Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for ON.2

Name:

ON.2

Group order:

921631011840 = 2¹⁰ ⋅ 3⁴ ⋅ 5 ⋅ 7³ ⋅ 11 ⋅ 19 ⋅ 31

Number of classes:

45

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19,31], constructions: Aut(ON)

Maximal subgroups:

	Order	Index	Structure	Name
1	460815505920	2	ON	ON
2	351120	2624832	J1 × 2	J1x2
3	322560	2857239	42.L3(4).(22)12*3	4_2.L3(4).(2^2)_{12*3}
4	51840	17778376	(32:4 × A6).22	(3^2:4xA6).2^2
5	51840	17778376	34:21+4.(5:4)	3^4:2^(1+4).(5:4)
6	21504	42858585	43.(L3(2) × 2)	4^3.(L3(2)x2)
7	16464	55978560	71+2+:(3 × D16)	7^(1+2)_+:(3xD16)
8	930	991001088	31:30	31:30
9	720	1280043072	A6.22	A6.2_2
10	336	2742949440	L3(2).2	L3(2).2

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	1024	900030285	ON.2N2	ON.2N2
3	51840	17778376	34:21+4.(5:4)	3^4:2^(1+4).(5:4)
5	1440	640021536	(32:D8 × D10).2	(3^2:D8xD10).2
7	16464	55978560	71+2+:(3 × D16)	7^(1+2)_+:(3xD16)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
11	dec. matrix (PDF)
19	dec. matrix (PDF)
31	dec. matrix (PDF)

Atlas representations:

8 available

Group constructions in GAP:

AtlasGroup( "ON.2" ), AutomorphismGroup( AtlasGroup( "ON" ) )

Stored class fusions to this table:

3.ON.2, 3⁴:2¹⁺⁴.(5:4), 4³.(L₃(2) × 2), 4₂.L₃(4).(2²)_12*3, 7¹⁺²₊:(3 × D₁₆), 31:30, (3²:4 × A₆).2², (3²:D₈ × D₁₀).2, A₆.2₂, J₁ × 2, L₃(2).2, NDG(ON, D₈).2, ON, ON.2N2

File created automatically by GAP on 13-Mar-2024.