Character Table Info for HN

Group Order:

273030912000000 = 2¹⁴ 3⁶ 5⁶ 7 11 19

Number of Classes:

54

InfoText Value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19]

Maximal subgroups:

Order	Index	Name
239500800	1140000	A12
177408000	1539000	2.HS.2
16547328	16500000	U3(8).31
3686400	74064375	2^(1+8).(A5xA5).2
2520000	108345600	(D10xU3(5)).2
2000000	136515456	5^(1+4):2^(1+4).5.4
1658880	164587500	2^6.U4(2)
1036800	263340000	(A6xA6).D8
1032192	264515625	2^3.2^2.2^6.(3xL3(2))
750000	364041216	5^2.5.5^2.4A5
190080	1436400000	M12.2
190080	1436400000	HNM12
93312	2926000000	3^4:2(A4xA4).4
58320	4681600000	3^(1+4):4A5

Stored class fusions from this table:

Name

HN.2

Stored class fusions to this table:

Name

A12

HNM12

M12.2

(D10xU3(5)).2

2^(1+8).(A5xA5).2

2^3.2^2.2^6.(3xL3(2))

2^6.U4(2)

3^(1+4):4A5

3^4:2(A4xA4).4

5^(1+4):2^(1+4).5.4

5^2.5.5^2.4A5

(A6xA6):2^2

(A6xA6).D8

2.HS.2

U3(8).31

File created automatically by GAP on 15-Oct-2003.