Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.F₃₊

Name:

3.F3+

Group order:

3765617127571985163878400 = 2²¹ ⋅ 3¹⁷ ⋅ 5² ⋅ 7³ ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 23 ⋅ 29

Number of classes:

256

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Some maximal subgroups:

	Order	Index	Structure	Name
1	12268411419879014400	306936	3 × Fi23	3xFi23

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	86400	43583531569120198656	3.F3+N5	3.F3+N5
7	37044	101652551764711833600	3 × F3+N7	3xF3+N7
11	3960	950913416053531607040	3 × (A4 × 11:5).2	3x(A4x11:5).2
17	816	4614726872024491622400	3 × 17:16	3x17:16
23	759	4961287388105382297600	3 × 23:11	3x23:11
29	1218	3091639677809511628800	3 × 29:14	3x29:14

Available Brauer tables:

p
11	dec. matrix (PDF)
23	dec. matrix (PDF)

Group constructions in GAP:

AtlasGroup( "3.Fi24'" )

Stored class fusions from this table:

3.F₃₊.2, F₃₊

Stored class fusions to this table:

3.2¹⁺¹².3U₄(3).2, 3.F₃₊N5, 3 × (D₁₀ × A₉).2, 3 × F₃₊N7, 3 × Fi₂₃, (3¹⁺²₊:2 × 13:6).2, Fi₂₃

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