Subgroups — C₂₃×C₇⋊#4223 #40995992

Order 26404.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×C₂₃×D₄₁	C₂	1	1	yes	maximal, characteristic
2	C₇×C₂₃×C₄₁	C₄	1	1	yes	characteristic, complemented, Hall
3	C₂₃×#4223	—	7	1	no	maximal, Hall
4	C₂₃×D₄₁	D₇	1	1	yes	characteristic
5	C₇⋊#4223	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂₃×C₄₁	Dic₇	1	1	yes	characteristic, complemented, Hall
7	C₂₃×Dic₇	—	41	1	no	maximal, Hall
8	C₇×D₄₁	C₂×C₂₃	1	1	yes	characteristic
9	C₂×C₇×C₂₃	—	41	1	no	—
10	C₇×C₄₁	C₄×C₂₃	1	1	yes	characteristic, complemented, Hall
11	#4223	—	7	1	no	Hall
12	C₇×C₂₃	#4223	1	1	yes	characteristic, complemented, Hall
13	C₄×C₂₃	—	287	1	no	Hall
14	D₄₁	D₇×C₂₃	1	1	yes	characteristic
15	C₂×C₂₃	—	41	1	no	—
16	C₄₁	C₂₃×Dic₇	1	1	yes	characteristic, complemented, Sylow
17	Dic₇	—	41	1	no	Hall
18	C₂₃	C₇⋊#4223	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₇	—	41	1	no	—
20	C₇	C₂₃×#4223	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	287	1	no	Sylow
22	C₂	—	41	1	no	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.