Subgroups — #13092285

Order 1472.

138 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄²×C₂₃	C₂	1	1	yes	maximal, characteristic
2	C₂₃⋊#95	C₂	1	6	yes	maximal
3	C₂²×C₄×C₂₃	C₂²	1	3	yes	—
4	C₂²×Dic₂₃	C₂²	1	4	yes	—
5	C₄²×C₂₃	C₄	1	4	yes	complemented
6	C₂³×C₂₃	C₂³	1	1	yes	characteristic
7	C₂×C₄×C₂₃	—	2	6	no	—
8	C₂×C₄×C₂₃	C₂×C₄	1	6	yes	—
9	C₂×Dic₂₃	—	2	12	no	—
10	C₂²×C₂₃	C₂²×C₄	1	1	yes	characteristic
11	C₂²×C₂₃	#41	1	6	yes	—
12	C₄×C₂₃	—	2	6	no	—
13	Dic₂₃	—	4	4	no	—
14	#383	—	23	1	no	maximal, Sylow
15	C₂×C₂₃	#117	1	3	yes	—
16	C₂×C₂₃	#126	1	4	yes	—
17	C₂×C₄²	D₂₃	1	1	yes	characteristic
18	#95	—	23	6	no	—
19	C₂₃	#383	1	1	yes	characteristic, complemented, Sylow
20	C₂²×C₄	—	23	4	no	—
21	C₂²×C₄	C₂×D₂₃	1	3	yes	—
22	C₄²	Dic₂₃	1	4	yes	complemented
23	C₂³	C₂²×D₂₃	1	1	yes	characteristic
24	C₂×C₄	—	2	6	no	—
25	C₂×C₄	—	46	12	no	—
26	C₂×C₄	C₂×Dic₂₃	1	6	yes	—
27	C₂²	#67288	1	6	yes	—
28	C₂²	C₂²×Dic₂₃	1	1	yes	characteristic
29	C₄	—	2	6	no	—
30	C₄	—	92	4	no	—
31	C₂	#10625047	1	4	yes	—
32	C₂	#10625097	1	3	yes	—

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.