Subgroups — #13094046

Order 1504.

62 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10625350	C₂	1	2	yes	maximal, complemented
2	C₂×C₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	Dic₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
4	D₃₇₆	C₂	1	1	yes	maximal, characteristic, complemented
5	#10625325	C₂	1	2	yes	maximal, complemented
6	C₂×C₄×C₄₇	C₂²	1	1	yes	characteristic
7	C₂²⋊D₄₇	—	2	2	no	—
8	D₁₈₈	C₂²	1	2	yes	—
9	C₄×D₄₇	—	2	2	no	—
10	Dic₉₄	C₂²	1	2	yes	—
11	C₈×C₄₇	C₂²	1	1	yes	characteristic
12	C₈×C₄₇	C₂²	1	1	yes	characteristic
13	C₂²×C₄₇	D₄	1	1	yes	characteristic
14	C₂×D₄₇	—	2	2	no	—
15	C₄×C₄₇	D₄	1	1	yes	characteristic
16	C₄×C₄₇	C₂³	1	1	yes	characteristic
17	Dic₄₇	—	2	2	no	—
18	C₂×C₄₇	—	2	1	no	—
19	C₂×C₄₇	C₂×D₄	1	1	yes	characteristic
20	D₄₇	—	4	2	no	—
21	C₄₇	#135	1	1	yes	characteristic, complemented, Sylow
22	#135	—	47	1	no	maximal, Sylow
23	#41	—	47	2	no	—
24	Q₁₆	—	47	1	no	—
25	SD₁₆	—	47	2	no	—
26	D₈	—	47	1	no	—
27	C₂×C₈	D₄₇	1	1	yes	characteristic, complemented
28	Q₈	—	47	2	no	—
29	D₄	—	47	2	no	—
30	D₄	—	94	2	no	—
31	C₂×C₄	—	94	2	no	—
32	C₂×C₄	C₂×D₄₇	1	1	yes	characteristic
33	C₈	C₂×D₄₇	1	1	yes	characteristic
34	C₈	C₂×D₄₇	1	1	yes	characteristic
35	C₂²	—	94	2	no	—
36	C₂²	D₁₈₈	1	1	yes	characteristic
37	C₄	—	94	2	no	—
38	C₄	D₁₈₈	1	1	yes	characteristic
39	C₄	C₂²×D₄₇	1	1	yes	characteristic
40	C₂	—	2	1	no	—
41	C₂	—	188	2	no	—
42	C₂	C₂×D₁₈₈	1	1	yes	characteristic

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.