Subgroups — #14520876

Order 1984.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#107	C₂	1	1	yes	maximal, characteristic
2	#11758406	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃₁⋊C₁₆	C₂	1	1	yes	maximal, characteristic
4	C₂×C₈×C₃₁	C₂²	1	1	yes	characteristic
5	C₄⋊C₄×C₃₁	—	2	1	no	—
6	C₄⋊Dic₃₁	—	2	1	no	—
7	C₃₁⋊C₁₆	C₄	1	2	yes	complemented
8	C₂×C₄×C₃₁	—	4	1	no	—
9	C₂×C₄×C₃₁	D₄	1	1	yes	characteristic
10	C₂×Dic₃₁	—	4	1	no	—
11	C₈×C₃₁	C₂×C₄	1	1	yes	characteristic
12	C₈×C₃₁	Q₈	1	1	yes	characteristic
13	C₂²×C₃₁	D₈	1	1	yes	characteristic
14	C₄×C₃₁	—	8	1	no	—
15	C₄×C₃₁	C₄⋊C₄	1	1	yes	characteristic
16	C₄×C₃₁	Q₁₆	1	1	yes	characteristic
17	Dic₃₁	—	8	1	no	—
18	#367	—	31	1	no	maximal, Sylow
19	C₂×C₃₁	#107	1	1	yes	characteristic
20	C₂×C₃₁	SD₃₂	1	1	yes	characteristic
21	C₂×C₃₁	SD₃₂	1	1	yes	characteristic
22	C₂×C₁₆	—	31	1	no	—
23	#107	—	31	1	no	—
24	#107	D₃₁	1	1	yes	characteristic
25	C₃₁	#367	1	1	yes	characteristic, complemented, Sylow
26	C₂×C₈	C₂×D₃₁	1	1	yes	characteristic
27	C₄⋊C₄	—	2	1	no	—
28	C₄⋊C₄	—	62	1	no	—
29	C₁₆	—	31	2	no	—
30	C₂×C₄	—	4	1	no	—
31	C₂×C₄	—	124	1	no	—
32	C₂×C₄	C₂²⋊D₃₁	1	1	yes	characteristic
33	C₈	Dic₆₂	1	1	yes	characteristic
34	C₈	C₄×D₃₁	1	1	yes	characteristic
35	C₂²	#92479	1	1	yes	characteristic
36	C₄	—	8	1	no	—
37	C₄	—	248	1	no	—
38	C₄	Dic₃₁⋊C₄	1	1	yes	characteristic
39	C₄	#92482	1	1	yes	characteristic
40	C₂	#11758395	1	1	yes	characteristic
41	C₂	#11758415	1	1	yes	characteristic
42	C₂	#11758416	1	1	yes	characteristic

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

N	H ≅ G/N	type
7. C₃₁⋊C₁₆	C₄	semidirect
25. C₃₁	#367	semidirect

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