Subgroups — #44527138

Order 31072.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Dic₁₉₄₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²⋊Dic₉₇₁	C₂	1	4	yes	maximal, complemented
3	C₄×Dic₉₇₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×C₉₇₁	C₂	1	1	yes	maximal, characteristic
5	Dic₁₉₄₂	—	2	2	no	—
6	C₂×Dic₉₇₁	C₂²	1	2	yes	—
7	C₂×Dic₉₇₁	C₂²	1	2	yes	—
8	C₂³×C₉₇₁	C₂²	1	2	yes	—
9	D₄×C₉₇₁	—	2	2	no	—
10	C₂×C₄×C₉₇₁	C₂²	1	1	yes	characteristic
11	C₂²×C₉₇₁	—	2	2	no	—
12	C₂²×C₉₇₁	—	2	4	no	—
13	C₂²×C₉₇₁	C₂³	1	1	yes	characteristic
14	C₄×C₉₇₁	D₄	1	2	yes	—
15	Dic₉₇₁	—	2	2	no	—
16	Dic₉₇₁	—	2	2	no	—
17	C₂×C₉₇₁	—	4	2	no	—
18	C₂×C₉₇₁	C₂×D₄	1	1	yes	characteristic
19	C₂×C₉₇₁	#41	1	2	yes	—
20	C₉₇₁	#124	1	1	yes	characteristic, complemented, Sylow
21	#124	—	971	1	no	maximal, Sylow
22	C₂×Q₈	—	971	1	no	—
23	C₂×D₄	D₉₇₁	1	1	yes	characteristic
24	C₂²⋊C₄	—	971	4	no	—
25	C₄²	—	971	1	no	—
26	C₂³	C₂×D₉₇₁	1	2	yes	—
27	Q₈	—	1942	2	no	—
28	D₄	—	2	2	no	—
29	C₂×C₄	—	971	2	no	—
30	C₂×C₄	—	971	2	no	—
31	C₂×C₄	C₂×D₉₇₁	1	1	yes	characteristic
32	C₂²	—	2	2	no	—
33	C₂²	—	2	4	no	—
34	C₂²	C₂²×D₉₇₁	1	1	yes	characteristic
35	C₄	—	1942	2	no	—
36	C₄	—	1942	2	no	—
37	C₄	C₂²⋊D₉₇₁	1	2	yes	—
38	C₂	—	4	2	no	—
39	C₂	C₂×C₂²⋊D₉₇₁	1	1	yes	characteristic
40	C₂	#29509488	1	2	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.