Subgroups — #14515421

Order 1936.

33 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×C₁₂₁	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄₈₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₂₁⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₁₂₁	—	2	1	no	—
5	C₂×D₁₂₁	—	2	1	no	—
6	C₄×C₁₂₁	C₂²	1	1	yes	characteristic
7	C₂×C₁₂₁	—	4	1	no	—
8	C₂×C₁₂₁	D₄	1	1	yes	characteristic
9	D₁₂₁	—	4	1	no	—
10	#4323	—	11	1	no	maximal
11	C₁₂₁	D₈	1	1	yes	characteristic, complemented, Sylow
12	D₄×C₁₁	D₁₁	1	1	yes	characteristic
13	D₄₄	—	11	1	no	—
14	C₁₁⋊C₈	—	11	1	no	—
15	C₂²×C₁₁	—	2	1	no	—
16	C₂×D₁₁	—	22	1	no	—
17	C₄×C₁₁	C₂×D₁₁	1	1	yes	characteristic
18	C₂×C₁₁	—	4	1	no	—
19	C₂×C₁₁	C₂²⋊D₁₁	1	1	yes	characteristic
20	D₁₁	—	44	1	no	—
21	D₈	—	121	1	no	Sylow
22	C₁₁	#4323	1	1	yes	characteristic
23	D₄	—	121	1	no	—
24	D₄	D₁₂₁	1	1	yes	characteristic, complemented
25	C₈	—	121	1	no	—
26	C₂²	—	2	1	no	—
27	C₂²	—	242	1	no	—
28	C₄	C₂×D₁₂₁	1	1	yes	characteristic
29	C₂	—	4	1	no	—
30	C₂	—	484	1	no	—
31	C₂	C₂²⋊D₁₂₁	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.