Subgroups — #14641685

Order 2816.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇₀₄	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁⋊C₁₂₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×D₆₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×D₃₂	—	2	1	no	—
5	D₃₅₂	—	2	1	no	—
6	C₁₁×C₆₄	C₂²	1	1	yes	characteristic
7	C₁₁×D₁₆	—	4	1	no	—
8	D₁₇₆	—	4	1	no	—
9	C₁₁×C₃₂	D₄	1	1	yes	characteristic
10	D₁₂₈	—	11	1	no	maximal, Sylow
11	C₁₁×D₈	—	8	1	no	—
12	D₈₈	—	8	1	no	—
13	C₁₁×C₁₆	D₈	1	1	yes	characteristic
14	D₆₄	—	11	1	no	—
15	D₆₄	D₁₁	1	1	yes	characteristic, complemented
16	C₁₂₈	—	11	1	no	—
17	D₄×C₁₁	—	16	1	no	—
18	D₄₄	—	16	1	no	—
19	C₈×C₁₁	D₁₆	1	1	yes	characteristic
20	D₃₂	—	2	1	no	—
21	D₃₂	—	22	1	no	—
22	C₆₄	C₂×D₁₁	1	1	yes	characteristic
23	C₂²×C₁₁	—	32	1	no	—
24	C₂×D₁₁	—	32	1	no	—
25	C₄×C₁₁	D₃₂	1	1	yes	characteristic
26	D₁₆	—	4	1	no	—
27	D₁₆	—	44	1	no	—
28	C₃₂	C₂²⋊D₁₁	1	1	yes	characteristic
29	C₂×C₁₁	—	64	1	no	—
30	C₂×C₁₁	D₆₄	1	1	yes	characteristic
31	D₁₁	—	64	1	no	—
32	D₈	—	8	1	no	—
33	D₈	—	88	1	no	—
34	C₁₆	#4323	1	1	yes	characteristic
35	C₁₁	D₁₂₈	1	1	yes	characteristic, complemented, Sylow
36	D₄	—	16	1	no	—
37	D₄	—	176	1	no	—
38	C₈	#66890	1	1	yes	characteristic
39	C₂²	—	32	1	no	—
40	C₂²	—	352	1	no	—
41	C₄	#10622157	1	1	yes	characteristic
42	C₂	—	64	1	no	—
43	C₂	—	704	1	no	—
44	C₂	#13066828	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.