Subgroups — #11718596

Order 832.

186 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄²×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄⋊Dic₁₃	C₂	1	6	yes	maximal
3	C₂²×C₄×C₁₃	C₂²	1	3	yes	—
4	C₂²×Dic₁₃	C₂²	1	4	yes	—
5	C₄²×C₁₃	C₄	1	4	yes	complemented
6	C₄⋊Dic₁₃	—	2	12	no	—
7	C₂³×C₁₃	C₂³	1	1	yes	characteristic
8	C₂×C₄×C₁₃	C₂×C₄	1	6	yes	—
9	C₂×C₄×C₁₃	D₄	1	6	yes	—
10	C₂×C₄×C₁₃	Q₈	1	6	yes	—
11	C₂×Dic₁₃	—	2	12	no	—
12	#384	—	13	1	no	maximal, Sylow
13	C₂²×C₁₃	C₂²×C₄	1	1	yes	characteristic
14	C₂²×C₁₃	C₂×D₄	1	3	yes	—
15	C₂²×C₁₃	C₂×Q₈	1	3	yes	—
16	C₄×C₁₃	C₄⋊C₄	1	12	yes	complemented
17	Dic₁₃	—	4	4	no	—
18	C₂×C₄⋊C₄	—	13	6	no	—
19	C₂×C₄²	D₁₃	1	1	yes	characteristic
20	C₂×C₁₃	C₂×C₄⋊C₄	1	3	yes	—
21	C₂×C₁₃	#127	1	1	yes	characteristic
22	C₂×C₁₃	C₄⋊Q₈	1	3	yes	—
23	C₂²×C₄	—	13	4	no	—
24	C₂²×C₄	C₂×D₁₃	1	3	yes	—
25	C₄⋊C₄	—	26	12	no	—
26	C₄²	Dic₁₃	1	4	yes	complemented
27	C₁₃	#384	1	1	yes	characteristic, complemented, Sylow
28	C₂³	C₂²×D₁₃	1	1	yes	characteristic
29	C₂×C₄	—	26	12	no	—
30	C₂×C₄	Dic₂₆	1	6	yes	—
31	C₂×C₄	D₅₂	1	6	yes	—
32	C₂×C₄	C₂×Dic₁₃	1	6	yes	—
33	C₂²	C₂×Dic₂₆	1	3	yes	—
34	C₂²	C₂×D₅₂	1	3	yes	—
35	C₂²	C₂²×Dic₁₃	1	1	yes	characteristic
36	C₄	—	52	4	no	—
37	C₄	C₄⋊Dic₁₃	1	12	yes	complemented
38	C₂	#88123	1	3	yes	—
39	C₂	#88128	1	1	yes	characteristic
40	C₂	C₂×C₄⋊Dic₁₃	1	3	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.