Subgroups — C₂×Dic₁₈₂ #13089902

Order 1456.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₇×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×Dic₉₁	C₂	1	2	yes	maximal
3	Dic₁₈₂	C₂	1	4	yes	maximal, direct product factor
4	C₂²×C₇×C₁₃	C₂²	1	1	yes	characteristic
5	C₄×C₇×C₁₃	C₂²	1	2	yes	—
6	Dic₉₁	C₂²	1	4	yes	—
7	C₂×Dic₂₆	—	7	1	no	maximal, Hall
8	C₂×C₇×C₁₃	Q₈	1	2	yes	complemented
9	C₂×C₇×C₁₃	C₂³	1	1	yes	characteristic
10	C₂×Dic₁₄	—	13	1	no	maximal, Hall
11	C₂×C₄×C₁₃	D₇	1	1	yes	characteristic
12	C₂×Dic₁₃	—	7	2	no	—
13	Dic₂₆	—	7	4	no	—
14	C₇×C₁₃	C₂×Q₈	1	1	yes	characteristic, complemented, Hall
15	C₂×C₄×C₇	D₁₃	1	1	yes	characteristic
16	C₂×Dic₇	—	13	2	no	—
17	Dic₁₄	—	13	4	no	—
18	C₂²×C₁₃	C₂×D₇	1	1	yes	characteristic
19	C₄×C₁₃	C₂×D₇	1	2	yes	—
20	Dic₁₃	—	7	4	no	—
21	C₂²×C₇	C₂×D₁₃	1	1	yes	characteristic
22	C₄×C₇	C₂×D₁₃	1	2	yes	—
23	Dic₇	—	13	4	no	—
24	C₂×C₁₃	Dic₁₄	1	2	yes	complemented
25	C₂×C₁₃	C₂²×D₇	1	1	yes	characteristic
26	C₂×Q₈	—	91	1	no	Sylow
27	C₂×C₇	Dic₂₆	1	2	yes	complemented
28	C₂×C₇	C₂²×D₁₃	1	1	yes	characteristic
29	C₁₃	C₂×Dic₁₄	1	1	yes	characteristic, complemented, Sylow
30	Q₈	—	91	4	no	—
31	C₂×C₄	—	91	2	no	—
32	C₂×C₄	D₉₁	1	1	yes	characteristic
33	C₇	C₂×Dic₂₆	1	1	yes	characteristic, complemented, Sylow
34	C₂²	C₂×D₉₁	1	1	yes	characteristic
35	C₄	—	91	4	no	—
36	C₄	C₂×D₉₁	1	2	yes	—
37	C₂	Dic₁₈₂	1	2	yes	direct product factor
38	C₂	C₂²×D₉₁	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.