Subgroups — C₂×#6107 #88197

Order 416.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×Dic₂₆	C₂	1	1	yes	maximal, characteristic
3	#6107	C₂	1	4	yes	maximal, direct product factor
4	C₂×#1055	C₂	1	1	yes	maximal, characteristic
5	Q₈×C₁₃	—	2	1	no	—
6	Q₈×C₁₃	C₂²	1	2	yes	—
7	C₂×C₄×C₁₃	—	2	1	no	—
8	C₂×C₄×C₁₃	C₂²	1	1	yes	characteristic
9	C₂×Dic₁₃	—	2	1	no	—
10	Dic₂₆	—	2	1	no	—
11	Dic₂₆	C₂²	1	2	yes	—
12	#1055	C₂²	1	2	yes	—
13	C₂²×C₁₃	D₄	1	1	yes	characteristic
14	C₄×C₁₃	—	2	2	no	—
15	C₄×C₁₃	D₄	1	1	yes	characteristic
16	C₄×C₁₃	C₂³	1	1	yes	characteristic
17	Dic₁₃	—	2	2	no	—
18	C₂×Q₁₆	—	13	1	no	maximal, Sylow
19	C₂×C₁₃	Q₁₆	1	2	yes	complemented
20	C₂×C₁₃	C₂×D₄	1	1	yes	characteristic
21	C₂×Q₈	—	13	1	no	—
22	C₂×Q₈	D₁₃	1	1	yes	characteristic
23	Q₁₆	—	13	4	no	—
24	C₂×C₈	—	13	1	no	—
25	C₁₃	C₂×Q₁₆	1	1	yes	characteristic, complemented, Sylow
26	Q₈	—	2	1	no	—
27	Q₈	—	13	2	no	—
28	Q₈	—	26	1	no	—
29	Q₈	C₂×D₁₃	1	2	yes	—
30	C₂×C₄	—	2	1	no	—
31	C₂×C₄	—	26	1	no	—
32	C₂×C₄	C₂×D₁₃	1	1	yes	characteristic
33	C₈	—	13	2	no	—
34	C₂²	C₂²⋊D₁₃	1	1	yes	characteristic
35	C₄	—	2	2	no	—
36	C₄	—	26	2	no	—
37	C₄	C₂²⋊D₁₃	1	1	yes	characteristic
38	C₄	C₂²×D₁₃	1	1	yes	characteristic
39	C₂	#6107	1	2	yes	direct product factor
40	C₂	C₂×C₂²⋊D₁₃	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.