Subgroups — C₂×#13110106 #15693065

Order 3296.

164 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13110106	C₂	1	8	yes	maximal, direct product factor
2	C₂×D₄₁₂	C₂	1	3	yes	maximal, complemented
3	C₂×C₄×D₁₀₃	C₂	1	3	yes	maximal, complemented
4	C₂×Q₈×C₁₀₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×D₁₀₃	C₂²	1	3	yes	—
6	Q₈×C₁₀₃	C₂²	1	4	yes	complemented
7	C₂×C₄×C₁₀₃	C₂²	1	3	yes	—
8	C₂×Dic₁₀₃	C₂²	1	1	yes	characteristic
9	D₄₁₂	C₂²	1	12	yes	complemented
10	C₄×D₁₀₃	C₂²	1	12	yes	complemented
11	C₂²×C₁₀₃	C₂³	1	1	yes	characteristic
12	C₂×D₁₀₃	—	2	6	no	—
13	C₂×D₁₀₃	C₂³	1	6	yes	—
14	C₄×C₁₀₃	C₂³	1	6	yes	—
15	Dic₁₀₃	C₂³	1	2	yes	—
16	C₂×C₁₀₃	#41	1	2	yes	complemented
17	C₂×C₁₀₃	C₂⁴	1	1	yes	characteristic
18	D₁₀₃	—	2	6	no	—
19	C₁₀₃	C₂×#41	1	1	yes	characteristic, complemented, Sylow
20	C₂×#41	—	103	1	no	maximal, Sylow
21	#41	—	103	8	no	—
22	C₂×Q₈	D₁₀₃	1	1	yes	characteristic, complemented
23	C₂×D₄	—	103	3	no	—
24	C₂²×C₄	—	103	3	no	—
25	C₂³	—	103	3	no	—
26	Q₈	C₂×D₁₀₃	1	4	yes	complemented
27	D₄	—	103	12	no	—
28	C₂×C₄	—	103	1	no	—
29	C₂×C₄	—	103	12	no	—
30	C₂×C₄	C₂×D₁₀₃	1	3	yes	—
31	C₂²	—	103	6	no	—
32	C₂²	—	206	6	no	—
33	C₂²	C₂²×D₁₀₃	1	1	yes	characteristic
34	C₄	—	103	2	no	—
35	C₄	C₂²×D₁₀₃	1	6	yes	—
36	C₂	—	206	6	no	—
37	C₂	#13110106	1	2	yes	direct product factor
38	C₂	C₂³×D₁₀₃	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.