Subgroups — #15693069

Order 3296.

146 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13110106	C₂	1	4	yes	maximal, complemented
2	#13110105	C₂	1	6	yes	maximal, complemented
3	Q₈×D₁₀₃	C₂	1	4	yes	maximal, complemented
4	C₂×Q₈×C₁₀₃	C₂	1	1	yes	maximal, characteristic, complemented
5	Q₈×C₁₀₃	C₂²	1	4	yes	—
6	C₂×C₄×C₁₀₃	C₂²	1	3	yes	—
7	C₂²⋊D₁₀₃	C₂²	1	4	yes	—
8	D₄₁₂	C₂²	1	6	yes	—
9	C₄×D₁₀₃	C₂²	1	12	yes	—
10	Dic₂₀₆	C₂²	1	6	yes	—
11	C₂²×C₁₀₃	C₂³	1	1	yes	characteristic
12	C₂×D₁₀₃	C₂³	1	4	yes	—
13	C₄×C₁₀₃	C₂³	1	6	yes	—
14	Dic₁₀₃	C₂³	1	4	yes	—
15	C₂×C₁₀₃	—	2	1	no	—
16	C₂×C₁₀₃	C₂⁴	1	1	yes	characteristic
17	D₁₀₃	—	2	4	no	—
18	C₁₀₃	2₋¹⁺⁴	1	1	yes	characteristic, complemented, Sylow
19	2₋¹⁺⁴	—	103	1	no	maximal, Sylow
20	#41	—	103	4	no	—
21	#41	—	103	6	no	—
22	C₂×Q₈	—	103	4	no	—
23	C₂×Q₈	D₁₀₃	1	1	yes	characteristic, complemented
24	Q₈	—	103	6	no	—
25	Q₈	C₂×D₁₀₃	1	4	yes	—
26	D₄	—	103	4	no	—
27	D₄	—	103	6	no	—
28	C₂×C₄	—	103	12	no	—
29	C₂×C₄	C₂×D₁₀₃	1	3	yes	—
30	C₂²	—	103	4	no	—
31	C₂²	C₂²×D₁₀₃	1	1	yes	characteristic
32	C₄	—	103	4	no	—
33	C₄	C₂²×D₁₀₃	1	6	yes	—
34	C₂	—	2	1	no	—
35	C₂	—	206	4	no	—
36	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.