Subgroups — #20267659

Order 6592.

138 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₀₃⋊#95	C₂	1	6	yes	maximal
2	C₂×C₄²×C₁₀₃	C₂	1	1	yes	maximal, characteristic
3	C₂²×Dic₁₀₃	C₂²	1	4	yes	—
4	C₂²×C₄×C₁₀₃	C₂²	1	3	yes	—
5	C₄²×C₁₀₃	C₄	1	4	yes	complemented
6	C₂³×C₁₀₃	C₂³	1	1	yes	characteristic
7	C₂×C₄×C₁₀₃	—	2	6	no	—
8	C₂×C₄×C₁₀₃	C₂×C₄	1	6	yes	—
9	C₂×Dic₁₀₃	—	2	12	no	—
10	C₂²×C₁₀₃	C₂²×C₄	1	1	yes	characteristic
11	C₂²×C₁₀₃	#41	1	6	yes	—
12	C₄×C₁₀₃	—	2	6	no	—
13	Dic₁₀₃	—	4	4	no	—
14	C₂×C₁₀₃	#117	1	3	yes	—
15	C₂×C₁₀₃	#126	1	4	yes	—
16	C₁₀₃	#383	1	1	yes	characteristic, complemented, Sylow
17	#383	—	103	1	no	maximal, Sylow
18	C₂×C₄²	D₁₀₃	1	1	yes	characteristic
19	#95	—	103	6	no	—
20	C₂²×C₄	—	103	4	no	—
21	C₂²×C₄	C₂×D₁₀₃	1	3	yes	—
22	C₄²	Dic₁₀₃	1	4	yes	complemented
23	C₂³	C₂²×D₁₀₃	1	1	yes	characteristic
24	C₂×C₄	—	2	6	no	—
25	C₂×C₄	—	206	12	no	—
26	C₂×C₄	C₂×Dic₁₀₃	1	6	yes	—
27	C₂²	C₂²×Dic₁₀₃	1	1	yes	characteristic
28	C₂²	#13110105	1	6	yes	—
29	C₄	—	2	6	no	—
30	C₄	—	412	4	no	—
31	C₂	#15692980	1	3	yes	—
32	C₂	#15693015	1	4	yes	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.