Subgroups — #14561851

Order 2432.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₃₀₄	C₂	1	1	yes	maximal, characteristic, complemented
2	D₆₀₈	C₂	1	1	yes	maximal, characteristic
3	C₁₉×C₆₄	C₂	1	1	yes	maximal, characteristic, complemented
4	Dic₁₅₂	—	2	1	no	—
5	D₃₀₄	—	2	1	no	—
6	C₁₉×C₃₂	C₂²	1	1	yes	characteristic
7	Dic₇₆	—	4	1	no	—
8	D₁₅₂	—	4	1	no	—
9	C₁₆×C₁₉	D₄	1	1	yes	characteristic
10	D₇₆	—	8	1	no	—
11	Dic₃₈	—	8	1	no	—
12	C₈×C₁₉	D₈	1	1	yes	characteristic
13	SD₁₂₈	—	19	1	no	maximal, Sylow
14	C₂×D₁₉	—	16	1	no	—
15	C₄×C₁₉	D₁₆	1	1	yes	characteristic
16	Dic₁₉	—	16	1	no	—
17	Q₆₄	—	19	1	no	—
18	D₃₂	—	19	1	no	—
19	C₆₄	D₁₉	1	1	yes	characteristic, complemented
20	C₂×C₁₉	D₃₂	1	1	yes	characteristic
21	D₁₉	—	32	1	no	—
22	Q₃₂	—	38	1	no	—
23	D₁₆	—	38	1	no	—
24	C₃₂	C₂×D₁₉	1	1	yes	characteristic
25	C₁₉	SD₁₂₈	1	1	yes	characteristic, complemented, Sylow
26	Q₁₆	—	76	1	no	—
27	D₈	—	76	1	no	—
28	C₁₆	D₇₆	1	1	yes	characteristic
29	Q₈	—	152	1	no	—
30	D₄	—	152	1	no	—
31	C₈	D₁₅₂	1	1	yes	characteristic
32	C₂²	—	304	1	no	—
33	C₄	—	304	1	no	—
34	C₄	D₃₀₄	1	1	yes	characteristic
35	C₂	—	608	1	no	—
36	C₂	D₆₀₈	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.