Subgroups — #18070451

Order 4864.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₂₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉⋊C₁₂₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×D₆₄	C₂	1	1	yes	maximal, characteristic, complemented
4	D₆₀₈	—	2	1	no	—
5	C₁₉×D₃₂	—	2	1	no	—
6	C₁₉×C₆₄	C₂²	1	1	yes	characteristic
7	C₁₉×D₁₆	—	4	1	no	—
8	D₃₀₄	—	4	1	no	—
9	C₁₉×C₃₂	D₄	1	1	yes	characteristic
10	D₈×C₁₉	—	8	1	no	—
11	D₁₅₂	—	8	1	no	—
12	C₁₆×C₁₉	D₈	1	1	yes	characteristic
13	D₁₂₈	—	19	1	no	maximal, Sylow
14	D₄×C₁₉	—	16	1	no	—
15	D₇₆	—	16	1	no	—
16	C₈×C₁₉	D₁₆	1	1	yes	characteristic
17	D₆₄	—	19	1	no	—
18	D₆₄	D₁₉	1	1	yes	characteristic, complemented
19	C₁₂₈	—	19	1	no	—
20	C₂²×C₁₉	—	32	1	no	—
21	C₂×D₁₉	—	32	1	no	—
22	C₄×C₁₉	D₃₂	1	1	yes	characteristic
23	D₃₂	—	2	1	no	—
24	D₃₂	—	38	1	no	—
25	C₆₄	C₂×D₁₉	1	1	yes	characteristic
26	C₂×C₁₉	—	64	1	no	—
27	C₂×C₁₉	D₆₄	1	1	yes	characteristic
28	D₁₉	—	64	1	no	—
29	D₁₆	—	4	1	no	—
30	D₁₆	—	76	1	no	—
31	C₃₂	C₂²⋊D₁₉	1	1	yes	characteristic
32	C₁₉	D₁₂₈	1	1	yes	characteristic, complemented, Sylow
33	D₈	—	8	1	no	—
34	D₈	—	152	1	no	—
35	C₁₆	#64525	1	1	yes	characteristic
36	D₄	—	16	1	no	—
37	D₄	—	304	1	no	—
38	C₈	#10597283	1	1	yes	characteristic
39	C₂²	—	32	1	no	—
40	C₂²	—	608	1	no	—
41	C₄	#11926379	1	1	yes	characteristic
42	C₂	—	64	1	no	—
43	C₂	—	1216	1	no	—
44	C₂	#14561847	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.