Subgroups — #11926293

Order 1216.

64 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₄⋊(C₁₉⋊C₈)	C₂	1	2	yes	maximal
3	C₂×Q₈×C₁₉	C₄	1	2	yes	—
4	C₄⋊C₄×C₁₉	—	2	2	no	—
5	C₄²×C₁₉	C₂²	1	1	yes	characteristic
6	C₂×C₁₉⋊C₈	—	2	2	no	—
7	Q₈×C₁₉	—	4	2	no	—
8	C₂×C₄×C₁₉	—	2	2	no	—
9	C₂×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
10	C₂×C₄×C₁₉	D₄	1	2	yes	—
11	C₁₉⋊C₈	—	4	2	no	—
12	C₂²×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
13	C₄×C₁₉	—	2	1	no	—
14	C₄×C₁₉	—	4	2	no	—
15	C₄×C₁₉	SD₁₆	1	2	yes	—
16	C₄×C₁₉	Q₁₆	1	2	yes	—
17	#333	—	19	1	no	maximal, Sylow
18	C₂×C₁₉	#100	1	1	yes	characteristic
19	C₂×C₁₉	#103	1	2	yes	—
20	C₄⋊Q₈	D₁₉	1	1	yes	characteristic
21	C₄⋊C₈	—	19	2	no	—
22	C₁₉	#333	1	1	yes	characteristic, complemented, Sylow
23	C₂×Q₈	Dic₁₉	1	2	yes	—
24	C₂×C₈	—	38	2	no	—
25	C₄⋊C₄	—	2	2	no	—
26	C₄²	C₂×D₁₉	1	1	yes	characteristic
27	Q₈	—	4	2	no	—
28	C₂×C₄	—	2	2	no	—
29	C₂×C₄	C₂×Dic₁₉	1	1	yes	characteristic
30	C₂×C₄	C₂²⋊D₁₉	1	2	yes	—
31	C₈	—	76	2	no	—
32	C₂²	C₂²⋊Dic₁₉	1	1	yes	characteristic
33	C₄	—	2	1	no	—
34	C₄	—	4	2	no	—
35	C₄	#64527	1	2	yes	—
36	C₄	#64528	1	2	yes	—
37	C₂	#10597290	1	1	yes	characteristic
38	C₂	#10597292	1	2	yes	—

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

N	H ≅ G/N	type
22. C₁₉	#333	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.