Subgroups — #11926367

Order 1216.

42 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×M₃₂	C₂	1	1	yes	maximal, characteristic
2	#10597276	C₂	1	1	yes	maximal, characteristic
3	#10597274	C₂	1	1	yes	maximal, characteristic
4	C₂×C₈×C₁₉	C₂²	1	1	yes	characteristic
5	C₄⋊Dic₁₉	—	2	1	no	—
6	#64520	—	2	1	no	—
7	C₁₆×C₁₉	C₄	1	2	yes	complemented
8	C₂×C₄×C₁₉	D₄	1	1	yes	characteristic
9	C₂×Dic₁₉	—	4	1	no	—
10	C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
11	C₈×C₁₉	Q₈	1	1	yes	characteristic
12	C₁₉⋊C₈	—	4	1	no	—
13	C₂²×C₁₉	SD₁₆	1	1	yes	characteristic
14	C₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
15	C₄×C₁₉	SD₁₆	1	1	yes	characteristic
16	Dic₁₉	—	8	1	no	—
17	#365	—	19	1	no	maximal, Sylow
18	C₂×C₁₉	—	2	1	no	—
19	C₂×C₁₉	#106	1	1	yes	characteristic
20	M₃₂	D₁₉	1	1	yes	characteristic
21	#108	—	19	1	no	—
22	#106	—	19	1	no	—
23	C₁₉	#365	1	1	yes	characteristic, complemented, Sylow
24	M₁₆	—	38	1	no	—
25	C₂×C₈	C₂×D₁₉	1	1	yes	characteristic
26	C₄⋊C₄	—	38	1	no	—
27	C₁₆	Dic₁₉	1	2	yes	complemented
28	C₂×C₄	—	76	1	no	—
29	C₂×C₄	D₇₆	1	1	yes	characteristic
30	C₈	—	76	1	no	—
31	C₈	Dic₃₈	1	1	yes	characteristic
32	C₈	C₂×Dic₁₉	1	1	yes	characteristic
33	C₂²	#64516	1	1	yes	characteristic
34	C₄	—	152	1	no	—
35	C₄	#64516	1	1	yes	characteristic
36	C₄	C₄⋊Dic₁₉	1	1	yes	characteristic
37	C₂	—	2	1	no	—
38	C₂	#10597274	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.