Subgroups — #11926321

Order 1216.

46 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	#10597272	C₂	1	1	yes	maximal, characteristic
3	#10597269	C₂	1	1	yes	maximal, characteristic
4	C₂×C₈×C₁₉	C₂²	1	1	yes	characteristic
5	C₄×Dic₁₉	C₄	1	1	yes	characteristic
6	C₂×C₁₉⋊C₈	C₄	1	1	yes	characteristic
7	C₁₆×C₁₉	C₄	1	2	yes	complemented
8	C₁₉⋊C₁₆	C₄	1	2	yes	complemented
9	C₂×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
10	C₂×Dic₁₉	—	2	1	no	—
11	C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
12	C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
13	C₁₉⋊C₈	—	2	1	no	—
14	C₂²×C₁₉	M₁₆	1	1	yes	characteristic
15	C₄×C₁₉	C₄²	1	1	yes	characteristic
16	C₄×C₁₉	M₁₆	1	1	yes	characteristic
17	Dic₁₉	—	4	1	no	—
18	#347	—	19	1	no	maximal, Sylow
19	C₂×C₁₉	—	2	1	no	—
20	C₂×C₁₉	#97	1	1	yes	characteristic
21	M₃₂	—	19	1	no	—
22	M₃₂	D₁₉	1	1	yes	characteristic
23	#97	—	19	1	no	—
24	C₁₉	#347	1	1	yes	characteristic, complemented, Sylow
25	C₂×C₈	—	19	1	no	—
26	C₂×C₈	C₂×D₁₉	1	1	yes	characteristic
27	C₄²	—	19	1	no	—
28	C₁₆	—	19	2	no	—
29	C₁₆	Dic₁₉	1	2	yes	complemented
30	C₂×C₄	—	38	1	no	—
31	C₂×C₄	C₄×D₁₉	1	1	yes	characteristic
32	C₈	—	38	1	no	—
33	C₈	C₄×D₁₉	1	1	yes	characteristic
34	C₈	C₂×Dic₁₉	1	1	yes	characteristic
35	C₂²	#64515	1	1	yes	characteristic
36	C₄	—	76	1	no	—
37	C₄	#64515	1	1	yes	characteristic
38	C₄	C₄×Dic₁₉	1	1	yes	characteristic
39	C₂	—	2	1	no	—
40	C₂	#10597272	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.