Subgroups — C₁₉×#365 #11926041

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	C₁₉×#108	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#106	C₂	1	1	yes	maximal, characteristic
4	M₁₆×C₁₉	—	2	1	no	—
5	C₂×C₈×C₁₉	C₂²	1	1	yes	characteristic
6	C₄⋊C₄×C₁₉	—	2	1	no	—
7	C₁₆×C₁₉	C₄	1	2	yes	complemented
8	C₂×C₄×C₁₉	—	4	1	no	—
9	C₂×C₄×C₁₉	D₄	1	1	yes	characteristic
10	C₈×C₁₉	—	4	1	no	—
11	C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
12	C₈×C₁₉	Q₈	1	1	yes	characteristic
13	C₂²×C₁₉	SD₁₆	1	1	yes	characteristic
14	C₄×C₁₉	—	8	1	no	—
15	C₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
16	C₄×C₁₉	SD₁₆	1	1	yes	characteristic
17	#365	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
18	C₂×C₁₉	—	2	1	no	—
19	C₂×C₁₉	#106	1	1	yes	characteristic
20	M₃₂	C₂×C₁₉	1	1	yes	characteristic
21	#108	C₂×C₁₉	1	1	yes	characteristic
22	#106	C₂×C₁₉	1	1	yes	characteristic
23	C₁₉	#365	1	1	yes	characteristic, direct product factor, Sylow
24	M₁₆	—	2	1	no	—
25	C₂×C₈	C₂²×C₁₉	1	1	yes	characteristic
26	C₄⋊C₄	—	2	1	no	—
27	C₁₆	C₄×C₁₉	1	2	yes	complemented
28	C₂×C₄	—	4	1	no	—
29	C₂×C₄	D₄×C₁₉	1	1	yes	characteristic
30	C₈	—	4	1	no	—
31	C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
32	C₈	Q₈×C₁₉	1	1	yes	characteristic
33	C₂²	SD₁₆×C₁₉	1	1	yes	characteristic
34	C₄	—	8	1	no	—
35	C₄	C₄⋊C₄×C₁₉	1	1	yes	characteristic
36	C₄	SD₁₆×C₁₉	1	1	yes	characteristic
37	C₂	—	2	1	no	—
38	C₂	C₁₉×#106	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.