Subgroups — #14272088

Order 1856.

42 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11745211	C₂	1	1	yes	maximal, characteristic
2	#11745209	C₂	1	1	yes	maximal, characteristic
3	#11745146	C₂	1	1	yes	maximal, characteristic
4	C₄⋊#1181	—	2	1	no	—
5	#90796	—	2	1	no	—
6	C₈×D₂₉	C₂²	1	1	yes	characteristic
7	C₁₆×C₂₉	C₄	1	1	yes	characteristic, complemented
8	#90768	C₄	1	1	yes	characteristic, complemented
9	C₂×#1181	—	4	1	no	—
10	C₄×D₂₉	D₄	1	1	yes	characteristic
11	#6599	—	4	1	no	—
12	C₈×C₂₉	C₂×C₄	1	1	yes	characteristic
13	#6597	Q₈	1	1	yes	characteristic
14	C₂×D₂₉	SD₁₆	1	1	yes	characteristic
15	#1181	—	8	1	no	—
16	C₄×C₂₉	C₄⋊C₄	1	1	yes	characteristic
17	Dic₂₉	SD₁₆	1	1	yes	characteristic
18	#365	—	29	1	no	maximal, Sylow
19	C₂×C₂₉	#106	1	1	yes	characteristic
20	D₂₉	—	2	1	no	—
21	M₃₂	—	29	1	no	—
22	#108	—	29	1	no	—
23	#106	—	29	1	no	—
24	C₂₉	#365	1	1	yes	characteristic, complemented, Sylow
25	M₁₆	—	58	1	no	—
26	C₂×C₈	—	29	1	no	—
27	C₄⋊C₄	—	58	1	no	—
28	C₁₆	—	29	1	no	—
29	C₁₆	#1181	1	1	yes	characteristic, complemented
30	C₂×C₄	—	29	1	no	—
31	C₂×C₄	—	116	1	no	—
32	C₈	—	29	1	no	—
33	C₈	—	116	1	no	—
34	C₈	C₂×#1181	1	1	yes	characteristic
35	C₂²	—	29	1	no	—
36	C₄	—	29	1	no	—
37	C₄	—	232	1	no	—
38	C₄	C₄⋊#1181	1	1	yes	characteristic
39	C₂	—	58	1	no	—
40	C₂	#11745209	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.