Subgroups — #14272070

Order 1856.

70 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11745237	C₂	1	1	yes	maximal, characteristic
2	#11745215	C₂	1	2	yes	maximal
3	C₂×D₁₁₆	C₂²	1	1	yes	characteristic
4	C₂×Dic₅₈	C₄	1	1	yes	characteristic, complemented
5	C₂²⋊#1181	—	2	2	no	—
6	C₄²×C₂₉	C₄	1	1	yes	characteristic, complemented
7	#90781	—	2	2	no	—
8	C₂²×D₂₉	D₄	1	2	yes	—
9	C₂×#1181	—	4	2	no	—
10	C₂×C₄×C₂₉	—	2	1	no	—
11	C₂×C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
12	C₂×Dic₂₉	—	2	1	no	—
13	D₁₁₆	—	4	1	no	—
14	Dic₅₈	—	4	1	no	—
15	C₂²×C₂₉	C₂²⋊C₄	1	1	yes	characteristic
16	C₂×D₂₉	—	2	2	no	—
17	C₂×D₂₉	—	4	2	no	—
18	#1181	—	8	2	no	—
19	C₄×C₂₉	—	2	1	no	—
20	C₄×C₂₉	—	4	1	no	—
21	Dic₂₉	—	4	1	no	—
22	#354	—	29	1	no	maximal, Sylow
23	C₂×C₂₉	—	2	1	no	—
24	C₂×C₂₉	#99	1	1	yes	characteristic
25	D₂₉	—	4	2	no	—
26	#124	—	29	1	no	—
27	#99	—	29	2	no	—
28	C₂₉	#354	1	1	yes	characteristic, complemented, Sylow
29	C₂×Q₈	—	29	1	no	—
30	C₂×D₄	—	29	1	no	—
31	C₂²⋊C₄	—	58	2	no	—
32	C₂²⋊C₄	—	58	2	no	—
33	C₄²	#1181	1	1	yes	characteristic, complemented
34	C₂³	—	29	2	no	—
35	Q₈	—	116	1	no	—
36	D₄	—	116	1	no	—
37	C₂×C₄	—	2	1	no	—
38	C₂×C₄	—	58	1	no	—
39	C₂×C₄	—	116	2	no	—
40	C₂×C₄	C₂×#1181	1	1	yes	characteristic
41	C₂²	—	58	2	no	—
42	C₂²	—	116	2	no	—
43	C₂²	C₂²⋊#1181	1	1	yes	characteristic
44	C₄	—	2	1	no	—
45	C₄	—	4	1	no	—
46	C₄	—	116	1	no	—
47	C₄	—	232	2	no	—
48	C₂	—	2	1	no	—
49	C₂	—	116	2	no	—
50	C₂	#11745215	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.