Subgroups — #28476604

Order 15104.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₁₈₈₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉⋊C₁₂₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×D₆₄	C₂	1	1	yes	maximal, characteristic
4	Dic₉₄₄	—	2	1	no	—
5	C₅₉×D₃₂	—	2	1	no	—
6	C₅₉×C₆₄	C₂²	1	1	yes	characteristic
7	Dic₄₇₂	—	4	1	no	—
8	D₁₆×C₅₉	—	4	1	no	—
9	C₃₂×C₅₉	D₄	1	1	yes	characteristic
10	D₈×C₅₉	—	8	1	no	—
11	Dic₂₃₆	—	8	1	no	—
12	C₁₆×C₅₉	D₈	1	1	yes	characteristic
13	D₄×C₅₉	—	16	1	no	—
14	Dic₁₁₈	—	16	1	no	—
15	C₈×C₅₉	D₁₆	1	1	yes	characteristic
16	SD₂₅₆	—	59	1	no	maximal, Sylow
17	C₂²×C₅₉	—	32	1	no	—
18	C₄×C₅₉	D₃₂	1	1	yes	characteristic
19	Dic₅₉	—	32	1	no	—
20	Q₁₂₈	—	59	1	no	—
21	D₆₄	D₅₉	1	1	yes	characteristic
22	C₁₂₈	—	59	1	no	—
23	C₂×C₅₉	—	64	1	no	—
24	C₂×C₅₉	D₆₄	1	1	yes	characteristic
25	Q₆₄	—	118	1	no	—
26	D₃₂	—	2	1	no	—
27	C₆₄	C₂×D₅₉	1	1	yes	characteristic
28	C₅₉	SD₂₅₆	1	1	yes	characteristic, complemented, Sylow
29	Q₃₂	—	236	1	no	—
30	D₁₆	—	4	1	no	—
31	C₃₂	C₂²⋊D₅₉	1	1	yes	characteristic
32	Q₁₆	—	472	1	no	—
33	D₈	—	8	1	no	—
34	C₁₆	#11745669	1	1	yes	characteristic
35	Q₈	—	944	1	no	—
36	D₄	—	16	1	no	—
37	C₈	#14273668	1	1	yes	characteristic
38	C₂²	—	32	1	no	—
39	C₄	—	1888	1	no	—
40	C₄	#16837237	1	1	yes	characteristic
41	C₂	—	64	1	no	—
42	C₂	#21422308	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.