Subgroups — #28407871

Order 14464.

106 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20299729	C₂	1	3	yes	maximal, complemented
2	#20299727	C₂	1	3	yes	maximal, complemented
3	#20299720	C₂	1	1	yes	maximal, characteristic
4	#16813721	C₂²	1	1	yes	characteristic
5	#16813721	C₂²	1	3	yes	—
6	#16813719	C₄	1	3	yes	—
7	#16813717	C₂²	1	3	yes	—
8	#16813710	C₄	1	1	yes	characteristic
9	#14268659	C₂×C₄	1	3	yes	—
10	#14268659	C₂³	1	1	yes	characteristic
11	#14268657	C₈	1	3	yes	—
12	#14268655	C₂×C₄	1	3	yes	—
13	#14268648	C₈	1	1	yes	characteristic
14	Q₈×C₁₁₃	C₁₆	1	1	yes	characteristic
15	D₄₅₂	C₁₆	1	3	yes	—
16	C₄×D₁₁₃	C₂×C₈	1	3	yes	—
17	#11744753	C₂×C₈	1	3	yes	—
18	#11744753	C₂²×C₄	1	1	yes	characteristic
19	C₂×D₁₁₃	C₂×C₁₆	1	3	yes	—
20	C₄×C₁₁₃	C₂×C₁₆	1	3	yes	—
21	Dic₁₁₃	C₂²×C₈	1	1	yes	characteristic
22	C₂×C₁₁₃	C₂²×C₁₆	1	1	yes	characteristic
23	D₁₁₃	—	2	3	no	—
24	#2258	—	113	1	no	maximal, Sylow
25	C₁₁₃	#2258	1	1	yes	characteristic, complemented, Sylow
26	#504	—	113	1	no	—
27	M₆₄	—	113	3	no	—
28	C₂×C₃₂	—	113	3	no	—
29	#131	—	113	1	no	—
30	M₃₂	—	113	3	no	—
31	C₂×C₁₆	—	113	3	no	—
32	C₃₂	—	113	1	no	—
33	C₃₂	—	113	3	no	—
34	#41	—	113	1	no	—
35	M₁₆	—	113	3	no	—
36	C₂×C₈	—	113	3	no	—
37	C₁₆	—	113	1	no	—
38	C₁₆	—	113	3	no	—
39	Q₈	#14268661	1	1	yes	characteristic
40	D₄	—	113	3	no	—
41	C₂×C₄	—	113	3	no	—
42	C₈	—	113	1	no	—
43	C₈	—	113	3	no	—
44	C₂²	—	113	3	no	—
45	C₄	—	113	1	no	—
46	C₄	C₂×#14268661	1	3	yes	—
47	C₂	—	226	3	no	—
48	C₂	C₂²×#14268661	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.