Subgroups — #13113038

Order 1664.

56 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×C₃₂	C₂	1	1	yes	maximal, characteristic
2	#11718096	C₂	1	2	yes	maximal
3	C₂×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
4	#88058	—	2	2	no	—
5	C₁₃×C₃₂	C₄	1	2	yes	complemented
6	C₂×C₈×C₁₃	D₄	1	1	yes	characteristic
7	C₄⋊Dic₁₃	—	4	2	no	—
8	C₁₃×C₁₆	C₂×C₄	1	1	yes	characteristic
9	C₁₃×C₁₆	Q₈	1	1	yes	characteristic
10	#1424	—	13	1	no	maximal, Sylow
11	C₂×C₄×C₁₃	D₈	1	1	yes	characteristic
12	C₂×Dic₁₃	—	8	2	no	—
13	C₈×C₁₃	C₄⋊C₄	1	1	yes	characteristic
14	C₈×C₁₃	Q₁₆	1	1	yes	characteristic
15	C₂×C₃₂	D₁₃	1	1	yes	characteristic
16	#366	—	13	2	no	—
17	C₂²×C₁₃	D₁₆	1	1	yes	characteristic
18	C₄×C₁₃	#107	1	1	yes	characteristic
19	C₄×C₁₃	Q₃₂	1	1	yes	characteristic
20	Dic₁₃	—	16	2	no	—
21	C₂×C₁₆	C₂×D₁₃	1	1	yes	characteristic
22	#107	—	26	2	no	—
23	C₃₂	Dic₁₃	1	2	yes	complemented
24	C₂×C₁₃	#366	1	1	yes	characteristic
25	C₂×C₁₃	SD₆₄	1	2	yes	—
26	C₂×C₈	D₅₂	1	1	yes	characteristic
27	C₄⋊C₄	—	52	2	no	—
28	C₁₆	Dic₂₆	1	1	yes	characteristic
29	C₁₆	C₂×Dic₁₃	1	1	yes	characteristic
30	C₁₃	#1424	1	1	yes	characteristic, complemented, Sylow
31	C₂×C₄	—	104	2	no	—
32	C₂×C₄	D₁₀₄	1	1	yes	characteristic
33	C₈	Dic₅₂	1	1	yes	characteristic
34	C₈	C₄⋊Dic₁₃	1	1	yes	characteristic
35	C₂²	D₂₀₈	1	1	yes	characteristic
36	C₄	—	208	2	no	—
37	C₄	Dic₁₀₄	1	1	yes	characteristic
38	C₄	#88058	1	1	yes	characteristic
39	C₂	#11718041	1	2	yes	—
40	C₂	#11718096	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.