Subgroups — #13129999

Order 1664.

50 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11718223	C₂	1	2	yes	maximal
2	D₁₃×C₃₂	C₂	1	1	yes	maximal, characteristic
3	#88104	—	2	2	no	—
4	C₁₆×D₁₃	C₂²	1	1	yes	characteristic
5	C₁₃×C₃₂	C₄	1	1	yes	characteristic
6	#88034	C₄	1	1	yes	characteristic
7	#6118	—	4	2	no	—
8	C₈×D₁₃	D₄	1	1	yes	characteristic
9	C₁₃×C₁₆	C₂×C₄	1	1	yes	characteristic
10	#6090	Q₈	1	1	yes	characteristic
11	#1425	—	13	1	no	maximal, Sylow
12	C₄×D₁₃	D₈	1	1	yes	characteristic
13	#1057	—	8	2	no	—
14	C₈×C₁₃	C₄⋊C₄	1	1	yes	characteristic
15	#1055	Q₁₆	1	1	yes	characteristic
16	C₂×C₃₂	—	13	1	no	—
17	#368	—	13	2	no	—
18	C₂×D₁₃	Q₃₂	1	1	yes	characteristic
19	C₄×C₁₃	#107	1	1	yes	characteristic
20	Dic₁₃	D₁₆	1	1	yes	characteristic
21	C₂×C₁₆	—	13	1	no	—
22	#108	—	26	2	no	—
23	C₃₂	—	13	1	no	—
24	C₃₂	#261	1	1	yes	characteristic
25	C₂×C₁₃	#366	1	1	yes	characteristic
26	D₁₃	—	2	1	no	—
27	M₁₆	—	52	2	no	—
28	C₂×C₈	—	13	1	no	—
29	C₁₆	—	13	1	no	—
30	C₁₆	C₂×#261	1	1	yes	characteristic
31	C₁₃	#1425	1	1	yes	characteristic, complemented, Sylow
32	C₂×C₄	—	13	1	no	—
33	C₈	—	13	1	no	—
34	C₈	—	104	2	no	—
35	C₈	C₄⋊#261	1	1	yes	characteristic
36	C₂²	—	13	1	no	—
37	C₄	—	13	1	no	—
38	C₄	#88102	1	1	yes	characteristic
39	C₂	—	26	1	no	—
40	C₂	#11718221	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
31. C₁₃	#1425	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.