Subgroups — C₄×#1057 #88108

Order 416.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#1057	C₂	1	2	yes	maximal
2	C₄×Dic₁₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₁₃	C₄	1	1	yes	characteristic
4	C₂×Dic₁₃	C₄	1	1	yes	characteristic
5	C₂×Dic₁₃	C₂²	1	1	yes	characteristic
6	#1057	C₄	1	4	yes	direct product factor
7	C₂²×C₁₃	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₃	C₈	1	2	yes	complemented
9	Dic₁₃	C₈	1	2	yes	complemented
10	Dic₁₃	C₂×C₄	1	2	yes	—
11	C₄×C₈	—	13	1	no	maximal, Sylow
12	C₂×C₁₃	C₄²	1	1	yes	characteristic
13	C₂×C₁₃	C₂×C₈	1	1	yes	characteristic
14	C₂×C₁₃	C₂×C₈	1	1	yes	characteristic
15	C₂×C₈	—	13	2	no	—
16	C₄²	—	13	1	no	—
17	C₁₃	C₄×C₈	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₄	—	13	1	no	—
19	C₂×C₄	—	13	1	no	—
20	C₂×C₄	#261	1	1	yes	characteristic
21	C₈	—	13	4	no	—
22	C₂²	C₂×#261	1	1	yes	characteristic
23	C₄	—	13	2	no	—
24	C₄	—	13	2	no	—
25	C₄	#1057	1	2	yes	direct product factor
26	C₂	D₁₃⋊C₈	1	1	yes	characteristic
27	C₂	C₄×#261	1	1	yes	characteristic
28	C₂	C₂×#1057	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.