Subgroups — C₄×#22551923 #45683183

Order 33056.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#22551923	C₂	1	2	yes	maximal
2	C₄×Dic₁₀₃₃	C₂	1	1	yes	maximal, characteristic
3	#22551923	C₄	1	4	yes	direct product factor
4	C₂×Dic₁₀₃₃	C₄	1	1	yes	characteristic
5	C₂×Dic₁₀₃₃	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₁₀₃₃	C₄	1	1	yes	characteristic
7	C₂²×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₀₃₃	C₈	1	2	yes	complemented
9	Dic₁₀₃₃	C₈	1	2	yes	complemented
10	Dic₁₀₃₃	C₂×C₄	1	2	yes	—
11	C₂×C₁₀₃₃	C₄²	1	1	yes	characteristic
12	C₂×C₁₀₃₃	C₂×C₈	1	1	yes	characteristic
13	C₂×C₁₀₃₃	C₂×C₈	1	1	yes	characteristic
14	C₁₀₃₃	C₄×C₈	1	1	yes	characteristic, complemented, Sylow
15	C₄×C₈	—	1033	1	no	maximal, Sylow
16	C₂×C₈	—	1033	2	no	—
17	C₄²	—	1033	1	no	—
18	C₂×C₄	—	1033	1	no	—
19	C₂×C₄	—	1033	1	no	—
20	C₂×C₄	#16861757	1	1	yes	characteristic
21	C₈	—	1033	4	no	—
22	C₂²	C₂×#16861757	1	1	yes	characteristic
23	C₄	—	1033	2	no	—
24	C₄	—	1033	2	no	—
25	C₄	#22551923	1	2	yes	direct product factor
26	C₂	C₄×#16861757	1	1	yes	characteristic
27	C₂	C₂×#22551923	1	1	yes	characteristic
28	C₂	#30658333	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.