Subgroups — C₂×#30658300 #45683068

Order 33056.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#30658300	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₈×C₁₀₃₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₁₀₃₃	C₄	1	1	yes	characteristic
4	C₈×C₁₀₃₃	C₄	1	1	yes	characteristic
5	C₈×C₁₀₃₃	C₂²	1	1	yes	characteristic
6	C₂²×C₁₀₃₃	C₈	1	1	yes	characteristic
7	C₄×C₁₀₃₃	C₈	1	1	yes	characteristic
8	C₄×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
9	C₂×C₁₀₃₃	C₁₆	1	2	yes	complemented
10	C₂×C₁₀₃₃	C₂×C₈	1	1	yes	characteristic
11	C₁₀₃₃	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	1033	1	no	maximal, Sylow
13	C₂×C₈	D₁₀₃₃	1	1	yes	characteristic
14	C₁₆	—	1033	2	no	—
15	C₂×C₄	Dic₁₀₃₃	1	1	yes	characteristic
16	C₈	Dic₁₀₃₃	1	1	yes	characteristic
17	C₈	C₂×D₁₀₃₃	1	1	yes	characteristic
18	C₂²	#22551916	1	1	yes	characteristic
19	C₄	#22551916	1	1	yes	characteristic
20	C₄	C₂×Dic₁₀₃₃	1	1	yes	characteristic
21	C₂	#30658300	1	2	yes	direct product factor
22	C₂	C₂×#22551916	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.