Subgroups — C₁₆×C₁₀₁₃ #30633775

Order 16208.

10 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×C₁₀₁₃	C₂	1	1	yes	maximal, characteristic
2	C₄×C₁₀₁₃	C₄	1	1	yes	characteristic
3	C₂×C₁₀₁₃	C₈	1	1	yes	characteristic
4	C₁₀₁₃	C₁₆	1	1	yes	characteristic, direct product factor, Sylow
5	C₁₆	C₁₀₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
6	C₈	C₂×C₁₀₁₃	1	1	yes	characteristic
7	C₄	C₄×C₁₀₁₃	1	1	yes	characteristic
8	C₂	C₈×C₁₀₁₃	1	1	yes	characteristic

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

N	H ≅ G/N	type
4. C₁₀₁₃	C₁₆	direct (N × H)
5. C₁₆	C₁₀₁₃	direct (N × H)

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

subgroup	index
C₈×C₁₀₁₃	2
C₁₆	1013