Subgroups — D₈₃×C₁₆₉ #43242573

Order 28054.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×C₁₆₉	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₁₃×D₈₃	C₁₃	1	1	yes	maximal, characteristic
3	C₁₃×C₈₃	C₂×C₁₃	1	1	yes	characteristic
4	C₂×C₁₆₉	—	83	1	no	maximal, Hall
5	C₁₆₉	D₈₃	1	1	yes	characteristic, direct product factor, Sylow
6	D₈₃	C₁₆₉	1	1	yes	characteristic, direct product factor, Hall
7	C₈₃	C₂×C₁₆₉	1	1	yes	characteristic, complemented, Sylow
8	C₂×C₁₃	—	83	1	no	—
9	C₁₃	C₁₃×D₈₃	1	1	yes	characteristic
10	C₂	—	83	1	no	Sylow

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.