Subgroups — C₇₃×#89137 #44541353

Order 31828.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×D₁₀₉	C₂	1	1	yes	maximal, characteristic
2	C₇₃×C₁₀₉	C₄	1	1	yes	characteristic, complemented, Hall
3	#89137	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₄×C₇₃	—	109	1	no	maximal, Hall
5	D₁₀₉	C₂×C₇₃	1	1	yes	characteristic
6	C₂×C₇₃	—	109	1	no	—
7	C₁₀₉	C₄×C₇₃	1	1	yes	characteristic, complemented, Sylow
8	C₇₃	#89137	1	1	yes	characteristic, direct product factor, Sylow
9	C₄	—	109	1	no	Sylow
10	C₂	—	109	1	no	—

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.