Subgroups — C₃×#22579562 #40997161

Order 26508.

108 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₄₇⋊D₄₇	C₂	1	1	yes	maximal, characteristic
2	#22579562	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₄₇²	C₄	1	1	yes	characteristic, complemented, Hall
4	C₄₇⋊D₄₇	C₂×C₃	1	1	yes	characteristic
5	C₄₇²	C₃×C₄	1	1	yes	characteristic, complemented, Sylow
6	C₃×D₄₇	—	94	24	no	—
7	C₃×C₄₇	—	2	24	no	—
8	D₄₇	—	94	24	no	—
9	C₄₇	—	2	24	no	—
10	C₃×C₄	—	2209	1	no	maximal, Hall
11	C₂×C₃	—	2209	1	no	—
12	C₄	—	2209	1	no	Sylow
13	C₃	#22579562	1	1	yes	characteristic, direct product factor, Sylow
14	C₂	—	2209	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.