Subgroups — #1181×C₁₆₉ #34086708

Order 19604.

18 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₂₉×C₁₆₉	C₂	1	1	yes	maximal, characteristic
2	C₂₉×C₁₆₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₃×#1181	C₁₃	1	1	yes	maximal, characteristic
4	C₁₃×D₂₉	C₂×C₁₃	1	1	yes	characteristic
5	C₄×C₁₆₉	—	29	1	no	maximal, Hall
6	C₁₃×C₂₉	C₄×C₁₃	1	1	yes	characteristic
7	C₂×C₁₆₉	—	29	1	no	—
8	C₁₆₉	#1181	1	1	yes	characteristic, direct product factor, Sylow
9	#1181	C₁₆₉	1	1	yes	characteristic, direct product factor, Hall
10	D₂₉	C₂×C₁₆₉	1	1	yes	characteristic
11	C₄×C₁₃	—	29	1	no	—
12	C₂₉	C₄×C₁₆₉	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₁₃	—	29	1	no	—
14	C₁₃	C₁₃×#1181	1	1	yes	characteristic
15	C₄	—	29	1	no	Sylow
16	C₂	—	29	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.