Subgroups — C₁₃×#10620321⋊C₂ #30685151

Order 17082.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#10620321	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×C₁₃×D₇₃	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₃×C₇₃	C₂×C₃	1	1	yes	characteristic
4	C₁₃×D₇₃	C₉	1	1	yes	characteristic, complemented, Hall
5	#10620321⋊C₂	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₃×C₇₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	#10620321	C₂×C₁₃	1	1	yes	characteristic, complemented, Hall
8	C₃×D₇₃	C₃×C₁₃	1	1	yes	characteristic
9	C₂×C₉×C₁₃	—	73	1	no	maximal, Hall
10	C₃×C₇₃	C₂×C₃×C₁₃	1	1	yes	characteristic
11	D₇₃	C₉×C₁₃	1	1	yes	characteristic, complemented, Hall
12	C₉×C₁₃	—	73	1	no	Hall
13	C₂×C₃×C₁₃	—	73	1	no	—
14	C₇₃	C₂×C₉×C₁₃	1	1	yes	characteristic, complemented, Sylow
15	C₃×C₁₃	D₇₃⋊C₃	1	1	yes	characteristic
16	C₂×C₁₃	—	73	1	no	Hall
17	C₂×C₉	—	73	1	no	Hall
18	C₁₃	#10620321⋊C₂	1	1	yes	characteristic, direct product factor, Sylow
19	C₉	—	73	1	no	Sylow
20	C₂×C₃	—	73	1	no	—
21	C₃	C₁₃×D₇₃⋊C₃	1	1	yes	characteristic
22	C₂	—	73	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.