Subgroups — C₂×#22555440 #30685178

Order 17082.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22555440	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₁₃×C₇₃⋊C₃	C₃	1	1	yes	maximal, characteristic
3	C₁₃×C₇₃⋊C₃	C₂×C₃	1	1	yes	characteristic
4	C₂×C₁₃×C₇₃	C₉	1	1	yes	characteristic, complemented, Hall
5	C₂×#10620323	—	13	1	no	maximal, Hall
6	C₁₃×C₇₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	#10620323	—	13	1	no	Hall
8	C₂×C₇₃⋊C₃	C₁₃⋊C₃	1	1	yes	characteristic
9	C₂×C₁₃⋊C₉	—	73	1	no	maximal, Hall
10	C₇₃⋊C₃	C₂×C₁₃⋊C₃	1	1	yes	characteristic
11	C₂×C₇₃	C₁₃⋊C₉	1	1	yes	characteristic, complemented, Hall
12	C₁₃⋊C₉	—	73	1	no	Hall
13	C₂×C₃×C₁₃	—	73	1	no	—
14	C₇₃	C₂×C₁₃⋊C₉	1	1	yes	characteristic, complemented, Sylow
15	C₃×C₁₃	—	73	1	no	—
16	C₂×C₁₃	#10620323	1	1	yes	characteristic, complemented, Hall
17	C₂×C₉	—	949	1	no	Hall
18	C₁₃	C₂×#10620323	1	1	yes	characteristic, complemented, Sylow
19	C₉	—	949	1	no	Sylow
20	C₂×C₃	—	73	1	no	—
21	C₃	—	73	1	no	—
22	C₂	#22555440	1	1	yes	characteristic, direct product factor, 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.