Subgroups — C₂×C₇×#10620323 #22604113

Order 9198.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#10620323	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₇×C₇₃⋊C₃	C₃	1	1	yes	maximal, characteristic
3	C₇×C₇₃⋊C₃	C₂×C₃	1	1	yes	characteristic
4	C₂×#10620323	C₇	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₂×C₇×C₇₃	C₉	1	1	yes	characteristic, complemented, Hall
6	#10620323	C₂×C₇	1	1	yes	characteristic, direct product factor, Hall
7	C₇×C₇₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
8	C₂×C₇₃⋊C₃	C₃×C₇	1	1	yes	characteristic
9	C₇₃⋊C₃	C₂×C₃×C₇	1	1	yes	characteristic
10	C₂×C₇₃	C₇×C₉	1	1	yes	characteristic, complemented, Hall
11	C₂×C₇×C₉	—	73	1	no	maximal, Hall
12	C₇₃	C₂×C₇×C₉	1	1	yes	characteristic, complemented, Sylow
13	C₇×C₉	—	73	1	no	Hall
14	C₂×C₃×C₇	—	73	1	no	—
15	C₃×C₇	—	73	1	no	—
16	C₂×C₉	—	73	1	no	Hall
17	C₂×C₇	#10620323	1	1	yes	characteristic, direct product factor, Hall
18	C₉	—	73	1	no	Sylow
19	C₇	C₂×#10620323	1	1	yes	characteristic, direct product factor, Sylow
20	C₂×C₃	—	73	1	no	—
21	C₃	—	73	1	no	—
22	C₂	C₇×#10620323	1	1	yes	characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.