Subgroups — C₂×#10588039 #11765639

Order 1134.

52 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10588039	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₃×C₇×C₉	C₃	1	1	yes	maximal, characteristic
3	C₂×#4430	C₃	1	3	yes	maximal
4	C₃×C₇×C₉	C₂×C₃	1	1	yes	characteristic
5	#4430	C₂×C₃	1	3	yes	—
6	C₂×#733	—	7	1	no	maximal, Hall
7	C₂×C₃²×C₇	C₃²	1	1	yes	characteristic
8	C₂×C₇×C₉	—	3	1	no	—
9	C₂×C₇⋊C₉	—	3	3	no	—
10	#733	—	7	1	no	Sylow
11	C₃²×C₇	C₂×C₃²	1	1	yes	characteristic
12	C₇×C₉	—	3	1	no	—
13	C₇⋊C₉	—	3	3	no	—
14	C₂×3₋¹⁺²	—	7	3	no	—
15	C₂×C₃×C₉	ΓL(1,𝔽₈)	1	1	yes	characteristic
16	C₂×C₃×C₇	—	3	1	no	—
17	C₂×C₃×C₇	H(3,𝔽₃)	1	1	yes	characteristic
18	3₋¹⁺²	—	7	3	no	—
19	C₃×C₉	C₂×ΓL(1,𝔽₈)	1	1	yes	characteristic
20	C₃×C₇	—	3	1	no	—
21	C₃×C₇	C₂×H(3,𝔽₃)	1	1	yes	characteristic
22	C₂×C₃²	C₃×ΓL(1,𝔽₈)	1	1	yes	characteristic
23	C₂×C₉	—	3	1	no	—
24	C₂×C₉	—	21	3	no	—
25	C₂×C₇	#733	1	1	yes	characteristic, complemented, Hall
26	C₃²	C₂×C₃×ΓL(1,𝔽₈)	1	1	yes	characteristic
27	C₉	—	3	1	no	—
28	C₉	—	21	3	no	—
29	C₇	C₂×#733	1	1	yes	characteristic, complemented, Sylow
30	C₂×C₃	—	3	1	no	—
31	C₂×C₃	C₇⋊H(3,𝔽₃)	1	1	yes	characteristic
32	C₃	—	3	1	no	—
33	C₃	C₂×C₇⋊H(3,𝔽₃)	1	1	yes	characteristic
34	C₂	#10588039	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.