Subgroups — C₉×#3926 #13083685

Order 1440.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₉×C₁₆	C₂	1	1	yes	maximal, characteristic
2	C₃×#3926	C₃	1	1	yes	maximal, characteristic
3	C₅×C₈×C₉	C₄	1	1	yes	characteristic
4	C₉×C₃₂	—	5	1	no	maximal, Hall
5	C₃×C₅×C₁₆	C₂×C₃	1	1	yes	characteristic
6	C₄×C₅×C₉	C₈	1	1	yes	characteristic
7	#3926	C₉	1	1	yes	characteristic, direct product factor, Hall
8	C₉×C₁₆	D₅	1	1	yes	characteristic
9	C₃×C₅×C₈	C₃×C₄	1	1	yes	characteristic
10	C₃×C₃₂	—	5	1	no	—
11	C₂×C₅×C₉	C₁₆	1	1	yes	characteristic
12	C₅×C₁₆	C₂×C₉	1	1	yes	characteristic
13	C₈×C₉	Dic₅	1	1	yes	characteristic
14	C₃×C₄×C₅	C₃×C₈	1	1	yes	characteristic
15	C₃×C₁₆	C₃×D₅	1	1	yes	characteristic
16	C₅×C₉	C₃₂	1	1	yes	characteristic, complemented, Hall
17	C₅×C₈	C₄×C₉	1	1	yes	characteristic
18	C₄×C₉	#168	1	1	yes	characteristic
19	C₃₂	—	5	1	no	Sylow
20	C₂×C₃×C₅	C₃×C₁₆	1	1	yes	characteristic
21	C₃×C₈	C₃×Dic₅	1	1	yes	characteristic
22	C₄×C₅	C₈×C₉	1	1	yes	characteristic
23	C₂×C₉	#672	1	1	yes	characteristic
24	C₁₆	C₉×D₅	1	1	yes	characteristic
25	C₃×C₅	C₃×C₃₂	1	1	yes	characteristic
26	C₃×C₄	C₃×#168	1	1	yes	characteristic
27	C₂×C₅	C₉×C₁₆	1	1	yes	characteristic
28	C₉	#3926	1	1	yes	characteristic, direct product factor, Sylow
29	C₈	C₉×Dic₅	1	1	yes	characteristic
30	C₂×C₃	C₃×#672	1	1	yes	characteristic
31	C₅	C₉×C₃₂	1	1	yes	characteristic, complemented, Sylow
32	C₄	C₉×#168	1	1	yes	characteristic
33	C₃	C₃×#3926	1	1	yes	characteristic
34	C₂	C₉×#672	1	1	yes	characteristic

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.