Subgroups — C₃²×C₈×C₁₃ #11745461

Order 936.

48 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×C₄×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₃×C₈×C₁₃	C₃	1	4	yes	maximal, direct product factor
3	C₂×C₃²×C₁₃	C₄	1	1	yes	characteristic
4	C₃×C₄×C₁₃	C₂×C₃	1	4	yes	—
5	C₃²×C₁₃	C₈	1	1	yes	characteristic, direct product factor, Hall
6	C₈×C₁₃	C₃²	1	1	yes	characteristic, direct product factor, Hall
7	C₂×C₃×C₁₃	C₃×C₄	1	4	yes	—
8	C₃²×C₈	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₄×C₁₃	C₂×C₃²	1	1	yes	characteristic
10	C₃×C₁₃	C₃×C₈	1	4	yes	direct product factor
11	C₃²×C₄	C₂×C₁₃	1	1	yes	characteristic
12	C₂×C₁₃	C₃²×C₄	1	1	yes	characteristic
13	C₃×C₈	C₃×C₁₃	1	4	yes	direct product factor
14	C₂×C₃²	C₄×C₁₃	1	1	yes	characteristic
15	C₁₃	C₃²×C₈	1	1	yes	characteristic, direct product factor, Sylow
16	C₃×C₄	C₂×C₃×C₁₃	1	4	yes	—
17	C₃²	C₈×C₁₃	1	1	yes	characteristic, direct product factor, Sylow
18	C₈	C₃²×C₁₃	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₃	C₃×C₄×C₁₃	1	4	yes	—
20	C₄	C₂×C₃²×C₁₃	1	1	yes	characteristic
21	C₃	C₃×C₈×C₁₃	1	4	yes	direct product factor
22	C₂	C₃²×C₄×C₁₃	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.