Subgroups — C₁₃×C₁₉×#157 #22580375

Order 8892.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₃⋊D₃×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₁₃×C₁₉	C₄	1	1	yes	characteristic, complemented, Hall
3	D₃×C₁₃×C₁₉	—	6	2	no	—
4	C₄×C₁₃×C₁₉	—	9	1	no	maximal, Hall
5	C₃×C₁₃×C₁₉	—	2	2	no	—
6	C₁₉×#157	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₂×C₁₃×C₁₉	—	9	1	no	—
8	C₁₃×#157	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₃⋊D₃×C₁₉	C₂×C₁₃	1	1	yes	characteristic
10	C₁₃×C₁₉	#157	1	1	yes	characteristic, direct product factor, Hall
11	C₁₃×C₃⋊D₃	C₂×C₁₉	1	1	yes	characteristic
12	C₃²×C₁₉	C₄×C₁₃	1	1	yes	characteristic, complemented, Hall
13	C₃²×C₁₃	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
14	D₃×C₁₉	—	6	2	no	—
15	D₃×C₁₃	—	6	2	no	—
16	C₄×C₁₉	—	9	1	no	Hall
17	C₃×C₁₉	—	2	2	no	—
18	C₄×C₁₃	—	9	1	no	Hall
19	C₃×C₁₃	—	2	2	no	—
20	C₂×C₁₉	—	9	1	no	—
21	#157	C₁₃×C₁₉	1	1	yes	characteristic, direct product factor, Hall
22	C₂×C₁₃	—	9	1	no	—
23	C₁₉	C₁₃×#157	1	1	yes	characteristic, direct product factor, Sylow
24	C₃⋊D₃	C₂×C₁₃×C₁₉	1	1	yes	characteristic
25	C₁₃	C₁₉×#157	1	1	yes	characteristic, direct product factor, Sylow
26	C₃²	C₄×C₁₃×C₁₉	1	1	yes	characteristic, complemented, Sylow
27	D₃	—	6	2	no	—
28	C₄	—	9	1	no	Sylow
29	C₃	—	2	2	no	—
30	C₂	—	9	1	no	—

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