Subgroups — #11744893

Order 912.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic
2	Dic₁₁₄	C₂	1	1	yes	maximal, characteristic
3	C₃⋊(C₁₉⋊C₈)	C₂	1	1	yes	maximal, characteristic
4	#64528	—	3	1	no	maximal, Hall
5	C₃×C₄×C₁₉	—	2	1	no	—
6	C₃×C₄×C₁₉	C₂²	1	1	yes	characteristic
7	Dic₅₇	—	2	1	no	—
8	Q₈×C₁₉	D₃	1	1	yes	characteristic
9	Dic₃₈	—	3	1	no	—
10	C₁₉⋊C₈	—	3	1	no	—
11	C₂×C₃×C₁₉	D₄	1	1	yes	characteristic
12	C₄×C₁₉	—	2	1	no	—
13	C₄×C₁₉	C₂×D₃	1	1	yes	characteristic
14	Dic₁₉	—	6	1	no	—
15	C₃×C₁₉	Q₁₆	1	1	yes	characteristic, complemented, Hall
16	#216	—	19	1	no	maximal, Hall
17	C₂×C₁₉	#67	1	1	yes	characteristic
18	C₃×Q₈	D₁₉	1	1	yes	characteristic
19	Dic₆	—	19	1	no	—
20	C₃⋊C₈	—	19	1	no	—
21	C₁₉	#216	1	1	yes	characteristic, complemented, Sylow
22	Q₁₆	—	57	1	no	Sylow
23	C₃×C₄	—	2	1	no	—
24	C₃×C₄	C₂×D₁₉	1	1	yes	characteristic
25	Dic₃	—	38	1	no	—
26	Q₈	—	57	1	no	—
27	Q₈	D₅₇	1	1	yes	characteristic
28	C₈	—	57	1	no	—
29	C₂×C₃	C₂²⋊D₁₉	1	1	yes	characteristic
30	C₄	—	2	1	no	—
31	C₄	—	114	1	no	—
32	C₄	C₂×D₅₇	1	1	yes	characteristic
33	C₃	#64528	1	1	yes	characteristic, complemented, Sylow
34	C₂	#90718	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.