Subgroups — C₁₉×#10596868 #26013857

Order 11172.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#3862	C₂	1	1	yes	maximal, characteristic
2	C₇×C₁₉×Dic₇	—	3	1	no	maximal, Hall
3	C₁₉×#3862	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₇²×C₁₉	D₃	1	1	yes	characteristic
5	C₇²×C₁₉	Dic₃	1	1	yes	characteristic, complemented, Hall
6	C₂×C₁₉×ΓL(1,𝔽₈)	—	14	1	no	—
7	#10596868	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₄×C₇×C₁₉	—	21	1	no	—
9	C₁₉×Dic₇	—	3	1	no	—
10	C₁₉×ΓL(1,𝔽₈)	—	14	1	no	—
11	C₂×#3862	C₂×C₁₉	1	1	yes	characteristic
12	C₂×C₇×C₁₉	—	2	1	no	—
13	C₂×C₇×C₁₉	—	3	1	no	—
14	C₂×C₇×C₁₉	—	3	1	no	—
15	Dic₃×C₁₉	—	49	1	no	maximal, Hall
16	C₇×Dic₇	—	3	1	no	Hall
17	#3862	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
18	C₇×C₁₉	—	2	1	no	—
19	C₇×C₁₉	—	3	1	no	—
20	C₇×C₁₉	—	3	1	no	—
21	C₂×C₃×C₁₉	—	49	1	no	—
22	C₂×C₇²	D₃×C₁₉	1	1	yes	characteristic
23	C₄×C₁₉	—	21	1	no	Hall
24	C₃×C₁₉	—	49	1	no	Hall
25	C₇²	Dic₃×C₁₉	1	1	yes	characteristic, complemented, Sylow
26	C₂×ΓL(1,𝔽₈)	—	14	1	no	—
27	C₂×C₁₉	#64418	1	1	yes	characteristic
28	C₄×C₇	—	21	1	no	—
29	Dic₇	—	3	1	no	—
30	ΓL(1,𝔽₈)	—	14	1	no	—
31	C₁₉	#10596868	1	1	yes	characteristic, direct product factor, Sylow
32	C₂×C₇	—	2	1	no	—
33	C₂×C₇	—	3	1	no	—
34	C₂×C₇	—	3	1	no	—
35	Dic₃	—	49	1	no	Hall
36	C₇	—	2	1	no	—
37	C₇	—	3	1	no	—
38	C₇	—	3	1	no	—
39	C₂×C₃	—	49	1	no	—
40	C₄	—	21	1	no	Sylow
41	C₃	—	49	1	no	Sylow
42	C₂	C₁₉×#64418	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.