Subgroups — D₂₉×#401 #16822787

Order 3712.

516 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉⋊#401	C₂	1	7	yes	maximal, complemented
2	#95×D₂₉	C₂	1	7	yes	maximal
3	C₂₉×#401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₄×D₂₉	C₂²	1	7	yes	—
5	C₂₉×#95	C₂²	1	7	yes	—
6	#11745179	C₂²	1	21	yes	—
7	C₂³×D₂₉	C₂³	1	1	yes	characteristic
8	C₂²×C₄×C₂₉	C₂³	1	7	yes	—
9	C₂²×Dic₂₉	C₂³	1	7	yes	—
10	C₂×C₄×D₂₉	—	2	42	no	—
11	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
12	C₂²×D₂₉	#41	1	14	yes	—
13	C₂×C₄×C₂₉	—	2	21	no	—
14	C₂×Dic₂₉	—	2	21	no	—
15	C₄×D₂₉	—	4	28	no	—
16	C₂×#401	—	29	1	no	maximal, Sylow
17	C₂²×C₂₉	C₂×#41	1	7	yes	—
18	C₂×D₂₉	#126	1	28	yes	—
19	C₄×C₂₉	—	4	7	no	—
20	Dic₂₉	—	4	7	no	—
21	#401	—	29	7	no	—
22	#401	D₂₉	1	1	yes	characteristic, direct product factor
23	C₂×#95	—	29	7	no	—
24	C₂×C₂₉	C₂×#126	1	7	yes	—
25	D₂₉	#401	1	8	yes	direct product factor
26	C₂³×C₄	—	29	7	no	—
27	#95	—	29	21	no	—
28	#95	C₂×D₂₉	1	7	yes	—
29	C₂₉	C₂×#401	1	1	yes	characteristic, complemented, Sylow
30	C₂⁴	—	29	1	no	—
31	C₂²×C₄	—	29	7	no	—
32	C₂²×C₄	—	58	42	no	—
33	C₂²×C₄	C₂²×D₂₉	1	7	yes	—
34	C₂³	—	29	14	no	—
35	C₂³	C₂³×D₂₉	1	1	yes	characteristic
36	C₂×C₄	—	2	21	no	—
37	C₂×C₄	—	58	21	no	—
38	C₂×C₄	—	116	28	no	—
39	C₂²	—	29	28	no	—
40	C₂²	#41×D₂₉	1	7	yes	—
41	C₄	—	4	7	no	—
42	C₄	—	116	7	no	—
43	C₂	—	29	8	no	—
44	C₂	#126×D₂₉	1	7	yes	—

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.