Subgroups — C₂₉×#20802 #20315702

Order 7424.

1070 conjugacy classes of subgroups.

The subgroup lattice has 322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₉×#428	C₂	1	2	yes	maximal
2	C₂×C₂₉×#427	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₂₉×#106	C₂	1	1	yes	maximal, characteristic
4	C₂×C₂₉×#405	C₂	1	1	yes	maximal, characteristic
5	C₂₉×#2317	C₂	1	2	yes	maximal
6	C₂₉×#1847	C₂	1	4	yes	maximal, complemented
7	C₂₉×#1846	C₂	1	2	yes	maximal, complemented
8	C₂₉×#1844	C₂	1	2	yes	maximal, complemented
9	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
10	C₂³×C₈×C₂₉	C₂²	1	1	yes	characteristic
11	C₂×C₂₉×#117	C₂²	1	2	yes	—
12	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
13	C₂²×C₄⋊C₄×C₂₉	C₂²	1	2	yes	—
14	C₂₉×#428	—	2	8	no	—
15	C₂₉×#427	—	2	4	no	—
16	C₂×C₂₉×#107	C₂²	1	4	yes	—
17	C₂×C₂₉×#107	C₂²	1	2	yes	—
18	C₂×C₂₉×#106	—	2	4	no	—
19	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
20	C₂×C₂₉×#106	C₂²	1	2	yes	—
21	C₂×C₂₉×#106	C₂²	1	4	yes	—
22	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
23	C₂×C₂₉×#106	C₂²	1	2	yes	—
24	C₂₉×#405	C₄	1	8	yes	complemented
25	C₂×C₂₉×#97	C₂²	1	2	yes	—
26	C₂×C₄×C₈×C₂₉	C₂²	1	2	yes	—
27	C₂₉×#389	—	2	4	no	—
28	C₂₉×#385	—	2	4	no	—
29	C₂₉×#384	C₂²	1	4	yes	—
30	C₂₉×#382	C₂²	1	4	yes	—
31	C₂³×C₄×C₂₉	—	2	2	no	—
32	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
33	C₂×M₁₆×C₂₉	C₂×C₄	1	4	yes	—
34	C₂×M₁₆×C₂₉	D₄	1	4	yes	—
35	C₂×M₁₆×C₂₉	Q₈	1	4	yes	—
36	C₂²×C₈×C₂₉	C₂×C₄	1	4	yes	—
37	C₂²×C₈×C₂₉	D₄	1	4	yes	—
38	C₂²×C₈×C₂₉	Q₈	1	4	yes	—
39	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
41	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
42	C₂₉×#117	—	2	4	no	—
43	C₂₉×#117	—	2	4	no	—
44	C₂₉×#117	C₂×C₄	1	4	yes	—
45	C₂₉×#117	Q₈	1	4	yes	—
46	C₂×C₄⋊C₄×C₂₉	—	2	4	no	—
47	C₂×C₄⋊C₄×C₂₉	—	2	4	no	—
48	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
49	C₂×C₄⋊C₄×C₂₉	—	2	8	no	—
50	C₂×C₄⋊C₄×C₂₉	D₄	1	2	yes	—
51	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
52	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
53	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
54	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
55	C₂×C₂²⋊C₄×C₂₉	D₄	1	2	yes	—
56	C₂×C₄²×C₂₉	—	2	2	no	—
57	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
58	C₂₉×#107	—	2	4	no	—
59	C₂₉×#107	—	2	8	no	—
60	C₂₉×#106	—	2	4	no	—
61	C₂₉×#106	—	2	4	no	—
62	C₂₉×#106	—	2	2	no	—
63	C₂₉×#106	—	2	2	no	—
64	C₂₉×#106	—	2	8	no	—
65	C₂₉×#97	C₂×C₄	1	8	yes	complemented
66	C₄×C₈×C₂₉	C₂×C₄	1	8	yes	complemented
67	C₂₉×#95	—	2	8	no	—
68	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₂₉	—	2	2	no	—
70	C₂²×C₄×C₂₉	—	2	2	no	—
71	C₂²×C₄×C₂₉	—	2	4	no	—
72	C₂²×C₄×C₂₉	—	4	4	no	—
73	C₂²×C₄×C₂₉	—	8	4	no	—
74	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₂₉	C₂×D₄	1	4	yes	—
76	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
77	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
79	C₂²×C₄×C₂₉	C₂×Q₈	1	2	yes	—
80	C₂²×C₄×C₂₉	C₂×Q₈	1	2	yes	—
81	C₂²×C₄×C₂₉	C₂×Q₈	1	2	yes	—
82	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
83	M₁₆×C₂₉	C₄⋊C₄	1	16	yes	complemented
84	C₂×C₈×C₂₉	C₄⋊C₄	1	16	yes	complemented
85	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
86	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
87	C₂×C₈×C₂₉	C₂²×C₄	1	4	yes	—
88	C₂×C₈×C₂₉	C₂×D₄	1	2	yes	—
89	C₂×C₈×C₂₉	C₂×D₄	1	2	yes	—
90	C₂×C₈×C₂₉	C₂×D₄	1	4	yes	—
91	C₂×C₈×C₂₉	C₂×Q₈	1	2	yes	—
92	C₂×C₈×C₂₉	C₂×Q₈	1	2	yes	—
93	C₂×C₈×C₂₉	C₂×Q₈	1	4	yes	—
94	C₄⋊C₄×C₂₉	—	2	4	no	—
95	C₄⋊C₄×C₂₉	—	2	4	no	—
96	C₄⋊C₄×C₂₉	—	2	2	no	—
97	C₄⋊C₄×C₂₉	—	2	2	no	—
98	C₄⋊C₄×C₂₉	—	2	2	no	—
99	C₄⋊C₄×C₂₉	—	2	2	no	—
100	C₄⋊C₄×C₂₉	—	4	4	no	—
101	C₄⋊C₄×C₂₉	—	8	8	no	—
102	C₄⋊C₄×C₂₉	C₄⋊C₄	1	8	yes	—
103	C₂²⋊C₄×C₂₉	—	4	4	no	—
104	C₂²⋊C₄×C₂₉	C₄⋊C₄	1	8	yes	—
105	C₄²×C₂₉	—	4	4	no	—
106	C₄²×C₂₉	C₂²×C₄	1	4	yes	—
107	C₄²×C₂₉	C₂×Q₈	1	4	yes	—
108	#20802	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂³×C₂₉	—	2	4	no	—
110	C₂³×C₂₉	C₂×C₄⋊C₄	1	2	yes	—
111	C₂³×C₂₉	#127	1	2	yes	—
112	C₂³×C₂₉	C₄⋊Q₈	1	2	yes	—
113	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
114	C₂×C₄×C₂₉	—	2	8	no	—
115	C₂×C₄×C₂₉	—	4	2	no	—
116	C₂×C₄×C₂₉	—	4	2	no	—
117	C₂×C₄×C₂₉	—	4	4	no	—
118	C₂×C₄×C₂₉	—	4	4	no	—
119	C₂×C₄×C₂₉	—	4	8	no	—
120	C₂×C₄×C₂₉	—	4	4	no	—
121	C₂×C₄×C₂₉	—	8	8	no	—
122	C₂×C₄×C₂₉	C₂×C₄⋊C₄	1	8	yes	—
123	C₂×C₄×C₂₉	C₂×C₄⋊C₄	1	4	yes	—
124	C₂×C₄×C₂₉	C₂×C₄⋊C₄	1	4	yes	—
125	C₂×C₄×C₂₉	C₂×C₄⋊C₄	1	2	yes	—
126	C₂×C₄×C₂₉	#127	1	2	yes	—
127	C₂×C₄×C₂₉	C₄⋊Q₈	1	4	yes	—
128	C₂×C₄×C₂₉	C₄⋊Q₈	1	4	yes	—
129	C₂×C₄×C₂₉	C₄⋊Q₈	1	2	yes	—
130	C₂×C₄×C₂₉	C₂³×C₄	1	1	yes	characteristic
131	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
132	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
133	C₂×C₄×C₂₉	C₂²×Q₈	1	1	yes	characteristic
134	C₂×C₄×C₂₉	C₂²×Q₈	1	1	yes	characteristic
135	C₂×C₄×C₂₉	C₂²×Q₈	1	1	yes	characteristic
136	C₈×C₂₉	C₂×C₄⋊C₄	1	4	yes	—
137	C₈×C₂₉	C₂×C₄⋊C₄	1	4	yes	—
138	C₈×C₂₉	C₂×C₄⋊C₄	1	8	yes	—
139	C₂×#428	C₂×C₂₉	1	2	yes	—
140	C₂×#427	C₂×C₂₉	1	1	yes	characteristic
141	C₂²×#106	C₂×C₂₉	1	1	yes	characteristic
142	C₂×#405	C₂×C₂₉	1	1	yes	characteristic
143	#2317	C₂×C₂₉	1	2	yes	—
144	#1847	C₂×C₂₉	1	4	yes	complemented
145	#1846	C₂×C₂₉	1	2	yes	complemented
146	#1844	C₂×C₂₉	1	2	yes	complemented
147	C₂²×C₂₉	—	2	4	no	—
148	C₂²×C₂₉	—	2	4	no	—
149	C₂²×C₂₉	—	2	4	no	—
150	C₂²×C₂₉	#384	1	4	yes	—
151	C₂²×C₂₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
152	C₂²×C₂₉	C₂×#127	1	1	yes	characteristic
153	C₂²×C₂₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
154	C₂²×C₂₉	#577	1	4	yes	—
155	C₄×C₂₉	—	2	8	no	—
156	C₄×C₂₉	—	8	2	no	—
157	C₄×C₂₉	—	8	2	no	—
158	C₄×C₂₉	—	8	4	no	—
159	C₄×C₂₉	#384	1	4	yes	—
160	C₄×C₂₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
161	C₄×C₂₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
162	C₄×C₂₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
163	C₄×C₂₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
164	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
165	C₂³×C₈	C₂²×C₂₉	1	1	yes	characteristic
166	C₂×#117	C₂²×C₂₉	1	2	yes	—
167	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
168	C₂²×C₄⋊C₄	C₂²×C₂₉	1	2	yes	—
169	#428	—	2	8	no	—
170	#427	—	2	4	no	—
171	C₂×#107	C₂²×C₂₉	1	4	yes	—
172	C₂×#107	C₂²×C₂₉	1	2	yes	—
173	C₂×#106	—	2	4	no	—
174	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
175	C₂×#106	C₂²×C₂₉	1	2	yes	—
176	C₂×#106	C₂²×C₂₉	1	4	yes	—
177	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
178	C₂×#106	C₂²×C₂₉	1	2	yes	—
179	#405	C₄×C₂₉	1	8	yes	complemented
180	C₂×#97	C₂²×C₂₉	1	2	yes	—
181	C₂×C₄×C₈	C₂²×C₂₉	1	2	yes	—
182	#389	—	2	4	no	—
183	#385	—	2	4	no	—
184	#384	C₂²×C₂₉	1	4	yes	—
185	#382	C₂²×C₂₉	1	4	yes	—
186	C₂×C₂₉	—	2	4	no	—
187	C₂×C₂₉	C₂×#384	1	1	yes	characteristic
188	C₂×C₂₉	#2912	1	2	yes	—
189	C₂×C₂₉	#3154	1	2	yes	—
190	C₂×C₂₉	#3163	1	2	yes	—
191	C₂³×C₄	—	2	2	no	—
192	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
193	C₂×M₁₆	C₂×C₄×C₂₉	1	4	yes	—
194	C₂×M₁₆	D₄×C₂₉	1	4	yes	—
195	C₂×M₁₆	Q₈×C₂₉	1	4	yes	—
196	C₂²×C₈	C₂×C₄×C₂₉	1	4	yes	—
197	C₂²×C₈	D₄×C₂₉	1	4	yes	—
198	C₂²×C₈	Q₈×C₂₉	1	4	yes	—
199	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
200	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
201	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
202	#117	—	2	4	no	—
203	#117	—	2	4	no	—
204	#117	C₂×C₄×C₂₉	1	4	yes	—
205	#117	Q₈×C₂₉	1	4	yes	—
206	C₂×C₄⋊C₄	—	2	4	no	—
207	C₂×C₄⋊C₄	—	2	4	no	—
208	C₂×C₄⋊C₄	—	2	2	no	—
209	C₂×C₄⋊C₄	—	2	8	no	—
210	C₂×C₄⋊C₄	D₄×C₂₉	1	2	yes	—
211	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
212	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
213	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
214	C₂×C₂²⋊C₄	—	2	2	no	—
215	C₂×C₂²⋊C₄	D₄×C₂₉	1	2	yes	—
216	C₂×C₄²	—	2	2	no	—
217	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
218	#107	—	2	4	no	—
219	#107	—	2	8	no	—
220	#106	—	2	4	no	—
221	#106	—	2	4	no	—
222	#106	—	2	2	no	—
223	#106	—	2	2	no	—
224	#106	—	2	8	no	—
225	#97	C₂×C₄×C₂₉	1	8	yes	complemented
226	C₄×C₈	C₂×C₄×C₂₉	1	8	yes	complemented
227	#95	—	2	8	no	—
228	C₂₉	#20802	1	1	yes	characteristic, direct product factor, Sylow
229	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
230	C₂²×C₄	—	2	2	no	—
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	2	2	no	—
233	C₂²×C₄	—	4	4	no	—
234	C₂²×C₄	—	8	4	no	—
235	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
236	C₂²×C₄	C₂×D₄×C₂₉	1	4	yes	—
237	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
238	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
239	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
240	C₂²×C₄	C₂×Q₈×C₂₉	1	2	yes	—
241	C₂²×C₄	C₂×Q₈×C₂₉	1	2	yes	—
242	C₂²×C₄	C₂×Q₈×C₂₉	1	2	yes	—
243	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
244	M₁₆	C₄⋊C₄×C₂₉	1	16	yes	complemented
245	C₂×C₈	C₄⋊C₄×C₂₉	1	16	yes	complemented
246	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
247	C₂×C₈	C₂²×C₄×C₂₉	1	4	yes	—
248	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
249	C₂×C₈	C₂×D₄×C₂₉	1	2	yes	—
250	C₂×C₈	C₂×D₄×C₂₉	1	2	yes	—
251	C₂×C₈	C₂×D₄×C₂₉	1	4	yes	—
252	C₂×C₈	C₂×Q₈×C₂₉	1	2	yes	—
253	C₂×C₈	C₂×Q₈×C₂₉	1	2	yes	—
254	C₂×C₈	C₂×Q₈×C₂₉	1	4	yes	—
255	C₄⋊C₄	—	2	4	no	—
256	C₄⋊C₄	—	2	2	no	—
257	C₄⋊C₄	—	2	4	no	—
258	C₄⋊C₄	—	2	2	no	—
259	C₄⋊C₄	—	2	2	no	—
260	C₄⋊C₄	—	2	2	no	—
261	C₄⋊C₄	—	4	4	no	—
262	C₄⋊C₄	—	8	8	no	—
263	C₄⋊C₄	C₄⋊C₄×C₂₉	1	8	yes	—
264	C₂²⋊C₄	—	4	4	no	—
265	C₂²⋊C₄	C₄⋊C₄×C₂₉	1	8	yes	—
266	C₄²	—	4	4	no	—
267	C₄²	C₂²×C₄×C₂₉	1	4	yes	—
268	C₄²	C₂×Q₈×C₂₉	1	4	yes	—
269	C₂³	—	2	4	no	—
270	C₂³	C₂×C₄⋊C₄×C₂₉	1	2	yes	—
271	C₂³	C₂₉×#127	1	2	yes	—
272	C₂³	C₂₉×C₄⋊Q₈	1	2	yes	—
273	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
274	C₂×C₄	—	2	8	no	—
275	C₂×C₄	—	4	2	no	—
276	C₂×C₄	—	4	2	no	—
277	C₂×C₄	—	4	4	no	—
278	C₂×C₄	—	4	4	no	—
279	C₂×C₄	—	4	8	no	—
280	C₂×C₄	—	4	4	no	—
281	C₂×C₄	—	8	8	no	—
282	C₂×C₄	C₂×C₄⋊C₄×C₂₉	1	8	yes	—
283	C₂×C₄	C₂×C₄⋊C₄×C₂₉	1	4	yes	—
284	C₂×C₄	C₂×C₄⋊C₄×C₂₉	1	4	yes	—
285	C₂×C₄	C₂×C₄⋊C₄×C₂₉	1	2	yes	—
286	C₂×C₄	C₂₉×#127	1	2	yes	—
287	C₂×C₄	C₂₉×C₄⋊Q₈	1	4	yes	—
288	C₂×C₄	C₂₉×C₄⋊Q₈	1	4	yes	—
289	C₂×C₄	C₂₉×C₄⋊Q₈	1	2	yes	—
290	C₂×C₄	C₂³×C₄×C₂₉	1	1	yes	characteristic
291	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
292	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
293	C₂×C₄	C₂²×Q₈×C₂₉	1	1	yes	characteristic
294	C₂×C₄	C₂²×Q₈×C₂₉	1	1	yes	characteristic
295	C₂×C₄	C₂²×Q₈×C₂₉	1	1	yes	characteristic
296	C₈	C₂×C₄⋊C₄×C₂₉	1	4	yes	—
297	C₈	C₂×C₄⋊C₄×C₂₉	1	4	yes	—
298	C₈	C₂×C₄⋊C₄×C₂₉	1	8	yes	—
299	C₂²	—	2	4	no	—
300	C₂²	—	2	4	no	—
301	C₂²	—	2	4	no	—
302	C₂²	C₂₉×#384	1	4	yes	—
303	C₂²	C₂²×C₄⋊C₄×C₂₉	1	1	yes	characteristic
304	C₂²	C₂×C₂₉×#127	1	1	yes	characteristic
305	C₂²	C₂×C₂₉×C₄⋊Q₈	1	1	yes	characteristic
306	C₂²	C₂₉×#577	1	4	yes	—
307	C₄	—	2	8	no	—
308	C₄	—	8	4	no	—
309	C₄	—	8	2	no	—
310	C₄	—	8	2	no	—
311	C₄	C₂₉×#384	1	4	yes	—
312	C₄	C₂²×C₄⋊C₄×C₂₉	1	1	yes	characteristic
313	C₄	C₂²×C₄⋊C₄×C₂₉	1	1	yes	characteristic
314	C₄	C₂×C₂₉×C₄⋊Q₈	1	1	yes	characteristic
315	C₄	C₂×C₂₉×C₄⋊Q₈	1	1	yes	characteristic
316	C₂	—	2	4	no	—
317	C₂	C₂×C₂₉×#384	1	1	yes	characteristic
318	C₂	C₂₉×#2912	1	2	yes	—
319	C₂	C₂₉×#3154	1	2	yes	—
320	C₂	C₂₉×#3163	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₂₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₂₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₉
prime radical	C₂⁴×C₂₉	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₉ ◁ C₂×C₂₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
6. C₂₉×#1847	C₂	semidirect
7. C₂₉×#1846	C₂	semidirect
8. C₂₉×#1844	C₂	semidirect
24. C₂₉×#405	C₄	semidirect
65. C₂₉×#97	C₂×C₄	semidirect
66. C₄×C₈×C₂₉	C₂×C₄	semidirect
83. M₁₆×C₂₉	C₄⋊C₄	semidirect
84. C₂×C₈×C₂₉	C₄⋊C₄	semidirect
108. #20802	C₂₉	direct (N × H)
144. #1847	C₂×C₂₉	semidirect
145. #1846	C₂×C₂₉	semidirect
146. #1844	C₂×C₂₉	semidirect
179. #405	C₄×C₂₉	semidirect
225. #97	C₂×C₄×C₂₉	semidirect
226. C₄×C₈	C₂×C₄×C₂₉	semidirect
228. C₂₉	#20802	direct (N × H)
244. M₁₆	C₄⋊C₄×C₂₉	semidirect
245. C₂×C₈	C₄⋊C₄×C₂₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₂₉×#428	2
C₂×C₂₉×#427	2
C₂²×C₂₉×#106	2
C₂×C₂₉×#405	2
C₂₉×#2317	2
C₂₉×#1847	2
C₂₉×#1846	2
C₂₉×#1844	2
#20802	29

Subgroups — C29×#20802 #20315702

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#20802 #20315702