Subgroups — C₂₉×#20474 #20315374

Order 7424.

946 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₉×#433	C₂	1	1	yes	maximal, characteristic
2	C₂×C₂₉×#405	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#2298	C₂	1	1	yes	maximal, characteristic
4	C₂₉×#1771	C₂	1	2	yes	maximal, complemented
5	C₈×C₄⋊C₄×C₂₉	C₂	1	2	yes	maximal, complemented
6	C₂₉×#1753	C₂	1	2	yes	maximal
7	C₈×C₂²⋊C₄×C₂₉	C₂	1	2	yes	maximal
8	C₂₉×#1746	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#1745	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#1726	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄²×C₈×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
13	C₂³×C₈×C₂₉	C₂²	1	1	yes	characteristic
14	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
15	C₂₉×#433	C₄	1	8	yes	complemented
16	C₂×C₂₉×C₄⋊C₈	C₂²	1	2	yes	—
17	C₂×C₂₉×C₂²⋊C₈	C₂²	1	2	yes	—
18	C₂₉×#405	C₄	1	8	yes	complemented
19	C₂×C₂₉×#97	C₂²	1	2	yes	—
20	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
21	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
22	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₈×C₂₉	C₂²	1	2	yes	—
24	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₈×C₂₉	C₂²	1	2	yes	—
26	C₂×C₄×C₈×C₂₉	C₂²	1	2	yes	—
27	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
29	C₂₉×#388	C₄	1	4	yes	—
30	C₂₉×#387	C₄	1	4	yes	—
31	C₄×C₄⋊C₄×C₂₉	C₂²	1	2	yes	—
32	C₄×C₂²⋊C₄×C₂₉	C₂²	1	2	yes	—
33	C₂₉×#376	C₂²	1	1	yes	characteristic
34	C₄³×C₂₉	C₂²	1	1	yes	characteristic
35	C₂₉×#336	C₂²	1	2	yes	—
36	C₂₉×#336	C₂²	1	2	yes	—
37	C₂₉×#336	C₂²	1	2	yes	—
38	C₂₉×#336	C₂²	1	2	yes	—
39	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
40	C₂×M₁₆×C₂₉	—	2	4	no	—
41	C₂×M₁₆×C₂₉	C₂×C₄	1	4	yes	—
42	C₂²×C₈×C₂₉	—	2	4	no	—
43	C₂²×C₈×C₂₉	C₂×C₄	1	4	yes	—
44	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
47	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
48	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
49	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
50	C₂₉×#117	C₂×C₄	1	4	yes	—
51	C₂₉×#117	C₂×C₄	1	4	yes	—
52	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	4	yes	—
53	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
54	C₂×C₂²⋊C₄×C₂₉	C₂×C₄	1	4	yes	—
55	C₂×C₂²⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₂₉	C₂×C₄	1	4	yes	—
57	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
58	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
59	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
61	C₂₉×C₄⋊C₈	C₂×C₄	1	8	yes	—
62	C₂₉×C₂²⋊C₈	C₂×C₄	1	8	yes	—
63	C₂₉×#97	—	2	4	no	—
64	C₂₉×#97	C₂×C₄	1	4	yes	—
65	C₂₉×#97	C₂×C₄	1	4	yes	—
66	C₂₉×#97	C₂×C₄	1	4	yes	—
67	C₄×C₈×C₂₉	—	2	4	no	—
68	C₄×C₈×C₂₉	—	2	4	no	—
69	C₄×C₈×C₂₉	—	2	4	no	—
70	C₄×C₈×C₂₉	C₂×C₄	1	4	yes	—
71	C₄×C₈×C₂₉	C₂×C₄	1	4	yes	—
72	C₄×C₈×C₂₉	C₂×C₄	1	4	yes	—
73	C₂₉×#95	C₂×C₄	1	4	yes	—
74	C₂₉×#95	C₂×C₄	1	4	yes	—
75	C₂₉×#95	C₂×C₄	1	4	yes	—
76	C₂⁴×C₂₉	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₂₉	—	2	2	no	—
78	C₂²×C₄×C₂₉	—	2	2	no	—
79	C₂²×C₄×C₂₉	C₂²×C₄	1	4	yes	—
80	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₂₉	C₂²×C₄	1	4	yes	—
86	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
87	M₁₆×C₂₉	—	2	8	no	—
88	C₂×C₈×C₂₉	—	2	2	no	—
89	C₂×C₈×C₂₉	—	2	2	no	—
90	C₂×C₈×C₂₉	—	2	2	no	—
91	C₂×C₈×C₂₉	—	2	2	no	—
92	C₂×C₈×C₂₉	—	2	2	no	—
93	C₂×C₈×C₂₉	—	2	2	no	—
94	C₂×C₈×C₂₉	—	2	8	no	—
95	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
96	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
97	C₂×C₈×C₂₉	C₂²×C₄	1	4	yes	—
98	C₂×C₈×C₂₉	C₂²×C₄	1	4	yes	—
99	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
100	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
101	C₂×C₈×C₂₉	#41	1	4	yes	—
102	C₂×C₈×C₂₉	#41	1	4	yes	—
103	C₄⋊C₄×C₂₉	—	2	8	no	—
104	C₄⋊C₄×C₂₉	C₄²	1	8	yes	—
105	C₂²⋊C₄×C₂₉	—	2	8	no	—
106	C₂²⋊C₄×C₂₉	C₄²	1	8	yes	—
107	C₄²×C₂₉	—	2	8	no	—
108	C₄²×C₂₉	—	2	2	no	—
109	C₄²×C₂₉	—	2	2	no	—
110	C₄²×C₂₉	—	2	2	no	—
111	C₄²×C₂₉	—	2	2	no	—
112	C₄²×C₂₉	C₂²×C₄	1	2	yes	—
113	C₄²×C₂₉	C₂²×C₄	1	2	yes	—
114	C₄²×C₂₉	C₂²×C₄	1	2	yes	—
115	C₄²×C₂₉	C₂²×C₄	1	2	yes	—
116	#20474	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
117	C₂³×C₂₉	—	2	2	no	—
118	C₂³×C₂₉	—	2	4	no	—
119	C₂³×C₂₉	C₂×C₄²	1	2	yes	—
120	C₂³×C₂₉	C₂³×C₄	1	1	yes	characteristic
121	C₂×C₄×C₂₉	—	2	4	no	—
122	C₂×C₄×C₂₉	—	2	2	no	—
123	C₂×C₄×C₂₉	—	2	4	no	—
124	C₂×C₄×C₂₉	—	2	4	no	—
125	C₂×C₄×C₂₉	—	2	4	no	—
126	C₂×C₄×C₂₉	—	2	2	no	—
127	C₂×C₄×C₂₉	—	2	2	no	—
128	C₂×C₄×C₂₉	—	2	4	no	—
129	C₂×C₄×C₂₉	—	2	4	no	—
130	C₂×C₄×C₂₉	—	2	4	no	—
131	C₂×C₄×C₂₉	—	2	4	no	—
132	C₂×C₄×C₂₉	C₂×C₄²	1	4	yes	—
133	C₂×C₄×C₂₉	C₂×C₄²	1	4	yes	—
134	C₂×C₄×C₂₉	C₂×C₄²	1	2	yes	—
135	C₂×C₄×C₂₉	#131	1	8	yes	—
136	C₂×C₄×C₂₉	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₂₉	C₂³×C₄	1	1	yes	characteristic
138	C₂×C₄×C₂₉	C₂×#41	1	2	yes	—
139	C₂×C₄×C₂₉	C₂×#41	1	2	yes	—
140	C₈×C₂₉	—	2	2	no	—
141	C₈×C₂₉	—	2	2	no	—
142	C₈×C₂₉	—	2	4	no	—
143	C₈×C₂₉	—	2	4	no	—
144	C₈×C₂₉	#117	1	4	yes	—
145	C₈×C₂₉	#117	1	4	yes	—
146	C₂×#433	C₂×C₂₉	1	1	yes	characteristic
147	C₂×#405	C₂×C₂₉	1	1	yes	characteristic
148	#2298	C₂×C₂₉	1	1	yes	characteristic
149	#1771	C₂×C₂₉	1	2	yes	complemented
150	C₈×C₄⋊C₄	C₂×C₂₉	1	2	yes	complemented
151	#1753	C₂×C₂₉	1	2	yes	—
152	C₈×C₂²⋊C₄	C₂×C₂₉	1	2	yes	—
153	#1746	C₂×C₂₉	1	1	yes	characteristic, complemented
154	#1745	C₂×C₂₉	1	1	yes	characteristic, complemented
155	#1726	C₂×C₂₉	1	1	yes	characteristic, complemented
156	C₄²×C₈	C₂×C₂₉	1	1	yes	characteristic, complemented
157	C₂²×C₂₉	—	2	4	no	—
158	C₂²×C₂₉	—	2	2	no	—
159	C₂²×C₂₉	—	4	4	no	—
160	C₂²×C₂₉	C₂²×C₄²	1	1	yes	characteristic
161	C₂²×C₂₉	C₄×#41	1	2	yes	—
162	C₂²×C₂₉	C₂×#131	1	4	yes	—
163	C₄×C₂₉	—	2	4	no	—
164	C₄×C₂₉	—	2	4	no	—
165	C₄×C₂₉	—	2	8	no	—
166	C₄×C₂₉	—	2	2	no	—
167	C₄×C₂₉	—	4	4	no	—
168	C₄×C₂₉	C₂×#117	1	1	yes	characteristic
169	C₄×C₂₉	C₂×#117	1	1	yes	characteristic
170	C₄×C₂₉	C₄×#41	1	2	yes	—
171	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
172	C₂³×C₈	C₂²×C₂₉	1	1	yes	characteristic
173	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
174	#433	C₄×C₂₉	1	8	yes	complemented
175	C₂×C₄⋊C₈	C₂²×C₂₉	1	2	yes	—
176	C₂×C₂²⋊C₈	C₂²×C₂₉	1	2	yes	—
177	#405	C₄×C₂₉	1	8	yes	complemented
178	C₂×#97	C₂²×C₂₉	1	2	yes	—
179	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
180	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
181	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
182	C₂×C₄×C₈	C₂²×C₂₉	1	2	yes	—
183	C₂×C₄×C₈	C₂²×C₂₉	1	2	yes	—
184	C₂×C₄×C₈	C₂²×C₂₉	1	2	yes	—
185	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
186	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
187	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
188	#388	C₄×C₂₉	1	4	yes	—
189	#387	C₄×C₂₉	1	4	yes	—
190	C₄×C₄⋊C₄	C₂²×C₂₉	1	2	yes	—
191	C₄×C₂²⋊C₄	C₂²×C₂₉	1	2	yes	—
192	#376	C₂²×C₂₉	1	1	yes	characteristic
193	C₄³	C₂²×C₂₉	1	1	yes	characteristic
194	#336	C₂²×C₂₉	1	2	yes	—
195	#336	C₂²×C₂₉	1	2	yes	—
196	#336	C₂²×C₂₉	1	2	yes	—
197	#336	C₂²×C₂₉	1	2	yes	—
198	C₂×C₂₉	—	4	2	no	—
199	C₂×C₂₉	C₄×#117	1	1	yes	characteristic
200	C₂×C₂₉	C₄×#131	1	2	yes	—
201	C₂×C₂₉	#2966	1	4	yes	—
202	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
203	C₂×M₁₆	—	2	4	no	—
204	C₂×M₁₆	C₂×C₄×C₂₉	1	4	yes	—
205	C₂²×C₈	—	2	4	no	—
206	C₂²×C₈	C₂×C₄×C₂₉	1	4	yes	—
207	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
208	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
209	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
210	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
211	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
212	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
213	#117	C₂×C₄×C₂₉	1	4	yes	—
214	#117	C₂×C₄×C₂₉	1	4	yes	—
215	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	4	yes	—
216	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
217	C₂×C₂²⋊C₄	C₂×C₄×C₂₉	1	4	yes	—
218	C₂×C₂²⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
219	C₂×C₄²	C₂×C₄×C₂₉	1	4	yes	—
220	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
221	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
222	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
223	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
224	C₄⋊C₈	C₂×C₄×C₂₉	1	8	yes	—
225	C₂²⋊C₈	C₂×C₄×C₂₉	1	8	yes	—
226	#97	—	2	4	no	—
227	#97	C₂×C₄×C₂₉	1	4	yes	—
228	#97	C₂×C₄×C₂₉	1	4	yes	—
229	#97	C₂×C₄×C₂₉	1	4	yes	—
230	C₄×C₈	—	2	4	no	—
231	C₄×C₈	—	2	4	no	—
232	C₄×C₈	—	2	4	no	—
233	C₄×C₈	C₂×C₄×C₂₉	1	4	yes	—
234	C₄×C₈	C₂×C₄×C₂₉	1	4	yes	—
235	C₄×C₈	C₂×C₄×C₂₉	1	4	yes	—
236	#95	C₂×C₄×C₂₉	1	4	yes	—
237	#95	C₂×C₄×C₂₉	1	4	yes	—
238	#95	C₂×C₄×C₂₉	1	4	yes	—
239	C₂₉	#20474	1	1	yes	characteristic, direct product factor, Sylow
240	C₂⁴	C₂²×C₄×C₂₉	1	1	yes	characteristic
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	C₂²×C₄×C₂₉	1	4	yes	—
244	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
245	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
246	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
247	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
248	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
249	C₂²×C₄	C₂²×C₄×C₂₉	1	4	yes	—
250	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
251	M₁₆	—	2	8	no	—
252	C₂×C₈	—	2	2	no	—
253	C₂×C₈	—	2	2	no	—
254	C₂×C₈	—	2	2	no	—
255	C₂×C₈	—	2	2	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	8	no	—
259	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
260	C₂×C₈	C₂²×C₄×C₂₉	1	4	yes	—
261	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
262	C₂×C₈	C₂²×C₄×C₂₉	1	4	yes	—
263	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
264	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
265	C₂×C₈	#41×C₂₉	1	4	yes	—
266	C₂×C₈	#41×C₂₉	1	4	yes	—
267	C₄⋊C₄	—	2	8	no	—
268	C₄⋊C₄	C₄²×C₂₉	1	8	yes	—
269	C₂²⋊C₄	—	2	8	no	—
270	C₂²⋊C₄	C₄²×C₂₉	1	8	yes	—
271	C₄²	—	2	8	no	—
272	C₄²	—	2	2	no	—
273	C₄²	—	2	2	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	2	2	no	—
276	C₄²	C₂²×C₄×C₂₉	1	2	yes	—
277	C₄²	C₂²×C₄×C₂₉	1	2	yes	—
278	C₄²	C₂²×C₄×C₂₉	1	2	yes	—
279	C₄²	C₂²×C₄×C₂₉	1	2	yes	—
280	C₂³	—	2	2	no	—
281	C₂³	—	2	4	no	—
282	C₂³	C₂×C₄²×C₂₉	1	2	yes	—
283	C₂³	C₂³×C₄×C₂₉	1	1	yes	characteristic
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	2	no	—
286	C₂×C₄	—	2	4	no	—
287	C₂×C₄	—	2	4	no	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	C₂×C₄²×C₂₉	1	4	yes	—
296	C₂×C₄	C₂×C₄²×C₂₉	1	4	yes	—
297	C₂×C₄	C₂×C₄²×C₂₉	1	2	yes	—
298	C₂×C₄	C₂₉×#131	1	8	yes	—
299	C₂×C₄	C₂³×C₄×C₂₉	1	1	yes	characteristic
300	C₂×C₄	C₂³×C₄×C₂₉	1	1	yes	characteristic
301	C₂×C₄	C₂×#41×C₂₉	1	2	yes	—
302	C₂×C₄	C₂×#41×C₂₉	1	2	yes	—
303	C₈	—	2	2	no	—
304	C₈	—	2	2	no	—
305	C₈	—	2	4	no	—
306	C₈	—	2	4	no	—
307	C₈	C₂₉×#117	1	4	yes	—
308	C₈	C₂₉×#117	1	4	yes	—
309	C₂²	—	2	2	no	—
310	C₂²	—	2	4	no	—
311	C₂²	—	4	4	no	—
312	C₂²	C₂²×C₄²×C₂₉	1	1	yes	characteristic
313	C₂²	C₄×#41×C₂₉	1	2	yes	—
314	C₂²	C₂×C₂₉×#131	1	4	yes	—
315	C₄	—	2	8	no	—
316	C₄	—	2	2	no	—
317	C₄	—	2	4	no	—
318	C₄	—	2	4	no	—
319	C₄	—	4	4	no	—
320	C₄	C₂×C₂₉×#117	1	1	yes	characteristic
321	C₄	C₂×C₂₉×#117	1	1	yes	characteristic
322	C₄	C₄×#41×C₂₉	1	2	yes	—
323	C₂	—	4	2	no	—
324	C₂	C₄×C₂₉×#117	1	1	yes	characteristic
325	C₂	C₄×C₂₉×#131	1	2	yes	—
326	C₂	C₂₉×#2966	1	4	yes	—

	subgroup	G/H
center	C₂²×C₈×C₂₉	C₂³
commutator	C₂²	C₂²×C₄²×C₂₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₉
socle	C₂³×C₂₉	C₂³×C₄
prime radical	C₂⁴×C₂₉	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₂₉×#1771	C₂	semidirect
5. C₈×C₄⋊C₄×C₂₉	C₂	semidirect
8. C₂₉×#1746	C₂	semidirect
9. C₂₉×#1745	C₂	semidirect
10. C₂₉×#1726	C₂	semidirect
11. C₄²×C₈×C₂₉	C₂	semidirect
15. C₂₉×#433	C₄	semidirect
18. C₂₉×#405	C₄	semidirect
116. #20474	C₂₉	direct (N × H)
149. #1771	C₂×C₂₉	semidirect
150. C₈×C₄⋊C₄	C₂×C₂₉	semidirect
153. #1746	C₂×C₂₉	semidirect
154. #1745	C₂×C₂₉	semidirect
155. #1726	C₂×C₂₉	semidirect
156. C₄²×C₈	C₂×C₂₉	semidirect
174. #433	C₄×C₂₉	semidirect
177. #405	C₄×C₂₉	semidirect
239. C₂₉	#20474	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₉×#433	2
C₂×C₂₉×#405	2
C₂₉×#2298	2
C₂₉×#1771	2
C₈×C₄⋊C₄×C₂₉	2
C₂₉×#1753	2
C₈×C₂²⋊C₄×C₂₉	2
C₂₉×#1746	2
C₂₉×#1745	2
C₂₉×#1726	2
C₄²×C₈×C₂₉	2
#20474	29

Subgroups — C29×#20474 #20315374

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#20474 #20315374