Subgroups — C₂₉×#23368 #20318268

Order 7424.

580 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#2399	C₂	1	1	yes	maximal, characteristic
2	C₂₉×#1985	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#1985	C₂	1	2	yes	maximal
4	C₂₉×#1984	C₂	1	1	yes	maximal, characteristic
5	C₂₉×#1917	C₂	1	2	yes	maximal
6	C₂₉×#1917	C₂	1	2	yes	maximal
7	C₂₉×#1917	C₂	1	2	yes	maximal
8	C₂₉×#1916	C₂	1	2	yes	maximal
9	C₂₉×#1840	C₂	1	2	yes	maximal
10	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
11	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
12	C₂×C₂₉×C₄⋊C₈	C₂²	1	2	yes	—
13	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
16	C₂×C₂₉×#97	C₂²	1	2	yes	—
17	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
18	C₂₉×#398	C₄	1	1	yes	characteristic
19	C₂₉×#398	C₄	1	1	yes	characteristic
20	C₂₉×#398	C₄	1	2	yes	—
21	C₂₉×#395	C₄	1	2	yes	—
22	C₂₉×#395	C₄	1	1	yes	characteristic
23	C₂₉×#395	C₄	1	1	yes	characteristic
24	C₄×C₄⋊C₄×C₂₉	C₂²	1	2	yes	—
25	C₄×C₄⋊C₄×C₂₉	C₂²	1	2	yes	—
26	C₂₉×#376	C₂²	1	1	yes	characteristic
27	C₂₉×#336	C₂²	1	2	yes	—
28	C₂₉×#336	C₂²	1	2	yes	—
29	C₂₉×#336	C₂²	1	2	yes	—
30	C₂₉×#336	C₂²	1	2	yes	—
31	C₂₉×#336	C₂²	1	2	yes	—
32	C₂₉×#336	C₂²	1	2	yes	—
33	C₂₉×#336	C₂²	1	2	yes	—
34	C₂₉×#336	C₂²	1	2	yes	—
35	C₂₉×#336	C₂²	1	2	yes	—
36	C₂₉×#336	C₂²	1	2	yes	—
37	C₂²×Q₈×C₂₉	C₂×C₄	1	1	yes	characteristic
38	C₂²×Q₈×C₂₉	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
40	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
41	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
42	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
43	C₄×Q₈×C₂₉	—	4	1	no	—
44	C₄×Q₈×C₂₉	—	4	1	no	—
45	C₄×Q₈×C₂₉	—	4	1	no	—
46	C₄×Q₈×C₂₉	—	4	1	no	—
47	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
50	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
51	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
52	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
53	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
54	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
55	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
57	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
58	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
60	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
61	C₂₉×C₄⋊C₈	—	4	2	no	—
62	C₂₉×C₄⋊C₈	—	4	1	no	—
63	C₂₉×C₄⋊C₈	—	4	1	no	—
64	C₂₉×#97	—	4	2	no	—
65	C₂₉×#97	—	4	1	no	—
66	C₄×C₈×C₂₉	—	4	1	no	—
67	C₂₉×#95	C₂×C₄	1	2	yes	—
68	C₂₉×#95	C₂×C₄	1	1	yes	characteristic
69	C₂₉×#95	C₂×C₄	1	1	yes	characteristic
70	C₂₉×#95	C₂×C₄	1	2	yes	—
71	C₂₉×#95	C₂×C₄	1	2	yes	—
72	C₂₉×#95	C₂×C₄	1	2	yes	—
73	C₂₉×#95	C₂×C₄	1	2	yes	—
74	C₂×Q₈×C₂₉	—	2	2	no	—
75	C₂×Q₈×C₂₉	—	4	1	no	—
76	C₂×Q₈×C₂₉	—	4	1	no	—
77	C₂×Q₈×C₂₉	—	4	1	no	—
78	C₂×Q₈×C₂₉	—	4	2	no	—
79	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
88	C₂²×C₄×C₂₉	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
95	C₂×C₈×C₂₉	—	2	2	no	—
96	C₂×C₈×C₂₉	—	2	4	no	—
97	C₂×C₈×C₂₉	—	2	2	no	—
98	C₂×C₈×C₂₉	—	2	2	no	—
99	C₂×C₈×C₂₉	—	2	4	no	—
100	C₄⋊C₄×C₂₉	—	2	4	no	—
101	C₄⋊C₄×C₂₉	—	4	2	no	—
102	C₄⋊C₄×C₂₉	—	4	2	no	—
103	C₄⋊C₄×C₂₉	—	4	2	no	—
104	C₄⋊C₄×C₂₉	—	4	1	no	—
105	C₄⋊C₄×C₂₉	—	4	1	no	—
106	C₄⋊C₄×C₂₉	—	4	1	no	—
107	C₄⋊C₄×C₂₉	—	4	2	no	—
108	C₄⋊C₄×C₂₉	—	4	1	no	—
109	C₄²×C₂₉	—	2	1	no	—
110	C₄²×C₂₉	—	2	1	no	—
111	C₄²×C₂₉	—	2	1	no	—
112	C₄²×C₂₉	—	2	2	no	—
113	C₄²×C₂₉	—	2	1	no	—
114	C₄²×C₂₉	—	2	1	no	—
115	C₄²×C₂₉	—	2	2	no	—
116	C₄²×C₂₉	—	2	1	no	—
117	C₄²×C₂₉	—	2	2	no	—
118	C₄²×C₂₉	—	2	2	no	—
119	#23368	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
120	C₂³×C₂₉	C₂³×C₄	1	1	yes	characteristic
121	Q₈×C₂₉	—	4	4	no	—
122	Q₈×C₂₉	—	4	4	no	—
123	C₂×C₄×C₂₉	—	2	1	no	—
124	C₂×C₄×C₂₉	—	2	1	no	—
125	C₂×C₄×C₂₉	—	2	1	no	—
126	C₂×C₄×C₂₉	—	2	1	no	—
127	C₂×C₄×C₂₉	—	2	2	no	—
128	C₂×C₄×C₂₉	—	2	1	no	—
129	C₂×C₄×C₂₉	—	2	1	no	—
130	C₂×C₄×C₂₉	—	2	1	no	—
131	C₂×C₄×C₂₉	—	2	2	no	—
132	C₂×C₄×C₂₉	—	2	2	no	—
133	C₂×C₄×C₂₉	—	2	2	no	—
134	C₂×C₄×C₂₉	—	2	2	no	—
135	C₂×C₄×C₂₉	—	2	2	no	—
136	C₂×C₄×C₂₉	—	2	1	no	—
137	C₂×C₄×C₂₉	—	2	1	no	—
138	C₂×C₄×C₂₉	—	2	1	no	—
139	C₂×C₄×C₂₉	—	2	2	no	—
140	C₂×C₄×C₂₉	—	2	2	no	—
141	C₂×C₄×C₂₉	—	2	2	no	—
142	C₂×C₄×C₂₉	—	2	2	no	—
143	C₂×C₄×C₂₉	—	2	2	no	—
144	C₂×C₄×C₂₉	—	2	2	no	—
145	C₂×C₄×C₂₉	—	2	2	no	—
146	C₂×C₄×C₂₉	—	2	1	no	—
147	C₂×C₄×C₂₉	—	2	2	no	—
148	C₂×C₄×C₂₉	—	2	2	no	—
149	C₂×C₄×C₂₉	#131	1	2	yes	—
150	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
151	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
152	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
153	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
154	C₈×C₂₉	—	4	2	no	—
155	C₈×C₂₉	—	4	2	no	—
156	C₈×C₂₉	—	4	2	no	—
157	C₈×C₂₉	—	4	2	no	—
158	#2399	C₂×C₂₉	1	1	yes	characteristic
159	#1985	C₂×C₂₉	1	1	yes	characteristic
160	#1985	C₂×C₂₉	1	2	yes	—
161	#1984	C₂×C₂₉	1	1	yes	characteristic
162	#1917	C₂×C₂₉	1	2	yes	—
163	#1917	C₂×C₂₉	1	2	yes	—
164	#1917	C₂×C₂₉	1	2	yes	—
165	#1916	C₂×C₂₉	1	2	yes	—
166	#1840	C₂×C₂₉	1	2	yes	—
167	C₂²×C₂₉	#518	1	1	yes	characteristic
168	C₂²×C₂₉	#519	1	2	yes	—
169	C₂²×C₂₉	C₂×#131	1	1	yes	characteristic
170	C₂²×C₂₉	#568	1	1	yes	characteristic
171	C₂²×C₂₉	#568	1	2	yes	—
172	C₄×C₂₉	—	2	2	no	—
173	C₄×C₂₉	—	4	2	no	—
174	C₄×C₂₉	—	4	1	no	—
175	C₄×C₂₉	—	4	1	no	—
176	C₄×C₂₉	—	4	1	no	—
177	C₄×C₂₉	—	4	1	no	—
178	C₄×C₂₉	—	4	1	no	—
179	C₄×C₂₉	—	4	2	no	—
180	C₄×C₂₉	—	4	2	no	—
181	C₄×C₂₉	—	4	2	no	—
182	C₄×C₂₉	#563	1	2	yes	—
183	C₄×C₂₉	#563	1	1	yes	characteristic
184	C₄×C₂₉	#563	1	1	yes	characteristic
185	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
186	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
187	C₂×C₄⋊C₈	C₂²×C₂₉	1	2	yes	—
188	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
189	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
190	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
191	C₂×#97	C₂²×C₂₉	1	2	yes	—
192	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
193	#398	C₄×C₂₉	1	1	yes	characteristic
194	#398	C₄×C₂₉	1	1	yes	characteristic
195	#398	C₄×C₂₉	1	2	yes	—
196	#395	C₄×C₂₉	1	2	yes	—
197	#395	C₄×C₂₉	1	1	yes	characteristic
198	#395	C₄×C₂₉	1	1	yes	characteristic
199	C₄×C₄⋊C₄	C₂²×C₂₉	1	2	yes	—
200	C₄×C₄⋊C₄	C₂²×C₂₉	1	2	yes	—
201	#376	C₂²×C₂₉	1	1	yes	characteristic
202	#336	C₂²×C₂₉	1	2	yes	—
203	#336	C₂²×C₂₉	1	2	yes	—
204	#336	C₂²×C₂₉	1	2	yes	—
205	#336	C₂²×C₂₉	1	2	yes	—
206	#336	C₂²×C₂₉	1	2	yes	—
207	#336	C₂²×C₂₉	1	2	yes	—
208	#336	C₂²×C₂₉	1	2	yes	—
209	#336	C₂²×C₂₉	1	2	yes	—
210	#336	C₂²×C₂₉	1	2	yes	—
211	#336	C₂²×C₂₉	1	2	yes	—
212	C₂×C₂₉	#2381	1	1	yes	characteristic
213	C₂×C₂₉	#2976	1	1	yes	characteristic
214	C₂×C₂₉	#2978	1	1	yes	characteristic
215	C₂×C₂₉	#2985	1	2	yes	—
216	C₂×C₂₉	#2987	1	2	yes	—
217	C₂²×Q₈	C₂×C₄×C₂₉	1	1	yes	characteristic
218	C₂²×Q₈	C₂×C₄×C₂₉	1	1	yes	characteristic
219	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
220	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
221	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
222	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
223	C₄×Q₈	—	4	1	no	—
224	C₄×Q₈	—	4	1	no	—
225	C₄×Q₈	—	4	1	no	—
226	C₄×Q₈	—	4	1	no	—
227	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
228	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	1	yes	characteristic
229	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
230	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	1	yes	characteristic
231	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	1	yes	characteristic
232	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	1	yes	characteristic
233	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
234	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
235	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	2	yes	—
236	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
238	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
239	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
240	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
241	C₄⋊C₈	—	4	2	no	—
242	C₄⋊C₈	—	4	1	no	—
243	C₄⋊C₈	—	4	1	no	—
244	#97	—	4	2	no	—
245	#97	—	4	1	no	—
246	C₄×C₈	—	4	1	no	—
247	#95	C₂×C₄×C₂₉	1	1	yes	characteristic
248	#95	C₂×C₄×C₂₉	1	2	yes	—
249	#95	C₂×C₄×C₂₉	1	1	yes	characteristic
250	#95	C₂×C₄×C₂₉	1	2	yes	—
251	#95	C₂×C₄×C₂₉	1	2	yes	—
252	#95	C₂×C₄×C₂₉	1	2	yes	—
253	#95	C₂×C₄×C₂₉	1	2	yes	—
254	C₂₉	#23368	1	1	yes	characteristic, direct product factor, Sylow
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	4	1	no	—
257	C₂×Q₈	—	4	1	no	—
258	C₂×Q₈	—	4	1	no	—
259	C₂×Q₈	—	4	2	no	—
260	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
261	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
262	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
263	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
264	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
265	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
266	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
267	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
268	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
269	C₂²×C₄	C₂²×C₄×C₂₉	1	1	yes	characteristic
270	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	4	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	4	1	no	—
283	C₄⋊C₄	—	4	1	no	—
284	C₄⋊C₄	—	4	1	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₄⋊C₄	—	4	1	no	—
287	C₄⋊C₄	—	4	2	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄²	—	2	1	no	—
291	C₄²	—	2	2	no	—
292	C₄²	—	2	1	no	—
293	C₄²	—	2	1	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	1	no	—
296	C₄²	—	2	1	no	—
297	C₄²	—	2	1	no	—
298	C₄²	—	2	2	no	—
299	C₄²	—	2	2	no	—
300	C₂³	C₂³×C₄×C₂₉	1	1	yes	characteristic
301	Q₈	—	4	4	no	—
302	Q₈	—	4	4	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	C₂₉×#131	1	2	yes	—
330	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
331	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
332	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
333	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
334	C₈	—	4	2	no	—
335	C₈	—	4	2	no	—
336	C₈	—	4	2	no	—
337	C₈	—	4	2	no	—
338	C₂²	C₂₉×#518	1	1	yes	characteristic
339	C₂²	C₂₉×#519	1	2	yes	—
340	C₂²	C₂×C₂₉×#131	1	1	yes	characteristic
341	C₂²	C₂₉×#568	1	1	yes	characteristic
342	C₂²	C₂₉×#568	1	2	yes	—
343	C₄	—	2	2	no	—
344	C₄	—	4	1	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	2	no	—
347	C₄	—	4	1	no	—
348	C₄	—	4	2	no	—
349	C₄	—	4	1	no	—
350	C₄	—	4	1	no	—
351	C₄	—	4	2	no	—
352	C₄	—	4	2	no	—
353	C₄	C₂₉×#563	1	2	yes	—
354	C₄	C₂₉×#563	1	1	yes	characteristic
355	C₄	C₂₉×#563	1	1	yes	characteristic
356	C₂	C₂₉×#2381	1	1	yes	characteristic
357	C₂	C₂₉×#2976	1	1	yes	characteristic
358	C₂	C₂₉×#2978	1	1	yes	characteristic
359	C₂	C₂₉×#2985	1	2	yes	—
360	C₂	C₂₉×#2987	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
119. #23368	C₂₉	direct (N × H)
254. C₂₉	#23368	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₉×#2399	2
C₂₉×#1985	2
C₂₉×#1984	2
C₂₉×#1917	2
C₂₉×#1916	2
C₂₉×#1840	2
#23368	29

Subgroups — C29×#23368 #20318268

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#23368 #20318268