Subgroups — C₂₉×#19959 #20314859

Order 7424.

570 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3393	C₂	1	1	yes	maximal, characteristic
2	C₂₉×#3380	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#3356	C₂	1	2	yes	maximal, complemented
4	C₂₉×#1707	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#1691	C₂	1	2	yes	maximal, complemented
6	C₂₉×#1676	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1670	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#1643	C₂	1	2	yes	maximal, complemented
9	C₂₉×#1638	C₂	1	2	yes	maximal, complemented
10	C₂₉×#1589	C₂	1	1	yes	maximal, characteristic
11	C₈×Q₁₆×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#556	C₂²	1	2	yes	—
13	C₂₉×#554	C₂²	1	2	yes	—
14	C₂₉×#500	C₂²	1	1	yes	characteristic
15	C₂₉×#499	—	2	1	no	—
16	C₂₉×#498	C₂²	1	2	yes	—
17	C₂₉×#495	—	2	1	no	—
18	C₂₉×#494	C₂²	1	1	yes	characteristic
19	C₂₉×#487	C₂²	1	2	yes	—
20	C₂₉×#485	—	2	2	no	—
21	C₂₉×#483	—	2	2	no	—
22	C₂₉×#478	—	2	2	no	—
23	C₂₉×#477	C₂²	1	2	yes	—
24	C₂₉×#476	C₂²	1	2	yes	—
25	C₂₉×#475	C₂²	1	2	yes	—
26	C₂₉×#470	—	2	2	no	—
27	C₂₉×#464	—	2	2	no	—
28	C₂₉×#461	C₂²	1	2	yes	—
29	C₈×Q₈×C₂₉	C₂²	1	1	yes	characteristic
30	C₈×Q₈×C₂₉	C₂²	1	1	yes	characteristic
31	C₄×Q₁₆×C₂₉	—	2	1	no	—
32	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
33	C₄×D₈×C₂₉	—	2	1	no	—
34	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
35	C₂₉×#436	C₂²	1	2	yes	—
36	C₂₉×#428	—	2	2	no	—
37	C₂₉×#335	C₂²	1	1	yes	characteristic
38	C₂₉×#335	C₂²	1	1	yes	characteristic
39	C₂₉×#333	C₂²	1	2	yes	—
40	C₂₉×#332	C₂²	1	2	yes	—
41	C₂₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic
42	C₂₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic
43	C₂₉×D₄⋊C₈	C₂²	1	2	yes	—
44	C₈²×C₂₉	C₂²	1	1	yes	characteristic
45	C₂×Q₁₆×C₂₉	—	2	1	no	—
46	C₂×Q₁₆×C₂₉	—	2	1	no	—
47	C₂×Q₁₆×C₂₉	D₄	1	1	yes	characteristic
48	C₂×SD₁₆×C₂₉	—	2	2	no	—
49	C₂×D₈×C₂₉	D₄	1	1	yes	characteristic
50	C₂×M₁₆×C₂₉	—	2	2	no	—
51	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
52	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
53	C₂₉×#126	—	4	2	no	—
54	C₂₉×#125	—	2	2	no	—
55	C₂₉×#124	—	2	2	no	—
56	C₂₉×C₂²⋊Q₈	—	2	2	no	—
57	C₂₉×C₂²⋊Q₈	—	2	2	no	—
58	C₂₉×C₂²⋊Q₈	—	4	2	no	—
59	C₄×Q₈×C₂₉	—	2	2	no	—
60	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
61	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
62	C₄×D₄×C₂₉	—	2	2	no	—
63	C₄×D₄×C₂₉	C₂³	1	2	yes	—
64	C₂₉×#117	—	2	2	no	—
65	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
66	C₂₉×#107	—	2	1	no	—
67	C₂₉×#107	—	2	1	no	—
68	C₂₉×#107	—	2	2	no	—
69	C₂₉×#107	D₄	1	1	yes	characteristic
70	C₂₉×#107	D₄	1	1	yes	characteristic
71	C₂₉×#106	—	2	2	no	—
72	C₂₉×#106	—	2	2	no	—
73	C₂₉×#106	—	2	2	no	—
74	C₂₉×#106	—	2	2	no	—
75	C₂₉×C₄⋊C₈	—	2	1	no	—
76	C₂₉×C₄⋊C₈	—	2	1	no	—
77	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
78	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
79	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
80	C₂₉×#103	—	2	2	no	—
81	C₂₉×#103	—	2	2	no	—
82	C₂₉×#103	—	2	2	no	—
83	C₂₉×#103	—	4	2	no	—
84	C₂₉×#103	D₄	1	1	yes	characteristic
85	C₂₉×#103	D₄	1	1	yes	characteristic
86	C₂₉×#102	—	2	2	no	—
87	C₂₉×#102	D₄	1	2	yes	—
88	C₂₉×C₂²⋊C₈	—	2	2	no	—
89	C₄×C₈×C₂₉	—	2	1	no	—
90	C₄×C₈×C₂₉	—	2	1	no	—
91	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
94	C₂×Q₈×C₂₉	—	2	2	no	—
95	C₂×Q₈×C₂₉	—	2	2	no	—
96	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
97	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
98	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
99	C₂²×C₄×C₂₉	—	2	2	no	—
100	C₂²×C₄×C₂₉	—	4	2	no	—
101	Q₁₆×C₂₉	—	2	2	no	—
102	Q₁₆×C₂₉	—	4	2	no	—
103	Q₁₆×C₂₉	—	8	1	no	—
104	SD₁₆×C₂₉	—	8	2	no	—
105	D₈×C₂₉	—	2	2	no	—
106	M₁₆×C₂₉	—	4	4	no	—
107	C₂×C₈×C₂₉	—	2	2	no	—
108	C₂×C₈×C₂₉	—	2	1	no	—
109	C₂×C₈×C₂₉	—	2	1	no	—
110	C₂×C₈×C₂₉	—	2	1	no	—
111	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
115	C₄⋊C₄×C₂₉	—	2	1	no	—
116	C₄⋊C₄×C₂₉	—	2	1	no	—
117	C₄⋊C₄×C₂₉	—	2	2	no	—
118	C₄⋊C₄×C₂₉	—	2	2	no	—
119	C₄⋊C₄×C₂₉	—	2	2	no	—
120	C₄⋊C₄×C₂₉	—	2	2	no	—
121	C₄⋊C₄×C₂₉	—	4	2	no	—
122	C₄⋊C₄×C₂₉	—	4	2	no	—
123	C₄⋊C₄×C₂₉	—	4	2	no	—
124	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
125	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
126	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
127	C₂²⋊C₄×C₂₉	—	2	2	no	—
128	C₂²⋊C₄×C₂₉	—	4	2	no	—
129	C₂²⋊C₄×C₂₉	—	4	2	no	—
130	C₂²⋊C₄×C₂₉	—	4	2	no	—
131	C₄²×C₂₉	—	2	1	no	—
132	C₄²×C₂₉	—	2	1	no	—
133	C₄²×C₂₉	—	4	2	no	—
134	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
135	#19959	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂³×C₂₉	—	2	2	no	—
137	Q₈×C₂₉	—	2	1	no	—
138	Q₈×C₂₉	—	2	1	no	—
139	Q₈×C₂₉	—	2	1	no	—
140	Q₈×C₂₉	—	2	1	no	—
141	Q₈×C₂₉	—	4	2	no	—
142	Q₈×C₂₉	—	4	2	no	—
143	Q₈×C₂₉	—	8	2	no	—
144	D₄×C₂₉	—	2	2	no	—
145	D₄×C₂₉	—	2	2	no	—
146	C₂×C₄×C₂₉	—	2	1	no	—
147	C₂×C₄×C₂₉	—	2	1	no	—
148	C₂×C₄×C₂₉	—	2	1	no	—
149	C₂×C₄×C₂₉	—	2	1	no	—
150	C₂×C₄×C₂₉	—	2	2	no	—
151	C₂×C₄×C₂₉	—	4	2	no	—
152	C₂×C₄×C₂₉	—	4	2	no	—
153	C₂×C₄×C₂₉	—	4	2	no	—
154	C₂×C₄×C₂₉	—	4	2	no	—
155	C₂×C₄×C₂₉	—	16	2	no	—
156	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
157	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
159	C₈×C₂₉	—	2	1	no	—
160	C₈×C₂₉	—	2	1	no	—
161	C₈×C₂₉	—	4	1	no	—
162	C₈×C₂₉	—	4	2	no	—
163	C₈×C₂₉	—	4	1	no	—
164	C₈×C₂₉	—	4	1	no	—
165	C₈×C₂₉	#135	1	2	yes	—
166	C₈×C₂₉	#137	1	2	yes	—
167	#3393	C₂×C₂₉	1	1	yes	characteristic
168	#3380	C₂×C₂₉	1	1	yes	characteristic
169	#3356	C₂×C₂₉	1	2	yes	complemented
170	#1707	C₂×C₂₉	1	1	yes	characteristic, complemented
171	#1691	C₂×C₂₉	1	2	yes	complemented
172	#1676	C₂×C₂₉	1	1	yes	characteristic, complemented
173	#1670	C₂×C₂₉	1	1	yes	characteristic, complemented
174	#1643	C₂×C₂₉	1	2	yes	complemented
175	#1638	C₂×C₂₉	1	2	yes	complemented
176	#1589	C₂×C₂₉	1	1	yes	characteristic
177	C₈×Q₁₆	C₂×C₂₉	1	1	yes	characteristic, complemented
178	C₂²×C₂₉	—	4	2	no	—
179	C₂²×C₂₉	—	4	2	no	—
180	C₂²×C₂₉	—	4	2	no	—
181	C₂²×C₂₉	D₄²	1	1	yes	characteristic
182	C₄×C₂₉	—	2	1	no	—
183	C₄×C₂₉	—	4	2	no	—
184	C₄×C₂₉	—	4	1	no	—
185	C₄×C₂₉	—	4	1	no	—
186	C₄×C₂₉	—	4	1	no	—
187	C₄×C₂₉	—	4	1	no	—
188	C₄×C₂₉	—	8	2	no	—
189	C₄×C₂₉	—	8	2	no	—
190	C₄×C₂₉	C₂×#135	1	1	yes	characteristic
191	C₄×C₂₉	C₂×#137	1	1	yes	characteristic
192	C₄×C₂₉	#577	1	1	yes	characteristic
193	C₄×C₂₉	#578	1	1	yes	characteristic
194	#556	C₂²×C₂₉	1	2	yes	—
195	#554	C₂²×C₂₉	1	2	yes	—
196	#500	C₂²×C₂₉	1	1	yes	characteristic
197	#499	—	2	1	no	—
198	#498	C₂²×C₂₉	1	2	yes	—
199	#495	—	2	1	no	—
200	#494	C₂²×C₂₉	1	1	yes	characteristic
201	#487	C₂²×C₂₉	1	2	yes	—
202	#485	—	2	2	no	—
203	#483	—	2	2	no	—
204	#478	—	2	2	no	—
205	#477	C₂²×C₂₉	1	2	yes	—
206	#476	C₂²×C₂₉	1	2	yes	—
207	#475	C₂²×C₂₉	1	2	yes	—
208	#470	—	2	2	no	—
209	#464	—	2	2	no	—
210	#461	C₂²×C₂₉	1	2	yes	—
211	C₈×Q₈	C₂²×C₂₉	1	1	yes	characteristic
212	C₈×Q₈	C₂²×C₂₉	1	1	yes	characteristic
213	C₄×Q₁₆	—	2	1	no	—
214	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
215	C₄×D₈	—	2	1	no	—
216	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
217	#436	C₂²×C₂₉	1	2	yes	—
218	#428	—	2	2	no	—
219	#335	C₂²×C₂₉	1	1	yes	characteristic
220	#335	C₂²×C₂₉	1	1	yes	characteristic
221	#333	C₂²×C₂₉	1	2	yes	—
222	#332	C₂²×C₂₉	1	2	yes	—
223	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
224	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
225	D₄⋊C₈	C₂²×C₂₉	1	2	yes	—
226	C₈²	C₂²×C₂₉	1	1	yes	characteristic
227	C₂×C₂₉	—	8	2	no	—
228	C₂×C₂₉	#3278	1	1	yes	characteristic
229	C₂×C₂₉	#3283	1	1	yes	characteristic
230	C₂×C₂₉	#3290	1	1	yes	characteristic
231	C₂×Q₁₆	—	2	1	no	—
232	C₂×Q₁₆	—	2	1	no	—
233	C₂×Q₁₆	D₄×C₂₉	1	1	yes	characteristic
234	C₂×SD₁₆	—	2	2	no	—
235	C₂×D₈	D₄×C₂₉	1	1	yes	characteristic
236	C₂×M₁₆	—	2	2	no	—
237	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
238	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
239	#126	—	4	2	no	—
240	#125	—	2	2	no	—
241	#124	—	2	2	no	—
242	C₂²⋊Q₈	—	2	2	no	—
243	C₂²⋊Q₈	—	2	2	no	—
244	C₂²⋊Q₈	—	4	2	no	—
245	C₄×Q₈	—	2	2	no	—
246	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
247	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
248	C₄×D₄	—	2	2	no	—
249	C₄×D₄	C₂³×C₂₉	1	2	yes	—
250	#117	—	2	2	no	—
251	C₂×C₄⋊C₄	—	2	2	no	—
252	#107	—	2	1	no	—
253	#107	—	2	1	no	—
254	#107	—	2	2	no	—
255	#107	D₄×C₂₉	1	1	yes	characteristic
256	#107	D₄×C₂₉	1	1	yes	characteristic
257	#106	—	2	2	no	—
258	#106	—	2	2	no	—
259	#106	—	2	2	no	—
260	#106	—	2	2	no	—
261	C₄⋊C₈	—	2	1	no	—
262	C₄⋊C₈	—	2	1	no	—
263	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
264	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
265	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
266	#103	—	2	2	no	—
267	#103	—	2	2	no	—
268	#103	—	2	2	no	—
269	#103	—	4	2	no	—
270	#103	D₄×C₂₉	1	1	yes	characteristic
271	#103	D₄×C₂₉	1	1	yes	characteristic
272	#102	—	2	2	no	—
273	#102	D₄×C₂₉	1	2	yes	—
274	C₂²⋊C₈	—	2	2	no	—
275	C₄×C₈	—	2	1	no	—
276	C₄×C₈	—	2	1	no	—
277	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
278	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
279	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
280	C₂₉	#19959	1	1	yes	characteristic, direct product factor, Sylow
281	C₂×Q₈	—	2	2	no	—
282	C₂×Q₈	—	2	2	no	—
283	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
284	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
285	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	4	2	no	—
288	Q₁₆	—	2	2	no	—
289	Q₁₆	—	4	2	no	—
290	Q₁₆	—	8	1	no	—
291	SD₁₆	—	8	2	no	—
292	D₈	—	2	2	no	—
293	M₁₆	—	4	4	no	—
294	C₂×C₈	—	2	1	no	—
295	C₂×C₈	—	2	1	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	1	no	—
298	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
299	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
300	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
301	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	4	2	no	—
309	C₄⋊C₄	—	4	2	no	—
310	C₄⋊C₄	—	4	2	no	—
311	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
312	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
313	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
314	C₂²⋊C₄	—	2	2	no	—
315	C₂²⋊C₄	—	4	2	no	—
316	C₂²⋊C₄	—	4	2	no	—
317	C₂²⋊C₄	—	4	2	no	—
318	C₄²	—	2	1	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	4	2	no	—
321	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
322	C₂³	—	2	2	no	—
323	Q₈	—	2	1	no	—
324	Q₈	—	2	1	no	—
325	Q₈	—	2	1	no	—
326	Q₈	—	2	1	no	—
327	Q₈	—	4	2	no	—
328	Q₈	—	4	2	no	—
329	Q₈	—	8	2	no	—
330	D₄	—	2	2	no	—
331	D₄	—	2	2	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	16	2	no	—
342	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
343	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
344	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
345	C₈	—	2	1	no	—
346	C₈	—	2	1	no	—
347	C₈	—	4	1	no	—
348	C₈	—	4	2	no	—
349	C₈	—	4	1	no	—
350	C₈	—	4	1	no	—
351	C₈	C₂₉×#135	1	2	yes	—
352	C₈	C₂₉×#137	1	2	yes	—
353	C₂²	—	4	2	no	—
354	C₂²	—	4	2	no	—
355	C₂²	—	4	2	no	—
356	C₂²	D₄²×C₂₉	1	1	yes	characteristic
357	C₄	—	2	1	no	—
358	C₄	—	4	2	no	—
359	C₄	—	4	1	no	—
360	C₄	—	4	1	no	—
361	C₄	—	4	1	no	—
362	C₄	—	4	1	no	—
363	C₄	—	8	2	no	—
364	C₄	—	8	2	no	—
365	C₄	C₂×C₂₉×#135	1	1	yes	characteristic
366	C₄	C₂×C₂₉×#137	1	1	yes	characteristic
367	C₄	C₂₉×#577	1	1	yes	characteristic
368	C₄	C₂₉×#578	1	1	yes	characteristic
369	C₂	—	8	2	no	—
370	C₂	C₂₉×#3278	1	1	yes	characteristic
371	C₂	C₂₉×#3283	1	1	yes	characteristic
372	C₂	C₂₉×#3290	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	D₄²
commutator, Frattini, cosocle	C₄²	C₂⁴×C₂₉
prime radical	C₂×D₈×C₂₉	D₄
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₄²×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂₉×#3356	C₂	semidirect
4. C₂₉×#1707	C₂	semidirect
5. C₂₉×#1691	C₂	semidirect
6. C₂₉×#1676	C₂	semidirect
7. C₂₉×#1670	C₂	semidirect
8. C₂₉×#1643	C₂	semidirect
9. C₂₉×#1638	C₂	semidirect
11. C₈×Q₁₆×C₂₉	C₂	semidirect
135. #19959	C₂₉	direct (N × H)
169. #3356	C₂×C₂₉	semidirect
170. #1707	C₂×C₂₉	semidirect
171. #1691	C₂×C₂₉	semidirect
172. #1676	C₂×C₂₉	semidirect
173. #1670	C₂×C₂₉	semidirect
174. #1643	C₂×C₂₉	semidirect
175. #1638	C₂×C₂₉	semidirect
177. C₈×Q₁₆	C₂×C₂₉	semidirect
280. C₂₉	#19959	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×#3393	2
C₂₉×#3380	2
C₂₉×#3356	2
C₂₉×#1707	2
C₂₉×#1691	2
C₂₉×#1676	2
C₂₉×#1670	2
C₂₉×#1643	2
C₂₉×#1638	2
C₂₉×#1589	2
C₈×Q₁₆×C₂₉	2
#19959	29

Subgroups — C29×#19959 #20314859

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#19959 #20314859