Subgroups — C₂₉×#25443 #20320343

Order 7424.

910 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3154	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₉×#471	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3063	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3062	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3061	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₂₉×#444	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#2038	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#2037	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#2007	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#2006	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#1973	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#1952	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#1908	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#1907	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#1765	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
17	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
18	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
20	C₂×C₂₉×#135	C₂²	1	1	yes	characteristic
21	C₂²×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
22	C₂×C₂₉×#131	C₂²	1	1	yes	characteristic
23	C₂×C₂₉×#131	C₂²	1	1	yes	characteristic
24	C₂×C₂₉×#131	C₂²	1	1	yes	characteristic
25	C₂₉×#537	C₂²	1	1	yes	characteristic
26	C₂₉×#537	C₂²	1	1	yes	characteristic
27	C₂₉×#536	C₂²	1	1	yes	characteristic
28	C₂₉×#535	C₂²	1	1	yes	characteristic
29	C₂₉×#497	—	2	1	no	—
30	C₂₉×#496	—	2	1	no	—
31	C₂₉×#495	—	2	1	no	—
32	C₂₉×#492	—	2	1	no	—
33	C₂₉×#471	—	2	4	no	—
34	C₂₉×#470	—	2	1	no	—
35	C₂₉×#469	—	2	1	no	—
36	C₂₉×#468	—	2	1	no	—
37	C₂₉×#468	—	2	1	no	—
38	C₂₉×#468	—	2	1	no	—
39	C₂₉×#468	—	2	1	no	—
40	C₂₉×#467	—	2	1	no	—
41	C₂₉×#467	—	2	1	no	—
42	C₂₉×#466	—	2	1	no	—
43	C₂₉×#466	—	2	1	no	—
44	C₂₉×#465	—	2	1	no	—
45	C₂₉×#465	—	2	1	no	—
46	C₂₉×#444	—	2	4	no	—
47	C₂×C₂₉×#108	C₂²	1	1	yes	characteristic
48	C₂₉×#428	C₂²	1	1	yes	characteristic
49	C₂₉×#428	C₂²	1	1	yes	characteristic
50	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
51	C₂×C₂₉×#104	C₂²	1	1	yes	characteristic
52	C₂×C₂₉×#104	C₂²	1	1	yes	characteristic
53	C₂×C₂₉×#104	C₂²	1	1	yes	characteristic
54	C₂₉×#417	C₂²	1	1	yes	characteristic
55	C₂₉×#417	C₂²	1	1	yes	characteristic
56	C₂₉×#416	C₂²	1	1	yes	characteristic
57	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
58	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
59	C₂×C₂₉×#101	C₂²	1	1	yes	characteristic
60	C₂×C₂₉×#100	C₂²	1	1	yes	characteristic
61	C₂₉×#405	C₂²	1	1	yes	characteristic
62	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
63	C₂₉×#391	C₂²	1	1	yes	characteristic
64	C₂₉×#390	C₂²	1	1	yes	characteristic
65	C₂₉×#343	C₂²	1	1	yes	characteristic
66	C₂₉×#343	C₂²	1	1	yes	characteristic
67	C₂₉×#341	C₂²	1	1	yes	characteristic
68	C₂₉×#339	C₂²	1	1	yes	characteristic
69	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
70	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
71	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
72	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
74	C₂₉×#137	—	2	2	no	—
75	C₂₉×#137	—	2	2	no	—
76	C₂₉×#137	—	4	1	no	—
77	C₂₉×#137	—	4	1	no	—
78	C₂₉×AGL(1,ℤ/8)	—	2	2	no	—
79	C₂₉×AGL(1,ℤ/8)	—	2	2	no	—
80	C₂₉×AGL(1,ℤ/8)	—	4	1	no	—
81	C₂₉×AGL(1,ℤ/8)	—	4	1	no	—
82	C₂₉×#135	—	2	2	no	—
83	C₂₉×#135	—	2	2	no	—
84	C₂×Q₁₆×C₂₉	—	2	1	no	—
85	C₂×Q₁₆×C₂₉	—	2	1	no	—
86	C₂×Q₁₆×C₂₉	D₄	1	1	yes	characteristic
87	C₂×SD₁₆×C₂₉	—	2	1	no	—
88	C₂×SD₁₆×C₂₉	—	2	1	no	—
89	C₂×SD₁₆×C₂₉	—	2	1	no	—
90	C₂×SD₁₆×C₂₉	—	2	1	no	—
91	C₂×SD₁₆×C₂₉	—	2	2	no	—
92	C₂×SD₁₆×C₂₉	—	2	1	no	—
93	C₂×SD₁₆×C₂₉	—	2	1	no	—
94	C₂×SD₁₆×C₂₉	—	2	2	no	—
95	C₂×SD₁₆×C₂₉	D₄	1	1	yes	characteristic
96	C₂×SD₁₆×C₂₉	D₄	1	1	yes	characteristic
97	C₂×D₈×C₂₉	—	2	1	no	—
98	C₂×D₈×C₂₉	—	2	1	no	—
99	C₂×D₈×C₂₉	D₄	1	1	yes	characteristic
100	C₂₉×#131	—	2	2	no	—
101	C₂₉×#131	—	2	2	no	—
102	C₂₉×#131	—	2	2	no	—
103	C₂₉×#131	—	2	2	no	—
104	C₂₉×#131	—	4	1	no	—
105	C₂₉×#131	—	4	1	no	—
106	C₂×M₁₆×C₂₉	—	2	1	no	—
107	C₂×M₁₆×C₂₉	—	2	1	no	—
108	C₂×M₁₆×C₂₉	—	2	1	no	—
109	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
110	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
111	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
112	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
113	C₂²×C₈×C₂₉	—	2	1	no	—
114	C₂²×C₈×C₂₉	—	2	1	no	—
115	C₂²×C₈×C₂₉	—	2	1	no	—
116	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
117	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
118	C₂₉×C₄⋊Q₈	—	2	1	no	—
119	C₂₉×#127	—	2	1	no	—
120	C₂₉×#124	—	2	1	no	—
121	C₂₉×#124	—	2	1	no	—
122	C₂₉×#123	—	4	1	no	—
123	C₂₉×C₂²⋊Q₈	—	2	1	no	—
124	C₂₉×C₂²⋊Q₈	—	2	1	no	—
125	C₂₉×C₂²⋊Q₈	—	2	1	no	—
126	C₂₉×C₂²⋊Q₈	—	2	1	no	—
127	C₂₉×C₂²⋊Q₈	—	2	1	no	—
128	C₂₉×C₂²⋊Q₈	—	2	1	no	—
129	C₂₉×#121	—	2	1	no	—
130	C₂₉×#121	—	2	1	no	—
131	C₂₉×#121	—	2	1	no	—
132	C₂₉×#121	—	2	1	no	—
133	C₂₉×#121	—	2	1	no	—
134	C₂₉×#121	—	2	1	no	—
135	C₂₉×#121	—	4	1	no	—
136	C₂₉×#121	—	4	1	no	—
137	C₂₉×#120	—	4	1	no	—
138	C₂₉×#117	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
140	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
141	C₂×C₂²⋊C₄×C₂₉	—	4	1	no	—
142	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
143	C₂₉×#108	D₄	1	4	yes	complemented
144	C₂₉×#107	—	2	1	no	—
145	C₂₉×#107	—	2	1	no	—
146	C₂₉×#107	—	2	1	no	—
147	C₂₉×#107	—	2	1	no	—
148	C₂₉×#106	—	2	1	no	—
149	C₂₉×#106	—	2	1	no	—
150	C₂₉×#104	—	2	2	no	—
151	C₂₉×#104	—	2	2	no	—
152	C₂₉×#104	—	2	2	no	—
153	C₂₉×#103	—	2	1	no	—
154	C₂₉×#103	—	2	1	no	—
155	C₂₉×#103	—	2	1	no	—
156	C₂₉×#103	—	2	1	no	—
157	C₂₉×#103	D₄	1	1	yes	characteristic
158	C₂₉×#103	D₄	1	1	yes	characteristic
159	C₂₉×#102	—	2	1	no	—
160	C₂₉×#102	—	2	1	no	—
161	C₂₉×#102	—	2	1	no	—
162	C₂₉×#102	—	2	1	no	—
163	C₂₉×#102	D₄	1	1	yes	characteristic
164	C₂₉×#102	D₄	1	1	yes	characteristic
165	C₂₉×#101	—	2	2	no	—
166	C₂₉×#100	—	2	2	no	—
167	C₂₉×#97	—	2	2	no	—
168	C₂₉×#97	—	2	1	no	—
169	C₄×C₈×C₂₉	—	2	1	no	—
170	C₂₉×#95	—	4	1	no	—
171	C₂⁴×C₂₉	—	2	1	no	—
172	#41×C₂₉	—	2	1	no	—
173	#41×C₂₉	—	2	1	no	—
174	#41×C₂₉	—	2	1	no	—
175	#41×C₂₉	—	2	1	no	—
176	#41×C₂₉	—	2	1	no	—
177	#41×C₂₉	—	2	1	no	—
178	#41×C₂₉	—	2	1	no	—
179	#41×C₂₉	—	2	1	no	—
180	#41×C₂₉	—	2	1	no	—
181	#41×C₂₉	—	2	1	no	—
182	#41×C₂₉	—	2	1	no	—
183	#41×C₂₉	—	2	1	no	—
184	C₂×Q₈×C₂₉	—	2	1	no	—
185	C₂×Q₈×C₂₉	—	2	1	no	—
186	C₂×Q₈×C₂₉	—	2	1	no	—
187	C₂×Q₈×C₂₉	—	2	1	no	—
188	C₂×Q₈×C₂₉	—	2	1	no	—
189	C₂×Q₈×C₂₉	—	2	1	no	—
190	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
191	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
192	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
193	C₂×D₄×C₂₉	—	2	1	no	—
194	C₂×D₄×C₂₉	—	2	1	no	—
195	C₂×D₄×C₂₉	—	2	1	no	—
196	C₂×D₄×C₂₉	—	2	1	no	—
197	C₂×D₄×C₂₉	—	2	1	no	—
198	C₂×D₄×C₂₉	—	2	1	no	—
199	C₂×D₄×C₂₉	—	2	1	no	—
200	C₂×D₄×C₂₉	—	2	1	no	—
201	C₂×D₄×C₂₉	—	2	1	no	—
202	C₂×D₄×C₂₉	—	4	1	no	—
203	C₂×D₄×C₂₉	—	4	1	no	—
204	C₂×D₄×C₂₉	—	4	1	no	—
205	C₂×D₄×C₂₉	—	4	1	no	—
206	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
207	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
208	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₂₉	—	2	1	no	—
210	C₂²×C₄×C₂₉	—	2	1	no	—
211	C₂²×C₄×C₂₉	—	2	1	no	—
212	C₂²×C₄×C₂₉	—	2	1	no	—
213	C₂²×C₄×C₂₉	—	2	1	no	—
214	C₂²×C₄×C₂₉	—	2	1	no	—
215	C₂²×C₄×C₂₉	—	2	1	no	—
216	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
217	Q₁₆×C₂₉	—	2	2	no	—
218	Q₁₆×C₂₉	—	4	2	no	—
219	Q₁₆×C₂₉	—	4	2	no	—
220	SD₁₆×C₂₉	—	2	2	no	—
221	SD₁₆×C₂₉	—	2	2	no	—
222	SD₁₆×C₂₉	—	4	2	no	—
223	SD₁₆×C₂₉	—	4	2	no	—
224	SD₁₆×C₂₉	—	4	2	no	—
225	SD₁₆×C₂₉	—	4	2	no	—
226	SD₁₆×C₂₉	—	4	2	no	—
227	SD₁₆×C₂₉	—	4	2	no	—
228	D₈×C₂₉	—	2	2	no	—
229	D₈×C₂₉	—	4	2	no	—
230	D₈×C₂₉	—	4	2	no	—
231	M₁₆×C₂₉	—	2	1	no	—
232	M₁₆×C₂₉	—	2	1	no	—
233	M₁₆×C₂₉	—	2	1	no	—
234	M₁₆×C₂₉	—	2	1	no	—
235	M₁₆×C₂₉	—	2	1	no	—
236	M₁₆×C₂₉	—	4	2	no	—
237	M₁₆×C₂₉	—	4	2	no	—
238	M₁₆×C₂₉	—	4	2	no	—
239	M₁₆×C₂₉	C₂×D₄	1	2	yes	—
240	M₁₆×C₂₉	C₂×D₄	1	2	yes	—
241	M₁₆×C₂₉	#41	1	2	yes	—
242	C₂×C₈×C₂₉	—	2	1	no	—
243	C₂×C₈×C₂₉	—	2	1	no	—
244	C₂×C₈×C₂₉	—	2	1	no	—
245	C₂×C₈×C₂₉	—	2	1	no	—
246	C₂×C₈×C₂₉	—	2	1	no	—
247	C₂×C₈×C₂₉	—	2	1	no	—
248	C₂×C₈×C₂₉	—	4	2	no	—
249	C₂×C₈×C₂₉	—	4	2	no	—
250	C₂×C₈×C₂₉	—	4	2	no	—
251	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
252	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
253	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
254	C₂×C₈×C₂₉	C₂×D₄	1	1	yes	characteristic
255	C₂×C₈×C₂₉	C₂×D₄	1	2	yes	—
256	C₂×C₈×C₂₉	#41	1	2	yes	—
257	C₄⋊C₄×C₂₉	—	2	1	no	—
258	C₄⋊C₄×C₂₉	—	2	1	no	—
259	C₄⋊C₄×C₂₉	—	2	1	no	—
260	C₄⋊C₄×C₂₉	—	2	1	no	—
261	C₄⋊C₄×C₂₉	—	4	1	no	—
262	C₄⋊C₄×C₂₉	—	4	1	no	—
263	C₄⋊C₄×C₂₉	—	4	1	no	—
264	C₄⋊C₄×C₂₉	—	4	1	no	—
265	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
266	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
267	C₂²⋊C₄×C₂₉	—	2	1	no	—
268	C₂²⋊C₄×C₂₉	—	4	1	no	—
269	C₂²⋊C₄×C₂₉	—	4	1	no	—
270	C₂²⋊C₄×C₂₉	—	4	1	no	—
271	C₂²⋊C₄×C₂₉	—	4	1	no	—
272	C₂²⋊C₄×C₂₉	—	4	1	no	—
273	C₂²⋊C₄×C₂₉	—	4	1	no	—
274	C₂²⋊C₄×C₂₉	—	4	1	no	—
275	C₂²⋊C₄×C₂₉	—	4	1	no	—
276	C₂²⋊C₄×C₂₉	—	8	2	no	—
277	C₄²×C₂₉	—	2	1	no	—
278	C₄²×C₂₉	—	2	1	no	—
279	C₄²×C₂₉	—	2	1	no	—
280	#25443	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂³×C₂₉	—	2	1	no	—
282	C₂³×C₂₉	—	2	1	no	—
283	C₂³×C₂₉	—	2	1	no	—
284	C₂³×C₂₉	—	4	1	no	—
285	C₂³×C₂₉	—	4	1	no	—
286	C₂³×C₂₉	—	4	1	no	—
287	C₂³×C₂₉	—	8	1	no	—
288	C₂³×C₂₉	—	8	1	no	—
289	C₂³×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
290	Q₈×C₂₉	—	2	1	no	—
291	Q₈×C₂₉	—	2	1	no	—
292	Q₈×C₂₉	—	2	1	no	—
293	Q₈×C₂₉	—	2	1	no	—
294	Q₈×C₂₉	—	2	1	no	—
295	Q₈×C₂₉	—	2	1	no	—
296	Q₈×C₂₉	—	4	1	no	—
297	Q₈×C₂₉	—	4	1	no	—
298	Q₈×C₂₉	—	4	1	no	—
299	Q₈×C₂₉	—	4	1	no	—
300	D₄×C₂₉	—	2	1	no	—
301	D₄×C₂₉	—	2	1	no	—
302	D₄×C₂₉	—	2	1	no	—
303	D₄×C₂₉	—	2	1	no	—
304	D₄×C₂₉	—	2	1	no	—
305	D₄×C₂₉	—	2	1	no	—
306	D₄×C₂₉	—	4	1	no	—
307	D₄×C₂₉	—	4	1	no	—
308	D₄×C₂₉	—	4	1	no	—
309	D₄×C₂₉	—	4	1	no	—
310	D₄×C₂₉	—	4	1	no	—
311	D₄×C₂₉	—	4	1	no	—
312	D₄×C₂₉	—	4	1	no	—
313	D₄×C₂₉	—	4	1	no	—
314	D₄×C₂₉	—	4	1	no	—
315	D₄×C₂₉	—	4	1	no	—
316	D₄×C₂₉	—	16	1	no	—
317	D₄×C₂₉	—	16	1	no	—
318	D₄×C₂₉	—	16	1	no	—
319	D₄×C₂₉	—	16	1	no	—
320	C₂×C₄×C₂₉	—	2	1	no	—
321	C₂×C₄×C₂₉	—	2	1	no	—
322	C₂×C₄×C₂₉	—	2	1	no	—
323	C₂×C₄×C₂₉	—	2	1	no	—
324	C₂×C₄×C₂₉	—	2	1	no	—
325	C₂×C₄×C₂₉	—	4	1	no	—
326	C₂×C₄×C₂₉	—	4	1	no	—
327	C₂×C₄×C₂₉	—	4	1	no	—
328	C₂×C₄×C₂₉	—	4	1	no	—
329	C₂×C₄×C₂₉	—	4	1	no	—
330	C₂×C₄×C₂₉	—	4	1	no	—
331	C₂×C₄×C₂₉	—	4	1	no	—
332	C₂×C₄×C₂₉	—	4	1	no	—
333	C₂×C₄×C₂₉	—	4	1	no	—
334	C₂×C₄×C₂₉	—	4	1	no	—
335	C₂×C₄×C₂₉	—	4	1	no	—
336	C₂×C₄×C₂₉	—	4	1	no	—
337	C₂×C₄×C₂₉	—	4	1	no	—
338	C₂×C₄×C₂₉	—	4	1	no	—
339	C₂×C₄×C₂₉	—	8	1	no	—
340	C₂×C₄×C₂₉	—	8	1	no	—
341	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
343	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
345	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
346	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
347	C₈×C₂₉	—	2	1	no	—
348	C₈×C₂₉	—	2	1	no	—
349	C₈×C₂₉	—	2	2	no	—
350	C₈×C₂₉	—	2	2	no	—
351	C₈×C₂₉	—	2	2	no	—
352	C₈×C₂₉	—	4	1	no	—
353	C₈×C₂₉	#121	1	2	yes	—
354	C₈×C₂₉	#121	1	2	yes	—
355	#3154	C₂×C₂₉	1	1	yes	characteristic, complemented
356	C₂×#471	C₂×C₂₉	1	1	yes	characteristic, complemented
357	#3063	C₂×C₂₉	1	1	yes	characteristic, complemented
358	#3062	C₂×C₂₉	1	1	yes	characteristic, complemented
359	#3061	C₂×C₂₉	1	1	yes	characteristic, complemented
360	C₂×#444	C₂×C₂₉	1	1	yes	characteristic, complemented
361	#2038	C₂×C₂₉	1	1	yes	characteristic, complemented
362	#2037	C₂×C₂₉	1	1	yes	characteristic, complemented
363	#2007	C₂×C₂₉	1	1	yes	characteristic, complemented
364	#2006	C₂×C₂₉	1	1	yes	characteristic, complemented
365	#1973	C₂×C₂₉	1	1	yes	characteristic, complemented
366	#1952	C₂×C₂₉	1	1	yes	characteristic, complemented
367	#1908	C₂×C₂₉	1	1	yes	characteristic, complemented
368	#1907	C₂×C₂₉	1	1	yes	characteristic, complemented
369	#1765	C₂×C₂₉	1	1	yes	characteristic, complemented
370	C₂²×C₂₉	—	2	1	no	—
371	C₂²×C₂₉	—	2	1	no	—
372	C₂²×C₂₉	—	4	1	no	—
373	C₂²×C₂₉	—	4	1	no	—
374	C₂²×C₂₉	—	4	1	no	—
375	C₂²×C₂₉	—	4	1	no	—
376	C₂²×C₂₉	—	4	1	no	—
377	C₂²×C₂₉	—	4	1	no	—
378	C₂²×C₂₉	—	4	1	no	—
379	C₂²×C₂₉	—	4	1	no	—
380	C₂²×C₂₉	—	4	1	no	—
381	C₂²×C₂₉	—	8	2	no	—
382	C₂²×C₂₉	—	8	1	no	—
383	C₂²×C₂₉	—	8	1	no	—
384	C₂²×C₂₉	—	8	1	no	—
385	C₂²×C₂₉	—	16	1	no	—
386	C₂²×C₂₉	#540	1	1	yes	characteristic
387	C₂²×C₂₉	D₄²	1	1	yes	characteristic
388	C₂²×C₂₉	#550	1	1	yes	characteristic
389	C₄×C₂₉	—	4	1	no	—
390	C₄×C₂₉	—	4	1	no	—
391	C₄×C₂₉	—	4	1	no	—
392	C₄×C₂₉	—	4	1	no	—
393	C₄×C₂₉	—	4	1	no	—
394	C₄×C₂₉	—	8	1	no	—
395	C₄×C₂₉	—	8	1	no	—
396	C₄×C₂₉	—	8	1	no	—
397	C₄×C₂₉	—	8	1	no	—
398	C₄×C₂₉	C₂×#121	1	1	yes	characteristic
399	C₄×C₂₉	#532	1	1	yes	characteristic
400	C₄×C₂₉	D₄²	1	1	yes	characteristic
401	C₄×C₂₉	#546	1	1	yes	characteristic
402	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
403	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
404	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
405	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
406	C₂×#135	C₂²×C₂₉	1	1	yes	characteristic
407	C₂²×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
408	C₂×#131	C₂²×C₂₉	1	1	yes	characteristic
409	C₂×#131	C₂²×C₂₉	1	1	yes	characteristic
410	C₂×#131	C₂²×C₂₉	1	1	yes	characteristic
411	#537	C₂²×C₂₉	1	1	yes	characteristic
412	#537	C₂²×C₂₉	1	1	yes	characteristic
413	#536	C₂²×C₂₉	1	1	yes	characteristic
414	#535	C₂²×C₂₉	1	1	yes	characteristic
415	#497	—	2	1	no	—
416	#496	—	2	1	no	—
417	#495	—	2	1	no	—
418	#492	—	2	1	no	—
419	#471	—	2	4	no	—
420	#470	—	2	1	no	—
421	#469	—	2	1	no	—
422	#468	—	2	1	no	—
423	#468	—	2	1	no	—
424	#468	—	2	1	no	—
425	#468	—	2	1	no	—
426	#467	—	2	1	no	—
427	#467	—	2	1	no	—
428	#466	—	2	1	no	—
429	#466	—	2	1	no	—
430	#465	—	2	1	no	—
431	#465	—	2	1	no	—
432	#444	—	2	4	no	—
433	C₂×#108	C₂²×C₂₉	1	1	yes	characteristic
434	#428	C₂²×C₂₉	1	1	yes	characteristic
435	#428	C₂²×C₂₉	1	1	yes	characteristic
436	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
437	C₂×#104	C₂²×C₂₉	1	1	yes	characteristic
438	C₂×#104	C₂²×C₂₉	1	1	yes	characteristic
439	C₂×#104	C₂²×C₂₉	1	1	yes	characteristic
440	#417	C₂²×C₂₉	1	1	yes	characteristic
441	#417	C₂²×C₂₉	1	1	yes	characteristic
442	#416	C₂²×C₂₉	1	1	yes	characteristic
443	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
444	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
445	C₂×#101	C₂²×C₂₉	1	1	yes	characteristic
446	C₂×#100	C₂²×C₂₉	1	1	yes	characteristic
447	#405	C₂²×C₂₉	1	1	yes	characteristic
448	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
449	#391	C₂²×C₂₉	1	1	yes	characteristic
450	#390	C₂²×C₂₉	1	1	yes	characteristic
451	#343	C₂²×C₂₉	1	1	yes	characteristic
452	#343	C₂²×C₂₉	1	1	yes	characteristic
453	#341	C₂²×C₂₉	1	1	yes	characteristic
454	#339	C₂²×C₂₉	1	1	yes	characteristic
455	C₂×C₂₉	—	2	1	no	—
456	C₂×C₂₉	—	2	1	no	—
457	C₂×C₂₉	—	8	1	no	—
458	C₂×C₂₉	—	8	1	no	—
459	C₂×C₂₉	—	8	1	no	—
460	C₂×C₂₉	—	16	1	no	—
461	C₂×C₂₉	#2428	1	1	yes	characteristic
462	C₂×C₂₉	#3288	1	1	yes	characteristic
463	C₂×C₂₉	#3289	1	1	yes	characteristic
464	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
465	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
466	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
467	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
468	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
469	#137	—	2	2	no	—
470	#137	—	2	2	no	—
471	#137	—	4	1	no	—
472	#137	—	4	1	no	—
473	AGL(1,ℤ/8)	—	2	2	no	—
474	AGL(1,ℤ/8)	—	2	2	no	—
475	AGL(1,ℤ/8)	—	4	1	no	—
476	AGL(1,ℤ/8)	—	4	1	no	—
477	#135	—	2	2	no	—
478	#135	—	2	2	no	—
479	C₂×Q₁₆	—	2	1	no	—
480	C₂×Q₁₆	—	2	1	no	—
481	C₂×Q₁₆	D₄×C₂₉	1	1	yes	characteristic
482	C₂×SD₁₆	—	2	1	no	—
483	C₂×SD₁₆	—	2	1	no	—
484	C₂×SD₁₆	—	2	1	no	—
485	C₂×SD₁₆	—	2	1	no	—
486	C₂×SD₁₆	—	2	2	no	—
487	C₂×SD₁₆	—	2	1	no	—
488	C₂×SD₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	2	no	—
490	C₂×SD₁₆	D₄×C₂₉	1	1	yes	characteristic
491	C₂×SD₁₆	D₄×C₂₉	1	1	yes	characteristic
492	C₂×D₈	—	2	1	no	—
493	C₂×D₈	—	2	1	no	—
494	C₂×D₈	D₄×C₂₉	1	1	yes	characteristic
495	#131	—	2	2	no	—
496	#131	—	2	2	no	—
497	#131	—	2	2	no	—
498	#131	—	2	2	no	—
499	#131	—	4	1	no	—
500	#131	—	4	1	no	—
501	C₂×M₁₆	—	2	1	no	—
502	C₂×M₁₆	—	2	1	no	—
503	C₂×M₁₆	—	2	1	no	—
504	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
505	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
506	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
507	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
508	C₂²×C₈	—	2	1	no	—
509	C₂²×C₈	—	2	1	no	—
510	C₂²×C₈	—	2	1	no	—
511	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
512	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
513	C₄⋊Q₈	—	2	1	no	—
514	#127	—	2	1	no	—
515	#124	—	2	1	no	—
516	#124	—	2	1	no	—
517	#123	—	4	1	no	—
518	C₂²⋊Q₈	—	2	1	no	—
519	C₂²⋊Q₈	—	2	1	no	—
520	C₂²⋊Q₈	—	2	1	no	—
521	C₂²⋊Q₈	—	2	1	no	—
522	C₂²⋊Q₈	—	2	1	no	—
523	C₂²⋊Q₈	—	2	1	no	—
524	#121	—	2	1	no	—
525	#121	—	2	1	no	—
526	#121	—	2	1	no	—
527	#121	—	2	1	no	—
528	#121	—	2	1	no	—
529	#121	—	2	1	no	—
530	#121	—	4	1	no	—
531	#121	—	4	1	no	—
532	#120	—	4	1	no	—
533	#117	C₂³×C₂₉	1	1	yes	characteristic
534	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
535	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
536	C₂×C₂²⋊C₄	—	4	1	no	—
537	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
538	#108	D₄×C₂₉	1	4	yes	complemented
539	#107	—	2	1	no	—
540	#107	—	2	1	no	—
541	#107	—	2	1	no	—
542	#107	—	2	1	no	—
543	#106	—	2	1	no	—
544	#106	—	2	1	no	—
545	#104	—	2	2	no	—
546	#104	—	2	2	no	—
547	#104	—	2	2	no	—
548	#103	—	2	1	no	—
549	#103	—	2	1	no	—
550	#103	—	2	1	no	—
551	#103	—	2	1	no	—
552	#103	D₄×C₂₉	1	1	yes	characteristic
553	#103	D₄×C₂₉	1	1	yes	characteristic
554	#102	—	2	1	no	—
555	#102	—	2	1	no	—
556	#102	—	2	1	no	—
557	#102	—	2	1	no	—
558	#102	D₄×C₂₉	1	1	yes	characteristic
559	#102	D₄×C₂₉	1	1	yes	characteristic
560	#101	—	2	2	no	—
561	#100	—	2	2	no	—
562	#97	—	2	2	no	—
563	#97	—	2	1	no	—
564	C₄×C₈	—	2	1	no	—
565	#95	—	4	1	no	—
566	C₂₉	#25443	1	1	yes	characteristic, direct product factor, Sylow
567	C₂⁴	—	2	1	no	—
568	#41	—	2	1	no	—
569	#41	—	2	1	no	—
570	#41	—	2	1	no	—
571	#41	—	2	1	no	—
572	#41	—	2	1	no	—
573	#41	—	2	1	no	—
574	#41	—	2	1	no	—
575	#41	—	2	1	no	—
576	#41	—	2	1	no	—
577	#41	—	2	1	no	—
578	#41	—	2	1	no	—
579	#41	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	—	2	1	no	—
582	C₂×Q₈	—	2	1	no	—
583	C₂×Q₈	—	2	1	no	—
584	C₂×Q₈	—	2	1	no	—
585	C₂×Q₈	—	2	1	no	—
586	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
587	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
588	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
589	C₂×D₄	—	2	1	no	—
590	C₂×D₄	—	2	1	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	2	1	no	—
596	C₂×D₄	—	2	1	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	—	4	1	no	—
599	C₂×D₄	—	4	1	no	—
600	C₂×D₄	—	4	1	no	—
601	C₂×D₄	—	4	1	no	—
602	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
603	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
604	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
605	C₂²×C₄	—	2	1	no	—
606	C₂²×C₄	—	2	1	no	—
607	C₂²×C₄	—	2	1	no	—
608	C₂²×C₄	—	2	1	no	—
609	C₂²×C₄	—	2	1	no	—
610	C₂²×C₄	—	2	1	no	—
611	C₂²×C₄	—	2	1	no	—
612	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
613	Q₁₆	—	2	2	no	—
614	Q₁₆	—	4	2	no	—
615	Q₁₆	—	4	2	no	—
616	SD₁₆	—	2	2	no	—
617	SD₁₆	—	2	2	no	—
618	SD₁₆	—	4	2	no	—
619	SD₁₆	—	4	2	no	—
620	SD₁₆	—	4	2	no	—
621	SD₁₆	—	4	2	no	—
622	SD₁₆	—	4	2	no	—
623	SD₁₆	—	4	2	no	—
624	D₈	—	2	2	no	—
625	D₈	—	4	2	no	—
626	D₈	—	4	2	no	—
627	M₁₆	—	2	1	no	—
628	M₁₆	—	2	1	no	—
629	M₁₆	—	2	1	no	—
630	M₁₆	—	2	1	no	—
631	M₁₆	—	2	1	no	—
632	M₁₆	—	4	2	no	—
633	M₁₆	—	4	2	no	—
634	M₁₆	—	4	2	no	—
635	M₁₆	C₂×D₄×C₂₉	1	2	yes	—
636	M₁₆	C₂×D₄×C₂₉	1	2	yes	—
637	M₁₆	#41×C₂₉	1	2	yes	—
638	C₂×C₈	—	2	1	no	—
639	C₂×C₈	—	2	1	no	—
640	C₂×C₈	—	2	1	no	—
641	C₂×C₈	—	2	1	no	—
642	C₂×C₈	—	2	1	no	—
643	C₂×C₈	—	2	1	no	—
644	C₂×C₈	—	4	2	no	—
645	C₂×C₈	—	4	2	no	—
646	C₂×C₈	—	4	2	no	—
647	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
648	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
649	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
650	C₂×C₈	C₂×D₄×C₂₉	1	1	yes	characteristic
651	C₂×C₈	C₂×D₄×C₂₉	1	2	yes	—
652	C₂×C₈	#41×C₂₉	1	2	yes	—
653	C₄⋊C₄	—	2	1	no	—
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	4	1	no	—
658	C₄⋊C₄	—	4	1	no	—
659	C₄⋊C₄	—	4	1	no	—
660	C₄⋊C₄	—	4	1	no	—
661	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
662	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
663	C₂²⋊C₄	—	2	1	no	—
664	C₂²⋊C₄	—	4	1	no	—
665	C₂²⋊C₄	—	4	1	no	—
666	C₂²⋊C₄	—	4	1	no	—
667	C₂²⋊C₄	—	4	1	no	—
668	C₂²⋊C₄	—	4	1	no	—
669	C₂²⋊C₄	—	4	1	no	—
670	C₂²⋊C₄	—	4	1	no	—
671	C₂²⋊C₄	—	4	1	no	—
672	C₂²⋊C₄	—	8	2	no	—
673	C₄²	—	2	1	no	—
674	C₄²	—	2	1	no	—
675	C₄²	—	2	1	no	—
676	C₂³	—	2	1	no	—
677	C₂³	—	2	1	no	—
678	C₂³	—	2	1	no	—
679	C₂³	—	4	1	no	—
680	C₂³	—	4	1	no	—
681	C₂³	—	4	1	no	—
682	C₂³	—	8	1	no	—
683	C₂³	—	8	1	no	—
684	C₂³	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
685	Q₈	—	2	1	no	—
686	Q₈	—	2	1	no	—
687	Q₈	—	2	1	no	—
688	Q₈	—	2	1	no	—
689	Q₈	—	2	1	no	—
690	Q₈	—	2	1	no	—
691	Q₈	—	4	1	no	—
692	Q₈	—	4	1	no	—
693	Q₈	—	4	1	no	—
694	Q₈	—	4	1	no	—
695	D₄	—	2	1	no	—
696	D₄	—	2	1	no	—
697	D₄	—	2	1	no	—
698	D₄	—	2	1	no	—
699	D₄	—	2	1	no	—
700	D₄	—	2	1	no	—
701	D₄	—	4	1	no	—
702	D₄	—	4	1	no	—
703	D₄	—	4	1	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	1	no	—
706	D₄	—	4	1	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	4	1	no	—
711	D₄	—	16	1	no	—
712	D₄	—	16	1	no	—
713	D₄	—	16	1	no	—
714	D₄	—	16	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	1	no	—
725	C₂×C₄	—	4	1	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	1	no	—
728	C₂×C₄	—	4	1	no	—
729	C₂×C₄	—	4	1	no	—
730	C₂×C₄	—	4	1	no	—
731	C₂×C₄	—	4	1	no	—
732	C₂×C₄	—	4	1	no	—
733	C₂×C₄	—	4	1	no	—
734	C₂×C₄	—	8	1	no	—
735	C₂×C₄	—	8	1	no	—
736	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
737	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
738	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
739	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
740	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
741	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
742	C₈	—	2	1	no	—
743	C₈	—	2	1	no	—
744	C₈	—	2	2	no	—
745	C₈	—	2	2	no	—
746	C₈	—	2	2	no	—
747	C₈	—	4	1	no	—
748	C₈	C₂₉×#121	1	2	yes	—
749	C₈	C₂₉×#121	1	2	yes	—
750	C₂²	—	2	1	no	—
751	C₂²	—	2	1	no	—
752	C₂²	—	4	1	no	—
753	C₂²	—	4	1	no	—
754	C₂²	—	4	1	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	4	1	no	—
759	C₂²	—	4	1	no	—
760	C₂²	—	4	1	no	—
761	C₂²	—	8	2	no	—
762	C₂²	—	8	1	no	—
763	C₂²	—	8	1	no	—
764	C₂²	—	8	1	no	—
765	C₂²	—	16	1	no	—
766	C₂²	C₂₉×#540	1	1	yes	characteristic
767	C₂²	D₄²×C₂₉	1	1	yes	characteristic
768	C₂²	C₂₉×#550	1	1	yes	characteristic
769	C₄	—	4	1	no	—
770	C₄	—	4	1	no	—
771	C₄	—	4	1	no	—
772	C₄	—	4	1	no	—
773	C₄	—	4	1	no	—
774	C₄	—	8	1	no	—
775	C₄	—	8	1	no	—
776	C₄	—	8	1	no	—
777	C₄	—	8	1	no	—
778	C₄	C₂×C₂₉×#121	1	1	yes	characteristic
779	C₄	C₂₉×#532	1	1	yes	characteristic
780	C₄	D₄²×C₂₉	1	1	yes	characteristic
781	C₄	C₂₉×#546	1	1	yes	characteristic
782	C₂	—	2	1	no	—
783	C₂	—	2	1	no	—
784	C₂	—	8	1	no	—
785	C₂	—	8	1	no	—
786	C₂	—	8	1	no	—
787	C₂	—	16	1	no	—
788	C₂	C₂₉×#2428	1	1	yes	characteristic
789	C₂	C₂₉×#3288	1	1	yes	characteristic
790	C₂	C₂₉×#3289	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₉
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₂²×C₄×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3154	C₂	semidirect
2. C₂×C₂₉×#471	C₂	semidirect
3. C₂₉×#3063	C₂	semidirect
4. C₂₉×#3062	C₂	semidirect
5. C₂₉×#3061	C₂	semidirect
6. C₂×C₂₉×#444	C₂	semidirect
7. C₂₉×#2038	C₂	semidirect
8. C₂₉×#2037	C₂	semidirect
9. C₂₉×#2007	C₂	semidirect
10. C₂₉×#2006	C₂	semidirect
11. C₂₉×#1973	C₂	semidirect
12. C₂₉×#1952	C₂	semidirect
13. C₂₉×#1908	C₂	semidirect
14. C₂₉×#1907	C₂	semidirect
15. C₂₉×#1765	C₂	semidirect
143. C₂₉×#108	D₄	semidirect
280. #25443	C₂₉	direct (N × H)
355. #3154	C₂×C₂₉	semidirect
356. C₂×#471	C₂×C₂₉	semidirect
357. #3063	C₂×C₂₉	semidirect
358. #3062	C₂×C₂₉	semidirect
359. #3061	C₂×C₂₉	semidirect
360. C₂×#444	C₂×C₂₉	semidirect
361. #2038	C₂×C₂₉	semidirect
362. #2037	C₂×C₂₉	semidirect
363. #2007	C₂×C₂₉	semidirect
364. #2006	C₂×C₂₉	semidirect
365. #1973	C₂×C₂₉	semidirect
366. #1952	C₂×C₂₉	semidirect
367. #1908	C₂×C₂₉	semidirect
368. #1907	C₂×C₂₉	semidirect
369. #1765	C₂×C₂₉	semidirect
538. #108	D₄×C₂₉	semidirect
566. C₂₉	#25443	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×#3154	2
C₂×C₂₉×#471	2
C₂₉×#3063	2
C₂₉×#3062	2
C₂₉×#3061	2
C₂×C₂₉×#444	2
C₂₉×#2038	2
C₂₉×#2037	2
C₂₉×#2007	2
C₂₉×#2006	2
C₂₉×#1973	2
C₂₉×#1952	2
C₂₉×#1908	2
C₂₉×#1907	2
C₂₉×#1765	2
#25443	29

Subgroups — C29×#25443 #20320343

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#25443 #20320343