Subgroups — C₂₉×#61544 #20356444

Order 7424.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3518	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3349	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3340	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3329	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3328	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3328	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3327	C₂	1	2	yes	maximal, complemented
13	D₄×Q₁₆×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3270	C₂	1	2	yes	maximal, complemented
15	C₂₉×#3185	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3178	C₂	1	2	yes	maximal, complemented
17	C₂₉×#3127	C₂	1	2	yes	maximal, complemented
18	C₂₉×#3121	C₂	1	2	yes	maximal, complemented
19	C₂₉×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#2950	C₂	1	2	yes	maximal, complemented
23	C₄×C₂₉×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
25	C₂²×Q₁₆×C₂₉	C₂²	1	2	yes	—
26	Q₈²×C₂₉	C₂²	1	1	yes	characteristic
27	C₂₉×#557	—	2	1	no	—
28	C₂₉×#557	C₂²	1	1	yes	characteristic
29	C₂₉×#557	C₂²	1	1	yes	characteristic
30	C₂₉×#556	—	2	2	no	—
31	C₂₉×#556	—	2	1	no	—
32	C₂₉×#556	—	2	1	no	—
33	C₂₉×#556	C₂²	1	1	yes	characteristic
34	C₂₉×#556	C₂²	1	2	yes	—
35	C₂₉×#556	C₂²	1	1	yes	characteristic
36	C₂₉×#555	—	2	1	no	—
37	C₂₉×#555	C₂²	1	1	yes	characteristic
38	C₂₉×#552	—	2	2	no	—
39	C₂₉×#552	C₂²	1	2	yes	—
40	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₂₉	C₂²	1	2	yes	—
42	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
43	C₂₉×#548	C₂²	1	2	yes	—
44	C₂₉×#542	—	2	2	no	—
45	C₂₉×#542	C₂²	1	2	yes	—
46	C₂₉×#541	—	2	2	no	—
47	C₂₉×#541	C₂²	1	2	yes	—
48	C₂₉×#533	—	2	1	no	—
49	C₂₉×#533	—	2	1	no	—
50	C₂₉×#533	C₂²	1	1	yes	characteristic
51	C₂₉×#533	C₂²	1	1	yes	characteristic
52	C₂₉×#529	—	2	1	no	—
53	C₂₉×#529	—	2	1	no	—
54	C₂₉×#529	C₂²	1	1	yes	characteristic
55	C₂₉×#519	C₂²	1	2	yes	—
56	C₂₉×#519	C₂²	1	2	yes	—
57	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
59	C₂₉×#501	C₂²	1	2	yes	—
60	C₂₉×#498	C₂²	1	1	yes	characteristic
61	C₂₉×#497	C₂²	1	2	yes	—
62	C₂₉×#494	C₂²	1	1	yes	characteristic
63	C₂₉×#488	C₂²	1	2	yes	—
64	C₂₉×#487	C₂²	1	1	yes	characteristic
65	C₂₉×#487	C₂²	1	1	yes	characteristic
66	C₂₉×#487	C₂²	1	2	yes	—
67	C₂₉×#485	C₂²	1	2	yes	—
68	C₂₉×#485	C₂²	1	2	yes	—
69	C₂₉×#485	C₂²	1	2	yes	—
70	C₂₉×#485	C₂²	1	2	yes	—
71	C₂₉×#484	C₂²	1	2	yes	—
72	C₂₉×#482	C₂²	1	2	yes	—
73	C₂₉×#479	C₂²	1	2	yes	—
74	C₂₉×#479	C₂²	1	2	yes	—
75	C₂₉×#477	C₂²	1	1	yes	characteristic
76	C₂₉×#477	C₂²	1	1	yes	characteristic
77	C₂₉×#477	C₂²	1	2	yes	—
78	C₂₉×#475	C₂²	1	1	yes	characteristic
79	C₂₉×#475	C₂²	1	2	yes	—
80	C₂₉×#474	C₂²	1	1	yes	characteristic
81	C₂₉×#470	C₂²	1	2	yes	—
82	C₂₉×#470	C₂²	1	2	yes	—
83	C₂₉×#470	C₂²	1	2	yes	—
84	C₂₉×#468	C₂²	1	2	yes	—
85	C₂₉×#467	C₂²	1	2	yes	—
86	C₂₉×#465	C₂²	1	2	yes	—
87	C₂₉×#464	C₂²	1	2	yes	—
88	C₂₉×#464	C₂²	1	2	yes	—
89	C₂₉×#462	C₂²	1	2	yes	—
90	C₂₉×#462	C₂²	1	1	yes	characteristic
91	C₂₉×#462	C₂²	1	1	yes	characteristic
92	C₂₉×#462	C₂²	1	1	yes	characteristic
93	C₂₉×#462	C₂²	1	2	yes	—
94	C₂₉×#461	C₂²	1	1	yes	characteristic
95	C₂₉×#452	C₂²	1	2	yes	—
96	C₂₉×#451	C₂²	1	2	yes	—
97	C₂₉×#451	C₂²	1	2	yes	—
98	C₂₉×#451	C₂²	1	2	yes	—
99	C₂₉×#451	C₂²	1	2	yes	—
100	C₂₉×#448	C₂²	1	2	yes	—
101	C₂₉×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₂₉	C₂²	1	1	yes	characteristic
103	C₂₉×#441	C₂²	1	2	yes	—
104	C₂₉×#441	C₂²	1	2	yes	—
105	C₂₉×#441	C₂²	1	1	yes	characteristic
106	C₂₉×#441	C₂²	1	1	yes	characteristic
107	C₂₉×#441	C₂²	1	2	yes	—
108	C₂₉×#441	C₂²	1	2	yes	—
109	C₂₉×#440	C₂²	1	1	yes	characteristic
110	C₂₉×#440	C₂²	1	1	yes	characteristic
111	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
112	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
113	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
114	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
116	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
117	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
118	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
120	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	—
121	C₂₉×#436	C₂²	1	2	yes	—
122	C₂₉×#436	C₂²	1	1	yes	characteristic
123	C₂₉×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic
125	C₂₉×#433	C₂²	1	2	yes	—
126	C₂₉×#431	C₂²	1	1	yes	characteristic
127	C₂₉×#428	C₂²	1	1	yes	characteristic
128	C₂₉×#427	C₂²	1	2	yes	—
129	C₂₉×#419	C₂²	1	1	yes	characteristic
130	C₂₉×#419	C₂²	1	2	yes	—
131	C₂₉×#419	C₂²	1	2	yes	—
132	C₂₉×#417	C₂²	1	1	yes	characteristic
133	C₂₉×#405	C₂²	1	2	yes	—
134	C₄×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
137	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
139	C₂₉×#137	—	2	4	no	—
140	C₂×Q₁₆×C₂₉	—	2	8	no	—
141	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
142	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
143	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
146	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
148	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
150	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
151	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
152	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
153	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
155	C₂₉×C₄⋊Q₈	—	2	1	no	—
156	C₂₉×C₄⋊Q₈	—	2	1	no	—
157	C₂₉×C₄⋊Q₈	—	2	1	no	—
158	C₂₉×C₄⋊Q₈	—	2	1	no	—
159	C₂₉×C₄⋊Q₈	—	2	2	no	—
160	C₂₉×C₄⋊Q₈	—	2	2	no	—
161	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₂₉×#126	—	2	2	no	—
168	C₂₉×#126	—	2	2	no	—
169	C₂₉×#126	—	2	2	no	—
170	C₂₉×#126	—	2	2	no	—
171	C₂₉×#126	—	2	2	no	—
172	C₂₉×#126	—	2	2	no	—
173	C₂₉×#126	—	2	2	no	—
174	C₂₉×#126	—	2	2	no	—
175	C₂₉×#126	D₄	1	2	yes	—
176	C₂₉×#125	—	2	1	no	—
177	C₂₉×#125	—	2	2	no	—
178	C₂₉×#125	—	2	2	no	—
179	C₂₉×#125	—	2	2	no	—
180	C₂₉×#125	—	2	2	no	—
181	C₂₉×#125	—	2	2	no	—
182	C₂₉×#125	—	2	1	no	—
183	C₂₉×#125	—	2	1	no	—
184	C₂₉×#125	D₄	1	1	yes	characteristic
185	C₂₉×#125	C₂³	1	2	yes	—
186	C₂₉×#124	—	2	1	no	—
187	C₂₉×#124	—	2	2	no	—
188	C₂₉×#124	—	2	2	no	—
189	C₂₉×#124	—	2	2	no	—
190	C₂₉×#124	—	2	2	no	—
191	C₂₉×#124	D₄	1	1	yes	characteristic
192	C₂₉×#124	C₂³	1	2	yes	—
193	C₂₉×#123	—	2	2	no	—
194	C₂₉×#123	—	2	2	no	—
195	C₂₉×#123	D₄	1	2	yes	—
196	C₂₉×C₂²⋊Q₈	—	2	1	no	—
197	C₂₉×C₂²⋊Q₈	—	2	1	no	—
198	C₂₉×C₂²⋊Q₈	—	2	1	no	—
199	C₂₉×C₂²⋊Q₈	—	2	2	no	—
200	C₂₉×C₂²⋊Q₈	—	2	2	no	—
201	C₂₉×C₂²⋊Q₈	—	2	2	no	—
202	C₂₉×C₂²⋊Q₈	—	2	2	no	—
203	C₂₉×C₂²⋊Q₈	—	2	2	no	—
204	C₂₉×C₂²⋊Q₈	—	2	2	no	—
205	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
206	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₂₉×#121	—	2	1	no	—
212	C₂₉×#121	—	2	2	no	—
213	C₂₉×#121	D₄	1	1	yes	characteristic
214	C₂₉×#121	C₂³	1	2	yes	—
215	C₄×Q₈×C₂₉	—	2	1	no	—
216	C₄×Q₈×C₂₉	—	2	1	no	—
217	C₄×Q₈×C₂₉	—	2	2	no	—
218	C₄×Q₈×C₂₉	—	2	2	no	—
219	C₄×Q₈×C₂₉	—	2	2	no	—
220	C₄×Q₈×C₂₉	—	2	2	no	—
221	C₄×Q₈×C₂₉	—	2	1	no	—
222	C₄×Q₈×C₂₉	—	2	2	no	—
223	C₄×Q₈×C₂₉	—	2	1	no	—
224	C₄×Q₈×C₂₉	—	2	1	no	—
225	C₄×Q₈×C₂₉	—	2	1	no	—
226	C₄×Q₈×C₂₉	—	2	1	no	—
227	C₄×Q₈×C₂₉	—	2	1	no	—
228	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
229	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
235	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
237	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
238	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
240	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₂₉	—	2	2	no	—
242	C₄×D₄×C₂₉	—	2	1	no	—
243	C₄×D₄×C₂₉	—	2	1	no	—
244	C₄×D₄×C₂₉	—	2	1	no	—
245	C₄×D₄×C₂₉	—	2	1	no	—
246	C₄×D₄×C₂₉	—	2	2	no	—
247	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₂₉	C₂³	1	2	yes	—
251	C₂₉×#117	—	2	1	no	—
252	C₂₉×#117	—	2	1	no	—
253	C₂₉×#117	—	2	1	no	—
254	C₂₉×#117	—	2	1	no	—
255	C₂₉×#117	—	2	2	no	—
256	C₂₉×#117	—	2	2	no	—
257	C₂₉×#117	—	2	2	no	—
258	C₂₉×#117	—	2	2	no	—
259	C₂₉×#117	—	2	2	no	—
260	C₂₉×#117	—	2	1	no	—
261	C₂₉×#117	C₂³	1	2	yes	—
262	C₂₉×#117	C₂³	1	2	yes	—
263	C₂₉×#117	C₂³	1	1	yes	characteristic
264	C₂₉×#117	C₂³	1	2	yes	—
265	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
266	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₂₉	—	2	1	no	—
268	C₂×C₄²×C₂₉	—	2	1	no	—
269	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
270	C₂₉×#107	C₂³	1	2	yes	—
271	C₂₉×#107	C₂³	1	2	yes	—
272	C₂₉×#107	C₂³	1	1	yes	characteristic
273	C₂₉×#107	C₂³	1	1	yes	characteristic
274	C₂₉×#107	C₂³	1	2	yes	—
275	C₂₉×#106	C₂³	1	1	yes	characteristic
276	C₂₉×#106	C₂³	1	2	yes	—
277	C₂₉×#106	C₂³	1	1	yes	characteristic
278	C₂₉×#106	C₂³	1	2	yes	—
279	C₂₉×#106	C₂³	1	2	yes	—
280	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
283	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
284	C₂₉×#103	C₂³	1	1	yes	characteristic
285	C₂₉×#103	C₂³	1	1	yes	characteristic
286	C₂₉×#103	C₂³	1	2	yes	—
287	C₂₉×#103	C₂³	1	1	yes	characteristic
288	C₂₉×#103	C₂³	1	1	yes	characteristic
289	C₂₉×#103	C₂³	1	1	yes	characteristic
290	C₂₉×#103	C₂³	1	2	yes	—
291	C₂₉×#103	C₂³	1	1	yes	characteristic
292	C₂₉×#103	C₂³	1	2	yes	—
293	C₂₉×#103	C₂³	1	2	yes	—
294	C₂₉×#103	C₂³	1	2	yes	—
295	C₂₉×#103	C₂³	1	2	yes	—
296	C₂₉×#103	C₂³	1	2	yes	—
297	C₂₉×#103	C₂³	1	2	yes	—
298	C₂₉×#103	C₂³	1	2	yes	—
299	C₂₉×#103	C₂³	1	2	yes	—
300	C₂₉×#103	C₂³	1	2	yes	—
301	C₂₉×#102	C₂³	1	1	yes	characteristic
302	C₂₉×#102	C₂³	1	1	yes	characteristic
303	C₂₉×#102	C₂³	1	2	yes	—
304	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₂₉×#97	C₂³	1	1	yes	characteristic
308	C₂₉×#97	C₂³	1	2	yes	—
309	C₂₉×#97	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₂₉	C₂³	1	2	yes	—
311	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₂₉	C₂³	1	2	yes	—
314	#41×C₂₉	—	2	2	no	—
315	#41×C₂₉	—	4	1	no	—
316	C₂×Q₈×C₂₉	—	2	1	no	—
317	C₂×Q₈×C₂₉	—	2	2	no	—
318	C₂×Q₈×C₂₉	—	2	2	no	—
319	C₂×Q₈×C₂₉	—	2	1	no	—
320	C₂×Q₈×C₂₉	—	2	1	no	—
321	C₂×Q₈×C₂₉	—	2	2	no	—
322	C₂×Q₈×C₂₉	—	2	4	no	—
323	C₂×Q₈×C₂₉	—	2	4	no	—
324	C₂×Q₈×C₂₉	—	2	2	no	—
325	C₂×Q₈×C₂₉	—	4	2	no	—
326	C₂×Q₈×C₂₉	—	4	2	no	—
327	C₂×Q₈×C₂₉	—	4	1	no	—
328	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₂₉	—	2	1	no	—
335	C₂×D₄×C₂₉	—	2	2	no	—
336	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
337	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
338	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₂₉	—	2	1	no	—
340	C₂²×C₄×C₂₉	—	2	1	no	—
341	C₂²×C₄×C₂₉	—	2	2	no	—
342	C₂²×C₄×C₂₉	—	2	2	no	—
343	C₂²×C₄×C₂₉	—	2	1	no	—
344	C₂²×C₄×C₂₉	—	2	1	no	—
345	C₂²×C₄×C₂₉	—	2	1	no	—
346	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
350	Q₁₆×C₂₉	—	2	4	no	—
351	Q₁₆×C₂₉	—	2	4	no	—
352	Q₁₆×C₂₉	—	2	2	no	—
353	Q₁₆×C₂₉	—	2	4	no	—
354	Q₁₆×C₂₉	—	4	2	no	—
355	Q₁₆×C₂₉	—	4	2	no	—
356	Q₁₆×C₂₉	#41	1	4	yes	—
357	SD₁₆×C₂₉	—	2	2	no	—
358	SD₁₆×C₂₉	—	2	2	no	—
359	SD₁₆×C₂₉	—	4	2	no	—
360	M₁₆×C₂₉	—	2	2	no	—
361	M₁₆×C₂₉	—	4	2	no	—
362	M₁₆×C₂₉	—	4	1	no	—
363	C₂×C₈×C₂₉	—	2	4	no	—
364	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
365	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
368	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₂₉	—	2	1	no	—
371	C₄⋊C₄×C₂₉	—	2	1	no	—
372	C₄⋊C₄×C₂₉	—	2	1	no	—
373	C₄⋊C₄×C₂₉	—	2	1	no	—
374	C₄⋊C₄×C₂₉	—	2	1	no	—
375	C₄⋊C₄×C₂₉	—	2	1	no	—
376	C₄⋊C₄×C₂₉	—	2	1	no	—
377	C₄⋊C₄×C₂₉	—	2	1	no	—
378	C₄⋊C₄×C₂₉	—	2	1	no	—
379	C₄⋊C₄×C₂₉	—	2	2	no	—
380	C₄⋊C₄×C₂₉	—	2	2	no	—
381	C₄⋊C₄×C₂₉	—	2	2	no	—
382	C₄⋊C₄×C₂₉	—	2	2	no	—
383	C₄⋊C₄×C₂₉	—	2	2	no	—
384	C₄⋊C₄×C₂₉	—	2	2	no	—
385	C₄⋊C₄×C₂₉	—	2	1	no	—
386	C₄⋊C₄×C₂₉	—	2	2	no	—
387	C₄⋊C₄×C₂₉	—	2	1	no	—
388	C₄⋊C₄×C₂₉	—	2	2	no	—
389	C₄⋊C₄×C₂₉	—	2	2	no	—
390	C₄⋊C₄×C₂₉	—	2	1	no	—
391	C₄⋊C₄×C₂₉	—	2	2	no	—
392	C₄⋊C₄×C₂₉	—	2	1	no	—
393	C₄⋊C₄×C₂₉	—	2	2	no	—
394	C₄⋊C₄×C₂₉	—	2	2	no	—
395	C₄⋊C₄×C₂₉	—	2	2	no	—
396	C₄⋊C₄×C₂₉	—	2	2	no	—
397	C₄⋊C₄×C₂₉	—	2	2	no	—
398	C₄⋊C₄×C₂₉	—	2	2	no	—
399	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
405	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
411	C₂²⋊C₄×C₂₉	—	2	2	no	—
412	C₂²⋊C₄×C₂₉	—	2	2	no	—
413	C₂²⋊C₄×C₂₉	—	2	2	no	—
414	C₂²⋊C₄×C₂₉	—	2	2	no	—
415	C₂²⋊C₄×C₂₉	—	2	1	no	—
416	C₂²⋊C₄×C₂₉	—	2	2	no	—
417	C₂²⋊C₄×C₂₉	—	2	2	no	—
418	C₂²⋊C₄×C₂₉	—	2	2	no	—
419	C₂²⋊C₄×C₂₉	—	2	1	no	—
420	C₂²⋊C₄×C₂₉	—	2	1	no	—
421	C₂²⋊C₄×C₂₉	—	2	2	no	—
422	C₂²⋊C₄×C₂₉	—	2	2	no	—
423	C₂²⋊C₄×C₂₉	—	2	2	no	—
424	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
425	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
426	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
427	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
429	C₄²×C₂₉	—	2	1	no	—
430	C₄²×C₂₉	—	2	1	no	—
431	C₄²×C₂₉	—	2	1	no	—
432	C₄²×C₂₉	—	2	1	no	—
433	C₄²×C₂₉	—	2	1	no	—
434	C₄²×C₂₉	—	2	1	no	—
435	C₄²×C₂₉	—	2	1	no	—
436	C₄²×C₂₉	—	2	2	no	—
437	C₄²×C₂₉	—	2	2	no	—
438	C₄²×C₂₉	—	2	2	no	—
439	C₄²×C₂₉	—	2	2	no	—
440	C₄²×C₂₉	—	2	2	no	—
441	C₄²×C₂₉	—	2	2	no	—
442	C₄²×C₂₉	—	2	2	no	—
443	C₄²×C₂₉	—	2	2	no	—
444	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
447	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
448	C₄²×C₂₉	C₂⁴	1	2	yes	—
449	#61544	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
450	C₂³×C₂₉	—	2	1	no	—
451	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
452	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
453	Q₈×C₂₉	—	2	2	no	—
454	Q₈×C₂₉	—	2	1	no	—
455	Q₈×C₂₉	—	2	1	no	—
456	Q₈×C₂₉	—	2	1	no	—
457	Q₈×C₂₉	—	2	2	no	—
458	Q₈×C₂₉	—	2	2	no	—
459	Q₈×C₂₉	—	2	2	no	—
460	Q₈×C₂₉	—	2	2	no	—
461	Q₈×C₂₉	—	2	1	no	—
462	Q₈×C₂₉	—	4	2	no	—
463	Q₈×C₂₉	—	4	4	no	—
464	Q₈×C₂₉	—	4	4	no	—
465	Q₈×C₂₉	—	4	2	no	—
466	Q₈×C₂₉	—	8	1	no	—
467	Q₈×C₂₉	—	8	2	no	—
468	Q₈×C₂₉	C₂×#41	1	2	yes	—
469	Q₈×C₂₉	C₂×#41	1	2	yes	—
470	D₄×C₂₉	—	2	2	no	—
471	D₄×C₂₉	—	2	1	no	—
472	D₄×C₂₉	—	2	1	no	—
473	D₄×C₂₉	—	4	2	no	—
474	D₄×C₂₉	—	4	2	no	—
475	D₄×C₂₉	—	8	2	no	—
476	C₂×C₄×C₂₉	—	2	1	no	—
477	C₂×C₄×C₂₉	—	2	1	no	—
478	C₂×C₄×C₂₉	—	2	2	no	—
479	C₂×C₄×C₂₉	—	2	2	no	—
480	C₂×C₄×C₂₉	—	2	1	no	—
481	C₂×C₄×C₂₉	—	2	2	no	—
482	C₂×C₄×C₂₉	—	2	1	no	—
483	C₂×C₄×C₂₉	—	2	1	no	—
484	C₂×C₄×C₂₉	—	2	1	no	—
485	C₂×C₄×C₂₉	—	2	2	no	—
486	C₂×C₄×C₂₉	—	2	2	no	—
487	C₂×C₄×C₂₉	—	2	2	no	—
488	C₂×C₄×C₂₉	—	2	1	no	—
489	C₂×C₄×C₂₉	—	2	1	no	—
490	C₂×C₄×C₂₉	—	2	1	no	—
491	C₂×C₄×C₂₉	—	2	2	no	—
492	C₂×C₄×C₂₉	—	4	1	no	—
493	C₂×C₄×C₂₉	—	4	2	no	—
494	C₂×C₄×C₂₉	—	4	4	no	—
495	C₂×C₄×C₂₉	—	4	4	no	—
496	C₂×C₄×C₂₉	—	4	2	no	—
497	C₂×C₄×C₂₉	—	4	2	no	—
498	C₂×C₄×C₂₉	—	4	2	no	—
499	C₂×C₄×C₂₉	—	8	1	no	—
500	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
509	C₈×C₂₉	—	2	2	no	—
510	C₈×C₂₉	—	2	1	no	—
511	C₈×C₂₉	—	2	1	no	—
512	C₈×C₂₉	—	2	2	no	—
513	C₈×C₂₉	—	2	1	no	—
514	C₈×C₂₉	C₂×#41	1	2	yes	—
515	#3523	C₂×C₂₉	1	1	yes	characteristic, complemented
516	#3518	C₂×C₂₉	1	1	yes	characteristic
517	#3398	C₂×C₂₉	1	1	yes	characteristic, complemented
518	#3387	C₂×C₂₉	1	1	yes	characteristic, complemented
519	#3364	C₂×C₂₉	1	1	yes	characteristic, complemented
520	#3363	C₂×C₂₉	1	1	yes	characteristic, complemented
521	#3349	C₂×C₂₉	1	2	yes	complemented
522	#3340	C₂×C₂₉	1	1	yes	characteristic, complemented
523	#3329	C₂×C₂₉	1	1	yes	characteristic, complemented
524	#3328	C₂×C₂₉	1	1	yes	characteristic, complemented
525	#3328	C₂×C₂₉	1	2	yes	complemented
526	#3327	C₂×C₂₉	1	2	yes	complemented
527	D₄×Q₁₆	C₂×C₂₉	1	1	yes	characteristic, complemented
528	#3270	C₂×C₂₉	1	2	yes	complemented
529	#3185	C₂×C₂₉	1	1	yes	characteristic, complemented
530	#3178	C₂×C₂₉	1	2	yes	complemented
531	#3127	C₂×C₂₉	1	2	yes	complemented
532	#3121	C₂×C₂₉	1	2	yes	complemented
533	#3107	C₂×C₂₉	1	1	yes	characteristic, complemented
534	#3104	C₂×C₂₉	1	1	yes	characteristic, complemented
535	#2969	C₂×C₂₉	1	1	yes	characteristic, complemented
536	#2950	C₂×C₂₉	1	2	yes	complemented
537	C₄×#137	C₂×C₂₉	1	1	yes	characteristic, complemented
538	C₂²×C₂₉	—	2	1	no	—
539	C₂²×C₂₉	—	2	2	no	—
540	C₂²×C₂₉	—	2	2	no	—
541	C₂²×C₂₉	—	2	1	no	—
542	C₂²×C₂₉	—	2	1	no	—
543	C₂²×C₂₉	—	2	2	no	—
544	C₂²×C₂₉	—	4	1	no	—
545	C₂²×C₂₉	—	4	1	no	—
546	C₂²×C₂₉	—	4	1	no	—
547	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
548	C₄×C₂₉	—	2	1	no	—
549	C₄×C₂₉	—	2	1	no	—
550	C₄×C₂₉	—	2	2	no	—
551	C₄×C₂₉	—	2	1	no	—
552	C₄×C₂₉	—	2	2	no	—
553	C₄×C₂₉	—	2	2	no	—
554	C₄×C₂₉	—	2	2	no	—
555	C₄×C₂₉	—	2	1	no	—
556	C₄×C₂₉	—	2	2	no	—
557	C₄×C₂₉	—	4	1	no	—
558	C₄×C₂₉	—	4	1	no	—
559	C₄×C₂₉	—	4	1	no	—
560	C₄×C₂₉	—	4	2	no	—
561	C₄×C₂₉	—	4	2	no	—
562	C₄×C₂₉	—	4	1	no	—
563	C₄×C₂₉	—	4	2	no	—
564	C₄×C₂₉	—	4	1	no	—
565	C₄×C₂₉	—	4	2	no	—
566	C₄×C₂₉	#578	1	2	yes	—
567	C₄×C₂₉	C₂²×#41	1	1	yes	characteristic
568	C₄×C₂₉	#585	1	1	yes	characteristic
569	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
570	C₂²×Q₁₆	C₂²×C₂₉	1	2	yes	—
571	Q₈²	C₂²×C₂₉	1	1	yes	characteristic
572	#557	—	2	1	no	—
573	#557	C₂²×C₂₉	1	1	yes	characteristic
574	#557	C₂²×C₂₉	1	1	yes	characteristic
575	#556	—	2	2	no	—
576	#556	—	2	1	no	—
577	#556	—	2	1	no	—
578	#556	C₂²×C₂₉	1	1	yes	characteristic
579	#556	C₂²×C₂₉	1	1	yes	characteristic
580	#556	C₂²×C₂₉	1	2	yes	—
581	#555	—	2	1	no	—
582	#555	C₂²×C₂₉	1	1	yes	characteristic
583	#552	—	2	2	no	—
584	#552	C₂²×C₂₉	1	2	yes	—
585	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
586	D₄×Q₈	C₂²×C₂₉	1	2	yes	—
587	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
588	#548	C₂²×C₂₉	1	2	yes	—
589	#542	—	2	2	no	—
590	#542	C₂²×C₂₉	1	2	yes	—
591	#541	—	2	2	no	—
592	#541	C₂²×C₂₉	1	2	yes	—
593	#533	—	2	1	no	—
594	#533	—	2	1	no	—
595	#533	C₂²×C₂₉	1	1	yes	characteristic
596	#533	C₂²×C₂₉	1	1	yes	characteristic
597	#529	—	2	1	no	—
598	#529	—	2	1	no	—
599	#529	C₂²×C₂₉	1	1	yes	characteristic
600	#519	C₂²×C₂₉	1	2	yes	—
601	#519	C₂²×C₂₉	1	2	yes	—
602	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
603	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
604	#501	C₂²×C₂₉	1	2	yes	—
605	#498	C₂²×C₂₉	1	1	yes	characteristic
606	#497	C₂²×C₂₉	1	2	yes	—
607	#494	C₂²×C₂₉	1	1	yes	characteristic
608	#488	C₂²×C₂₉	1	2	yes	—
609	#487	C₂²×C₂₉	1	2	yes	—
610	#487	C₂²×C₂₉	1	1	yes	characteristic
611	#487	C₂²×C₂₉	1	1	yes	characteristic
612	#485	C₂²×C₂₉	1	2	yes	—
613	#485	C₂²×C₂₉	1	2	yes	—
614	#485	C₂²×C₂₉	1	2	yes	—
615	#485	C₂²×C₂₉	1	2	yes	—
616	#484	C₂²×C₂₉	1	2	yes	—
617	#482	C₂²×C₂₉	1	2	yes	—
618	#479	C₂²×C₂₉	1	2	yes	—
619	#479	C₂²×C₂₉	1	2	yes	—
620	#477	C₂²×C₂₉	1	1	yes	characteristic
621	#477	C₂²×C₂₉	1	1	yes	characteristic
622	#477	C₂²×C₂₉	1	2	yes	—
623	#475	C₂²×C₂₉	1	1	yes	characteristic
624	#475	C₂²×C₂₉	1	2	yes	—
625	#474	C₂²×C₂₉	1	1	yes	characteristic
626	#470	C₂²×C₂₉	1	2	yes	—
627	#470	C₂²×C₂₉	1	2	yes	—
628	#470	C₂²×C₂₉	1	2	yes	—
629	#468	C₂²×C₂₉	1	2	yes	—
630	#467	C₂²×C₂₉	1	2	yes	—
631	#465	C₂²×C₂₉	1	2	yes	—
632	#464	C₂²×C₂₉	1	2	yes	—
633	#464	C₂²×C₂₉	1	2	yes	—
634	#462	C₂²×C₂₉	1	1	yes	characteristic
635	#462	C₂²×C₂₉	1	2	yes	—
636	#462	C₂²×C₂₉	1	1	yes	characteristic
637	#462	C₂²×C₂₉	1	1	yes	characteristic
638	#462	C₂²×C₂₉	1	2	yes	—
639	#461	C₂²×C₂₉	1	1	yes	characteristic
640	#452	C₂²×C₂₉	1	2	yes	—
641	#451	C₂²×C₂₉	1	2	yes	—
642	#451	C₂²×C₂₉	1	2	yes	—
643	#451	C₂²×C₂₉	1	2	yes	—
644	#451	C₂²×C₂₉	1	2	yes	—
645	#448	C₂²×C₂₉	1	2	yes	—
646	#446	C₂²×C₂₉	1	1	yes	characteristic
647	C₈×Q₈	C₂²×C₂₉	1	1	yes	characteristic
648	#441	C₂²×C₂₉	1	2	yes	—
649	#441	C₂²×C₂₉	1	2	yes	—
650	#441	C₂²×C₂₉	1	1	yes	characteristic
651	#441	C₂²×C₂₉	1	2	yes	—
652	#441	C₂²×C₂₉	1	2	yes	—
653	#441	C₂²×C₂₉	1	1	yes	characteristic
654	#440	C₂²×C₂₉	1	1	yes	characteristic
655	#440	C₂²×C₂₉	1	1	yes	characteristic
656	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
657	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
658	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
659	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
660	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
661	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
662	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
663	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
664	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
665	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	—
666	#436	C₂²×C₂₉	1	1	yes	characteristic
667	#436	C₂²×C₂₉	1	2	yes	—
668	#435	C₂²×C₂₉	1	2	yes	—
669	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic
670	#433	C₂²×C₂₉	1	2	yes	—
671	#431	C₂²×C₂₉	1	1	yes	characteristic
672	#428	C₂²×C₂₉	1	1	yes	characteristic
673	#427	C₂²×C₂₉	1	2	yes	—
674	#419	C₂²×C₂₉	1	1	yes	characteristic
675	#419	C₂²×C₂₉	1	2	yes	—
676	#419	C₂²×C₂₉	1	2	yes	—
677	#417	C₂²×C₂₉	1	1	yes	characteristic
678	#405	C₂²×C₂₉	1	2	yes	—
679	C₄×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
680	C₂×C₂₉	—	4	1	no	—
681	C₂×C₂₉	—	4	2	no	—
682	C₂×C₂₉	—	8	1	no	—
683	C₂×C₂₉	D₄×#41	1	1	yes	characteristic
684	C₂×C₂₉	C₂×#578	1	1	yes	characteristic
685	C₂×C₂₉	#3586	1	1	yes	characteristic
686	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
687	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
688	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
689	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
690	#137	—	2	4	no	—
691	C₂×Q₁₆	—	2	8	no	—
692	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
693	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
694	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
695	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
696	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
697	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
700	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
701	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
702	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
703	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
704	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
705	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	—	2	1	no	—
709	C₄⋊Q₈	—	2	1	no	—
710	C₄⋊Q₈	—	2	2	no	—
711	C₄⋊Q₈	—	2	2	no	—
712	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
714	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	D₄×C₂₉	1	2	yes	—
727	#125	—	2	1	no	—
728	#125	—	2	2	no	—
729	#125	—	2	2	no	—
730	#125	—	2	2	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	—	2	1	no	—
735	#125	D₄×C₂₉	1	1	yes	characteristic
736	#125	C₂³×C₂₉	1	2	yes	—
737	#124	—	2	1	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	D₄×C₂₉	1	1	yes	characteristic
743	#124	C₂³×C₂₉	1	2	yes	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	D₄×C₂₉	1	2	yes	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
757	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
758	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	D₄×C₂₉	1	1	yes	characteristic
765	#121	C₂³×C₂₉	1	2	yes	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	2	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	2	no	—
771	C₄×Q₈	—	2	2	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	2	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
786	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
787	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
788	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
789	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
790	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
791	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₂₉	1	2	yes	—
801	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	2	no	—
807	#117	—	2	2	no	—
808	#117	—	2	2	no	—
809	#117	—	2	2	no	—
810	#117	—	2	2	no	—
811	#117	—	2	1	no	—
812	#117	C₂³×C₂₉	1	1	yes	characteristic
813	#117	C₂³×C₂₉	1	2	yes	—
814	#117	C₂³×C₂₉	1	2	yes	—
815	#117	C₂³×C₂₉	1	2	yes	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
818	C₂×C₄²	—	2	1	no	—
819	C₂×C₄²	—	2	1	no	—
820	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
821	#107	C₂³×C₂₉	1	2	yes	—
822	#107	C₂³×C₂₉	1	2	yes	—
823	#107	C₂³×C₂₉	1	1	yes	characteristic
824	#107	C₂³×C₂₉	1	1	yes	characteristic
825	#107	C₂³×C₂₉	1	2	yes	—
826	#106	C₂³×C₂₉	1	1	yes	characteristic
827	#106	C₂³×C₂₉	1	2	yes	—
828	#106	C₂³×C₂₉	1	1	yes	characteristic
829	#106	C₂³×C₂₉	1	2	yes	—
830	#106	C₂³×C₂₉	1	2	yes	—
831	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
834	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
835	#103	C₂³×C₂₉	1	1	yes	characteristic
836	#103	C₂³×C₂₉	1	1	yes	characteristic
837	#103	C₂³×C₂₉	1	1	yes	characteristic
838	#103	C₂³×C₂₉	1	1	yes	characteristic
839	#103	C₂³×C₂₉	1	1	yes	characteristic
840	#103	C₂³×C₂₉	1	1	yes	characteristic
841	#103	C₂³×C₂₉	1	2	yes	—
842	#103	C₂³×C₂₉	1	2	yes	—
843	#103	C₂³×C₂₉	1	2	yes	—
844	#103	C₂³×C₂₉	1	2	yes	—
845	#103	C₂³×C₂₉	1	2	yes	—
846	#103	C₂³×C₂₉	1	2	yes	—
847	#103	C₂³×C₂₉	1	2	yes	—
848	#103	C₂³×C₂₉	1	2	yes	—
849	#103	C₂³×C₂₉	1	2	yes	—
850	#103	C₂³×C₂₉	1	2	yes	—
851	#103	C₂³×C₂₉	1	2	yes	—
852	#102	C₂³×C₂₉	1	1	yes	characteristic
853	#102	C₂³×C₂₉	1	1	yes	characteristic
854	#102	C₂³×C₂₉	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
858	#97	C₂³×C₂₉	1	1	yes	characteristic
859	#97	C₂³×C₂₉	1	1	yes	characteristic
860	#97	C₂³×C₂₉	1	2	yes	—
861	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
862	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₂₉	1	2	yes	—
864	C₄×C₈	C₂³×C₂₉	1	2	yes	—
865	C₂₉	#61544	1	1	yes	characteristic, direct product factor, Sylow
866	#41	—	2	2	no	—
867	#41	—	4	1	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	4	no	—
875	C₂×Q₈	—	2	4	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	—	4	2	no	—
878	C₂×Q₈	—	4	2	no	—
879	C₂×Q₈	—	4	1	no	—
880	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
881	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
882	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
884	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
889	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
890	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
899	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
902	Q₁₆	—	2	4	no	—
903	Q₁₆	—	2	4	no	—
904	Q₁₆	—	2	2	no	—
905	Q₁₆	—	2	4	no	—
906	Q₁₆	—	4	2	no	—
907	Q₁₆	—	4	2	no	—
908	Q₁₆	#41×C₂₉	1	4	yes	—
909	SD₁₆	—	2	2	no	—
910	SD₁₆	—	2	2	no	—
911	SD₁₆	—	4	2	no	—
912	M₁₆	—	2	2	no	—
913	M₁₆	—	4	2	no	—
914	M₁₆	—	4	1	no	—
915	C₂×C₈	—	2	4	no	—
916	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
918	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
921	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
952	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
953	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
954	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
957	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
958	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
959	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
960	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
977	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
978	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	2	no	—
996	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
997	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
998	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
999	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1000	C₄²	C₂⁴×C₂₉	1	2	yes	—
1001	C₂³	—	2	1	no	—
1002	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
1003	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1004	Q₈	—	2	2	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	2	1	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	4	2	no	—
1014	Q₈	—	4	4	no	—
1015	Q₈	—	4	4	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	C₂×#41×C₂₉	1	2	yes	—
1020	Q₈	C₂×#41×C₂₉	1	2	yes	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	4	2	no	—
1026	D₄	—	8	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	4	1	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	4	no	—
1046	C₂×C₄	—	4	4	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	4	2	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1057	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1059	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1060	C₈	—	2	2	no	—
1061	C₈	—	2	1	no	—
1062	C₈	—	2	1	no	—
1063	C₈	—	2	2	no	—
1064	C₈	—	2	1	no	—
1065	C₈	C₂×#41×C₂₉	1	2	yes	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1076	C₄	—	2	1	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	1	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	1	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	2	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₂₉×#578	1	2	yes	—
1095	C₄	C₂²×#41×C₂₉	1	1	yes	characteristic
1096	C₄	C₂₉×#585	1	1	yes	characteristic
1097	C₂	—	4	2	no	—
1098	C₂	—	4	1	no	—
1099	C₂	—	8	1	no	—
1100	C₂	D₄×#41×C₂₉	1	1	yes	characteristic
1101	C₂	C₂×C₂₉×#578	1	1	yes	characteristic
1102	C₂	C₂₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₉
prime radical	C₂₉×#3518	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₂₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3523	C₂	semidirect
3. C₂₉×#3398	C₂	semidirect
4. C₂₉×#3387	C₂	semidirect
5. C₂₉×#3364	C₂	semidirect
6. C₂₉×#3363	C₂	semidirect
7. C₂₉×#3349	C₂	semidirect
8. C₂₉×#3340	C₂	semidirect
9. C₂₉×#3329	C₂	semidirect
10. C₂₉×#3328	C₂	semidirect
11. C₂₉×#3328	C₂	semidirect
12. C₂₉×#3327	C₂	semidirect
13. D₄×Q₁₆×C₂₉	C₂	semidirect
14. C₂₉×#3270	C₂	semidirect
15. C₂₉×#3185	C₂	semidirect
16. C₂₉×#3178	C₂	semidirect
17. C₂₉×#3127	C₂	semidirect
18. C₂₉×#3121	C₂	semidirect
19. C₂₉×#3107	C₂	semidirect
20. C₂₉×#3104	C₂	semidirect
21. C₂₉×#2969	C₂	semidirect
22. C₂₉×#2950	C₂	semidirect
23. C₄×C₂₉×#137	C₂	semidirect
449. #61544	C₂₉	direct (N × H)
515. #3523	C₂×C₂₉	semidirect
517. #3398	C₂×C₂₉	semidirect
518. #3387	C₂×C₂₉	semidirect
519. #3364	C₂×C₂₉	semidirect
520. #3363	C₂×C₂₉	semidirect
521. #3349	C₂×C₂₉	semidirect
522. #3340	C₂×C₂₉	semidirect
523. #3329	C₂×C₂₉	semidirect
524. #3328	C₂×C₂₉	semidirect
525. #3328	C₂×C₂₉	semidirect
526. #3327	C₂×C₂₉	semidirect
527. D₄×Q₁₆	C₂×C₂₉	semidirect
528. #3270	C₂×C₂₉	semidirect
529. #3185	C₂×C₂₉	semidirect
530. #3178	C₂×C₂₉	semidirect
531. #3127	C₂×C₂₉	semidirect
532. #3121	C₂×C₂₉	semidirect
533. #3107	C₂×C₂₉	semidirect
534. #3104	C₂×C₂₉	semidirect
535. #2969	C₂×C₂₉	semidirect
536. #2950	C₂×C₂₉	semidirect
537. C₄×#137	C₂×C₂₉	semidirect
865. C₂₉	#61544	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×#3523	2
C₂₉×#3518	2
C₂₉×#3398	2
C₂₉×#3387	2
C₂₉×#3364	2
C₂₉×#3363	2
C₂₉×#3349	2
C₂₉×#3340	2
C₂₉×#3329	2
C₂₉×#3328	2
C₂₉×#3327	2
D₄×Q₁₆×C₂₉	2
C₂₉×#3270	2
C₂₉×#3185	2
C₂₉×#3178	2
C₂₉×#3127	2
C₂₉×#3121	2
C₂₉×#3107	2
C₂₉×#3104	2
C₂₉×#2969	2
C₂₉×#2950	2
C₄×C₂₉×#137	2
#61544	29

Subgroups — C29×#61544 #20356444

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61544 #20356444