Subgroups — C₂₉×#62120 #20357020

Order 7424.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3482	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3376	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3352	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3345	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3344	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3327	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3326	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3308	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3252	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3240	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#3236	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₉×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₉×#3117	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₉×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₉×#3108	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#3080	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₉×#3078	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₉×#479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₉×#2989	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₉×#557	C₂²	1	1	yes	characteristic
33	C₂₉×#557	C₂²	1	1	yes	characteristic
34	C₂₉×#556	—	2	1	no	—
35	C₂₉×#556	C₂²	1	1	yes	characteristic
36	C₂₉×#554	C₂²	1	1	yes	characteristic
37	C₂₉×#554	C₂²	1	1	yes	characteristic
38	C₂₉×#553	C₂²	1	1	yes	characteristic
39	C₂₉×#553	C₂²	1	1	yes	characteristic
40	C₂₉×#552	—	2	1	no	—
41	C₂₉×#552	—	2	1	no	—
42	C₂₉×#552	—	2	1	no	—
43	C₂₉×#552	—	2	1	no	—
44	C₂₉×#552	—	2	1	no	—
45	C₂₉×#552	C₂²	1	1	yes	characteristic
46	C₂₉×#552	C₂²	1	1	yes	characteristic
47	C₂₉×#552	C₂²	1	1	yes	characteristic
48	C₂₉×#552	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
50	C₂₉×#548	C₂²	1	1	yes	characteristic
51	C₂₉×#548	C₂²	1	1	yes	characteristic
52	C₂₉×#547	—	2	1	no	—
53	C₂₉×#547	—	2	1	no	—
54	C₂₉×#547	C₂²	1	1	yes	characteristic
55	C₂₉×#547	C₂²	1	1	yes	characteristic
56	C₂₉×#541	—	2	1	no	—
57	C₂₉×#539	—	2	1	no	—
58	C₂₉×#539	—	2	1	no	—
59	C₂₉×#533	—	2	1	no	—
60	C₂₉×#533	C₂²	1	1	yes	characteristic
61	C₂₉×#533	C₂²	1	1	yes	characteristic
62	C₂₉×#529	—	2	1	no	—
63	C₂₉×#529	—	2	1	no	—
64	C₂₉×#529	C₂²	1	1	yes	characteristic
65	C₂₉×#529	C₂²	1	1	yes	characteristic
66	C₂₉×#529	C₂²	1	1	yes	characteristic
67	C₂₉×#529	C₂²	1	1	yes	characteristic
68	C₂₉×#529	C₂²	1	1	yes	characteristic
69	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
70	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
71	C₂₉×#520	—	2	1	no	—
72	C₄×#41×C₂₉	—	2	1	no	—
73	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
74	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
75	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
77	C₂₉×#501	C₂²	1	1	yes	characteristic
78	C₂₉×#501	C₂²	1	1	yes	characteristic
79	C₂₉×#501	C₂²	1	1	yes	characteristic
80	C₂₉×#501	C₂²	1	1	yes	characteristic
81	C₂₉×#499	C₂²	1	1	yes	characteristic
82	C₂₉×#499	C₂²	1	1	yes	characteristic
83	C₂₉×#491	C₂²	1	1	yes	characteristic
84	C₂₉×#491	C₂²	1	1	yes	characteristic
85	C₂₉×#489	C₂²	1	1	yes	characteristic
86	C₂₉×#489	C₂²	1	1	yes	characteristic
87	C₂₉×#488	C₂²	1	1	yes	characteristic
88	C₂₉×#488	C₂²	1	1	yes	characteristic
89	C₂₉×#485	C₂²	1	1	yes	characteristic
90	C₂₉×#485	C₂²	1	1	yes	characteristic
91	C₂₉×#485	C₂²	1	1	yes	characteristic
92	C₂₉×#484	C₂²	1	1	yes	characteristic
93	C₂₉×#484	C₂²	1	1	yes	characteristic
94	C₂₉×#484	C₂²	1	1	yes	characteristic
95	C₂₉×#484	C₂²	1	1	yes	characteristic
96	C₂₉×#483	C₂²	1	1	yes	characteristic
97	C₂₉×#483	C₂²	1	1	yes	characteristic
98	C₂₉×#483	C₂²	1	1	yes	characteristic
99	C₂₉×#483	C₂²	1	1	yes	characteristic
100	C₂₉×#482	C₂²	1	1	yes	characteristic
101	C₂₉×#482	C₂²	1	1	yes	characteristic
102	C₂₉×#482	C₂²	1	1	yes	characteristic
103	C₂₉×#481	C₂²	1	1	yes	characteristic
104	C₂₉×#481	C₂²	1	1	yes	characteristic
105	C₂₉×#480	C₂²	1	1	yes	characteristic
106	C₂₉×#480	C₂²	1	1	yes	characteristic
107	C₂₉×#479	C₂²	1	1	yes	characteristic
108	C₂₉×#479	C₂²	1	1	yes	characteristic
109	C₂₉×#479	C₂²	1	1	yes	characteristic
110	C₂₉×#479	C₂²	1	1	yes	characteristic
111	C₂₉×#479	C₂²	1	1	yes	characteristic
112	C₂₉×#479	C₂²	1	1	yes	characteristic
113	C₂₉×#479	C₂²	1	1	yes	characteristic
114	C₂₉×#479	C₂²	1	1	yes	characteristic
115	C₂₉×#479	C₂²	1	1	yes	characteristic
116	C₂₉×#479	C₂²	1	1	yes	characteristic
117	C₂₉×#479	C₂²	1	1	yes	characteristic
118	C₂₉×#479	C₂²	1	1	yes	characteristic
119	C₂₉×#479	C₂²	1	1	yes	characteristic
120	C₂₉×#479	C₂²	1	1	yes	characteristic
121	C₂₉×#479	C₂²	1	1	yes	characteristic
122	C₂₉×#479	C₂²	1	1	yes	characteristic
123	C₂₉×#479	C₂²	1	1	yes	characteristic
124	C₂₉×#478	C₂²	1	1	yes	characteristic
125	C₂₉×#478	C₂²	1	1	yes	characteristic
126	C₂₉×#478	C₂²	1	1	yes	characteristic
127	C₂₉×#478	C₂²	1	1	yes	characteristic
128	C₂₉×#478	C₂²	1	1	yes	characteristic
129	C₂₉×#478	C₂²	1	1	yes	characteristic
130	C₂₉×#478	C₂²	1	1	yes	characteristic
131	C₂₉×#477	C₂²	1	1	yes	characteristic
132	C₂₉×#477	C₂²	1	1	yes	characteristic
133	C₂₉×#477	C₂²	1	1	yes	characteristic
134	C₂₉×#476	C₂²	1	1	yes	characteristic
135	C₂₉×#475	C₂²	1	1	yes	characteristic
136	C₂₉×#475	C₂²	1	1	yes	characteristic
137	C₂₉×#470	C₂²	1	1	yes	characteristic
138	C₂₉×#470	C₂²	1	1	yes	characteristic
139	C₂₉×#470	C₂²	1	1	yes	characteristic
140	C₂₉×#469	C₂²	1	1	yes	characteristic
141	C₂₉×#468	C₂²	1	1	yes	characteristic
142	C₂₉×#468	C₂²	1	1	yes	characteristic
143	C₂₉×#468	C₂²	1	1	yes	characteristic
144	C₂₉×#468	C₂²	1	1	yes	characteristic
145	C₂₉×#467	C₂²	1	1	yes	characteristic
146	C₂₉×#466	C₂²	1	1	yes	characteristic
147	C₂₉×#465	C₂²	1	1	yes	characteristic
148	C₂₉×#465	C₂²	1	1	yes	characteristic
149	C₂₉×#464	C₂²	1	1	yes	characteristic
150	C₂₉×#464	C₂²	1	1	yes	characteristic
151	C₂₉×#464	C₂²	1	1	yes	characteristic
152	C₂₉×#464	C₂²	1	1	yes	characteristic
153	C₂₉×#464	C₂²	1	1	yes	characteristic
154	C₂₉×#463	C₂²	1	1	yes	characteristic
155	C₂₉×#463	C₂²	1	1	yes	characteristic
156	C₂₉×#463	C₂²	1	1	yes	characteristic
157	C₂₉×#462	C₂²	1	1	yes	characteristic
158	C₂₉×#461	C₂²	1	1	yes	characteristic
159	C₂₉×#452	C₂²	1	1	yes	characteristic
160	C₂₉×#451	C₂²	1	1	yes	characteristic
161	C₂₉×#451	C₂²	1	1	yes	characteristic
162	C₂₉×#449	C₂²	1	1	yes	characteristic
163	C₂₉×#448	C₂²	1	1	yes	characteristic
164	C₂₉×#448	C₂²	1	1	yes	characteristic
165	C₂₉×#446	C₂²	1	1	yes	characteristic
166	C₂₉×#446	C₂²	1	1	yes	characteristic
167	C₂₉×#442	C₂²	1	1	yes	characteristic
168	C₂₉×#441	C₂²	1	1	yes	characteristic
169	C₂₉×#441	C₂²	1	1	yes	characteristic
170	C₂₉×#441	C₂²	1	1	yes	characteristic
171	C₂₉×#440	C₂²	1	1	yes	characteristic
172	C₂₉×#440	C₂²	1	1	yes	characteristic
173	C₂₉×#440	C₂²	1	1	yes	characteristic
174	C₂₉×#440	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
176	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
179	C₂₉×#436	C₂²	1	1	yes	characteristic
180	C₂₉×#436	C₂²	1	1	yes	characteristic
181	C₂₉×#435	C₂²	1	1	yes	characteristic
182	C₂₉×#435	C₂²	1	1	yes	characteristic
183	C₂₉×#435	C₂²	1	1	yes	characteristic
184	C₂₉×#435	C₂²	1	1	yes	characteristic
185	C₂₉×#432	C₂²	1	1	yes	characteristic
186	C₂₉×#432	C₂²	1	1	yes	characteristic
187	C₂₉×#431	C₂²	1	1	yes	characteristic
188	C₂₉×#428	C₂²	1	1	yes	characteristic
189	C₂₉×#428	C₂²	1	1	yes	characteristic
190	C₂₉×#428	C₂²	1	1	yes	characteristic
191	C₂₉×#428	C₂²	1	1	yes	characteristic
192	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
193	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
194	C₂₉×#423	C₂²	1	1	yes	characteristic
195	C₂₉×#423	C₂²	1	1	yes	characteristic
196	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
197	C₂₉×#419	C₂²	1	1	yes	characteristic
198	C₂₉×#419	C₂²	1	1	yes	characteristic
199	C₂₉×#417	C₂²	1	1	yes	characteristic
200	C₂₉×#417	C₂²	1	1	yes	characteristic
201	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
202	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
203	C₂×#41×C₂₉	—	2	1	no	—
204	C₂×#41×C₂₉	—	2	1	no	—
205	C₂×#41×C₂₉	D₄	1	1	yes	characteristic
206	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
223	C₂₉×C₄⋊Q₈	—	2	1	no	—
224	C₂₉×C₄⋊Q₈	—	2	1	no	—
225	C₂₉×C₄⋊Q₈	—	2	1	no	—
226	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₂₉×#126	—	2	1	no	—
231	C₂₉×#126	—	2	1	no	—
232	C₂₉×#126	—	2	1	no	—
233	C₂₉×#126	—	2	1	no	—
234	C₂₉×#126	—	2	1	no	—
235	C₂₉×#126	—	2	1	no	—
236	C₂₉×#126	—	2	1	no	—
237	C₂₉×#126	—	2	1	no	—
238	C₂₉×#126	—	2	1	no	—
239	C₂₉×#126	—	2	1	no	—
240	C₂₉×#126	—	2	1	no	—
241	C₂₉×#126	—	2	1	no	—
242	C₂₉×#126	—	2	1	no	—
243	C₂₉×#125	—	2	1	no	—
244	C₂₉×#125	—	2	1	no	—
245	C₂₉×#125	—	2	1	no	—
246	C₂₉×#125	—	2	1	no	—
247	C₂₉×#125	—	2	1	no	—
248	C₂₉×#125	—	2	1	no	—
249	C₂₉×#125	—	2	1	no	—
250	C₂₉×#125	—	2	1	no	—
251	C₂₉×#125	—	2	1	no	—
252	C₂₉×#125	—	2	1	no	—
253	C₂₉×#125	—	2	1	no	—
254	C₂₉×#125	—	2	1	no	—
255	C₂₉×#125	—	2	1	no	—
256	C₂₉×#125	—	2	1	no	—
257	C₂₉×#125	C₂³	1	1	yes	characteristic
258	C₂₉×#125	C₂³	1	1	yes	characteristic
259	C₂₉×#125	C₂³	1	1	yes	characteristic
260	C₂₉×#125	C₂³	1	1	yes	characteristic
261	C₂₉×#125	C₂³	1	1	yes	characteristic
262	C₂₉×#125	C₂³	1	1	yes	characteristic
263	C₂₉×#125	C₂³	1	1	yes	characteristic
264	C₂₉×#125	C₂³	1	1	yes	characteristic
265	C₂₉×#125	C₂³	1	1	yes	characteristic
266	C₂₉×#124	—	2	1	no	—
267	C₂₉×#124	—	2	1	no	—
268	C₂₉×#124	C₂³	1	1	yes	characteristic
269	C₂₉×#124	C₂³	1	1	yes	characteristic
270	C₂₉×#124	C₂³	1	1	yes	characteristic
271	C₂₉×#123	—	2	1	no	—
272	C₂₉×#123	—	2	1	no	—
273	C₂₉×#123	—	2	1	no	—
274	C₂₉×#123	—	2	1	no	—
275	C₂₉×#123	—	2	1	no	—
276	C₂₉×#123	—	2	1	no	—
277	C₂₉×#123	—	2	1	no	—
278	C₂₉×#123	—	2	1	no	—
279	C₂₉×#123	—	2	1	no	—
280	C₂₉×#123	—	2	1	no	—
281	C₂₉×#123	—	2	1	no	—
282	C₂₉×#123	—	2	1	no	—
283	C₂₉×#123	—	2	1	no	—
284	C₂₉×#123	—	2	1	no	—
285	C₂₉×#123	—	2	1	no	—
286	C₂₉×C₂²⋊Q₈	—	2	1	no	—
287	C₂₉×C₂²⋊Q₈	—	2	1	no	—
288	C₂₉×C₂²⋊Q₈	—	2	1	no	—
289	C₂₉×C₂²⋊Q₈	—	2	1	no	—
290	C₂₉×C₂²⋊Q₈	—	2	1	no	—
291	C₂₉×C₂²⋊Q₈	—	2	1	no	—
292	C₂₉×C₂²⋊Q₈	—	2	1	no	—
293	C₂₉×C₂²⋊Q₈	—	2	1	no	—
294	C₂₉×C₂²⋊Q₈	—	2	1	no	—
295	C₂₉×C₂²⋊Q₈	—	2	1	no	—
296	C₂₉×C₂²⋊Q₈	—	2	1	no	—
297	C₂₉×C₂²⋊Q₈	—	2	1	no	—
298	C₂₉×C₂²⋊Q₈	—	2	1	no	—
299	C₂₉×C₂²⋊Q₈	—	2	1	no	—
300	C₂₉×C₂²⋊Q₈	—	2	1	no	—
301	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₂₉×#121	—	2	1	no	—
309	C₂₉×#121	—	2	1	no	—
310	C₂₉×#121	—	2	1	no	—
311	C₂₉×#121	—	2	1	no	—
312	C₂₉×#121	C₂³	1	1	yes	characteristic
313	C₂₉×#121	C₂³	1	1	yes	characteristic
314	C₂₉×#121	C₂³	1	1	yes	characteristic
315	C₂₉×#121	C₂³	1	1	yes	characteristic
316	C₂₉×#121	C₂³	1	1	yes	characteristic
317	C₄×Q₈×C₂₉	—	2	1	no	—
318	C₄×Q₈×C₂₉	—	2	1	no	—
319	C₄×Q₈×C₂₉	—	2	1	no	—
320	C₄×Q₈×C₂₉	—	2	1	no	—
321	C₄×Q₈×C₂₉	—	2	1	no	—
322	C₄×Q₈×C₂₉	—	2	1	no	—
323	C₄×Q₈×C₂₉	—	2	1	no	—
324	C₄×Q₈×C₂₉	—	2	1	no	—
325	C₄×Q₈×C₂₉	—	2	1	no	—
326	C₄×Q₈×C₂₉	D₄	1	1	yes	characteristic
327	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
339	C₄×D₄×C₂₉	—	2	1	no	—
340	C₄×D₄×C₂₉	—	2	1	no	—
341	C₄×D₄×C₂₉	—	2	1	no	—
342	C₄×D₄×C₂₉	—	2	1	no	—
343	C₄×D₄×C₂₉	—	2	1	no	—
344	C₄×D₄×C₂₉	—	2	1	no	—
345	C₄×D₄×C₂₉	—	2	1	no	—
346	C₄×D₄×C₂₉	—	2	1	no	—
347	C₄×D₄×C₂₉	—	2	1	no	—
348	C₄×D₄×C₂₉	—	2	1	no	—
349	C₄×D₄×C₂₉	—	2	1	no	—
350	C₄×D₄×C₂₉	—	2	1	no	—
351	C₄×D₄×C₂₉	—	2	1	no	—
352	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
353	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
354	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
355	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
363	C₂₉×#117	—	2	1	no	—
364	C₂₉×#117	—	2	1	no	—
365	C₂₉×#117	—	2	1	no	—
366	C₂₉×#117	—	2	1	no	—
367	C₂₉×#117	—	2	1	no	—
368	C₂₉×#117	—	2	1	no	—
369	C₂₉×#117	—	2	1	no	—
370	C₂₉×#117	—	2	1	no	—
371	C₂₉×#117	—	2	1	no	—
372	C₂₉×#117	—	2	1	no	—
373	C₂₉×#117	—	2	1	no	—
374	C₂₉×#117	—	2	1	no	—
375	C₂₉×#117	D₄	1	1	yes	characteristic
376	C₂₉×#117	D₄	1	1	yes	characteristic
377	C₂₉×#117	D₄	1	1	yes	characteristic
378	C₂₉×#117	C₂³	1	1	yes	characteristic
379	C₂₉×#117	C₂³	1	1	yes	characteristic
380	C₂₉×#117	C₂³	1	1	yes	characteristic
381	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
382	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
383	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
384	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
385	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
386	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
387	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
388	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
394	C₂×C₄²×C₂₉	—	2	1	no	—
395	C₂×C₄²×C₂₉	—	2	1	no	—
396	C₂×C₄²×C₂₉	—	2	1	no	—
397	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
400	C₂₉×#107	C₂³	1	1	yes	characteristic
401	C₂₉×#107	C₂³	1	1	yes	characteristic
402	C₂₉×#107	C₂³	1	1	yes	characteristic
403	C₂₉×#107	C₂³	1	1	yes	characteristic
404	C₂₉×#107	C₂³	1	1	yes	characteristic
405	C₂₉×#107	C₂³	1	1	yes	characteristic
406	C₂₉×#107	C₂³	1	1	yes	characteristic
407	C₂₉×#107	C₂³	1	1	yes	characteristic
408	C₂₉×#107	C₂³	1	1	yes	characteristic
409	C₂₉×#107	C₂³	1	1	yes	characteristic
410	C₂₉×#107	C₂³	1	1	yes	characteristic
411	C₂₉×#107	C₂³	1	1	yes	characteristic
412	C₂₉×#106	C₂³	1	1	yes	characteristic
413	C₂₉×#106	C₂³	1	1	yes	characteristic
414	C₂₉×#106	C₂³	1	1	yes	characteristic
415	C₂₉×#106	C₂³	1	1	yes	characteristic
416	C₂₉×#106	C₂³	1	1	yes	characteristic
417	C₂₉×#106	C₂³	1	1	yes	characteristic
418	C₂₉×#106	C₂³	1	1	yes	characteristic
419	C₂₉×#106	C₂³	1	1	yes	characteristic
420	C₂₉×#106	C₂³	1	1	yes	characteristic
421	C₂₉×#106	C₂³	1	1	yes	characteristic
422	C₂₉×#106	C₂³	1	1	yes	characteristic
423	C₂₉×#106	C₂³	1	1	yes	characteristic
424	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₂₉×#103	C₂³	1	1	yes	characteristic
435	C₂₉×#103	C₂³	1	1	yes	characteristic
436	C₂₉×#103	C₂³	1	1	yes	characteristic
437	C₂₉×#103	C₂³	1	1	yes	characteristic
438	C₂₉×#103	C₂³	1	1	yes	characteristic
439	C₂₉×#103	C₂³	1	1	yes	characteristic
440	C₂₉×#103	C₂³	1	1	yes	characteristic
441	C₂₉×#103	C₂³	1	1	yes	characteristic
442	C₂₉×#103	C₂³	1	1	yes	characteristic
443	C₂₉×#103	C₂³	1	1	yes	characteristic
444	C₂₉×#103	C₂³	1	1	yes	characteristic
445	C₂₉×#103	C₂³	1	1	yes	characteristic
446	C₂₉×#103	C₂³	1	1	yes	characteristic
447	C₂₉×#103	C₂³	1	1	yes	characteristic
448	C₂₉×#103	C₂³	1	1	yes	characteristic
449	C₂₉×#103	C₂³	1	1	yes	characteristic
450	C₂₉×#103	C₂³	1	1	yes	characteristic
451	C₂₉×#103	C₂³	1	1	yes	characteristic
452	C₂₉×#103	C₂³	1	1	yes	characteristic
453	C₂₉×#103	C₂³	1	1	yes	characteristic
454	C₂₉×#103	C₂³	1	1	yes	characteristic
455	C₂₉×#103	C₂³	1	1	yes	characteristic
456	C₂₉×#102	C₂³	1	1	yes	characteristic
457	C₂₉×#102	C₂³	1	1	yes	characteristic
458	C₂₉×#102	C₂³	1	1	yes	characteristic
459	C₂₉×#102	C₂³	1	1	yes	characteristic
460	C₂₉×#102	C₂³	1	1	yes	characteristic
461	C₂₉×#102	C₂³	1	1	yes	characteristic
462	C₂₉×#102	C₂³	1	1	yes	characteristic
463	C₂₉×#102	C₂³	1	1	yes	characteristic
464	C₂₉×#102	C₂³	1	1	yes	characteristic
465	C₂₉×#102	C₂³	1	1	yes	characteristic
466	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₂₉×#97	C₂³	1	1	yes	characteristic
473	C₂₉×#97	C₂³	1	1	yes	characteristic
474	C₂₉×#97	C₂³	1	1	yes	characteristic
475	C₂₉×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
478	#41×C₂₉	—	2	2	no	—
479	#41×C₂₉	—	4	2	no	—
480	#41×C₂₉	—	4	1	no	—
481	#41×C₂₉	—	4	4	no	—
482	#41×C₂₉	—	4	4	no	—
483	C₂×Q₈×C₂₉	—	2	1	no	—
484	C₂×Q₈×C₂₉	—	2	1	no	—
485	C₂×Q₈×C₂₉	—	2	1	no	—
486	C₂×Q₈×C₂₉	—	2	1	no	—
487	C₂×Q₈×C₂₉	—	2	1	no	—
488	C₂×Q₈×C₂₉	—	2	2	no	—
489	C₂×Q₈×C₂₉	—	2	2	no	—
490	C₂×Q₈×C₂₉	—	4	1	no	—
491	C₂×Q₈×C₂₉	—	4	1	no	—
492	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₂₉	—	2	1	no	—
498	C₂×D₄×C₂₉	—	2	1	no	—
499	C₂×D₄×C₂₉	—	2	1	no	—
500	C₂×D₄×C₂₉	—	2	1	no	—
501	C₂×D₄×C₂₉	—	2	1	no	—
502	C₂×D₄×C₂₉	—	2	1	no	—
503	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₂₉	—	2	1	no	—
509	C₂²×C₄×C₂₉	—	2	1	no	—
510	C₂²×C₄×C₂₉	—	2	1	no	—
511	C₂²×C₄×C₂₉	—	2	1	no	—
512	C₂²×C₄×C₂₉	—	2	1	no	—
513	C₂²×C₄×C₂₉	—	2	1	no	—
514	C₂²×C₄×C₂₉	—	2	1	no	—
515	C₂²×C₄×C₂₉	—	2	1	no	—
516	C₂²×C₄×C₂₉	—	2	1	no	—
517	C₂²×C₄×C₂₉	—	2	1	no	—
518	C₂²×C₄×C₂₉	—	2	1	no	—
519	C₂²×C₄×C₂₉	—	2	1	no	—
520	C₂²×C₄×C₂₉	—	2	1	no	—
521	C₂²×C₄×C₂₉	—	2	1	no	—
522	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
531	Q₁₆×C₂₉	—	2	2	no	—
532	Q₁₆×C₂₉	—	4	1	no	—
533	Q₁₆×C₂₉	—	4	1	no	—
534	SD₁₆×C₂₉	—	2	2	no	—
535	SD₁₆×C₂₉	—	4	1	no	—
536	SD₁₆×C₂₉	—	4	1	no	—
537	SD₁₆×C₂₉	—	4	1	no	—
538	D₈×C₂₉	—	4	1	no	—
539	M₁₆×C₂₉	—	4	1	no	—
540	M₁₆×C₂₉	—	4	1	no	—
541	M₁₆×C₂₉	—	4	1	no	—
542	M₁₆×C₂₉	—	4	1	no	—
543	C₂×C₈×C₂₉	—	4	1	no	—
544	C₂×C₈×C₂₉	—	4	1	no	—
545	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
553	C₄⋊C₄×C₂₉	—	2	1	no	—
554	C₄⋊C₄×C₂₉	—	2	1	no	—
555	C₄⋊C₄×C₂₉	—	2	1	no	—
556	C₄⋊C₄×C₂₉	—	2	1	no	—
557	C₄⋊C₄×C₂₉	—	2	1	no	—
558	C₄⋊C₄×C₂₉	—	2	1	no	—
559	C₄⋊C₄×C₂₉	—	2	1	no	—
560	C₄⋊C₄×C₂₉	—	2	1	no	—
561	C₄⋊C₄×C₂₉	—	2	1	no	—
562	C₄⋊C₄×C₂₉	—	2	1	no	—
563	C₄⋊C₄×C₂₉	—	2	1	no	—
564	C₄⋊C₄×C₂₉	—	2	1	no	—
565	C₄⋊C₄×C₂₉	—	2	1	no	—
566	C₄⋊C₄×C₂₉	—	2	1	no	—
567	C₄⋊C₄×C₂₉	—	2	1	no	—
568	C₄⋊C₄×C₂₉	—	2	1	no	—
569	C₄⋊C₄×C₂₉	—	2	1	no	—
570	C₄⋊C₄×C₂₉	—	2	1	no	—
571	C₄⋊C₄×C₂₉	—	2	1	no	—
572	C₄⋊C₄×C₂₉	—	2	1	no	—
573	C₄⋊C₄×C₂₉	—	2	1	no	—
574	C₄⋊C₄×C₂₉	—	2	1	no	—
575	C₄⋊C₄×C₂₉	—	2	1	no	—
576	C₄⋊C₄×C₂₉	—	2	1	no	—
577	C₄⋊C₄×C₂₉	—	2	1	no	—
578	C₄⋊C₄×C₂₉	—	2	1	no	—
579	C₄⋊C₄×C₂₉	—	2	1	no	—
580	C₄⋊C₄×C₂₉	—	2	1	no	—
581	C₄⋊C₄×C₂₉	—	2	1	no	—
582	C₄⋊C₄×C₂₉	—	2	1	no	—
583	C₄⋊C₄×C₂₉	—	2	1	no	—
584	C₄⋊C₄×C₂₉	—	2	1	no	—
585	C₄⋊C₄×C₂₉	—	2	1	no	—
586	C₄⋊C₄×C₂₉	—	2	1	no	—
587	C₄⋊C₄×C₂₉	—	2	1	no	—
588	C₄⋊C₄×C₂₉	—	2	1	no	—
589	C₄⋊C₄×C₂₉	—	2	1	no	—
590	C₄⋊C₄×C₂₉	—	2	1	no	—
591	C₄⋊C₄×C₂₉	—	2	1	no	—
592	C₄⋊C₄×C₂₉	—	2	1	no	—
593	C₄⋊C₄×C₂₉	—	2	1	no	—
594	C₄⋊C₄×C₂₉	—	2	1	no	—
595	C₄⋊C₄×C₂₉	—	2	1	no	—
596	C₄⋊C₄×C₂₉	—	2	1	no	—
597	C₄⋊C₄×C₂₉	—	2	1	no	—
598	C₄⋊C₄×C₂₉	—	2	1	no	—
599	C₄⋊C₄×C₂₉	—	2	1	no	—
600	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
616	C₂²⋊C₄×C₂₉	—	2	1	no	—
617	C₂²⋊C₄×C₂₉	—	2	1	no	—
618	C₂²⋊C₄×C₂₉	—	2	1	no	—
619	C₂²⋊C₄×C₂₉	—	2	1	no	—
620	C₂²⋊C₄×C₂₉	—	2	1	no	—
621	C₂²⋊C₄×C₂₉	—	2	1	no	—
622	C₂²⋊C₄×C₂₉	—	2	1	no	—
623	C₂²⋊C₄×C₂₉	—	2	1	no	—
624	C₂²⋊C₄×C₂₉	—	2	1	no	—
625	C₂²⋊C₄×C₂₉	—	2	1	no	—
626	C₂²⋊C₄×C₂₉	—	2	1	no	—
627	C₂²⋊C₄×C₂₉	—	2	1	no	—
628	C₂²⋊C₄×C₂₉	—	2	1	no	—
629	C₂²⋊C₄×C₂₉	—	2	1	no	—
630	C₂²⋊C₄×C₂₉	—	2	1	no	—
631	C₂²⋊C₄×C₂₉	—	2	1	no	—
632	C₂²⋊C₄×C₂₉	—	2	1	no	—
633	C₂²⋊C₄×C₂₉	—	2	1	no	—
634	C₂²⋊C₄×C₂₉	—	2	1	no	—
635	C₂²⋊C₄×C₂₉	—	2	1	no	—
636	C₂²⋊C₄×C₂₉	—	2	1	no	—
637	C₂²⋊C₄×C₂₉	—	2	1	no	—
638	C₂²⋊C₄×C₂₉	—	2	1	no	—
639	C₂²⋊C₄×C₂₉	—	2	1	no	—
640	C₂²⋊C₄×C₂₉	—	2	1	no	—
641	C₂²⋊C₄×C₂₉	—	2	1	no	—
642	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
648	C₄²×C₂₉	—	2	1	no	—
649	C₄²×C₂₉	—	2	1	no	—
650	C₄²×C₂₉	—	2	1	no	—
651	C₄²×C₂₉	—	2	1	no	—
652	C₄²×C₂₉	—	2	1	no	—
653	C₄²×C₂₉	—	2	1	no	—
654	C₄²×C₂₉	—	2	1	no	—
655	C₄²×C₂₉	—	2	1	no	—
656	C₄²×C₂₉	—	2	1	no	—
657	C₄²×C₂₉	—	2	1	no	—
658	C₄²×C₂₉	—	2	1	no	—
659	C₄²×C₂₉	—	2	1	no	—
660	C₄²×C₂₉	—	2	1	no	—
661	C₄²×C₂₉	—	2	1	no	—
662	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
669	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
670	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
671	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
672	#62120	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
673	C₂³×C₂₉	—	2	1	no	—
674	C₂³×C₂₉	—	2	1	no	—
675	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
676	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
677	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
678	Q₈×C₂₉	—	2	1	no	—
679	Q₈×C₂₉	—	2	1	no	—
680	Q₈×C₂₉	—	2	1	no	—
681	Q₈×C₂₉	—	2	1	no	—
682	Q₈×C₂₉	—	2	1	no	—
683	Q₈×C₂₉	—	2	1	no	—
684	Q₈×C₂₉	—	2	1	no	—
685	Q₈×C₂₉	—	4	1	no	—
686	Q₈×C₂₉	—	4	2	no	—
687	Q₈×C₂₉	—	4	2	no	—
688	Q₈×C₂₉	—	4	2	no	—
689	Q₈×C₂₉	—	4	2	no	—
690	Q₈×C₂₉	—	8	1	no	—
691	Q₈×C₂₉	2₋¹⁺⁴	1	2	yes	—
692	D₄×C₂₉	—	2	2	no	—
693	D₄×C₂₉	—	2	2	no	—
694	D₄×C₂₉	—	2	1	no	—
695	D₄×C₂₉	—	2	1	no	—
696	D₄×C₂₉	—	2	1	no	—
697	D₄×C₂₉	—	2	1	no	—
698	D₄×C₂₉	—	4	1	no	—
699	D₄×C₂₉	—	4	2	no	—
700	D₄×C₂₉	—	4	2	no	—
701	D₄×C₂₉	—	4	2	no	—
702	D₄×C₂₉	—	4	2	no	—
703	D₄×C₂₉	—	4	2	no	—
704	D₄×C₂₉	—	8	1	no	—
705	C₂×C₄×C₂₉	—	2	2	no	—
706	C₂×C₄×C₂₉	—	2	1	no	—
707	C₂×C₄×C₂₉	—	2	1	no	—
708	C₂×C₄×C₂₉	—	2	1	no	—
709	C₂×C₄×C₂₉	—	2	1	no	—
710	C₂×C₄×C₂₉	—	2	1	no	—
711	C₂×C₄×C₂₉	—	2	1	no	—
712	C₂×C₄×C₂₉	—	2	1	no	—
713	C₂×C₄×C₂₉	—	2	1	no	—
714	C₂×C₄×C₂₉	—	2	1	no	—
715	C₂×C₄×C₂₉	—	2	1	no	—
716	C₂×C₄×C₂₉	—	2	1	no	—
717	C₂×C₄×C₂₉	—	2	1	no	—
718	C₂×C₄×C₂₉	—	2	1	no	—
719	C₂×C₄×C₂₉	—	2	1	no	—
720	C₂×C₄×C₂₉	—	2	1	no	—
721	C₂×C₄×C₂₉	—	2	1	no	—
722	C₂×C₄×C₂₉	—	2	1	no	—
723	C₂×C₄×C₂₉	—	2	1	no	—
724	C₂×C₄×C₂₉	—	2	1	no	—
725	C₂×C₄×C₂₉	—	2	1	no	—
726	C₂×C₄×C₂₉	—	4	1	no	—
727	C₂×C₄×C₂₉	—	4	1	no	—
728	C₂×C₄×C₂₉	—	4	1	no	—
729	C₂×C₄×C₂₉	—	4	1	no	—
730	C₂×C₄×C₂₉	—	4	1	no	—
731	C₂×C₄×C₂₉	—	4	2	no	—
732	C₂×C₄×C₂₉	—	4	2	no	—
733	C₂×C₄×C₂₉	—	4	2	no	—
734	C₂×C₄×C₂₉	—	4	2	no	—
735	C₂×C₄×C₂₉	—	4	2	no	—
736	C₂×C₄×C₂₉	—	4	2	no	—
737	C₂×C₄×C₂₉	—	4	2	no	—
738	C₂×C₄×C₂₉	—	4	2	no	—
739	C₂×C₄×C₂₉	—	4	2	no	—
740	C₂×C₄×C₂₉	—	4	2	no	—
741	C₂×C₄×C₂₉	—	8	1	no	—
742	C₂×C₄×C₂₉	—	8	1	no	—
743	C₂×C₄×C₂₉	—	8	1	no	—
744	C₂×C₄×C₂₉	—	8	1	no	—
745	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
757	C₈×C₂₉	—	2	1	no	—
758	C₈×C₂₉	—	2	1	no	—
759	C₈×C₂₉	—	2	1	no	—
760	C₈×C₂₉	—	2	1	no	—
761	C₈×C₂₉	—	2	1	no	—
762	C₈×C₂₉	—	2	1	no	—
763	C₈×C₂₉	—	2	1	no	—
764	C₈×C₂₉	—	2	1	no	—
765	#3515	C₂×C₂₉	1	1	yes	characteristic, complemented
766	#3482	C₂×C₂₉	1	1	yes	characteristic, complemented
767	#3390	C₂×C₂₉	1	1	yes	characteristic, complemented
768	#3388	C₂×C₂₉	1	1	yes	characteristic, complemented
769	#3377	C₂×C₂₉	1	1	yes	characteristic, complemented
770	#3376	C₂×C₂₉	1	1	yes	characteristic, complemented
771	#3352	C₂×C₂₉	1	1	yes	characteristic, complemented
772	#3351	C₂×C₂₉	1	1	yes	characteristic, complemented
773	#3345	C₂×C₂₉	1	1	yes	characteristic, complemented
774	#3344	C₂×C₂₉	1	1	yes	characteristic, complemented
775	#3343	C₂×C₂₉	1	1	yes	characteristic, complemented
776	#3343	C₂×C₂₉	1	1	yes	characteristic, complemented
777	#3327	C₂×C₂₉	1	1	yes	characteristic, complemented
778	#3326	C₂×C₂₉	1	1	yes	characteristic, complemented
779	#3320	C₂×C₂₉	1	1	yes	characteristic, complemented
780	#3316	C₂×C₂₉	1	1	yes	characteristic, complemented
781	#3312	C₂×C₂₉	1	1	yes	characteristic, complemented
782	#3308	C₂×C₂₉	1	1	yes	characteristic, complemented
783	#3256	C₂×C₂₉	1	1	yes	characteristic, complemented
784	#3252	C₂×C₂₉	1	1	yes	characteristic, complemented
785	#3250	C₂×C₂₉	1	1	yes	characteristic, complemented
786	#3240	C₂×C₂₉	1	1	yes	characteristic, complemented
787	#3236	C₂×C₂₉	1	1	yes	characteristic, complemented
788	#3232	C₂×C₂₉	1	1	yes	characteristic, complemented
789	#3117	C₂×C₂₉	1	1	yes	characteristic, complemented
790	#3111	C₂×C₂₉	1	1	yes	characteristic, complemented
791	#3108	C₂×C₂₉	1	1	yes	characteristic, complemented
792	#3080	C₂×C₂₉	1	1	yes	characteristic, complemented
793	#3078	C₂×C₂₉	1	1	yes	characteristic, complemented
794	C₂×#479	C₂×C₂₉	1	1	yes	characteristic, complemented
795	#2989	C₂×C₂₉	1	1	yes	characteristic, complemented
796	C₂²×C₂₉	—	2	1	no	—
797	C₂²×C₂₉	—	2	1	no	—
798	C₂²×C₂₉	—	2	1	no	—
799	C₂²×C₂₉	—	2	1	no	—
800	C₂²×C₂₉	—	2	1	no	—
801	C₂²×C₂₉	—	2	1	no	—
802	C₂²×C₂₉	—	2	1	no	—
803	C₂²×C₂₉	—	2	1	no	—
804	C₂²×C₂₉	—	4	1	no	—
805	C₂²×C₂₉	—	4	1	no	—
806	C₂²×C₂₉	—	4	1	no	—
807	C₂²×C₂₉	—	4	1	no	—
808	C₂²×C₂₉	—	4	1	no	—
809	C₂²×C₂₉	—	4	1	no	—
810	C₂²×C₂₉	#575	1	2	yes	—
811	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
812	C₄×C₂₉	—	2	1	no	—
813	C₄×C₂₉	—	2	1	no	—
814	C₄×C₂₉	—	2	1	no	—
815	C₄×C₂₉	—	2	1	no	—
816	C₄×C₂₉	—	2	1	no	—
817	C₄×C₂₉	—	2	1	no	—
818	C₄×C₂₉	—	2	1	no	—
819	C₄×C₂₉	—	2	2	no	—
820	C₄×C₂₉	—	2	1	no	—
821	C₄×C₂₉	—	2	1	no	—
822	C₄×C₂₉	—	2	1	no	—
823	C₄×C₂₉	—	2	1	no	—
824	C₄×C₂₉	—	4	1	no	—
825	C₄×C₂₉	—	4	1	no	—
826	C₄×C₂₉	—	4	1	no	—
827	C₄×C₂₉	—	4	1	no	—
828	C₄×C₂₉	—	4	1	no	—
829	C₄×C₂₉	—	4	1	no	—
830	C₄×C₂₉	—	4	1	no	—
831	C₄×C₂₉	—	4	1	no	—
832	C₄×C₂₉	—	4	1	no	—
833	C₄×C₂₉	—	4	1	no	—
834	C₄×C₂₉	—	4	1	no	—
835	C₄×C₂₉	—	4	1	no	—
836	C₄×C₂₉	—	4	1	no	—
837	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
838	C₄×C₂₉	#585	1	1	yes	characteristic
839	#557	C₂²×C₂₉	1	1	yes	characteristic
840	#557	C₂²×C₂₉	1	1	yes	characteristic
841	#556	—	2	1	no	—
842	#556	C₂²×C₂₉	1	1	yes	characteristic
843	#554	C₂²×C₂₉	1	1	yes	characteristic
844	#554	C₂²×C₂₉	1	1	yes	characteristic
845	#553	C₂²×C₂₉	1	1	yes	characteristic
846	#553	C₂²×C₂₉	1	1	yes	characteristic
847	#552	—	2	1	no	—
848	#552	—	2	1	no	—
849	#552	—	2	1	no	—
850	#552	—	2	1	no	—
851	#552	—	2	1	no	—
852	#552	C₂²×C₂₉	1	1	yes	characteristic
853	#552	C₂²×C₂₉	1	1	yes	characteristic
854	#552	C₂²×C₂₉	1	1	yes	characteristic
855	#552	C₂²×C₂₉	1	1	yes	characteristic
856	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
857	#548	C₂²×C₂₉	1	1	yes	characteristic
858	#548	C₂²×C₂₉	1	1	yes	characteristic
859	#547	—	2	1	no	—
860	#547	—	2	1	no	—
861	#547	C₂²×C₂₉	1	1	yes	characteristic
862	#547	C₂²×C₂₉	1	1	yes	characteristic
863	#541	—	2	1	no	—
864	#539	—	2	1	no	—
865	#539	—	2	1	no	—
866	#533	—	2	1	no	—
867	#533	C₂²×C₂₉	1	1	yes	characteristic
868	#533	C₂²×C₂₉	1	1	yes	characteristic
869	#529	—	2	1	no	—
870	#529	—	2	1	no	—
871	#529	C₂²×C₂₉	1	1	yes	characteristic
872	#529	C₂²×C₂₉	1	1	yes	characteristic
873	#529	C₂²×C₂₉	1	1	yes	characteristic
874	#529	C₂²×C₂₉	1	1	yes	characteristic
875	#529	C₂²×C₂₉	1	1	yes	characteristic
876	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
877	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
878	#520	—	2	1	no	—
879	C₄×#41	—	2	1	no	—
880	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
881	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
882	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
883	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
884	#501	C₂²×C₂₉	1	1	yes	characteristic
885	#501	C₂²×C₂₉	1	1	yes	characteristic
886	#501	C₂²×C₂₉	1	1	yes	characteristic
887	#501	C₂²×C₂₉	1	1	yes	characteristic
888	#499	C₂²×C₂₉	1	1	yes	characteristic
889	#499	C₂²×C₂₉	1	1	yes	characteristic
890	#491	C₂²×C₂₉	1	1	yes	characteristic
891	#491	C₂²×C₂₉	1	1	yes	characteristic
892	#489	C₂²×C₂₉	1	1	yes	characteristic
893	#489	C₂²×C₂₉	1	1	yes	characteristic
894	#488	C₂²×C₂₉	1	1	yes	characteristic
895	#488	C₂²×C₂₉	1	1	yes	characteristic
896	#485	C₂²×C₂₉	1	1	yes	characteristic
897	#485	C₂²×C₂₉	1	1	yes	characteristic
898	#485	C₂²×C₂₉	1	1	yes	characteristic
899	#484	C₂²×C₂₉	1	1	yes	characteristic
900	#484	C₂²×C₂₉	1	1	yes	characteristic
901	#484	C₂²×C₂₉	1	1	yes	characteristic
902	#484	C₂²×C₂₉	1	1	yes	characteristic
903	#483	C₂²×C₂₉	1	1	yes	characteristic
904	#483	C₂²×C₂₉	1	1	yes	characteristic
905	#483	C₂²×C₂₉	1	1	yes	characteristic
906	#483	C₂²×C₂₉	1	1	yes	characteristic
907	#482	C₂²×C₂₉	1	1	yes	characteristic
908	#482	C₂²×C₂₉	1	1	yes	characteristic
909	#482	C₂²×C₂₉	1	1	yes	characteristic
910	#481	C₂²×C₂₉	1	1	yes	characteristic
911	#481	C₂²×C₂₉	1	1	yes	characteristic
912	#480	C₂²×C₂₉	1	1	yes	characteristic
913	#480	C₂²×C₂₉	1	1	yes	characteristic
914	#479	C₂²×C₂₉	1	1	yes	characteristic
915	#479	C₂²×C₂₉	1	1	yes	characteristic
916	#479	C₂²×C₂₉	1	1	yes	characteristic
917	#479	C₂²×C₂₉	1	1	yes	characteristic
918	#479	C₂²×C₂₉	1	1	yes	characteristic
919	#479	C₂²×C₂₉	1	1	yes	characteristic
920	#479	C₂²×C₂₉	1	1	yes	characteristic
921	#479	C₂²×C₂₉	1	1	yes	characteristic
922	#479	C₂²×C₂₉	1	1	yes	characteristic
923	#479	C₂²×C₂₉	1	1	yes	characteristic
924	#479	C₂²×C₂₉	1	1	yes	characteristic
925	#479	C₂²×C₂₉	1	1	yes	characteristic
926	#479	C₂²×C₂₉	1	1	yes	characteristic
927	#479	C₂²×C₂₉	1	1	yes	characteristic
928	#479	C₂²×C₂₉	1	1	yes	characteristic
929	#479	C₂²×C₂₉	1	1	yes	characteristic
930	#479	C₂²×C₂₉	1	1	yes	characteristic
931	#478	C₂²×C₂₉	1	1	yes	characteristic
932	#478	C₂²×C₂₉	1	1	yes	characteristic
933	#478	C₂²×C₂₉	1	1	yes	characteristic
934	#478	C₂²×C₂₉	1	1	yes	characteristic
935	#478	C₂²×C₂₉	1	1	yes	characteristic
936	#478	C₂²×C₂₉	1	1	yes	characteristic
937	#478	C₂²×C₂₉	1	1	yes	characteristic
938	#477	C₂²×C₂₉	1	1	yes	characteristic
939	#477	C₂²×C₂₉	1	1	yes	characteristic
940	#477	C₂²×C₂₉	1	1	yes	characteristic
941	#476	C₂²×C₂₉	1	1	yes	characteristic
942	#475	C₂²×C₂₉	1	1	yes	characteristic
943	#475	C₂²×C₂₉	1	1	yes	characteristic
944	#470	C₂²×C₂₉	1	1	yes	characteristic
945	#470	C₂²×C₂₉	1	1	yes	characteristic
946	#470	C₂²×C₂₉	1	1	yes	characteristic
947	#469	C₂²×C₂₉	1	1	yes	characteristic
948	#468	C₂²×C₂₉	1	1	yes	characteristic
949	#468	C₂²×C₂₉	1	1	yes	characteristic
950	#468	C₂²×C₂₉	1	1	yes	characteristic
951	#468	C₂²×C₂₉	1	1	yes	characteristic
952	#467	C₂²×C₂₉	1	1	yes	characteristic
953	#466	C₂²×C₂₉	1	1	yes	characteristic
954	#465	C₂²×C₂₉	1	1	yes	characteristic
955	#465	C₂²×C₂₉	1	1	yes	characteristic
956	#464	C₂²×C₂₉	1	1	yes	characteristic
957	#464	C₂²×C₂₉	1	1	yes	characteristic
958	#464	C₂²×C₂₉	1	1	yes	characteristic
959	#464	C₂²×C₂₉	1	1	yes	characteristic
960	#464	C₂²×C₂₉	1	1	yes	characteristic
961	#463	C₂²×C₂₉	1	1	yes	characteristic
962	#463	C₂²×C₂₉	1	1	yes	characteristic
963	#463	C₂²×C₂₉	1	1	yes	characteristic
964	#462	C₂²×C₂₉	1	1	yes	characteristic
965	#461	C₂²×C₂₉	1	1	yes	characteristic
966	#452	C₂²×C₂₉	1	1	yes	characteristic
967	#451	C₂²×C₂₉	1	1	yes	characteristic
968	#451	C₂²×C₂₉	1	1	yes	characteristic
969	#449	C₂²×C₂₉	1	1	yes	characteristic
970	#448	C₂²×C₂₉	1	1	yes	characteristic
971	#448	C₂²×C₂₉	1	1	yes	characteristic
972	#446	C₂²×C₂₉	1	1	yes	characteristic
973	#446	C₂²×C₂₉	1	1	yes	characteristic
974	#442	C₂²×C₂₉	1	1	yes	characteristic
975	#441	C₂²×C₂₉	1	1	yes	characteristic
976	#441	C₂²×C₂₉	1	1	yes	characteristic
977	#441	C₂²×C₂₉	1	1	yes	characteristic
978	#440	C₂²×C₂₉	1	1	yes	characteristic
979	#440	C₂²×C₂₉	1	1	yes	characteristic
980	#440	C₂²×C₂₉	1	1	yes	characteristic
981	#440	C₂²×C₂₉	1	1	yes	characteristic
982	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
983	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
984	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
985	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
986	#436	C₂²×C₂₉	1	1	yes	characteristic
987	#436	C₂²×C₂₉	1	1	yes	characteristic
988	#435	C₂²×C₂₉	1	1	yes	characteristic
989	#435	C₂²×C₂₉	1	1	yes	characteristic
990	#435	C₂²×C₂₉	1	1	yes	characteristic
991	#435	C₂²×C₂₉	1	1	yes	characteristic
992	#432	C₂²×C₂₉	1	1	yes	characteristic
993	#432	C₂²×C₂₉	1	1	yes	characteristic
994	#431	C₂²×C₂₉	1	1	yes	characteristic
995	#428	C₂²×C₂₉	1	1	yes	characteristic
996	#428	C₂²×C₂₉	1	1	yes	characteristic
997	#428	C₂²×C₂₉	1	1	yes	characteristic
998	#428	C₂²×C₂₉	1	1	yes	characteristic
999	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
1000	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
1001	#423	C₂²×C₂₉	1	1	yes	characteristic
1002	#423	C₂²×C₂₉	1	1	yes	characteristic
1003	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
1004	#419	C₂²×C₂₉	1	1	yes	characteristic
1005	#419	C₂²×C₂₉	1	1	yes	characteristic
1006	#417	C₂²×C₂₉	1	1	yes	characteristic
1007	#417	C₂²×C₂₉	1	1	yes	characteristic
1008	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
1009	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
1010	C₂×C₂₉	—	2	2	no	—
1011	C₂×C₂₉	—	4	1	no	—
1012	C₂×C₂₉	—	4	1	no	—
1013	C₂×C₂₉	—	8	1	no	—
1014	C₂×C₂₉	—	8	1	no	—
1015	C₂×C₂₉	#3489	1	1	yes	characteristic
1016	C₂×C₂₉	C₂×#575	1	1	yes	characteristic
1017	C₂×C₂₉	#3586	1	1	yes	characteristic
1018	C₂×#41	—	2	1	no	—
1019	C₂×#41	—	2	1	no	—
1020	C₂×#41	D₄×C₂₉	1	1	yes	characteristic
1021	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1022	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1023	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1024	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1027	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1028	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1030	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1031	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1032	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1033	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1034	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1035	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1036	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1037	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1038	C₄⋊Q₈	—	2	1	no	—
1039	C₄⋊Q₈	—	2	1	no	—
1040	C₄⋊Q₈	—	2	1	no	—
1041	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1042	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1044	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	2	1	no	—
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	2	1	no	—
1060	#125	—	2	1	no	—
1061	#125	—	2	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	C₂³×C₂₉	1	1	yes	characteristic
1073	#125	C₂³×C₂₉	1	1	yes	characteristic
1074	#125	C₂³×C₂₉	1	1	yes	characteristic
1075	#125	C₂³×C₂₉	1	1	yes	characteristic
1076	#125	C₂³×C₂₉	1	1	yes	characteristic
1077	#125	C₂³×C₂₉	1	1	yes	characteristic
1078	#125	C₂³×C₂₉	1	1	yes	characteristic
1079	#125	C₂³×C₂₉	1	1	yes	characteristic
1080	#125	C₂³×C₂₉	1	1	yes	characteristic
1081	#124	—	2	1	no	—
1082	#124	—	2	1	no	—
1083	#124	C₂³×C₂₉	1	1	yes	characteristic
1084	#124	C₂³×C₂₉	1	1	yes	characteristic
1085	#124	C₂³×C₂₉	1	1	yes	characteristic
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1117	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1118	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1119	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1120	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1123	#121	—	2	1	no	—
1124	#121	—	2	1	no	—
1125	#121	—	2	1	no	—
1126	#121	—	2	1	no	—
1127	#121	C₂³×C₂₉	1	1	yes	characteristic
1128	#121	C₂³×C₂₉	1	1	yes	characteristic
1129	#121	C₂³×C₂₉	1	1	yes	characteristic
1130	#121	C₂³×C₂₉	1	1	yes	characteristic
1131	#121	C₂³×C₂₉	1	1	yes	characteristic
1132	C₄×Q₈	—	2	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	—	2	1	no	—
1139	C₄×Q₈	—	2	1	no	—
1140	C₄×Q₈	—	2	1	no	—
1141	C₄×Q₈	D₄×C₂₉	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1146	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1149	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1150	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
1168	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
1169	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1174	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1176	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	—	2	1	no	—
1186	#117	—	2	1	no	—
1187	#117	—	2	1	no	—
1188	#117	—	2	1	no	—
1189	#117	—	2	1	no	—
1190	#117	D₄×C₂₉	1	1	yes	characteristic
1191	#117	D₄×C₂₉	1	1	yes	characteristic
1192	#117	D₄×C₂₉	1	1	yes	characteristic
1193	#117	C₂³×C₂₉	1	1	yes	characteristic
1194	#117	C₂³×C₂₉	1	1	yes	characteristic
1195	#117	C₂³×C₂₉	1	1	yes	characteristic
1196	C₂×C₄⋊C₄	—	2	1	no	—
1197	C₂×C₄⋊C₄	—	2	1	no	—
1198	C₂×C₄⋊C₄	—	2	1	no	—
1199	C₂×C₄⋊C₄	—	2	1	no	—
1200	C₂×C₄⋊C₄	—	2	1	no	—
1201	C₂×C₄⋊C₄	—	2	1	no	—
1202	C₂×C₄⋊C₄	—	2	1	no	—
1203	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1204	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1207	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1208	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1209	C₂×C₄²	—	2	1	no	—
1210	C₂×C₄²	—	2	1	no	—
1211	C₂×C₄²	—	2	1	no	—
1212	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1213	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1214	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1215	#107	C₂³×C₂₉	1	1	yes	characteristic
1216	#107	C₂³×C₂₉	1	1	yes	characteristic
1217	#107	C₂³×C₂₉	1	1	yes	characteristic
1218	#107	C₂³×C₂₉	1	1	yes	characteristic
1219	#107	C₂³×C₂₉	1	1	yes	characteristic
1220	#107	C₂³×C₂₉	1	1	yes	characteristic
1221	#107	C₂³×C₂₉	1	1	yes	characteristic
1222	#107	C₂³×C₂₉	1	1	yes	characteristic
1223	#107	C₂³×C₂₉	1	1	yes	characteristic
1224	#107	C₂³×C₂₉	1	1	yes	characteristic
1225	#107	C₂³×C₂₉	1	1	yes	characteristic
1226	#107	C₂³×C₂₉	1	1	yes	characteristic
1227	#106	C₂³×C₂₉	1	1	yes	characteristic
1228	#106	C₂³×C₂₉	1	1	yes	characteristic
1229	#106	C₂³×C₂₉	1	1	yes	characteristic
1230	#106	C₂³×C₂₉	1	1	yes	characteristic
1231	#106	C₂³×C₂₉	1	1	yes	characteristic
1232	#106	C₂³×C₂₉	1	1	yes	characteristic
1233	#106	C₂³×C₂₉	1	1	yes	characteristic
1234	#106	C₂³×C₂₉	1	1	yes	characteristic
1235	#106	C₂³×C₂₉	1	1	yes	characteristic
1236	#106	C₂³×C₂₉	1	1	yes	characteristic
1237	#106	C₂³×C₂₉	1	1	yes	characteristic
1238	#106	C₂³×C₂₉	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1249	#103	C₂³×C₂₉	1	1	yes	characteristic
1250	#103	C₂³×C₂₉	1	1	yes	characteristic
1251	#103	C₂³×C₂₉	1	1	yes	characteristic
1252	#103	C₂³×C₂₉	1	1	yes	characteristic
1253	#103	C₂³×C₂₉	1	1	yes	characteristic
1254	#103	C₂³×C₂₉	1	1	yes	characteristic
1255	#103	C₂³×C₂₉	1	1	yes	characteristic
1256	#103	C₂³×C₂₉	1	1	yes	characteristic
1257	#103	C₂³×C₂₉	1	1	yes	characteristic
1258	#103	C₂³×C₂₉	1	1	yes	characteristic
1259	#103	C₂³×C₂₉	1	1	yes	characteristic
1260	#103	C₂³×C₂₉	1	1	yes	characteristic
1261	#103	C₂³×C₂₉	1	1	yes	characteristic
1262	#103	C₂³×C₂₉	1	1	yes	characteristic
1263	#103	C₂³×C₂₉	1	1	yes	characteristic
1264	#103	C₂³×C₂₉	1	1	yes	characteristic
1265	#103	C₂³×C₂₉	1	1	yes	characteristic
1266	#103	C₂³×C₂₉	1	1	yes	characteristic
1267	#103	C₂³×C₂₉	1	1	yes	characteristic
1268	#103	C₂³×C₂₉	1	1	yes	characteristic
1269	#103	C₂³×C₂₉	1	1	yes	characteristic
1270	#103	C₂³×C₂₉	1	1	yes	characteristic
1271	#102	C₂³×C₂₉	1	1	yes	characteristic
1272	#102	C₂³×C₂₉	1	1	yes	characteristic
1273	#102	C₂³×C₂₉	1	1	yes	characteristic
1274	#102	C₂³×C₂₉	1	1	yes	characteristic
1275	#102	C₂³×C₂₉	1	1	yes	characteristic
1276	#102	C₂³×C₂₉	1	1	yes	characteristic
1277	#102	C₂³×C₂₉	1	1	yes	characteristic
1278	#102	C₂³×C₂₉	1	1	yes	characteristic
1279	#102	C₂³×C₂₉	1	1	yes	characteristic
1280	#102	C₂³×C₂₉	1	1	yes	characteristic
1281	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1287	#97	C₂³×C₂₉	1	1	yes	characteristic
1288	#97	C₂³×C₂₉	1	1	yes	characteristic
1289	#97	C₂³×C₂₉	1	1	yes	characteristic
1290	#97	C₂³×C₂₉	1	1	yes	characteristic
1291	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1292	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1293	C₂₉	#62120	1	1	yes	characteristic, direct product factor, Sylow
1294	#41	—	2	2	no	—
1295	#41	—	4	2	no	—
1296	#41	—	4	1	no	—
1297	#41	—	4	4	no	—
1298	#41	—	4	4	no	—
1299	C₂×Q₈	—	2	1	no	—
1300	C₂×Q₈	—	2	1	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	2	1	no	—
1304	C₂×Q₈	—	2	2	no	—
1305	C₂×Q₈	—	2	2	no	—
1306	C₂×Q₈	—	4	1	no	—
1307	C₂×Q₈	—	4	1	no	—
1308	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
1309	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1310	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1311	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1312	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1320	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1321	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1322	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1323	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1339	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1340	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1341	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1342	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1343	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1347	Q₁₆	—	2	2	no	—
1348	Q₁₆	—	4	1	no	—
1349	Q₁₆	—	4	1	no	—
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	4	1	no	—
1352	SD₁₆	—	4	1	no	—
1353	SD₁₆	—	4	1	no	—
1354	D₈	—	4	1	no	—
1355	M₁₆	—	4	1	no	—
1356	M₁₆	—	4	1	no	—
1357	M₁₆	—	4	1	no	—
1358	M₁₆	—	4	1	no	—
1359	C₂×C₈	—	4	1	no	—
1360	C₂×C₈	—	4	1	no	—
1361	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1362	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1363	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1364	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1365	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1366	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1367	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1368	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1417	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1418	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1422	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1423	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1424	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1425	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1426	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1427	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	2	1	no	—
1467	C₄²	—	2	1	no	—
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1479	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1480	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1481	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1482	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1483	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1484	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1485	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1486	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1487	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1491	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1492	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	4	1	no	—
1501	Q₈	—	4	2	no	—
1502	Q₈	—	4	2	no	—
1503	Q₈	—	4	2	no	—
1504	Q₈	—	4	2	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	C₂₉×2₋¹⁺⁴	1	2	yes	—
1507	D₄	—	2	2	no	—
1508	D₄	—	2	2	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	4	1	no	—
1514	D₄	—	4	2	no	—
1515	D₄	—	4	2	no	—
1516	D₄	—	4	2	no	—
1517	D₄	—	4	2	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	8	1	no	—
1520	C₂×C₄	—	2	2	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	4	1	no	—
1542	C₂×C₄	—	4	1	no	—
1543	C₂×C₄	—	4	1	no	—
1544	C₂×C₄	—	4	1	no	—
1545	C₂×C₄	—	4	1	no	—
1546	C₂×C₄	—	4	2	no	—
1547	C₂×C₄	—	4	2	no	—
1548	C₂×C₄	—	4	2	no	—
1549	C₂×C₄	—	4	2	no	—
1550	C₂×C₄	—	4	2	no	—
1551	C₂×C₄	—	4	2	no	—
1552	C₂×C₄	—	4	2	no	—
1553	C₂×C₄	—	4	2	no	—
1554	C₂×C₄	—	4	2	no	—
1555	C₂×C₄	—	4	2	no	—
1556	C₂×C₄	—	8	1	no	—
1557	C₂×C₄	—	8	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	—	8	1	no	—
1560	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1561	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1562	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1563	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1564	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1565	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1566	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1567	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1568	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1569	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1570	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1571	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	C₂₉×#575	1	2	yes	—
1595	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	2	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	1	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
1622	C₄	C₂₉×#585	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	4	1	no	—
1625	C₂	—	4	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	8	1	no	—
1628	C₂	C₂₉×#3489	1	1	yes	characteristic
1629	C₂	C₂×C₂₉×#575	1	1	yes	characteristic
1630	C₂	C₂₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₄×#41×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3515	C₂	semidirect
2. C₂₉×#3482	C₂	semidirect
3. C₂₉×#3390	C₂	semidirect
4. C₂₉×#3388	C₂	semidirect
5. C₂₉×#3377	C₂	semidirect
6. C₂₉×#3376	C₂	semidirect
7. C₂₉×#3352	C₂	semidirect
8. C₂₉×#3351	C₂	semidirect
9. C₂₉×#3345	C₂	semidirect
10. C₂₉×#3344	C₂	semidirect
11. C₂₉×#3343	C₂	semidirect
12. C₂₉×#3343	C₂	semidirect
13. C₂₉×#3327	C₂	semidirect
14. C₂₉×#3326	C₂	semidirect
15. C₂₉×#3320	C₂	semidirect
16. C₂₉×#3316	C₂	semidirect
17. C₂₉×#3312	C₂	semidirect
18. C₂₉×#3308	C₂	semidirect
19. C₂₉×#3256	C₂	semidirect
20. C₂₉×#3252	C₂	semidirect
21. C₂₉×#3250	C₂	semidirect
22. C₂₉×#3240	C₂	semidirect
23. C₂₉×#3236	C₂	semidirect
24. C₂₉×#3232	C₂	semidirect
25. C₂₉×#3117	C₂	semidirect
26. C₂₉×#3111	C₂	semidirect
27. C₂₉×#3108	C₂	semidirect
28. C₂₉×#3080	C₂	semidirect
29. C₂₉×#3078	C₂	semidirect
30. C₂×C₂₉×#479	C₂	semidirect
31. C₂₉×#2989	C₂	semidirect
672. #62120	C₂₉	direct (N × H)
765. #3515	C₂×C₂₉	semidirect
766. #3482	C₂×C₂₉	semidirect
767. #3390	C₂×C₂₉	semidirect
768. #3388	C₂×C₂₉	semidirect
769. #3377	C₂×C₂₉	semidirect
770. #3376	C₂×C₂₉	semidirect
771. #3352	C₂×C₂₉	semidirect
772. #3351	C₂×C₂₉	semidirect
773. #3345	C₂×C₂₉	semidirect
774. #3344	C₂×C₂₉	semidirect
775. #3343	C₂×C₂₉	semidirect
776. #3343	C₂×C₂₉	semidirect
777. #3327	C₂×C₂₉	semidirect
778. #3326	C₂×C₂₉	semidirect
779. #3320	C₂×C₂₉	semidirect
780. #3316	C₂×C₂₉	semidirect
781. #3312	C₂×C₂₉	semidirect
782. #3308	C₂×C₂₉	semidirect
783. #3256	C₂×C₂₉	semidirect
784. #3252	C₂×C₂₉	semidirect
785. #3250	C₂×C₂₉	semidirect
786. #3240	C₂×C₂₉	semidirect
787. #3236	C₂×C₂₉	semidirect
788. #3232	C₂×C₂₉	semidirect
789. #3117	C₂×C₂₉	semidirect
790. #3111	C₂×C₂₉	semidirect
791. #3108	C₂×C₂₉	semidirect
792. #3080	C₂×C₂₉	semidirect
793. #3078	C₂×C₂₉	semidirect
794. C₂×#479	C₂×C₂₉	semidirect
795. #2989	C₂×C₂₉	semidirect
1293. C₂₉	#62120	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×#3515	2
C₂₉×#3482	2
C₂₉×#3390	2
C₂₉×#3388	2
C₂₉×#3377	2
C₂₉×#3376	2
C₂₉×#3352	2
C₂₉×#3351	2
C₂₉×#3345	2
C₂₉×#3344	2
C₂₉×#3343	2
C₂₉×#3327	2
C₂₉×#3326	2
C₂₉×#3320	2
C₂₉×#3316	2
C₂₉×#3312	2
C₂₉×#3308	2
C₂₉×#3256	2
C₂₉×#3252	2
C₂₉×#3250	2
C₂₉×#3240	2
C₂₉×#3236	2
C₂₉×#3232	2
C₂₉×#3117	2
C₂₉×#3111	2
C₂₉×#3108	2
C₂₉×#3080	2
C₂₉×#3078	2
C₂×C₂₉×#479	2
C₂₉×#2989	2
#62120	29

Subgroups — C29×#62120 #20357020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62120 #20357020