Subgroups — C₂₉×#62086 #20356986

Order 7424.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3326	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3307	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3277	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3269	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3263	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3252	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#3223	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₉×#3219	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₉×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₉×#3113	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₉×#3044	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₉×#3037	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₉×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
33	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
34	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
35	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
36	C₂×C₂₉×#135	C₂²	1	1	yes	characteristic
37	C₂²×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
38	C₂₉×#562	—	2	1	no	—
39	C₂₉×#562	—	2	1	no	—
40	C₂₉×#559	—	2	1	no	—
41	C₂₉×#559	C₂²	1	1	yes	characteristic
42	C₂₉×#557	C₂²	1	1	yes	characteristic
43	C₂₉×#557	C₂²	1	1	yes	characteristic
44	C₂₉×#556	—	2	1	no	—
45	C₂₉×#556	C₂²	1	1	yes	characteristic
46	C₂₉×#554	—	2	1	no	—
47	C₂₉×#554	—	2	1	no	—
48	C₂₉×#554	C₂²	1	1	yes	characteristic
49	C₂₉×#553	—	2	1	no	—
50	C₂₉×#553	C₂²	1	1	yes	characteristic
51	C₂₉×#552	—	2	1	no	—
52	C₂₉×#552	C₂²	1	1	yes	characteristic
53	C₂₉×#550	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
56	C₂₉×#548	C₂²	1	1	yes	characteristic
57	C₂₉×#548	C₂²	1	1	yes	characteristic
58	C₂₉×#548	C₂²	1	1	yes	characteristic
59	C₂₉×#548	C₂²	1	1	yes	characteristic
60	C₂₉×#547	C₂²	1	1	yes	characteristic
61	C₂₉×#547	C₂²	1	1	yes	characteristic
62	C₂₉×#542	—	2	1	no	—
63	C₂₉×#542	—	2	1	no	—
64	C₂₉×#542	C₂²	1	1	yes	characteristic
65	C₂₉×#542	C₂²	1	1	yes	characteristic
66	C₂₉×#542	C₂²	1	1	yes	characteristic
67	C₂₉×#541	—	2	1	no	—
68	C₂₉×#541	C₂²	1	1	yes	characteristic
69	C₂₉×#540	—	2	1	no	—
70	C₂₉×#539	—	2	1	no	—
71	C₂₉×#539	—	2	1	no	—
72	C₂₉×#536	C₂²	1	1	yes	characteristic
73	C₂₉×#536	C₂²	1	1	yes	characteristic
74	C₂₉×#533	C₂²	1	1	yes	characteristic
75	C₂₉×#532	C₂²	1	1	yes	characteristic
76	C₂₉×#529	—	2	1	no	—
77	C₂₉×#529	—	2	1	no	—
78	C₂₉×#529	C₂²	1	1	yes	characteristic
79	C₂₉×#529	C₂²	1	1	yes	characteristic
80	C₂₉×#520	C₂²	1	1	yes	characteristic
81	C₂₉×#519	C₂²	1	1	yes	characteristic
82	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
83	C₂₉×#497	C₂²	1	1	yes	characteristic
84	C₂₉×#497	C₂²	1	1	yes	characteristic
85	C₂₉×#497	C₂²	1	1	yes	characteristic
86	C₂₉×#496	C₂²	1	1	yes	characteristic
87	C₂₉×#495	C₂²	1	1	yes	characteristic
88	C₂₉×#494	C₂²	1	1	yes	characteristic
89	C₂₉×#491	C₂²	1	1	yes	characteristic
90	C₂₉×#491	C₂²	1	1	yes	characteristic
91	C₂₉×#490	C₂²	1	1	yes	characteristic
92	C₂₉×#489	C₂²	1	1	yes	characteristic
93	C₂₉×#488	C₂²	1	1	yes	characteristic
94	C₂₉×#487	C₂²	1	1	yes	characteristic
95	C₂₉×#485	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×#482	C₂²	1	1	yes	characteristic
100	C₂₉×#481	C₂²	1	1	yes	characteristic
101	C₂₉×#479	C₂²	1	1	yes	characteristic
102	C₂₉×#479	C₂²	1	1	yes	characteristic
103	C₂₉×#479	C₂²	1	1	yes	characteristic
104	C₂₉×#478	C₂²	1	1	yes	characteristic
105	C₂₉×#477	C₂²	1	1	yes	characteristic
106	C₂₉×#476	C₂²	1	1	yes	characteristic
107	C₂₉×#476	C₂²	1	1	yes	characteristic
108	C₂₉×#475	C₂²	1	1	yes	characteristic
109	C₂₉×#475	C₂²	1	1	yes	characteristic
110	C₂₉×#475	C₂²	1	1	yes	characteristic
111	C₂₉×#470	C₂²	1	1	yes	characteristic
112	C₂₉×#470	C₂²	1	1	yes	characteristic
113	C₂₉×#470	C₂²	1	1	yes	characteristic
114	C₂₉×#470	C₂²	1	1	yes	characteristic
115	C₂₉×#469	C₂²	1	1	yes	characteristic
116	C₂₉×#468	C₂²	1	1	yes	characteristic
117	C₂₉×#468	C₂²	1	1	yes	characteristic
118	C₂₉×#468	C₂²	1	1	yes	characteristic
119	C₂₉×#467	C₂²	1	1	yes	characteristic
120	C₂₉×#465	C₂²	1	1	yes	characteristic
121	C₂₉×#465	C₂²	1	1	yes	characteristic
122	C₂₉×#465	C₂²	1	1	yes	characteristic
123	C₂₉×#464	C₂²	1	1	yes	characteristic
124	C₂₉×#464	C₂²	1	1	yes	characteristic
125	C₂₉×#464	C₂²	1	1	yes	characteristic
126	C₂₉×#464	C₂²	1	1	yes	characteristic
127	C₂₉×#464	C₂²	1	1	yes	characteristic
128	C₂₉×#464	C₂²	1	1	yes	characteristic
129	C₂₉×#464	C₂²	1	1	yes	characteristic
130	C₂₉×#464	C₂²	1	1	yes	characteristic
131	C₂₉×#464	C₂²	1	1	yes	characteristic
132	C₂₉×#464	C₂²	1	1	yes	characteristic
133	C₂₉×#464	C₂²	1	1	yes	characteristic
134	C₂₉×#464	C₂²	1	1	yes	characteristic
135	C₂₉×#463	C₂²	1	1	yes	characteristic
136	C₂₉×#463	C₂²	1	1	yes	characteristic
137	C₂₉×#463	C₂²	1	1	yes	characteristic
138	C₂₉×#463	C₂²	1	1	yes	characteristic
139	C₂₉×#462	C₂²	1	1	yes	characteristic
140	C₂₉×#462	C₂²	1	1	yes	characteristic
141	C₂₉×#462	C₂²	1	1	yes	characteristic
142	C₂₉×#462	C₂²	1	1	yes	characteristic
143	C₂₉×#462	C₂²	1	1	yes	characteristic
144	C₂₉×#462	C₂²	1	1	yes	characteristic
145	C₂₉×#462	C₂²	1	1	yes	characteristic
146	C₂₉×#462	C₂²	1	1	yes	characteristic
147	C₂₉×#462	C₂²	1	1	yes	characteristic
148	C₂₉×#461	C₂²	1	1	yes	characteristic
149	C₂₉×#461	C₂²	1	1	yes	characteristic
150	C₂₉×#461	C₂²	1	1	yes	characteristic
151	C₂₉×#460	C₂²	1	1	yes	characteristic
152	C₂₉×#460	C₂²	1	1	yes	characteristic
153	C₂₉×#452	C₂²	1	1	yes	characteristic
154	C₂₉×#452	C₂²	1	1	yes	characteristic
155	C₂₉×#452	C₂²	1	1	yes	characteristic
156	C₂₉×#452	C₂²	1	1	yes	characteristic
157	C₂₉×#452	C₂²	1	1	yes	characteristic
158	C₂₉×#452	C₂²	1	1	yes	characteristic
159	C₂₉×#451	C₂²	1	1	yes	characteristic
160	C₂₉×#451	C₂²	1	1	yes	characteristic
161	C₂₉×#451	C₂²	1	1	yes	characteristic
162	C₂₉×#451	C₂²	1	1	yes	characteristic
163	C₂₉×#451	C₂²	1	1	yes	characteristic
164	C₂₉×#451	C₂²	1	1	yes	characteristic
165	C₂₉×#449	C₂²	1	1	yes	characteristic
166	C₂₉×#449	C₂²	1	1	yes	characteristic
167	C₂₉×#449	C₂²	1	1	yes	characteristic
168	C₂₉×#449	C₂²	1	1	yes	characteristic
169	C₂₉×#448	C₂²	1	1	yes	characteristic
170	C₂₉×#448	C₂²	1	1	yes	characteristic
171	C₂₉×#446	C₂²	1	1	yes	characteristic
172	C₂₉×#446	C₂²	1	1	yes	characteristic
173	C₂₉×#442	C₂²	1	1	yes	characteristic
174	C₂₉×#441	C₂²	1	1	yes	characteristic
175	C₂₉×#441	C₂²	1	1	yes	characteristic
176	C₂₉×#441	C₂²	1	1	yes	characteristic
177	C₂₉×#441	C₂²	1	1	yes	characteristic
178	C₂₉×#441	C₂²	1	1	yes	characteristic
179	C₂₉×#441	C₂²	1	1	yes	characteristic
180	C₂₉×#440	C₂²	1	1	yes	characteristic
181	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
182	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
183	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
184	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
185	C₂₉×#436	C₂²	1	1	yes	characteristic
186	C₂₉×#436	C₂²	1	1	yes	characteristic
187	C₂₉×#435	C₂²	1	1	yes	characteristic
188	C₂₉×#435	C₂²	1	1	yes	characteristic
189	C₂₉×#435	C₂²	1	1	yes	characteristic
190	C₂₉×#435	C₂²	1	1	yes	characteristic
191	C₂₉×#433	C₂²	1	1	yes	characteristic
192	C₂₉×#433	C₂²	1	1	yes	characteristic
193	C₂₉×#432	C₂²	1	1	yes	characteristic
194	C₂₉×#424	C₂²	1	1	yes	characteristic
195	C₂₉×#424	C₂²	1	1	yes	characteristic
196	C₂₉×#423	C₂²	1	1	yes	characteristic
197	C₂₉×#419	C₂²	1	1	yes	characteristic
198	C₂₉×#417	C₂²	1	1	yes	characteristic
199	C₂₉×#417	C₂²	1	1	yes	characteristic
200	C₂₉×#417	C₂²	1	1	yes	characteristic
201	C₂₉×#416	C₂²	1	1	yes	characteristic
202	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
203	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
207	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
212	C₂₉×#137	—	4	2	no	—
213	C₂₉×#137	—	4	2	no	—
214	C₂₉×#137	—	4	2	no	—
215	C₂₉×#137	—	4	2	no	—
216	C₂₉×#135	—	4	2	no	—
217	C₂×Q₁₆×C₂₉	—	4	2	no	—
218	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
227	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
228	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
229	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
242	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
244	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
248	C₂₉×C₄⋊Q₈	—	2	1	no	—
249	C₂₉×C₄⋊Q₈	—	2	1	no	—
250	C₂₉×C₄⋊Q₈	—	2	1	no	—
251	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₂₉×#127	—	2	1	no	—
259	C₂₉×#127	C₂³	1	1	yes	characteristic
260	C₂₉×#126	—	2	1	no	—
261	C₂₉×#126	—	2	1	no	—
262	C₂₉×#126	—	2	1	no	—
263	C₂₉×#126	—	2	1	no	—
264	C₂₉×#126	—	2	1	no	—
265	C₂₉×#126	—	2	1	no	—
266	C₂₉×#126	—	2	1	no	—
267	C₂₉×#126	—	2	1	no	—
268	C₂₉×#126	—	2	1	no	—
269	C₂₉×#126	—	2	1	no	—
270	C₂₉×#126	D₄	1	1	yes	characteristic
271	C₂₉×#126	D₄	1	1	yes	characteristic
272	C₂₉×#125	—	2	1	no	—
273	C₂₉×#125	—	2	1	no	—
274	C₂₉×#125	—	2	1	no	—
275	C₂₉×#125	—	2	1	no	—
276	C₂₉×#125	—	2	1	no	—
277	C₂₉×#125	—	2	1	no	—
278	C₂₉×#125	—	2	1	no	—
279	C₂₉×#125	—	2	1	no	—
280	C₂₉×#125	—	2	1	no	—
281	C₂₉×#125	—	2	1	no	—
282	C₂₉×#125	D₄	1	1	yes	characteristic
283	C₂₉×#125	C₂³	1	1	yes	characteristic
284	C₂₉×#125	C₂³	1	1	yes	characteristic
285	C₂₉×#124	—	2	1	no	—
286	C₂₉×#124	—	2	1	no	—
287	C₂₉×#124	—	2	1	no	—
288	C₂₉×#124	—	2	1	no	—
289	C₂₉×#124	—	2	1	no	—
290	C₂₉×#124	—	2	1	no	—
291	C₂₉×#124	—	2	1	no	—
292	C₂₉×#124	—	2	1	no	—
293	C₂₉×#124	D₄	1	1	yes	characteristic
294	C₂₉×#124	C₂³	1	1	yes	characteristic
295	C₂₉×#124	C₂³	1	1	yes	characteristic
296	C₂₉×#124	C₂³	1	1	yes	characteristic
297	C₂₉×#124	C₂³	1	1	yes	characteristic
298	C₂₉×#124	C₂³	1	1	yes	characteristic
299	C₂₉×#124	C₂³	1	1	yes	characteristic
300	C₂₉×#123	—	2	1	no	—
301	C₂₉×#123	—	2	1	no	—
302	C₂₉×#123	—	2	1	no	—
303	C₂₉×#123	—	2	1	no	—
304	C₂₉×#123	—	2	1	no	—
305	C₂₉×#123	—	2	1	no	—
306	C₂₉×#123	—	2	1	no	—
307	C₂₉×#123	—	2	1	no	—
308	C₂₉×#123	—	2	1	no	—
309	C₂₉×#123	—	2	1	no	—
310	C₂₉×#123	—	2	1	no	—
311	C₂₉×#123	—	2	1	no	—
312	C₂₉×#123	—	2	1	no	—
313	C₂₉×#123	—	2	1	no	—
314	C₂₉×#123	—	2	1	no	—
315	C₂₉×#123	—	2	1	no	—
316	C₂₉×#123	D₄	1	1	yes	characteristic
317	C₂₉×#123	D₄	1	1	yes	characteristic
318	C₂₉×C₂²⋊Q₈	—	2	1	no	—
319	C₂₉×C₂²⋊Q₈	—	2	1	no	—
320	C₂₉×C₂²⋊Q₈	—	2	1	no	—
321	C₂₉×C₂²⋊Q₈	—	2	1	no	—
322	C₂₉×C₂²⋊Q₈	—	2	1	no	—
323	C₂₉×C₂²⋊Q₈	—	2	1	no	—
324	C₂₉×C₂²⋊Q₈	—	2	1	no	—
325	C₂₉×C₂²⋊Q₈	—	2	1	no	—
326	C₂₉×C₂²⋊Q₈	—	2	1	no	—
327	C₂₉×C₂²⋊Q₈	—	2	1	no	—
328	C₂₉×C₂²⋊Q₈	—	2	1	no	—
329	C₂₉×C₂²⋊Q₈	—	2	1	no	—
330	C₂₉×C₂²⋊Q₈	—	2	1	no	—
331	C₂₉×C₂²⋊Q₈	—	2	1	no	—
332	C₂₉×C₂²⋊Q₈	—	2	1	no	—
333	C₂₉×C₂²⋊Q₈	—	2	1	no	—
334	C₂₉×C₂²⋊Q₈	—	2	1	no	—
335	C₂₉×C₂²⋊Q₈	—	2	1	no	—
336	C₂₉×C₂²⋊Q₈	—	2	1	no	—
337	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
338	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₂₉×#121	—	2	1	no	—
347	C₂₉×#121	—	2	1	no	—
348	C₂₉×#121	—	2	1	no	—
349	C₂₉×#121	—	2	1	no	—
350	C₂₉×#121	—	2	1	no	—
351	C₂₉×#121	—	2	1	no	—
352	C₂₉×#121	—	2	1	no	—
353	C₂₉×#121	—	2	1	no	—
354	C₂₉×#121	—	2	1	no	—
355	C₂₉×#121	—	2	1	no	—
356	C₂₉×#121	—	2	1	no	—
357	C₂₉×#121	D₄	1	1	yes	characteristic
358	C₂₉×#121	C₂³	1	1	yes	characteristic
359	C₂₉×#121	C₂³	1	1	yes	characteristic
360	C₂₉×#121	C₂³	1	1	yes	characteristic
361	C₂₉×#121	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₂₉	—	2	1	no	—
363	C₄×Q₈×C₂₉	—	2	1	no	—
364	C₄×Q₈×C₂₉	—	2	1	no	—
365	C₄×Q₈×C₂₉	—	2	1	no	—
366	C₄×Q₈×C₂₉	—	2	1	no	—
367	C₄×Q₈×C₂₉	—	2	1	no	—
368	C₄×Q₈×C₂₉	—	2	1	no	—
369	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
378	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
381	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₂₉	—	2	1	no	—
383	C₄×D₄×C₂₉	—	2	1	no	—
384	C₄×D₄×C₂₉	—	2	1	no	—
385	C₄×D₄×C₂₉	—	2	1	no	—
386	C₄×D₄×C₂₉	—	2	1	no	—
387	C₄×D₄×C₂₉	—	2	1	no	—
388	C₄×D₄×C₂₉	—	2	1	no	—
389	C₄×D₄×C₂₉	—	2	1	no	—
390	C₄×D₄×C₂₉	—	2	1	no	—
391	C₄×D₄×C₂₉	—	2	1	no	—
392	C₄×D₄×C₂₉	—	2	1	no	—
393	C₄×D₄×C₂₉	—	2	1	no	—
394	C₄×D₄×C₂₉	—	2	1	no	—
395	C₄×D₄×C₂₉	—	2	1	no	—
396	C₄×D₄×C₂₉	—	2	1	no	—
397	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
404	C₂₉×#117	—	2	1	no	—
405	C₂₉×#117	—	2	1	no	—
406	C₂₉×#117	—	2	1	no	—
407	C₂₉×#117	—	2	1	no	—
408	C₂₉×#117	—	2	1	no	—
409	C₂₉×#117	—	2	1	no	—
410	C₂₉×#117	—	2	1	no	—
411	C₂₉×#117	C₂³	1	1	yes	characteristic
412	C₂₉×#117	C₂³	1	1	yes	characteristic
413	C₂₉×#117	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
415	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
416	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
417	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
418	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
420	C₂×C₄²×C₂₉	—	2	1	no	—
421	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
422	C₂₉×#107	C₂³	1	1	yes	characteristic
423	C₂₉×#107	C₂³	1	1	yes	characteristic
424	C₂₉×#106	C₂³	1	1	yes	characteristic
425	C₂₉×#106	C₂³	1	1	yes	characteristic
426	C₂₉×#106	C₂³	1	1	yes	characteristic
427	C₂₉×#106	C₂³	1	1	yes	characteristic
428	C₂₉×#106	C₂³	1	1	yes	characteristic
429	C₂₉×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₂₉×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
457	C₂₉×#103	C₂³	1	1	yes	characteristic
458	C₂₉×#103	C₂³	1	1	yes	characteristic
459	C₂₉×#103	C₂³	1	1	yes	characteristic
460	C₂₉×#103	C₂³	1	1	yes	characteristic
461	C₂₉×#103	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×#102	C₂³	1	1	yes	characteristic
467	C₂₉×#102	C₂³	1	1	yes	characteristic
468	C₂₉×#102	C₂³	1	1	yes	characteristic
469	C₂₉×#102	C₂³	1	1	yes	characteristic
470	C₂₉×#102	C₂³	1	1	yes	characteristic
471	C₂₉×#102	C₂³	1	1	yes	characteristic
472	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₂₉×#97	C₂³	1	1	yes	characteristic
479	C₂₉×#97	C₂³	1	1	yes	characteristic
480	C₂₉×#97	C₂³	1	1	yes	characteristic
481	C₂₉×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
484	#41×C₂₉	—	2	2	no	—
485	#41×C₂₉	—	4	1	no	—
486	#41×C₂₉	—	4	1	no	—
487	#41×C₂₉	—	4	1	no	—
488	#41×C₂₉	—	4	1	no	—
489	#41×C₂₉	—	4	1	no	—
490	#41×C₂₉	—	4	1	no	—
491	#41×C₂₉	—	4	1	no	—
492	#41×C₂₉	—	4	1	no	—
493	#41×C₂₉	—	4	1	no	—
494	C₂×Q₈×C₂₉	—	2	1	no	—
495	C₂×Q₈×C₂₉	—	2	1	no	—
496	C₂×Q₈×C₂₉	—	2	1	no	—
497	C₂×Q₈×C₂₉	—	2	1	no	—
498	C₂×Q₈×C₂₉	—	2	1	no	—
499	C₂×Q₈×C₂₉	—	2	1	no	—
500	C₂×Q₈×C₂₉	—	2	2	no	—
501	C₂×Q₈×C₂₉	—	2	2	no	—
502	C₂×Q₈×C₂₉	—	4	1	no	—
503	C₂×Q₈×C₂₉	—	4	1	no	—
504	C₂×Q₈×C₂₉	—	4	1	no	—
505	C₂×Q₈×C₂₉	—	4	1	no	—
506	C₂×Q₈×C₂₉	—	4	1	no	—
507	C₂×Q₈×C₂₉	—	4	1	no	—
508	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
509	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
515	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₂₉	—	2	1	no	—
517	C₂×D₄×C₂₉	—	2	1	no	—
518	C₂×D₄×C₂₉	—	2	1	no	—
519	C₂×D₄×C₂₉	—	2	1	no	—
520	C₂×D₄×C₂₉	—	2	1	no	—
521	C₂×D₄×C₂₉	—	2	1	no	—
522	C₂×D₄×C₂₉	—	2	1	no	—
523	C₂×D₄×C₂₉	—	2	1	no	—
524	C₂×D₄×C₂₉	—	2	1	no	—
525	C₂×D₄×C₂₉	—	2	1	no	—
526	C₂×D₄×C₂₉	—	2	1	no	—
527	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₂₉	—	2	1	no	—
534	C₂²×C₄×C₂₉	—	2	1	no	—
535	C₂²×C₄×C₂₉	—	2	1	no	—
536	C₂²×C₄×C₂₉	—	2	1	no	—
537	C₂²×C₄×C₂₉	—	2	1	no	—
538	C₂²×C₄×C₂₉	—	2	1	no	—
539	C₂²×C₄×C₂₉	—	2	1	no	—
540	C₂²×C₄×C₂₉	—	2	1	no	—
541	C₂²×C₄×C₂₉	—	2	1	no	—
542	C₂²×C₄×C₂₉	—	2	1	no	—
543	C₂²×C₄×C₂₉	—	2	1	no	—
544	C₂²×C₄×C₂₉	—	2	1	no	—
545	C₂²×C₄×C₂₉	—	2	1	no	—
546	C₂²×C₄×C₂₉	—	2	1	no	—
547	C₂²×C₄×C₂₉	—	2	1	no	—
548	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
553	Q₁₆×C₂₉	—	2	2	no	—
554	Q₁₆×C₂₉	—	2	2	no	—
555	Q₁₆×C₂₉	—	2	2	no	—
556	Q₁₆×C₂₉	—	2	2	no	—
557	Q₁₆×C₂₉	—	4	1	no	—
558	Q₁₆×C₂₉	—	4	1	no	—
559	Q₁₆×C₂₉	—	4	1	no	—
560	Q₁₆×C₂₉	—	4	1	no	—
561	Q₁₆×C₂₉	—	4	1	no	—
562	Q₁₆×C₂₉	—	4	1	no	—
563	Q₁₆×C₂₉	—	4	1	no	—
564	Q₁₆×C₂₉	—	4	1	no	—
565	SD₁₆×C₂₉	—	2	2	no	—
566	SD₁₆×C₂₉	—	2	2	no	—
567	SD₁₆×C₂₉	—	4	1	no	—
568	SD₁₆×C₂₉	—	4	1	no	—
569	SD₁₆×C₂₉	—	4	1	no	—
570	SD₁₆×C₂₉	—	4	1	no	—
571	SD₁₆×C₂₉	—	4	1	no	—
572	SD₁₆×C₂₉	—	4	1	no	—
573	SD₁₆×C₂₉	—	4	1	no	—
574	SD₁₆×C₂₉	—	4	1	no	—
575	D₈×C₂₉	—	4	1	no	—
576	D₈×C₂₉	—	4	1	no	—
577	M₁₆×C₂₉	—	4	1	no	—
578	M₁₆×C₂₉	—	4	1	no	—
579	M₁₆×C₂₉	—	4	1	no	—
580	M₁₆×C₂₉	—	4	1	no	—
581	C₂×C₈×C₂₉	—	4	1	no	—
582	C₂×C₈×C₂₉	—	4	1	no	—
583	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
601	C₄⋊C₄×C₂₉	—	2	1	no	—
602	C₄⋊C₄×C₂₉	—	2	1	no	—
603	C₄⋊C₄×C₂₉	—	2	1	no	—
604	C₄⋊C₄×C₂₉	—	2	1	no	—
605	C₄⋊C₄×C₂₉	—	2	1	no	—
606	C₄⋊C₄×C₂₉	—	2	1	no	—
607	C₄⋊C₄×C₂₉	—	2	1	no	—
608	C₄⋊C₄×C₂₉	—	2	1	no	—
609	C₄⋊C₄×C₂₉	—	2	1	no	—
610	C₄⋊C₄×C₂₉	—	2	1	no	—
611	C₄⋊C₄×C₂₉	—	2	1	no	—
612	C₄⋊C₄×C₂₉	—	2	1	no	—
613	C₄⋊C₄×C₂₉	—	2	1	no	—
614	C₄⋊C₄×C₂₉	—	2	1	no	—
615	C₄⋊C₄×C₂₉	—	2	1	no	—
616	C₄⋊C₄×C₂₉	—	2	1	no	—
617	C₄⋊C₄×C₂₉	—	2	1	no	—
618	C₄⋊C₄×C₂₉	—	2	1	no	—
619	C₄⋊C₄×C₂₉	—	2	1	no	—
620	C₄⋊C₄×C₂₉	—	2	1	no	—
621	C₄⋊C₄×C₂₉	—	2	1	no	—
622	C₄⋊C₄×C₂₉	—	2	1	no	—
623	C₄⋊C₄×C₂₉	—	2	1	no	—
624	C₄⋊C₄×C₂₉	—	2	1	no	—
625	C₄⋊C₄×C₂₉	—	2	1	no	—
626	C₄⋊C₄×C₂₉	—	2	1	no	—
627	C₄⋊C₄×C₂₉	—	2	1	no	—
628	C₄⋊C₄×C₂₉	—	2	1	no	—
629	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
640	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
645	C₂²⋊C₄×C₂₉	—	2	1	no	—
646	C₂²⋊C₄×C₂₉	—	2	1	no	—
647	C₂²⋊C₄×C₂₉	—	2	1	no	—
648	C₂²⋊C₄×C₂₉	—	2	1	no	—
649	C₂²⋊C₄×C₂₉	—	2	1	no	—
650	C₂²⋊C₄×C₂₉	—	2	1	no	—
651	C₂²⋊C₄×C₂₉	—	2	1	no	—
652	C₂²⋊C₄×C₂₉	—	2	1	no	—
653	C₂²⋊C₄×C₂₉	—	2	1	no	—
654	C₂²⋊C₄×C₂₉	—	2	1	no	—
655	C₂²⋊C₄×C₂₉	—	2	1	no	—
656	C₂²⋊C₄×C₂₉	—	2	1	no	—
657	C₂²⋊C₄×C₂₉	—	2	1	no	—
658	C₂²⋊C₄×C₂₉	—	2	1	no	—
659	C₂²⋊C₄×C₂₉	—	2	1	no	—
660	C₂²⋊C₄×C₂₉	—	2	1	no	—
661	C₂²⋊C₄×C₂₉	—	2	1	no	—
662	C₂²⋊C₄×C₂₉	—	2	1	no	—
663	C₂²⋊C₄×C₂₉	—	2	1	no	—
664	C₂²⋊C₄×C₂₉	—	2	1	no	—
665	C₂²⋊C₄×C₂₉	—	2	1	no	—
666	C₂²⋊C₄×C₂₉	—	2	1	no	—
667	C₂²⋊C₄×C₂₉	—	2	1	no	—
668	C₂²⋊C₄×C₂₉	—	2	1	no	—
669	C₂²⋊C₄×C₂₉	—	2	1	no	—
670	C₂²⋊C₄×C₂₉	—	2	1	no	—
671	C₂²⋊C₄×C₂₉	—	2	1	no	—
672	C₂²⋊C₄×C₂₉	—	2	1	no	—
673	C₂²⋊C₄×C₂₉	—	2	1	no	—
674	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
676	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₂₉	—	2	1	no	—
685	C₄²×C₂₉	—	2	1	no	—
686	C₄²×C₂₉	—	2	1	no	—
687	C₄²×C₂₉	—	2	1	no	—
688	C₄²×C₂₉	—	2	1	no	—
689	C₄²×C₂₉	—	2	1	no	—
690	C₄²×C₂₉	—	2	1	no	—
691	C₄²×C₂₉	—	2	1	no	—
692	C₄²×C₂₉	—	2	1	no	—
693	C₄²×C₂₉	—	2	1	no	—
694	C₄²×C₂₉	—	2	1	no	—
695	C₄²×C₂₉	—	2	1	no	—
696	C₄²×C₂₉	—	2	1	no	—
697	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
700	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
701	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
702	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
703	#62086	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
704	C₂³×C₂₉	—	2	1	no	—
705	C₂³×C₂₉	—	2	1	no	—
706	C₂³×C₂₉	—	2	1	no	—
707	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
709	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
710	Q₈×C₂₉	—	2	1	no	—
711	Q₈×C₂₉	—	2	1	no	—
712	Q₈×C₂₉	—	2	1	no	—
713	Q₈×C₂₉	—	2	1	no	—
714	Q₈×C₂₉	—	2	1	no	—
715	Q₈×C₂₉	—	2	1	no	—
716	Q₈×C₂₉	—	2	1	no	—
717	Q₈×C₂₉	—	2	1	no	—
718	Q₈×C₂₉	—	2	1	no	—
719	Q₈×C₂₉	—	2	1	no	—
720	Q₈×C₂₉	—	2	1	no	—
721	Q₈×C₂₉	—	2	1	no	—
722	Q₈×C₂₉	—	2	1	no	—
723	Q₈×C₂₉	—	4	1	no	—
724	Q₈×C₂₉	—	4	2	no	—
725	Q₈×C₂₉	—	4	2	no	—
726	Q₈×C₂₉	—	8	1	no	—
727	Q₈×C₂₉	—	8	1	no	—
728	Q₈×C₂₉	—	8	1	no	—
729	Q₈×C₂₉	—	8	1	no	—
730	Q₈×C₂₉	H(5,𝔽₂)	1	2	yes	—
731	D₄×C₂₉	—	2	1	no	—
732	D₄×C₂₉	—	2	1	no	—
733	D₄×C₂₉	—	2	1	no	—
734	D₄×C₂₉	—	2	1	no	—
735	D₄×C₂₉	—	2	1	no	—
736	D₄×C₂₉	—	2	1	no	—
737	D₄×C₂₉	—	4	1	no	—
738	D₄×C₂₉	—	4	1	no	—
739	D₄×C₂₉	—	4	1	no	—
740	D₄×C₂₉	—	4	2	no	—
741	D₄×C₂₉	—	4	2	no	—
742	D₄×C₂₉	—	4	2	no	—
743	D₄×C₂₉	—	8	1	no	—
744	D₄×C₂₉	—	8	1	no	—
745	D₄×C₂₉	—	8	1	no	—
746	D₄×C₂₉	—	8	1	no	—
747	D₄×C₂₉	—	8	1	no	—
748	D₄×C₂₉	—	8	1	no	—
749	D₄×C₂₉	—	8	1	no	—
750	D₄×C₂₉	—	8	1	no	—
751	C₂×C₄×C₂₉	—	2	1	no	—
752	C₂×C₄×C₂₉	—	2	1	no	—
753	C₂×C₄×C₂₉	—	2	1	no	—
754	C₂×C₄×C₂₉	—	2	1	no	—
755	C₂×C₄×C₂₉	—	2	1	no	—
756	C₂×C₄×C₂₉	—	2	1	no	—
757	C₂×C₄×C₂₉	—	2	1	no	—
758	C₂×C₄×C₂₉	—	2	1	no	—
759	C₂×C₄×C₂₉	—	2	1	no	—
760	C₂×C₄×C₂₉	—	2	1	no	—
761	C₂×C₄×C₂₉	—	2	1	no	—
762	C₂×C₄×C₂₉	—	2	1	no	—
763	C₂×C₄×C₂₉	—	2	1	no	—
764	C₂×C₄×C₂₉	—	2	1	no	—
765	C₂×C₄×C₂₉	—	2	1	no	—
766	C₂×C₄×C₂₉	—	2	1	no	—
767	C₂×C₄×C₂₉	—	2	1	no	—
768	C₂×C₄×C₂₉	—	2	1	no	—
769	C₂×C₄×C₂₉	—	2	1	no	—
770	C₂×C₄×C₂₉	—	4	1	no	—
771	C₂×C₄×C₂₉	—	4	1	no	—
772	C₂×C₄×C₂₉	—	4	2	no	—
773	C₂×C₄×C₂₉	—	4	2	no	—
774	C₂×C₄×C₂₉	—	4	2	no	—
775	C₂×C₄×C₂₉	—	8	1	no	—
776	C₂×C₄×C₂₉	—	8	1	no	—
777	C₂×C₄×C₂₉	—	8	1	no	—
778	C₂×C₄×C₂₉	—	8	1	no	—
779	C₂×C₄×C₂₉	—	8	1	no	—
780	C₂×C₄×C₂₉	—	8	1	no	—
781	C₂×C₄×C₂₉	—	8	1	no	—
782	C₂×C₄×C₂₉	—	8	1	no	—
783	C₂×C₄×C₂₉	—	8	1	no	—
784	C₂×C₄×C₂₉	—	8	1	no	—
785	C₂×C₄×C₂₉	—	8	1	no	—
786	C₂×C₄×C₂₉	—	8	1	no	—
787	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
799	C₈×C₂₉	—	2	1	no	—
800	C₈×C₂₉	—	2	1	no	—
801	C₈×C₂₉	—	2	1	no	—
802	C₈×C₂₉	—	2	1	no	—
803	C₈×C₂₉	—	2	1	no	—
804	C₈×C₂₉	—	2	1	no	—
805	C₈×C₂₉	—	2	1	no	—
806	C₈×C₂₉	—	2	1	no	—
807	#3554	C₂×C₂₉	1	1	yes	characteristic, complemented
808	#3516	C₂×C₂₉	1	1	yes	characteristic, complemented
809	#3401	C₂×C₂₉	1	1	yes	characteristic, complemented
810	#3398	C₂×C₂₉	1	1	yes	characteristic, complemented
811	#3374	C₂×C₂₉	1	1	yes	characteristic, complemented
812	#3371	C₂×C₂₉	1	1	yes	characteristic, complemented
813	#3331	C₂×C₂₉	1	1	yes	characteristic, complemented
814	#3326	C₂×C₂₉	1	1	yes	characteristic, complemented
815	#3317	C₂×C₂₉	1	1	yes	characteristic, complemented
816	#3316	C₂×C₂₉	1	1	yes	characteristic, complemented
817	#3312	C₂×C₂₉	1	1	yes	characteristic, complemented
818	#3307	C₂×C₂₉	1	1	yes	characteristic, complemented
819	#3277	C₂×C₂₉	1	1	yes	characteristic, complemented
820	#3276	C₂×C₂₉	1	1	yes	characteristic, complemented
821	#3271	C₂×C₂₉	1	1	yes	characteristic, complemented
822	#3270	C₂×C₂₉	1	1	yes	characteristic, complemented
823	#3270	C₂×C₂₉	1	1	yes	characteristic, complemented
824	#3269	C₂×C₂₉	1	1	yes	characteristic, complemented
825	#3263	C₂×C₂₉	1	1	yes	characteristic, complemented
826	#3258	C₂×C₂₉	1	1	yes	characteristic, complemented
827	#3252	C₂×C₂₉	1	1	yes	characteristic, complemented
828	#3225	C₂×C₂₉	1	1	yes	characteristic, complemented
829	#3223	C₂×C₂₉	1	1	yes	characteristic, complemented
830	#3219	C₂×C₂₉	1	1	yes	characteristic, complemented
831	#3125	C₂×C₂₉	1	1	yes	characteristic, complemented
832	#3121	C₂×C₂₉	1	1	yes	characteristic, complemented
833	#3113	C₂×C₂₉	1	1	yes	characteristic, complemented
834	#3046	C₂×C₂₉	1	1	yes	characteristic, complemented
835	#3044	C₂×C₂₉	1	1	yes	characteristic, complemented
836	#3037	C₂×C₂₉	1	1	yes	characteristic, complemented
837	#2995	C₂×C₂₉	1	1	yes	characteristic, complemented
838	C₂²×C₂₉	—	2	1	no	—
839	C₂²×C₂₉	—	2	1	no	—
840	C₂²×C₂₉	—	2	1	no	—
841	C₂²×C₂₉	—	2	1	no	—
842	C₂²×C₂₉	—	2	1	no	—
843	C₂²×C₂₉	—	2	1	no	—
844	C₂²×C₂₉	—	2	1	no	—
845	C₂²×C₂₉	—	2	1	no	—
846	C₂²×C₂₉	—	2	1	no	—
847	C₂²×C₂₉	—	4	1	no	—
848	C₂²×C₂₉	—	4	1	no	—
849	C₂²×C₂₉	—	4	1	no	—
850	C₂²×C₂₉	—	4	1	no	—
851	C₂²×C₂₉	—	4	1	no	—
852	C₂²×C₂₉	—	4	1	no	—
853	C₂²×C₂₉	—	4	1	no	—
854	C₂²×C₂₉	—	4	1	no	—
855	C₂²×C₂₉	—	4	1	no	—
856	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
857	C₄×C₂₉	—	2	1	no	—
858	C₄×C₂₉	—	2	1	no	—
859	C₄×C₂₉	—	2	1	no	—
860	C₄×C₂₉	—	2	1	no	—
861	C₄×C₂₉	—	2	1	no	—
862	C₄×C₂₉	—	2	1	no	—
863	C₄×C₂₉	—	2	1	no	—
864	C₄×C₂₉	—	2	1	no	—
865	C₄×C₂₉	—	2	1	no	—
866	C₄×C₂₉	—	2	1	no	—
867	C₄×C₂₉	—	2	1	no	—
868	C₄×C₂₉	—	2	2	no	—
869	C₄×C₂₉	—	4	1	no	—
870	C₄×C₂₉	—	4	1	no	—
871	C₄×C₂₉	—	4	1	no	—
872	C₄×C₂₉	—	4	1	no	—
873	C₄×C₂₉	—	4	1	no	—
874	C₄×C₂₉	—	4	1	no	—
875	C₄×C₂₉	—	4	1	no	—
876	C₄×C₂₉	—	4	1	no	—
877	C₄×C₂₉	—	4	1	no	—
878	C₄×C₂₉	—	4	1	no	—
879	C₄×C₂₉	—	4	1	no	—
880	C₄×C₂₉	—	4	1	no	—
881	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
882	C₄×C₂₉	#585	1	1	yes	characteristic
883	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
884	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
885	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
886	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
887	C₂×#135	C₂²×C₂₉	1	1	yes	characteristic
888	C₂²×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
889	#562	—	2	1	no	—
890	#562	—	2	1	no	—
891	#559	—	2	1	no	—
892	#559	C₂²×C₂₉	1	1	yes	characteristic
893	#557	C₂²×C₂₉	1	1	yes	characteristic
894	#557	C₂²×C₂₉	1	1	yes	characteristic
895	#556	—	2	1	no	—
896	#556	C₂²×C₂₉	1	1	yes	characteristic
897	#554	—	2	1	no	—
898	#554	—	2	1	no	—
899	#554	C₂²×C₂₉	1	1	yes	characteristic
900	#553	—	2	1	no	—
901	#553	C₂²×C₂₉	1	1	yes	characteristic
902	#552	—	2	1	no	—
903	#552	C₂²×C₂₉	1	1	yes	characteristic
904	#550	C₂²×C₂₉	1	1	yes	characteristic
905	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
906	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
907	#548	C₂²×C₂₉	1	1	yes	characteristic
908	#548	C₂²×C₂₉	1	1	yes	characteristic
909	#548	C₂²×C₂₉	1	1	yes	characteristic
910	#548	C₂²×C₂₉	1	1	yes	characteristic
911	#547	C₂²×C₂₉	1	1	yes	characteristic
912	#547	C₂²×C₂₉	1	1	yes	characteristic
913	#542	—	2	1	no	—
914	#542	—	2	1	no	—
915	#542	C₂²×C₂₉	1	1	yes	characteristic
916	#542	C₂²×C₂₉	1	1	yes	characteristic
917	#542	C₂²×C₂₉	1	1	yes	characteristic
918	#541	—	2	1	no	—
919	#541	C₂²×C₂₉	1	1	yes	characteristic
920	#540	—	2	1	no	—
921	#539	—	2	1	no	—
922	#539	—	2	1	no	—
923	#536	C₂²×C₂₉	1	1	yes	characteristic
924	#536	C₂²×C₂₉	1	1	yes	characteristic
925	#533	C₂²×C₂₉	1	1	yes	characteristic
926	#532	C₂²×C₂₉	1	1	yes	characteristic
927	#529	—	2	1	no	—
928	#529	—	2	1	no	—
929	#529	C₂²×C₂₉	1	1	yes	characteristic
930	#529	C₂²×C₂₉	1	1	yes	characteristic
931	#520	C₂²×C₂₉	1	1	yes	characteristic
932	#519	C₂²×C₂₉	1	1	yes	characteristic
933	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
934	#497	C₂²×C₂₉	1	1	yes	characteristic
935	#497	C₂²×C₂₉	1	1	yes	characteristic
936	#497	C₂²×C₂₉	1	1	yes	characteristic
937	#496	C₂²×C₂₉	1	1	yes	characteristic
938	#495	C₂²×C₂₉	1	1	yes	characteristic
939	#494	C₂²×C₂₉	1	1	yes	characteristic
940	#491	C₂²×C₂₉	1	1	yes	characteristic
941	#491	C₂²×C₂₉	1	1	yes	characteristic
942	#490	C₂²×C₂₉	1	1	yes	characteristic
943	#489	C₂²×C₂₉	1	1	yes	characteristic
944	#488	C₂²×C₂₉	1	1	yes	characteristic
945	#487	C₂²×C₂₉	1	1	yes	characteristic
946	#485	C₂²×C₂₉	1	1	yes	characteristic
947	#483	C₂²×C₂₉	1	1	yes	characteristic
948	#483	C₂²×C₂₉	1	1	yes	characteristic
949	#483	C₂²×C₂₉	1	1	yes	characteristic
950	#482	C₂²×C₂₉	1	1	yes	characteristic
951	#481	C₂²×C₂₉	1	1	yes	characteristic
952	#479	C₂²×C₂₉	1	1	yes	characteristic
953	#479	C₂²×C₂₉	1	1	yes	characteristic
954	#479	C₂²×C₂₉	1	1	yes	characteristic
955	#478	C₂²×C₂₉	1	1	yes	characteristic
956	#477	C₂²×C₂₉	1	1	yes	characteristic
957	#476	C₂²×C₂₉	1	1	yes	characteristic
958	#476	C₂²×C₂₉	1	1	yes	characteristic
959	#475	C₂²×C₂₉	1	1	yes	characteristic
960	#475	C₂²×C₂₉	1	1	yes	characteristic
961	#475	C₂²×C₂₉	1	1	yes	characteristic
962	#470	C₂²×C₂₉	1	1	yes	characteristic
963	#470	C₂²×C₂₉	1	1	yes	characteristic
964	#470	C₂²×C₂₉	1	1	yes	characteristic
965	#470	C₂²×C₂₉	1	1	yes	characteristic
966	#469	C₂²×C₂₉	1	1	yes	characteristic
967	#468	C₂²×C₂₉	1	1	yes	characteristic
968	#468	C₂²×C₂₉	1	1	yes	characteristic
969	#468	C₂²×C₂₉	1	1	yes	characteristic
970	#467	C₂²×C₂₉	1	1	yes	characteristic
971	#465	C₂²×C₂₉	1	1	yes	characteristic
972	#465	C₂²×C₂₉	1	1	yes	characteristic
973	#465	C₂²×C₂₉	1	1	yes	characteristic
974	#464	C₂²×C₂₉	1	1	yes	characteristic
975	#464	C₂²×C₂₉	1	1	yes	characteristic
976	#464	C₂²×C₂₉	1	1	yes	characteristic
977	#464	C₂²×C₂₉	1	1	yes	characteristic
978	#464	C₂²×C₂₉	1	1	yes	characteristic
979	#464	C₂²×C₂₉	1	1	yes	characteristic
980	#464	C₂²×C₂₉	1	1	yes	characteristic
981	#464	C₂²×C₂₉	1	1	yes	characteristic
982	#464	C₂²×C₂₉	1	1	yes	characteristic
983	#464	C₂²×C₂₉	1	1	yes	characteristic
984	#464	C₂²×C₂₉	1	1	yes	characteristic
985	#464	C₂²×C₂₉	1	1	yes	characteristic
986	#463	C₂²×C₂₉	1	1	yes	characteristic
987	#463	C₂²×C₂₉	1	1	yes	characteristic
988	#463	C₂²×C₂₉	1	1	yes	characteristic
989	#463	C₂²×C₂₉	1	1	yes	characteristic
990	#462	C₂²×C₂₉	1	1	yes	characteristic
991	#462	C₂²×C₂₉	1	1	yes	characteristic
992	#462	C₂²×C₂₉	1	1	yes	characteristic
993	#462	C₂²×C₂₉	1	1	yes	characteristic
994	#462	C₂²×C₂₉	1	1	yes	characteristic
995	#462	C₂²×C₂₉	1	1	yes	characteristic
996	#462	C₂²×C₂₉	1	1	yes	characteristic
997	#462	C₂²×C₂₉	1	1	yes	characteristic
998	#462	C₂²×C₂₉	1	1	yes	characteristic
999	#461	C₂²×C₂₉	1	1	yes	characteristic
1000	#461	C₂²×C₂₉	1	1	yes	characteristic
1001	#461	C₂²×C₂₉	1	1	yes	characteristic
1002	#460	C₂²×C₂₉	1	1	yes	characteristic
1003	#460	C₂²×C₂₉	1	1	yes	characteristic
1004	#452	C₂²×C₂₉	1	1	yes	characteristic
1005	#452	C₂²×C₂₉	1	1	yes	characteristic
1006	#452	C₂²×C₂₉	1	1	yes	characteristic
1007	#452	C₂²×C₂₉	1	1	yes	characteristic
1008	#452	C₂²×C₂₉	1	1	yes	characteristic
1009	#452	C₂²×C₂₉	1	1	yes	characteristic
1010	#451	C₂²×C₂₉	1	1	yes	characteristic
1011	#451	C₂²×C₂₉	1	1	yes	characteristic
1012	#451	C₂²×C₂₉	1	1	yes	characteristic
1013	#451	C₂²×C₂₉	1	1	yes	characteristic
1014	#451	C₂²×C₂₉	1	1	yes	characteristic
1015	#451	C₂²×C₂₉	1	1	yes	characteristic
1016	#449	C₂²×C₂₉	1	1	yes	characteristic
1017	#449	C₂²×C₂₉	1	1	yes	characteristic
1018	#449	C₂²×C₂₉	1	1	yes	characteristic
1019	#449	C₂²×C₂₉	1	1	yes	characteristic
1020	#448	C₂²×C₂₉	1	1	yes	characteristic
1021	#448	C₂²×C₂₉	1	1	yes	characteristic
1022	#446	C₂²×C₂₉	1	1	yes	characteristic
1023	#446	C₂²×C₂₉	1	1	yes	characteristic
1024	#442	C₂²×C₂₉	1	1	yes	characteristic
1025	#441	C₂²×C₂₉	1	1	yes	characteristic
1026	#441	C₂²×C₂₉	1	1	yes	characteristic
1027	#441	C₂²×C₂₉	1	1	yes	characteristic
1028	#441	C₂²×C₂₉	1	1	yes	characteristic
1029	#441	C₂²×C₂₉	1	1	yes	characteristic
1030	#441	C₂²×C₂₉	1	1	yes	characteristic
1031	#440	C₂²×C₂₉	1	1	yes	characteristic
1032	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
1033	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1034	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1035	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1036	#436	C₂²×C₂₉	1	1	yes	characteristic
1037	#436	C₂²×C₂₉	1	1	yes	characteristic
1038	#435	C₂²×C₂₉	1	1	yes	characteristic
1039	#435	C₂²×C₂₉	1	1	yes	characteristic
1040	#435	C₂²×C₂₉	1	1	yes	characteristic
1041	#435	C₂²×C₂₉	1	1	yes	characteristic
1042	#433	C₂²×C₂₉	1	1	yes	characteristic
1043	#433	C₂²×C₂₉	1	1	yes	characteristic
1044	#432	C₂²×C₂₉	1	1	yes	characteristic
1045	#424	C₂²×C₂₉	1	1	yes	characteristic
1046	#424	C₂²×C₂₉	1	1	yes	characteristic
1047	#423	C₂²×C₂₉	1	1	yes	characteristic
1048	#419	C₂²×C₂₉	1	1	yes	characteristic
1049	#417	C₂²×C₂₉	1	1	yes	characteristic
1050	#417	C₂²×C₂₉	1	1	yes	characteristic
1051	#417	C₂²×C₂₉	1	1	yes	characteristic
1052	#416	C₂²×C₂₉	1	1	yes	characteristic
1053	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
1054	C₂×C₂₉	—	4	1	no	—
1055	C₂×C₂₉	—	4	1	no	—
1056	C₂×C₂₉	—	4	1	no	—
1057	C₂×C₂₉	—	8	1	no	—
1058	C₂×C₂₉	—	8	1	no	—
1059	C₂×C₂₉	—	8	1	no	—
1060	C₂×C₂₉	#3488	1	1	yes	characteristic
1061	C₂×C₂₉	#3586	1	1	yes	characteristic
1062	C₂×C₂₉	#3586	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1064	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1065	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1066	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1067	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1068	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1069	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1070	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1071	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1072	#137	—	4	2	no	—
1073	#137	—	4	2	no	—
1074	#137	—	4	2	no	—
1075	#137	—	4	2	no	—
1076	#135	—	4	2	no	—
1077	C₂×Q₁₆	—	4	2	no	—
1078	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1079	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1080	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1083	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1084	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1085	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1086	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1087	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1100	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1101	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1103	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1104	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1105	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1106	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1108	C₄⋊Q₈	—	2	1	no	—
1109	C₄⋊Q₈	—	2	1	no	—
1110	C₄⋊Q₈	—	2	1	no	—
1111	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1114	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1115	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1116	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1117	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1118	#127	—	2	1	no	—
1119	#127	C₂³×C₂₉	1	1	yes	characteristic
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	D₄×C₂₉	1	1	yes	characteristic
1131	#126	D₄×C₂₉	1	1	yes	characteristic
1132	#125	—	2	1	no	—
1133	#125	—	2	1	no	—
1134	#125	—	2	1	no	—
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	—	2	1	no	—
1139	#125	—	2	1	no	—
1140	#125	—	2	1	no	—
1141	#125	—	2	1	no	—
1142	#125	D₄×C₂₉	1	1	yes	characteristic
1143	#125	C₂³×C₂₉	1	1	yes	characteristic
1144	#125	C₂³×C₂₉	1	1	yes	characteristic
1145	#124	—	2	1	no	—
1146	#124	—	2	1	no	—
1147	#124	—	2	1	no	—
1148	#124	—	2	1	no	—
1149	#124	—	2	1	no	—
1150	#124	—	2	1	no	—
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	D₄×C₂₉	1	1	yes	characteristic
1154	#124	C₂³×C₂₉	1	1	yes	characteristic
1155	#124	C₂³×C₂₉	1	1	yes	characteristic
1156	#124	C₂³×C₂₉	1	1	yes	characteristic
1157	#124	C₂³×C₂₉	1	1	yes	characteristic
1158	#124	C₂³×C₂₉	1	1	yes	characteristic
1159	#124	C₂³×C₂₉	1	1	yes	characteristic
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	D₄×C₂₉	1	1	yes	characteristic
1177	#123	D₄×C₂₉	1	1	yes	characteristic
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
1198	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1199	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1200	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1201	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1203	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1204	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1205	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	D₄×C₂₉	1	1	yes	characteristic
1218	#121	C₂³×C₂₉	1	1	yes	characteristic
1219	#121	C₂³×C₂₉	1	1	yes	characteristic
1220	#121	C₂³×C₂₉	1	1	yes	characteristic
1221	#121	C₂³×C₂₉	1	1	yes	characteristic
1222	C₄×Q₈	—	2	1	no	—
1223	C₄×Q₈	—	2	1	no	—
1224	C₄×Q₈	—	2	1	no	—
1225	C₄×Q₈	—	2	1	no	—
1226	C₄×Q₈	—	2	1	no	—
1227	C₄×Q₈	—	2	1	no	—
1228	C₄×Q₈	—	2	1	no	—
1229	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1230	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1231	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1232	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1235	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1236	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1237	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1238	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1239	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1240	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1261	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1262	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1263	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	—	2	1	no	—
1267	#117	—	2	1	no	—
1268	#117	—	2	1	no	—
1269	#117	—	2	1	no	—
1270	#117	—	2	1	no	—
1271	#117	C₂³×C₂₉	1	1	yes	characteristic
1272	#117	C₂³×C₂₉	1	1	yes	characteristic
1273	#117	C₂³×C₂₉	1	1	yes	characteristic
1274	C₂×C₄⋊C₄	—	2	1	no	—
1275	C₂×C₄⋊C₄	—	2	1	no	—
1276	C₂×C₄⋊C₄	—	2	1	no	—
1277	C₂×C₄⋊C₄	—	2	1	no	—
1278	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1279	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1280	C₂×C₄²	—	2	1	no	—
1281	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1282	#107	C₂³×C₂₉	1	1	yes	characteristic
1283	#107	C₂³×C₂₉	1	1	yes	characteristic
1284	#106	C₂³×C₂₉	1	1	yes	characteristic
1285	#106	C₂³×C₂₉	1	1	yes	characteristic
1286	#106	C₂³×C₂₉	1	1	yes	characteristic
1287	#106	C₂³×C₂₉	1	1	yes	characteristic
1288	#106	C₂³×C₂₉	1	1	yes	characteristic
1289	#106	C₂³×C₂₉	1	1	yes	characteristic
1290	C₄⋊C₈	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	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1295	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1296	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1297	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1300	#103	C₂³×C₂₉	1	1	yes	characteristic
1301	#103	C₂³×C₂₉	1	1	yes	characteristic
1302	#103	C₂³×C₂₉	1	1	yes	characteristic
1303	#103	C₂³×C₂₉	1	1	yes	characteristic
1304	#103	C₂³×C₂₉	1	1	yes	characteristic
1305	#103	C₂³×C₂₉	1	1	yes	characteristic
1306	#103	C₂³×C₂₉	1	1	yes	characteristic
1307	#103	C₂³×C₂₉	1	1	yes	characteristic
1308	#103	C₂³×C₂₉	1	1	yes	characteristic
1309	#103	C₂³×C₂₉	1	1	yes	characteristic
1310	#103	C₂³×C₂₉	1	1	yes	characteristic
1311	#103	C₂³×C₂₉	1	1	yes	characteristic
1312	#103	C₂³×C₂₉	1	1	yes	characteristic
1313	#103	C₂³×C₂₉	1	1	yes	characteristic
1314	#103	C₂³×C₂₉	1	1	yes	characteristic
1315	#103	C₂³×C₂₉	1	1	yes	characteristic
1316	#103	C₂³×C₂₉	1	1	yes	characteristic
1317	#103	C₂³×C₂₉	1	1	yes	characteristic
1318	#103	C₂³×C₂₉	1	1	yes	characteristic
1319	#103	C₂³×C₂₉	1	1	yes	characteristic
1320	#103	C₂³×C₂₉	1	1	yes	characteristic
1321	#103	C₂³×C₂₉	1	1	yes	characteristic
1322	#102	C₂³×C₂₉	1	1	yes	characteristic
1323	#102	C₂³×C₂₉	1	1	yes	characteristic
1324	#102	C₂³×C₂₉	1	1	yes	characteristic
1325	#102	C₂³×C₂₉	1	1	yes	characteristic
1326	#102	C₂³×C₂₉	1	1	yes	characteristic
1327	#102	C₂³×C₂₉	1	1	yes	characteristic
1328	#102	C₂³×C₂₉	1	1	yes	characteristic
1329	#102	C₂³×C₂₉	1	1	yes	characteristic
1330	#102	C₂³×C₂₉	1	1	yes	characteristic
1331	#102	C₂³×C₂₉	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1333	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1338	#97	C₂³×C₂₉	1	1	yes	characteristic
1339	#97	C₂³×C₂₉	1	1	yes	characteristic
1340	#97	C₂³×C₂₉	1	1	yes	characteristic
1341	#97	C₂³×C₂₉	1	1	yes	characteristic
1342	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1343	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1344	C₂₉	#62086	1	1	yes	characteristic, direct product factor, Sylow
1345	#41	—	2	2	no	—
1346	#41	—	4	1	no	—
1347	#41	—	4	1	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	4	1	no	—
1354	#41	—	4	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	1	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	—	2	1	no	—
1361	C₂×Q₈	—	2	2	no	—
1362	C₂×Q₈	—	2	2	no	—
1363	C₂×Q₈	—	4	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×Q₈	—	4	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	—	4	1	no	—
1369	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1372	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1373	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1374	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1375	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1376	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1389	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1390	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1391	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1392	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1393	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1410	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1414	Q₁₆	—	2	2	no	—
1415	Q₁₆	—	2	2	no	—
1416	Q₁₆	—	2	2	no	—
1417	Q₁₆	—	2	2	no	—
1418	Q₁₆	—	4	1	no	—
1419	Q₁₆	—	4	1	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	4	1	no	—
1422	Q₁₆	—	4	1	no	—
1423	Q₁₆	—	4	1	no	—
1424	Q₁₆	—	4	1	no	—
1425	Q₁₆	—	4	1	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	2	2	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	—	4	1	no	—
1432	SD₁₆	—	4	1	no	—
1433	SD₁₆	—	4	1	no	—
1434	SD₁₆	—	4	1	no	—
1435	SD₁₆	—	4	1	no	—
1436	D₈	—	4	1	no	—
1437	D₈	—	4	1	no	—
1438	M₁₆	—	4	1	no	—
1439	M₁₆	—	4	1	no	—
1440	M₁₆	—	4	1	no	—
1441	M₁₆	—	4	1	no	—
1442	C₂×C₈	—	4	1	no	—
1443	C₂×C₈	—	4	1	no	—
1444	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1450	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1451	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1559	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1568	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1569	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	2	1	no	—
1576	Q₈	—	2	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	4	1	no	—
1584	Q₈	—	4	2	no	—
1585	Q₈	—	4	2	no	—
1586	Q₈	—	8	1	no	—
1587	Q₈	—	8	1	no	—
1588	Q₈	—	8	1	no	—
1589	Q₈	—	8	1	no	—
1590	Q₈	C₂₉×H(5,𝔽₂)	1	2	yes	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	4	1	no	—
1598	D₄	—	4	1	no	—
1599	D₄	—	4	1	no	—
1600	D₄	—	4	2	no	—
1601	D₄	—	4	2	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	8	1	no	—
1604	D₄	—	8	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	4	1	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	2	no	—
1633	C₂×C₄	—	4	2	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	—	8	1	no	—
1647	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1648	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1649	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1650	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1651	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1652	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1654	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1655	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1656	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1657	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1658	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	—	2	1	no	—
1666	C₈	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	2	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1711	C₄	C₂₉×#585	1	1	yes	characteristic
1712	C₂	—	4	1	no	—
1713	C₂	—	4	1	no	—
1714	C₂	—	4	1	no	—
1715	C₂	—	8	1	no	—
1716	C₂	—	8	1	no	—
1717	C₂	—	8	1	no	—
1718	C₂	C₂₉×#3488	1	1	yes	characteristic
1719	C₂	C₂₉×#3586	1	1	yes	characteristic
1720	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 ◁ C₂₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3554	C₂	semidirect
2. C₂₉×#3516	C₂	semidirect
3. C₂₉×#3401	C₂	semidirect
4. C₂₉×#3398	C₂	semidirect
5. C₂₉×#3374	C₂	semidirect
6. C₂₉×#3371	C₂	semidirect
7. C₂₉×#3331	C₂	semidirect
8. C₂₉×#3326	C₂	semidirect
9. C₂₉×#3317	C₂	semidirect
10. C₂₉×#3316	C₂	semidirect
11. C₂₉×#3312	C₂	semidirect
12. C₂₉×#3307	C₂	semidirect
13. C₂₉×#3277	C₂	semidirect
14. C₂₉×#3276	C₂	semidirect
15. C₂₉×#3271	C₂	semidirect
16. C₂₉×#3270	C₂	semidirect
17. C₂₉×#3270	C₂	semidirect
18. C₂₉×#3269	C₂	semidirect
19. C₂₉×#3263	C₂	semidirect
20. C₂₉×#3258	C₂	semidirect
21. C₂₉×#3252	C₂	semidirect
22. C₂₉×#3225	C₂	semidirect
23. C₂₉×#3223	C₂	semidirect
24. C₂₉×#3219	C₂	semidirect
25. C₂₉×#3125	C₂	semidirect
26. C₂₉×#3121	C₂	semidirect
27. C₂₉×#3113	C₂	semidirect
28. C₂₉×#3046	C₂	semidirect
29. C₂₉×#3044	C₂	semidirect
30. C₂₉×#3037	C₂	semidirect
31. C₂₉×#2995	C₂	semidirect
703. #62086	C₂₉	direct (N × H)
807. #3554	C₂×C₂₉	semidirect
808. #3516	C₂×C₂₉	semidirect
809. #3401	C₂×C₂₉	semidirect
810. #3398	C₂×C₂₉	semidirect
811. #3374	C₂×C₂₉	semidirect
812. #3371	C₂×C₂₉	semidirect
813. #3331	C₂×C₂₉	semidirect
814. #3326	C₂×C₂₉	semidirect
815. #3317	C₂×C₂₉	semidirect
816. #3316	C₂×C₂₉	semidirect
817. #3312	C₂×C₂₉	semidirect
818. #3307	C₂×C₂₉	semidirect
819. #3277	C₂×C₂₉	semidirect
820. #3276	C₂×C₂₉	semidirect
821. #3271	C₂×C₂₉	semidirect
822. #3270	C₂×C₂₉	semidirect
823. #3270	C₂×C₂₉	semidirect
824. #3269	C₂×C₂₉	semidirect
825. #3263	C₂×C₂₉	semidirect
826. #3258	C₂×C₂₉	semidirect
827. #3252	C₂×C₂₉	semidirect
828. #3225	C₂×C₂₉	semidirect
829. #3223	C₂×C₂₉	semidirect
830. #3219	C₂×C₂₉	semidirect
831. #3125	C₂×C₂₉	semidirect
832. #3121	C₂×C₂₉	semidirect
833. #3113	C₂×C₂₉	semidirect
834. #3046	C₂×C₂₉	semidirect
835. #3044	C₂×C₂₉	semidirect
836. #3037	C₂×C₂₉	semidirect
837. #2995	C₂×C₂₉	semidirect
1344. C₂₉	#62086	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×#3554	2
C₂₉×#3516	2
C₂₉×#3401	2
C₂₉×#3398	2
C₂₉×#3374	2
C₂₉×#3371	2
C₂₉×#3331	2
C₂₉×#3326	2
C₂₉×#3317	2
C₂₉×#3316	2
C₂₉×#3312	2
C₂₉×#3307	2
C₂₉×#3277	2
C₂₉×#3276	2
C₂₉×#3271	2
C₂₉×#3270	2
C₂₉×#3269	2
C₂₉×#3263	2
C₂₉×#3258	2
C₂₉×#3252	2
C₂₉×#3225	2
C₂₉×#3223	2
C₂₉×#3219	2
C₂₉×#3125	2
C₂₉×#3121	2
C₂₉×#3113	2
C₂₉×#3046	2
C₂₉×#3044	2
C₂₉×#3037	2
C₂₉×#2995	2
#62086	29

Subgroups — C29×#62086 #20356986

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62086 #20356986