Subgroups — C₂₉×#61549 #20356449

Order 7424.

1774 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3524	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3383	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3321	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3309	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3301	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3277	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3277	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3175	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3174	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₉×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₉×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₉×#3108	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₉×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#2969	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₉×#2947	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₉×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₂₉×#137	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	C₂₉×#559	—	2	1	no	—
36	C₂₉×#559	C₂²	1	1	yes	characteristic
37	C₂₉×#557	C₂²	1	1	yes	characteristic
38	C₂₉×#557	C₂²	1	1	yes	characteristic
39	C₂₉×#556	—	2	1	no	—
40	C₂₉×#556	C₂²	1	1	yes	characteristic
41	C₂₉×#555	—	2	1	no	—
42	C₂₉×#555	C₂²	1	1	yes	characteristic
43	C₂₉×#554	—	2	1	no	—
44	C₂₉×#554	C₂²	1	1	yes	characteristic
45	C₂₉×#553	—	2	1	no	—
46	C₂₉×#553	—	2	1	no	—
47	C₂₉×#553	C₂²	1	1	yes	characteristic
48	C₂₉×#553	C₂²	1	1	yes	characteristic
49	C₂₉×#552	—	2	1	no	—
50	C₂₉×#552	—	2	1	no	—
51	C₂₉×#552	C₂²	1	1	yes	characteristic
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	C₂₉×#548	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×#542	—	2	1	no	—
60	C₂₉×#542	—	2	1	no	—
61	C₂₉×#542	C₂²	1	1	yes	characteristic
62	C₂₉×#542	C₂²	1	1	yes	characteristic
63	C₂₉×#541	—	2	1	no	—
64	C₂₉×#541	C₂²	1	1	yes	characteristic
65	C₂₉×#540	—	2	1	no	—
66	C₂₉×#540	C₂²	1	1	yes	characteristic
67	C₂₉×#529	—	2	1	no	—
68	C₂₉×#529	—	2	1	no	—
69	C₂₉×#529	—	2	1	no	—
70	C₂₉×#529	—	2	1	no	—
71	C₂₉×#529	C₂²	1	1	yes	characteristic
72	C₂₉×#529	C₂²	1	1	yes	characteristic
73	C₂₉×#529	C₂²	1	1	yes	characteristic
74	C₂₉×#520	C₂²	1	1	yes	characteristic
75	C₂₉×#520	C₂²	1	1	yes	characteristic
76	C₂₉×#519	C₂²	1	1	yes	characteristic
77	C₂₉×#519	C₂²	1	1	yes	characteristic
78	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
80	C₂₉×#500	C₂²	1	1	yes	characteristic
81	C₂₉×#499	C₂²	1	1	yes	characteristic
82	C₂₉×#499	C₂²	1	1	yes	characteristic
83	C₂₉×#495	C₂²	1	1	yes	characteristic
84	C₂₉×#495	C₂²	1	1	yes	characteristic
85	C₂₉×#492	C₂²	1	1	yes	characteristic
86	C₂₉×#491	C₂²	1	1	yes	characteristic
87	C₂₉×#490	C₂²	1	1	yes	characteristic
88	C₂₉×#489	C₂²	1	1	yes	characteristic
89	C₂₉×#489	C₂²	1	1	yes	characteristic
90	C₂₉×#488	C₂²	1	1	yes	characteristic
91	C₂₉×#488	C₂²	1	1	yes	characteristic
92	C₂₉×#485	C₂²	1	1	yes	characteristic
93	C₂₉×#485	C₂²	1	1	yes	characteristic
94	C₂₉×#485	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×#482	C₂²	1	1	yes	characteristic
99	C₂₉×#482	C₂²	1	1	yes	characteristic
100	C₂₉×#481	C₂²	1	1	yes	characteristic
101	C₂₉×#481	C₂²	1	1	yes	characteristic
102	C₂₉×#480	C₂²	1	1	yes	characteristic
103	C₂₉×#480	C₂²	1	1	yes	characteristic
104	C₂₉×#479	C₂²	1	1	yes	characteristic
105	C₂₉×#479	C₂²	1	1	yes	characteristic
106	C₂₉×#479	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×#478	C₂²	1	1	yes	characteristic
111	C₂₉×#478	C₂²	1	1	yes	characteristic
112	C₂₉×#477	C₂²	1	1	yes	characteristic
113	C₂₉×#476	C₂²	1	1	yes	characteristic
114	C₂₉×#475	C₂²	1	1	yes	characteristic
115	C₂₉×#475	C₂²	1	1	yes	characteristic
116	C₂₉×#470	C₂²	1	1	yes	characteristic
117	C₂₉×#469	C₂²	1	1	yes	characteristic
118	C₂₉×#468	C₂²	1	1	yes	characteristic
119	C₂₉×#468	C₂²	1	1	yes	characteristic
120	C₂₉×#468	C₂²	1	1	yes	characteristic
121	C₂₉×#468	C₂²	1	1	yes	characteristic
122	C₂₉×#468	C₂²	1	1	yes	characteristic
123	C₂₉×#468	C₂²	1	1	yes	characteristic
124	C₂₉×#467	C₂²	1	1	yes	characteristic
125	C₂₉×#466	C₂²	1	1	yes	characteristic
126	C₂₉×#465	C₂²	1	1	yes	characteristic
127	C₂₉×#465	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×#463	C₂²	1	1	yes	characteristic
135	C₂₉×#463	C₂²	1	1	yes	characteristic
136	C₂₉×#462	C₂²	1	1	yes	characteristic
137	C₂₉×#462	C₂²	1	1	yes	characteristic
138	C₂₉×#460	C₂²	1	1	yes	characteristic
139	C₂₉×#459	C₂²	1	1	yes	characteristic
140	C₂₉×#452	C₂²	1	1	yes	characteristic
141	C₂₉×#452	C₂²	1	1	yes	characteristic
142	C₂₉×#451	C₂²	1	1	yes	characteristic
143	C₂₉×#451	C₂²	1	1	yes	characteristic
144	C₂₉×#451	C₂²	1	1	yes	characteristic
145	C₂₉×#451	C₂²	1	1	yes	characteristic
146	C₂₉×#449	C₂²	1	1	yes	characteristic
147	C₂₉×#449	C₂²	1	1	yes	characteristic
148	C₂₉×#449	C₂²	1	1	yes	characteristic
149	C₂₉×#449	C₂²	1	1	yes	characteristic
150	C₂₉×#448	C₂²	1	1	yes	characteristic
151	C₂₉×#448	C₂²	1	1	yes	characteristic
152	C₂₉×#446	C₂²	1	1	yes	characteristic
153	C₈×Q₈×C₂₉	C₂²	1	1	yes	characteristic
154	C₂₉×#442	C₂²	1	1	yes	characteristic
155	C₂₉×#441	C₂²	1	1	yes	characteristic
156	C₂₉×#441	C₂²	1	1	yes	characteristic
157	C₂₉×#441	C₂²	1	1	yes	characteristic
158	C₂₉×#441	C₂²	1	1	yes	characteristic
159	C₂₉×#441	C₂²	1	1	yes	characteristic
160	C₂₉×#440	C₂²	1	1	yes	characteristic
161	C₂₉×#440	C₂²	1	1	yes	characteristic
162	C₂₉×#440	C₂²	1	1	yes	characteristic
163	C₂₉×#440	C₂²	1	1	yes	characteristic
164	C₂₉×#440	C₂²	1	1	yes	characteristic
165	C₂₉×#440	C₂²	1	1	yes	characteristic
166	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
167	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
168	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
169	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
170	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
171	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
172	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
173	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×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	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
182	C₂₉×#436	C₂²	1	1	yes	characteristic
183	C₂₉×#436	C₂²	1	1	yes	characteristic
184	C₂₉×#436	C₂²	1	1	yes	characteristic
185	C₂₉×#435	C₂²	1	1	yes	characteristic
186	C₂₉×#435	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic
188	C₂₉×#433	C₂²	1	1	yes	characteristic
189	C₂₉×#433	C₂²	1	1	yes	characteristic
190	C₂₉×#431	C₂²	1	1	yes	characteristic
191	C₂₉×#428	C₂²	1	1	yes	characteristic
192	C₂₉×#428	C₂²	1	1	yes	characteristic
193	C₂₉×#428	C₂²	1	1	yes	characteristic
194	C₂₉×#419	C₂²	1	1	yes	characteristic
195	C₂₉×#417	C₂²	1	1	yes	characteristic
196	C₂₉×#416	C₂²	1	1	yes	characteristic
197	C₂₉×#416	C₂²	1	1	yes	characteristic
198	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
199	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
200	C₂₉×#405	C₂²	1	1	yes	characteristic
201	C₂₉×#405	C₂²	1	1	yes	characteristic
202	C₄×M₁₆×C₂₉	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	C₂²×Q₈×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	C₂₉×#137	—	2	4	no	—
210	C₂₉×#137	—	2	4	no	—
211	C₂₉×#137	—	2	4	no	—
212	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
230	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
234	C₂₉×C₄⋊Q₈	—	2	1	no	—
235	C₂₉×C₄⋊Q₈	—	2	1	no	—
236	C₂₉×C₄⋊Q₈	—	2	1	no	—
237	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₂₉×#127	—	2	1	no	—
241	C₂₉×#127	C₂³	1	1	yes	characteristic
242	C₂₉×#126	—	2	1	no	—
243	C₂₉×#126	—	2	1	no	—
244	C₂₉×#126	—	2	1	no	—
245	C₂₉×#126	—	2	1	no	—
246	C₂₉×#126	—	2	1	no	—
247	C₂₉×#126	—	2	1	no	—
248	C₂₉×#126	—	2	1	no	—
249	C₂₉×#126	—	2	1	no	—
250	C₂₉×#126	—	2	1	no	—
251	C₂₉×#126	—	2	1	no	—
252	C₂₉×#126	—	2	1	no	—
253	C₂₉×#126	—	2	1	no	—
254	C₂₉×#126	D₄	1	1	yes	characteristic
255	C₂₉×#126	D₄	1	1	yes	characteristic
256	C₂₉×#125	—	2	1	no	—
257	C₂₉×#125	—	2	1	no	—
258	C₂₉×#125	—	2	1	no	—
259	C₂₉×#125	—	2	1	no	—
260	C₂₉×#125	—	2	1	no	—
261	C₂₉×#125	—	2	1	no	—
262	C₂₉×#125	—	2	1	no	—
263	C₂₉×#125	—	2	1	no	—
264	C₂₉×#125	—	2	1	no	—
265	C₂₉×#125	D₄	1	1	yes	characteristic
266	C₂₉×#125	C₂³	1	1	yes	characteristic
267	C₂₉×#125	C₂³	1	1	yes	characteristic
268	C₂₉×#125	C₂³	1	1	yes	characteristic
269	C₂₉×#125	C₂³	1	1	yes	characteristic
270	C₂₉×#124	—	2	1	no	—
271	C₂₉×#124	—	2	1	no	—
272	C₂₉×#124	—	2	1	no	—
273	C₂₉×#124	—	2	1	no	—
274	C₂₉×#124	—	2	1	no	—
275	C₂₉×#124	—	2	1	no	—
276	C₂₉×#124	—	2	1	no	—
277	C₂₉×#124	—	2	1	no	—
278	C₂₉×#124	—	2	1	no	—
279	C₂₉×#124	D₄	1	1	yes	characteristic
280	C₂₉×#124	C₂³	1	1	yes	characteristic
281	C₂₉×#124	C₂³	1	1	yes	characteristic
282	C₂₉×#124	C₂³	1	1	yes	characteristic
283	C₂₉×#124	C₂³	1	1	yes	characteristic
284	C₂₉×#123	—	2	1	no	—
285	C₂₉×#123	—	2	1	no	—
286	C₂₉×#123	—	2	1	no	—
287	C₂₉×#123	—	2	1	no	—
288	C₂₉×#123	—	2	1	no	—
289	C₂₉×#123	—	2	1	no	—
290	C₂₉×#123	—	2	1	no	—
291	C₂₉×#123	—	2	1	no	—
292	C₂₉×#123	—	2	1	no	—
293	C₂₉×#123	—	2	1	no	—
294	C₂₉×#123	—	2	1	no	—
295	C₂₉×#123	—	2	1	no	—
296	C₂₉×#123	D₄	1	1	yes	characteristic
297	C₂₉×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
302	C₂₉×C₂²⋊Q₈	—	2	1	no	—
303	C₂₉×C₂²⋊Q₈	—	2	1	no	—
304	C₂₉×C₂²⋊Q₈	—	2	1	no	—
305	C₂₉×C₂²⋊Q₈	—	2	1	no	—
306	C₂₉×C₂²⋊Q₈	—	2	1	no	—
307	C₂₉×C₂²⋊Q₈	—	2	1	no	—
308	C₂₉×C₂²⋊Q₈	—	2	1	no	—
309	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
310	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₂₉×#121	—	2	1	no	—
317	C₂₉×#121	—	2	1	no	—
318	C₂₉×#121	—	2	1	no	—
319	C₂₉×#121	—	2	1	no	—
320	C₂₉×#121	—	2	1	no	—
321	C₂₉×#121	—	2	1	no	—
322	C₂₉×#121	—	2	1	no	—
323	C₂₉×#121	—	2	1	no	—
324	C₂₉×#121	—	2	1	no	—
325	C₂₉×#121	—	2	1	no	—
326	C₂₉×#121	—	2	1	no	—
327	C₂₉×#121	D₄	1	1	yes	characteristic
328	C₂₉×#121	C₂³	1	1	yes	characteristic
329	C₂₉×#121	C₂³	1	1	yes	characteristic
330	C₂₉×#121	C₂³	1	1	yes	characteristic
331	C₂₉×#121	C₂³	1	1	yes	characteristic
332	C₂₉×#121	C₂³	1	1	yes	characteristic
333	C₂₉×#121	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₂₉	—	2	1	no	—
335	C₄×Q₈×C₂₉	—	2	1	no	—
336	C₄×Q₈×C₂₉	—	2	1	no	—
337	C₄×Q₈×C₂₉	—	2	1	no	—
338	C₄×Q₈×C₂₉	—	2	1	no	—
339	C₄×Q₈×C₂₉	—	2	1	no	—
340	C₄×Q₈×C₂₉	—	2	1	no	—
341	C₄×Q₈×C₂₉	—	2	1	no	—
342	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₂₉	—	2	1	no	—
358	C₄×D₄×C₂₉	—	2	1	no	—
359	C₄×D₄×C₂₉	—	2	1	no	—
360	C₄×D₄×C₂₉	—	2	1	no	—
361	C₄×D₄×C₂₉	—	2	1	no	—
362	C₄×D₄×C₂₉	—	2	1	no	—
363	C₄×D₄×C₂₉	—	2	1	no	—
364	C₄×D₄×C₂₉	—	2	1	no	—
365	C₄×D₄×C₂₉	—	2	1	no	—
366	C₄×D₄×C₂₉	—	2	1	no	—
367	C₄×D₄×C₂₉	—	2	1	no	—
368	C₄×D₄×C₂₉	—	2	1	no	—
369	C₄×D₄×C₂₉	—	2	1	no	—
370	C₄×D₄×C₂₉	—	2	1	no	—
371	C₄×D₄×C₂₉	—	2	1	no	—
372	C₄×D₄×C₂₉	—	2	1	no	—
373	C₄×D₄×C₂₉	—	2	1	no	—
374	C₄×D₄×C₂₉	—	2	1	no	—
375	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
384	C₂₉×#117	—	2	1	no	—
385	C₂₉×#117	—	2	1	no	—
386	C₂₉×#117	—	2	1	no	—
387	C₂₉×#117	—	2	1	no	—
388	C₂₉×#117	—	2	1	no	—
389	C₂₉×#117	—	2	1	no	—
390	C₂₉×#117	—	2	1	no	—
391	C₂₉×#117	—	2	1	no	—
392	C₂₉×#117	—	2	1	no	—
393	C₂₉×#117	—	2	1	no	—
394	C₂₉×#117	—	2	1	no	—
395	C₂₉×#117	—	2	1	no	—
396	C₂₉×#117	—	2	1	no	—
397	C₂₉×#117	C₂³	1	1	yes	characteristic
398	C₂₉×#117	C₂³	1	1	yes	characteristic
399	C₂₉×#117	C₂³	1	1	yes	characteristic
400	C₂₉×#117	C₂³	1	1	yes	characteristic
401	C₂₉×#117	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
403	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
404	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
405	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
408	C₂×C₄²×C₂₉	—	2	1	no	—
409	C₂×C₄²×C₂₉	—	2	1	no	—
410	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
411	C₂₉×#107	C₂³	1	1	yes	characteristic
412	C₂₉×#107	C₂³	1	1	yes	characteristic
413	C₂₉×#107	C₂³	1	1	yes	characteristic
414	C₂₉×#107	C₂³	1	1	yes	characteristic
415	C₂₉×#107	C₂³	1	1	yes	characteristic
416	C₂₉×#107	C₂³	1	1	yes	characteristic
417	C₂₉×#107	C₂³	1	1	yes	characteristic
418	C₂₉×#107	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×#106	C₂³	1	1	yes	characteristic
425	C₂₉×#106	C₂³	1	1	yes	characteristic
426	C₂₉×#106	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×#103	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×#102	C₂³	1	1	yes	characteristic
454	C₂₉×#102	C₂³	1	1	yes	characteristic
455	C₂₉×#102	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×C₂²⋊C₈	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×#97	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	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
481	#41×C₂₉	—	2	2	no	—
482	#41×C₂₉	—	2	2	no	—
483	#41×C₂₉	—	2	2	no	—
484	#41×C₂₉	—	4	1	no	—
485	#41×C₂₉	—	4	1	no	—
486	#41×C₂₉	—	4	1	no	—
487	C₂×Q₈×C₂₉	—	2	1	no	—
488	C₂×Q₈×C₂₉	—	2	1	no	—
489	C₂×Q₈×C₂₉	—	2	1	no	—
490	C₂×Q₈×C₂₉	—	2	1	no	—
491	C₂×Q₈×C₂₉	—	2	1	no	—
492	C₂×Q₈×C₂₉	—	2	2	no	—
493	C₂×Q₈×C₂₉	—	2	2	no	—
494	C₂×Q₈×C₂₉	—	2	2	no	—
495	C₂×Q₈×C₂₉	—	4	1	no	—
496	C₂×Q₈×C₂₉	—	4	1	no	—
497	C₂×Q₈×C₂₉	—	4	1	no	—
498	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
499	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₂₉	—	2	1	no	—
505	C₂×D₄×C₂₉	—	2	1	no	—
506	C₂×D₄×C₂₉	—	2	1	no	—
507	C₂×D₄×C₂₉	—	2	1	no	—
508	C₂×D₄×C₂₉	—	2	1	no	—
509	C₂×D₄×C₂₉	—	2	1	no	—
510	C₂×D₄×C₂₉	—	2	1	no	—
511	C₂×D₄×C₂₉	—	2	1	no	—
512	C₂×D₄×C₂₉	—	2	1	no	—
513	C₂×D₄×C₂₉	—	2	1	no	—
514	C₂×D₄×C₂₉	—	2	1	no	—
515	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₂₉	—	2	1	no	—
522	C₂²×C₄×C₂₉	—	2	1	no	—
523	C₂²×C₄×C₂₉	—	2	1	no	—
524	C₂²×C₄×C₂₉	—	2	1	no	—
525	C₂²×C₄×C₂₉	—	2	1	no	—
526	C₂²×C₄×C₂₉	—	2	1	no	—
527	C₂²×C₄×C₂₉	—	2	1	no	—
528	C₂²×C₄×C₂₉	—	2	1	no	—
529	C₂²×C₄×C₂₉	—	2	1	no	—
530	C₂²×C₄×C₂₉	—	2	1	no	—
531	C₂²×C₄×C₂₉	—	2	1	no	—
532	C₂²×C₄×C₂₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
541	Q₁₆×C₂₉	—	2	2	no	—
542	Q₁₆×C₂₉	—	2	2	no	—
543	Q₁₆×C₂₉	—	2	2	no	—
544	Q₁₆×C₂₉	—	4	1	no	—
545	Q₁₆×C₂₉	—	4	1	no	—
546	Q₁₆×C₂₉	#41	1	4	yes	—
547	SD₁₆×C₂₉	—	2	2	no	—
548	SD₁₆×C₂₉	—	2	2	no	—
549	SD₁₆×C₂₉	—	2	2	no	—
550	SD₁₆×C₂₉	—	2	2	no	—
551	SD₁₆×C₂₉	—	2	2	no	—
552	SD₁₆×C₂₉	—	2	2	no	—
553	SD₁₆×C₂₉	—	4	1	no	—
554	SD₁₆×C₂₉	—	4	1	no	—
555	D₈×C₂₉	—	4	1	no	—
556	D₈×C₂₉	—	4	1	no	—
557	M₁₆×C₂₉	—	2	2	no	—
558	M₁₆×C₂₉	—	2	2	no	—
559	M₁₆×C₂₉	—	2	2	no	—
560	M₁₆×C₂₉	—	4	1	no	—
561	C₂×C₈×C₂₉	—	4	1	no	—
562	C₂×C₈×C₂₉	—	4	1	no	—
563	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
643	C₂²⋊C₄×C₂₉	—	2	1	no	—
644	C₂²⋊C₄×C₂₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₂₉	—	2	1	no	—
664	C₄²×C₂₉	—	2	1	no	—
665	C₄²×C₂₉	—	2	1	no	—
666	C₄²×C₂₉	—	2	1	no	—
667	C₄²×C₂₉	—	2	1	no	—
668	C₄²×C₂₉	—	2	1	no	—
669	C₄²×C₂₉	—	2	1	no	—
670	C₄²×C₂₉	—	2	1	no	—
671	C₄²×C₂₉	—	2	1	no	—
672	C₄²×C₂₉	—	2	1	no	—
673	C₄²×C₂₉	—	2	1	no	—
674	C₄²×C₂₉	—	2	1	no	—
675	C₄²×C₂₉	—	2	1	no	—
676	C₄²×C₂₉	—	2	1	no	—
677	C₄²×C₂₉	—	2	1	no	—
678	C₄²×C₂₉	—	2	1	no	—
679	C₄²×C₂₉	—	2	1	no	—
680	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
683	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
684	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
685	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
686	#61549	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
687	C₂³×C₂₉	—	2	1	no	—
688	C₂³×C₂₉	—	2	1	no	—
689	C₂³×C₂₉	—	2	1	no	—
690	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
691	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
693	Q₈×C₂₉	—	2	1	no	—
694	Q₈×C₂₉	—	2	1	no	—
695	Q₈×C₂₉	—	2	1	no	—
696	Q₈×C₂₉	—	2	1	no	—
697	Q₈×C₂₉	—	2	1	no	—
698	Q₈×C₂₉	—	2	1	no	—
699	Q₈×C₂₉	—	2	1	no	—
700	Q₈×C₂₉	—	2	1	no	—
701	Q₈×C₂₉	—	4	1	no	—
702	Q₈×C₂₉	—	4	2	no	—
703	Q₈×C₂₉	—	4	2	no	—
704	Q₈×C₂₉	—	4	2	no	—
705	Q₈×C₂₉	—	8	1	no	—
706	Q₈×C₂₉	—	8	1	no	—
707	Q₈×C₂₉	C₂×#41	1	2	yes	—
708	Q₈×C₂₉	C₂×#41	1	2	yes	—
709	D₄×C₂₉	—	2	1	no	—
710	D₄×C₂₉	—	2	1	no	—
711	D₄×C₂₉	—	2	1	no	—
712	D₄×C₂₉	—	2	1	no	—
713	D₄×C₂₉	—	2	1	no	—
714	D₄×C₂₉	—	2	1	no	—
715	D₄×C₂₉	—	4	1	no	—
716	D₄×C₂₉	—	4	1	no	—
717	D₄×C₂₉	—	4	1	no	—
718	D₄×C₂₉	—	4	2	no	—
719	D₄×C₂₉	—	4	2	no	—
720	D₄×C₂₉	—	4	2	no	—
721	D₄×C₂₉	—	4	2	no	—
722	D₄×C₂₉	—	8	1	no	—
723	D₄×C₂₉	—	8	1	no	—
724	D₄×C₂₉	—	8	1	no	—
725	D₄×C₂₉	—	8	1	no	—
726	D₄×C₂₉	—	8	1	no	—
727	D₄×C₂₉	—	8	1	no	—
728	D₄×C₂₉	—	8	1	no	—
729	C₂×C₄×C₂₉	—	2	1	no	—
730	C₂×C₄×C₂₉	—	2	1	no	—
731	C₂×C₄×C₂₉	—	2	1	no	—
732	C₂×C₄×C₂₉	—	2	1	no	—
733	C₂×C₄×C₂₉	—	2	1	no	—
734	C₂×C₄×C₂₉	—	2	1	no	—
735	C₂×C₄×C₂₉	—	2	1	no	—
736	C₂×C₄×C₂₉	—	2	1	no	—
737	C₂×C₄×C₂₉	—	2	1	no	—
738	C₂×C₄×C₂₉	—	2	1	no	—
739	C₂×C₄×C₂₉	—	2	1	no	—
740	C₂×C₄×C₂₉	—	2	1	no	—
741	C₂×C₄×C₂₉	—	2	1	no	—
742	C₂×C₄×C₂₉	—	2	1	no	—
743	C₂×C₄×C₂₉	—	2	1	no	—
744	C₂×C₄×C₂₉	—	2	1	no	—
745	C₂×C₄×C₂₉	—	2	1	no	—
746	C₂×C₄×C₂₉	—	2	1	no	—
747	C₂×C₄×C₂₉	—	2	1	no	—
748	C₂×C₄×C₂₉	—	4	1	no	—
749	C₂×C₄×C₂₉	—	4	1	no	—
750	C₂×C₄×C₂₉	—	4	2	no	—
751	C₂×C₄×C₂₉	—	4	2	no	—
752	C₂×C₄×C₂₉	—	4	2	no	—
753	C₂×C₄×C₂₉	—	4	2	no	—
754	C₂×C₄×C₂₉	—	4	2	no	—
755	C₂×C₄×C₂₉	—	4	2	no	—
756	C₂×C₄×C₂₉	—	8	1	no	—
757	C₂×C₄×C₂₉	—	8	1	no	—
758	C₂×C₄×C₂₉	—	8	1	no	—
759	C₂×C₄×C₂₉	—	8	1	no	—
760	C₂×C₄×C₂₉	—	8	1	no	—
761	C₂×C₄×C₂₉	—	8	1	no	—
762	C₂×C₄×C₂₉	—	8	1	no	—
763	C₂×C₄×C₂₉	—	8	1	no	—
764	C₂×C₄×C₂₉	—	8	1	no	—
765	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
777	C₈×C₂₉	—	2	1	no	—
778	C₈×C₂₉	—	2	1	no	—
779	C₈×C₂₉	—	2	1	no	—
780	C₈×C₂₉	—	2	1	no	—
781	C₈×C₂₉	—	2	1	no	—
782	C₈×C₂₉	—	2	1	no	—
783	C₈×C₂₉	—	2	1	no	—
784	C₈×C₂₉	C₂×#41	1	2	yes	—
785	#3524	C₂×C₂₉	1	1	yes	characteristic, complemented
786	#3516	C₂×C₂₉	1	1	yes	characteristic, complemented
787	#3394	C₂×C₂₉	1	1	yes	characteristic, complemented
788	#3383	C₂×C₂₉	1	1	yes	characteristic, complemented
789	#3377	C₂×C₂₉	1	1	yes	characteristic, complemented
790	#3371	C₂×C₂₉	1	1	yes	characteristic, complemented
791	#3357	C₂×C₂₉	1	1	yes	characteristic, complemented
792	#3351	C₂×C₂₉	1	1	yes	characteristic, complemented
793	#3351	C₂×C₂₉	1	1	yes	characteristic, complemented
794	#3321	C₂×C₂₉	1	1	yes	characteristic, complemented
795	#3316	C₂×C₂₉	1	1	yes	characteristic, complemented
796	#3312	C₂×C₂₉	1	1	yes	characteristic, complemented
797	#3309	C₂×C₂₉	1	1	yes	characteristic, complemented
798	#3301	C₂×C₂₉	1	1	yes	characteristic, complemented
799	#3300	C₂×C₂₉	1	1	yes	characteristic, complemented
800	#3278	C₂×C₂₉	1	1	yes	characteristic, complemented
801	#3277	C₂×C₂₉	1	1	yes	characteristic, complemented
802	#3277	C₂×C₂₉	1	1	yes	characteristic, complemented
803	#3183	C₂×C₂₉	1	1	yes	characteristic, complemented
804	#3175	C₂×C₂₉	1	1	yes	characteristic, complemented
805	#3174	C₂×C₂₉	1	1	yes	characteristic, complemented
806	#3127	C₂×C₂₉	1	1	yes	characteristic, complemented
807	#3125	C₂×C₂₉	1	1	yes	characteristic, complemented
808	#3121	C₂×C₂₉	1	1	yes	characteristic, complemented
809	#3119	C₂×C₂₉	1	1	yes	characteristic, complemented
810	#3108	C₂×C₂₉	1	1	yes	characteristic, complemented
811	#3102	C₂×C₂₉	1	1	yes	characteristic, complemented
812	#2969	C₂×C₂₉	1	1	yes	characteristic, complemented
813	#2947	C₂×C₂₉	1	1	yes	characteristic, complemented
814	#2947	C₂×C₂₉	1	1	yes	characteristic, complemented
815	C₄×#137	C₂×C₂₉	1	1	yes	characteristic, complemented
816	C₂²×C₂₉	—	2	1	no	—
817	C₂²×C₂₉	—	2	1	no	—
818	C₂²×C₂₉	—	2	1	no	—
819	C₂²×C₂₉	—	2	1	no	—
820	C₂²×C₂₉	—	2	1	no	—
821	C₂²×C₂₉	—	2	1	no	—
822	C₂²×C₂₉	—	2	1	no	—
823	C₂²×C₂₉	—	2	1	no	—
824	C₂²×C₂₉	—	2	1	no	—
825	C₂²×C₂₉	—	4	1	no	—
826	C₂²×C₂₉	—	4	1	no	—
827	C₂²×C₂₉	—	4	1	no	—
828	C₂²×C₂₉	—	4	1	no	—
829	C₂²×C₂₉	—	4	1	no	—
830	C₂²×C₂₉	—	4	1	no	—
831	C₂²×C₂₉	—	4	1	no	—
832	C₂²×C₂₉	—	4	1	no	—
833	C₂²×C₂₉	—	4	1	no	—
834	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
835	C₄×C₂₉	—	2	1	no	—
836	C₄×C₂₉	—	2	1	no	—
837	C₄×C₂₉	—	2	1	no	—
838	C₄×C₂₉	—	2	1	no	—
839	C₄×C₂₉	—	2	1	no	—
840	C₄×C₂₉	—	2	1	no	—
841	C₄×C₂₉	—	2	1	no	—
842	C₄×C₂₉	—	2	1	no	—
843	C₄×C₂₉	—	2	1	no	—
844	C₄×C₂₉	—	2	1	no	—
845	C₄×C₂₉	—	2	1	no	—
846	C₄×C₂₉	—	2	2	no	—
847	C₄×C₂₉	—	2	2	no	—
848	C₄×C₂₉	—	4	1	no	—
849	C₄×C₂₉	—	4	1	no	—
850	C₄×C₂₉	—	4	1	no	—
851	C₄×C₂₉	—	4	1	no	—
852	C₄×C₂₉	—	4	1	no	—
853	C₄×C₂₉	—	4	1	no	—
854	C₄×C₂₉	—	4	1	no	—
855	C₄×C₂₉	—	4	1	no	—
856	C₄×C₂₉	—	4	1	no	—
857	C₄×C₂₉	—	4	1	no	—
858	C₄×C₂₉	—	4	1	no	—
859	C₄×C₂₉	C₂²×#41	1	1	yes	characteristic
860	C₄×C₂₉	#585	1	1	yes	characteristic
861	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
862	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
863	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
864	#559	—	2	1	no	—
865	#559	C₂²×C₂₉	1	1	yes	characteristic
866	#557	C₂²×C₂₉	1	1	yes	characteristic
867	#557	C₂²×C₂₉	1	1	yes	characteristic
868	#556	—	2	1	no	—
869	#556	C₂²×C₂₉	1	1	yes	characteristic
870	#555	—	2	1	no	—
871	#555	C₂²×C₂₉	1	1	yes	characteristic
872	#554	—	2	1	no	—
873	#554	C₂²×C₂₉	1	1	yes	characteristic
874	#553	—	2	1	no	—
875	#553	—	2	1	no	—
876	#553	C₂²×C₂₉	1	1	yes	characteristic
877	#553	C₂²×C₂₉	1	1	yes	characteristic
878	#552	—	2	1	no	—
879	#552	—	2	1	no	—
880	#552	C₂²×C₂₉	1	1	yes	characteristic
881	#552	C₂²×C₂₉	1	1	yes	characteristic
882	#550	C₂²×C₂₉	1	1	yes	characteristic
883	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
884	#548	C₂²×C₂₉	1	1	yes	characteristic
885	#548	C₂²×C₂₉	1	1	yes	characteristic
886	#548	C₂²×C₂₉	1	1	yes	characteristic
887	#548	C₂²×C₂₉	1	1	yes	characteristic
888	#542	—	2	1	no	—
889	#542	—	2	1	no	—
890	#542	C₂²×C₂₉	1	1	yes	characteristic
891	#542	C₂²×C₂₉	1	1	yes	characteristic
892	#541	—	2	1	no	—
893	#541	C₂²×C₂₉	1	1	yes	characteristic
894	#540	—	2	1	no	—
895	#540	C₂²×C₂₉	1	1	yes	characteristic
896	#529	—	2	1	no	—
897	#529	—	2	1	no	—
898	#529	—	2	1	no	—
899	#529	—	2	1	no	—
900	#529	C₂²×C₂₉	1	1	yes	characteristic
901	#529	C₂²×C₂₉	1	1	yes	characteristic
902	#529	C₂²×C₂₉	1	1	yes	characteristic
903	#520	C₂²×C₂₉	1	1	yes	characteristic
904	#520	C₂²×C₂₉	1	1	yes	characteristic
905	#519	C₂²×C₂₉	1	1	yes	characteristic
906	#519	C₂²×C₂₉	1	1	yes	characteristic
907	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
908	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
909	#500	C₂²×C₂₉	1	1	yes	characteristic
910	#499	C₂²×C₂₉	1	1	yes	characteristic
911	#499	C₂²×C₂₉	1	1	yes	characteristic
912	#495	C₂²×C₂₉	1	1	yes	characteristic
913	#495	C₂²×C₂₉	1	1	yes	characteristic
914	#492	C₂²×C₂₉	1	1	yes	characteristic
915	#491	C₂²×C₂₉	1	1	yes	characteristic
916	#490	C₂²×C₂₉	1	1	yes	characteristic
917	#489	C₂²×C₂₉	1	1	yes	characteristic
918	#489	C₂²×C₂₉	1	1	yes	characteristic
919	#488	C₂²×C₂₉	1	1	yes	characteristic
920	#488	C₂²×C₂₉	1	1	yes	characteristic
921	#485	C₂²×C₂₉	1	1	yes	characteristic
922	#485	C₂²×C₂₉	1	1	yes	characteristic
923	#485	C₂²×C₂₉	1	1	yes	characteristic
924	#485	C₂²×C₂₉	1	1	yes	characteristic
925	#483	C₂²×C₂₉	1	1	yes	characteristic
926	#483	C₂²×C₂₉	1	1	yes	characteristic
927	#482	C₂²×C₂₉	1	1	yes	characteristic
928	#482	C₂²×C₂₉	1	1	yes	characteristic
929	#481	C₂²×C₂₉	1	1	yes	characteristic
930	#481	C₂²×C₂₉	1	1	yes	characteristic
931	#480	C₂²×C₂₉	1	1	yes	characteristic
932	#480	C₂²×C₂₉	1	1	yes	characteristic
933	#479	C₂²×C₂₉	1	1	yes	characteristic
934	#479	C₂²×C₂₉	1	1	yes	characteristic
935	#479	C₂²×C₂₉	1	1	yes	characteristic
936	#479	C₂²×C₂₉	1	1	yes	characteristic
937	#479	C₂²×C₂₉	1	1	yes	characteristic
938	#479	C₂²×C₂₉	1	1	yes	characteristic
939	#478	C₂²×C₂₉	1	1	yes	characteristic
940	#478	C₂²×C₂₉	1	1	yes	characteristic
941	#477	C₂²×C₂₉	1	1	yes	characteristic
942	#476	C₂²×C₂₉	1	1	yes	characteristic
943	#475	C₂²×C₂₉	1	1	yes	characteristic
944	#475	C₂²×C₂₉	1	1	yes	characteristic
945	#470	C₂²×C₂₉	1	1	yes	characteristic
946	#469	C₂²×C₂₉	1	1	yes	characteristic
947	#468	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	#468	C₂²×C₂₉	1	1	yes	characteristic
953	#467	C₂²×C₂₉	1	1	yes	characteristic
954	#466	C₂²×C₂₉	1	1	yes	characteristic
955	#465	C₂²×C₂₉	1	1	yes	characteristic
956	#465	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	#464	C₂²×C₂₉	1	1	yes	characteristic
962	#464	C₂²×C₂₉	1	1	yes	characteristic
963	#463	C₂²×C₂₉	1	1	yes	characteristic
964	#463	C₂²×C₂₉	1	1	yes	characteristic
965	#462	C₂²×C₂₉	1	1	yes	characteristic
966	#462	C₂²×C₂₉	1	1	yes	characteristic
967	#460	C₂²×C₂₉	1	1	yes	characteristic
968	#459	C₂²×C₂₉	1	1	yes	characteristic
969	#452	C₂²×C₂₉	1	1	yes	characteristic
970	#452	C₂²×C₂₉	1	1	yes	characteristic
971	#451	C₂²×C₂₉	1	1	yes	characteristic
972	#451	C₂²×C₂₉	1	1	yes	characteristic
973	#451	C₂²×C₂₉	1	1	yes	characteristic
974	#451	C₂²×C₂₉	1	1	yes	characteristic
975	#449	C₂²×C₂₉	1	1	yes	characteristic
976	#449	C₂²×C₂₉	1	1	yes	characteristic
977	#449	C₂²×C₂₉	1	1	yes	characteristic
978	#449	C₂²×C₂₉	1	1	yes	characteristic
979	#448	C₂²×C₂₉	1	1	yes	characteristic
980	#448	C₂²×C₂₉	1	1	yes	characteristic
981	#446	C₂²×C₂₉	1	1	yes	characteristic
982	C₈×Q₈	C₂²×C₂₉	1	1	yes	characteristic
983	#442	C₂²×C₂₉	1	1	yes	characteristic
984	#441	C₂²×C₂₉	1	1	yes	characteristic
985	#441	C₂²×C₂₉	1	1	yes	characteristic
986	#441	C₂²×C₂₉	1	1	yes	characteristic
987	#441	C₂²×C₂₉	1	1	yes	characteristic
988	#441	C₂²×C₂₉	1	1	yes	characteristic
989	#440	C₂²×C₂₉	1	1	yes	characteristic
990	#440	C₂²×C₂₉	1	1	yes	characteristic
991	#440	C₂²×C₂₉	1	1	yes	characteristic
992	#440	C₂²×C₂₉	1	1	yes	characteristic
993	#440	C₂²×C₂₉	1	1	yes	characteristic
994	#440	C₂²×C₂₉	1	1	yes	characteristic
995	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
996	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
997	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
998	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
999	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
1000	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
1001	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
1002	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1003	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1004	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1005	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1006	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1007	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1008	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1009	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1010	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1011	#436	C₂²×C₂₉	1	1	yes	characteristic
1012	#436	C₂²×C₂₉	1	1	yes	characteristic
1013	#436	C₂²×C₂₉	1	1	yes	characteristic
1014	#435	C₂²×C₂₉	1	1	yes	characteristic
1015	#435	C₂²×C₂₉	1	1	yes	characteristic
1016	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic
1017	#433	C₂²×C₂₉	1	1	yes	characteristic
1018	#433	C₂²×C₂₉	1	1	yes	characteristic
1019	#431	C₂²×C₂₉	1	1	yes	characteristic
1020	#428	C₂²×C₂₉	1	1	yes	characteristic
1021	#428	C₂²×C₂₉	1	1	yes	characteristic
1022	#428	C₂²×C₂₉	1	1	yes	characteristic
1023	#419	C₂²×C₂₉	1	1	yes	characteristic
1024	#417	C₂²×C₂₉	1	1	yes	characteristic
1025	#416	C₂²×C₂₉	1	1	yes	characteristic
1026	#416	C₂²×C₂₉	1	1	yes	characteristic
1027	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
1028	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
1029	#405	C₂²×C₂₉	1	1	yes	characteristic
1030	#405	C₂²×C₂₉	1	1	yes	characteristic
1031	C₄×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
1032	C₂×C₂₉	—	4	1	no	—
1033	C₂×C₂₉	—	4	1	no	—
1034	C₂×C₂₉	—	4	1	no	—
1035	C₂×C₂₉	—	8	1	no	—
1036	C₂×C₂₉	—	8	1	no	—
1037	C₂×C₂₉	—	8	1	no	—
1038	C₂×C₂₉	D₄×#41	1	1	yes	characteristic
1039	C₂×C₂₉	#3584	1	1	yes	characteristic
1040	C₂×C₂₉	#3586	1	1	yes	characteristic
1041	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1042	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1043	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1044	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1045	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1046	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1047	#137	—	2	4	no	—
1048	#137	—	2	4	no	—
1049	#137	—	2	4	no	—
1050	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1051	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1052	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1053	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1054	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1055	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1064	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1066	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1067	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1072	C₄⋊Q₈	—	2	1	no	—
1073	C₄⋊Q₈	—	2	1	no	—
1074	C₄⋊Q₈	—	2	1	no	—
1075	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1078	#127	—	2	1	no	—
1079	#127	C₂³×C₂₉	1	1	yes	characteristic
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	D₄×C₂₉	1	1	yes	characteristic
1093	#126	D₄×C₂₉	1	1	yes	characteristic
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	D₄×C₂₉	1	1	yes	characteristic
1104	#125	C₂³×C₂₉	1	1	yes	characteristic
1105	#125	C₂³×C₂₉	1	1	yes	characteristic
1106	#125	C₂³×C₂₉	1	1	yes	characteristic
1107	#125	C₂³×C₂₉	1	1	yes	characteristic
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	D₄×C₂₉	1	1	yes	characteristic
1118	#124	C₂³×C₂₉	1	1	yes	characteristic
1119	#124	C₂³×C₂₉	1	1	yes	characteristic
1120	#124	C₂³×C₂₉	1	1	yes	characteristic
1121	#124	C₂³×C₂₉	1	1	yes	characteristic
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	D₄×C₂₉	1	1	yes	characteristic
1135	#123	D₄×C₂₉	1	1	yes	characteristic
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	D₄×C₂₉	1	1	yes	characteristic
1166	#121	C₂³×C₂₉	1	1	yes	characteristic
1167	#121	C₂³×C₂₉	1	1	yes	characteristic
1168	#121	C₂³×C₂₉	1	1	yes	characteristic
1169	#121	C₂³×C₂₉	1	1	yes	characteristic
1170	#121	C₂³×C₂₉	1	1	yes	characteristic
1171	#121	C₂³×C₂₉	1	1	yes	characteristic
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	2	1	no	—
1179	C₄×Q₈	—	2	1	no	—
1180	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	C₂³×C₂₉	1	1	yes	characteristic
1236	#117	C₂³×C₂₉	1	1	yes	characteristic
1237	#117	C₂³×C₂₉	1	1	yes	characteristic
1238	#117	C₂³×C₂₉	1	1	yes	characteristic
1239	#117	C₂³×C₂₉	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1246	C₂×C₄²	—	2	1	no	—
1247	C₂×C₄²	—	2	1	no	—
1248	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1249	#107	C₂³×C₂₉	1	1	yes	characteristic
1250	#107	C₂³×C₂₉	1	1	yes	characteristic
1251	#107	C₂³×C₂₉	1	1	yes	characteristic
1252	#107	C₂³×C₂₉	1	1	yes	characteristic
1253	#107	C₂³×C₂₉	1	1	yes	characteristic
1254	#107	C₂³×C₂₉	1	1	yes	characteristic
1255	#107	C₂³×C₂₉	1	1	yes	characteristic
1256	#107	C₂³×C₂₉	1	1	yes	characteristic
1257	#106	C₂³×C₂₉	1	1	yes	characteristic
1258	#106	C₂³×C₂₉	1	1	yes	characteristic
1259	#106	C₂³×C₂₉	1	1	yes	characteristic
1260	#106	C₂³×C₂₉	1	1	yes	characteristic
1261	#106	C₂³×C₂₉	1	1	yes	characteristic
1262	#106	C₂³×C₂₉	1	1	yes	characteristic
1263	#106	C₂³×C₂₉	1	1	yes	characteristic
1264	#106	C₂³×C₂₉	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1271	#103	C₂³×C₂₉	1	1	yes	characteristic
1272	#103	C₂³×C₂₉	1	1	yes	characteristic
1273	#103	C₂³×C₂₉	1	1	yes	characteristic
1274	#103	C₂³×C₂₉	1	1	yes	characteristic
1275	#103	C₂³×C₂₉	1	1	yes	characteristic
1276	#103	C₂³×C₂₉	1	1	yes	characteristic
1277	#103	C₂³×C₂₉	1	1	yes	characteristic
1278	#103	C₂³×C₂₉	1	1	yes	characteristic
1279	#103	C₂³×C₂₉	1	1	yes	characteristic
1280	#103	C₂³×C₂₉	1	1	yes	characteristic
1281	#103	C₂³×C₂₉	1	1	yes	characteristic
1282	#103	C₂³×C₂₉	1	1	yes	characteristic
1283	#103	C₂³×C₂₉	1	1	yes	characteristic
1284	#103	C₂³×C₂₉	1	1	yes	characteristic
1285	#103	C₂³×C₂₉	1	1	yes	characteristic
1286	#103	C₂³×C₂₉	1	1	yes	characteristic
1287	#103	C₂³×C₂₉	1	1	yes	characteristic
1288	#103	C₂³×C₂₉	1	1	yes	characteristic
1289	#103	C₂³×C₂₉	1	1	yes	characteristic
1290	#103	C₂³×C₂₉	1	1	yes	characteristic
1291	#102	C₂³×C₂₉	1	1	yes	characteristic
1292	#102	C₂³×C₂₉	1	1	yes	characteristic
1293	#102	C₂³×C₂₉	1	1	yes	characteristic
1294	#102	C₂³×C₂₉	1	1	yes	characteristic
1295	#102	C₂³×C₂₉	1	1	yes	characteristic
1296	#102	C₂³×C₂₉	1	1	yes	characteristic
1297	#102	C₂³×C₂₉	1	1	yes	characteristic
1298	#102	C₂³×C₂₉	1	1	yes	characteristic
1299	#102	C₂³×C₂₉	1	1	yes	characteristic
1300	#102	C₂³×C₂₉	1	1	yes	characteristic
1301	#102	C₂³×C₂₉	1	1	yes	characteristic
1302	#102	C₂³×C₂₉	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1309	#97	C₂³×C₂₉	1	1	yes	characteristic
1310	#97	C₂³×C₂₉	1	1	yes	characteristic
1311	#97	C₂³×C₂₉	1	1	yes	characteristic
1312	#97	C₂³×C₂₉	1	1	yes	characteristic
1313	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1314	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1315	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1316	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1319	C₂₉	#61549	1	1	yes	characteristic, direct product factor, Sylow
1320	#41	—	2	2	no	—
1321	#41	—	2	2	no	—
1322	#41	—	2	2	no	—
1323	#41	—	4	1	no	—
1324	#41	—	4	1	no	—
1325	#41	—	4	1	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	2	no	—
1332	C₂×Q₈	—	2	2	no	—
1333	C₂×Q₈	—	2	2	no	—
1334	C₂×Q₈	—	4	1	no	—
1335	C₂×Q₈	—	4	1	no	—
1336	C₂×Q₈	—	4	1	no	—
1337	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
1338	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1355	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1356	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1357	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1358	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1359	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1376	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	2	2	no	—
1382	Q₁₆	—	2	2	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	Q₁₆	#41×C₂₉	1	4	yes	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	2	2	no	—
1388	SD₁₆	—	2	2	no	—
1389	SD₁₆	—	2	2	no	—
1390	SD₁₆	—	2	2	no	—
1391	SD₁₆	—	2	2	no	—
1392	SD₁₆	—	4	1	no	—
1393	SD₁₆	—	4	1	no	—
1394	D₈	—	4	1	no	—
1395	D₈	—	4	1	no	—
1396	M₁₆	—	2	2	no	—
1397	M₁₆	—	2	2	no	—
1398	M₁₆	—	2	2	no	—
1399	M₁₆	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	—	4	1	no	—
1402	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1407	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1408	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1409	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
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	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1460	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1461	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1520	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1521	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1525	C₂³	—	2	1	no	—
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1529	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1530	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	2	1	no	—
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	4	1	no	—
1540	Q₈	—	4	2	no	—
1541	Q₈	—	4	2	no	—
1542	Q₈	—	4	2	no	—
1543	Q₈	—	8	1	no	—
1544	Q₈	—	8	1	no	—
1545	Q₈	C₂×#41×C₂₉	1	2	yes	—
1546	Q₈	C₂×#41×C₂₉	1	2	yes	—
1547	D₄	—	2	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	2	1	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	1	no	—
1556	D₄	—	4	2	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	4	2	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	—	8	1	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	4	1	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	4	2	no	—
1590	C₂×C₄	—	4	2	no	—
1591	C₂×C₄	—	4	2	no	—
1592	C₂×C₄	—	4	2	no	—
1593	C₂×C₄	—	4	2	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1604	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1608	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1613	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1614	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	C₂×#41×C₂₉	1	2	yes	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	2	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	2	2	no	—
1646	C₄	—	2	2	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	C₂²×#41×C₂₉	1	1	yes	characteristic
1667	C₄	C₂₉×#585	1	1	yes	characteristic
1668	C₂	—	4	1	no	—
1669	C₂	—	4	1	no	—
1670	C₂	—	4	1	no	—
1671	C₂	—	8	1	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	8	1	no	—
1674	C₂	D₄×#41×C₂₉	1	1	yes	characteristic
1675	C₂	C₂₉×#3584	1	1	yes	characteristic
1676	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×#3524	C₂	semidirect
2. C₂₉×#3516	C₂	semidirect
3. C₂₉×#3394	C₂	semidirect
4. C₂₉×#3383	C₂	semidirect
5. C₂₉×#3377	C₂	semidirect
6. C₂₉×#3371	C₂	semidirect
7. C₂₉×#3357	C₂	semidirect
8. C₂₉×#3351	C₂	semidirect
9. C₂₉×#3351	C₂	semidirect
10. C₂₉×#3321	C₂	semidirect
11. C₂₉×#3316	C₂	semidirect
12. C₂₉×#3312	C₂	semidirect
13. C₂₉×#3309	C₂	semidirect
14. C₂₉×#3301	C₂	semidirect
15. C₂₉×#3300	C₂	semidirect
16. C₂₉×#3278	C₂	semidirect
17. C₂₉×#3277	C₂	semidirect
18. C₂₉×#3277	C₂	semidirect
19. C₂₉×#3183	C₂	semidirect
20. C₂₉×#3175	C₂	semidirect
21. C₂₉×#3174	C₂	semidirect
22. C₂₉×#3127	C₂	semidirect
23. C₂₉×#3125	C₂	semidirect
24. C₂₉×#3121	C₂	semidirect
25. C₂₉×#3119	C₂	semidirect
26. C₂₉×#3108	C₂	semidirect
27. C₂₉×#3102	C₂	semidirect
28. C₂₉×#2969	C₂	semidirect
29. C₂₉×#2947	C₂	semidirect
30. C₂₉×#2947	C₂	semidirect
31. C₄×C₂₉×#137	C₂	semidirect
686. #61549	C₂₉	direct (N × H)
785. #3524	C₂×C₂₉	semidirect
786. #3516	C₂×C₂₉	semidirect
787. #3394	C₂×C₂₉	semidirect
788. #3383	C₂×C₂₉	semidirect
789. #3377	C₂×C₂₉	semidirect
790. #3371	C₂×C₂₉	semidirect
791. #3357	C₂×C₂₉	semidirect
792. #3351	C₂×C₂₉	semidirect
793. #3351	C₂×C₂₉	semidirect
794. #3321	C₂×C₂₉	semidirect
795. #3316	C₂×C₂₉	semidirect
796. #3312	C₂×C₂₉	semidirect
797. #3309	C₂×C₂₉	semidirect
798. #3301	C₂×C₂₉	semidirect
799. #3300	C₂×C₂₉	semidirect
800. #3278	C₂×C₂₉	semidirect
801. #3277	C₂×C₂₉	semidirect
802. #3277	C₂×C₂₉	semidirect
803. #3183	C₂×C₂₉	semidirect
804. #3175	C₂×C₂₉	semidirect
805. #3174	C₂×C₂₉	semidirect
806. #3127	C₂×C₂₉	semidirect
807. #3125	C₂×C₂₉	semidirect
808. #3121	C₂×C₂₉	semidirect
809. #3119	C₂×C₂₉	semidirect
810. #3108	C₂×C₂₉	semidirect
811. #3102	C₂×C₂₉	semidirect
812. #2969	C₂×C₂₉	semidirect
813. #2947	C₂×C₂₉	semidirect
814. #2947	C₂×C₂₉	semidirect
815. C₄×#137	C₂×C₂₉	semidirect
1319. C₂₉	#61549	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×#3524	2
C₂₉×#3516	2
C₂₉×#3394	2
C₂₉×#3383	2
C₂₉×#3377	2
C₂₉×#3371	2
C₂₉×#3357	2
C₂₉×#3351	2
C₂₉×#3321	2
C₂₉×#3316	2
C₂₉×#3312	2
C₂₉×#3309	2
C₂₉×#3301	2
C₂₉×#3300	2
C₂₉×#3278	2
C₂₉×#3277	2
C₂₉×#3183	2
C₂₉×#3175	2
C₂₉×#3174	2
C₂₉×#3127	2
C₂₉×#3125	2
C₂₉×#3121	2
C₂₉×#3119	2
C₂₉×#3108	2
C₂₉×#3102	2
C₂₉×#2969	2
C₂₉×#2947	2
C₄×C₂₉×#137	2
#61549	29

Subgroups — C29×#61549 #20356449

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61549 #20356449