Subgroups — C₂₉×#61531 #20356431

Order 7424.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3339	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3309	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3307	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3306	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3304	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3180	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3179	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3174	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#3122	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₉×#3120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₉×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₉×#3106	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₉×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₉×#2951	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₉×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₉×#2943	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₂₉×#135	C₂²	1	1	yes	characteristic
34	C₂×C₂₉×#135	C₂²	1	1	yes	characteristic
35	C₂₉×#557	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#556	C₂²	1	1	yes	characteristic
37	C₂₉×#556	C₂²	1	1	yes	characteristic
38	C₂₉×#554	C₂²	1	1	yes	characteristic
39	C₂₉×#553	—	2	1	no	—
40	C₂₉×#553	—	2	1	no	—
41	C₂₉×#553	—	2	1	no	—
42	C₂₉×#553	C₂²	1	1	yes	characteristic
43	C₂₉×#553	C₂²	1	1	yes	characteristic
44	C₂₉×#553	C₂²	1	1	yes	characteristic, complemented
45	C₂₉×#552	—	2	1	no	—
46	C₂₉×#552	C₂²	1	1	yes	characteristic
47	C₂₉×#551	—	2	1	no	—
48	C₂₉×#551	—	2	1	no	—
49	C₂₉×#550	—	2	1	no	—
50	C₂₉×#550	C₂²	1	1	yes	characteristic
51	C₂₉×#550	C₂²	1	1	yes	characteristic
52	C₂₉×#550	C₂²	1	1	yes	characteristic, complemented
53	C₂₉×#550	C₂²	1	1	yes	characteristic, complemented
54	C₂₉×#547	—	2	1	no	—
55	C₂₉×#547	C₂²	1	1	yes	characteristic
56	C₂₉×#547	C₂²	1	1	yes	characteristic
57	C₂₉×#546	C₂²	1	1	yes	characteristic
58	C₂₉×#546	C₂²	1	1	yes	characteristic
59	C₂₉×#542	C₂²	1	1	yes	characteristic
60	C₂₉×#541	C₂²	1	1	yes	characteristic
61	C₂₉×#540	—	2	1	no	—
62	C₂₉×#540	—	2	1	no	—
63	C₂₉×#540	C₂²	1	1	yes	characteristic
64	C₂₉×#540	C₂²	1	1	yes	characteristic, complemented
65	C₂₉×#539	—	2	1	no	—
66	C₂₉×#538	—	2	1	no	—
67	C₂₉×#532	—	2	1	no	—
68	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₂₉×#126	—	2	1	no	—
74	C₂₉×#520	C₂²	1	1	yes	characteristic
75	C₂₉×#520	C₂²	1	1	yes	characteristic
76	C₂₉×#520	C₂²	1	1	yes	characteristic, complemented
77	C₂₉×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
79	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic, complemented
80	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
81	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
82	C₂₉×#499	C₂²	1	1	yes	characteristic, complemented
83	C₂₉×#496	C₂²	1	1	yes	characteristic
84	C₂₉×#496	C₂²	1	1	yes	characteristic
85	C₂₉×#492	C₂²	1	1	yes	characteristic, complemented
86	C₂₉×#491	C₂²	1	1	yes	characteristic, complemented
87	C₂₉×#490	C₂²	1	1	yes	characteristic, complemented
88	C₂₉×#490	C₂²	1	1	yes	characteristic, complemented
89	C₂₉×#489	C₂²	1	1	yes	characteristic
90	C₂₉×#488	C₂²	1	1	yes	characteristic
91	C₂₉×#486	C₂²	1	1	yes	characteristic, complemented
92	C₂₉×#485	C₂²	1	1	yes	characteristic, complemented
93	C₂₉×#484	C₂²	1	1	yes	characteristic
94	C₂₉×#483	C₂²	1	1	yes	characteristic
95	C₂₉×#483	C₂²	1	1	yes	characteristic, complemented
96	C₂₉×#482	C₂²	1	1	yes	characteristic
97	C₂₉×#482	C₂²	1	1	yes	characteristic
98	C₂₉×#482	C₂²	1	1	yes	characteristic
99	C₂₉×#482	C₂²	1	1	yes	characteristic, complemented
100	C₂₉×#482	C₂²	1	1	yes	characteristic, complemented
101	C₂₉×#481	C₂²	1	1	yes	characteristic
102	C₂₉×#481	C₂²	1	1	yes	characteristic, complemented
103	C₂₉×#480	C₂²	1	1	yes	characteristic, complemented
104	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
105	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
106	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
107	C₂₉×#478	C₂²	1	1	yes	characteristic
108	C₂₉×#478	C₂²	1	1	yes	characteristic
109	C₂₉×#478	C₂²	1	1	yes	characteristic
110	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
111	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
112	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
113	C₂₉×#476	C₂²	1	1	yes	characteristic
114	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
115	C₂₉×#475	C₂²	1	1	yes	characteristic, complemented
116	C₂₉×#469	C₂²	1	1	yes	characteristic
117	C₂₉×#468	C₂²	1	1	yes	characteristic
118	C₂₉×#468	C₂²	1	1	yes	characteristic
119	C₂₉×#468	C₂²	1	1	yes	characteristic, complemented
120	C₂₉×#466	C₂²	1	1	yes	characteristic
121	C₂₉×#466	C₂²	1	1	yes	characteristic
122	C₂₉×#466	C₂²	1	1	yes	characteristic
123	C₂₉×#465	C₂²	1	1	yes	characteristic
124	C₂₉×#465	C₂²	1	1	yes	characteristic
125	C₂₉×#465	C₂²	1	1	yes	characteristic, complemented
126	C₂₉×#465	C₂²	1	1	yes	characteristic, complemented
127	C₂₉×#465	C₂²	1	1	yes	characteristic, complemented
128	C₂₉×#464	C₂²	1	1	yes	characteristic
129	C₂₉×#464	C₂²	1	1	yes	characteristic
130	C₂₉×#463	C₂²	1	1	yes	characteristic
131	C₂₉×#463	C₂²	1	1	yes	characteristic
132	C₂₉×#462	C₂²	1	1	yes	characteristic, complemented
133	C₂₉×#461	C₂²	1	1	yes	characteristic, complemented
134	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
135	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
136	C₂₉×#459	C₂²	1	1	yes	characteristic
137	C₂₉×#459	C₂²	1	1	yes	characteristic
138	C₂₉×#459	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×#452	C₂²	1	1	yes	characteristic, complemented
143	C₂₉×#452	C₂²	1	1	yes	characteristic, complemented
144	C₂₉×#449	C₂²	1	1	yes	characteristic
145	C₂₉×#449	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×#447	C₂²	1	1	yes	characteristic
151	C₂₉×#447	C₂²	1	1	yes	characteristic
152	C₂₉×#446	C₂²	1	1	yes	characteristic, complemented
153	C₂₉×#446	C₂²	1	1	yes	characteristic, complemented
154	C₂₉×#442	C₂²	1	1	yes	characteristic
155	C₂₉×#442	C₂²	1	1	yes	characteristic
156	C₂₉×#442	C₂²	1	1	yes	characteristic
157	C₂₉×#442	C₂²	1	1	yes	characteristic
158	C₂₉×#442	C₂²	1	1	yes	characteristic
159	C₂₉×#441	C₂²	1	1	yes	characteristic, complemented
160	C₂₉×#441	C₂²	1	1	yes	characteristic, complemented
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, complemented
166	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
167	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
168	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
169	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
173	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
179	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
180	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
182	C₂₉×#435	C₂²	1	1	yes	characteristic
183	C₂₉×#435	C₂²	1	1	yes	characteristic
184	C₂₉×#435	C₂²	1	1	yes	characteristic
185	C₂₉×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
188	C₂₉×#433	C₂²	1	1	yes	characteristic
189	C₂₉×#433	C₂²	1	1	yes	characteristic, complemented
190	C₂₉×#431	C₂²	1	1	yes	characteristic, complemented
191	C₂₉×#428	C₂²	1	1	yes	characteristic
192	C₂₉×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic, complemented
194	C₂₉×#417	C₂²	1	1	yes	characteristic
195	C₂₉×#417	C₂²	1	1	yes	characteristic, complemented
196	C₂₉×#416	C₂²	1	1	yes	characteristic
197	C₂₉×#416	C₂²	1	1	yes	characteristic
198	C₂₉×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
200	C₂₉×#405	C₂²	1	1	yes	characteristic
201	C₂₉×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₂₉	—	2	1	no	—
204	C₂×#41×C₂₉	—	2	1	no	—
205	C₂×#41×C₂₉	—	2	1	no	—
206	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
207	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
208	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
209	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
210	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
212	C₂₉×AGL(1,ℤ/8)	—	2	4	no	—
213	C₂₉×#135	—	2	4	no	—
214	C₂₉×#135	—	2	4	no	—
215	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×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×D₈×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×D₈×C₂₉	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
234	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
237	C₂₉×C₄⋊Q₈	—	2	1	no	—
238	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₂₉×#127	—	2	1	no	—
242	C₂₉×#127	—	2	1	no	—
243	C₂₉×#127	—	2	1	no	—
244	C₂₉×#127	C₂³	1	1	yes	characteristic
245	C₂₉×#127	C₂³	1	1	yes	characteristic
246	C₂₉×#127	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
255	C₂₉×#126	—	2	1	no	—
256	C₂₉×#126	—	2	1	no	—
257	C₂₉×#126	—	2	1	no	—
258	C₂₉×#126	—	2	1	no	—
259	C₂₉×#126	D₄	1	1	yes	characteristic
260	C₂₉×#126	D₄	1	1	yes	characteristic
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	—	2	1	no	—
266	C₂₉×#125	D₄	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×#125	C₂³	1	1	yes	characteristic
271	C₂₉×#124	—	2	1	no	—
272	C₂₉×#124	—	2	1	no	—
273	C₂₉×#124	—	2	1	no	—
274	C₂₉×#124	D₄	1	1	yes	characteristic
275	C₂₉×#124	C₂³	1	1	yes	characteristic
276	C₂₉×#124	C₂³	1	1	yes	characteristic
277	C₂₉×#123	—	2	1	no	—
278	C₂₉×#123	—	2	1	no	—
279	C₂₉×#123	—	2	1	no	—
280	C₂₉×#123	—	2	1	no	—
281	C₂₉×#123	—	2	1	no	—
282	C₂₉×#123	—	2	1	no	—
283	C₂₉×#123	—	2	1	no	—
284	C₂₉×#123	—	2	1	no	—
285	C₂₉×#123	—	2	1	no	—
286	C₂₉×#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	D₄	1	1	yes	characteristic
294	C₂₉×#123	D₄	1	1	yes	characteristic
295	C₂₉×C₂²⋊Q₈	—	2	1	no	—
296	C₂₉×C₂²⋊Q₈	—	2	1	no	—
297	C₂₉×C₂²⋊Q₈	—	2	1	no	—
298	C₂₉×C₂²⋊Q₈	—	2	1	no	—
299	C₂₉×C₂²⋊Q₈	—	2	1	no	—
300	C₂₉×C₂²⋊Q₈	—	2	1	no	—
301	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
302	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₂₉×#121	—	2	1	no	—
307	C₂₉×#121	—	2	1	no	—
308	C₂₉×#121	—	2	1	no	—
309	C₂₉×#121	—	2	1	no	—
310	C₂₉×#121	—	2	1	no	—
311	C₂₉×#121	—	2	1	no	—
312	C₂₉×#121	—	2	1	no	—
313	C₂₉×#121	—	2	1	no	—
314	C₂₉×#121	—	2	1	no	—
315	C₂₉×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
327	C₂₉×#121	C₂³	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	C₂₉×#121	C₂³	1	1	yes	characteristic
335	C₂₉×#120	—	2	1	no	—
336	C₂₉×#120	—	2	1	no	—
337	C₄×Q₈×C₂₉	—	2	1	no	—
338	C₄×Q₈×C₂₉	—	2	1	no	—
339	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
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×D₄×C₂₉	—	2	1	no	—
349	C₄×D₄×C₂₉	—	2	1	no	—
350	C₄×D₄×C₂₉	—	2	1	no	—
351	C₄×D₄×C₂₉	—	2	1	no	—
352	C₄×D₄×C₂₉	—	2	1	no	—
353	C₄×D₄×C₂₉	—	2	1	no	—
354	C₄×D₄×C₂₉	—	2	1	no	—
355	C₄×D₄×C₂₉	—	2	1	no	—
356	C₄×D₄×C₂₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
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	C₂₉×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
392	C₂₉×#117	C₂³	1	1	yes	characteristic
393	C₂₉×#117	C₂³	1	1	yes	characteristic
394	C₂₉×#117	C₂³	1	1	yes	characteristic
395	C₂₉×#117	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
397	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
398	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
399	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
400	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
401	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
446	C₂₉×#102	C₂³	1	1	yes	characteristic
447	C₂₉×#102	C₂³	1	1	yes	characteristic
448	C₂₉×#102	C₂³	1	1	yes	characteristic
449	C₂₉×#102	C₂³	1	1	yes	characteristic
450	C₂₉×#102	C₂³	1	1	yes	characteristic
451	C₂₉×#102	C₂³	1	1	yes	characteristic
452	C₂₉×#102	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	C₂₉×#97	C₂³	1	1	yes	characteristic
476	C₂₉×#97	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	C₂⁴×C₂₉	—	2	1	no	—
482	#41×C₂₉	—	2	2	no	—
483	#41×C₂₉	—	2	2	no	—
484	#41×C₂₉	—	2	2	no	—
485	#41×C₂₉	—	2	2	no	—
486	#41×C₂₉	—	2	2	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	—	8	2	no	—
493	#41×C₂₉	—	8	2	no	—
494	#41×C₂₉	—	8	2	no	—
495	C₂×Q₈×C₂₉	—	2	1	no	—
496	C₂×Q₈×C₂₉	—	2	1	no	—
497	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₂₉	—	2	2	no	—
502	C₂×D₄×C₂₉	—	2	1	no	—
503	C₂×D₄×C₂₉	—	2	1	no	—
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	—	2	1	no	—
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	—	4	1	no	—
523	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
527	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
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	—	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	—	2	1	no	—
549	C₂²×C₄×C₂₉	—	2	1	no	—
550	C₂²×C₄×C₂₉	—	2	1	no	—
551	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
556	Q₁₆×C₂₉	—	2	2	no	—
557	Q₁₆×C₂₉	—	2	2	no	—
558	SD₁₆×C₂₉	—	2	2	no	—
559	SD₁₆×C₂₉	—	2	2	no	—
560	SD₁₆×C₂₉	—	2	2	no	—
561	SD₁₆×C₂₉	—	4	1	no	—
562	SD₁₆×C₂₉	—	4	1	no	—
563	SD₁₆×C₂₉	—	4	1	no	—
564	SD₁₆×C₂₉	—	4	1	no	—
565	SD₁₆×C₂₉	#41	1	4	yes	complemented
566	D₈×C₂₉	—	2	2	no	—
567	D₈×C₂₉	—	2	2	no	—
568	D₈×C₂₉	—	2	2	no	—
569	D₈×C₂₉	—	2	2	no	—
570	D₈×C₂₉	—	4	1	no	—
571	D₈×C₂₉	—	4	1	no	—
572	M₁₆×C₂₉	—	2	2	no	—
573	M₁₆×C₂₉	—	4	1	no	—
574	C₂×C₈×C₂₉	—	2	2	no	—
575	C₂×C₈×C₂₉	—	2	2	no	—
576	C₂×C₈×C₂₉	—	4	1	no	—
577	C₂×C₈×C₂₉	—	4	1	no	—
578	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
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	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	—	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	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	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
681	C₄²×C₂₉	—	2	1	no	—
682	C₄²×C₂₉	—	2	1	no	—
683	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
686	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
687	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
688	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
689	#61531	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
690	C₂³×C₂₉	—	2	1	no	—
691	C₂³×C₂₉	—	2	1	no	—
692	C₂³×C₂₉	—	2	1	no	—
693	C₂³×C₂₉	—	2	1	no	—
694	C₂³×C₂₉	—	2	1	no	—
695	C₂³×C₂₉	—	4	2	no	—
696	C₂³×C₂₉	—	8	1	no	—
697	C₂³×C₂₉	—	8	1	no	—
698	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
700	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
701	Q₈×C₂₉	—	2	1	no	—
702	Q₈×C₂₉	—	2	1	no	—
703	Q₈×C₂₉	—	2	1	no	—
704	Q₈×C₂₉	—	2	1	no	—
705	Q₈×C₂₉	—	2	1	no	—
706	Q₈×C₂₉	—	4	1	no	—
707	Q₈×C₂₉	—	4	2	no	—
708	Q₈×C₂₉	—	8	1	no	—
709	Q₈×C₂₉	C₂×#41	1	2	yes	—
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	—	2	1	no	—
716	D₄×C₂₉	—	2	1	no	—
717	D₄×C₂₉	—	2	1	no	—
718	D₄×C₂₉	—	2	1	no	—
719	D₄×C₂₉	—	4	1	no	—
720	D₄×C₂₉	—	4	1	no	—
721	D₄×C₂₉	—	4	1	no	—
722	D₄×C₂₉	—	4	2	no	—
723	D₄×C₂₉	—	4	2	no	—
724	D₄×C₂₉	—	4	2	no	—
725	D₄×C₂₉	—	4	2	no	—
726	D₄×C₂₉	—	4	2	no	—
727	D₄×C₂₉	—	4	2	no	—
728	D₄×C₂₉	—	4	2	no	—
729	D₄×C₂₉	—	8	1	no	—
730	D₄×C₂₉	—	8	1	no	—
731	D₄×C₂₉	—	8	1	no	—
732	D₄×C₂₉	—	8	1	no	—
733	D₄×C₂₉	—	8	1	no	—
734	D₄×C₂₉	—	8	1	no	—
735	D₄×C₂₉	—	8	1	no	—
736	D₄×C₂₉	—	8	1	no	—
737	D₄×C₂₉	—	8	1	no	—
738	D₄×C₂₉	—	8	1	no	—
739	D₄×C₂₉	—	8	1	no	—
740	D₄×C₂₉	—	8	1	no	—
741	D₄×C₂₉	—	8	1	no	—
742	D₄×C₂₉	C₂×#41	1	2	yes	—
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	—	2	1	no	—
749	C₂×C₄×C₂₉	—	2	1	no	—
750	C₂×C₄×C₂₉	—	2	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	—	4	1	no	—
761	C₂×C₄×C₂₉	—	4	1	no	—
762	C₂×C₄×C₂₉	—	4	2	no	—
763	C₂×C₄×C₂₉	—	4	2	no	—
764	C₂×C₄×C₂₉	—	4	2	no	—
765	C₂×C₄×C₂₉	—	4	2	no	—
766	C₂×C₄×C₂₉	—	4	2	no	—
767	C₂×C₄×C₂₉	—	4	2	no	—
768	C₂×C₄×C₂₉	—	8	1	no	—
769	C₂×C₄×C₂₉	—	8	1	no	—
770	C₂×C₄×C₂₉	—	8	1	no	—
771	C₂×C₄×C₂₉	—	8	1	no	—
772	C₂×C₄×C₂₉	—	8	1	no	—
773	C₂×C₄×C₂₉	—	8	1	no	—
774	C₂×C₄×C₂₉	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
794	C₈×C₂₉	—	2	1	no	—
795	C₈×C₂₉	—	2	1	no	—
796	C₈×C₂₉	—	2	1	no	—
797	C₈×C₂₉	—	2	1	no	—
798	C₈×C₂₉	—	2	1	no	—
799	C₈×C₂₉	—	2	1	no	—
800	C₈×C₂₉	—	2	1	no	—
801	C₈×C₂₉	C₂×#41	1	2	yes	—
802	#3521	C₂×C₂₉	1	1	yes	characteristic, complemented
803	#3517	C₂×C₂₉	1	1	yes	characteristic, complemented
804	#3397	C₂×C₂₉	1	1	yes	characteristic, complemented
805	#3388	C₂×C₂₉	1	1	yes	characteristic, complemented
806	#3377	C₂×C₂₉	1	1	yes	characteristic, complemented
807	#3366	C₂×C₂₉	1	1	yes	characteristic, complemented
808	#3350	C₂×C₂₉	1	1	yes	characteristic, complemented
809	#3343	C₂×C₂₉	1	1	yes	characteristic, complemented
810	#3339	C₂×C₂₉	1	1	yes	characteristic, complemented
811	#3317	C₂×C₂₉	1	1	yes	characteristic, complemented
812	#3309	C₂×C₂₉	1	1	yes	characteristic, complemented
813	#3307	C₂×C₂₉	1	1	yes	characteristic, complemented
814	#3306	C₂×C₂₉	1	1	yes	characteristic, complemented
815	#3304	C₂×C₂₉	1	1	yes	characteristic, complemented
816	#3297	C₂×C₂₉	1	1	yes	characteristic, complemented
817	#3284	C₂×C₂₉	1	1	yes	characteristic, complemented
818	#3268	C₂×C₂₉	1	1	yes	characteristic, complemented
819	#3268	C₂×C₂₉	1	1	yes	characteristic, complemented
820	#3180	C₂×C₂₉	1	1	yes	characteristic, complemented
821	#3179	C₂×C₂₉	1	1	yes	characteristic, complemented
822	#3174	C₂×C₂₉	1	1	yes	characteristic, complemented
823	#3125	C₂×C₂₉	1	1	yes	characteristic, complemented
824	#3122	C₂×C₂₉	1	1	yes	characteristic, complemented
825	#3120	C₂×C₂₉	1	1	yes	characteristic, complemented
826	#3119	C₂×C₂₉	1	1	yes	characteristic, complemented
827	#3106	C₂×C₂₉	1	1	yes	characteristic, complemented
828	#3102	C₂×C₂₉	1	1	yes	characteristic, complemented
829	#2968	C₂×C₂₉	1	1	yes	characteristic, complemented
830	#2951	C₂×C₂₉	1	1	yes	characteristic, complemented
831	#2946	C₂×C₂₉	1	1	yes	characteristic, complemented
832	#2943	C₂×C₂₉	1	1	yes	characteristic, complemented
833	C₂²×C₂₉	—	2	1	no	—
834	C₂²×C₂₉	—	2	1	no	—
835	C₂²×C₂₉	—	2	1	no	—
836	C₂²×C₂₉	—	2	1	no	—
837	C₂²×C₂₉	—	2	1	no	—
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	2	no	—
843	C₂²×C₂₉	—	4	1	no	—
844	C₂²×C₂₉	—	4	1	no	—
845	C₂²×C₂₉	—	4	1	no	—
846	C₂²×C₂₉	—	4	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	—	4	1	no	—
857	C₂²×C₂₉	—	16	2	no	—
858	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
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	1	no	—
869	C₄×C₂₉	—	2	1	no	—
870	C₄×C₂₉	—	2	2	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	C₂²×#41	1	1	yes	characteristic
882	C₄×C₂₉	#585	1	1	yes	characteristic
883	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
884	C₂×#135	C₂²×C₂₉	1	1	yes	characteristic
885	C₂×#135	C₂²×C₂₉	1	1	yes	characteristic
886	#557	C₂²×C₂₉	1	1	yes	characteristic, complemented
887	#556	C₂²×C₂₉	1	1	yes	characteristic
888	#556	C₂²×C₂₉	1	1	yes	characteristic
889	#554	C₂²×C₂₉	1	1	yes	characteristic
890	#553	—	2	1	no	—
891	#553	—	2	1	no	—
892	#553	—	2	1	no	—
893	#553	C₂²×C₂₉	1	1	yes	characteristic
894	#553	C₂²×C₂₉	1	1	yes	characteristic
895	#553	C₂²×C₂₉	1	1	yes	characteristic, complemented
896	#552	—	2	1	no	—
897	#552	C₂²×C₂₉	1	1	yes	characteristic
898	#551	—	2	1	no	—
899	#551	—	2	1	no	—
900	#550	—	2	1	no	—
901	#550	C₂²×C₂₉	1	1	yes	characteristic
902	#550	C₂²×C₂₉	1	1	yes	characteristic
903	#550	C₂²×C₂₉	1	1	yes	characteristic, complemented
904	#550	C₂²×C₂₉	1	1	yes	characteristic, complemented
905	#547	—	2	1	no	—
906	#547	C₂²×C₂₉	1	1	yes	characteristic
907	#547	C₂²×C₂₉	1	1	yes	characteristic
908	#546	C₂²×C₂₉	1	1	yes	characteristic
909	#546	C₂²×C₂₉	1	1	yes	characteristic
910	#542	C₂²×C₂₉	1	1	yes	characteristic
911	#541	C₂²×C₂₉	1	1	yes	characteristic
912	#540	—	2	1	no	—
913	#540	—	2	1	no	—
914	#540	C₂²×C₂₉	1	1	yes	characteristic
915	#540	C₂²×C₂₉	1	1	yes	characteristic, complemented
916	#539	—	2	1	no	—
917	#538	—	2	1	no	—
918	#532	—	2	1	no	—
919	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
920	#529	—	2	1	no	—
921	#529	—	2	1	no	—
922	#529	C₂²×C₂₉	1	1	yes	characteristic
923	#529	C₂²×C₂₉	1	1	yes	characteristic
924	C₂×#126	—	2	1	no	—
925	#520	C₂²×C₂₉	1	1	yes	characteristic
926	#520	C₂²×C₂₉	1	1	yes	characteristic
927	#520	C₂²×C₂₉	1	1	yes	characteristic, complemented
928	#518	C₂²×C₂₉	1	1	yes	characteristic
929	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
930	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic, complemented
931	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
932	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
933	#499	C₂²×C₂₉	1	1	yes	characteristic, complemented
934	#496	C₂²×C₂₉	1	1	yes	characteristic
935	#496	C₂²×C₂₉	1	1	yes	characteristic
936	#492	C₂²×C₂₉	1	1	yes	characteristic, complemented
937	#491	C₂²×C₂₉	1	1	yes	characteristic, complemented
938	#490	C₂²×C₂₉	1	1	yes	characteristic, complemented
939	#490	C₂²×C₂₉	1	1	yes	characteristic, complemented
940	#489	C₂²×C₂₉	1	1	yes	characteristic
941	#488	C₂²×C₂₉	1	1	yes	characteristic
942	#486	C₂²×C₂₉	1	1	yes	characteristic, complemented
943	#485	C₂²×C₂₉	1	1	yes	characteristic, complemented
944	#484	C₂²×C₂₉	1	1	yes	characteristic
945	#483	C₂²×C₂₉	1	1	yes	characteristic
946	#483	C₂²×C₂₉	1	1	yes	characteristic, complemented
947	#482	C₂²×C₂₉	1	1	yes	characteristic
948	#482	C₂²×C₂₉	1	1	yes	characteristic
949	#482	C₂²×C₂₉	1	1	yes	characteristic
950	#482	C₂²×C₂₉	1	1	yes	characteristic, complemented
951	#482	C₂²×C₂₉	1	1	yes	characteristic, complemented
952	#481	C₂²×C₂₉	1	1	yes	characteristic
953	#481	C₂²×C₂₉	1	1	yes	characteristic, complemented
954	#480	C₂²×C₂₉	1	1	yes	characteristic, complemented
955	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
956	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
957	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
958	#478	C₂²×C₂₉	1	1	yes	characteristic
959	#478	C₂²×C₂₉	1	1	yes	characteristic
960	#478	C₂²×C₂₉	1	1	yes	characteristic
961	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
962	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
963	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
964	#476	C₂²×C₂₉	1	1	yes	characteristic
965	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
966	#475	C₂²×C₂₉	1	1	yes	characteristic, complemented
967	#469	C₂²×C₂₉	1	1	yes	characteristic
968	#468	C₂²×C₂₉	1	1	yes	characteristic
969	#468	C₂²×C₂₉	1	1	yes	characteristic
970	#468	C₂²×C₂₉	1	1	yes	characteristic, complemented
971	#466	C₂²×C₂₉	1	1	yes	characteristic
972	#466	C₂²×C₂₉	1	1	yes	characteristic
973	#466	C₂²×C₂₉	1	1	yes	characteristic
974	#465	C₂²×C₂₉	1	1	yes	characteristic
975	#465	C₂²×C₂₉	1	1	yes	characteristic
976	#465	C₂²×C₂₉	1	1	yes	characteristic, complemented
977	#465	C₂²×C₂₉	1	1	yes	characteristic, complemented
978	#465	C₂²×C₂₉	1	1	yes	characteristic, complemented
979	#464	C₂²×C₂₉	1	1	yes	characteristic
980	#464	C₂²×C₂₉	1	1	yes	characteristic
981	#463	C₂²×C₂₉	1	1	yes	characteristic
982	#463	C₂²×C₂₉	1	1	yes	characteristic
983	#462	C₂²×C₂₉	1	1	yes	characteristic, complemented
984	#461	C₂²×C₂₉	1	1	yes	characteristic, complemented
985	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
986	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
987	#459	C₂²×C₂₉	1	1	yes	characteristic
988	#459	C₂²×C₂₉	1	1	yes	characteristic
989	#459	C₂²×C₂₉	1	1	yes	characteristic
990	#459	C₂²×C₂₉	1	1	yes	characteristic
991	#452	C₂²×C₂₉	1	1	yes	characteristic
992	#452	C₂²×C₂₉	1	1	yes	characteristic
993	#452	C₂²×C₂₉	1	1	yes	characteristic, complemented
994	#452	C₂²×C₂₉	1	1	yes	characteristic, complemented
995	#449	C₂²×C₂₉	1	1	yes	characteristic
996	#449	C₂²×C₂₉	1	1	yes	characteristic
997	#449	C₂²×C₂₉	1	1	yes	characteristic
998	#449	C₂²×C₂₉	1	1	yes	characteristic
999	#449	C₂²×C₂₉	1	1	yes	characteristic
1000	#449	C₂²×C₂₉	1	1	yes	characteristic
1001	#447	C₂²×C₂₉	1	1	yes	characteristic
1002	#447	C₂²×C₂₉	1	1	yes	characteristic
1003	#446	C₂²×C₂₉	1	1	yes	characteristic, complemented
1004	#446	C₂²×C₂₉	1	1	yes	characteristic, complemented
1005	#442	C₂²×C₂₉	1	1	yes	characteristic
1006	#442	C₂²×C₂₉	1	1	yes	characteristic
1007	#442	C₂²×C₂₉	1	1	yes	characteristic
1008	#442	C₂²×C₂₉	1	1	yes	characteristic
1009	#442	C₂²×C₂₉	1	1	yes	characteristic
1010	#441	C₂²×C₂₉	1	1	yes	characteristic, complemented
1011	#441	C₂²×C₂₉	1	1	yes	characteristic, complemented
1012	#440	C₂²×C₂₉	1	1	yes	characteristic
1013	#440	C₂²×C₂₉	1	1	yes	characteristic
1014	#440	C₂²×C₂₉	1	1	yes	characteristic
1015	#440	C₂²×C₂₉	1	1	yes	characteristic
1016	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1017	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1018	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1019	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1020	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1021	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1022	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1023	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1024	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1025	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1026	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1027	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1028	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1029	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1030	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1031	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1032	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1033	#435	C₂²×C₂₉	1	1	yes	characteristic
1034	#435	C₂²×C₂₉	1	1	yes	characteristic
1035	#435	C₂²×C₂₉	1	1	yes	characteristic
1036	#435	C₂²×C₂₉	1	1	yes	characteristic, complemented
1037	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic
1038	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic, complemented
1039	#433	C₂²×C₂₉	1	1	yes	characteristic
1040	#433	C₂²×C₂₉	1	1	yes	characteristic, complemented
1041	#431	C₂²×C₂₉	1	1	yes	characteristic, complemented
1042	#428	C₂²×C₂₉	1	1	yes	characteristic
1043	#427	C₂²×C₂₉	1	1	yes	characteristic, complemented
1044	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic, complemented
1045	#417	C₂²×C₂₉	1	1	yes	characteristic
1046	#417	C₂²×C₂₉	1	1	yes	characteristic, complemented
1047	#416	C₂²×C₂₉	1	1	yes	characteristic
1048	#416	C₂²×C₂₉	1	1	yes	characteristic
1049	#416	C₂²×C₂₉	1	1	yes	characteristic, complemented
1050	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
1051	#405	C₂²×C₂₉	1	1	yes	characteristic
1052	#405	C₂²×C₂₉	1	1	yes	characteristic, complemented
1053	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic, complemented
1054	C₂×C₂₉	—	4	1	no	—
1055	C₂×C₂₉	—	4	1	no	—
1056	C₂×C₂₉	—	4	1	no	—
1057	C₂×C₂₉	—	4	2	no	—
1058	C₂×C₂₉	—	8	1	no	—
1059	C₂×C₂₉	—	8	1	no	—
1060	C₂×C₂₉	—	8	1	no	—
1061	C₂×C₂₉	—	8	1	no	—
1062	C₂×C₂₉	D₄×#41	1	1	yes	characteristic
1063	C₂×C₂₉	#3584	1	1	yes	characteristic
1064	C₂×C₂₉	#3585	1	1	yes	characteristic
1065	C₂×#41	—	2	1	no	—
1066	C₂×#41	—	2	1	no	—
1067	C₂×#41	—	2	1	no	—
1068	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1069	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1070	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1071	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1072	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1073	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
1074	AGL(1,ℤ/8)	—	2	4	no	—
1075	#135	—	2	4	no	—
1076	#135	—	2	4	no	—
1077	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1078	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1079	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1081	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1082	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1083	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1085	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1087	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1088	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1089	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1090	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1091	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1092	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1093	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1094	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1095	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1096	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1097	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1098	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1099	C₄⋊Q₈	—	2	1	no	—
1100	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1101	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1102	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1103	#127	—	2	1	no	—
1104	#127	—	2	1	no	—
1105	#127	—	2	1	no	—
1106	#127	C₂³×C₂₉	1	1	yes	characteristic
1107	#127	C₂³×C₂₉	1	1	yes	characteristic
1108	#127	C₂³×C₂₉	1	1	yes	characteristic
1109	#126	—	2	1	no	—
1110	#126	—	2	1	no	—
1111	#126	—	2	1	no	—
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	D₄×C₂₉	1	1	yes	characteristic
1122	#126	D₄×C₂₉	1	1	yes	characteristic
1123	#125	—	2	1	no	—
1124	#125	—	2	1	no	—
1125	#125	—	2	1	no	—
1126	#125	—	2	1	no	—
1127	#125	—	2	1	no	—
1128	#125	D₄×C₂₉	1	1	yes	characteristic
1129	#125	C₂³×C₂₉	1	1	yes	characteristic
1130	#125	C₂³×C₂₉	1	1	yes	characteristic
1131	#125	C₂³×C₂₉	1	1	yes	characteristic
1132	#125	C₂³×C₂₉	1	1	yes	characteristic
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	D₄×C₂₉	1	1	yes	characteristic
1137	#124	C₂³×C₂₉	1	1	yes	characteristic
1138	#124	C₂³×C₂₉	1	1	yes	characteristic
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	D₄×C₂₉	1	1	yes	characteristic
1156	#123	D₄×C₂₉	1	1	yes	characteristic
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	D₄×C₂₉	1	1	yes	characteristic
1189	#121	C₂³×C₂₉	1	1	yes	characteristic
1190	#121	C₂³×C₂₉	1	1	yes	characteristic
1191	#121	C₂³×C₂₉	1	1	yes	characteristic
1192	#121	C₂³×C₂₉	1	1	yes	characteristic
1193	#121	C₂³×C₂₉	1	1	yes	characteristic
1194	#121	C₂³×C₂₉	1	1	yes	characteristic
1195	#121	C₂³×C₂₉	1	1	yes	characteristic
1196	#121	C₂³×C₂₉	1	1	yes	characteristic
1197	#120	—	2	1	no	—
1198	#120	—	2	1	no	—
1199	C₄×Q₈	—	2	1	no	—
1200	C₄×Q₈	—	2	1	no	—
1201	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1208	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1209	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	—	2	1	no	—
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	C₂³×C₂₉	1	1	yes	characteristic
1254	#117	C₂³×C₂₉	1	1	yes	characteristic
1255	#117	C₂³×C₂₉	1	1	yes	characteristic
1256	#117	C₂³×C₂₉	1	1	yes	characteristic
1257	#117	C₂³×C₂₉	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	—	2	1	no	—
1259	C₂×C₄⋊C₄	—	2	1	no	—
1260	C₂×C₄⋊C₄	—	2	1	no	—
1261	C₂×C₄⋊C₄	—	2	1	no	—
1262	C₂×C₄⋊C₄	—	2	1	no	—
1263	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1264	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1265	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1266	C₂×C₂²⋊C₄	—	2	1	no	—
1267	C₂×C₂²⋊C₄	—	2	1	no	—
1268	C₂×C₂²⋊C₄	—	2	1	no	—
1269	C₂×C₂²⋊C₄	—	2	1	no	—
1270	C₂×C₄²	—	2	1	no	—
1271	C₂×C₄²	—	2	1	no	—
1272	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1273	#107	C₂³×C₂₉	1	1	yes	characteristic
1274	#107	C₂³×C₂₉	1	1	yes	characteristic
1275	#107	C₂³×C₂₉	1	1	yes	characteristic
1276	#107	C₂³×C₂₉	1	1	yes	characteristic
1277	#107	C₂³×C₂₉	1	1	yes	characteristic
1278	#107	C₂³×C₂₉	1	1	yes	characteristic
1279	#107	C₂³×C₂₉	1	1	yes	characteristic
1280	#107	C₂³×C₂₉	1	1	yes	characteristic
1281	#106	C₂³×C₂₉	1	1	yes	characteristic
1282	#106	C₂³×C₂₉	1	1	yes	characteristic
1283	#106	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	C₄⋊C₈	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	#103	C₂³×C₂₉	1	1	yes	characteristic
1296	#103	C₂³×C₂₉	1	1	yes	characteristic
1297	#103	C₂³×C₂₉	1	1	yes	characteristic
1298	#103	C₂³×C₂₉	1	1	yes	characteristic
1299	#103	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	#102	C₂³×C₂₉	1	1	yes	characteristic
1308	#102	C₂³×C₂₉	1	1	yes	characteristic
1309	#102	C₂³×C₂₉	1	1	yes	characteristic
1310	#102	C₂³×C₂₉	1	1	yes	characteristic
1311	#102	C₂³×C₂₉	1	1	yes	characteristic
1312	#102	C₂³×C₂₉	1	1	yes	characteristic
1313	#102	C₂³×C₂₉	1	1	yes	characteristic
1314	#102	C₂³×C₂₉	1	1	yes	characteristic
1315	#102	C₂³×C₂₉	1	1	yes	characteristic
1316	#102	C₂³×C₂₉	1	1	yes	characteristic
1317	#102	C₂³×C₂₉	1	1	yes	characteristic
1318	#102	C₂³×C₂₉	1	1	yes	characteristic
1319	#102	C₂³×C₂₉	1	1	yes	characteristic
1320	#102	C₂³×C₂₉	1	1	yes	characteristic
1321	#102	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	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1333	#97	C₂³×C₂₉	1	1	yes	characteristic
1334	#97	C₂³×C₂₉	1	1	yes	characteristic
1335	#97	C₂³×C₂₉	1	1	yes	characteristic
1336	#97	C₂³×C₂₉	1	1	yes	characteristic
1337	#97	C₂³×C₂₉	1	1	yes	characteristic
1338	#97	C₂³×C₂₉	1	1	yes	characteristic
1339	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1340	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1341	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1342	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1343	C₂₉	#61531	1	1	yes	characteristic, direct product factor, Sylow
1344	C₂⁴	—	2	1	no	—
1345	#41	—	2	2	no	—
1346	#41	—	2	2	no	—
1347	#41	—	2	2	no	—
1348	#41	—	2	2	no	—
1349	#41	—	2	2	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	#41	—	8	2	no	—
1356	#41	—	8	2	no	—
1357	#41	—	8	2	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
1361	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1364	C₂×D₄	—	2	2	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1386	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1387	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1388	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1390	C₂×D₄	C₂⁴×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	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1415	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1416	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1419	Q₁₆	—	2	2	no	—
1420	Q₁₆	—	2	2	no	—
1421	SD₁₆	—	2	2	no	—
1422	SD₁₆	—	2	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	4	1	no	—
1425	SD₁₆	—	4	1	no	—
1426	SD₁₆	—	4	1	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	#41×C₂₉	1	4	yes	complemented
1429	D₈	—	2	2	no	—
1430	D₈	—	2	2	no	—
1431	D₈	—	2	2	no	—
1432	D₈	—	2	2	no	—
1433	D₈	—	4	1	no	—
1434	D₈	—	4	1	no	—
1435	M₁₆	—	2	2	no	—
1436	M₁₆	—	4	1	no	—
1437	C₂×C₈	—	2	2	no	—
1438	C₂×C₈	—	2	2	no	—
1439	C₂×C₈	—	4	1	no	—
1440	C₂×C₈	—	4	1	no	—
1441	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1442	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1443	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₂₉	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1489	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1490	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1491	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1492	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1493	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₂₉	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1547	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1548	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1549	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1550	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1552	C₂³	—	2	1	no	—
1553	C₂³	—	2	1	no	—
1554	C₂³	—	2	1	no	—
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	4	2	no	—
1558	C₂³	—	8	1	no	—
1559	C₂³	—	8	1	no	—
1560	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1561	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1562	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	4	1	no	—
1569	Q₈	—	4	2	no	—
1570	Q₈	—	8	1	no	—
1571	Q₈	C₂×#41×C₂₉	1	2	yes	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	4	1	no	—
1582	D₄	—	4	1	no	—
1583	D₄	—	4	1	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	4	2	no	—
1586	D₄	—	4	2	no	—
1587	D₄	—	4	2	no	—
1588	D₄	—	4	2	no	—
1589	D₄	—	4	2	no	—
1590	D₄	—	4	2	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	D₄	—	8	1	no	—
1599	D₄	—	8	1	no	—
1600	D₄	—	8	1	no	—
1601	D₄	—	8	1	no	—
1602	D₄	—	8	1	no	—
1603	D₄	—	8	1	no	—
1604	D₄	C₂×#41×C₂₉	1	2	yes	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	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	—	4	1	no	—
1623	C₂×C₄	—	4	1	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	4	2	no	—
1627	C₂×C₄	—	4	2	no	—
1628	C₂×C₄	—	4	2	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	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	C₂²×D₄×C₂₉	1	1	yes	characteristic
1645	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1646	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
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	C₂⁵×C₂₉	1	1	yes	characteristic
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	C₂×#41×C₂₉	1	2	yes	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	2	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	—	4	1	no	—
1675	C₂²	—	4	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	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	16	2	no	—
1689	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	2	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	2	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	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	C₂²×#41×C₂₉	1	1	yes	characteristic
1713	C₄	C₂₉×#585	1	1	yes	characteristic
1714	C₂	—	4	1	no	—
1715	C₂	—	4	1	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	2	no	—
1718	C₂	—	8	1	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	8	1	no	—
1722	C₂	D₄×#41×C₂₉	1	1	yes	characteristic
1723	C₂	C₂₉×#3584	1	1	yes	characteristic
1724	C₂	C₂₉×#3585	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×#3521	C₂	semidirect
2. C₂₉×#3517	C₂	semidirect
3. C₂₉×#3397	C₂	semidirect
4. C₂₉×#3388	C₂	semidirect
5. C₂₉×#3377	C₂	semidirect
6. C₂₉×#3366	C₂	semidirect
7. C₂₉×#3350	C₂	semidirect
8. C₂₉×#3343	C₂	semidirect
9. C₂₉×#3339	C₂	semidirect
10. C₂₉×#3317	C₂	semidirect
11. C₂₉×#3309	C₂	semidirect
12. C₂₉×#3307	C₂	semidirect
13. C₂₉×#3306	C₂	semidirect
14. C₂₉×#3304	C₂	semidirect
15. C₂₉×#3297	C₂	semidirect
16. C₂₉×#3284	C₂	semidirect
17. C₂₉×#3268	C₂	semidirect
18. C₂₉×#3268	C₂	semidirect
19. C₂₉×#3180	C₂	semidirect
20. C₂₉×#3179	C₂	semidirect
21. C₂₉×#3174	C₂	semidirect
22. C₂₉×#3125	C₂	semidirect
23. C₂₉×#3122	C₂	semidirect
24. C₂₉×#3120	C₂	semidirect
25. C₂₉×#3119	C₂	semidirect
26. C₂₉×#3106	C₂	semidirect
27. C₂₉×#3102	C₂	semidirect
28. C₂₉×#2968	C₂	semidirect
29. C₂₉×#2951	C₂	semidirect
30. C₂₉×#2946	C₂	semidirect
31. C₂₉×#2943	C₂	semidirect
35. C₂₉×#557	C₂²	semidirect
44. C₂₉×#553	C₂²	semidirect
52. C₂₉×#550	C₂²	semidirect
53. C₂₉×#550	C₂²	semidirect
64. C₂₉×#540	C₂²	semidirect
68. C₂₉×#532	C₂²	semidirect
76. C₂₉×#520	C₂²	semidirect
79. C₄×#41×C₂₉	C₂²	semidirect
80. C₂₉×#501	C₂²	semidirect
81. C₂₉×#501	C₂²	semidirect
82. C₂₉×#499	C₂²	semidirect
85. C₂₉×#492	C₂²	semidirect
86. C₂₉×#491	C₂²	semidirect
87. C₂₉×#490	C₂²	semidirect
88. C₂₉×#490	C₂²	semidirect
91. C₂₉×#486	C₂²	semidirect
92. C₂₉×#485	C₂²	semidirect
95. C₂₉×#483	C₂²	semidirect
99. C₂₉×#482	C₂²	semidirect
100. C₂₉×#482	C₂²	semidirect
102. C₂₉×#481	C₂²	semidirect
103. C₂₉×#480	C₂²	semidirect
104. C₂₉×#479	C₂²	semidirect
105. C₂₉×#479	C₂²	semidirect
106. C₂₉×#479	C₂²	semidirect
110. C₂₉×#478	C₂²	semidirect
111. C₂₉×#478	C₂²	semidirect
112. C₂₉×#477	C₂²	semidirect
114. C₂₉×#476	C₂²	semidirect
115. C₂₉×#475	C₂²	semidirect
119. C₂₉×#468	C₂²	semidirect
125. C₂₉×#465	C₂²	semidirect
126. C₂₉×#465	C₂²	semidirect
127. C₂₉×#465	C₂²	semidirect
132. C₂₉×#462	C₂²	semidirect
133. C₂₉×#461	C₂²	semidirect
134. C₂₉×#460	C₂²	semidirect
135. C₂₉×#460	C₂²	semidirect
142. C₂₉×#452	C₂²	semidirect
143. C₂₉×#452	C₂²	semidirect
152. C₂₉×#446	C₂²	semidirect
153. C₂₉×#446	C₂²	semidirect
159. C₂₉×#441	C₂²	semidirect
160. C₂₉×#441	C₂²	semidirect
165. C₂₉×#440	C₂²	semidirect
166. C₂₉×#440	C₂²	semidirect
167. C₂₉×#440	C₂²	semidirect
168. C₂₉×#440	C₂²	semidirect
169. C₂₉×#440	C₂²	semidirect
170. C₄×Q₁₆×C₂₉	C₂²	semidirect
171. C₄×Q₁₆×C₂₉	C₂²	semidirect
174. C₄×SD₁₆×C₂₉	C₂²	semidirect
175. C₄×SD₁₆×C₂₉	C₂²	semidirect
176. C₄×SD₁₆×C₂₉	C₂²	semidirect
185. C₂₉×#435	C₂²	semidirect
187. C₈×D₄×C₂₉	C₂²	semidirect
189. C₂₉×#433	C₂²	semidirect
190. C₂₉×#431	C₂²	semidirect
192. C₂₉×#427	C₂²	semidirect
193. C₂×C₂₉×#107	C₂²	semidirect
195. C₂₉×#417	C₂²	semidirect
198. C₂₉×#416	C₂²	semidirect
201. C₂₉×#405	C₂²	semidirect
202. C₂×C₂₉×#97	C₂²	semidirect
565. SD₁₆×C₂₉	#41	semidirect
689. #61531	C₂₉	direct (N × H)
802. #3521	C₂×C₂₉	semidirect
803. #3517	C₂×C₂₉	semidirect
804. #3397	C₂×C₂₉	semidirect
805. #3388	C₂×C₂₉	semidirect
806. #3377	C₂×C₂₉	semidirect
807. #3366	C₂×C₂₉	semidirect
808. #3350	C₂×C₂₉	semidirect
809. #3343	C₂×C₂₉	semidirect
810. #3339	C₂×C₂₉	semidirect
811. #3317	C₂×C₂₉	semidirect
812. #3309	C₂×C₂₉	semidirect
813. #3307	C₂×C₂₉	semidirect
814. #3306	C₂×C₂₉	semidirect
815. #3304	C₂×C₂₉	semidirect
816. #3297	C₂×C₂₉	semidirect
817. #3284	C₂×C₂₉	semidirect
818. #3268	C₂×C₂₉	semidirect
819. #3268	C₂×C₂₉	semidirect
820. #3180	C₂×C₂₉	semidirect
821. #3179	C₂×C₂₉	semidirect
822. #3174	C₂×C₂₉	semidirect
823. #3125	C₂×C₂₉	semidirect
824. #3122	C₂×C₂₉	semidirect
825. #3120	C₂×C₂₉	semidirect
826. #3119	C₂×C₂₉	semidirect
827. #3106	C₂×C₂₉	semidirect
828. #3102	C₂×C₂₉	semidirect
829. #2968	C₂×C₂₉	semidirect
830. #2951	C₂×C₂₉	semidirect
831. #2946	C₂×C₂₉	semidirect
832. #2943	C₂×C₂₉	semidirect
886. #557	C₂²×C₂₉	semidirect
895. #553	C₂²×C₂₉	semidirect
903. #550	C₂²×C₂₉	semidirect
904. #550	C₂²×C₂₉	semidirect
915. #540	C₂²×C₂₉	semidirect
919. #532	C₂²×C₂₉	semidirect
927. #520	C₂²×C₂₉	semidirect
930. C₄×#41	C₂²×C₂₉	semidirect
931. #501	C₂²×C₂₉	semidirect
932. #501	C₂²×C₂₉	semidirect
933. #499	C₂²×C₂₉	semidirect
936. #492	C₂²×C₂₉	semidirect
937. #491	C₂²×C₂₉	semidirect
938. #490	C₂²×C₂₉	semidirect
939. #490	C₂²×C₂₉	semidirect
942. #486	C₂²×C₂₉	semidirect
943. #485	C₂²×C₂₉	semidirect
946. #483	C₂²×C₂₉	semidirect
950. #482	C₂²×C₂₉	semidirect
951. #482	C₂²×C₂₉	semidirect
953. #481	C₂²×C₂₉	semidirect
954. #480	C₂²×C₂₉	semidirect
955. #479	C₂²×C₂₉	semidirect
956. #479	C₂²×C₂₉	semidirect
957. #479	C₂²×C₂₉	semidirect
961. #478	C₂²×C₂₉	semidirect
962. #478	C₂²×C₂₉	semidirect
963. #477	C₂²×C₂₉	semidirect
965. #476	C₂²×C₂₉	semidirect
966. #475	C₂²×C₂₉	semidirect
970. #468	C₂²×C₂₉	semidirect
976. #465	C₂²×C₂₉	semidirect
977. #465	C₂²×C₂₉	semidirect
978. #465	C₂²×C₂₉	semidirect
983. #462	C₂²×C₂₉	semidirect
984. #461	C₂²×C₂₉	semidirect
985. #460	C₂²×C₂₉	semidirect
986. #460	C₂²×C₂₉	semidirect
993. #452	C₂²×C₂₉	semidirect
994. #452	C₂²×C₂₉	semidirect
1003. #446	C₂²×C₂₉	semidirect
1004. #446	C₂²×C₂₉	semidirect
1010. #441	C₂²×C₂₉	semidirect
1011. #441	C₂²×C₂₉	semidirect
1016. #440	C₂²×C₂₉	semidirect
1017. #440	C₂²×C₂₉	semidirect
1018. #440	C₂²×C₂₉	semidirect
1019. #440	C₂²×C₂₉	semidirect
1020. #440	C₂²×C₂₉	semidirect
1021. C₄×Q₁₆	C₂²×C₂₉	semidirect
1022. C₄×Q₁₆	C₂²×C₂₉	semidirect
1025. C₄×SD₁₆	C₂²×C₂₉	semidirect
1026. C₄×SD₁₆	C₂²×C₂₉	semidirect
1027. C₄×SD₁₆	C₂²×C₂₉	semidirect
1036. #435	C₂²×C₂₉	semidirect
1038. C₈×D₄	C₂²×C₂₉	semidirect
1040. #433	C₂²×C₂₉	semidirect
1041. #431	C₂²×C₂₉	semidirect
1043. #427	C₂²×C₂₉	semidirect
1044. C₂×#107	C₂²×C₂₉	semidirect
1046. #417	C₂²×C₂₉	semidirect
1049. #416	C₂²×C₂₉	semidirect
1052. #405	C₂²×C₂₉	semidirect
1053. C₂×#97	C₂²×C₂₉	semidirect
1343. C₂₉	#61531	direct (N × H)
1428. SD₁₆	#41×C₂₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂₉×#3521	2
C₂₉×#3517	2
C₂₉×#3397	2
C₂₉×#3388	2
C₂₉×#3377	2
C₂₉×#3366	2
C₂₉×#3350	2
C₂₉×#3343	2
C₂₉×#3339	2
C₂₉×#3317	2
C₂₉×#3309	2
C₂₉×#3307	2
C₂₉×#3306	2
C₂₉×#3304	2
C₂₉×#3297	2
C₂₉×#3284	2
C₂₉×#3268	2
C₂₉×#3180	2
C₂₉×#3179	2
C₂₉×#3174	2
C₂₉×#3125	2
C₂₉×#3122	2
C₂₉×#3120	2
C₂₉×#3119	2
C₂₉×#3106	2
C₂₉×#3102	2
C₂₉×#2968	2
C₂₉×#2951	2
C₂₉×#2946	2
C₂₉×#2943	2
#61531	29

Subgroups — C29×#61531 #20356431

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61531 #20356431