Subgroups — C₂₉×#62831 #20357731

Order 7424.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3565	C₂	1	4	yes	maximal, complemented
2	C₂₉×#3564	C₂	1	4	yes	maximal, complemented
3	C₂₉×#3557	C₂	1	4	yes	maximal, complemented
4	C₂₉×#3555	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3554	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3552	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3544	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3535	C₂	1	4	yes	maximal, complemented
9	C₂₉×#3523	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3522	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3520	C₂	1	4	yes	maximal, complemented
12	C₂₉×#3518	C₂	1	2	yes	maximal, complemented
13	C₂₉×#3515	C₂	1	4	yes	maximal, complemented
14	C₂₉×#3515	C₂	1	2	yes	maximal, complemented
15	C₂₉×#3510	C₂	1	2	yes	maximal, complemented
16	C₂₉×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3507	C₂	1	4	yes	maximal, complemented
18	C₂₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3504	C₂	1	2	yes	maximal, complemented
20	C₂₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3495	C₂	1	2	yes	maximal, complemented
23	C₂₉×#3495	C₂	1	4	yes	maximal, complemented
24	C₂₉×#3494	C₂	1	2	yes	maximal, complemented
25	C₂₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₂₉×#533	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₂₉×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#563	C₂²	1	8	yes	complemented
29	C₂₉×#563	C₂²	1	8	yes	complemented
30	C₂₉×#563	C₂²	1	8	yes	complemented
31	C₂₉×#562	C₂²	1	8	yes	complemented
32	C₂₉×#559	C₂²	1	4	yes	complemented
33	C₂₉×#559	C₂²	1	4	yes	complemented
34	C₂₉×#559	C₂²	1	2	yes	complemented
35	C₂₉×#559	C₂²	1	4	yes	complemented
36	Q₈²×C₂₉	C₂²	1	2	yes	complemented
37	Q₈²×C₂₉	C₂²	1	2	yes	complemented
38	C₂₉×#557	C₂²	1	4	yes	complemented
39	C₂₉×#557	C₂²	1	2	yes	complemented
40	C₂₉×#557	C₂²	1	4	yes	complemented
41	C₂₉×#557	C₂²	1	2	yes	complemented
42	C₂₉×#557	C₂²	1	4	yes	complemented
43	C₂₉×#557	C₂²	1	4	yes	complemented
44	C₂₉×#557	C₂²	1	2	yes	complemented
45	C₂₉×#556	C₂²	1	8	yes	complemented
46	C₂₉×#556	C₂²	1	4	yes	complemented
47	C₂₉×#556	C₂²	1	2	yes	complemented
48	C₂₉×#556	C₂²	1	4	yes	complemented
49	C₂₉×#556	C₂²	1	4	yes	complemented
50	C₂₉×#556	C₂²	1	2	yes	complemented
51	C₂₉×#556	C₂²	1	8	yes	complemented
52	C₂₉×#556	C₂²	1	4	yes	complemented
53	C₂₉×#556	C₂²	1	4	yes	complemented
54	C₂₉×#555	C₂²	1	4	yes	—
55	C₂₉×#555	C₂²	1	2	yes	complemented
56	C₂₉×#554	C₂²	1	8	yes	—
57	C₂₉×#554	C₂²	1	8	yes	—
58	C₂₉×#554	C₂²	1	4	yes	complemented
59	C₂₉×#554	C₂²	1	4	yes	complemented
60	C₂₉×#554	C₂²	1	2	yes	complemented
61	C₂₉×#554	C₂²	1	4	yes	complemented
62	C₂₉×#554	C₂²	1	2	yes	complemented
63	C₂₉×#554	C₂²	1	4	yes	complemented
64	C₂₉×#554	C₂²	1	4	yes	complemented
65	C₂₉×#554	C₂²	1	2	yes	complemented
66	C₂₉×#553	C₂²	1	4	yes	—
67	C₂₉×#553	C₂²	1	4	yes	—
68	C₂₉×#553	C₂²	1	4	yes	complemented
69	C₂₉×#552	C₂²	1	8	yes	—
70	C₂₉×#552	C₂²	1	8	yes	complemented
71	C₂₉×#552	C₂²	1	4	yes	complemented
72	C₂₉×#552	C₂²	1	8	yes	complemented
73	C₂₉×#552	C₂²	1	8	yes	complemented
74	C₂₉×#552	C₂²	1	4	yes	complemented
75	C₂₉×#552	C₂²	1	8	yes	complemented
76	C₂₉×#552	C₂²	1	4	yes	complemented
77	C₂₉×#552	C₂²	1	4	yes	complemented
78	C₂₉×#552	C₂²	1	8	yes	complemented
79	C₂₉×#552	C₂²	1	4	yes	complemented
80	C₂₉×#551	C₂²	1	8	yes	—
81	C₂₉×#551	C₂²	1	8	yes	—
82	C₂₉×#551	C₂²	1	8	yes	—
83	C₂₉×#551	C₂²	1	8	yes	—
84	C₂₉×#550	C₂²	1	2	yes	complemented
85	D₄×Q₈×C₂₉	C₂²	1	2	yes	complemented
86	D₄×Q₈×C₂₉	C₂²	1	2	yes	complemented
87	D₄×Q₈×C₂₉	C₂²	1	4	yes	complemented
88	C₂₉×#548	C₂²	1	4	yes	complemented
89	C₂₉×#548	C₂²	1	4	yes	complemented
90	C₂₉×#547	C₂²	1	4	yes	—
91	C₂₉×#547	C₂²	1	2	yes	complemented
92	C₂₉×#547	C₂²	1	4	yes	complemented
93	C₂₉×#547	C₂²	1	8	yes	complemented
94	C₂₉×#547	C₂²	1	4	yes	complemented
95	C₂₉×#546	C₂²	1	8	yes	—
96	C₂₉×#544	C₂²	1	2	yes	—
97	C₂₉×#544	C₂²	1	2	yes	—
98	C₂₉×#544	C₂²	1	4	yes	—
99	C₂₉×#544	C₂²	1	4	yes	complemented
100	C₂₉×#544	C₂²	1	4	yes	complemented
101	C₂₉×#544	C₂²	1	4	yes	complemented
102	C₂₉×#543	C₂²	1	4	yes	—
103	C₂₉×#542	C₂²	1	4	yes	—
104	C₂₉×#542	C₂²	1	4	yes	complemented
105	C₂₉×#542	C₂²	1	4	yes	complemented
106	C₂₉×#542	C₂²	1	4	yes	complemented
107	C₂₉×#542	C₂²	1	4	yes	complemented
108	C₂₉×#542	C₂²	1	4	yes	complemented
109	C₂₉×#542	C₂²	1	8	yes	complemented
110	C₂₉×#542	C₂²	1	8	yes	complemented
111	C₂₉×#542	C₂²	1	8	yes	complemented
112	C₂₉×#541	C₂²	1	4	yes	complemented
113	C₂₉×#541	C₂²	1	4	yes	complemented
114	C₂₉×#541	C₂²	1	4	yes	complemented
115	C₂₉×#541	C₂²	1	8	yes	complemented
116	C₂₉×#541	C₂²	1	8	yes	complemented
117	C₂₉×#540	C₂²	1	4	yes	—
118	C₂₉×#539	C₂²	1	4	yes	—
119	C₂₉×#539	C₂²	1	8	yes	complemented
120	C₂₉×#539	C₂²	1	8	yes	complemented
121	C₂₉×#539	C₂²	1	8	yes	complemented
122	C₂₉×#539	C₂²	1	8	yes	complemented
123	C₂₉×#539	C₂²	1	8	yes	complemented
124	C₂₉×#538	C₂²	1	4	yes	—
125	C₂₉×#536	C₂²	1	2	yes	—
126	C₂₉×#536	C₂²	1	4	yes	complemented
127	C₂₉×#536	C₂²	1	8	yes	complemented
128	C₂₉×#535	C₂²	1	2	yes	—
129	C₂₉×#533	C₂²	1	2	yes	—
130	C₂₉×#533	C₂²	1	1	yes	characteristic
131	C₂₉×#533	C₂²	1	1	yes	characteristic
132	C₂₉×#533	C₂²	1	2	yes	—
133	C₂₉×#533	C₂²	1	2	yes	—
134	C₂₉×#533	C₂²	1	1	yes	characteristic
135	C₂₉×#533	C₂²	1	4	yes	—
136	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
137	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
138	C₂₉×#533	C₂²	1	2	yes	complemented
139	C₂₉×#533	C₂²	1	2	yes	complemented
140	C₂₉×#533	C₂²	1	2	yes	complemented
141	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
142	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
143	C₂₉×#533	C₂²	1	4	yes	complemented
144	C₂₉×#533	C₂²	1	4	yes	complemented
145	C₂₉×#532	C₂²	1	1	yes	characteristic
146	C₂₉×#532	C₂²	1	4	yes	—
147	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
148	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₂₉×#529	C₂²	1	2	yes	—
152	C₂₉×#529	C₂²	1	2	yes	—
153	C₂₉×#529	C₂²	1	2	yes	—
154	C₂₉×#529	C₂²	1	2	yes	—
155	C₂₉×#529	C₂²	1	2	yes	—
156	C₂₉×#529	C₂²	1	2	yes	—
157	C₂₉×#529	C₂²	1	2	yes	—
158	C₂₉×#529	C₂²	1	2	yes	—
159	C₂₉×#529	C₂²	1	2	yes	—
160	C₂₉×#529	C₂²	1	2	yes	—
161	C₂₉×#529	C₂²	1	4	yes	—
162	C₂₉×#529	C₂²	1	4	yes	—
163	C₂₉×#529	C₂²	1	2	yes	complemented
164	C₂₉×#529	C₂²	1	2	yes	complemented
165	C₂₉×#529	C₂²	1	2	yes	complemented
166	C₂₉×#529	C₂²	1	2	yes	complemented
167	C₂₉×#529	C₂²	1	4	yes	complemented
168	C₂₉×#529	C₂²	1	4	yes	complemented
169	C₂₉×#529	C₂²	1	4	yes	complemented
170	C₂×C₂₉×#126	C₂²	1	2	yes	—
171	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
172	C₂×C₂₉×#125	C₂²	1	2	yes	complemented
173	C₂×C₂₉×#125	C₂²	1	4	yes	complemented
174	C₂×C₂₉×#124	C₂²	1	1	yes	characteristic
175	C₂₉×#525	C₂²	1	2	yes	—
176	C₂₉×#525	C₂²	1	2	yes	—
177	C₂₉×#525	C₂²	1	2	yes	—
178	C₂₉×#525	C₂²	1	4	yes	—
179	C₂×C₂₉×#123	C₂²	1	2	yes	—
180	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
181	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	2	yes	—
182	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	2	yes	—
183	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	4	yes	—
184	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic
185	C₂₉×#520	C₂²	1	2	yes	—
186	C₂₉×#520	C₂²	1	2	yes	—
187	C₂₉×#520	C₂²	1	4	yes	complemented
188	C₂₉×#520	C₂²	1	8	yes	complemented
189	C₂₉×#519	C₂²	1	2	yes	—
190	C₂₉×#519	C₂²	1	4	yes	complemented
191	C₂₉×#518	C₂²	1	2	yes	—
192	C₄×#41×C₂₉	C₂²	1	2	yes	—
193	C₄×#41×C₂₉	C₂²	1	2	yes	complemented
194	C₄×#41×C₂₉	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
196	C₂×C₄×Q₈×C₂₉	C₂²	1	2	yes	complemented
197	C₂×C₄×Q₈×C₂₉	C₂²	1	2	yes	complemented
198	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
199	C₂×C₄×D₄×C₂₉	C₂²	1	2	yes	—
200	C₂×C₂₉×#117	C₂²	1	2	yes	—
201	C₂×C₂₉×#117	C₂²	1	2	yes	—
202	C₂²×C₄²×C₂₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₂₉	C₂³	1	2	yes	—
204	C₂×#41×C₂₉	C₂³	1	2	yes	—
205	C₂×#41×C₂₉	C₂³	1	2	yes	—
206	C₂×#41×C₂₉	C₂³	1	4	yes	—
207	C₂×#41×C₂₉	C₂³	1	8	yes	—
208	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
210	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
211	C₂²×Q₈×C₂₉	C₂³	1	4	yes	—
212	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
214	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₂₉	C₂³	1	2	yes	—
218	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
219	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
220	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
221	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
222	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
227	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
230	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
233	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
235	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
236	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
237	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
238	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
239	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
240	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
241	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
242	C₂₉×#127	C₂³	1	1	yes	characteristic
243	C₂₉×#127	C₂³	1	4	yes	—
244	C₂₉×#126	C₂³	1	4	yes	—
245	C₂₉×#126	C₂³	1	4	yes	—
246	C₂₉×#126	C₂³	1	4	yes	—
247	C₂₉×#126	C₂³	1	4	yes	—
248	C₂₉×#126	C₂³	1	4	yes	—
249	C₂₉×#126	C₂³	1	4	yes	—
250	C₂₉×#126	C₂³	1	8	yes	—
251	C₂₉×#126	C₂³	1	8	yes	—
252	C₂₉×#126	C₂³	1	8	yes	—
253	C₂₉×#126	C₂³	1	8	yes	—
254	C₂₉×#126	C₂³	1	8	yes	—
255	C₂₉×#126	C₂³	1	8	yes	—
256	C₂₉×#126	C₂³	1	8	yes	—
257	C₂₉×#126	C₂³	1	8	yes	—
258	C₂₉×#126	C₂³	1	8	yes	—
259	C₂₉×#126	C₂³	1	8	yes	—
260	C₂₉×#126	C₂³	1	8	yes	—
261	C₂₉×#126	C₂³	1	8	yes	—
262	C₂₉×#126	C₂³	1	8	yes	—
263	C₂₉×#125	C₂³	1	2	yes	—
264	C₂₉×#125	C₂³	1	2	yes	—
265	C₂₉×#125	C₂³	1	2	yes	—
266	C₂₉×#125	C₂³	1	2	yes	—
267	C₂₉×#125	C₂³	1	2	yes	—
268	C₂₉×#125	C₂³	1	2	yes	—
269	C₂₉×#125	C₂³	1	4	yes	—
270	C₂₉×#125	C₂³	1	4	yes	—
271	C₂₉×#125	C₂³	1	2	yes	—
272	C₂₉×#125	C₂³	1	2	yes	—
273	C₂₉×#125	C₂³	1	8	yes	—
274	C₂₉×#125	C₂³	1	8	yes	—
275	C₂₉×#125	C₂³	1	4	yes	—
276	C₂₉×#125	C₂³	1	4	yes	—
277	C₂₉×#125	C₂³	1	2	yes	—
278	C₂₉×#125	C₂³	1	2	yes	—
279	C₂₉×#125	C₂³	1	4	yes	—
280	C₂₉×#125	C₂³	1	4	yes	—
281	C₂₉×#125	C₂³	1	2	yes	—
282	C₂₉×#125	C₂³	1	4	yes	—
283	C₂₉×#125	C₂³	1	8	yes	—
284	C₂₉×#125	C₂³	1	8	yes	—
285	C₂₉×#125	C₂³	1	8	yes	—
286	C₂₉×#125	C₂³	1	8	yes	—
287	C₂₉×#125	C₂³	1	8	yes	—
288	C₂₉×#125	C₂³	1	8	yes	—
289	C₂₉×#125	C₂³	1	8	yes	—
290	C₂₉×#125	C₂³	1	8	yes	—
291	C₂₉×#125	C₂³	1	8	yes	—
292	C₂₉×#124	C₂³	1	2	yes	—
293	C₂₉×#124	C₂³	1	2	yes	—
294	C₂₉×#124	C₂³	1	2	yes	—
295	C₂₉×#124	C₂³	1	2	yes	—
296	C₂₉×#124	C₂³	1	2	yes	—
297	C₂₉×#124	C₂³	1	2	yes	—
298	C₂₉×#124	C₂³	1	4	yes	—
299	C₂₉×#124	C₂³	1	4	yes	—
300	C₂₉×#124	C₂³	1	2	yes	—
301	C₂₉×#124	C₂³	1	4	yes	—
302	C₂₉×#124	C₂³	1	8	yes	—
303	C₂₉×#124	C₂³	1	8	yes	—
304	C₂₉×#124	C₂³	1	8	yes	—
305	C₂₉×#124	C₂³	1	8	yes	—
306	C₂₉×#124	C₂³	1	8	yes	—
307	C₂₉×#124	C₂³	1	8	yes	—
308	C₂₉×#123	C₂³	1	4	yes	—
309	C₂₉×#123	C₂³	1	4	yes	—
310	C₂₉×#123	C₂³	1	4	yes	—
311	C₂₉×#123	C₂³	1	4	yes	—
312	C₂₉×#123	C₂³	1	4	yes	—
313	C₂₉×#123	C₂³	1	4	yes	—
314	C₂₉×#123	C₂³	1	4	yes	—
315	C₂₉×#123	C₂³	1	8	yes	—
316	C₂₉×#123	C₂³	1	8	yes	—
317	C₂₉×#123	C₂³	1	8	yes	—
318	C₂₉×#123	C₂³	1	8	yes	—
319	C₂₉×#123	C₂³	1	8	yes	—
320	C₂₉×#123	C₂³	1	8	yes	—
321	C₂₉×#123	C₂³	1	8	yes	—
322	C₂₉×#123	C₂³	1	8	yes	—
323	C₂₉×#123	C₂³	1	8	yes	—
324	C₂₉×#123	C₂³	1	8	yes	—
325	C₂₉×#123	C₂³	1	8	yes	—
326	C₂₉×#123	C₂³	1	8	yes	—
327	C₂₉×#123	C₂³	1	8	yes	—
328	C₂₉×#123	C₂³	1	8	yes	—
329	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
330	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
333	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
342	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
343	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
351	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
358	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
359	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
364	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
365	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
367	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
368	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
369	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
372	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
373	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
375	C₂₉×#121	C₂³	1	2	yes	—
376	C₂₉×#121	C₂³	1	2	yes	—
377	C₂₉×#121	C₂³	1	2	yes	—
378	C₂₉×#121	C₂³	1	2	yes	—
379	C₂₉×#121	C₂³	1	2	yes	—
380	C₂₉×#121	C₂³	1	2	yes	—
381	C₂₉×#121	C₂³	1	2	yes	—
382	C₂₉×#121	C₂³	1	2	yes	—
383	C₂₉×#121	C₂³	1	2	yes	—
384	C₂₉×#121	C₂³	1	2	yes	—
385	C₂₉×#121	C₂³	1	4	yes	—
386	C₂₉×#121	C₂³	1	4	yes	—
387	C₂₉×#121	C₂³	1	4	yes	—
388	C₂₉×#121	C₂³	1	8	yes	—
389	C₂₉×#121	C₂³	1	8	yes	—
390	C₂₉×#121	C₂³	1	8	yes	—
391	C₂₉×#121	C₂³	1	8	yes	—
392	C₂₉×#120	C₂³	1	4	yes	—
393	C₂₉×#120	C₂³	1	8	yes	—
394	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
395	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
396	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
397	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
398	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
399	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
400	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
401	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
402	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
403	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
404	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
405	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
406	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
407	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
408	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
409	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
410	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
411	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
412	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
413	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
414	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
415	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
416	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
417	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
418	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
419	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
420	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
421	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
422	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
423	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
424	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
425	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
426	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
427	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
428	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
429	C₄×D₄×C₂₉	C₂³	1	4	yes	—
430	C₄×D₄×C₂₉	C₂³	1	4	yes	—
431	C₄×D₄×C₂₉	C₂³	1	4	yes	—
432	C₄×D₄×C₂₉	C₂³	1	4	yes	—
433	C₄×D₄×C₂₉	C₂³	1	2	yes	—
434	C₄×D₄×C₂₉	C₂³	1	2	yes	—
435	C₄×D₄×C₂₉	C₂³	1	2	yes	—
436	C₄×D₄×C₂₉	C₂³	1	2	yes	—
437	C₄×D₄×C₂₉	C₂³	1	4	yes	—
438	C₄×D₄×C₂₉	C₂³	1	4	yes	—
439	C₄×D₄×C₂₉	C₂³	1	2	yes	—
440	C₄×D₄×C₂₉	C₂³	1	2	yes	—
441	C₄×D₄×C₂₉	C₂³	1	4	yes	—
442	C₄×D₄×C₂₉	C₂³	1	2	yes	—
443	C₄×D₄×C₂₉	C₂³	1	4	yes	—
444	C₄×D₄×C₂₉	C₂³	1	4	yes	—
445	C₄×D₄×C₂₉	C₂³	1	4	yes	—
446	C₄×D₄×C₂₉	C₂³	1	2	yes	—
447	C₄×D₄×C₂₉	C₂³	1	2	yes	—
448	C₄×D₄×C₂₉	C₂³	1	2	yes	—
449	C₄×D₄×C₂₉	C₂³	1	4	yes	—
450	C₄×D₄×C₂₉	C₂³	1	4	yes	—
451	C₄×D₄×C₂₉	C₂³	1	4	yes	—
452	C₄×D₄×C₂₉	C₂³	1	4	yes	—
453	C₄×D₄×C₂₉	C₂³	1	8	yes	—
454	C₄×D₄×C₂₉	C₂³	1	8	yes	—
455	C₄×D₄×C₂₉	C₂³	1	4	yes	—
456	C₄×D₄×C₂₉	C₂³	1	4	yes	—
457	C₄×D₄×C₂₉	C₂³	1	8	yes	—
458	C₄×D₄×C₂₉	C₂³	1	8	yes	—
459	C₄×D₄×C₂₉	C₂³	1	4	yes	—
460	C₄×D₄×C₂₉	C₂³	1	8	yes	—
461	C₄×D₄×C₂₉	C₂³	1	8	yes	—
462	C₄×D₄×C₂₉	C₂³	1	8	yes	—
463	C₄×D₄×C₂₉	C₂³	1	8	yes	—
464	C₂₉×#117	C₂³	1	2	yes	—
465	C₂₉×#117	C₂³	1	2	yes	—
466	C₂₉×#117	C₂³	1	4	yes	—
467	C₂₉×#117	C₂³	1	4	yes	—
468	C₂₉×#117	C₂³	1	4	yes	—
469	C₂₉×#117	C₂³	1	4	yes	—
470	C₂₉×#117	C₂³	1	4	yes	—
471	C₂₉×#117	C₂³	1	4	yes	—
472	C₂₉×#117	C₂³	1	2	yes	—
473	C₂₉×#117	C₂³	1	2	yes	—
474	C₂₉×#117	C₂³	1	2	yes	—
475	C₂₉×#117	C₂³	1	4	yes	—
476	C₂₉×#117	C₂³	1	2	yes	—
477	C₂₉×#117	C₂³	1	2	yes	—
478	C₂₉×#117	C₂³	1	4	yes	—
479	C₂₉×#117	C₂³	1	4	yes	—
480	C₂₉×#117	C₂³	1	8	yes	—
481	C₂₉×#117	C₂³	1	4	yes	—
482	C₂₉×#117	C₂³	1	8	yes	—
483	C₂₉×#117	C₂³	1	8	yes	—
484	C₂₉×#117	C₂³	1	4	yes	—
485	C₂₉×#117	C₂³	1	4	yes	—
486	C₂₉×#117	C₂³	1	8	yes	—
487	C₂₉×#117	C₂³	1	8	yes	—
488	C₂₉×#117	C₂³	1	8	yes	—
489	C₂₉×#117	C₂³	1	8	yes	—
490	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
491	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
492	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
493	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
494	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
495	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
496	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
497	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
498	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
500	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
503	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
504	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
505	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
507	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
508	C₂×C₂²⋊C₄×C₂₉	C₂³	1	2	yes	—
509	C₂×C₂²⋊C₄×C₂₉	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄×C₂₉	C₂³	1	2	yes	—
511	C₂×C₂²⋊C₄×C₂₉	C₂³	1	2	yes	—
512	C₂×C₂²⋊C₄×C₂₉	C₂³	1	2	yes	—
513	C₂×C₂²⋊C₄×C₂₉	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₂₉	C₂³	1	8	yes	—
515	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
516	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
517	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
518	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
528	C₂×C₄²×C₂₉	C₂³	1	4	yes	—
529	C₂×C₄²×C₂₉	C₂³	1	4	yes	—
530	C₂⁴×C₂₉	C₂⁴	1	1	yes	characteristic
531	C₂⁴×C₂₉	C₂⁴	1	2	yes	—
532	#41×C₂₉	—	2	8	no	—
533	#41×C₂₉	—	4	4	no	—
534	#41×C₂₉	—	4	16	no	—
535	#41×C₂₉	—	4	8	no	—
536	#41×C₂₉	—	4	4	no	—
537	C₂×Q₈×C₂₉	—	2	4	no	—
538	C₂×Q₈×C₂₉	—	4	4	no	—
539	C₂×Q₈×C₂₉	—	4	4	no	—
540	C₂×Q₈×C₂₉	—	4	8	no	—
541	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
542	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
543	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
544	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₂₉	C₂⁴	1	8	yes	—
549	C₂×Q₈×C₂₉	C₂⁴	1	4	yes	—
550	C₂×Q₈×C₂₉	C₂⁴	1	4	yes	—
551	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
552	C₂×Q₈×C₂₉	C₂⁴	1	8	yes	—
553	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
554	C₂×D₄×C₂₉	—	2	4	no	—
555	C₂×D₄×C₂₉	—	4	4	no	—
556	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
557	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
558	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
559	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
560	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
561	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
562	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
563	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
564	C₂×D₄×C₂₉	C₂⁴	1	8	yes	—
565	C₂×D₄×C₂₉	C₂⁴	1	8	yes	—
566	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
567	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
568	C₂²×C₄×C₂₉	—	2	4	no	—
569	C₂²×C₄×C₂₉	—	4	2	no	—
570	C₂²×C₄×C₂₉	—	4	4	no	—
571	C₂²×C₄×C₂₉	—	4	2	no	—
572	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
583	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
584	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
585	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
594	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
595	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
596	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
597	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
598	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
599	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
600	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
601	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
602	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
603	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
605	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
606	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
607	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
608	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
609	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
610	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
611	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
612	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
613	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
614	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
615	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
616	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
617	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
618	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
619	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
620	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
621	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
622	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
623	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
625	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
626	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
627	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
628	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
629	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
630	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
631	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
632	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
633	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
634	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
635	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
636	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
637	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
639	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
640	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
641	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
643	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
645	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
646	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
648	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
649	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
650	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
651	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
656	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
657	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
658	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
659	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
660	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
665	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
668	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
670	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
671	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
673	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
674	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
676	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
677	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
680	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
681	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
682	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
683	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
684	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
685	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
688	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
690	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
691	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
692	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
693	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
694	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
695	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
696	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
697	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
698	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
699	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
700	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
701	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
702	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
703	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
704	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
705	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
706	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
707	C₄²×C₂₉	C₂⁴	1	4	yes	—
708	C₄²×C₂₉	C₂⁴	1	4	yes	—
709	C₄²×C₂₉	C₂⁴	1	4	yes	—
710	C₄²×C₂₉	C₂⁴	1	4	yes	—
711	C₄²×C₂₉	C₂⁴	1	4	yes	—
712	C₄²×C₂₉	C₂⁴	1	4	yes	—
713	C₄²×C₂₉	C₂⁴	1	4	yes	—
714	C₄²×C₂₉	C₂⁴	1	4	yes	—
715	C₄²×C₂₉	C₂⁴	1	4	yes	—
716	C₄²×C₂₉	C₂⁴	1	8	yes	—
717	C₄²×C₂₉	C₂⁴	1	8	yes	—
718	C₄²×C₂₉	C₂⁴	1	8	yes	—
719	C₄²×C₂₉	C₂⁴	1	8	yes	—
720	#62831	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
721	C₂³×C₂₉	—	2	2	no	—
722	C₂³×C₂₉	—	2	2	no	—
723	C₂³×C₂₉	—	2	4	no	—
724	C₂³×C₂₉	—	4	1	no	—
725	C₂³×C₂₉	—	4	2	no	—
726	C₂³×C₂₉	—	4	2	no	—
727	C₂³×C₂₉	C₂⁵	1	1	yes	characteristic
728	C₂³×C₂₉	C₂⁵	1	4	yes	—
729	C₂³×C₂₉	C₂⁵	1	4	yes	—
730	C₂³×C₂₉	C₂⁵	1	1	yes	characteristic
731	C₂³×C₂₉	C₂⁵	1	1	yes	characteristic
732	Q₈×C₂₉	—	2	4	no	—
733	Q₈×C₂₉	—	2	4	no	—
734	Q₈×C₂₉	—	2	4	no	—
735	Q₈×C₂₉	—	2	4	no	—
736	Q₈×C₂₉	—	2	4	no	—
737	Q₈×C₂₉	—	2	4	no	—
738	Q₈×C₂₉	—	4	2	no	—
739	Q₈×C₂₉	—	4	4	no	—
740	Q₈×C₂₉	—	4	8	no	—
741	Q₈×C₂₉	—	4	2	no	—
742	Q₈×C₂₉	—	4	4	no	—
743	Q₈×C₂₉	—	4	2	no	—
744	Q₈×C₂₉	—	4	8	no	—
745	D₄×C₂₉	—	2	8	no	—
746	D₄×C₂₉	—	2	8	no	—
747	D₄×C₂₉	—	2	8	no	—
748	D₄×C₂₉	—	2	4	no	—
749	D₄×C₂₉	—	2	4	no	—
750	D₄×C₂₉	—	2	4	no	—
751	D₄×C₂₉	—	2	4	no	—
752	D₄×C₂₉	—	4	4	no	—
753	D₄×C₂₉	—	4	2	no	—
754	D₄×C₂₉	—	4	8	no	—
755	D₄×C₂₉	—	4	8	no	—
756	D₄×C₂₉	—	4	4	no	—
757	C₂×C₄×C₂₉	—	2	2	no	—
758	C₂×C₄×C₂₉	—	2	4	no	—
759	C₂×C₄×C₂₉	—	2	2	no	—
760	C₂×C₄×C₂₉	—	2	2	no	—
761	C₂×C₄×C₂₉	—	2	8	no	—
762	C₂×C₄×C₂₉	—	2	2	no	—
763	C₂×C₄×C₂₉	—	2	2	no	—
764	C₂×C₄×C₂₉	—	2	2	no	—
765	C₂×C₄×C₂₉	—	2	2	no	—
766	C₂×C₄×C₂₉	—	2	8	no	—
767	C₂×C₄×C₂₉	—	2	2	no	—
768	C₂×C₄×C₂₉	—	2	2	no	—
769	C₂×C₄×C₂₉	—	2	8	no	—
770	C₂×C₄×C₂₉	—	2	2	no	—
771	C₂×C₄×C₂₉	—	4	1	no	—
772	C₂×C₄×C₂₉	—	4	4	no	—
773	C₂×C₄×C₂₉	—	4	1	no	—
774	C₂×C₄×C₂₉	—	4	1	no	—
775	C₂×C₄×C₂₉	—	4	1	no	—
776	C₂×C₄×C₂₉	—	4	1	no	—
777	C₂×C₄×C₂₉	—	4	2	no	—
778	C₂×C₄×C₂₉	—	4	1	no	—
779	C₂×C₄×C₂₉	—	4	1	no	—
780	C₂×C₄×C₂₉	—	4	2	no	—
781	C₂×C₄×C₂₉	—	4	4	no	—
782	C₂×C₄×C₂₉	—	4	8	no	—
783	C₂×C₄×C₂₉	—	4	4	no	—
784	C₂×C₄×C₂₉	—	4	4	no	—
785	C₂×C₄×C₂₉	—	4	8	no	—
786	C₂×C₄×C₂₉	—	4	8	no	—
787	C₂×C₄×C₂₉	—	4	8	no	—
788	C₂×C₄×C₂₉	2₋¹⁺⁴	1	4	yes	—
789	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
790	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
791	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
792	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
793	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
794	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
795	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
796	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
797	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
800	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
801	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
802	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
803	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
804	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
805	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
806	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
807	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
808	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
809	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
810	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
811	#3565	C₂×C₂₉	1	4	yes	complemented
812	#3564	C₂×C₂₉	1	4	yes	complemented
813	#3557	C₂×C₂₉	1	4	yes	complemented
814	#3555	C₂×C₂₉	1	2	yes	complemented
815	#3554	C₂×C₂₉	1	2	yes	complemented
816	#3552	C₂×C₂₉	1	2	yes	complemented
817	#3544	C₂×C₂₉	1	2	yes	complemented
818	#3535	C₂×C₂₉	1	4	yes	complemented
819	#3523	C₂×C₂₉	1	2	yes	complemented
820	#3522	C₂×C₂₉	1	2	yes	complemented
821	#3520	C₂×C₂₉	1	4	yes	complemented
822	#3518	C₂×C₂₉	1	2	yes	complemented
823	#3515	C₂×C₂₉	1	4	yes	complemented
824	#3515	C₂×C₂₉	1	2	yes	complemented
825	#3510	C₂×C₂₉	1	2	yes	complemented
826	#3507	C₂×C₂₉	1	1	yes	characteristic, complemented
827	#3507	C₂×C₂₉	1	4	yes	complemented
828	#3506	C₂×C₂₉	1	1	yes	characteristic, complemented
829	#3504	C₂×C₂₉	1	2	yes	complemented
830	#3502	C₂×C₂₉	1	1	yes	characteristic, complemented
831	#3501	C₂×C₂₉	1	1	yes	characteristic, complemented
832	#3495	C₂×C₂₉	1	2	yes	complemented
833	#3495	C₂×C₂₉	1	4	yes	complemented
834	#3494	C₂×C₂₉	1	2	yes	complemented
835	#3444	C₂×C₂₉	1	1	yes	characteristic, complemented
836	C₂×#533	C₂×C₂₉	1	1	yes	characteristic, complemented
837	C₂×#529	C₂×C₂₉	1	1	yes	characteristic, complemented
838	C₂²×C₂₉	—	2	1	no	—
839	C₂²×C₂₉	—	2	1	no	—
840	C₂²×C₂₉	—	2	1	no	—
841	C₂²×C₂₉	—	2	1	no	—
842	C₂²×C₂₉	—	2	1	no	—
843	C₂²×C₂₉	—	2	4	no	—
844	C₂²×C₂₉	—	2	4	no	—
845	C₂²×C₂₉	—	2	4	no	—
846	C₂²×C₂₉	—	2	1	no	—
847	C₂²×C₂₉	—	2	4	no	—
848	C₂²×C₂₉	—	2	4	no	—
849	C₂²×C₂₉	—	2	4	no	—
850	C₂²×C₂₉	—	2	1	no	—
851	C₂²×C₂₉	—	4	4	no	—
852	C₂²×C₂₉	—	8	4	no	—
853	C₂²×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
854	C₂²×C₂₉	#585	1	2	yes	—
855	C₂²×C₂₉	C₂⁶	1	1	yes	characteristic
856	C₄×C₂₉	—	2	1	no	—
857	C₄×C₂₉	—	2	1	no	—
858	C₄×C₂₉	—	2	4	no	—
859	C₄×C₂₉	—	2	4	no	—
860	C₄×C₂₉	—	2	1	no	—
861	C₄×C₂₉	—	2	1	no	—
862	C₄×C₂₉	—	2	1	no	—
863	C₄×C₂₉	—	2	4	no	—
864	C₄×C₂₉	—	2	4	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	4	no	—
870	C₄×C₂₉	—	2	4	no	—
871	C₄×C₂₉	—	2	4	no	—
872	C₄×C₂₉	—	2	4	no	—
873	C₄×C₂₉	—	2	4	no	—
874	C₄×C₂₉	—	2	4	no	—
875	C₄×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
876	C₄×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
877	C₄×C₂₉	#585	1	2	yes	—
878	#563	C₂²×C₂₉	1	8	yes	complemented
879	#563	C₂²×C₂₉	1	8	yes	complemented
880	#563	C₂²×C₂₉	1	8	yes	complemented
881	#562	C₂²×C₂₉	1	8	yes	complemented
882	#559	C₂²×C₂₉	1	4	yes	complemented
883	#559	C₂²×C₂₉	1	4	yes	complemented
884	#559	C₂²×C₂₉	1	2	yes	complemented
885	#559	C₂²×C₂₉	1	4	yes	complemented
886	Q₈²	C₂²×C₂₉	1	2	yes	complemented
887	Q₈²	C₂²×C₂₉	1	2	yes	complemented
888	#557	C₂²×C₂₉	1	4	yes	complemented
889	#557	C₂²×C₂₉	1	2	yes	complemented
890	#557	C₂²×C₂₉	1	4	yes	complemented
891	#557	C₂²×C₂₉	1	2	yes	complemented
892	#557	C₂²×C₂₉	1	4	yes	complemented
893	#557	C₂²×C₂₉	1	4	yes	complemented
894	#557	C₂²×C₂₉	1	2	yes	complemented
895	#556	C₂²×C₂₉	1	8	yes	complemented
896	#556	C₂²×C₂₉	1	4	yes	complemented
897	#556	C₂²×C₂₉	1	2	yes	complemented
898	#556	C₂²×C₂₉	1	4	yes	complemented
899	#556	C₂²×C₂₉	1	4	yes	complemented
900	#556	C₂²×C₂₉	1	2	yes	complemented
901	#556	C₂²×C₂₉	1	8	yes	complemented
902	#556	C₂²×C₂₉	1	4	yes	complemented
903	#556	C₂²×C₂₉	1	4	yes	complemented
904	#555	C₂²×C₂₉	1	4	yes	—
905	#555	C₂²×C₂₉	1	2	yes	complemented
906	#554	C₂²×C₂₉	1	8	yes	—
907	#554	C₂²×C₂₉	1	8	yes	—
908	#554	C₂²×C₂₉	1	4	yes	complemented
909	#554	C₂²×C₂₉	1	4	yes	complemented
910	#554	C₂²×C₂₉	1	2	yes	complemented
911	#554	C₂²×C₂₉	1	4	yes	complemented
912	#554	C₂²×C₂₉	1	2	yes	complemented
913	#554	C₂²×C₂₉	1	4	yes	complemented
914	#554	C₂²×C₂₉	1	4	yes	complemented
915	#554	C₂²×C₂₉	1	2	yes	complemented
916	#553	C₂²×C₂₉	1	4	yes	—
917	#553	C₂²×C₂₉	1	4	yes	—
918	#553	C₂²×C₂₉	1	4	yes	complemented
919	#552	C₂²×C₂₉	1	8	yes	—
920	#552	C₂²×C₂₉	1	8	yes	complemented
921	#552	C₂²×C₂₉	1	4	yes	complemented
922	#552	C₂²×C₂₉	1	8	yes	complemented
923	#552	C₂²×C₂₉	1	8	yes	complemented
924	#552	C₂²×C₂₉	1	4	yes	complemented
925	#552	C₂²×C₂₉	1	8	yes	complemented
926	#552	C₂²×C₂₉	1	4	yes	complemented
927	#552	C₂²×C₂₉	1	4	yes	complemented
928	#552	C₂²×C₂₉	1	8	yes	complemented
929	#552	C₂²×C₂₉	1	4	yes	complemented
930	#551	C₂²×C₂₉	1	8	yes	—
931	#551	C₂²×C₂₉	1	8	yes	—
932	#551	C₂²×C₂₉	1	8	yes	—
933	#551	C₂²×C₂₉	1	8	yes	—
934	#550	C₂²×C₂₉	1	2	yes	complemented
935	D₄×Q₈	C₂²×C₂₉	1	2	yes	complemented
936	D₄×Q₈	C₂²×C₂₉	1	2	yes	complemented
937	D₄×Q₈	C₂²×C₂₉	1	4	yes	complemented
938	#548	C₂²×C₂₉	1	4	yes	complemented
939	#548	C₂²×C₂₉	1	4	yes	complemented
940	#547	C₂²×C₂₉	1	4	yes	—
941	#547	C₂²×C₂₉	1	2	yes	complemented
942	#547	C₂²×C₂₉	1	4	yes	complemented
943	#547	C₂²×C₂₉	1	8	yes	complemented
944	#547	C₂²×C₂₉	1	4	yes	complemented
945	#546	C₂²×C₂₉	1	8	yes	—
946	#544	C₂²×C₂₉	1	2	yes	—
947	#544	C₂²×C₂₉	1	2	yes	—
948	#544	C₂²×C₂₉	1	4	yes	—
949	#544	C₂²×C₂₉	1	4	yes	complemented
950	#544	C₂²×C₂₉	1	4	yes	complemented
951	#544	C₂²×C₂₉	1	4	yes	complemented
952	#543	C₂²×C₂₉	1	4	yes	—
953	#542	C₂²×C₂₉	1	4	yes	—
954	#542	C₂²×C₂₉	1	4	yes	complemented
955	#542	C₂²×C₂₉	1	4	yes	complemented
956	#542	C₂²×C₂₉	1	4	yes	complemented
957	#542	C₂²×C₂₉	1	4	yes	complemented
958	#542	C₂²×C₂₉	1	4	yes	complemented
959	#542	C₂²×C₂₉	1	8	yes	complemented
960	#542	C₂²×C₂₉	1	8	yes	complemented
961	#542	C₂²×C₂₉	1	8	yes	complemented
962	#541	C₂²×C₂₉	1	4	yes	complemented
963	#541	C₂²×C₂₉	1	4	yes	complemented
964	#541	C₂²×C₂₉	1	4	yes	complemented
965	#541	C₂²×C₂₉	1	8	yes	complemented
966	#541	C₂²×C₂₉	1	8	yes	complemented
967	#540	C₂²×C₂₉	1	4	yes	—
968	#539	C₂²×C₂₉	1	4	yes	—
969	#539	C₂²×C₂₉	1	8	yes	complemented
970	#539	C₂²×C₂₉	1	8	yes	complemented
971	#539	C₂²×C₂₉	1	8	yes	complemented
972	#539	C₂²×C₂₉	1	8	yes	complemented
973	#539	C₂²×C₂₉	1	8	yes	complemented
974	#538	C₂²×C₂₉	1	4	yes	—
975	#536	C₂²×C₂₉	1	2	yes	—
976	#536	C₂²×C₂₉	1	4	yes	complemented
977	#536	C₂²×C₂₉	1	8	yes	complemented
978	#535	C₂²×C₂₉	1	2	yes	—
979	#533	C₂²×C₂₉	1	2	yes	—
980	#533	C₂²×C₂₉	1	1	yes	characteristic
981	#533	C₂²×C₂₉	1	1	yes	characteristic
982	#533	C₂²×C₂₉	1	2	yes	—
983	#533	C₂²×C₂₉	1	2	yes	—
984	#533	C₂²×C₂₉	1	1	yes	characteristic
985	#533	C₂²×C₂₉	1	4	yes	—
986	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
987	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
988	#533	C₂²×C₂₉	1	2	yes	complemented
989	#533	C₂²×C₂₉	1	2	yes	complemented
990	#533	C₂²×C₂₉	1	2	yes	complemented
991	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
992	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
993	#533	C₂²×C₂₉	1	4	yes	complemented
994	#533	C₂²×C₂₉	1	4	yes	complemented
995	#532	C₂²×C₂₉	1	1	yes	characteristic
996	#532	C₂²×C₂₉	1	4	yes	—
997	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
998	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
999	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
1000	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
1001	#529	C₂²×C₂₉	1	2	yes	—
1002	#529	C₂²×C₂₉	1	2	yes	—
1003	#529	C₂²×C₂₉	1	2	yes	—
1004	#529	C₂²×C₂₉	1	2	yes	—
1005	#529	C₂²×C₂₉	1	2	yes	—
1006	#529	C₂²×C₂₉	1	2	yes	—
1007	#529	C₂²×C₂₉	1	2	yes	—
1008	#529	C₂²×C₂₉	1	2	yes	—
1009	#529	C₂²×C₂₉	1	2	yes	—
1010	#529	C₂²×C₂₉	1	2	yes	—
1011	#529	C₂²×C₂₉	1	4	yes	—
1012	#529	C₂²×C₂₉	1	4	yes	—
1013	#529	C₂²×C₂₉	1	2	yes	complemented
1014	#529	C₂²×C₂₉	1	2	yes	complemented
1015	#529	C₂²×C₂₉	1	2	yes	complemented
1016	#529	C₂²×C₂₉	1	2	yes	complemented
1017	#529	C₂²×C₂₉	1	4	yes	complemented
1018	#529	C₂²×C₂₉	1	4	yes	complemented
1019	#529	C₂²×C₂₉	1	4	yes	complemented
1020	C₂×#126	C₂²×C₂₉	1	2	yes	—
1021	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
1022	C₂×#125	C₂²×C₂₉	1	2	yes	complemented
1023	C₂×#125	C₂²×C₂₉	1	4	yes	complemented
1024	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic
1025	#525	C₂²×C₂₉	1	2	yes	—
1026	#525	C₂²×C₂₉	1	2	yes	—
1027	#525	C₂²×C₂₉	1	2	yes	—
1028	#525	C₂²×C₂₉	1	4	yes	—
1029	C₂×#123	C₂²×C₂₉	1	2	yes	—
1030	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
1031	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	2	yes	—
1032	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	2	yes	—
1033	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	4	yes	—
1034	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic
1035	#520	C₂²×C₂₉	1	2	yes	—
1036	#520	C₂²×C₂₉	1	2	yes	—
1037	#520	C₂²×C₂₉	1	4	yes	complemented
1038	#520	C₂²×C₂₉	1	8	yes	complemented
1039	#519	C₂²×C₂₉	1	2	yes	—
1040	#519	C₂²×C₂₉	1	4	yes	complemented
1041	#518	C₂²×C₂₉	1	2	yes	—
1042	C₄×#41	C₂²×C₂₉	1	2	yes	—
1043	C₄×#41	C₂²×C₂₉	1	2	yes	complemented
1044	C₄×#41	C₂²×C₂₉	1	2	yes	complemented
1045	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
1046	C₂×C₄×Q₈	C₂²×C₂₉	1	2	yes	complemented
1047	C₂×C₄×Q₈	C₂²×C₂₉	1	2	yes	complemented
1048	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
1049	C₂×C₄×D₄	C₂²×C₂₉	1	2	yes	—
1050	C₂×#117	C₂²×C₂₉	1	2	yes	—
1051	C₂×#117	C₂²×C₂₉	1	2	yes	—
1052	C₂²×C₄²	C₂²×C₂₉	1	1	yes	characteristic
1053	C₂×C₂₉	—	2	2	no	—
1054	C₂×C₂₉	—	2	2	no	—
1055	C₂×C₂₉	—	4	4	no	—
1056	C₂×C₂₉	—	4	1	no	—
1057	C₂×C₂₉	—	4	4	no	—
1058	C₂×C₂₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1059	C₂×C₂₉	C₂×#585	1	1	yes	characteristic
1060	C₂×C₂₉	C₂×#585	1	1	yes	characteristic
1061	C₂×#41	C₂³×C₂₉	1	2	yes	—
1062	C₂×#41	C₂³×C₂₉	1	2	yes	—
1063	C₂×#41	C₂³×C₂₉	1	2	yes	—
1064	C₂×#41	C₂³×C₂₉	1	4	yes	—
1065	C₂×#41	C₂³×C₂₉	1	8	yes	—
1066	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1067	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
1068	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
1069	C₂²×Q₈	C₂³×C₂₉	1	4	yes	—
1070	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
1071	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
1072	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
1073	C₂³×C₄	C₂³×C₂₉	1	2	yes	—
1074	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
1075	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1077	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1078	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1079	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1080	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1085	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
1086	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1088	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1089	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1090	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1091	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1092	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1093	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1094	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1095	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
1096	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
1097	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
1098	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
1099	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
1100	#127	C₂³×C₂₉	1	1	yes	characteristic
1101	#127	C₂³×C₂₉	1	4	yes	—
1102	#126	C₂³×C₂₉	1	4	yes	—
1103	#126	C₂³×C₂₉	1	4	yes	—
1104	#126	C₂³×C₂₉	1	4	yes	—
1105	#126	C₂³×C₂₉	1	4	yes	—
1106	#126	C₂³×C₂₉	1	4	yes	—
1107	#126	C₂³×C₂₉	1	4	yes	—
1108	#126	C₂³×C₂₉	1	8	yes	—
1109	#126	C₂³×C₂₉	1	8	yes	—
1110	#126	C₂³×C₂₉	1	8	yes	—
1111	#126	C₂³×C₂₉	1	8	yes	—
1112	#126	C₂³×C₂₉	1	8	yes	—
1113	#126	C₂³×C₂₉	1	8	yes	—
1114	#126	C₂³×C₂₉	1	8	yes	—
1115	#126	C₂³×C₂₉	1	8	yes	—
1116	#126	C₂³×C₂₉	1	8	yes	—
1117	#126	C₂³×C₂₉	1	8	yes	—
1118	#126	C₂³×C₂₉	1	8	yes	—
1119	#126	C₂³×C₂₉	1	8	yes	—
1120	#126	C₂³×C₂₉	1	8	yes	—
1121	#125	C₂³×C₂₉	1	2	yes	—
1122	#125	C₂³×C₂₉	1	2	yes	—
1123	#125	C₂³×C₂₉	1	2	yes	—
1124	#125	C₂³×C₂₉	1	2	yes	—
1125	#125	C₂³×C₂₉	1	2	yes	—
1126	#125	C₂³×C₂₉	1	2	yes	—
1127	#125	C₂³×C₂₉	1	4	yes	—
1128	#125	C₂³×C₂₉	1	4	yes	—
1129	#125	C₂³×C₂₉	1	2	yes	—
1130	#125	C₂³×C₂₉	1	2	yes	—
1131	#125	C₂³×C₂₉	1	8	yes	—
1132	#125	C₂³×C₂₉	1	8	yes	—
1133	#125	C₂³×C₂₉	1	4	yes	—
1134	#125	C₂³×C₂₉	1	4	yes	—
1135	#125	C₂³×C₂₉	1	2	yes	—
1136	#125	C₂³×C₂₉	1	2	yes	—
1137	#125	C₂³×C₂₉	1	4	yes	—
1138	#125	C₂³×C₂₉	1	4	yes	—
1139	#125	C₂³×C₂₉	1	2	yes	—
1140	#125	C₂³×C₂₉	1	4	yes	—
1141	#125	C₂³×C₂₉	1	8	yes	—
1142	#125	C₂³×C₂₉	1	8	yes	—
1143	#125	C₂³×C₂₉	1	8	yes	—
1144	#125	C₂³×C₂₉	1	8	yes	—
1145	#125	C₂³×C₂₉	1	8	yes	—
1146	#125	C₂³×C₂₉	1	8	yes	—
1147	#125	C₂³×C₂₉	1	8	yes	—
1148	#125	C₂³×C₂₉	1	8	yes	—
1149	#125	C₂³×C₂₉	1	8	yes	—
1150	#124	C₂³×C₂₉	1	2	yes	—
1151	#124	C₂³×C₂₉	1	2	yes	—
1152	#124	C₂³×C₂₉	1	2	yes	—
1153	#124	C₂³×C₂₉	1	2	yes	—
1154	#124	C₂³×C₂₉	1	2	yes	—
1155	#124	C₂³×C₂₉	1	2	yes	—
1156	#124	C₂³×C₂₉	1	4	yes	—
1157	#124	C₂³×C₂₉	1	4	yes	—
1158	#124	C₂³×C₂₉	1	2	yes	—
1159	#124	C₂³×C₂₉	1	4	yes	—
1160	#124	C₂³×C₂₉	1	8	yes	—
1161	#124	C₂³×C₂₉	1	8	yes	—
1162	#124	C₂³×C₂₉	1	8	yes	—
1163	#124	C₂³×C₂₉	1	8	yes	—
1164	#124	C₂³×C₂₉	1	8	yes	—
1165	#124	C₂³×C₂₉	1	8	yes	—
1166	#123	C₂³×C₂₉	1	4	yes	—
1167	#123	C₂³×C₂₉	1	4	yes	—
1168	#123	C₂³×C₂₉	1	4	yes	—
1169	#123	C₂³×C₂₉	1	4	yes	—
1170	#123	C₂³×C₂₉	1	4	yes	—
1171	#123	C₂³×C₂₉	1	4	yes	—
1172	#123	C₂³×C₂₉	1	4	yes	—
1173	#123	C₂³×C₂₉	1	8	yes	—
1174	#123	C₂³×C₂₉	1	8	yes	—
1175	#123	C₂³×C₂₉	1	8	yes	—
1176	#123	C₂³×C₂₉	1	8	yes	—
1177	#123	C₂³×C₂₉	1	8	yes	—
1178	#123	C₂³×C₂₉	1	8	yes	—
1179	#123	C₂³×C₂₉	1	8	yes	—
1180	#123	C₂³×C₂₉	1	8	yes	—
1181	#123	C₂³×C₂₉	1	8	yes	—
1182	#123	C₂³×C₂₉	1	8	yes	—
1183	#123	C₂³×C₂₉	1	8	yes	—
1184	#123	C₂³×C₂₉	1	8	yes	—
1185	#123	C₂³×C₂₉	1	8	yes	—
1186	#123	C₂³×C₂₉	1	8	yes	—
1187	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1188	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1189	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1190	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1191	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1192	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1193	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1194	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1195	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1196	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1197	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1198	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1199	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1200	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1201	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1202	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1203	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1204	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1205	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1206	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1207	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1208	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1209	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1210	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1211	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1212	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
1213	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1214	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1215	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1217	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1218	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1221	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1222	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1223	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1224	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1225	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1226	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1227	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1228	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1229	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1231	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1232	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
1233	#121	C₂³×C₂₉	1	2	yes	—
1234	#121	C₂³×C₂₉	1	2	yes	—
1235	#121	C₂³×C₂₉	1	2	yes	—
1236	#121	C₂³×C₂₉	1	2	yes	—
1237	#121	C₂³×C₂₉	1	2	yes	—
1238	#121	C₂³×C₂₉	1	2	yes	—
1239	#121	C₂³×C₂₉	1	2	yes	—
1240	#121	C₂³×C₂₉	1	2	yes	—
1241	#121	C₂³×C₂₉	1	2	yes	—
1242	#121	C₂³×C₂₉	1	2	yes	—
1243	#121	C₂³×C₂₉	1	4	yes	—
1244	#121	C₂³×C₂₉	1	4	yes	—
1245	#121	C₂³×C₂₉	1	4	yes	—
1246	#121	C₂³×C₂₉	1	8	yes	—
1247	#121	C₂³×C₂₉	1	8	yes	—
1248	#121	C₂³×C₂₉	1	8	yes	—
1249	#121	C₂³×C₂₉	1	8	yes	—
1250	#120	C₂³×C₂₉	1	4	yes	—
1251	#120	C₂³×C₂₉	1	8	yes	—
1252	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1253	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1254	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1255	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1256	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1257	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1258	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1259	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1260	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1261	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1262	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1263	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1264	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1265	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1266	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1267	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1268	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1269	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1270	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1271	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1272	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1273	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
1274	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1275	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1276	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1277	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1278	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1279	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1280	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
1281	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
1282	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1283	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1284	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
1285	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
1286	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
1287	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1288	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1289	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1290	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1291	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1292	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1293	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1294	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1295	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1296	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1297	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1298	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1299	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1300	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1301	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1302	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1303	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1304	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1305	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1306	C₄×D₄	C₂³×C₂₉	1	2	yes	—
1307	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1308	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1309	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1310	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1311	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1312	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1313	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1314	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1315	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1316	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1317	C₄×D₄	C₂³×C₂₉	1	4	yes	—
1318	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1319	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1320	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1321	C₄×D₄	C₂³×C₂₉	1	8	yes	—
1322	#117	C₂³×C₂₉	1	2	yes	—
1323	#117	C₂³×C₂₉	1	2	yes	—
1324	#117	C₂³×C₂₉	1	4	yes	—
1325	#117	C₂³×C₂₉	1	4	yes	—
1326	#117	C₂³×C₂₉	1	4	yes	—
1327	#117	C₂³×C₂₉	1	4	yes	—
1328	#117	C₂³×C₂₉	1	4	yes	—
1329	#117	C₂³×C₂₉	1	4	yes	—
1330	#117	C₂³×C₂₉	1	2	yes	—
1331	#117	C₂³×C₂₉	1	2	yes	—
1332	#117	C₂³×C₂₉	1	2	yes	—
1333	#117	C₂³×C₂₉	1	4	yes	—
1334	#117	C₂³×C₂₉	1	2	yes	—
1335	#117	C₂³×C₂₉	1	2	yes	—
1336	#117	C₂³×C₂₉	1	4	yes	—
1337	#117	C₂³×C₂₉	1	4	yes	—
1338	#117	C₂³×C₂₉	1	8	yes	—
1339	#117	C₂³×C₂₉	1	4	yes	—
1340	#117	C₂³×C₂₉	1	8	yes	—
1341	#117	C₂³×C₂₉	1	8	yes	—
1342	#117	C₂³×C₂₉	1	4	yes	—
1343	#117	C₂³×C₂₉	1	4	yes	—
1344	#117	C₂³×C₂₉	1	8	yes	—
1345	#117	C₂³×C₂₉	1	8	yes	—
1346	#117	C₂³×C₂₉	1	8	yes	—
1347	#117	C₂³×C₂₉	1	8	yes	—
1348	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1349	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1350	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1351	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1352	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1353	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1354	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1355	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1356	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
1357	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
1358	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1359	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
1360	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
1361	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
1362	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
1363	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
1364	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
1365	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
1366	C₂×C₂²⋊C₄	C₂³×C₂₉	1	2	yes	—
1367	C₂×C₂²⋊C₄	C₂³×C₂₉	1	4	yes	—
1368	C₂×C₂²⋊C₄	C₂³×C₂₉	1	2	yes	—
1369	C₂×C₂²⋊C₄	C₂³×C₂₉	1	2	yes	—
1370	C₂×C₂²⋊C₄	C₂³×C₂₉	1	2	yes	—
1371	C₂×C₂²⋊C₄	C₂³×C₂₉	1	2	yes	—
1372	C₂×C₂²⋊C₄	C₂³×C₂₉	1	8	yes	—
1373	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1374	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
1375	C₂×C₄²	C₂³×C₂₉	1	4	yes	—
1376	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1377	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1378	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1379	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1380	C₂×C₄²	C₂³×C₂₉	1	4	yes	—
1381	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1382	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1383	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1384	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1385	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1386	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1387	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1388	C₂₉	#62831	1	1	yes	characteristic, direct product factor, Sylow
1389	C₂⁴	C₂⁴×C₂₉	1	1	yes	characteristic
1390	C₂⁴	C₂⁴×C₂₉	1	2	yes	—
1391	#41	—	2	8	no	—
1392	#41	—	4	4	no	—
1393	#41	—	4	16	no	—
1394	#41	—	4	8	no	—
1395	#41	—	4	4	no	—
1396	C₂×Q₈	—	2	4	no	—
1397	C₂×Q₈	—	4	4	no	—
1398	C₂×Q₈	—	4	4	no	—
1399	C₂×Q₈	—	4	8	no	—
1400	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1401	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1402	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1403	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1404	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1405	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1406	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1407	C₂×Q₈	C₂⁴×C₂₉	1	8	yes	—
1408	C₂×Q₈	C₂⁴×C₂₉	1	4	yes	—
1409	C₂×Q₈	C₂⁴×C₂₉	1	4	yes	—
1410	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1411	C₂×Q₈	C₂⁴×C₂₉	1	8	yes	—
1412	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1413	C₂×D₄	—	2	4	no	—
1414	C₂×D₄	—	4	4	no	—
1415	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
1416	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1417	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1418	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1419	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
1420	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
1421	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1422	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
1423	C₂×D₄	C₂⁴×C₂₉	1	8	yes	—
1424	C₂×D₄	C₂⁴×C₂₉	1	8	yes	—
1425	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
1426	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1427	C₂²×C₄	—	2	4	no	—
1428	C₂²×C₄	—	4	2	no	—
1429	C₂²×C₄	—	4	4	no	—
1430	C₂²×C₄	—	4	2	no	—
1431	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1435	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
1442	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1443	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1444	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1445	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1446	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1447	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1453	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
1454	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1455	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1456	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
1457	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
1458	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
1459	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
1460	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
1461	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
1462	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1464	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1465	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1466	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1467	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1468	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1469	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1470	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1471	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1472	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1473	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1474	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1476	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1477	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1478	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1479	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1480	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1481	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1483	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1484	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1485	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1486	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1487	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1488	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1490	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1491	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1492	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1493	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1494	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1495	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1496	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1497	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1498	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1499	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1500	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1501	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1502	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1503	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1504	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1505	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1506	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1507	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1508	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1509	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1510	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1511	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1514	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1515	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1516	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1517	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1518	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1519	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1520	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1521	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1522	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1523	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1524	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1525	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1526	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1527	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1528	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1529	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1530	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1531	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1532	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1533	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1534	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1535	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1538	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1539	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1540	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1541	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1542	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1543	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1544	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1546	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1547	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
1548	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1549	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
1550	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1559	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1564	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1565	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1566	C₄²	C₂⁴×C₂₉	1	4	yes	—
1567	C₄²	C₂⁴×C₂₉	1	4	yes	—
1568	C₄²	C₂⁴×C₂₉	1	4	yes	—
1569	C₄²	C₂⁴×C₂₉	1	4	yes	—
1570	C₄²	C₂⁴×C₂₉	1	4	yes	—
1571	C₄²	C₂⁴×C₂₉	1	4	yes	—
1572	C₄²	C₂⁴×C₂₉	1	4	yes	—
1573	C₄²	C₂⁴×C₂₉	1	4	yes	—
1574	C₄²	C₂⁴×C₂₉	1	4	yes	—
1575	C₄²	C₂⁴×C₂₉	1	8	yes	—
1576	C₄²	C₂⁴×C₂₉	1	8	yes	—
1577	C₄²	C₂⁴×C₂₉	1	8	yes	—
1578	C₄²	C₂⁴×C₂₉	1	8	yes	—
1579	C₂³	—	2	2	no	—
1580	C₂³	—	2	2	no	—
1581	C₂³	—	2	4	no	—
1582	C₂³	—	4	1	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	—	4	2	no	—
1585	C₂³	C₂⁵×C₂₉	1	1	yes	characteristic
1586	C₂³	C₂⁵×C₂₉	1	4	yes	—
1587	C₂³	C₂⁵×C₂₉	1	4	yes	—
1588	C₂³	C₂⁵×C₂₉	1	1	yes	characteristic
1589	C₂³	C₂⁵×C₂₉	1	1	yes	characteristic
1590	Q₈	—	2	4	no	—
1591	Q₈	—	2	4	no	—
1592	Q₈	—	2	4	no	—
1593	Q₈	—	2	4	no	—
1594	Q₈	—	2	4	no	—
1595	Q₈	—	2	4	no	—
1596	Q₈	—	4	2	no	—
1597	Q₈	—	4	4	no	—
1598	Q₈	—	4	8	no	—
1599	Q₈	—	4	2	no	—
1600	Q₈	—	4	4	no	—
1601	Q₈	—	4	2	no	—
1602	Q₈	—	4	8	no	—
1603	D₄	—	2	8	no	—
1604	D₄	—	2	8	no	—
1605	D₄	—	2	8	no	—
1606	D₄	—	2	4	no	—
1607	D₄	—	2	4	no	—
1608	D₄	—	2	4	no	—
1609	D₄	—	2	4	no	—
1610	D₄	—	4	4	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	4	8	no	—
1613	D₄	—	4	8	no	—
1614	D₄	—	4	4	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	4	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	8	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	8	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	8	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	4	1	no	—
1630	C₂×C₄	—	4	4	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	1	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	4	no	—
1640	C₂×C₄	—	4	8	no	—
1641	C₂×C₄	—	4	4	no	—
1642	C₂×C₄	—	4	4	no	—
1643	C₂×C₄	—	4	8	no	—
1644	C₂×C₄	—	4	8	no	—
1645	C₂×C₄	—	4	8	no	—
1646	C₂×C₄	C₂₉×2₋¹⁺⁴	1	4	yes	—
1647	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1648	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1649	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1650	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1651	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1652	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1653	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1654	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1655	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1656	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1658	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1659	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1660	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1661	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1662	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1665	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
1666	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1667	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1668	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	4	no	—
1675	C₂²	—	2	4	no	—
1676	C₂²	—	2	4	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	4	no	—
1679	C₂²	—	2	4	no	—
1680	C₂²	—	2	4	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	4	4	no	—
1683	C₂²	—	8	4	no	—
1684	C₂²	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
1685	C₂²	C₂₉×#585	1	2	yes	—
1686	C₂²	C₂⁶×C₂₉	1	1	yes	characteristic
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	4	no	—
1690	C₄	—	2	4	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	4	no	—
1695	C₄	—	2	4	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	4	no	—
1701	C₄	—	2	4	no	—
1702	C₄	—	2	4	no	—
1703	C₄	—	2	4	no	—
1704	C₄	—	2	4	no	—
1705	C₄	—	2	4	no	—
1706	C₄	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
1707	C₄	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
1708	C₄	C₂₉×#585	1	2	yes	—
1709	C₂	—	2	2	no	—
1710	C₂	—	2	2	no	—
1711	C₂	—	4	1	no	—
1712	C₂	—	4	4	no	—
1713	C₂	—	4	4	no	—
1714	C₂	C₂²×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
1715	C₂	C₂×C₂₉×#585	1	1	yes	characteristic
1716	C₂	C₂×C₂₉×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₂₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3565	C₂	semidirect
2. C₂₉×#3564	C₂	semidirect
3. C₂₉×#3557	C₂	semidirect
4. C₂₉×#3555	C₂	semidirect
5. C₂₉×#3554	C₂	semidirect
6. C₂₉×#3552	C₂	semidirect
7. C₂₉×#3544	C₂	semidirect
8. C₂₉×#3535	C₂	semidirect
9. C₂₉×#3523	C₂	semidirect
10. C₂₉×#3522	C₂	semidirect
11. C₂₉×#3520	C₂	semidirect
12. C₂₉×#3518	C₂	semidirect
13. C₂₉×#3515	C₂	semidirect
14. C₂₉×#3515	C₂	semidirect
15. C₂₉×#3510	C₂	semidirect
16. C₂₉×#3507	C₂	semidirect
17. C₂₉×#3507	C₂	semidirect
18. C₂₉×#3506	C₂	semidirect
19. C₂₉×#3504	C₂	semidirect
20. C₂₉×#3502	C₂	semidirect
21. C₂₉×#3501	C₂	semidirect
22. C₂₉×#3495	C₂	semidirect
23. C₂₉×#3495	C₂	semidirect
24. C₂₉×#3494	C₂	semidirect
25. C₂₉×#3444	C₂	semidirect
26. C₂×C₂₉×#533	C₂	semidirect
27. C₂×C₂₉×#529	C₂	semidirect
28. C₂₉×#563	C₂²	semidirect
29. C₂₉×#563	C₂²	semidirect
30. C₂₉×#563	C₂²	semidirect
31. C₂₉×#562	C₂²	semidirect
32. C₂₉×#559	C₂²	semidirect
33. C₂₉×#559	C₂²	semidirect
34. C₂₉×#559	C₂²	semidirect
35. C₂₉×#559	C₂²	semidirect
36. Q₈²×C₂₉	C₂²	semidirect
37. Q₈²×C₂₉	C₂²	semidirect
38. C₂₉×#557	C₂²	semidirect
39. C₂₉×#557	C₂²	semidirect
40. C₂₉×#557	C₂²	semidirect
41. C₂₉×#557	C₂²	semidirect
42. C₂₉×#557	C₂²	semidirect
43. C₂₉×#557	C₂²	semidirect
44. C₂₉×#557	C₂²	semidirect
45. C₂₉×#556	C₂²	semidirect
46. C₂₉×#556	C₂²	semidirect
47. C₂₉×#556	C₂²	semidirect
48. C₂₉×#556	C₂²	semidirect
49. C₂₉×#556	C₂²	semidirect
50. C₂₉×#556	C₂²	semidirect
51. C₂₉×#556	C₂²	semidirect
52. C₂₉×#556	C₂²	semidirect
53. C₂₉×#556	C₂²	semidirect
55. C₂₉×#555	C₂²	semidirect
58. C₂₉×#554	C₂²	semidirect
59. C₂₉×#554	C₂²	semidirect
60. C₂₉×#554	C₂²	semidirect
61. C₂₉×#554	C₂²	semidirect
62. C₂₉×#554	C₂²	semidirect
63. C₂₉×#554	C₂²	semidirect
64. C₂₉×#554	C₂²	semidirect
65. C₂₉×#554	C₂²	semidirect
68. C₂₉×#553	C₂²	semidirect
70. C₂₉×#552	C₂²	semidirect
71. C₂₉×#552	C₂²	semidirect
72. C₂₉×#552	C₂²	semidirect
73. C₂₉×#552	C₂²	semidirect
74. C₂₉×#552	C₂²	semidirect
75. C₂₉×#552	C₂²	semidirect
76. C₂₉×#552	C₂²	semidirect
77. C₂₉×#552	C₂²	semidirect
78. C₂₉×#552	C₂²	semidirect
79. C₂₉×#552	C₂²	semidirect
84. C₂₉×#550	C₂²	semidirect
85. D₄×Q₈×C₂₉	C₂²	semidirect
86. D₄×Q₈×C₂₉	C₂²	semidirect
87. D₄×Q₈×C₂₉	C₂²	semidirect
88. C₂₉×#548	C₂²	semidirect
89. C₂₉×#548	C₂²	semidirect
91. C₂₉×#547	C₂²	semidirect
92. C₂₉×#547	C₂²	semidirect
93. C₂₉×#547	C₂²	semidirect
94. C₂₉×#547	C₂²	semidirect
99. C₂₉×#544	C₂²	semidirect
100. C₂₉×#544	C₂²	semidirect
101. C₂₉×#544	C₂²	semidirect
104. C₂₉×#542	C₂²	semidirect
105. C₂₉×#542	C₂²	semidirect
106. C₂₉×#542	C₂²	semidirect
107. C₂₉×#542	C₂²	semidirect
108. C₂₉×#542	C₂²	semidirect
109. C₂₉×#542	C₂²	semidirect
110. C₂₉×#542	C₂²	semidirect
111. C₂₉×#542	C₂²	semidirect
112. C₂₉×#541	C₂²	semidirect
113. C₂₉×#541	C₂²	semidirect
114. C₂₉×#541	C₂²	semidirect
115. C₂₉×#541	C₂²	semidirect
116. C₂₉×#541	C₂²	semidirect
119. C₂₉×#539	C₂²	semidirect
120. C₂₉×#539	C₂²	semidirect
121. C₂₉×#539	C₂²	semidirect
122. C₂₉×#539	C₂²	semidirect
123. C₂₉×#539	C₂²	semidirect
126. C₂₉×#536	C₂²	semidirect
127. C₂₉×#536	C₂²	semidirect
136. C₂₉×#533	C₂²	semidirect
137. C₂₉×#533	C₂²	semidirect
138. C₂₉×#533	C₂²	semidirect
139. C₂₉×#533	C₂²	semidirect
140. C₂₉×#533	C₂²	semidirect
141. C₂₉×#533	C₂²	semidirect
142. C₂₉×#533	C₂²	semidirect
143. C₂₉×#533	C₂²	semidirect
144. C₂₉×#533	C₂²	semidirect
147. C₂₉×#532	C₂²	semidirect
148. C₂₉×#532	C₂²	semidirect
149. C₂×C₂₉×C₄⋊Q₈	C₂²	semidirect
150. C₂×C₂₉×C₄⋊Q₈	C₂²	semidirect
163. C₂₉×#529	C₂²	semidirect
164. C₂₉×#529	C₂²	semidirect
165. C₂₉×#529	C₂²	semidirect
166. C₂₉×#529	C₂²	semidirect
167. C₂₉×#529	C₂²	semidirect
168. C₂₉×#529	C₂²	semidirect
169. C₂₉×#529	C₂²	semidirect
172. C₂×C₂₉×#125	C₂²	semidirect
173. C₂×C₂₉×#125	C₂²	semidirect
187. C₂₉×#520	C₂²	semidirect
188. C₂₉×#520	C₂²	semidirect
190. C₂₉×#519	C₂²	semidirect
193. C₄×#41×C₂₉	C₂²	semidirect
194. C₄×#41×C₂₉	C₂²	semidirect
196. C₂×C₄×Q₈×C₂₉	C₂²	semidirect
197. C₂×C₄×Q₈×C₂₉	C₂²	semidirect
720. #62831	C₂₉	direct (N × H)
811. #3565	C₂×C₂₉	semidirect
812. #3564	C₂×C₂₉	semidirect
813. #3557	C₂×C₂₉	semidirect
814. #3555	C₂×C₂₉	semidirect
815. #3554	C₂×C₂₉	semidirect
816. #3552	C₂×C₂₉	semidirect
817. #3544	C₂×C₂₉	semidirect
818. #3535	C₂×C₂₉	semidirect
819. #3523	C₂×C₂₉	semidirect
820. #3522	C₂×C₂₉	semidirect
821. #3520	C₂×C₂₉	semidirect
822. #3518	C₂×C₂₉	semidirect
823. #3515	C₂×C₂₉	semidirect
824. #3515	C₂×C₂₉	semidirect
825. #3510	C₂×C₂₉	semidirect
826. #3507	C₂×C₂₉	semidirect
827. #3507	C₂×C₂₉	semidirect
828. #3506	C₂×C₂₉	semidirect
829. #3504	C₂×C₂₉	semidirect
830. #3502	C₂×C₂₉	semidirect
831. #3501	C₂×C₂₉	semidirect
832. #3495	C₂×C₂₉	semidirect
833. #3495	C₂×C₂₉	semidirect
834. #3494	C₂×C₂₉	semidirect
835. #3444	C₂×C₂₉	semidirect
836. C₂×#533	C₂×C₂₉	semidirect
837. C₂×#529	C₂×C₂₉	semidirect
878. #563	C₂²×C₂₉	semidirect
879. #563	C₂²×C₂₉	semidirect
880. #563	C₂²×C₂₉	semidirect
881. #562	C₂²×C₂₉	semidirect
882. #559	C₂²×C₂₉	semidirect
883. #559	C₂²×C₂₉	semidirect
884. #559	C₂²×C₂₉	semidirect
885. #559	C₂²×C₂₉	semidirect
886. Q₈²	C₂²×C₂₉	semidirect
887. Q₈²	C₂²×C₂₉	semidirect
888. #557	C₂²×C₂₉	semidirect
889. #557	C₂²×C₂₉	semidirect
890. #557	C₂²×C₂₉	semidirect
891. #557	C₂²×C₂₉	semidirect
892. #557	C₂²×C₂₉	semidirect
893. #557	C₂²×C₂₉	semidirect
894. #557	C₂²×C₂₉	semidirect
895. #556	C₂²×C₂₉	semidirect
896. #556	C₂²×C₂₉	semidirect
897. #556	C₂²×C₂₉	semidirect
898. #556	C₂²×C₂₉	semidirect
899. #556	C₂²×C₂₉	semidirect
900. #556	C₂²×C₂₉	semidirect
901. #556	C₂²×C₂₉	semidirect
902. #556	C₂²×C₂₉	semidirect
903. #556	C₂²×C₂₉	semidirect
905. #555	C₂²×C₂₉	semidirect
908. #554	C₂²×C₂₉	semidirect
909. #554	C₂²×C₂₉	semidirect
910. #554	C₂²×C₂₉	semidirect
911. #554	C₂²×C₂₉	semidirect
912. #554	C₂²×C₂₉	semidirect
913. #554	C₂²×C₂₉	semidirect
914. #554	C₂²×C₂₉	semidirect
915. #554	C₂²×C₂₉	semidirect
918. #553	C₂²×C₂₉	semidirect
920. #552	C₂²×C₂₉	semidirect
921. #552	C₂²×C₂₉	semidirect
922. #552	C₂²×C₂₉	semidirect
923. #552	C₂²×C₂₉	semidirect
924. #552	C₂²×C₂₉	semidirect
925. #552	C₂²×C₂₉	semidirect
926. #552	C₂²×C₂₉	semidirect
927. #552	C₂²×C₂₉	semidirect
928. #552	C₂²×C₂₉	semidirect
929. #552	C₂²×C₂₉	semidirect
934. #550	C₂²×C₂₉	semidirect
935. D₄×Q₈	C₂²×C₂₉	semidirect
936. D₄×Q₈	C₂²×C₂₉	semidirect
937. D₄×Q₈	C₂²×C₂₉	semidirect
938. #548	C₂²×C₂₉	semidirect
939. #548	C₂²×C₂₉	semidirect
941. #547	C₂²×C₂₉	semidirect
942. #547	C₂²×C₂₉	semidirect
943. #547	C₂²×C₂₉	semidirect
944. #547	C₂²×C₂₉	semidirect
949. #544	C₂²×C₂₉	semidirect
950. #544	C₂²×C₂₉	semidirect
951. #544	C₂²×C₂₉	semidirect
954. #542	C₂²×C₂₉	semidirect
955. #542	C₂²×C₂₉	semidirect
956. #542	C₂²×C₂₉	semidirect
957. #542	C₂²×C₂₉	semidirect
958. #542	C₂²×C₂₉	semidirect
959. #542	C₂²×C₂₉	semidirect
960. #542	C₂²×C₂₉	semidirect
961. #542	C₂²×C₂₉	semidirect
962. #541	C₂²×C₂₉	semidirect
963. #541	C₂²×C₂₉	semidirect
964. #541	C₂²×C₂₉	semidirect
965. #541	C₂²×C₂₉	semidirect
966. #541	C₂²×C₂₉	semidirect
969. #539	C₂²×C₂₉	semidirect
970. #539	C₂²×C₂₉	semidirect
971. #539	C₂²×C₂₉	semidirect
972. #539	C₂²×C₂₉	semidirect
973. #539	C₂²×C₂₉	semidirect
976. #536	C₂²×C₂₉	semidirect
977. #536	C₂²×C₂₉	semidirect
986. #533	C₂²×C₂₉	semidirect
987. #533	C₂²×C₂₉	semidirect
988. #533	C₂²×C₂₉	semidirect
989. #533	C₂²×C₂₉	semidirect
990. #533	C₂²×C₂₉	semidirect
991. #533	C₂²×C₂₉	semidirect
992. #533	C₂²×C₂₉	semidirect
993. #533	C₂²×C₂₉	semidirect
994. #533	C₂²×C₂₉	semidirect
997. #532	C₂²×C₂₉	semidirect
998. #532	C₂²×C₂₉	semidirect
999. C₂×C₄⋊Q₈	C₂²×C₂₉	semidirect
1000. C₂×C₄⋊Q₈	C₂²×C₂₉	semidirect
1013. #529	C₂²×C₂₉	semidirect
1014. #529	C₂²×C₂₉	semidirect
1015. #529	C₂²×C₂₉	semidirect
1016. #529	C₂²×C₂₉	semidirect
1017. #529	C₂²×C₂₉	semidirect
1018. #529	C₂²×C₂₉	semidirect
1019. #529	C₂²×C₂₉	semidirect
1022. C₂×#125	C₂²×C₂₉	semidirect
1023. C₂×#125	C₂²×C₂₉	semidirect
1037. #520	C₂²×C₂₉	semidirect
1038. #520	C₂²×C₂₉	semidirect
1040. #519	C₂²×C₂₉	semidirect
1043. C₄×#41	C₂²×C₂₉	semidirect
1044. C₄×#41	C₂²×C₂₉	semidirect
1046. C₂×C₄×Q₈	C₂²×C₂₉	semidirect
1047. C₂×C₄×Q₈	C₂²×C₂₉	semidirect
1388. C₂₉	#62831	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×#3565	2
C₂₉×#3564	2
C₂₉×#3557	2
C₂₉×#3555	2
C₂₉×#3554	2
C₂₉×#3552	2
C₂₉×#3544	2
C₂₉×#3535	2
C₂₉×#3523	2
C₂₉×#3522	2
C₂₉×#3520	2
C₂₉×#3518	2
C₂₉×#3515	2
C₂₉×#3510	2
C₂₉×#3507	2
C₂₉×#3506	2
C₂₉×#3504	2
C₂₉×#3502	2
C₂₉×#3501	2
C₂₉×#3495	2
C₂₉×#3494	2
C₂₉×#3444	2
C₂×C₂₉×#533	2
C₂×C₂₉×#529	2
#62831	29

Subgroups — C29×#62831 #20357731

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62831 #20357731