Subgroups — C₂₉×#61156 #20356056

Order 7424.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₉×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3323	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3322	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3319	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3314	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3311	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3306	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3297	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3296	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3140	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3095	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3094	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3077	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3040	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3005	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3003	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₂₉×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×M₁₆×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₂₉×#418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₂₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₂₉	C₂²	1	1	yes	characteristic
26	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
30	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
31	C₂₉×#556	C₂²	1	1	yes	characteristic, complemented
32	C₂₉×#555	C₂²	1	1	yes	characteristic, complemented
33	C₂₉×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂₉×#553	C₂²	1	1	yes	characteristic, complemented
35	C₂₉×#553	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#552	—	2	1	no	—
37	C₂₉×#552	C₂²	1	1	yes	characteristic, complemented
38	C₂₉×#552	C₂²	1	1	yes	characteristic, complemented
39	C₂₉×#551	—	2	1	no	—
40	C₂₉×#551	—	2	1	no	—
41	C₂₉×#547	C₂²	1	1	yes	characteristic, complemented
42	C₂₉×#546	—	2	1	no	—
43	C₂₉×#546	—	2	1	no	—
44	C₂₉×#546	—	2	1	no	—
45	C₂₉×#546	—	2	1	no	—
46	C₂₉×#546	—	2	1	no	—
47	C₂₉×#546	C₂²	1	2	yes	—
48	C₂₉×#546	C₂²	1	2	yes	—
49	C₂₉×#546	C₂²	1	2	yes	—
50	C₂₉×#546	C₂²	1	2	yes	—
51	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
52	C₂₉×#529	—	2	1	no	—
53	C₂₉×#529	—	2	1	no	—
54	C₂₉×#529	—	2	1	no	—
55	C₂×C₂₉×#124	C₂²	1	1	yes	characteristic
56	C₂₉×#525	C₂²	1	1	yes	characteristic
57	C₂₉×#525	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₂₉×#123	—	2	1	no	—
59	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₂₉×#121	—	2	1	no	—
61	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic
62	C₂×C₂₉×#120	—	2	1	no	—
63	C₄×#41×C₂₉	—	2	1	no	—
64	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
67	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
68	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₂²⋊C₄×C₂₉	—	2	1	no	—
70	C₂₉×#489	C₂²	1	2	yes	complemented
71	C₂₉×#489	C₂²	1	2	yes	complemented
72	C₂₉×#488	C₂²	1	2	yes	complemented
73	C₂₉×#488	C₂²	1	2	yes	complemented
74	C₂₉×#485	C₂²	1	2	yes	complemented
75	C₂₉×#485	C₂²	1	2	yes	complemented
76	C₂₉×#484	C₂²	1	2	yes	complemented
77	C₂₉×#483	C₂²	1	2	yes	complemented
78	C₂₉×#482	C₂²	1	2	yes	complemented
79	C₂₉×#482	C₂²	1	2	yes	complemented
80	C₂₉×#481	C₂²	1	2	yes	complemented
81	C₂₉×#480	C₂²	1	2	yes	complemented
82	C₂₉×#478	C₂²	1	2	yes	complemented
83	C₂₉×#478	C₂²	1	2	yes	complemented
84	C₂₉×#476	C₂²	1	2	yes	complemented
85	C₂₉×#474	C₂²	1	2	yes	complemented
86	C₂₉×#470	C₂²	1	2	yes	complemented
87	C₂₉×#469	C₂²	1	2	yes	complemented
88	C₂₉×#468	C₂²	1	2	yes	complemented
89	C₂₉×#468	C₂²	1	2	yes	complemented
90	C₂₉×#467	C₂²	1	2	yes	complemented
91	C₂₉×#466	C₂²	1	2	yes	complemented
92	C₂₉×#465	C₂²	1	2	yes	complemented
93	C₂₉×#465	C₂²	1	2	yes	complemented
94	C₂₉×#464	C₂²	1	2	yes	complemented
95	C₂₉×#464	C₂²	1	2	yes	complemented
96	C₂₉×#463	C₂²	1	2	yes	complemented
97	C₂₉×#463	C₂²	1	2	yes	complemented
98	C₂₉×#452	C₂²	1	2	yes	complemented
99	C₂₉×#452	C₂²	1	2	yes	complemented
100	C₂₉×#450	C₂²	1	2	yes	complemented
101	C₂₉×#450	C₂²	1	2	yes	complemented
102	C₂₉×#449	C₂²	1	2	yes	complemented
103	C₂₉×#449	C₂²	1	2	yes	complemented
104	C₂₉×#447	C₂²	1	2	yes	complemented
105	C₂₉×#447	C₂²	1	2	yes	complemented
106	C₂₉×#442	C₂²	1	2	yes	complemented
107	C₂₉×#440	C₂²	1	2	yes	complemented
108	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	complemented
109	C₄×D₈×C₂₉	C₂²	1	2	yes	complemented
110	C₂₉×#436	C₂²	1	2	yes	complemented
111	C₂₉×#435	C₂²	1	2	yes	complemented
112	C₂₉×#435	C₂²	1	2	yes	complemented
113	C₈×D₄×C₂₉	C₂²	1	2	yes	complemented
114	C₂₉×#428	C₂²	1	1	yes	characteristic, complemented
115	C₂₉×#428	C₂²	1	1	yes	characteristic, complemented
116	C₂₉×#428	C₂²	1	1	yes	characteristic, complemented
117	C₂₉×#423	C₂²	1	1	yes	characteristic, complemented
118	C₂₉×#419	C₂²	1	1	yes	characteristic, complemented
119	C₂₉×#419	C₂²	1	1	yes	characteristic, complemented
120	C₂₉×#419	C₂²	1	1	yes	characteristic, complemented
121	C₂₉×#418	C₂²	1	1	yes	characteristic
122	C₂₉×#418	C₂²	1	1	yes	characteristic
123	C₂₉×#418	C₂²	1	1	yes	characteristic
124	C₂₉×#418	C₂²	1	1	yes	characteristic
125	C₂₉×#418	C₂²	1	1	yes	characteristic
126	C₂₉×#418	C₂²	1	1	yes	characteristic
127	C₂₉×#418	C₂²	1	2	yes	complemented
128	C₂₉×#418	C₂²	1	2	yes	complemented
129	C₂₉×#417	C₂²	1	1	yes	characteristic, complemented
130	C₂₉×#417	C₂²	1	2	yes	complemented
131	C₂₉×#417	C₂²	1	2	yes	complemented
132	C₂₉×#416	C₂²	1	2	yes	complemented
133	C₂₉×#416	C₂²	1	2	yes	complemented
134	C₂×C₂₉×#102	C₂²	1	2	yes	complemented
135	C₂×C₂₉×#102	C₂²	1	2	yes	complemented
136	C₂₉×#407	C₂²	1	1	yes	characteristic
137	C₂₉×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×M₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
139	C₂⁵×C₂₉	—	2	1	no	—
140	C₂×#41×C₂₉	—	2	1	no	—
141	C₂×#41×C₂₉	—	2	1	no	—
142	C₂×#41×C₂₉	—	2	1	no	—
143	C₂×#41×C₂₉	—	2	4	no	—
144	C₂×#41×C₂₉	—	4	2	no	—
145	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
146	C₂×#41×C₂₉	C₂³	1	2	yes	—
147	C₂×#41×C₂₉	C₂³	1	2	yes	—
148	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₂₉	—	2	4	no	—
150	C₂²×D₄×C₂₉	—	2	1	no	—
151	C₂²×D₄×C₂₉	—	2	1	no	—
152	C₂²×D₄×C₂₉	—	2	1	no	—
153	C₂²×D₄×C₂₉	—	2	1	no	—
154	C₂²×D₄×C₂₉	—	2	1	no	—
155	C₂²×D₄×C₂₉	—	4	2	no	—
156	C₂²×D₄×C₂₉	D₄	1	1	yes	characteristic
157	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
159	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
160	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₂₉	—	2	1	no	—
162	C₂³×C₄×C₂₉	—	2	1	no	—
163	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
165	C₂₉×#137	—	4	2	no	—
166	C₂₉×AGL(1,ℤ/8)	—	2	4	no	—
167	C₂₉×AGL(1,ℤ/8)	—	4	2	no	—
168	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	complemented
169	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
170	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
171	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	complemented
172	C₂×D₈×C₂₉	C₂³	1	2	yes	—
173	C₂×D₈×C₂₉	C₂³	1	2	yes	—
174	C₂×M₁₆×C₂₉	—	4	2	no	—
175	C₂×M₁₆×C₂₉	—	4	2	no	—
176	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
177	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
178	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
179	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
180	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
181	C₂×M₁₆×C₂₉	C₂³	1	2	yes	complemented
182	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
183	C₂²×C₈×C₂₉	C₂³	1	2	yes	complemented
184	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
185	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
186	C₂₉×#126	—	2	1	no	—
187	C₂₉×#126	—	2	1	no	—
188	C₂₉×#126	—	2	1	no	—
189	C₂₉×#126	—	2	1	no	—
190	C₂₉×#126	—	2	1	no	—
191	C₂₉×#126	—	2	1	no	—
192	C₂₉×#125	—	2	1	no	—
193	C₂₉×#125	—	2	1	no	—
194	C₂₉×#125	—	2	1	no	—
195	C₂₉×#125	C₂³	1	1	yes	characteristic, complemented
196	C₂₉×#125	C₂³	1	1	yes	characteristic, complemented
197	C₂₉×#124	—	2	1	no	—
198	C₂₉×#124	—	2	1	no	—
199	C₂₉×#124	—	2	1	no	—
200	C₂₉×#124	—	2	1	no	—
201	C₂₉×#124	—	2	1	no	—
202	C₂₉×#124	C₂³	1	2	yes	—
203	C₂₉×#124	C₂³	1	2	yes	—
204	C₂₉×#123	—	2	1	no	—
205	C₂₉×#123	—	2	1	no	—
206	C₂₉×#123	—	2	1	no	—
207	C₂₉×#123	—	2	1	no	—
208	C₂₉×#123	—	2	2	no	—
209	C₂₉×#123	—	2	2	no	—
210	C₂₉×#123	—	2	2	no	—
211	C₂₉×#123	—	2	2	no	—
212	C₂₉×#123	—	2	1	no	—
213	C₂₉×#123	—	2	1	no	—
214	C₂₉×#123	—	2	1	no	—
215	C₂₉×#123	—	2	1	no	—
216	C₂₉×C₂²⋊Q₈	—	2	1	no	—
217	C₂₉×C₂²⋊Q₈	—	2	1	no	—
218	C₂₉×C₂²⋊Q₈	—	2	1	no	—
219	C₂₉×C₂²⋊Q₈	—	2	1	no	—
220	C₂₉×C₂²⋊Q₈	—	2	1	no	—
221	C₂₉×C₂²⋊Q₈	—	2	1	no	—
222	C₂₉×C₂²⋊Q₈	—	2	1	no	—
223	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
228	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
229	C₂₉×#121	—	2	1	no	—
230	C₂₉×#121	—	2	1	no	—
231	C₂₉×#121	—	2	1	no	—
232	C₂₉×#121	—	2	1	no	—
233	C₂₉×#121	—	2	1	no	—
234	C₂₉×#121	—	2	2	no	—
235	C₂₉×#121	—	2	2	no	—
236	C₂₉×#121	—	2	2	no	—
237	C₂₉×#121	—	2	2	no	—
238	C₂₉×#121	C₂³	1	1	yes	characteristic
239	C₂₉×#121	C₂³	1	1	yes	characteristic
240	C₂₉×#121	C₂³	1	2	yes	—
241	C₂₉×#121	C₂³	1	2	yes	—
242	C₂₉×#121	C₂³	1	1	yes	characteristic, complemented
243	C₂₉×#121	C₂³	1	1	yes	characteristic, complemented
244	C₂₉×#120	—	2	1	no	—
245	C₂₉×#120	—	2	1	no	—
246	C₂₉×#120	—	2	2	no	—
247	C₂₉×#120	—	2	2	no	—
248	C₂₉×#120	—	2	2	no	—
249	C₂₉×#120	—	2	2	no	—
250	C₄×Q₈×C₂₉	—	2	1	no	—
251	C₄×Q₈×C₂₉	—	2	1	no	—
252	C₄×Q₈×C₂₉	—	2	1	no	—
253	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic, complemented
254	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic, complemented
255	C₄×D₄×C₂₉	—	2	1	no	—
256	C₄×D₄×C₂₉	—	2	1	no	—
257	C₄×D₄×C₂₉	—	2	1	no	—
258	C₄×D₄×C₂₉	—	2	1	no	—
259	C₄×D₄×C₂₉	—	2	1	no	—
260	C₄×D₄×C₂₉	—	2	1	no	—
261	C₄×D₄×C₂₉	—	2	1	no	—
262	C₄×D₄×C₂₉	—	2	1	no	—
263	C₄×D₄×C₂₉	—	2	1	no	—
264	C₄×D₄×C₂₉	—	2	1	no	—
265	C₄×D₄×C₂₉	—	2	1	no	—
266	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
267	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
268	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
269	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
270	C₄×D₄×C₂₉	C₂³	1	2	yes	—
271	C₄×D₄×C₂₉	C₂³	1	2	yes	—
272	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
277	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
278	C₂₉×#117	—	2	1	no	—
279	C₂₉×#117	—	2	1	no	—
280	C₂₉×#117	—	2	1	no	—
281	C₂₉×#117	—	2	1	no	—
282	C₂₉×#117	—	2	1	no	—
283	C₂₉×#117	—	2	1	no	—
284	C₂₉×#117	—	2	1	no	—
285	C₂₉×#117	—	2	1	no	—
286	C₂₉×#117	C₂³	1	1	yes	characteristic
287	C₂₉×#117	C₂³	1	1	yes	characteristic
288	C₂₉×#117	C₂³	1	1	yes	characteristic
289	C₂₉×#117	C₂³	1	1	yes	characteristic
290	C₂₉×#117	C₂³	1	1	yes	characteristic
291	C₂₉×#117	C₂³	1	1	yes	characteristic, complemented
292	C₂₉×#117	C₂³	1	1	yes	characteristic, complemented
293	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
294	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
299	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
300	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
301	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
302	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
303	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
304	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
305	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
306	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
307	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
308	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
309	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
310	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
311	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
313	C₂×C₄²×C₂₉	—	2	1	no	—
314	C₂×C₄²×C₂₉	—	2	1	no	—
315	C₂×C₄²×C₂₉	—	2	1	no	—
316	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
317	C₂₉×#107	C₂³	1	2	yes	complemented
318	C₂₉×#107	C₂³	1	2	yes	complemented
319	C₂₉×#107	C₂³	1	2	yes	complemented
320	C₂₉×#106	C₂³	1	2	yes	complemented
321	C₂₉×#106	C₂³	1	2	yes	complemented
322	C₂₉×#106	C₂³	1	2	yes	complemented
323	C₂₉×C₄⋊C₈	C₂³	1	2	yes	complemented
324	C₂₉×C₄⋊C₈	C₂³	1	2	yes	complemented
325	C₂₉×#103	C₂³	1	2	yes	complemented
326	C₂₉×#103	C₂³	1	2	yes	complemented
327	C₂₉×#103	C₂³	1	2	yes	complemented
328	C₂₉×#103	C₂³	1	2	yes	complemented
329	C₂₉×#103	C₂³	1	2	yes	complemented
330	C₂₉×#103	C₂³	1	2	yes	complemented
331	C₂₉×#103	C₂³	1	2	yes	complemented
332	C₂₉×#102	C₂³	1	2	yes	—
333	C₂₉×#102	C₂³	1	2	yes	—
334	C₂₉×#102	C₂³	1	2	yes	—
335	C₂₉×#102	C₂³	1	2	yes	—
336	C₂₉×#102	C₂³	1	2	yes	—
337	C₂₉×#102	C₂³	1	2	yes	—
338	C₂₉×#102	C₂³	1	2	yes	—
339	C₂₉×#102	C₂³	1	2	yes	—
340	C₂₉×#102	C₂³	1	2	yes	—
341	C₂₉×#102	C₂³	1	2	yes	—
342	C₂₉×#102	C₂³	1	2	yes	—
343	C₂₉×#102	C₂³	1	2	yes	—
344	C₂₉×#102	C₂³	1	2	yes	complemented
345	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	complemented
348	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	complemented
349	C₂₉×#97	C₂³	1	2	yes	complemented
350	C₄×C₈×C₂₉	C₂³	1	2	yes	complemented
351	C₂⁴×C₂₉	—	2	1	no	—
352	C₂⁴×C₂₉	—	2	1	no	—
353	C₂⁴×C₂₉	—	2	2	no	—
354	C₂⁴×C₂₉	—	2	2	no	—
355	C₂⁴×C₂₉	—	4	4	no	—
356	C₂⁴×C₂₉	—	4	4	no	—
357	C₂⁴×C₂₉	—	8	2	no	—
358	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
359	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
360	#41×C₂₉	—	2	4	no	—
361	#41×C₂₉	—	2	4	no	—
362	#41×C₂₉	—	2	2	no	—
363	#41×C₂₉	—	2	2	no	—
364	#41×C₂₉	—	4	2	no	—
365	#41×C₂₉	—	4	2	no	—
366	#41×C₂₉	—	4	4	no	—
367	#41×C₂₉	—	4	4	no	—
368	#41×C₂₉	—	4	4	no	—
369	C₂×Q₈×C₂₉	—	2	1	no	—
370	C₂×Q₈×C₂₉	—	2	1	no	—
371	C₂×Q₈×C₂₉	—	2	1	no	—
372	C₂×Q₈×C₂₉	—	2	2	no	—
373	C₂×Q₈×C₂₉	—	2	2	no	—
374	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
376	C₂×D₄×C₂₉	—	2	4	no	—
377	C₂×D₄×C₂₉	—	2	4	no	—
378	C₂×D₄×C₂₉	—	2	1	no	—
379	C₂×D₄×C₂₉	—	2	1	no	—
380	C₂×D₄×C₂₉	—	2	1	no	—
381	C₂×D₄×C₂₉	—	2	2	no	—
382	C₂×D₄×C₂₉	—	2	2	no	—
383	C₂×D₄×C₂₉	—	2	1	no	—
384	C₂×D₄×C₂₉	—	2	1	no	—
385	C₂×D₄×C₂₉	—	2	2	no	—
386	C₂×D₄×C₂₉	—	2	2	no	—
387	C₂×D₄×C₂₉	—	2	1	no	—
388	C₂×D₄×C₂₉	—	2	2	no	—
389	C₂×D₄×C₂₉	—	2	2	no	—
390	C₂×D₄×C₂₉	—	2	1	no	—
391	C₂×D₄×C₂₉	—	2	2	no	—
392	C₂×D₄×C₂₉	—	2	2	no	—
393	C₂×D₄×C₂₉	—	2	2	no	—
394	C₂×D₄×C₂₉	—	4	2	no	—
395	C₂×D₄×C₂₉	—	4	2	no	—
396	C₂×D₄×C₂₉	—	4	4	no	—
397	C₂×D₄×C₂₉	—	4	4	no	—
398	C₂×D₄×C₂₉	—	4	4	no	—
399	C₂×D₄×C₂₉	—	4	2	no	—
400	C₂×D₄×C₂₉	—	4	4	no	—
401	C₂×D₄×C₂₉	—	8	2	no	—
402	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
403	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
404	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
405	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
406	C₂×D₄×C₂₉	#41	1	4	yes	complemented
407	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
408	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
409	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
410	C₂²×C₄×C₂₉	—	2	2	no	—
411	C₂²×C₄×C₂₉	—	2	2	no	—
412	C₂²×C₄×C₂₉	—	2	2	no	—
413	C₂²×C₄×C₂₉	—	2	2	no	—
414	C₂²×C₄×C₂₉	—	2	1	no	—
415	C₂²×C₄×C₂₉	—	2	1	no	—
416	C₂²×C₄×C₂₉	—	2	1	no	—
417	C₂²×C₄×C₂₉	—	2	1	no	—
418	C₂²×C₄×C₂₉	—	2	1	no	—
419	C₂²×C₄×C₂₉	—	2	1	no	—
420	C₂²×C₄×C₂₉	—	2	1	no	—
421	C₂²×C₄×C₂₉	—	2	1	no	—
422	C₂²×C₄×C₂₉	—	2	2	no	—
423	C₂²×C₄×C₂₉	—	2	2	no	—
424	C₂²×C₄×C₂₉	—	2	1	no	—
425	C₂²×C₄×C₂₉	—	2	2	no	—
426	C₂²×C₄×C₂₉	—	2	2	no	—
427	C₂²×C₄×C₂₉	—	4	4	no	—
428	C₂²×C₄×C₂₉	—	8	2	no	—
429	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
442	Q₁₆×C₂₉	—	4	2	no	—
443	SD₁₆×C₂₉	—	2	4	no	—
444	SD₁₆×C₂₉	—	4	2	no	—
445	SD₁₆×C₂₉	—	4	2	no	—
446	D₈×C₂₉	—	2	4	no	—
447	D₈×C₂₉	—	4	2	no	—
448	M₁₆×C₂₉	—	2	2	no	—
449	M₁₆×C₂₉	—	2	2	no	—
450	M₁₆×C₂₉	—	2	2	no	—
451	M₁₆×C₂₉	—	2	2	no	—
452	M₁₆×C₂₉	—	4	2	no	—
453	M₁₆×C₂₉	—	4	2	no	—
454	C₂×C₈×C₂₉	—	4	2	no	—
455	C₂×C₈×C₂₉	—	4	2	no	—
456	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
457	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
458	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
459	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
460	C₄⋊C₄×C₂₉	—	2	2	no	—
461	C₄⋊C₄×C₂₉	—	2	2	no	—
462	C₄⋊C₄×C₂₉	—	2	1	no	—
463	C₄⋊C₄×C₂₉	—	2	1	no	—
464	C₄⋊C₄×C₂₉	—	2	1	no	—
465	C₄⋊C₄×C₂₉	—	2	1	no	—
466	C₄⋊C₄×C₂₉	—	2	1	no	—
467	C₄⋊C₄×C₂₉	—	2	1	no	—
468	C₄⋊C₄×C₂₉	—	2	1	no	—
469	C₄⋊C₄×C₂₉	—	2	1	no	—
470	C₄⋊C₄×C₂₉	—	2	1	no	—
471	C₄⋊C₄×C₂₉	—	2	1	no	—
472	C₄⋊C₄×C₂₉	—	2	1	no	—
473	C₄⋊C₄×C₂₉	—	2	1	no	—
474	C₄⋊C₄×C₂₉	—	2	1	no	—
475	C₄⋊C₄×C₂₉	—	2	1	no	—
476	C₄⋊C₄×C₂₉	—	2	1	no	—
477	C₄⋊C₄×C₂₉	—	2	1	no	—
478	C₄⋊C₄×C₂₉	—	2	1	no	—
479	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
480	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
481	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
482	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
483	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
484	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
485	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
486	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
487	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
488	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
489	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
490	C₂²⋊C₄×C₂₉	—	2	2	no	—
491	C₂²⋊C₄×C₂₉	—	2	2	no	—
492	C₂²⋊C₄×C₂₉	—	2	1	no	—
493	C₂²⋊C₄×C₂₉	—	2	1	no	—
494	C₂²⋊C₄×C₂₉	—	2	1	no	—
495	C₂²⋊C₄×C₂₉	—	2	1	no	—
496	C₂²⋊C₄×C₂₉	—	2	1	no	—
497	C₂²⋊C₄×C₂₉	—	2	1	no	—
498	C₂²⋊C₄×C₂₉	—	2	1	no	—
499	C₂²⋊C₄×C₂₉	—	2	1	no	—
500	C₂²⋊C₄×C₂₉	—	2	1	no	—
501	C₂²⋊C₄×C₂₉	—	2	1	no	—
502	C₂²⋊C₄×C₂₉	—	2	1	no	—
503	C₂²⋊C₄×C₂₉	—	2	2	no	—
504	C₂²⋊C₄×C₂₉	—	2	2	no	—
505	C₂²⋊C₄×C₂₉	—	2	2	no	—
506	C₂²⋊C₄×C₂₉	—	2	2	no	—
507	C₂²⋊C₄×C₂₉	—	2	2	no	—
508	C₂²⋊C₄×C₂₉	—	2	2	no	—
509	C₂²⋊C₄×C₂₉	—	2	2	no	—
510	C₂²⋊C₄×C₂₉	—	2	2	no	—
511	C₂²⋊C₄×C₂₉	—	2	1	no	—
512	C₂²⋊C₄×C₂₉	—	2	1	no	—
513	C₂²⋊C₄×C₂₉	—	2	1	no	—
514	C₂²⋊C₄×C₂₉	—	2	1	no	—
515	C₂²⋊C₄×C₂₉	—	2	1	no	—
516	C₂²⋊C₄×C₂₉	—	2	1	no	—
517	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
518	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
519	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
520	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
521	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
522	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
523	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
524	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
525	C₄²×C₂₉	—	2	1	no	—
526	C₄²×C₂₉	—	2	1	no	—
527	C₄²×C₂₉	—	2	1	no	—
528	C₄²×C₂₉	—	2	1	no	—
529	C₄²×C₂₉	—	2	1	no	—
530	C₄²×C₂₉	—	2	1	no	—
531	C₄²×C₂₉	—	2	1	no	—
532	C₄²×C₂₉	—	2	1	no	—
533	C₄²×C₂₉	—	2	1	no	—
534	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
535	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
536	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
537	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
538	#61156	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
539	C₂³×C₂₉	—	2	2	no	—
540	C₂³×C₂₉	—	2	4	no	—
541	C₂³×C₂₉	—	2	2	no	—
542	C₂³×C₂₉	—	2	2	no	—
543	C₂³×C₂₉	—	2	2	no	—
544	C₂³×C₂₉	—	2	1	no	—
545	C₂³×C₂₉	—	2	2	no	—
546	C₂³×C₂₉	—	4	1	no	—
547	C₂³×C₂₉	—	4	1	no	—
548	C₂³×C₂₉	—	4	1	no	—
549	C₂³×C₂₉	—	4	4	no	—
550	C₂³×C₂₉	—	4	4	no	—
551	C₂³×C₂₉	—	4	2	no	—
552	C₂³×C₂₉	—	4	2	no	—
553	C₂³×C₂₉	—	4	2	no	—
554	C₂³×C₂₉	—	4	2	no	—
555	C₂³×C₂₉	—	4	4	no	—
556	C₂³×C₂₉	—	4	2	no	—
557	C₂³×C₂₉	—	4	4	no	—
558	C₂³×C₂₉	—	8	2	no	—
559	C₂³×C₂₉	—	8	2	no	—
560	C₂³×C₂₉	—	8	16	no	—
561	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
562	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
563	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
564	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
565	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
566	Q₈×C₂₉	—	2	1	no	—
567	Q₈×C₂₉	—	2	2	no	—
568	Q₈×C₂₉	—	2	1	no	—
569	Q₈×C₂₉	—	2	2	no	—
570	Q₈×C₂₉	—	4	2	no	—
571	Q₈×C₂₉	—	4	2	no	—
572	Q₈×C₂₉	—	8	1	no	—
573	D₄×C₂₉	—	2	2	no	—
574	D₄×C₂₉	—	2	2	no	—
575	D₄×C₂₉	—	2	4	no	—
576	D₄×C₂₉	—	2	1	no	—
577	D₄×C₂₉	—	2	2	no	—
578	D₄×C₂₉	—	2	2	no	—
579	D₄×C₂₉	—	2	1	no	—
580	D₄×C₂₉	—	2	2	no	—
581	D₄×C₂₉	—	4	1	no	—
582	D₄×C₂₉	—	4	1	no	—
583	D₄×C₂₉	—	4	4	no	—
584	D₄×C₂₉	—	4	4	no	—
585	D₄×C₂₉	—	4	4	no	—
586	D₄×C₂₉	—	4	4	no	—
587	D₄×C₂₉	—	4	2	no	—
588	D₄×C₂₉	—	4	2	no	—
589	D₄×C₂₉	—	4	2	no	—
590	D₄×C₂₉	—	4	2	no	—
591	D₄×C₂₉	—	8	1	no	—
592	D₄×C₂₉	—	8	1	no	—
593	D₄×C₂₉	—	8	2	no	—
594	D₄×C₂₉	—	8	2	no	—
595	D₄×C₂₉	C₂×#41	1	4	yes	—
596	C₂×C₄×C₂₉	—	2	2	no	—
597	C₂×C₄×C₂₉	—	2	2	no	—
598	C₂×C₄×C₂₉	—	2	2	no	—
599	C₂×C₄×C₂₉	—	2	2	no	—
600	C₂×C₄×C₂₉	—	2	2	no	—
601	C₂×C₄×C₂₉	—	2	2	no	—
602	C₂×C₄×C₂₉	—	2	1	no	—
603	C₂×C₄×C₂₉	—	2	1	no	—
604	C₂×C₄×C₂₉	—	2	1	no	—
605	C₂×C₄×C₂₉	—	2	1	no	—
606	C₂×C₄×C₂₉	—	2	1	no	—
607	C₂×C₄×C₂₉	—	2	1	no	—
608	C₂×C₄×C₂₉	—	2	1	no	—
609	C₂×C₄×C₂₉	—	2	1	no	—
610	C₂×C₄×C₂₉	—	2	1	no	—
611	C₂×C₄×C₂₉	—	2	1	no	—
612	C₂×C₄×C₂₉	—	2	1	no	—
613	C₂×C₄×C₂₉	—	2	1	no	—
614	C₂×C₄×C₂₉	—	2	1	no	—
615	C₂×C₄×C₂₉	—	2	1	no	—
616	C₂×C₄×C₂₉	—	2	1	no	—
617	C₂×C₄×C₂₉	—	2	2	no	—
618	C₂×C₄×C₂₉	—	2	2	no	—
619	C₂×C₄×C₂₉	—	4	1	no	—
620	C₂×C₄×C₂₉	—	4	1	no	—
621	C₂×C₄×C₂₉	—	4	4	no	—
622	C₂×C₄×C₂₉	—	4	4	no	—
623	C₂×C₄×C₂₉	—	4	2	no	—
624	C₂×C₄×C₂₉	—	4	2	no	—
625	C₂×C₄×C₂₉	—	4	2	no	—
626	C₂×C₄×C₂₉	—	4	2	no	—
627	C₂×C₄×C₂₉	—	4	2	no	—
628	C₂×C₄×C₂₉	—	4	2	no	—
629	C₂×C₄×C₂₉	—	8	1	no	—
630	C₂×C₄×C₂₉	—	8	2	no	—
631	C₂×C₄×C₂₉	—	8	2	no	—
632	C₂×C₄×C₂₉	—	8	1	no	—
633	C₂×C₄×C₂₉	—	8	1	no	—
634	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
635	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
636	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
638	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
639	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
640	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
641	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
642	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₂₉	C₂×#41	1	2	yes	—
644	C₂×C₄×C₂₉	H(5,𝔽₂)	1	2	yes	—
645	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
646	C₈×C₂₉	—	2	2	no	—
647	C₈×C₂₉	—	2	2	no	—
648	C₈×C₂₉	—	2	2	no	—
649	C₈×C₂₉	—	2	2	no	—
650	#3475	C₂×C₂₉	1	1	yes	characteristic, complemented
651	C₂×#546	C₂×C₂₉	1	1	yes	characteristic, complemented
652	#3323	C₂×C₂₉	1	2	yes	complemented
653	#3322	C₂×C₂₉	1	2	yes	complemented
654	#3319	C₂×C₂₉	1	2	yes	complemented
655	#3314	C₂×C₂₉	1	2	yes	complemented
656	#3311	C₂×C₂₉	1	2	yes	complemented
657	#3306	C₂×C₂₉	1	2	yes	complemented
658	#3297	C₂×C₂₉	1	2	yes	complemented
659	#3296	C₂×C₂₉	1	2	yes	complemented
660	#3140	C₂×C₂₉	1	1	yes	characteristic, complemented
661	#3095	C₂×C₂₉	1	1	yes	characteristic, complemented
662	#3094	C₂×C₂₉	1	1	yes	characteristic, complemented
663	#3077	C₂×C₂₉	1	1	yes	characteristic, complemented
664	#3056	C₂×C₂₉	1	1	yes	characteristic, complemented
665	#3055	C₂×C₂₉	1	1	yes	characteristic, complemented
666	#3040	C₂×C₂₉	1	1	yes	characteristic, complemented
667	#3005	C₂×C₂₉	1	1	yes	characteristic, complemented
668	#3003	C₂×C₂₉	1	1	yes	characteristic, complemented
669	C₄×AGL(1,ℤ/8)	C₂×C₂₉	1	1	yes	characteristic, complemented
670	D₄×M₁₆	C₂×C₂₉	1	1	yes	characteristic, complemented
671	#2896	C₂×C₂₉	1	1	yes	characteristic, complemented
672	C₂×#418	C₂×C₂₉	1	1	yes	characteristic, complemented
673	C₂²×C₂₉	—	2	1	no	—
674	C₂²×C₂₉	—	2	1	no	—
675	C₂²×C₂₉	—	2	1	no	—
676	C₂²×C₂₉	—	2	1	no	—
677	C₂²×C₂₉	—	2	1	no	—
678	C₂²×C₂₉	—	2	1	no	—
679	C₂²×C₂₉	—	2	1	no	—
680	C₂²×C₂₉	—	2	1	no	—
681	C₂²×C₂₉	—	2	1	no	—
682	C₂²×C₂₉	—	2	1	no	—
683	C₂²×C₂₉	—	2	4	no	—
684	C₂²×C₂₉	—	2	1	no	—
685	C₂²×C₂₉	—	2	1	no	—
686	C₂²×C₂₉	—	2	1	no	—
687	C₂²×C₂₉	—	4	4	no	—
688	C₂²×C₂₉	—	4	8	no	—
689	C₂²×C₂₉	—	4	2	no	—
690	C₂²×C₂₉	—	4	2	no	—
691	C₂²×C₂₉	—	4	1	no	—
692	C₂²×C₂₉	—	4	2	no	—
693	C₂²×C₂₉	—	4	1	no	—
694	C₂²×C₂₉	—	4	2	no	—
695	C₂²×C₂₉	—	4	1	no	—
696	C₂²×C₂₉	—	4	2	no	—
697	C₂²×C₂₉	—	8	2	no	—
698	C₂²×C₂₉	—	8	8	no	—
699	C₂²×C₂₉	—	8	4	no	—
700	C₂²×C₂₉	—	8	8	no	—
701	C₂²×C₂₉	#546	1	2	yes	—
702	C₂²×C₂₉	#575	1	2	yes	—
703	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
704	C₄×C₂₉	—	2	1	no	—
705	C₄×C₂₉	—	2	1	no	—
706	C₄×C₂₉	—	2	1	no	—
707	C₄×C₂₉	—	2	1	no	—
708	C₄×C₂₉	—	2	1	no	—
709	C₄×C₂₉	—	2	1	no	—
710	C₄×C₂₉	—	2	1	no	—
711	C₄×C₂₉	—	2	1	no	—
712	C₄×C₂₉	—	4	2	no	—
713	C₄×C₂₉	—	4	1	no	—
714	C₄×C₂₉	—	4	1	no	—
715	C₄×C₂₉	—	4	1	no	—
716	C₄×C₂₉	—	4	2	no	—
717	C₄×C₂₉	—	4	1	no	—
718	C₄×C₂₉	—	4	1	no	—
719	C₄×C₂₉	—	4	1	no	—
720	C₄×C₂₉	—	4	1	no	—
721	C₄×C₂₉	#546	1	2	yes	—
722	C₄×C₂₉	C₂²×#41	1	1	yes	characteristic
723	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
724	C₂²×#41	C₂²×C₂₉	1	1	yes	characteristic
725	C₂³×D₄	C₂²×C₂₉	1	1	yes	characteristic
726	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic, complemented
727	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
728	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
729	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
730	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
731	#556	C₂²×C₂₉	1	1	yes	characteristic, complemented
732	#555	C₂²×C₂₉	1	1	yes	characteristic, complemented
733	#554	C₂²×C₂₉	1	1	yes	characteristic, complemented
734	#553	C₂²×C₂₉	1	1	yes	characteristic, complemented
735	#553	C₂²×C₂₉	1	1	yes	characteristic, complemented
736	#552	—	2	1	no	—
737	#552	C₂²×C₂₉	1	1	yes	characteristic, complemented
738	#552	C₂²×C₂₉	1	1	yes	characteristic, complemented
739	#551	—	2	1	no	—
740	#551	—	2	1	no	—
741	#547	C₂²×C₂₉	1	1	yes	characteristic, complemented
742	#546	—	2	1	no	—
743	#546	—	2	1	no	—
744	#546	—	2	1	no	—
745	#546	—	2	1	no	—
746	#546	—	2	1	no	—
747	#546	C₂²×C₂₉	1	2	yes	—
748	#546	C₂²×C₂₉	1	2	yes	—
749	#546	C₂²×C₂₉	1	2	yes	—
750	#546	C₂²×C₂₉	1	2	yes	—
751	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
752	#529	—	2	1	no	—
753	#529	—	2	1	no	—
754	#529	—	2	1	no	—
755	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic
756	#525	C₂²×C₂₉	1	1	yes	characteristic
757	#525	C₂²×C₂₉	1	1	yes	characteristic, complemented
758	C₂×#123	—	2	1	no	—
759	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
760	C₂×#121	—	2	1	no	—
761	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic
762	C₂×#120	—	2	1	no	—
763	C₄×#41	—	2	1	no	—
764	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic, complemented
765	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
766	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
767	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
768	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic, complemented
769	C₂²×C₂²⋊C₄	—	2	1	no	—
770	#489	C₂²×C₂₉	1	2	yes	complemented
771	#489	C₂²×C₂₉	1	2	yes	complemented
772	#488	C₂²×C₂₉	1	2	yes	complemented
773	#488	C₂²×C₂₉	1	2	yes	complemented
774	#485	C₂²×C₂₉	1	2	yes	complemented
775	#485	C₂²×C₂₉	1	2	yes	complemented
776	#484	C₂²×C₂₉	1	2	yes	complemented
777	#483	C₂²×C₂₉	1	2	yes	complemented
778	#482	C₂²×C₂₉	1	2	yes	complemented
779	#482	C₂²×C₂₉	1	2	yes	complemented
780	#481	C₂²×C₂₉	1	2	yes	complemented
781	#480	C₂²×C₂₉	1	2	yes	complemented
782	#478	C₂²×C₂₉	1	2	yes	complemented
783	#478	C₂²×C₂₉	1	2	yes	complemented
784	#476	C₂²×C₂₉	1	2	yes	complemented
785	#474	C₂²×C₂₉	1	2	yes	complemented
786	#470	C₂²×C₂₉	1	2	yes	complemented
787	#469	C₂²×C₂₉	1	2	yes	complemented
788	#468	C₂²×C₂₉	1	2	yes	complemented
789	#468	C₂²×C₂₉	1	2	yes	complemented
790	#467	C₂²×C₂₉	1	2	yes	complemented
791	#466	C₂²×C₂₉	1	2	yes	complemented
792	#465	C₂²×C₂₉	1	2	yes	complemented
793	#465	C₂²×C₂₉	1	2	yes	complemented
794	#464	C₂²×C₂₉	1	2	yes	complemented
795	#464	C₂²×C₂₉	1	2	yes	complemented
796	#463	C₂²×C₂₉	1	2	yes	complemented
797	#463	C₂²×C₂₉	1	2	yes	complemented
798	#452	C₂²×C₂₉	1	2	yes	complemented
799	#452	C₂²×C₂₉	1	2	yes	complemented
800	#450	C₂²×C₂₉	1	2	yes	complemented
801	#450	C₂²×C₂₉	1	2	yes	complemented
802	#449	C₂²×C₂₉	1	2	yes	complemented
803	#449	C₂²×C₂₉	1	2	yes	complemented
804	#447	C₂²×C₂₉	1	2	yes	complemented
805	#447	C₂²×C₂₉	1	2	yes	complemented
806	#442	C₂²×C₂₉	1	2	yes	complemented
807	#440	C₂²×C₂₉	1	2	yes	complemented
808	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
809	C₄×D₈	C₂²×C₂₉	1	2	yes	complemented
810	#436	C₂²×C₂₉	1	2	yes	complemented
811	#435	C₂²×C₂₉	1	2	yes	complemented
812	#435	C₂²×C₂₉	1	2	yes	complemented
813	C₈×D₄	C₂²×C₂₉	1	2	yes	complemented
814	#428	C₂²×C₂₉	1	1	yes	characteristic, complemented
815	#428	C₂²×C₂₉	1	1	yes	characteristic, complemented
816	#428	C₂²×C₂₉	1	1	yes	characteristic, complemented
817	#423	C₂²×C₂₉	1	1	yes	characteristic, complemented
818	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
819	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
820	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
821	#418	C₂²×C₂₉	1	1	yes	characteristic
822	#418	C₂²×C₂₉	1	1	yes	characteristic
823	#418	C₂²×C₂₉	1	1	yes	characteristic
824	#418	C₂²×C₂₉	1	1	yes	characteristic
825	#418	C₂²×C₂₉	1	1	yes	characteristic
826	#418	C₂²×C₂₉	1	1	yes	characteristic
827	#418	C₂²×C₂₉	1	2	yes	complemented
828	#418	C₂²×C₂₉	1	2	yes	complemented
829	#417	C₂²×C₂₉	1	2	yes	complemented
830	#417	C₂²×C₂₉	1	2	yes	complemented
831	#417	C₂²×C₂₉	1	1	yes	characteristic, complemented
832	#416	C₂²×C₂₉	1	2	yes	complemented
833	#416	C₂²×C₂₉	1	2	yes	complemented
834	C₂×#102	C₂²×C₂₉	1	2	yes	complemented
835	C₂×#102	C₂²×C₂₉	1	2	yes	complemented
836	#407	C₂²×C₂₉	1	1	yes	characteristic
837	#407	C₂²×C₂₉	1	1	yes	characteristic, complemented
838	C₄×M₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
839	C₂×C₂₉	—	2	2	no	—
840	C₂×C₂₉	—	2	2	no	—
841	C₂×C₂₉	—	4	1	no	—
842	C₂×C₂₉	—	4	1	no	—
843	C₂×C₂₉	—	4	1	no	—
844	C₂×C₂₉	—	4	4	no	—
845	C₂×C₂₉	—	8	1	no	—
846	C₂×C₂₉	—	8	2	no	—
847	C₂×C₂₉	C₂×#546	1	1	yes	characteristic
848	C₂×C₂₉	C₂×#575	1	1	yes	characteristic
849	C₂×C₂₉	#3585	1	1	yes	characteristic
850	C₂⁵	—	2	1	no	—
851	C₂×#41	—	2	1	no	—
852	C₂×#41	—	2	1	no	—
853	C₂×#41	—	2	1	no	—
854	C₂×#41	—	2	4	no	—
855	C₂×#41	—	4	2	no	—
856	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
857	C₂×#41	C₂³×C₂₉	1	2	yes	—
858	C₂×#41	C₂³×C₂₉	1	2	yes	—
859	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
860	C₂²×D₄	—	2	4	no	—
861	C₂²×D₄	—	2	1	no	—
862	C₂²×D₄	—	2	1	no	—
863	C₂²×D₄	—	2	1	no	—
864	C₂²×D₄	—	2	1	no	—
865	C₂²×D₄	—	2	1	no	—
866	C₂²×D₄	—	4	2	no	—
867	C₂²×D₄	D₄×C₂₉	1	1	yes	characteristic
868	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
869	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
870	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
871	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
872	C₂³×C₄	—	2	1	no	—
873	C₂³×C₄	—	2	1	no	—
874	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
875	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
876	#137	—	4	2	no	—
877	AGL(1,ℤ/8)	—	2	4	no	—
878	AGL(1,ℤ/8)	—	4	2	no	—
879	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	complemented
880	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
881	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
882	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	complemented
883	C₂×D₈	C₂³×C₂₉	1	2	yes	—
884	C₂×D₈	C₂³×C₂₉	1	2	yes	—
885	C₂×M₁₆	—	4	2	no	—
886	C₂×M₁₆	—	4	2	no	—
887	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
888	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
889	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
890	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
891	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
892	C₂×M₁₆	C₂³×C₂₉	1	2	yes	complemented
893	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
894	C₂²×C₈	C₂³×C₂₉	1	2	yes	complemented
895	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
896	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
897	#126	—	2	1	no	—
898	#126	—	2	1	no	—
899	#126	—	2	1	no	—
900	#126	—	2	1	no	—
901	#126	—	2	1	no	—
902	#126	—	2	1	no	—
903	#125	—	2	1	no	—
904	#125	—	2	1	no	—
905	#125	—	2	1	no	—
906	#125	C₂³×C₂₉	1	1	yes	characteristic, complemented
907	#125	C₂³×C₂₉	1	1	yes	characteristic, complemented
908	#124	—	2	1	no	—
909	#124	—	2	1	no	—
910	#124	—	2	1	no	—
911	#124	—	2	1	no	—
912	#124	—	2	1	no	—
913	#124	C₂³×C₂₉	1	2	yes	—
914	#124	C₂³×C₂₉	1	2	yes	—
915	#123	—	2	1	no	—
916	#123	—	2	1	no	—
917	#123	—	2	1	no	—
918	#123	—	2	1	no	—
919	#123	—	2	2	no	—
920	#123	—	2	2	no	—
921	#123	—	2	2	no	—
922	#123	—	2	2	no	—
923	#123	—	2	1	no	—
924	#123	—	2	1	no	—
925	#123	—	2	1	no	—
926	#123	—	2	1	no	—
927	C₂²⋊Q₈	—	2	1	no	—
928	C₂²⋊Q₈	—	2	1	no	—
929	C₂²⋊Q₈	—	2	1	no	—
930	C₂²⋊Q₈	—	2	1	no	—
931	C₂²⋊Q₈	—	2	1	no	—
932	C₂²⋊Q₈	—	2	1	no	—
933	C₂²⋊Q₈	—	2	1	no	—
934	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
935	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
936	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
937	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
938	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
939	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	1	no	—
943	#121	—	2	1	no	—
944	#121	—	2	1	no	—
945	#121	—	2	2	no	—
946	#121	—	2	2	no	—
947	#121	—	2	2	no	—
948	#121	—	2	2	no	—
949	#121	C₂³×C₂₉	1	2	yes	—
950	#121	C₂³×C₂₉	1	2	yes	—
951	#121	C₂³×C₂₉	1	1	yes	characteristic
952	#121	C₂³×C₂₉	1	1	yes	characteristic
953	#121	C₂³×C₂₉	1	1	yes	characteristic, complemented
954	#121	C₂³×C₂₉	1	1	yes	characteristic, complemented
955	#120	—	2	1	no	—
956	#120	—	2	1	no	—
957	#120	—	2	2	no	—
958	#120	—	2	2	no	—
959	#120	—	2	2	no	—
960	#120	—	2	2	no	—
961	C₄×Q₈	—	2	1	no	—
962	C₄×Q₈	—	2	1	no	—
963	C₄×Q₈	—	2	1	no	—
964	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
965	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
966	C₄×D₄	—	2	1	no	—
967	C₄×D₄	—	2	1	no	—
968	C₄×D₄	—	2	1	no	—
969	C₄×D₄	—	2	1	no	—
970	C₄×D₄	—	2	1	no	—
971	C₄×D₄	—	2	1	no	—
972	C₄×D₄	—	2	1	no	—
973	C₄×D₄	—	2	1	no	—
974	C₄×D₄	—	2	1	no	—
975	C₄×D₄	—	2	1	no	—
976	C₄×D₄	—	2	1	no	—
977	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
978	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
979	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
980	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
981	C₄×D₄	C₂³×C₂₉	1	2	yes	—
982	C₄×D₄	C₂³×C₂₉	1	2	yes	—
983	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
984	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
985	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
986	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
987	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
988	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
989	#117	—	2	1	no	—
990	#117	—	2	1	no	—
991	#117	—	2	1	no	—
992	#117	—	2	1	no	—
993	#117	—	2	1	no	—
994	#117	—	2	1	no	—
995	#117	—	2	1	no	—
996	#117	—	2	1	no	—
997	#117	C₂³×C₂₉	1	1	yes	characteristic
998	#117	C₂³×C₂₉	1	1	yes	characteristic
999	#117	C₂³×C₂₉	1	1	yes	characteristic
1000	#117	C₂³×C₂₉	1	1	yes	characteristic
1001	#117	C₂³×C₂₉	1	1	yes	characteristic
1002	#117	C₂³×C₂₉	1	1	yes	characteristic, complemented
1003	#117	C₂³×C₂₉	1	1	yes	characteristic, complemented
1004	C₂×C₄⋊C₄	—	2	1	no	—
1005	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
1010	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
1011	C₂×C₂²⋊C₄	—	2	1	no	—
1012	C₂×C₂²⋊C₄	—	2	1	no	—
1013	C₂×C₂²⋊C₄	—	2	1	no	—
1014	C₂×C₂²⋊C₄	—	2	1	no	—
1015	C₂×C₂²⋊C₄	—	2	1	no	—
1016	C₂×C₂²⋊C₄	—	2	1	no	—
1017	C₂×C₂²⋊C₄	—	2	1	no	—
1018	C₂×C₂²⋊C₄	—	2	2	no	—
1019	C₂×C₂²⋊C₄	—	2	2	no	—
1020	C₂×C₂²⋊C₄	—	2	2	no	—
1021	C₂×C₂²⋊C₄	—	2	2	no	—
1022	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
1024	C₂×C₄²	—	2	1	no	—
1025	C₂×C₄²	—	2	1	no	—
1026	C₂×C₄²	—	2	1	no	—
1027	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1028	#107	C₂³×C₂₉	1	2	yes	complemented
1029	#107	C₂³×C₂₉	1	2	yes	complemented
1030	#107	C₂³×C₂₉	1	2	yes	complemented
1031	#106	C₂³×C₂₉	1	2	yes	complemented
1032	#106	C₂³×C₂₉	1	2	yes	complemented
1033	#106	C₂³×C₂₉	1	2	yes	complemented
1034	C₄⋊C₈	C₂³×C₂₉	1	2	yes	complemented
1035	C₄⋊C₈	C₂³×C₂₉	1	2	yes	complemented
1036	#103	C₂³×C₂₉	1	2	yes	complemented
1037	#103	C₂³×C₂₉	1	2	yes	complemented
1038	#103	C₂³×C₂₉	1	2	yes	complemented
1039	#103	C₂³×C₂₉	1	2	yes	complemented
1040	#103	C₂³×C₂₉	1	2	yes	complemented
1041	#103	C₂³×C₂₉	1	2	yes	complemented
1042	#103	C₂³×C₂₉	1	2	yes	complemented
1043	#102	C₂³×C₂₉	1	2	yes	—
1044	#102	C₂³×C₂₉	1	2	yes	—
1045	#102	C₂³×C₂₉	1	2	yes	—
1046	#102	C₂³×C₂₉	1	2	yes	—
1047	#102	C₂³×C₂₉	1	2	yes	—
1048	#102	C₂³×C₂₉	1	2	yes	—
1049	#102	C₂³×C₂₉	1	2	yes	—
1050	#102	C₂³×C₂₉	1	2	yes	—
1051	#102	C₂³×C₂₉	1	2	yes	—
1052	#102	C₂³×C₂₉	1	2	yes	—
1053	#102	C₂³×C₂₉	1	2	yes	—
1054	#102	C₂³×C₂₉	1	2	yes	—
1055	#102	C₂³×C₂₉	1	2	yes	complemented
1056	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
1057	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
1058	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	complemented
1059	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	complemented
1060	#97	C₂³×C₂₉	1	2	yes	complemented
1061	C₄×C₈	C₂³×C₂₉	1	2	yes	complemented
1062	C₂₉	#61156	1	1	yes	characteristic, direct product factor, Sylow
1063	C₂⁴	—	2	1	no	—
1064	C₂⁴	—	2	1	no	—
1065	C₂⁴	—	2	2	no	—
1066	C₂⁴	—	2	2	no	—
1067	C₂⁴	—	4	4	no	—
1068	C₂⁴	—	4	4	no	—
1069	C₂⁴	—	8	2	no	—
1070	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
1071	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
1072	#41	—	2	4	no	—
1073	#41	—	2	4	no	—
1074	#41	—	2	2	no	—
1075	#41	—	2	2	no	—
1076	#41	—	4	2	no	—
1077	#41	—	4	2	no	—
1078	#41	—	4	4	no	—
1079	#41	—	4	4	no	—
1080	#41	—	4	4	no	—
1081	C₂×Q₈	—	2	1	no	—
1082	C₂×Q₈	—	2	1	no	—
1083	C₂×Q₈	—	2	1	no	—
1084	C₂×Q₈	—	2	2	no	—
1085	C₂×Q₈	—	2	2	no	—
1086	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
1087	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	2	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	1	no	—
1097	C₂×D₄	—	2	2	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	1	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	4	2	no	—
1107	C₂×D₄	—	4	2	no	—
1108	C₂×D₄	—	4	4	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	4	4	no	—
1111	C₂×D₄	—	4	2	no	—
1112	C₂×D₄	—	4	4	no	—
1113	C₂×D₄	—	8	2	no	—
1114	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1115	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1116	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1117	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1118	C₂×D₄	#41×C₂₉	1	4	yes	complemented
1119	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1120	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1121	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	1	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	4	4	no	—
1140	C₂²×C₄	—	8	2	no	—
1141	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1142	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1143	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1144	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1148	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1154	Q₁₆	—	4	2	no	—
1155	SD₁₆	—	2	4	no	—
1156	SD₁₆	—	4	2	no	—
1157	SD₁₆	—	4	2	no	—
1158	D₈	—	2	4	no	—
1159	D₈	—	4	2	no	—
1160	M₁₆	—	2	2	no	—
1161	M₁₆	—	2	2	no	—
1162	M₁₆	—	2	2	no	—
1163	M₁₆	—	2	2	no	—
1164	M₁₆	—	4	2	no	—
1165	M₁₆	—	4	2	no	—
1166	C₂×C₈	—	4	2	no	—
1167	C₂×C₈	—	4	2	no	—
1168	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
1169	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
1170	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
1171	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	1	no	—
1175	C₄⋊C₄	—	2	1	no	—
1176	C₄⋊C₄	—	2	1	no	—
1177	C₄⋊C₄	—	2	1	no	—
1178	C₄⋊C₄	—	2	1	no	—
1179	C₄⋊C₄	—	2	1	no	—
1180	C₄⋊C₄	—	2	1	no	—
1181	C₄⋊C₄	—	2	1	no	—
1182	C₄⋊C₄	—	2	1	no	—
1183	C₄⋊C₄	—	2	1	no	—
1184	C₄⋊C₄	—	2	1	no	—
1185	C₄⋊C₄	—	2	1	no	—
1186	C₄⋊C₄	—	2	1	no	—
1187	C₄⋊C₄	—	2	1	no	—
1188	C₄⋊C₄	—	2	1	no	—
1189	C₄⋊C₄	—	2	1	no	—
1190	C₄⋊C₄	—	2	1	no	—
1191	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1192	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1193	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1194	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1195	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1196	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1197	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1198	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1199	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1200	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1201	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	—	2	1	no	—
1207	C₂²⋊C₄	—	2	1	no	—
1208	C₂²⋊C₄	—	2	1	no	—
1209	C₂²⋊C₄	—	2	1	no	—
1210	C₂²⋊C₄	—	2	1	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	1	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	—	2	1	no	—
1227	C₂²⋊C₄	—	2	1	no	—
1228	C₂²⋊C₄	—	2	1	no	—
1229	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1230	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1236	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1237	C₄²	—	2	1	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	—	2	1	no	—
1240	C₄²	—	2	1	no	—
1241	C₄²	—	2	1	no	—
1242	C₄²	—	2	1	no	—
1243	C₄²	—	2	1	no	—
1244	C₄²	—	2	1	no	—
1245	C₄²	—	2	1	no	—
1246	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1247	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1248	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1249	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	2	no	—
1257	C₂³	—	4	1	no	—
1258	C₂³	—	4	1	no	—
1259	C₂³	—	4	1	no	—
1260	C₂³	—	4	4	no	—
1261	C₂³	—	4	4	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	2	no	—
1264	C₂³	—	4	2	no	—
1265	C₂³	—	4	2	no	—
1266	C₂³	—	4	4	no	—
1267	C₂³	—	4	2	no	—
1268	C₂³	—	4	4	no	—
1269	C₂³	—	8	2	no	—
1270	C₂³	—	8	2	no	—
1271	C₂³	—	8	16	no	—
1272	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1273	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1274	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1275	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1276	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1277	Q₈	—	2	1	no	—
1278	Q₈	—	2	2	no	—
1279	Q₈	—	2	1	no	—
1280	Q₈	—	2	2	no	—
1281	Q₈	—	4	2	no	—
1282	Q₈	—	4	2	no	—
1283	Q₈	—	8	1	no	—
1284	D₄	—	2	2	no	—
1285	D₄	—	2	2	no	—
1286	D₄	—	2	4	no	—
1287	D₄	—	2	1	no	—
1288	D₄	—	2	2	no	—
1289	D₄	—	2	2	no	—
1290	D₄	—	2	1	no	—
1291	D₄	—	2	2	no	—
1292	D₄	—	4	1	no	—
1293	D₄	—	4	1	no	—
1294	D₄	—	4	4	no	—
1295	D₄	—	4	4	no	—
1296	D₄	—	4	4	no	—
1297	D₄	—	4	4	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	2	no	—
1300	D₄	—	4	2	no	—
1301	D₄	—	4	2	no	—
1302	D₄	—	8	2	no	—
1303	D₄	—	8	2	no	—
1304	D₄	—	8	1	no	—
1305	D₄	—	8	1	no	—
1306	D₄	C₂×#41×C₂₉	1	4	yes	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	4	1	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	2	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	2	no	—
1338	C₂×C₄	—	4	2	no	—
1339	C₂×C₄	—	4	2	no	—
1340	C₂×C₄	—	8	2	no	—
1341	C₂×C₄	—	8	2	no	—
1342	C₂×C₄	—	8	1	no	—
1343	C₂×C₄	—	8	1	no	—
1344	C₂×C₄	—	8	1	no	—
1345	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1346	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1347	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1348	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1349	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1350	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1351	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1352	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1353	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1354	C₂×C₄	C₂×#41×C₂₉	1	2	yes	—
1355	C₂×C₄	C₂₉×H(5,𝔽₂)	1	2	yes	—
1356	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1357	C₈	—	2	2	no	—
1358	C₈	—	2	2	no	—
1359	C₈	—	2	2	no	—
1360	C₈	—	2	2	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	4	4	no	—
1376	C₂²	—	4	8	no	—
1377	C₂²	—	4	2	no	—
1378	C₂²	—	4	2	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	2	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	2	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	2	no	—
1385	C₂²	—	8	2	no	—
1386	C₂²	—	8	8	no	—
1387	C₂²	—	8	4	no	—
1388	C₂²	—	8	8	no	—
1389	C₂²	C₂₉×#546	1	2	yes	—
1390	C₂²	C₂₉×#575	1	2	yes	—
1391	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	4	2	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	2	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	C₂₉×#546	1	2	yes	—
1410	C₄	C₂²×#41×C₂₉	1	1	yes	characteristic
1411	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂	—	2	2	no	—
1413	C₂	—	2	2	no	—
1414	C₂	—	4	1	no	—
1415	C₂	—	4	1	no	—
1416	C₂	—	4	1	no	—
1417	C₂	—	4	4	no	—
1418	C₂	—	8	2	no	—
1419	C₂	—	8	1	no	—
1420	C₂	C₂×C₂₉×#546	1	1	yes	characteristic
1421	C₂	C₂×C₂₉×#575	1	1	yes	characteristic
1422	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 ◁ C₂×C₄×D₄×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3475	C₂	semidirect
2. C₂×C₂₉×#546	C₂	semidirect
3. C₂₉×#3323	C₂	semidirect
4. C₂₉×#3322	C₂	semidirect
5. C₂₉×#3319	C₂	semidirect
6. C₂₉×#3314	C₂	semidirect
7. C₂₉×#3311	C₂	semidirect
8. C₂₉×#3306	C₂	semidirect
9. C₂₉×#3297	C₂	semidirect
10. C₂₉×#3296	C₂	semidirect
11. C₂₉×#3140	C₂	semidirect
12. C₂₉×#3095	C₂	semidirect
13. C₂₉×#3094	C₂	semidirect
14. C₂₉×#3077	C₂	semidirect
15. C₂₉×#3056	C₂	semidirect
16. C₂₉×#3055	C₂	semidirect
17. C₂₉×#3040	C₂	semidirect
18. C₂₉×#3005	C₂	semidirect
19. C₂₉×#3003	C₂	semidirect
20. C₄×C₂₉×AGL(1,ℤ/8)	C₂	semidirect
21. D₄×M₁₆×C₂₉	C₂	semidirect
22. C₂₉×#2896	C₂	semidirect
23. C₂×C₂₉×#418	C₂	semidirect
26. C₂×C₂₉×#137	C₂²	semidirect
30. C₂²×M₁₆×C₂₉	C₂²	semidirect
31. C₂₉×#556	C₂²	semidirect
32. C₂₉×#555	C₂²	semidirect
33. C₂₉×#554	C₂²	semidirect
34. C₂₉×#553	C₂²	semidirect
35. C₂₉×#553	C₂²	semidirect
37. C₂₉×#552	C₂²	semidirect
38. C₂₉×#552	C₂²	semidirect
41. C₂₉×#547	C₂²	semidirect
51. C₂₉×#533	C₂²	semidirect
57. C₂₉×#525	C₂²	semidirect
64. C₄×#41×C₂₉	C₂²	semidirect
68. C₂×C₂₉×#117	C₂²	semidirect
70. C₂₉×#489	C₂²	semidirect
71. C₂₉×#489	C₂²	semidirect
72. C₂₉×#488	C₂²	semidirect
73. C₂₉×#488	C₂²	semidirect
74. C₂₉×#485	C₂²	semidirect
75. C₂₉×#485	C₂²	semidirect
76. C₂₉×#484	C₂²	semidirect
77. C₂₉×#483	C₂²	semidirect
78. C₂₉×#482	C₂²	semidirect
79. C₂₉×#482	C₂²	semidirect
80. C₂₉×#481	C₂²	semidirect
81. C₂₉×#480	C₂²	semidirect
82. C₂₉×#478	C₂²	semidirect
83. C₂₉×#478	C₂²	semidirect
84. C₂₉×#476	C₂²	semidirect
85. C₂₉×#474	C₂²	semidirect
86. C₂₉×#470	C₂²	semidirect
87. C₂₉×#469	C₂²	semidirect
88. C₂₉×#468	C₂²	semidirect
89. C₂₉×#468	C₂²	semidirect
90. C₂₉×#467	C₂²	semidirect
91. C₂₉×#466	C₂²	semidirect
92. C₂₉×#465	C₂²	semidirect
93. C₂₉×#465	C₂²	semidirect
94. C₂₉×#464	C₂²	semidirect
95. C₂₉×#464	C₂²	semidirect
96. C₂₉×#463	C₂²	semidirect
97. C₂₉×#463	C₂²	semidirect
98. C₂₉×#452	C₂²	semidirect
99. C₂₉×#452	C₂²	semidirect
100. C₂₉×#450	C₂²	semidirect
101. C₂₉×#450	C₂²	semidirect
102. C₂₉×#449	C₂²	semidirect
103. C₂₉×#449	C₂²	semidirect
104. C₂₉×#447	C₂²	semidirect
105. C₂₉×#447	C₂²	semidirect
106. C₂₉×#442	C₂²	semidirect
107. C₂₉×#440	C₂²	semidirect
108. C₄×SD₁₆×C₂₉	C₂²	semidirect
109. C₄×D₈×C₂₉	C₂²	semidirect
110. C₂₉×#436	C₂²	semidirect
111. C₂₉×#435	C₂²	semidirect
112. C₂₉×#435	C₂²	semidirect
113. C₈×D₄×C₂₉	C₂²	semidirect
114. C₂₉×#428	C₂²	semidirect
115. C₂₉×#428	C₂²	semidirect
116. C₂₉×#428	C₂²	semidirect
117. C₂₉×#423	C₂²	semidirect
118. C₂₉×#419	C₂²	semidirect
119. C₂₉×#419	C₂²	semidirect
120. C₂₉×#419	C₂²	semidirect
127. C₂₉×#418	C₂²	semidirect
128. C₂₉×#418	C₂²	semidirect
129. C₂₉×#417	C₂²	semidirect
130. C₂₉×#417	C₂²	semidirect
131. C₂₉×#417	C₂²	semidirect
132. C₂₉×#416	C₂²	semidirect
133. C₂₉×#416	C₂²	semidirect
134. C₂×C₂₉×#102	C₂²	semidirect
135. C₂×C₂₉×#102	C₂²	semidirect
137. C₂₉×#407	C₂²	semidirect
138. C₄×M₁₆×C₂₉	C₂²	semidirect
168. C₂×Q₁₆×C₂₉	C₂³	semidirect
171. C₂×SD₁₆×C₂₉	C₂³	semidirect
181. C₂×M₁₆×C₂₉	C₂³	semidirect
183. C₂²×C₈×C₂₉	C₂³	semidirect
184. C₂₉×C₄⋊Q₈	C₂³	semidirect
185. C₂₉×C₄⋊Q₈	C₂³	semidirect
195. C₂₉×#125	C₂³	semidirect
196. C₂₉×#125	C₂³	semidirect
227. C₂₉×C₂²⋊Q₈	C₂³	semidirect
228. C₂₉×C₂²⋊Q₈	C₂³	semidirect
242. C₂₉×#121	C₂³	semidirect
243. C₂₉×#121	C₂³	semidirect
253. C₄×Q₈×C₂₉	C₂³	semidirect
254. C₄×Q₈×C₂₉	C₂³	semidirect
276. C₄×D₄×C₂₉	C₂³	semidirect
277. C₄×D₄×C₂₉	C₂³	semidirect
291. C₂₉×#117	C₂³	semidirect
292. C₂₉×#117	C₂³	semidirect
298. C₂×C₄⋊C₄×C₂₉	C₂³	semidirect
299. C₂×C₄⋊C₄×C₂₉	C₂³	semidirect
317. C₂₉×#107	C₂³	semidirect
318. C₂₉×#107	C₂³	semidirect
319. C₂₉×#107	C₂³	semidirect
320. C₂₉×#106	C₂³	semidirect
321. C₂₉×#106	C₂³	semidirect
322. C₂₉×#106	C₂³	semidirect
323. C₂₉×C₄⋊C₈	C₂³	semidirect
324. C₂₉×C₄⋊C₈	C₂³	semidirect
325. C₂₉×#103	C₂³	semidirect
326. C₂₉×#103	C₂³	semidirect
327. C₂₉×#103	C₂³	semidirect
328. C₂₉×#103	C₂³	semidirect
329. C₂₉×#103	C₂³	semidirect
330. C₂₉×#103	C₂³	semidirect
331. C₂₉×#103	C₂³	semidirect
344. C₂₉×#102	C₂³	semidirect
347. C₂₉×C₂²⋊C₈	C₂³	semidirect
348. C₂₉×C₂²⋊C₈	C₂³	semidirect
349. C₂₉×#97	C₂³	semidirect
350. C₄×C₈×C₂₉	C₂³	semidirect
406. C₂×D₄×C₂₉	#41	semidirect
538. #61156	C₂₉	direct (N × H)
650. #3475	C₂×C₂₉	semidirect
651. C₂×#546	C₂×C₂₉	semidirect
652. #3323	C₂×C₂₉	semidirect
653. #3322	C₂×C₂₉	semidirect
654. #3319	C₂×C₂₉	semidirect
655. #3314	C₂×C₂₉	semidirect
656. #3311	C₂×C₂₉	semidirect
657. #3306	C₂×C₂₉	semidirect
658. #3297	C₂×C₂₉	semidirect
659. #3296	C₂×C₂₉	semidirect
660. #3140	C₂×C₂₉	semidirect
661. #3095	C₂×C₂₉	semidirect
662. #3094	C₂×C₂₉	semidirect
663. #3077	C₂×C₂₉	semidirect
664. #3056	C₂×C₂₉	semidirect
665. #3055	C₂×C₂₉	semidirect
666. #3040	C₂×C₂₉	semidirect
667. #3005	C₂×C₂₉	semidirect
668. #3003	C₂×C₂₉	semidirect
669. C₄×AGL(1,ℤ/8)	C₂×C₂₉	semidirect
670. D₄×M₁₆	C₂×C₂₉	semidirect
671. #2896	C₂×C₂₉	semidirect
672. C₂×#418	C₂×C₂₉	semidirect
726. C₂×#137	C₂²×C₂₉	semidirect
730. C₂²×M₁₆	C₂²×C₂₉	semidirect
731. #556	C₂²×C₂₉	semidirect
732. #555	C₂²×C₂₉	semidirect
733. #554	C₂²×C₂₉	semidirect
734. #553	C₂²×C₂₉	semidirect
735. #553	C₂²×C₂₉	semidirect
737. #552	C₂²×C₂₉	semidirect
738. #552	C₂²×C₂₉	semidirect
741. #547	C₂²×C₂₉	semidirect
751. #533	C₂²×C₂₉	semidirect
757. #525	C₂²×C₂₉	semidirect
764. C₄×#41	C₂²×C₂₉	semidirect
768. C₂×#117	C₂²×C₂₉	semidirect
770. #489	C₂²×C₂₉	semidirect
771. #489	C₂²×C₂₉	semidirect
772. #488	C₂²×C₂₉	semidirect
773. #488	C₂²×C₂₉	semidirect
774. #485	C₂²×C₂₉	semidirect
775. #485	C₂²×C₂₉	semidirect
776. #484	C₂²×C₂₉	semidirect
777. #483	C₂²×C₂₉	semidirect
778. #482	C₂²×C₂₉	semidirect
779. #482	C₂²×C₂₉	semidirect
780. #481	C₂²×C₂₉	semidirect
781. #480	C₂²×C₂₉	semidirect
782. #478	C₂²×C₂₉	semidirect
783. #478	C₂²×C₂₉	semidirect
784. #476	C₂²×C₂₉	semidirect
785. #474	C₂²×C₂₉	semidirect
786. #470	C₂²×C₂₉	semidirect
787. #469	C₂²×C₂₉	semidirect
788. #468	C₂²×C₂₉	semidirect
789. #468	C₂²×C₂₉	semidirect
790. #467	C₂²×C₂₉	semidirect
791. #466	C₂²×C₂₉	semidirect
792. #465	C₂²×C₂₉	semidirect
793. #465	C₂²×C₂₉	semidirect
794. #464	C₂²×C₂₉	semidirect
795. #464	C₂²×C₂₉	semidirect
796. #463	C₂²×C₂₉	semidirect
797. #463	C₂²×C₂₉	semidirect
798. #452	C₂²×C₂₉	semidirect
799. #452	C₂²×C₂₉	semidirect
800. #450	C₂²×C₂₉	semidirect
801. #450	C₂²×C₂₉	semidirect
802. #449	C₂²×C₂₉	semidirect
803. #449	C₂²×C₂₉	semidirect
804. #447	C₂²×C₂₉	semidirect
805. #447	C₂²×C₂₉	semidirect
806. #442	C₂²×C₂₉	semidirect
807. #440	C₂²×C₂₉	semidirect
808. C₄×SD₁₆	C₂²×C₂₉	semidirect
809. C₄×D₈	C₂²×C₂₉	semidirect
810. #436	C₂²×C₂₉	semidirect
811. #435	C₂²×C₂₉	semidirect
812. #435	C₂²×C₂₉	semidirect
813. C₈×D₄	C₂²×C₂₉	semidirect
814. #428	C₂²×C₂₉	semidirect
815. #428	C₂²×C₂₉	semidirect
816. #428	C₂²×C₂₉	semidirect
817. #423	C₂²×C₂₉	semidirect
818. #419	C₂²×C₂₉	semidirect
819. #419	C₂²×C₂₉	semidirect
820. #419	C₂²×C₂₉	semidirect
827. #418	C₂²×C₂₉	semidirect
828. #418	C₂²×C₂₉	semidirect
829. #417	C₂²×C₂₉	semidirect
830. #417	C₂²×C₂₉	semidirect
831. #417	C₂²×C₂₉	semidirect
832. #416	C₂²×C₂₉	semidirect
833. #416	C₂²×C₂₉	semidirect
834. C₂×#102	C₂²×C₂₉	semidirect
835. C₂×#102	C₂²×C₂₉	semidirect
837. #407	C₂²×C₂₉	semidirect
838. C₄×M₁₆	C₂²×C₂₉	semidirect
879. C₂×Q₁₆	C₂³×C₂₉	semidirect
882. C₂×SD₁₆	C₂³×C₂₉	semidirect
892. C₂×M₁₆	C₂³×C₂₉	semidirect
894. C₂²×C₈	C₂³×C₂₉	semidirect
895. C₄⋊Q₈	C₂³×C₂₉	semidirect
896. C₄⋊Q₈	C₂³×C₂₉	semidirect
906. #125	C₂³×C₂₉	semidirect
907. #125	C₂³×C₂₉	semidirect
938. C₂²⋊Q₈	C₂³×C₂₉	semidirect
939. C₂²⋊Q₈	C₂³×C₂₉	semidirect
953. #121	C₂³×C₂₉	semidirect
954. #121	C₂³×C₂₉	semidirect
964. C₄×Q₈	C₂³×C₂₉	semidirect
965. C₄×Q₈	C₂³×C₂₉	semidirect
987. C₄×D₄	C₂³×C₂₉	semidirect
988. C₄×D₄	C₂³×C₂₉	semidirect
1002. #117	C₂³×C₂₉	semidirect
1003. #117	C₂³×C₂₉	semidirect
1009. C₂×C₄⋊C₄	C₂³×C₂₉	semidirect
1010. C₂×C₄⋊C₄	C₂³×C₂₉	semidirect
1028. #107	C₂³×C₂₉	semidirect
1029. #107	C₂³×C₂₉	semidirect
1030. #107	C₂³×C₂₉	semidirect
1031. #106	C₂³×C₂₉	semidirect
1032. #106	C₂³×C₂₉	semidirect
1033. #106	C₂³×C₂₉	semidirect
1034. C₄⋊C₈	C₂³×C₂₉	semidirect
1035. C₄⋊C₈	C₂³×C₂₉	semidirect
1036. #103	C₂³×C₂₉	semidirect
1037. #103	C₂³×C₂₉	semidirect
1038. #103	C₂³×C₂₉	semidirect
1039. #103	C₂³×C₂₉	semidirect
1040. #103	C₂³×C₂₉	semidirect
1041. #103	C₂³×C₂₉	semidirect
1042. #103	C₂³×C₂₉	semidirect
1055. #102	C₂³×C₂₉	semidirect
1058. C₂²⋊C₈	C₂³×C₂₉	semidirect
1059. C₂²⋊C₈	C₂³×C₂₉	semidirect
1060. #97	C₂³×C₂₉	semidirect
1061. C₄×C₈	C₂³×C₂₉	semidirect
1062. C₂₉	#61156	direct (N × H)
1118. C₂×D₄	#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×#3475	2
C₂×C₂₉×#546	2
C₂₉×#3323	2
C₂₉×#3322	2
C₂₉×#3319	2
C₂₉×#3314	2
C₂₉×#3311	2
C₂₉×#3306	2
C₂₉×#3297	2
C₂₉×#3296	2
C₂₉×#3140	2
C₂₉×#3095	2
C₂₉×#3094	2
C₂₉×#3077	2
C₂₉×#3056	2
C₂₉×#3055	2
C₂₉×#3040	2
C₂₉×#3005	2
C₂₉×#3003	2
C₄×C₂₉×AGL(1,ℤ/8)	2
D₄×M₁₆×C₂₉	2
C₂₉×#2896	2
C₂×C₂₉×#418	2
#61156	29

Subgroups — C29×#61156 #20356056

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61156 #20356056