Subgroups — C₂₉×#61571 #20356471

Order 7424.

2578 conjugacy classes of subgroups.

The subgroup lattice has 1002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3505	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄²×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3318	C₂	1	4	yes	maximal, complemented
4	C₂₉×#3310	C₂	1	4	yes	maximal, complemented
5	C₂₉×#3265	C₂	1	4	yes	maximal, complemented
6	C₂₉×#3264	C₂	1	4	yes	maximal, complemented
7	C₂₉×#3217	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3194	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3187	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3186	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3114	C₂	1	2	yes	maximal, complemented
12	C₂₉×#3003	C₂	1	2	yes	maximal, complemented
13	C₂×C₂₉×#450	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₂₉×#447	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#2973	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₂₉	—	2	1	no	—
17	C₂³×D₄×C₂₉	C₂²	1	1	yes	characteristic
18	C₂³×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
19	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
20	C₂²×SD₁₆×C₂₉	C₂²	1	2	yes	complemented
21	C₂²×D₈×C₂₉	C₂²	1	2	yes	complemented
22	C₂₉×#553	—	2	2	no	—
23	C₂₉×#553	C₂²	1	2	yes	complemented
24	C₂₉×#552	C₂²	1	2	yes	complemented
25	C₂₉×#551	—	2	2	no	—
26	C₂₉×#548	C₂²	1	2	yes	complemented
27	C₂₉×#546	C₂²	1	2	yes	complemented
28	D₄²×C₂₉	—	2	2	no	—
29	D₄²×C₂₉	—	2	2	no	—
30	D₄²×C₂₉	C₂²	1	4	yes	—
31	D₄²×C₂₉	C₂²	1	4	yes	complemented
32	C₂₉×#539	—	2	1	no	—
33	C₂₉×#538	—	2	1	no	—
34	C₂₉×#534	—	2	1	no	—
35	C₂×C₂₉×#127	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#529	C₂²	1	2	yes	complemented
37	C₂₉×#525	C₂²	1	2	yes	complemented
38	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂₉×#121	—	2	1	no	—
40	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic
41	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₂₉×#120	—	2	1	no	—
44	C₂×C₂₉×#120	—	2	1	no	—
45	C₂₉×#518	—	2	1	no	—
46	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
48	C₂₉×#496	C₂²	1	4	yes	complemented
49	C₂₉×#490	C₂²	1	4	yes	complemented
50	C₂₉×#483	C₂²	1	2	yes	complemented
51	C₂₉×#482	C₂²	1	4	yes	complemented
52	C₂₉×#481	C₂²	1	2	yes	complemented
53	C₂₉×#480	C₂²	1	2	yes	complemented
54	C₂₉×#480	C₂²	1	2	yes	complemented
55	C₂₉×#478	C₂²	1	4	yes	complemented
56	C₂₉×#469	C₂²	1	4	yes	complemented
57	C₂₉×#468	C₂²	1	4	yes	complemented
58	C₂₉×#466	C₂²	1	4	yes	complemented
59	C₂₉×#465	C₂²	1	4	yes	complemented
60	C₂₉×#463	C₂²	1	4	yes	complemented
61	C₂₉×#460	C₂²	1	4	yes	complemented
62	C₂₉×#459	C₂²	1	4	yes	complemented
63	C₂₉×#450	C₂²	1	2	yes	complemented
64	C₂₉×#450	C₂²	1	2	yes	complemented
65	C₂₉×#450	C₂²	1	2	yes	complemented
66	C₂₉×#450	C₂²	1	4	yes	complemented
67	C₂₉×#450	C₂²	1	4	yes	complemented
68	C₂₉×#449	C₂²	1	4	yes	complemented
69	C₂₉×#448	C₂²	1	2	yes	complemented
70	C₂₉×#447	C₂²	1	2	yes	—
71	C₂₉×#447	C₂²	1	2	yes	complemented
72	C₂₉×#447	C₂²	1	2	yes	complemented
73	C₂₉×#447	C₂²	1	2	yes	complemented
74	C₂₉×#447	C₂²	1	4	yes	complemented
75	C₂₉×#447	C₂²	1	4	yes	complemented
76	C₂₉×#442	C₂²	1	4	yes	complemented
77	C₂₉×#440	C₂²	1	4	yes	complemented
78	C₂₉×#435	C₂²	1	4	yes	complemented
79	C₂₉×#435	C₂²	1	4	yes	complemented
80	C₂₉×#432	C₂²	1	2	yes	complemented
81	C₂₉×#418	C₂²	1	4	yes	complemented
82	C₂×C₂₉×#102	C₂²	1	2	yes	complemented
83	C₂×C₂₉×#102	C₂²	1	2	yes	complemented
84	C₂₉×#407	C₂²	1	2	yes	complemented
85	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
87	C₂⁵×C₂₉	—	2	1	no	—
88	C₂⁵×C₂₉	—	2	1	no	—
89	C₂×#41×C₂₉	C₂³	1	2	yes	complemented
90	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic, complemented
91	C₂²×D₄×C₂₉	—	2	1	no	—
92	C₂²×D₄×C₂₉	—	2	1	no	—
93	C₂²×D₄×C₂₉	—	2	1	no	—
94	C₂²×D₄×C₂₉	—	2	4	no	—
95	C₂²×D₄×C₂₉	—	2	4	no	—
96	C₂²×D₄×C₂₉	—	2	1	no	—
97	C₂²×D₄×C₂₉	—	2	1	no	—
98	C₂²×D₄×C₂₉	—	2	1	no	—
99	C₂²×D₄×C₂₉	—	2	1	no	—
100	C₂²×D₄×C₂₉	—	2	1	no	—
101	C₂²×D₄×C₂₉	—	2	2	no	—
102	C₂²×D₄×C₂₉	—	2	1	no	—
103	C₂²×D₄×C₂₉	—	4	4	no	—
104	C₂²×D₄×C₂₉	—	4	4	no	—
105	C₂²×D₄×C₂₉	—	4	8	no	—
106	C₂²×D₄×C₂₉	D₄	1	1	yes	characteristic
107	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
108	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
109	C₂²×D₄×C₂₉	C₂³	1	4	yes	—
110	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
111	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
114	C₂³×C₄×C₂₉	—	2	1	no	—
115	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
117	C₂₉×AGL(1,ℤ/8)	—	4	8	no	—
118	C₂×SD₁₆×C₂₉	—	4	4	no	—
119	C₂×SD₁₆×C₂₉	C₂³	1	4	yes	—
120	C₂×SD₁₆×C₂₉	C₂³	1	4	yes	complemented
121	C₂×SD₁₆×C₂₉	C₂³	1	4	yes	complemented
122	C₂×D₈×C₂₉	—	4	4	no	—
123	C₂×D₈×C₂₉	C₂³	1	4	yes	—
124	C₂×D₈×C₂₉	C₂³	1	4	yes	complemented
125	C₂×D₈×C₂₉	C₂³	1	4	yes	complemented
126	C₂×M₁₆×C₂₉	C₂³	1	4	yes	complemented
127	C₂²×C₈×C₂₉	C₂³	1	2	yes	complemented
128	C₂²×C₈×C₂₉	C₂³	1	2	yes	complemented
129	C₂₉×#127	—	2	2	no	—
130	C₂₉×#127	C₂³	1	4	yes	—
131	C₂₉×#126	—	2	2	no	—
132	C₂₉×#126	—	2	2	no	—
133	C₂₉×#126	—	2	2	no	—
134	C₂₉×#125	—	2	2	no	—
135	C₂₉×#125	C₂³	1	2	yes	complemented
136	C₂₉×#124	—	2	2	no	—
137	C₂₉×#124	C₂³	1	2	yes	complemented
138	C₂₉×#123	—	2	2	no	—
139	C₂₉×#123	—	2	2	no	—
140	C₂₉×#123	—	2	2	no	—
141	C₂₉×#123	—	2	2	no	—
142	C₂₉×#123	—	2	2	no	—
143	C₂₉×C₂²⋊Q₈	—	2	1	no	—
144	C₂₉×C₂²⋊Q₈	—	2	1	no	—
145	C₂₉×C₂²⋊Q₈	—	2	2	no	—
146	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
147	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	complemented
148	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	complemented
149	C₂₉×#121	—	2	2	no	—
150	C₂₉×#121	—	2	2	no	—
151	C₂₉×#121	—	2	1	no	—
152	C₂₉×#121	—	2	1	no	—
153	C₂₉×#121	—	2	1	no	—
154	C₂₉×#121	—	2	2	no	—
155	C₂₉×#121	—	2	1	no	—
156	C₂₉×#121	—	2	4	no	—
157	C₂₉×#121	—	2	4	no	—
158	C₂₉×#121	—	2	2	no	—
159	C₂₉×#121	C₂³	1	2	yes	—
160	C₂₉×#121	C₂³	1	2	yes	—
161	C₂₉×#121	C₂³	1	2	yes	—
162	C₂₉×#121	C₂³	1	4	yes	—
163	C₂₉×#121	C₂³	1	2	yes	complemented
164	C₂₉×#121	C₂³	1	2	yes	complemented
165	C₂₉×#120	—	2	2	no	—
166	C₂₉×#120	—	2	2	no	—
167	C₂₉×#120	—	2	4	no	—
168	C₂₉×#120	—	2	4	no	—
169	C₂₉×#120	—	2	4	no	—
170	C₂₉×#120	—	2	4	no	—
171	C₄×Q₈×C₂₉	C₂³	1	2	yes	complemented
172	C₄×D₄×C₂₉	—	2	2	no	—
173	C₄×D₄×C₂₉	—	2	2	no	—
174	C₄×D₄×C₂₉	—	2	2	no	—
175	C₄×D₄×C₂₉	—	2	2	no	—
176	C₄×D₄×C₂₉	—	2	2	no	—
177	C₄×D₄×C₂₉	—	2	2	no	—
178	C₄×D₄×C₂₉	D₄	1	2	yes	—
179	C₄×D₄×C₂₉	D₄	1	2	yes	—
180	C₄×D₄×C₂₉	C₂³	1	4	yes	—
181	C₄×D₄×C₂₉	C₂³	1	2	yes	—
182	C₄×D₄×C₂₉	C₂³	1	2	yes	—
183	C₄×D₄×C₂₉	C₂³	1	2	yes	complemented
184	C₂₉×#117	—	2	2	no	—
185	C₂₉×#117	—	2	2	no	—
186	C₂₉×#117	C₂³	1	2	yes	complemented
187	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
188	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
192	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
193	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
194	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
195	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
196	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
197	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
198	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
200	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
201	C₂₉×#107	C₂³	1	4	yes	complemented
202	C₂₉×#106	C₂³	1	4	yes	complemented
203	C₂₉×C₄⋊C₈	C₂³	1	4	yes	complemented
204	C₂₉×#103	C₂³	1	4	yes	complemented
205	C₂₉×#102	C₂³	1	4	yes	—
206	C₂₉×#102	C₂³	1	4	yes	—
207	C₂₉×#102	C₂³	1	4	yes	complemented
208	C₂₉×#102	C₂³	1	4	yes	complemented
209	C₂₉×#102	C₂³	1	4	yes	complemented
210	C₂₉×#102	C₂³	1	4	yes	complemented
211	C₂₉×#102	C₂³	1	4	yes	complemented
212	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
213	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
214	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	complemented
215	C₂₉×C₂²⋊C₈	C₂³	1	4	yes	complemented
216	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	complemented
217	C₂₉×#97	C₂³	1	4	yes	complemented
218	C₂⁴×C₂₉	—	2	1	no	—
219	C₂⁴×C₂₉	—	2	1	no	—
220	C₂⁴×C₂₉	—	2	1	no	—
221	C₂⁴×C₂₉	—	2	4	no	—
222	C₂⁴×C₂₉	—	2	2	no	—
223	C₂⁴×C₂₉	—	2	2	no	—
224	C₂⁴×C₂₉	—	2	1	no	—
225	C₂⁴×C₂₉	—	4	4	no	—
226	C₂⁴×C₂₉	—	4	4	no	—
227	C₂⁴×C₂₉	—	4	4	no	—
228	C₂⁴×C₂₉	—	4	4	no	—
229	C₂⁴×C₂₉	—	8	2	no	—
230	C₂⁴×C₂₉	—	8	2	no	—
231	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
232	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
233	#41×C₂₉	—	4	4	no	—
234	C₂×Q₈×C₂₉	—	2	1	no	—
235	C₂×Q₈×C₂₉	—	4	2	no	—
236	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
237	C₂×D₄×C₂₉	—	2	4	no	—
238	C₂×D₄×C₂₉	—	2	4	no	—
239	C₂×D₄×C₂₉	—	2	4	no	—
240	C₂×D₄×C₂₉	—	2	4	no	—
241	C₂×D₄×C₂₉	—	2	8	no	—
242	C₂×D₄×C₂₉	—	2	2	no	—
243	C₂×D₄×C₂₉	—	2	2	no	—
244	C₂×D₄×C₂₉	—	2	4	no	—
245	C₂×D₄×C₂₉	—	2	2	no	—
246	C₂×D₄×C₂₉	—	2	2	no	—
247	C₂×D₄×C₂₉	—	2	2	no	—
248	C₂×D₄×C₂₉	—	2	2	no	—
249	C₂×D₄×C₂₉	—	2	1	no	—
250	C₂×D₄×C₂₉	—	2	4	no	—
251	C₂×D₄×C₂₉	—	2	2	no	—
252	C₂×D₄×C₂₉	—	2	2	no	—
253	C₂×D₄×C₂₉	—	2	1	no	—
254	C₂×D₄×C₂₉	—	2	1	no	—
255	C₂×D₄×C₂₉	—	2	4	no	—
256	C₂×D₄×C₂₉	—	2	4	no	—
257	C₂×D₄×C₂₉	—	2	1	no	—
258	C₂×D₄×C₂₉	—	4	2	no	—
259	C₂×D₄×C₂₉	—	4	2	no	—
260	C₂×D₄×C₂₉	—	4	4	no	—
261	C₂×D₄×C₂₉	—	4	2	no	—
262	C₂×D₄×C₂₉	—	4	2	no	—
263	C₂×D₄×C₂₉	—	4	2	no	—
264	C₂×D₄×C₂₉	—	4	4	no	—
265	C₂×D₄×C₂₉	—	4	4	no	—
266	C₂×D₄×C₂₉	—	4	4	no	—
267	C₂×D₄×C₂₉	—	4	8	no	—
268	C₂×D₄×C₂₉	—	4	16	no	—
269	C₂×D₄×C₂₉	—	4	16	no	—
270	C₂×D₄×C₂₉	—	4	4	no	—
271	C₂×D₄×C₂₉	—	4	4	no	—
272	C₂×D₄×C₂₉	—	4	4	no	—
273	C₂×D₄×C₂₉	—	4	4	no	—
274	C₂×D₄×C₂₉	—	4	4	no	—
275	C₂×D₄×C₂₉	—	8	2	no	—
276	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
277	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
278	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
279	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
280	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
281	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₂₉	—	2	1	no	—
283	C₂²×C₄×C₂₉	—	2	1	no	—
284	C₂²×C₄×C₂₉	—	2	1	no	—
285	C₂²×C₄×C₂₉	—	2	1	no	—
286	C₂²×C₄×C₂₉	—	2	4	no	—
287	C₂²×C₄×C₂₉	—	2	2	no	—
288	C₂²×C₄×C₂₉	—	2	2	no	—
289	C₂²×C₄×C₂₉	—	4	2	no	—
290	C₂²×C₄×C₂₉	—	4	2	no	—
291	C₂²×C₄×C₂₉	—	4	4	no	—
292	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
293	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
294	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
295	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
296	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
297	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
298	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
299	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
303	SD₁₆×C₂₉	—	2	8	no	—
304	SD₁₆×C₂₉	—	4	4	no	—
305	SD₁₆×C₂₉	—	4	4	no	—
306	D₈×C₂₉	—	2	8	no	—
307	D₈×C₂₉	—	4	4	no	—
308	D₈×C₂₉	—	4	4	no	—
309	M₁₆×C₂₉	—	4	4	no	—
310	C₂×C₈×C₂₉	—	4	2	no	—
311	C₂×C₈×C₂₉	—	4	2	no	—
312	C₂×C₈×C₂₉	C₂⁴	1	4	yes	—
313	C₂×C₈×C₂₉	C₂⁴	1	4	yes	—
314	C₄⋊C₄×C₂₉	—	2	2	no	—
315	C₄⋊C₄×C₂₉	—	2	2	no	—
316	C₄⋊C₄×C₂₉	—	2	1	no	—
317	C₄⋊C₄×C₂₉	—	2	1	no	—
318	C₄⋊C₄×C₂₉	—	2	1	no	—
319	C₄⋊C₄×C₂₉	—	2	2	no	—
320	C₄⋊C₄×C₂₉	—	2	2	no	—
321	C₄⋊C₄×C₂₉	—	2	2	no	—
322	C₄⋊C₄×C₂₉	—	2	2	no	—
323	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
324	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
325	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
326	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
327	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
328	C₂²⋊C₄×C₂₉	—	2	2	no	—
329	C₂²⋊C₄×C₂₉	—	2	2	no	—
330	C₂²⋊C₄×C₂₉	—	2	2	no	—
331	C₂²⋊C₄×C₂₉	—	2	2	no	—
332	C₂²⋊C₄×C₂₉	—	2	2	no	—
333	C₂²⋊C₄×C₂₉	—	2	2	no	—
334	C₂²⋊C₄×C₂₉	—	2	2	no	—
335	C₂²⋊C₄×C₂₉	—	2	4	no	—
336	C₂²⋊C₄×C₂₉	—	2	4	no	—
337	C₂²⋊C₄×C₂₉	—	2	2	no	—
338	C₂²⋊C₄×C₂₉	—	2	2	no	—
339	C₂²⋊C₄×C₂₉	—	2	2	no	—
340	C₂²⋊C₄×C₂₉	—	2	2	no	—
341	C₂²⋊C₄×C₂₉	—	2	2	no	—
342	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
343	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
344	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
345	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
346	C₄²×C₂₉	—	2	2	no	—
347	C₄²×C₂₉	—	2	2	no	—
348	C₄²×C₂₉	C₂×D₄	1	2	yes	—
349	C₄²×C₂₉	C₂⁴	1	2	yes	—
350	#61571	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
351	C₂³×C₂₉	—	2	4	no	—
352	C₂³×C₂₉	—	2	2	no	—
353	C₂³×C₂₉	—	2	2	no	—
354	C₂³×C₂₉	—	2	2	no	—
355	C₂³×C₂₉	—	2	2	no	—
356	C₂³×C₂₉	—	2	2	no	—
357	C₂³×C₂₉	—	4	1	no	—
358	C₂³×C₂₉	—	4	1	no	—
359	C₂³×C₂₉	—	4	1	no	—
360	C₂³×C₂₉	—	4	1	no	—
361	C₂³×C₂₉	—	4	4	no	—
362	C₂³×C₂₉	—	4	4	no	—
363	C₂³×C₂₉	—	4	8	no	—
364	C₂³×C₂₉	—	4	2	no	—
365	C₂³×C₂₉	—	4	2	no	—
366	C₂³×C₂₉	—	4	2	no	—
367	C₂³×C₂₉	—	4	8	no	—
368	C₂³×C₂₉	—	4	2	no	—
369	C₂³×C₂₉	—	4	2	no	—
370	C₂³×C₂₉	—	4	2	no	—
371	C₂³×C₂₉	—	4	4	no	—
372	C₂³×C₂₉	—	4	4	no	—
373	C₂³×C₂₉	—	4	2	no	—
374	C₂³×C₂₉	—	4	2	no	—
375	C₂³×C₂₉	—	4	2	no	—
376	C₂³×C₂₉	—	8	2	no	—
377	C₂³×C₂₉	—	8	2	no	—
378	C₂³×C₂₉	—	8	4	no	—
379	C₂³×C₂₉	—	8	1	no	—
380	C₂³×C₂₉	—	8	1	no	—
381	C₂³×C₂₉	—	8	16	no	—
382	C₂³×C₂₉	—	8	16	no	—
383	C₂³×C₂₉	AGL(1,ℤ/8)	1	4	yes	complemented
384	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
385	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
386	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
387	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
388	Q₈×C₂₉	—	2	4	no	—
389	Q₈×C₂₉	—	8	1	no	—
390	D₄×C₂₉	—	2	4	no	—
391	D₄×C₂₉	—	2	4	no	—
392	D₄×C₂₉	—	2	4	no	—
393	D₄×C₂₉	—	2	2	no	—
394	D₄×C₂₉	—	2	4	no	—
395	D₄×C₂₉	—	2	2	no	—
396	D₄×C₂₉	—	2	4	no	—
397	D₄×C₂₉	—	2	2	no	—
398	D₄×C₂₉	—	4	8	no	—
399	D₄×C₂₉	—	4	4	no	—
400	D₄×C₂₉	—	4	4	no	—
401	D₄×C₂₉	—	4	2	no	—
402	D₄×C₂₉	—	4	2	no	—
403	D₄×C₂₉	—	4	8	no	—
404	D₄×C₂₉	—	4	8	no	—
405	D₄×C₂₉	—	4	4	no	—
406	D₄×C₂₉	—	4	4	no	—
407	D₄×C₂₉	—	4	4	no	—
408	D₄×C₂₉	—	4	4	no	—
409	D₄×C₂₉	—	8	1	no	—
410	D₄×C₂₉	—	8	4	no	—
411	D₄×C₂₉	—	8	2	no	—
412	D₄×C₂₉	—	8	2	no	—
413	D₄×C₂₉	H(5,𝔽₂)	1	4	yes	—
414	C₂×C₄×C₂₉	—	2	2	no	—
415	C₂×C₄×C₂₉	—	2	2	no	—
416	C₂×C₄×C₂₉	—	2	2	no	—
417	C₂×C₄×C₂₉	—	2	4	no	—
418	C₂×C₄×C₂₉	—	2	2	no	—
419	C₂×C₄×C₂₉	—	2	2	no	—
420	C₂×C₄×C₂₉	—	2	2	no	—
421	C₂×C₄×C₂₉	—	2	2	no	—
422	C₂×C₄×C₂₉	—	2	2	no	—
423	C₂×C₄×C₂₉	—	4	2	no	—
424	C₂×C₄×C₂₉	—	4	1	no	—
425	C₂×C₄×C₂₉	—	4	1	no	—
426	C₂×C₄×C₂₉	—	4	1	no	—
427	C₂×C₄×C₂₉	—	4	1	no	—
428	C₂×C₄×C₂₉	—	4	1	no	—
429	C₂×C₄×C₂₉	—	4	8	no	—
430	C₂×C₄×C₂₉	—	4	2	no	—
431	C₂×C₄×C₂₉	—	4	2	no	—
432	C₂×C₄×C₂₉	—	8	2	no	—
433	C₂×C₄×C₂₉	—	8	2	no	—
434	C₂×C₄×C₂₉	—	8	1	no	—
435	C₂×C₄×C₂₉	—	8	1	no	—
436	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
437	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
438	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
439	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
440	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
441	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
442	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
443	C₈×C₂₉	—	2	4	no	—
444	C₈×C₂₉	—	2	4	no	—
445	#3505	C₂×C₂₉	1	1	yes	characteristic, complemented
446	C₂×D₄²	C₂×C₂₉	1	1	yes	characteristic, complemented
447	#3318	C₂×C₂₉	1	4	yes	complemented
448	#3310	C₂×C₂₉	1	4	yes	complemented
449	#3265	C₂×C₂₉	1	4	yes	complemented
450	#3264	C₂×C₂₉	1	4	yes	complemented
451	#3217	C₂×C₂₉	1	2	yes	complemented
452	#3194	C₂×C₂₉	1	2	yes	complemented
453	#3187	C₂×C₂₉	1	1	yes	characteristic, complemented
454	#3186	C₂×C₂₉	1	1	yes	characteristic, complemented
455	#3114	C₂×C₂₉	1	2	yes	complemented
456	#3003	C₂×C₂₉	1	2	yes	complemented
457	C₂×#450	C₂×C₂₉	1	1	yes	characteristic, complemented
458	C₂×#447	C₂×C₂₉	1	1	yes	characteristic, complemented
459	#2973	C₂×C₂₉	1	1	yes	characteristic, complemented
460	C₂²×C₂₉	—	2	1	no	—
461	C₂²×C₂₉	—	2	1	no	—
462	C₂²×C₂₉	—	2	1	no	—
463	C₂²×C₂₉	—	2	1	no	—
464	C₂²×C₂₉	—	2	1	no	—
465	C₂²×C₂₉	—	2	1	no	—
466	C₂²×C₂₉	—	2	2	no	—
467	C₂²×C₂₉	—	2	2	no	—
468	C₂²×C₂₉	—	2	4	no	—
469	C₂²×C₂₉	—	2	2	no	—
470	C₂²×C₂₉	—	4	4	no	—
471	C₂²×C₂₉	—	4	4	no	—
472	C₂²×C₂₉	—	4	8	no	—
473	C₂²×C₂₉	—	4	2	no	—
474	C₂²×C₂₉	—	4	2	no	—
475	C₂²×C₂₉	—	4	2	no	—
476	C₂²×C₂₉	—	4	2	no	—
477	C₂²×C₂₉	—	4	2	no	—
478	C₂²×C₂₉	—	4	2	no	—
479	C₂²×C₂₉	—	4	2	no	—
480	C₂²×C₂₉	—	4	2	no	—
481	C₂²×C₂₉	—	4	2	no	—
482	C₂²×C₂₉	—	4	2	no	—
483	C₂²×C₂₉	—	4	2	no	—
484	C₂²×C₂₉	—	8	8	no	—
485	C₂²×C₂₉	—	8	8	no	—
486	C₂²×C₂₉	—	8	4	no	—
487	C₂²×C₂₉	—	8	4	no	—
488	C₂²×C₂₉	—	8	16	no	—
489	C₂²×C₂₉	—	16	2	no	—
490	C₂²×C₂₉	C₂×AGL(1,ℤ/8)	1	2	yes	—
491	C₂²×C₂₉	C₂×AGL(1,ℤ/8)	1	2	yes	—
492	C₂²×C₂₉	C₂×AGL(1,ℤ/8)	1	2	yes	—
493	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
494	C₄×C₂₉	—	2	2	no	—
495	C₄×C₂₉	—	2	1	no	—
496	C₄×C₂₉	—	2	2	no	—
497	C₄×C₂₉	—	2	1	no	—
498	C₄×C₂₉	—	2	1	no	—
499	C₄×C₂₉	—	2	2	no	—
500	C₄×C₂₉	—	4	2	no	—
501	C₄×C₂₉	—	4	2	no	—
502	C₄×C₂₉	—	4	2	no	—
503	C₄×C₂₉	—	4	2	no	—
504	C₄×C₂₉	C₂×H(5,𝔽₂)	1	2	yes	—
505	C₂³×D₄	—	2	1	no	—
506	C₂³×D₄	C₂²×C₂₉	1	1	yes	characteristic
507	C₂³×D₄	C₂²×C₂₉	1	1	yes	characteristic, complemented
508	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	4	yes	complemented
509	C₂²×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
510	C₂²×D₈	C₂²×C₂₉	1	2	yes	complemented
511	#553	—	2	2	no	—
512	#553	C₂²×C₂₉	1	2	yes	complemented
513	#552	C₂²×C₂₉	1	2	yes	complemented
514	#551	—	2	2	no	—
515	#548	C₂²×C₂₉	1	2	yes	complemented
516	#546	C₂²×C₂₉	1	2	yes	complemented
517	D₄²	—	2	2	no	—
518	D₄²	—	2	2	no	—
519	D₄²	C₂²×C₂₉	1	4	yes	—
520	D₄²	C₂²×C₂₉	1	4	yes	complemented
521	#539	—	2	1	no	—
522	#538	—	2	1	no	—
523	#534	—	2	1	no	—
524	C₂×#127	C₂²×C₂₉	1	1	yes	characteristic, complemented
525	#529	C₂²×C₂₉	1	2	yes	complemented
526	#525	C₂²×C₂₉	1	2	yes	complemented
527	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
528	C₂×#121	—	2	1	no	—
529	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic
530	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic, complemented
531	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic, complemented
532	C₂×#120	—	2	1	no	—
533	C₂×#120	—	2	1	no	—
534	#518	—	2	1	no	—
535	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
536	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic, complemented
537	#496	C₂²×C₂₉	1	4	yes	complemented
538	#490	C₂²×C₂₉	1	4	yes	complemented
539	#483	C₂²×C₂₉	1	2	yes	complemented
540	#482	C₂²×C₂₉	1	4	yes	complemented
541	#481	C₂²×C₂₉	1	2	yes	complemented
542	#480	C₂²×C₂₉	1	2	yes	complemented
543	#480	C₂²×C₂₉	1	2	yes	complemented
544	#478	C₂²×C₂₉	1	4	yes	complemented
545	#469	C₂²×C₂₉	1	4	yes	complemented
546	#468	C₂²×C₂₉	1	4	yes	complemented
547	#466	C₂²×C₂₉	1	4	yes	complemented
548	#465	C₂²×C₂₉	1	4	yes	complemented
549	#463	C₂²×C₂₉	1	4	yes	complemented
550	#460	C₂²×C₂₉	1	4	yes	complemented
551	#459	C₂²×C₂₉	1	4	yes	complemented
552	#450	C₂²×C₂₉	1	2	yes	complemented
553	#450	C₂²×C₂₉	1	2	yes	complemented
554	#450	C₂²×C₂₉	1	2	yes	complemented
555	#450	C₂²×C₂₉	1	4	yes	complemented
556	#450	C₂²×C₂₉	1	4	yes	complemented
557	#449	C₂²×C₂₉	1	4	yes	complemented
558	#448	C₂²×C₂₉	1	2	yes	complemented
559	#447	C₂²×C₂₉	1	2	yes	—
560	#447	C₂²×C₂₉	1	2	yes	complemented
561	#447	C₂²×C₂₉	1	2	yes	complemented
562	#447	C₂²×C₂₉	1	4	yes	complemented
563	#447	C₂²×C₂₉	1	4	yes	complemented
564	#447	C₂²×C₂₉	1	2	yes	complemented
565	#442	C₂²×C₂₉	1	4	yes	complemented
566	#440	C₂²×C₂₉	1	4	yes	complemented
567	#435	C₂²×C₂₉	1	4	yes	complemented
568	#435	C₂²×C₂₉	1	4	yes	complemented
569	#432	C₂²×C₂₉	1	2	yes	complemented
570	#418	C₂²×C₂₉	1	4	yes	complemented
571	C₂×#102	C₂²×C₂₉	1	2	yes	complemented
572	C₂×#102	C₂²×C₂₉	1	2	yes	complemented
573	#407	C₂²×C₂₉	1	2	yes	complemented
574	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
575	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
576	C₂×C₂₉	—	2	2	no	—
577	C₂×C₂₉	—	2	2	no	—
578	C₂×C₂₉	—	2	2	no	—
579	C₂×C₂₉	—	4	2	no	—
580	C₂×C₂₉	—	4	4	no	—
581	C₂×C₂₉	—	8	2	no	—
582	C₂×C₂₉	—	8	2	no	—
583	C₂×C₂₉	—	8	2	no	—
584	C₂×C₂₉	#3484	1	1	yes	characteristic
585	C₂×C₂₉	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
586	C₂×C₂₉	#3585	1	1	yes	characteristic
587	C₂⁵	—	2	1	no	—
588	C₂⁵	—	2	1	no	—
589	C₂×#41	C₂³×C₂₉	1	2	yes	complemented
590	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic, complemented
591	C₂²×D₄	—	2	1	no	—
592	C₂²×D₄	—	2	1	no	—
593	C₂²×D₄	—	2	1	no	—
594	C₂²×D₄	—	2	4	no	—
595	C₂²×D₄	—	2	4	no	—
596	C₂²×D₄	—	2	1	no	—
597	C₂²×D₄	—	2	1	no	—
598	C₂²×D₄	—	2	1	no	—
599	C₂²×D₄	—	2	1	no	—
600	C₂²×D₄	—	2	1	no	—
601	C₂²×D₄	—	2	2	no	—
602	C₂²×D₄	—	2	1	no	—
603	C₂²×D₄	—	4	4	no	—
604	C₂²×D₄	—	4	4	no	—
605	C₂²×D₄	—	4	8	no	—
606	C₂²×D₄	D₄×C₂₉	1	1	yes	characteristic
607	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
608	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
609	C₂²×D₄	C₂³×C₂₉	1	4	yes	—
610	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
611	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
612	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
613	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
614	C₂³×C₄	—	2	1	no	—
615	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
617	AGL(1,ℤ/8)	—	4	8	no	—
618	C₂×SD₁₆	—	4	4	no	—
619	C₂×SD₁₆	C₂³×C₂₉	1	4	yes	—
620	C₂×SD₁₆	C₂³×C₂₉	1	4	yes	complemented
621	C₂×SD₁₆	C₂³×C₂₉	1	4	yes	complemented
622	C₂×D₈	—	4	4	no	—
623	C₂×D₈	C₂³×C₂₉	1	4	yes	—
624	C₂×D₈	C₂³×C₂₉	1	4	yes	complemented
625	C₂×D₈	C₂³×C₂₉	1	4	yes	complemented
626	C₂×M₁₆	C₂³×C₂₉	1	4	yes	complemented
627	C₂²×C₈	C₂³×C₂₉	1	2	yes	complemented
628	C₂²×C₈	C₂³×C₂₉	1	2	yes	complemented
629	#127	—	2	2	no	—
630	#127	C₂³×C₂₉	1	4	yes	—
631	#126	—	2	2	no	—
632	#126	—	2	2	no	—
633	#126	—	2	2	no	—
634	#125	—	2	2	no	—
635	#125	C₂³×C₂₉	1	2	yes	complemented
636	#124	—	2	2	no	—
637	#124	C₂³×C₂₉	1	2	yes	complemented
638	#123	—	2	2	no	—
639	#123	—	2	2	no	—
640	#123	—	2	2	no	—
641	#123	—	2	2	no	—
642	#123	—	2	2	no	—
643	C₂²⋊Q₈	—	2	1	no	—
644	C₂²⋊Q₈	—	2	1	no	—
645	C₂²⋊Q₈	—	2	2	no	—
646	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
647	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	complemented
648	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	complemented
649	#121	—	2	2	no	—
650	#121	—	2	2	no	—
651	#121	—	2	1	no	—
652	#121	—	2	1	no	—
653	#121	—	2	1	no	—
654	#121	—	2	2	no	—
655	#121	—	2	1	no	—
656	#121	—	2	4	no	—
657	#121	—	2	4	no	—
658	#121	—	2	2	no	—
659	#121	C₂³×C₂₉	1	2	yes	—
660	#121	C₂³×C₂₉	1	2	yes	—
661	#121	C₂³×C₂₉	1	2	yes	—
662	#121	C₂³×C₂₉	1	4	yes	—
663	#121	C₂³×C₂₉	1	2	yes	complemented
664	#121	C₂³×C₂₉	1	2	yes	complemented
665	#120	—	2	2	no	—
666	#120	—	2	2	no	—
667	#120	—	2	4	no	—
668	#120	—	2	4	no	—
669	#120	—	2	4	no	—
670	#120	—	2	4	no	—
671	C₄×Q₈	C₂³×C₂₉	1	2	yes	complemented
672	C₄×D₄	—	2	2	no	—
673	C₄×D₄	—	2	2	no	—
674	C₄×D₄	—	2	2	no	—
675	C₄×D₄	—	2	2	no	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	2	no	—
678	C₄×D₄	D₄×C₂₉	1	2	yes	—
679	C₄×D₄	D₄×C₂₉	1	2	yes	—
680	C₄×D₄	C₂³×C₂₉	1	4	yes	—
681	C₄×D₄	C₂³×C₂₉	1	2	yes	—
682	C₄×D₄	C₂³×C₂₉	1	2	yes	—
683	C₄×D₄	C₂³×C₂₉	1	2	yes	complemented
684	#117	—	2	2	no	—
685	#117	—	2	2	no	—
686	#117	C₂³×C₂₉	1	2	yes	complemented
687	C₂×C₄⋊C₄	—	2	1	no	—
688	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
691	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic, complemented
692	C₂×C₂²⋊C₄	—	2	1	no	—
693	C₂×C₂²⋊C₄	—	2	1	no	—
694	C₂×C₂²⋊C₄	—	2	1	no	—
695	C₂×C₂²⋊C₄	—	2	1	no	—
696	C₂×C₂²⋊C₄	—	2	1	no	—
697	C₂×C₂²⋊C₄	—	2	2	no	—
698	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
700	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
701	#107	C₂³×C₂₉	1	4	yes	complemented
702	#106	C₂³×C₂₉	1	4	yes	complemented
703	C₄⋊C₈	C₂³×C₂₉	1	4	yes	complemented
704	#103	C₂³×C₂₉	1	4	yes	complemented
705	#102	C₂³×C₂₉	1	4	yes	—
706	#102	C₂³×C₂₉	1	4	yes	—
707	#102	C₂³×C₂₉	1	4	yes	complemented
708	#102	C₂³×C₂₉	1	4	yes	complemented
709	#102	C₂³×C₂₉	1	4	yes	complemented
710	#102	C₂³×C₂₉	1	4	yes	complemented
711	#102	C₂³×C₂₉	1	4	yes	complemented
712	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
713	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
714	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	complemented
715	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	complemented
716	C₂²⋊C₈	C₂³×C₂₉	1	4	yes	complemented
717	#97	C₂³×C₂₉	1	4	yes	complemented
718	C₂₉	#61571	1	1	yes	characteristic, direct product factor, Sylow
719	C₂⁴	—	2	1	no	—
720	C₂⁴	—	2	1	no	—
721	C₂⁴	—	2	1	no	—
722	C₂⁴	—	2	4	no	—
723	C₂⁴	—	2	2	no	—
724	C₂⁴	—	2	2	no	—
725	C₂⁴	—	2	1	no	—
726	C₂⁴	—	4	4	no	—
727	C₂⁴	—	4	4	no	—
728	C₂⁴	—	4	4	no	—
729	C₂⁴	—	4	4	no	—
730	C₂⁴	—	8	2	no	—
731	C₂⁴	—	8	2	no	—
732	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
733	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
734	#41	—	4	4	no	—
735	C₂×Q₈	—	2	1	no	—
736	C₂×Q₈	—	4	2	no	—
737	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	8	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	4	no	—
746	C₂×D₄	—	2	2	no	—
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	2	no	—
750	C₂×D₄	—	2	1	no	—
751	C₂×D₄	—	2	4	no	—
752	C₂×D₄	—	2	2	no	—
753	C₂×D₄	—	2	2	no	—
754	C₂×D₄	—	2	1	no	—
755	C₂×D₄	—	2	1	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	1	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	4	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	4	no	—
766	C₂×D₄	—	4	4	no	—
767	C₂×D₄	—	4	4	no	—
768	C₂×D₄	—	4	8	no	—
769	C₂×D₄	—	4	16	no	—
770	C₂×D₄	—	4	16	no	—
771	C₂×D₄	—	4	4	no	—
772	C₂×D₄	—	4	4	no	—
773	C₂×D₄	—	4	4	no	—
774	C₂×D₄	—	4	4	no	—
775	C₂×D₄	—	4	4	no	—
776	C₂×D₄	—	8	2	no	—
777	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
778	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
779	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
780	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
781	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
782	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
783	C₂²×C₄	—	2	1	no	—
784	C₂²×C₄	—	2	1	no	—
785	C₂²×C₄	—	2	1	no	—
786	C₂²×C₄	—	2	1	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	—	4	4	no	—
793	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
794	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
795	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
796	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
797	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
798	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
799	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
800	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
804	SD₁₆	—	2	8	no	—
805	SD₁₆	—	4	4	no	—
806	SD₁₆	—	4	4	no	—
807	D₈	—	2	8	no	—
808	D₈	—	4	4	no	—
809	D₈	—	4	4	no	—
810	M₁₆	—	4	4	no	—
811	C₂×C₈	—	4	2	no	—
812	C₂×C₈	—	4	2	no	—
813	C₂×C₈	C₂⁴×C₂₉	1	4	yes	—
814	C₂×C₈	C₂⁴×C₂₉	1	4	yes	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	1	no	—
818	C₄⋊C₄	—	2	1	no	—
819	C₄⋊C₄	—	2	1	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	2	no	—
822	C₄⋊C₄	—	2	2	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
825	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
826	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
827	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
828	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	2	no	—
832	C₂²⋊C₄	—	2	2	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	2	no	—
835	C₂²⋊C₄	—	2	2	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
844	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
845	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
846	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
847	C₄²	—	2	2	no	—
848	C₄²	—	2	2	no	—
849	C₄²	C₂×D₄×C₂₉	1	2	yes	—
850	C₄²	C₂⁴×C₂₉	1	2	yes	—
851	C₂³	—	2	4	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	4	1	no	—
858	C₂³	—	4	1	no	—
859	C₂³	—	4	1	no	—
860	C₂³	—	4	1	no	—
861	C₂³	—	4	4	no	—
862	C₂³	—	4	4	no	—
863	C₂³	—	4	8	no	—
864	C₂³	—	4	2	no	—
865	C₂³	—	4	2	no	—
866	C₂³	—	4	2	no	—
867	C₂³	—	4	8	no	—
868	C₂³	—	4	2	no	—
869	C₂³	—	4	2	no	—
870	C₂³	—	4	2	no	—
871	C₂³	—	4	4	no	—
872	C₂³	—	4	4	no	—
873	C₂³	—	4	2	no	—
874	C₂³	—	4	2	no	—
875	C₂³	—	4	2	no	—
876	C₂³	—	8	2	no	—
877	C₂³	—	8	2	no	—
878	C₂³	—	8	4	no	—
879	C₂³	—	8	1	no	—
880	C₂³	—	8	1	no	—
881	C₂³	—	8	16	no	—
882	C₂³	—	8	16	no	—
883	C₂³	C₂₉×AGL(1,ℤ/8)	1	4	yes	complemented
884	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
885	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
886	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
887	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
888	Q₈	—	2	4	no	—
889	Q₈	—	8	1	no	—
890	D₄	—	2	4	no	—
891	D₄	—	2	4	no	—
892	D₄	—	2	4	no	—
893	D₄	—	2	2	no	—
894	D₄	—	2	4	no	—
895	D₄	—	2	2	no	—
896	D₄	—	2	4	no	—
897	D₄	—	2	2	no	—
898	D₄	—	4	8	no	—
899	D₄	—	4	4	no	—
900	D₄	—	4	4	no	—
901	D₄	—	4	2	no	—
902	D₄	—	4	2	no	—
903	D₄	—	4	8	no	—
904	D₄	—	4	8	no	—
905	D₄	—	4	4	no	—
906	D₄	—	4	4	no	—
907	D₄	—	4	4	no	—
908	D₄	—	4	4	no	—
909	D₄	—	8	1	no	—
910	D₄	—	8	4	no	—
911	D₄	—	8	2	no	—
912	D₄	—	8	2	no	—
913	D₄	C₂₉×H(5,𝔽₂)	1	4	yes	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	4	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	4	2	no	—
924	C₂×C₄	—	4	1	no	—
925	C₂×C₄	—	4	1	no	—
926	C₂×C₄	—	4	1	no	—
927	C₂×C₄	—	4	1	no	—
928	C₂×C₄	—	4	1	no	—
929	C₂×C₄	—	4	8	no	—
930	C₂×C₄	—	4	2	no	—
931	C₂×C₄	—	4	2	no	—
932	C₂×C₄	—	8	2	no	—
933	C₂×C₄	—	8	2	no	—
934	C₂×C₄	—	8	1	no	—
935	C₂×C₄	—	8	1	no	—
936	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
937	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
938	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
939	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
940	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
941	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
942	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
943	C₈	—	2	4	no	—
944	C₈	—	2	4	no	—
945	C₂²	—	2	1	no	—
946	C₂²	—	2	1	no	—
947	C₂²	—	2	1	no	—
948	C₂²	—	2	1	no	—
949	C₂²	—	2	1	no	—
950	C₂²	—	2	1	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	4	no	—
953	C₂²	—	2	2	no	—
954	C₂²	—	2	2	no	—
955	C₂²	—	4	4	no	—
956	C₂²	—	4	4	no	—
957	C₂²	—	4	8	no	—
958	C₂²	—	4	2	no	—
959	C₂²	—	4	2	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	4	2	no	—
967	C₂²	—	4	2	no	—
968	C₂²	—	4	2	no	—
969	C₂²	—	8	8	no	—
970	C₂²	—	8	8	no	—
971	C₂²	—	8	4	no	—
972	C₂²	—	8	4	no	—
973	C₂²	—	8	16	no	—
974	C₂²	—	16	2	no	—
975	C₂²	C₂×C₂₉×AGL(1,ℤ/8)	1	2	yes	—
976	C₂²	C₂×C₂₉×AGL(1,ℤ/8)	1	2	yes	—
977	C₂²	C₂×C₂₉×AGL(1,ℤ/8)	1	2	yes	—
978	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
979	C₄	—	2	1	no	—
980	C₄	—	2	2	no	—
981	C₄	—	2	1	no	—
982	C₄	—	2	1	no	—
983	C₄	—	2	2	no	—
984	C₄	—	2	2	no	—
985	C₄	—	4	2	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	2	no	—
988	C₄	—	4	2	no	—
989	C₄	C₂×C₂₉×H(5,𝔽₂)	1	2	yes	—
990	C₂	—	2	2	no	—
991	C₂	—	2	2	no	—
992	C₂	—	2	2	no	—
993	C₂	—	4	2	no	—
994	C₂	—	4	4	no	—
995	C₂	—	8	2	no	—
996	C₂	—	8	2	no	—
997	C₂	—	8	2	no	—
998	C₂	C₂₉×#3484	1	1	yes	characteristic
999	C₂	C₂²×C₂₉×AGL(1,ℤ/8)	1	1	yes	characteristic
1000	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×#3505	C₂	semidirect
2. C₂×D₄²×C₂₉	C₂	semidirect
3. C₂₉×#3318	C₂	semidirect
4. C₂₉×#3310	C₂	semidirect
5. C₂₉×#3265	C₂	semidirect
6. C₂₉×#3264	C₂	semidirect
7. C₂₉×#3217	C₂	semidirect
8. C₂₉×#3194	C₂	semidirect
9. C₂₉×#3187	C₂	semidirect
10. C₂₉×#3186	C₂	semidirect
11. C₂₉×#3114	C₂	semidirect
12. C₂₉×#3003	C₂	semidirect
13. C₂×C₂₉×#450	C₂	semidirect
14. C₂×C₂₉×#447	C₂	semidirect
15. C₂₉×#2973	C₂	semidirect
18. C₂³×D₄×C₂₉	C₂²	semidirect
19. C₂×C₂₉×AGL(1,ℤ/8)	C₂²	semidirect
20. C₂²×SD₁₆×C₂₉	C₂²	semidirect
21. C₂²×D₈×C₂₉	C₂²	semidirect
23. C₂₉×#553	C₂²	semidirect
24. C₂₉×#552	C₂²	semidirect
26. C₂₉×#548	C₂²	semidirect
27. C₂₉×#546	C₂²	semidirect
31. D₄²×C₂₉	C₂²	semidirect
35. C₂×C₂₉×#127	C₂²	semidirect
36. C₂₉×#529	C₂²	semidirect
37. C₂₉×#525	C₂²	semidirect
38. C₂×C₂₉×C₂²⋊Q₈	C₂²	semidirect
41. C₂×C₂₉×#121	C₂²	semidirect
42. C₂×C₂₉×#121	C₂²	semidirect
47. C₂×C₄×D₄×C₂₉	C₂²	semidirect
48. C₂₉×#496	C₂²	semidirect
49. C₂₉×#490	C₂²	semidirect
50. C₂₉×#483	C₂²	semidirect
51. C₂₉×#482	C₂²	semidirect
52. C₂₉×#481	C₂²	semidirect
53. C₂₉×#480	C₂²	semidirect
54. C₂₉×#480	C₂²	semidirect
55. C₂₉×#478	C₂²	semidirect
56. C₂₉×#469	C₂²	semidirect
57. C₂₉×#468	C₂²	semidirect
58. C₂₉×#466	C₂²	semidirect
59. C₂₉×#465	C₂²	semidirect
60. C₂₉×#463	C₂²	semidirect
61. C₂₉×#460	C₂²	semidirect
62. C₂₉×#459	C₂²	semidirect
63. C₂₉×#450	C₂²	semidirect
64. C₂₉×#450	C₂²	semidirect
65. C₂₉×#450	C₂²	semidirect
66. C₂₉×#450	C₂²	semidirect
67. C₂₉×#450	C₂²	semidirect
68. C₂₉×#449	C₂²	semidirect
69. C₂₉×#448	C₂²	semidirect
71. C₂₉×#447	C₂²	semidirect
72. C₂₉×#447	C₂²	semidirect
73. C₂₉×#447	C₂²	semidirect
74. C₂₉×#447	C₂²	semidirect
75. C₂₉×#447	C₂²	semidirect
76. C₂₉×#442	C₂²	semidirect
77. C₂₉×#440	C₂²	semidirect
78. C₂₉×#435	C₂²	semidirect
79. C₂₉×#435	C₂²	semidirect
80. C₂₉×#432	C₂²	semidirect
81. C₂₉×#418	C₂²	semidirect
82. C₂×C₂₉×#102	C₂²	semidirect
83. C₂×C₂₉×#102	C₂²	semidirect
84. C₂₉×#407	C₂²	semidirect
85. C₂×C₂₉×C₂²⋊C₈	C₂²	semidirect
86. C₂×C₂₉×C₂²⋊C₈	C₂²	semidirect
89. C₂×#41×C₂₉	C₂³	semidirect
90. C₂²×Q₈×C₂₉	C₂³	semidirect
113. C₂²×D₄×C₂₉	C₂³	semidirect
120. C₂×SD₁₆×C₂₉	C₂³	semidirect
121. C₂×SD₁₆×C₂₉	C₂³	semidirect
124. C₂×D₈×C₂₉	C₂³	semidirect
125. C₂×D₈×C₂₉	C₂³	semidirect
126. C₂×M₁₆×C₂₉	C₂³	semidirect
127. C₂²×C₈×C₂₉	C₂³	semidirect
128. C₂²×C₈×C₂₉	C₂³	semidirect
135. C₂₉×#125	C₂³	semidirect
137. C₂₉×#124	C₂³	semidirect
147. C₂₉×C₂²⋊Q₈	C₂³	semidirect
148. C₂₉×C₂²⋊Q₈	C₂³	semidirect
163. C₂₉×#121	C₂³	semidirect
164. C₂₉×#121	C₂³	semidirect
171. C₄×Q₈×C₂₉	C₂³	semidirect
183. C₄×D₄×C₂₉	C₂³	semidirect
186. C₂₉×#117	C₂³	semidirect
190. C₂×C₄⋊C₄×C₂₉	C₂³	semidirect
191. C₂×C₄⋊C₄×C₂₉	C₂³	semidirect
201. C₂₉×#107	C₂³	semidirect
202. C₂₉×#106	C₂³	semidirect
203. C₂₉×C₄⋊C₈	C₂³	semidirect
204. C₂₉×#103	C₂³	semidirect
207. C₂₉×#102	C₂³	semidirect
208. C₂₉×#102	C₂³	semidirect
209. C₂₉×#102	C₂³	semidirect
210. C₂₉×#102	C₂³	semidirect
211. C₂₉×#102	C₂³	semidirect
214. C₂₉×C₂²⋊C₈	C₂³	semidirect
215. C₂₉×C₂²⋊C₈	C₂³	semidirect
216. C₂₉×C₂²⋊C₈	C₂³	semidirect
217. C₂₉×#97	C₂³	semidirect
350. #61571	C₂₉	direct (N × H)
383. C₂³×C₂₉	AGL(1,ℤ/8)	semidirect
445. #3505	C₂×C₂₉	semidirect
446. C₂×D₄²	C₂×C₂₉	semidirect
447. #3318	C₂×C₂₉	semidirect
448. #3310	C₂×C₂₉	semidirect
449. #3265	C₂×C₂₉	semidirect
450. #3264	C₂×C₂₉	semidirect
451. #3217	C₂×C₂₉	semidirect
452. #3194	C₂×C₂₉	semidirect
453. #3187	C₂×C₂₉	semidirect
454. #3186	C₂×C₂₉	semidirect
455. #3114	C₂×C₂₉	semidirect
456. #3003	C₂×C₂₉	semidirect
457. C₂×#450	C₂×C₂₉	semidirect
458. C₂×#447	C₂×C₂₉	semidirect
459. #2973	C₂×C₂₉	semidirect
507. C₂³×D₄	C₂²×C₂₉	semidirect
508. C₂×AGL(1,ℤ/8)	C₂²×C₂₉	semidirect
509. C₂²×SD₁₆	C₂²×C₂₉	semidirect
510. C₂²×D₈	C₂²×C₂₉	semidirect
512. #553	C₂²×C₂₉	semidirect
513. #552	C₂²×C₂₉	semidirect
515. #548	C₂²×C₂₉	semidirect
516. #546	C₂²×C₂₉	semidirect
520. D₄²	C₂²×C₂₉	semidirect
524. C₂×#127	C₂²×C₂₉	semidirect
525. #529	C₂²×C₂₉	semidirect
526. #525	C₂²×C₂₉	semidirect
527. C₂×C₂²⋊Q₈	C₂²×C₂₉	semidirect
530. C₂×#121	C₂²×C₂₉	semidirect
531. C₂×#121	C₂²×C₂₉	semidirect
536. C₂×C₄×D₄	C₂²×C₂₉	semidirect
537. #496	C₂²×C₂₉	semidirect
538. #490	C₂²×C₂₉	semidirect
539. #483	C₂²×C₂₉	semidirect
540. #482	C₂²×C₂₉	semidirect
541. #481	C₂²×C₂₉	semidirect
542. #480	C₂²×C₂₉	semidirect
543. #480	C₂²×C₂₉	semidirect
544. #478	C₂²×C₂₉	semidirect
545. #469	C₂²×C₂₉	semidirect
546. #468	C₂²×C₂₉	semidirect
547. #466	C₂²×C₂₉	semidirect
548. #465	C₂²×C₂₉	semidirect
549. #463	C₂²×C₂₉	semidirect
550. #460	C₂²×C₂₉	semidirect
551. #459	C₂²×C₂₉	semidirect
552. #450	C₂²×C₂₉	semidirect
553. #450	C₂²×C₂₉	semidirect
554. #450	C₂²×C₂₉	semidirect
555. #450	C₂²×C₂₉	semidirect
556. #450	C₂²×C₂₉	semidirect
557. #449	C₂²×C₂₉	semidirect
558. #448	C₂²×C₂₉	semidirect
560. #447	C₂²×C₂₉	semidirect
561. #447	C₂²×C₂₉	semidirect
562. #447	C₂²×C₂₉	semidirect
563. #447	C₂²×C₂₉	semidirect
564. #447	C₂²×C₂₉	semidirect
565. #442	C₂²×C₂₉	semidirect
566. #440	C₂²×C₂₉	semidirect
567. #435	C₂²×C₂₉	semidirect
568. #435	C₂²×C₂₉	semidirect
569. #432	C₂²×C₂₉	semidirect
570. #418	C₂²×C₂₉	semidirect
571. C₂×#102	C₂²×C₂₉	semidirect
572. C₂×#102	C₂²×C₂₉	semidirect
573. #407	C₂²×C₂₉	semidirect
574. C₂×C₂²⋊C₈	C₂²×C₂₉	semidirect
575. C₂×C₂²⋊C₈	C₂²×C₂₉	semidirect
589. C₂×#41	C₂³×C₂₉	semidirect
590. C₂²×Q₈	C₂³×C₂₉	semidirect
613. C₂²×D₄	C₂³×C₂₉	semidirect
620. C₂×SD₁₆	C₂³×C₂₉	semidirect
621. C₂×SD₁₆	C₂³×C₂₉	semidirect
624. C₂×D₈	C₂³×C₂₉	semidirect
625. C₂×D₈	C₂³×C₂₉	semidirect
626. C₂×M₁₆	C₂³×C₂₉	semidirect
627. C₂²×C₈	C₂³×C₂₉	semidirect
628. C₂²×C₈	C₂³×C₂₉	semidirect
635. #125	C₂³×C₂₉	semidirect
637. #124	C₂³×C₂₉	semidirect
647. C₂²⋊Q₈	C₂³×C₂₉	semidirect
648. C₂²⋊Q₈	C₂³×C₂₉	semidirect
663. #121	C₂³×C₂₉	semidirect
664. #121	C₂³×C₂₉	semidirect
671. C₄×Q₈	C₂³×C₂₉	semidirect
683. C₄×D₄	C₂³×C₂₉	semidirect
686. #117	C₂³×C₂₉	semidirect
690. C₂×C₄⋊C₄	C₂³×C₂₉	semidirect
691. C₂×C₄⋊C₄	C₂³×C₂₉	semidirect
701. #107	C₂³×C₂₉	semidirect
702. #106	C₂³×C₂₉	semidirect
703. C₄⋊C₈	C₂³×C₂₉	semidirect
704. #103	C₂³×C₂₉	semidirect
707. #102	C₂³×C₂₉	semidirect
708. #102	C₂³×C₂₉	semidirect
709. #102	C₂³×C₂₉	semidirect
710. #102	C₂³×C₂₉	semidirect
711. #102	C₂³×C₂₉	semidirect
714. C₂²⋊C₈	C₂³×C₂₉	semidirect
715. C₂²⋊C₈	C₂³×C₂₉	semidirect
716. C₂²⋊C₈	C₂³×C₂₉	semidirect
717. #97	C₂³×C₂₉	semidirect
718. C₂₉	#61571	direct (N × H)
883. C₂³	C₂₉×AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
C₂₉×#3505	2
C₂×D₄²×C₂₉	2
C₂₉×#3318	2
C₂₉×#3310	2
C₂₉×#3265	2
C₂₉×#3264	2
C₂₉×#3217	2
C₂₉×#3194	2
C₂₉×#3187	2
C₂₉×#3186	2
C₂₉×#3114	2
C₂₉×#3003	2
C₂×C₂₉×#450	2
C₂×C₂₉×#447	2
C₂₉×#2973	2
#61571	29

Subgroups — C29×#61571 #20356471

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61571 #20356471