Subgroups — C₂₉×#61385 #20356285

Order 7424.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3504	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3389	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3389	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3388	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3388	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3386	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3384	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3381	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3380	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3166	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3164	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3163	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3084	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3083	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3081	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₂₉×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#2946	C₂	1	1	yes	maximal, characteristic
22	C₂₉×#2946	C₂	1	1	yes	maximal, characteristic
23	C₄×C₂₉×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
24	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂₉×#557	C₂²	1	2	yes	complemented
26	C₂₉×#557	C₂²	1	2	yes	complemented
27	C₂₉×#554	—	2	1	no	—
28	C₂₉×#554	—	2	1	no	—
29	C₂₉×#554	—	2	1	no	—
30	C₂₉×#554	—	2	2	no	—
31	C₂₉×#554	—	2	2	no	—
32	C₂₉×#554	C₂²	1	2	yes	—
33	C₂₉×#554	C₂²	1	2	yes	—
34	C₂₉×#554	C₂²	1	2	yes	—
35	C₂₉×#554	C₂²	1	2	yes	complemented
36	C₂₉×#554	C₂²	1	2	yes	complemented
37	D₄×Q₈×C₂₉	—	2	1	no	—
38	D₄×Q₈×C₂₉	C₂²	1	2	yes	—
39	C₂₉×#544	—	2	1	no	—
40	C₂₉×#544	—	2	1	no	—
41	C₂₉×#544	C₂²	1	1	yes	characteristic
42	C₂₉×#544	C₂²	1	1	yes	characteristic
43	C₂₉×#544	C₂²	1	1	yes	characteristic
44	C₂₉×#544	C₂²	1	1	yes	characteristic
45	C₂₉×#543	—	2	2	no	—
46	C₂₉×#533	—	2	1	no	—
47	C₂₉×#533	C₂²	1	1	yes	characteristic
48	C₂₉×#533	C₂²	1	1	yes	characteristic
49	C₂×C₂₉×#125	—	2	1	no	—
50	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
51	C₂×C₂₉×C₂²⋊Q₈	—	2	2	no	—
52	C₂₉×#520	C₂²	1	1	yes	characteristic
53	C₂₉×#520	C₂²	1	1	yes	characteristic
54	C₂₉×#518	C₂²	1	1	yes	characteristic
55	C₂₉×#518	C₂²	1	1	yes	characteristic
56	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
58	C₂₉×#501	C₂²	1	2	yes	complemented
59	C₂₉×#501	C₂²	1	2	yes	complemented
60	C₂₉×#501	C₂²	1	2	yes	complemented
61	C₂₉×#501	C₂²	1	2	yes	complemented
62	C₂₉×#501	C₂²	1	2	yes	complemented
63	C₂₉×#501	C₂²	1	2	yes	complemented
64	C₂₉×#500	C₂²	1	2	yes	complemented
65	C₂₉×#499	C₂²	1	2	yes	complemented
66	C₂₉×#499	C₂²	1	2	yes	complemented
67	C₂₉×#499	C₂²	1	2	yes	complemented
68	C₂₉×#499	C₂²	1	2	yes	complemented
69	C₂₉×#498	C₂²	1	2	yes	complemented
70	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
71	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
72	C₂₉×#479	C₂²	1	2	yes	complemented
73	C₂₉×#479	C₂²	1	2	yes	complemented
74	C₂₉×#478	C₂²	1	2	yes	—
75	C₂₉×#478	C₂²	1	2	yes	—
76	C₂₉×#478	C₂²	1	2	yes	—
77	C₂₉×#478	C₂²	1	2	yes	—
78	C₂₉×#478	C₂²	1	2	yes	—
79	C₂₉×#478	C₂²	1	2	yes	—
80	C₂₉×#478	C₂²	1	2	yes	—
81	C₂₉×#478	C₂²	1	2	yes	—
82	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
83	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
84	C₂₉×#478	C₂²	1	2	yes	complemented
85	C₂₉×#478	C₂²	1	2	yes	complemented
86	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
87	C₂₉×#477	C₂²	1	2	yes	complemented
88	C₂₉×#476	C₂²	1	2	yes	—
89	C₂₉×#476	C₂²	1	2	yes	—
90	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
91	C₂₉×#476	C₂²	1	2	yes	complemented
92	C₂₉×#475	C₂²	1	1	yes	characteristic, complemented
93	C₂₉×#475	C₂²	1	2	yes	complemented
94	C₂₉×#474	C₂²	1	2	yes	—
95	C₂₉×#474	C₂²	1	2	yes	—
96	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
97	C₂₉×#474	C₂²	1	2	yes	complemented
98	C₂₉×#446	C₂²	1	2	yes	complemented
99	C₂₉×#446	C₂²	1	2	yes	complemented
100	C₂₉×#446	C₂²	1	2	yes	complemented
101	C₈×Q₈×C₂₉	C₂²	1	2	yes	complemented
102	C₂₉×#442	C₂²	1	2	yes	—
103	C₂₉×#442	C₂²	1	2	yes	—
104	C₂₉×#442	C₂²	1	2	yes	—
105	C₂₉×#440	C₂²	1	2	yes	—
106	C₂₉×#440	C₂²	1	2	yes	—
107	C₂₉×#440	C₂²	1	2	yes	—
108	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	—
109	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	—
110	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	—
111	C₄×D₈×C₂₉	C₂²	1	2	yes	—
112	C₄×D₈×C₂₉	C₂²	1	2	yes	—
113	C₄×D₈×C₂₉	C₂²	1	2	yes	—
114	C₂₉×#428	C₂²	1	1	yes	characteristic
115	C₂₉×#428	C₂²	1	1	yes	characteristic
116	C₂₉×#428	C₂²	1	1	yes	characteristic
117	C₂₉×#428	C₂²	1	1	yes	characteristic
118	C₂₉×#428	C₂²	1	1	yes	characteristic
119	C₂₉×#427	C₂²	1	1	yes	characteristic
120	C₂₉×#427	C₂²	1	1	yes	characteristic
121	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
122	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
123	C₂₉×#424	C₂²	1	1	yes	characteristic
124	C₂₉×#424	C₂²	1	1	yes	characteristic
125	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂₉×#418	C₂²	1	1	yes	characteristic
127	C₂₉×#417	C₂²	1	1	yes	characteristic
128	C₂₉×#416	C₂²	1	1	yes	characteristic
129	C₂₉×#416	C₂²	1	1	yes	characteristic
130	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
131	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
132	C₂₉×#405	C₂²	1	1	yes	characteristic
133	C₂₉×#405	C₂²	1	1	yes	characteristic
134	C₄×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₂₉	—	2	2	no	—
137	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₂₉	—	2	1	no	—
139	C₂₉×AGL(1,ℤ/8)	Q₈	1	8	yes	complemented
140	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
141	C₂×D₈×C₂₉	C₂³	1	2	yes	—
142	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
143	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
146	C₂₉×C₄⋊Q₈	—	2	2	no	—
147	C₂₉×C₄⋊Q₈	—	2	2	no	—
148	C₂₉×C₄⋊Q₈	—	2	1	no	—
149	C₂₉×C₄⋊Q₈	—	2	1	no	—
150	C₂₉×C₄⋊Q₈	—	2	1	no	—
151	C₂₉×C₄⋊Q₈	—	2	1	no	—
152	C₂₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
153	C₂₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
154	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₂₉×#125	—	2	1	no	—
161	C₂₉×#125	—	2	1	no	—
162	C₂₉×#125	—	2	2	no	—
163	C₂₉×#125	—	2	2	no	—
164	C₂₉×#125	—	2	2	no	—
165	C₂₉×#125	—	2	2	no	—
166	C₂₉×#125	—	2	1	no	—
167	C₂₉×#125	—	2	1	no	—
168	C₂₉×#125	—	2	1	no	—
169	C₂₉×#125	—	2	1	no	—
170	C₂₉×#125	D₄	1	1	yes	characteristic
171	C₂₉×#125	D₄	1	1	yes	characteristic
172	C₂₉×#125	C₂³	1	2	yes	—
173	C₂₉×#125	C₂³	1	2	yes	—
174	C₂₉×#125	C₂³	1	2	yes	—
175	C₂₉×#125	C₂³	1	2	yes	—
176	C₂₉×#125	C₂³	1	1	yes	characteristic
177	C₂₉×#125	C₂³	1	1	yes	characteristic
178	C₂₉×#125	C₂³	1	2	yes	—
179	C₂₉×#125	C₂³	1	2	yes	—
180	C₂₉×C₂²⋊Q₈	—	2	2	no	—
181	C₂₉×C₂²⋊Q₈	—	2	2	no	—
182	C₂₉×C₂²⋊Q₈	—	2	2	no	—
183	C₂₉×C₂²⋊Q₈	—	2	2	no	—
184	C₂₉×C₂²⋊Q₈	—	2	2	no	—
185	C₂₉×C₂²⋊Q₈	—	2	1	no	—
186	C₂₉×C₂²⋊Q₈	—	2	1	no	—
187	C₂₉×C₂²⋊Q₈	—	2	2	no	—
188	C₂₉×C₂²⋊Q₈	—	2	2	no	—
189	C₂₉×C₂²⋊Q₈	—	2	2	no	—
190	C₂₉×C₂²⋊Q₈	—	2	2	no	—
191	C₂₉×C₂²⋊Q₈	—	2	2	no	—
192	C₂₉×C₂²⋊Q₈	—	2	2	no	—
193	C₂₉×C₂²⋊Q₈	—	2	2	no	—
194	C₂₉×C₂²⋊Q₈	—	2	2	no	—
195	C₂₉×C₂²⋊Q₈	—	2	2	no	—
196	C₂₉×C₂²⋊Q₈	—	2	2	no	—
197	C₂₉×C₂²⋊Q₈	—	2	2	no	—
198	C₂₉×C₂²⋊Q₈	—	2	2	no	—
199	C₂₉×C₂²⋊Q₈	—	2	2	no	—
200	C₂₉×C₂²⋊Q₈	—	2	2	no	—
201	C₂₉×C₂²⋊Q₈	—	2	2	no	—
202	C₂₉×C₂²⋊Q₈	—	2	2	no	—
203	C₂₉×C₂²⋊Q₈	—	2	2	no	—
204	C₂₉×C₂²⋊Q₈	D₄	1	2	yes	—
205	C₂₉×C₂²⋊Q₈	D₄	1	2	yes	—
206	C₄×Q₈×C₂₉	—	2	2	no	—
207	C₄×Q₈×C₂₉	—	2	2	no	—
208	C₄×Q₈×C₂₉	—	2	1	no	—
209	C₄×Q₈×C₂₉	—	2	1	no	—
210	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
211	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
212	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
213	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
214	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
215	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
216	C₄×D₄×C₂₉	—	2	1	no	—
217	C₄×D₄×C₂₉	—	2	1	no	—
218	C₄×D₄×C₂₉	—	2	1	no	—
219	C₄×D₄×C₂₉	—	2	1	no	—
220	C₄×D₄×C₂₉	—	2	1	no	—
221	C₄×D₄×C₂₉	—	2	1	no	—
222	C₄×D₄×C₂₉	—	2	2	no	—
223	C₄×D₄×C₂₉	—	2	2	no	—
224	C₄×D₄×C₂₉	—	2	1	no	—
225	C₄×D₄×C₂₉	—	2	1	no	—
226	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₂₉	C₂³	1	2	yes	—
228	C₄×D₄×C₂₉	C₂³	1	2	yes	—
229	C₄×D₄×C₂₉	C₂³	1	2	yes	—
230	C₄×D₄×C₂₉	C₂³	1	2	yes	—
231	C₄×D₄×C₂₉	C₂³	1	2	yes	—
232	C₄×D₄×C₂₉	C₂³	1	2	yes	—
233	C₄×D₄×C₂₉	C₂³	1	2	yes	—
234	C₄×D₄×C₂₉	C₂³	1	2	yes	—
235	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
236	C₂₉×#117	—	2	1	no	—
237	C₂₉×#117	—	2	1	no	—
238	C₂₉×#117	—	2	1	no	—
239	C₂₉×#117	C₂³	1	1	yes	characteristic
240	C₂₉×#117	C₂³	1	1	yes	characteristic
241	C₂₉×#117	C₂³	1	1	yes	characteristic
242	C₂₉×#117	C₂³	1	1	yes	characteristic
243	C₂₉×#117	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
245	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
246	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
247	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
248	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
249	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
250	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
251	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
252	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
253	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
257	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
258	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
259	C₂×C₄²×C₂₉	—	2	1	no	—
260	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
261	C₂₉×#107	C₂³	1	2	yes	—
262	C₂₉×#107	C₂³	1	2	yes	—
263	C₂₉×#107	C₂³	1	1	yes	characteristic
264	C₂₉×#107	C₂³	1	1	yes	characteristic
265	C₂₉×#107	C₂³	1	1	yes	characteristic
266	C₂₉×#107	C₂³	1	1	yes	characteristic
267	C₂₉×#107	C₂³	1	2	yes	—
268	C₂₉×#107	C₂³	1	2	yes	—
269	C₂₉×#107	C₂³	1	2	yes	—
270	C₂₉×#107	C₂³	1	2	yes	—
271	C₂₉×#107	C₂³	1	2	yes	—
272	C₂₉×#106	C₂³	1	2	yes	—
273	C₂₉×#106	C₂³	1	2	yes	—
274	C₂₉×#106	C₂³	1	1	yes	characteristic
275	C₂₉×#106	C₂³	1	1	yes	characteristic
276	C₂₉×#106	C₂³	1	1	yes	characteristic
277	C₂₉×#106	C₂³	1	1	yes	characteristic
278	C₂₉×#106	C₂³	1	2	yes	—
279	C₂₉×#106	C₂³	1	2	yes	—
280	C₂₉×#106	C₂³	1	2	yes	—
281	C₂₉×#106	C₂³	1	2	yes	—
282	C₂₉×#106	C₂³	1	2	yes	—
283	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
287	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
288	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂₉×#103	C₂³	1	1	yes	characteristic
292	C₂₉×#103	C₂³	1	1	yes	characteristic
293	C₂₉×#103	C₂³	1	2	yes	—
294	C₂₉×#103	C₂³	1	1	yes	characteristic
295	C₂₉×#103	C₂³	1	1	yes	characteristic
296	C₂₉×#102	C₂³	1	1	yes	characteristic
297	C₂₉×#102	C₂³	1	1	yes	characteristic
298	C₂₉×#102	C₂³	1	2	yes	—
299	C₂₉×#102	C₂³	1	2	yes	—
300	C₂₉×#102	C₂³	1	2	yes	—
301	C₂₉×#102	C₂³	1	2	yes	—
302	C₂₉×#102	C₂³	1	2	yes	—
303	C₂₉×#102	C₂³	1	2	yes	—
304	C₂₉×#102	C₂³	1	2	yes	—
305	C₂₉×#102	C₂³	1	1	yes	characteristic
306	C₂₉×#102	C₂³	1	1	yes	characteristic
307	C₂₉×#97	C₂³	1	2	yes	—
308	C₂₉×#97	C₂³	1	2	yes	—
309	C₂₉×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₂₉	C₂³	1	2	yes	—
311	C₄×C₈×C₂₉	C₂³	1	2	yes	—
312	C₄×C₈×C₂₉	C₂³	1	2	yes	—
313	C₂⁴×C₂₉	—	2	1	no	—
314	#41×C₂₉	—	2	2	no	—
315	#41×C₂₉	C₂×Q₈	1	4	yes	complemented
316	C₂×Q₈×C₂₉	—	2	1	no	—
317	C₂×Q₈×C₂₉	—	2	1	no	—
318	C₂×Q₈×C₂₉	—	2	2	no	—
319	C₂×Q₈×C₂₉	—	2	2	no	—
320	C₂×Q₈×C₂₉	—	2	2	no	—
321	C₂×Q₈×C₂₉	—	2	2	no	—
322	C₂×Q₈×C₂₉	—	8	4	no	—
323	C₂×Q₈×C₂₉	C₂×D₄	1	2	yes	—
324	C₂×Q₈×C₂₉	C₂×D₄	1	2	yes	—
325	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₂₉	—	2	1	no	—
327	C₂×D₄×C₂₉	—	2	1	no	—
328	C₂×D₄×C₂₉	—	2	2	no	—
329	C₂×D₄×C₂₉	C₂×Q₈	1	4	yes	—
330	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₂₉	—	2	1	no	—
333	C₂²×C₄×C₂₉	—	2	1	no	—
334	C₂²×C₄×C₂₉	—	2	1	no	—
335	C₂²×C₄×C₂₉	—	2	1	no	—
336	C₂²×C₄×C₂₉	—	2	2	no	—
337	C₂²×C₄×C₂₉	—	2	1	no	—
338	C₂²×C₄×C₂₉	—	2	1	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	—	2	2	no	—
343	C₂²×C₄×C₂₉	—	2	2	no	—
344	C₂²×C₄×C₂₉	—	2	2	no	—
345	C₂²×C₄×C₂₉	—	2	2	no	—
346	C₂²×C₄×C₂₉	—	8	2	no	—
347	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
350	SD₁₆×C₂₉	C₂×Q₈	1	8	yes	complemented
351	D₈×C₂₉	C₂×Q₈	1	8	yes	complemented
352	M₁₆×C₂₉	—	2	2	no	—
353	M₁₆×C₂₉	C₂×Q₈	1	4	yes	complemented
354	C₂×C₈×C₂₉	—	2	2	no	—
355	C₂×C₈×C₂₉	—	2	2	no	—
356	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
357	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
361	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
362	C₄⋊C₄×C₂₉	—	2	1	no	—
363	C₄⋊C₄×C₂₉	—	2	1	no	—
364	C₄⋊C₄×C₂₉	—	2	1	no	—
365	C₄⋊C₄×C₂₉	—	2	2	no	—
366	C₄⋊C₄×C₂₉	—	2	2	no	—
367	C₄⋊C₄×C₂₉	—	2	1	no	—
368	C₄⋊C₄×C₂₉	—	2	1	no	—
369	C₄⋊C₄×C₂₉	—	2	2	no	—
370	C₄⋊C₄×C₂₉	—	2	2	no	—
371	C₄⋊C₄×C₂₉	—	2	2	no	—
372	C₄⋊C₄×C₂₉	—	2	2	no	—
373	C₄⋊C₄×C₂₉	—	2	2	no	—
374	C₄⋊C₄×C₂₉	—	2	2	no	—
375	C₄⋊C₄×C₂₉	—	2	2	no	—
376	C₄⋊C₄×C₂₉	—	2	2	no	—
377	C₄⋊C₄×C₂₉	—	2	2	no	—
378	C₄⋊C₄×C₂₉	—	2	2	no	—
379	C₄⋊C₄×C₂₉	—	2	2	no	—
380	C₄⋊C₄×C₂₉	—	2	2	no	—
381	C₄⋊C₄×C₂₉	—	2	2	no	—
382	C₄⋊C₄×C₂₉	—	2	2	no	—
383	C₄⋊C₄×C₂₉	—	2	1	no	—
384	C₄⋊C₄×C₂₉	—	2	1	no	—
385	C₄⋊C₄×C₂₉	—	2	1	no	—
386	C₄⋊C₄×C₂₉	—	2	1	no	—
387	C₄⋊C₄×C₂₉	—	2	1	no	—
388	C₄⋊C₄×C₂₉	—	2	1	no	—
389	C₄⋊C₄×C₂₉	—	2	2	no	—
390	C₄⋊C₄×C₂₉	—	2	2	no	—
391	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
392	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
393	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
394	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
395	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
399	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
400	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
402	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
403	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
404	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
410	C₂²⋊C₄×C₂₉	—	2	1	no	—
411	C₂²⋊C₄×C₂₉	—	2	1	no	—
412	C₂²⋊C₄×C₂₉	—	2	1	no	—
413	C₂²⋊C₄×C₂₉	—	2	2	no	—
414	C₂²⋊C₄×C₂₉	—	2	2	no	—
415	C₂²⋊C₄×C₂₉	—	2	2	no	—
416	C₂²⋊C₄×C₂₉	—	2	2	no	—
417	C₂²⋊C₄×C₂₉	—	2	2	no	—
418	C₂²⋊C₄×C₂₉	—	2	2	no	—
419	C₂²⋊C₄×C₂₉	—	2	1	no	—
420	C₂²⋊C₄×C₂₉	—	2	1	no	—
421	C₂²⋊C₄×C₂₉	—	2	2	no	—
422	C₂²⋊C₄×C₂₉	—	2	2	no	—
423	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
424	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
425	C₄²×C₂₉	—	2	1	no	—
426	C₄²×C₂₉	—	2	1	no	—
427	C₄²×C₂₉	—	2	1	no	—
428	C₄²×C₂₉	—	2	2	no	—
429	C₄²×C₂₉	—	2	2	no	—
430	C₄²×C₂₉	—	2	1	no	—
431	C₄²×C₂₉	—	2	1	no	—
432	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
433	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
435	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
436	C₄²×C₂₉	C₂⁴	1	2	yes	—
437	C₄²×C₂₉	C₂⁴	1	2	yes	—
438	#61385	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
439	C₂³×C₂₉	—	2	1	no	—
440	C₂³×C₂₉	—	2	2	no	—
441	C₂³×C₂₉	—	2	4	no	—
442	C₂³×C₂₉	—	8	1	no	—
443	C₂³×C₂₉	—	8	1	no	—
444	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
445	Q₈×C₂₉	—	2	1	no	—
446	Q₈×C₂₉	—	4	2	no	—
447	Q₈×C₂₉	—	4	2	no	—
448	Q₈×C₂₉	—	4	2	no	—
449	Q₈×C₂₉	—	8	1	no	—
450	Q₈×C₂₉	—	8	2	no	—
451	Q₈×C₂₉	—	8	2	no	—
452	Q₈×C₂₉	—	8	2	no	—
453	Q₈×C₂₉	—	8	2	no	—
454	Q₈×C₂₉	C₂²×Q₈	1	2	yes	—
455	D₄×C₂₉	—	2	4	no	—
456	D₄×C₂₉	—	2	4	no	—
457	D₄×C₂₉	—	2	2	no	—
458	D₄×C₂₉	—	2	1	no	—
459	D₄×C₂₉	C₂²×Q₈	1	2	yes	—
460	D₄×C₂₉	C₂²×Q₈	1	4	yes	—
461	C₂×C₄×C₂₉	—	2	1	no	—
462	C₂×C₄×C₂₉	—	2	4	no	—
463	C₂×C₄×C₂₉	—	2	1	no	—
464	C₂×C₄×C₂₉	—	2	1	no	—
465	C₂×C₄×C₂₉	—	2	1	no	—
466	C₂×C₄×C₂₉	—	2	1	no	—
467	C₂×C₄×C₂₉	—	2	1	no	—
468	C₂×C₄×C₂₉	—	2	1	no	—
469	C₂×C₄×C₂₉	—	2	2	no	—
470	C₂×C₄×C₂₉	—	2	2	no	—
471	C₂×C₄×C₂₉	—	2	2	no	—
472	C₂×C₄×C₂₉	—	4	1	no	—
473	C₂×C₄×C₂₉	—	4	1	no	—
474	C₂×C₄×C₂₉	—	4	4	no	—
475	C₂×C₄×C₂₉	—	8	1	no	—
476	C₂×C₄×C₂₉	—	8	2	no	—
477	C₂×C₄×C₂₉	—	8	2	no	—
478	C₂×C₄×C₂₉	—	8	2	no	—
479	C₂×C₄×C₂₉	—	8	1	no	—
480	C₂×C₄×C₂₉	—	8	2	no	—
481	C₂×C₄×C₂₉	—	8	2	no	—
482	C₂×C₄×C₂₉	—	8	2	no	—
483	C₂×C₄×C₂₉	—	8	2	no	—
484	C₂×C₄×C₂₉	—	8	1	no	—
485	C₂×C₄×C₂₉	—	8	1	no	—
486	C₂×C₄×C₂₉	—	8	1	no	—
487	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
489	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
491	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₂₉	C₂²×Q₈	1	2	yes	—
497	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
498	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
499	C₈×C₂₉	—	2	1	no	—
500	C₈×C₂₉	—	2	1	no	—
501	C₈×C₂₉	—	2	1	no	—
502	C₈×C₂₉	—	2	1	no	—
503	C₈×C₂₉	—	2	2	no	—
504	C₈×C₂₉	C₂²×Q₈	1	4	yes	—
505	#3504	C₂×C₂₉	1	1	yes	characteristic, complemented
506	#3501	C₂×C₂₉	1	1	yes	characteristic, complemented
507	#3389	C₂×C₂₉	1	2	yes	complemented
508	#3389	C₂×C₂₉	1	2	yes	complemented
509	#3388	C₂×C₂₉	1	2	yes	complemented
510	#3388	C₂×C₂₉	1	2	yes	complemented
511	#3386	C₂×C₂₉	1	2	yes	complemented
512	#3384	C₂×C₂₉	1	2	yes	complemented
513	#3381	C₂×C₂₉	1	2	yes	complemented
514	#3380	C₂×C₂₉	1	2	yes	complemented
515	#3166	C₂×C₂₉	1	1	yes	characteristic, complemented
516	#3164	C₂×C₂₉	1	1	yes	characteristic, complemented
517	#3163	C₂×C₂₉	1	1	yes	characteristic, complemented
518	#3084	C₂×C₂₉	1	1	yes	characteristic, complemented
519	#3083	C₂×C₂₉	1	1	yes	characteristic, complemented
520	#3081	C₂×C₂₉	1	1	yes	characteristic, complemented
521	#3081	C₂×C₂₉	1	1	yes	characteristic, complemented
522	#3076	C₂×C₂₉	1	1	yes	characteristic, complemented
523	C₂×#478	C₂×C₂₉	1	1	yes	characteristic, complemented
524	#2962	C₂×C₂₉	1	1	yes	characteristic, complemented
525	#2946	C₂×C₂₉	1	1	yes	characteristic
526	#2946	C₂×C₂₉	1	1	yes	characteristic
527	C₄×AGL(1,ℤ/8)	C₂×C₂₉	1	1	yes	characteristic
528	C₂²×C₂₉	—	2	1	no	—
529	C₂²×C₂₉	—	2	1	no	—
530	C₂²×C₂₉	—	2	2	no	—
531	C₂²×C₂₉	—	2	4	no	—
532	C₂²×C₂₉	—	4	1	no	—
533	C₂²×C₂₉	—	4	2	no	—
534	C₂²×C₂₉	—	4	2	no	—
535	C₂²×C₂₉	—	4	1	no	—
536	C₂²×C₂₉	—	8	4	no	—
537	C₂²×C₂₉	D₄×Q₈	1	2	yes	—
538	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
539	C₄×C₂₉	—	2	1	no	—
540	C₄×C₂₉	—	2	1	no	—
541	C₄×C₂₉	—	2	2	no	—
542	C₄×C₂₉	—	2	2	no	—
543	C₄×C₂₉	—	2	1	no	—
544	C₄×C₂₉	—	2	1	no	—
545	C₄×C₂₉	—	2	2	no	—
546	C₄×C₂₉	—	2	2	no	—
547	C₄×C₂₉	—	2	2	no	—
548	C₄×C₂₉	—	4	1	no	—
549	C₄×C₂₉	—	4	1	no	—
550	C₄×C₂₉	—	4	2	no	—
551	C₄×C₂₉	—	4	1	no	—
552	C₄×C₂₉	—	4	2	no	—
553	C₄×C₂₉	—	4	1	no	—
554	C₄×C₂₉	—	4	1	no	—
555	C₄×C₂₉	—	4	2	no	—
556	C₄×C₂₉	—	4	1	no	—
557	C₄×C₂₉	D₄×Q₈	1	2	yes	—
558	C₄×C₂₉	C₂³×Q₈	1	1	yes	characteristic
559	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
560	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
561	#557	C₂²×C₂₉	1	2	yes	complemented
562	#557	C₂²×C₂₉	1	2	yes	complemented
563	#554	—	2	1	no	—
564	#554	—	2	1	no	—
565	#554	—	2	1	no	—
566	#554	—	2	2	no	—
567	#554	—	2	2	no	—
568	#554	C₂²×C₂₉	1	2	yes	—
569	#554	C₂²×C₂₉	1	2	yes	—
570	#554	C₂²×C₂₉	1	2	yes	—
571	#554	C₂²×C₂₉	1	2	yes	complemented
572	#554	C₂²×C₂₉	1	2	yes	complemented
573	D₄×Q₈	—	2	1	no	—
574	D₄×Q₈	C₂²×C₂₉	1	2	yes	—
575	#544	—	2	1	no	—
576	#544	—	2	1	no	—
577	#544	C₂²×C₂₉	1	1	yes	characteristic
578	#544	C₂²×C₂₉	1	1	yes	characteristic
579	#544	C₂²×C₂₉	1	1	yes	characteristic
580	#544	C₂²×C₂₉	1	1	yes	characteristic
581	#543	—	2	2	no	—
582	#533	—	2	1	no	—
583	#533	C₂²×C₂₉	1	1	yes	characteristic
584	#533	C₂²×C₂₉	1	1	yes	characteristic
585	C₂×#125	—	2	1	no	—
586	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
587	C₂×C₂²⋊Q₈	—	2	2	no	—
588	#520	C₂²×C₂₉	1	1	yes	characteristic
589	#520	C₂²×C₂₉	1	1	yes	characteristic
590	#518	C₂²×C₂₉	1	1	yes	characteristic
591	#518	C₂²×C₂₉	1	1	yes	characteristic
592	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
594	#501	C₂²×C₂₉	1	2	yes	complemented
595	#501	C₂²×C₂₉	1	2	yes	complemented
596	#501	C₂²×C₂₉	1	2	yes	complemented
597	#501	C₂²×C₂₉	1	2	yes	complemented
598	#501	C₂²×C₂₉	1	2	yes	complemented
599	#501	C₂²×C₂₉	1	2	yes	complemented
600	#500	C₂²×C₂₉	1	2	yes	complemented
601	#499	C₂²×C₂₉	1	2	yes	complemented
602	#499	C₂²×C₂₉	1	2	yes	complemented
603	#499	C₂²×C₂₉	1	2	yes	complemented
604	#499	C₂²×C₂₉	1	2	yes	complemented
605	#498	C₂²×C₂₉	1	2	yes	complemented
606	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
607	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
608	#479	C₂²×C₂₉	1	2	yes	complemented
609	#479	C₂²×C₂₉	1	2	yes	complemented
610	#478	C₂²×C₂₉	1	2	yes	—
611	#478	C₂²×C₂₉	1	2	yes	—
612	#478	C₂²×C₂₉	1	2	yes	—
613	#478	C₂²×C₂₉	1	2	yes	—
614	#478	C₂²×C₂₉	1	2	yes	—
615	#478	C₂²×C₂₉	1	2	yes	—
616	#478	C₂²×C₂₉	1	2	yes	—
617	#478	C₂²×C₂₉	1	2	yes	—
618	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
619	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
620	#478	C₂²×C₂₉	1	2	yes	complemented
621	#478	C₂²×C₂₉	1	2	yes	complemented
622	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
623	#477	C₂²×C₂₉	1	2	yes	complemented
624	#476	C₂²×C₂₉	1	2	yes	—
625	#476	C₂²×C₂₉	1	2	yes	—
626	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
627	#476	C₂²×C₂₉	1	2	yes	complemented
628	#475	C₂²×C₂₉	1	1	yes	characteristic, complemented
629	#475	C₂²×C₂₉	1	2	yes	complemented
630	#474	C₂²×C₂₉	1	2	yes	—
631	#474	C₂²×C₂₉	1	2	yes	—
632	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
633	#474	C₂²×C₂₉	1	2	yes	complemented
634	#446	C₂²×C₂₉	1	2	yes	complemented
635	#446	C₂²×C₂₉	1	2	yes	complemented
636	#446	C₂²×C₂₉	1	2	yes	complemented
637	C₈×Q₈	C₂²×C₂₉	1	2	yes	complemented
638	#442	C₂²×C₂₉	1	2	yes	—
639	#442	C₂²×C₂₉	1	2	yes	—
640	#442	C₂²×C₂₉	1	2	yes	—
641	#440	C₂²×C₂₉	1	2	yes	—
642	#440	C₂²×C₂₉	1	2	yes	—
643	#440	C₂²×C₂₉	1	2	yes	—
644	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	—
645	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	—
646	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	—
647	C₄×D₈	C₂²×C₂₉	1	2	yes	—
648	C₄×D₈	C₂²×C₂₉	1	2	yes	—
649	C₄×D₈	C₂²×C₂₉	1	2	yes	—
650	#428	C₂²×C₂₉	1	1	yes	characteristic
651	#428	C₂²×C₂₉	1	1	yes	characteristic
652	#428	C₂²×C₂₉	1	1	yes	characteristic
653	#428	C₂²×C₂₉	1	1	yes	characteristic
654	#428	C₂²×C₂₉	1	1	yes	characteristic
655	#427	C₂²×C₂₉	1	1	yes	characteristic
656	#427	C₂²×C₂₉	1	1	yes	characteristic
657	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
658	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
659	#424	C₂²×C₂₉	1	1	yes	characteristic
660	#424	C₂²×C₂₉	1	1	yes	characteristic
661	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
662	#418	C₂²×C₂₉	1	1	yes	characteristic
663	#417	C₂²×C₂₉	1	1	yes	characteristic
664	#416	C₂²×C₂₉	1	1	yes	characteristic
665	#416	C₂²×C₂₉	1	1	yes	characteristic
666	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
667	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
668	#405	C₂²×C₂₉	1	1	yes	characteristic
669	#405	C₂²×C₂₉	1	1	yes	characteristic
670	C₄×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
671	C₂×C₂₉	—	2	2	no	—
672	C₂×C₂₉	—	4	2	no	—
673	C₂×C₂₉	—	4	4	no	—
674	C₂×C₂₉	C₂×D₄×Q₈	1	1	yes	characteristic
675	C₂×C₂₉	#3584	1	1	yes	characteristic
676	C₂×C₂₉	#3585	1	1	yes	characteristic
677	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
678	C₂²×Q₈	—	2	2	no	—
679	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
680	C₂³×C₄	—	2	1	no	—
681	AGL(1,ℤ/8)	Q₈×C₂₉	1	8	yes	complemented
682	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
683	C₂×D₈	C₂³×C₂₉	1	2	yes	—
684	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
685	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
687	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
688	C₄⋊Q₈	—	2	2	no	—
689	C₄⋊Q₈	—	2	2	no	—
690	C₄⋊Q₈	—	2	1	no	—
691	C₄⋊Q₈	—	2	1	no	—
692	C₄⋊Q₈	—	2	1	no	—
693	C₄⋊Q₈	—	2	1	no	—
694	C₄⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
695	C₄⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
696	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
697	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
698	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
699	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
700	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
701	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
702	#125	—	2	1	no	—
703	#125	—	2	1	no	—
704	#125	—	2	2	no	—
705	#125	—	2	2	no	—
706	#125	—	2	2	no	—
707	#125	—	2	2	no	—
708	#125	—	2	1	no	—
709	#125	—	2	1	no	—
710	#125	—	2	1	no	—
711	#125	—	2	1	no	—
712	#125	D₄×C₂₉	1	1	yes	characteristic
713	#125	D₄×C₂₉	1	1	yes	characteristic
714	#125	C₂³×C₂₉	1	2	yes	—
715	#125	C₂³×C₂₉	1	2	yes	—
716	#125	C₂³×C₂₉	1	1	yes	characteristic
717	#125	C₂³×C₂₉	1	1	yes	characteristic
718	#125	C₂³×C₂₉	1	2	yes	—
719	#125	C₂³×C₂₉	1	2	yes	—
720	#125	C₂³×C₂₉	1	2	yes	—
721	#125	C₂³×C₂₉	1	2	yes	—
722	C₂²⋊Q₈	—	2	2	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	1	no	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	D₄×C₂₉	1	2	yes	—
747	C₂²⋊Q₈	D₄×C₂₉	1	2	yes	—
748	C₄×Q₈	—	2	2	no	—
749	C₄×Q₈	—	2	2	no	—
750	C₄×Q₈	—	2	1	no	—
751	C₄×Q₈	—	2	1	no	—
752	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
753	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
754	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
755	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
756	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
757	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	C₂³×C₂₉	1	2	yes	—
769	C₄×D₄	C₂³×C₂₉	1	2	yes	—
770	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
771	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
772	C₄×D₄	C₂³×C₂₉	1	2	yes	—
773	C₄×D₄	C₂³×C₂₉	1	2	yes	—
774	C₄×D₄	C₂³×C₂₉	1	2	yes	—
775	C₄×D₄	C₂³×C₂₉	1	2	yes	—
776	C₄×D₄	C₂³×C₂₉	1	2	yes	—
777	C₄×D₄	C₂³×C₂₉	1	2	yes	—
778	#117	—	2	1	no	—
779	#117	—	2	1	no	—
780	#117	—	2	1	no	—
781	#117	C₂³×C₂₉	1	1	yes	characteristic
782	#117	C₂³×C₂₉	1	1	yes	characteristic
783	#117	C₂³×C₂₉	1	1	yes	characteristic
784	#117	C₂³×C₂₉	1	1	yes	characteristic
785	#117	C₂³×C₂₉	1	1	yes	characteristic
786	C₂×C₄⋊C₄	—	2	1	no	—
787	C₂×C₄⋊C₄	—	2	1	no	—
788	C₂×C₄⋊C₄	—	2	1	no	—
789	C₂×C₄⋊C₄	—	2	1	no	—
790	C₂×C₄⋊C₄	—	2	2	no	—
791	C₂×C₄⋊C₄	—	2	2	no	—
792	C₂×C₄⋊C₄	—	2	2	no	—
793	C₂×C₄⋊C₄	—	2	2	no	—
794	C₂×C₄⋊C₄	—	2	2	no	—
795	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	2	no	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
803	#107	C₂³×C₂₉	1	2	yes	—
804	#107	C₂³×C₂₉	1	2	yes	—
805	#107	C₂³×C₂₉	1	1	yes	characteristic
806	#107	C₂³×C₂₉	1	1	yes	characteristic
807	#107	C₂³×C₂₉	1	1	yes	characteristic
808	#107	C₂³×C₂₉	1	1	yes	characteristic
809	#107	C₂³×C₂₉	1	2	yes	—
810	#107	C₂³×C₂₉	1	2	yes	—
811	#107	C₂³×C₂₉	1	2	yes	—
812	#107	C₂³×C₂₉	1	2	yes	—
813	#107	C₂³×C₂₉	1	2	yes	—
814	#106	C₂³×C₂₉	1	2	yes	—
815	#106	C₂³×C₂₉	1	2	yes	—
816	#106	C₂³×C₂₉	1	1	yes	characteristic
817	#106	C₂³×C₂₉	1	1	yes	characteristic
818	#106	C₂³×C₂₉	1	1	yes	characteristic
819	#106	C₂³×C₂₉	1	1	yes	characteristic
820	#106	C₂³×C₂₉	1	2	yes	—
821	#106	C₂³×C₂₉	1	2	yes	—
822	#106	C₂³×C₂₉	1	2	yes	—
823	#106	C₂³×C₂₉	1	2	yes	—
824	#106	C₂³×C₂₉	1	2	yes	—
825	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
829	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
830	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
831	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
832	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
833	#103	C₂³×C₂₉	1	1	yes	characteristic
834	#103	C₂³×C₂₉	1	1	yes	characteristic
835	#103	C₂³×C₂₉	1	1	yes	characteristic
836	#103	C₂³×C₂₉	1	1	yes	characteristic
837	#103	C₂³×C₂₉	1	2	yes	—
838	#102	C₂³×C₂₉	1	2	yes	—
839	#102	C₂³×C₂₉	1	2	yes	—
840	#102	C₂³×C₂₉	1	2	yes	—
841	#102	C₂³×C₂₉	1	2	yes	—
842	#102	C₂³×C₂₉	1	1	yes	characteristic
843	#102	C₂³×C₂₉	1	1	yes	characteristic
844	#102	C₂³×C₂₉	1	1	yes	characteristic
845	#102	C₂³×C₂₉	1	1	yes	characteristic
846	#102	C₂³×C₂₉	1	2	yes	—
847	#102	C₂³×C₂₉	1	2	yes	—
848	#102	C₂³×C₂₉	1	2	yes	—
849	#97	C₂³×C₂₉	1	2	yes	—
850	#97	C₂³×C₂₉	1	2	yes	—
851	#97	C₂³×C₂₉	1	2	yes	—
852	C₄×C₈	C₂³×C₂₉	1	2	yes	—
853	C₄×C₈	C₂³×C₂₉	1	2	yes	—
854	C₄×C₈	C₂³×C₂₉	1	2	yes	—
855	C₂₉	#61385	1	1	yes	characteristic, direct product factor, Sylow
856	C₂⁴	—	2	1	no	—
857	#41	—	2	2	no	—
858	#41	C₂×Q₈×C₂₉	1	4	yes	complemented
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	2	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	—	8	4	no	—
866	C₂×Q₈	C₂×D₄×C₂₉	1	2	yes	—
867	C₂×Q₈	C₂×D₄×C₂₉	1	2	yes	—
868	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	C₂×Q₈×C₂₉	1	4	yes	—
873	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
874	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	8	2	no	—
890	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
891	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
893	SD₁₆	C₂×Q₈×C₂₉	1	8	yes	complemented
894	D₈	C₂×Q₈×C₂₉	1	8	yes	complemented
895	M₁₆	—	2	2	no	—
896	M₁₆	C₂×Q₈×C₂₉	1	4	yes	complemented
897	C₂×C₈	—	2	2	no	—
898	C₂×C₈	—	2	2	no	—
899	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
900	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
901	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
902	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
904	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
935	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
936	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
937	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
938	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
939	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
940	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
943	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
944	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
945	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
946	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
947	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
948	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
951	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
967	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
968	C₄²	—	2	1	no	—
969	C₄²	—	2	1	no	—
970	C₄²	—	2	1	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	2	no	—
973	C₄²	—	2	1	no	—
974	C₄²	—	2	1	no	—
975	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
976	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
977	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
978	C₄²	C₂⁴×C₂₉	1	2	yes	—
979	C₄²	C₂⁴×C₂₉	1	2	yes	—
980	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	4	no	—
984	C₂³	—	8	1	no	—
985	C₂³	—	8	1	no	—
986	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
987	Q₈	—	2	1	no	—
988	Q₈	—	4	2	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	4	2	no	—
991	Q₈	—	8	2	no	—
992	Q₈	—	8	2	no	—
993	Q₈	—	8	1	no	—
994	Q₈	—	8	2	no	—
995	Q₈	—	8	2	no	—
996	Q₈	C₂²×Q₈×C₂₉	1	2	yes	—
997	D₄	—	2	4	no	—
998	D₄	—	2	4	no	—
999	D₄	—	2	2	no	—
1000	D₄	—	2	1	no	—
1001	D₄	C₂²×Q₈×C₂₉	1	2	yes	—
1002	D₄	C₂²×Q₈×C₂₉	1	4	yes	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	4	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	4	1	no	—
1015	C₂×C₄	—	4	1	no	—
1016	C₂×C₄	—	4	4	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	2	no	—
1020	C₂×C₄	—	8	1	no	—
1021	C₂×C₄	—	8	2	no	—
1022	C₂×C₄	—	8	2	no	—
1023	C₂×C₄	—	8	2	no	—
1024	C₂×C₄	—	8	1	no	—
1025	C₂×C₄	—	8	2	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	—	8	1	no	—
1029	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1030	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1031	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1032	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1033	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1034	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1035	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1036	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1037	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1038	C₂×C₄	C₂²×Q₈×C₂₉	1	2	yes	—
1039	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
1040	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	2	1	no	—
1045	C₈	—	2	2	no	—
1046	C₈	C₂²×Q₈×C₂₉	1	4	yes	—
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	8	4	no	—
1056	C₂²	D₄×Q₈×C₂₉	1	2	yes	—
1057	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1058	C₄	—	2	2	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	1	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	D₄×Q₈×C₂₉	1	2	yes	—
1077	C₄	C₂³×Q₈×C₂₉	1	1	yes	characteristic
1078	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
1079	C₂	—	2	2	no	—
1080	C₂	—	4	4	no	—
1081	C₂	—	4	2	no	—
1082	C₂	C₂×D₄×Q₈×C₂₉	1	1	yes	characteristic
1083	C₂	C₂₉×#3584	1	1	yes	characteristic
1084	C₂	C₂₉×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₉
prime radical	C₂×C₂₉×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₂₉×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3504	C₂	semidirect
2. C₂₉×#3501	C₂	semidirect
3. C₂₉×#3389	C₂	semidirect
4. C₂₉×#3389	C₂	semidirect
5. C₂₉×#3388	C₂	semidirect
6. C₂₉×#3388	C₂	semidirect
7. C₂₉×#3386	C₂	semidirect
8. C₂₉×#3384	C₂	semidirect
9. C₂₉×#3381	C₂	semidirect
10. C₂₉×#3380	C₂	semidirect
11. C₂₉×#3166	C₂	semidirect
12. C₂₉×#3164	C₂	semidirect
13. C₂₉×#3163	C₂	semidirect
14. C₂₉×#3084	C₂	semidirect
15. C₂₉×#3083	C₂	semidirect
16. C₂₉×#3081	C₂	semidirect
17. C₂₉×#3081	C₂	semidirect
18. C₂₉×#3076	C₂	semidirect
19. C₂×C₂₉×#478	C₂	semidirect
20. C₂₉×#2962	C₂	semidirect
25. C₂₉×#557	C₂²	semidirect
26. C₂₉×#557	C₂²	semidirect
35. C₂₉×#554	C₂²	semidirect
36. C₂₉×#554	C₂²	semidirect
58. C₂₉×#501	C₂²	semidirect
59. C₂₉×#501	C₂²	semidirect
60. C₂₉×#501	C₂²	semidirect
61. C₂₉×#501	C₂²	semidirect
62. C₂₉×#501	C₂²	semidirect
63. C₂₉×#501	C₂²	semidirect
64. C₂₉×#500	C₂²	semidirect
65. C₂₉×#499	C₂²	semidirect
66. C₂₉×#499	C₂²	semidirect
67. C₂₉×#499	C₂²	semidirect
68. C₂₉×#499	C₂²	semidirect
69. C₂₉×#498	C₂²	semidirect
70. C₂₉×#479	C₂²	semidirect
71. C₂₉×#479	C₂²	semidirect
72. C₂₉×#479	C₂²	semidirect
73. C₂₉×#479	C₂²	semidirect
82. C₂₉×#478	C₂²	semidirect
83. C₂₉×#478	C₂²	semidirect
84. C₂₉×#478	C₂²	semidirect
85. C₂₉×#478	C₂²	semidirect
86. C₂₉×#477	C₂²	semidirect
87. C₂₉×#477	C₂²	semidirect
90. C₂₉×#476	C₂²	semidirect
91. C₂₉×#476	C₂²	semidirect
92. C₂₉×#475	C₂²	semidirect
93. C₂₉×#475	C₂²	semidirect
96. C₂₉×#474	C₂²	semidirect
97. C₂₉×#474	C₂²	semidirect
98. C₂₉×#446	C₂²	semidirect
99. C₂₉×#446	C₂²	semidirect
100. C₂₉×#446	C₂²	semidirect
101. C₈×Q₈×C₂₉	C₂²	semidirect
139. C₂₉×AGL(1,ℤ/8)	Q₈	semidirect
315. #41×C₂₉	C₂×Q₈	semidirect
350. SD₁₆×C₂₉	C₂×Q₈	semidirect
351. D₈×C₂₉	C₂×Q₈	semidirect
353. M₁₆×C₂₉	C₂×Q₈	semidirect
438. #61385	C₂₉	direct (N × H)
505. #3504	C₂×C₂₉	semidirect
506. #3501	C₂×C₂₉	semidirect
507. #3389	C₂×C₂₉	semidirect
508. #3389	C₂×C₂₉	semidirect
509. #3388	C₂×C₂₉	semidirect
510. #3388	C₂×C₂₉	semidirect
511. #3386	C₂×C₂₉	semidirect
512. #3384	C₂×C₂₉	semidirect
513. #3381	C₂×C₂₉	semidirect
514. #3380	C₂×C₂₉	semidirect
515. #3166	C₂×C₂₉	semidirect
516. #3164	C₂×C₂₉	semidirect
517. #3163	C₂×C₂₉	semidirect
518. #3084	C₂×C₂₉	semidirect
519. #3083	C₂×C₂₉	semidirect
520. #3081	C₂×C₂₉	semidirect
521. #3081	C₂×C₂₉	semidirect
522. #3076	C₂×C₂₉	semidirect
523. C₂×#478	C₂×C₂₉	semidirect
524. #2962	C₂×C₂₉	semidirect
561. #557	C₂²×C₂₉	semidirect
562. #557	C₂²×C₂₉	semidirect
571. #554	C₂²×C₂₉	semidirect
572. #554	C₂²×C₂₉	semidirect
594. #501	C₂²×C₂₉	semidirect
595. #501	C₂²×C₂₉	semidirect
596. #501	C₂²×C₂₉	semidirect
597. #501	C₂²×C₂₉	semidirect
598. #501	C₂²×C₂₉	semidirect
599. #501	C₂²×C₂₉	semidirect
600. #500	C₂²×C₂₉	semidirect
601. #499	C₂²×C₂₉	semidirect
602. #499	C₂²×C₂₉	semidirect
603. #499	C₂²×C₂₉	semidirect
604. #499	C₂²×C₂₉	semidirect
605. #498	C₂²×C₂₉	semidirect
606. #479	C₂²×C₂₉	semidirect
607. #479	C₂²×C₂₉	semidirect
608. #479	C₂²×C₂₉	semidirect
609. #479	C₂²×C₂₉	semidirect
618. #478	C₂²×C₂₉	semidirect
619. #478	C₂²×C₂₉	semidirect
620. #478	C₂²×C₂₉	semidirect
621. #478	C₂²×C₂₉	semidirect
622. #477	C₂²×C₂₉	semidirect
623. #477	C₂²×C₂₉	semidirect
626. #476	C₂²×C₂₉	semidirect
627. #476	C₂²×C₂₉	semidirect
628. #475	C₂²×C₂₉	semidirect
629. #475	C₂²×C₂₉	semidirect
632. #474	C₂²×C₂₉	semidirect
633. #474	C₂²×C₂₉	semidirect
634. #446	C₂²×C₂₉	semidirect
635. #446	C₂²×C₂₉	semidirect
636. #446	C₂²×C₂₉	semidirect
637. C₈×Q₈	C₂²×C₂₉	semidirect
681. AGL(1,ℤ/8)	Q₈×C₂₉	semidirect
855. C₂₉	#61385	direct (N × H)
858. #41	C₂×Q₈×C₂₉	semidirect
893. SD₁₆	C₂×Q₈×C₂₉	semidirect
894. D₈	C₂×Q₈×C₂₉	semidirect
896. M₁₆	C₂×Q₈×C₂₉	semidirect

Maximal subgroups

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

subgroup	index
C₂₉×#3504	2
C₂₉×#3501	2
C₂₉×#3389	2
C₂₉×#3388	2
C₂₉×#3386	2
C₂₉×#3384	2
C₂₉×#3381	2
C₂₉×#3380	2
C₂₉×#3166	2
C₂₉×#3164	2
C₂₉×#3163	2
C₂₉×#3084	2
C₂₉×#3083	2
C₂₉×#3081	2
C₂₉×#3076	2
C₂×C₂₉×#478	2
C₂₉×#2962	2
C₂₉×#2946	2
C₄×C₂₉×AGL(1,ℤ/8)	2
#61385	29

Subgroups — C29×#61385 #20356285

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61385 #20356285