Subgroups — C₂₉×#61271 #20356171

Order 7424.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3492	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#3356	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3351	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3350	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3344	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3344	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3343	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3336	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3335	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3099	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3097	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3091	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₂₉×#483	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3084	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3082	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3063	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3056	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#2947	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#2933	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#2912	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₂₉×#428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic
25	C₂×C₂₉×#131	C₂²	1	1	yes	characteristic
26	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
27	C₂₉×#556	C₂²	1	2	yes	—
28	C₂₉×#554	—	2	1	no	—
29	C₂₉×#554	C₂²	1	2	yes	—
30	C₂₉×#554	C₂²	1	2	yes	—
31	C₂₉×#553	—	2	1	no	—
32	C₂₉×#553	C₂²	1	2	yes	—
33	C₂₉×#552	—	2	2	no	—
34	C₂₉×#552	—	2	1	no	—
35	C₂₉×#552	C₂²	1	2	yes	—
36	C₂₉×#552	C₂²	1	2	yes	—
37	C₂₉×#552	C₂²	1	2	yes	—
38	C₂₉×#551	—	2	2	no	—
39	C₂₉×#547	—	2	1	no	—
40	C₂₉×#547	C₂²	1	2	yes	—
41	C₂₉×#544	C₂²	1	1	yes	characteristic
42	C₂₉×#544	C₂²	1	1	yes	characteristic
43	C₂₉×#542	—	2	1	no	—
44	C₂₉×#541	—	2	1	no	—
45	C₂₉×#539	—	2	2	no	—
46	C₂₉×#537	C₂²	1	1	yes	characteristic
47	C₂₉×#536	C₂²	1	1	yes	characteristic
48	C₂₉×#533	—	2	1	no	—
49	C₂₉×#529	—	2	1	no	—
50	C₂₉×#525	—	2	2	no	—
51	C₂₉×#525	C₂²	1	1	yes	characteristic
52	C₂₉×#525	C₂²	1	1	yes	characteristic
53	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	C₂₉×#520	C₂²	1	1	yes	characteristic
55	C₂₉×#520	C₂²	1	1	yes	characteristic
56	C₂₉×#520	C₂²	1	1	yes	characteristic
57	C₂₉×#519	C₂²	1	1	yes	characteristic
58	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
59	C₂²×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
60	C₂₉×#501	C₂²	1	2	yes	complemented
61	C₂₉×#501	C₂²	1	2	yes	complemented
62	C₂₉×#499	C₂²	1	2	yes	complemented
63	C₂₉×#498	C₂²	1	2	yes	complemented
64	C₂₉×#485	C₂²	1	1	yes	characteristic
65	C₂₉×#485	C₂²	1	1	yes	characteristic
66	C₂₉×#485	C₂²	1	2	yes	complemented
67	C₂₉×#485	C₂²	1	2	yes	complemented
68	C₂₉×#485	C₂²	1	2	yes	complemented
69	C₂₉×#484	C₂²	1	1	yes	characteristic
70	C₂₉×#484	C₂²	1	2	yes	complemented
71	C₂₉×#483	C₂²	1	2	yes	—
72	C₂₉×#483	C₂²	1	1	yes	characteristic
73	C₂₉×#483	C₂²	1	2	yes	—
74	C₂₉×#483	C₂²	1	2	yes	—
75	C₂₉×#483	C₂²	1	2	yes	—
76	C₂₉×#483	C₂²	1	2	yes	complemented
77	C₂₉×#483	C₂²	1	2	yes	complemented
78	C₂₉×#482	C₂²	1	1	yes	characteristic
79	C₂₉×#482	C₂²	1	1	yes	characteristic
80	C₂₉×#482	C₂²	1	2	yes	complemented
81	C₂₉×#481	C₂²	1	1	yes	characteristic
82	C₂₉×#481	C₂²	1	2	yes	complemented
83	C₂₉×#480	C₂²	1	1	yes	characteristic
84	C₂₉×#479	C₂²	1	2	yes	complemented
85	C₂₉×#479	C₂²	1	2	yes	complemented
86	C₂₉×#479	C₂²	1	2	yes	complemented
87	C₂₉×#478	C₂²	1	2	yes	complemented
88	C₂₉×#477	C₂²	1	2	yes	complemented
89	C₂₉×#476	C₂²	1	2	yes	complemented
90	C₂₉×#475	C₂²	1	2	yes	complemented
91	C₂₉×#475	C₂²	1	2	yes	complemented
92	C₂₉×#470	C₂²	1	2	yes	—
93	C₂₉×#470	C₂²	1	2	yes	complemented
94	C₂₉×#468	C₂²	1	2	yes	—
95	C₂₉×#468	C₂²	1	2	yes	complemented
96	C₂₉×#467	C₂²	1	2	yes	—
97	C₂₉×#467	C₂²	1	2	yes	complemented
98	C₂₉×#465	C₂²	1	2	yes	—
99	C₂₉×#465	C₂²	1	2	yes	complemented
100	C₂₉×#441	C₂²	1	2	yes	complemented
101	C₂₉×#440	C₂²	1	2	yes	complemented
102	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	complemented
103	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	complemented
104	C₂₉×#436	C₂²	1	2	yes	—
105	C₂₉×#435	C₂²	1	2	yes	—
106	C₂₉×#435	C₂²	1	2	yes	—
107	C₈×D₄×C₂₉	C₂²	1	2	yes	—
108	C₂₉×#428	C₂²	1	1	yes	characteristic
109	C₂₉×#428	C₂²	1	1	yes	characteristic
110	C₂₉×#428	C₂²	1	1	yes	characteristic
111	C₂₉×#428	C₂²	1	1	yes	characteristic
112	C₂₉×#428	C₂²	1	1	yes	characteristic
113	C₂₉×#428	C₂²	1	2	yes	—
114	C₂₉×#428	C₂²	1	2	yes	—
115	C₂₉×#428	C₂²	1	2	yes	complemented
116	C₂₉×#428	C₂²	1	2	yes	complemented
117	C₂₉×#427	C₂²	1	1	yes	characteristic
118	C₂₉×#427	C₂²	1	1	yes	characteristic
119	C₂₉×#427	C₂²	1	2	yes	complemented
120	C₂×C₂₉×#107	C₂²	1	2	yes	—
121	C₂×C₂₉×#106	C₂²	1	2	yes	—
122	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
123	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
124	C₂×C₂₉×#106	C₂²	1	2	yes	complemented
125	C₂₉×#424	C₂²	1	1	yes	characteristic
126	C₂₉×#419	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×#103	C₂²	1	1	yes	characteristic
131	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
132	C₂₉×#408	C₂²	1	1	yes	characteristic
133	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
134	C₂₉×#405	C₂²	1	1	yes	characteristic
135	C₂×#41×C₂₉	—	2	2	no	—
136	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
137	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₂₉	—	2	1	no	—
140	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
141	C₂₉×#137	—	2	4	no	—
142	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
143	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
144	C₂₉×#131	—	2	4	no	—
145	C₂×M₁₆×C₂₉	—	2	4	no	—
146	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
147	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
149	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
151	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
154	C₂₉×C₄⋊Q₈	—	2	1	no	—
155	C₂₉×C₄⋊Q₈	—	2	1	no	—
156	C₂₉×C₄⋊Q₈	—	2	1	no	—
157	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₂₉×#126	—	2	2	no	—
160	C₂₉×#126	—	2	2	no	—
161	C₂₉×#126	—	2	2	no	—
162	C₂₉×#126	—	2	2	no	—
163	C₂₉×#126	—	2	2	no	—
164	C₂₉×#126	—	2	2	no	—
165	C₂₉×#125	—	2	1	no	—
166	C₂₉×#125	—	2	2	no	—
167	C₂₉×#125	—	2	2	no	—
168	C₂₉×#125	—	2	2	no	—
169	C₂₉×#125	—	2	2	no	—
170	C₂₉×#125	—	2	2	no	—
171	C₂₉×#125	—	2	1	no	—
172	C₂₉×#125	C₂³	1	2	yes	—
173	C₂₉×#125	C₂³	1	2	yes	—
174	C₂₉×#124	—	2	1	no	—
175	C₂₉×#124	—	2	2	no	—
176	C₂₉×#123	—	2	2	no	—
177	C₂₉×#123	—	2	2	no	—
178	C₂₉×#123	—	2	2	no	—
179	C₂₉×#123	—	2	2	no	—
180	C₂₉×#123	—	2	1	no	—
181	C₂₉×#123	—	2	2	no	—
182	C₂₉×#123	—	2	2	no	—
183	C₂₉×#123	—	2	2	no	—
184	C₂₉×#123	D₄	1	2	yes	—
185	C₂₉×C₂²⋊Q₈	—	2	1	no	—
186	C₂₉×C₂²⋊Q₈	—	2	1	no	—
187	C₂₉×C₂²⋊Q₈	—	2	1	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	D₄	1	1	yes	characteristic
196	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
197	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
200	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
204	C₂₉×#121	—	2	2	no	—
205	C₂₉×#121	—	2	2	no	—
206	C₂₉×#121	—	2	1	no	—
207	C₂₉×#121	D₄	1	1	yes	characteristic
208	C₂₉×#121	D₄	1	1	yes	characteristic
209	C₂₉×#121	C₂³	1	1	yes	characteristic
210	C₂₉×#121	C₂³	1	2	yes	—
211	C₂₉×#121	C₂³	1	1	yes	characteristic
212	C₂₉×#120	—	2	1	no	—
213	C₂₉×#120	D₄	1	2	yes	—
214	C₄×Q₈×C₂₉	—	2	1	no	—
215	C₄×Q₈×C₂₉	—	2	1	no	—
216	C₄×Q₈×C₂₉	—	2	1	no	—
217	C₄×Q₈×C₂₉	—	2	1	no	—
218	C₄×Q₈×C₂₉	—	2	2	no	—
219	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
220	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
221	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
222	C₄×D₄×C₂₉	—	2	2	no	—
223	C₄×D₄×C₂₉	—	2	1	no	—
224	C₄×D₄×C₂₉	—	2	1	no	—
225	C₄×D₄×C₂₉	—	2	2	no	—
226	C₄×D₄×C₂₉	—	2	2	no	—
227	C₄×D₄×C₂₉	—	2	2	no	—
228	C₄×D₄×C₂₉	—	2	1	no	—
229	C₄×D₄×C₂₉	—	2	1	no	—
230	C₄×D₄×C₂₉	—	2	2	no	—
231	C₄×D₄×C₂₉	—	2	2	no	—
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	C₂₉×#117	—	2	1	no	—
236	C₂₉×#117	—	2	1	no	—
237	C₂₉×#117	—	2	1	no	—
238	C₂₉×#117	—	2	2	no	—
239	C₂₉×#117	—	2	2	no	—
240	C₂₉×#117	—	2	2	no	—
241	C₂₉×#117	—	2	2	no	—
242	C₂₉×#117	C₂³	1	1	yes	characteristic
243	C₂₉×#117	C₂³	1	1	yes	characteristic
244	C₂₉×#117	C₂³	1	1	yes	characteristic
245	C₂₉×#117	C₂³	1	2	yes	—
246	C₂₉×#117	C₂³	1	2	yes	—
247	C₂₉×#117	C₂³	1	1	yes	characteristic
248	C₂₉×#117	C₂³	1	1	yes	characteristic
249	C₂₉×#117	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
251	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
252	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
253	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
254	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
255	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
258	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
262	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
264	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
265	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
266	C₂×C₄²×C₂₉	—	2	1	no	—
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	1	yes	characteristic
272	C₂₉×#107	C₂³	1	1	yes	characteristic
273	C₂₉×#107	C₂³	1	1	yes	characteristic
274	C₂₉×#107	C₂³	1	1	yes	characteristic
275	C₂₉×#107	C₂³	1	2	yes	—
276	C₂₉×#106	C₂³	1	2	yes	—
277	C₂₉×#106	C₂³	1	2	yes	—
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×#106	C₂³	1	2	yes	—
284	C₂₉×#106	C₂³	1	1	yes	characteristic
285	C₂₉×#106	C₂³	1	2	yes	—
286	C₂₉×#106	C₂³	1	1	yes	characteristic
287	C₂₉×#106	C₂³	1	1	yes	characteristic
288	C₂₉×#106	C₂³	1	1	yes	characteristic
289	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
290	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
291	C₂₉×#103	C₂³	1	2	yes	—
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	2	yes	—
296	C₂₉×#103	C₂³	1	2	yes	—
297	C₂₉×#103	C₂³	1	2	yes	—
298	C₂₉×#103	C₂³	1	2	yes	—
299	C₂₉×#103	C₂³	1	1	yes	characteristic
300	C₂₉×#103	C₂³	1	2	yes	—
301	C₂₉×#103	C₂³	1	1	yes	characteristic
302	C₂₉×#102	C₂³	1	1	yes	characteristic
303	C₂₉×#102	C₂³	1	1	yes	characteristic
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₂₉×#97	C₂³	1	2	yes	—
314	C₄×C₈×C₂₉	C₂³	1	2	yes	—
315	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
316	#41×C₂₉	—	2	2	no	—
317	#41×C₂₉	—	2	2	no	—
318	#41×C₂₉	—	2	2	no	—
319	#41×C₂₉	—	2	2	no	—
320	#41×C₂₉	—	8	4	no	—
321	C₂×Q₈×C₂₉	—	2	1	no	—
322	C₂×Q₈×C₂₉	—	2	2	no	—
323	C₂×Q₈×C₂₉	—	2	2	no	—
324	C₂×Q₈×C₂₉	—	2	2	no	—
325	C₂×Q₈×C₂₉	—	2	2	no	—
326	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₂₉	—	2	1	no	—
330	C₂×D₄×C₂₉	—	2	1	no	—
331	C₂×D₄×C₂₉	—	2	1	no	—
332	C₂×D₄×C₂₉	—	2	2	no	—
333	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
334	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
335	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₂₉	—	2	2	no	—
339	C₂²×C₄×C₂₉	—	2	2	no	—
340	C₂²×C₄×C₂₉	—	2	1	no	—
341	C₂²×C₄×C₂₉	—	2	1	no	—
342	C₂²×C₄×C₂₉	—	2	2	no	—
343	C₂²×C₄×C₂₉	—	2	1	no	—
344	C₂²×C₄×C₂₉	—	2	1	no	—
345	C₂²×C₄×C₂₉	—	2	1	no	—
346	C₂²×C₄×C₂₉	—	2	2	no	—
347	C₂²×C₄×C₂₉	—	2	1	no	—
348	C₂²×C₄×C₂₉	—	2	2	no	—
349	C₂²×C₄×C₂₉	—	2	2	no	—
350	C₂²×C₄×C₂₉	—	2	1	no	—
351	C₂²×C₄×C₂₉	—	2	2	no	—
352	C₂²×C₄×C₂₉	—	8	2	no	—
353	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
360	Q₁₆×C₂₉	—	2	4	no	—
361	SD₁₆×C₂₉	—	2	4	no	—
362	M₁₆×C₂₉	—	2	2	no	—
363	M₁₆×C₂₉	—	2	4	no	—
364	M₁₆×C₂₉	—	2	4	no	—
365	M₁₆×C₂₉	#41	1	4	yes	complemented
366	C₂×C₈×C₂₉	—	2	2	no	—
367	C₂×C₈×C₂₉	—	2	2	no	—
368	C₂×C₈×C₂₉	—	2	4	no	—
369	C₂×C₈×C₂₉	—	2	4	no	—
370	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
372	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₂₉	—	2	1	no	—
377	C₄⋊C₄×C₂₉	—	2	1	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	2	no	—
386	C₄⋊C₄×C₂₉	—	2	1	no	—
387	C₄⋊C₄×C₂₉	—	2	2	no	—
388	C₄⋊C₄×C₂₉	—	2	2	no	—
389	C₄⋊C₄×C₂₉	—	2	2	no	—
390	C₄⋊C₄×C₂₉	—	2	2	no	—
391	C₄⋊C₄×C₂₉	—	2	2	no	—
392	C₄⋊C₄×C₂₉	—	2	2	no	—
393	C₄⋊C₄×C₂₉	—	2	2	no	—
394	C₄⋊C₄×C₂₉	—	2	2	no	—
395	C₄⋊C₄×C₂₉	—	2	1	no	—
396	C₄⋊C₄×C₂₉	—	2	2	no	—
397	C₄⋊C₄×C₂₉	—	2	2	no	—
398	C₄⋊C₄×C₂₉	—	2	2	no	—
399	C₄⋊C₄×C₂₉	—	2	1	no	—
400	C₄⋊C₄×C₂₉	—	2	2	no	—
401	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
403	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
405	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
419	C₂²⋊C₄×C₂₉	—	2	2	no	—
420	C₂²⋊C₄×C₂₉	—	2	1	no	—
421	C₂²⋊C₄×C₂₉	—	2	2	no	—
422	C₂²⋊C₄×C₂₉	—	2	1	no	—
423	C₂²⋊C₄×C₂₉	—	2	2	no	—
424	C₂²⋊C₄×C₂₉	—	2	2	no	—
425	C₂²⋊C₄×C₂₉	—	2	1	no	—
426	C₂²⋊C₄×C₂₉	—	2	2	no	—
427	C₂²⋊C₄×C₂₉	—	2	2	no	—
428	C₂²⋊C₄×C₂₉	—	2	2	no	—
429	C₂²⋊C₄×C₂₉	—	2	2	no	—
430	C₂²⋊C₄×C₂₉	—	2	1	no	—
431	C₂²⋊C₄×C₂₉	—	2	1	no	—
432	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
436	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
437	C₄²×C₂₉	—	2	1	no	—
438	C₄²×C₂₉	—	2	1	no	—
439	C₄²×C₂₉	—	2	1	no	—
440	C₄²×C₂₉	—	2	1	no	—
441	C₄²×C₂₉	—	2	2	no	—
442	C₄²×C₂₉	—	2	2	no	—
443	C₄²×C₂₉	—	2	2	no	—
444	C₄²×C₂₉	—	2	2	no	—
445	C₄²×C₂₉	—	2	2	no	—
446	C₄²×C₂₉	—	2	1	no	—
447	C₄²×C₂₉	C₂⁴	1	2	yes	—
448	#61271	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
449	C₂³×C₂₉	—	2	2	no	—
450	C₂³×C₂₉	—	2	2	no	—
451	C₂³×C₂₉	—	2	1	no	—
452	C₂³×C₂₉	—	4	1	no	—
453	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
455	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
456	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
457	Q₈×C₂₉	—	2	2	no	—
458	Q₈×C₂₉	—	2	2	no	—
459	Q₈×C₂₉	—	2	1	no	—
460	Q₈×C₂₉	—	2	2	no	—
461	Q₈×C₂₉	—	2	1	no	—
462	Q₈×C₂₉	—	4	2	no	—
463	Q₈×C₂₉	—	8	2	no	—
464	Q₈×C₂₉	—	8	2	no	—
465	D₄×C₂₉	—	2	4	no	—
466	D₄×C₂₉	—	2	4	no	—
467	D₄×C₂₉	—	2	2	no	—
468	D₄×C₂₉	—	2	1	no	—
469	D₄×C₂₉	—	2	1	no	—
470	D₄×C₂₉	—	4	2	no	—
471	D₄×C₂₉	—	4	2	no	—
472	D₄×C₂₉	—	4	2	no	—
473	D₄×C₂₉	—	4	2	no	—
474	D₄×C₂₉	—	8	2	no	—
475	C₂×C₄×C₂₉	—	2	2	no	—
476	C₂×C₄×C₂₉	—	2	2	no	—
477	C₂×C₄×C₂₉	—	2	2	no	—
478	C₂×C₄×C₂₉	—	2	1	no	—
479	C₂×C₄×C₂₉	—	2	2	no	—
480	C₂×C₄×C₂₉	—	2	1	no	—
481	C₂×C₄×C₂₉	—	2	1	no	—
482	C₂×C₄×C₂₉	—	2	1	no	—
483	C₂×C₄×C₂₉	—	2	2	no	—
484	C₂×C₄×C₂₉	—	2	1	no	—
485	C₂×C₄×C₂₉	—	2	1	no	—
486	C₂×C₄×C₂₉	—	2	1	no	—
487	C₂×C₄×C₂₉	—	2	1	no	—
488	C₂×C₄×C₂₉	—	2	1	no	—
489	C₂×C₄×C₂₉	—	2	2	no	—
490	C₂×C₄×C₂₉	—	2	1	no	—
491	C₂×C₄×C₂₉	—	2	2	no	—
492	C₂×C₄×C₂₉	—	2	2	no	—
493	C₂×C₄×C₂₉	—	2	1	no	—
494	C₂×C₄×C₂₉	—	2	2	no	—
495	C₂×C₄×C₂₉	—	4	2	no	—
496	C₂×C₄×C₂₉	—	4	2	no	—
497	C₂×C₄×C₂₉	—	4	4	no	—
498	C₂×C₄×C₂₉	—	4	2	no	—
499	C₂×C₄×C₂₉	—	8	2	no	—
500	C₂×C₄×C₂₉	—	8	2	no	—
501	C₂×C₄×C₂₉	—	8	1	no	—
502	C₂×C₄×C₂₉	—	8	1	no	—
503	C₂×C₄×C₂₉	—	8	1	no	—
504	C₂×C₄×C₂₉	—	8	2	no	—
505	C₂×C₄×C₂₉	—	8	1	no	—
506	C₂×C₄×C₂₉	—	8	2	no	—
507	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₂₉	C₂×#41	1	2	yes	—
514	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
515	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
516	C₈×C₂₉	—	2	1	no	—
517	C₈×C₂₉	—	2	1	no	—
518	C₈×C₂₉	—	2	2	no	—
519	C₈×C₂₉	—	2	1	no	—
520	C₈×C₂₉	—	2	1	no	—
521	C₈×C₂₉	C₂×#41	1	4	yes	—
522	#3495	C₂×C₂₉	1	1	yes	characteristic, complemented
523	#3492	C₂×C₂₉	1	1	yes	characteristic
524	#3356	C₂×C₂₉	1	2	yes	complemented
525	#3351	C₂×C₂₉	1	2	yes	complemented
526	#3350	C₂×C₂₉	1	2	yes	complemented
527	#3344	C₂×C₂₉	1	2	yes	complemented
528	#3344	C₂×C₂₉	1	2	yes	complemented
529	#3343	C₂×C₂₉	1	2	yes	complemented
530	#3336	C₂×C₂₉	1	2	yes	complemented
531	#3335	C₂×C₂₉	1	2	yes	complemented
532	#3163	C₂×C₂₉	1	1	yes	characteristic, complemented
533	#3099	C₂×C₂₉	1	1	yes	characteristic, complemented
534	#3097	C₂×C₂₉	1	1	yes	characteristic, complemented
535	#3091	C₂×C₂₉	1	1	yes	characteristic, complemented
536	C₂×#483	C₂×C₂₉	1	1	yes	characteristic, complemented
537	#3084	C₂×C₂₉	1	1	yes	characteristic, complemented
538	#3082	C₂×C₂₉	1	1	yes	characteristic, complemented
539	#3063	C₂×C₂₉	1	1	yes	characteristic, complemented
540	#3056	C₂×C₂₉	1	1	yes	characteristic, complemented
541	#2947	C₂×C₂₉	1	1	yes	characteristic, complemented
542	#2933	C₂×C₂₉	1	1	yes	characteristic, complemented
543	#2912	C₂×C₂₉	1	1	yes	characteristic, complemented
544	C₂×#428	C₂×C₂₉	1	1	yes	characteristic, complemented
545	C₂²×C₂₉	—	2	1	no	—
546	C₂²×C₂₉	—	2	1	no	—
547	C₂²×C₂₉	—	2	1	no	—
548	C₂²×C₂₉	—	2	1	no	—
549	C₂²×C₂₉	—	2	2	no	—
550	C₂²×C₂₉	—	2	1	no	—
551	C₂²×C₂₉	—	2	1	no	—
552	C₂²×C₂₉	—	2	2	no	—
553	C₂²×C₂₉	—	2	1	no	—
554	C₂²×C₂₉	—	2	2	no	—
555	C₂²×C₂₉	—	4	4	no	—
556	C₂²×C₂₉	—	4	1	no	—
557	C₂²×C₂₉	—	4	1	no	—
558	C₂²×C₂₉	—	4	1	no	—
559	C₂²×C₂₉	#547	1	2	yes	—
560	C₂²×C₂₉	#577	1	2	yes	—
561	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
562	C₄×C₂₉	—	2	2	no	—
563	C₄×C₂₉	—	2	1	no	—
564	C₄×C₂₉	—	2	1	no	—
565	C₄×C₂₉	—	2	2	no	—
566	C₄×C₂₉	—	2	2	no	—
567	C₄×C₂₉	—	4	1	no	—
568	C₄×C₂₉	—	4	2	no	—
569	C₄×C₂₉	—	4	1	no	—
570	C₄×C₂₉	—	4	1	no	—
571	C₄×C₂₉	—	4	1	no	—
572	C₄×C₂₉	—	4	2	no	—
573	C₄×C₂₉	—	4	1	no	—
574	C₄×C₂₉	—	4	1	no	—
575	C₄×C₂₉	—	4	2	no	—
576	C₄×C₂₉	—	4	2	no	—
577	C₄×C₂₉	—	4	1	no	—
578	C₄×C₂₉	#547	1	2	yes	—
579	C₄×C₂₉	C₂²×#41	1	1	yes	characteristic
580	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
581	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
582	C₂×#131	C₂²×C₂₉	1	1	yes	characteristic
583	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
584	#556	C₂²×C₂₉	1	2	yes	—
585	#554	—	2	1	no	—
586	#554	C₂²×C₂₉	1	2	yes	—
587	#554	C₂²×C₂₉	1	2	yes	—
588	#553	—	2	1	no	—
589	#553	C₂²×C₂₉	1	2	yes	—
590	#552	—	2	2	no	—
591	#552	—	2	1	no	—
592	#552	C₂²×C₂₉	1	2	yes	—
593	#552	C₂²×C₂₉	1	2	yes	—
594	#552	C₂²×C₂₉	1	2	yes	—
595	#551	—	2	2	no	—
596	#547	—	2	1	no	—
597	#547	C₂²×C₂₉	1	2	yes	—
598	#544	C₂²×C₂₉	1	1	yes	characteristic
599	#544	C₂²×C₂₉	1	1	yes	characteristic
600	#542	—	2	1	no	—
601	#541	—	2	1	no	—
602	#539	—	2	2	no	—
603	#537	C₂²×C₂₉	1	1	yes	characteristic
604	#536	C₂²×C₂₉	1	1	yes	characteristic
605	#533	—	2	1	no	—
606	#529	—	2	1	no	—
607	#525	—	2	2	no	—
608	#525	C₂²×C₂₉	1	1	yes	characteristic
609	#525	C₂²×C₂₉	1	1	yes	characteristic
610	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
611	#520	C₂²×C₂₉	1	1	yes	characteristic
612	#520	C₂²×C₂₉	1	1	yes	characteristic
613	#520	C₂²×C₂₉	1	1	yes	characteristic
614	#519	C₂²×C₂₉	1	1	yes	characteristic
615	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
616	C₂²×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
617	#501	C₂²×C₂₉	1	2	yes	complemented
618	#501	C₂²×C₂₉	1	2	yes	complemented
619	#499	C₂²×C₂₉	1	2	yes	complemented
620	#498	C₂²×C₂₉	1	2	yes	complemented
621	#485	C₂²×C₂₉	1	1	yes	characteristic
622	#485	C₂²×C₂₉	1	1	yes	characteristic
623	#485	C₂²×C₂₉	1	2	yes	complemented
624	#485	C₂²×C₂₉	1	2	yes	complemented
625	#485	C₂²×C₂₉	1	2	yes	complemented
626	#484	C₂²×C₂₉	1	1	yes	characteristic
627	#484	C₂²×C₂₉	1	2	yes	complemented
628	#483	C₂²×C₂₉	1	2	yes	—
629	#483	C₂²×C₂₉	1	1	yes	characteristic
630	#483	C₂²×C₂₉	1	2	yes	—
631	#483	C₂²×C₂₉	1	2	yes	—
632	#483	C₂²×C₂₉	1	2	yes	—
633	#483	C₂²×C₂₉	1	2	yes	complemented
634	#483	C₂²×C₂₉	1	2	yes	complemented
635	#482	C₂²×C₂₉	1	1	yes	characteristic
636	#482	C₂²×C₂₉	1	1	yes	characteristic
637	#482	C₂²×C₂₉	1	2	yes	complemented
638	#481	C₂²×C₂₉	1	1	yes	characteristic
639	#481	C₂²×C₂₉	1	2	yes	complemented
640	#480	C₂²×C₂₉	1	1	yes	characteristic
641	#479	C₂²×C₂₉	1	2	yes	complemented
642	#479	C₂²×C₂₉	1	2	yes	complemented
643	#479	C₂²×C₂₉	1	2	yes	complemented
644	#478	C₂²×C₂₉	1	2	yes	complemented
645	#477	C₂²×C₂₉	1	2	yes	complemented
646	#476	C₂²×C₂₉	1	2	yes	complemented
647	#475	C₂²×C₂₉	1	2	yes	complemented
648	#475	C₂²×C₂₉	1	2	yes	complemented
649	#470	C₂²×C₂₉	1	2	yes	—
650	#470	C₂²×C₂₉	1	2	yes	complemented
651	#468	C₂²×C₂₉	1	2	yes	—
652	#468	C₂²×C₂₉	1	2	yes	complemented
653	#467	C₂²×C₂₉	1	2	yes	—
654	#467	C₂²×C₂₉	1	2	yes	complemented
655	#465	C₂²×C₂₉	1	2	yes	—
656	#465	C₂²×C₂₉	1	2	yes	complemented
657	#441	C₂²×C₂₉	1	2	yes	complemented
658	#440	C₂²×C₂₉	1	2	yes	complemented
659	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	complemented
660	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
661	#436	C₂²×C₂₉	1	2	yes	—
662	#435	C₂²×C₂₉	1	2	yes	—
663	#435	C₂²×C₂₉	1	2	yes	—
664	C₈×D₄	C₂²×C₂₉	1	2	yes	—
665	#428	C₂²×C₂₉	1	1	yes	characteristic
666	#428	C₂²×C₂₉	1	1	yes	characteristic
667	#428	C₂²×C₂₉	1	2	yes	—
668	#428	C₂²×C₂₉	1	2	yes	—
669	#428	C₂²×C₂₉	1	1	yes	characteristic
670	#428	C₂²×C₂₉	1	1	yes	characteristic
671	#428	C₂²×C₂₉	1	1	yes	characteristic
672	#428	C₂²×C₂₉	1	2	yes	complemented
673	#428	C₂²×C₂₉	1	2	yes	complemented
674	#427	C₂²×C₂₉	1	1	yes	characteristic
675	#427	C₂²×C₂₉	1	1	yes	characteristic
676	#427	C₂²×C₂₉	1	2	yes	complemented
677	C₂×#107	C₂²×C₂₉	1	2	yes	—
678	C₂×#106	C₂²×C₂₉	1	2	yes	—
679	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
680	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
681	C₂×#106	C₂²×C₂₉	1	2	yes	complemented
682	#424	C₂²×C₂₉	1	1	yes	characteristic
683	#419	C₂²×C₂₉	1	1	yes	characteristic
684	#417	C₂²×C₂₉	1	1	yes	characteristic
685	#416	C₂²×C₂₉	1	1	yes	characteristic
686	#416	C₂²×C₂₉	1	1	yes	characteristic
687	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
688	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
689	#408	C₂²×C₂₉	1	1	yes	characteristic
690	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
691	#405	C₂²×C₂₉	1	1	yes	characteristic
692	C₂×C₂₉	—	2	2	no	—
693	C₂×C₂₉	—	2	2	no	—
694	C₂×C₂₉	—	4	2	no	—
695	C₂×C₂₉	—	4	1	no	—
696	C₂×C₂₉	—	8	1	no	—
697	C₂×C₂₉	C₂×#547	1	1	yes	characteristic
698	C₂×C₂₉	C₂×#577	1	1	yes	characteristic
699	C₂×C₂₉	#3586	1	1	yes	characteristic
700	C₂×#41	—	2	2	no	—
701	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
702	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
703	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
704	C₂³×C₄	—	2	1	no	—
705	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
706	#137	—	2	4	no	—
707	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
709	#131	—	2	4	no	—
710	C₂×M₁₆	—	2	4	no	—
711	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
712	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
713	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
714	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
715	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
716	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
717	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
718	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	C₂³×C₂₉	1	2	yes	—
738	#125	C₂³×C₂₉	1	2	yes	—
739	#124	—	2	1	no	—
740	#124	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	1	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	D₄×C₂₉	1	2	yes	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
761	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
765	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
767	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
768	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	—	2	1	no	—
772	#121	D₄×C₂₉	1	1	yes	characteristic
773	#121	D₄×C₂₉	1	1	yes	characteristic
774	#121	C₂³×C₂₉	1	1	yes	characteristic
775	#121	C₂³×C₂₉	1	1	yes	characteristic
776	#121	C₂³×C₂₉	1	2	yes	—
777	#120	—	2	1	no	—
778	#120	D₄×C₂₉	1	2	yes	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	2	2	no	—
784	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
785	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
786	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	C₂³×C₂₉	1	2	yes	—
798	C₄×D₄	C₂³×C₂₉	1	2	yes	—
799	C₄×D₄	C₂³×C₂₉	1	2	yes	—
800	#117	—	2	1	no	—
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	2	no	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	C₂³×C₂₉	1	1	yes	characteristic
808	#117	C₂³×C₂₉	1	1	yes	characteristic
809	#117	C₂³×C₂₉	1	1	yes	characteristic
810	#117	C₂³×C₂₉	1	1	yes	characteristic
811	#117	C₂³×C₂₉	1	1	yes	characteristic
812	#117	C₂³×C₂₉	1	2	yes	—
813	#117	C₂³×C₂₉	1	2	yes	—
814	#117	C₂³×C₂₉	1	1	yes	characteristic
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	—	2	1	no	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
828	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
829	C₂×C₂²⋊C₄	—	2	1	no	—
830	C₂×C₂²⋊C₄	—	2	1	no	—
831	C₂×C₄²	—	2	1	no	—
832	#107	C₂³×C₂₉	1	2	yes	—
833	#107	C₂³×C₂₉	1	2	yes	—
834	#107	C₂³×C₂₉	1	2	yes	—
835	#107	C₂³×C₂₉	1	2	yes	—
836	#107	C₂³×C₂₉	1	1	yes	characteristic
837	#107	C₂³×C₂₉	1	1	yes	characteristic
838	#107	C₂³×C₂₉	1	1	yes	characteristic
839	#107	C₂³×C₂₉	1	1	yes	characteristic
840	#107	C₂³×C₂₉	1	2	yes	—
841	#106	C₂³×C₂₉	1	2	yes	—
842	#106	C₂³×C₂₉	1	2	yes	—
843	#106	C₂³×C₂₉	1	2	yes	—
844	#106	C₂³×C₂₉	1	2	yes	—
845	#106	C₂³×C₂₉	1	2	yes	—
846	#106	C₂³×C₂₉	1	2	yes	—
847	#106	C₂³×C₂₉	1	2	yes	—
848	#106	C₂³×C₂₉	1	2	yes	—
849	#106	C₂³×C₂₉	1	1	yes	characteristic
850	#106	C₂³×C₂₉	1	2	yes	—
851	#106	C₂³×C₂₉	1	1	yes	characteristic
852	#106	C₂³×C₂₉	1	1	yes	characteristic
853	#106	C₂³×C₂₉	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
855	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
856	#103	C₂³×C₂₉	1	2	yes	—
857	#103	C₂³×C₂₉	1	2	yes	—
858	#103	C₂³×C₂₉	1	2	yes	—
859	#103	C₂³×C₂₉	1	2	yes	—
860	#103	C₂³×C₂₉	1	1	yes	characteristic
861	#103	C₂³×C₂₉	1	1	yes	characteristic
862	#103	C₂³×C₂₉	1	1	yes	characteristic
863	#103	C₂³×C₂₉	1	1	yes	characteristic
864	#103	C₂³×C₂₉	1	2	yes	—
865	#103	C₂³×C₂₉	1	2	yes	—
866	#103	C₂³×C₂₉	1	2	yes	—
867	#102	C₂³×C₂₉	1	1	yes	characteristic
868	#102	C₂³×C₂₉	1	1	yes	characteristic
869	#102	C₂³×C₂₉	1	1	yes	characteristic
870	#102	C₂³×C₂₉	1	1	yes	characteristic
871	#102	C₂³×C₂₉	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
873	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
874	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
875	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
876	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
878	#97	C₂³×C₂₉	1	2	yes	—
879	C₄×C₈	C₂³×C₂₉	1	2	yes	—
880	C₂₉	#61271	1	1	yes	characteristic, direct product factor, Sylow
881	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	—	2	2	no	—
886	#41	—	8	4	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
900	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
901	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
902	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
903	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	8	2	no	—
919	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
921	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
924	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
926	Q₁₆	—	2	4	no	—
927	SD₁₆	—	2	4	no	—
928	M₁₆	—	2	2	no	—
929	M₁₆	—	2	4	no	—
930	M₁₆	—	2	4	no	—
931	M₁₆	#41×C₂₉	1	4	yes	complemented
932	C₂×C₈	—	2	2	no	—
933	C₂×C₈	—	2	2	no	—
934	C₂×C₈	—	2	4	no	—
935	C₂×C₈	—	2	4	no	—
936	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
941	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1000	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1001	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1002	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	C₂⁴×C₂₉	1	2	yes	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	4	1	no	—
1018	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1019	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
1020	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1021	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	4	2	no	—
1028	Q₈	—	8	2	no	—
1029	Q₈	—	8	2	no	—
1030	D₄	—	2	4	no	—
1031	D₄	—	2	4	no	—
1032	D₄	—	2	2	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	8	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	4	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	1	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	1	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	—	8	1	no	—
1071	C₂×C₄	—	8	1	no	—
1072	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1078	C₂×C₄	C₂×#41×C₂₉	1	2	yes	—
1079	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
1080	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1081	C₈	—	2	1	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	2	no	—
1084	C₈	—	2	1	no	—
1085	C₈	—	2	1	no	—
1086	C₈	C₂×#41×C₂₉	1	4	yes	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	4	4	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	C₂₉×#547	1	2	yes	—
1102	C₂²	C₂₉×#577	1	2	yes	—
1103	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	2	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	2	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	2	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	C₂₉×#547	1	2	yes	—
1121	C₄	C₂²×#41×C₂₉	1	1	yes	characteristic
1122	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
1123	C₂	—	2	2	no	—
1124	C₂	—	2	2	no	—
1125	C₂	—	4	1	no	—
1126	C₂	—	4	2	no	—
1127	C₂	—	8	1	no	—
1128	C₂	C₂×C₂₉×#547	1	1	yes	characteristic
1129	C₂	C₂×C₂₉×#577	1	1	yes	characteristic
1130	C₂	C₂₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₉
prime radical	C₂₉×#3492	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₂₉×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3495	C₂	semidirect
3. C₂₉×#3356	C₂	semidirect
4. C₂₉×#3351	C₂	semidirect
5. C₂₉×#3350	C₂	semidirect
6. C₂₉×#3344	C₂	semidirect
7. C₂₉×#3344	C₂	semidirect
8. C₂₉×#3343	C₂	semidirect
9. C₂₉×#3336	C₂	semidirect
10. C₂₉×#3335	C₂	semidirect
11. C₂₉×#3163	C₂	semidirect
12. C₂₉×#3099	C₂	semidirect
13. C₂₉×#3097	C₂	semidirect
14. C₂₉×#3091	C₂	semidirect
15. C₂×C₂₉×#483	C₂	semidirect
16. C₂₉×#3084	C₂	semidirect
17. C₂₉×#3082	C₂	semidirect
18. C₂₉×#3063	C₂	semidirect
19. C₂₉×#3056	C₂	semidirect
20. C₂₉×#2947	C₂	semidirect
21. C₂₉×#2933	C₂	semidirect
22. C₂₉×#2912	C₂	semidirect
23. C₂×C₂₉×#428	C₂	semidirect
60. C₂₉×#501	C₂²	semidirect
61. C₂₉×#501	C₂²	semidirect
62. C₂₉×#499	C₂²	semidirect
63. C₂₉×#498	C₂²	semidirect
66. C₂₉×#485	C₂²	semidirect
67. C₂₉×#485	C₂²	semidirect
68. C₂₉×#485	C₂²	semidirect
70. C₂₉×#484	C₂²	semidirect
76. C₂₉×#483	C₂²	semidirect
77. C₂₉×#483	C₂²	semidirect
80. C₂₉×#482	C₂²	semidirect
82. C₂₉×#481	C₂²	semidirect
84. C₂₉×#479	C₂²	semidirect
85. C₂₉×#479	C₂²	semidirect
86. C₂₉×#479	C₂²	semidirect
87. C₂₉×#478	C₂²	semidirect
88. C₂₉×#477	C₂²	semidirect
89. C₂₉×#476	C₂²	semidirect
90. C₂₉×#475	C₂²	semidirect
91. C₂₉×#475	C₂²	semidirect
93. C₂₉×#470	C₂²	semidirect
95. C₂₉×#468	C₂²	semidirect
97. C₂₉×#467	C₂²	semidirect
99. C₂₉×#465	C₂²	semidirect
100. C₂₉×#441	C₂²	semidirect
101. C₂₉×#440	C₂²	semidirect
102. C₄×Q₁₆×C₂₉	C₂²	semidirect
103. C₄×SD₁₆×C₂₉	C₂²	semidirect
115. C₂₉×#428	C₂²	semidirect
116. C₂₉×#428	C₂²	semidirect
119. C₂₉×#427	C₂²	semidirect
124. C₂×C₂₉×#106	C₂²	semidirect
365. M₁₆×C₂₉	#41	semidirect
448. #61271	C₂₉	direct (N × H)
522. #3495	C₂×C₂₉	semidirect
524. #3356	C₂×C₂₉	semidirect
525. #3351	C₂×C₂₉	semidirect
526. #3350	C₂×C₂₉	semidirect
527. #3344	C₂×C₂₉	semidirect
528. #3344	C₂×C₂₉	semidirect
529. #3343	C₂×C₂₉	semidirect
530. #3336	C₂×C₂₉	semidirect
531. #3335	C₂×C₂₉	semidirect
532. #3163	C₂×C₂₉	semidirect
533. #3099	C₂×C₂₉	semidirect
534. #3097	C₂×C₂₉	semidirect
535. #3091	C₂×C₂₉	semidirect
536. C₂×#483	C₂×C₂₉	semidirect
537. #3084	C₂×C₂₉	semidirect
538. #3082	C₂×C₂₉	semidirect
539. #3063	C₂×C₂₉	semidirect
540. #3056	C₂×C₂₉	semidirect
541. #2947	C₂×C₂₉	semidirect
542. #2933	C₂×C₂₉	semidirect
543. #2912	C₂×C₂₉	semidirect
544. C₂×#428	C₂×C₂₉	semidirect
617. #501	C₂²×C₂₉	semidirect
618. #501	C₂²×C₂₉	semidirect
619. #499	C₂²×C₂₉	semidirect
620. #498	C₂²×C₂₉	semidirect
623. #485	C₂²×C₂₉	semidirect
624. #485	C₂²×C₂₉	semidirect
625. #485	C₂²×C₂₉	semidirect
627. #484	C₂²×C₂₉	semidirect
633. #483	C₂²×C₂₉	semidirect
634. #483	C₂²×C₂₉	semidirect
637. #482	C₂²×C₂₉	semidirect
639. #481	C₂²×C₂₉	semidirect
641. #479	C₂²×C₂₉	semidirect
642. #479	C₂²×C₂₉	semidirect
643. #479	C₂²×C₂₉	semidirect
644. #478	C₂²×C₂₉	semidirect
645. #477	C₂²×C₂₉	semidirect
646. #476	C₂²×C₂₉	semidirect
647. #475	C₂²×C₂₉	semidirect
648. #475	C₂²×C₂₉	semidirect
650. #470	C₂²×C₂₉	semidirect
652. #468	C₂²×C₂₉	semidirect
654. #467	C₂²×C₂₉	semidirect
656. #465	C₂²×C₂₉	semidirect
657. #441	C₂²×C₂₉	semidirect
658. #440	C₂²×C₂₉	semidirect
659. C₄×Q₁₆	C₂²×C₂₉	semidirect
660. C₄×SD₁₆	C₂²×C₂₉	semidirect
672. #428	C₂²×C₂₉	semidirect
673. #428	C₂²×C₂₉	semidirect
676. #427	C₂²×C₂₉	semidirect
681. C₂×#106	C₂²×C₂₉	semidirect
880. C₂₉	#61271	direct (N × H)
931. M₁₆	#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×#3495	2
C₂₉×#3492	2
C₂₉×#3356	2
C₂₉×#3351	2
C₂₉×#3350	2
C₂₉×#3344	2
C₂₉×#3343	2
C₂₉×#3336	2
C₂₉×#3335	2
C₂₉×#3163	2
C₂₉×#3099	2
C₂₉×#3097	2
C₂₉×#3091	2
C₂×C₂₉×#483	2
C₂₉×#3084	2
C₂₉×#3082	2
C₂₉×#3063	2
C₂₉×#3056	2
C₂₉×#2947	2
C₂₉×#2933	2
C₂₉×#2912	2
C₂×C₂₉×#428	2
#61271	29

Subgroups — C29×#61271 #20356171

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#61271 #20356171