Subgroups — C₂₉×#62069 #20356969

Order 7424.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3395	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3315	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3300	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3283	C₂	1	2	yes	maximal, complemented
13	C₂₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3269	C₂	1	2	yes	maximal, complemented
15	C₂₉×#3258	C₂	1	2	yes	maximal, complemented
16	C₂₉×#3249	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3223	C₂	1	2	yes	maximal, complemented
18	C₂₉×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3124	C₂	1	2	yes	maximal, complemented
20	C₂₉×#3107	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3046	C₂	1	2	yes	maximal, complemented
22	C₂₉×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₂₉×#137	C₂²	1	2	yes	—
25	C₂×C₂₉×#135	C₂²	1	2	yes	—
26	C₂×C₂₉×#135	C₂²	1	2	yes	—
27	C₂₉×#562	—	2	2	no	—
28	C₂₉×#559	—	2	1	no	—
29	C₂₉×#559	C₂²	1	1	yes	characteristic
30	C₂₉×#557	C₂²	1	1	yes	characteristic
31	C₂₉×#557	C₂²	1	1	yes	characteristic
32	C₂₉×#554	—	2	1	no	—
33	C₂₉×#554	C₂²	1	1	yes	characteristic
34	C₂₉×#554	C₂²	1	1	yes	characteristic
35	C₂₉×#553	—	2	1	no	—
36	C₂₉×#552	—	2	2	no	—
37	C₂₉×#552	—	2	1	no	—
38	C₂₉×#552	C₂²	1	2	yes	—
39	C₂₉×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
41	C₂₉×#548	C₂²	1	2	yes	—
42	C₂₉×#547	C₂²	1	2	yes	—
43	C₂₉×#547	C₂²	1	1	yes	characteristic
44	C₂₉×#547	C₂²	1	2	yes	—
45	C₂₉×#542	—	2	1	no	—
46	C₂₉×#542	C₂²	1	2	yes	—
47	C₂₉×#541	C₂²	1	2	yes	—
48	C₂₉×#540	—	2	1	no	—
49	C₂₉×#539	—	2	2	no	—
50	C₂₉×#539	—	2	2	no	—
51	C₂₉×#536	C₂²	1	2	yes	—
52	C₂₉×#533	C₂²	1	1	yes	characteristic
53	C₂₉×#533	C₂²	1	1	yes	characteristic
54	C₂₉×#532	C₂²	1	1	yes	characteristic
55	C₂₉×#529	—	2	1	no	—
56	C₂₉×#529	C₂²	1	1	yes	characteristic
57	C₂×C₂₉×#125	—	2	1	no	—
58	C₂₉×#520	C₂²	1	2	yes	—
59	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
60	C₂₉×#497	C₂²	1	2	yes	—
61	C₂₉×#494	C₂²	1	1	yes	characteristic
62	C₂₉×#494	C₂²	1	2	yes	—
63	C₂₉×#492	C₂²	1	1	yes	characteristic
64	C₂₉×#491	C₂²	1	2	yes	—
65	C₂₉×#488	C₂²	1	2	yes	—
66	C₂₉×#487	C₂²	1	1	yes	characteristic
67	C₂₉×#486	C₂²	1	1	yes	characteristic
68	C₂₉×#485	C₂²	1	1	yes	characteristic
69	C₂₉×#485	C₂²	1	1	yes	characteristic
70	C₂₉×#484	C₂²	1	2	yes	—
71	C₂₉×#480	C₂²	1	2	yes	—
72	C₂₉×#479	C₂²	1	2	yes	—
73	C₂₉×#478	C₂²	1	2	yes	—
74	C₂₉×#477	C₂²	1	2	yes	—
75	C₂₉×#477	C₂²	1	1	yes	characteristic
76	C₂₉×#477	C₂²	1	1	yes	characteristic
77	C₂₉×#475	C₂²	1	1	yes	characteristic
78	C₂₉×#474	C₂²	1	1	yes	characteristic
79	C₂₉×#470	C₂²	1	2	yes	—
80	C₂₉×#468	C₂²	1	2	yes	—
81	C₂₉×#467	C₂²	1	2	yes	—
82	C₂₉×#467	C₂²	1	2	yes	—
83	C₂₉×#467	C₂²	1	2	yes	—
84	C₂₉×#465	C₂²	1	2	yes	—
85	C₂₉×#464	C₂²	1	2	yes	—
86	C₂₉×#464	C₂²	1	2	yes	—
87	C₂₉×#464	C₂²	1	2	yes	—
88	C₂₉×#464	C₂²	1	2	yes	—
89	C₂₉×#463	C₂²	1	2	yes	—
90	C₂₉×#463	C₂²	1	2	yes	—
91	C₂₉×#462	C₂²	1	1	yes	characteristic
92	C₂₉×#462	C₂²	1	2	yes	—
93	C₂₉×#462	C₂²	1	1	yes	characteristic
94	C₂₉×#462	C₂²	1	1	yes	characteristic
95	C₂₉×#462	C₂²	1	2	yes	—
96	C₂₉×#462	C₂²	1	1	yes	characteristic
97	C₂₉×#462	C₂²	1	2	yes	—
98	C₂₉×#461	C₂²	1	2	yes	—
99	C₂₉×#461	C₂²	1	1	yes	characteristic
100	C₂₉×#461	C₂²	1	2	yes	—
101	C₂₉×#461	C₂²	1	1	yes	characteristic
102	C₂₉×#460	C₂²	1	1	yes	characteristic
103	C₂₉×#459	C₂²	1	1	yes	characteristic
104	C₂₉×#452	C₂²	1	2	yes	—
105	C₂₉×#452	C₂²	1	2	yes	—
106	C₂₉×#452	C₂²	1	2	yes	—
107	C₂₉×#452	C₂²	1	2	yes	—
108	C₂₉×#452	C₂²	1	1	yes	characteristic
109	C₂₉×#452	C₂²	1	2	yes	—
110	C₂₉×#452	C₂²	1	1	yes	characteristic
111	C₂₉×#451	C₂²	1	2	yes	—
112	C₂₉×#451	C₂²	1	2	yes	—
113	C₂₉×#449	C₂²	1	2	yes	—
114	C₂₉×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₂₉	C₂²	1	1	yes	characteristic
116	C₂₉×#440	C₂²	1	2	yes	—
117	C₂₉×#440	C₂²	1	2	yes	—
118	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
119	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	—
120	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic
121	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
122	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
123	C₄×D₈×C₂₉	C₂²	1	2	yes	—
124	C₂₉×#436	C₂²	1	1	yes	characteristic
125	C₂₉×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₂₉	C₂²	1	2	yes	—
127	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic
128	C₂₉×#433	C₂²	1	2	yes	—
129	C₂₉×#431	C₂²	1	1	yes	characteristic
130	C₂₉×#424	C₂²	1	2	yes	—
131	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	C₂₉×#417	C₂²	1	2	yes	—
133	C₂₉×#416	C₂²	1	2	yes	—
134	C₂×C₂₉×#103	C₂²	1	2	yes	—
135	C₂×#41×C₂₉	C₂³	1	2	yes	—
136	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
137	C₂×#41×C₂₉	C₂³	1	2	yes	—
138	C₂×#41×C₂₉	C₂³	1	2	yes	—
139	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
140	C₂₉×#137	—	4	4	no	—
141	C₂₉×#135	—	4	4	no	—
142	C₂₉×#135	—	4	4	no	—
143	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
152	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
154	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
155	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
156	C₂×D₈×C₂₉	C₂³	1	2	yes	—
157	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
158	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
159	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
160	C₂₉×C₄⋊Q₈	—	2	1	no	—
161	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₂₉×#127	—	2	1	no	—
169	C₂₉×#127	C₂³	1	1	yes	characteristic
170	C₂₉×#126	—	2	2	no	—
171	C₂₉×#126	—	2	2	no	—
172	C₂₉×#126	—	2	2	no	—
173	C₂₉×#126	—	2	2	no	—
174	C₂₉×#126	D₄	1	2	yes	—
175	C₂₉×#125	—	2	2	no	—
176	C₂₉×#125	—	2	2	no	—
177	C₂₉×#125	—	2	1	no	—
178	C₂₉×#125	—	2	1	no	—
179	C₂₉×#125	—	2	2	no	—
180	C₂₉×#125	—	2	2	no	—
181	C₂₉×#125	—	2	1	no	—
182	C₂₉×#125	—	2	2	no	—
183	C₂₉×#125	—	2	1	no	—
184	C₂₉×#125	—	2	1	no	—
185	C₂₉×#125	D₄	1	1	yes	characteristic
186	C₂₉×#125	C₂³	1	2	yes	—
187	C₂₉×#124	—	2	1	no	—
188	C₂₉×#124	—	2	2	no	—
189	C₂₉×#124	—	2	2	no	—
190	C₂₉×#124	D₄	1	1	yes	characteristic
191	C₂₉×#124	C₂³	1	2	yes	—
192	C₂₉×#124	C₂³	1	2	yes	—
193	C₂₉×#123	—	2	2	no	—
194	C₂₉×#123	—	2	2	no	—
195	C₂₉×#123	—	2	2	no	—
196	C₂₉×#123	—	2	2	no	—
197	C₂₉×#123	—	2	2	no	—
198	C₂₉×#123	—	2	2	no	—
199	C₂₉×#123	—	2	2	no	—
200	C₂₉×#123	—	2	2	no	—
201	C₂₉×#123	—	2	2	no	—
202	C₂₉×#123	—	2	2	no	—
203	C₂₉×#123	D₄	1	2	yes	—
204	C₂₉×C₂²⋊Q₈	—	2	1	no	—
205	C₂₉×C₂²⋊Q₈	—	2	1	no	—
206	C₂₉×C₂²⋊Q₈	—	2	1	no	—
207	C₂₉×C₂²⋊Q₈	—	2	2	no	—
208	C₂₉×C₂²⋊Q₈	—	2	2	no	—
209	C₂₉×C₂²⋊Q₈	—	2	2	no	—
210	C₂₉×C₂²⋊Q₈	—	2	2	no	—
211	C₂₉×C₂²⋊Q₈	—	2	2	no	—
212	C₂₉×C₂²⋊Q₈	—	2	2	no	—
213	C₂₉×C₂²⋊Q₈	—	2	2	no	—
214	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
215	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₂₉×#121	—	2	1	no	—
222	C₂₉×#121	—	2	2	no	—
223	C₂₉×#121	—	2	2	no	—
224	C₂₉×#121	—	2	2	no	—
225	C₂₉×#121	—	2	1	no	—
226	C₂₉×#121	—	2	1	no	—
227	C₂₉×#121	—	2	2	no	—
228	C₂₉×#121	D₄	1	1	yes	characteristic
229	C₂₉×#121	C₂³	1	2	yes	—
230	C₄×Q₈×C₂₉	—	2	1	no	—
231	C₄×Q₈×C₂₉	—	2	1	no	—
232	C₄×Q₈×C₂₉	—	2	1	no	—
233	C₄×Q₈×C₂₉	—	2	1	no	—
234	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
238	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₂₉	—	2	1	no	—
243	C₄×D₄×C₂₉	—	2	1	no	—
244	C₄×D₄×C₂₉	—	2	1	no	—
245	C₄×D₄×C₂₉	—	2	1	no	—
246	C₄×D₄×C₂₉	—	2	1	no	—
247	C₄×D₄×C₂₉	—	2	1	no	—
248	C₄×D₄×C₂₉	—	2	2	no	—
249	C₄×D₄×C₂₉	—	2	2	no	—
250	C₄×D₄×C₂₉	—	2	2	no	—
251	C₄×D₄×C₂₉	—	2	1	no	—
252	C₄×D₄×C₂₉	—	2	1	no	—
253	C₄×D₄×C₂₉	C₂³	1	2	yes	—
254	C₄×D₄×C₂₉	C₂³	1	2	yes	—
255	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₂₉	C₂³	1	2	yes	—
258	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
259	C₂₉×#117	—	2	1	no	—
260	C₂₉×#117	—	2	1	no	—
261	C₂₉×#117	—	2	2	no	—
262	C₂₉×#117	—	2	2	no	—
263	C₂₉×#117	—	2	1	no	—
264	C₂₉×#117	C₂³	1	1	yes	characteristic
265	C₂₉×#117	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
267	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
269	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
270	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
271	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
272	C₂×C₄²×C₂₉	—	2	1	no	—
273	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
274	C₂₉×#107	C₂³	1	2	yes	—
275	C₂₉×#107	C₂³	1	1	yes	characteristic
276	C₂₉×#107	C₂³	1	1	yes	characteristic
277	C₂₉×#107	C₂³	1	2	yes	—
278	C₂₉×#106	C₂³	1	1	yes	characteristic
279	C₂₉×#106	C₂³	1	1	yes	characteristic
280	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂₉×C₄⋊C₈	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	1	yes	characteristic
287	C₂₉×#103	C₂³	1	1	yes	characteristic
288	C₂₉×#103	C₂³	1	1	yes	characteristic
289	C₂₉×#103	C₂³	1	2	yes	—
290	C₂₉×#103	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	1	yes	characteristic
294	C₂₉×#103	C₂³	1	2	yes	—
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	2	yes	—
300	C₂₉×#103	C₂³	1	2	yes	—
301	C₂₉×#102	C₂³	1	1	yes	characteristic
302	C₂₉×#102	C₂³	1	2	yes	—
303	C₂₉×#102	C₂³	1	1	yes	characteristic
304	C₂₉×#102	C₂³	1	2	yes	—
305	C₂₉×#102	C₂³	1	2	yes	—
306	C₂₉×#102	C₂³	1	2	yes	—
307	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₂₉×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₂₉	C₂³	1	2	yes	—
315	#41×C₂₉	—	2	2	no	—
316	#41×C₂₉	—	2	4	no	—
317	#41×C₂₉	—	4	2	no	—
318	#41×C₂₉	—	4	1	no	—
319	#41×C₂₉	—	4	2	no	—
320	#41×C₂₉	—	4	2	no	—
321	#41×C₂₉	—	4	2	no	—
322	#41×C₂₉	—	4	2	no	—
323	C₂×Q₈×C₂₉	—	2	1	no	—
324	C₂×Q₈×C₂₉	—	2	1	no	—
325	C₂×Q₈×C₂₉	—	2	2	no	—
326	C₂×Q₈×C₂₉	—	4	2	no	—
327	C₂×Q₈×C₂₉	—	4	2	no	—
328	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₂₉	—	2	1	no	—
335	C₂×D₄×C₂₉	—	2	2	no	—
336	C₂×D₄×C₂₉	—	2	2	no	—
337	C₂×D₄×C₂₉	—	2	2	no	—
338	C₂×D₄×C₂₉	—	2	2	no	—
339	C₂×D₄×C₂₉	—	2	1	no	—
340	C₂×D₄×C₂₉	—	2	1	no	—
341	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
344	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₂₉	—	2	2	no	—
346	C₂²×C₄×C₂₉	—	2	2	no	—
347	C₂²×C₄×C₂₉	—	2	1	no	—
348	C₂²×C₄×C₂₉	—	2	1	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	—	2	2	no	—
353	C₂²×C₄×C₂₉	—	2	2	no	—
354	C₂²×C₄×C₂₉	—	2	2	no	—
355	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
359	Q₁₆×C₂₉	—	4	1	no	—
360	Q₁₆×C₂₉	—	4	2	no	—
361	Q₁₆×C₂₉	—	4	1	no	—
362	Q₁₆×C₂₉	—	4	2	no	—
363	Q₁₆×C₂₉	—	4	2	no	—
364	Q₁₆×C₂₉	—	4	2	no	—
365	Q₁₆×C₂₉	—	4	2	no	—
366	SD₁₆×C₂₉	—	2	2	no	—
367	SD₁₆×C₂₉	—	2	4	no	—
368	SD₁₆×C₂₉	—	2	2	no	—
369	SD₁₆×C₂₉	—	4	2	no	—
370	SD₁₆×C₂₉	—	4	2	no	—
371	SD₁₆×C₂₉	—	4	2	no	—
372	D₈×C₂₉	—	2	4	no	—
373	M₁₆×C₂₉	—	4	2	no	—
374	C₂×C₈×C₂₉	—	4	2	no	—
375	C₂×C₈×C₂₉	—	4	2	no	—
376	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
377	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
379	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
382	C₄⋊C₄×C₂₉	—	2	1	no	—
383	C₄⋊C₄×C₂₉	—	2	2	no	—
384	C₄⋊C₄×C₂₉	—	2	1	no	—
385	C₄⋊C₄×C₂₉	—	2	1	no	—
386	C₄⋊C₄×C₂₉	—	2	2	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	1	no	—
397	C₄⋊C₄×C₂₉	—	2	1	no	—
398	C₄⋊C₄×C₂₉	—	2	2	no	—
399	C₄⋊C₄×C₂₉	—	2	1	no	—
400	C₄⋊C₄×C₂₉	—	2	1	no	—
401	C₄⋊C₄×C₂₉	—	2	1	no	—
402	C₄⋊C₄×C₂₉	—	2	1	no	—
403	C₄⋊C₄×C₂₉	—	2	1	no	—
404	C₄⋊C₄×C₂₉	—	2	2	no	—
405	C₄⋊C₄×C₂₉	—	2	1	no	—
406	C₄⋊C₄×C₂₉	—	2	2	no	—
407	C₄⋊C₄×C₂₉	—	2	1	no	—
408	C₄⋊C₄×C₂₉	—	2	2	no	—
409	C₄⋊C₄×C₂₉	—	2	1	no	—
410	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
411	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
412	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
413	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
414	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
415	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
417	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
418	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
419	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
421	C₂²⋊C₄×C₂₉	—	2	1	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	1	no	—
429	C₂²⋊C₄×C₂₉	—	2	1	no	—
430	C₂²⋊C₄×C₂₉	—	2	2	no	—
431	C₂²⋊C₄×C₂₉	—	2	2	no	—
432	C₂²⋊C₄×C₂₉	—	2	2	no	—
433	C₂²⋊C₄×C₂₉	—	2	2	no	—
434	C₂²⋊C₄×C₂₉	—	2	2	no	—
435	C₂²⋊C₄×C₂₉	—	2	2	no	—
436	C₂²⋊C₄×C₂₉	—	2	2	no	—
437	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
438	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
439	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
440	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
441	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
442	C₄²×C₂₉	—	2	1	no	—
443	C₄²×C₂₉	—	2	1	no	—
444	C₄²×C₂₉	—	2	1	no	—
445	C₄²×C₂₉	—	2	2	no	—
446	C₄²×C₂₉	—	2	2	no	—
447	C₄²×C₂₉	—	2	1	no	—
448	C₄²×C₂₉	—	2	1	no	—
449	C₄²×C₂₉	—	2	2	no	—
450	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
451	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
453	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
454	C₄²×C₂₉	C₂⁴	1	2	yes	—
455	#62069	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
456	C₂³×C₂₉	—	2	1	no	—
457	C₂³×C₂₉	—	2	2	no	—
458	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
459	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
460	Q₈×C₂₉	—	2	2	no	—
461	Q₈×C₂₉	—	2	1	no	—
462	Q₈×C₂₉	—	2	2	no	—
463	Q₈×C₂₉	—	2	1	no	—
464	Q₈×C₂₉	—	2	1	no	—
465	Q₈×C₂₉	—	2	2	no	—
466	Q₈×C₂₉	—	2	2	no	—
467	Q₈×C₂₉	—	2	1	no	—
468	Q₈×C₂₉	—	2	1	no	—
469	Q₈×C₂₉	—	2	2	no	—
470	Q₈×C₂₉	—	2	1	no	—
471	Q₈×C₂₉	—	8	1	no	—
472	Q₈×C₂₉	—	8	1	no	—
473	Q₈×C₂₉	—	8	2	no	—
474	D₄×C₂₉	—	2	2	no	—
475	D₄×C₂₉	—	2	2	no	—
476	D₄×C₂₉	—	2	1	no	—
477	D₄×C₂₉	—	2	2	no	—
478	D₄×C₂₉	—	4	2	no	—
479	D₄×C₂₉	—	4	4	no	—
480	D₄×C₂₉	—	4	2	no	—
481	D₄×C₂₉	—	4	2	no	—
482	D₄×C₂₉	—	8	1	no	—
483	D₄×C₂₉	—	8	2	no	—
484	D₄×C₂₉	—	8	2	no	—
485	D₄×C₂₉	—	8	2	no	—
486	D₄×C₂₉	H(5,𝔽₂)	1	2	yes	—
487	C₂×C₄×C₂₉	—	2	2	no	—
488	C₂×C₄×C₂₉	—	2	1	no	—
489	C₂×C₄×C₂₉	—	2	2	no	—
490	C₂×C₄×C₂₉	—	2	2	no	—
491	C₂×C₄×C₂₉	—	2	1	no	—
492	C₂×C₄×C₂₉	—	2	1	no	—
493	C₂×C₄×C₂₉	—	2	1	no	—
494	C₂×C₄×C₂₉	—	2	1	no	—
495	C₂×C₄×C₂₉	—	2	1	no	—
496	C₂×C₄×C₂₉	—	2	2	no	—
497	C₂×C₄×C₂₉	—	2	1	no	—
498	C₂×C₄×C₂₉	—	2	1	no	—
499	C₂×C₄×C₂₉	—	2	2	no	—
500	C₂×C₄×C₂₉	—	2	2	no	—
501	C₂×C₄×C₂₉	—	2	1	no	—
502	C₂×C₄×C₂₉	—	4	1	no	—
503	C₂×C₄×C₂₉	—	4	2	no	—
504	C₂×C₄×C₂₉	—	4	4	no	—
505	C₂×C₄×C₂₉	—	4	2	no	—
506	C₂×C₄×C₂₉	—	8	1	no	—
507	C₂×C₄×C₂₉	—	8	2	no	—
508	C₂×C₄×C₂₉	—	8	2	no	—
509	C₂×C₄×C₂₉	—	8	2	no	—
510	C₂×C₄×C₂₉	—	8	2	no	—
511	C₂×C₄×C₂₉	—	8	2	no	—
512	C₂×C₄×C₂₉	—	8	2	no	—
513	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
522	C₈×C₂₉	—	2	2	no	—
523	C₈×C₂₉	—	2	1	no	—
524	C₈×C₂₉	—	2	2	no	—
525	C₈×C₂₉	—	2	1	no	—
526	C₈×C₂₉	—	2	1	no	—
527	C₈×C₂₉	—	2	1	no	—
528	#3554	C₂×C₂₉	1	1	yes	characteristic, complemented
529	#3515	C₂×C₂₉	1	1	yes	characteristic, complemented
530	#3400	C₂×C₂₉	1	1	yes	characteristic, complemented
531	#3395	C₂×C₂₉	1	1	yes	characteristic, complemented
532	#3372	C₂×C₂₉	1	1	yes	characteristic, complemented
533	#3361	C₂×C₂₉	1	1	yes	characteristic, complemented
534	#3333	C₂×C₂₉	1	1	yes	characteristic, complemented
535	#3315	C₂×C₂₉	1	2	yes	complemented
536	#3300	C₂×C₂₉	1	2	yes	complemented
537	#3299	C₂×C₂₉	1	1	yes	characteristic, complemented
538	#3284	C₂×C₂₉	1	1	yes	characteristic, complemented
539	#3283	C₂×C₂₉	1	2	yes	complemented
540	#3276	C₂×C₂₉	1	1	yes	characteristic, complemented
541	#3269	C₂×C₂₉	1	2	yes	complemented
542	#3258	C₂×C₂₉	1	2	yes	complemented
543	#3249	C₂×C₂₉	1	1	yes	characteristic, complemented
544	#3223	C₂×C₂₉	1	2	yes	complemented
545	#3210	C₂×C₂₉	1	1	yes	characteristic, complemented
546	#3124	C₂×C₂₉	1	2	yes	complemented
547	#3107	C₂×C₂₉	1	1	yes	characteristic, complemented
548	#3046	C₂×C₂₉	1	2	yes	complemented
549	#3035	C₂×C₂₉	1	1	yes	characteristic, complemented
550	#2994	C₂×C₂₉	1	1	yes	characteristic, complemented
551	C₂²×C₂₉	—	2	1	no	—
552	C₂²×C₂₉	—	2	2	no	—
553	C₂²×C₂₉	—	2	2	no	—
554	C₂²×C₂₉	—	2	1	no	—
555	C₂²×C₂₉	—	2	2	no	—
556	C₂²×C₂₉	—	2	1	no	—
557	C₂²×C₂₉	—	2	2	no	—
558	C₂²×C₂₉	—	4	1	no	—
559	C₂²×C₂₉	—	4	1	no	—
560	C₂²×C₂₉	—	4	2	no	—
561	C₂²×C₂₉	—	4	2	no	—
562	C₂²×C₂₉	—	4	2	no	—
563	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
564	C₄×C₂₉	—	2	1	no	—
565	C₄×C₂₉	—	2	1	no	—
566	C₄×C₂₉	—	2	2	no	—
567	C₄×C₂₉	—	2	1	no	—
568	C₄×C₂₉	—	2	2	no	—
569	C₄×C₂₉	—	2	1	no	—
570	C₄×C₂₉	—	2	2	no	—
571	C₄×C₂₉	—	4	1	no	—
572	C₄×C₂₉	—	4	1	no	—
573	C₄×C₂₉	—	4	2	no	—
574	C₄×C₂₉	—	4	1	no	—
575	C₄×C₂₉	—	4	1	no	—
576	C₄×C₂₉	—	4	2	no	—
577	C₄×C₂₉	—	4	1	no	—
578	C₄×C₂₉	—	4	2	no	—
579	C₄×C₂₉	—	4	1	no	—
580	C₄×C₂₉	—	4	1	no	—
581	C₄×C₂₉	#578	1	2	yes	—
582	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
583	C₄×C₂₉	#585	1	1	yes	characteristic
584	C₂×#137	C₂²×C₂₉	1	2	yes	—
585	C₂×#135	C₂²×C₂₉	1	2	yes	—
586	C₂×#135	C₂²×C₂₉	1	2	yes	—
587	#562	—	2	2	no	—
588	#559	—	2	1	no	—
589	#559	C₂²×C₂₉	1	1	yes	characteristic
590	#557	C₂²×C₂₉	1	1	yes	characteristic
591	#557	C₂²×C₂₉	1	1	yes	characteristic
592	#554	—	2	1	no	—
593	#554	C₂²×C₂₉	1	1	yes	characteristic
594	#554	C₂²×C₂₉	1	1	yes	characteristic
595	#553	—	2	1	no	—
596	#552	—	2	2	no	—
597	#552	—	2	1	no	—
598	#552	C₂²×C₂₉	1	2	yes	—
599	#550	C₂²×C₂₉	1	1	yes	characteristic
600	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
601	#548	C₂²×C₂₉	1	2	yes	—
602	#547	C₂²×C₂₉	1	2	yes	—
603	#547	C₂²×C₂₉	1	1	yes	characteristic
604	#547	C₂²×C₂₉	1	2	yes	—
605	#542	—	2	1	no	—
606	#542	C₂²×C₂₉	1	2	yes	—
607	#541	C₂²×C₂₉	1	2	yes	—
608	#540	—	2	1	no	—
609	#539	—	2	2	no	—
610	#539	—	2	2	no	—
611	#536	C₂²×C₂₉	1	2	yes	—
612	#533	C₂²×C₂₉	1	1	yes	characteristic
613	#533	C₂²×C₂₉	1	1	yes	characteristic
614	#532	C₂²×C₂₉	1	1	yes	characteristic
615	#529	—	2	1	no	—
616	#529	C₂²×C₂₉	1	1	yes	characteristic
617	C₂×#125	—	2	1	no	—
618	#520	C₂²×C₂₉	1	2	yes	—
619	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
620	#497	C₂²×C₂₉	1	2	yes	—
621	#494	C₂²×C₂₉	1	1	yes	characteristic
622	#494	C₂²×C₂₉	1	2	yes	—
623	#492	C₂²×C₂₉	1	1	yes	characteristic
624	#491	C₂²×C₂₉	1	2	yes	—
625	#488	C₂²×C₂₉	1	2	yes	—
626	#487	C₂²×C₂₉	1	1	yes	characteristic
627	#486	C₂²×C₂₉	1	1	yes	characteristic
628	#485	C₂²×C₂₉	1	1	yes	characteristic
629	#485	C₂²×C₂₉	1	1	yes	characteristic
630	#484	C₂²×C₂₉	1	2	yes	—
631	#480	C₂²×C₂₉	1	2	yes	—
632	#479	C₂²×C₂₉	1	2	yes	—
633	#478	C₂²×C₂₉	1	2	yes	—
634	#477	C₂²×C₂₉	1	1	yes	characteristic
635	#477	C₂²×C₂₉	1	1	yes	characteristic
636	#477	C₂²×C₂₉	1	2	yes	—
637	#475	C₂²×C₂₉	1	1	yes	characteristic
638	#474	C₂²×C₂₉	1	1	yes	characteristic
639	#470	C₂²×C₂₉	1	2	yes	—
640	#468	C₂²×C₂₉	1	2	yes	—
641	#467	C₂²×C₂₉	1	2	yes	—
642	#467	C₂²×C₂₉	1	2	yes	—
643	#467	C₂²×C₂₉	1	2	yes	—
644	#465	C₂²×C₂₉	1	2	yes	—
645	#464	C₂²×C₂₉	1	2	yes	—
646	#464	C₂²×C₂₉	1	2	yes	—
647	#464	C₂²×C₂₉	1	2	yes	—
648	#464	C₂²×C₂₉	1	2	yes	—
649	#463	C₂²×C₂₉	1	2	yes	—
650	#463	C₂²×C₂₉	1	2	yes	—
651	#462	C₂²×C₂₉	1	1	yes	characteristic
652	#462	C₂²×C₂₉	1	1	yes	characteristic
653	#462	C₂²×C₂₉	1	2	yes	—
654	#462	C₂²×C₂₉	1	1	yes	characteristic
655	#462	C₂²×C₂₉	1	2	yes	—
656	#462	C₂²×C₂₉	1	1	yes	characteristic
657	#462	C₂²×C₂₉	1	2	yes	—
658	#461	C₂²×C₂₉	1	1	yes	characteristic
659	#461	C₂²×C₂₉	1	1	yes	characteristic
660	#461	C₂²×C₂₉	1	2	yes	—
661	#461	C₂²×C₂₉	1	2	yes	—
662	#460	C₂²×C₂₉	1	1	yes	characteristic
663	#459	C₂²×C₂₉	1	1	yes	characteristic
664	#452	C₂²×C₂₉	1	2	yes	—
665	#452	C₂²×C₂₉	1	1	yes	characteristic
666	#452	C₂²×C₂₉	1	1	yes	characteristic
667	#452	C₂²×C₂₉	1	2	yes	—
668	#452	C₂²×C₂₉	1	2	yes	—
669	#452	C₂²×C₂₉	1	2	yes	—
670	#452	C₂²×C₂₉	1	2	yes	—
671	#451	C₂²×C₂₉	1	2	yes	—
672	#451	C₂²×C₂₉	1	2	yes	—
673	#449	C₂²×C₂₉	1	2	yes	—
674	#446	C₂²×C₂₉	1	1	yes	characteristic
675	C₈×Q₈	C₂²×C₂₉	1	1	yes	characteristic
676	#440	C₂²×C₂₉	1	2	yes	—
677	#440	C₂²×C₂₉	1	2	yes	—
678	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
679	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic
680	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	—
681	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
683	C₄×D₈	C₂²×C₂₉	1	2	yes	—
684	#436	C₂²×C₂₉	1	1	yes	characteristic
685	#435	C₂²×C₂₉	1	2	yes	—
686	C₈×D₄	C₂²×C₂₉	1	2	yes	—
687	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic
688	#433	C₂²×C₂₉	1	2	yes	—
689	#431	C₂²×C₂₉	1	1	yes	characteristic
690	#424	C₂²×C₂₉	1	2	yes	—
691	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
692	#417	C₂²×C₂₉	1	2	yes	—
693	#416	C₂²×C₂₉	1	2	yes	—
694	C₂×#103	C₂²×C₂₉	1	2	yes	—
695	C₂×C₂₉	—	4	1	no	—
696	C₂×C₂₉	—	4	2	no	—
697	C₂×C₂₉	—	4	2	no	—
698	C₂×C₂₉	—	8	2	no	—
699	C₂×C₂₉	#3488	1	1	yes	characteristic
700	C₂×C₂₉	C₂×#578	1	1	yes	characteristic
701	C₂×C₂₉	#3584	1	1	yes	characteristic
702	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
703	C₂×#41	C₂³×C₂₉	1	2	yes	—
704	C₂×#41	C₂³×C₂₉	1	2	yes	—
705	C₂×#41	C₂³×C₂₉	1	2	yes	—
706	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
707	#137	—	4	4	no	—
708	#135	—	4	4	no	—
709	#135	—	4	4	no	—
710	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
711	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
712	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
713	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
714	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
715	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
717	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
718	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
721	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
723	C₂×D₈	C₂³×C₂₉	1	2	yes	—
724	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
725	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
726	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
732	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
733	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
735	#127	—	2	1	no	—
736	#127	C₂³×C₂₉	1	1	yes	characteristic
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	2	no	—
740	#126	—	2	2	no	—
741	#126	D₄×C₂₉	1	2	yes	—
742	#125	—	2	2	no	—
743	#125	—	2	2	no	—
744	#125	—	2	1	no	—
745	#125	—	2	1	no	—
746	#125	—	2	2	no	—
747	#125	—	2	2	no	—
748	#125	—	2	1	no	—
749	#125	—	2	2	no	—
750	#125	—	2	1	no	—
751	#125	—	2	1	no	—
752	#125	D₄×C₂₉	1	1	yes	characteristic
753	#125	C₂³×C₂₉	1	2	yes	—
754	#124	—	2	1	no	—
755	#124	—	2	2	no	—
756	#124	—	2	2	no	—
757	#124	D₄×C₂₉	1	1	yes	characteristic
758	#124	C₂³×C₂₉	1	2	yes	—
759	#124	C₂³×C₂₉	1	2	yes	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	D₄×C₂₉	1	2	yes	—
771	C₂²⋊Q₈	—	2	1	no	—
772	C₂²⋊Q₈	—	2	1	no	—
773	C₂²⋊Q₈	—	2	1	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
782	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
783	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
785	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
786	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
787	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
788	#121	—	2	1	no	—
789	#121	—	2	2	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	1	no	—
793	#121	—	2	1	no	—
794	#121	—	2	2	no	—
795	#121	D₄×C₂₉	1	1	yes	characteristic
796	#121	C₂³×C₂₉	1	2	yes	—
797	C₄×Q₈	—	2	1	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	—	2	1	no	—
801	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
804	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
805	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
806	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
807	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
808	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
821	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₂₉	1	2	yes	—
823	C₄×D₄	C₂³×C₂₉	1	2	yes	—
824	C₄×D₄	C₂³×C₂₉	1	2	yes	—
825	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
826	#117	—	2	1	no	—
827	#117	—	2	1	no	—
828	#117	—	2	2	no	—
829	#117	—	2	2	no	—
830	#117	—	2	1	no	—
831	#117	C₂³×C₂₉	1	1	yes	characteristic
832	#117	C₂³×C₂₉	1	2	yes	—
833	C₂×C₄⋊C₄	—	2	2	no	—
834	C₂×C₄⋊C₄	—	2	1	no	—
835	C₂×C₄⋊C₄	—	2	2	no	—
836	C₂×C₄⋊C₄	—	2	1	no	—
837	C₂×C₄⋊C₄	—	2	2	no	—
838	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
839	C₂×C₄²	—	2	1	no	—
840	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
841	#107	C₂³×C₂₉	1	2	yes	—
842	#107	C₂³×C₂₉	1	1	yes	characteristic
843	#107	C₂³×C₂₉	1	1	yes	characteristic
844	#107	C₂³×C₂₉	1	2	yes	—
845	#106	C₂³×C₂₉	1	1	yes	characteristic
846	#106	C₂³×C₂₉	1	1	yes	characteristic
847	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
848	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
849	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
850	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
852	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
853	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
854	#103	C₂³×C₂₉	1	1	yes	characteristic
855	#103	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	1	yes	characteristic
860	#103	C₂³×C₂₉	1	2	yes	—
861	#103	C₂³×C₂₉	1	1	yes	characteristic
862	#103	C₂³×C₂₉	1	1	yes	characteristic
863	#103	C₂³×C₂₉	1	2	yes	—
864	#103	C₂³×C₂₉	1	1	yes	characteristic
865	#103	C₂³×C₂₉	1	1	yes	characteristic
866	#103	C₂³×C₂₉	1	2	yes	—
867	#103	C₂³×C₂₉	1	2	yes	—
868	#102	C₂³×C₂₉	1	2	yes	—
869	#102	C₂³×C₂₉	1	2	yes	—
870	#102	C₂³×C₂₉	1	2	yes	—
871	#102	C₂³×C₂₉	1	1	yes	characteristic
872	#102	C₂³×C₂₉	1	2	yes	—
873	#102	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	1	yes	characteristic
880	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
881	C₄×C₈	C₂³×C₂₉	1	2	yes	—
882	C₂₉	#62069	1	1	yes	characteristic, direct product factor, Sylow
883	#41	—	2	2	no	—
884	#41	—	2	4	no	—
885	#41	—	4	2	no	—
886	#41	—	4	1	no	—
887	#41	—	4	2	no	—
888	#41	—	4	2	no	—
889	#41	—	4	2	no	—
890	#41	—	4	2	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	1	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	4	2	no	—
895	C₂×Q₈	—	4	2	no	—
896	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
897	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
898	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
899	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
910	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
911	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
912	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
924	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
926	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
927	Q₁₆	—	4	2	no	—
928	Q₁₆	—	4	2	no	—
929	Q₁₆	—	4	2	no	—
930	Q₁₆	—	4	2	no	—
931	Q₁₆	—	4	1	no	—
932	Q₁₆	—	4	2	no	—
933	Q₁₆	—	4	1	no	—
934	SD₁₆	—	2	2	no	—
935	SD₁₆	—	2	4	no	—
936	SD₁₆	—	2	2	no	—
937	SD₁₆	—	4	2	no	—
938	SD₁₆	—	4	2	no	—
939	SD₁₆	—	4	2	no	—
940	D₈	—	2	4	no	—
941	M₁₆	—	4	2	no	—
942	C₂×C₈	—	4	2	no	—
943	C₂×C₈	—	4	2	no	—
944	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
948	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	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	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
979	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
980	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
983	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
984	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
987	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	1	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	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1019	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1020	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1021	C₄²	C₂⁴×C₂₉	1	2	yes	—
1022	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1026	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	8	2	no	—
1039	Q₈	—	8	1	no	—
1040	Q₈	—	8	1	no	—
1041	D₄	—	2	2	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	4	4	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	8	1	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	2	no	—
1053	D₄	C₂₉×H(5,𝔽₂)	1	2	yes	—
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	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	4	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	8	2	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	1	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1083	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1084	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1085	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1086	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1087	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1088	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1089	C₈	—	2	2	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	2	no	—
1092	C₈	—	2	1	no	—
1093	C₈	—	2	1	no	—
1094	C₈	—	2	1	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1108	C₄	—	2	1	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	1	no	—
1111	C₄	—	2	2	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	C₂₉×#578	1	2	yes	—
1126	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1127	C₄	C₂₉×#585	1	1	yes	characteristic
1128	C₂	—	4	2	no	—
1129	C₂	—	4	1	no	—
1130	C₂	—	4	2	no	—
1131	C₂	—	8	2	no	—
1132	C₂	C₂₉×#3488	1	1	yes	characteristic
1133	C₂	C₂×C₂₉×#578	1	1	yes	characteristic
1134	C₂	C₂₉×#3584	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 ◁ C₂₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3554	C₂	semidirect
2. C₂₉×#3515	C₂	semidirect
3. C₂₉×#3400	C₂	semidirect
4. C₂₉×#3395	C₂	semidirect
5. C₂₉×#3372	C₂	semidirect
6. C₂₉×#3361	C₂	semidirect
7. C₂₉×#3333	C₂	semidirect
8. C₂₉×#3315	C₂	semidirect
9. C₂₉×#3300	C₂	semidirect
10. C₂₉×#3299	C₂	semidirect
11. C₂₉×#3284	C₂	semidirect
12. C₂₉×#3283	C₂	semidirect
13. C₂₉×#3276	C₂	semidirect
14. C₂₉×#3269	C₂	semidirect
15. C₂₉×#3258	C₂	semidirect
16. C₂₉×#3249	C₂	semidirect
17. C₂₉×#3223	C₂	semidirect
18. C₂₉×#3210	C₂	semidirect
19. C₂₉×#3124	C₂	semidirect
20. C₂₉×#3107	C₂	semidirect
21. C₂₉×#3046	C₂	semidirect
22. C₂₉×#3035	C₂	semidirect
23. C₂₉×#2994	C₂	semidirect
455. #62069	C₂₉	direct (N × H)
528. #3554	C₂×C₂₉	semidirect
529. #3515	C₂×C₂₉	semidirect
530. #3400	C₂×C₂₉	semidirect
531. #3395	C₂×C₂₉	semidirect
532. #3372	C₂×C₂₉	semidirect
533. #3361	C₂×C₂₉	semidirect
534. #3333	C₂×C₂₉	semidirect
535. #3315	C₂×C₂₉	semidirect
536. #3300	C₂×C₂₉	semidirect
537. #3299	C₂×C₂₉	semidirect
538. #3284	C₂×C₂₉	semidirect
539. #3283	C₂×C₂₉	semidirect
540. #3276	C₂×C₂₉	semidirect
541. #3269	C₂×C₂₉	semidirect
542. #3258	C₂×C₂₉	semidirect
543. #3249	C₂×C₂₉	semidirect
544. #3223	C₂×C₂₉	semidirect
545. #3210	C₂×C₂₉	semidirect
546. #3124	C₂×C₂₉	semidirect
547. #3107	C₂×C₂₉	semidirect
548. #3046	C₂×C₂₉	semidirect
549. #3035	C₂×C₂₉	semidirect
550. #2994	C₂×C₂₉	semidirect
882. C₂₉	#62069	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₉×#3554	2
C₂₉×#3515	2
C₂₉×#3400	2
C₂₉×#3395	2
C₂₉×#3372	2
C₂₉×#3361	2
C₂₉×#3333	2
C₂₉×#3315	2
C₂₉×#3300	2
C₂₉×#3299	2
C₂₉×#3284	2
C₂₉×#3283	2
C₂₉×#3276	2
C₂₉×#3269	2
C₂₉×#3258	2
C₂₉×#3249	2
C₂₉×#3223	2
C₂₉×#3210	2
C₂₉×#3124	2
C₂₉×#3107	2
C₂₉×#3046	2
C₂₉×#3035	2
C₂₉×#2994	2
#62069	29

Subgroups — C29×#62069 #20356969

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62069 #20356969