Subgroups — C₂₉×#62089 #20356989

Order 7424.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1078 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3400	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3370	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3327	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3314	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3310	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3272	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3269	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3267	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3258	C₂	1	2	yes	maximal, complemented
12	C₂₉×#3254	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3222	C₂	1	2	yes	maximal, complemented
14	C₂₉×#3215	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3124	C₂	1	2	yes	maximal, complemented
16	C₂₉×#3115	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3045	C₂	1	2	yes	maximal, complemented
18	C₂₉×#3040	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#2995	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₂₉×#137	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
22	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
23	C₂×C₂₉×#135	C₂²	1	2	yes	complemented
24	C₂₉×#562	—	2	1	no	—
25	C₂₉×H(3,𝔽₄)	—	2	1	no	—
26	C₂₉×#559	C₂²	1	2	yes	—
27	C₂₉×#557	C₂²	1	1	yes	characteristic, complemented
28	C₂₉×#554	C₂²	1	1	yes	characteristic, complemented
29	C₂₉×#554	C₂²	1	1	yes	characteristic, complemented
30	C₂₉×#553	—	2	1	no	—
31	C₂₉×#552	—	2	2	no	—
32	C₂₉×#552	—	2	1	no	—
33	C₂₉×#552	C₂²	1	2	yes	complemented
34	C₂₉×#548	C₂²	1	2	yes	—
35	C₂₉×#547	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#547	C₂²	1	2	yes	complemented
37	C₂₉×#546	—	2	2	no	—
38	C₂₉×#546	C₂²	1	2	yes	—
39	D₄²×C₂₉	C₂²	1	2	yes	—
40	C₂₉×#542	C₂²	1	2	yes	—
41	C₂₉×#541	C₂²	1	2	yes	complemented
42	C₂₉×#539	—	2	2	no	—
43	C₂₉×#538	—	2	2	no	—
44	C₂₉×#538	—	2	1	no	—
45	C₂₉×#535	C₂²	1	2	yes	—
46	C₂₉×#534	—	2	1	no	—
47	C₂₉×#533	C₂²	1	1	yes	characteristic, complemented
48	C₂₉×#532	C₂²	1	1	yes	characteristic
49	C₂₉×#529	—	2	1	no	—
50	C₂₉×#529	C₂²	1	1	yes	characteristic
51	C₂×C₂₉×#125	—	2	1	no	—
52	C₂×C₂₉×#124	C₂²	1	1	yes	characteristic
53	C₂₉×#520	C₂²	1	2	yes	complemented
54	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic, complemented
55	C₂₉×#497	C₂²	1	2	yes	complemented
56	C₂₉×#497	C₂²	1	2	yes	complemented
57	C₂₉×#492	C₂²	1	2	yes	—
58	C₂₉×#490	C₂²	1	2	yes	—
59	C₂₉×#489	C₂²	1	2	yes	complemented
60	C₂₉×#488	C₂²	1	2	yes	complemented
61	C₂₉×#484	C₂²	1	2	yes	complemented
62	C₂₉×#482	C₂²	1	2	yes	complemented
63	C₂₉×#480	C₂²	1	2	yes	—
64	C₂₉×#479	C₂²	1	2	yes	complemented
65	C₂₉×#478	C₂²	1	2	yes	complemented
66	C₂₉×#477	C₂²	1	2	yes	complemented
67	C₂₉×#475	C₂²	1	1	yes	characteristic, complemented
68	C₂₉×#474	C₂²	1	2	yes	complemented
69	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
70	C₂₉×#470	C₂²	1	2	yes	complemented
71	C₂₉×#468	C₂²	1	2	yes	—
72	C₂₉×#468	C₂²	1	2	yes	complemented
73	C₂₉×#468	C₂²	1	2	yes	complemented
74	C₂₉×#467	C₂²	1	2	yes	complemented
75	C₂₉×#465	C₂²	1	2	yes	—
76	C₂₉×#464	C₂²	1	2	yes	complemented
77	C₂₉×#464	C₂²	1	2	yes	complemented
78	C₂₉×#464	C₂²	1	2	yes	complemented
79	C₂₉×#464	C₂²	1	2	yes	complemented
80	C₂₉×#464	C₂²	1	2	yes	complemented
81	C₂₉×#463	C₂²	1	2	yes	complemented
82	C₂₉×#463	C₂²	1	2	yes	complemented
83	C₂₉×#463	C₂²	1	2	yes	complemented
84	C₂₉×#462	C₂²	1	2	yes	complemented
85	C₂₉×#461	C₂²	1	2	yes	complemented
86	C₂₉×#461	C₂²	1	2	yes	complemented
87	C₂₉×#460	C₂²	1	2	yes	—
88	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
89	C₂₉×#460	C₂²	1	2	yes	complemented
90	C₂₉×#459	C₂²	1	2	yes	—
91	C₂₉×#459	C₂²	1	1	yes	characteristic, complemented
92	C₂₉×#452	C₂²	1	2	yes	complemented
93	C₂₉×#452	C₂²	1	2	yes	complemented
94	C₂₉×#452	C₂²	1	2	yes	complemented
95	C₂₉×#451	C₂²	1	2	yes	complemented
96	C₂₉×#450	C₂²	1	2	yes	—
97	C₂₉×#450	C₂²	1	2	yes	complemented
98	C₂₉×#450	C₂²	1	2	yes	complemented
99	C₂₉×#449	C₂²	1	2	yes	—
100	C₂₉×#449	C₂²	1	2	yes	complemented
101	C₂₉×#446	C₂²	1	2	yes	complemented
102	C₂₉×#442	C₂²	1	2	yes	complemented
103	C₂₉×#440	C₂²	1	2	yes	complemented
104	C₂₉×#440	C₂²	1	2	yes	complemented
105	C₂₉×#440	C₂²	1	2	yes	complemented
106	C₄×Q₁₆×C₂₉	C₂²	1	2	yes	complemented
107	C₄×D₈×C₂₉	C₂²	1	2	yes	complemented
108	C₂₉×#436	C₂²	1	2	yes	complemented
109	C₂₉×#435	C₂²	1	2	yes	complemented
110	C₂₉×#435	C₂²	1	2	yes	complemented
111	C₂₉×#433	C₂²	1	2	yes	complemented
112	C₂₉×#432	C₂²	1	1	yes	characteristic, complemented
113	C₂₉×#424	C₂²	1	2	yes	complemented
114	C₂₉×#423	C₂²	1	1	yes	characteristic, complemented
115	C₂₉×#419	C₂²	1	1	yes	characteristic, complemented
116	C₂₉×#418	C₂²	1	1	yes	characteristic
117	C₂₉×#417	C₂²	1	2	yes	complemented
118	C₂×C₂₉×#102	C₂²	1	2	yes	complemented
119	C₂×#41×C₂₉	—	2	1	no	—
120	C₂×#41×C₂₉	C₂³	1	2	yes	—
121	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
122	C₂×#41×C₂₉	C₂³	1	2	yes	—
123	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₂₉	—	2	2	no	—
125	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
127	C₂₉×#137	—	4	2	no	—
128	C₂₉×AGL(1,ℤ/8)	—	4	2	no	—
129	C₂₉×AGL(1,ℤ/8)	—	4	4	no	—
130	C₂₉×#135	—	4	4	no	—
131	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
132	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
133	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
134	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
135	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
136	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
137	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
138	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
139	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
140	C₂×SD₁₆×C₂₉	C₂³	1	2	yes	—
141	C₂×D₈×C₂₉	C₂³	1	2	yes	—
142	C₂×D₈×C₂₉	C₂³	1	2	yes	—
143	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
144	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
145	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
147	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
148	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
149	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
150	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₂₉×#127	C₂³	1	2	yes	—
152	C₂₉×#127	C₂³	1	1	yes	characteristic
153	C₂₉×#126	—	2	2	no	—
154	C₂₉×#126	—	2	2	no	—
155	C₂₉×#126	—	2	2	no	—
156	C₂₉×#126	—	2	2	no	—
157	C₂₉×#126	D₄	1	2	yes	—
158	C₂₉×#125	—	2	2	no	—
159	C₂₉×#125	—	2	2	no	—
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	1	no	—
165	C₂₉×#125	D₄	1	1	yes	characteristic
166	C₂₉×#125	C₂³	1	2	yes	—
167	C₂₉×#124	—	2	2	no	—
168	C₂₉×#124	—	2	2	no	—
169	C₂₉×#124	—	2	2	no	—
170	C₂₉×#124	—	2	1	no	—
171	C₂₉×#124	—	2	1	no	—
172	C₂₉×#124	—	2	1	no	—
173	C₂₉×#124	D₄	1	1	yes	characteristic
174	C₂₉×#124	C₂³	1	2	yes	—
175	C₂₉×#124	C₂³	1	2	yes	—
176	C₂₉×#124	C₂³	1	2	yes	—
177	C₂₉×#123	—	2	2	no	—
178	C₂₉×#123	—	2	2	no	—
179	C₂₉×#123	—	2	2	no	—
180	C₂₉×#123	—	2	2	no	—
181	C₂₉×#123	—	2	2	no	—
182	C₂₉×#123	—	2	2	no	—
183	C₂₉×#123	—	2	2	no	—
184	C₂₉×#123	—	2	2	no	—
185	C₂₉×#123	D₄	1	2	yes	—
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	D₄	1	1	yes	characteristic
193	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₂₉×#121	—	2	1	no	—
198	C₂₉×#121	—	2	2	no	—
199	C₂₉×#121	—	2	2	no	—
200	C₂₉×#121	—	2	1	no	—
201	C₂₉×#121	—	2	2	no	—
202	C₂₉×#121	—	2	2	no	—
203	C₂₉×#121	—	2	2	no	—
204	C₂₉×#121	—	2	2	no	—
205	C₂₉×#121	D₄	1	1	yes	characteristic
206	C₂₉×#121	C₂³	1	2	yes	—
207	C₂₉×#121	C₂³	1	2	yes	—
208	C₂₉×#120	—	2	2	no	—
209	C₂₉×#120	—	2	2	no	—
210	C₂₉×#120	—	2	2	no	—
211	C₂₉×#120	—	2	2	no	—
212	C₂₉×#120	—	2	2	no	—
213	C₄×Q₈×C₂₉	—	2	1	no	—
214	C₄×Q₈×C₂₉	—	2	1	no	—
215	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
216	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
217	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
219	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
220	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₂₉	—	2	1	no	—
222	C₄×D₄×C₂₉	—	2	1	no	—
223	C₄×D₄×C₂₉	—	2	1	no	—
224	C₄×D₄×C₂₉	—	2	2	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	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	1	yes	characteristic
233	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₂₉	C₂³	1	2	yes	—
236	C₂₉×#117	—	2	1	no	—
237	C₂₉×#117	—	2	2	no	—
238	C₂₉×#117	—	2	2	no	—
239	C₂₉×#117	—	2	1	no	—
240	C₂₉×#117	C₂³	1	1	yes	characteristic
241	C₂₉×#117	C₂³	1	2	yes	—
242	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
243	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
244	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
245	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
246	C₂×C₄⋊C₄×C₂₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
248	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
249	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
250	C₂×C₄²×C₂₉	—	2	1	no	—
251	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
252	C₂₉×#107	C₂³	1	2	yes	—
253	C₂₉×#107	C₂³	1	2	yes	—
254	C₂₉×#107	C₂³	1	2	yes	—
255	C₂₉×#106	C₂³	1	2	yes	—
256	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
259	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
260	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
261	C₂₉×C₄⋊C₈	C₂³	1	2	yes	—
262	C₂₉×#103	C₂³	1	2	yes	—
263	C₂₉×#103	C₂³	1	2	yes	—
264	C₂₉×#103	C₂³	1	2	yes	—
265	C₂₉×#103	C₂³	1	2	yes	—
266	C₂₉×#103	C₂³	1	2	yes	—
267	C₂₉×#103	C₂³	1	2	yes	—
268	C₂₉×#103	C₂³	1	2	yes	—
269	C₂₉×#102	C₂³	1	2	yes	—
270	C₂₉×#102	C₂³	1	2	yes	—
271	C₂₉×#102	C₂³	1	2	yes	—
272	C₂₉×#102	C₂³	1	2	yes	—
273	C₂₉×#102	C₂³	1	2	yes	—
274	C₂₉×#102	C₂³	1	2	yes	—
275	C₂₉×#102	C₂³	1	2	yes	—
276	C₂₉×#102	C₂³	1	2	yes	—
277	C₂₉×#102	C₂³	1	2	yes	—
278	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₂₉×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₂₉×#97	C₂³	1	2	yes	—
282	C₂₉×#97	C₂³	1	2	yes	—
283	C₄×C₈×C₂₉	C₂³	1	2	yes	—
284	C₂⁴×C₂₉	—	2	1	no	—
285	C₂⁴×C₂₉	—	2	2	no	—
286	#41×C₂₉	—	2	4	no	—
287	#41×C₂₉	—	2	2	no	—
288	#41×C₂₉	—	4	1	no	—
289	#41×C₂₉	—	4	2	no	—
290	#41×C₂₉	—	4	2	no	—
291	#41×C₂₉	—	4	2	no	—
292	#41×C₂₉	—	8	2	no	—
293	C₂×Q₈×C₂₉	—	2	1	no	—
294	C₂×Q₈×C₂₉	—	2	1	no	—
295	C₂×Q₈×C₂₉	—	2	1	no	—
296	C₂×Q₈×C₂₉	—	4	1	no	—
297	C₂×Q₈×C₂₉	—	4	1	no	—
298	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
299	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
300	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
301	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
302	C₂×D₄×C₂₉	—	2	2	no	—
303	C₂×D₄×C₂₉	—	2	1	no	—
304	C₂×D₄×C₂₉	—	2	2	no	—
305	C₂×D₄×C₂₉	—	2	2	no	—
306	C₂×D₄×C₂₉	—	2	2	no	—
307	C₂×D₄×C₂₉	—	2	2	no	—
308	C₂×D₄×C₂₉	—	2	1	no	—
309	C₂×D₄×C₂₉	—	2	1	no	—
310	C₂×D₄×C₂₉	—	2	1	no	—
311	C₂×D₄×C₂₉	—	2	2	no	—
312	C₂×D₄×C₂₉	—	2	2	no	—
313	C₂×D₄×C₂₉	—	4	2	no	—
314	C₂×D₄×C₂₉	—	4	1	no	—
315	C₂×D₄×C₂₉	—	4	1	no	—
316	C₂×D₄×C₂₉	—	4	2	no	—
317	C₂×D₄×C₂₉	—	8	4	no	—
318	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
319	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
320	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
321	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
322	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₂₉	—	2	1	no	—
324	C₂²×C₄×C₂₉	—	2	2	no	—
325	C₂²×C₄×C₂₉	—	2	1	no	—
326	C₂²×C₄×C₂₉	—	2	1	no	—
327	C₂²×C₄×C₂₉	—	2	2	no	—
328	C₂²×C₄×C₂₉	—	2	1	no	—
329	C₂²×C₄×C₂₉	—	2	2	no	—
330	C₂²×C₄×C₂₉	—	2	2	no	—
331	C₂²×C₄×C₂₉	—	2	2	no	—
332	C₂²×C₄×C₂₉	—	2	2	no	—
333	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
337	Q₁₆×C₂₉	—	4	2	no	—
338	Q₁₆×C₂₉	—	4	2	no	—
339	Q₁₆×C₂₉	—	4	2	no	—
340	SD₁₆×C₂₉	—	2	4	no	—
341	SD₁₆×C₂₉	—	4	2	no	—
342	SD₁₆×C₂₉	—	4	2	no	—
343	SD₁₆×C₂₉	—	4	2	no	—
344	SD₁₆×C₂₉	—	4	2	no	—
345	SD₁₆×C₂₉	—	4	2	no	—
346	SD₁₆×C₂₉	—	4	2	no	—
347	D₈×C₂₉	—	2	4	no	—
348	D₈×C₂₉	—	2	4	no	—
349	M₁₆×C₂₉	—	4	2	no	—
350	M₁₆×C₂₉	—	4	1	no	—
351	M₁₆×C₂₉	—	4	1	no	—
352	C₂×C₈×C₂₉	—	4	2	no	—
353	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
354	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
355	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
356	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
357	C₄⋊C₄×C₂₉	—	2	2	no	—
358	C₄⋊C₄×C₂₉	—	2	1	no	—
359	C₄⋊C₄×C₂₉	—	2	1	no	—
360	C₄⋊C₄×C₂₉	—	2	2	no	—
361	C₄⋊C₄×C₂₉	—	2	2	no	—
362	C₄⋊C₄×C₂₉	—	2	2	no	—
363	C₄⋊C₄×C₂₉	—	2	2	no	—
364	C₄⋊C₄×C₂₉	—	2	2	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	1	no	—
372	C₄⋊C₄×C₂₉	—	2	1	no	—
373	C₄⋊C₄×C₂₉	—	2	2	no	—
374	C₄⋊C₄×C₂₉	—	2	2	no	—
375	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
376	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
377	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
378	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
379	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
380	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
381	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
382	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
383	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
384	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
385	C₂²⋊C₄×C₂₉	—	2	2	no	—
386	C₂²⋊C₄×C₂₉	—	2	2	no	—
387	C₂²⋊C₄×C₂₉	—	2	2	no	—
388	C₂²⋊C₄×C₂₉	—	2	1	no	—
389	C₂²⋊C₄×C₂₉	—	2	2	no	—
390	C₂²⋊C₄×C₂₉	—	2	2	no	—
391	C₂²⋊C₄×C₂₉	—	2	2	no	—
392	C₂²⋊C₄×C₂₉	—	2	2	no	—
393	C₂²⋊C₄×C₂₉	—	2	2	no	—
394	C₂²⋊C₄×C₂₉	—	2	2	no	—
395	C₂²⋊C₄×C₂₉	—	2	1	no	—
396	C₂²⋊C₄×C₂₉	—	2	1	no	—
397	C₂²⋊C₄×C₂₉	—	2	2	no	—
398	C₂²⋊C₄×C₂₉	—	2	2	no	—
399	C₂²⋊C₄×C₂₉	—	2	2	no	—
400	C₂²⋊C₄×C₂₉	—	2	2	no	—
401	C₂²⋊C₄×C₂₉	—	2	2	no	—
402	C₂²⋊C₄×C₂₉	—	2	2	no	—
403	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
404	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
405	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
406	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
407	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
408	C₄²×C₂₉	—	2	1	no	—
409	C₄²×C₂₉	—	2	1	no	—
410	C₄²×C₂₉	—	2	1	no	—
411	C₄²×C₂₉	—	2	2	no	—
412	C₄²×C₂₉	—	2	2	no	—
413	C₄²×C₂₉	—	2	2	no	—
414	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
415	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
416	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
417	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
418	C₄²×C₂₉	C₂⁴	1	2	yes	—
419	#62089	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
420	C₂³×C₂₉	—	2	1	no	—
421	C₂³×C₂₉	—	2	2	no	—
422	C₂³×C₂₉	—	2	2	no	—
423	C₂³×C₂₉	—	4	2	no	—
424	C₂³×C₂₉	—	8	1	no	—
425	C₂³×C₂₉	—	8	2	no	—
426	C₂³×C₂₉	—	8	2	no	—
427	C₂³×C₂₉	—	8	1	no	—
428	C₂³×C₂₉	—	8	2	no	—
429	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
430	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
431	Q₈×C₂₉	—	2	2	no	—
432	Q₈×C₂₉	—	2	2	no	—
433	Q₈×C₂₉	—	2	1	no	—
434	Q₈×C₂₉	—	2	1	no	—
435	Q₈×C₂₉	—	2	2	no	—
436	Q₈×C₂₉	—	2	2	no	—
437	Q₈×C₂₉	—	4	1	no	—
438	Q₈×C₂₉	—	8	1	no	—
439	Q₈×C₂₉	—	8	1	no	—
440	Q₈×C₂₉	—	8	1	no	—
441	D₄×C₂₉	—	2	2	no	—
442	D₄×C₂₉	—	2	2	no	—
443	D₄×C₂₉	—	2	1	no	—
444	D₄×C₂₉	—	2	2	no	—
445	D₄×C₂₉	—	2	2	no	—
446	D₄×C₂₉	—	4	2	no	—
447	D₄×C₂₉	—	4	1	no	—
448	D₄×C₂₉	—	4	2	no	—
449	D₄×C₂₉	—	4	4	no	—
450	D₄×C₂₉	—	4	4	no	—
451	D₄×C₂₉	—	8	1	no	—
452	D₄×C₂₉	—	8	2	no	—
453	D₄×C₂₉	—	8	2	no	—
454	D₄×C₂₉	—	8	1	no	—
455	D₄×C₂₉	—	8	2	no	—
456	D₄×C₂₉	—	8	1	no	—
457	D₄×C₂₉	—	8	2	no	—
458	D₄×C₂₉	—	8	2	no	—
459	D₄×C₂₉	H(5,𝔽₂)	1	2	yes	—
460	C₂×C₄×C₂₉	—	2	2	no	—
461	C₂×C₄×C₂₉	—	2	1	no	—
462	C₂×C₄×C₂₉	—	2	1	no	—
463	C₂×C₄×C₂₉	—	2	2	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	2	no	—
468	C₂×C₄×C₂₉	—	2	2	no	—
469	C₂×C₄×C₂₉	—	2	2	no	—
470	C₂×C₄×C₂₉	—	2	2	no	—
471	C₂×C₄×C₂₉	—	4	1	no	—
472	C₂×C₄×C₂₉	—	4	1	no	—
473	C₂×C₄×C₂₉	—	4	4	no	—
474	C₂×C₄×C₂₉	—	4	2	no	—
475	C₂×C₄×C₂₉	—	4	2	no	—
476	C₂×C₄×C₂₉	—	8	1	no	—
477	C₂×C₄×C₂₉	—	8	2	no	—
478	C₂×C₄×C₂₉	—	8	2	no	—
479	C₂×C₄×C₂₉	—	8	2	no	—
480	C₂×C₄×C₂₉	—	8	2	no	—
481	C₂×C₄×C₂₉	—	8	2	no	—
482	C₂×C₄×C₂₉	—	8	1	no	—
483	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
492	C₈×C₂₉	—	2	2	no	—
493	C₈×C₂₉	—	2	2	no	—
494	C₈×C₂₉	—	2	2	no	—
495	C₈×C₂₉	—	2	2	no	—
496	#3558	C₂×C₂₉	1	1	yes	characteristic, complemented
497	#3515	C₂×C₂₉	1	1	yes	characteristic, complemented
498	#3400	C₂×C₂₉	1	2	yes	complemented
499	#3370	C₂×C₂₉	1	2	yes	complemented
500	#3327	C₂×C₂₉	1	2	yes	complemented
501	#3314	C₂×C₂₉	1	2	yes	complemented
502	#3310	C₂×C₂₉	1	2	yes	complemented
503	#3272	C₂×C₂₉	1	2	yes	complemented
504	#3269	C₂×C₂₉	1	2	yes	complemented
505	#3267	C₂×C₂₉	1	2	yes	complemented
506	#3258	C₂×C₂₉	1	2	yes	complemented
507	#3254	C₂×C₂₉	1	1	yes	characteristic, complemented
508	#3222	C₂×C₂₉	1	2	yes	complemented
509	#3215	C₂×C₂₉	1	1	yes	characteristic, complemented
510	#3124	C₂×C₂₉	1	2	yes	complemented
511	#3115	C₂×C₂₉	1	1	yes	characteristic, complemented
512	#3045	C₂×C₂₉	1	2	yes	complemented
513	#3040	C₂×C₂₉	1	1	yes	characteristic, complemented
514	#2995	C₂×C₂₉	1	1	yes	characteristic, complemented
515	C₂²×C₂₉	—	2	1	no	—
516	C₂²×C₂₉	—	2	2	no	—
517	C₂²×C₂₉	—	2	1	no	—
518	C₂²×C₂₉	—	2	2	no	—
519	C₂²×C₂₉	—	2	1	no	—
520	C₂²×C₂₉	—	2	2	no	—
521	C₂²×C₂₉	—	2	2	no	—
522	C₂²×C₂₉	—	4	1	no	—
523	C₂²×C₂₉	—	4	1	no	—
524	C₂²×C₂₉	—	4	2	no	—
525	C₂²×C₂₉	—	4	2	no	—
526	C₂²×C₂₉	—	4	2	no	—
527	C₂²×C₂₉	—	4	2	no	—
528	C₂²×C₂₉	—	4	2	no	—
529	C₂²×C₂₉	—	4	2	no	—
530	C₂²×C₂₉	—	16	2	no	—
531	C₂²×C₂₉	—	16	4	no	—
532	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
533	C₄×C₂₉	—	2	1	no	—
534	C₄×C₂₉	—	2	1	no	—
535	C₄×C₂₉	—	2	2	no	—
536	C₄×C₂₉	—	2	1	no	—
537	C₄×C₂₉	—	2	1	no	—
538	C₄×C₂₉	—	2	2	no	—
539	C₄×C₂₉	—	2	2	no	—
540	C₄×C₂₉	—	2	1	no	—
541	C₄×C₂₉	—	4	1	no	—
542	C₄×C₂₉	—	4	2	no	—
543	C₄×C₂₉	—	4	2	no	—
544	C₄×C₂₉	—	4	1	no	—
545	C₄×C₂₉	—	4	2	no	—
546	C₄×C₂₉	—	4	1	no	—
547	C₄×C₂₉	—	4	2	no	—
548	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
549	C₄×C₂₉	#585	1	1	yes	characteristic
550	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic, complemented
551	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
552	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	2	yes	complemented
553	C₂×#135	C₂²×C₂₉	1	2	yes	complemented
554	#562	—	2	1	no	—
555	H(3,𝔽₄)	—	2	1	no	—
556	#559	C₂²×C₂₉	1	2	yes	—
557	#557	C₂²×C₂₉	1	1	yes	characteristic, complemented
558	#554	C₂²×C₂₉	1	1	yes	characteristic, complemented
559	#554	C₂²×C₂₉	1	1	yes	characteristic, complemented
560	#553	—	2	1	no	—
561	#552	—	2	2	no	—
562	#552	—	2	1	no	—
563	#552	C₂²×C₂₉	1	2	yes	complemented
564	#548	C₂²×C₂₉	1	2	yes	—
565	#547	C₂²×C₂₉	1	1	yes	characteristic, complemented
566	#547	C₂²×C₂₉	1	2	yes	complemented
567	#546	—	2	2	no	—
568	#546	C₂²×C₂₉	1	2	yes	—
569	D₄²	C₂²×C₂₉	1	2	yes	—
570	#542	C₂²×C₂₉	1	2	yes	—
571	#541	C₂²×C₂₉	1	2	yes	complemented
572	#539	—	2	2	no	—
573	#538	—	2	2	no	—
574	#538	—	2	1	no	—
575	#535	C₂²×C₂₉	1	2	yes	—
576	#534	—	2	1	no	—
577	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
578	#532	C₂²×C₂₉	1	1	yes	characteristic
579	#529	—	2	1	no	—
580	#529	C₂²×C₂₉	1	1	yes	characteristic
581	C₂×#125	—	2	1	no	—
582	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic
583	#520	C₂²×C₂₉	1	2	yes	complemented
584	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic, complemented
585	#497	C₂²×C₂₉	1	2	yes	complemented
586	#497	C₂²×C₂₉	1	2	yes	complemented
587	#492	C₂²×C₂₉	1	2	yes	—
588	#490	C₂²×C₂₉	1	2	yes	—
589	#489	C₂²×C₂₉	1	2	yes	complemented
590	#488	C₂²×C₂₉	1	2	yes	complemented
591	#484	C₂²×C₂₉	1	2	yes	complemented
592	#482	C₂²×C₂₉	1	2	yes	complemented
593	#480	C₂²×C₂₉	1	2	yes	—
594	#479	C₂²×C₂₉	1	2	yes	complemented
595	#478	C₂²×C₂₉	1	2	yes	complemented
596	#477	C₂²×C₂₉	1	2	yes	complemented
597	#475	C₂²×C₂₉	1	1	yes	characteristic, complemented
598	#474	C₂²×C₂₉	1	2	yes	complemented
599	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
600	#470	C₂²×C₂₉	1	2	yes	complemented
601	#468	C₂²×C₂₉	1	2	yes	—
602	#468	C₂²×C₂₉	1	2	yes	complemented
603	#468	C₂²×C₂₉	1	2	yes	complemented
604	#467	C₂²×C₂₉	1	2	yes	complemented
605	#465	C₂²×C₂₉	1	2	yes	—
606	#464	C₂²×C₂₉	1	2	yes	complemented
607	#464	C₂²×C₂₉	1	2	yes	complemented
608	#464	C₂²×C₂₉	1	2	yes	complemented
609	#464	C₂²×C₂₉	1	2	yes	complemented
610	#464	C₂²×C₂₉	1	2	yes	complemented
611	#463	C₂²×C₂₉	1	2	yes	complemented
612	#463	C₂²×C₂₉	1	2	yes	complemented
613	#463	C₂²×C₂₉	1	2	yes	complemented
614	#462	C₂²×C₂₉	1	2	yes	complemented
615	#461	C₂²×C₂₉	1	2	yes	complemented
616	#461	C₂²×C₂₉	1	2	yes	complemented
617	#460	C₂²×C₂₉	1	2	yes	—
618	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
619	#460	C₂²×C₂₉	1	2	yes	complemented
620	#459	C₂²×C₂₉	1	2	yes	—
621	#459	C₂²×C₂₉	1	1	yes	characteristic, complemented
622	#452	C₂²×C₂₉	1	2	yes	complemented
623	#452	C₂²×C₂₉	1	2	yes	complemented
624	#452	C₂²×C₂₉	1	2	yes	complemented
625	#451	C₂²×C₂₉	1	2	yes	complemented
626	#450	C₂²×C₂₉	1	2	yes	—
627	#450	C₂²×C₂₉	1	2	yes	complemented
628	#450	C₂²×C₂₉	1	2	yes	complemented
629	#449	C₂²×C₂₉	1	2	yes	—
630	#449	C₂²×C₂₉	1	2	yes	complemented
631	#446	C₂²×C₂₉	1	2	yes	complemented
632	#442	C₂²×C₂₉	1	2	yes	complemented
633	#440	C₂²×C₂₉	1	2	yes	complemented
634	#440	C₂²×C₂₉	1	2	yes	complemented
635	#440	C₂²×C₂₉	1	2	yes	complemented
636	C₄×Q₁₆	C₂²×C₂₉	1	2	yes	complemented
637	C₄×D₈	C₂²×C₂₉	1	2	yes	complemented
638	#436	C₂²×C₂₉	1	2	yes	complemented
639	#435	C₂²×C₂₉	1	2	yes	complemented
640	#435	C₂²×C₂₉	1	2	yes	complemented
641	#433	C₂²×C₂₉	1	2	yes	complemented
642	#432	C₂²×C₂₉	1	1	yes	characteristic, complemented
643	#424	C₂²×C₂₉	1	2	yes	complemented
644	#423	C₂²×C₂₉	1	1	yes	characteristic, complemented
645	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
646	#418	C₂²×C₂₉	1	1	yes	characteristic
647	#417	C₂²×C₂₉	1	2	yes	complemented
648	C₂×#102	C₂²×C₂₉	1	2	yes	complemented
649	C₂×C₂₉	—	4	1	no	—
650	C₂×C₂₉	—	4	2	no	—
651	C₂×C₂₉	—	4	2	no	—
652	C₂×C₂₉	—	8	2	no	—
653	C₂×C₂₉	—	8	2	no	—
654	C₂×C₂₉	#3488	1	1	yes	characteristic
655	C₂×C₂₉	#3585	1	1	yes	characteristic
656	C₂×C₂₉	#3586	1	1	yes	characteristic
657	C₂×#41	—	2	1	no	—
658	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
659	C₂×#41	C₂³×C₂₉	1	2	yes	—
660	C₂×#41	C₂³×C₂₉	1	2	yes	—
661	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
662	C₂²×D₄	—	2	2	no	—
663	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
664	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
665	#137	—	4	2	no	—
666	AGL(1,ℤ/8)	—	4	2	no	—
667	AGL(1,ℤ/8)	—	4	4	no	—
668	#135	—	4	4	no	—
669	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
670	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
671	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
672	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
673	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
674	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
675	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
679	C₂×D₈	C₂³×C₂₉	1	2	yes	—
680	C₂×D₈	C₂³×C₂₉	1	2	yes	—
681	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
682	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
683	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
684	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
685	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
686	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
687	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
688	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
689	#127	C₂³×C₂₉	1	1	yes	characteristic
690	#127	C₂³×C₂₉	1	2	yes	—
691	#126	—	2	2	no	—
692	#126	—	2	2	no	—
693	#126	—	2	2	no	—
694	#126	—	2	2	no	—
695	#126	D₄×C₂₉	1	2	yes	—
696	#125	—	2	2	no	—
697	#125	—	2	2	no	—
698	#125	—	2	1	no	—
699	#125	—	2	1	no	—
700	#125	—	2	2	no	—
701	#125	—	2	2	no	—
702	#125	—	2	1	no	—
703	#125	D₄×C₂₉	1	1	yes	characteristic
704	#125	C₂³×C₂₉	1	2	yes	—
705	#124	—	2	2	no	—
706	#124	—	2	2	no	—
707	#124	—	2	2	no	—
708	#124	—	2	1	no	—
709	#124	—	2	1	no	—
710	#124	—	2	1	no	—
711	#124	D₄×C₂₉	1	1	yes	characteristic
712	#124	C₂³×C₂₉	1	2	yes	—
713	#124	C₂³×C₂₉	1	2	yes	—
714	#124	C₂³×C₂₉	1	2	yes	—
715	#123	—	2	2	no	—
716	#123	—	2	2	no	—
717	#123	—	2	2	no	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	D₄×C₂₉	1	2	yes	—
724	C₂²⋊Q₈	—	2	1	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
731	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
732	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
733	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
734	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
735	#121	—	2	1	no	—
736	#121	—	2	2	no	—
737	#121	—	2	2	no	—
738	#121	—	2	1	no	—
739	#121	—	2	2	no	—
740	#121	—	2	2	no	—
741	#121	—	2	2	no	—
742	#121	—	2	2	no	—
743	#121	D₄×C₂₉	1	1	yes	characteristic
744	#121	C₂³×C₂₉	1	2	yes	—
745	#121	C₂³×C₂₉	1	2	yes	—
746	#120	—	2	2	no	—
747	#120	—	2	2	no	—
748	#120	—	2	2	no	—
749	#120	—	2	2	no	—
750	#120	—	2	2	no	—
751	C₄×Q₈	—	2	1	no	—
752	C₄×Q₈	—	2	1	no	—
753	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
754	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
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×Q₈	C₂³×C₂₉	1	1	yes	characteristic
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
768	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
769	C₄×D₄	C₂³×C₂₉	1	2	yes	—
770	C₄×D₄	C₂³×C₂₉	1	2	yes	—
771	C₄×D₄	C₂³×C₂₉	1	2	yes	—
772	C₄×D₄	C₂³×C₂₉	1	2	yes	—
773	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
774	#117	—	2	1	no	—
775	#117	—	2	2	no	—
776	#117	—	2	2	no	—
777	#117	—	2	1	no	—
778	#117	C₂³×C₂₉	1	1	yes	characteristic
779	#117	C₂³×C₂₉	1	2	yes	—
780	C₂×C₄⋊C₄	—	2	2	no	—
781	C₂×C₄⋊C₄	—	2	1	no	—
782	C₂×C₄⋊C₄	—	2	2	no	—
783	C₂×C₄⋊C₄	—	2	1	no	—
784	C₂×C₄⋊C₄	C₂³×C₂₉	1	2	yes	—
785	C₂×C₂²⋊C₄	—	2	1	no	—
786	C₂×C₂²⋊C₄	—	2	1	no	—
787	C₂×C₂²⋊C₄	—	2	2	no	—
788	C₂×C₄²	—	2	1	no	—
789	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
790	#107	C₂³×C₂₉	1	2	yes	—
791	#107	C₂³×C₂₉	1	2	yes	—
792	#107	C₂³×C₂₉	1	2	yes	—
793	#106	C₂³×C₂₉	1	2	yes	—
794	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
795	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
796	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
797	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
798	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
799	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
800	#103	C₂³×C₂₉	1	2	yes	—
801	#103	C₂³×C₂₉	1	2	yes	—
802	#103	C₂³×C₂₉	1	2	yes	—
803	#103	C₂³×C₂₉	1	2	yes	—
804	#103	C₂³×C₂₉	1	2	yes	—
805	#103	C₂³×C₂₉	1	2	yes	—
806	#103	C₂³×C₂₉	1	2	yes	—
807	#102	C₂³×C₂₉	1	2	yes	—
808	#102	C₂³×C₂₉	1	2	yes	—
809	#102	C₂³×C₂₉	1	2	yes	—
810	#102	C₂³×C₂₉	1	2	yes	—
811	#102	C₂³×C₂₉	1	2	yes	—
812	#102	C₂³×C₂₉	1	2	yes	—
813	#102	C₂³×C₂₉	1	2	yes	—
814	#102	C₂³×C₂₉	1	2	yes	—
815	#102	C₂³×C₂₉	1	2	yes	—
816	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
817	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
818	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
819	#97	C₂³×C₂₉	1	2	yes	—
820	#97	C₂³×C₂₉	1	2	yes	—
821	C₄×C₈	C₂³×C₂₉	1	2	yes	—
822	C₂₉	#62089	1	1	yes	characteristic, direct product factor, Sylow
823	C₂⁴	—	2	1	no	—
824	C₂⁴	—	2	2	no	—
825	#41	—	2	4	no	—
826	#41	—	2	2	no	—
827	#41	—	4	1	no	—
828	#41	—	4	2	no	—
829	#41	—	4	2	no	—
830	#41	—	4	2	no	—
831	#41	—	8	2	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	1	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	4	1	no	—
836	C₂×Q₈	—	4	1	no	—
837	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
838	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
839	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
840	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	1	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	1	no	—
848	C₂×D₄	—	2	1	no	—
849	C₂×D₄	—	2	1	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	4	2	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	—	4	1	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	8	4	no	—
857	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
858	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
859	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
860	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
861	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	2	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
873	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
876	Q₁₆	—	4	2	no	—
877	Q₁₆	—	4	2	no	—
878	Q₁₆	—	4	2	no	—
879	SD₁₆	—	2	4	no	—
880	SD₁₆	—	4	2	no	—
881	SD₁₆	—	4	2	no	—
882	SD₁₆	—	4	2	no	—
883	SD₁₆	—	4	2	no	—
884	SD₁₆	—	4	2	no	—
885	SD₁₆	—	4	2	no	—
886	D₈	—	2	4	no	—
887	D₈	—	2	4	no	—
888	M₁₆	—	4	2	no	—
889	M₁₆	—	4	1	no	—
890	M₁₆	—	4	1	no	—
891	C₂×C₈	—	4	2	no	—
892	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
893	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
894	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
895	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	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	C₂×D₄×C₂₉	1	2	yes	—
915	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
916	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
917	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
918	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
919	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
920	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
921	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
922	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
923	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	1	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	2	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	1	no	—
935	C₂²⋊C₄	—	2	1	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
943	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
944	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
945	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
946	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
947	C₄²	—	2	1	no	—
948	C₄²	—	2	1	no	—
949	C₄²	—	2	1	no	—
950	C₄²	—	2	2	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	2	no	—
953	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
954	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
955	C₄²	C₂⁴×C₂₉	1	2	yes	—
956	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
957	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
958	C₂³	—	2	1	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	4	2	no	—
962	C₂³	—	8	1	no	—
963	C₂³	—	8	2	no	—
964	C₂³	—	8	2	no	—
965	C₂³	—	8	1	no	—
966	C₂³	—	8	2	no	—
967	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
968	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
969	Q₈	—	2	2	no	—
970	Q₈	—	2	2	no	—
971	Q₈	—	2	1	no	—
972	Q₈	—	2	1	no	—
973	Q₈	—	2	2	no	—
974	Q₈	—	2	2	no	—
975	Q₈	—	4	1	no	—
976	Q₈	—	8	1	no	—
977	Q₈	—	8	1	no	—
978	Q₈	—	8	1	no	—
979	D₄	—	2	2	no	—
980	D₄	—	2	2	no	—
981	D₄	—	2	1	no	—
982	D₄	—	2	2	no	—
983	D₄	—	2	2	no	—
984	D₄	—	4	2	no	—
985	D₄	—	4	1	no	—
986	D₄	—	4	2	no	—
987	D₄	—	4	4	no	—
988	D₄	—	4	4	no	—
989	D₄	—	8	2	no	—
990	D₄	—	8	1	no	—
991	D₄	—	8	2	no	—
992	D₄	—	8	1	no	—
993	D₄	—	8	1	no	—
994	D₄	—	8	2	no	—
995	D₄	—	8	2	no	—
996	D₄	—	8	2	no	—
997	D₄	C₂₉×H(5,𝔽₂)	1	2	yes	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	4	1	no	—
1010	C₂×C₄	—	4	1	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	2	no	—
1013	C₂×C₄	—	4	2	no	—
1014	C₂×C₄	—	8	2	no	—
1015	C₂×C₄	—	8	2	no	—
1016	C₂×C₄	—	8	2	no	—
1017	C₂×C₄	—	8	1	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	1	no	—
1020	C₂×C₄	—	8	2	no	—
1021	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1022	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1023	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1024	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1025	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1026	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1027	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1028	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1029	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1030	C₈	—	2	2	no	—
1031	C₈	—	2	2	no	—
1032	C₈	—	2	2	no	—
1033	C₈	—	2	2	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	1	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	16	2	no	—
1050	C₂²	—	16	4	no	—
1051	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1052	C₄	—	2	2	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	2	no	—
1057	C₄	—	2	1	no	—
1058	C₄	—	2	1	no	—
1059	C₄	—	2	2	no	—
1060	C₄	—	4	2	no	—
1061	C₄	—	4	1	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	1	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	1	no	—
1067	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1068	C₄	C₂₉×#585	1	1	yes	characteristic
1069	C₂	—	4	1	no	—
1070	C₂	—	4	2	no	—
1071	C₂	—	4	2	no	—
1072	C₂	—	8	2	no	—
1073	C₂	—	8	2	no	—
1074	C₂	C₂₉×#3488	1	1	yes	characteristic
1075	C₂	C₂₉×#3585	1	1	yes	characteristic
1076	C₂	C₂₉×#3586	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×#3558	C₂	semidirect
2. C₂₉×#3515	C₂	semidirect
3. C₂₉×#3400	C₂	semidirect
4. C₂₉×#3370	C₂	semidirect
5. C₂₉×#3327	C₂	semidirect
6. C₂₉×#3314	C₂	semidirect
7. C₂₉×#3310	C₂	semidirect
8. C₂₉×#3272	C₂	semidirect
9. C₂₉×#3269	C₂	semidirect
10. C₂₉×#3267	C₂	semidirect
11. C₂₉×#3258	C₂	semidirect
12. C₂₉×#3254	C₂	semidirect
13. C₂₉×#3222	C₂	semidirect
14. C₂₉×#3215	C₂	semidirect
15. C₂₉×#3124	C₂	semidirect
16. C₂₉×#3115	C₂	semidirect
17. C₂₉×#3045	C₂	semidirect
18. C₂₉×#3040	C₂	semidirect
19. C₂₉×#2995	C₂	semidirect
20. C₂×C₂₉×#137	C₂²	semidirect
22. C₂×C₂₉×AGL(1,ℤ/8)	C₂²	semidirect
23. C₂×C₂₉×#135	C₂²	semidirect
27. C₂₉×#557	C₂²	semidirect
28. C₂₉×#554	C₂²	semidirect
29. C₂₉×#554	C₂²	semidirect
33. C₂₉×#552	C₂²	semidirect
35. C₂₉×#547	C₂²	semidirect
36. C₂₉×#547	C₂²	semidirect
41. C₂₉×#541	C₂²	semidirect
47. C₂₉×#533	C₂²	semidirect
53. C₂₉×#520	C₂²	semidirect
54. C₄×#41×C₂₉	C₂²	semidirect
55. C₂₉×#497	C₂²	semidirect
56. C₂₉×#497	C₂²	semidirect
59. C₂₉×#489	C₂²	semidirect
60. C₂₉×#488	C₂²	semidirect
61. C₂₉×#484	C₂²	semidirect
62. C₂₉×#482	C₂²	semidirect
64. C₂₉×#479	C₂²	semidirect
65. C₂₉×#478	C₂²	semidirect
66. C₂₉×#477	C₂²	semidirect
67. C₂₉×#475	C₂²	semidirect
68. C₂₉×#474	C₂²	semidirect
69. C₂₉×#474	C₂²	semidirect
70. C₂₉×#470	C₂²	semidirect
72. C₂₉×#468	C₂²	semidirect
73. C₂₉×#468	C₂²	semidirect
74. C₂₉×#467	C₂²	semidirect
76. C₂₉×#464	C₂²	semidirect
77. C₂₉×#464	C₂²	semidirect
78. C₂₉×#464	C₂²	semidirect
79. C₂₉×#464	C₂²	semidirect
80. C₂₉×#464	C₂²	semidirect
81. C₂₉×#463	C₂²	semidirect
82. C₂₉×#463	C₂²	semidirect
83. C₂₉×#463	C₂²	semidirect
84. C₂₉×#462	C₂²	semidirect
85. C₂₉×#461	C₂²	semidirect
86. C₂₉×#461	C₂²	semidirect
88. C₂₉×#460	C₂²	semidirect
89. C₂₉×#460	C₂²	semidirect
91. C₂₉×#459	C₂²	semidirect
92. C₂₉×#452	C₂²	semidirect
93. C₂₉×#452	C₂²	semidirect
94. C₂₉×#452	C₂²	semidirect
95. C₂₉×#451	C₂²	semidirect
97. C₂₉×#450	C₂²	semidirect
98. C₂₉×#450	C₂²	semidirect
100. C₂₉×#449	C₂²	semidirect
101. C₂₉×#446	C₂²	semidirect
102. C₂₉×#442	C₂²	semidirect
103. C₂₉×#440	C₂²	semidirect
104. C₂₉×#440	C₂²	semidirect
105. C₂₉×#440	C₂²	semidirect
106. C₄×Q₁₆×C₂₉	C₂²	semidirect
107. C₄×D₈×C₂₉	C₂²	semidirect
108. C₂₉×#436	C₂²	semidirect
109. C₂₉×#435	C₂²	semidirect
110. C₂₉×#435	C₂²	semidirect
111. C₂₉×#433	C₂²	semidirect
112. C₂₉×#432	C₂²	semidirect
113. C₂₉×#424	C₂²	semidirect
114. C₂₉×#423	C₂²	semidirect
115. C₂₉×#419	C₂²	semidirect
117. C₂₉×#417	C₂²	semidirect
118. C₂×C₂₉×#102	C₂²	semidirect
419. #62089	C₂₉	direct (N × H)
496. #3558	C₂×C₂₉	semidirect
497. #3515	C₂×C₂₉	semidirect
498. #3400	C₂×C₂₉	semidirect
499. #3370	C₂×C₂₉	semidirect
500. #3327	C₂×C₂₉	semidirect
501. #3314	C₂×C₂₉	semidirect
502. #3310	C₂×C₂₉	semidirect
503. #3272	C₂×C₂₉	semidirect
504. #3269	C₂×C₂₉	semidirect
505. #3267	C₂×C₂₉	semidirect
506. #3258	C₂×C₂₉	semidirect
507. #3254	C₂×C₂₉	semidirect
508. #3222	C₂×C₂₉	semidirect
509. #3215	C₂×C₂₉	semidirect
510. #3124	C₂×C₂₉	semidirect
511. #3115	C₂×C₂₉	semidirect
512. #3045	C₂×C₂₉	semidirect
513. #3040	C₂×C₂₉	semidirect
514. #2995	C₂×C₂₉	semidirect
550. C₂×#137	C₂²×C₂₉	semidirect
552. C₂×AGL(1,ℤ/8)	C₂²×C₂₉	semidirect
553. C₂×#135	C₂²×C₂₉	semidirect
557. #557	C₂²×C₂₉	semidirect
558. #554	C₂²×C₂₉	semidirect
559. #554	C₂²×C₂₉	semidirect
563. #552	C₂²×C₂₉	semidirect
565. #547	C₂²×C₂₉	semidirect
566. #547	C₂²×C₂₉	semidirect
571. #541	C₂²×C₂₉	semidirect
577. #533	C₂²×C₂₉	semidirect
583. #520	C₂²×C₂₉	semidirect
584. C₄×#41	C₂²×C₂₉	semidirect
585. #497	C₂²×C₂₉	semidirect
586. #497	C₂²×C₂₉	semidirect
589. #489	C₂²×C₂₉	semidirect
590. #488	C₂²×C₂₉	semidirect
591. #484	C₂²×C₂₉	semidirect
592. #482	C₂²×C₂₉	semidirect
594. #479	C₂²×C₂₉	semidirect
595. #478	C₂²×C₂₉	semidirect
596. #477	C₂²×C₂₉	semidirect
597. #475	C₂²×C₂₉	semidirect
598. #474	C₂²×C₂₉	semidirect
599. #474	C₂²×C₂₉	semidirect
600. #470	C₂²×C₂₉	semidirect
602. #468	C₂²×C₂₉	semidirect
603. #468	C₂²×C₂₉	semidirect
604. #467	C₂²×C₂₉	semidirect
606. #464	C₂²×C₂₉	semidirect
607. #464	C₂²×C₂₉	semidirect
608. #464	C₂²×C₂₉	semidirect
609. #464	C₂²×C₂₉	semidirect
610. #464	C₂²×C₂₉	semidirect
611. #463	C₂²×C₂₉	semidirect
612. #463	C₂²×C₂₉	semidirect
613. #463	C₂²×C₂₉	semidirect
614. #462	C₂²×C₂₉	semidirect
615. #461	C₂²×C₂₉	semidirect
616. #461	C₂²×C₂₉	semidirect
618. #460	C₂²×C₂₉	semidirect
619. #460	C₂²×C₂₉	semidirect
621. #459	C₂²×C₂₉	semidirect
622. #452	C₂²×C₂₉	semidirect
623. #452	C₂²×C₂₉	semidirect
624. #452	C₂²×C₂₉	semidirect
625. #451	C₂²×C₂₉	semidirect
627. #450	C₂²×C₂₉	semidirect
628. #450	C₂²×C₂₉	semidirect
630. #449	C₂²×C₂₉	semidirect
631. #446	C₂²×C₂₉	semidirect
632. #442	C₂²×C₂₉	semidirect
633. #440	C₂²×C₂₉	semidirect
634. #440	C₂²×C₂₉	semidirect
635. #440	C₂²×C₂₉	semidirect
636. C₄×Q₁₆	C₂²×C₂₉	semidirect
637. C₄×D₈	C₂²×C₂₉	semidirect
638. #436	C₂²×C₂₉	semidirect
639. #435	C₂²×C₂₉	semidirect
640. #435	C₂²×C₂₉	semidirect
641. #433	C₂²×C₂₉	semidirect
642. #432	C₂²×C₂₉	semidirect
643. #424	C₂²×C₂₉	semidirect
644. #423	C₂²×C₂₉	semidirect
645. #419	C₂²×C₂₉	semidirect
647. #417	C₂²×C₂₉	semidirect
648. C₂×#102	C₂²×C₂₉	semidirect
822. C₂₉	#62089	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×#3558	2
C₂₉×#3515	2
C₂₉×#3400	2
C₂₉×#3370	2
C₂₉×#3327	2
C₂₉×#3314	2
C₂₉×#3310	2
C₂₉×#3272	2
C₂₉×#3269	2
C₂₉×#3267	2
C₂₉×#3258	2
C₂₉×#3254	2
C₂₉×#3222	2
C₂₉×#3215	2
C₂₉×#3124	2
C₂₉×#3115	2
C₂₉×#3045	2
C₂₉×#3040	2
C₂₉×#2995	2
#62089	29

Subgroups — C29×#62089 #20356989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62089 #20356989