Subgroups — C₂₉×#62087 #20356987

Order 7424.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3561	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3514	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3401	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3367	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3329	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3319	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3313	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3273	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3266	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3265	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3262	C₂	1	2	yes	maximal, complemented
12	C₂₉×#3254	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3225	C₂	1	2	yes	maximal, complemented
14	C₂₉×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3118	C₂	1	2	yes	maximal, complemented
16	C₂₉×#3116	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3042	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
21	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	2	yes	—
22	C₂×C₂₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
23	C₂²×SD₁₆×C₂₉	C₂²	1	2	yes	complemented
24	C₂₉×#563	—	2	1	no	—
25	C₂₉×#562	—	2	1	no	—
26	C₂₉×#559	C₂²	1	1	yes	characteristic, complemented
27	C₂₉×#556	C₂²	1	2	yes	complemented
28	C₂₉×#556	C₂²	1	1	yes	characteristic, complemented
29	C₂₉×#555	C₂²	1	2	yes	—
30	C₂₉×#551	—	2	2	no	—
31	C₂₉×#551	—	2	2	no	—
32	D₄×Q₈×C₂₉	C₂²	1	2	yes	complemented
33	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic, complemented
34	C₂₉×#548	—	2	1	no	—
35	C₂₉×#548	C₂²	1	2	yes	—
36	C₂₉×#546	—	2	1	no	—
37	C₂₉×#546	C₂²	1	2	yes	—
38	C₂₉×#546	C₂²	1	2	yes	complemented
39	D₄²×C₂₉	C₂²	1	1	yes	characteristic, complemented
40	C₂₉×#543	—	2	1	no	—
41	C₂₉×#542	—	2	2	no	—
42	C₂₉×#542	C₂²	1	2	yes	complemented
43	C₂₉×#542	C₂²	1	2	yes	complemented
44	C₂₉×#538	—	2	2	no	—
45	C₂₉×#538	—	2	1	no	—
46	C₂₉×#536	C₂²	1	2	yes	complemented
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×#124	—	2	1	no	—
52	C₂×C₂₉×#124	C₂²	1	1	yes	characteristic, complemented
53	C₂₉×#518	C₂²	1	2	yes	complemented
54	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
55	C₂₉×#497	C₂²	1	2	yes	complemented
56	C₂₉×#496	C₂²	1	2	yes	—
57	C₂₉×#495	C₂²	1	2	yes	complemented
58	C₂₉×#489	C₂²	1	2	yes	complemented
59	C₂₉×#489	C₂²	1	2	yes	complemented
60	C₂₉×#487	C₂²	1	2	yes	complemented
61	C₂₉×#485	C₂²	1	2	yes	complemented
62	C₂₉×#485	C₂²	1	2	yes	complemented
63	C₂₉×#482	C₂²	1	2	yes	complemented
64	C₂₉×#477	C₂²	1	2	yes	complemented
65	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
66	C₂₉×#477	C₂²	1	2	yes	complemented
67	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
68	C₂₉×#474	C₂²	1	2	yes	complemented
69	C₂₉×#474	C₂²	1	2	yes	complemented
70	C₂₉×#468	C₂²	1	2	yes	complemented
71	C₂₉×#468	C₂²	1	2	yes	complemented
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×#466	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×#463	C₂²	1	2	yes	—
80	C₂₉×#463	C₂²	1	2	yes	—
81	C₂₉×#463	C₂²	1	2	yes	—
82	C₂₉×#463	C₂²	1	2	yes	complemented
83	C₂₉×#463	C₂²	1	2	yes	complemented
84	C₂₉×#463	C₂²	1	2	yes	complemented
85	C₂₉×#463	C₂²	1	2	yes	complemented
86	C₂₉×#462	C₂²	1	1	yes	characteristic, complemented
87	C₂₉×#461	C₂²	1	2	yes	complemented
88	C₂₉×#461	C₂²	1	2	yes	complemented
89	C₂₉×#461	C₂²	1	1	yes	characteristic, complemented
90	C₂₉×#461	C₂²	1	2	yes	complemented
91	C₂₉×#460	C₂²	1	2	yes	complemented
92	C₂₉×#452	C₂²	1	2	yes	—
93	C₂₉×#452	C₂²	1	2	yes	complemented
94	C₂₉×#451	C₂²	1	2	yes	complemented
95	C₂₉×#450	C₂²	1	2	yes	complemented
96	C₂₉×#449	C₂²	1	2	yes	—
97	C₂₉×#448	C₂²	1	2	yes	complemented
98	C₂₉×#448	C₂²	1	2	yes	complemented
99	C₂₉×#447	C₂²	1	2	yes	—
100	C₂₉×#447	C₂²	1	2	yes	complemented
101	C₂₉×#446	C₂²	1	2	yes	complemented
102	C₂₉×#442	C₂²	1	2	yes	complemented
103	C₂₉×#441	C₂²	1	2	yes	complemented
104	C₂₉×#440	C₂²	1	2	yes	complemented
105	C₂₉×#440	C₂²	1	2	yes	complemented
106	C₄×SD₁₆×C₂₉	C₂²	1	2	yes	complemented
107	C₄×D₈×C₂₉	C₂²	1	2	yes	—
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×#419	C₂²	1	2	yes	complemented
117	C₂₉×#418	C₂²	1	1	yes	characteristic, complemented
118	C₂₉×#416	C₂²	1	2	yes	complemented
119	C₂×#41×C₂₉	—	2	1	no	—
120	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
121	C₂×#41×C₂₉	C₂³	1	2	yes	—
122	C₂²×Q₈×C₂₉	—	2	1	no	—
123	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₂₉	C₂³	1	2	yes	—
125	C₂²×D₄×C₂₉	—	2	1	no	—
126	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
127	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
128	C₂₉×#137	—	4	2	no	—
129	C₂₉×AGL(1,ℤ/8)	—	4	2	no	—
130	C₂₉×AGL(1,ℤ/8)	—	4	4	no	—
131	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
132	C₂×Q₁₆×C₂₉	C₂³	1	2	yes	—
133	C₂×SD₁₆×C₂₉	—	4	4	no	—
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×D₈×C₂₉	C₂³	1	2	yes	—
144	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
145	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
146	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
148	C₂₉×C₄⋊Q₈	—	2	2	no	—
149	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
150	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
151	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₂₉×#127	C₂³	1	1	yes	characteristic
155	C₂₉×#126	—	2	2	no	—
156	C₂₉×#126	—	2	2	no	—
157	C₂₉×#126	—	2	2	no	—
158	C₂₉×#126	—	2	2	no	—
159	C₂₉×#126	—	2	2	no	—
160	C₂₉×#126	D₄	1	2	yes	—
161	C₂₉×#125	—	2	1	no	—
162	C₂₉×#125	D₄	1	1	yes	characteristic
163	C₂₉×#124	—	2	1	no	—
164	C₂₉×#124	—	2	1	no	—
165	C₂₉×#124	—	2	2	no	—
166	C₂₉×#124	—	2	2	no	—
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×#124	C₂³	1	2	yes	—
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	2	no	—
187	C₂₉×C₂²⋊Q₈	—	2	1	no	—
188	C₂₉×C₂²⋊Q₈	—	2	1	no	—
189	C₂₉×C₂²⋊Q₈	—	2	2	no	—
190	C₂₉×C₂²⋊Q₈	—	2	2	no	—
191	C₂₉×C₂²⋊Q₈	—	2	2	no	—
192	C₂₉×C₂²⋊Q₈	—	2	2	no	—
193	C₂₉×C₂²⋊Q₈	—	2	2	no	—
194	C₂₉×C₂²⋊Q₈	—	2	2	no	—
195	C₂₉×C₂²⋊Q₈	—	2	2	no	—
196	C₂₉×C₂²⋊Q₈	—	2	2	no	—
197	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
198	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₂₉×#121	—	2	2	no	—
202	C₂₉×#121	—	2	2	no	—
203	C₂₉×#121	—	2	1	no	—
204	C₂₉×#121	—	2	1	no	—
205	C₂₉×#121	—	2	2	no	—
206	C₂₉×#121	—	2	2	no	—
207	C₂₉×#121	D₄	1	1	yes	characteristic
208	C₂₉×#121	C₂³	1	2	yes	—
209	C₂₉×#121	C₂³	1	2	yes	—
210	C₂₉×#121	C₂³	1	2	yes	—
211	C₂₉×#120	—	2	2	no	—
212	C₂₉×#120	—	2	2	no	—
213	C₂₉×#120	—	2	2	no	—
214	C₄×Q₈×C₂₉	—	2	1	no	—
215	C₄×Q₈×C₂₉	—	2	1	no	—
216	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
217	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
218	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
219	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
220	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₂₉	—	2	2	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	1	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	2	yes	—
235	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₂₉	C₂³	1	2	yes	—
237	C₂₉×#117	—	2	1	no	—
238	C₂₉×#117	—	2	2	no	—
239	C₂₉×#117	—	2	2	no	—
240	C₂₉×#117	—	2	1	no	—
241	C₂₉×#117	C₂³	1	2	yes	—
242	C₂₉×#117	C₂³	1	1	yes	characteristic
243	C₂₉×#117	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
245	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
246	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
247	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
248	C₂×C₂²⋊C₄×C₂₉	—	2	2	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×#103	C₂³	1	2	yes	—
270	C₂₉×#103	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	2	no	—
287	#41×C₂₉	—	4	1	no	—
288	#41×C₂₉	—	4	2	no	—
289	#41×C₂₉	—	4	2	no	—
290	#41×C₂₉	—	8	2	no	—
291	C₂×Q₈×C₂₉	—	2	1	no	—
292	C₂×Q₈×C₂₉	—	2	1	no	—
293	C₂×Q₈×C₂₉	—	2	2	no	—
294	C₂×Q₈×C₂₉	—	2	2	no	—
295	C₂×Q₈×C₂₉	—	2	1	no	—
296	C₂×Q₈×C₂₉	—	4	2	no	—
297	C₂×Q₈×C₂₉	—	4	1	no	—
298	C₂×Q₈×C₂₉	—	4	1	no	—
299	C₂×Q₈×C₂₉	—	4	2	no	—
300	C₂×Q₈×C₂₉	—	8	2	no	—
301	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
302	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
303	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
305	C₂×D₄×C₂₉	—	2	4	no	—
306	C₂×D₄×C₂₉	—	2	1	no	—
307	C₂×D₄×C₂₉	—	2	2	no	—
308	C₂×D₄×C₂₉	—	2	2	no	—
309	C₂×D₄×C₂₉	—	2	2	no	—
310	C₂×D₄×C₂₉	—	2	2	no	—
311	C₂×D₄×C₂₉	—	2	2	no	—
312	C₂×D₄×C₂₉	—	2	1	no	—
313	C₂×D₄×C₂₉	—	2	1	no	—
314	C₂×D₄×C₂₉	—	2	1	no	—
315	C₂×D₄×C₂₉	—	4	2	no	—
316	C₂×D₄×C₂₉	—	4	1	no	—
317	C₂×D₄×C₂₉	—	4	1	no	—
318	C₂×D₄×C₂₉	—	8	2	no	—
319	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
320	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
321	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
322	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
323	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₂₉	—	2	1	no	—
325	C₂²×C₄×C₂₉	—	2	2	no	—
326	C₂²×C₄×C₂₉	—	2	1	no	—
327	C₂²×C₄×C₂₉	—	2	1	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	—	2	2	no	—
334	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
338	Q₁₆×C₂₉	—	4	2	no	—
339	Q₁₆×C₂₉	—	4	2	no	—
340	SD₁₆×C₂₉	—	2	4	no	—
341	SD₁₆×C₂₉	—	2	4	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	—	4	2	no	—
349	D₈×C₂₉	—	4	2	no	—
350	M₁₆×C₂₉	—	4	2	no	—
351	M₁₆×C₂₉	—	4	1	no	—
352	M₁₆×C₂₉	—	4	1	no	—
353	C₂×C₈×C₂₉	—	4	2	no	—
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	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
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	1	no	—
363	C₄⋊C₄×C₂₉	—	2	1	no	—
364	C₄⋊C₄×C₂₉	—	2	1	no	—
365	C₄⋊C₄×C₂₉	—	2	2	no	—
366	C₄⋊C₄×C₂₉	—	2	2	no	—
367	C₄⋊C₄×C₂₉	—	2	2	no	—
368	C₄⋊C₄×C₂₉	—	2	2	no	—
369	C₄⋊C₄×C₂₉	—	2	1	no	—
370	C₄⋊C₄×C₂₉	—	2	2	no	—
371	C₄⋊C₄×C₂₉	—	2	2	no	—
372	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
373	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
374	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
375	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
376	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
377	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
378	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
379	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
380	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
381	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
382	C₂²⋊C₄×C₂₉	—	2	2	no	—
383	C₂²⋊C₄×C₂₉	—	2	2	no	—
384	C₂²⋊C₄×C₂₉	—	2	2	no	—
385	C₂²⋊C₄×C₂₉	—	2	1	no	—
386	C₂²⋊C₄×C₂₉	—	2	2	no	—
387	C₂²⋊C₄×C₂₉	—	2	1	no	—
388	C₂²⋊C₄×C₂₉	—	2	2	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	2	no	—
396	C₂²⋊C₄×C₂₉	—	2	2	no	—
397	C₂²⋊C₄×C₂₉	—	2	2	no	—
398	C₂²⋊C₄×C₂₉	—	2	2	no	—
399	C₂²⋊C₄×C₂₉	—	2	1	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	—	2	2	no	—
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	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
409	C₄²×C₂₉	—	2	1	no	—
410	C₄²×C₂₉	—	2	1	no	—
411	C₄²×C₂₉	—	2	1	no	—
412	C₄²×C₂₉	—	2	2	no	—
413	C₄²×C₂₉	—	2	2	no	—
414	C₄²×C₂₉	—	2	2	no	—
415	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
416	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
418	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
419	C₄²×C₂₉	C₂⁴	1	2	yes	—
420	#62087	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
421	C₂³×C₂₉	—	2	1	no	—
422	C₂³×C₂₉	—	2	2	no	—
423	C₂³×C₂₉	—	2	2	no	—
424	C₂³×C₂₉	—	4	4	no	—
425	C₂³×C₂₉	—	4	2	no	—
426	C₂³×C₂₉	—	8	1	no	—
427	C₂³×C₂₉	—	8	2	no	—
428	C₂³×C₂₉	—	8	1	no	—
429	C₂³×C₂₉	—	8	2	no	—
430	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
431	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
432	Q₈×C₂₉	—	2	2	no	—
433	Q₈×C₂₉	—	2	2	no	—
434	Q₈×C₂₉	—	2	1	no	—
435	Q₈×C₂₉	—	2	2	no	—
436	Q₈×C₂₉	—	2	1	no	—
437	Q₈×C₂₉	—	2	2	no	—
438	Q₈×C₂₉	—	4	1	no	—
439	Q₈×C₂₉	—	4	2	no	—
440	Q₈×C₂₉	—	8	1	no	—
441	Q₈×C₂₉	—	8	1	no	—
442	Q₈×C₂₉	—	8	2	no	—
443	Q₈×C₂₉	—	8	2	no	—
444	D₄×C₂₉	—	2	2	no	—
445	D₄×C₂₉	—	2	2	no	—
446	D₄×C₂₉	—	2	1	no	—
447	D₄×C₂₉	—	2	2	no	—
448	D₄×C₂₉	—	2	2	no	—
449	D₄×C₂₉	—	4	1	no	—
450	D₄×C₂₉	—	4	2	no	—
451	D₄×C₂₉	—	4	4	no	—
452	D₄×C₂₉	—	4	2	no	—
453	D₄×C₂₉	—	4	2	no	—
454	D₄×C₂₉	—	8	1	no	—
455	D₄×C₂₉	—	8	1	no	—
456	D₄×C₂₉	—	8	2	no	—
457	D₄×C₂₉	—	8	2	no	—
458	D₄×C₂₉	—	8	2	no	—
459	D₄×C₂₉	—	8	2	no	—
460	D₄×C₂₉	H(5,𝔽₂)	1	2	yes	—
461	C₂×C₄×C₂₉	—	2	2	no	—
462	C₂×C₄×C₂₉	—	2	1	no	—
463	C₂×C₄×C₂₉	—	2	1	no	—
464	C₂×C₄×C₂₉	—	2	2	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	1	no	—
469	C₂×C₄×C₂₉	—	2	2	no	—
470	C₂×C₄×C₂₉	—	2	2	no	—
471	C₂×C₄×C₂₉	—	2	2	no	—
472	C₂×C₄×C₂₉	—	4	1	no	—
473	C₂×C₄×C₂₉	—	4	1	no	—
474	C₂×C₄×C₂₉	—	4	2	no	—
475	C₂×C₄×C₂₉	—	4	2	no	—
476	C₂×C₄×C₂₉	—	8	2	no	—
477	C₂×C₄×C₂₉	—	8	1	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	2	no	—
483	C₂×C₄×C₂₉	—	8	1	no	—
484	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
489	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
491	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
492	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
493	C₈×C₂₉	—	2	2	no	—
494	C₈×C₂₉	—	2	2	no	—
495	C₈×C₂₉	—	2	2	no	—
496	C₈×C₂₉	—	2	2	no	—
497	#3561	C₂×C₂₉	1	1	yes	characteristic, complemented
498	#3514	C₂×C₂₉	1	1	yes	characteristic, complemented
499	#3401	C₂×C₂₉	1	2	yes	complemented
500	#3367	C₂×C₂₉	1	2	yes	complemented
501	#3329	C₂×C₂₉	1	2	yes	complemented
502	#3319	C₂×C₂₉	1	2	yes	complemented
503	#3313	C₂×C₂₉	1	2	yes	complemented
504	#3273	C₂×C₂₉	1	2	yes	complemented
505	#3266	C₂×C₂₉	1	2	yes	complemented
506	#3265	C₂×C₂₉	1	2	yes	complemented
507	#3262	C₂×C₂₉	1	2	yes	complemented
508	#3254	C₂×C₂₉	1	1	yes	characteristic, complemented
509	#3225	C₂×C₂₉	1	2	yes	complemented
510	#3213	C₂×C₂₉	1	1	yes	characteristic, complemented
511	#3118	C₂×C₂₉	1	2	yes	complemented
512	#3116	C₂×C₂₉	1	1	yes	characteristic, complemented
513	#3042	C₂×C₂₉	1	2	yes	complemented
514	#3040	C₂×C₂₉	1	1	yes	characteristic, complemented
515	#2995	C₂×C₂₉	1	1	yes	characteristic, complemented
516	C₂²×C₂₉	—	2	1	no	—
517	C₂²×C₂₉	—	2	2	no	—
518	C₂²×C₂₉	—	2	1	no	—
519	C₂²×C₂₉	—	2	2	no	—
520	C₂²×C₂₉	—	2	1	no	—
521	C₂²×C₂₉	—	2	2	no	—
522	C₂²×C₂₉	—	2	2	no	—
523	C₂²×C₂₉	—	4	1	no	—
524	C₂²×C₂₉	—	4	1	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	—	4	2	no	—
531	C₂²×C₂₉	—	16	4	no	—
532	C₂²×C₂₉	—	16	2	no	—
533	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
534	C₄×C₂₉	—	2	1	no	—
535	C₄×C₂₉	—	2	1	no	—
536	C₄×C₂₉	—	2	2	no	—
537	C₄×C₂₉	—	2	1	no	—
538	C₄×C₂₉	—	2	1	no	—
539	C₄×C₂₉	—	2	2	no	—
540	C₄×C₂₉	—	2	1	no	—
541	C₄×C₂₉	—	2	2	no	—
542	C₄×C₂₉	—	4	1	no	—
543	C₄×C₂₉	—	4	2	no	—
544	C₄×C₂₉	—	4	2	no	—
545	C₄×C₂₉	—	4	1	no	—
546	C₄×C₂₉	—	4	1	no	—
547	C₄×C₂₉	—	4	2	no	—
548	C₄×C₂₉	—	4	2	no	—
549	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
550	C₄×C₂₉	#585	1	1	yes	characteristic
551	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic
552	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	2	yes	—
553	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
554	C₂²×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
555	#563	—	2	1	no	—
556	#562	—	2	1	no	—
557	#559	C₂²×C₂₉	1	1	yes	characteristic, complemented
558	#556	C₂²×C₂₉	1	2	yes	complemented
559	#556	C₂²×C₂₉	1	1	yes	characteristic, complemented
560	#555	C₂²×C₂₉	1	2	yes	—
561	#551	—	2	2	no	—
562	#551	—	2	2	no	—
563	D₄×Q₈	C₂²×C₂₉	1	2	yes	complemented
564	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
565	#548	—	2	1	no	—
566	#548	C₂²×C₂₉	1	2	yes	—
567	#546	—	2	1	no	—
568	#546	C₂²×C₂₉	1	2	yes	—
569	#546	C₂²×C₂₉	1	2	yes	complemented
570	D₄²	C₂²×C₂₉	1	1	yes	characteristic, complemented
571	#543	—	2	1	no	—
572	#542	—	2	2	no	—
573	#542	C₂²×C₂₉	1	2	yes	complemented
574	#542	C₂²×C₂₉	1	2	yes	complemented
575	#538	—	2	2	no	—
576	#538	—	2	1	no	—
577	#536	C₂²×C₂₉	1	2	yes	complemented
578	#533	C₂²×C₂₉	1	1	yes	characteristic, complemented
579	#532	C₂²×C₂₉	1	1	yes	characteristic
580	#529	—	2	1	no	—
581	#529	C₂²×C₂₉	1	1	yes	characteristic
582	C₂×#124	—	2	1	no	—
583	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic, complemented
584	#518	C₂²×C₂₉	1	2	yes	complemented
585	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
586	#497	C₂²×C₂₉	1	2	yes	complemented
587	#496	C₂²×C₂₉	1	2	yes	—
588	#495	C₂²×C₂₉	1	2	yes	complemented
589	#489	C₂²×C₂₉	1	2	yes	complemented
590	#489	C₂²×C₂₉	1	2	yes	complemented
591	#487	C₂²×C₂₉	1	2	yes	complemented
592	#485	C₂²×C₂₉	1	2	yes	complemented
593	#485	C₂²×C₂₉	1	2	yes	complemented
594	#482	C₂²×C₂₉	1	2	yes	complemented
595	#477	C₂²×C₂₉	1	2	yes	complemented
596	#477	C₂²×C₂₉	1	2	yes	complemented
597	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
598	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
599	#474	C₂²×C₂₉	1	2	yes	complemented
600	#474	C₂²×C₂₉	1	2	yes	complemented
601	#468	C₂²×C₂₉	1	2	yes	complemented
602	#468	C₂²×C₂₉	1	2	yes	complemented
603	#468	C₂²×C₂₉	1	2	yes	complemented
604	#468	C₂²×C₂₉	1	2	yes	complemented
605	#467	C₂²×C₂₉	1	2	yes	complemented
606	#466	C₂²×C₂₉	1	2	yes	—
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	#463	C₂²×C₂₉	1	2	yes	—
611	#463	C₂²×C₂₉	1	2	yes	—
612	#463	C₂²×C₂₉	1	2	yes	—
613	#463	C₂²×C₂₉	1	2	yes	complemented
614	#463	C₂²×C₂₉	1	2	yes	complemented
615	#463	C₂²×C₂₉	1	2	yes	complemented
616	#463	C₂²×C₂₉	1	2	yes	complemented
617	#462	C₂²×C₂₉	1	1	yes	characteristic, complemented
618	#461	C₂²×C₂₉	1	2	yes	complemented
619	#461	C₂²×C₂₉	1	2	yes	complemented
620	#461	C₂²×C₂₉	1	1	yes	characteristic, complemented
621	#461	C₂²×C₂₉	1	2	yes	complemented
622	#460	C₂²×C₂₉	1	2	yes	complemented
623	#452	C₂²×C₂₉	1	2	yes	—
624	#452	C₂²×C₂₉	1	2	yes	complemented
625	#451	C₂²×C₂₉	1	2	yes	complemented
626	#450	C₂²×C₂₉	1	2	yes	complemented
627	#449	C₂²×C₂₉	1	2	yes	—
628	#448	C₂²×C₂₉	1	2	yes	complemented
629	#448	C₂²×C₂₉	1	2	yes	complemented
630	#447	C₂²×C₂₉	1	2	yes	—
631	#447	C₂²×C₂₉	1	2	yes	complemented
632	#446	C₂²×C₂₉	1	2	yes	complemented
633	#442	C₂²×C₂₉	1	2	yes	complemented
634	#441	C₂²×C₂₉	1	2	yes	complemented
635	#440	C₂²×C₂₉	1	2	yes	complemented
636	#440	C₂²×C₂₉	1	2	yes	complemented
637	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
638	C₄×D₈	C₂²×C₂₉	1	2	yes	—
639	#436	C₂²×C₂₉	1	2	yes	complemented
640	#435	C₂²×C₂₉	1	2	yes	complemented
641	#435	C₂²×C₂₉	1	2	yes	complemented
642	#433	C₂²×C₂₉	1	2	yes	complemented
643	#432	C₂²×C₂₉	1	1	yes	characteristic, complemented
644	#424	C₂²×C₂₉	1	2	yes	complemented
645	#423	C₂²×C₂₉	1	1	yes	characteristic, complemented
646	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
647	#419	C₂²×C₂₉	1	2	yes	complemented
648	#418	C₂²×C₂₉	1	1	yes	characteristic, complemented
649	#416	C₂²×C₂₉	1	2	yes	complemented
650	C₂×C₂₉	—	4	1	no	—
651	C₂×C₂₉	—	4	2	no	—
652	C₂×C₂₉	—	4	2	no	—
653	C₂×C₂₉	—	8	2	no	—
654	C₂×C₂₉	—	8	2	no	—
655	C₂×C₂₉	#3488	1	1	yes	characteristic
656	C₂×C₂₉	#3585	1	1	yes	characteristic
657	C₂×C₂₉	#3586	1	1	yes	characteristic
658	C₂×#41	—	2	1	no	—
659	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
660	C₂×#41	C₂³×C₂₉	1	2	yes	—
661	C₂²×Q₈	—	2	1	no	—
662	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
663	C₂²×Q₈	C₂³×C₂₉	1	2	yes	—
664	C₂²×D₄	—	2	1	no	—
665	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
666	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
667	#137	—	4	2	no	—
668	AGL(1,ℤ/8)	—	4	2	no	—
669	AGL(1,ℤ/8)	—	4	4	no	—
670	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
671	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
672	C₂×SD₁₆	—	4	4	no	—
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×SD₁₆	C₂³×C₂₉	1	2	yes	—
680	C₂×D₈	C₂³×C₂₉	1	2	yes	—
681	C₂×D₈	C₂³×C₂₉	1	2	yes	—
682	C₂×D₈	C₂³×C₂₉	1	2	yes	—
683	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
684	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
685	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
687	C₄⋊Q₈	—	2	2	no	—
688	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
689	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
690	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
691	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
692	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
693	#127	C₂³×C₂₉	1	1	yes	characteristic
694	#126	—	2	2	no	—
695	#126	—	2	2	no	—
696	#126	—	2	2	no	—
697	#126	—	2	2	no	—
698	#126	—	2	2	no	—
699	#126	D₄×C₂₉	1	2	yes	—
700	#125	—	2	1	no	—
701	#125	D₄×C₂₉	1	1	yes	characteristic
702	#124	—	2	1	no	—
703	#124	—	2	1	no	—
704	#124	—	2	2	no	—
705	#124	—	2	2	no	—
706	#124	—	2	2	no	—
707	#124	—	2	2	no	—
708	#124	—	2	2	no	—
709	#124	—	2	1	no	—
710	#124	—	2	1	no	—
711	#124	—	2	1	no	—
712	#124	D₄×C₂₉	1	1	yes	characteristic
713	#124	C₂³×C₂₉	1	2	yes	—
714	#124	C₂³×C₂₉	1	2	yes	—
715	#124	C₂³×C₂₉	1	2	yes	—
716	#124	C₂³×C₂₉	1	2	yes	—
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	—	2	2	no	—
724	#123	D₄×C₂₉	1	2	yes	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	1	no	—
727	C₂²⋊Q₈	—	2	1	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
737	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
738	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
739	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
740	#121	—	2	2	no	—
741	#121	—	2	2	no	—
742	#121	—	2	1	no	—
743	#121	—	2	1	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	D₄×C₂₉	1	1	yes	characteristic
747	#121	C₂³×C₂₉	1	2	yes	—
748	#121	C₂³×C₂₉	1	2	yes	—
749	#121	C₂³×C₂₉	1	2	yes	—
750	#120	—	2	2	no	—
751	#120	—	2	2	no	—
752	#120	—	2	2	no	—
753	C₄×Q₈	—	2	1	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
756	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
757	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
758	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
759	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
769	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
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	2	yes	—
774	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
775	C₄×D₄	C₂³×C₂₉	1	2	yes	—
776	#117	—	2	1	no	—
777	#117	—	2	2	no	—
778	#117	—	2	2	no	—
779	#117	—	2	1	no	—
780	#117	C₂³×C₂₉	1	1	yes	characteristic
781	#117	C₂³×C₂₉	1	2	yes	—
782	#117	C₂³×C₂₉	1	2	yes	—
783	C₂×C₂²⋊C₄	—	2	1	no	—
784	C₂×C₂²⋊C₄	—	2	1	no	—
785	C₂×C₂²⋊C₄	—	2	2	no	—
786	C₂×C₂²⋊C₄	—	2	2	no	—
787	C₂×C₂²⋊C₄	—	2	2	no	—
788	C₂×C₂²⋊C₄	—	2	2	no	—
789	C₂×C₄²	—	2	1	no	—
790	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
791	#107	C₂³×C₂₉	1	2	yes	—
792	#107	C₂³×C₂₉	1	2	yes	—
793	#107	C₂³×C₂₉	1	2	yes	—
794	#106	C₂³×C₂₉	1	2	yes	—
795	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
796	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
797	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
798	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
799	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
800	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
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	#103	C₂³×C₂₉	1	2	yes	—
808	#103	C₂³×C₂₉	1	2	yes	—
809	#103	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	#102	C₂³×C₂₉	1	2	yes	—
817	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
818	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
819	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
820	#97	C₂³×C₂₉	1	2	yes	—
821	#97	C₂³×C₂₉	1	2	yes	—
822	C₄×C₈	C₂³×C₂₉	1	2	yes	—
823	C₂₉	#62087	1	1	yes	characteristic, direct product factor, Sylow
824	C₂⁴	—	2	1	no	—
825	C₂⁴	—	2	2	no	—
826	#41	—	2	2	no	—
827	#41	—	4	1	no	—
828	#41	—	4	2	no	—
829	#41	—	4	2	no	—
830	#41	—	8	2	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	2	2	no	—
835	C₂×Q₈	—	2	1	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	1	no	—
838	C₂×Q₈	—	4	1	no	—
839	C₂×Q₈	—	4	2	no	—
840	C₂×Q₈	—	8	2	no	—
841	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
842	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
843	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
844	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	1	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	1	no	—
853	C₂×D₄	—	2	1	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	4	1	no	—
857	C₂×D₄	—	4	1	no	—
858	C₂×D₄	—	8	2	no	—
859	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
860	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
861	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
862	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
863	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	1	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	2	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
875	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
878	Q₁₆	—	4	2	no	—
879	Q₁₆	—	4	2	no	—
880	SD₁₆	—	2	4	no	—
881	SD₁₆	—	2	4	no	—
882	SD₁₆	—	4	2	no	—
883	SD₁₆	—	4	2	no	—
884	SD₁₆	—	4	2	no	—
885	SD₁₆	—	4	2	no	—
886	SD₁₆	—	4	2	no	—
887	D₈	—	2	4	no	—
888	D₈	—	4	2	no	—
889	D₈	—	4	2	no	—
890	M₁₆	—	4	2	no	—
891	M₁₆	—	4	1	no	—
892	M₁₆	—	4	1	no	—
893	C₂×C₈	—	4	2	no	—
894	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
895	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
896	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
897	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	1	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
913	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
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	C₂⁴×C₂₉	1	2	yes	—
919	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
920	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
921	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	1	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	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	1	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
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	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
948	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
949	C₄²	—	2	1	no	—
950	C₄²	—	2	1	no	—
951	C₄²	—	2	1	no	—
952	C₄²	—	2	2	no	—
953	C₄²	—	2	2	no	—
954	C₄²	—	2	2	no	—
955	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
956	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
957	C₄²	C₂⁴×C₂₉	1	2	yes	—
958	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
959	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
960	C₂³	—	2	1	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	4	4	no	—
964	C₂³	—	4	2	no	—
965	C₂³	—	8	1	no	—
966	C₂³	—	8	2	no	—
967	C₂³	—	8	1	no	—
968	C₂³	—	8	2	no	—
969	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
970	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
971	Q₈	—	2	2	no	—
972	Q₈	—	2	2	no	—
973	Q₈	—	2	1	no	—
974	Q₈	—	2	2	no	—
975	Q₈	—	2	1	no	—
976	Q₈	—	2	2	no	—
977	Q₈	—	4	1	no	—
978	Q₈	—	4	2	no	—
979	Q₈	—	8	1	no	—
980	Q₈	—	8	2	no	—
981	Q₈	—	8	2	no	—
982	Q₈	—	8	1	no	—
983	D₄	—	2	2	no	—
984	D₄	—	2	2	no	—
985	D₄	—	2	1	no	—
986	D₄	—	2	2	no	—
987	D₄	—	2	2	no	—
988	D₄	—	4	1	no	—
989	D₄	—	4	2	no	—
990	D₄	—	4	4	no	—
991	D₄	—	4	2	no	—
992	D₄	—	4	2	no	—
993	D₄	—	8	1	no	—
994	D₄	—	8	1	no	—
995	D₄	—	8	2	no	—
996	D₄	—	8	2	no	—
997	D₄	—	8	2	no	—
998	D₄	—	8	2	no	—
999	D₄	C₂₉×H(5,𝔽₂)	1	2	yes	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	4	1	no	—
1012	C₂×C₄	—	4	1	no	—
1013	C₂×C₄	—	4	2	no	—
1014	C₂×C₄	—	4	2	no	—
1015	C₂×C₄	—	8	2	no	—
1016	C₂×C₄	—	8	2	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	1	no	—
1020	C₂×C₄	—	8	2	no	—
1021	C₂×C₄	—	8	2	no	—
1022	C₂×C₄	—	8	1	no	—
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	C₂²×D₄×C₂₉	1	1	yes	characteristic
1030	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1031	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1032	C₈	—	2	2	no	—
1033	C₈	—	2	2	no	—
1034	C₈	—	2	2	no	—
1035	C₈	—	2	2	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	1	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	4	1	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	16	4	no	—
1052	C₂²	—	16	2	no	—
1053	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1054	C₄	—	2	1	no	—
1055	C₄	—	2	2	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	2	1	no	—
1058	C₄	—	2	2	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	1	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	4	1	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	1	no	—
1066	C₄	—	4	2	no	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1070	C₄	C₂₉×#585	1	1	yes	characteristic
1071	C₂	—	4	1	no	—
1072	C₂	—	4	2	no	—
1073	C₂	—	4	2	no	—
1074	C₂	—	8	2	no	—
1075	C₂	—	8	2	no	—
1076	C₂	C₂₉×#3488	1	1	yes	characteristic
1077	C₂	C₂₉×#3585	1	1	yes	characteristic
1078	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×#3561	C₂	semidirect
2. C₂₉×#3514	C₂	semidirect
3. C₂₉×#3401	C₂	semidirect
4. C₂₉×#3367	C₂	semidirect
5. C₂₉×#3329	C₂	semidirect
6. C₂₉×#3319	C₂	semidirect
7. C₂₉×#3313	C₂	semidirect
8. C₂₉×#3273	C₂	semidirect
9. C₂₉×#3266	C₂	semidirect
10. C₂₉×#3265	C₂	semidirect
11. C₂₉×#3262	C₂	semidirect
12. C₂₉×#3254	C₂	semidirect
13. C₂₉×#3225	C₂	semidirect
14. C₂₉×#3213	C₂	semidirect
15. C₂₉×#3118	C₂	semidirect
16. C₂₉×#3116	C₂	semidirect
17. C₂₉×#3042	C₂	semidirect
18. C₂₉×#3040	C₂	semidirect
19. C₂₉×#2995	C₂	semidirect
23. C₂²×SD₁₆×C₂₉	C₂²	semidirect
26. C₂₉×#559	C₂²	semidirect
27. C₂₉×#556	C₂²	semidirect
28. C₂₉×#556	C₂²	semidirect
32. D₄×Q₈×C₂₉	C₂²	semidirect
33. D₄×Q₈×C₂₉	C₂²	semidirect
38. C₂₉×#546	C₂²	semidirect
39. D₄²×C₂₉	C₂²	semidirect
42. C₂₉×#542	C₂²	semidirect
43. C₂₉×#542	C₂²	semidirect
46. C₂₉×#536	C₂²	semidirect
47. C₂₉×#533	C₂²	semidirect
52. C₂×C₂₉×#124	C₂²	semidirect
53. C₂₉×#518	C₂²	semidirect
55. C₂₉×#497	C₂²	semidirect
57. C₂₉×#495	C₂²	semidirect
58. C₂₉×#489	C₂²	semidirect
59. C₂₉×#489	C₂²	semidirect
60. C₂₉×#487	C₂²	semidirect
61. C₂₉×#485	C₂²	semidirect
62. C₂₉×#485	C₂²	semidirect
63. C₂₉×#482	C₂²	semidirect
64. C₂₉×#477	C₂²	semidirect
65. C₂₉×#477	C₂²	semidirect
66. C₂₉×#477	C₂²	semidirect
67. C₂₉×#476	C₂²	semidirect
68. C₂₉×#474	C₂²	semidirect
69. C₂₉×#474	C₂²	semidirect
70. C₂₉×#468	C₂²	semidirect
71. C₂₉×#468	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
82. C₂₉×#463	C₂²	semidirect
83. C₂₉×#463	C₂²	semidirect
84. C₂₉×#463	C₂²	semidirect
85. C₂₉×#463	C₂²	semidirect
86. C₂₉×#462	C₂²	semidirect
87. C₂₉×#461	C₂²	semidirect
88. C₂₉×#461	C₂²	semidirect
89. C₂₉×#461	C₂²	semidirect
90. C₂₉×#461	C₂²	semidirect
91. C₂₉×#460	C₂²	semidirect
93. C₂₉×#452	C₂²	semidirect
94. C₂₉×#451	C₂²	semidirect
95. C₂₉×#450	C₂²	semidirect
97. C₂₉×#448	C₂²	semidirect
98. C₂₉×#448	C₂²	semidirect
100. C₂₉×#447	C₂²	semidirect
101. C₂₉×#446	C₂²	semidirect
102. C₂₉×#442	C₂²	semidirect
103. C₂₉×#441	C₂²	semidirect
104. C₂₉×#440	C₂²	semidirect
105. C₂₉×#440	C₂²	semidirect
106. C₄×SD₁₆×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
116. C₂₉×#419	C₂²	semidirect
117. C₂₉×#418	C₂²	semidirect
118. C₂₉×#416	C₂²	semidirect
420. #62087	C₂₉	direct (N × H)
497. #3561	C₂×C₂₉	semidirect
498. #3514	C₂×C₂₉	semidirect
499. #3401	C₂×C₂₉	semidirect
500. #3367	C₂×C₂₉	semidirect
501. #3329	C₂×C₂₉	semidirect
502. #3319	C₂×C₂₉	semidirect
503. #3313	C₂×C₂₉	semidirect
504. #3273	C₂×C₂₉	semidirect
505. #3266	C₂×C₂₉	semidirect
506. #3265	C₂×C₂₉	semidirect
507. #3262	C₂×C₂₉	semidirect
508. #3254	C₂×C₂₉	semidirect
509. #3225	C₂×C₂₉	semidirect
510. #3213	C₂×C₂₉	semidirect
511. #3118	C₂×C₂₉	semidirect
512. #3116	C₂×C₂₉	semidirect
513. #3042	C₂×C₂₉	semidirect
514. #3040	C₂×C₂₉	semidirect
515. #2995	C₂×C₂₉	semidirect
554. C₂²×SD₁₆	C₂²×C₂₉	semidirect
557. #559	C₂²×C₂₉	semidirect
558. #556	C₂²×C₂₉	semidirect
559. #556	C₂²×C₂₉	semidirect
563. D₄×Q₈	C₂²×C₂₉	semidirect
564. D₄×Q₈	C₂²×C₂₉	semidirect
569. #546	C₂²×C₂₉	semidirect
570. D₄²	C₂²×C₂₉	semidirect
573. #542	C₂²×C₂₉	semidirect
574. #542	C₂²×C₂₉	semidirect
577. #536	C₂²×C₂₉	semidirect
578. #533	C₂²×C₂₉	semidirect
583. C₂×#124	C₂²×C₂₉	semidirect
584. #518	C₂²×C₂₉	semidirect
586. #497	C₂²×C₂₉	semidirect
588. #495	C₂²×C₂₉	semidirect
589. #489	C₂²×C₂₉	semidirect
590. #489	C₂²×C₂₉	semidirect
591. #487	C₂²×C₂₉	semidirect
592. #485	C₂²×C₂₉	semidirect
593. #485	C₂²×C₂₉	semidirect
594. #482	C₂²×C₂₉	semidirect
595. #477	C₂²×C₂₉	semidirect
596. #477	C₂²×C₂₉	semidirect
597. #477	C₂²×C₂₉	semidirect
598. #476	C₂²×C₂₉	semidirect
599. #474	C₂²×C₂₉	semidirect
600. #474	C₂²×C₂₉	semidirect
601. #468	C₂²×C₂₉	semidirect
602. #468	C₂²×C₂₉	semidirect
603. #468	C₂²×C₂₉	semidirect
604. #468	C₂²×C₂₉	semidirect
605. #467	C₂²×C₂₉	semidirect
607. #464	C₂²×C₂₉	semidirect
608. #464	C₂²×C₂₉	semidirect
609. #464	C₂²×C₂₉	semidirect
613. #463	C₂²×C₂₉	semidirect
614. #463	C₂²×C₂₉	semidirect
615. #463	C₂²×C₂₉	semidirect
616. #463	C₂²×C₂₉	semidirect
617. #462	C₂²×C₂₉	semidirect
618. #461	C₂²×C₂₉	semidirect
619. #461	C₂²×C₂₉	semidirect
620. #461	C₂²×C₂₉	semidirect
621. #461	C₂²×C₂₉	semidirect
622. #460	C₂²×C₂₉	semidirect
624. #452	C₂²×C₂₉	semidirect
625. #451	C₂²×C₂₉	semidirect
626. #450	C₂²×C₂₉	semidirect
628. #448	C₂²×C₂₉	semidirect
629. #448	C₂²×C₂₉	semidirect
631. #447	C₂²×C₂₉	semidirect
632. #446	C₂²×C₂₉	semidirect
633. #442	C₂²×C₂₉	semidirect
634. #441	C₂²×C₂₉	semidirect
635. #440	C₂²×C₂₉	semidirect
636. #440	C₂²×C₂₉	semidirect
637. C₄×SD₁₆	C₂²×C₂₉	semidirect
639. #436	C₂²×C₂₉	semidirect
640. #435	C₂²×C₂₉	semidirect
641. #435	C₂²×C₂₉	semidirect
642. #433	C₂²×C₂₉	semidirect
643. #432	C₂²×C₂₉	semidirect
644. #424	C₂²×C₂₉	semidirect
645. #423	C₂²×C₂₉	semidirect
646. #419	C₂²×C₂₉	semidirect
647. #419	C₂²×C₂₉	semidirect
648. #418	C₂²×C₂₉	semidirect
649. #416	C₂²×C₂₉	semidirect
823. C₂₉	#62087	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×#3561	2
C₂₉×#3514	2
C₂₉×#3401	2
C₂₉×#3367	2
C₂₉×#3329	2
C₂₉×#3319	2
C₂₉×#3313	2
C₂₉×#3273	2
C₂₉×#3266	2
C₂₉×#3265	2
C₂₉×#3262	2
C₂₉×#3254	2
C₂₉×#3225	2
C₂₉×#3213	2
C₂₉×#3118	2
C₂₉×#3116	2
C₂₉×#3042	2
C₂₉×#3040	2
C₂₉×#2995	2
#62087	29

Subgroups — C29×#62087 #20356987

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62087 #20356987