Subgroups — C₂₉×#62088 #20356988

Order 7424.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1108 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×#3514	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3403	C₂	1	2	yes	maximal, complemented
4	C₂₉×#3373	C₂	1	2	yes	maximal, complemented
5	C₂₉×#3325	C₂	1	2	yes	maximal, complemented
6	C₂₉×#3321	C₂	1	2	yes	maximal, complemented
7	C₂₉×#3311	C₂	1	2	yes	maximal, complemented
8	C₂₉×#3275	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3264	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3264	C₂	1	2	yes	maximal, complemented
11	C₂₉×#3263	C₂	1	2	yes	maximal, complemented
12	C₂₉×#3253	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3224	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×#3115	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3041	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	C₂²×D₈×C₂₉	C₂²	1	2	yes	complemented
24	C₂₉×#562	—	2	1	no	—
25	C₂₉×H(3,𝔽₄)	—	2	1	no	—
26	C₂₉×#559	C₂²	1	1	yes	characteristic, complemented
27	C₂₉×#559	C₂²	1	2	yes	complemented
28	C₂₉×#556	C₂²	1	1	yes	characteristic, complemented
29	C₂₉×#555	C₂²	1	2	yes	complemented
30	C₂₉×#551	—	2	2	no	—
31	D₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic, complemented
32	C₂₉×#548	—	2	1	no	—
33	C₂₉×#548	C₂²	1	2	yes	complemented
34	C₂₉×#546	—	2	2	no	—
35	C₂₉×#546	—	2	1	no	—
36	C₂₉×#546	C₂²	1	2	yes	—
37	C₂₉×#546	C₂²	1	2	yes	complemented
38	D₄²×C₂₉	C₂²	1	1	yes	characteristic, complemented
39	D₄²×C₂₉	C₂²	1	2	yes	complemented
40	C₂₉×#542	C₂²	1	2	yes	complemented
41	C₂₉×#542	C₂²	1	2	yes	complemented
42	C₂₉×#538	—	2	2	no	—
43	C₂₉×#538	—	2	2	no	—
44	C₂₉×#538	—	2	1	no	—
45	C₂₉×#535	C₂²	1	2	yes	complemented
46	C₂₉×#534	—	2	1	no	—
47	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
48	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
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, complemented
55	C₂₉×#496	C₂²	1	2	yes	complemented
56	C₂₉×#496	C₂²	1	2	yes	complemented
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×#486	C₂²	1	2	yes	complemented
61	C₂₉×#485	C₂²	1	2	yes	complemented
62	C₂₉×#482	C₂²	1	2	yes	complemented
63	C₂₉×#482	C₂²	1	2	yes	complemented
64	C₂₉×#476	C₂²	1	2	yes	complemented
65	C₂₉×#476	C₂²	1	2	yes	complemented
66	C₂₉×#476	C₂²	1	2	yes	complemented
67	C₂₉×#475	C₂²	1	1	yes	characteristic, complemented
68	C₂₉×#475	C₂²	1	2	yes	complemented
69	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
70	C₂₉×#470	C₂²	1	2	yes	complemented
71	C₂₉×#469	C₂²	1	2	yes	—
72	C₂₉×#469	C₂²	1	2	yes	complemented
73	C₂₉×#469	C₂²	1	2	yes	complemented
74	C₂₉×#465	C₂²	1	2	yes	complemented
75	C₂₉×#465	C₂²	1	2	yes	complemented
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	complemented
80	C₂₉×#463	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×#463	C₂²	1	2	yes	complemented
85	C₂₉×#463	C₂²	1	2	yes	complemented
86	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
87	C₂₉×#459	C₂²	1	2	yes	—
88	C₂₉×#459	C₂²	1	2	yes	complemented
89	C₂₉×#459	C₂²	1	2	yes	complemented
90	C₂₉×#459	C₂²	1	1	yes	characteristic, complemented
91	C₂₉×#459	C₂²	1	2	yes	complemented
92	C₂₉×#452	C₂²	1	2	yes	complemented
93	C₂₉×#450	C₂²	1	2	yes	complemented
94	C₂₉×#450	C₂²	1	2	yes	complemented
95	C₂₉×#449	C₂²	1	2	yes	complemented
96	C₂₉×#449	C₂²	1	2	yes	complemented
97	C₂₉×#448	C₂²	1	2	yes	complemented
98	C₂₉×#447	C₂²	1	2	yes	—
99	C₂₉×#447	C₂²	1	2	yes	complemented
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×#442	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	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, complemented
117	C₂₉×#418	C₂²	1	2	yes	complemented
118	C₂₉×#416	C₂²	1	2	yes	complemented
119	C₂×#41×C₂₉	—	2	1	no	—
120	C₂×#41×C₂₉	—	2	1	no	—
121	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
122	C₂×#41×C₂₉	C₂³	1	2	yes	—
123	C₂²×Q₈×C₂₉	—	2	1	no	—
124	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₂₉	—	2	1	no	—
126	C₂²×D₄×C₂₉	—	2	2	no	—
127	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₂₉	C₂³	1	2	yes	—
130	C₂₉×#137	—	4	2	no	—
131	C₂₉×AGL(1,ℤ/8)	—	4	2	no	—
132	C₂₉×AGL(1,ℤ/8)	—	4	4	no	—
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×D₈×C₂₉	—	4	4	no	—
140	C₂×D₈×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×D₈×C₂₉	C₂³	1	2	yes	—
145	C₂×D₈×C₂₉	C₂³	1	2	yes	—
146	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
147	C₂×M₁₆×C₂₉	C₂³	1	2	yes	—
148	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₂₉	C₂³	1	2	yes	—
150	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₂₉×#127	C₂³	1	2	yes	—
154	C₂₉×#127	C₂³	1	1	yes	characteristic
155	C₂₉×#127	C₂³	1	1	yes	characteristic
156	C₂₉×#126	—	2	2	no	—
157	C₂₉×#126	—	2	2	no	—
158	C₂₉×#126	—	2	2	no	—
159	C₂₉×#126	D₄	1	2	yes	—
160	C₂₉×#125	D₄	1	1	yes	characteristic
161	C₂₉×#124	—	2	1	no	—
162	C₂₉×#124	—	2	2	no	—
163	C₂₉×#124	—	2	1	no	—
164	C₂₉×#124	—	2	2	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	1	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	1	no	—
187	C₂₉×C₂²⋊Q₈	—	2	2	no	—
188	C₂₉×C₂²⋊Q₈	—	2	2	no	—
189	C₂₉×C₂²⋊Q₈	—	2	2	no	—
190	C₂₉×C₂²⋊Q₈	—	2	2	no	—
191	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
192	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₂₉×#121	—	2	2	no	—
195	C₂₉×#121	—	2	2	no	—
196	C₂₉×#121	—	2	1	no	—
197	C₂₉×#121	—	2	1	no	—
198	C₂₉×#121	—	2	1	no	—
199	C₂₉×#121	—	2	2	no	—
200	C₂₉×#121	—	2	2	no	—
201	C₂₉×#121	—	2	2	no	—
202	C₂₉×#121	—	2	2	no	—
203	C₂₉×#121	—	2	2	no	—
204	C₂₉×#121	D₄	1	1	yes	characteristic
205	C₂₉×#121	C₂³	1	2	yes	—
206	C₂₉×#121	C₂³	1	2	yes	—
207	C₂₉×#121	C₂³	1	2	yes	—
208	C₂₉×#121	C₂³	1	2	yes	—
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	C₂₉×#120	—	2	2	no	—
214	C₂₉×#120	—	2	2	no	—
215	C₂₉×#120	—	2	2	no	—
216	C₄×Q₈×C₂₉	—	2	1	no	—
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	1	no	—
222	C₄×D₄×C₂₉	—	2	1	no	—
223	C₄×D₄×C₂₉	—	2	2	no	—
224	C₄×D₄×C₂₉	—	2	2	no	—
225	C₄×D₄×C₂₉	—	2	1	no	—
226	C₄×D₄×C₂₉	—	2	2	no	—
227	C₄×D₄×C₂₉	—	2	2	no	—
228	C₄×D₄×C₂₉	—	2	1	no	—
229	C₄×D₄×C₂₉	—	2	1	no	—
230	C₄×D₄×C₂₉	C₂³	1	2	yes	—
231	C₄×D₄×C₂₉	C₂³	1	2	yes	—
232	C₄×D₄×C₂₉	C₂³	1	2	yes	—
233	C₄×D₄×C₂₉	C₂³	1	2	yes	—
234	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₂₉	C₂³	1	2	yes	—
237	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₂₉	C₂³	1	2	yes	—
239	C₂₉×#117	—	2	2	no	—
240	C₂₉×#117	—	2	1	no	—
241	C₂₉×#117	C₂³	1	1	yes	characteristic
242	C₂₉×#117	C₂³	1	2	yes	—
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×#106	C₂³	1	2	yes	—
254	C₂₉×#106	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×#102	C₂³	1	2	yes	—
268	C₂₉×#102	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	2	no	—
285	C₂⁴×C₂₉	—	2	1	no	—
286	C₂⁴×C₂₉	—	2	2	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	—	8	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	2	no	—
296	C₂×Q₈×C₂₉	—	2	1	no	—
297	C₂×Q₈×C₂₉	—	4	1	no	—
298	C₂×Q₈×C₂₉	—	4	1	no	—
299	C₂×Q₈×C₂₉	—	8	2	no	—
300	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
301	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
302	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
303	C₂×D₄×C₂₉	—	2	4	no	—
304	C₂×D₄×C₂₉	—	2	1	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	2	no	—
309	C₂×D₄×C₂₉	—	2	2	no	—
310	C₂×D₄×C₂₉	—	2	2	no	—
311	C₂×D₄×C₂₉	—	2	1	no	—
312	C₂×D₄×C₂₉	—	2	2	no	—
313	C₂×D₄×C₂₉	—	2	1	no	—
314	C₂×D₄×C₂₉	—	2	1	no	—
315	C₂×D₄×C₂₉	—	2	1	no	—
316	C₂×D₄×C₂₉	—	2	1	no	—
317	C₂×D₄×C₂₉	—	2	2	no	—
318	C₂×D₄×C₂₉	—	2	2	no	—
319	C₂×D₄×C₂₉	—	4	2	no	—
320	C₂×D₄×C₂₉	—	4	2	no	—
321	C₂×D₄×C₂₉	—	4	1	no	—
322	C₂×D₄×C₂₉	—	4	2	no	—
323	C₂×D₄×C₂₉	—	4	1	no	—
324	C₂×D₄×C₂₉	—	8	2	no	—
325	C₂×D₄×C₂₉	—	8	4	no	—
326	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
327	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
328	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
329	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
330	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
331	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₂₉	—	2	1	no	—
333	C₂²×C₄×C₂₉	—	2	1	no	—
334	C₂²×C₄×C₂₉	—	2	1	no	—
335	C₂²×C₄×C₂₉	—	2	1	no	—
336	C₂²×C₄×C₂₉	—	2	2	no	—
337	C₂²×C₄×C₂₉	—	2	2	no	—
338	C₂²×C₄×C₂₉	—	2	2	no	—
339	C₂²×C₄×C₂₉	—	2	2	no	—
340	C₂²×C₄×C₂₉	—	2	2	no	—
341	C₂²×C₄×C₂₉	—	2	2	no	—
342	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
343	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
344	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
346	Q₁₆×C₂₉	—	4	2	no	—
347	SD₁₆×C₂₉	—	2	4	no	—
348	SD₁₆×C₂₉	—	4	2	no	—
349	SD₁₆×C₂₉	—	4	2	no	—
350	SD₁₆×C₂₉	—	4	2	no	—
351	SD₁₆×C₂₉	—	4	2	no	—
352	D₈×C₂₉	—	2	4	no	—
353	D₈×C₂₉	—	2	4	no	—
354	D₈×C₂₉	—	4	2	no	—
355	D₈×C₂₉	—	4	2	no	—
356	D₈×C₂₉	—	4	2	no	—
357	D₈×C₂₉	—	4	2	no	—
358	M₁₆×C₂₉	—	4	1	no	—
359	M₁₆×C₂₉	—	4	2	no	—
360	M₁₆×C₂₉	—	4	1	no	—
361	C₂×C₈×C₂₉	—	4	2	no	—
362	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
363	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
364	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
365	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₂₉	—	2	1	no	—
367	C₄⋊C₄×C₂₉	—	2	1	no	—
368	C₄⋊C₄×C₂₉	—	2	2	no	—
369	C₄⋊C₄×C₂₉	—	2	2	no	—
370	C₄⋊C₄×C₂₉	—	2	1	no	—
371	C₄⋊C₄×C₂₉	—	2	1	no	—
372	C₄⋊C₄×C₂₉	—	2	2	no	—
373	C₄⋊C₄×C₂₉	—	2	2	no	—
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	2	yes	—
377	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
378	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
379	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
380	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
381	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
382	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
383	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
384	C₂²⋊C₄×C₂₉	—	2	2	no	—
385	C₂²⋊C₄×C₂₉	—	2	2	no	—
386	C₂²⋊C₄×C₂₉	—	2	2	no	—
387	C₂²⋊C₄×C₂₉	—	2	1	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	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	—	2	2	no	—
405	C₂²⋊C₄×C₂₉	—	2	2	no	—
406	C₂²⋊C₄×C₂₉	—	2	2	no	—
407	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
408	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
409	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
410	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
411	C₂²⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
412	C₄²×C₂₉	—	2	1	no	—
413	C₄²×C₂₉	—	2	1	no	—
414	C₄²×C₂₉	—	2	1	no	—
415	C₄²×C₂₉	—	2	2	no	—
416	C₄²×C₂₉	—	2	2	no	—
417	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
418	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
419	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
420	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
421	C₄²×C₂₉	C₂⁴	1	2	yes	—
422	#62088	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
423	C₂³×C₂₉	—	2	1	no	—
424	C₂³×C₂₉	—	2	2	no	—
425	C₂³×C₂₉	—	2	2	no	—
426	C₂³×C₂₉	—	2	2	no	—
427	C₂³×C₂₉	—	4	4	no	—
428	C₂³×C₂₉	—	4	2	no	—
429	C₂³×C₂₉	—	8	1	no	—
430	C₂³×C₂₉	—	8	2	no	—
431	C₂³×C₂₉	—	8	2	no	—
432	C₂³×C₂₉	—	8	2	no	—
433	C₂³×C₂₉	—	8	1	no	—
434	C₂³×C₂₉	—	8	2	no	—
435	C₂³×C₂₉	—	8	2	no	—
436	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
437	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
438	Q₈×C₂₉	—	2	2	no	—
439	Q₈×C₂₉	—	2	1	no	—
440	Q₈×C₂₉	—	2	1	no	—
441	Q₈×C₂₉	—	2	2	no	—
442	Q₈×C₂₉	—	4	1	no	—
443	Q₈×C₂₉	—	4	2	no	—
444	Q₈×C₂₉	—	8	1	no	—
445	Q₈×C₂₉	—	8	2	no	—
446	Q₈×C₂₉	—	8	1	no	—
447	D₄×C₂₉	—	2	2	no	—
448	D₄×C₂₉	—	2	2	no	—
449	D₄×C₂₉	—	2	2	no	—
450	D₄×C₂₉	—	2	1	no	—
451	D₄×C₂₉	—	2	2	no	—
452	D₄×C₂₉	—	2	2	no	—
453	D₄×C₂₉	—	2	2	no	—
454	D₄×C₂₉	—	4	1	no	—
455	D₄×C₂₉	—	4	2	no	—
456	D₄×C₂₉	—	4	4	no	—
457	D₄×C₂₉	—	4	2	no	—
458	D₄×C₂₉	—	4	2	no	—
459	D₄×C₂₉	—	4	4	no	—
460	D₄×C₂₉	—	8	1	no	—
461	D₄×C₂₉	—	8	1	no	—
462	D₄×C₂₉	—	8	2	no	—
463	D₄×C₂₉	—	8	1	no	—
464	D₄×C₂₉	—	8	2	no	—
465	D₄×C₂₉	—	8	2	no	—
466	D₄×C₂₉	—	8	1	no	—
467	D₄×C₂₉	—	8	2	no	—
468	D₄×C₂₉	—	8	2	no	—
469	D₄×C₂₉	—	8	2	no	—
470	D₄×C₂₉	—	8	2	no	—
471	D₄×C₂₉	H(5,𝔽₂)	1	2	yes	—
472	C₂×C₄×C₂₉	—	2	2	no	—
473	C₂×C₄×C₂₉	—	2	1	no	—
474	C₂×C₄×C₂₉	—	2	2	no	—
475	C₂×C₄×C₂₉	—	2	1	no	—
476	C₂×C₄×C₂₉	—	2	1	no	—
477	C₂×C₄×C₂₉	—	2	1	no	—
478	C₂×C₄×C₂₉	—	2	1	no	—
479	C₂×C₄×C₂₉	—	2	2	no	—
480	C₂×C₄×C₂₉	—	2	2	no	—
481	C₂×C₄×C₂₉	—	2	2	no	—
482	C₂×C₄×C₂₉	—	4	1	no	—
483	C₂×C₄×C₂₉	—	4	1	no	—
484	C₂×C₄×C₂₉	—	4	2	no	—
485	C₂×C₄×C₂₉	—	4	2	no	—
486	C₂×C₄×C₂₉	—	8	1	no	—
487	C₂×C₄×C₂₉	—	8	2	no	—
488	C₂×C₄×C₂₉	—	8	2	no	—
489	C₂×C₄×C₂₉	—	8	2	no	—
490	C₂×C₄×C₂₉	—	8	2	no	—
491	C₂×C₄×C₂₉	—	8	2	no	—
492	C₂×C₄×C₂₉	—	8	2	no	—
493	C₂×C₄×C₂₉	—	8	1	no	—
494	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
497	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
499	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
503	C₈×C₂₉	—	2	2	no	—
504	C₈×C₂₉	—	2	2	no	—
505	C₈×C₂₉	—	2	2	no	—
506	C₈×C₂₉	—	2	2	no	—
507	#3558	C₂×C₂₉	1	1	yes	characteristic, complemented
508	#3514	C₂×C₂₉	1	1	yes	characteristic, complemented
509	#3403	C₂×C₂₉	1	2	yes	complemented
510	#3373	C₂×C₂₉	1	2	yes	complemented
511	#3325	C₂×C₂₉	1	2	yes	complemented
512	#3321	C₂×C₂₉	1	2	yes	complemented
513	#3311	C₂×C₂₉	1	2	yes	complemented
514	#3275	C₂×C₂₉	1	2	yes	complemented
515	#3264	C₂×C₂₉	1	2	yes	complemented
516	#3264	C₂×C₂₉	1	2	yes	complemented
517	#3263	C₂×C₂₉	1	2	yes	complemented
518	#3253	C₂×C₂₉	1	1	yes	characteristic, complemented
519	#3224	C₂×C₂₉	1	2	yes	complemented
520	#3213	C₂×C₂₉	1	1	yes	characteristic, complemented
521	#3118	C₂×C₂₉	1	2	yes	complemented
522	#3115	C₂×C₂₉	1	1	yes	characteristic, complemented
523	#3041	C₂×C₂₉	1	2	yes	complemented
524	#3040	C₂×C₂₉	1	1	yes	characteristic, complemented
525	#2995	C₂×C₂₉	1	1	yes	characteristic, complemented
526	C₂²×C₂₉	—	2	1	no	—
527	C₂²×C₂₉	—	2	1	no	—
528	C₂²×C₂₉	—	2	2	no	—
529	C₂²×C₂₉	—	2	2	no	—
530	C₂²×C₂₉	—	2	1	no	—
531	C₂²×C₂₉	—	2	2	no	—
532	C₂²×C₂₉	—	2	2	no	—
533	C₂²×C₂₉	—	4	1	no	—
534	C₂²×C₂₉	—	4	1	no	—
535	C₂²×C₂₉	—	4	2	no	—
536	C₂²×C₂₉	—	4	2	no	—
537	C₂²×C₂₉	—	4	2	no	—
538	C₂²×C₂₉	—	4	2	no	—
539	C₂²×C₂₉	—	4	2	no	—
540	C₂²×C₂₉	—	4	2	no	—
541	C₂²×C₂₉	—	4	2	no	—
542	C₂²×C₂₉	—	4	2	no	—
543	C₂²×C₂₉	—	4	2	no	—
544	C₂²×C₂₉	—	16	4	no	—
545	C₂²×C₂₉	—	16	2	no	—
546	C₂²×C₂₉	—	16	4	no	—
547	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
548	C₄×C₂₉	—	2	1	no	—
549	C₄×C₂₉	—	2	1	no	—
550	C₄×C₂₉	—	2	1	no	—
551	C₄×C₂₉	—	2	1	no	—
552	C₄×C₂₉	—	2	2	no	—
553	C₄×C₂₉	—	2	2	no	—
554	C₄×C₂₉	—	2	1	no	—
555	C₄×C₂₉	—	2	2	no	—
556	C₄×C₂₉	—	4	1	no	—
557	C₄×C₂₉	—	4	1	no	—
558	C₄×C₂₉	—	4	2	no	—
559	C₄×C₂₉	—	4	2	no	—
560	C₄×C₂₉	—	4	1	no	—
561	C₄×C₂₉	—	4	2	no	—
562	C₄×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
563	C₄×C₂₉	#585	1	1	yes	characteristic
564	C₂×#137	C₂²×C₂₉	1	1	yes	characteristic, complemented
565	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	1	yes	characteristic
566	C₂×AGL(1,ℤ/8)	C₂²×C₂₉	1	2	yes	complemented
567	C₂²×D₈	C₂²×C₂₉	1	2	yes	complemented
568	#562	—	2	1	no	—
569	H(3,𝔽₄)	—	2	1	no	—
570	#559	C₂²×C₂₉	1	2	yes	complemented
571	#559	C₂²×C₂₉	1	1	yes	characteristic, complemented
572	#556	C₂²×C₂₉	1	1	yes	characteristic, complemented
573	#555	C₂²×C₂₉	1	2	yes	complemented
574	#551	—	2	2	no	—
575	D₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
576	#548	—	2	1	no	—
577	#548	C₂²×C₂₉	1	2	yes	complemented
578	#546	—	2	2	no	—
579	#546	—	2	1	no	—
580	#546	C₂²×C₂₉	1	2	yes	—
581	#546	C₂²×C₂₉	1	2	yes	complemented
582	D₄²	C₂²×C₂₉	1	1	yes	characteristic, complemented
583	D₄²	C₂²×C₂₉	1	2	yes	complemented
584	#542	C₂²×C₂₉	1	2	yes	complemented
585	#542	C₂²×C₂₉	1	2	yes	complemented
586	#538	—	2	2	no	—
587	#538	—	2	2	no	—
588	#538	—	2	1	no	—
589	#535	C₂²×C₂₉	1	2	yes	complemented
590	#534	—	2	1	no	—
591	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
592	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
593	#529	—	2	1	no	—
594	#529	C₂²×C₂₉	1	1	yes	characteristic
595	C₂×#124	—	2	1	no	—
596	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic, complemented
597	#518	C₂²×C₂₉	1	2	yes	complemented
598	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic, complemented
599	#496	C₂²×C₂₉	1	2	yes	complemented
600	#496	C₂²×C₂₉	1	2	yes	complemented
601	#495	C₂²×C₂₉	1	2	yes	complemented
602	#489	C₂²×C₂₉	1	2	yes	complemented
603	#489	C₂²×C₂₉	1	2	yes	complemented
604	#486	C₂²×C₂₉	1	2	yes	complemented
605	#485	C₂²×C₂₉	1	2	yes	complemented
606	#482	C₂²×C₂₉	1	2	yes	complemented
607	#482	C₂²×C₂₉	1	2	yes	complemented
608	#476	C₂²×C₂₉	1	2	yes	complemented
609	#476	C₂²×C₂₉	1	2	yes	complemented
610	#476	C₂²×C₂₉	1	2	yes	complemented
611	#475	C₂²×C₂₉	1	1	yes	characteristic, complemented
612	#475	C₂²×C₂₉	1	2	yes	complemented
613	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
614	#470	C₂²×C₂₉	1	2	yes	complemented
615	#469	C₂²×C₂₉	1	2	yes	—
616	#469	C₂²×C₂₉	1	2	yes	complemented
617	#469	C₂²×C₂₉	1	2	yes	complemented
618	#465	C₂²×C₂₉	1	2	yes	complemented
619	#465	C₂²×C₂₉	1	2	yes	complemented
620	#464	C₂²×C₂₉	1	2	yes	complemented
621	#464	C₂²×C₂₉	1	2	yes	complemented
622	#464	C₂²×C₂₉	1	2	yes	complemented
623	#463	C₂²×C₂₉	1	2	yes	complemented
624	#463	C₂²×C₂₉	1	2	yes	complemented
625	#463	C₂²×C₂₉	1	2	yes	complemented
626	#463	C₂²×C₂₉	1	2	yes	complemented
627	#463	C₂²×C₂₉	1	2	yes	complemented
628	#463	C₂²×C₂₉	1	2	yes	complemented
629	#463	C₂²×C₂₉	1	2	yes	complemented
630	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
631	#459	C₂²×C₂₉	1	2	yes	—
632	#459	C₂²×C₂₉	1	1	yes	characteristic, complemented
633	#459	C₂²×C₂₉	1	2	yes	complemented
634	#459	C₂²×C₂₉	1	2	yes	complemented
635	#459	C₂²×C₂₉	1	2	yes	complemented
636	#452	C₂²×C₂₉	1	2	yes	complemented
637	#450	C₂²×C₂₉	1	2	yes	complemented
638	#450	C₂²×C₂₉	1	2	yes	complemented
639	#449	C₂²×C₂₉	1	2	yes	complemented
640	#449	C₂²×C₂₉	1	2	yes	complemented
641	#448	C₂²×C₂₉	1	2	yes	complemented
642	#447	C₂²×C₂₉	1	2	yes	—
643	#447	C₂²×C₂₉	1	2	yes	complemented
644	#447	C₂²×C₂₉	1	2	yes	complemented
645	#446	C₂²×C₂₉	1	2	yes	complemented
646	#442	C₂²×C₂₉	1	2	yes	complemented
647	#442	C₂²×C₂₉	1	2	yes	complemented
648	#440	C₂²×C₂₉	1	2	yes	complemented
649	#440	C₂²×C₂₉	1	2	yes	complemented
650	C₄×SD₁₆	C₂²×C₂₉	1	2	yes	complemented
651	C₄×D₈	C₂²×C₂₉	1	2	yes	complemented
652	#436	C₂²×C₂₉	1	2	yes	complemented
653	#435	C₂²×C₂₉	1	2	yes	complemented
654	#435	C₂²×C₂₉	1	2	yes	complemented
655	#433	C₂²×C₂₉	1	2	yes	complemented
656	#432	C₂²×C₂₉	1	1	yes	characteristic, complemented
657	#424	C₂²×C₂₉	1	2	yes	complemented
658	#423	C₂²×C₂₉	1	1	yes	characteristic, complemented
659	#419	C₂²×C₂₉	1	1	yes	characteristic, complemented
660	#418	C₂²×C₂₉	1	1	yes	characteristic, complemented
661	#418	C₂²×C₂₉	1	2	yes	complemented
662	#416	C₂²×C₂₉	1	2	yes	complemented
663	C₂×C₂₉	—	4	1	no	—
664	C₂×C₂₉	—	4	2	no	—
665	C₂×C₂₉	—	4	2	no	—
666	C₂×C₂₉	—	8	2	no	—
667	C₂×C₂₉	—	8	2	no	—
668	C₂×C₂₉	—	8	2	no	—
669	C₂×C₂₉	#3488	1	1	yes	characteristic
670	C₂×C₂₉	#3585	1	1	yes	characteristic
671	C₂×C₂₉	#3585	1	1	yes	characteristic
672	C₂×#41	—	2	1	no	—
673	C₂×#41	—	2	1	no	—
674	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
675	C₂×#41	C₂³×C₂₉	1	2	yes	—
676	C₂²×Q₈	—	2	1	no	—
677	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
678	C₂²×D₄	—	2	1	no	—
679	C₂²×D₄	—	2	2	no	—
680	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
681	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₂₉	1	2	yes	—
683	#137	—	4	2	no	—
684	AGL(1,ℤ/8)	—	4	2	no	—
685	AGL(1,ℤ/8)	—	4	4	no	—
686	C₂×Q₁₆	C₂³×C₂₉	1	2	yes	—
687	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
688	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
689	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
690	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
691	C₂×SD₁₆	C₂³×C₂₉	1	2	yes	—
692	C₂×D₈	—	4	4	no	—
693	C₂×D₈	C₂³×C₂₉	1	2	yes	—
694	C₂×D₈	C₂³×C₂₉	1	2	yes	—
695	C₂×D₈	C₂³×C₂₉	1	2	yes	—
696	C₂×D₈	C₂³×C₂₉	1	2	yes	—
697	C₂×D₈	C₂³×C₂₉	1	2	yes	—
698	C₂×D₈	C₂³×C₂₉	1	2	yes	—
699	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
700	C₂×M₁₆	C₂³×C₂₉	1	2	yes	—
701	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
702	C₂²×C₈	C₂³×C₂₉	1	2	yes	—
703	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
704	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
705	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
706	#127	C₂³×C₂₉	1	1	yes	characteristic
707	#127	C₂³×C₂₉	1	1	yes	characteristic
708	#127	C₂³×C₂₉	1	2	yes	—
709	#126	—	2	2	no	—
710	#126	—	2	2	no	—
711	#126	—	2	2	no	—
712	#126	D₄×C₂₉	1	2	yes	—
713	#125	D₄×C₂₉	1	1	yes	characteristic
714	#124	—	2	1	no	—
715	#124	—	2	2	no	—
716	#124	—	2	1	no	—
717	#124	—	2	2	no	—
718	#124	—	2	2	no	—
719	#124	—	2	2	no	—
720	#124	—	2	2	no	—
721	#124	—	2	2	no	—
722	#124	—	2	1	no	—
723	#124	—	2	1	no	—
724	#124	—	2	1	no	—
725	#124	—	2	1	no	—
726	#124	D₄×C₂₉	1	1	yes	characteristic
727	#124	C₂³×C₂₉	1	2	yes	—
728	#124	C₂³×C₂₉	1	2	yes	—
729	#124	C₂³×C₂₉	1	2	yes	—
730	#124	C₂³×C₂₉	1	2	yes	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	D₄×C₂₉	1	2	yes	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
745	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
746	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
747	#121	—	2	2	no	—
748	#121	—	2	2	no	—
749	#121	—	2	1	no	—
750	#121	—	2	1	no	—
751	#121	—	2	1	no	—
752	#121	—	2	2	no	—
753	#121	—	2	2	no	—
754	#121	—	2	2	no	—
755	#121	—	2	2	no	—
756	#121	—	2	2	no	—
757	#121	D₄×C₂₉	1	1	yes	characteristic
758	#121	C₂³×C₂₉	1	2	yes	—
759	#121	C₂³×C₂₉	1	2	yes	—
760	#121	C₂³×C₂₉	1	2	yes	—
761	#121	C₂³×C₂₉	1	2	yes	—
762	#120	—	2	2	no	—
763	#120	—	2	2	no	—
764	#120	—	2	2	no	—
765	#120	—	2	2	no	—
766	#120	—	2	2	no	—
767	#120	—	2	2	no	—
768	#120	—	2	2	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
771	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
772	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
773	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	—	2	2	no	—
777	C₄×D₄	—	2	2	no	—
778	C₄×D₄	—	2	1	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
784	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
785	C₄×D₄	C₂³×C₂₉	1	2	yes	—
786	C₄×D₄	C₂³×C₂₉	1	2	yes	—
787	C₄×D₄	C₂³×C₂₉	1	2	yes	—
788	C₄×D₄	C₂³×C₂₉	1	2	yes	—
789	C₄×D₄	C₂³×C₂₉	1	2	yes	—
790	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
791	C₄×D₄	C₂³×C₂₉	1	2	yes	—
792	#117	—	2	2	no	—
793	#117	—	2	1	no	—
794	#117	C₂³×C₂₉	1	1	yes	characteristic
795	#117	C₂³×C₂₉	1	2	yes	—
796	#117	C₂³×C₂₉	1	2	yes	—
797	C₂×C₂²⋊C₄	—	2	1	no	—
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	2	no	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₂²⋊C₄	—	2	2	no	—
802	C₂×C₂²⋊C₄	—	2	2	no	—
803	C₂×C₄²	—	2	1	no	—
804	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
805	#107	C₂³×C₂₉	1	2	yes	—
806	#106	C₂³×C₂₉	1	2	yes	—
807	#106	C₂³×C₂₉	1	2	yes	—
808	#106	C₂³×C₂₉	1	2	yes	—
809	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
810	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
811	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
812	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
813	C₄⋊C₈	C₂³×C₂₉	1	2	yes	—
814	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
815	#103	C₂³×C₂₉	1	2	yes	—
816	#103	C₂³×C₂₉	1	2	yes	—
817	#103	C₂³×C₂₉	1	2	yes	—
818	#103	C₂³×C₂₉	1	2	yes	—
819	#103	C₂³×C₂₉	1	2	yes	—
820	#102	C₂³×C₂₉	1	2	yes	—
821	#102	C₂³×C₂₉	1	2	yes	—
822	#102	C₂³×C₂₉	1	2	yes	—
823	#102	C₂³×C₂₉	1	2	yes	—
824	#102	C₂³×C₂₉	1	2	yes	—
825	#102	C₂³×C₂₉	1	2	yes	—
826	#102	C₂³×C₂₉	1	2	yes	—
827	#102	C₂³×C₂₉	1	2	yes	—
828	#102	C₂³×C₂₉	1	2	yes	—
829	#102	C₂³×C₂₉	1	2	yes	—
830	#102	C₂³×C₂₉	1	2	yes	—
831	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
832	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
833	C₂²⋊C₈	C₂³×C₂₉	1	2	yes	—
834	#97	C₂³×C₂₉	1	2	yes	—
835	#97	C₂³×C₂₉	1	2	yes	—
836	C₄×C₈	C₂³×C₂₉	1	2	yes	—
837	C₂₉	#62088	1	1	yes	characteristic, direct product factor, Sylow
838	C₂⁴	—	2	2	no	—
839	C₂⁴	—	2	1	no	—
840	C₂⁴	—	2	2	no	—
841	#41	—	2	2	no	—
842	#41	—	4	1	no	—
843	#41	—	4	2	no	—
844	#41	—	4	2	no	—
845	#41	—	8	2	no	—
846	#41	—	8	2	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	2	1	no	—
849	C₂×Q₈	—	2	2	no	—
850	C₂×Q₈	—	2	1	no	—
851	C₂×Q₈	—	4	1	no	—
852	C₂×Q₈	—	4	1	no	—
853	C₂×Q₈	—	8	2	no	—
854	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
855	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
856	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
857	C₂×D₄	—	2	4	no	—
858	C₂×D₄	—	2	1	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	1	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	4	2	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	1	no	—
876	C₂×D₄	—	4	2	no	—
877	C₂×D₄	—	4	1	no	—
878	C₂×D₄	—	8	2	no	—
879	C₂×D₄	—	8	4	no	—
880	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
881	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
882	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
883	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
884	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
885	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
897	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
900	Q₁₆	—	4	2	no	—
901	SD₁₆	—	2	4	no	—
902	SD₁₆	—	4	2	no	—
903	SD₁₆	—	4	2	no	—
904	SD₁₆	—	4	2	no	—
905	SD₁₆	—	4	2	no	—
906	D₈	—	2	4	no	—
907	D₈	—	2	4	no	—
908	D₈	—	4	2	no	—
909	D₈	—	4	2	no	—
910	D₈	—	4	2	no	—
911	D₈	—	4	2	no	—
912	M₁₆	—	4	1	no	—
913	M₁₆	—	4	2	no	—
914	M₁₆	—	4	1	no	—
915	C₂×C₈	—	4	2	no	—
916	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
917	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
918	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
919	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
929	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
930	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
931	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
932	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
933	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
934	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
935	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
936	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
937	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	1	no	—
942	C₂²⋊C₄	—	2	1	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
962	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
963	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
964	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
965	C₂²⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	1	no	—
968	C₄²	—	2	1	no	—
969	C₄²	—	2	2	no	—
970	C₄²	—	2	2	no	—
971	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
972	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
973	C₄²	C₂⁴×C₂₉	1	2	yes	—
974	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
975	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
976	C₂³	—	2	1	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	4	4	no	—
981	C₂³	—	4	2	no	—
982	C₂³	—	8	1	no	—
983	C₂³	—	8	2	no	—
984	C₂³	—	8	2	no	—
985	C₂³	—	8	2	no	—
986	C₂³	—	8	1	no	—
987	C₂³	—	8	2	no	—
988	C₂³	—	8	2	no	—
989	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
990	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
991	Q₈	—	2	2	no	—
992	Q₈	—	2	1	no	—
993	Q₈	—	2	1	no	—
994	Q₈	—	2	2	no	—
995	Q₈	—	4	1	no	—
996	Q₈	—	4	2	no	—
997	Q₈	—	8	1	no	—
998	Q₈	—	8	2	no	—
999	Q₈	—	8	1	no	—
1000	D₄	—	2	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	2	no	—
1003	D₄	—	2	1	no	—
1004	D₄	—	2	2	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	2	no	—
1007	D₄	—	4	1	no	—
1008	D₄	—	4	2	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	4	2	no	—
1011	D₄	—	4	2	no	—
1012	D₄	—	4	4	no	—
1013	D₄	—	8	1	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	1	no	—
1017	D₄	—	8	1	no	—
1018	D₄	—	8	1	no	—
1019	D₄	—	8	2	no	—
1020	D₄	—	8	2	no	—
1021	D₄	—	8	2	no	—
1022	D₄	—	8	2	no	—
1023	D₄	—	8	2	no	—
1024	D₄	C₂₉×H(5,𝔽₂)	1	2	yes	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	4	1	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	2	no	—
1038	C₂×C₄	—	4	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	1	no	—
1045	C₂×C₄	—	8	2	no	—
1046	C₂×C₄	—	8	1	no	—
1047	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1051	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1052	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1054	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
1055	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1056	C₈	—	2	2	no	—
1057	C₈	—	2	2	no	—
1058	C₈	—	2	2	no	—
1059	C₈	—	2	2	no	—
1060	C₂²	—	2	1	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	2	no	—
1078	C₂²	—	16	4	no	—
1079	C₂²	—	16	2	no	—
1080	C₂²	—	16	4	no	—
1081	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1082	C₄	—	2	1	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	2	1	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	1	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	2	no	—
1096	C₄	C₂×C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
1097	C₄	C₂₉×#585	1	1	yes	characteristic
1098	C₂	—	4	2	no	—
1099	C₂	—	4	1	no	—
1100	C₂	—	4	2	no	—
1101	C₂	—	8	2	no	—
1102	C₂	—	8	2	no	—
1103	C₂	—	8	2	no	—
1104	C₂	C₂₉×#3488	1	1	yes	characteristic
1105	C₂	C₂₉×#3585	1	1	yes	characteristic
1106	C₂	C₂₉×#3585	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×#3514	C₂	semidirect
3. C₂₉×#3403	C₂	semidirect
4. C₂₉×#3373	C₂	semidirect
5. C₂₉×#3325	C₂	semidirect
6. C₂₉×#3321	C₂	semidirect
7. C₂₉×#3311	C₂	semidirect
8. C₂₉×#3275	C₂	semidirect
9. C₂₉×#3264	C₂	semidirect
10. C₂₉×#3264	C₂	semidirect
11. C₂₉×#3263	C₂	semidirect
12. C₂₉×#3253	C₂	semidirect
13. C₂₉×#3224	C₂	semidirect
14. C₂₉×#3213	C₂	semidirect
15. C₂₉×#3118	C₂	semidirect
16. C₂₉×#3115	C₂	semidirect
17. C₂₉×#3041	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. C₂²×D₈×C₂₉	C₂²	semidirect
26. C₂₉×#559	C₂²	semidirect
27. C₂₉×#559	C₂²	semidirect
28. C₂₉×#556	C₂²	semidirect
29. C₂₉×#555	C₂²	semidirect
31. D₄×Q₈×C₂₉	C₂²	semidirect
33. C₂₉×#548	C₂²	semidirect
37. C₂₉×#546	C₂²	semidirect
38. D₄²×C₂₉	C₂²	semidirect
39. D₄²×C₂₉	C₂²	semidirect
40. C₂₉×#542	C₂²	semidirect
41. C₂₉×#542	C₂²	semidirect
45. C₂₉×#535	C₂²	semidirect
47. C₂₉×#532	C₂²	semidirect
48. C₂₉×#532	C₂²	semidirect
52. C₂×C₂₉×#124	C₂²	semidirect
53. C₂₉×#518	C₂²	semidirect
54. C₄×#41×C₂₉	C₂²	semidirect
55. C₂₉×#496	C₂²	semidirect
56. C₂₉×#496	C₂²	semidirect
57. C₂₉×#495	C₂²	semidirect
58. C₂₉×#489	C₂²	semidirect
59. C₂₉×#489	C₂²	semidirect
60. C₂₉×#486	C₂²	semidirect
61. C₂₉×#485	C₂²	semidirect
62. C₂₉×#482	C₂²	semidirect
63. C₂₉×#482	C₂²	semidirect
64. C₂₉×#476	C₂²	semidirect
65. C₂₉×#476	C₂²	semidirect
66. C₂₉×#476	C₂²	semidirect
67. C₂₉×#475	C₂²	semidirect
68. C₂₉×#475	C₂²	semidirect
69. C₂₉×#474	C₂²	semidirect
70. C₂₉×#470	C₂²	semidirect
72. C₂₉×#469	C₂²	semidirect
73. C₂₉×#469	C₂²	semidirect
74. C₂₉×#465	C₂²	semidirect
75. C₂₉×#465	C₂²	semidirect
76. C₂₉×#464	C₂²	semidirect
77. C₂₉×#464	C₂²	semidirect
78. C₂₉×#464	C₂²	semidirect
79. C₂₉×#463	C₂²	semidirect
80. C₂₉×#463	C₂²	semidirect
81. C₂₉×#463	C₂²	semidirect
82. C₂₉×#463	C₂²	semidirect
83. C₂₉×#463	C₂²	semidirect
84. C₂₉×#463	C₂²	semidirect
85. C₂₉×#463	C₂²	semidirect
86. C₂₉×#460	C₂²	semidirect
88. C₂₉×#459	C₂²	semidirect
89. C₂₉×#459	C₂²	semidirect
90. C₂₉×#459	C₂²	semidirect
91. C₂₉×#459	C₂²	semidirect
92. C₂₉×#452	C₂²	semidirect
93. C₂₉×#450	C₂²	semidirect
94. C₂₉×#450	C₂²	semidirect
95. C₂₉×#449	C₂²	semidirect
96. C₂₉×#449	C₂²	semidirect
97. C₂₉×#448	C₂²	semidirect
99. C₂₉×#447	C₂²	semidirect
100. C₂₉×#447	C₂²	semidirect
101. C₂₉×#446	C₂²	semidirect
102. C₂₉×#442	C₂²	semidirect
103. C₂₉×#442	C₂²	semidirect
104. C₂₉×#440	C₂²	semidirect
105. C₂₉×#440	C₂²	semidirect
106. C₄×SD₁₆×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
116. C₂₉×#418	C₂²	semidirect
117. C₂₉×#418	C₂²	semidirect
118. C₂₉×#416	C₂²	semidirect
422. #62088	C₂₉	direct (N × H)
507. #3558	C₂×C₂₉	semidirect
508. #3514	C₂×C₂₉	semidirect
509. #3403	C₂×C₂₉	semidirect
510. #3373	C₂×C₂₉	semidirect
511. #3325	C₂×C₂₉	semidirect
512. #3321	C₂×C₂₉	semidirect
513. #3311	C₂×C₂₉	semidirect
514. #3275	C₂×C₂₉	semidirect
515. #3264	C₂×C₂₉	semidirect
516. #3264	C₂×C₂₉	semidirect
517. #3263	C₂×C₂₉	semidirect
518. #3253	C₂×C₂₉	semidirect
519. #3224	C₂×C₂₉	semidirect
520. #3213	C₂×C₂₉	semidirect
521. #3118	C₂×C₂₉	semidirect
522. #3115	C₂×C₂₉	semidirect
523. #3041	C₂×C₂₉	semidirect
524. #3040	C₂×C₂₉	semidirect
525. #2995	C₂×C₂₉	semidirect
564. C₂×#137	C₂²×C₂₉	semidirect
566. C₂×AGL(1,ℤ/8)	C₂²×C₂₉	semidirect
567. C₂²×D₈	C₂²×C₂₉	semidirect
570. #559	C₂²×C₂₉	semidirect
571. #559	C₂²×C₂₉	semidirect
572. #556	C₂²×C₂₉	semidirect
573. #555	C₂²×C₂₉	semidirect
575. D₄×Q₈	C₂²×C₂₉	semidirect
577. #548	C₂²×C₂₉	semidirect
581. #546	C₂²×C₂₉	semidirect
582. D₄²	C₂²×C₂₉	semidirect
583. D₄²	C₂²×C₂₉	semidirect
584. #542	C₂²×C₂₉	semidirect
585. #542	C₂²×C₂₉	semidirect
589. #535	C₂²×C₂₉	semidirect
591. #532	C₂²×C₂₉	semidirect
592. #532	C₂²×C₂₉	semidirect
596. C₂×#124	C₂²×C₂₉	semidirect
597. #518	C₂²×C₂₉	semidirect
598. C₄×#41	C₂²×C₂₉	semidirect
599. #496	C₂²×C₂₉	semidirect
600. #496	C₂²×C₂₉	semidirect
601. #495	C₂²×C₂₉	semidirect
602. #489	C₂²×C₂₉	semidirect
603. #489	C₂²×C₂₉	semidirect
604. #486	C₂²×C₂₉	semidirect
605. #485	C₂²×C₂₉	semidirect
606. #482	C₂²×C₂₉	semidirect
607. #482	C₂²×C₂₉	semidirect
608. #476	C₂²×C₂₉	semidirect
609. #476	C₂²×C₂₉	semidirect
610. #476	C₂²×C₂₉	semidirect
611. #475	C₂²×C₂₉	semidirect
612. #475	C₂²×C₂₉	semidirect
613. #474	C₂²×C₂₉	semidirect
614. #470	C₂²×C₂₉	semidirect
616. #469	C₂²×C₂₉	semidirect
617. #469	C₂²×C₂₉	semidirect
618. #465	C₂²×C₂₉	semidirect
619. #465	C₂²×C₂₉	semidirect
620. #464	C₂²×C₂₉	semidirect
621. #464	C₂²×C₂₉	semidirect
622. #464	C₂²×C₂₉	semidirect
623. #463	C₂²×C₂₉	semidirect
624. #463	C₂²×C₂₉	semidirect
625. #463	C₂²×C₂₉	semidirect
626. #463	C₂²×C₂₉	semidirect
627. #463	C₂²×C₂₉	semidirect
628. #463	C₂²×C₂₉	semidirect
629. #463	C₂²×C₂₉	semidirect
630. #460	C₂²×C₂₉	semidirect
632. #459	C₂²×C₂₉	semidirect
633. #459	C₂²×C₂₉	semidirect
634. #459	C₂²×C₂₉	semidirect
635. #459	C₂²×C₂₉	semidirect
636. #452	C₂²×C₂₉	semidirect
637. #450	C₂²×C₂₉	semidirect
638. #450	C₂²×C₂₉	semidirect
639. #449	C₂²×C₂₉	semidirect
640. #449	C₂²×C₂₉	semidirect
641. #448	C₂²×C₂₉	semidirect
643. #447	C₂²×C₂₉	semidirect
644. #447	C₂²×C₂₉	semidirect
645. #446	C₂²×C₂₉	semidirect
646. #442	C₂²×C₂₉	semidirect
647. #442	C₂²×C₂₉	semidirect
648. #440	C₂²×C₂₉	semidirect
649. #440	C₂²×C₂₉	semidirect
650. C₄×SD₁₆	C₂²×C₂₉	semidirect
651. C₄×D₈	C₂²×C₂₉	semidirect
652. #436	C₂²×C₂₉	semidirect
653. #435	C₂²×C₂₉	semidirect
654. #435	C₂²×C₂₉	semidirect
655. #433	C₂²×C₂₉	semidirect
656. #432	C₂²×C₂₉	semidirect
657. #424	C₂²×C₂₉	semidirect
658. #423	C₂²×C₂₉	semidirect
659. #419	C₂²×C₂₉	semidirect
660. #418	C₂²×C₂₉	semidirect
661. #418	C₂²×C₂₉	semidirect
662. #416	C₂²×C₂₉	semidirect
837. C₂₉	#62088	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×#3514	2
C₂₉×#3403	2
C₂₉×#3373	2
C₂₉×#3325	2
C₂₉×#3321	2
C₂₉×#3311	2
C₂₉×#3275	2
C₂₉×#3264	2
C₂₉×#3263	2
C₂₉×#3253	2
C₂₉×#3224	2
C₂₉×#3213	2
C₂₉×#3118	2
C₂₉×#3115	2
C₂₉×#3041	2
C₂₉×#3040	2
C₂₉×#2995	2
#62088	29

Subgroups — C29×#62088 #20356988

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62088 #20356988