Subgroups — C₂₉×#62155 #20357055

Order 7424.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#3347	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#3336	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#3334	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#3319	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#3296	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#3294	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₉×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₉×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₉×#3241	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₉×#3238	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₉×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₉×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₉×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₉×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₉×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₉×#474	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₉×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₉×#563	—	2	1	no	—
33	C₂₉×#563	—	2	1	no	—
34	C₂₉×#559	C₂²	1	1	yes	characteristic
35	Q₈²×C₂₉	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#555	C₂²	1	1	yes	characteristic, complemented
37	C₂₉×#554	C₂²	1	1	yes	characteristic
38	C₂₉×#554	C₂²	1	1	yes	characteristic, complemented
39	C₂₉×#554	C₂²	1	1	yes	characteristic, complemented
40	C₂₉×#553	—	2	1	no	—
41	C₂₉×#553	C₂²	1	1	yes	characteristic
42	C₂₉×#552	—	2	1	no	—
43	C₂₉×#552	C₂²	1	1	yes	characteristic
44	C₂₉×#552	C₂²	1	1	yes	characteristic
45	C₂₉×#552	C₂²	1	1	yes	characteristic, complemented
46	C₂₉×#551	—	2	1	no	—
47	C₂₉×#551	—	2	1	no	—
48	C₂₉×#547	—	2	1	no	—
49	C₂₉×#547	C₂²	1	1	yes	characteristic
50	C₂₉×#547	C₂²	1	1	yes	characteristic
51	C₂₉×#547	C₂²	1	1	yes	characteristic, complemented
52	C₂₉×#546	—	2	1	no	—
53	C₂₉×#546	C₂²	1	1	yes	characteristic
54	C₂₉×#546	C₂²	1	1	yes	characteristic
55	D₄²×C₂₉	C₂²	1	1	yes	characteristic
56	C₂₉×#544	—	2	1	no	—
57	C₂₉×#544	C₂²	1	1	yes	characteristic, complemented
58	C₂₉×#544	C₂²	1	1	yes	characteristic, complemented
59	C₂₉×#542	—	2	1	no	—
60	C₂₉×#542	C₂²	1	1	yes	characteristic
61	C₂₉×#542	C₂²	1	1	yes	characteristic, complemented
62	C₂₉×#542	C₂²	1	1	yes	characteristic, complemented
63	C₂₉×#540	C₂²	1	1	yes	characteristic
64	C₂₉×#539	—	2	1	no	—
65	C₂₉×#538	—	2	1	no	—
66	C₂₉×#536	—	2	1	no	—
67	C₂₉×#536	—	2	1	no	—
68	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
69	C₂₉×#529	C₂²	1	1	yes	characteristic
70	C₂₉×#529	C₂²	1	1	yes	characteristic
71	C₂₉×#529	C₂²	1	1	yes	characteristic, complemented
72	C₂₉×#525	—	2	1	no	—
73	C₂×C₂₉×#123	—	2	1	no	—
74	C₂₉×#520	C₂²	1	1	yes	characteristic
75	C₂₉×#518	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
77	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
78	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
79	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
80	C₂₉×#501	C₂²	1	1	yes	characteristic, complemented
81	C₂₉×#500	C₂²	1	1	yes	characteristic, complemented
82	C₂₉×#499	C₂²	1	1	yes	characteristic, complemented
83	C₂₉×#490	C₂²	1	1	yes	characteristic
84	C₂₉×#489	C₂²	1	1	yes	characteristic, complemented
85	C₂₉×#489	C₂²	1	1	yes	characteristic, complemented
86	C₂₉×#489	C₂²	1	1	yes	characteristic, complemented
87	C₂₉×#488	C₂²	1	1	yes	characteristic, complemented
88	C₂₉×#486	C₂²	1	1	yes	characteristic
89	C₂₉×#485	C₂²	1	1	yes	characteristic, complemented
90	C₂₉×#485	C₂²	1	1	yes	characteristic, complemented
91	C₂₉×#484	C₂²	1	1	yes	characteristic, complemented
92	C₂₉×#484	C₂²	1	1	yes	characteristic, complemented
93	C₂₉×#483	C₂²	1	1	yes	characteristic, complemented
94	C₂₉×#483	C₂²	1	1	yes	characteristic, complemented
95	C₂₉×#483	C₂²	1	1	yes	characteristic, complemented
96	C₂₉×#482	C₂²	1	1	yes	characteristic
97	C₂₉×#482	C₂²	1	1	yes	characteristic, complemented
98	C₂₉×#482	C₂²	1	1	yes	characteristic, complemented
99	C₂₉×#482	C₂²	1	1	yes	characteristic, complemented
100	C₂₉×#481	C₂²	1	1	yes	characteristic, complemented
101	C₂₉×#480	C₂²	1	1	yes	characteristic
102	C₂₉×#480	C₂²	1	1	yes	characteristic
103	C₂₉×#480	C₂²	1	1	yes	characteristic
104	C₂₉×#480	C₂²	1	1	yes	characteristic, complemented
105	C₂₉×#480	C₂²	1	1	yes	characteristic, complemented
106	C₂₉×#480	C₂²	1	1	yes	characteristic, complemented
107	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
108	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
109	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
110	C₂₉×#479	C₂²	1	1	yes	characteristic, complemented
111	C₂₉×#478	C₂²	1	1	yes	characteristic
112	C₂₉×#478	C₂²	1	1	yes	characteristic
113	C₂₉×#478	C₂²	1	1	yes	characteristic
114	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
115	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
116	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
117	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
118	C₂₉×#478	C₂²	1	1	yes	characteristic, complemented
119	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
120	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
121	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
122	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
123	C₂₉×#476	C₂²	1	1	yes	characteristic
124	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
125	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
126	C₂₉×#474	C₂²	1	1	yes	characteristic
127	C₂₉×#474	C₂²	1	1	yes	characteristic
128	C₂₉×#474	C₂²	1	1	yes	characteristic
129	C₂₉×#474	C₂²	1	1	yes	characteristic
130	C₂₉×#474	C₂²	1	1	yes	characteristic
131	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
132	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
133	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
134	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
135	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
136	C₂₉×#474	C₂²	1	1	yes	characteristic, complemented
137	C₂₉×#469	C₂²	1	1	yes	characteristic, complemented
138	C₂₉×#468	C₂²	1	1	yes	characteristic
139	C₂₉×#468	C₂²	1	1	yes	characteristic, complemented
140	C₂₉×#468	C₂²	1	1	yes	characteristic, complemented
141	C₂₉×#467	C₂²	1	1	yes	characteristic, complemented
142	C₂₉×#467	C₂²	1	1	yes	characteristic, complemented
143	C₂₉×#466	C₂²	1	1	yes	characteristic
144	C₂₉×#466	C₂²	1	1	yes	characteristic
145	C₂₉×#466	C₂²	1	1	yes	characteristic, complemented
146	C₂₉×#465	C₂²	1	1	yes	characteristic
147	C₂₉×#465	C₂²	1	1	yes	characteristic, complemented
148	C₂₉×#465	C₂²	1	1	yes	characteristic, complemented
149	C₂₉×#464	C₂²	1	1	yes	characteristic, complemented
150	C₂₉×#464	C₂²	1	1	yes	characteristic, complemented
151	C₂₉×#464	C₂²	1	1	yes	characteristic, complemented
152	C₂₉×#463	C₂²	1	1	yes	characteristic
153	C₂₉×#463	C₂²	1	1	yes	characteristic, complemented
154	C₂₉×#463	C₂²	1	1	yes	characteristic, complemented
155	C₂₉×#463	C₂²	1	1	yes	characteristic, complemented
156	C₂₉×#463	C₂²	1	1	yes	characteristic, complemented
157	C₂₉×#460	C₂²	1	1	yes	characteristic
158	C₂₉×#459	C₂²	1	1	yes	characteristic
159	C₂₉×#452	C₂²	1	1	yes	characteristic
160	C₂₉×#450	C₂²	1	1	yes	characteristic
161	C₂₉×#450	C₂²	1	1	yes	characteristic
162	C₂₉×#449	C₂²	1	1	yes	characteristic
163	C₂₉×#447	C₂²	1	1	yes	characteristic
164	C₂₉×#447	C₂²	1	1	yes	characteristic
165	C₂₉×#446	C₂²	1	1	yes	characteristic, complemented
166	C₂₉×#446	C₂²	1	1	yes	characteristic, complemented
167	C₂₉×#442	C₂²	1	1	yes	characteristic
168	C₂₉×#442	C₂²	1	1	yes	characteristic
169	C₂₉×#442	C₂²	1	1	yes	characteristic, complemented
170	C₂₉×#440	C₂²	1	1	yes	characteristic
171	C₂₉×#440	C₂²	1	1	yes	characteristic
172	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
173	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
174	C₂₉×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×Q₁₆×C₂₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
177	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₂₉	C₂²	1	1	yes	characteristic, complemented
179	C₂₉×#435	C₂²	1	1	yes	characteristic
180	C₂₉×#435	C₂²	1	1	yes	characteristic, complemented
181	C₂₉×#435	C₂²	1	1	yes	characteristic, complemented
182	C₂₉×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
185	C₂₉×#433	C₂²	1	1	yes	characteristic, complemented
186	C₂₉×#433	C₂²	1	1	yes	characteristic, complemented
187	C₂₉×#432	C₂²	1	1	yes	characteristic, complemented
188	C₂₉×#428	C₂²	1	1	yes	characteristic, complemented
189	C₂₉×#428	C₂²	1	1	yes	characteristic, complemented
190	C₂₉×#427	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic, complemented
192	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic, complemented
194	C₂₉×#424	C₂²	1	1	yes	characteristic, complemented
195	C₂₉×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₂₉×#418	C₂²	1	1	yes	characteristic
198	C₂₉×#417	C₂²	1	1	yes	characteristic
199	C₂₉×#416	C₂²	1	1	yes	characteristic
200	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
201	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
202	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
203	C₂×#41×C₂₉	—	2	1	no	—
204	C₂×#41×C₂₉	—	2	1	no	—
205	C₂×#41×C₂₉	—	2	1	no	—
206	C₂×#41×C₂₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₂₉	—	2	1	no	—
208	C₂²×D₄×C₂₉	—	2	1	no	—
209	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₂₉	—	2	1	no	—
212	C₂×Q₁₆×C₂₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₂₉	C₂³	1	1	yes	characteristic
217	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
218	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
219	C₂×D₈×C₂₉	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
221	C₂×M₁₆×C₂₉	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
226	C₂₉×C₄⋊Q₈	—	2	1	no	—
227	C₂₉×C₄⋊Q₈	—	2	1	no	—
228	C₂₉×C₄⋊Q₈	—	2	1	no	—
229	C₂₉×C₄⋊Q₈	—	2	1	no	—
230	C₂₉×C₄⋊Q₈	—	2	1	no	—
231	C₂₉×C₄⋊Q₈	—	2	1	no	—
232	C₂₉×C₄⋊Q₈	—	2	1	no	—
233	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₂₉×#127	C₂³	1	1	yes	characteristic
241	C₂₉×#126	—	2	1	no	—
242	C₂₉×#126	—	2	1	no	—
243	C₂₉×#126	—	2	1	no	—
244	C₂₉×#126	—	2	1	no	—
245	C₂₉×#126	—	2	1	no	—
246	C₂₉×#126	—	2	1	no	—
247	C₂₉×#126	—	2	1	no	—
248	C₂₉×#126	—	2	1	no	—
249	C₂₉×#126	—	2	1	no	—
250	C₂₉×#126	D₄	1	1	yes	characteristic
251	C₂₉×#126	D₄	1	1	yes	characteristic
252	C₂₉×#125	—	2	1	no	—
253	C₂₉×#125	—	2	1	no	—
254	C₂₉×#125	—	2	1	no	—
255	C₂₉×#125	—	2	1	no	—
256	C₂₉×#125	—	2	1	no	—
257	C₂₉×#125	—	2	1	no	—
258	C₂₉×#125	D₄	1	1	yes	characteristic
259	C₂₉×#125	C₂³	1	1	yes	characteristic
260	C₂₉×#125	C₂³	1	1	yes	characteristic
261	C₂₉×#125	C₂³	1	1	yes	characteristic
262	C₂₉×#125	C₂³	1	1	yes	characteristic
263	C₂₉×#125	C₂³	1	1	yes	characteristic
264	C₂₉×#124	—	2	1	no	—
265	C₂₉×#124	—	2	1	no	—
266	C₂₉×#124	—	2	1	no	—
267	C₂₉×#124	—	2	1	no	—
268	C₂₉×#124	—	2	1	no	—
269	C₂₉×#124	—	2	1	no	—
270	C₂₉×#124	D₄	1	1	yes	characteristic
271	C₂₉×#124	C₂³	1	1	yes	characteristic
272	C₂₉×#124	C₂³	1	1	yes	characteristic
273	C₂₉×#124	C₂³	1	1	yes	characteristic
274	C₂₉×#123	—	2	1	no	—
275	C₂₉×#123	—	2	1	no	—
276	C₂₉×#123	—	2	1	no	—
277	C₂₉×#123	—	2	1	no	—
278	C₂₉×#123	—	2	1	no	—
279	C₂₉×#123	—	2	1	no	—
280	C₂₉×#123	—	2	1	no	—
281	C₂₉×#123	—	2	1	no	—
282	C₂₉×#123	—	2	1	no	—
283	C₂₉×#123	—	2	1	no	—
284	C₂₉×#123	—	2	1	no	—
285	C₂₉×#123	—	2	1	no	—
286	C₂₉×#123	—	2	1	no	—
287	C₂₉×#123	—	2	1	no	—
288	C₂₉×#123	—	2	1	no	—
289	C₂₉×#123	—	2	1	no	—
290	C₂₉×#123	—	2	1	no	—
291	C₂₉×#123	—	2	1	no	—
292	C₂₉×#123	—	2	1	no	—
293	C₂₉×#123	—	2	1	no	—
294	C₂₉×#123	—	2	1	no	—
295	C₂₉×#123	D₄	1	1	yes	characteristic
296	C₂₉×#123	D₄	1	1	yes	characteristic
297	C₂₉×C₂²⋊Q₈	—	2	1	no	—
298	C₂₉×C₂²⋊Q₈	—	2	1	no	—
299	C₂₉×C₂²⋊Q₈	—	2	1	no	—
300	C₂₉×C₂²⋊Q₈	—	2	1	no	—
301	C₂₉×C₂²⋊Q₈	—	2	1	no	—
302	C₂₉×C₂²⋊Q₈	—	2	1	no	—
303	C₂₉×C₂²⋊Q₈	—	2	1	no	—
304	C₂₉×C₂²⋊Q₈	—	2	1	no	—
305	C₂₉×C₂²⋊Q₈	—	2	1	no	—
306	C₂₉×C₂²⋊Q₈	—	2	1	no	—
307	C₂₉×C₂²⋊Q₈	—	2	1	no	—
308	C₂₉×C₂²⋊Q₈	—	2	1	no	—
309	C₂₉×C₂²⋊Q₈	—	2	1	no	—
310	C₂₉×C₂²⋊Q₈	—	2	1	no	—
311	C₂₉×C₂²⋊Q₈	—	2	1	no	—
312	C₂₉×C₂²⋊Q₈	—	2	1	no	—
313	C₂₉×C₂²⋊Q₈	—	2	1	no	—
314	C₂₉×C₂²⋊Q₈	—	2	1	no	—
315	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
316	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₂₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₂₉×#121	—	2	1	no	—
322	C₂₉×#121	—	2	1	no	—
323	C₂₉×#121	—	2	1	no	—
324	C₂₉×#121	—	2	1	no	—
325	C₂₉×#121	—	2	1	no	—
326	C₂₉×#121	—	2	1	no	—
327	C₂₉×#121	—	2	1	no	—
328	C₂₉×#121	D₄	1	1	yes	characteristic
329	C₂₉×#121	C₂³	1	1	yes	characteristic
330	C₂₉×#121	C₂³	1	1	yes	characteristic
331	C₂₉×#121	C₂³	1	1	yes	characteristic
332	C₂₉×#121	C₂³	1	1	yes	characteristic
333	C₂₉×#121	C₂³	1	1	yes	characteristic
334	C₂₉×#121	C₂³	1	1	yes	characteristic
335	C₂₉×#121	C₂³	1	1	yes	characteristic
336	C₂₉×#120	—	2	1	no	—
337	C₂₉×#120	—	2	1	no	—
338	C₂₉×#120	—	2	1	no	—
339	C₂₉×#120	—	2	1	no	—
340	C₄×Q₈×C₂₉	—	2	1	no	—
341	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₂₉	—	2	1	no	—
348	C₄×D₄×C₂₉	—	2	1	no	—
349	C₄×D₄×C₂₉	—	2	1	no	—
350	C₄×D₄×C₂₉	—	2	1	no	—
351	C₄×D₄×C₂₉	—	2	1	no	—
352	C₄×D₄×C₂₉	—	2	1	no	—
353	C₄×D₄×C₂₉	—	2	1	no	—
354	C₄×D₄×C₂₉	—	2	1	no	—
355	C₄×D₄×C₂₉	—	2	1	no	—
356	C₄×D₄×C₂₉	—	2	1	no	—
357	C₄×D₄×C₂₉	—	2	1	no	—
358	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
372	C₂₉×#117	—	2	1	no	—
373	C₂₉×#117	—	2	1	no	—
374	C₂₉×#117	—	2	1	no	—
375	C₂₉×#117	—	2	1	no	—
376	C₂₉×#117	—	2	1	no	—
377	C₂₉×#117	—	2	1	no	—
378	C₂₉×#117	—	2	1	no	—
379	C₂₉×#117	C₂³	1	1	yes	characteristic
380	C₂₉×#117	C₂³	1	1	yes	characteristic
381	C₂₉×#117	C₂³	1	1	yes	characteristic
382	C₂₉×#117	C₂³	1	1	yes	characteristic
383	C₂₉×#117	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
385	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
386	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
387	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
388	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
394	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
395	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
396	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
397	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
399	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
400	C₂₉×#107	C₂³	1	1	yes	characteristic
401	C₂₉×#107	C₂³	1	1	yes	characteristic
402	C₂₉×#107	C₂³	1	1	yes	characteristic
403	C₂₉×#107	C₂³	1	1	yes	characteristic
404	C₂₉×#107	C₂³	1	1	yes	characteristic
405	C₂₉×#107	C₂³	1	1	yes	characteristic
406	C₂₉×#107	C₂³	1	1	yes	characteristic
407	C₂₉×#107	C₂³	1	1	yes	characteristic
408	C₂₉×#107	C₂³	1	1	yes	characteristic
409	C₂₉×#107	C₂³	1	1	yes	characteristic
410	C₂₉×#107	C₂³	1	1	yes	characteristic
411	C₂₉×#107	C₂³	1	1	yes	characteristic
412	C₂₉×#107	C₂³	1	1	yes	characteristic
413	C₂₉×#107	C₂³	1	1	yes	characteristic
414	C₂₉×#107	C₂³	1	1	yes	characteristic
415	C₂₉×#107	C₂³	1	1	yes	characteristic
416	C₂₉×#106	C₂³	1	1	yes	characteristic
417	C₂₉×#106	C₂³	1	1	yes	characteristic
418	C₂₉×#106	C₂³	1	1	yes	characteristic
419	C₂₉×#106	C₂³	1	1	yes	characteristic
420	C₂₉×#106	C₂³	1	1	yes	characteristic
421	C₂₉×#106	C₂³	1	1	yes	characteristic
422	C₂₉×#106	C₂³	1	1	yes	characteristic
423	C₂₉×#106	C₂³	1	1	yes	characteristic
424	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₂₉×#103	C₂³	1	1	yes	characteristic
435	C₂₉×#103	C₂³	1	1	yes	characteristic
436	C₂₉×#103	C₂³	1	1	yes	characteristic
437	C₂₉×#103	C₂³	1	1	yes	characteristic
438	C₂₉×#103	C₂³	1	1	yes	characteristic
439	C₂₉×#103	C₂³	1	1	yes	characteristic
440	C₂₉×#103	C₂³	1	1	yes	characteristic
441	C₂₉×#103	C₂³	1	1	yes	characteristic
442	C₂₉×#103	C₂³	1	1	yes	characteristic
443	C₂₉×#103	C₂³	1	1	yes	characteristic
444	C₂₉×#102	C₂³	1	1	yes	characteristic
445	C₂₉×#102	C₂³	1	1	yes	characteristic
446	C₂₉×#102	C₂³	1	1	yes	characteristic
447	C₂₉×#102	C₂³	1	1	yes	characteristic
448	C₂₉×#102	C₂³	1	1	yes	characteristic
449	C₂₉×#102	C₂³	1	1	yes	characteristic
450	C₂₉×#102	C₂³	1	1	yes	characteristic
451	C₂₉×#102	C₂³	1	1	yes	characteristic
452	C₂₉×#102	C₂³	1	1	yes	characteristic
453	C₂₉×#102	C₂³	1	1	yes	characteristic
454	C₂₉×#102	C₂³	1	1	yes	characteristic
455	C₂₉×#102	C₂³	1	1	yes	characteristic
456	C₂₉×#102	C₂³	1	1	yes	characteristic
457	C₂₉×#102	C₂³	1	1	yes	characteristic
458	C₂₉×#102	C₂³	1	1	yes	characteristic
459	C₂₉×#102	C₂³	1	1	yes	characteristic
460	C₂₉×#102	C₂³	1	1	yes	characteristic
461	C₂₉×#102	C₂³	1	1	yes	characteristic
462	C₂₉×#102	C₂³	1	1	yes	characteristic
463	C₂₉×#102	C₂³	1	1	yes	characteristic
464	C₂₉×#102	C₂³	1	1	yes	characteristic
465	C₂₉×#102	C₂³	1	1	yes	characteristic
466	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₂₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₂₉×#97	C₂³	1	1	yes	characteristic
473	C₂₉×#97	C₂³	1	1	yes	characteristic
474	C₂₉×#97	C₂³	1	1	yes	characteristic
475	C₂₉×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
478	C₂⁴×C₂₉	—	2	1	no	—
479	C₂⁴×C₂₉	—	2	1	no	—
480	#41×C₂₉	—	2	2	no	—
481	#41×C₂₉	—	4	1	no	—
482	#41×C₂₉	—	8	2	no	—
483	#41×C₂₉	—	8	2	no	—
484	#41×C₂₉	—	8	2	no	—
485	C₂×Q₈×C₂₉	—	2	1	no	—
486	C₂×Q₈×C₂₉	—	2	1	no	—
487	C₂×Q₈×C₂₉	—	2	1	no	—
488	C₂×Q₈×C₂₉	—	2	1	no	—
489	C₂×Q₈×C₂₉	—	2	1	no	—
490	C₂×Q₈×C₂₉	—	2	1	no	—
491	C₂×Q₈×C₂₉	—	2	1	no	—
492	C₂×Q₈×C₂₉	—	8	2	no	—
493	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₂₉	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₂₉	—	2	2	no	—
497	C₂×D₄×C₂₉	—	2	2	no	—
498	C₂×D₄×C₂₉	—	2	1	no	—
499	C₂×D₄×C₂₉	—	2	1	no	—
500	C₂×D₄×C₂₉	—	2	1	no	—
501	C₂×D₄×C₂₉	—	2	1	no	—
502	C₂×D₄×C₂₉	—	2	1	no	—
503	C₂×D₄×C₂₉	—	2	1	no	—
504	C₂×D₄×C₂₉	—	2	1	no	—
505	C₂×D₄×C₂₉	—	2	1	no	—
506	C₂×D₄×C₂₉	—	2	1	no	—
507	C₂×D₄×C₂₉	—	2	1	no	—
508	C₂×D₄×C₂₉	—	2	1	no	—
509	C₂×D₄×C₂₉	—	2	1	no	—
510	C₂×D₄×C₂₉	—	4	1	no	—
511	C₂×D₄×C₂₉	—	4	1	no	—
512	C₂×D₄×C₂₉	—	8	2	no	—
513	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₂₉	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₂₉	—	2	1	no	—
521	C₂²×C₄×C₂₉	—	2	1	no	—
522	C₂²×C₄×C₂₉	—	2	1	no	—
523	C₂²×C₄×C₂₉	—	2	1	no	—
524	C₂²×C₄×C₂₉	—	2	1	no	—
525	C₂²×C₄×C₂₉	—	2	1	no	—
526	C₂²×C₄×C₂₉	—	2	1	no	—
527	C₂²×C₄×C₂₉	—	2	1	no	—
528	C₂²×C₄×C₂₉	—	2	1	no	—
529	C₂²×C₄×C₂₉	—	2	1	no	—
530	C₂²×C₄×C₂₉	—	2	1	no	—
531	C₂²×C₄×C₂₉	—	2	1	no	—
532	C₂²×C₄×C₂₉	—	2	1	no	—
533	C₂²×C₄×C₂₉	—	2	1	no	—
534	C₂²×C₄×C₂₉	—	2	1	no	—
535	C₂²×C₄×C₂₉	—	2	1	no	—
536	C₂²×C₄×C₂₉	—	2	1	no	—
537	C₂²×C₄×C₂₉	—	2	1	no	—
538	C₂²×C₄×C₂₉	—	8	2	no	—
539	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
544	Q₁₆×C₂₉	—	4	1	no	—
545	SD₁₆×C₂₉	—	2	2	no	—
546	SD₁₆×C₂₉	—	4	1	no	—
547	SD₁₆×C₂₉	—	4	1	no	—
548	SD₁₆×C₂₉	—	4	1	no	—
549	D₈×C₂₉	—	2	2	no	—
550	D₈×C₂₉	—	4	1	no	—
551	D₈×C₂₉	—	4	1	no	—
552	M₁₆×C₂₉	—	4	1	no	—
553	M₁₆×C₂₉	—	4	1	no	—
554	C₂×C₈×C₂₉	—	4	1	no	—
555	C₂×C₈×C₂₉	—	4	1	no	—
556	C₂×C₈×C₂₉	—	4	1	no	—
557	C₂×C₈×C₂₉	—	4	1	no	—
558	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₂₉	C₂⁴	1	1	yes	characteristic
566	C₄⋊C₄×C₂₉	—	2	1	no	—
567	C₄⋊C₄×C₂₉	—	2	1	no	—
568	C₄⋊C₄×C₂₉	—	2	1	no	—
569	C₄⋊C₄×C₂₉	—	2	1	no	—
570	C₄⋊C₄×C₂₉	—	2	1	no	—
571	C₄⋊C₄×C₂₉	—	2	1	no	—
572	C₄⋊C₄×C₂₉	—	2	1	no	—
573	C₄⋊C₄×C₂₉	—	2	1	no	—
574	C₄⋊C₄×C₂₉	—	2	1	no	—
575	C₄⋊C₄×C₂₉	—	2	1	no	—
576	C₄⋊C₄×C₂₉	—	2	1	no	—
577	C₄⋊C₄×C₂₉	—	2	1	no	—
578	C₄⋊C₄×C₂₉	—	2	1	no	—
579	C₄⋊C₄×C₂₉	—	2	1	no	—
580	C₄⋊C₄×C₂₉	—	2	1	no	—
581	C₄⋊C₄×C₂₉	—	2	1	no	—
582	C₄⋊C₄×C₂₉	—	2	1	no	—
583	C₄⋊C₄×C₂₉	—	2	1	no	—
584	C₄⋊C₄×C₂₉	—	2	1	no	—
585	C₄⋊C₄×C₂₉	—	2	1	no	—
586	C₄⋊C₄×C₂₉	—	2	1	no	—
587	C₄⋊C₄×C₂₉	—	2	1	no	—
588	C₄⋊C₄×C₂₉	—	2	1	no	—
589	C₄⋊C₄×C₂₉	—	2	1	no	—
590	C₄⋊C₄×C₂₉	—	2	1	no	—
591	C₄⋊C₄×C₂₉	—	2	1	no	—
592	C₄⋊C₄×C₂₉	—	2	1	no	—
593	C₄⋊C₄×C₂₉	—	2	1	no	—
594	C₄⋊C₄×C₂₉	—	2	1	no	—
595	C₄⋊C₄×C₂₉	—	2	1	no	—
596	C₄⋊C₄×C₂₉	—	2	1	no	—
597	C₄⋊C₄×C₂₉	—	2	1	no	—
598	C₄⋊C₄×C₂₉	—	2	1	no	—
599	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₂₉	C₂⁴	1	1	yes	characteristic
619	C₂²⋊C₄×C₂₉	—	2	1	no	—
620	C₂²⋊C₄×C₂₉	—	2	1	no	—
621	C₂²⋊C₄×C₂₉	—	2	1	no	—
622	C₂²⋊C₄×C₂₉	—	2	1	no	—
623	C₂²⋊C₄×C₂₉	—	2	1	no	—
624	C₂²⋊C₄×C₂₉	—	2	1	no	—
625	C₂²⋊C₄×C₂₉	—	2	1	no	—
626	C₂²⋊C₄×C₂₉	—	2	1	no	—
627	C₂²⋊C₄×C₂₉	—	2	1	no	—
628	C₂²⋊C₄×C₂₉	—	2	1	no	—
629	C₂²⋊C₄×C₂₉	—	2	1	no	—
630	C₂²⋊C₄×C₂₉	—	2	1	no	—
631	C₂²⋊C₄×C₂₉	—	2	1	no	—
632	C₂²⋊C₄×C₂₉	—	2	1	no	—
633	C₂²⋊C₄×C₂₉	—	2	1	no	—
634	C₂²⋊C₄×C₂₉	—	2	1	no	—
635	C₂²⋊C₄×C₂₉	—	2	1	no	—
636	C₂²⋊C₄×C₂₉	—	2	1	no	—
637	C₂²⋊C₄×C₂₉	—	2	1	no	—
638	C₂²⋊C₄×C₂₉	—	2	1	no	—
639	C₂²⋊C₄×C₂₉	—	2	1	no	—
640	C₂²⋊C₄×C₂₉	—	2	1	no	—
641	C₂²⋊C₄×C₂₉	—	2	1	no	—
642	C₂²⋊C₄×C₂₉	—	2	1	no	—
643	C₂²⋊C₄×C₂₉	—	2	1	no	—
644	C₂²⋊C₄×C₂₉	—	2	1	no	—
645	C₂²⋊C₄×C₂₉	—	2	1	no	—
646	C₂²⋊C₄×C₂₉	—	2	1	no	—
647	C₂²⋊C₄×C₂₉	—	2	1	no	—
648	C₂²⋊C₄×C₂₉	—	2	1	no	—
649	C₂²⋊C₄×C₂₉	—	2	1	no	—
650	C₂²⋊C₄×C₂₉	—	2	1	no	—
651	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
661	C₄²×C₂₉	—	2	1	no	—
662	C₄²×C₂₉	—	2	1	no	—
663	C₄²×C₂₉	—	2	1	no	—
664	C₄²×C₂₉	—	2	1	no	—
665	C₄²×C₂₉	—	2	1	no	—
666	C₄²×C₂₉	—	2	1	no	—
667	C₄²×C₂₉	—	2	1	no	—
668	C₄²×C₂₉	—	2	1	no	—
669	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
672	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
673	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
674	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
675	#62155	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
676	C₂³×C₂₉	—	2	1	no	—
677	C₂³×C₂₉	—	2	1	no	—
678	C₂³×C₂₉	—	2	1	no	—
679	C₂³×C₂₉	—	2	1	no	—
680	C₂³×C₂₉	—	4	2	no	—
681	C₂³×C₂₉	—	4	2	no	—
682	C₂³×C₂₉	—	4	2	no	—
683	C₂³×C₂₉	—	8	1	no	—
684	C₂³×C₂₉	—	8	1	no	—
685	C₂³×C₂₉	—	8	1	no	—
686	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
687	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
688	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
689	Q₈×C₂₉	—	2	1	no	—
690	Q₈×C₂₉	—	2	1	no	—
691	Q₈×C₂₉	—	2	1	no	—
692	Q₈×C₂₉	—	2	1	no	—
693	Q₈×C₂₉	—	4	1	no	—
694	Q₈×C₂₉	—	8	1	no	—
695	Q₈×C₂₉	—	8	1	no	—
696	Q₈×C₂₉	—	8	1	no	—
697	Q₈×C₂₉	—	8	1	no	—
698	Q₈×C₂₉	—	8	1	no	—
699	Q₈×C₂₉	—	8	1	no	—
700	Q₈×C₂₉	—	8	1	no	—
701	D₄×C₂₉	—	2	2	no	—
702	D₄×C₂₉	—	2	2	no	—
703	D₄×C₂₉	—	2	1	no	—
704	D₄×C₂₉	—	2	1	no	—
705	D₄×C₂₉	—	2	1	no	—
706	D₄×C₂₉	—	2	1	no	—
707	D₄×C₂₉	—	2	1	no	—
708	D₄×C₂₉	—	2	1	no	—
709	D₄×C₂₉	—	2	1	no	—
710	D₄×C₂₉	—	4	1	no	—
711	D₄×C₂₉	—	4	2	no	—
712	D₄×C₂₉	—	4	2	no	—
713	D₄×C₂₉	—	4	2	no	—
714	D₄×C₂₉	—	4	2	no	—
715	D₄×C₂₉	—	4	2	no	—
716	D₄×C₂₉	—	8	1	no	—
717	D₄×C₂₉	—	8	1	no	—
718	D₄×C₂₉	—	8	1	no	—
719	D₄×C₂₉	—	8	1	no	—
720	D₄×C₂₉	—	8	1	no	—
721	D₄×C₂₉	—	8	1	no	—
722	D₄×C₂₉	—	8	1	no	—
723	D₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
724	C₂×C₄×C₂₉	—	2	2	no	—
725	C₂×C₄×C₂₉	—	2	1	no	—
726	C₂×C₄×C₂₉	—	2	1	no	—
727	C₂×C₄×C₂₉	—	2	1	no	—
728	C₂×C₄×C₂₉	—	2	1	no	—
729	C₂×C₄×C₂₉	—	2	1	no	—
730	C₂×C₄×C₂₉	—	2	1	no	—
731	C₂×C₄×C₂₉	—	2	1	no	—
732	C₂×C₄×C₂₉	—	2	1	no	—
733	C₂×C₄×C₂₉	—	2	1	no	—
734	C₂×C₄×C₂₉	—	2	1	no	—
735	C₂×C₄×C₂₉	—	2	1	no	—
736	C₂×C₄×C₂₉	—	2	1	no	—
737	C₂×C₄×C₂₉	—	2	1	no	—
738	C₂×C₄×C₂₉	—	2	1	no	—
739	C₂×C₄×C₂₉	—	2	1	no	—
740	C₂×C₄×C₂₉	—	2	1	no	—
741	C₂×C₄×C₂₉	—	2	1	no	—
742	C₂×C₄×C₂₉	—	2	1	no	—
743	C₂×C₄×C₂₉	—	4	1	no	—
744	C₂×C₄×C₂₉	—	4	2	no	—
745	C₂×C₄×C₂₉	—	4	2	no	—
746	C₂×C₄×C₂₉	—	4	2	no	—
747	C₂×C₄×C₂₉	—	4	2	no	—
748	C₂×C₄×C₂₉	—	4	2	no	—
749	C₂×C₄×C₂₉	—	8	1	no	—
750	C₂×C₄×C₂₉	—	8	1	no	—
751	C₂×C₄×C₂₉	—	8	1	no	—
752	C₂×C₄×C₂₉	—	8	1	no	—
753	C₂×C₄×C₂₉	—	8	1	no	—
754	C₂×C₄×C₂₉	—	8	1	no	—
755	C₂×C₄×C₂₉	—	8	1	no	—
756	C₂×C₄×C₂₉	—	8	1	no	—
757	C₂×C₄×C₂₉	—	8	1	no	—
758	C₂×C₄×C₂₉	—	8	1	no	—
759	C₂×C₄×C₂₉	—	8	1	no	—
760	C₂×C₄×C₂₉	—	8	1	no	—
761	C₂×C₄×C₂₉	—	8	1	no	—
762	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
774	C₈×C₂₉	—	2	1	no	—
775	C₈×C₂₉	—	2	1	no	—
776	C₈×C₂₉	—	2	1	no	—
777	C₈×C₂₉	—	2	1	no	—
778	C₈×C₂₉	—	2	1	no	—
779	C₈×C₂₉	—	2	1	no	—
780	C₈×C₂₉	—	2	1	no	—
781	C₈×C₂₉	—	2	1	no	—
782	#3544	C₂×C₂₉	1	1	yes	characteristic, complemented
783	#3513	C₂×C₂₉	1	1	yes	characteristic, complemented
784	#3389	C₂×C₂₉	1	1	yes	characteristic, complemented
785	#3385	C₂×C₂₉	1	1	yes	characteristic, complemented
786	#3375	C₂×C₂₉	1	1	yes	characteristic, complemented
787	#3370	C₂×C₂₉	1	1	yes	characteristic, complemented
788	#3347	C₂×C₂₉	1	1	yes	characteristic, complemented
789	#3346	C₂×C₂₉	1	1	yes	characteristic, complemented
790	#3343	C₂×C₂₉	1	1	yes	characteristic, complemented
791	#3343	C₂×C₂₉	1	1	yes	characteristic, complemented
792	#3336	C₂×C₂₉	1	1	yes	characteristic, complemented
793	#3334	C₂×C₂₉	1	1	yes	characteristic, complemented
794	#3319	C₂×C₂₉	1	1	yes	characteristic, complemented
795	#3314	C₂×C₂₉	1	1	yes	characteristic, complemented
796	#3310	C₂×C₂₉	1	1	yes	characteristic, complemented
797	#3306	C₂×C₂₉	1	1	yes	characteristic, complemented
798	#3296	C₂×C₂₉	1	1	yes	characteristic, complemented
799	#3294	C₂×C₂₉	1	1	yes	characteristic, complemented
800	#3262	C₂×C₂₉	1	1	yes	characteristic, complemented
801	#3257	C₂×C₂₉	1	1	yes	characteristic, complemented
802	#3250	C₂×C₂₉	1	1	yes	characteristic, complemented
803	#3243	C₂×C₂₉	1	1	yes	characteristic, complemented
804	#3241	C₂×C₂₉	1	1	yes	characteristic, complemented
805	#3238	C₂×C₂₉	1	1	yes	characteristic, complemented
806	#3124	C₂×C₂₉	1	1	yes	characteristic, complemented
807	#3118	C₂×C₂₉	1	1	yes	characteristic, complemented
808	#3114	C₂×C₂₉	1	1	yes	characteristic, complemented
809	#3083	C₂×C₂₉	1	1	yes	characteristic, complemented
810	#3081	C₂×C₂₉	1	1	yes	characteristic, complemented
811	C₂×#474	C₂×C₂₉	1	1	yes	characteristic, complemented
812	#2992	C₂×C₂₉	1	1	yes	characteristic, complemented
813	C₂²×C₂₉	—	2	1	no	—
814	C₂²×C₂₉	—	2	1	no	—
815	C₂²×C₂₉	—	2	1	no	—
816	C₂²×C₂₉	—	2	1	no	—
817	C₂²×C₂₉	—	2	1	no	—
818	C₂²×C₂₉	—	2	1	no	—
819	C₂²×C₂₉	—	2	2	no	—
820	C₂²×C₂₉	—	2	1	no	—
821	C₂²×C₂₉	—	2	1	no	—
822	C₂²×C₂₉	—	4	1	no	—
823	C₂²×C₂₉	—	4	1	no	—
824	C₂²×C₂₉	—	4	1	no	—
825	C₂²×C₂₉	—	4	1	no	—
826	C₂²×C₂₉	—	4	1	no	—
827	C₂²×C₂₉	—	4	1	no	—
828	C₂²×C₂₉	—	4	1	no	—
829	C₂²×C₂₉	—	4	1	no	—
830	C₂²×C₂₉	—	4	1	no	—
831	C₂²×C₂₉	—	4	1	no	—
832	C₂²×C₂₉	—	4	1	no	—
833	C₂²×C₂₉	—	8	4	no	—
834	C₂²×C₂₉	—	16	2	no	—
835	C₂²×C₂₉	#576	1	2	yes	—
836	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
837	C₄×C₂₉	—	2	1	no	—
838	C₄×C₂₉	—	2	1	no	—
839	C₄×C₂₉	—	2	1	no	—
840	C₄×C₂₉	—	2	1	no	—
841	C₄×C₂₉	—	2	1	no	—
842	C₄×C₂₉	—	2	1	no	—
843	C₄×C₂₉	—	2	1	no	—
844	C₄×C₂₉	—	2	1	no	—
845	C₄×C₂₉	—	2	1	no	—
846	C₄×C₂₉	—	2	1	no	—
847	C₄×C₂₉	—	2	1	no	—
848	C₄×C₂₉	—	4	1	no	—
849	C₄×C₂₉	—	4	1	no	—
850	C₄×C₂₉	—	4	1	no	—
851	C₄×C₂₉	—	4	1	no	—
852	C₄×C₂₉	—	4	1	no	—
853	C₄×C₂₉	—	4	1	no	—
854	C₄×C₂₉	—	4	1	no	—
855	C₄×C₂₉	—	4	1	no	—
856	C₄×C₂₉	—	4	1	no	—
857	C₄×C₂₉	—	4	1	no	—
858	C₄×C₂₉	—	4	1	no	—
859	C₄×C₂₉	—	4	1	no	—
860	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
861	C₄×C₂₉	#585	1	1	yes	characteristic
862	#563	—	2	1	no	—
863	#563	—	2	1	no	—
864	#559	C₂²×C₂₉	1	1	yes	characteristic
865	Q₈²	C₂²×C₂₉	1	1	yes	characteristic, complemented
866	#555	C₂²×C₂₉	1	1	yes	characteristic, complemented
867	#554	C₂²×C₂₉	1	1	yes	characteristic
868	#554	C₂²×C₂₉	1	1	yes	characteristic, complemented
869	#554	C₂²×C₂₉	1	1	yes	characteristic, complemented
870	#553	—	2	1	no	—
871	#553	C₂²×C₂₉	1	1	yes	characteristic
872	#552	—	2	1	no	—
873	#552	C₂²×C₂₉	1	1	yes	characteristic
874	#552	C₂²×C₂₉	1	1	yes	characteristic
875	#552	C₂²×C₂₉	1	1	yes	characteristic, complemented
876	#551	—	2	1	no	—
877	#551	—	2	1	no	—
878	#547	—	2	1	no	—
879	#547	C₂²×C₂₉	1	1	yes	characteristic
880	#547	C₂²×C₂₉	1	1	yes	characteristic
881	#547	C₂²×C₂₉	1	1	yes	characteristic, complemented
882	#546	—	2	1	no	—
883	#546	C₂²×C₂₉	1	1	yes	characteristic
884	#546	C₂²×C₂₉	1	1	yes	characteristic
885	D₄²	C₂²×C₂₉	1	1	yes	characteristic
886	#544	—	2	1	no	—
887	#544	C₂²×C₂₉	1	1	yes	characteristic, complemented
888	#544	C₂²×C₂₉	1	1	yes	characteristic, complemented
889	#542	—	2	1	no	—
890	#542	C₂²×C₂₉	1	1	yes	characteristic
891	#542	C₂²×C₂₉	1	1	yes	characteristic, complemented
892	#542	C₂²×C₂₉	1	1	yes	characteristic, complemented
893	#540	C₂²×C₂₉	1	1	yes	characteristic
894	#539	—	2	1	no	—
895	#538	—	2	1	no	—
896	#536	—	2	1	no	—
897	#536	—	2	1	no	—
898	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
899	#529	C₂²×C₂₉	1	1	yes	characteristic
900	#529	C₂²×C₂₉	1	1	yes	characteristic
901	#529	C₂²×C₂₉	1	1	yes	characteristic, complemented
902	#525	—	2	1	no	—
903	C₂×#123	—	2	1	no	—
904	#520	C₂²×C₂₉	1	1	yes	characteristic
905	#518	C₂²×C₂₉	1	1	yes	characteristic
906	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
907	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
908	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
909	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
910	#501	C₂²×C₂₉	1	1	yes	characteristic, complemented
911	#500	C₂²×C₂₉	1	1	yes	characteristic, complemented
912	#499	C₂²×C₂₉	1	1	yes	characteristic, complemented
913	#490	C₂²×C₂₉	1	1	yes	characteristic
914	#489	C₂²×C₂₉	1	1	yes	characteristic, complemented
915	#489	C₂²×C₂₉	1	1	yes	characteristic, complemented
916	#489	C₂²×C₂₉	1	1	yes	characteristic, complemented
917	#488	C₂²×C₂₉	1	1	yes	characteristic, complemented
918	#486	C₂²×C₂₉	1	1	yes	characteristic
919	#485	C₂²×C₂₉	1	1	yes	characteristic, complemented
920	#485	C₂²×C₂₉	1	1	yes	characteristic, complemented
921	#484	C₂²×C₂₉	1	1	yes	characteristic, complemented
922	#484	C₂²×C₂₉	1	1	yes	characteristic, complemented
923	#483	C₂²×C₂₉	1	1	yes	characteristic, complemented
924	#483	C₂²×C₂₉	1	1	yes	characteristic, complemented
925	#483	C₂²×C₂₉	1	1	yes	characteristic, complemented
926	#482	C₂²×C₂₉	1	1	yes	characteristic
927	#482	C₂²×C₂₉	1	1	yes	characteristic, complemented
928	#482	C₂²×C₂₉	1	1	yes	characteristic, complemented
929	#482	C₂²×C₂₉	1	1	yes	characteristic, complemented
930	#481	C₂²×C₂₉	1	1	yes	characteristic, complemented
931	#480	C₂²×C₂₉	1	1	yes	characteristic
932	#480	C₂²×C₂₉	1	1	yes	characteristic
933	#480	C₂²×C₂₉	1	1	yes	characteristic
934	#480	C₂²×C₂₉	1	1	yes	characteristic, complemented
935	#480	C₂²×C₂₉	1	1	yes	characteristic, complemented
936	#480	C₂²×C₂₉	1	1	yes	characteristic, complemented
937	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
938	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
939	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
940	#479	C₂²×C₂₉	1	1	yes	characteristic, complemented
941	#478	C₂²×C₂₉	1	1	yes	characteristic
942	#478	C₂²×C₂₉	1	1	yes	characteristic
943	#478	C₂²×C₂₉	1	1	yes	characteristic
944	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
945	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
946	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
947	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
948	#478	C₂²×C₂₉	1	1	yes	characteristic, complemented
949	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
950	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
951	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
952	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
953	#476	C₂²×C₂₉	1	1	yes	characteristic
954	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
955	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
956	#474	C₂²×C₂₉	1	1	yes	characteristic
957	#474	C₂²×C₂₉	1	1	yes	characteristic
958	#474	C₂²×C₂₉	1	1	yes	characteristic
959	#474	C₂²×C₂₉	1	1	yes	characteristic
960	#474	C₂²×C₂₉	1	1	yes	characteristic
961	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
962	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
963	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
964	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
965	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
966	#474	C₂²×C₂₉	1	1	yes	characteristic, complemented
967	#469	C₂²×C₂₉	1	1	yes	characteristic, complemented
968	#468	C₂²×C₂₉	1	1	yes	characteristic
969	#468	C₂²×C₂₉	1	1	yes	characteristic, complemented
970	#468	C₂²×C₂₉	1	1	yes	characteristic, complemented
971	#467	C₂²×C₂₉	1	1	yes	characteristic, complemented
972	#467	C₂²×C₂₉	1	1	yes	characteristic, complemented
973	#466	C₂²×C₂₉	1	1	yes	characteristic
974	#466	C₂²×C₂₉	1	1	yes	characteristic
975	#466	C₂²×C₂₉	1	1	yes	characteristic, complemented
976	#465	C₂²×C₂₉	1	1	yes	characteristic
977	#465	C₂²×C₂₉	1	1	yes	characteristic, complemented
978	#465	C₂²×C₂₉	1	1	yes	characteristic, complemented
979	#464	C₂²×C₂₉	1	1	yes	characteristic, complemented
980	#464	C₂²×C₂₉	1	1	yes	characteristic, complemented
981	#464	C₂²×C₂₉	1	1	yes	characteristic, complemented
982	#463	C₂²×C₂₉	1	1	yes	characteristic
983	#463	C₂²×C₂₉	1	1	yes	characteristic, complemented
984	#463	C₂²×C₂₉	1	1	yes	characteristic, complemented
985	#463	C₂²×C₂₉	1	1	yes	characteristic, complemented
986	#463	C₂²×C₂₉	1	1	yes	characteristic, complemented
987	#460	C₂²×C₂₉	1	1	yes	characteristic
988	#459	C₂²×C₂₉	1	1	yes	characteristic
989	#452	C₂²×C₂₉	1	1	yes	characteristic
990	#450	C₂²×C₂₉	1	1	yes	characteristic
991	#450	C₂²×C₂₉	1	1	yes	characteristic
992	#449	C₂²×C₂₉	1	1	yes	characteristic
993	#447	C₂²×C₂₉	1	1	yes	characteristic
994	#447	C₂²×C₂₉	1	1	yes	characteristic
995	#446	C₂²×C₂₉	1	1	yes	characteristic, complemented
996	#446	C₂²×C₂₉	1	1	yes	characteristic, complemented
997	#442	C₂²×C₂₉	1	1	yes	characteristic
998	#442	C₂²×C₂₉	1	1	yes	characteristic
999	#442	C₂²×C₂₉	1	1	yes	characteristic, complemented
1000	#440	C₂²×C₂₉	1	1	yes	characteristic
1001	#440	C₂²×C₂₉	1	1	yes	characteristic
1002	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1003	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1004	#440	C₂²×C₂₉	1	1	yes	characteristic, complemented
1005	C₄×Q₁₆	C₂²×C₂₉	1	1	yes	characteristic, complemented
1006	C₄×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
1007	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic
1008	C₄×D₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
1009	#435	C₂²×C₂₉	1	1	yes	characteristic
1010	#435	C₂²×C₂₉	1	1	yes	characteristic, complemented
1011	#435	C₂²×C₂₉	1	1	yes	characteristic, complemented
1012	#435	C₂²×C₂₉	1	1	yes	characteristic, complemented
1013	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic
1014	C₈×D₄	C₂²×C₂₉	1	1	yes	characteristic, complemented
1015	#433	C₂²×C₂₉	1	1	yes	characteristic, complemented
1016	#433	C₂²×C₂₉	1	1	yes	characteristic, complemented
1017	#432	C₂²×C₂₉	1	1	yes	characteristic, complemented
1018	#428	C₂²×C₂₉	1	1	yes	characteristic, complemented
1019	#428	C₂²×C₂₉	1	1	yes	characteristic, complemented
1020	#427	C₂²×C₂₉	1	1	yes	characteristic, complemented
1021	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic, complemented
1022	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic, complemented
1023	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic, complemented
1024	#424	C₂²×C₂₉	1	1	yes	characteristic, complemented
1025	#424	C₂²×C₂₉	1	1	yes	characteristic, complemented
1026	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
1027	#418	C₂²×C₂₉	1	1	yes	characteristic
1028	#417	C₂²×C₂₉	1	1	yes	characteristic
1029	#416	C₂²×C₂₉	1	1	yes	characteristic
1030	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
1031	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
1032	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
1033	C₂×C₂₉	—	2	2	no	—
1034	C₂×C₂₉	—	4	1	no	—
1035	C₂×C₂₉	—	4	1	no	—
1036	C₂×C₂₉	—	4	2	no	—
1037	C₂×C₂₉	—	8	1	no	—
1038	C₂×C₂₉	—	8	1	no	—
1039	C₂×C₂₉	—	8	1	no	—
1040	C₂×C₂₉	#3489	1	1	yes	characteristic
1041	C₂×C₂₉	C₂×#576	1	1	yes	characteristic
1042	C₂×C₂₉	#3586	1	1	yes	characteristic
1043	C₂×#41	—	2	1	no	—
1044	C₂×#41	—	2	1	no	—
1045	C₂×#41	—	2	1	no	—
1046	C₂×#41	C₂³×C₂₉	1	1	yes	characteristic
1047	C₂²×Q₈	—	2	1	no	—
1048	C₂²×D₄	—	2	1	no	—
1049	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
1050	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
1051	C₂³×C₄	—	2	1	no	—
1052	C₂×Q₁₆	C₂³×C₂₉	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₂₉	1	1	yes	characteristic
1057	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1058	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1059	C₂×D₈	C₂³×C₂₉	1	1	yes	characteristic
1060	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₂₉	1	1	yes	characteristic
1062	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1063	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1064	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1065	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
1066	C₄⋊Q₈	—	2	1	no	—
1067	C₄⋊Q₈	—	2	1	no	—
1068	C₄⋊Q₈	—	2	1	no	—
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	—	2	1	no	—
1072	C₄⋊Q₈	—	2	1	no	—
1073	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1080	#127	C₂³×C₂₉	1	1	yes	characteristic
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	D₄×C₂₉	1	1	yes	characteristic
1091	#126	D₄×C₂₉	1	1	yes	characteristic
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	D₄×C₂₉	1	1	yes	characteristic
1099	#125	C₂³×C₂₉	1	1	yes	characteristic
1100	#125	C₂³×C₂₉	1	1	yes	characteristic
1101	#125	C₂³×C₂₉	1	1	yes	characteristic
1102	#125	C₂³×C₂₉	1	1	yes	characteristic
1103	#125	C₂³×C₂₉	1	1	yes	characteristic
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	D₄×C₂₉	1	1	yes	characteristic
1111	#124	C₂³×C₂₉	1	1	yes	characteristic
1112	#124	C₂³×C₂₉	1	1	yes	characteristic
1113	#124	C₂³×C₂₉	1	1	yes	characteristic
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	D₄×C₂₉	1	1	yes	characteristic
1136	#123	D₄×C₂₉	1	1	yes	characteristic
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	D₄×C₂₉	1	1	yes	characteristic
1169	#121	C₂³×C₂₉	1	1	yes	characteristic
1170	#121	C₂³×C₂₉	1	1	yes	characteristic
1171	#121	C₂³×C₂₉	1	1	yes	characteristic
1172	#121	C₂³×C₂₉	1	1	yes	characteristic
1173	#121	C₂³×C₂₉	1	1	yes	characteristic
1174	#121	C₂³×C₂₉	1	1	yes	characteristic
1175	#121	C₂³×C₂₉	1	1	yes	characteristic
1176	#120	—	2	1	no	—
1177	#120	—	2	1	no	—
1178	#120	—	2	1	no	—
1179	#120	—	2	1	no	—
1180	C₄×Q₈	—	2	1	no	—
1181	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1199	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1201	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	C₂³×C₂₉	1	1	yes	characteristic
1220	#117	C₂³×C₂₉	1	1	yes	characteristic
1221	#117	C₂³×C₂₉	1	1	yes	characteristic
1222	#117	C₂³×C₂₉	1	1	yes	characteristic
1223	#117	C₂³×C₂₉	1	1	yes	characteristic
1224	C₂×C₄⋊C₄	—	2	1	no	—
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1229	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1232	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1233	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	—	2	1	no	—
1235	C₂×C₂²⋊C₄	—	2	1	no	—
1236	C₂×C₂²⋊C₄	—	2	1	no	—
1237	C₂×C₂²⋊C₄	—	2	1	no	—
1238	C₂×C₂²⋊C₄	—	2	1	no	—
1239	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
1240	#107	C₂³×C₂₉	1	1	yes	characteristic
1241	#107	C₂³×C₂₉	1	1	yes	characteristic
1242	#107	C₂³×C₂₉	1	1	yes	characteristic
1243	#107	C₂³×C₂₉	1	1	yes	characteristic
1244	#107	C₂³×C₂₉	1	1	yes	characteristic
1245	#107	C₂³×C₂₉	1	1	yes	characteristic
1246	#107	C₂³×C₂₉	1	1	yes	characteristic
1247	#107	C₂³×C₂₉	1	1	yes	characteristic
1248	#107	C₂³×C₂₉	1	1	yes	characteristic
1249	#107	C₂³×C₂₉	1	1	yes	characteristic
1250	#107	C₂³×C₂₉	1	1	yes	characteristic
1251	#107	C₂³×C₂₉	1	1	yes	characteristic
1252	#107	C₂³×C₂₉	1	1	yes	characteristic
1253	#107	C₂³×C₂₉	1	1	yes	characteristic
1254	#107	C₂³×C₂₉	1	1	yes	characteristic
1255	#107	C₂³×C₂₉	1	1	yes	characteristic
1256	#106	C₂³×C₂₉	1	1	yes	characteristic
1257	#106	C₂³×C₂₉	1	1	yes	characteristic
1258	#106	C₂³×C₂₉	1	1	yes	characteristic
1259	#106	C₂³×C₂₉	1	1	yes	characteristic
1260	#106	C₂³×C₂₉	1	1	yes	characteristic
1261	#106	C₂³×C₂₉	1	1	yes	characteristic
1262	#106	C₂³×C₂₉	1	1	yes	characteristic
1263	#106	C₂³×C₂₉	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1274	#103	C₂³×C₂₉	1	1	yes	characteristic
1275	#103	C₂³×C₂₉	1	1	yes	characteristic
1276	#103	C₂³×C₂₉	1	1	yes	characteristic
1277	#103	C₂³×C₂₉	1	1	yes	characteristic
1278	#103	C₂³×C₂₉	1	1	yes	characteristic
1279	#103	C₂³×C₂₉	1	1	yes	characteristic
1280	#103	C₂³×C₂₉	1	1	yes	characteristic
1281	#103	C₂³×C₂₉	1	1	yes	characteristic
1282	#103	C₂³×C₂₉	1	1	yes	characteristic
1283	#103	C₂³×C₂₉	1	1	yes	characteristic
1284	#102	C₂³×C₂₉	1	1	yes	characteristic
1285	#102	C₂³×C₂₉	1	1	yes	characteristic
1286	#102	C₂³×C₂₉	1	1	yes	characteristic
1287	#102	C₂³×C₂₉	1	1	yes	characteristic
1288	#102	C₂³×C₂₉	1	1	yes	characteristic
1289	#102	C₂³×C₂₉	1	1	yes	characteristic
1290	#102	C₂³×C₂₉	1	1	yes	characteristic
1291	#102	C₂³×C₂₉	1	1	yes	characteristic
1292	#102	C₂³×C₂₉	1	1	yes	characteristic
1293	#102	C₂³×C₂₉	1	1	yes	characteristic
1294	#102	C₂³×C₂₉	1	1	yes	characteristic
1295	#102	C₂³×C₂₉	1	1	yes	characteristic
1296	#102	C₂³×C₂₉	1	1	yes	characteristic
1297	#102	C₂³×C₂₉	1	1	yes	characteristic
1298	#102	C₂³×C₂₉	1	1	yes	characteristic
1299	#102	C₂³×C₂₉	1	1	yes	characteristic
1300	#102	C₂³×C₂₉	1	1	yes	characteristic
1301	#102	C₂³×C₂₉	1	1	yes	characteristic
1302	#102	C₂³×C₂₉	1	1	yes	characteristic
1303	#102	C₂³×C₂₉	1	1	yes	characteristic
1304	#102	C₂³×C₂₉	1	1	yes	characteristic
1305	#102	C₂³×C₂₉	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
1312	#97	C₂³×C₂₉	1	1	yes	characteristic
1313	#97	C₂³×C₂₉	1	1	yes	characteristic
1314	#97	C₂³×C₂₉	1	1	yes	characteristic
1315	#97	C₂³×C₂₉	1	1	yes	characteristic
1316	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
1318	C₂₉	#62155	1	1	yes	characteristic, direct product factor, Sylow
1319	C₂⁴	—	2	1	no	—
1320	C₂⁴	—	2	1	no	—
1321	#41	—	2	2	no	—
1322	#41	—	4	1	no	—
1323	#41	—	8	2	no	—
1324	#41	—	8	2	no	—
1325	#41	—	8	2	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	8	2	no	—
1334	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
1335	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1336	C₂×Q₈	C₂⁴×C₂₉	1	1	yes	characteristic
1337	C₂×D₄	—	2	2	no	—
1338	C₂×D₄	—	2	2	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	4	1	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	8	2	no	—
1354	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1355	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1356	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1357	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1358	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1359	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1360	C₂×D₄	C₂⁴×C₂₉	1	1	yes	characteristic
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	8	2	no	—
1380	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1381	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1385	Q₁₆	—	4	1	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	4	1	no	—
1389	SD₁₆	—	4	1	no	—
1390	D₈	—	2	2	no	—
1391	D₈	—	4	1	no	—
1392	D₈	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	4	1	no	—
1395	C₂×C₈	—	4	1	no	—
1396	C₂×C₈	—	4	1	no	—
1397	C₂×C₈	—	4	1	no	—
1398	C₂×C₈	—	4	1	no	—
1399	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1400	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1401	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1402	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₂₉	1	1	yes	characteristic
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1450	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1451	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₂₉	1	1	yes	characteristic
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1511	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
1512	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1513	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1514	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1515	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	4	2	no	—
1522	C₂³	—	4	2	no	—
1523	C₂³	—	8	1	no	—
1524	C₂³	—	8	1	no	—
1525	C₂³	—	8	1	no	—
1526	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1527	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1528	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	4	1	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	Q₈	—	8	1	no	—
1538	Q₈	—	8	1	no	—
1539	Q₈	—	8	1	no	—
1540	Q₈	—	8	1	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	2	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	2	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	4	2	no	—
1555	D₄	—	4	2	no	—
1556	D₄	—	8	1	no	—
1557	D₄	—	8	1	no	—
1558	D₄	—	8	1	no	—
1559	D₄	—	8	1	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	2	no	—
1585	C₂×C₄	—	4	2	no	—
1586	C₂×C₄	—	4	2	no	—
1587	C₂×C₄	—	4	2	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1603	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1604	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1608	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
1613	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	8	4	no	—
1643	C₂²	—	16	2	no	—
1644	C₂²	C₂₉×#576	1	2	yes	—
1645	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
1670	C₄	C₂₉×#585	1	1	yes	characteristic
1671	C₂	—	2	2	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	1	no	—
1674	C₂	—	4	2	no	—
1675	C₂	—	8	1	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	8	1	no	—
1678	C₂	C₂₉×#3489	1	1	yes	characteristic
1679	C₂	C₂×C₂₉×#576	1	1	yes	characteristic
1680	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×#3544	C₂	semidirect
2. C₂₉×#3513	C₂	semidirect
3. C₂₉×#3389	C₂	semidirect
4. C₂₉×#3385	C₂	semidirect
5. C₂₉×#3375	C₂	semidirect
6. C₂₉×#3370	C₂	semidirect
7. C₂₉×#3347	C₂	semidirect
8. C₂₉×#3346	C₂	semidirect
9. C₂₉×#3343	C₂	semidirect
10. C₂₉×#3343	C₂	semidirect
11. C₂₉×#3336	C₂	semidirect
12. C₂₉×#3334	C₂	semidirect
13. C₂₉×#3319	C₂	semidirect
14. C₂₉×#3314	C₂	semidirect
15. C₂₉×#3310	C₂	semidirect
16. C₂₉×#3306	C₂	semidirect
17. C₂₉×#3296	C₂	semidirect
18. C₂₉×#3294	C₂	semidirect
19. C₂₉×#3262	C₂	semidirect
20. C₂₉×#3257	C₂	semidirect
21. C₂₉×#3250	C₂	semidirect
22. C₂₉×#3243	C₂	semidirect
23. C₂₉×#3241	C₂	semidirect
24. C₂₉×#3238	C₂	semidirect
25. C₂₉×#3124	C₂	semidirect
26. C₂₉×#3118	C₂	semidirect
27. C₂₉×#3114	C₂	semidirect
28. C₂₉×#3083	C₂	semidirect
29. C₂₉×#3081	C₂	semidirect
30. C₂×C₂₉×#474	C₂	semidirect
31. C₂₉×#2992	C₂	semidirect
35. Q₈²×C₂₉	C₂²	semidirect
36. C₂₉×#555	C₂²	semidirect
38. C₂₉×#554	C₂²	semidirect
39. C₂₉×#554	C₂²	semidirect
45. C₂₉×#552	C₂²	semidirect
51. C₂₉×#547	C₂²	semidirect
57. C₂₉×#544	C₂²	semidirect
58. C₂₉×#544	C₂²	semidirect
61. C₂₉×#542	C₂²	semidirect
62. C₂₉×#542	C₂²	semidirect
68. C₂×C₂₉×C₄⋊Q₈	C₂²	semidirect
71. C₂₉×#529	C₂²	semidirect
77. C₂₉×#501	C₂²	semidirect
78. C₂₉×#501	C₂²	semidirect
79. C₂₉×#501	C₂²	semidirect
80. C₂₉×#501	C₂²	semidirect
81. C₂₉×#500	C₂²	semidirect
82. C₂₉×#499	C₂²	semidirect
84. C₂₉×#489	C₂²	semidirect
85. C₂₉×#489	C₂²	semidirect
86. C₂₉×#489	C₂²	semidirect
87. C₂₉×#488	C₂²	semidirect
89. C₂₉×#485	C₂²	semidirect
90. C₂₉×#485	C₂²	semidirect
91. C₂₉×#484	C₂²	semidirect
92. C₂₉×#484	C₂²	semidirect
93. C₂₉×#483	C₂²	semidirect
94. C₂₉×#483	C₂²	semidirect
95. C₂₉×#483	C₂²	semidirect
97. C₂₉×#482	C₂²	semidirect
98. C₂₉×#482	C₂²	semidirect
99. C₂₉×#482	C₂²	semidirect
100. C₂₉×#481	C₂²	semidirect
104. C₂₉×#480	C₂²	semidirect
105. C₂₉×#480	C₂²	semidirect
106. C₂₉×#480	C₂²	semidirect
107. C₂₉×#479	C₂²	semidirect
108. C₂₉×#479	C₂²	semidirect
109. C₂₉×#479	C₂²	semidirect
110. C₂₉×#479	C₂²	semidirect
114. C₂₉×#478	C₂²	semidirect
115. C₂₉×#478	C₂²	semidirect
116. C₂₉×#478	C₂²	semidirect
117. C₂₉×#478	C₂²	semidirect
118. C₂₉×#478	C₂²	semidirect
119. C₂₉×#477	C₂²	semidirect
120. C₂₉×#477	C₂²	semidirect
121. C₂₉×#477	C₂²	semidirect
122. C₂₉×#477	C₂²	semidirect
124. C₂₉×#476	C₂²	semidirect
125. C₂₉×#476	C₂²	semidirect
131. C₂₉×#474	C₂²	semidirect
132. C₂₉×#474	C₂²	semidirect
133. C₂₉×#474	C₂²	semidirect
134. C₂₉×#474	C₂²	semidirect
135. C₂₉×#474	C₂²	semidirect
136. C₂₉×#474	C₂²	semidirect
137. C₂₉×#469	C₂²	semidirect
139. C₂₉×#468	C₂²	semidirect
140. C₂₉×#468	C₂²	semidirect
141. C₂₉×#467	C₂²	semidirect
142. C₂₉×#467	C₂²	semidirect
145. C₂₉×#466	C₂²	semidirect
147. C₂₉×#465	C₂²	semidirect
148. C₂₉×#465	C₂²	semidirect
149. C₂₉×#464	C₂²	semidirect
150. C₂₉×#464	C₂²	semidirect
151. C₂₉×#464	C₂²	semidirect
153. C₂₉×#463	C₂²	semidirect
154. C₂₉×#463	C₂²	semidirect
155. C₂₉×#463	C₂²	semidirect
156. C₂₉×#463	C₂²	semidirect
165. C₂₉×#446	C₂²	semidirect
166. C₂₉×#446	C₂²	semidirect
169. C₂₉×#442	C₂²	semidirect
172. C₂₉×#440	C₂²	semidirect
173. C₂₉×#440	C₂²	semidirect
174. C₂₉×#440	C₂²	semidirect
175. C₄×Q₁₆×C₂₉	C₂²	semidirect
178. C₄×D₈×C₂₉	C₂²	semidirect
180. C₂₉×#435	C₂²	semidirect
181. C₂₉×#435	C₂²	semidirect
182. C₂₉×#435	C₂²	semidirect
184. C₈×D₄×C₂₉	C₂²	semidirect
185. C₂₉×#433	C₂²	semidirect
186. C₂₉×#433	C₂²	semidirect
187. C₂₉×#432	C₂²	semidirect
188. C₂₉×#428	C₂²	semidirect
189. C₂₉×#428	C₂²	semidirect
190. C₂₉×#427	C₂²	semidirect
191. C₂×C₂₉×#107	C₂²	semidirect
192. C₂×C₂₉×#107	C₂²	semidirect
193. C₂×C₂₉×#107	C₂²	semidirect
194. C₂₉×#424	C₂²	semidirect
195. C₂₉×#424	C₂²	semidirect
196. C₂×C₂₉×C₄⋊C₈	C₂²	semidirect
675. #62155	C₂₉	direct (N × H)
782. #3544	C₂×C₂₉	semidirect
783. #3513	C₂×C₂₉	semidirect
784. #3389	C₂×C₂₉	semidirect
785. #3385	C₂×C₂₉	semidirect
786. #3375	C₂×C₂₉	semidirect
787. #3370	C₂×C₂₉	semidirect
788. #3347	C₂×C₂₉	semidirect
789. #3346	C₂×C₂₉	semidirect
790. #3343	C₂×C₂₉	semidirect
791. #3343	C₂×C₂₉	semidirect
792. #3336	C₂×C₂₉	semidirect
793. #3334	C₂×C₂₉	semidirect
794. #3319	C₂×C₂₉	semidirect
795. #3314	C₂×C₂₉	semidirect
796. #3310	C₂×C₂₉	semidirect
797. #3306	C₂×C₂₉	semidirect
798. #3296	C₂×C₂₉	semidirect
799. #3294	C₂×C₂₉	semidirect
800. #3262	C₂×C₂₉	semidirect
801. #3257	C₂×C₂₉	semidirect
802. #3250	C₂×C₂₉	semidirect
803. #3243	C₂×C₂₉	semidirect
804. #3241	C₂×C₂₉	semidirect
805. #3238	C₂×C₂₉	semidirect
806. #3124	C₂×C₂₉	semidirect
807. #3118	C₂×C₂₉	semidirect
808. #3114	C₂×C₂₉	semidirect
809. #3083	C₂×C₂₉	semidirect
810. #3081	C₂×C₂₉	semidirect
811. C₂×#474	C₂×C₂₉	semidirect
812. #2992	C₂×C₂₉	semidirect
865. Q₈²	C₂²×C₂₉	semidirect
866. #555	C₂²×C₂₉	semidirect
868. #554	C₂²×C₂₉	semidirect
869. #554	C₂²×C₂₉	semidirect
875. #552	C₂²×C₂₉	semidirect
881. #547	C₂²×C₂₉	semidirect
887. #544	C₂²×C₂₉	semidirect
888. #544	C₂²×C₂₉	semidirect
891. #542	C₂²×C₂₉	semidirect
892. #542	C₂²×C₂₉	semidirect
898. C₂×C₄⋊Q₈	C₂²×C₂₉	semidirect
901. #529	C₂²×C₂₉	semidirect
907. #501	C₂²×C₂₉	semidirect
908. #501	C₂²×C₂₉	semidirect
909. #501	C₂²×C₂₉	semidirect
910. #501	C₂²×C₂₉	semidirect
911. #500	C₂²×C₂₉	semidirect
912. #499	C₂²×C₂₉	semidirect
914. #489	C₂²×C₂₉	semidirect
915. #489	C₂²×C₂₉	semidirect
916. #489	C₂²×C₂₉	semidirect
917. #488	C₂²×C₂₉	semidirect
919. #485	C₂²×C₂₉	semidirect
920. #485	C₂²×C₂₉	semidirect
921. #484	C₂²×C₂₉	semidirect
922. #484	C₂²×C₂₉	semidirect
923. #483	C₂²×C₂₉	semidirect
924. #483	C₂²×C₂₉	semidirect
925. #483	C₂²×C₂₉	semidirect
927. #482	C₂²×C₂₉	semidirect
928. #482	C₂²×C₂₉	semidirect
929. #482	C₂²×C₂₉	semidirect
930. #481	C₂²×C₂₉	semidirect
934. #480	C₂²×C₂₉	semidirect
935. #480	C₂²×C₂₉	semidirect
936. #480	C₂²×C₂₉	semidirect
937. #479	C₂²×C₂₉	semidirect
938. #479	C₂²×C₂₉	semidirect
939. #479	C₂²×C₂₉	semidirect
940. #479	C₂²×C₂₉	semidirect
944. #478	C₂²×C₂₉	semidirect
945. #478	C₂²×C₂₉	semidirect
946. #478	C₂²×C₂₉	semidirect
947. #478	C₂²×C₂₉	semidirect
948. #478	C₂²×C₂₉	semidirect
949. #477	C₂²×C₂₉	semidirect
950. #477	C₂²×C₂₉	semidirect
951. #477	C₂²×C₂₉	semidirect
952. #477	C₂²×C₂₉	semidirect
954. #476	C₂²×C₂₉	semidirect
955. #476	C₂²×C₂₉	semidirect
961. #474	C₂²×C₂₉	semidirect
962. #474	C₂²×C₂₉	semidirect
963. #474	C₂²×C₂₉	semidirect
964. #474	C₂²×C₂₉	semidirect
965. #474	C₂²×C₂₉	semidirect
966. #474	C₂²×C₂₉	semidirect
967. #469	C₂²×C₂₉	semidirect
969. #468	C₂²×C₂₉	semidirect
970. #468	C₂²×C₂₉	semidirect
971. #467	C₂²×C₂₉	semidirect
972. #467	C₂²×C₂₉	semidirect
975. #466	C₂²×C₂₉	semidirect
977. #465	C₂²×C₂₉	semidirect
978. #465	C₂²×C₂₉	semidirect
979. #464	C₂²×C₂₉	semidirect
980. #464	C₂²×C₂₉	semidirect
981. #464	C₂²×C₂₉	semidirect
983. #463	C₂²×C₂₉	semidirect
984. #463	C₂²×C₂₉	semidirect
985. #463	C₂²×C₂₉	semidirect
986. #463	C₂²×C₂₉	semidirect
995. #446	C₂²×C₂₉	semidirect
996. #446	C₂²×C₂₉	semidirect
999. #442	C₂²×C₂₉	semidirect
1002. #440	C₂²×C₂₉	semidirect
1003. #440	C₂²×C₂₉	semidirect
1004. #440	C₂²×C₂₉	semidirect
1005. C₄×Q₁₆	C₂²×C₂₉	semidirect
1008. C₄×D₈	C₂²×C₂₉	semidirect
1010. #435	C₂²×C₂₉	semidirect
1011. #435	C₂²×C₂₉	semidirect
1012. #435	C₂²×C₂₉	semidirect
1014. C₈×D₄	C₂²×C₂₉	semidirect
1015. #433	C₂²×C₂₉	semidirect
1016. #433	C₂²×C₂₉	semidirect
1017. #432	C₂²×C₂₉	semidirect
1018. #428	C₂²×C₂₉	semidirect
1019. #428	C₂²×C₂₉	semidirect
1020. #427	C₂²×C₂₉	semidirect
1021. C₂×#107	C₂²×C₂₉	semidirect
1022. C₂×#107	C₂²×C₂₉	semidirect
1023. C₂×#107	C₂²×C₂₉	semidirect
1024. #424	C₂²×C₂₉	semidirect
1025. #424	C₂²×C₂₉	semidirect
1026. C₂×C₄⋊C₈	C₂²×C₂₉	semidirect
1318. C₂₉	#62155	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×#3544	2
C₂₉×#3513	2
C₂₉×#3389	2
C₂₉×#3385	2
C₂₉×#3375	2
C₂₉×#3370	2
C₂₉×#3347	2
C₂₉×#3346	2
C₂₉×#3343	2
C₂₉×#3336	2
C₂₉×#3334	2
C₂₉×#3319	2
C₂₉×#3314	2
C₂₉×#3310	2
C₂₉×#3306	2
C₂₉×#3296	2
C₂₉×#3294	2
C₂₉×#3262	2
C₂₉×#3257	2
C₂₉×#3250	2
C₂₉×#3243	2
C₂₉×#3241	2
C₂₉×#3238	2
C₂₉×#3124	2
C₂₉×#3118	2
C₂₉×#3114	2
C₂₉×#3083	2
C₂₉×#3081	2
C₂×C₂₉×#474	2
C₂₉×#2992	2
#62155	29

Subgroups — C29×#62155 #20357055

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62155 #20357055