Subgroups — #16833641

Order 3712.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14271905	C₂	1	1	yes	maximal, characteristic, complemented
2	#14271903	C₂	1	1	yes	maximal, characteristic, complemented
3	#14271901	C₂	1	1	yes	maximal, characteristic, complemented
4	#14271901	C₂	1	1	yes	maximal, characteristic, complemented
5	#14271840	C₂	1	1	yes	maximal, characteristic, complemented
6	#14271839	C₂	1	1	yes	maximal, characteristic, complemented
7	#14271836	C₂	1	1	yes	maximal, characteristic, complemented
8	#14271809	C₂	1	1	yes	maximal, characteristic, complemented
9	#14271808	C₂	1	1	yes	maximal, characteristic, complemented
10	#14271803	C₂	1	1	yes	maximal, characteristic, complemented
11	#14271801	C₂	1	1	yes	maximal, characteristic, complemented
12	#14271800	C₂	1	1	yes	maximal, characteristic, complemented
13	#14271797	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₂²⋊D₂₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#14271795	C₂	1	1	yes	maximal, characteristic, complemented
16	#14271753	C₂	1	1	yes	maximal, characteristic, complemented
17	#14271750	C₂	1	1	yes	maximal, characteristic, complemented
18	#14271749	C₂	1	1	yes	maximal, characteristic, complemented
19	#14271747	C₂	1	1	yes	maximal, characteristic, complemented
20	#14271746	C₂	1	1	yes	maximal, characteristic, complemented
21	#14271746	C₂	1	1	yes	maximal, characteristic, complemented
22	#14271729	C₂	1	1	yes	maximal, characteristic, complemented
23	#14271728	C₂	1	1	yes	maximal, characteristic, complemented
24	#14271727	C₂	1	1	yes	maximal, characteristic, complemented
25	#14271725	C₂	1	1	yes	maximal, characteristic, complemented
26	#14271724	C₂	1	1	yes	maximal, characteristic, complemented
27	#14271721	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11745244	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11745299	C₂	1	1	yes	maximal, characteristic, complemented
30	#120×D₂₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₉×#546	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₂₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×C₂₉	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#90807	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×#90805	C₂²	1	1	yes	characteristic, complemented
46	C₂²×D₁₁₆	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₁₁₆	C₂²	1	1	yes	characteristic, complemented
48	C₂₉×#124	C₂²	1	1	yes	characteristic, complemented
49	C₂₉×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂₉×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂₉×#121	C₂²	1	1	yes	characteristic, complemented
53	C₂₉×#121	C₂²	1	1	yes	characteristic, complemented
54	C₂₉×#121	C₂²	1	1	yes	characteristic, complemented
55	C₂₉×#120	C₂²	1	1	yes	characteristic, complemented
56	C₂₉×#120	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
58	C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₂²⋊C₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊C₄×C₂₉	C₂²	1	1	yes	characteristic, complemented
61	#11745315	C₂²	1	1	yes	characteristic
62	#11745315	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₂²⋊Dic₂₉	C₂²	1	1	yes	characteristic, complemented
64	#11745309	C₂²	1	1	yes	characteristic, complemented
65	#11745309	C₂²	1	1	yes	characteristic, complemented
66	#11745309	C₂²	1	1	yes	characteristic, complemented
67	#11745308	C₂²	1	1	yes	characteristic, complemented
68	#11745302	C₂²	1	1	yes	characteristic, complemented
69	#11745302	C₂²	1	1	yes	characteristic, complemented
70	#11745302	C₂²	1	1	yes	characteristic, complemented
71	#11745302	C₂²	1	1	yes	characteristic, complemented
72	#11745301	C₂²	1	1	yes	characteristic, complemented
73	#11745301	C₂²	1	1	yes	characteristic, complemented
74	#11745301	C₂²	1	1	yes	characteristic, complemented
75	#11745301	C₂²	1	1	yes	characteristic, complemented
76	#11745301	C₂²	1	1	yes	characteristic, complemented
77	#11745301	C₂²	1	1	yes	characteristic, complemented
78	#11745301	C₂²	1	1	yes	characteristic, complemented
79	#11745300	C₂²	1	1	yes	characteristic, complemented
80	#11745300	C₂²	1	1	yes	characteristic, complemented
81	#11745299	C₂²	1	1	yes	characteristic
82	#11745299	C₂²	1	1	yes	characteristic, complemented
83	#11745299	C₂²	1	1	yes	characteristic, complemented
84	#11745299	C₂²	1	1	yes	characteristic, complemented
85	#11745299	C₂²	1	1	yes	characteristic, complemented
86	#11745299	C₂²	1	1	yes	characteristic, complemented
87	#11745299	C₂²	1	1	yes	characteristic, complemented
88	#11745299	C₂²	1	1	yes	characteristic, complemented
89	#11745299	C₂²	1	1	yes	characteristic, complemented
90	#11745299	C₂²	1	1	yes	characteristic, complemented
91	#11745299	C₂²	1	1	yes	characteristic, complemented
92	#11745299	C₂²	1	1	yes	characteristic, complemented
93	#11745299	C₂²	1	1	yes	characteristic, complemented
94	#11745299	C₂²	1	1	yes	characteristic, complemented
95	#11745299	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₂₉	C₂²	1	1	yes	characteristic, complemented
97	D₄×Dic₂₉	C₂²	1	1	yes	characteristic, complemented
98	#11745292	C₂²	1	1	yes	characteristic, complemented
99	#11745292	C₂²	1	1	yes	characteristic, complemented
100	#11745292	C₂²	1	1	yes	characteristic, complemented
101	#11745292	C₂²	1	1	yes	characteristic, complemented
102	#11745292	C₂²	1	1	yes	characteristic, complemented
103	#11745292	C₂²	1	1	yes	characteristic, complemented
104	#11745292	C₂²	1	1	yes	characteristic, complemented
105	#11745292	C₂²	1	1	yes	characteristic, complemented
106	#11745291	C₂²	1	1	yes	characteristic, complemented
107	#11745291	C₂²	1	1	yes	characteristic, complemented
108	#11745291	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₂²⋊D₂₉	C₂²	1	1	yes	characteristic, complemented
112	C₂×#90781	C₂²	1	1	yes	characteristic, complemented
113	C₂×#90781	C₂²	1	1	yes	characteristic, complemented
114	C₂×#90781	C₂²	1	1	yes	characteristic, complemented
115	C₂×#90781	C₂²	1	1	yes	characteristic, complemented
116	C₂×#90781	C₂²	1	1	yes	characteristic, complemented
117	#11745288	C₂²	1	1	yes	characteristic, complemented
118	#11745286	C₂²	1	1	yes	characteristic, complemented
119	#11745260	C₂²	1	1	yes	characteristic, complemented
120	#11745260	C₂²	1	1	yes	characteristic, complemented
121	#11745260	C₂²	1	1	yes	characteristic, complemented
122	#11745260	C₂²	1	1	yes	characteristic, complemented
123	#11745260	C₂²	1	1	yes	characteristic, complemented
124	#11745259	C₂²	1	1	yes	characteristic, complemented
125	#11745257	C₂²	1	1	yes	characteristic, complemented
126	#11745257	C₂²	1	1	yes	characteristic, complemented
127	#11745257	C₂²	1	1	yes	characteristic, complemented
128	#11745256	C₂²	1	1	yes	characteristic, complemented
129	#11745256	C₂²	1	1	yes	characteristic, complemented
130	#11745256	C₂²	1	1	yes	characteristic, complemented
131	#11745256	C₂²	1	1	yes	characteristic, complemented
132	#11745256	C₂²	1	1	yes	characteristic, complemented
133	#11745255	C₂²	1	1	yes	characteristic, complemented
134	#11745254	C₂²	1	1	yes	characteristic, complemented
135	#11745248	C₂²	1	1	yes	characteristic, complemented
136	#11745248	C₂²	1	1	yes	characteristic, complemented
137	#11745248	C₂²	1	1	yes	characteristic, complemented
138	#11745248	C₂²	1	1	yes	characteristic, complemented
139	#11745248	C₂²	1	1	yes	characteristic, complemented
140	#11745247	C₂²	1	1	yes	characteristic, complemented
141	#11745247	C₂²	1	1	yes	characteristic, complemented
142	#11745247	C₂²	1	1	yes	characteristic, complemented
143	#11745247	C₂²	1	1	yes	characteristic, complemented
144	#11745247	C₂²	1	1	yes	characteristic, complemented
145	#11745247	C₂²	1	1	yes	characteristic, complemented
146	#11745246	C₂²	1	1	yes	characteristic, complemented
147	#11745246	C₂²	1	1	yes	characteristic, complemented
148	#11745246	C₂²	1	1	yes	characteristic, complemented
149	#11745246	C₂²	1	1	yes	characteristic, complemented
150	#11745246	C₂²	1	1	yes	characteristic, complemented
151	#11745246	C₂²	1	1	yes	characteristic, complemented
152	#11745246	C₂²	1	1	yes	characteristic, complemented
153	#11745245	C₂²	1	1	yes	characteristic, complemented
154	#11745245	C₂²	1	1	yes	characteristic, complemented
155	#11745245	C₂²	1	1	yes	characteristic, complemented
156	#11745244	C₂²	1	1	yes	characteristic
157	#11745244	C₂²	1	1	yes	characteristic, complemented
158	#11745244	C₂²	1	1	yes	characteristic, complemented
159	#11745244	C₂²	1	1	yes	characteristic, complemented
160	#11745244	C₂²	1	1	yes	characteristic, complemented
161	#11745244	C₂²	1	1	yes	characteristic, complemented
162	#11745244	C₂²	1	1	yes	characteristic, complemented
163	#11745244	C₂²	1	1	yes	characteristic, complemented
164	#11745244	C₂²	1	1	yes	characteristic, complemented
165	#11745244	C₂²	1	1	yes	characteristic, complemented
166	#11745244	C₂²	1	1	yes	characteristic, complemented
167	#11745244	C₂²	1	1	yes	characteristic, complemented
168	#11745244	C₂²	1	1	yes	characteristic, complemented
169	#11745244	C₂²	1	1	yes	characteristic, complemented
170	#11745244	C₂²	1	1	yes	characteristic, complemented
171	#11745243	C₂²	1	1	yes	characteristic, complemented
172	#11745243	C₂²	1	1	yes	characteristic, complemented
173	#11745243	C₂²	1	1	yes	characteristic, complemented
174	C₂²⋊C₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
176	C₂²⋊C₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊C₄×D₂₉	C₂²	1	1	yes	characteristic, complemented
178	#11745241	C₂²	1	1	yes	characteristic, complemented
179	#11745241	C₂²	1	1	yes	characteristic, complemented
180	#11745240	C₂²	1	1	yes	characteristic, complemented
181	#11745240	C₂²	1	1	yes	characteristic, complemented
182	#11745239	C₂²	1	1	yes	characteristic, complemented
183	#11745238	C₂²	1	1	yes	characteristic, complemented
184	#11745237	C₂²	1	1	yes	characteristic, complemented
185	#11745237	C₂²	1	1	yes	characteristic, complemented
186	C₄×D₁₁₆	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₂₉	C₂³	1	1	yes	characteristic
188	C₂⁴×C₂₉	C₂³	1	1	yes	characteristic
189	C₂³×D₂₉	—	4	2	no	—
190	C₂³×D₂₉	—	4	2	no	—
191	C₂³×D₂₉	—	4	2	no	—
192	C₂³×D₂₉	C₂³	1	1	yes	characteristic
193	C₂³×D₂₉	C₂³	1	1	yes	characteristic
194	C₂³×D₂₉	C₂³	1	1	yes	characteristic
195	C₂³×D₂₉	C₂³	1	1	yes	characteristic
196	C₂³×D₂₉	C₂³	1	1	yes	characteristic
197	C₂³×D₂₉	C₂³	1	1	yes	characteristic
198	C₂³×D₂₉	C₂³	1	1	yes	characteristic
199	C₂³×D₂₉	C₂³	1	1	yes	characteristic
200	C₂³×D₂₉	C₂³	1	1	yes	characteristic, complemented
201	#41×C₂₉	—	4	2	no	—
202	C₂×Q₈×C₂₉	C₂³	1	1	yes	characteristic, complemented
203	C₂×D₄×C₂₉	—	4	2	no	—
204	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
205	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
206	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
207	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
208	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
209	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
210	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic
211	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
212	C₂×D₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
213	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic
215	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic
216	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
217	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
218	C₂²×C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
219	C₂×C₂²⋊D₂₉	—	4	2	no	—
220	C₂×C₂²⋊D₂₉	—	4	2	no	—
221	C₂×C₂²⋊D₂₉	—	4	2	no	—
222	C₂×C₂²⋊D₂₉	—	4	2	no	—
223	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
243	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₂²⋊D₂₉	C₂³	1	1	yes	characteristic, complemented
247	C₂²×Dic₂₉	C₂³	1	1	yes	characteristic
248	C₂²×Dic₂₉	C₂³	1	1	yes	characteristic
249	C₂²×Dic₂₉	C₂³	1	1	yes	characteristic
250	C₂²×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
251	C₂²×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
252	#90807	—	4	2	no	—
253	D₄×D₂₉	—	4	2	no	—
254	D₄×D₂₉	—	4	2	no	—
255	D₄×D₂₉	—	4	2	no	—
256	D₄×D₂₉	—	4	2	no	—
257	D₄×D₂₉	—	4	2	no	—
258	#90805	—	4	2	no	—
259	C₂×D₁₁₆	—	4	2	no	—
260	C₂×D₁₁₆	—	4	2	no	—
261	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
262	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
263	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
264	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
265	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
266	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
267	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
268	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
269	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
270	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
271	C₂×D₁₁₆	C₂³	1	1	yes	characteristic
272	C₂×D₁₁₆	C₂³	1	1	yes	characteristic, complemented
273	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic, complemented
277	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic, complemented
278	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic, complemented
279	C₂×C₄×D₂₉	C₂³	1	1	yes	characteristic, complemented
280	C₂×Dic₅₈	C₂³	1	1	yes	characteristic, complemented
281	C₂×Dic₅₈	C₂³	1	1	yes	characteristic, complemented
282	C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
283	C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
284	C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
285	C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
286	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
287	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
288	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
289	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
290	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
291	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
292	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
293	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
294	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
295	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
296	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
297	C₂²⋊C₄×C₂₉	C₂³	1	1	yes	characteristic, complemented
298	C₄²×C₂₉	C₂³	1	1	yes	characteristic, complemented
299	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
300	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
301	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
302	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
303	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
304	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
305	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic
306	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
307	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
308	C₂²⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
309	#90781	C₂³	1	1	yes	characteristic
310	#90781	C₂³	1	1	yes	characteristic
311	#90781	C₂³	1	1	yes	characteristic
312	#90781	C₂³	1	1	yes	characteristic
313	#90781	C₂³	1	1	yes	characteristic
314	#90781	C₂³	1	1	yes	characteristic
315	#90781	C₂³	1	1	yes	characteristic
316	#90781	C₂³	1	1	yes	characteristic
317	#90781	C₂³	1	1	yes	characteristic
318	#90781	C₂³	1	1	yes	characteristic
319	#90781	C₂³	1	1	yes	characteristic
320	#90781	C₂³	1	1	yes	characteristic
321	#90781	C₂³	1	1	yes	characteristic
322	#90781	C₂³	1	1	yes	characteristic
323	#90781	C₂³	1	1	yes	characteristic
324	#90781	C₂³	1	1	yes	characteristic
325	#90781	C₂³	1	1	yes	characteristic
326	#90781	C₂³	1	1	yes	characteristic
327	#90781	C₂³	1	1	yes	characteristic
328	#90781	C₂³	1	1	yes	characteristic
329	#90781	C₂³	1	1	yes	characteristic
330	#90781	C₂³	1	1	yes	characteristic
331	#90781	C₂³	1	1	yes	characteristic, complemented
332	#90781	C₂³	1	1	yes	characteristic, complemented
333	#90781	C₂³	1	1	yes	characteristic, complemented
334	#90781	C₂³	1	1	yes	characteristic, complemented
335	#90781	C₂³	1	1	yes	characteristic, complemented
336	#90781	C₂³	1	1	yes	characteristic, complemented
337	#90781	C₂³	1	1	yes	characteristic, complemented
338	#90781	C₂³	1	1	yes	characteristic, complemented
339	#90781	C₂³	1	1	yes	characteristic, complemented
340	#90781	C₂³	1	1	yes	characteristic, complemented
341	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
342	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
343	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
344	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
345	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
346	C₄⋊Dic₂₉	C₂³	1	1	yes	characteristic, complemented
347	#90779	C₂³	1	1	yes	characteristic, complemented
348	#90779	C₂³	1	1	yes	characteristic, complemented
349	#90779	C₂³	1	1	yes	characteristic, complemented
350	#90779	C₂³	1	1	yes	characteristic, complemented
351	#90779	C₂³	1	1	yes	characteristic, complemented
352	#90779	C₂³	1	1	yes	characteristic, complemented
353	#90779	C₂³	1	1	yes	characteristic, complemented
354	#90779	C₂³	1	1	yes	characteristic, complemented
355	C₄×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
356	C₄×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
357	C₄×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
358	C₄×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
359	C₄×Dic₂₉	C₂³	1	1	yes	characteristic, complemented
360	C₂³×C₂₉	—	2	2	no	—
361	C₂³×C₂₉	—	2	2	no	—
362	C₂³×C₂₉	—	2	2	no	—
363	C₂³×C₂₉	—	4	1	no	—
364	C₂³×C₂₉	—	4	1	no	—
365	C₂³×C₂₉	—	4	1	no	—
366	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
367	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
368	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
369	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
370	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
371	C₂³×C₂₉	C₂⁴	1	1	yes	characteristic
372	C₂²×D₂₉	—	2	2	no	—
373	C₂²×D₂₉	—	2	2	no	—
374	C₂²×D₂₉	—	2	2	no	—
375	C₂²×D₂₉	—	2	2	no	—
376	C₂²×D₂₉	—	2	2	no	—
377	C₂²×D₂₉	—	2	2	no	—
378	C₂²×D₂₉	—	2	2	no	—
379	C₂²×D₂₉	—	2	2	no	—
380	C₂²×D₂₉	—	2	2	no	—
381	C₂²×D₂₉	—	4	1	no	—
382	C₂²×D₂₉	—	4	1	no	—
383	C₂²×D₂₉	—	4	1	no	—
384	C₂²×D₂₉	—	4	1	no	—
385	C₂²×D₂₉	—	4	1	no	—
386	C₂²×D₂₉	—	4	1	no	—
387	C₂²×D₂₉	—	4	1	no	—
388	C₂²×D₂₉	—	4	1	no	—
389	C₂²×D₂₉	—	4	1	no	—
390	C₂²×D₂₉	—	4	1	no	—
391	C₂²×D₂₉	—	4	1	no	—
392	C₂²×D₂₉	—	4	1	no	—
393	C₂²×D₂₉	—	4	1	no	—
394	C₂²×D₂₉	—	4	1	no	—
395	C₂²×D₂₉	—	4	1	no	—
396	C₂²×D₂₉	—	4	1	no	—
397	C₂²×D₂₉	—	4	1	no	—
398	C₂²×D₂₉	—	4	1	no	—
399	C₂²×D₂₉	—	4	16	no	—
400	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
401	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
402	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
403	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
404	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
405	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
406	C₂²×D₂₉	C₂⁴	1	1	yes	characteristic
407	Q₈×C₂₉	—	4	1	no	—
408	D₄×C₂₉	—	2	2	no	—
409	D₄×C₂₉	—	2	2	no	—
410	D₄×C₂₉	—	2	2	no	—
411	D₄×C₂₉	—	2	2	no	—
412	D₄×C₂₉	—	4	1	no	—
413	D₄×C₂₉	—	4	1	no	—
414	D₄×C₂₉	—	4	1	no	—
415	D₄×C₂₉	—	4	1	no	—
416	D₄×C₂₉	—	4	1	no	—
417	C₂×C₄×C₂₉	—	2	2	no	—
418	C₂×C₄×C₂₉	—	4	1	no	—
419	C₂×C₄×C₂₉	—	4	1	no	—
420	C₂×C₄×C₂₉	—	4	1	no	—
421	C₂×C₄×C₂₉	—	4	1	no	—
422	C₂×C₄×C₂₉	—	4	1	no	—
423	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
425	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
426	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
430	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
432	C₂²⋊D₂₉	—	2	2	no	—
433	C₂²⋊D₂₉	—	2	2	no	—
434	C₂²⋊D₂₉	—	2	2	no	—
435	C₂²⋊D₂₉	—	2	2	no	—
436	C₂²⋊D₂₉	—	2	2	no	—
437	C₂²⋊D₂₉	—	2	2	no	—
438	C₂²⋊D₂₉	—	4	1	no	—
439	C₂²⋊D₂₉	—	4	1	no	—
440	C₂²⋊D₂₉	—	4	1	no	—
441	C₂²⋊D₂₉	—	4	1	no	—
442	C₂²⋊D₂₉	—	4	1	no	—
443	C₂²⋊D₂₉	—	4	1	no	—
444	C₂²⋊D₂₉	—	4	1	no	—
445	C₂²⋊D₂₉	—	4	1	no	—
446	C₂²⋊D₂₉	—	4	1	no	—
447	C₂²⋊D₂₉	—	4	1	no	—
448	C₂²⋊D₂₉	—	4	1	no	—
449	C₂²⋊D₂₉	—	4	1	no	—
450	C₂²⋊D₂₉	—	4	1	no	—
451	C₂²⋊D₂₉	—	4	1	no	—
452	C₂²⋊D₂₉	—	4	1	no	—
453	C₂²⋊D₂₉	—	4	1	no	—
454	C₂²⋊D₂₉	—	4	1	no	—
455	C₂²⋊D₂₉	—	4	1	no	—
456	C₂×Dic₂₉	—	2	2	no	—
457	C₂×Dic₂₉	—	4	1	no	—
458	C₂×Dic₂₉	—	4	1	no	—
459	C₂×Dic₂₉	—	4	1	no	—
460	C₂×Dic₂₉	—	4	1	no	—
461	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
462	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
463	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
464	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
465	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
466	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
467	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
468	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
469	C₂×Dic₂₉	C₂⁴	1	1	yes	characteristic
470	D₁₁₆	—	2	2	no	—
471	D₁₁₆	—	2	2	no	—
472	D₁₁₆	—	4	1	no	—
473	D₁₁₆	—	4	1	no	—
474	D₁₁₆	—	4	1	no	—
475	D₁₁₆	—	4	1	no	—
476	D₁₁₆	—	4	1	no	—
477	D₁₁₆	—	4	1	no	—
478	D₁₁₆	—	4	1	no	—
479	D₁₁₆	—	4	1	no	—
480	D₁₁₆	—	4	1	no	—
481	D₁₁₆	—	4	1	no	—
482	C₄×D₂₉	—	2	2	no	—
483	C₄×D₂₉	—	4	1	no	—
484	C₄×D₂₉	—	4	1	no	—
485	C₄×D₂₉	—	4	1	no	—
486	C₄×D₂₉	—	4	1	no	—
487	C₄×D₂₉	—	4	1	no	—
488	C₄×D₂₉	—	4	1	no	—
489	Dic₅₈	—	4	1	no	—
490	Dic₅₈	—	4	1	no	—
491	#3532	—	29	1	no	maximal, Sylow
492	C₂²×C₂₉	—	2	1	no	—
493	C₂²×C₂₉	—	2	1	no	—
494	C₂²×C₂₉	—	2	1	no	—
495	C₂²×C₂₉	—	2	1	no	—
496	C₂²×C₂₉	—	2	1	no	—
497	C₂²×C₂₉	—	2	1	no	—
498	C₂²×C₂₉	—	2	1	no	—
499	C₂²×C₂₉	—	2	1	no	—
500	C₂²×C₂₉	—	2	1	no	—
501	C₂²×C₂₉	—	2	1	no	—
502	C₂²×C₂₉	—	2	1	no	—
503	C₂²×C₂₉	—	2	1	no	—
504	C₂²×C₂₉	—	2	1	no	—
505	C₂²×C₂₉	—	2	1	no	—
506	C₂²×C₂₉	—	2	1	no	—
507	C₂²×C₂₉	—	2	1	no	—
508	C₂²×C₂₉	—	4	4	no	—
509	C₂²×C₂₉	—	8	2	no	—
510	C₂²×C₂₉	H(5,𝔽₂)	1	2	yes	—
511	C₂²×C₂₉	H(5,𝔽₂)	1	2	yes	—
512	C₂²×C₂₉	C₂⁵	1	1	yes	characteristic
513	C₂×D₂₉	—	2	1	no	—
514	C₂×D₂₉	—	2	1	no	—
515	C₂×D₂₉	—	2	1	no	—
516	C₂×D₂₉	—	2	1	no	—
517	C₂×D₂₉	—	2	1	no	—
518	C₂×D₂₉	—	2	1	no	—
519	C₂×D₂₉	—	2	1	no	—
520	C₂×D₂₉	—	2	1	no	—
521	C₂×D₂₉	—	2	1	no	—
522	C₂×D₂₉	—	2	1	no	—
523	C₂×D₂₉	—	2	1	no	—
524	C₂×D₂₉	—	2	1	no	—
525	C₂×D₂₉	—	2	1	no	—
526	C₂×D₂₉	—	2	1	no	—
527	C₂×D₂₉	—	2	1	no	—
528	C₂×D₂₉	—	2	1	no	—
529	C₂×D₂₉	—	2	1	no	—
530	C₂×D₂₉	—	2	1	no	—
531	C₂×D₂₉	—	2	1	no	—
532	C₂×D₂₉	—	2	1	no	—
533	C₂×D₂₉	—	4	4	no	—
534	C₂×D₂₉	—	4	4	no	—
535	C₂×D₂₉	—	4	4	no	—
536	C₂×D₂₉	—	4	4	no	—
537	C₂×D₂₉	—	4	4	no	—
538	C₂×D₂₉	—	4	4	no	—
539	C₂×D₂₉	—	8	2	no	—
540	C₂×D₂₉	—	8	2	no	—
541	C₂×D₂₉	—	8	2	no	—
542	C₂×D₂₉	H(5,𝔽₂)	1	2	yes	—
543	C₄×C₂₉	—	2	1	no	—
544	C₄×C₂₉	—	2	1	no	—
545	C₄×C₂₉	—	2	1	no	—
546	C₄×C₂₉	—	2	1	no	—
547	C₄×C₂₉	—	2	1	no	—
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	Dic₂₉	—	2	1	no	—
553	Dic₂₉	—	2	1	no	—
554	Dic₂₉	—	2	1	no	—
555	Dic₂₉	—	2	1	no	—
556	Dic₂₉	—	2	1	no	—
557	Dic₂₉	—	2	1	no	—
558	Dic₂₉	—	2	1	no	—
559	Dic₂₉	—	2	1	no	—
560	Dic₂₉	—	2	1	no	—
561	H(3,𝔽₄)	—	29	1	no	—
562	#560	—	29	1	no	—
563	#560	—	29	1	no	—
564	#560	—	29	1	no	—
565	#551	—	29	1	no	—
566	#551	—	29	1	no	—
567	#551	—	29	1	no	—
568	#546	—	29	1	no	—
569	#546	—	29	1	no	—
570	#546	—	29	1	no	—
571	#546	—	29	1	no	—
572	#546	—	29	1	no	—
573	#546	D₂₉	1	1	yes	characteristic, complemented
574	D₄²	—	29	1	no	—
575	D₄²	—	29	1	no	—
576	D₄²	—	29	1	no	—
577	#538	—	29	1	no	—
578	#538	—	29	1	no	—
579	#538	—	29	1	no	—
580	#538	—	29	1	no	—
581	#538	—	29	1	no	—
582	#538	—	29	1	no	—
583	#535	—	29	1	no	—
584	#535	—	29	1	no	—
585	#535	—	29	1	no	—
586	#534	—	29	1	no	—
587	#534	—	29	1	no	—
588	#534	—	29	1	no	—
589	C₂×#120	—	29	1	no	—
590	C₂×#120	—	29	1	no	—
591	C₂×#120	—	29	1	no	—
592	C₂×C₂₉	—	2	2	no	—
593	C₂×C₂₉	—	2	2	no	—
594	C₂×C₂₉	—	4	1	no	—
595	C₂×C₂₉	—	4	1	no	—
596	C₂×C₂₉	—	4	1	no	—
597	C₂×C₂₉	—	4	1	no	—
598	C₂×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
599	C₂×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
600	C₂×C₂₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
601	D₂₉	—	2	2	no	—
602	D₂₉	—	4	1	no	—
603	D₂₉	—	4	1	no	—
604	D₂₉	—	4	1	no	—
605	D₂₉	—	4	1	no	—
606	D₂₉	—	4	1	no	—
607	D₂₉	—	4	1	no	—
608	C₂⁵	—	29	1	no	—
609	C₂×#41	—	29	1	no	—
610	C₂×#41	—	29	1	no	—
611	C₂×#41	C₂×D₂₉	1	1	yes	characteristic, complemented
612	C₂²×D₄	—	29	1	no	—
613	C₂²×D₄	—	29	1	no	—
614	C₂²×D₄	—	29	1	no	—
615	C₂²×D₄	—	29	1	no	—
616	C₂²×D₄	—	29	1	no	—
617	C₂²×D₄	—	29	1	no	—
618	C₂²×D₄	—	29	1	no	—
619	C₂²×D₄	—	29	1	no	—
620	C₂²×D₄	—	29	1	no	—
621	C₂²×D₄	—	29	1	no	—
622	C₂²×D₄	—	29	1	no	—
623	C₂²×D₄	C₂×D₂₉	1	1	yes	characteristic, complemented
624	#127	—	29	1	no	—
625	#127	—	29	1	no	—
626	#127	—	29	1	no	—
627	#127	—	29	1	no	—
628	#126	—	29	1	no	—
629	#126	—	29	1	no	—
630	#126	—	29	1	no	—
631	#126	—	29	1	no	—
632	#126	—	29	1	no	—
633	#126	—	29	1	no	—
634	#126	—	29	1	no	—
635	#126	—	29	1	no	—
636	#124	—	29	1	no	—
637	#124	—	29	1	no	—
638	#124	—	29	1	no	—
639	#124	—	29	1	no	—
640	#124	—	29	1	no	—
641	#124	—	29	1	no	—
642	#124	—	29	1	no	—
643	#124	—	29	1	no	—
644	#124	—	29	1	no	—
645	#124	—	29	1	no	—
646	#124	—	29	1	no	—
647	#124	C₂×D₂₉	1	1	yes	characteristic, complemented
648	#123	—	29	1	no	—
649	#123	—	29	1	no	—
650	#123	—	29	1	no	—
651	#123	—	29	1	no	—
652	#123	—	29	1	no	—
653	#123	—	29	1	no	—
654	#123	—	29	1	no	—
655	#123	—	29	1	no	—
656	#123	—	29	1	no	—
657	#123	—	29	1	no	—
658	#123	—	29	1	no	—
659	#123	—	29	1	no	—
660	#123	—	29	1	no	—
661	#123	—	29	1	no	—
662	#123	—	29	1	no	—
663	#123	—	29	1	no	—
664	#123	C₂×D₂₉	1	1	yes	characteristic, complemented
665	#123	C₂×D₂₉	1	1	yes	characteristic, complemented
666	C₂²⋊Q₈	—	29	1	no	—
667	C₂²⋊Q₈	—	29	1	no	—
668	C₂²⋊Q₈	—	29	1	no	—
669	C₂²⋊Q₈	—	29	1	no	—
670	C₂²⋊Q₈	—	29	1	no	—
671	C₂²⋊Q₈	C₂×D₂₉	1	1	yes	characteristic, complemented
672	#121	—	29	1	no	—
673	#121	—	29	1	no	—
674	#121	—	29	1	no	—
675	#121	—	29	1	no	—
676	#121	—	29	1	no	—
677	#121	—	29	1	no	—
678	#121	—	29	1	no	—
679	#121	—	29	1	no	—
680	#121	—	29	1	no	—
681	#121	—	29	1	no	—
682	#121	—	29	1	no	—
683	#121	—	29	1	no	—
684	#121	—	29	1	no	—
685	#121	—	29	1	no	—
686	#121	—	29	1	no	—
687	#121	—	29	1	no	—
688	#121	—	29	1	no	—
689	#121	—	29	1	no	—
690	#121	—	29	1	no	—
691	#121	—	29	1	no	—
692	#121	—	29	1	no	—
693	#121	—	29	1	no	—
694	#121	—	29	1	no	—
695	#121	—	29	1	no	—
696	#121	—	29	1	no	—
697	#121	—	29	1	no	—
698	#121	—	29	1	no	—
699	#121	C₂×D₂₉	1	1	yes	characteristic, complemented
700	#121	C₂×D₂₉	1	1	yes	characteristic, complemented
701	#121	C₂×D₂₉	1	1	yes	characteristic, complemented
702	#120	—	29	1	no	—
703	#120	—	29	1	no	—
704	#120	—	29	1	no	—
705	#120	—	29	1	no	—
706	#120	—	29	1	no	—
707	#120	—	29	1	no	—
708	#120	—	29	1	no	—
709	#120	—	29	1	no	—
710	#120	—	29	1	no	—
711	#120	—	29	1	no	—
712	#120	—	29	1	no	—
713	#120	—	29	1	no	—
714	#120	—	29	1	no	—
715	#120	—	29	1	no	—
716	#120	—	29	1	no	—
717	#120	—	29	1	no	—
718	#120	—	29	1	no	—
719	#120	—	29	1	no	—
720	#120	—	29	1	no	—
721	#120	—	29	1	no	—
722	#120	—	29	1	no	—
723	#120	—	29	1	no	—
724	#120	—	29	1	no	—
725	#120	—	29	1	no	—
726	#120	—	29	1	no	—
727	#120	—	29	1	no	—
728	#120	—	29	1	no	—
729	#120	—	29	1	no	—
730	#120	—	29	1	no	—
731	#120	—	29	1	no	—
732	#120	—	29	1	no	—
733	#120	—	29	1	no	—
734	#120	C₂×D₂₉	1	1	yes	characteristic, complemented
735	#120	C₂×D₂₉	1	1	yes	characteristic, complemented
736	C₄×D₄	—	29	1	no	—
737	C₄×D₄	—	29	1	no	—
738	C₄×D₄	—	29	1	no	—
739	C₄×D₄	—	29	1	no	—
740	C₄×D₄	—	29	1	no	—
741	C₄×D₄	—	29	1	no	—
742	C₄×D₄	—	29	1	no	—
743	C₄×D₄	—	29	1	no	—
744	C₄×D₄	—	29	1	no	—
745	C₄×D₄	—	29	1	no	—
746	C₄×D₄	C₂×D₂₉	1	1	yes	characteristic, complemented
747	C₄×D₄	C₂×D₂₉	1	1	yes	characteristic, complemented
748	#117	—	29	1	no	—
749	#117	—	29	1	no	—
750	#117	—	29	1	no	—
751	C₂×C₂²⋊C₄	—	29	1	no	—
752	C₂×C₂²⋊C₄	—	29	1	no	—
753	C₂×C₂²⋊C₄	—	29	1	no	—
754	C₂×C₂²⋊C₄	—	29	1	no	—
755	C₂×C₂²⋊C₄	—	29	1	no	—
756	C₂×C₂²⋊C₄	—	29	1	no	—
757	C₂×C₂²⋊C₄	—	29	1	no	—
758	C₂×C₂²⋊C₄	—	29	1	no	—
759	C₂×C₂²⋊C₄	—	29	1	no	—
760	C₂×C₂²⋊C₄	—	29	1	no	—
761	C₂×C₂²⋊C₄	C₂×D₂₉	1	1	yes	characteristic, complemented
762	C₂×C₂²⋊C₄	C₂×D₂₉	1	1	yes	characteristic, complemented
763	C₂₉	#3532	1	1	yes	characteristic, complemented, Sylow
764	C₂⁴	—	29	1	no	—
765	C₂⁴	—	29	1	no	—
766	C₂⁴	—	29	1	no	—
767	C₂⁴	—	29	1	no	—
768	C₂⁴	—	29	1	no	—
769	C₂⁴	—	29	1	no	—
770	C₂⁴	—	29	1	no	—
771	C₂⁴	—	29	1	no	—
772	C₂⁴	—	29	1	no	—
773	C₂⁴	—	116	2	no	—
774	C₂⁴	—	116	2	no	—
775	C₂⁴	—	116	2	no	—
776	C₂⁴	C₂²×D₂₉	1	1	yes	characteristic
777	C₂⁴	C₂²×D₂₉	1	1	yes	characteristic
778	#41	—	4	2	no	—
779	#41	—	116	2	no	—
780	#41	—	116	2	no	—
781	C₂×Q₈	—	29	1	no	—
782	C₂×Q₈	—	29	1	no	—
783	C₂×Q₈	C₂²×D₂₉	1	1	yes	characteristic, complemented
784	C₂×D₄	—	4	2	no	—
785	C₂×D₄	—	29	1	no	—
786	C₂×D₄	—	29	1	no	—
787	C₂×D₄	—	29	1	no	—
788	C₂×D₄	—	29	1	no	—
789	C₂×D₄	—	29	1	no	—
790	C₂×D₄	—	29	1	no	—
791	C₂×D₄	—	29	1	no	—
792	C₂×D₄	—	29	1	no	—
793	C₂×D₄	—	29	1	no	—
794	C₂×D₄	—	29	1	no	—
795	C₂×D₄	—	29	1	no	—
796	C₂×D₄	—	29	1	no	—
797	C₂×D₄	—	29	1	no	—
798	C₂×D₄	—	29	1	no	—
799	C₂×D₄	—	29	1	no	—
800	C₂×D₄	—	29	1	no	—
801	C₂×D₄	—	29	1	no	—
802	C₂×D₄	—	29	1	no	—
803	C₂×D₄	—	29	1	no	—
804	C₂×D₄	—	29	1	no	—
805	C₂×D₄	—	29	1	no	—
806	C₂×D₄	—	29	1	no	—
807	C₂×D₄	—	29	1	no	—
808	C₂×D₄	—	29	1	no	—
809	C₂×D₄	—	29	1	no	—
810	C₂×D₄	—	29	1	no	—
811	C₂×D₄	—	29	1	no	—
812	C₂×D₄	—	29	1	no	—
813	C₂×D₄	—	29	1	no	—
814	C₂×D₄	—	29	1	no	—
815	C₂×D₄	—	29	1	no	—
816	C₂×D₄	—	29	1	no	—
817	C₂×D₄	—	29	1	no	—
818	C₂×D₄	—	29	1	no	—
819	C₂×D₄	—	29	1	no	—
820	C₂×D₄	—	29	1	no	—
821	C₂×D₄	—	116	2	no	—
822	C₂×D₄	—	116	2	no	—
823	C₂×D₄	—	116	2	no	—
824	C₂×D₄	—	116	2	no	—
825	C₂×D₄	—	116	2	no	—
826	C₂×D₄	—	116	2	no	—
827	C₂×D₄	—	116	2	no	—
828	C₂×D₄	—	116	2	no	—
829	C₂×D₄	—	116	2	no	—
830	C₂×D₄	—	116	2	no	—
831	C₂×D₄	—	116	2	no	—
832	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
833	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
834	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
835	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
836	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
837	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
838	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic
839	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
840	C₂×D₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
841	C₂²×C₄	—	29	1	no	—
842	C₂²×C₄	—	29	1	no	—
843	C₂²×C₄	—	29	1	no	—
844	C₂²×C₄	—	29	1	no	—
845	C₂²×C₄	—	29	1	no	—
846	C₂²×C₄	—	29	1	no	—
847	C₂²×C₄	—	29	1	no	—
848	C₂²×C₄	—	29	1	no	—
849	C₂²×C₄	—	29	1	no	—
850	C₂²×C₄	—	29	1	no	—
851	C₂²×C₄	—	29	1	no	—
852	C₂²×C₄	—	29	1	no	—
853	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic
854	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic
855	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
857	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
858	C₂²×C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
859	C₄⋊C₄	—	29	1	no	—
860	C₄⋊C₄	—	29	1	no	—
861	C₄⋊C₄	—	29	1	no	—
862	C₄⋊C₄	—	29	1	no	—
863	C₄⋊C₄	—	29	1	no	—
864	C₄⋊C₄	—	29	1	no	—
865	C₄⋊C₄	—	29	1	no	—
866	C₄⋊C₄	—	29	1	no	—
867	C₄⋊C₄	—	29	1	no	—
868	C₄⋊C₄	—	29	1	no	—
869	C₄⋊C₄	—	29	1	no	—
870	C₄⋊C₄	—	29	1	no	—
871	C₄⋊C₄	—	29	1	no	—
872	C₄⋊C₄	—	29	1	no	—
873	C₄⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
874	C₄⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
875	C₄⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
876	C₄⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
877	C₂²⋊C₄	—	29	1	no	—
878	C₂²⋊C₄	—	29	1	no	—
879	C₂²⋊C₄	—	29	1	no	—
880	C₂²⋊C₄	—	29	1	no	—
881	C₂²⋊C₄	—	29	1	no	—
882	C₂²⋊C₄	—	29	1	no	—
883	C₂²⋊C₄	—	29	1	no	—
884	C₂²⋊C₄	—	29	1	no	—
885	C₂²⋊C₄	—	29	1	no	—
886	C₂²⋊C₄	—	29	1	no	—
887	C₂²⋊C₄	—	29	1	no	—
888	C₂²⋊C₄	—	29	1	no	—
889	C₂²⋊C₄	—	29	1	no	—
890	C₂²⋊C₄	—	29	1	no	—
891	C₂²⋊C₄	—	29	1	no	—
892	C₂²⋊C₄	—	29	1	no	—
893	C₂²⋊C₄	—	29	1	no	—
894	C₂²⋊C₄	—	29	1	no	—
895	C₂²⋊C₄	—	29	1	no	—
896	C₂²⋊C₄	—	29	1	no	—
897	C₂²⋊C₄	—	29	1	no	—
898	C₂²⋊C₄	—	29	1	no	—
899	C₂²⋊C₄	—	29	1	no	—
900	C₂²⋊C₄	—	29	1	no	—
901	C₂²⋊C₄	—	29	1	no	—
902	C₂²⋊C₄	—	29	1	no	—
903	C₂²⋊C₄	—	29	1	no	—
904	C₂²⋊C₄	—	29	1	no	—
905	C₂²⋊C₄	—	29	1	no	—
906	C₂²⋊C₄	—	29	1	no	—
907	C₂²⋊C₄	—	29	1	no	—
908	C₂²⋊C₄	—	29	1	no	—
909	C₂²⋊C₄	—	29	1	no	—
910	C₂²⋊C₄	—	29	1	no	—
911	C₂²⋊C₄	—	29	1	no	—
912	C₂²⋊C₄	—	29	1	no	—
913	C₂²⋊C₄	—	29	1	no	—
914	C₂²⋊C₄	—	29	1	no	—
915	C₂²⋊C₄	—	29	1	no	—
916	C₂²⋊C₄	—	29	1	no	—
917	C₂²⋊C₄	—	29	1	no	—
918	C₂²⋊C₄	—	29	1	no	—
919	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
920	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
921	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
922	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
923	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
924	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
925	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic
926	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
927	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
928	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
929	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
930	C₂²⋊C₄	C₂²×D₂₉	1	1	yes	characteristic, complemented
931	C₄²	—	29	1	no	—
932	C₄²	—	29	1	no	—
933	C₄²	—	29	1	no	—
934	C₄²	—	29	1	no	—
935	C₄²	—	29	1	no	—
936	C₄²	C₂²×D₂₉	1	1	yes	characteristic, complemented
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	4	1	no	—
941	C₂³	—	4	1	no	—
942	C₂³	—	4	1	no	—
943	C₂³	—	29	1	no	—
944	C₂³	—	29	1	no	—
945	C₂³	—	29	1	no	—
946	C₂³	—	29	1	no	—
947	C₂³	—	29	1	no	—
948	C₂³	—	29	1	no	—
949	C₂³	—	29	1	no	—
950	C₂³	—	58	2	no	—
951	C₂³	—	58	2	no	—
952	C₂³	—	58	2	no	—
953	C₂³	—	58	2	no	—
954	C₂³	—	58	2	no	—
955	C₂³	—	58	2	no	—
956	C₂³	—	58	2	no	—
957	C₂³	—	58	2	no	—
958	C₂³	—	58	2	no	—
959	C₂³	—	116	1	no	—
960	C₂³	—	116	1	no	—
961	C₂³	—	116	1	no	—
962	C₂³	—	116	1	no	—
963	C₂³	—	116	1	no	—
964	C₂³	—	116	1	no	—
965	C₂³	—	116	1	no	—
966	C₂³	—	116	1	no	—
967	C₂³	—	116	1	no	—
968	C₂³	—	116	1	no	—
969	C₂³	—	116	1	no	—
970	C₂³	—	116	1	no	—
971	C₂³	—	116	1	no	—
972	C₂³	—	116	1	no	—
973	C₂³	—	116	1	no	—
974	C₂³	—	116	1	no	—
975	C₂³	—	116	1	no	—
976	C₂³	—	116	1	no	—
977	C₂³	—	116	16	no	—
978	C₂³	C₂³×D₂₉	1	1	yes	characteristic
979	C₂³	C₂³×D₂₉	1	1	yes	characteristic
980	C₂³	C₂³×D₂₉	1	1	yes	characteristic
981	C₂³	C₂³×D₂₉	1	1	yes	characteristic
982	C₂³	C₂³×D₂₉	1	1	yes	characteristic
983	C₂³	C₂³×D₂₉	1	1	yes	characteristic
984	Q₈	—	4	1	no	—
985	Q₈	—	116	1	no	—
986	Q₈	—	116	1	no	—
987	D₄	—	2	2	no	—
988	D₄	—	2	2	no	—
989	D₄	—	2	2	no	—
990	D₄	—	2	2	no	—
991	D₄	—	4	1	no	—
992	D₄	—	4	1	no	—
993	D₄	—	4	1	no	—
994	D₄	—	4	1	no	—
995	D₄	—	4	1	no	—
996	D₄	—	58	2	no	—
997	D₄	—	58	2	no	—
998	D₄	—	58	2	no	—
999	D₄	—	58	2	no	—
1000	D₄	—	58	2	no	—
1001	D₄	—	58	2	no	—
1002	D₄	—	58	2	no	—
1003	D₄	—	58	2	no	—
1004	D₄	—	116	1	no	—
1005	D₄	—	116	1	no	—
1006	D₄	—	116	1	no	—
1007	D₄	—	116	1	no	—
1008	D₄	—	116	1	no	—
1009	D₄	—	116	1	no	—
1010	D₄	—	116	1	no	—
1011	D₄	—	116	1	no	—
1012	D₄	—	116	1	no	—
1013	D₄	—	116	1	no	—
1014	D₄	—	116	1	no	—
1015	D₄	—	116	1	no	—
1016	D₄	—	116	1	no	—
1017	D₄	—	116	1	no	—
1018	D₄	—	116	1	no	—
1019	D₄	—	116	1	no	—
1020	D₄	—	116	1	no	—
1021	D₄	—	116	1	no	—
1022	D₄	—	116	1	no	—
1023	D₄	—	116	1	no	—
1024	D₄	—	116	1	no	—
1025	D₄	—	116	1	no	—
1026	D₄	—	116	1	no	—
1027	D₄	—	116	1	no	—
1028	D₄	—	116	1	no	—
1029	D₄	—	116	1	no	—
1030	D₄	—	116	1	no	—
1031	D₄	—	116	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	1	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	1	no	—
1038	C₂×C₄	—	29	1	no	—
1039	C₂×C₄	—	29	1	no	—
1040	C₂×C₄	—	29	1	no	—
1041	C₂×C₄	—	29	1	no	—
1042	C₂×C₄	—	29	1	no	—
1043	C₂×C₄	—	29	1	no	—
1044	C₂×C₄	—	29	1	no	—
1045	C₂×C₄	—	29	1	no	—
1046	C₂×C₄	—	29	1	no	—
1047	C₂×C₄	—	58	2	no	—
1048	C₂×C₄	—	58	2	no	—
1049	C₂×C₄	—	116	1	no	—
1050	C₂×C₄	—	116	1	no	—
1051	C₂×C₄	—	116	1	no	—
1052	C₂×C₄	—	116	1	no	—
1053	C₂×C₄	—	116	1	no	—
1054	C₂×C₄	—	116	1	no	—
1055	C₂×C₄	—	116	1	no	—
1056	C₂×C₄	—	116	1	no	—
1057	C₂×C₄	—	116	1	no	—
1058	C₂×C₄	—	116	1	no	—
1059	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1060	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1061	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1062	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1063	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1064	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1065	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1066	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1067	C₂×C₄	C₂³×D₂₉	1	1	yes	characteristic
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	4	4	no	—
1085	C₂²	—	8	2	no	—
1086	C₂²	—	29	2	no	—
1087	C₂²	—	58	1	no	—
1088	C₂²	—	58	1	no	—
1089	C₂²	—	58	1	no	—
1090	C₂²	—	58	1	no	—
1091	C₂²	—	58	1	no	—
1092	C₂²	—	58	1	no	—
1093	C₂²	—	58	1	no	—
1094	C₂²	—	58	1	no	—
1095	C₂²	—	58	1	no	—
1096	C₂²	—	58	1	no	—
1097	C₂²	—	58	1	no	—
1098	C₂²	—	58	1	no	—
1099	C₂²	—	58	1	no	—
1100	C₂²	—	58	1	no	—
1101	C₂²	—	58	1	no	—
1102	C₂²	—	58	1	no	—
1103	C₂²	—	58	1	no	—
1104	C₂²	—	58	1	no	—
1105	C₂²	—	58	1	no	—
1106	C₂²	—	58	1	no	—
1107	C₂²	—	116	4	no	—
1108	C₂²	—	116	4	no	—
1109	C₂²	—	116	4	no	—
1110	C₂²	—	116	4	no	—
1111	C₂²	—	116	4	no	—
1112	C₂²	—	116	4	no	—
1113	C₂²	—	232	2	no	—
1114	C₂²	—	232	2	no	—
1115	C₂²	—	232	2	no	—
1116	C₂²	#11745359	1	2	yes	—
1117	C₂²	#11745364	1	2	yes	—
1118	C₂²	C₂⁴×D₂₉	1	1	yes	characteristic
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	58	1	no	—
1129	C₄	—	58	1	no	—
1130	C₄	—	58	1	no	—
1131	C₄	—	58	1	no	—
1132	C₄	—	58	1	no	—
1133	C₄	—	58	1	no	—
1134	C₄	—	58	1	no	—
1135	C₄	—	58	1	no	—
1136	C₄	—	58	1	no	—
1137	C₂	—	2	2	no	—
1138	C₂	—	2	2	no	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	1	no	—
1141	C₂	—	4	1	no	—
1142	C₂	—	4	1	no	—
1143	C₂	—	58	2	no	—
1144	C₂	—	116	1	no	—
1145	C₂	—	116	1	no	—
1146	C₂	—	116	1	no	—
1147	C₂	—	116	1	no	—
1148	C₂	—	116	1	no	—
1149	C₂	—	116	1	no	—
1150	C₂	H(5,𝔽₂)×D₂₉	1	1	yes	characteristic
1151	C₂	C₂×#11745359	1	1	yes	characteristic
1152	C₂	C₂×#11745364	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₂₉
commutator, socle, cosocle	C₂²×C₂₉	C₂⁵
Fitting	C₂₉×#546	C₂
hypercenter	#546	D₂₉
hypocenter	C₂₉	#3532
LCS	G ▷ C₂²×C₂₉ ▷ C₂₉
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. #14271905	C₂	semidirect
2. #14271903	C₂	semidirect
3. #14271901	C₂	semidirect
4. #14271901	C₂	semidirect
5. #14271840	C₂	semidirect
6. #14271839	C₂	semidirect
7. #14271836	C₂	semidirect
8. #14271809	C₂	semidirect
9. #14271808	C₂	semidirect
10. #14271803	C₂	semidirect
11. #14271801	C₂	semidirect
12. #14271800	C₂	semidirect
13. #14271797	C₂	semidirect
14. D₄×C₂²⋊D₂₉	C₂	semidirect
15. #14271795	C₂	semidirect
16. #14271753	C₂	semidirect
17. #14271750	C₂	semidirect
18. #14271749	C₂	semidirect
19. #14271747	C₂	semidirect
20. #14271746	C₂	semidirect
21. #14271746	C₂	semidirect
22. #14271729	C₂	semidirect
23. #14271728	C₂	semidirect
24. #14271727	C₂	semidirect
25. #14271725	C₂	semidirect
26. #14271724	C₂	semidirect
27. #14271721	C₂	semidirect
28. C₂×#11745244	C₂	semidirect
29. C₂×#11745299	C₂	semidirect
30. #120×D₂₉	C₂	semidirect
31. C₂₉×#546	C₂	semidirect
32. C₂⁴×D₂₉	C₂²	semidirect
33. C₂×#41×C₂₉	C₂²	semidirect
34. C₂²×D₄×C₂₉	C₂²	semidirect
35. C₂²×C₂²⋊D₂₉	C₂²	semidirect
36. C₂²×C₂²⋊D₂₉	C₂²	semidirect
37. C₂²×C₂²⋊D₂₉	C₂²	semidirect
38. C₂²×C₂²⋊D₂₉	C₂²	semidirect
39. C₂×#90807	C₂²	semidirect
40. C₂×D₄×D₂₉	C₂²	semidirect
41. C₂×D₄×D₂₉	C₂²	semidirect
42. C₂×D₄×D₂₉	C₂²	semidirect
43. C₂×D₄×D₂₉	C₂²	semidirect
44. C₂×D₄×D₂₉	C₂²	semidirect
45. C₂×#90805	C₂²	semidirect
46. C₂²×D₁₁₆	C₂²	semidirect
47. C₂²×D₁₁₆	C₂²	semidirect
48. C₂₉×#124	C₂²	semidirect
49. C₂₉×#123	C₂²	semidirect
50. C₂₉×#123	C₂²	semidirect
51. C₂₉×C₂²⋊Q₈	C₂²	semidirect
52. C₂₉×#121	C₂²	semidirect
53. C₂₉×#121	C₂²	semidirect
54. C₂₉×#121	C₂²	semidirect
55. C₂₉×#120	C₂²	semidirect
56. C₂₉×#120	C₂²	semidirect
57. C₄×D₄×C₂₉	C₂²	semidirect
58. C₄×D₄×C₂₉	C₂²	semidirect
59. C₂×C₂²⋊C₄×C₂₉	C₂²	semidirect
60. C₂×C₂²⋊C₄×C₂₉	C₂²	semidirect
62. #11745315	C₂²	semidirect
63. C₂×C₂²⋊Dic₂₉	C₂²	semidirect
64. #11745309	C₂²	semidirect
65. #11745309	C₂²	semidirect
66. #11745309	C₂²	semidirect
67. #11745308	C₂²	semidirect
68. #11745302	C₂²	semidirect
69. #11745302	C₂²	semidirect
70. #11745302	C₂²	semidirect
71. #11745302	C₂²	semidirect
72. #11745301	C₂²	semidirect
73. #11745301	C₂²	semidirect
74. #11745301	C₂²	semidirect
75. #11745301	C₂²	semidirect
76. #11745301	C₂²	semidirect
77. #11745301	C₂²	semidirect
78. #11745301	C₂²	semidirect
79. #11745300	C₂²	semidirect
80. #11745300	C₂²	semidirect
82. #11745299	C₂²	semidirect
83. #11745299	C₂²	semidirect
84. #11745299	C₂²	semidirect
85. #11745299	C₂²	semidirect
86. #11745299	C₂²	semidirect
87. #11745299	C₂²	semidirect
88. #11745299	C₂²	semidirect
89. #11745299	C₂²	semidirect
90. #11745299	C₂²	semidirect
91. #11745299	C₂²	semidirect
92. #11745299	C₂²	semidirect
93. #11745299	C₂²	semidirect
94. #11745299	C₂²	semidirect
95. #11745299	C₂²	semidirect
96. D₄×Dic₂₉	C₂²	semidirect
97. D₄×Dic₂₉	C₂²	semidirect
98. #11745292	C₂²	semidirect
99. #11745292	C₂²	semidirect
100. #11745292	C₂²	semidirect
101. #11745292	C₂²	semidirect
102. #11745292	C₂²	semidirect
103. #11745292	C₂²	semidirect
104. #11745292	C₂²	semidirect
105. #11745292	C₂²	semidirect
106. #11745291	C₂²	semidirect
107. #11745291	C₂²	semidirect
108. #11745291	C₂²	semidirect
109. C₄×C₂²⋊D₂₉	C₂²	semidirect
110. C₄×C₂²⋊D₂₉	C₂²	semidirect
111. C₄×C₂²⋊D₂₉	C₂²	semidirect
112. C₂×#90781	C₂²	semidirect
113. C₂×#90781	C₂²	semidirect
114. C₂×#90781	C₂²	semidirect
115. C₂×#90781	C₂²	semidirect
116. C₂×#90781	C₂²	semidirect
117. #11745288	C₂²	semidirect
118. #11745286	C₂²	semidirect
119. #11745260	C₂²	semidirect
120. #11745260	C₂²	semidirect
121. #11745260	C₂²	semidirect
122. #11745260	C₂²	semidirect
123. #11745260	C₂²	semidirect
124. #11745259	C₂²	semidirect
125. #11745257	C₂²	semidirect
126. #11745257	C₂²	semidirect
127. #11745257	C₂²	semidirect
128. #11745256	C₂²	semidirect
129. #11745256	C₂²	semidirect
130. #11745256	C₂²	semidirect
131. #11745256	C₂²	semidirect
132. #11745256	C₂²	semidirect
133. #11745255	C₂²	semidirect
134. #11745254	C₂²	semidirect
135. #11745248	C₂²	semidirect
136. #11745248	C₂²	semidirect
137. #11745248	C₂²	semidirect
138. #11745248	C₂²	semidirect
139. #11745248	C₂²	semidirect
140. #11745247	C₂²	semidirect
141. #11745247	C₂²	semidirect
142. #11745247	C₂²	semidirect
143. #11745247	C₂²	semidirect
144. #11745247	C₂²	semidirect
145. #11745247	C₂²	semidirect
146. #11745246	C₂²	semidirect
147. #11745246	C₂²	semidirect
148. #11745246	C₂²	semidirect
149. #11745246	C₂²	semidirect
150. #11745246	C₂²	semidirect
151. #11745246	C₂²	semidirect
152. #11745246	C₂²	semidirect
153. #11745245	C₂²	semidirect
154. #11745245	C₂²	semidirect
155. #11745245	C₂²	semidirect
157. #11745244	C₂²	semidirect
158. #11745244	C₂²	semidirect
159. #11745244	C₂²	semidirect
160. #11745244	C₂²	semidirect
161. #11745244	C₂²	semidirect
162. #11745244	C₂²	semidirect
163. #11745244	C₂²	semidirect
164. #11745244	C₂²	semidirect
165. #11745244	C₂²	semidirect
166. #11745244	C₂²	semidirect
167. #11745244	C₂²	semidirect
168. #11745244	C₂²	semidirect
169. #11745244	C₂²	semidirect
170. #11745244	C₂²	semidirect
171. #11745243	C₂²	semidirect
172. #11745243	C₂²	semidirect
173. #11745243	C₂²	semidirect
174. C₂²⋊C₄×D₂₉	C₂²	semidirect
175. C₂²⋊C₄×D₂₉	C₂²	semidirect
176. C₂²⋊C₄×D₂₉	C₂²	semidirect
177. C₂²⋊C₄×D₂₉	C₂²	semidirect
178. #11745241	C₂²	semidirect
179. #11745241	C₂²	semidirect
180. #11745240	C₂²	semidirect
181. #11745240	C₂²	semidirect
182. #11745239	C₂²	semidirect
183. #11745238	C₂²	semidirect
184. #11745237	C₂²	semidirect
185. #11745237	C₂²	semidirect
186. C₄×D₁₁₆	C₂²	semidirect
200. C₂³×D₂₉	C₂³	semidirect
202. C₂×Q₈×C₂₉	C₂³	semidirect
211. C₂×D₄×C₂₉	C₂³	semidirect
212. C₂×D₄×C₂₉	C₂³	semidirect
216. C₂²×C₄×C₂₉	C₂³	semidirect
217. C₂²×C₄×C₂₉	C₂³	semidirect
218. C₂²×C₄×C₂₉	C₂³	semidirect
241. C₂×C₂²⋊D₂₉	C₂³	semidirect
242. C₂×C₂²⋊D₂₉	C₂³	semidirect
243. C₂×C₂²⋊D₂₉	C₂³	semidirect
244. C₂×C₂²⋊D₂₉	C₂³	semidirect
245. C₂×C₂²⋊D₂₉	C₂³	semidirect
246. C₂×C₂²⋊D₂₉	C₂³	semidirect
250. C₂²×Dic₂₉	C₂³	semidirect
251. C₂²×Dic₂₉	C₂³	semidirect
272. C₂×D₁₁₆	C₂³	semidirect
276. C₂×C₄×D₂₉	C₂³	semidirect
277. C₂×C₄×D₂₉	C₂³	semidirect
278. C₂×C₄×D₂₉	C₂³	semidirect
279. C₂×C₄×D₂₉	C₂³	semidirect
280. C₂×Dic₅₈	C₂³	semidirect
281. C₂×Dic₅₈	C₂³	semidirect
282. C₄⋊C₄×C₂₉	C₂³	semidirect
283. C₄⋊C₄×C₂₉	C₂³	semidirect
284. C₄⋊C₄×C₂₉	C₂³	semidirect
285. C₄⋊C₄×C₂₉	C₂³	semidirect
293. C₂²⋊C₄×C₂₉	C₂³	semidirect
294. C₂²⋊C₄×C₂₉	C₂³	semidirect
295. C₂²⋊C₄×C₂₉	C₂³	semidirect
296. C₂²⋊C₄×C₂₉	C₂³	semidirect
297. C₂²⋊C₄×C₂₉	C₂³	semidirect
298. C₄²×C₂₉	C₂³	semidirect
306. C₂²⋊Dic₂₉	C₂³	semidirect
307. C₂²⋊Dic₂₉	C₂³	semidirect
308. C₂²⋊Dic₂₉	C₂³	semidirect
331. #90781	C₂³	semidirect
332. #90781	C₂³	semidirect
333. #90781	C₂³	semidirect
334. #90781	C₂³	semidirect
335. #90781	C₂³	semidirect
336. #90781	C₂³	semidirect
337. #90781	C₂³	semidirect
338. #90781	C₂³	semidirect
339. #90781	C₂³	semidirect
340. #90781	C₂³	semidirect
341. C₄⋊Dic₂₉	C₂³	semidirect
342. C₄⋊Dic₂₉	C₂³	semidirect
343. C₄⋊Dic₂₉	C₂³	semidirect
344. C₄⋊Dic₂₉	C₂³	semidirect
345. C₄⋊Dic₂₉	C₂³	semidirect
346. C₄⋊Dic₂₉	C₂³	semidirect
347. #90779	C₂³	semidirect
348. #90779	C₂³	semidirect
349. #90779	C₂³	semidirect
350. #90779	C₂³	semidirect
351. #90779	C₂³	semidirect
352. #90779	C₂³	semidirect
353. #90779	C₂³	semidirect
354. #90779	C₂³	semidirect
355. C₄×Dic₂₉	C₂³	semidirect
356. C₄×Dic₂₉	C₂³	semidirect
357. C₄×Dic₂₉	C₂³	semidirect
358. C₄×Dic₂₉	C₂³	semidirect
359. C₄×Dic₂₉	C₂³	semidirect
573. #546	D₂₉	semidirect
611. C₂×#41	C₂×D₂₉	semidirect
623. C₂²×D₄	C₂×D₂₉	semidirect
647. #124	C₂×D₂₉	semidirect
664. #123	C₂×D₂₉	semidirect
665. #123	C₂×D₂₉	semidirect
671. C₂²⋊Q₈	C₂×D₂₉	semidirect
699. #121	C₂×D₂₉	semidirect
700. #121	C₂×D₂₉	semidirect
701. #121	C₂×D₂₉	semidirect
734. #120	C₂×D₂₉	semidirect
735. #120	C₂×D₂₉	semidirect
746. C₄×D₄	C₂×D₂₉	semidirect
747. C₄×D₄	C₂×D₂₉	semidirect
761. C₂×C₂²⋊C₄	C₂×D₂₉	semidirect
762. C₂×C₂²⋊C₄	C₂×D₂₉	semidirect
763. C₂₉	#3532	semidirect
783. C₂×Q₈	C₂²×D₂₉	semidirect
839. C₂×D₄	C₂²×D₂₉	semidirect
840. C₂×D₄	C₂²×D₂₉	semidirect
856. C₂²×C₄	C₂²×D₂₉	semidirect
857. C₂²×C₄	C₂²×D₂₉	semidirect
858. C₂²×C₄	C₂²×D₂₉	semidirect
873. C₄⋊C₄	C₂²×D₂₉	semidirect
874. C₄⋊C₄	C₂²×D₂₉	semidirect
875. C₄⋊C₄	C₂²×D₂₉	semidirect
876. C₄⋊C₄	C₂²×D₂₉	semidirect
926. C₂²⋊C₄	C₂²×D₂₉	semidirect
927. C₂²⋊C₄	C₂²×D₂₉	semidirect
928. C₂²⋊C₄	C₂²×D₂₉	semidirect
929. C₂²⋊C₄	C₂²×D₂₉	semidirect
930. C₂²⋊C₄	C₂²×D₂₉	semidirect
936. C₄²	C₂²×D₂₉	semidirect

Maximal subgroups

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

subgroup	index
#14271905	2
#14271903	2
#14271901	2
#14271840	2
#14271839	2
#14271836	2
#14271809	2
#14271808	2
#14271803	2
#14271801	2
#14271800	2
#14271797	2
D₄×C₂²⋊D₂₉	2
#14271795	2
#14271753	2
#14271750	2
#14271749	2
#14271747	2
#14271746	2
#14271729	2
#14271728	2
#14271727	2
#14271725	2
#14271724	2
#14271721	2
C₂×#11745244	2
C₂×#11745299	2
#120×D₂₉	2
C₂₉×#546	2
#3532	29