Subgroups — C₅₉×#35765 #28447874

Order 15104.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#2653	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#2649	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2626	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2576	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2572	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2561	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2558	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2553	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2526	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#2518	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#2518	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#2516	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#2493	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#2483	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#2480	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2470	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2466	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#2460	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#2458	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#2442	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2405	C₂	1	1	yes	maximal, characteristic
22	C₅₉×#2398	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2395	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅₉×#394	C₂	1	1	yes	maximal, characteristic
25	C₅₉×#2360	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
30	D₄×C₂²⋊C₄×C₅₉	C₂	1	1	yes	maximal, characteristic
31	C₅₉×#2273	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
33	C₂×#126×C₅₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#125×C₅₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
36	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
41	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
42	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
46	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
50	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
51	C₅₉×#401	C₂²	1	1	yes	characteristic, complemented
52	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
53	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
54	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
55	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
56	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
57	C₅₉×#399	C₂²	1	1	yes	characteristic, complemented
58	C₅₉×#399	C₂²	1	1	yes	characteristic, complemented
59	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
60	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
61	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
62	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
63	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
64	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
65	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
66	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
67	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
68	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
70	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
71	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
73	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
74	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#394	C₂²	1	1	yes	characteristic
76	C₅₉×#394	C₂²	1	1	yes	characteristic
77	C₅₉×#394	C₂²	1	1	yes	characteristic
78	C₅₉×#394	C₂²	1	1	yes	characteristic
79	C₅₉×#394	C₂²	1	1	yes	characteristic
80	C₅₉×#394	C₂²	1	1	yes	characteristic
81	C₅₉×#394	C₂²	1	1	yes	characteristic
82	C₅₉×#394	C₂²	1	1	yes	characteristic
83	C₅₉×#394	C₂²	1	1	yes	characteristic
84	C₅₉×#394	C₂²	1	1	yes	characteristic
85	C₅₉×#394	C₂²	1	1	yes	characteristic
86	C₅₉×#394	C₂²	1	1	yes	characteristic
87	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
88	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
90	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
91	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
92	C₅₉×#390	C₂²	1	1	yes	characteristic
93	C₅₉×#390	C₂²	1	1	yes	characteristic
94	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
95	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
96	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
97	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
98	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
99	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
100	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
101	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
102	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
103	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
104	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
105	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
106	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
107	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
109	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
110	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
111	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
112	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
115	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
117	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
118	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
119	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
120	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
121	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
122	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
123	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
124	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
125	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
126	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
127	C₅₉×#386	C₂²	1	1	yes	characteristic
128	C₅₉×#386	C₂²	1	1	yes	characteristic
129	C₅₉×#386	C₂²	1	1	yes	characteristic
130	C₅₉×#386	C₂²	1	1	yes	characteristic
131	C₅₉×#386	C₂²	1	1	yes	characteristic
132	C₅₉×#386	C₂²	1	1	yes	characteristic
133	C₅₉×#385	C₂²	1	1	yes	characteristic
134	C₅₉×#385	C₂²	1	1	yes	characteristic
135	C₅₉×#385	C₂²	1	1	yes	characteristic
136	C₅₉×#385	C₂²	1	1	yes	characteristic
137	C₅₉×#385	C₂²	1	1	yes	characteristic
138	C₅₉×#385	C₂²	1	1	yes	characteristic
139	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
140	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
141	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
142	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
143	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
144	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
145	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
146	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
147	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
148	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
149	C₅₉×#381	C₂²	1	1	yes	characteristic
150	C₅₉×#381	C₂²	1	1	yes	characteristic
151	C₅₉×#381	C₂²	1	1	yes	characteristic
152	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
153	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
154	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
155	C₅₉×#380	C₂²	1	1	yes	characteristic
156	C₅₉×#380	C₂²	1	1	yes	characteristic
157	C₅₉×#380	C₂²	1	1	yes	characteristic
158	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
159	C₅₉×#379	C₂²	1	1	yes	characteristic
160	C₅₉×#379	C₂²	1	1	yes	characteristic
161	C₅₉×#379	C₂²	1	1	yes	characteristic
162	C₅₉×#379	C₂²	1	1	yes	characteristic
163	C₅₉×#379	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
185	C₅₉×#376	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₅₉	C₂²	1	1	yes	characteristic
187	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
188	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₅₉	—	2	4	no	—
191	C₂²×D₄×C₅₉	—	4	2	no	—
192	C₂²×D₄×C₅₉	—	4	2	no	—
193	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
208	#126×C₅₉	—	4	2	no	—
209	#125×C₅₉	—	4	2	no	—
210	#123×C₅₉	—	4	2	no	—
211	#123×C₅₉	—	4	2	no	—
212	C₂²⋊Q₈×C₅₉	—	2	4	no	—
213	C₄×Q₈×C₅₉	—	4	2	no	—
214	C₄×D₄×C₅₉	—	4	2	no	—
215	C₄×D₄×C₅₉	—	4	2	no	—
216	#117×C₅₉	—	2	4	no	—
217	#117×C₅₉	—	4	2	no	—
218	C₂×C₄⋊C₄×C₅₉	—	4	2	no	—
219	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
247	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
248	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
249	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
250	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
251	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
252	C₂×C₂²⋊C₄×C₅₉	—	4	2	no	—
253	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
317	#95×C₅₉	C₂³	1	1	yes	characteristic
318	#95×C₅₉	C₂³	1	1	yes	characteristic
319	#95×C₅₉	C₂³	1	1	yes	characteristic
320	#95×C₅₉	C₂³	1	1	yes	characteristic
321	#95×C₅₉	C₂³	1	1	yes	characteristic
322	#95×C₅₉	C₂³	1	1	yes	characteristic
323	#95×C₅₉	C₂³	1	1	yes	characteristic
324	#95×C₅₉	C₂³	1	1	yes	characteristic
325	#95×C₅₉	C₂³	1	1	yes	characteristic
326	#95×C₅₉	C₂³	1	1	yes	characteristic
327	#95×C₅₉	C₂³	1	1	yes	characteristic
328	#95×C₅₉	C₂³	1	1	yes	characteristic
329	#95×C₅₉	C₂³	1	1	yes	characteristic
330	#95×C₅₉	C₂³	1	1	yes	characteristic
331	#95×C₅₉	C₂³	1	1	yes	characteristic
332	#95×C₅₉	C₂³	1	1	yes	characteristic
333	#95×C₅₉	C₂³	1	1	yes	characteristic
334	#95×C₅₉	C₂³	1	1	yes	characteristic
335	#95×C₅₉	C₂³	1	1	yes	characteristic
336	#95×C₅₉	C₂³	1	1	yes	characteristic
337	#95×C₅₉	C₂³	1	1	yes	characteristic
338	#95×C₅₉	C₂³	1	1	yes	characteristic
339	#95×C₅₉	C₂³	1	1	yes	characteristic
340	#95×C₅₉	C₂³	1	1	yes	characteristic
341	#95×C₅₉	C₂³	1	1	yes	characteristic
342	#95×C₅₉	C₂³	1	1	yes	characteristic
343	#95×C₅₉	C₂³	1	1	yes	characteristic
344	#95×C₅₉	C₂³	1	1	yes	characteristic
345	#95×C₅₉	C₂³	1	1	yes	characteristic
346	#95×C₅₉	C₂³	1	1	yes	characteristic
347	#95×C₅₉	C₂³	1	1	yes	characteristic
348	#95×C₅₉	C₂³	1	1	yes	characteristic
349	#95×C₅₉	C₂³	1	1	yes	characteristic
350	#95×C₅₉	C₂³	1	1	yes	characteristic
351	#95×C₅₉	C₂³	1	1	yes	characteristic
352	#95×C₅₉	C₂³	1	1	yes	characteristic
353	#95×C₅₉	C₂³	1	1	yes	characteristic
354	#95×C₅₉	C₂³	1	1	yes	characteristic
355	#95×C₅₉	C₂³	1	1	yes	characteristic
356	#95×C₅₉	C₂³	1	1	yes	characteristic
357	#95×C₅₉	C₂³	1	1	yes	characteristic
358	#95×C₅₉	C₂³	1	1	yes	characteristic
359	#95×C₅₉	C₂³	1	1	yes	characteristic
360	#95×C₅₉	C₂³	1	1	yes	characteristic
361	#95×C₅₉	C₂³	1	1	yes	characteristic
362	#95×C₅₉	C₂³	1	1	yes	characteristic
363	C₂⁴×C₅₉	—	2	2	no	—
364	C₂⁴×C₅₉	—	2	2	no	—
365	C₂⁴×C₅₉	—	2	2	no	—
366	C₂⁴×C₅₉	—	2	2	no	—
367	C₂⁴×C₅₉	—	2	2	no	—
368	C₂⁴×C₅₉	—	2	2	no	—
369	C₂⁴×C₅₉	—	4	1	no	—
370	C₂⁴×C₅₉	—	4	1	no	—
371	C₂⁴×C₅₉	—	4	1	no	—
372	C₂⁴×C₅₉	—	4	1	no	—
373	C₂⁴×C₅₉	—	4	1	no	—
374	C₂⁴×C₅₉	—	4	1	no	—
375	C₂⁴×C₅₉	—	4	1	no	—
376	C₂⁴×C₅₉	#41	1	4	yes	—
377	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₅₉	—	2	2	no	—
383	C₂×Q₈×C₅₉	—	4	1	no	—
384	C₂×Q₈×C₅₉	—	4	1	no	—
385	C₂×D₄×C₅₉	—	2	2	no	—
386	C₂×D₄×C₅₉	—	2	2	no	—
387	C₂×D₄×C₅₉	—	2	2	no	—
388	C₂×D₄×C₅₉	—	2	2	no	—
389	C₂×D₄×C₅₉	—	2	2	no	—
390	C₂×D₄×C₅₉	—	2	2	no	—
391	C₂×D₄×C₅₉	—	2	2	no	—
392	C₂×D₄×C₅₉	—	2	2	no	—
393	C₂×D₄×C₅₉	—	4	1	no	—
394	C₂×D₄×C₅₉	—	4	1	no	—
395	C₂×D₄×C₅₉	—	4	1	no	—
396	C₂×D₄×C₅₉	—	4	1	no	—
397	C₂×D₄×C₅₉	—	4	16	no	—
398	C₂²×C₄×C₅₉	—	2	2	no	—
399	C₂²×C₄×C₅₉	—	2	2	no	—
400	C₂²×C₄×C₅₉	—	2	2	no	—
401	C₂²×C₄×C₅₉	—	2	2	no	—
402	C₂²×C₄×C₅₉	—	2	2	no	—
403	C₂²×C₄×C₅₉	—	2	2	no	—
404	C₂²×C₄×C₅₉	—	2	2	no	—
405	C₂²×C₄×C₅₉	—	2	2	no	—
406	C₂²×C₄×C₅₉	—	2	2	no	—
407	C₂²×C₄×C₅₉	—	2	2	no	—
408	C₂²×C₄×C₅₉	—	2	2	no	—
409	C₂²×C₄×C₅₉	—	2	2	no	—
410	C₂²×C₄×C₅₉	—	2	2	no	—
411	C₂²×C₄×C₅₉	—	2	2	no	—
412	C₂²×C₄×C₅₉	—	4	1	no	—
413	C₂²×C₄×C₅₉	—	4	1	no	—
414	C₂²×C₄×C₅₉	—	4	1	no	—
415	C₂²×C₄×C₅₉	—	4	1	no	—
416	C₂²×C₄×C₅₉	—	4	1	no	—
417	C₂²×C₄×C₅₉	—	4	1	no	—
418	C₂²×C₄×C₅₉	—	4	1	no	—
419	C₂²×C₄×C₅₉	—	4	1	no	—
420	C₂²×C₄×C₅₉	—	4	1	no	—
421	C₂²×C₄×C₅₉	—	4	1	no	—
422	C₂²×C₄×C₅₉	—	4	1	no	—
423	C₂²×C₄×C₅₉	—	4	1	no	—
424	C₂²×C₄×C₅₉	—	4	1	no	—
425	C₂²×C₄×C₅₉	—	4	1	no	—
426	C₂²×C₄×C₅₉	—	4	1	no	—
427	C₂²×C₄×C₅₉	—	4	1	no	—
428	C₂²×C₄×C₅₉	—	4	1	no	—
429	C₂²×C₄×C₅₉	—	4	1	no	—
430	C₂²×C₄×C₅₉	#41	1	4	yes	—
431	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
457	C₄⋊C₄×C₅₉	—	2	2	no	—
458	C₄⋊C₄×C₅₉	—	2	2	no	—
459	C₄⋊C₄×C₅₉	—	2	2	no	—
460	C₄⋊C₄×C₅₉	—	2	2	no	—
461	C₄⋊C₄×C₅₉	—	2	2	no	—
462	C₄⋊C₄×C₅₉	—	2	2	no	—
463	C₄⋊C₄×C₅₉	—	2	2	no	—
464	C₄⋊C₄×C₅₉	—	2	2	no	—
465	C₄⋊C₄×C₅₉	—	2	2	no	—
466	C₄⋊C₄×C₅₉	—	2	2	no	—
467	C₄⋊C₄×C₅₉	—	4	1	no	—
468	C₄⋊C₄×C₅₉	—	4	1	no	—
469	C₄⋊C₄×C₅₉	—	4	1	no	—
470	C₄⋊C₄×C₅₉	—	4	1	no	—
471	C₄⋊C₄×C₅₉	—	4	1	no	—
472	C₄⋊C₄×C₅₉	—	4	1	no	—
473	C₄⋊C₄×C₅₉	—	4	1	no	—
474	C₄⋊C₄×C₅₉	—	4	1	no	—
475	C₄⋊C₄×C₅₉	—	4	1	no	—
476	C₄⋊C₄×C₅₉	—	4	1	no	—
477	C₄⋊C₄×C₅₉	—	4	1	no	—
478	C₄⋊C₄×C₅₉	—	4	1	no	—
479	C₄⋊C₄×C₅₉	—	4	1	no	—
480	C₄⋊C₄×C₅₉	—	4	1	no	—
481	C₄⋊C₄×C₅₉	—	4	1	no	—
482	C₄⋊C₄×C₅₉	—	4	1	no	—
483	C₄⋊C₄×C₅₉	—	4	1	no	—
484	C₂²⋊C₄×C₅₉	—	2	2	no	—
485	C₂²⋊C₄×C₅₉	—	2	2	no	—
486	C₂²⋊C₄×C₅₉	—	2	2	no	—
487	C₂²⋊C₄×C₅₉	—	2	2	no	—
488	C₂²⋊C₄×C₅₉	—	2	2	no	—
489	C₂²⋊C₄×C₅₉	—	2	2	no	—
490	C₂²⋊C₄×C₅₉	—	2	2	no	—
491	C₂²⋊C₄×C₅₉	—	2	2	no	—
492	C₂²⋊C₄×C₅₉	—	2	2	no	—
493	C₂²⋊C₄×C₅₉	—	2	2	no	—
494	C₂²⋊C₄×C₅₉	—	2	2	no	—
495	C₂²⋊C₄×C₅₉	—	2	2	no	—
496	C₂²⋊C₄×C₅₉	—	2	2	no	—
497	C₂²⋊C₄×C₅₉	—	2	2	no	—
498	C₂²⋊C₄×C₅₉	—	2	2	no	—
499	C₂²⋊C₄×C₅₉	—	2	2	no	—
500	C₂²⋊C₄×C₅₉	—	2	2	no	—
501	C₂²⋊C₄×C₅₉	—	2	2	no	—
502	C₂²⋊C₄×C₅₉	—	2	2	no	—
503	C₂²⋊C₄×C₅₉	—	2	2	no	—
504	C₂²⋊C₄×C₅₉	—	2	2	no	—
505	C₂²⋊C₄×C₅₉	—	2	2	no	—
506	C₂²⋊C₄×C₅₉	—	2	2	no	—
507	C₂²⋊C₄×C₅₉	—	2	2	no	—
508	C₂²⋊C₄×C₅₉	—	2	2	no	—
509	C₂²⋊C₄×C₅₉	—	2	2	no	—
510	C₂²⋊C₄×C₅₉	—	2	2	no	—
511	C₂²⋊C₄×C₅₉	—	2	2	no	—
512	C₂²⋊C₄×C₅₉	—	2	2	no	—
513	C₂²⋊C₄×C₅₉	—	2	2	no	—
514	C₂²⋊C₄×C₅₉	—	4	1	no	—
515	C₂²⋊C₄×C₅₉	—	4	1	no	—
516	C₂²⋊C₄×C₅₉	—	4	1	no	—
517	C₂²⋊C₄×C₅₉	—	4	1	no	—
518	C₂²⋊C₄×C₅₉	—	4	1	no	—
519	C₂²⋊C₄×C₅₉	—	4	1	no	—
520	C₂²⋊C₄×C₅₉	—	4	1	no	—
521	C₂²⋊C₄×C₅₉	—	4	1	no	—
522	C₂²⋊C₄×C₅₉	—	4	1	no	—
523	C₂²⋊C₄×C₅₉	—	4	1	no	—
524	C₂²⋊C₄×C₅₉	—	4	1	no	—
525	C₂²⋊C₄×C₅₉	—	4	1	no	—
526	C₂²⋊C₄×C₅₉	—	4	1	no	—
527	C₂²⋊C₄×C₅₉	—	4	1	no	—
528	C₂²⋊C₄×C₅₉	—	4	1	no	—
529	C₂²⋊C₄×C₅₉	—	4	1	no	—
530	C₂²⋊C₄×C₅₉	—	4	1	no	—
531	C₂²⋊C₄×C₅₉	—	4	1	no	—
532	C₂²⋊C₄×C₅₉	—	4	1	no	—
533	C₂²⋊C₄×C₅₉	#41	1	4	yes	—
534	C₄²×C₅₉	—	2	2	no	—
535	C₄²×C₅₉	—	2	2	no	—
536	C₄²×C₅₉	—	2	2	no	—
537	C₄²×C₅₉	—	4	1	no	—
538	C₄²×C₅₉	—	4	1	no	—
539	C₄²×C₅₉	—	4	1	no	—
540	C₄²×C₅₉	—	4	1	no	—
541	C₄²×C₅₉	—	4	1	no	—
542	C₄²×C₅₉	—	4	1	no	—
543	C₄²×C₅₉	—	4	1	no	—
544	C₄²×C₅₉	—	4	1	no	—
545	C₄²×C₅₉	—	4	1	no	—
546	C₄²×C₅₉	—	4	1	no	—
547	C₄²×C₅₉	—	4	1	no	—
548	C₂³×C₅₉	—	2	1	no	—
549	C₂³×C₅₉	—	2	1	no	—
550	C₂³×C₅₉	—	2	1	no	—
551	C₂³×C₅₉	—	2	1	no	—
552	C₂³×C₅₉	—	2	1	no	—
553	C₂³×C₅₉	—	2	1	no	—
554	C₂³×C₅₉	—	2	1	no	—
555	C₂³×C₅₉	—	2	1	no	—
556	C₂³×C₅₉	—	2	1	no	—
557	C₂³×C₅₉	—	2	1	no	—
558	C₂³×C₅₉	—	2	1	no	—
559	C₂³×C₅₉	—	2	1	no	—
560	C₂³×C₅₉	—	2	1	no	—
561	C₂³×C₅₉	—	2	1	no	—
562	C₂³×C₅₉	—	2	1	no	—
563	C₂³×C₅₉	—	2	1	no	—
564	C₂³×C₅₉	—	2	1	no	—
565	C₂³×C₅₉	—	2	1	no	—
566	C₂³×C₅₉	—	2	1	no	—
567	C₂³×C₅₉	—	2	1	no	—
568	C₂³×C₅₉	—	2	1	no	—
569	C₂³×C₅₉	—	2	1	no	—
570	C₂³×C₅₉	—	2	8	no	—
571	C₂³×C₅₉	—	2	1	no	—
572	C₂³×C₅₉	—	2	1	no	—
573	C₂³×C₅₉	—	2	1	no	—
574	C₂³×C₅₉	—	2	1	no	—
575	C₂³×C₅₉	—	2	1	no	—
576	C₂³×C₅₉	—	2	1	no	—
577	C₂³×C₅₉	—	2	1	no	—
578	C₂³×C₅₉	—	4	4	no	—
579	C₂³×C₅₉	—	4	4	no	—
580	C₂³×C₅₉	—	4	4	no	—
581	C₂³×C₅₉	—	4	4	no	—
582	C₂³×C₅₉	—	4	4	no	—
583	C₂³×C₅₉	—	4	4	no	—
584	C₂³×C₅₉	—	8	2	no	—
585	C₂³×C₅₉	—	8	2	no	—
586	C₂³×C₅₉	—	8	2	no	—
587	C₂³×C₅₉	—	8	2	no	—
588	C₂³×C₅₉	—	8	2	no	—
589	C₂³×C₅₉	—	8	2	no	—
590	C₂³×C₅₉	—	8	2	no	—
591	C₂³×C₅₉	C₂×#41	1	2	yes	—
592	C₂³×C₅₉	C₂×#41	1	2	yes	—
593	C₂³×C₅₉	C₂×#41	1	2	yes	—
594	C₂³×C₅₉	C₂×#41	1	2	yes	—
595	C₂³×C₅₉	C₂×#41	1	2	yes	—
596	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
597	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
598	Q₈×C₅₉	—	4	4	no	—
599	D₄×C₅₉	—	2	8	no	—
600	D₄×C₅₉	—	4	4	no	—
601	D₄×C₅₉	—	4	4	no	—
602	D₄×C₅₉	—	4	4	no	—
603	C₂×C₄×C₅₉	—	2	1	no	—
604	C₂×C₄×C₅₉	—	2	1	no	—
605	C₂×C₄×C₅₉	—	2	1	no	—
606	C₂×C₄×C₅₉	—	2	1	no	—
607	C₂×C₄×C₅₉	—	2	1	no	—
608	C₂×C₄×C₅₉	—	2	1	no	—
609	C₂×C₄×C₅₉	—	2	1	no	—
610	C₂×C₄×C₅₉	—	2	1	no	—
611	C₂×C₄×C₅₉	—	2	1	no	—
612	C₂×C₄×C₅₉	—	2	1	no	—
613	C₂×C₄×C₅₉	—	2	1	no	—
614	C₂×C₄×C₅₉	—	2	1	no	—
615	C₂×C₄×C₅₉	—	2	1	no	—
616	C₂×C₄×C₅₉	—	2	1	no	—
617	C₂×C₄×C₅₉	—	2	1	no	—
618	C₂×C₄×C₅₉	—	2	1	no	—
619	C₂×C₄×C₅₉	—	2	1	no	—
620	C₂×C₄×C₅₉	—	2	1	no	—
621	C₂×C₄×C₅₉	—	2	1	no	—
622	C₂×C₄×C₅₉	—	2	1	no	—
623	C₂×C₄×C₅₉	—	2	1	no	—
624	C₂×C₄×C₅₉	—	2	1	no	—
625	C₂×C₄×C₅₉	—	2	1	no	—
626	C₂×C₄×C₅₉	—	2	1	no	—
627	C₂×C₄×C₅₉	—	2	1	no	—
628	C₂×C₄×C₅₉	—	2	1	no	—
629	C₂×C₄×C₅₉	—	2	1	no	—
630	C₂×C₄×C₅₉	—	2	1	no	—
631	C₂×C₄×C₅₉	—	2	1	no	—
632	C₂×C₄×C₅₉	—	2	1	no	—
633	C₂×C₄×C₅₉	—	2	1	no	—
634	C₂×C₄×C₅₉	—	2	1	no	—
635	C₂×C₄×C₅₉	—	2	1	no	—
636	C₂×C₄×C₅₉	—	2	1	no	—
637	C₂×C₄×C₅₉	—	2	1	no	—
638	C₂×C₄×C₅₉	—	2	1	no	—
639	C₂×C₄×C₅₉	—	2	1	no	—
640	C₂×C₄×C₅₉	—	2	1	no	—
641	C₂×C₄×C₅₉	—	2	1	no	—
642	C₂×C₄×C₅₉	—	2	1	no	—
643	C₂×C₄×C₅₉	—	2	1	no	—
644	C₂×C₄×C₅₉	—	2	1	no	—
645	C₂×C₄×C₅₉	—	2	1	no	—
646	C₂×C₄×C₅₉	—	2	1	no	—
647	C₂×C₄×C₅₉	—	2	1	no	—
648	C₂×C₄×C₅₉	—	2	1	no	—
649	C₂×C₄×C₅₉	—	2	1	no	—
650	C₂×C₄×C₅₉	—	2	1	no	—
651	C₂×C₄×C₅₉	—	2	1	no	—
652	C₂×C₄×C₅₉	—	2	1	no	—
653	C₂×C₄×C₅₉	—	2	1	no	—
654	C₂×C₄×C₅₉	—	2	1	no	—
655	C₂×C₄×C₅₉	—	2	1	no	—
656	C₂×C₄×C₅₉	—	2	1	no	—
657	C₂×C₄×C₅₉	—	2	1	no	—
658	C₂×C₄×C₅₉	—	2	1	no	—
659	C₂×C₄×C₅₉	—	2	1	no	—
660	C₂×C₄×C₅₉	—	2	1	no	—
661	C₂×C₄×C₅₉	—	2	1	no	—
662	C₂×C₄×C₅₉	—	2	1	no	—
663	C₂×C₄×C₅₉	—	2	1	no	—
664	C₂×C₄×C₅₉	—	2	1	no	—
665	C₂×C₄×C₅₉	—	2	1	no	—
666	C₂×C₄×C₅₉	—	2	1	no	—
667	C₂×C₄×C₅₉	—	2	1	no	—
668	C₂×C₄×C₅₉	—	2	1	no	—
669	C₂×C₄×C₅₉	—	2	1	no	—
670	C₂×C₄×C₅₉	—	2	1	no	—
671	C₂×C₄×C₅₉	—	2	1	no	—
672	C₂×C₄×C₅₉	—	2	1	no	—
673	C₂×C₄×C₅₉	—	2	1	no	—
674	C₂×C₄×C₅₉	—	2	1	no	—
675	C₂×C₄×C₅₉	—	2	1	no	—
676	C₂×C₄×C₅₉	—	4	4	no	—
677	C₂×C₄×C₅₉	—	4	4	no	—
678	C₂×C₄×C₅₉	—	4	4	no	—
679	C₂×C₄×C₅₉	—	4	4	no	—
680	C₂×C₄×C₅₉	—	8	2	no	—
681	C₂×C₄×C₅₉	—	8	2	no	—
682	C₂×C₄×C₅₉	—	8	2	no	—
683	C₂×C₄×C₅₉	—	8	2	no	—
684	C₂×C₄×C₅₉	—	8	2	no	—
685	C₂×C₄×C₅₉	—	8	2	no	—
686	C₂×C₄×C₅₉	—	8	2	no	—
687	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
688	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
689	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
690	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
691	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
692	#35765	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
693	C₂²×C₅₉	—	2	2	no	—
694	C₂²×C₅₉	—	2	2	no	—
695	C₂²×C₅₉	—	2	2	no	—
696	C₂²×C₅₉	—	2	2	no	—
697	C₂²×C₅₉	—	2	2	no	—
698	C₂²×C₅₉	—	2	2	no	—
699	C₂²×C₅₉	—	2	2	no	—
700	C₂²×C₅₉	—	2	2	no	—
701	C₂²×C₅₉	—	2	2	no	—
702	C₂²×C₅₉	—	2	2	no	—
703	C₂²×C₅₉	—	2	2	no	—
704	C₂²×C₅₉	—	2	2	no	—
705	C₂²×C₅₉	—	2	2	no	—
706	C₂²×C₅₉	—	2	2	no	—
707	C₂²×C₅₉	—	2	2	no	—
708	C₂²×C₅₉	—	4	1	no	—
709	C₂²×C₅₉	—	4	1	no	—
710	C₂²×C₅₉	—	4	1	no	—
711	C₂²×C₅₉	—	4	1	no	—
712	C₂²×C₅₉	—	4	1	no	—
713	C₂²×C₅₉	—	4	1	no	—
714	C₂²×C₅₉	—	4	1	no	—
715	C₂²×C₅₉	—	4	1	no	—
716	C₂²×C₅₉	—	4	1	no	—
717	C₂²×C₅₉	—	4	1	no	—
718	C₂²×C₅₉	—	4	1	no	—
719	C₂²×C₅₉	—	4	1	no	—
720	C₂²×C₅₉	—	4	1	no	—
721	C₂²×C₅₉	—	4	1	no	—
722	C₂²×C₅₉	—	4	1	no	—
723	C₂²×C₅₉	—	4	1	no	—
724	C₂²×C₅₉	—	4	1	no	—
725	C₂²×C₅₉	—	4	1	no	—
726	C₂²×C₅₉	—	4	1	no	—
727	C₂²×C₅₉	—	8	8	no	—
728	C₂²×C₅₉	—	8	8	no	—
729	C₂²×C₅₉	#529	1	4	yes	—
730	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
731	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
732	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
733	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂²×C₅₉	#585	1	1	yes	characteristic
736	C₂²×C₅₉	#585	1	1	yes	characteristic
737	C₄×C₅₉	—	2	2	no	—
738	C₄×C₅₉	—	2	2	no	—
739	C₄×C₅₉	—	2	2	no	—
740	C₄×C₅₉	—	2	2	no	—
741	C₄×C₅₉	—	2	2	no	—
742	C₄×C₅₉	—	4	1	no	—
743	C₄×C₅₉	—	4	1	no	—
744	C₄×C₅₉	—	4	1	no	—
745	C₄×C₅₉	—	4	1	no	—
746	C₄×C₅₉	—	4	1	no	—
747	C₄×C₅₉	—	4	1	no	—
748	C₄×C₅₉	—	4	1	no	—
749	C₄×C₅₉	—	4	1	no	—
750	C₄×C₅₉	—	4	1	no	—
751	C₄×C₅₉	—	4	1	no	—
752	C₄×C₅₉	—	4	1	no	—
753	C₄×C₅₉	—	4	1	no	—
754	C₄×C₅₉	—	4	1	no	—
755	C₄×C₅₉	—	4	1	no	—
756	C₄×C₅₉	—	4	1	no	—
757	C₄×C₅₉	—	4	1	no	—
758	C₄×C₅₉	—	4	1	no	—
759	C₄×C₅₉	—	4	1	no	—
760	C₄×C₅₉	—	4	1	no	—
761	C₄×C₅₉	—	4	1	no	—
762	C₄×C₅₉	—	4	1	no	—
763	#2653	C₂×C₅₉	1	1	yes	characteristic, complemented
764	#2649	C₂×C₅₉	1	1	yes	characteristic, complemented
765	#2626	C₂×C₅₉	1	1	yes	characteristic, complemented
766	#2576	C₂×C₅₉	1	1	yes	characteristic, complemented
767	#2572	C₂×C₅₉	1	1	yes	characteristic, complemented
768	#2561	C₂×C₅₉	1	1	yes	characteristic, complemented
769	#2558	C₂×C₅₉	1	1	yes	characteristic, complemented
770	#2553	C₂×C₅₉	1	1	yes	characteristic, complemented
771	#2526	C₂×C₅₉	1	1	yes	characteristic, complemented
772	#2518	C₂×C₅₉	1	1	yes	characteristic, complemented
773	#2518	C₂×C₅₉	1	1	yes	characteristic, complemented
774	#2516	C₂×C₅₉	1	1	yes	characteristic, complemented
775	#2493	C₂×C₅₉	1	1	yes	characteristic, complemented
776	#2483	C₂×C₅₉	1	1	yes	characteristic, complemented
777	#2480	C₂×C₅₉	1	1	yes	characteristic, complemented
778	#2470	C₂×C₅₉	1	1	yes	characteristic, complemented
779	#2466	C₂×C₅₉	1	1	yes	characteristic, complemented
780	#2460	C₂×C₅₉	1	1	yes	characteristic, complemented
781	#2458	C₂×C₅₉	1	1	yes	characteristic, complemented
782	#2442	C₂×C₅₉	1	1	yes	characteristic, complemented
783	#2405	C₂×C₅₉	1	1	yes	characteristic
784	#2398	C₂×C₅₉	1	1	yes	characteristic, complemented
785	#2395	C₂×C₅₉	1	1	yes	characteristic, complemented
786	C₂×#394	C₂×C₅₉	1	1	yes	characteristic
787	#2360	C₂×C₅₉	1	1	yes	characteristic, complemented
788	#2343	C₂×C₅₉	1	1	yes	characteristic, complemented
789	#2342	C₂×C₅₉	1	1	yes	characteristic, complemented
790	#2342	C₂×C₅₉	1	1	yes	characteristic, complemented
791	#2342	C₂×C₅₉	1	1	yes	characteristic, complemented
792	D₄×C₂²⋊C₄	C₂×C₅₉	1	1	yes	characteristic
793	#2273	C₂×C₅₉	1	1	yes	characteristic, complemented
794	C₂×C₅₉	—	2	4	no	—
795	C₂×C₅₉	—	4	2	no	—
796	C₂×C₅₉	—	4	2	no	—
797	C₂×C₅₉	—	4	2	no	—
798	C₂×C₅₉	—	8	1	no	—
799	C₂×C₅₉	C₂×#529	1	1	yes	characteristic
800	C₂×C₅₉	#3490	1	1	yes	characteristic
801	C₂×C₅₉	#3491	1	1	yes	characteristic
802	C₂×C₅₉	#3494	1	1	yes	characteristic
803	C₂×C₅₉	#3505	1	1	yes	characteristic
804	C₂×C₅₉	#3513	1	1	yes	characteristic
805	C₂×C₅₉	#3514	1	1	yes	characteristic
806	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
807	C₂×#126	C₂²×C₅₉	1	1	yes	characteristic, complemented
808	C₂×#125	C₂²×C₅₉	1	1	yes	characteristic, complemented
809	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
810	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
811	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
812	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
813	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
814	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
815	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
816	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
817	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
818	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
819	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
820	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
821	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
822	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
823	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
824	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
825	#401	C₂²×C₅₉	1	1	yes	characteristic, complemented
826	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
827	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
828	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
829	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
830	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
831	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
832	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
833	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
834	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
835	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
836	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
837	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
838	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
839	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
840	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
841	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
842	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
843	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
844	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
845	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
846	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
847	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
848	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
849	#394	C₂²×C₅₉	1	1	yes	characteristic
850	#394	C₂²×C₅₉	1	1	yes	characteristic
851	#394	C₂²×C₅₉	1	1	yes	characteristic
852	#394	C₂²×C₅₉	1	1	yes	characteristic
853	#394	C₂²×C₅₉	1	1	yes	characteristic
854	#394	C₂²×C₅₉	1	1	yes	characteristic
855	#394	C₂²×C₅₉	1	1	yes	characteristic
856	#394	C₂²×C₅₉	1	1	yes	characteristic
857	#394	C₂²×C₅₉	1	1	yes	characteristic
858	#394	C₂²×C₅₉	1	1	yes	characteristic
859	#394	C₂²×C₅₉	1	1	yes	characteristic
860	#394	C₂²×C₅₉	1	1	yes	characteristic
861	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
862	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
863	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
864	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
865	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
866	#390	C₂²×C₅₉	1	1	yes	characteristic
867	#390	C₂²×C₅₉	1	1	yes	characteristic
868	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
869	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
870	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
871	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
872	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
873	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
874	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
875	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
876	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
877	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
878	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
879	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
880	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
881	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
882	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
883	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
884	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
885	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
886	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
887	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
888	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
889	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
890	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
891	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
892	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
893	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
894	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
895	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
896	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
897	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
898	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
899	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
900	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
901	#386	C₂²×C₅₉	1	1	yes	characteristic
902	#386	C₂²×C₅₉	1	1	yes	characteristic
903	#386	C₂²×C₅₉	1	1	yes	characteristic
904	#386	C₂²×C₅₉	1	1	yes	characteristic
905	#386	C₂²×C₅₉	1	1	yes	characteristic
906	#386	C₂²×C₅₉	1	1	yes	characteristic
907	#385	C₂²×C₅₉	1	1	yes	characteristic
908	#385	C₂²×C₅₉	1	1	yes	characteristic
909	#385	C₂²×C₅₉	1	1	yes	characteristic
910	#385	C₂²×C₅₉	1	1	yes	characteristic
911	#385	C₂²×C₅₉	1	1	yes	characteristic
912	#385	C₂²×C₅₉	1	1	yes	characteristic
913	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
914	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
915	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
916	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
917	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
918	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
919	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
920	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
921	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
922	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
923	#381	C₂²×C₅₉	1	1	yes	characteristic
924	#381	C₂²×C₅₉	1	1	yes	characteristic
925	#381	C₂²×C₅₉	1	1	yes	characteristic
926	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
927	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
928	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
929	#380	C₂²×C₅₉	1	1	yes	characteristic
930	#380	C₂²×C₅₉	1	1	yes	characteristic
931	#380	C₂²×C₅₉	1	1	yes	characteristic
932	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
933	#379	C₂²×C₅₉	1	1	yes	characteristic
934	#379	C₂²×C₅₉	1	1	yes	characteristic
935	#379	C₂²×C₅₉	1	1	yes	characteristic
936	#379	C₂²×C₅₉	1	1	yes	characteristic
937	#379	C₂²×C₅₉	1	1	yes	characteristic
938	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
939	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
940	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
941	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
942	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
943	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
944	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
945	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
946	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
947	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
948	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
949	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
950	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
951	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
952	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
953	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
954	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
955	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
956	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
957	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
958	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
959	#376	C₂²×C₅₉	1	1	yes	characteristic, complemented
960	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic
961	C₅₉	#35765	1	1	yes	characteristic, direct product factor, Sylow
962	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
963	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
964	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
965	C₂²×D₄	—	2	4	no	—
966	C₂²×D₄	—	4	2	no	—
967	C₂²×D₄	—	4	2	no	—
968	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
972	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
973	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
974	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
975	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
976	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
983	#126	—	4	2	no	—
984	#125	—	4	2	no	—
985	#123	—	4	2	no	—
986	#123	—	4	2	no	—
987	C₂²⋊Q₈	—	2	4	no	—
988	C₄×Q₈	—	4	2	no	—
989	C₄×D₄	—	4	2	no	—
990	C₄×D₄	—	4	2	no	—
991	#117	—	2	4	no	—
992	#117	—	4	2	no	—
993	C₂×C₄⋊C₄	—	4	2	no	—
994	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	—	2	4	no	—
1022	C₂×C₂²⋊C₄	—	2	4	no	—
1023	C₂×C₂²⋊C₄	—	2	4	no	—
1024	C₂×C₂²⋊C₄	—	2	4	no	—
1025	C₂×C₂²⋊C₄	—	2	4	no	—
1026	C₂×C₂²⋊C₄	—	2	4	no	—
1027	C₂×C₂²⋊C₄	—	4	2	no	—
1028	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1078	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1079	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1080	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1081	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1082	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1083	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1084	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1085	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1092	#95	C₂³×C₅₉	1	1	yes	characteristic
1093	#95	C₂³×C₅₉	1	1	yes	characteristic
1094	#95	C₂³×C₅₉	1	1	yes	characteristic
1095	#95	C₂³×C₅₉	1	1	yes	characteristic
1096	#95	C₂³×C₅₉	1	1	yes	characteristic
1097	#95	C₂³×C₅₉	1	1	yes	characteristic
1098	#95	C₂³×C₅₉	1	1	yes	characteristic
1099	#95	C₂³×C₅₉	1	1	yes	characteristic
1100	#95	C₂³×C₅₉	1	1	yes	characteristic
1101	#95	C₂³×C₅₉	1	1	yes	characteristic
1102	#95	C₂³×C₅₉	1	1	yes	characteristic
1103	#95	C₂³×C₅₉	1	1	yes	characteristic
1104	#95	C₂³×C₅₉	1	1	yes	characteristic
1105	#95	C₂³×C₅₉	1	1	yes	characteristic
1106	#95	C₂³×C₅₉	1	1	yes	characteristic
1107	#95	C₂³×C₅₉	1	1	yes	characteristic
1108	#95	C₂³×C₅₉	1	1	yes	characteristic
1109	#95	C₂³×C₅₉	1	1	yes	characteristic
1110	#95	C₂³×C₅₉	1	1	yes	characteristic
1111	#95	C₂³×C₅₉	1	1	yes	characteristic
1112	#95	C₂³×C₅₉	1	1	yes	characteristic
1113	#95	C₂³×C₅₉	1	1	yes	characteristic
1114	#95	C₂³×C₅₉	1	1	yes	characteristic
1115	#95	C₂³×C₅₉	1	1	yes	characteristic
1116	#95	C₂³×C₅₉	1	1	yes	characteristic
1117	#95	C₂³×C₅₉	1	1	yes	characteristic
1118	#95	C₂³×C₅₉	1	1	yes	characteristic
1119	#95	C₂³×C₅₉	1	1	yes	characteristic
1120	#95	C₂³×C₅₉	1	1	yes	characteristic
1121	#95	C₂³×C₅₉	1	1	yes	characteristic
1122	#95	C₂³×C₅₉	1	1	yes	characteristic
1123	#95	C₂³×C₅₉	1	1	yes	characteristic
1124	#95	C₂³×C₅₉	1	1	yes	characteristic
1125	#95	C₂³×C₅₉	1	1	yes	characteristic
1126	#95	C₂³×C₅₉	1	1	yes	characteristic
1127	#95	C₂³×C₅₉	1	1	yes	characteristic
1128	#95	C₂³×C₅₉	1	1	yes	characteristic
1129	#95	C₂³×C₅₉	1	1	yes	characteristic
1130	#95	C₂³×C₅₉	1	1	yes	characteristic
1131	#95	C₂³×C₅₉	1	1	yes	characteristic
1132	#95	C₂³×C₅₉	1	1	yes	characteristic
1133	#95	C₂³×C₅₉	1	1	yes	characteristic
1134	#95	C₂³×C₅₉	1	1	yes	characteristic
1135	#95	C₂³×C₅₉	1	1	yes	characteristic
1136	#95	C₂³×C₅₉	1	1	yes	characteristic
1137	#95	C₂³×C₅₉	1	1	yes	characteristic
1138	C₂⁴	—	2	2	no	—
1139	C₂⁴	—	2	2	no	—
1140	C₂⁴	—	2	2	no	—
1141	C₂⁴	—	2	2	no	—
1142	C₂⁴	—	2	2	no	—
1143	C₂⁴	—	2	2	no	—
1144	C₂⁴	—	4	1	no	—
1145	C₂⁴	—	4	1	no	—
1146	C₂⁴	—	4	1	no	—
1147	C₂⁴	—	4	1	no	—
1148	C₂⁴	—	4	1	no	—
1149	C₂⁴	—	4	1	no	—
1150	C₂⁴	—	4	1	no	—
1151	C₂⁴	#41×C₅₉	1	4	yes	—
1152	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1153	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1154	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1155	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1156	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1157	C₂×Q₈	—	2	2	no	—
1158	C₂×Q₈	—	4	1	no	—
1159	C₂×Q₈	—	4	1	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	2	2	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	4	1	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	16	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	2	2	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	#41×C₅₉	1	4	yes	—
1206	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1208	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1213	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1217	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1218	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	2	2	no	—
1237	C₄⋊C₄	—	2	2	no	—
1238	C₄⋊C₄	—	2	2	no	—
1239	C₄⋊C₄	—	2	2	no	—
1240	C₄⋊C₄	—	2	2	no	—
1241	C₄⋊C₄	—	2	2	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	4	1	no	—
1246	C₄⋊C₄	—	4	1	no	—
1247	C₄⋊C₄	—	4	1	no	—
1248	C₄⋊C₄	—	4	1	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	4	1	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	—	2	2	no	—
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	#41×C₅₉	1	4	yes	—
1309	C₄²	—	2	2	no	—
1310	C₄²	—	2	2	no	—
1311	C₄²	—	2	2	no	—
1312	C₄²	—	4	1	no	—
1313	C₄²	—	4	1	no	—
1314	C₄²	—	4	1	no	—
1315	C₄²	—	4	1	no	—
1316	C₄²	—	4	1	no	—
1317	C₄²	—	4	1	no	—
1318	C₄²	—	4	1	no	—
1319	C₄²	—	4	1	no	—
1320	C₄²	—	4	1	no	—
1321	C₄²	—	4	1	no	—
1322	C₄²	—	4	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	8	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	4	4	no	—
1354	C₂³	—	4	4	no	—
1355	C₂³	—	4	4	no	—
1356	C₂³	—	4	4	no	—
1357	C₂³	—	4	4	no	—
1358	C₂³	—	4	4	no	—
1359	C₂³	—	8	2	no	—
1360	C₂³	—	8	2	no	—
1361	C₂³	—	8	2	no	—
1362	C₂³	—	8	2	no	—
1363	C₂³	—	8	2	no	—
1364	C₂³	—	8	2	no	—
1365	C₂³	—	8	2	no	—
1366	C₂³	C₂×#41×C₅₉	1	2	yes	—
1367	C₂³	C₂×#41×C₅₉	1	2	yes	—
1368	C₂³	C₂×#41×C₅₉	1	2	yes	—
1369	C₂³	C₂×#41×C₅₉	1	2	yes	—
1370	C₂³	C₂×#41×C₅₉	1	2	yes	—
1371	C₂³	H(5,𝔽₂)×C₅₉	1	2	yes	—
1372	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1373	Q₈	—	4	4	no	—
1374	D₄	—	2	8	no	—
1375	D₄	—	4	4	no	—
1376	D₄	—	4	4	no	—
1377	D₄	—	4	4	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	4	4	no	—
1452	C₂×C₄	—	4	4	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	8	2	no	—
1456	C₂×C₄	—	8	2	no	—
1457	C₂×C₄	—	8	2	no	—
1458	C₂×C₄	—	8	2	no	—
1459	C₂×C₄	—	8	2	no	—
1460	C₂×C₄	—	8	2	no	—
1461	C₂×C₄	—	8	2	no	—
1462	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1463	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1464	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1465	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1466	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	no	—
1472	C₂²	—	2	2	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	2	no	—
1476	C₂²	—	2	2	no	—
1477	C₂²	—	2	2	no	—
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	2	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	8	8	no	—
1502	C₂²	—	8	8	no	—
1503	C₂²	C₅₉×#529	1	4	yes	—
1504	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1505	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1506	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1507	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1508	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1509	C₂²	C₅₉×#585	1	1	yes	characteristic
1510	C₂²	C₅₉×#585	1	1	yes	characteristic
1511	C₄	—	2	2	no	—
1512	C₄	—	2	2	no	—
1513	C₄	—	2	2	no	—
1514	C₄	—	2	2	no	—
1515	C₄	—	2	2	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₄	—	4	1	no	—
1524	C₄	—	4	1	no	—
1525	C₄	—	4	1	no	—
1526	C₄	—	4	1	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₂	—	2	4	no	—
1538	C₂	—	4	2	no	—
1539	C₂	—	4	2	no	—
1540	C₂	—	4	2	no	—
1541	C₂	—	8	1	no	—
1542	C₂	C₂×C₅₉×#529	1	1	yes	characteristic
1543	C₂	C₅₉×#3490	1	1	yes	characteristic
1544	C₂	C₅₉×#3491	1	1	yes	characteristic
1545	C₂	C₅₉×#3494	1	1	yes	characteristic
1546	C₂	C₅₉×#3505	1	1	yes	characteristic
1547	C₂	C₅₉×#3513	1	1	yes	characteristic
1548	C₂	C₅₉×#3514	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
prime radical	C₂³×D₄×C₅₉	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#2653	C₂	semidirect
2. C₅₉×#2649	C₂	semidirect
3. C₅₉×#2626	C₂	semidirect
4. C₅₉×#2576	C₂	semidirect
5. C₅₉×#2572	C₂	semidirect
6. C₅₉×#2561	C₂	semidirect
7. C₅₉×#2558	C₂	semidirect
8. C₅₉×#2553	C₂	semidirect
9. C₅₉×#2526	C₂	semidirect
10. C₅₉×#2518	C₂	semidirect
11. C₅₉×#2518	C₂	semidirect
12. C₅₉×#2516	C₂	semidirect
13. C₅₉×#2493	C₂	semidirect
14. C₅₉×#2483	C₂	semidirect
15. C₅₉×#2480	C₂	semidirect
16. C₅₉×#2470	C₂	semidirect
17. C₅₉×#2466	C₂	semidirect
18. C₅₉×#2460	C₂	semidirect
19. C₅₉×#2458	C₂	semidirect
20. C₅₉×#2442	C₂	semidirect
22. C₅₉×#2398	C₂	semidirect
23. C₅₉×#2395	C₂	semidirect
25. C₅₉×#2360	C₂	semidirect
26. C₅₉×#2343	C₂	semidirect
27. C₅₉×#2342	C₂	semidirect
28. C₅₉×#2342	C₂	semidirect
29. C₅₉×#2342	C₂	semidirect
31. C₅₉×#2273	C₂	semidirect
33. C₂×#126×C₅₉	C₂²	semidirect
34. C₂×#125×C₅₉	C₂²	semidirect
38. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
42. C₂×#117×C₅₉	C₂²	semidirect
51. C₅₉×#401	C₂²	semidirect
52. C₅₉×#400	C₂²	semidirect
53. C₅₉×#400	C₂²	semidirect
54. C₅₉×#400	C₂²	semidirect
55. C₅₉×#400	C₂²	semidirect
56. C₅₉×#400	C₂²	semidirect
57. C₅₉×#399	C₂²	semidirect
58. C₅₉×#399	C₂²	semidirect
59. C₅₉×#398	C₂²	semidirect
60. C₅₉×#398	C₂²	semidirect
61. C₅₉×#397	C₂²	semidirect
62. C₅₉×#397	C₂²	semidirect
63. C₅₉×#397	C₂²	semidirect
64. C₅₉×#397	C₂²	semidirect
65. C₅₉×#397	C₂²	semidirect
66. C₅₉×#397	C₂²	semidirect
67. C₅₉×#397	C₂²	semidirect
68. C₅₉×#397	C₂²	semidirect
69. C₅₉×#397	C₂²	semidirect
70. C₅₉×#396	C₂²	semidirect
71. C₅₉×#396	C₂²	semidirect
72. C₅₉×#396	C₂²	semidirect
73. C₅₉×#396	C₂²	semidirect
74. C₅₉×#396	C₂²	semidirect
87. C₅₉×#393	C₂²	semidirect
88. C₅₉×#393	C₂²	semidirect
89. C₅₉×#393	C₂²	semidirect
90. C₅₉×#393	C₂²	semidirect
91. C₅₉×#391	C₂²	semidirect
94. C₅₉×#389	C₂²	semidirect
95. C₅₉×#389	C₂²	semidirect
96. C₅₉×#389	C₂²	semidirect
97. C₅₉×#389	C₂²	semidirect
98. C₅₉×#389	C₂²	semidirect
99. C₅₉×#388	C₂²	semidirect
100. C₅₉×#388	C₂²	semidirect
101. C₅₉×#388	C₂²	semidirect
102. C₅₉×#388	C₂²	semidirect
103. C₅₉×#388	C₂²	semidirect
104. C₅₉×#388	C₂²	semidirect
105. C₅₉×#388	C₂²	semidirect
106. C₅₉×#388	C₂²	semidirect
107. C₅₉×#388	C₂²	semidirect
108. C₅₉×#388	C₂²	semidirect
109. C₅₉×#388	C₂²	semidirect
110. C₅₉×#388	C₂²	semidirect
111. C₅₉×#388	C₂²	semidirect
112. C₅₉×#388	C₂²	semidirect
113. C₅₉×#388	C₂²	semidirect
114. C₅₉×#388	C₂²	semidirect
115. C₅₉×#388	C₂²	semidirect
116. C₅₉×#388	C₂²	semidirect
117. C₅₉×#388	C₂²	semidirect
118. C₅₉×#387	C₂²	semidirect
119. C₅₉×#387	C₂²	semidirect
120. C₅₉×#387	C₂²	semidirect
121. C₅₉×#387	C₂²	semidirect
122. C₅₉×#387	C₂²	semidirect
123. C₅₉×#387	C₂²	semidirect
124. C₅₉×#387	C₂²	semidirect
125. C₅₉×#387	C₂²	semidirect
126. C₅₉×#387	C₂²	semidirect
139. C₅₉×#385	C₂²	semidirect
140. C₅₉×#385	C₂²	semidirect
141. C₅₉×#385	C₂²	semidirect
142. C₅₉×#385	C₂²	semidirect
143. C₅₉×#385	C₂²	semidirect
144. C₅₉×#385	C₂²	semidirect
145. C₅₉×#383	C₂²	semidirect
146. C₅₉×#383	C₂²	semidirect
147. C₅₉×#382	C₂²	semidirect
148. C₅₉×#382	C₂²	semidirect
152. C₅₉×#381	C₂²	semidirect
153. C₅₉×#381	C₂²	semidirect
154. C₅₉×#381	C₂²	semidirect
158. C₅₉×#380	C₂²	semidirect
164. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
165. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
172. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
173. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
174. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
175. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
176. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
177. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
178. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
185. C₅₉×#376	C₂²	semidirect
692. #35765	C₅₉	direct (N × H)
763. #2653	C₂×C₅₉	semidirect
764. #2649	C₂×C₅₉	semidirect
765. #2626	C₂×C₅₉	semidirect
766. #2576	C₂×C₅₉	semidirect
767. #2572	C₂×C₅₉	semidirect
768. #2561	C₂×C₅₉	semidirect
769. #2558	C₂×C₅₉	semidirect
770. #2553	C₂×C₅₉	semidirect
771. #2526	C₂×C₅₉	semidirect
772. #2518	C₂×C₅₉	semidirect
773. #2518	C₂×C₅₉	semidirect
774. #2516	C₂×C₅₉	semidirect
775. #2493	C₂×C₅₉	semidirect
776. #2483	C₂×C₅₉	semidirect
777. #2480	C₂×C₅₉	semidirect
778. #2470	C₂×C₅₉	semidirect
779. #2466	C₂×C₅₉	semidirect
780. #2460	C₂×C₅₉	semidirect
781. #2458	C₂×C₅₉	semidirect
782. #2442	C₂×C₅₉	semidirect
784. #2398	C₂×C₅₉	semidirect
785. #2395	C₂×C₅₉	semidirect
787. #2360	C₂×C₅₉	semidirect
788. #2343	C₂×C₅₉	semidirect
789. #2342	C₂×C₅₉	semidirect
790. #2342	C₂×C₅₉	semidirect
791. #2342	C₂×C₅₉	semidirect
793. #2273	C₂×C₅₉	semidirect
807. C₂×#126	C₂²×C₅₉	semidirect
808. C₂×#125	C₂²×C₅₉	semidirect
812. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
816. C₂×#117	C₂²×C₅₉	semidirect
825. #401	C₂²×C₅₉	semidirect
826. #400	C₂²×C₅₉	semidirect
827. #400	C₂²×C₅₉	semidirect
828. #400	C₂²×C₅₉	semidirect
829. #400	C₂²×C₅₉	semidirect
830. #400	C₂²×C₅₉	semidirect
831. #399	C₂²×C₅₉	semidirect
832. #399	C₂²×C₅₉	semidirect
833. #398	C₂²×C₅₉	semidirect
834. #398	C₂²×C₅₉	semidirect
835. #397	C₂²×C₅₉	semidirect
836. #397	C₂²×C₅₉	semidirect
837. #397	C₂²×C₅₉	semidirect
838. #397	C₂²×C₅₉	semidirect
839. #397	C₂²×C₅₉	semidirect
840. #397	C₂²×C₅₉	semidirect
841. #397	C₂²×C₅₉	semidirect
842. #397	C₂²×C₅₉	semidirect
843. #397	C₂²×C₅₉	semidirect
844. #396	C₂²×C₅₉	semidirect
845. #396	C₂²×C₅₉	semidirect
846. #396	C₂²×C₅₉	semidirect
847. #396	C₂²×C₅₉	semidirect
848. #396	C₂²×C₅₉	semidirect
861. #393	C₂²×C₅₉	semidirect
862. #393	C₂²×C₅₉	semidirect
863. #393	C₂²×C₅₉	semidirect
864. #393	C₂²×C₅₉	semidirect
865. #391	C₂²×C₅₉	semidirect
868. #389	C₂²×C₅₉	semidirect
869. #389	C₂²×C₅₉	semidirect
870. #389	C₂²×C₅₉	semidirect
871. #389	C₂²×C₅₉	semidirect
872. #389	C₂²×C₅₉	semidirect
873. #388	C₂²×C₅₉	semidirect
874. #388	C₂²×C₅₉	semidirect
875. #388	C₂²×C₅₉	semidirect
876. #388	C₂²×C₅₉	semidirect
877. #388	C₂²×C₅₉	semidirect
878. #388	C₂²×C₅₉	semidirect
879. #388	C₂²×C₅₉	semidirect
880. #388	C₂²×C₅₉	semidirect
881. #388	C₂²×C₅₉	semidirect
882. #388	C₂²×C₅₉	semidirect
883. #388	C₂²×C₅₉	semidirect
884. #388	C₂²×C₅₉	semidirect
885. #388	C₂²×C₅₉	semidirect
886. #388	C₂²×C₅₉	semidirect
887. #388	C₂²×C₅₉	semidirect
888. #388	C₂²×C₅₉	semidirect
889. #388	C₂²×C₅₉	semidirect
890. #388	C₂²×C₅₉	semidirect
891. #388	C₂²×C₅₉	semidirect
892. #387	C₂²×C₅₉	semidirect
893. #387	C₂²×C₅₉	semidirect
894. #387	C₂²×C₅₉	semidirect
895. #387	C₂²×C₅₉	semidirect
896. #387	C₂²×C₅₉	semidirect
897. #387	C₂²×C₅₉	semidirect
898. #387	C₂²×C₅₉	semidirect
899. #387	C₂²×C₅₉	semidirect
900. #387	C₂²×C₅₉	semidirect
913. #385	C₂²×C₅₉	semidirect
914. #385	C₂²×C₅₉	semidirect
915. #385	C₂²×C₅₉	semidirect
916. #385	C₂²×C₅₉	semidirect
917. #385	C₂²×C₅₉	semidirect
918. #385	C₂²×C₅₉	semidirect
919. #383	C₂²×C₅₉	semidirect
920. #383	C₂²×C₅₉	semidirect
921. #382	C₂²×C₅₉	semidirect
922. #382	C₂²×C₅₉	semidirect
926. #381	C₂²×C₅₉	semidirect
927. #381	C₂²×C₅₉	semidirect
928. #381	C₂²×C₅₉	semidirect
932. #380	C₂²×C₅₉	semidirect
938. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
939. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
946. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
947. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
948. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
949. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
950. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
951. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
952. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
953. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
954. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
955. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
956. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
957. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
958. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
959. #376	C₂²×C₅₉	semidirect
961. C₅₉	#35765	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₉×#2653	2
C₅₉×#2649	2
C₅₉×#2626	2
C₅₉×#2576	2
C₅₉×#2572	2
C₅₉×#2561	2
C₅₉×#2558	2
C₅₉×#2553	2
C₅₉×#2526	2
C₅₉×#2518	2
C₅₉×#2516	2
C₅₉×#2493	2
C₅₉×#2483	2
C₅₉×#2480	2
C₅₉×#2470	2
C₅₉×#2466	2
C₅₉×#2460	2
C₅₉×#2458	2
C₅₉×#2442	2
C₅₉×#2405	2
C₅₉×#2398	2
C₅₉×#2395	2
C₂×C₅₉×#394	2
C₅₉×#2360	2
C₅₉×#2343	2
C₅₉×#2342	2
D₄×C₂²⋊C₄×C₅₉	2
C₅₉×#2273	2
#35765	59

Subgroups — C59×#35765 #28447874

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35765 #28447874