Subgroups — C₅₉×#35379 #28447488

Order 15104.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#2597	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#2595	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2578	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2577	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2576	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2575	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2573	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2573	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2530	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#2527	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#2516	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#2510	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#2505	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#2494	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#2493	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2488	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2483	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#2477	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#2470	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#2458	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2437	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#2421	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2412	C₂	1	1	yes	maximal, characteristic
24	C₅₉×#2412	C₂	1	1	yes	maximal, characteristic
25	C₅₉×#2322	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#2321	C₂	1	1	yes	maximal, characteristic
27	C₅₉×#2313	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₂²⋊Q₈×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#2273	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
33	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
36	C₂×#120×C₅₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
39	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
41	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊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×C₄²×C₅₉	C₂²	1	1	yes	characteristic
47	C₅₉×#401	C₂²	1	1	yes	characteristic, complemented
48	C₅₉×#401	C₂²	1	1	yes	characteristic, complemented
49	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
50	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
51	C₅₉×#400	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×#400	C₂²	1	1	yes	characteristic, complemented
58	C₅₉×#399	C₂²	1	1	yes	characteristic
59	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
60	C₅₉×#397	C₂²	1	1	yes	characteristic
61	C₅₉×#397	C₂²	1	1	yes	characteristic
62	C₅₉×#397	C₂²	1	1	yes	characteristic
63	C₅₉×#397	C₂²	1	1	yes	characteristic
64	C₅₉×#397	C₂²	1	1	yes	characteristic
65	C₅₉×#397	C₂²	1	1	yes	characteristic
66	C₅₉×#397	C₂²	1	1	yes	characteristic
67	C₅₉×#397	C₂²	1	1	yes	characteristic
68	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
70	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
71	C₅₉×#396	C₂²	1	1	yes	characteristic
72	C₅₉×#396	C₂²	1	1	yes	characteristic
73	C₅₉×#394	C₂²	1	1	yes	characteristic
74	C₅₉×#394	C₂²	1	1	yes	characteristic
75	C₅₉×#394	C₂²	1	1	yes	characteristic
76	C₅₉×#394	C₂²	1	1	yes	characteristic
77	C₅₉×#393	C₂²	1	1	yes	characteristic
78	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
79	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
80	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
81	C₅₉×#390	C₂²	1	1	yes	characteristic
82	C₅₉×#390	C₂²	1	1	yes	characteristic
83	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
84	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
85	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
86	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
87	C₅₉×#388	C₂²	1	1	yes	characteristic
88	C₅₉×#388	C₂²	1	1	yes	characteristic
89	C₅₉×#388	C₂²	1	1	yes	characteristic
90	C₅₉×#388	C₂²	1	1	yes	characteristic
91	C₅₉×#388	C₂²	1	1	yes	characteristic
92	C₅₉×#388	C₂²	1	1	yes	characteristic
93	C₅₉×#388	C₂²	1	1	yes	characteristic
94	C₅₉×#388	C₂²	1	1	yes	characteristic
95	C₅₉×#388	C₂²	1	1	yes	characteristic
96	C₅₉×#388	C₂²	1	1	yes	characteristic
97	C₅₉×#388	C₂²	1	1	yes	characteristic
98	C₅₉×#388	C₂²	1	1	yes	characteristic
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×#387	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
109	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
110	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
111	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
112	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
115	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
117	C₅₉×#387	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×#386	C₂²	1	1	yes	characteristic
134	C₅₉×#386	C₂²	1	1	yes	characteristic
135	C₅₉×#386	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
140	C₅₉×#385	C₂²	1	1	yes	characteristic
141	C₅₉×#385	C₂²	1	1	yes	characteristic
142	C₅₉×#385	C₂²	1	1	yes	characteristic
143	C₅₉×#385	C₂²	1	1	yes	characteristic
144	C₅₉×#385	C₂²	1	1	yes	characteristic
145	C₅₉×#385	C₂²	1	1	yes	characteristic
146	C₅₉×#385	C₂²	1	1	yes	characteristic
147	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
148	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
149	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
150	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
151	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
152	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
153	C₅₉×#381	C₂²	1	1	yes	characteristic
154	C₅₉×#381	C₂²	1	1	yes	characteristic
155	C₅₉×#381	C₂²	1	1	yes	characteristic
156	C₅₉×#381	C₂²	1	1	yes	characteristic
157	C₅₉×#381	C₂²	1	1	yes	characteristic
158	C₅₉×#381	C₂²	1	1	yes	characteristic
159	C₅₉×#380	C₂²	1	1	yes	characteristic
160	C₅₉×#380	C₂²	1	1	yes	characteristic
161	C₅₉×#380	C₂²	1	1	yes	characteristic
162	C₅₉×#380	C₂²	1	1	yes	characteristic
163	C₅₉×#380	C₂²	1	1	yes	characteristic
164	C₅₉×#380	C₂²	1	1	yes	characteristic
165	C₅₉×#379	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
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
173	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
184	C₅₉×#376	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₅₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₅₉	C₂²	1	1	yes	characteristic
187	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
196	C₂³×C₄×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	#123×C₅₉	—	2	4	no	—
204	#123×C₅₉	—	4	2	no	—
205	C₂²⋊Q₈×C₅₉	—	2	4	no	—
206	C₂²⋊Q₈×C₅₉	—	4	2	no	—
207	#120×C₅₉	—	2	4	no	—
208	C₄×Q₈×C₅₉	—	4	2	no	—
209	C₄×D₄×C₅₉	—	2	4	no	—
210	#117×C₅₉	—	4	2	no	—
211	C₂×C₄⋊C₄×C₅₉	—	2	4	no	—
212	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₉	—	2	4	no	—
241	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
242	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
243	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
244	C₂×C₂²⋊C₄×C₅₉	—	4	2	no	—
245	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
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×C₄²×C₅₉	—	4	2	no	—
286	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
301	#95×C₅₉	C₂³	1	1	yes	characteristic
302	#95×C₅₉	C₂³	1	1	yes	characteristic
303	#95×C₅₉	C₂³	1	1	yes	characteristic
304	#95×C₅₉	C₂³	1	1	yes	characteristic
305	#95×C₅₉	C₂³	1	1	yes	characteristic
306	#95×C₅₉	C₂³	1	1	yes	characteristic
307	#95×C₅₉	C₂³	1	1	yes	characteristic
308	#95×C₅₉	C₂³	1	1	yes	characteristic
309	#95×C₅₉	C₂³	1	1	yes	characteristic
310	#95×C₅₉	C₂³	1	1	yes	characteristic
311	#95×C₅₉	C₂³	1	1	yes	characteristic
312	#95×C₅₉	C₂³	1	1	yes	characteristic
313	#95×C₅₉	C₂³	1	1	yes	characteristic
314	#95×C₅₉	C₂³	1	1	yes	characteristic
315	#95×C₅₉	C₂³	1	1	yes	characteristic
316	#95×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	C₂⁴×C₅₉	—	2	2	no	—
358	C₂⁴×C₅₉	—	2	2	no	—
359	C₂⁴×C₅₉	—	4	1	no	—
360	C₂⁴×C₅₉	—	4	1	no	—
361	C₂⁴×C₅₉	—	4	1	no	—
362	C₂⁴×C₅₉	—	4	1	no	—
363	C₂⁴×C₅₉	#41	1	4	yes	—
364	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
368	C₂×Q₈×C₅₉	—	2	2	no	—
369	C₂×Q₈×C₅₉	—	2	2	no	—
370	C₂×Q₈×C₅₉	—	4	1	no	—
371	C₂×D₄×C₅₉	—	2	2	no	—
372	C₂×D₄×C₅₉	—	2	2	no	—
373	C₂×D₄×C₅₉	—	2	2	no	—
374	C₂×D₄×C₅₉	—	2	2	no	—
375	C₂×D₄×C₅₉	—	2	2	no	—
376	C₂×D₄×C₅₉	—	4	1	no	—
377	C₂×D₄×C₅₉	—	4	1	no	—
378	C₂×D₄×C₅₉	—	4	1	no	—
379	C₂×D₄×C₅₉	—	4	1	no	—
380	C₂²×C₄×C₅₉	—	2	2	no	—
381	C₂²×C₄×C₅₉	—	2	2	no	—
382	C₂²×C₄×C₅₉	—	2	2	no	—
383	C₂²×C₄×C₅₉	—	2	2	no	—
384	C₂²×C₄×C₅₉	—	2	2	no	—
385	C₂²×C₄×C₅₉	—	2	2	no	—
386	C₂²×C₄×C₅₉	—	2	2	no	—
387	C₂²×C₄×C₅₉	—	2	2	no	—
388	C₂²×C₄×C₅₉	—	2	2	no	—
389	C₂²×C₄×C₅₉	—	2	2	no	—
390	C₂²×C₄×C₅₉	—	2	2	no	—
391	C₂²×C₄×C₅₉	—	2	2	no	—
392	C₂²×C₄×C₅₉	—	2	2	no	—
393	C₂²×C₄×C₅₉	—	4	1	no	—
394	C₂²×C₄×C₅₉	—	4	1	no	—
395	C₂²×C₄×C₅₉	—	4	1	no	—
396	C₂²×C₄×C₅₉	—	4	1	no	—
397	C₂²×C₄×C₅₉	—	4	1	no	—
398	C₂²×C₄×C₅₉	—	4	1	no	—
399	C₂²×C₄×C₅₉	—	4	1	no	—
400	C₂²×C₄×C₅₉	—	4	1	no	—
401	C₂²×C₄×C₅₉	—	4	1	no	—
402	C₂²×C₄×C₅₉	—	4	1	no	—
403	C₂²×C₄×C₅₉	—	4	1	no	—
404	C₂²×C₄×C₅₉	—	4	1	no	—
405	C₂²×C₄×C₅₉	—	4	1	no	—
406	C₂²×C₄×C₅₉	—	4	1	no	—
407	C₂²×C₄×C₅₉	—	4	1	no	—
408	C₂²×C₄×C₅₉	—	4	1	no	—
409	C₂²×C₄×C₅₉	—	4	1	no	—
410	C₂²×C₄×C₅₉	—	4	1	no	—
411	C₂²×C₄×C₅₉	—	4	1	no	—
412	C₂²×C₄×C₅₉	#41	1	4	yes	—
413	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₅₉	—	2	2	no	—
441	C₄⋊C₄×C₅₉	—	2	2	no	—
442	C₄⋊C₄×C₅₉	—	2	2	no	—
443	C₄⋊C₄×C₅₉	—	2	2	no	—
444	C₄⋊C₄×C₅₉	—	2	2	no	—
445	C₄⋊C₄×C₅₉	—	2	2	no	—
446	C₄⋊C₄×C₅₉	—	2	2	no	—
447	C₄⋊C₄×C₅₉	—	2	2	no	—
448	C₄⋊C₄×C₅₉	—	2	2	no	—
449	C₄⋊C₄×C₅₉	—	2	2	no	—
450	C₄⋊C₄×C₅₉	—	2	2	no	—
451	C₄⋊C₄×C₅₉	—	2	2	no	—
452	C₄⋊C₄×C₅₉	—	4	1	no	—
453	C₄⋊C₄×C₅₉	—	4	1	no	—
454	C₄⋊C₄×C₅₉	—	4	1	no	—
455	C₄⋊C₄×C₅₉	—	4	1	no	—
456	C₄⋊C₄×C₅₉	—	4	1	no	—
457	C₄⋊C₄×C₅₉	—	4	1	no	—
458	C₄⋊C₄×C₅₉	—	4	1	no	—
459	C₄⋊C₄×C₅₉	—	4	1	no	—
460	C₄⋊C₄×C₅₉	—	4	1	no	—
461	C₄⋊C₄×C₅₉	—	4	1	no	—
462	C₄⋊C₄×C₅₉	—	4	1	no	—
463	C₄⋊C₄×C₅₉	—	4	1	no	—
464	C₄⋊C₄×C₅₉	—	4	1	no	—
465	C₄⋊C₄×C₅₉	—	4	1	no	—
466	C₄⋊C₄×C₅₉	—	4	1	no	—
467	C₄⋊C₄×C₅₉	—	4	1	no	—
468	C₂²⋊C₄×C₅₉	—	2	2	no	—
469	C₂²⋊C₄×C₅₉	—	2	2	no	—
470	C₂²⋊C₄×C₅₉	—	2	2	no	—
471	C₂²⋊C₄×C₅₉	—	2	2	no	—
472	C₂²⋊C₄×C₅₉	—	2	2	no	—
473	C₂²⋊C₄×C₅₉	—	2	2	no	—
474	C₂²⋊C₄×C₅₉	—	2	2	no	—
475	C₂²⋊C₄×C₅₉	—	2	2	no	—
476	C₂²⋊C₄×C₅₉	—	2	2	no	—
477	C₂²⋊C₄×C₅₉	—	2	2	no	—
478	C₂²⋊C₄×C₅₉	—	2	2	no	—
479	C₂²⋊C₄×C₅₉	—	2	2	no	—
480	C₂²⋊C₄×C₅₉	—	2	2	no	—
481	C₂²⋊C₄×C₅₉	—	2	2	no	—
482	C₂²⋊C₄×C₅₉	—	2	2	no	—
483	C₂²⋊C₄×C₅₉	—	2	2	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	—	4	1	no	—
495	C₂²⋊C₄×C₅₉	—	4	1	no	—
496	C₂²⋊C₄×C₅₉	—	4	1	no	—
497	C₂²⋊C₄×C₅₉	—	4	1	no	—
498	C₂²⋊C₄×C₅₉	—	4	1	no	—
499	C₂²⋊C₄×C₅₉	—	4	1	no	—
500	C₂²⋊C₄×C₅₉	—	4	1	no	—
501	C₂²⋊C₄×C₅₉	—	4	1	no	—
502	C₂²⋊C₄×C₅₉	—	4	1	no	—
503	C₂²⋊C₄×C₅₉	—	4	1	no	—
504	C₂²⋊C₄×C₅₉	—	4	1	no	—
505	C₂²⋊C₄×C₅₉	—	4	1	no	—
506	C₂²⋊C₄×C₅₉	—	4	1	no	—
507	C₂²⋊C₄×C₅₉	#41	1	4	yes	—
508	C₄²×C₅₉	—	2	2	no	—
509	C₄²×C₅₉	—	2	2	no	—
510	C₄²×C₅₉	—	2	2	no	—
511	C₄²×C₅₉	—	4	1	no	—
512	C₄²×C₅₉	—	4	1	no	—
513	C₄²×C₅₉	—	4	1	no	—
514	C₄²×C₅₉	—	4	1	no	—
515	C₄²×C₅₉	—	4	1	no	—
516	C₄²×C₅₉	—	4	1	no	—
517	C₄²×C₅₉	—	4	1	no	—
518	C₄²×C₅₉	—	4	1	no	—
519	C₄²×C₅₉	—	4	1	no	—
520	C₄²×C₅₉	—	4	1	no	—
521	C₄²×C₅₉	—	4	1	no	—
522	C₄²×C₅₉	—	4	1	no	—
523	C₂³×C₅₉	—	2	1	no	—
524	C₂³×C₅₉	—	2	1	no	—
525	C₂³×C₅₉	—	2	1	no	—
526	C₂³×C₅₉	—	2	1	no	—
527	C₂³×C₅₉	—	2	1	no	—
528	C₂³×C₅₉	—	2	1	no	—
529	C₂³×C₅₉	—	2	1	no	—
530	C₂³×C₅₉	—	2	1	no	—
531	C₂³×C₅₉	—	2	1	no	—
532	C₂³×C₅₉	—	2	1	no	—
533	C₂³×C₅₉	—	2	1	no	—
534	C₂³×C₅₉	—	2	1	no	—
535	C₂³×C₅₉	—	2	1	no	—
536	C₂³×C₅₉	—	2	1	no	—
537	C₂³×C₅₉	—	2	1	no	—
538	C₂³×C₅₉	—	2	1	no	—
539	C₂³×C₅₉	—	2	8	no	—
540	C₂³×C₅₉	—	2	1	no	—
541	C₂³×C₅₉	—	2	1	no	—
542	C₂³×C₅₉	—	2	1	no	—
543	C₂³×C₅₉	—	2	1	no	—
544	C₂³×C₅₉	—	2	1	no	—
545	C₂³×C₅₉	—	2	1	no	—
546	C₂³×C₅₉	—	2	1	no	—
547	C₂³×C₅₉	—	4	4	no	—
548	C₂³×C₅₉	—	4	4	no	—
549	C₂³×C₅₉	—	8	2	no	—
550	C₂³×C₅₉	—	8	2	no	—
551	C₂³×C₅₉	—	8	2	no	—
552	C₂³×C₅₉	—	8	2	no	—
553	C₂³×C₅₉	C₂×#41	1	2	yes	—
554	C₂³×C₅₉	C₂×#41	1	2	yes	—
555	C₂³×C₅₉	C₂×#41	1	2	yes	—
556	C₂³×C₅₉	C₂×#41	1	2	yes	—
557	C₂³×C₅₉	C₂×#41	1	2	yes	—
558	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
559	Q₈×C₅₉	—	4	4	no	—
560	D₄×C₅₉	—	4	4	no	—
561	D₄×C₅₉	—	8	2	no	—
562	D₄×C₅₉	—	8	2	no	—
563	C₂×C₄×C₅₉	—	2	1	no	—
564	C₂×C₄×C₅₉	—	2	1	no	—
565	C₂×C₄×C₅₉	—	2	1	no	—
566	C₂×C₄×C₅₉	—	2	1	no	—
567	C₂×C₄×C₅₉	—	2	1	no	—
568	C₂×C₄×C₅₉	—	2	1	no	—
569	C₂×C₄×C₅₉	—	2	1	no	—
570	C₂×C₄×C₅₉	—	2	1	no	—
571	C₂×C₄×C₅₉	—	2	1	no	—
572	C₂×C₄×C₅₉	—	2	1	no	—
573	C₂×C₄×C₅₉	—	2	1	no	—
574	C₂×C₄×C₅₉	—	2	1	no	—
575	C₂×C₄×C₅₉	—	2	1	no	—
576	C₂×C₄×C₅₉	—	2	1	no	—
577	C₂×C₄×C₅₉	—	2	1	no	—
578	C₂×C₄×C₅₉	—	2	1	no	—
579	C₂×C₄×C₅₉	—	2	1	no	—
580	C₂×C₄×C₅₉	—	2	1	no	—
581	C₂×C₄×C₅₉	—	2	1	no	—
582	C₂×C₄×C₅₉	—	2	1	no	—
583	C₂×C₄×C₅₉	—	2	1	no	—
584	C₂×C₄×C₅₉	—	2	1	no	—
585	C₂×C₄×C₅₉	—	2	1	no	—
586	C₂×C₄×C₅₉	—	2	1	no	—
587	C₂×C₄×C₅₉	—	2	1	no	—
588	C₂×C₄×C₅₉	—	2	1	no	—
589	C₂×C₄×C₅₉	—	2	1	no	—
590	C₂×C₄×C₅₉	—	2	1	no	—
591	C₂×C₄×C₅₉	—	2	1	no	—
592	C₂×C₄×C₅₉	—	2	1	no	—
593	C₂×C₄×C₅₉	—	2	1	no	—
594	C₂×C₄×C₅₉	—	2	1	no	—
595	C₂×C₄×C₅₉	—	2	1	no	—
596	C₂×C₄×C₅₉	—	2	1	no	—
597	C₂×C₄×C₅₉	—	2	1	no	—
598	C₂×C₄×C₅₉	—	2	1	no	—
599	C₂×C₄×C₅₉	—	2	1	no	—
600	C₂×C₄×C₅₉	—	2	1	no	—
601	C₂×C₄×C₅₉	—	2	1	no	—
602	C₂×C₄×C₅₉	—	2	1	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	—	4	4	no	—
640	C₂×C₄×C₅₉	—	4	4	no	—
641	C₂×C₄×C₅₉	—	4	4	no	—
642	C₂×C₄×C₅₉	—	4	4	no	—
643	C₂×C₄×C₅₉	—	4	4	no	—
644	C₂×C₄×C₅₉	—	8	2	no	—
645	C₂×C₄×C₅₉	—	8	2	no	—
646	C₂×C₄×C₅₉	—	8	2	no	—
647	C₂×C₄×C₅₉	—	8	2	no	—
648	C₂×C₄×C₅₉	—	8	2	no	—
649	C₂×C₄×C₅₉	—	8	2	no	—
650	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
651	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
652	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
653	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
654	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
655	#35379	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
656	C₂²×C₅₉	—	2	2	no	—
657	C₂²×C₅₉	—	2	2	no	—
658	C₂²×C₅₉	—	2	2	no	—
659	C₂²×C₅₉	—	2	2	no	—
660	C₂²×C₅₉	—	2	2	no	—
661	C₂²×C₅₉	—	2	2	no	—
662	C₂²×C₅₉	—	2	2	no	—
663	C₂²×C₅₉	—	2	2	no	—
664	C₂²×C₅₉	—	2	2	no	—
665	C₂²×C₅₉	—	2	2	no	—
666	C₂²×C₅₉	—	2	2	no	—
667	C₂²×C₅₉	—	2	2	no	—
668	C₂²×C₅₉	—	4	1	no	—
669	C₂²×C₅₉	—	4	1	no	—
670	C₂²×C₅₉	—	4	1	no	—
671	C₂²×C₅₉	—	4	1	no	—
672	C₂²×C₅₉	—	4	1	no	—
673	C₂²×C₅₉	—	4	1	no	—
674	C₂²×C₅₉	—	4	1	no	—
675	C₂²×C₅₉	—	4	1	no	—
676	C₂²×C₅₉	—	4	1	no	—
677	C₂²×C₅₉	—	4	1	no	—
678	C₂²×C₅₉	—	4	1	no	—
679	C₂²×C₅₉	—	4	1	no	—
680	C₂²×C₅₉	—	4	1	no	—
681	C₂²×C₅₉	—	4	1	no	—
682	C₂²×C₅₉	—	4	1	no	—
683	C₂²×C₅₉	—	8	8	no	—
684	C₂²×C₅₉	#529	1	4	yes	—
685	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
686	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
687	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
688	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
689	C₂²×C₅₉	#585	1	1	yes	characteristic
690	C₂²×C₅₉	#585	1	1	yes	characteristic
691	C₂²×C₅₉	#585	1	1	yes	characteristic
692	C₄×C₅₉	—	2	2	no	—
693	C₄×C₅₉	—	2	2	no	—
694	C₄×C₅₉	—	2	2	no	—
695	C₄×C₅₉	—	2	2	no	—
696	C₄×C₅₉	—	2	2	no	—
697	C₄×C₅₉	—	4	1	no	—
698	C₄×C₅₉	—	4	1	no	—
699	C₄×C₅₉	—	4	1	no	—
700	C₄×C₅₉	—	4	1	no	—
701	C₄×C₅₉	—	4	1	no	—
702	C₄×C₅₉	—	4	1	no	—
703	C₄×C₅₉	—	4	1	no	—
704	C₄×C₅₉	—	4	1	no	—
705	C₄×C₅₉	—	4	1	no	—
706	C₄×C₅₉	—	4	1	no	—
707	C₄×C₅₉	—	4	1	no	—
708	C₄×C₅₉	—	4	1	no	—
709	C₄×C₅₉	—	4	1	no	—
710	C₄×C₅₉	—	4	1	no	—
711	C₄×C₅₉	—	4	1	no	—
712	C₄×C₅₉	—	4	1	no	—
713	C₄×C₅₉	—	4	1	no	—
714	C₄×C₅₉	—	4	1	no	—
715	C₄×C₅₉	—	4	1	no	—
716	C₄×C₅₉	—	4	1	no	—
717	C₄×C₅₉	—	4	1	no	—
718	C₄×C₅₉	—	4	1	no	—
719	#2597	C₂×C₅₉	1	1	yes	characteristic, complemented
720	#2595	C₂×C₅₉	1	1	yes	characteristic, complemented
721	#2578	C₂×C₅₉	1	1	yes	characteristic, complemented
722	#2577	C₂×C₅₉	1	1	yes	characteristic, complemented
723	#2576	C₂×C₅₉	1	1	yes	characteristic, complemented
724	#2575	C₂×C₅₉	1	1	yes	characteristic, complemented
725	#2573	C₂×C₅₉	1	1	yes	characteristic, complemented
726	#2573	C₂×C₅₉	1	1	yes	characteristic, complemented
727	#2530	C₂×C₅₉	1	1	yes	characteristic, complemented
728	#2527	C₂×C₅₉	1	1	yes	characteristic, complemented
729	#2516	C₂×C₅₉	1	1	yes	characteristic, complemented
730	#2510	C₂×C₅₉	1	1	yes	characteristic, complemented
731	#2505	C₂×C₅₉	1	1	yes	characteristic, complemented
732	#2494	C₂×C₅₉	1	1	yes	characteristic, complemented
733	#2493	C₂×C₅₉	1	1	yes	characteristic, complemented
734	#2488	C₂×C₅₉	1	1	yes	characteristic, complemented
735	#2483	C₂×C₅₉	1	1	yes	characteristic, complemented
736	#2477	C₂×C₅₉	1	1	yes	characteristic, complemented
737	#2470	C₂×C₅₉	1	1	yes	characteristic, complemented
738	#2458	C₂×C₅₉	1	1	yes	characteristic, complemented
739	#2437	C₂×C₅₉	1	1	yes	characteristic, complemented
740	#2421	C₂×C₅₉	1	1	yes	characteristic, complemented
741	#2412	C₂×C₅₉	1	1	yes	characteristic
742	#2412	C₂×C₅₉	1	1	yes	characteristic
743	#2322	C₂×C₅₉	1	1	yes	characteristic, complemented
744	#2321	C₂×C₅₉	1	1	yes	characteristic
745	#2313	C₂×C₅₉	1	1	yes	characteristic, complemented
746	C₄×C₂²⋊Q₈	C₂×C₅₉	1	1	yes	characteristic, complemented
747	#2290	C₂×C₅₉	1	1	yes	characteristic, complemented
748	C₂×#388	C₂×C₅₉	1	1	yes	characteristic, complemented
749	#2273	C₂×C₅₉	1	1	yes	characteristic, complemented
750	C₂×C₅₉	—	2	4	no	—
751	C₂×C₅₉	—	4	2	no	—
752	C₂×C₅₉	—	4	2	no	—
753	C₂×C₅₉	—	8	1	no	—
754	C₂×C₅₉	C₂×#529	1	1	yes	characteristic
755	C₂×C₅₉	#3491	1	1	yes	characteristic
756	C₂×C₅₉	#3505	1	1	yes	characteristic
757	C₂×C₅₉	#3505	1	1	yes	characteristic
758	C₂×C₅₉	#3510	1	1	yes	characteristic
759	C₂×C₅₉	#3513	1	1	yes	characteristic
760	C₂×C₅₉	#3521	1	1	yes	characteristic
761	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
762	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
763	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
764	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
765	C₂×#120	C₂²×C₅₉	1	1	yes	characteristic
766	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
767	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
768	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
769	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
770	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
771	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
772	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
773	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
774	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
775	C₂²×C₄²	C₂²×C₅₉	1	1	yes	characteristic
776	#401	C₂²×C₅₉	1	1	yes	characteristic, complemented
777	#401	C₂²×C₅₉	1	1	yes	characteristic, complemented
778	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
779	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
780	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
781	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
782	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
783	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
784	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
785	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
786	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
787	#399	C₂²×C₅₉	1	1	yes	characteristic
788	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
789	#397	C₂²×C₅₉	1	1	yes	characteristic
790	#397	C₂²×C₅₉	1	1	yes	characteristic
791	#397	C₂²×C₅₉	1	1	yes	characteristic
792	#397	C₂²×C₅₉	1	1	yes	characteristic
793	#397	C₂²×C₅₉	1	1	yes	characteristic
794	#397	C₂²×C₅₉	1	1	yes	characteristic
795	#397	C₂²×C₅₉	1	1	yes	characteristic
796	#397	C₂²×C₅₉	1	1	yes	characteristic
797	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
798	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
799	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
800	#396	C₂²×C₅₉	1	1	yes	characteristic
801	#396	C₂²×C₅₉	1	1	yes	characteristic
802	#394	C₂²×C₅₉	1	1	yes	characteristic
803	#394	C₂²×C₅₉	1	1	yes	characteristic
804	#394	C₂²×C₅₉	1	1	yes	characteristic
805	#394	C₂²×C₅₉	1	1	yes	characteristic
806	#393	C₂²×C₅₉	1	1	yes	characteristic
807	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
808	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
809	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
810	#390	C₂²×C₅₉	1	1	yes	characteristic
811	#390	C₂²×C₅₉	1	1	yes	characteristic
812	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
813	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
814	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
815	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
816	#388	C₂²×C₅₉	1	1	yes	characteristic
817	#388	C₂²×C₅₉	1	1	yes	characteristic
818	#388	C₂²×C₅₉	1	1	yes	characteristic
819	#388	C₂²×C₅₉	1	1	yes	characteristic
820	#388	C₂²×C₅₉	1	1	yes	characteristic
821	#388	C₂²×C₅₉	1	1	yes	characteristic
822	#388	C₂²×C₅₉	1	1	yes	characteristic
823	#388	C₂²×C₅₉	1	1	yes	characteristic
824	#388	C₂²×C₅₉	1	1	yes	characteristic
825	#388	C₂²×C₅₉	1	1	yes	characteristic
826	#388	C₂²×C₅₉	1	1	yes	characteristic
827	#388	C₂²×C₅₉	1	1	yes	characteristic
828	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
829	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
830	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
831	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
832	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
833	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
834	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
835	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
836	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
837	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
838	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
839	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
840	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
841	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
842	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
843	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
844	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
845	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
846	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
847	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
848	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
849	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
850	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
851	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
852	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
853	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
854	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
855	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
856	#386	C₂²×C₅₉	1	1	yes	characteristic
857	#386	C₂²×C₅₉	1	1	yes	characteristic
858	#386	C₂²×C₅₉	1	1	yes	characteristic
859	#386	C₂²×C₅₉	1	1	yes	characteristic
860	#386	C₂²×C₅₉	1	1	yes	characteristic
861	#386	C₂²×C₅₉	1	1	yes	characteristic
862	#386	C₂²×C₅₉	1	1	yes	characteristic
863	#386	C₂²×C₅₉	1	1	yes	characteristic
864	#386	C₂²×C₅₉	1	1	yes	characteristic
865	#385	C₂²×C₅₉	1	1	yes	characteristic
866	#385	C₂²×C₅₉	1	1	yes	characteristic
867	#385	C₂²×C₅₉	1	1	yes	characteristic
868	#385	C₂²×C₅₉	1	1	yes	characteristic
869	#385	C₂²×C₅₉	1	1	yes	characteristic
870	#385	C₂²×C₅₉	1	1	yes	characteristic
871	#385	C₂²×C₅₉	1	1	yes	characteristic
872	#385	C₂²×C₅₉	1	1	yes	characteristic
873	#385	C₂²×C₅₉	1	1	yes	characteristic
874	#385	C₂²×C₅₉	1	1	yes	characteristic
875	#385	C₂²×C₅₉	1	1	yes	characteristic
876	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
877	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
878	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
879	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
880	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
881	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
882	#381	C₂²×C₅₉	1	1	yes	characteristic
883	#381	C₂²×C₅₉	1	1	yes	characteristic
884	#381	C₂²×C₅₉	1	1	yes	characteristic
885	#381	C₂²×C₅₉	1	1	yes	characteristic
886	#381	C₂²×C₅₉	1	1	yes	characteristic
887	#381	C₂²×C₅₉	1	1	yes	characteristic
888	#380	C₂²×C₅₉	1	1	yes	characteristic
889	#380	C₂²×C₅₉	1	1	yes	characteristic
890	#380	C₂²×C₅₉	1	1	yes	characteristic
891	#380	C₂²×C₅₉	1	1	yes	characteristic
892	#380	C₂²×C₅₉	1	1	yes	characteristic
893	#380	C₂²×C₅₉	1	1	yes	characteristic
894	#379	C₂²×C₅₉	1	1	yes	characteristic
895	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
896	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
897	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
898	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
899	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
900	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
901	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
902	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
903	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
904	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
905	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
906	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
907	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
908	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
909	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
910	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
911	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
912	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
913	#376	C₂²×C₅₉	1	1	yes	characteristic, complemented
914	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic
915	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic
916	C₅₉	#35379	1	1	yes	characteristic, direct product factor, Sylow
917	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
918	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
919	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
920	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
921	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
922	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
923	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
924	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
925	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
926	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
927	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
928	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
929	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
930	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
931	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
932	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
933	#123	—	2	4	no	—
934	#123	—	4	2	no	—
935	C₂²⋊Q₈	—	2	4	no	—
936	C₂²⋊Q₈	—	4	2	no	—
937	#120	—	2	4	no	—
938	C₄×Q₈	—	4	2	no	—
939	C₄×D₄	—	2	4	no	—
940	#117	—	4	2	no	—
941	C₂×C₄⋊C₄	—	2	4	no	—
942	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	—	2	4	no	—
971	C₂×C₂²⋊C₄	—	2	4	no	—
972	C₂×C₂²⋊C₄	—	2	4	no	—
973	C₂×C₂²⋊C₄	—	2	4	no	—
974	C₂×C₂²⋊C₄	—	4	2	no	—
975	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1015	C₂×C₄²	—	4	2	no	—
1016	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1017	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1018	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1021	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1022	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1023	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1024	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1025	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1026	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1027	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1028	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1029	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1030	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1031	#95	C₂³×C₅₉	1	1	yes	characteristic
1032	#95	C₂³×C₅₉	1	1	yes	characteristic
1033	#95	C₂³×C₅₉	1	1	yes	characteristic
1034	#95	C₂³×C₅₉	1	1	yes	characteristic
1035	#95	C₂³×C₅₉	1	1	yes	characteristic
1036	#95	C₂³×C₅₉	1	1	yes	characteristic
1037	#95	C₂³×C₅₉	1	1	yes	characteristic
1038	#95	C₂³×C₅₉	1	1	yes	characteristic
1039	#95	C₂³×C₅₉	1	1	yes	characteristic
1040	#95	C₂³×C₅₉	1	1	yes	characteristic
1041	#95	C₂³×C₅₉	1	1	yes	characteristic
1042	#95	C₂³×C₅₉	1	1	yes	characteristic
1043	#95	C₂³×C₅₉	1	1	yes	characteristic
1044	#95	C₂³×C₅₉	1	1	yes	characteristic
1045	#95	C₂³×C₅₉	1	1	yes	characteristic
1046	#95	C₂³×C₅₉	1	1	yes	characteristic
1047	#95	C₂³×C₅₉	1	1	yes	characteristic
1048	#95	C₂³×C₅₉	1	1	yes	characteristic
1049	#95	C₂³×C₅₉	1	1	yes	characteristic
1050	#95	C₂³×C₅₉	1	1	yes	characteristic
1051	#95	C₂³×C₅₉	1	1	yes	characteristic
1052	#95	C₂³×C₅₉	1	1	yes	characteristic
1053	#95	C₂³×C₅₉	1	1	yes	characteristic
1054	#95	C₂³×C₅₉	1	1	yes	characteristic
1055	#95	C₂³×C₅₉	1	1	yes	characteristic
1056	#95	C₂³×C₅₉	1	1	yes	characteristic
1057	#95	C₂³×C₅₉	1	1	yes	characteristic
1058	#95	C₂³×C₅₉	1	1	yes	characteristic
1059	#95	C₂³×C₅₉	1	1	yes	characteristic
1060	#95	C₂³×C₅₉	1	1	yes	characteristic
1061	#95	C₂³×C₅₉	1	1	yes	characteristic
1062	#95	C₂³×C₅₉	1	1	yes	characteristic
1063	#95	C₂³×C₅₉	1	1	yes	characteristic
1064	#95	C₂³×C₅₉	1	1	yes	characteristic
1065	#95	C₂³×C₅₉	1	1	yes	characteristic
1066	#95	C₂³×C₅₉	1	1	yes	characteristic
1067	#95	C₂³×C₅₉	1	1	yes	characteristic
1068	#95	C₂³×C₅₉	1	1	yes	characteristic
1069	#95	C₂³×C₅₉	1	1	yes	characteristic
1070	#95	C₂³×C₅₉	1	1	yes	characteristic
1071	#95	C₂³×C₅₉	1	1	yes	characteristic
1072	#95	C₂³×C₅₉	1	1	yes	characteristic
1073	#95	C₂³×C₅₉	1	1	yes	characteristic
1074	#95	C₂³×C₅₉	1	1	yes	characteristic
1075	#95	C₂³×C₅₉	1	1	yes	characteristic
1076	#95	C₂³×C₅₉	1	1	yes	characteristic
1077	#95	C₂³×C₅₉	1	1	yes	characteristic
1078	#95	C₂³×C₅₉	1	1	yes	characteristic
1079	#95	C₂³×C₅₉	1	1	yes	characteristic
1080	#95	C₂³×C₅₉	1	1	yes	characteristic
1081	#95	C₂³×C₅₉	1	1	yes	characteristic
1082	#95	C₂³×C₅₉	1	1	yes	characteristic
1083	#95	C₂³×C₅₉	1	1	yes	characteristic
1084	#95	C₂³×C₅₉	1	1	yes	characteristic
1085	#95	C₂³×C₅₉	1	1	yes	characteristic
1086	#95	C₂³×C₅₉	1	1	yes	characteristic
1087	C₂⁴	—	2	2	no	—
1088	C₂⁴	—	2	2	no	—
1089	C₂⁴	—	4	1	no	—
1090	C₂⁴	—	4	1	no	—
1091	C₂⁴	—	4	1	no	—
1092	C₂⁴	—	4	1	no	—
1093	C₂⁴	#41×C₅₉	1	4	yes	—
1094	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1095	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1096	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1097	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1098	C₂×Q₈	—	2	2	no	—
1099	C₂×Q₈	—	2	2	no	—
1100	C₂×Q₈	—	4	1	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	#41×C₅₉	1	4	yes	—
1143	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	2	2	no	—
1180	C₄⋊C₄	—	2	2	no	—
1181	C₄⋊C₄	—	2	2	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	#41×C₅₉	1	4	yes	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	4	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	4	1	no	—
1250	C₄²	—	4	1	no	—
1251	C₄²	—	4	1	no	—
1252	C₄²	—	4	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	8	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	4	4	no	—
1279	C₂³	—	8	2	no	—
1280	C₂³	—	8	2	no	—
1281	C₂³	—	8	2	no	—
1282	C₂³	—	8	2	no	—
1283	C₂³	C₂×#41×C₅₉	1	2	yes	—
1284	C₂³	C₂×#41×C₅₉	1	2	yes	—
1285	C₂³	C₂×#41×C₅₉	1	2	yes	—
1286	C₂³	C₂×#41×C₅₉	1	2	yes	—
1287	C₂³	C₂×#41×C₅₉	1	2	yes	—
1288	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1289	Q₈	—	4	4	no	—
1290	D₄	—	4	4	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	2	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	4	no	—
1373	C₂×C₄	—	4	4	no	—
1374	C₂×C₄	—	8	2	no	—
1375	C₂×C₄	—	8	2	no	—
1376	C₂×C₄	—	8	2	no	—
1377	C₂×C₄	—	8	2	no	—
1378	C₂×C₄	—	8	2	no	—
1379	C₂×C₄	—	8	2	no	—
1380	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1381	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1382	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1383	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1384	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	8	8	no	—
1413	C₂²	C₅₉×#529	1	4	yes	—
1414	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1415	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1416	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1417	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1418	C₂²	C₅₉×#585	1	1	yes	characteristic
1419	C₂²	C₅₉×#585	1	1	yes	characteristic
1420	C₂²	C₅₉×#585	1	1	yes	characteristic
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	4	1	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₂	—	2	4	no	—
1449	C₂	—	4	2	no	—
1450	C₂	—	4	2	no	—
1451	C₂	—	8	1	no	—
1452	C₂	C₂×C₅₉×#529	1	1	yes	characteristic
1453	C₂	C₅₉×#3491	1	1	yes	characteristic
1454	C₂	C₅₉×#3505	1	1	yes	characteristic
1455	C₂	C₅₉×#3505	1	1	yes	characteristic
1456	C₂	C₅₉×#3510	1	1	yes	characteristic
1457	C₂	C₅₉×#3513	1	1	yes	characteristic
1458	C₂	C₅₉×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
prime radical	C₂×#120×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×#2597	C₂	semidirect
2. C₅₉×#2595	C₂	semidirect
3. C₅₉×#2578	C₂	semidirect
4. C₅₉×#2577	C₂	semidirect
5. C₅₉×#2576	C₂	semidirect
6. C₅₉×#2575	C₂	semidirect
7. C₅₉×#2573	C₂	semidirect
8. C₅₉×#2573	C₂	semidirect
9. C₅₉×#2530	C₂	semidirect
10. C₅₉×#2527	C₂	semidirect
11. C₅₉×#2516	C₂	semidirect
12. C₅₉×#2510	C₂	semidirect
13. C₅₉×#2505	C₂	semidirect
14. C₅₉×#2494	C₂	semidirect
15. C₅₉×#2493	C₂	semidirect
16. C₅₉×#2488	C₂	semidirect
17. C₅₉×#2483	C₂	semidirect
18. C₅₉×#2477	C₂	semidirect
19. C₅₉×#2470	C₂	semidirect
20. C₅₉×#2458	C₂	semidirect
21. C₅₉×#2437	C₂	semidirect
22. C₅₉×#2421	C₂	semidirect
25. C₅₉×#2322	C₂	semidirect
27. C₅₉×#2313	C₂	semidirect
28. C₄×C₂²⋊Q₈×C₅₉	C₂	semidirect
29. C₅₉×#2290	C₂	semidirect
30. C₂×C₅₉×#388	C₂	semidirect
31. C₅₉×#2273	C₂	semidirect
37. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
39. C₂×#117×C₅₉	C₂²	semidirect
47. C₅₉×#401	C₂²	semidirect
48. C₅₉×#401	C₂²	semidirect
49. C₅₉×#400	C₂²	semidirect
50. C₅₉×#400	C₂²	semidirect
51. C₅₉×#400	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×#400	C₂²	semidirect
59. C₅₉×#398	C₂²	semidirect
68. C₅₉×#397	C₂²	semidirect
69. C₅₉×#397	C₂²	semidirect
70. C₅₉×#397	C₂²	semidirect
78. C₅₉×#393	C₂²	semidirect
79. C₅₉×#391	C₂²	semidirect
80. C₅₉×#391	C₂²	semidirect
83. C₅₉×#389	C₂²	semidirect
84. C₅₉×#389	C₂²	semidirect
85. C₅₉×#389	C₂²	semidirect
86. 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×#387	C₂²	semidirect
108. C₅₉×#387	C₂²	semidirect
109. C₅₉×#387	C₂²	semidirect
110. C₅₉×#387	C₂²	semidirect
111. C₅₉×#387	C₂²	semidirect
112. C₅₉×#387	C₂²	semidirect
113. C₅₉×#387	C₂²	semidirect
114. C₅₉×#387	C₂²	semidirect
115. C₅₉×#387	C₂²	semidirect
116. C₅₉×#387	C₂²	semidirect
117. C₅₉×#387	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
147. C₅₉×#385	C₂²	semidirect
148. C₅₉×#385	C₂²	semidirect
149. C₅₉×#383	C₂²	semidirect
150. C₅₉×#383	C₂²	semidirect
151. C₅₉×#382	C₂²	semidirect
152. C₅₉×#382	C₂²	semidirect
166. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
167. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
168. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
169. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
184. C₅₉×#376	C₂²	semidirect
655. #35379	C₅₉	direct (N × H)
719. #2597	C₂×C₅₉	semidirect
720. #2595	C₂×C₅₉	semidirect
721. #2578	C₂×C₅₉	semidirect
722. #2577	C₂×C₅₉	semidirect
723. #2576	C₂×C₅₉	semidirect
724. #2575	C₂×C₅₉	semidirect
725. #2573	C₂×C₅₉	semidirect
726. #2573	C₂×C₅₉	semidirect
727. #2530	C₂×C₅₉	semidirect
728. #2527	C₂×C₅₉	semidirect
729. #2516	C₂×C₅₉	semidirect
730. #2510	C₂×C₅₉	semidirect
731. #2505	C₂×C₅₉	semidirect
732. #2494	C₂×C₅₉	semidirect
733. #2493	C₂×C₅₉	semidirect
734. #2488	C₂×C₅₉	semidirect
735. #2483	C₂×C₅₉	semidirect
736. #2477	C₂×C₅₉	semidirect
737. #2470	C₂×C₅₉	semidirect
738. #2458	C₂×C₅₉	semidirect
739. #2437	C₂×C₅₉	semidirect
740. #2421	C₂×C₅₉	semidirect
743. #2322	C₂×C₅₉	semidirect
745. #2313	C₂×C₅₉	semidirect
746. C₄×C₂²⋊Q₈	C₂×C₅₉	semidirect
747. #2290	C₂×C₅₉	semidirect
748. C₂×#388	C₂×C₅₉	semidirect
749. #2273	C₂×C₅₉	semidirect
766. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
768. C₂×#117	C₂²×C₅₉	semidirect
776. #401	C₂²×C₅₉	semidirect
777. #401	C₂²×C₅₉	semidirect
778. #400	C₂²×C₅₉	semidirect
779. #400	C₂²×C₅₉	semidirect
780. #400	C₂²×C₅₉	semidirect
781. #400	C₂²×C₅₉	semidirect
782. #400	C₂²×C₅₉	semidirect
783. #400	C₂²×C₅₉	semidirect
784. #400	C₂²×C₅₉	semidirect
785. #400	C₂²×C₅₉	semidirect
786. #400	C₂²×C₅₉	semidirect
788. #398	C₂²×C₅₉	semidirect
797. #397	C₂²×C₅₉	semidirect
798. #397	C₂²×C₅₉	semidirect
799. #397	C₂²×C₅₉	semidirect
807. #393	C₂²×C₅₉	semidirect
808. #391	C₂²×C₅₉	semidirect
809. #391	C₂²×C₅₉	semidirect
812. #389	C₂²×C₅₉	semidirect
813. #389	C₂²×C₅₉	semidirect
814. #389	C₂²×C₅₉	semidirect
815. #389	C₂²×C₅₉	semidirect
828. #388	C₂²×C₅₉	semidirect
829. #388	C₂²×C₅₉	semidirect
830. #388	C₂²×C₅₉	semidirect
831. #388	C₂²×C₅₉	semidirect
832. #388	C₂²×C₅₉	semidirect
833. #388	C₂²×C₅₉	semidirect
834. #388	C₂²×C₅₉	semidirect
835. #388	C₂²×C₅₉	semidirect
836. #387	C₂²×C₅₉	semidirect
837. #387	C₂²×C₅₉	semidirect
838. #387	C₂²×C₅₉	semidirect
839. #387	C₂²×C₅₉	semidirect
840. #387	C₂²×C₅₉	semidirect
841. #387	C₂²×C₅₉	semidirect
842. #387	C₂²×C₅₉	semidirect
843. #387	C₂²×C₅₉	semidirect
844. #387	C₂²×C₅₉	semidirect
845. #387	C₂²×C₅₉	semidirect
846. #387	C₂²×C₅₉	semidirect
847. #387	C₂²×C₅₉	semidirect
848. #387	C₂²×C₅₉	semidirect
849. #387	C₂²×C₅₉	semidirect
850. #387	C₂²×C₅₉	semidirect
851. #387	C₂²×C₅₉	semidirect
852. #387	C₂²×C₅₉	semidirect
853. #387	C₂²×C₅₉	semidirect
854. #387	C₂²×C₅₉	semidirect
855. #387	C₂²×C₅₉	semidirect
876. #385	C₂²×C₅₉	semidirect
877. #385	C₂²×C₅₉	semidirect
878. #383	C₂²×C₅₉	semidirect
879. #383	C₂²×C₅₉	semidirect
880. #382	C₂²×C₅₉	semidirect
881. #382	C₂²×C₅₉	semidirect
895. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
896. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
897. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
898. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
912. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
913. #376	C₂²×C₅₉	semidirect
916. C₅₉	#35379	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×#2597	2
C₅₉×#2595	2
C₅₉×#2578	2
C₅₉×#2577	2
C₅₉×#2576	2
C₅₉×#2575	2
C₅₉×#2573	2
C₅₉×#2530	2
C₅₉×#2527	2
C₅₉×#2516	2
C₅₉×#2510	2
C₅₉×#2505	2
C₅₉×#2494	2
C₅₉×#2493	2
C₅₉×#2488	2
C₅₉×#2483	2
C₅₉×#2477	2
C₅₉×#2470	2
C₅₉×#2458	2
C₅₉×#2437	2
C₅₉×#2421	2
C₅₉×#2412	2
C₅₉×#2322	2
C₅₉×#2321	2
C₅₉×#2313	2
C₄×C₂²⋊Q₈×C₅₉	2
C₅₉×#2290	2
C₂×C₅₉×#388	2
C₅₉×#2273	2
#35379	59

Subgroups — C59×#35379 #28447488

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35379 #28447488