Subgroups — C₅₉×#36914 #28449023

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#2850	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2781	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2775	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2763	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2761	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2753	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2749	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2730	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#2700	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#2700	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#2688	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#2688	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#2684	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#2684	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2678	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2672	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#2670	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#2662	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#2650	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2560	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#2555	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2516	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#2513	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#2480	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#2463	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#2459	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#2424	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#2337	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₉×#2321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#123×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#126×C₅₉	C₂²	1	1	yes	characteristic
33	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
34	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
35	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
36	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
37	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
44	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
45	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×#120×C₅₉	C₂²	1	1	yes	characteristic
47	C₂×#120×C₅₉	C₂²	1	1	yes	characteristic
48	C₂×#120×C₅₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
52	C₂²×C₄²×C₅₉	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×#398	C₂²	1	1	yes	characteristic, complemented
59	C₅₉×#397	C₂²	1	1	yes	characteristic
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, 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
71	C₅₉×#396	C₂²	1	1	yes	characteristic
72	C₅₉×#396	C₂²	1	1	yes	characteristic
73	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
74	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#395	C₂²	1	1	yes	characteristic, complemented
76	C₅₉×#395	C₂²	1	1	yes	characteristic, complemented
77	C₅₉×#395	C₂²	1	1	yes	characteristic, complemented
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×#394	C₂²	1	1	yes	characteristic
88	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
90	C₅₉×#393	C₂²	1	1	yes	characteristic
91	C₅₉×#393	C₂²	1	1	yes	characteristic
92	C₅₉×#393	C₂²	1	1	yes	characteristic
93	C₅₉×#393	C₂²	1	1	yes	characteristic
94	C₅₉×#393	C₂²	1	1	yes	characteristic
95	C₅₉×#392	C₂²	1	1	yes	characteristic
96	C₅₉×#392	C₂²	1	1	yes	characteristic
97	C₅₉×#392	C₂²	1	1	yes	characteristic
98	C₅₉×#392	C₂²	1	1	yes	characteristic
99	C₅₉×#392	C₂²	1	1	yes	characteristic
100	C₅₉×#392	C₂²	1	1	yes	characteristic
101	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
102	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
103	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
104	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
105	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
106	C₅₉×#390	C₂²	1	1	yes	characteristic
107	C₅₉×#390	C₂²	1	1	yes	characteristic
108	C₅₉×#390	C₂²	1	1	yes	characteristic
109	C₅₉×#390	C₂²	1	1	yes	characteristic
110	C₅₉×#390	C₂²	1	1	yes	characteristic
111	C₅₉×#390	C₂²	1	1	yes	characteristic
112	C₅₉×#390	C₂²	1	1	yes	characteristic
113	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#388	C₂²	1	1	yes	characteristic
115	C₅₉×#388	C₂²	1	1	yes	characteristic
116	C₅₉×#388	C₂²	1	1	yes	characteristic
117	C₅₉×#388	C₂²	1	1	yes	characteristic
118	C₅₉×#388	C₂²	1	1	yes	characteristic
119	C₅₉×#388	C₂²	1	1	yes	characteristic
120	C₅₉×#388	C₂²	1	1	yes	characteristic
121	C₅₉×#388	C₂²	1	1	yes	characteristic
122	C₅₉×#388	C₂²	1	1	yes	characteristic
123	C₅₉×#388	C₂²	1	1	yes	characteristic
124	C₅₉×#388	C₂²	1	1	yes	characteristic
125	C₅₉×#388	C₂²	1	1	yes	characteristic
126	C₅₉×#388	C₂²	1	1	yes	characteristic
127	C₅₉×#388	C₂²	1	1	yes	characteristic
128	C₅₉×#388	C₂²	1	1	yes	characteristic
129	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
130	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
131	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
132	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
133	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
134	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
135	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
136	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
137	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
138	C₅₉×#388	C₂²	1	1	yes	characteristic, complemented
139	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
140	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
141	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
142	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
143	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
144	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
145	C₅₉×#386	C₂²	1	1	yes	characteristic
146	C₅₉×#386	C₂²	1	1	yes	characteristic
147	C₅₉×#386	C₂²	1	1	yes	characteristic
148	C₅₉×#386	C₂²	1	1	yes	characteristic
149	C₅₉×#386	C₂²	1	1	yes	characteristic
150	C₅₉×#386	C₂²	1	1	yes	characteristic
151	C₅₉×#386	C₂²	1	1	yes	characteristic
152	C₅₉×#386	C₂²	1	1	yes	characteristic
153	C₅₉×#386	C₂²	1	1	yes	characteristic
154	C₅₉×#386	C₂²	1	1	yes	characteristic
155	C₅₉×#386	C₂²	1	1	yes	characteristic
156	C₅₉×#386	C₂²	1	1	yes	characteristic
157	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
158	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
159	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
160	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
161	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
162	C₅₉×#386	C₂²	1	1	yes	characteristic, complemented
163	C₅₉×#385	C₂²	1	1	yes	characteristic
164	C₅₉×#385	C₂²	1	1	yes	characteristic
165	C₅₉×#385	C₂²	1	1	yes	characteristic
166	C₅₉×#385	C₂²	1	1	yes	characteristic
167	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
168	C₅₉×#385	C₂²	1	1	yes	characteristic, complemented
169	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
170	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
171	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
172	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
173	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
174	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
175	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
176	C₅₉×#380	C₂²	1	1	yes	characteristic
177	C₅₉×#379	C₂²	1	1	yes	characteristic
178	C₅₉×#379	C₂²	1	1	yes	characteristic
179	C₅₉×#379	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
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	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
202	C₂²×D₄×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	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
210	#126×C₅₉	—	4	2	no	—
211	#124×C₅₉	—	2	4	no	—
212	#124×C₅₉	—	4	2	no	—
213	#124×C₅₉	—	4	2	no	—
214	#124×C₅₉	—	4	2	no	—
215	#124×C₅₉	—	4	2	no	—
216	#123×C₅₉	—	2	4	no	—
217	C₂²⋊Q₈×C₅₉	—	4	2	no	—
218	C₂²⋊Q₈×C₅₉	—	4	2	no	—
219	C₂²⋊Q₈×C₅₉	—	4	2	no	—
220	#121×C₅₉	—	4	2	no	—
221	#121×C₅₉	—	4	2	no	—
222	#121×C₅₉	—	4	2	no	—
223	#121×C₅₉	—	4	2	no	—
224	#120×C₅₉	—	2	4	no	—
225	#120×C₅₉	—	4	2	no	—
226	#120×C₅₉	—	4	2	no	—
227	C₄×D₄×C₅₉	—	4	2	no	—
228	C₄×D₄×C₅₉	—	4	2	no	—
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×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₅₉	—	4	2	no	—
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	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
320	C₂×C₄²×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	—	4	1	no	—
365	C₂⁴×C₅₉	—	4	1	no	—
366	C₂⁴×C₅₉	—	4	1	no	—
367	C₂⁴×C₅₉	—	4	1	no	—
368	C₂⁴×C₅₉	—	4	1	no	—
369	C₂⁴×C₅₉	—	4	1	no	—
370	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
376	C₂×Q₈×C₅₉	—	2	2	no	—
377	C₂×Q₈×C₅₉	—	2	2	no	—
378	C₂×Q₈×C₅₉	—	4	1	no	—
379	C₂×Q₈×C₅₉	—	4	1	no	—
380	C₂×Q₈×C₅₉	—	4	1	no	—
381	C₂×Q₈×C₅₉	—	4	1	no	—
382	C₂×Q₈×C₅₉	—	4	1	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	—	2	2	no	—
394	C₂×D₄×C₅₉	—	2	2	no	—
395	C₂×D₄×C₅₉	—	2	2	no	—
396	C₂×D₄×C₅₉	—	4	1	no	—
397	C₂×D₄×C₅₉	—	4	1	no	—
398	C₂×D₄×C₅₉	—	4	1	no	—
399	C₂×D₄×C₅₉	—	4	1	no	—
400	C₂×D₄×C₅₉	—	4	1	no	—
401	C₂×D₄×C₅₉	—	4	1	no	—
402	C₂×D₄×C₅₉	—	4	1	no	—
403	C₂×D₄×C₅₉	—	4	1	no	—
404	C₂×D₄×C₅₉	—	4	1	no	—
405	C₂×D₄×C₅₉	—	4	1	no	—
406	C₂×D₄×C₅₉	—	4	1	no	—
407	C₂×D₄×C₅₉	—	4	1	no	—
408	C₂×D₄×C₅₉	—	4	1	no	—
409	C₂×D₄×C₅₉	—	4	1	no	—
410	C₂×D₄×C₅₉	—	4	1	no	—
411	C₂×D₄×C₅₉	—	4	1	no	—
412	C₂×D₄×C₅₉	—	4	1	no	—
413	C₂×D₄×C₅₉	—	4	1	no	—
414	C₂×D₄×C₅₉	—	4	1	no	—
415	C₂×D₄×C₅₉	—	4	1	no	—
416	C₂×D₄×C₅₉	—	4	1	no	—
417	C₂×D₄×C₅₉	—	4	1	no	—
418	C₂×D₄×C₅₉	—	4	1	no	—
419	C₂×D₄×C₅₉	—	4	1	no	—
420	C₂×D₄×C₅₉	—	4	1	no	—
421	C₂²×C₄×C₅₉	—	2	2	no	—
422	C₂²×C₄×C₅₉	—	2	2	no	—
423	C₂²×C₄×C₅₉	—	2	2	no	—
424	C₂²×C₄×C₅₉	—	2	2	no	—
425	C₂²×C₄×C₅₉	—	2	2	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	—	4	1	no	—
431	C₂²×C₄×C₅₉	—	4	1	no	—
432	C₂²×C₄×C₅₉	—	4	1	no	—
433	C₂²×C₄×C₅₉	—	4	1	no	—
434	C₂²×C₄×C₅₉	—	4	1	no	—
435	C₂²×C₄×C₅₉	—	4	1	no	—
436	C₂²×C₄×C₅₉	—	4	1	no	—
437	C₂²×C₄×C₅₉	—	4	1	no	—
438	C₂²×C₄×C₅₉	—	4	1	no	—
439	C₂²×C₄×C₅₉	—	4	1	no	—
440	C₂²×C₄×C₅₉	—	4	1	no	—
441	C₂²×C₄×C₅₉	—	4	1	no	—
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	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
467	C₄⋊C₄×C₅₉	—	2	2	no	—
468	C₄⋊C₄×C₅₉	—	2	2	no	—
469	C₄⋊C₄×C₅₉	—	2	2	no	—
470	C₄⋊C₄×C₅₉	—	2	2	no	—
471	C₄⋊C₄×C₅₉	—	2	2	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	C₄⋊C₄×C₅₉	—	4	1	no	—
485	C₄⋊C₄×C₅₉	—	4	1	no	—
486	C₄⋊C₄×C₅₉	—	4	1	no	—
487	C₄⋊C₄×C₅₉	—	4	1	no	—
488	C₄⋊C₄×C₅₉	—	4	1	no	—
489	C₄⋊C₄×C₅₉	—	4	1	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	—	4	1	no	—
508	C₂²⋊C₄×C₅₉	—	4	1	no	—
509	C₂²⋊C₄×C₅₉	—	4	1	no	—
510	C₂²⋊C₄×C₅₉	—	4	1	no	—
511	C₂²⋊C₄×C₅₉	—	4	1	no	—
512	C₂²⋊C₄×C₅₉	—	4	1	no	—
513	C₂²⋊C₄×C₅₉	—	4	1	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	—	4	1	no	—
534	C₂²⋊C₄×C₅₉	—	4	1	no	—
535	C₂²⋊C₄×C₅₉	—	4	1	no	—
536	C₂²⋊C₄×C₅₉	—	4	1	no	—
537	C₂²⋊C₄×C₅₉	—	4	1	no	—
538	C₂²⋊C₄×C₅₉	—	4	1	no	—
539	C₂²⋊C₄×C₅₉	—	4	1	no	—
540	C₂²⋊C₄×C₅₉	—	4	1	no	—
541	C₂²⋊C₄×C₅₉	—	4	1	no	—
542	C₂²⋊C₄×C₅₉	—	4	1	no	—
543	C₂²⋊C₄×C₅₉	—	4	1	no	—
544	C₂²⋊C₄×C₅₉	—	4	1	no	—
545	C₂²⋊C₄×C₅₉	#41	1	4	yes	—
546	C₄²×C₅₉	—	2	2	no	—
547	C₄²×C₅₉	—	2	2	no	—
548	C₄²×C₅₉	—	2	2	no	—
549	C₄²×C₅₉	—	2	2	no	—
550	C₄²×C₅₉	—	4	1	no	—
551	C₄²×C₅₉	—	4	1	no	—
552	C₄²×C₅₉	—	4	1	no	—
553	C₄²×C₅₉	—	4	1	no	—
554	C₄²×C₅₉	—	4	1	no	—
555	C₄²×C₅₉	—	4	1	no	—
556	C₄²×C₅₉	—	4	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	1	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	—	2	1	no	—
579	C₂³×C₅₉	—	2	1	no	—
580	C₂³×C₅₉	—	2	1	no	—
581	C₂³×C₅₉	—	2	1	no	—
582	C₂³×C₅₉	—	2	1	no	—
583	C₂³×C₅₉	—	2	1	no	—
584	C₂³×C₅₉	—	2	1	no	—
585	C₂³×C₅₉	—	2	1	no	—
586	C₂³×C₅₉	—	2	1	no	—
587	C₂³×C₅₉	—	2	1	no	—
588	C₂³×C₅₉	—	2	1	no	—
589	C₂³×C₅₉	—	2	1	no	—
590	C₂³×C₅₉	—	2	1	no	—
591	C₂³×C₅₉	—	2	1	no	—
592	C₂³×C₅₉	—	2	1	no	—
593	C₂³×C₅₉	—	2	1	no	—
594	C₂³×C₅₉	—	2	1	no	—
595	C₂³×C₅₉	—	2	1	no	—
596	C₂³×C₅₉	—	2	1	no	—
597	C₂³×C₅₉	—	4	4	no	—
598	C₂³×C₅₉	—	8	2	no	—
599	C₂³×C₅₉	—	8	2	no	—
600	C₂³×C₅₉	—	8	2	no	—
601	C₂³×C₅₉	—	8	2	no	—
602	C₂³×C₅₉	—	8	2	no	—
603	C₂³×C₅₉	—	8	2	no	—
604	C₂³×C₅₉	C₂×#41	1	2	yes	—
605	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
606	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
607	Q₈×C₅₉	—	8	2	no	—
608	Q₈×C₅₉	—	8	2	no	—
609	Q₈×C₅₉	—	8	2	no	—
610	D₄×C₅₉	—	4	4	no	—
611	D₄×C₅₉	—	4	4	no	—
612	D₄×C₅₉	—	8	2	no	—
613	D₄×C₅₉	—	8	2	no	—
614	D₄×C₅₉	—	8	2	no	—
615	D₄×C₅₉	—	8	2	no	—
616	D₄×C₅₉	—	8	2	no	—
617	D₄×C₅₉	—	8	2	no	—
618	D₄×C₅₉	—	8	2	no	—
619	D₄×C₅₉	—	8	2	no	—
620	D₄×C₅₉	—	8	2	no	—
621	D₄×C₅₉	—	8	2	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	—	2	1	no	—
677	C₂×C₄×C₅₉	—	2	1	no	—
678	C₂×C₄×C₅₉	—	2	1	no	—
679	C₂×C₄×C₅₉	—	2	1	no	—
680	C₂×C₄×C₅₉	—	2	1	no	—
681	C₂×C₄×C₅₉	—	2	1	no	—
682	C₂×C₄×C₅₉	—	2	1	no	—
683	C₂×C₄×C₅₉	—	2	1	no	—
684	C₂×C₄×C₅₉	—	2	1	no	—
685	C₂×C₄×C₅₉	—	2	1	no	—
686	C₂×C₄×C₅₉	—	2	1	no	—
687	C₂×C₄×C₅₉	—	2	1	no	—
688	C₂×C₄×C₅₉	—	2	1	no	—
689	C₂×C₄×C₅₉	—	2	1	no	—
690	C₂×C₄×C₅₉	—	2	1	no	—
691	C₂×C₄×C₅₉	—	2	1	no	—
692	C₂×C₄×C₅₉	—	2	1	no	—
693	C₂×C₄×C₅₉	—	4	4	no	—
694	C₂×C₄×C₅₉	—	4	4	no	—
695	C₂×C₄×C₅₉	—	4	4	no	—
696	C₂×C₄×C₅₉	—	8	2	no	—
697	C₂×C₄×C₅₉	—	8	2	no	—
698	C₂×C₄×C₅₉	—	8	2	no	—
699	C₂×C₄×C₅₉	—	8	2	no	—
700	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
701	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
702	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
703	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
704	#36914	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
705	C₂²×C₅₉	—	2	2	no	—
706	C₂²×C₅₉	—	2	2	no	—
707	C₂²×C₅₉	—	2	2	no	—
708	C₂²×C₅₉	—	2	2	no	—
709	C₂²×C₅₉	—	2	2	no	—
710	C₂²×C₅₉	—	2	2	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	—	4	1	no	—
728	C₂²×C₅₉	—	4	1	no	—
729	C₂²×C₅₉	—	4	1	no	—
730	C₂²×C₅₉	—	4	1	no	—
731	C₂²×C₅₉	—	4	1	no	—
732	C₂²×C₅₉	—	4	1	no	—
733	C₂²×C₅₉	—	4	1	no	—
734	C₂²×C₅₉	—	4	1	no	—
735	C₂²×C₅₉	—	4	1	no	—
736	C₂²×C₅₉	—	4	1	no	—
737	C₂²×C₅₉	—	4	1	no	—
738	C₂²×C₅₉	—	4	1	no	—
739	C₂²×C₅₉	—	4	1	no	—
740	C₂²×C₅₉	—	4	1	no	—
741	C₂²×C₅₉	—	4	1	no	—
742	C₂²×C₅₉	—	4	1	no	—
743	C₂²×C₅₉	—	4	1	no	—
744	C₂²×C₅₉	—	4	1	no	—
745	C₂²×C₅₉	—	4	1	no	—
746	C₂²×C₅₉	—	4	1	no	—
747	C₂²×C₅₉	—	8	8	no	—
748	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
749	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
750	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
751	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
752	C₂²×C₅₉	#585	1	1	yes	characteristic
753	C₂²×C₅₉	#585	1	1	yes	characteristic
754	C₂²×C₅₉	#585	1	1	yes	characteristic
755	C₄×C₅₉	—	2	2	no	—
756	C₄×C₅₉	—	2	2	no	—
757	C₄×C₅₉	—	2	2	no	—
758	C₄×C₅₉	—	2	2	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	C₄×C₅₉	—	4	1	no	—
764	C₄×C₅₉	—	4	1	no	—
765	C₄×C₅₉	—	4	1	no	—
766	C₄×C₅₉	—	4	1	no	—
767	C₄×C₅₉	—	4	1	no	—
768	C₄×C₅₉	—	4	1	no	—
769	C₄×C₅₉	—	4	1	no	—
770	C₄×C₅₉	—	4	1	no	—
771	C₄×C₅₉	—	4	1	no	—
772	C₄×C₅₉	—	4	1	no	—
773	C₄×C₅₉	—	4	1	no	—
774	C₄×C₅₉	—	4	1	no	—
775	C₄×C₅₉	—	4	1	no	—
776	C₄×C₅₉	—	4	1	no	—
777	C₄×C₅₉	—	4	1	no	—
778	C₄×C₅₉	—	4	1	no	—
779	C₄×C₅₉	—	4	1	no	—
780	#2850	C₂×C₅₉	1	1	yes	characteristic, complemented
781	#2850	C₂×C₅₉	1	1	yes	characteristic, complemented
782	#2781	C₂×C₅₉	1	1	yes	characteristic, complemented
783	#2775	C₂×C₅₉	1	1	yes	characteristic, complemented
784	#2763	C₂×C₅₉	1	1	yes	characteristic, complemented
785	#2761	C₂×C₅₉	1	1	yes	characteristic, complemented
786	#2753	C₂×C₅₉	1	1	yes	characteristic, complemented
787	#2749	C₂×C₅₉	1	1	yes	characteristic, complemented
788	#2730	C₂×C₅₉	1	1	yes	characteristic, complemented
789	#2700	C₂×C₅₉	1	1	yes	characteristic, complemented
790	#2700	C₂×C₅₉	1	1	yes	characteristic, complemented
791	#2688	C₂×C₅₉	1	1	yes	characteristic, complemented
792	#2688	C₂×C₅₉	1	1	yes	characteristic, complemented
793	#2684	C₂×C₅₉	1	1	yes	characteristic, complemented
794	#2684	C₂×C₅₉	1	1	yes	characteristic, complemented
795	#2678	C₂×C₅₉	1	1	yes	characteristic, complemented
796	#2672	C₂×C₅₉	1	1	yes	characteristic, complemented
797	#2670	C₂×C₅₉	1	1	yes	characteristic, complemented
798	#2662	C₂×C₅₉	1	1	yes	characteristic, complemented
799	#2650	C₂×C₅₉	1	1	yes	characteristic, complemented
800	#2560	C₂×C₅₉	1	1	yes	characteristic, complemented
801	#2555	C₂×C₅₉	1	1	yes	characteristic, complemented
802	#2516	C₂×C₅₉	1	1	yes	characteristic, complemented
803	#2513	C₂×C₅₉	1	1	yes	characteristic, complemented
804	#2480	C₂×C₅₉	1	1	yes	characteristic, complemented
805	#2463	C₂×C₅₉	1	1	yes	characteristic, complemented
806	#2459	C₂×C₅₉	1	1	yes	characteristic, complemented
807	#2424	C₂×C₅₉	1	1	yes	characteristic, complemented
808	#2337	C₂×C₅₉	1	1	yes	characteristic, complemented
809	#2321	C₂×C₅₉	1	1	yes	characteristic, complemented
810	C₄×#123	C₂×C₅₉	1	1	yes	characteristic, complemented
811	C₂×C₅₉	—	4	2	no	—
812	C₂×C₅₉	—	4	2	no	—
813	C₂×C₅₉	—	8	1	no	—
814	C₂×C₅₉	—	8	1	no	—
815	C₂×C₅₉	—	8	1	no	—
816	C₂×C₅₉	—	8	1	no	—
817	C₂×C₅₉	#3460	1	1	yes	characteristic
818	C₂×C₅₉	#3519	1	1	yes	characteristic
819	C₂×C₅₉	#3521	1	1	yes	characteristic
820	C₂×C₅₉	#3534	1	1	yes	characteristic
821	C₂×C₅₉	#3540	1	1	yes	characteristic
822	C₂×C₅₉	#3545	1	1	yes	characteristic
823	C₂×C₅₉	#3558	1	1	yes	characteristic
824	C₂×#126	C₂²×C₅₉	1	1	yes	characteristic
825	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
826	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
827	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
828	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
829	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic, complemented
830	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
831	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
832	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
833	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
834	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
835	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
836	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
837	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic, complemented
838	C₂×#120	C₂²×C₅₉	1	1	yes	characteristic
839	C₂×#120	C₂²×C₅₉	1	1	yes	characteristic
840	C₂×#120	C₂²×C₅₉	1	1	yes	characteristic
841	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
842	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
843	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
844	C₂²×C₄²	C₂²×C₅₉	1	1	yes	characteristic, complemented
845	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
846	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
847	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
848	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
849	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
850	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
851	#397	C₂²×C₅₉	1	1	yes	characteristic
852	#397	C₂²×C₅₉	1	1	yes	characteristic
853	#397	C₂²×C₅₉	1	1	yes	characteristic
854	#397	C₂²×C₅₉	1	1	yes	characteristic
855	#397	C₂²×C₅₉	1	1	yes	characteristic
856	#397	C₂²×C₅₉	1	1	yes	characteristic
857	#397	C₂²×C₅₉	1	1	yes	characteristic
858	#397	C₂²×C₅₉	1	1	yes	characteristic
859	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
860	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
861	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
862	#396	C₂²×C₅₉	1	1	yes	characteristic
863	#396	C₂²×C₅₉	1	1	yes	characteristic
864	#396	C₂²×C₅₉	1	1	yes	characteristic
865	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
866	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
867	#395	C₂²×C₅₉	1	1	yes	characteristic, complemented
868	#395	C₂²×C₅₉	1	1	yes	characteristic, complemented
869	#395	C₂²×C₅₉	1	1	yes	characteristic, complemented
870	#394	C₂²×C₅₉	1	1	yes	characteristic
871	#394	C₂²×C₅₉	1	1	yes	characteristic
872	#394	C₂²×C₅₉	1	1	yes	characteristic
873	#394	C₂²×C₅₉	1	1	yes	characteristic
874	#394	C₂²×C₅₉	1	1	yes	characteristic
875	#394	C₂²×C₅₉	1	1	yes	characteristic
876	#394	C₂²×C₅₉	1	1	yes	characteristic
877	#394	C₂²×C₅₉	1	1	yes	characteristic
878	#394	C₂²×C₅₉	1	1	yes	characteristic
879	#394	C₂²×C₅₉	1	1	yes	characteristic
880	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
881	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
882	#393	C₂²×C₅₉	1	1	yes	characteristic
883	#393	C₂²×C₅₉	1	1	yes	characteristic
884	#393	C₂²×C₅₉	1	1	yes	characteristic
885	#393	C₂²×C₅₉	1	1	yes	characteristic
886	#393	C₂²×C₅₉	1	1	yes	characteristic
887	#392	C₂²×C₅₉	1	1	yes	characteristic
888	#392	C₂²×C₅₉	1	1	yes	characteristic
889	#392	C₂²×C₅₉	1	1	yes	characteristic
890	#392	C₂²×C₅₉	1	1	yes	characteristic
891	#392	C₂²×C₅₉	1	1	yes	characteristic
892	#392	C₂²×C₅₉	1	1	yes	characteristic
893	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
894	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
895	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
896	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
897	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
898	#390	C₂²×C₅₉	1	1	yes	characteristic
899	#390	C₂²×C₅₉	1	1	yes	characteristic
900	#390	C₂²×C₅₉	1	1	yes	characteristic
901	#390	C₂²×C₅₉	1	1	yes	characteristic
902	#390	C₂²×C₅₉	1	1	yes	characteristic
903	#390	C₂²×C₅₉	1	1	yes	characteristic
904	#390	C₂²×C₅₉	1	1	yes	characteristic
905	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
906	#388	C₂²×C₅₉	1	1	yes	characteristic
907	#388	C₂²×C₅₉	1	1	yes	characteristic
908	#388	C₂²×C₅₉	1	1	yes	characteristic
909	#388	C₂²×C₅₉	1	1	yes	characteristic
910	#388	C₂²×C₅₉	1	1	yes	characteristic
911	#388	C₂²×C₅₉	1	1	yes	characteristic
912	#388	C₂²×C₅₉	1	1	yes	characteristic
913	#388	C₂²×C₅₉	1	1	yes	characteristic
914	#388	C₂²×C₅₉	1	1	yes	characteristic
915	#388	C₂²×C₅₉	1	1	yes	characteristic
916	#388	C₂²×C₅₉	1	1	yes	characteristic
917	#388	C₂²×C₅₉	1	1	yes	characteristic
918	#388	C₂²×C₅₉	1	1	yes	characteristic
919	#388	C₂²×C₅₉	1	1	yes	characteristic
920	#388	C₂²×C₅₉	1	1	yes	characteristic
921	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
922	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
923	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
924	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
925	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
926	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
927	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
928	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
929	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
930	#388	C₂²×C₅₉	1	1	yes	characteristic, complemented
931	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
932	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
933	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
934	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
935	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
936	#387	C₂²×C₅₉	1	1	yes	characteristic, complemented
937	#386	C₂²×C₅₉	1	1	yes	characteristic
938	#386	C₂²×C₅₉	1	1	yes	characteristic
939	#386	C₂²×C₅₉	1	1	yes	characteristic
940	#386	C₂²×C₅₉	1	1	yes	characteristic
941	#386	C₂²×C₅₉	1	1	yes	characteristic
942	#386	C₂²×C₅₉	1	1	yes	characteristic
943	#386	C₂²×C₅₉	1	1	yes	characteristic
944	#386	C₂²×C₅₉	1	1	yes	characteristic
945	#386	C₂²×C₅₉	1	1	yes	characteristic
946	#386	C₂²×C₅₉	1	1	yes	characteristic
947	#386	C₂²×C₅₉	1	1	yes	characteristic
948	#386	C₂²×C₅₉	1	1	yes	characteristic
949	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
950	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
951	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
952	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
953	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
954	#386	C₂²×C₅₉	1	1	yes	characteristic, complemented
955	#385	C₂²×C₅₉	1	1	yes	characteristic
956	#385	C₂²×C₅₉	1	1	yes	characteristic
957	#385	C₂²×C₅₉	1	1	yes	characteristic
958	#385	C₂²×C₅₉	1	1	yes	characteristic
959	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
960	#385	C₂²×C₅₉	1	1	yes	characteristic, complemented
961	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
962	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
963	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
964	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
965	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
966	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
967	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
968	#380	C₂²×C₅₉	1	1	yes	characteristic
969	#379	C₂²×C₅₉	1	1	yes	characteristic
970	#379	C₂²×C₅₉	1	1	yes	characteristic
971	#379	C₂²×C₅₉	1	1	yes	characteristic
972	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
973	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
974	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
975	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
976	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
977	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
978	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
979	C₅₉	#36914	1	1	yes	characteristic, direct product factor, Sylow
980	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
981	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
982	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
983	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
984	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
985	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
987	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
988	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
989	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
990	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
991	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
992	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
993	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
994	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
995	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
996	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1000	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1002	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1003	#126	—	4	2	no	—
1004	#124	—	2	4	no	—
1005	#124	—	4	2	no	—
1006	#124	—	4	2	no	—
1007	#124	—	4	2	no	—
1008	#124	—	4	2	no	—
1009	#123	—	2	4	no	—
1010	C₂²⋊Q₈	—	4	2	no	—
1011	C₂²⋊Q₈	—	4	2	no	—
1012	C₂²⋊Q₈	—	4	2	no	—
1013	#121	—	4	2	no	—
1014	#121	—	4	2	no	—
1015	#121	—	4	2	no	—
1016	#121	—	4	2	no	—
1017	#120	—	2	4	no	—
1018	#120	—	4	2	no	—
1019	#120	—	4	2	no	—
1020	C₄×D₄	—	4	2	no	—
1021	C₄×D₄	—	4	2	no	—
1022	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1102	C₂×C₄²	—	4	2	no	—
1103	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1104	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1106	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1107	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1108	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1109	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1110	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1111	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1112	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1113	C₂×C₄²	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	#95	C₂³×C₅₉	1	1	yes	characteristic
1139	#95	C₂³×C₅₉	1	1	yes	characteristic
1140	#95	C₂³×C₅₉	1	1	yes	characteristic
1141	#95	C₂³×C₅₉	1	1	yes	characteristic
1142	#95	C₂³×C₅₉	1	1	yes	characteristic
1143	#95	C₂³×C₅₉	1	1	yes	characteristic
1144	#95	C₂³×C₅₉	1	1	yes	characteristic
1145	#95	C₂³×C₅₉	1	1	yes	characteristic
1146	#95	C₂³×C₅₉	1	1	yes	characteristic
1147	#95	C₂³×C₅₉	1	1	yes	characteristic
1148	#95	C₂³×C₅₉	1	1	yes	characteristic
1149	#95	C₂³×C₅₉	1	1	yes	characteristic
1150	#95	C₂³×C₅₉	1	1	yes	characteristic
1151	#95	C₂³×C₅₉	1	1	yes	characteristic
1152	#95	C₂³×C₅₉	1	1	yes	characteristic
1153	#95	C₂³×C₅₉	1	1	yes	characteristic
1154	#95	C₂³×C₅₉	1	1	yes	characteristic
1155	#95	C₂³×C₅₉	1	1	yes	characteristic
1156	C₂⁴	—	2	2	no	—
1157	C₂⁴	—	4	1	no	—
1158	C₂⁴	—	4	1	no	—
1159	C₂⁴	—	4	1	no	—
1160	C₂⁴	—	4	1	no	—
1161	C₂⁴	—	4	1	no	—
1162	C₂⁴	—	4	1	no	—
1163	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1164	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1165	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1166	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1167	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1168	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
1169	C₂×Q₈	—	2	2	no	—
1170	C₂×Q₈	—	2	2	no	—
1171	C₂×Q₈	—	4	1	no	—
1172	C₂×Q₈	—	4	1	no	—
1173	C₂×Q₈	—	4	1	no	—
1174	C₂×Q₈	—	4	1	no	—
1175	C₂×Q₈	—	4	1	no	—
1176	C₂×Q₈	—	4	1	no	—
1177	C₂×Q₈	—	4	1	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	2	2	no	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	2	2	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	—	4	1	no	—
1212	C₂×D₄	—	4	1	no	—
1213	C₂×D₄	—	4	1	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	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	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	C₂⁴×C₅₉	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	4	1	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	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	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	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	#41×C₅₉	1	4	yes	—
1339	C₄²	—	2	2	no	—
1340	C₄²	—	2	2	no	—
1341	C₄²	—	2	2	no	—
1342	C₄²	—	2	2	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	—	4	1	no	—
1345	C₄²	—	4	1	no	—
1346	C₄²	—	4	1	no	—
1347	C₄²	—	4	1	no	—
1348	C₄²	—	4	1	no	—
1349	C₄²	—	4	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	8	2	no	—
1392	C₂³	—	8	2	no	—
1393	C₂³	—	8	2	no	—
1394	C₂³	—	8	2	no	—
1395	C₂³	—	8	2	no	—
1396	C₂³	—	8	2	no	—
1397	C₂³	C₂×#41×C₅₉	1	2	yes	—
1398	C₂³	H(5,𝔽₂)×C₅₉	1	2	yes	—
1399	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1400	Q₈	—	8	2	no	—
1401	Q₈	—	8	2	no	—
1402	Q₈	—	8	2	no	—
1403	D₄	—	4	4	no	—
1404	D₄	—	4	4	no	—
1405	D₄	—	8	2	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	8	2	no	—
1408	D₄	—	8	2	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	D₄	—	8	2	no	—
1413	D₄	—	8	2	no	—
1414	D₄	—	8	2	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	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	4	4	no	—
1487	C₂×C₄	—	4	4	no	—
1488	C₂×C₄	—	4	4	no	—
1489	C₂×C₄	—	8	2	no	—
1490	C₂×C₄	—	8	2	no	—
1491	C₂×C₄	—	8	2	no	—
1492	C₂×C₄	—	8	2	no	—
1493	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1494	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1495	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1496	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	8	8	no	—
1540	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1541	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1542	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1543	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1544	C₂²	C₅₉×#585	1	1	yes	characteristic
1545	C₂²	C₅₉×#585	1	1	yes	characteristic
1546	C₂²	C₅₉×#585	1	1	yes	characteristic
1547	C₄	—	2	2	no	—
1548	C₄	—	2	2	no	—
1549	C₄	—	2	2	no	—
1550	C₄	—	2	2	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₂	—	4	2	no	—
1573	C₂	—	4	2	no	—
1574	C₂	—	8	1	no	—
1575	C₂	—	8	1	no	—
1576	C₂	—	8	1	no	—
1577	C₂	—	8	1	no	—
1578	C₂	C₅₉×#3460	1	1	yes	characteristic
1579	C₂	C₅₉×#3519	1	1	yes	characteristic
1580	C₂	C₅₉×#3521	1	1	yes	characteristic
1581	C₂	C₅₉×#3534	1	1	yes	characteristic
1582	C₂	C₅₉×#3540	1	1	yes	characteristic
1583	C₂	C₅₉×#3545	1	1	yes	characteristic
1584	C₂	C₅₉×#3558	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
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×#2850	C₂	semidirect
2. C₅₉×#2850	C₂	semidirect
3. C₅₉×#2781	C₂	semidirect
4. C₅₉×#2775	C₂	semidirect
5. C₅₉×#2763	C₂	semidirect
6. C₅₉×#2761	C₂	semidirect
7. C₅₉×#2753	C₂	semidirect
8. C₅₉×#2749	C₂	semidirect
9. C₅₉×#2730	C₂	semidirect
10. C₅₉×#2700	C₂	semidirect
11. C₅₉×#2700	C₂	semidirect
12. C₅₉×#2688	C₂	semidirect
13. C₅₉×#2688	C₂	semidirect
14. C₅₉×#2684	C₂	semidirect
15. C₅₉×#2684	C₂	semidirect
16. C₅₉×#2678	C₂	semidirect
17. C₅₉×#2672	C₂	semidirect
18. C₅₉×#2670	C₂	semidirect
19. C₅₉×#2662	C₂	semidirect
20. C₅₉×#2650	C₂	semidirect
21. C₅₉×#2560	C₂	semidirect
22. C₅₉×#2555	C₂	semidirect
23. C₅₉×#2516	C₂	semidirect
24. C₅₉×#2513	C₂	semidirect
25. C₅₉×#2480	C₂	semidirect
26. C₅₉×#2463	C₂	semidirect
27. C₅₉×#2459	C₂	semidirect
28. C₅₉×#2424	C₂	semidirect
29. C₅₉×#2337	C₂	semidirect
30. C₅₉×#2321	C₂	semidirect
31. C₄×#123×C₅₉	C₂	semidirect
37. C₂×#124×C₅₉	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
41. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
45. C₂×#121×C₅₉	C₂²	semidirect
52. C₂²×C₄²×C₅₉	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×#398	C₂²	semidirect
67. C₅₉×#397	C₂²	semidirect
68. C₅₉×#397	C₂²	semidirect
69. C₅₉×#397	C₂²	semidirect
73. C₅₉×#396	C₂²	semidirect
74. C₅₉×#396	C₂²	semidirect
75. C₅₉×#395	C₂²	semidirect
76. C₅₉×#395	C₂²	semidirect
77. C₅₉×#395	C₂²	semidirect
88. C₅₉×#394	C₂²	semidirect
89. C₅₉×#394	C₂²	semidirect
101. C₅₉×#391	C₂²	semidirect
102. C₅₉×#391	C₂²	semidirect
103. C₅₉×#391	C₂²	semidirect
104. C₅₉×#391	C₂²	semidirect
105. C₅₉×#391	C₂²	semidirect
113. C₅₉×#389	C₂²	semidirect
129. C₅₉×#388	C₂²	semidirect
130. C₅₉×#388	C₂²	semidirect
131. C₅₉×#388	C₂²	semidirect
132. C₅₉×#388	C₂²	semidirect
133. C₅₉×#388	C₂²	semidirect
134. C₅₉×#388	C₂²	semidirect
135. C₅₉×#388	C₂²	semidirect
136. C₅₉×#388	C₂²	semidirect
137. C₅₉×#388	C₂²	semidirect
138. C₅₉×#388	C₂²	semidirect
139. C₅₉×#387	C₂²	semidirect
140. C₅₉×#387	C₂²	semidirect
141. C₅₉×#387	C₂²	semidirect
142. C₅₉×#387	C₂²	semidirect
143. C₅₉×#387	C₂²	semidirect
144. C₅₉×#387	C₂²	semidirect
157. C₅₉×#386	C₂²	semidirect
158. C₅₉×#386	C₂²	semidirect
159. C₅₉×#386	C₂²	semidirect
160. C₅₉×#386	C₂²	semidirect
161. C₅₉×#386	C₂²	semidirect
162. C₅₉×#386	C₂²	semidirect
167. C₅₉×#385	C₂²	semidirect
168. C₅₉×#385	C₂²	semidirect
169. C₅₉×#383	C₂²	semidirect
170. C₅₉×#382	C₂²	semidirect
171. C₅₉×#382	C₂²	semidirect
172. C₅₉×#382	C₂²	semidirect
173. C₅₉×#381	C₂²	semidirect
174. C₅₉×#381	C₂²	semidirect
175. C₅₉×#381	C₂²	semidirect
180. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
181. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
182. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
704. #36914	C₅₉	direct (N × H)
780. #2850	C₂×C₅₉	semidirect
781. #2850	C₂×C₅₉	semidirect
782. #2781	C₂×C₅₉	semidirect
783. #2775	C₂×C₅₉	semidirect
784. #2763	C₂×C₅₉	semidirect
785. #2761	C₂×C₅₉	semidirect
786. #2753	C₂×C₅₉	semidirect
787. #2749	C₂×C₅₉	semidirect
788. #2730	C₂×C₅₉	semidirect
789. #2700	C₂×C₅₉	semidirect
790. #2700	C₂×C₅₉	semidirect
791. #2688	C₂×C₅₉	semidirect
792. #2688	C₂×C₅₉	semidirect
793. #2684	C₂×C₅₉	semidirect
794. #2684	C₂×C₅₉	semidirect
795. #2678	C₂×C₅₉	semidirect
796. #2672	C₂×C₅₉	semidirect
797. #2670	C₂×C₅₉	semidirect
798. #2662	C₂×C₅₉	semidirect
799. #2650	C₂×C₅₉	semidirect
800. #2560	C₂×C₅₉	semidirect
801. #2555	C₂×C₅₉	semidirect
802. #2516	C₂×C₅₉	semidirect
803. #2513	C₂×C₅₉	semidirect
804. #2480	C₂×C₅₉	semidirect
805. #2463	C₂×C₅₉	semidirect
806. #2459	C₂×C₅₉	semidirect
807. #2424	C₂×C₅₉	semidirect
808. #2337	C₂×C₅₉	semidirect
809. #2321	C₂×C₅₉	semidirect
810. C₄×#123	C₂×C₅₉	semidirect
829. C₂×#124	C₂²×C₅₉	semidirect
831. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
832. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
833. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
837. C₂×#121	C₂²×C₅₉	semidirect
844. C₂²×C₄²	C₂²×C₅₉	semidirect
845. #400	C₂²×C₅₉	semidirect
846. #400	C₂²×C₅₉	semidirect
847. #400	C₂²×C₅₉	semidirect
848. #400	C₂²×C₅₉	semidirect
849. #399	C₂²×C₅₉	semidirect
850. #398	C₂²×C₅₉	semidirect
859. #397	C₂²×C₅₉	semidirect
860. #397	C₂²×C₅₉	semidirect
861. #397	C₂²×C₅₉	semidirect
865. #396	C₂²×C₅₉	semidirect
866. #396	C₂²×C₅₉	semidirect
867. #395	C₂²×C₅₉	semidirect
868. #395	C₂²×C₅₉	semidirect
869. #395	C₂²×C₅₉	semidirect
880. #394	C₂²×C₅₉	semidirect
881. #394	C₂²×C₅₉	semidirect
893. #391	C₂²×C₅₉	semidirect
894. #391	C₂²×C₅₉	semidirect
895. #391	C₂²×C₅₉	semidirect
896. #391	C₂²×C₅₉	semidirect
897. #391	C₂²×C₅₉	semidirect
905. #389	C₂²×C₅₉	semidirect
921. #388	C₂²×C₅₉	semidirect
922. #388	C₂²×C₅₉	semidirect
923. #388	C₂²×C₅₉	semidirect
924. #388	C₂²×C₅₉	semidirect
925. #388	C₂²×C₅₉	semidirect
926. #388	C₂²×C₅₉	semidirect
927. #388	C₂²×C₅₉	semidirect
928. #388	C₂²×C₅₉	semidirect
929. #388	C₂²×C₅₉	semidirect
930. #388	C₂²×C₅₉	semidirect
931. #387	C₂²×C₅₉	semidirect
932. #387	C₂²×C₅₉	semidirect
933. #387	C₂²×C₅₉	semidirect
934. #387	C₂²×C₅₉	semidirect
935. #387	C₂²×C₅₉	semidirect
936. #387	C₂²×C₅₉	semidirect
949. #386	C₂²×C₅₉	semidirect
950. #386	C₂²×C₅₉	semidirect
951. #386	C₂²×C₅₉	semidirect
952. #386	C₂²×C₅₉	semidirect
953. #386	C₂²×C₅₉	semidirect
954. #386	C₂²×C₅₉	semidirect
959. #385	C₂²×C₅₉	semidirect
960. #385	C₂²×C₅₉	semidirect
961. #383	C₂²×C₅₉	semidirect
962. #382	C₂²×C₅₉	semidirect
963. #382	C₂²×C₅₉	semidirect
964. #382	C₂²×C₅₉	semidirect
965. #381	C₂²×C₅₉	semidirect
966. #381	C₂²×C₅₉	semidirect
967. #381	C₂²×C₅₉	semidirect
972. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
973. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
974. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
977. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
978. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
979. C₅₉	#36914	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×#2850	2
C₅₉×#2781	2
C₅₉×#2775	2
C₅₉×#2763	2
C₅₉×#2761	2
C₅₉×#2753	2
C₅₉×#2749	2
C₅₉×#2730	2
C₅₉×#2700	2
C₅₉×#2688	2
C₅₉×#2684	2
C₅₉×#2678	2
C₅₉×#2672	2
C₅₉×#2670	2
C₅₉×#2662	2
C₅₉×#2650	2
C₅₉×#2560	2
C₅₉×#2555	2
C₅₉×#2516	2
C₅₉×#2513	2
C₅₉×#2480	2
C₅₉×#2463	2
C₅₉×#2459	2
C₅₉×#2424	2
C₅₉×#2337	2
C₅₉×#2321	2
C₄×#123×C₅₉	2
#36914	59

Subgroups — C59×#36914 #28449023

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#36914 #28449023