Subgroups — C₅₉×#35683 #28447792

Order 15104.

3020 conjugacy classes of subgroups.

The subgroup lattice has 1198 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2636	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2631	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2613	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2603	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2598	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2540	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2535	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#2498	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#2482	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#2467	C₂	1	2	yes	maximal, complemented
13	C₅₉×#2463	C₂	1	2	yes	maximal, complemented
14	C₅₉×#2456	C₂	1	2	yes	maximal, complemented
15	C₅₉×#2456	C₂	1	2	yes	maximal, complemented
16	C₅₉×#2437	C₂	1	2	yes	maximal, complemented
17	C₅₉×#2410	C₂	1	2	yes	maximal, complemented
18	C₅₉×#2397	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#2392	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅₉×#392	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2358	C₂	1	2	yes	maximal, complemented
22	C₅₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₂²⋊C₄×C₅₉	C₂	1	2	yes	maximal, complemented
24	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₅₉	C₂²	1	2	yes	—
26	C₅₉×#551	—	2	8	no	—
27	C₂×#126×C₅₉	C₂²	1	1	yes	characteristic, complemented
28	C₂×#126×C₅₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic
31	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#123×C₅₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	2	yes	complemented
36	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
37	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
38	C₂×#120×C₅₉	C₂²	1	2	yes	—
39	C₂×#120×C₅₉	C₂²	1	1	yes	characteristic
40	C₅₉×#518	—	2	8	no	—
41	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
48	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
49	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
50	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
52	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
53	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
54	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
58	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
59	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
60	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
61	C₅₉×#399	C₂²	1	1	yes	characteristic, complemented
62	C₅₉×#399	C₂²	1	1	yes	characteristic, complemented
63	C₅₉×#399	C₂²	1	1	yes	characteristic, complemented
64	C₅₉×#399	C₂²	1	2	yes	complemented
65	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
66	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
67	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
68	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#396	C₂²	1	2	yes	complemented
70	C₅₉×#396	C₂²	1	2	yes	complemented
71	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
73	C₅₉×#394	C₂²	1	2	yes	complemented
74	C₅₉×#394	C₂²	1	2	yes	complemented
75	C₅₉×#394	C₂²	1	2	yes	complemented
76	C₅₉×#393	C₂²	1	2	yes	complemented
77	C₅₉×#392	C₂²	1	1	yes	characteristic
78	C₅₉×#392	C₂²	1	1	yes	characteristic
79	C₅₉×#392	C₂²	1	1	yes	characteristic
80	C₅₉×#392	C₂²	1	1	yes	characteristic
81	C₅₉×#392	C₂²	1	2	yes	—
82	C₅₉×#392	C₂²	1	2	yes	—
83	C₅₉×#392	C₂²	1	1	yes	characteristic, complemented
84	C₅₉×#392	C₂²	1	1	yes	characteristic, complemented
85	C₅₉×#392	C₂²	1	2	yes	complemented
86	C₅₉×#392	C₂²	1	2	yes	complemented
87	C₅₉×#392	C₂²	1	2	yes	complemented
88	C₅₉×#390	C₂²	1	2	yes	complemented
89	C₅₉×#390	C₂²	1	2	yes	complemented
90	C₅₉×#390	C₂²	1	2	yes	complemented
91	C₅₉×#388	C₂²	1	2	yes	complemented
92	C₅₉×#388	C₂²	1	2	yes	complemented
93	C₅₉×#388	C₂²	1	2	yes	complemented
94	C₅₉×#388	C₂²	1	2	yes	complemented
95	C₅₉×#388	C₂²	1	2	yes	complemented
96	C₅₉×#387	C₂²	1	2	yes	complemented
97	C₅₉×#387	C₂²	1	2	yes	complemented
98	C₅₉×#387	C₂²	1	2	yes	complemented
99	C₅₉×#386	C₂²	1	2	yes	—
100	C₅₉×#386	C₂²	1	2	yes	complemented
101	C₅₉×#386	C₂²	1	2	yes	complemented
102	C₅₉×#386	C₂²	1	2	yes	complemented
103	C₅₉×#386	C₂²	1	2	yes	complemented
104	C₅₉×#386	C₂²	1	2	yes	complemented
105	C₅₉×#386	C₂²	1	2	yes	complemented
106	C₅₉×#386	C₂²	1	2	yes	complemented
107	C₅₉×#386	C₂²	1	2	yes	complemented
108	C₅₉×#385	C₂²	1	2	yes	—
109	C₅₉×#385	C₂²	1	2	yes	—
110	C₅₉×#385	C₂²	1	2	yes	complemented
111	C₅₉×#385	C₂²	1	2	yes	complemented
112	C₅₉×#385	C₂²	1	2	yes	complemented
113	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
115	C₅₉×#381	C₂²	1	1	yes	characteristic
116	C₅₉×#380	C₂²	1	2	yes	—
117	C₅₉×#380	C₂²	1	2	yes	complemented
118	C₅₉×#379	C₂²	1	2	yes	—
119	C₅₉×#379	C₂²	1	2	yes	—
120	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
122	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
123	C₅₉×#376	C₂²	1	1	yes	characteristic, complemented
124	C₂×#95×C₅₉	C₂²	1	1	yes	characteristic
125	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
126	C₂⁵×C₅₉	C₂³	1	2	yes	—
127	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₅₉	—	2	8	no	—
129	C₂²×D₄×C₅₉	—	2	8	no	—
130	C₂²×D₄×C₅₉	—	2	4	no	—
131	C₂²×D₄×C₅₉	—	4	4	no	—
132	C₂²×D₄×C₅₉	—	4	4	no	—
133	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
142	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
143	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
149	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
150	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
152	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
153	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
155	#126×C₅₉	—	2	4	no	—
156	#126×C₅₉	—	2	4	no	—
157	#124×C₅₉	—	2	4	no	—
158	#123×C₅₉	—	2	4	no	—
159	#123×C₅₉	—	2	4	no	—
160	#123×C₅₉	—	2	4	no	—
161	C₂²⋊Q₈×C₅₉	—	2	4	no	—
162	C₂²⋊Q₈×C₅₉	—	2	4	no	—
163	C₂²⋊Q₈×C₅₉	—	4	4	no	—
164	#121×C₅₉	—	4	4	no	—
165	#121×C₅₉	—	4	4	no	—
166	#120×C₅₉	—	2	8	no	—
167	#120×C₅₉	—	2	4	no	—
168	C₄×D₄×C₅₉	—	2	8	no	—
169	C₄×D₄×C₅₉	—	2	8	no	—
170	C₄×D₄×C₅₉	—	2	4	no	—
171	C₄×D₄×C₅₉	—	2	4	no	—
172	C₄×D₄×C₅₉	—	2	4	no	—
173	C₄×D₄×C₅₉	—	2	4	no	—
174	C₄×D₄×C₅₉	—	2	4	no	—
175	C₄×D₄×C₅₉	—	2	4	no	—
176	C₄×D₄×C₅₉	—	4	4	no	—
177	C₄×D₄×C₅₉	—	4	4	no	—
178	C₄×D₄×C₅₉	—	4	4	no	—
179	#117×C₅₉	—	2	4	no	—
180	#117×C₅₉	—	2	4	no	—
181	#117×C₅₉	D₄	1	8	yes	complemented
182	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
199	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
200	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
201	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
202	C₂×C₂²⋊C₄×C₅₉	—	4	4	no	—
203	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
240	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
242	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
243	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
245	#95×C₅₉	C₂³	1	1	yes	characteristic
246	#95×C₅₉	C₂³	1	1	yes	characteristic
247	#95×C₅₉	C₂³	1	2	yes	—
248	#95×C₅₉	C₂³	1	1	yes	characteristic
249	#95×C₅₉	C₂³	1	2	yes	—
250	#95×C₅₉	C₂³	1	2	yes	—
251	#95×C₅₉	C₂³	1	2	yes	—
252	#95×C₅₉	C₂³	1	2	yes	—
253	#95×C₅₉	C₂³	1	2	yes	—
254	#95×C₅₉	C₂³	1	1	yes	characteristic
255	#95×C₅₉	C₂³	1	2	yes	—
256	#95×C₅₉	C₂³	1	2	yes	—
257	#95×C₅₉	C₂³	1	2	yes	—
258	#95×C₅₉	C₂³	1	2	yes	—
259	#95×C₅₉	C₂³	1	2	yes	—
260	#95×C₅₉	C₂³	1	2	yes	—
261	C₂⁴×C₅₉	—	2	4	no	—
262	C₂⁴×C₅₉	—	2	4	no	—
263	C₂⁴×C₅₉	—	2	2	no	—
264	C₂⁴×C₅₉	—	2	2	no	—
265	C₂⁴×C₅₉	—	2	4	no	—
266	C₂⁴×C₅₉	—	4	2	no	—
267	C₂⁴×C₅₉	—	4	2	no	—
268	C₂⁴×C₅₉	—	4	2	no	—
269	C₂⁴×C₅₉	—	4	2	no	—
270	C₂⁴×C₅₉	—	4	2	no	—
271	C₂⁴×C₅₉	—	4	1	no	—
272	C₂⁴×C₅₉	#41	1	8	yes	—
273	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
275	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
276	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
277	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
278	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
279	C₂×Q₈×C₅₉	—	2	2	no	—
280	C₂×Q₈×C₅₉	—	4	2	no	—
281	C₂×D₄×C₅₉	—	2	32	no	—
282	C₂×D₄×C₅₉	—	2	4	no	—
283	C₂×D₄×C₅₉	—	2	4	no	—
284	C₂×D₄×C₅₉	—	2	4	no	—
285	C₂×D₄×C₅₉	—	2	4	no	—
286	C₂×D₄×C₅₉	—	2	4	no	—
287	C₂×D₄×C₅₉	—	2	4	no	—
288	C₂×D₄×C₅₉	—	2	2	no	—
289	C₂×D₄×C₅₉	—	2	4	no	—
290	C₂×D₄×C₅₉	—	2	4	no	—
291	C₂×D₄×C₅₉	—	2	4	no	—
292	C₂×D₄×C₅₉	—	2	4	no	—
293	C₂×D₄×C₅₉	—	2	4	no	—
294	C₂×D₄×C₅₉	—	2	2	no	—
295	C₂×D₄×C₅₉	—	2	4	no	—
296	C₂×D₄×C₅₉	—	2	4	no	—
297	C₂×D₄×C₅₉	—	2	4	no	—
298	C₂×D₄×C₅₉	—	2	2	no	—
299	C₂×D₄×C₅₉	—	2	2	no	—
300	C₂×D₄×C₅₉	—	2	2	no	—
301	C₂×D₄×C₅₉	—	2	2	no	—
302	C₂×D₄×C₅₉	—	2	4	no	—
303	C₂×D₄×C₅₉	—	2	4	no	—
304	C₂×D₄×C₅₉	—	4	2	no	—
305	C₂×D₄×C₅₉	—	4	2	no	—
306	C₂×D₄×C₅₉	—	4	2	no	—
307	C₂×D₄×C₅₉	—	4	2	no	—
308	C₂×D₄×C₅₉	—	4	2	no	—
309	C₂×D₄×C₅₉	—	4	1	no	—
310	C₂×D₄×C₅₉	—	4	2	no	—
311	C₂×D₄×C₅₉	—	4	2	no	—
312	C₂×D₄×C₅₉	—	4	2	no	—
313	C₂×D₄×C₅₉	—	4	2	no	—
314	C₂×D₄×C₅₉	—	4	32	no	—
315	C₂²×C₄×C₅₉	—	2	4	no	—
316	C₂²×C₄×C₅₉	—	2	4	no	—
317	C₂²×C₄×C₅₉	—	2	2	no	—
318	C₂²×C₄×C₅₉	—	2	2	no	—
319	C₂²×C₄×C₅₉	—	2	2	no	—
320	C₂²×C₄×C₅₉	—	2	4	no	—
321	C₂²×C₄×C₅₉	—	2	4	no	—
322	C₂²×C₄×C₅₉	—	2	4	no	—
323	C₂²×C₄×C₅₉	—	2	4	no	—
324	C₂²×C₄×C₅₉	—	2	4	no	—
325	C₂²×C₄×C₅₉	—	2	2	no	—
326	C₂²×C₄×C₅₉	—	2	2	no	—
327	C₂²×C₄×C₅₉	—	4	1	no	—
328	C₂²×C₄×C₅₉	—	4	2	no	—
329	C₂²×C₄×C₅₉	—	4	2	no	—
330	C₂²×C₄×C₅₉	—	4	2	no	—
331	C₂²×C₄×C₅₉	—	4	2	no	—
332	C₂²×C₄×C₅₉	—	4	2	no	—
333	C₂²×C₄×C₅₉	—	4	2	no	—
334	C₂²×C₄×C₅₉	—	4	2	no	—
335	C₂²×C₄×C₅₉	—	4	2	no	—
336	C₂²×C₄×C₅₉	—	4	2	no	—
337	C₂²×C₄×C₅₉	—	4	2	no	—
338	C₂²×C₄×C₅₉	—	4	2	no	—
339	C₂²×C₄×C₅₉	—	4	2	no	—
340	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
341	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
358	C₄⋊C₄×C₅₉	—	2	2	no	—
359	C₄⋊C₄×C₅₉	—	2	2	no	—
360	C₄⋊C₄×C₅₉	—	2	2	no	—
361	C₄⋊C₄×C₅₉	—	2	2	no	—
362	C₄⋊C₄×C₅₉	—	2	2	no	—
363	C₄⋊C₄×C₅₉	—	2	2	no	—
364	C₄⋊C₄×C₅₉	—	2	2	no	—
365	C₄⋊C₄×C₅₉	—	2	2	no	—
366	C₄⋊C₄×C₅₉	—	2	4	no	—
367	C₄⋊C₄×C₅₉	—	2	4	no	—
368	C₄⋊C₄×C₅₉	—	4	2	no	—
369	C₄⋊C₄×C₅₉	—	4	2	no	—
370	C₄⋊C₄×C₅₉	—	4	2	no	—
371	C₄⋊C₄×C₅₉	—	4	2	no	—
372	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	complemented
373	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	complemented
374	C₂²⋊C₄×C₅₉	—	2	4	no	—
375	C₂²⋊C₄×C₅₉	—	2	2	no	—
376	C₂²⋊C₄×C₅₉	—	2	4	no	—
377	C₂²⋊C₄×C₅₉	—	2	4	no	—
378	C₂²⋊C₄×C₅₉	—	2	4	no	—
379	C₂²⋊C₄×C₅₉	—	2	4	no	—
380	C₂²⋊C₄×C₅₉	—	2	2	no	—
381	C₂²⋊C₄×C₅₉	—	2	4	no	—
382	C₂²⋊C₄×C₅₉	—	2	4	no	—
383	C₂²⋊C₄×C₅₉	—	2	4	no	—
384	C₂²⋊C₄×C₅₉	—	2	4	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	—	2	2	no	—
394	C₂²⋊C₄×C₅₉	—	2	2	no	—
395	C₂²⋊C₄×C₅₉	—	2	4	no	—
396	C₂²⋊C₄×C₅₉	—	2	4	no	—
397	C₂²⋊C₄×C₅₉	—	2	4	no	—
398	C₂²⋊C₄×C₅₉	—	4	2	no	—
399	C₂²⋊C₄×C₅₉	—	4	2	no	—
400	C₂²⋊C₄×C₅₉	—	4	2	no	—
401	C₂²⋊C₄×C₅₉	—	4	2	no	—
402	C₂²⋊C₄×C₅₉	—	4	2	no	—
403	C₂²⋊C₄×C₅₉	—	4	2	no	—
404	C₂²⋊C₄×C₅₉	—	4	2	no	—
405	C₂²⋊C₄×C₅₉	—	4	2	no	—
406	C₂²⋊C₄×C₅₉	—	4	2	no	—
407	C₂²⋊C₄×C₅₉	—	4	2	no	—
408	C₂²⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
409	C₂²⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
410	C₄²×C₅₉	—	2	4	no	—
411	C₄²×C₅₉	—	2	2	no	—
412	C₄²×C₅₉	—	2	4	no	—
413	C₄²×C₅₉	—	4	2	no	—
414	C₄²×C₅₉	C₂×D₄	1	4	yes	complemented
415	C₄²×C₅₉	C₂×D₄	1	4	yes	complemented
416	C₂³×C₅₉	—	2	2	no	—
417	C₂³×C₅₉	—	2	1	no	—
418	C₂³×C₅₉	—	2	1	no	—
419	C₂³×C₅₉	—	2	1	no	—
420	C₂³×C₅₉	—	2	2	no	—
421	C₂³×C₅₉	—	2	2	no	—
422	C₂³×C₅₉	—	2	2	no	—
423	C₂³×C₅₉	—	2	2	no	—
424	C₂³×C₅₉	—	2	2	no	—
425	C₂³×C₅₉	—	2	2	no	—
426	C₂³×C₅₉	—	2	2	no	—
427	C₂³×C₅₉	—	2	2	no	—
428	C₂³×C₅₉	—	2	2	no	—
429	C₂³×C₅₉	—	2	2	no	—
430	C₂³×C₅₉	—	2	2	no	—
431	C₂³×C₅₉	—	2	2	no	—
432	C₂³×C₅₉	—	2	2	no	—
433	C₂³×C₅₉	—	2	1	no	—
434	C₂³×C₅₉	—	2	2	no	—
435	C₂³×C₅₉	—	2	16	no	—
436	C₂³×C₅₉	—	2	1	no	—
437	C₂³×C₅₉	—	2	1	no	—
438	C₂³×C₅₉	—	2	2	no	—
439	C₂³×C₅₉	—	2	2	no	—
440	C₂³×C₅₉	—	2	2	no	—
441	C₂³×C₅₉	—	2	1	no	—
442	C₂³×C₅₉	—	2	2	no	—
443	C₂³×C₅₉	—	2	1	no	—
444	C₂³×C₅₉	—	2	1	no	—
445	C₂³×C₅₉	—	2	1	no	—
446	C₂³×C₅₉	—	4	8	no	—
447	C₂³×C₅₉	—	4	8	no	—
448	C₂³×C₅₉	—	4	8	no	—
449	C₂³×C₅₉	—	4	4	no	—
450	C₂³×C₅₉	—	4	4	no	—
451	C₂³×C₅₉	—	8	4	no	—
452	C₂³×C₅₉	—	8	4	no	—
453	C₂³×C₅₉	—	8	4	no	—
454	C₂³×C₅₉	—	8	2	no	—
455	C₂³×C₅₉	—	8	4	no	—
456	C₂³×C₅₉	—	8	4	no	—
457	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
458	C₂³×C₅₉	C₂×#41	1	4	yes	—
459	C₂³×C₅₉	C₂×#41	1	4	yes	—
460	C₂³×C₅₉	C₂×#41	1	4	yes	—
461	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
462	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
463	Q₈×C₅₉	—	8	2	no	—
464	D₄×C₅₉	—	2	16	no	—
465	D₄×C₅₉	—	2	8	no	—
466	D₄×C₅₉	—	2	8	no	—
467	D₄×C₅₉	—	2	16	no	—
468	D₄×C₅₉	—	4	4	no	—
469	D₄×C₅₉	—	4	8	no	—
470	D₄×C₅₉	—	4	8	no	—
471	D₄×C₅₉	—	4	8	no	—
472	D₄×C₅₉	—	4	8	no	—
473	D₄×C₅₉	—	4	4	no	—
474	D₄×C₅₉	—	8	2	no	—
475	D₄×C₅₉	—	8	4	no	—
476	C₂×C₄×C₅₉	—	2	8	no	—
477	C₂×C₄×C₅₉	—	2	2	no	—
478	C₂×C₄×C₅₉	—	2	2	no	—
479	C₂×C₄×C₅₉	—	2	2	no	—
480	C₂×C₄×C₅₉	—	2	2	no	—
481	C₂×C₄×C₅₉	—	2	1	no	—
482	C₂×C₄×C₅₉	—	2	2	no	—
483	C₂×C₄×C₅₉	—	2	2	no	—
484	C₂×C₄×C₅₉	—	2	1	no	—
485	C₂×C₄×C₅₉	—	2	1	no	—
486	C₂×C₄×C₅₉	—	2	1	no	—
487	C₂×C₄×C₅₉	—	2	2	no	—
488	C₂×C₄×C₅₉	—	2	2	no	—
489	C₂×C₄×C₅₉	—	2	1	no	—
490	C₂×C₄×C₅₉	—	2	1	no	—
491	C₂×C₄×C₅₉	—	2	1	no	—
492	C₂×C₄×C₅₉	—	2	1	no	—
493	C₂×C₄×C₅₉	—	2	1	no	—
494	C₂×C₄×C₅₉	—	2	2	no	—
495	C₂×C₄×C₅₉	—	2	2	no	—
496	C₂×C₄×C₅₉	—	2	2	no	—
497	C₂×C₄×C₅₉	—	2	2	no	—
498	C₂×C₄×C₅₉	—	2	2	no	—
499	C₂×C₄×C₅₉	—	2	2	no	—
500	C₂×C₄×C₅₉	—	2	2	no	—
501	C₂×C₄×C₅₉	—	2	2	no	—
502	C₂×C₄×C₅₉	—	2	2	no	—
503	C₂×C₄×C₅₉	—	2	2	no	—
504	C₂×C₄×C₅₉	—	2	2	no	—
505	C₂×C₄×C₅₉	—	2	2	no	—
506	C₂×C₄×C₅₉	—	2	1	no	—
507	C₂×C₄×C₅₉	—	2	2	no	—
508	C₂×C₄×C₅₉	—	2	2	no	—
509	C₂×C₄×C₅₉	—	2	2	no	—
510	C₂×C₄×C₅₉	—	2	1	no	—
511	C₂×C₄×C₅₉	—	2	2	no	—
512	C₂×C₄×C₅₉	—	2	2	no	—
513	C₂×C₄×C₅₉	—	4	4	no	—
514	C₂×C₄×C₅₉	—	4	8	no	—
515	C₂×C₄×C₅₉	—	8	4	no	—
516	C₂×C₄×C₅₉	—	8	4	no	—
517	C₂×C₄×C₅₉	—	8	4	no	—
518	C₂×C₄×C₅₉	—	8	2	no	—
519	C₂×C₄×C₅₉	—	8	2	no	—
520	C₂×C₄×C₅₉	—	8	4	no	—
521	C₂×C₄×C₅₉	—	8	2	no	—
522	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
523	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
528	C₂×C₄×C₅₉	H(5,𝔽₂)	1	4	yes	—
529	#35683	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
530	C₂²×C₅₉	—	2	2	no	—
531	C₂²×C₅₉	—	2	4	no	—
532	C₂²×C₅₉	—	2	2	no	—
533	C₂²×C₅₉	—	2	4	no	—
534	C₂²×C₅₉	—	2	4	no	—
535	C₂²×C₅₉	—	2	4	no	—
536	C₂²×C₅₉	—	2	2	no	—
537	C₂²×C₅₉	—	2	4	no	—
538	C₂²×C₅₉	—	2	4	no	—
539	C₂²×C₅₉	—	2	4	no	—
540	C₂²×C₅₉	—	2	4	no	—
541	C₂²×C₅₉	—	2	4	no	—
542	C₂²×C₅₉	—	4	1	no	—
543	C₂²×C₅₉	—	4	2	no	—
544	C₂²×C₅₉	—	4	2	no	—
545	C₂²×C₅₉	—	4	2	no	—
546	C₂²×C₅₉	—	4	2	no	—
547	C₂²×C₅₉	—	4	1	no	—
548	C₂²×C₅₉	—	4	2	no	—
549	C₂²×C₅₉	—	4	2	no	—
550	C₂²×C₅₉	—	4	2	no	—
551	C₂²×C₅₉	—	4	2	no	—
552	C₂²×C₅₉	—	4	2	no	—
553	C₂²×C₅₉	—	4	1	no	—
554	C₂²×C₅₉	—	4	1	no	—
555	C₂²×C₅₉	—	4	1	no	—
556	C₂²×C₅₉	—	4	1	no	—
557	C₂²×C₅₉	—	4	2	no	—
558	C₂²×C₅₉	—	4	2	no	—
559	C₂²×C₅₉	—	4	1	no	—
560	C₂²×C₅₉	—	4	1	no	—
561	C₂²×C₅₉	—	4	2	no	—
562	C₂²×C₅₉	—	4	2	no	—
563	C₂²×C₅₉	—	8	16	no	—
564	C₂²×C₅₉	—	8	8	no	—
565	C₂²×C₅₉	#525	1	4	yes	—
566	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
567	C₂²×C₅₉	C₂²×#41	1	2	yes	—
568	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
569	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
570	C₂²×C₅₉	#585	1	1	yes	characteristic
571	C₄×C₅₉	—	2	2	no	—
572	C₄×C₅₉	—	2	2	no	—
573	C₄×C₅₉	—	2	2	no	—
574	C₄×C₅₉	—	2	2	no	—
575	C₄×C₅₉	—	2	4	no	—
576	C₄×C₅₉	—	2	2	no	—
577	C₄×C₅₉	—	2	2	no	—
578	C₄×C₅₉	—	4	1	no	—
579	C₄×C₅₉	—	4	1	no	—
580	C₄×C₅₉	—	4	2	no	—
581	C₄×C₅₉	—	4	2	no	—
582	C₄×C₅₉	—	4	2	no	—
583	C₄×C₅₉	—	4	2	no	—
584	C₄×C₅₉	—	4	1	no	—
585	C₄×C₅₉	—	4	1	no	—
586	C₄×C₅₉	—	4	1	no	—
587	C₄×C₅₉	—	4	2	no	—
588	C₂×#551	C₂×C₅₉	1	1	yes	characteristic, complemented
589	C₂×#518	C₂×C₅₉	1	1	yes	characteristic, complemented
590	#2636	C₂×C₅₉	1	1	yes	characteristic, complemented
591	#2631	C₂×C₅₉	1	1	yes	characteristic, complemented
592	#2613	C₂×C₅₉	1	1	yes	characteristic, complemented
593	#2603	C₂×C₅₉	1	1	yes	characteristic, complemented
594	#2598	C₂×C₅₉	1	1	yes	characteristic, complemented
595	#2540	C₂×C₅₉	1	1	yes	characteristic, complemented
596	#2535	C₂×C₅₉	1	1	yes	characteristic, complemented
597	#2498	C₂×C₅₉	1	1	yes	characteristic, complemented
598	#2482	C₂×C₅₉	1	1	yes	characteristic, complemented
599	#2467	C₂×C₅₉	1	2	yes	complemented
600	#2463	C₂×C₅₉	1	2	yes	complemented
601	#2456	C₂×C₅₉	1	2	yes	complemented
602	#2456	C₂×C₅₉	1	2	yes	complemented
603	#2437	C₂×C₅₉	1	2	yes	complemented
604	#2410	C₂×C₅₉	1	2	yes	complemented
605	#2397	C₂×C₅₉	1	1	yes	characteristic, complemented
606	#2392	C₂×C₅₉	1	1	yes	characteristic, complemented
607	C₂×#392	C₂×C₅₉	1	1	yes	characteristic, complemented
608	#2358	C₂×C₅₉	1	2	yes	complemented
609	#2343	C₂×C₅₉	1	1	yes	characteristic, complemented
610	D₄×C₂²⋊C₄	C₂×C₅₉	1	2	yes	complemented
611	C₂×C₅₉	—	2	4	no	—
612	C₂×C₅₉	—	4	4	no	—
613	C₂×C₅₉	—	4	4	no	—
614	C₂×C₅₉	—	4	2	no	—
615	C₂×C₅₉	—	8	1	no	—
616	C₂×C₅₉	—	8	1	no	—
617	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
618	C₂×C₅₉	#3488	1	1	yes	characteristic
619	C₂×C₅₉	#3490	1	2	yes	—
620	C₂×C₅₉	#3498	1	1	yes	characteristic
621	C₂×C₅₉	#3505	1	2	yes	—
622	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
623	C₂³×D₄	C₂²×C₅₉	1	2	yes	—
624	#551	—	2	8	no	—
625	C₂×#126	C₂²×C₅₉	1	1	yes	characteristic, complemented
626	C₂×#126	C₂²×C₅₉	1	1	yes	characteristic, complemented
627	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic, complemented
628	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic
629	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic, complemented
630	C₂×#123	C₂²×C₅₉	1	1	yes	characteristic, complemented
631	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
632	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
633	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	complemented
634	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
635	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
636	C₂×#120	C₂²×C₅₉	1	2	yes	—
637	C₂×#120	C₂²×C₅₉	1	1	yes	characteristic
638	#518	—	2	8	no	—
639	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
640	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
641	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
642	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
643	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
644	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
645	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
646	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
647	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
648	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
649	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
650	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
651	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
652	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
653	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
654	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
655	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
656	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
657	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
658	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
659	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
660	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
661	#399	C₂²×C₅₉	1	2	yes	complemented
662	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
663	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
664	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
665	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
666	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
667	#396	C₂²×C₅₉	1	2	yes	complemented
668	#396	C₂²×C₅₉	1	2	yes	complemented
669	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
670	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
671	#394	C₂²×C₅₉	1	2	yes	complemented
672	#394	C₂²×C₅₉	1	2	yes	complemented
673	#394	C₂²×C₅₉	1	2	yes	complemented
674	#393	C₂²×C₅₉	1	2	yes	complemented
675	#392	C₂²×C₅₉	1	1	yes	characteristic
676	#392	C₂²×C₅₉	1	1	yes	characteristic
677	#392	C₂²×C₅₉	1	1	yes	characteristic
678	#392	C₂²×C₅₉	1	1	yes	characteristic
679	#392	C₂²×C₅₉	1	2	yes	—
680	#392	C₂²×C₅₉	1	2	yes	—
681	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
682	#392	C₂²×C₅₉	1	2	yes	complemented
683	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
684	#392	C₂²×C₅₉	1	2	yes	complemented
685	#392	C₂²×C₅₉	1	2	yes	complemented
686	#390	C₂²×C₅₉	1	2	yes	complemented
687	#390	C₂²×C₅₉	1	2	yes	complemented
688	#390	C₂²×C₅₉	1	2	yes	complemented
689	#388	C₂²×C₅₉	1	2	yes	complemented
690	#388	C₂²×C₅₉	1	2	yes	complemented
691	#388	C₂²×C₅₉	1	2	yes	complemented
692	#388	C₂²×C₅₉	1	2	yes	complemented
693	#388	C₂²×C₅₉	1	2	yes	complemented
694	#387	C₂²×C₅₉	1	2	yes	complemented
695	#387	C₂²×C₅₉	1	2	yes	complemented
696	#387	C₂²×C₅₉	1	2	yes	complemented
697	#386	C₂²×C₅₉	1	2	yes	—
698	#386	C₂²×C₅₉	1	2	yes	complemented
699	#386	C₂²×C₅₉	1	2	yes	complemented
700	#386	C₂²×C₅₉	1	2	yes	complemented
701	#386	C₂²×C₅₉	1	2	yes	complemented
702	#386	C₂²×C₅₉	1	2	yes	complemented
703	#386	C₂²×C₅₉	1	2	yes	complemented
704	#386	C₂²×C₅₉	1	2	yes	complemented
705	#386	C₂²×C₅₉	1	2	yes	complemented
706	#385	C₂²×C₅₉	1	2	yes	—
707	#385	C₂²×C₅₉	1	2	yes	—
708	#385	C₂²×C₅₉	1	2	yes	complemented
709	#385	C₂²×C₅₉	1	2	yes	complemented
710	#385	C₂²×C₅₉	1	2	yes	complemented
711	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
712	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
713	#381	C₂²×C₅₉	1	1	yes	characteristic
714	#380	C₂²×C₅₉	1	2	yes	—
715	#380	C₂²×C₅₉	1	2	yes	complemented
716	#379	C₂²×C₅₉	1	2	yes	—
717	#379	C₂²×C₅₉	1	2	yes	—
718	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
719	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
720	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
721	#376	C₂²×C₅₉	1	1	yes	characteristic, complemented
722	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic
723	C₅₉	#35683	1	1	yes	characteristic, direct product factor, Sylow
724	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
725	C₂⁵	C₂³×C₅₉	1	2	yes	—
726	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
727	C₂²×D₄	—	2	8	no	—
728	C₂²×D₄	—	2	8	no	—
729	C₂²×D₄	—	2	4	no	—
730	C₂²×D₄	—	4	4	no	—
731	C₂²×D₄	—	4	4	no	—
732	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
733	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
734	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
735	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
736	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
737	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
738	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
739	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
740	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
741	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
742	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
743	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
744	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
746	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
748	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
749	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
750	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
751	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
752	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
753	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
754	#126	—	2	4	no	—
755	#126	—	2	4	no	—
756	#124	—	2	4	no	—
757	#123	—	2	4	no	—
758	#123	—	2	4	no	—
759	#123	—	2	4	no	—
760	C₂²⋊Q₈	—	2	4	no	—
761	C₂²⋊Q₈	—	2	4	no	—
762	C₂²⋊Q₈	—	4	4	no	—
763	#121	—	4	4	no	—
764	#121	—	4	4	no	—
765	#120	—	2	8	no	—
766	#120	—	2	4	no	—
767	C₄×D₄	—	2	8	no	—
768	C₄×D₄	—	2	8	no	—
769	C₄×D₄	—	2	4	no	—
770	C₄×D₄	—	2	4	no	—
771	C₄×D₄	—	2	4	no	—
772	C₄×D₄	—	2	4	no	—
773	C₄×D₄	—	2	4	no	—
774	C₄×D₄	—	2	4	no	—
775	C₄×D₄	—	4	4	no	—
776	C₄×D₄	—	4	4	no	—
777	C₄×D₄	—	4	4	no	—
778	#117	—	2	4	no	—
779	#117	—	2	4	no	—
780	#117	D₄×C₅₉	1	8	yes	complemented
781	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
789	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
792	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
794	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
795	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	—	2	4	no	—
798	C₂×C₂²⋊C₄	—	2	8	no	—
799	C₂×C₂²⋊C₄	—	2	8	no	—
800	C₂×C₂²⋊C₄	—	2	4	no	—
801	C₂×C₂²⋊C₄	—	4	4	no	—
802	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
839	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
841	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
842	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
844	#95	C₂³×C₅₉	1	1	yes	characteristic
845	#95	C₂³×C₅₉	1	1	yes	characteristic
846	#95	C₂³×C₅₉	1	2	yes	—
847	#95	C₂³×C₅₉	1	1	yes	characteristic
848	#95	C₂³×C₅₉	1	2	yes	—
849	#95	C₂³×C₅₉	1	2	yes	—
850	#95	C₂³×C₅₉	1	2	yes	—
851	#95	C₂³×C₅₉	1	2	yes	—
852	#95	C₂³×C₅₉	1	2	yes	—
853	#95	C₂³×C₅₉	1	1	yes	characteristic
854	#95	C₂³×C₅₉	1	2	yes	—
855	#95	C₂³×C₅₉	1	2	yes	—
856	#95	C₂³×C₅₉	1	2	yes	—
857	#95	C₂³×C₅₉	1	2	yes	—
858	#95	C₂³×C₅₉	1	2	yes	—
859	#95	C₂³×C₅₉	1	2	yes	—
860	C₂⁴	—	2	4	no	—
861	C₂⁴	—	2	4	no	—
862	C₂⁴	—	2	2	no	—
863	C₂⁴	—	2	2	no	—
864	C₂⁴	—	2	4	no	—
865	C₂⁴	—	4	2	no	—
866	C₂⁴	—	4	2	no	—
867	C₂⁴	—	4	2	no	—
868	C₂⁴	—	4	2	no	—
869	C₂⁴	—	4	2	no	—
870	C₂⁴	—	4	1	no	—
871	C₂⁴	#41×C₅₉	1	8	yes	—
872	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
873	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
874	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
875	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
876	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
877	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	4	2	no	—
880	C₂×D₄	—	2	32	no	—
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	4	no	—
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	4	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	4	no	—
895	C₂×D₄	—	2	4	no	—
896	C₂×D₄	—	2	4	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	4	no	—
902	C₂×D₄	—	2	4	no	—
903	C₂×D₄	—	4	2	no	—
904	C₂×D₄	—	4	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	2	no	—
908	C₂×D₄	—	4	1	no	—
909	C₂×D₄	—	4	2	no	—
910	C₂×D₄	—	4	2	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	32	no	—
914	C₂²×C₄	—	2	4	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	4	no	—
921	C₂²×C₄	—	2	4	no	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	2	4	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	4	2	no	—
927	C₂²×C₄	—	4	1	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	—	4	2	no	—
930	C₂²×C₄	—	4	2	no	—
931	C₂²×C₄	—	4	2	no	—
932	C₂²×C₄	—	4	2	no	—
933	C₂²×C₄	—	4	2	no	—
934	C₂²×C₄	—	4	2	no	—
935	C₂²×C₄	—	4	2	no	—
936	C₂²×C₄	—	4	2	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	—	4	2	no	—
939	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
940	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
941	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
945	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	4	no	—
966	C₄⋊C₄	—	2	4	no	—
967	C₄⋊C₄	—	4	2	no	—
968	C₄⋊C₄	—	4	2	no	—
969	C₄⋊C₄	—	4	2	no	—
970	C₄⋊C₄	—	4	2	no	—
971	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	complemented
972	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	complemented
973	C₂²⋊C₄	—	2	4	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	4	no	—
976	C₂²⋊C₄	—	2	4	no	—
977	C₂²⋊C₄	—	2	4	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	4	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	4	no	—
995	C₂²⋊C₄	—	2	4	no	—
996	C₂²⋊C₄	—	2	4	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	—	4	2	no	—
1000	C₂²⋊C₄	—	4	2	no	—
1001	C₂²⋊C₄	—	4	2	no	—
1002	C₂²⋊C₄	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
1009	C₄²	—	2	4	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	4	no	—
1012	C₄²	—	4	2	no	—
1013	C₄²	C₂×D₄×C₅₉	1	4	yes	complemented
1014	C₄²	C₂×D₄×C₅₉	1	4	yes	complemented
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	—	2	16	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	4	8	no	—
1046	C₂³	—	4	8	no	—
1047	C₂³	—	4	8	no	—
1048	C₂³	—	4	4	no	—
1049	C₂³	—	4	4	no	—
1050	C₂³	—	8	4	no	—
1051	C₂³	—	8	4	no	—
1052	C₂³	—	8	4	no	—
1053	C₂³	—	8	2	no	—
1054	C₂³	—	8	4	no	—
1055	C₂³	—	8	4	no	—
1056	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1057	C₂³	C₂×#41×C₅₉	1	4	yes	—
1058	C₂³	C₂×#41×C₅₉	1	4	yes	—
1059	C₂³	C₂×#41×C₅₉	1	4	yes	—
1060	C₂³	H(5,𝔽₂)×C₅₉	1	2	yes	—
1061	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1062	Q₈	—	8	2	no	—
1063	D₄	—	2	16	no	—
1064	D₄	—	2	8	no	—
1065	D₄	—	2	8	no	—
1066	D₄	—	2	16	no	—
1067	D₄	—	4	4	no	—
1068	D₄	—	4	8	no	—
1069	D₄	—	4	8	no	—
1070	D₄	—	4	8	no	—
1071	D₄	—	4	8	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	4	no	—
1075	C₂×C₄	—	2	8	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	8	no	—
1114	C₂×C₄	—	8	4	no	—
1115	C₂×C₄	—	8	4	no	—
1116	C₂×C₄	—	8	4	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	4	no	—
1120	C₂×C₄	—	8	2	no	—
1121	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1122	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1123	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1125	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1127	C₂×C₄	H(5,𝔽₂)×C₅₉	1	4	yes	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	2	4	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	4	no	—
1132	C₂²	—	2	4	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	2	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	2	4	no	—
1139	C₂²	—	2	4	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	2	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	8	16	no	—
1162	C₂²	—	8	8	no	—
1163	C₂²	C₅₉×#525	1	4	yes	—
1164	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1165	C₂²	C₂²×#41×C₅₉	1	2	yes	—
1166	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1167	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	2	yes	—
1168	C₂²	C₅₉×#585	1	1	yes	characteristic
1169	C₄	—	2	2	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	4	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	4	1	no	—
1177	C₄	—	4	1	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	2	no	—
1180	C₄	—	4	2	no	—
1181	C₄	—	4	2	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	2	no	—
1186	C₂	—	2	4	no	—
1187	C₂	—	4	4	no	—
1188	C₂	—	4	4	no	—
1189	C₂	—	4	2	no	—
1190	C₂	—	8	1	no	—
1191	C₂	—	8	1	no	—
1192	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
1193	C₂	C₅₉×#3488	1	1	yes	characteristic
1194	C₂	C₅₉×#3490	1	2	yes	—
1195	C₂	C₅₉×#3498	1	1	yes	characteristic
1196	C₂	C₅₉×#3505	1	2	yes	—

	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. C₂×C₅₉×#551	C₂	semidirect
2. C₂×C₅₉×#518	C₂	semidirect
3. C₅₉×#2636	C₂	semidirect
4. C₅₉×#2631	C₂	semidirect
5. C₅₉×#2613	C₂	semidirect
6. C₅₉×#2603	C₂	semidirect
7. C₅₉×#2598	C₂	semidirect
8. C₅₉×#2540	C₂	semidirect
9. C₅₉×#2535	C₂	semidirect
10. C₅₉×#2498	C₂	semidirect
11. C₅₉×#2482	C₂	semidirect
12. C₅₉×#2467	C₂	semidirect
13. C₅₉×#2463	C₂	semidirect
14. C₅₉×#2456	C₂	semidirect
15. C₅₉×#2456	C₂	semidirect
16. C₅₉×#2437	C₂	semidirect
17. C₅₉×#2410	C₂	semidirect
18. C₅₉×#2397	C₂	semidirect
19. C₅₉×#2392	C₂	semidirect
20. C₂×C₅₉×#392	C₂	semidirect
21. C₅₉×#2358	C₂	semidirect
22. C₅₉×#2343	C₂	semidirect
23. D₄×C₂²⋊C₄×C₅₉	C₂	semidirect
27. C₂×#126×C₅₉	C₂²	semidirect
28. C₂×#126×C₅₉	C₂²	semidirect
29. C₂×#124×C₅₉	C₂²	semidirect
31. C₂×#123×C₅₉	C₂²	semidirect
32. C₂×#123×C₅₉	C₂²	semidirect
34. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
35. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
36. C₂×#121×C₅₉	C₂²	semidirect
37. C₂×#121×C₅₉	C₂²	semidirect
42. C₂×C₄×D₄×C₅₉	C₂²	semidirect
43. C₂×C₄×D₄×C₅₉	C₂²	semidirect
44. C₂×C₄×D₄×C₅₉	C₂²	semidirect
45. C₂×C₄×D₄×C₅₉	C₂²	semidirect
46. C₂×C₄×D₄×C₅₉	C₂²	semidirect
47. C₂×C₄×D₄×C₅₉	C₂²	semidirect
48. C₂×C₄×D₄×C₅₉	C₂²	semidirect
49. C₂×C₄×D₄×C₅₉	C₂²	semidirect
50. C₂×C₄×D₄×C₅₉	C₂²	semidirect
51. C₂×C₄×D₄×C₅₉	C₂²	semidirect
54. C₂×#117×C₅₉	C₂²	semidirect
60. C₅₉×#400	C₂²	semidirect
61. C₅₉×#399	C₂²	semidirect
62. C₅₉×#399	C₂²	semidirect
63. C₅₉×#399	C₂²	semidirect
64. C₅₉×#399	C₂²	semidirect
65. C₅₉×#398	C₂²	semidirect
66. C₅₉×#397	C₂²	semidirect
67. C₅₉×#397	C₂²	semidirect
68. C₅₉×#397	C₂²	semidirect
69. C₅₉×#396	C₂²	semidirect
70. C₅₉×#396	C₂²	semidirect
71. C₅₉×#394	C₂²	semidirect
72. C₅₉×#394	C₂²	semidirect
73. C₅₉×#394	C₂²	semidirect
74. C₅₉×#394	C₂²	semidirect
75. C₅₉×#394	C₂²	semidirect
76. C₅₉×#393	C₂²	semidirect
83. C₅₉×#392	C₂²	semidirect
84. C₅₉×#392	C₂²	semidirect
85. C₅₉×#392	C₂²	semidirect
86. C₅₉×#392	C₂²	semidirect
87. C₅₉×#392	C₂²	semidirect
88. C₅₉×#390	C₂²	semidirect
89. C₅₉×#390	C₂²	semidirect
90. C₅₉×#390	C₂²	semidirect
91. C₅₉×#388	C₂²	semidirect
92. C₅₉×#388	C₂²	semidirect
93. C₅₉×#388	C₂²	semidirect
94. C₅₉×#388	C₂²	semidirect
95. C₅₉×#388	C₂²	semidirect
96. C₅₉×#387	C₂²	semidirect
97. C₅₉×#387	C₂²	semidirect
98. C₅₉×#387	C₂²	semidirect
100. C₅₉×#386	C₂²	semidirect
101. C₅₉×#386	C₂²	semidirect
102. C₅₉×#386	C₂²	semidirect
103. C₅₉×#386	C₂²	semidirect
104. C₅₉×#386	C₂²	semidirect
105. C₅₉×#386	C₂²	semidirect
106. C₅₉×#386	C₂²	semidirect
107. C₅₉×#386	C₂²	semidirect
110. C₅₉×#385	C₂²	semidirect
111. C₅₉×#385	C₂²	semidirect
112. C₅₉×#385	C₂²	semidirect
113. C₅₉×#383	C₂²	semidirect
114. C₅₉×#382	C₂²	semidirect
117. C₅₉×#380	C₂²	semidirect
120. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
123. C₅₉×#376	C₂²	semidirect
181. #117×C₅₉	D₄	semidirect
372. C₄⋊C₄×C₅₉	C₂×D₄	semidirect
373. C₄⋊C₄×C₅₉	C₂×D₄	semidirect
414. C₄²×C₅₉	C₂×D₄	semidirect
415. C₄²×C₅₉	C₂×D₄	semidirect
529. #35683	C₅₉	direct (N × H)
588. C₂×#551	C₂×C₅₉	semidirect
589. C₂×#518	C₂×C₅₉	semidirect
590. #2636	C₂×C₅₉	semidirect
591. #2631	C₂×C₅₉	semidirect
592. #2613	C₂×C₅₉	semidirect
593. #2603	C₂×C₅₉	semidirect
594. #2598	C₂×C₅₉	semidirect
595. #2540	C₂×C₅₉	semidirect
596. #2535	C₂×C₅₉	semidirect
597. #2498	C₂×C₅₉	semidirect
598. #2482	C₂×C₅₉	semidirect
599. #2467	C₂×C₅₉	semidirect
600. #2463	C₂×C₅₉	semidirect
601. #2456	C₂×C₅₉	semidirect
602. #2456	C₂×C₅₉	semidirect
603. #2437	C₂×C₅₉	semidirect
604. #2410	C₂×C₅₉	semidirect
605. #2397	C₂×C₅₉	semidirect
606. #2392	C₂×C₅₉	semidirect
607. C₂×#392	C₂×C₅₉	semidirect
608. #2358	C₂×C₅₉	semidirect
609. #2343	C₂×C₅₉	semidirect
610. D₄×C₂²⋊C₄	C₂×C₅₉	semidirect
625. C₂×#126	C₂²×C₅₉	semidirect
626. C₂×#126	C₂²×C₅₉	semidirect
627. C₂×#124	C₂²×C₅₉	semidirect
629. C₂×#123	C₂²×C₅₉	semidirect
630. C₂×#123	C₂²×C₅₉	semidirect
632. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
633. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
634. C₂×#121	C₂²×C₅₉	semidirect
635. C₂×#121	C₂²×C₅₉	semidirect
640. C₂×C₄×D₄	C₂²×C₅₉	semidirect
641. C₂×C₄×D₄	C₂²×C₅₉	semidirect
642. C₂×C₄×D₄	C₂²×C₅₉	semidirect
643. C₂×C₄×D₄	C₂²×C₅₉	semidirect
644. C₂×C₄×D₄	C₂²×C₅₉	semidirect
645. C₂×C₄×D₄	C₂²×C₅₉	semidirect
646. C₂×C₄×D₄	C₂²×C₅₉	semidirect
647. C₂×C₄×D₄	C₂²×C₅₉	semidirect
648. C₂×C₄×D₄	C₂²×C₅₉	semidirect
649. C₂×C₄×D₄	C₂²×C₅₉	semidirect
652. C₂×#117	C₂²×C₅₉	semidirect
658. #400	C₂²×C₅₉	semidirect
659. #399	C₂²×C₅₉	semidirect
660. #399	C₂²×C₅₉	semidirect
661. #399	C₂²×C₅₉	semidirect
662. #399	C₂²×C₅₉	semidirect
663. #398	C₂²×C₅₉	semidirect
664. #397	C₂²×C₅₉	semidirect
665. #397	C₂²×C₅₉	semidirect
666. #397	C₂²×C₅₉	semidirect
667. #396	C₂²×C₅₉	semidirect
668. #396	C₂²×C₅₉	semidirect
669. #394	C₂²×C₅₉	semidirect
670. #394	C₂²×C₅₉	semidirect
671. #394	C₂²×C₅₉	semidirect
672. #394	C₂²×C₅₉	semidirect
673. #394	C₂²×C₅₉	semidirect
674. #393	C₂²×C₅₉	semidirect
681. #392	C₂²×C₅₉	semidirect
682. #392	C₂²×C₅₉	semidirect
683. #392	C₂²×C₅₉	semidirect
684. #392	C₂²×C₅₉	semidirect
685. #392	C₂²×C₅₉	semidirect
686. #390	C₂²×C₅₉	semidirect
687. #390	C₂²×C₅₉	semidirect
688. #390	C₂²×C₅₉	semidirect
689. #388	C₂²×C₅₉	semidirect
690. #388	C₂²×C₅₉	semidirect
691. #388	C₂²×C₅₉	semidirect
692. #388	C₂²×C₅₉	semidirect
693. #388	C₂²×C₅₉	semidirect
694. #387	C₂²×C₅₉	semidirect
695. #387	C₂²×C₅₉	semidirect
696. #387	C₂²×C₅₉	semidirect
698. #386	C₂²×C₅₉	semidirect
699. #386	C₂²×C₅₉	semidirect
700. #386	C₂²×C₅₉	semidirect
701. #386	C₂²×C₅₉	semidirect
702. #386	C₂²×C₅₉	semidirect
703. #386	C₂²×C₅₉	semidirect
704. #386	C₂²×C₅₉	semidirect
705. #386	C₂²×C₅₉	semidirect
708. #385	C₂²×C₅₉	semidirect
709. #385	C₂²×C₅₉	semidirect
710. #385	C₂²×C₅₉	semidirect
711. #383	C₂²×C₅₉	semidirect
712. #382	C₂²×C₅₉	semidirect
715. #380	C₂²×C₅₉	semidirect
718. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
720. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
721. #376	C₂²×C₅₉	semidirect
723. C₅₉	#35683	direct (N × H)
780. #117	D₄×C₅₉	semidirect
971. C₄⋊C₄	C₂×D₄×C₅₉	semidirect
972. C₄⋊C₄	C₂×D₄×C₅₉	semidirect
1013. C₄²	C₂×D₄×C₅₉	semidirect
1014. C₄²	C₂×D₄×C₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₉×#551	2
C₂×C₅₉×#518	2
C₅₉×#2636	2
C₅₉×#2631	2
C₅₉×#2613	2
C₅₉×#2603	2
C₅₉×#2598	2
C₅₉×#2540	2
C₅₉×#2535	2
C₅₉×#2498	2
C₅₉×#2482	2
C₅₉×#2467	2
C₅₉×#2463	2
C₅₉×#2456	2
C₅₉×#2437	2
C₅₉×#2410	2
C₅₉×#2397	2
C₅₉×#2392	2
C₂×C₅₉×#392	2
C₅₉×#2358	2
C₅₉×#2343	2
D₄×C₂²⋊C₄×C₅₉	2
#35683	59

Subgroups — C59×#35683 #28447792

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35683 #28447792