Subgroups — C₅₉×#35692 #28447801

Order 15104.

3306 conjugacy classes of subgroups.

The subgroup lattice has 1272 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2635	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2631	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2626	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2610	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2598	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2564	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2539	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#2471	C₂	1	2	yes	maximal, complemented
11	C₅₉×#2456	C₂	1	2	yes	maximal, complemented
12	C₅₉×#2456	C₂	1	2	yes	maximal, complemented
13	C₅₉×#2424	C₂	1	2	yes	maximal, complemented
14	C₅₉×#2418	C₂	1	2	yes	maximal, complemented
15	C₅₉×#2408	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2404	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2403	C₂	1	2	yes	maximal, complemented
18	C₅₉×#2397	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#2388	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×#2353	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₂²⋊C₄×C₅₉	C₂	1	2	yes	maximal, complemented
24	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₅₉	C₂²	1	2	yes	—
27	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
28	C₅₉×#546	—	2	8	no	—
29	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
31	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
32	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
35	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
36	C₂×#120×C₅₉	C₂²	1	2	yes	—
37	C₂×#120×C₅₉	C₂²	1	2	yes	—
38	C₂×#120×C₅₉	C₂²	1	2	yes	complemented
39	C₂×#120×C₅₉	C₂²	1	2	yes	complemented
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
43	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
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	1	yes	characteristic, complemented
48	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
52	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
53	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
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	1	yes	characteristic, complemented
58	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
59	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
61	C₅₉×#400	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	1	yes	characteristic, complemented
65	C₅₉×#399	C₂²	1	2	yes	complemented
66	C₅₉×#397	C₂²	1	2	yes	complemented
67	C₅₉×#396	C₂²	1	2	yes	complemented
68	C₅₉×#396	C₂²	1	2	yes	complemented
69	C₅₉×#395	C₂²	1	1	yes	characteristic, complemented
70	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
71	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#394	C₂²	1	2	yes	complemented
73	C₅₉×#394	C₂²	1	2	yes	complemented
74	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
76	C₅₉×#393	C₂²	1	1	yes	characteristic, complemented
77	C₅₉×#392	C₂²	1	1	yes	characteristic
78	C₅₉×#392	C₂²	1	1	yes	characteristic
79	C₅₉×#392	C₂²	1	2	yes	—
80	C₅₉×#392	C₂²	1	1	yes	characteristic, complemented
81	C₅₉×#392	C₂²	1	1	yes	characteristic, complemented
82	C₅₉×#392	C₂²	1	2	yes	complemented
83	C₅₉×#392	C₂²	1	2	yes	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×#392	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#390	C₂²	1	2	yes	complemented
90	C₅₉×#390	C₂²	1	2	yes	complemented
91	C₅₉×#390	C₂²	1	2	yes	complemented
92	C₅₉×#390	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×#388	C₂²	1	2	yes	complemented
97	C₅₉×#388	C₂²	1	2	yes	complemented
98	C₅₉×#387	C₂²	1	2	yes	complemented
99	C₅₉×#387	C₂²	1	2	yes	complemented
100	C₅₉×#386	C₂²	1	2	yes	—
101	C₅₉×#386	C₂²	1	2	yes	—
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×#386	C₂²	1	2	yes	complemented
109	C₅₉×#386	C₂²	1	2	yes	complemented
110	C₅₉×#386	C₂²	1	2	yes	complemented
111	C₅₉×#385	C₂²	1	2	yes	complemented
112	C₅₉×#385	C₂²	1	2	yes	complemented
113	C₅₉×#385	C₂²	1	2	yes	complemented
114	C₅₉×#383	C₂²	1	1	yes	characteristic, complemented
115	C₅₉×#381	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#380	C₂²	1	2	yes	complemented
117	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
118	C₅₉×#379	C₂²	1	2	yes	—
119	C₅₉×#379	C₂²	1	2	yes	complemented
120	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
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, complemented
125	C₂⁵×C₅₉	C₂³	1	2	yes	—
126	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
127	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
128	C₂×#41×C₅₉	—	2	4	no	—
129	C₂×#41×C₅₉	—	4	4	no	—
130	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₅₉	—	2	4	no	—
132	C₂²×D₄×C₅₉	—	2	4	no	—
133	C₂²×D₄×C₅₉	—	2	4	no	—
134	C₂²×D₄×C₅₉	—	2	8	no	—
135	C₂²×D₄×C₅₉	—	2	4	no	—
136	C₂²×D₄×C₅₉	—	4	4	no	—
137	C₂²×D₄×C₅₉	—	4	4	no	—
138	C₂²×D₄×C₅₉	—	4	4	no	—
139	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
143	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
146	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
147	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
148	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
151	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
152	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
156	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
157	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
160	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
166	#124×C₅₉	—	2	4	no	—
167	#123×C₅₉	—	2	8	no	—
168	#123×C₅₉	—	4	4	no	—
169	C₂²⋊Q₈×C₅₉	—	2	4	no	—
170	#121×C₅₉	—	2	4	no	—
171	#121×C₅₉	—	2	8	no	—
172	#121×C₅₉	—	4	4	no	—
173	#120×C₅₉	—	2	8	no	—
174	#120×C₅₉	—	2	8	no	—
175	#120×C₅₉	—	4	4	no	—
176	#120×C₅₉	—	4	4	no	—
177	C₄×D₄×C₅₉	—	2	4	no	—
178	C₄×D₄×C₅₉	—	2	4	no	—
179	C₄×D₄×C₅₉	—	2	4	no	—
180	C₄×D₄×C₅₉	—	2	4	no	—
181	C₄×D₄×C₅₉	—	2	4	no	—
182	C₄×D₄×C₅₉	—	2	4	no	—
183	C₄×D₄×C₅₉	—	2	4	no	—
184	C₄×D₄×C₅₉	—	2	4	no	—
185	C₄×D₄×C₅₉	—	4	4	no	—
186	C₄×D₄×C₅₉	—	4	4	no	—
187	C₄×D₄×C₅₉	—	4	4	no	—
188	C₄×D₄×C₅₉	D₄	1	8	yes	complemented
189	#117×C₅₉	—	2	4	no	—
190	#117×C₅₉	—	2	4	no	—
191	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
198	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
199	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
200	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
201	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
203	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
204	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
205	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
206	C₂×C₂²⋊C₄×C₅₉	—	2	4	no	—
207	C₂×C₂²⋊C₄×C₅₉	—	4	4	no	—
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	2	yes	—
215	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
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	2	yes	—
238	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
240	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
241	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
242	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
245	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
248	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
249	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
250	#95×C₅₉	C₂³	1	1	yes	characteristic
251	#95×C₅₉	C₂³	1	1	yes	characteristic
252	#95×C₅₉	C₂³	1	2	yes	—
253	#95×C₅₉	C₂³	1	1	yes	characteristic
254	#95×C₅₉	C₂³	1	2	yes	—
255	#95×C₅₉	C₂³	1	1	yes	characteristic
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	#95×C₅₉	C₂³	1	2	yes	—
262	#95×C₅₉	C₂³	1	2	yes	—
263	#95×C₅₉	C₂³	1	2	yes	—
264	#95×C₅₉	C₂³	1	2	yes	—
265	C₂⁴×C₅₉	—	2	2	no	—
266	C₂⁴×C₅₉	—	2	2	no	—
267	C₂⁴×C₅₉	—	2	2	no	—
268	C₂⁴×C₅₉	—	2	2	no	—
269	C₂⁴×C₅₉	—	2	2	no	—
270	C₂⁴×C₅₉	—	2	4	no	—
271	C₂⁴×C₅₉	—	2	4	no	—
272	C₂⁴×C₅₉	—	2	4	no	—
273	C₂⁴×C₅₉	—	2	4	no	—
274	C₂⁴×C₅₉	—	4	2	no	—
275	C₂⁴×C₅₉	—	4	2	no	—
276	C₂⁴×C₅₉	—	4	2	no	—
277	C₂⁴×C₅₉	—	4	2	no	—
278	C₂⁴×C₅₉	—	4	2	no	—
279	C₂⁴×C₅₉	—	4	2	no	—
280	C₂⁴×C₅₉	—	4	2	no	—
281	C₂⁴×C₅₉	#41	1	4	yes	complemented
282	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
283	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
284	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
285	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
286	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
287	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
288	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
289	#41×C₅₉	—	4	16	no	—
290	C₂×Q₈×C₅₉	—	2	2	no	—
291	C₂×Q₈×C₅₉	—	4	2	no	—
292	C₂×D₄×C₅₉	—	2	32	no	—
293	C₂×D₄×C₅₉	—	2	2	no	—
294	C₂×D₄×C₅₉	—	2	2	no	—
295	C₂×D₄×C₅₉	—	2	2	no	—
296	C₂×D₄×C₅₉	—	2	2	no	—
297	C₂×D₄×C₅₉	—	2	2	no	—
298	C₂×D₄×C₅₉	—	2	4	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	—	2	4	no	—
305	C₂×D₄×C₅₉	—	2	4	no	—
306	C₂×D₄×C₅₉	—	2	4	no	—
307	C₂×D₄×C₅₉	—	2	4	no	—
308	C₂×D₄×C₅₉	—	2	4	no	—
309	C₂×D₄×C₅₉	—	2	4	no	—
310	C₂×D₄×C₅₉	—	2	4	no	—
311	C₂×D₄×C₅₉	—	2	4	no	—
312	C₂×D₄×C₅₉	—	2	4	no	—
313	C₂×D₄×C₅₉	—	2	4	no	—
314	C₂×D₄×C₅₉	—	2	4	no	—
315	C₂×D₄×C₅₉	—	2	2	no	—
316	C₂×D₄×C₅₉	—	2	2	no	—
317	C₂×D₄×C₅₉	—	2	4	no	—
318	C₂×D₄×C₅₉	—	2	2	no	—
319	C₂×D₄×C₅₉	—	2	2	no	—
320	C₂×D₄×C₅₉	—	2	4	no	—
321	C₂×D₄×C₅₉	—	2	4	no	—
322	C₂×D₄×C₅₉	—	4	2	no	—
323	C₂×D₄×C₅₉	—	4	2	no	—
324	C₂×D₄×C₅₉	—	4	2	no	—
325	C₂×D₄×C₅₉	—	4	2	no	—
326	C₂×D₄×C₅₉	—	4	2	no	—
327	C₂×D₄×C₅₉	—	4	2	no	—
328	C₂×D₄×C₅₉	—	4	2	no	—
329	C₂×D₄×C₅₉	—	4	2	no	—
330	C₂×D₄×C₅₉	—	4	2	no	—
331	C₂×D₄×C₅₉	—	4	2	no	—
332	C₂×D₄×C₅₉	—	4	2	no	—
333	C₂×D₄×C₅₉	—	4	2	no	—
334	C₂×D₄×C₅₉	—	4	16	no	—
335	C₂×D₄×C₅₉	—	4	32	no	—
336	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
337	C₂×D₄×C₅₉	#41	1	4	yes	complemented
338	C₂²×C₄×C₅₉	—	2	2	no	—
339	C₂²×C₄×C₅₉	—	2	2	no	—
340	C₂²×C₄×C₅₉	—	2	2	no	—
341	C₂²×C₄×C₅₉	—	2	4	no	—
342	C₂²×C₄×C₅₉	—	2	4	no	—
343	C₂²×C₄×C₅₉	—	2	2	no	—
344	C₂²×C₄×C₅₉	—	2	2	no	—
345	C₂²×C₄×C₅₉	—	2	4	no	—
346	C₂²×C₄×C₅₉	—	2	4	no	—
347	C₂²×C₄×C₅₉	—	2	2	no	—
348	C₂²×C₄×C₅₉	—	2	2	no	—
349	C₂²×C₄×C₅₉	—	2	2	no	—
350	C₂²×C₄×C₅₉	—	2	2	no	—
351	C₂²×C₄×C₅₉	—	2	4	no	—
352	C₂²×C₄×C₅₉	—	4	2	no	—
353	C₂²×C₄×C₅₉	—	4	2	no	—
354	C₂²×C₄×C₅₉	—	4	2	no	—
355	C₂²×C₄×C₅₉	—	4	2	no	—
356	C₂²×C₄×C₅₉	—	4	2	no	—
357	C₂²×C₄×C₅₉	—	4	2	no	—
358	C₂²×C₄×C₅₉	—	4	2	no	—
359	C₂²×C₄×C₅₉	—	4	2	no	—
360	C₂²×C₄×C₅₉	—	4	2	no	—
361	C₂²×C₄×C₅₉	—	4	2	no	—
362	C₂²×C₄×C₅₉	—	4	2	no	—
363	C₂²×C₄×C₅₉	—	4	2	no	—
364	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
365	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	complemented
366	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
368	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
382	C₄⋊C₄×C₅₉	—	2	2	no	—
383	C₄⋊C₄×C₅₉	—	2	2	no	—
384	C₄⋊C₄×C₅₉	—	2	2	no	—
385	C₄⋊C₄×C₅₉	—	2	2	no	—
386	C₄⋊C₄×C₅₉	—	2	4	no	—
387	C₄⋊C₄×C₅₉	—	2	4	no	—
388	C₄⋊C₄×C₅₉	—	4	2	no	—
389	C₄⋊C₄×C₅₉	—	4	2	no	—
390	C₄⋊C₄×C₅₉	—	4	2	no	—
391	C₄⋊C₄×C₅₉	—	4	2	no	—
392	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	complemented
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	—	2	2	no	—
399	C₂²⋊C₄×C₅₉	—	2	2	no	—
400	C₂²⋊C₄×C₅₉	—	2	2	no	—
401	C₂²⋊C₄×C₅₉	—	2	2	no	—
402	C₂²⋊C₄×C₅₉	—	2	2	no	—
403	C₂²⋊C₄×C₅₉	—	2	2	no	—
404	C₂²⋊C₄×C₅₉	—	2	2	no	—
405	C₂²⋊C₄×C₅₉	—	2	2	no	—
406	C₂²⋊C₄×C₅₉	—	2	4	no	—
407	C₂²⋊C₄×C₅₉	—	2	4	no	—
408	C₂²⋊C₄×C₅₉	—	2	4	no	—
409	C₂²⋊C₄×C₅₉	—	2	4	no	—
410	C₂²⋊C₄×C₅₉	—	2	4	no	—
411	C₂²⋊C₄×C₅₉	—	2	4	no	—
412	C₂²⋊C₄×C₅₉	—	2	4	no	—
413	C₂²⋊C₄×C₅₉	—	2	4	no	—
414	C₂²⋊C₄×C₅₉	—	2	4	no	—
415	C₂²⋊C₄×C₅₉	—	2	4	no	—
416	C₂²⋊C₄×C₅₉	—	4	2	no	—
417	C₂²⋊C₄×C₅₉	—	4	2	no	—
418	C₂²⋊C₄×C₅₉	—	4	2	no	—
419	C₂²⋊C₄×C₅₉	—	4	2	no	—
420	C₂²⋊C₄×C₅₉	—	4	2	no	—
421	C₂²⋊C₄×C₅₉	—	4	2	no	—
422	C₂²⋊C₄×C₅₉	—	4	2	no	—
423	C₂²⋊C₄×C₅₉	—	4	2	no	—
424	C₂²⋊C₄×C₅₉	—	4	2	no	—
425	C₂²⋊C₄×C₅₉	—	4	2	no	—
426	C₂²⋊C₄×C₅₉	—	4	2	no	—
427	C₂²⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
428	C₂²⋊C₄×C₅₉	C₂×D₄	1	4	yes	complemented
429	C₄²×C₅₉	—	2	2	no	—
430	C₄²×C₅₉	—	2	2	no	—
431	C₄²×C₅₉	—	2	2	no	—
432	C₄²×C₅₉	—	2	4	no	—
433	C₄²×C₅₉	—	4	2	no	—
434	C₄²×C₅₉	C₂×D₄	1	4	yes	complemented
435	C₂³×C₅₉	—	2	2	no	—
436	C₂³×C₅₉	—	2	2	no	—
437	C₂³×C₅₉	—	2	8	no	—
438	C₂³×C₅₉	—	2	1	no	—
439	C₂³×C₅₉	—	2	1	no	—
440	C₂³×C₅₉	—	2	1	no	—
441	C₂³×C₅₉	—	2	2	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	—	2	1	no	—
447	C₂³×C₅₉	—	2	1	no	—
448	C₂³×C₅₉	—	2	2	no	—
449	C₂³×C₅₉	—	2	2	no	—
450	C₂³×C₅₉	—	2	2	no	—
451	C₂³×C₅₉	—	2	2	no	—
452	C₂³×C₅₉	—	2	2	no	—
453	C₂³×C₅₉	—	2	2	no	—
454	C₂³×C₅₉	—	2	2	no	—
455	C₂³×C₅₉	—	2	2	no	—
456	C₂³×C₅₉	—	2	2	no	—
457	C₂³×C₅₉	—	2	2	no	—
458	C₂³×C₅₉	—	2	2	no	—
459	C₂³×C₅₉	—	2	2	no	—
460	C₂³×C₅₉	—	2	8	no	—
461	C₂³×C₅₉	—	2	2	no	—
462	C₂³×C₅₉	—	2	2	no	—
463	C₂³×C₅₉	—	2	2	no	—
464	C₂³×C₅₉	—	2	2	no	—
465	C₂³×C₅₉	—	2	2	no	—
466	C₂³×C₅₉	—	2	2	no	—
467	C₂³×C₅₉	—	2	2	no	—
468	C₂³×C₅₉	—	4	8	no	—
469	C₂³×C₅₉	—	4	8	no	—
470	C₂³×C₅₉	—	4	8	no	—
471	C₂³×C₅₉	—	4	8	no	—
472	C₂³×C₅₉	—	4	8	no	—
473	C₂³×C₅₉	—	8	2	no	—
474	C₂³×C₅₉	—	8	4	no	—
475	C₂³×C₅₉	—	8	2	no	—
476	C₂³×C₅₉	—	8	4	no	—
477	C₂³×C₅₉	—	8	4	no	—
478	C₂³×C₅₉	—	8	4	no	—
479	C₂³×C₅₉	—	8	2	no	—
480	C₂³×C₅₉	—	8	4	no	—
481	C₂³×C₅₉	—	8	2	no	—
482	C₂³×C₅₉	—	8	4	no	—
483	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
484	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
485	C₂³×C₅₉	C₂×#41	1	2	yes	—
486	C₂³×C₅₉	C₂×#41	1	2	yes	—
487	C₂³×C₅₉	C₂×#41	1	2	yes	—
488	C₂³×C₅₉	C₂×#41	1	2	yes	—
489	C₂³×C₅₉	C₂×#41	1	2	yes	—
490	C₂³×C₅₉	H(5,𝔽₂)	1	4	yes	—
491	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
492	Q₈×C₅₉	—	4	4	no	—
493	D₄×C₅₉	—	2	8	no	—
494	D₄×C₅₉	—	2	8	no	—
495	D₄×C₅₉	—	2	16	no	—
496	D₄×C₅₉	—	2	8	no	—
497	D₄×C₅₉	—	2	8	no	—
498	D₄×C₅₉	—	2	8	no	—
499	D₄×C₅₉	—	4	8	no	—
500	D₄×C₅₉	—	4	8	no	—
501	D₄×C₅₉	—	4	4	no	—
502	D₄×C₅₉	—	4	8	no	—
503	D₄×C₅₉	—	4	8	no	—
504	D₄×C₅₉	—	4	8	no	—
505	D₄×C₅₉	—	4	8	no	—
506	D₄×C₅₉	—	8	4	no	—
507	D₄×C₅₉	—	8	4	no	—
508	C₂×C₄×C₅₉	—	2	8	no	—
509	C₂×C₄×C₅₉	—	2	1	no	—
510	C₂×C₄×C₅₉	—	2	1	no	—
511	C₂×C₄×C₅₉	—	2	1	no	—
512	C₂×C₄×C₅₉	—	2	1	no	—
513	C₂×C₄×C₅₉	—	2	2	no	—
514	C₂×C₄×C₅₉	—	2	2	no	—
515	C₂×C₄×C₅₉	—	2	2	no	—
516	C₂×C₄×C₅₉	—	2	2	no	—
517	C₂×C₄×C₅₉	—	2	2	no	—
518	C₂×C₄×C₅₉	—	2	2	no	—
519	C₂×C₄×C₅₉	—	2	1	no	—
520	C₂×C₄×C₅₉	—	2	1	no	—
521	C₂×C₄×C₅₉	—	2	1	no	—
522	C₂×C₄×C₅₉	—	2	1	no	—
523	C₂×C₄×C₅₉	—	2	2	no	—
524	C₂×C₄×C₅₉	—	2	2	no	—
525	C₂×C₄×C₅₉	—	2	2	no	—
526	C₂×C₄×C₅₉	—	2	2	no	—
527	C₂×C₄×C₅₉	—	2	2	no	—
528	C₂×C₄×C₅₉	—	2	2	no	—
529	C₂×C₄×C₅₉	—	2	2	no	—
530	C₂×C₄×C₅₉	—	2	2	no	—
531	C₂×C₄×C₅₉	—	2	2	no	—
532	C₂×C₄×C₅₉	—	2	2	no	—
533	C₂×C₄×C₅₉	—	2	2	no	—
534	C₂×C₄×C₅₉	—	2	2	no	—
535	C₂×C₄×C₅₉	—	2	2	no	—
536	C₂×C₄×C₅₉	—	2	2	no	—
537	C₂×C₄×C₅₉	—	2	2	no	—
538	C₂×C₄×C₅₉	—	2	2	no	—
539	C₂×C₄×C₅₉	—	2	2	no	—
540	C₂×C₄×C₅₉	—	2	2	no	—
541	C₂×C₄×C₅₉	—	2	2	no	—
542	C₂×C₄×C₅₉	—	4	4	no	—
543	C₂×C₄×C₅₉	—	4	4	no	—
544	C₂×C₄×C₅₉	—	4	8	no	—
545	C₂×C₄×C₅₉	—	4	8	no	—
546	C₂×C₄×C₅₉	—	8	2	no	—
547	C₂×C₄×C₅₉	—	8	2	no	—
548	C₂×C₄×C₅₉	—	8	2	no	—
549	C₂×C₄×C₅₉	—	8	2	no	—
550	C₂×C₄×C₅₉	—	8	4	no	—
551	C₂×C₄×C₅₉	—	8	2	no	—
552	C₂×C₄×C₅₉	—	8	2	no	—
553	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
558	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
559	C₂×C₄×C₅₉	H(5,𝔽₂)	1	4	yes	—
560	#35692	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
561	C₂²×C₅₉	—	2	2	no	—
562	C₂²×C₅₉	—	2	4	no	—
563	C₂²×C₅₉	—	2	2	no	—
564	C₂²×C₅₉	—	2	4	no	—
565	C₂²×C₅₉	—	2	2	no	—
566	C₂²×C₅₉	—	2	2	no	—
567	C₂²×C₅₉	—	2	2	no	—
568	C₂²×C₅₉	—	2	2	no	—
569	C₂²×C₅₉	—	2	4	no	—
570	C₂²×C₅₉	—	2	2	no	—
571	C₂²×C₅₉	—	2	4	no	—
572	C₂²×C₅₉	—	2	4	no	—
573	C₂²×C₅₉	—	2	4	no	—
574	C₂²×C₅₉	—	2	2	no	—
575	C₂²×C₅₉	—	2	4	no	—
576	C₂²×C₅₉	—	2	4	no	—
577	C₂²×C₅₉	—	4	2	no	—
578	C₂²×C₅₉	—	4	1	no	—
579	C₂²×C₅₉	—	4	1	no	—
580	C₂²×C₅₉	—	4	1	no	—
581	C₂²×C₅₉	—	4	2	no	—
582	C₂²×C₅₉	—	4	2	no	—
583	C₂²×C₅₉	—	4	2	no	—
584	C₂²×C₅₉	—	4	1	no	—
585	C₂²×C₅₉	—	4	1	no	—
586	C₂²×C₅₉	—	4	2	no	—
587	C₂²×C₅₉	—	4	1	no	—
588	C₂²×C₅₉	—	4	2	no	—
589	C₂²×C₅₉	—	4	2	no	—
590	C₂²×C₅₉	—	4	2	no	—
591	C₂²×C₅₉	—	4	2	no	—
592	C₂²×C₅₉	—	4	2	no	—
593	C₂²×C₅₉	—	4	2	no	—
594	C₂²×C₅₉	—	4	2	no	—
595	C₂²×C₅₉	—	4	2	no	—
596	C₂²×C₅₉	—	4	2	no	—
597	C₂²×C₅₉	—	4	2	no	—
598	C₂²×C₅₉	—	4	2	no	—
599	C₂²×C₅₉	—	8	8	no	—
600	C₂²×C₅₉	—	8	16	no	—
601	C₂²×C₅₉	—	8	8	no	—
602	C₂²×C₅₉	#525	1	4	yes	—
603	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
604	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
605	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
606	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
607	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
608	C₄×C₅₉	—	2	2	no	—
609	C₄×C₅₉	—	2	2	no	—
610	C₄×C₅₉	—	2	2	no	—
611	C₄×C₅₉	—	2	2	no	—
612	C₄×C₅₉	—	2	2	no	—
613	C₄×C₅₉	—	2	4	no	—
614	C₄×C₅₉	—	2	2	no	—
615	C₄×C₅₉	—	4	2	no	—
616	C₄×C₅₉	—	4	1	no	—
617	C₄×C₅₉	—	4	2	no	—
618	C₄×C₅₉	—	4	1	no	—
619	C₄×C₅₉	—	4	1	no	—
620	C₄×C₅₉	—	4	1	no	—
621	C₄×C₅₉	—	4	2	no	—
622	C₄×C₅₉	—	4	2	no	—
623	C₄×C₅₉	—	4	2	no	—
624	C₂×#546	C₂×C₅₉	1	1	yes	characteristic, complemented
625	C₂×#518	C₂×C₅₉	1	1	yes	characteristic, complemented
626	#2635	C₂×C₅₉	1	1	yes	characteristic, complemented
627	#2631	C₂×C₅₉	1	1	yes	characteristic, complemented
628	#2626	C₂×C₅₉	1	1	yes	characteristic, complemented
629	#2610	C₂×C₅₉	1	1	yes	characteristic, complemented
630	#2598	C₂×C₅₉	1	1	yes	characteristic, complemented
631	#2564	C₂×C₅₉	1	1	yes	characteristic, complemented
632	#2539	C₂×C₅₉	1	1	yes	characteristic, complemented
633	#2471	C₂×C₅₉	1	2	yes	complemented
634	#2456	C₂×C₅₉	1	2	yes	complemented
635	#2456	C₂×C₅₉	1	2	yes	complemented
636	#2424	C₂×C₅₉	1	2	yes	complemented
637	#2418	C₂×C₅₉	1	2	yes	complemented
638	#2408	C₂×C₅₉	1	1	yes	characteristic, complemented
639	#2404	C₂×C₅₉	1	1	yes	characteristic, complemented
640	#2403	C₂×C₅₉	1	2	yes	complemented
641	#2397	C₂×C₅₉	1	1	yes	characteristic, complemented
642	#2388	C₂×C₅₉	1	1	yes	characteristic, complemented
643	C₂×#392	C₂×C₅₉	1	1	yes	characteristic, complemented
644	#2358	C₂×C₅₉	1	2	yes	complemented
645	#2353	C₂×C₅₉	1	1	yes	characteristic, complemented
646	D₄×C₂²⋊C₄	C₂×C₅₉	1	2	yes	complemented
647	C₂×C₅₉	—	2	4	no	—
648	C₂×C₅₉	—	4	2	no	—
649	C₂×C₅₉	—	4	2	no	—
650	C₂×C₅₉	—	4	2	no	—
651	C₂×C₅₉	—	4	4	no	—
652	C₂×C₅₉	—	4	2	no	—
653	C₂×C₅₉	—	8	2	no	—
654	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
655	C₂×C₅₉	#3484	1	1	yes	characteristic
656	C₂×C₅₉	#3490	1	2	yes	—
657	C₂×C₅₉	#3498	1	1	yes	characteristic
658	C₂×C₅₉	#3519	1	2	yes	—
659	C₂²×#41	C₂²×C₅₉	1	1	yes	characteristic, complemented
660	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
661	C₂³×D₄	C₂²×C₅₉	1	2	yes	—
662	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
663	#546	—	2	8	no	—
664	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic, complemented
665	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
666	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
667	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
668	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic, complemented
669	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
670	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
671	C₂×#120	C₂²×C₅₉	1	2	yes	—
672	C₂×#120	C₂²×C₅₉	1	2	yes	—
673	C₂×#120	C₂²×C₅₉	1	2	yes	complemented
674	C₂×#120	C₂²×C₅₉	1	2	yes	complemented
675	#518	—	2	8	no	—
676	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
677	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
678	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
679	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
680	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
681	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
682	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
683	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
684	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
685	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
686	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
687	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
688	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
689	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
690	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
691	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
692	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
693	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
694	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
695	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
696	#400	C₂²×C₅₉	1	1	yes	characteristic, complemented
697	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
698	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
699	#399	C₂²×C₅₉	1	1	yes	characteristic, complemented
700	#399	C₂²×C₅₉	1	2	yes	complemented
701	#397	C₂²×C₅₉	1	2	yes	complemented
702	#396	C₂²×C₅₉	1	2	yes	complemented
703	#396	C₂²×C₅₉	1	2	yes	complemented
704	#395	C₂²×C₅₉	1	1	yes	characteristic, complemented
705	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
706	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
707	#394	C₂²×C₅₉	1	2	yes	complemented
708	#394	C₂²×C₅₉	1	2	yes	complemented
709	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
710	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
711	#393	C₂²×C₅₉	1	1	yes	characteristic, complemented
712	#392	C₂²×C₅₉	1	1	yes	characteristic
713	#392	C₂²×C₅₉	1	1	yes	characteristic
714	#392	C₂²×C₅₉	1	2	yes	—
715	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
716	#392	C₂²×C₅₉	1	2	yes	complemented
717	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
718	#392	C₂²×C₅₉	1	2	yes	complemented
719	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
720	#392	C₂²×C₅₉	1	2	yes	complemented
721	#392	C₂²×C₅₉	1	2	yes	complemented
722	#392	C₂²×C₅₉	1	2	yes	complemented
723	#392	C₂²×C₅₉	1	1	yes	characteristic, complemented
724	#390	C₂²×C₅₉	1	2	yes	complemented
725	#390	C₂²×C₅₉	1	2	yes	complemented
726	#390	C₂²×C₅₉	1	2	yes	complemented
727	#390	C₂²×C₅₉	1	2	yes	complemented
728	#388	C₂²×C₅₉	1	2	yes	complemented
729	#388	C₂²×C₅₉	1	2	yes	complemented
730	#388	C₂²×C₅₉	1	2	yes	complemented
731	#388	C₂²×C₅₉	1	2	yes	complemented
732	#388	C₂²×C₅₉	1	2	yes	complemented
733	#387	C₂²×C₅₉	1	2	yes	complemented
734	#387	C₂²×C₅₉	1	2	yes	complemented
735	#386	C₂²×C₅₉	1	2	yes	—
736	#386	C₂²×C₅₉	1	2	yes	—
737	#386	C₂²×C₅₉	1	2	yes	complemented
738	#386	C₂²×C₅₉	1	2	yes	complemented
739	#386	C₂²×C₅₉	1	2	yes	complemented
740	#386	C₂²×C₅₉	1	2	yes	complemented
741	#386	C₂²×C₅₉	1	2	yes	complemented
742	#386	C₂²×C₅₉	1	2	yes	complemented
743	#386	C₂²×C₅₉	1	2	yes	complemented
744	#386	C₂²×C₅₉	1	2	yes	complemented
745	#386	C₂²×C₅₉	1	2	yes	complemented
746	#385	C₂²×C₅₉	1	2	yes	complemented
747	#385	C₂²×C₅₉	1	2	yes	complemented
748	#385	C₂²×C₅₉	1	2	yes	complemented
749	#383	C₂²×C₅₉	1	1	yes	characteristic, complemented
750	#381	C₂²×C₅₉	1	1	yes	characteristic, complemented
751	#380	C₂²×C₅₉	1	2	yes	complemented
752	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
753	#379	C₂²×C₅₉	1	2	yes	—
754	#379	C₂²×C₅₉	1	2	yes	complemented
755	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
756	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
757	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
758	#376	C₂²×C₅₉	1	1	yes	characteristic, complemented
759	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic, complemented
760	C₅₉	#35692	1	1	yes	characteristic, direct product factor, Sylow
761	C₂⁵	C₂³×C₅₉	1	2	yes	—
762	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
763	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
764	C₂×#41	—	2	4	no	—
765	C₂×#41	—	4	4	no	—
766	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
767	C₂²×D₄	—	2	4	no	—
768	C₂²×D₄	—	2	4	no	—
769	C₂²×D₄	—	2	4	no	—
770	C₂²×D₄	—	2	8	no	—
771	C₂²×D₄	—	2	4	no	—
772	C₂²×D₄	—	4	4	no	—
773	C₂²×D₄	—	4	4	no	—
774	C₂²×D₄	—	4	4	no	—
775	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
778	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
779	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
780	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
781	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
782	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
783	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
784	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
786	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
787	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
788	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
789	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
790	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
791	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
792	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
793	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
794	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
795	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
796	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
797	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
798	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
799	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
800	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
801	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
802	#124	—	2	4	no	—
803	#123	—	2	8	no	—
804	#123	—	4	4	no	—
805	C₂²⋊Q₈	—	2	4	no	—
806	#121	—	2	4	no	—
807	#121	—	2	8	no	—
808	#121	—	4	4	no	—
809	#120	—	2	8	no	—
810	#120	—	2	8	no	—
811	#120	—	4	4	no	—
812	#120	—	4	4	no	—
813	C₄×D₄	—	2	4	no	—
814	C₄×D₄	—	2	4	no	—
815	C₄×D₄	—	2	4	no	—
816	C₄×D₄	—	2	4	no	—
817	C₄×D₄	—	2	4	no	—
818	C₄×D₄	—	2	4	no	—
819	C₄×D₄	—	2	4	no	—
820	C₄×D₄	—	2	4	no	—
821	C₄×D₄	—	4	4	no	—
822	C₄×D₄	—	4	4	no	—
823	C₄×D₄	—	4	4	no	—
824	C₄×D₄	D₄×C₅₉	1	8	yes	complemented
825	#117	—	2	4	no	—
826	#117	—	2	4	no	—
827	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
832	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
834	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
835	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
836	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
837	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	—	2	4	no	—
839	C₂×C₂²⋊C₄	—	2	4	no	—
840	C₂×C₂²⋊C₄	—	2	4	no	—
841	C₂×C₂²⋊C₄	—	2	8	no	—
842	C₂×C₂²⋊C₄	—	2	4	no	—
843	C₂×C₂²⋊C₄	—	4	4	no	—
844	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
880	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
881	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
882	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
883	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
884	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
885	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
886	#95	C₂³×C₅₉	1	1	yes	characteristic
887	#95	C₂³×C₅₉	1	1	yes	characteristic
888	#95	C₂³×C₅₉	1	2	yes	—
889	#95	C₂³×C₅₉	1	1	yes	characteristic
890	#95	C₂³×C₅₉	1	2	yes	—
891	#95	C₂³×C₅₉	1	1	yes	characteristic
892	#95	C₂³×C₅₉	1	2	yes	—
893	#95	C₂³×C₅₉	1	2	yes	—
894	#95	C₂³×C₅₉	1	2	yes	—
895	#95	C₂³×C₅₉	1	2	yes	—
896	#95	C₂³×C₅₉	1	2	yes	—
897	#95	C₂³×C₅₉	1	2	yes	—
898	#95	C₂³×C₅₉	1	2	yes	—
899	#95	C₂³×C₅₉	1	2	yes	—
900	#95	C₂³×C₅₉	1	2	yes	—
901	C₂⁴	—	2	2	no	—
902	C₂⁴	—	2	2	no	—
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	2	no	—
905	C₂⁴	—	2	2	no	—
906	C₂⁴	—	2	4	no	—
907	C₂⁴	—	2	4	no	—
908	C₂⁴	—	2	4	no	—
909	C₂⁴	—	2	4	no	—
910	C₂⁴	—	4	2	no	—
911	C₂⁴	—	4	2	no	—
912	C₂⁴	—	4	2	no	—
913	C₂⁴	—	4	2	no	—
914	C₂⁴	—	4	2	no	—
915	C₂⁴	—	4	2	no	—
916	C₂⁴	—	4	2	no	—
917	C₂⁴	#41×C₅₉	1	4	yes	complemented
918	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
919	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
920	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
921	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
922	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
923	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
924	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
925	#41	—	4	16	no	—
926	C₂×Q₈	—	2	2	no	—
927	C₂×Q₈	—	4	2	no	—
928	C₂×D₄	—	2	32	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	4	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	4	no	—
939	C₂×D₄	—	2	4	no	—
940	C₂×D₄	—	2	4	no	—
941	C₂×D₄	—	2	4	no	—
942	C₂×D₄	—	2	4	no	—
943	C₂×D₄	—	2	4	no	—
944	C₂×D₄	—	2	4	no	—
945	C₂×D₄	—	2	4	no	—
946	C₂×D₄	—	2	4	no	—
947	C₂×D₄	—	2	4	no	—
948	C₂×D₄	—	2	4	no	—
949	C₂×D₄	—	2	4	no	—
950	C₂×D₄	—	2	4	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	4	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	2	4	no	—
957	C₂×D₄	—	2	4	no	—
958	C₂×D₄	—	4	2	no	—
959	C₂×D₄	—	4	2	no	—
960	C₂×D₄	—	4	2	no	—
961	C₂×D₄	—	4	2	no	—
962	C₂×D₄	—	4	2	no	—
963	C₂×D₄	—	4	2	no	—
964	C₂×D₄	—	4	2	no	—
965	C₂×D₄	—	4	2	no	—
966	C₂×D₄	—	4	2	no	—
967	C₂×D₄	—	4	2	no	—
968	C₂×D₄	—	4	2	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	16	no	—
971	C₂×D₄	—	4	32	no	—
972	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
973	C₂×D₄	#41×C₅₉	1	4	yes	complemented
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	4	no	—
978	C₂²×C₄	—	2	4	no	—
979	C₂²×C₄	—	2	2	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	4	no	—
982	C₂²×C₄	—	2	4	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	4	no	—
988	C₂²×C₄	—	4	2	no	—
989	C₂²×C₄	—	4	2	no	—
990	C₂²×C₄	—	4	2	no	—
991	C₂²×C₄	—	4	2	no	—
992	C₂²×C₄	—	4	2	no	—
993	C₂²×C₄	—	4	2	no	—
994	C₂²×C₄	—	4	2	no	—
995	C₂²×C₄	—	4	2	no	—
996	C₂²×C₄	—	4	2	no	—
997	C₂²×C₄	—	4	2	no	—
998	C₂²×C₄	—	4	2	no	—
999	C₂²×C₄	—	4	2	no	—
1000	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
1001	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	complemented
1002	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1003	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1004	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1006	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1007	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1008	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1011	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1012	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1014	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1015	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1016	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	4	no	—
1023	C₄⋊C₄	—	2	4	no	—
1024	C₄⋊C₄	—	4	2	no	—
1025	C₄⋊C₄	—	4	2	no	—
1026	C₄⋊C₄	—	4	2	no	—
1027	C₄⋊C₄	—	4	2	no	—
1028	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	complemented
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	4	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	4	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	4	no	—
1046	C₂²⋊C₄	—	2	4	no	—
1047	C₂²⋊C₄	—	2	4	no	—
1048	C₂²⋊C₄	—	2	4	no	—
1049	C₂²⋊C₄	—	2	4	no	—
1050	C₂²⋊C₄	—	2	4	no	—
1051	C₂²⋊C₄	—	2	4	no	—
1052	C₂²⋊C₄	—	4	2	no	—
1053	C₂²⋊C₄	—	4	2	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	2	no	—
1056	C₂²⋊C₄	—	4	2	no	—
1057	C₂²⋊C₄	—	4	2	no	—
1058	C₂²⋊C₄	—	4	2	no	—
1059	C₂²⋊C₄	—	4	2	no	—
1060	C₂²⋊C₄	—	4	2	no	—
1061	C₂²⋊C₄	—	4	2	no	—
1062	C₂²⋊C₄	—	4	2	no	—
1063	C₂²⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
1064	C₂²⋊C₄	C₂×D₄×C₅₉	1	4	yes	complemented
1065	C₄²	—	2	2	no	—
1066	C₄²	—	2	2	no	—
1067	C₄²	—	2	2	no	—
1068	C₄²	—	2	4	no	—
1069	C₄²	—	4	2	no	—
1070	C₄²	C₂×D₄×C₅₉	1	4	yes	complemented
1071	C₂³	—	2	2	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	8	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	2	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	2	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	8	no	—
1097	C₂³	—	2	2	no	—
1098	C₂³	—	2	2	no	—
1099	C₂³	—	2	2	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	2	no	—
1104	C₂³	—	4	8	no	—
1105	C₂³	—	4	8	no	—
1106	C₂³	—	4	8	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	8	no	—
1109	C₂³	—	8	4	no	—
1110	C₂³	—	8	4	no	—
1111	C₂³	—	8	2	no	—
1112	C₂³	—	8	4	no	—
1113	C₂³	—	8	2	no	—
1114	C₂³	—	8	4	no	—
1115	C₂³	—	8	4	no	—
1116	C₂³	—	8	2	no	—
1117	C₂³	—	8	4	no	—
1118	C₂³	—	8	2	no	—
1119	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1120	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1121	C₂³	C₂×#41×C₅₉	1	2	yes	—
1122	C₂³	C₂×#41×C₅₉	1	2	yes	—
1123	C₂³	C₂×#41×C₅₉	1	2	yes	—
1124	C₂³	C₂×#41×C₅₉	1	2	yes	—
1125	C₂³	C₂×#41×C₅₉	1	2	yes	—
1126	C₂³	H(5,𝔽₂)×C₅₉	1	4	yes	—
1127	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1128	Q₈	—	4	4	no	—
1129	D₄	—	2	8	no	—
1130	D₄	—	2	8	no	—
1131	D₄	—	2	16	no	—
1132	D₄	—	2	8	no	—
1133	D₄	—	2	8	no	—
1134	D₄	—	2	8	no	—
1135	D₄	—	4	8	no	—
1136	D₄	—	4	8	no	—
1137	D₄	—	4	4	no	—
1138	D₄	—	4	8	no	—
1139	D₄	—	4	8	no	—
1140	D₄	—	4	8	no	—
1141	D₄	—	4	8	no	—
1142	D₄	—	8	4	no	—
1143	D₄	—	8	4	no	—
1144	C₂×C₄	—	2	8	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	4	4	no	—
1179	C₂×C₄	—	4	4	no	—
1180	C₂×C₄	—	4	8	no	—
1181	C₂×C₄	—	4	8	no	—
1182	C₂×C₄	—	8	2	no	—
1183	C₂×C₄	—	8	2	no	—
1184	C₂×C₄	—	8	2	no	—
1185	C₂×C₄	—	8	2	no	—
1186	C₂×C₄	—	8	4	no	—
1187	C₂×C₄	—	8	2	no	—
1188	C₂×C₄	—	8	2	no	—
1189	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1190	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1191	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1192	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1193	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1194	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1195	C₂×C₄	H(5,𝔽₂)×C₅₉	1	4	yes	—
1196	C₂²	—	2	4	no	—
1197	C₂²	—	2	2	no	—
1198	C₂²	—	2	4	no	—
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	4	no	—
1201	C₂²	—	2	4	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	4	no	—
1209	C₂²	—	2	4	no	—
1210	C₂²	—	2	4	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	4	2	no	—
1213	C₂²	—	4	2	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	4	2	no	—
1216	C₂²	—	4	2	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	2	no	—
1221	C₂²	—	4	2	no	—
1222	C₂²	—	4	2	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	2	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	—	4	2	no	—
1230	C₂²	—	4	2	no	—
1231	C₂²	—	4	2	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	8	8	no	—
1235	C₂²	—	8	16	no	—
1236	C₂²	—	8	8	no	—
1237	C₂²	C₅₉×#525	1	4	yes	—
1238	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1239	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1240	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1241	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	2	yes	—
1242	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	2	yes	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	2	4	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	4	2	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	2	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	2	no	—
1259	C₂	—	2	4	no	—
1260	C₂	—	4	2	no	—
1261	C₂	—	4	2	no	—
1262	C₂	—	4	4	no	—
1263	C₂	—	4	2	no	—
1264	C₂	—	4	2	no	—
1265	C₂	—	8	2	no	—
1266	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
1267	C₂	C₅₉×#3484	1	1	yes	characteristic
1268	C₂	C₅₉×#3490	1	2	yes	—
1269	C₂	C₅₉×#3498	1	1	yes	characteristic
1270	C₂	C₅₉×#3519	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×#546	C₂	semidirect
2. C₂×C₅₉×#518	C₂	semidirect
3. C₅₉×#2635	C₂	semidirect
4. C₅₉×#2631	C₂	semidirect
5. C₅₉×#2626	C₂	semidirect
6. C₅₉×#2610	C₂	semidirect
7. C₅₉×#2598	C₂	semidirect
8. C₅₉×#2564	C₂	semidirect
9. C₅₉×#2539	C₂	semidirect
10. C₅₉×#2471	C₂	semidirect
11. C₅₉×#2456	C₂	semidirect
12. C₅₉×#2456	C₂	semidirect
13. C₅₉×#2424	C₂	semidirect
14. C₅₉×#2418	C₂	semidirect
15. C₅₉×#2408	C₂	semidirect
16. C₅₉×#2404	C₂	semidirect
17. C₅₉×#2403	C₂	semidirect
18. C₅₉×#2397	C₂	semidirect
19. C₅₉×#2388	C₂	semidirect
20. C₂×C₅₉×#392	C₂	semidirect
21. C₅₉×#2358	C₂	semidirect
22. C₅₉×#2353	C₂	semidirect
23. D₄×C₂²⋊C₄×C₅₉	C₂	semidirect
24. C₂²×#41×C₅₉	C₂²	semidirect
27. C₂³×D₄×C₅₉	C₂²	semidirect
29. C₂×#124×C₅₉	C₂²	semidirect
30. C₂×#123×C₅₉	C₂²	semidirect
31. C₂×#123×C₅₉	C₂²	semidirect
32. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
33. C₂×#121×C₅₉	C₂²	semidirect
34. C₂×#121×C₅₉	C₂²	semidirect
35. C₂×#121×C₅₉	C₂²	semidirect
38. C₂×#120×C₅₉	C₂²	semidirect
39. C₂×#120×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
52. C₂×C₄×D₄×C₅₉	C₂²	semidirect
53. C₂×#117×C₅₉	C₂²	semidirect
54. C₂×#117×C₅₉	C₂²	semidirect
57. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
58. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
59. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
60. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
61. C₅₉×#400	C₂²	semidirect
62. C₅₉×#399	C₂²	semidirect
63. C₅₉×#399	C₂²	semidirect
64. C₅₉×#399	C₂²	semidirect
65. C₅₉×#399	C₂²	semidirect
66. C₅₉×#397	C₂²	semidirect
67. C₅₉×#396	C₂²	semidirect
68. C₅₉×#396	C₂²	semidirect
69. C₅₉×#395	C₂²	semidirect
70. C₅₉×#394	C₂²	semidirect
71. C₅₉×#394	C₂²	semidirect
72. C₅₉×#394	C₂²	semidirect
73. C₅₉×#394	C₂²	semidirect
74. C₅₉×#393	C₂²	semidirect
75. C₅₉×#393	C₂²	semidirect
76. C₅₉×#393	C₂²	semidirect
80. C₅₉×#392	C₂²	semidirect
81. C₅₉×#392	C₂²	semidirect
82. C₅₉×#392	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×#392	C₂²	semidirect
89. C₅₉×#390	C₂²	semidirect
90. C₅₉×#390	C₂²	semidirect
91. C₅₉×#390	C₂²	semidirect
92. C₅₉×#390	C₂²	semidirect
93. C₅₉×#388	C₂²	semidirect
94. C₅₉×#388	C₂²	semidirect
95. C₅₉×#388	C₂²	semidirect
96. C₅₉×#388	C₂²	semidirect
97. C₅₉×#388	C₂²	semidirect
98. C₅₉×#387	C₂²	semidirect
99. C₅₉×#387	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
108. C₅₉×#386	C₂²	semidirect
109. C₅₉×#386	C₂²	semidirect
110. C₅₉×#386	C₂²	semidirect
111. C₅₉×#385	C₂²	semidirect
112. C₅₉×#385	C₂²	semidirect
113. C₅₉×#385	C₂²	semidirect
114. C₅₉×#383	C₂²	semidirect
115. C₅₉×#381	C₂²	semidirect
116. C₅₉×#380	C₂²	semidirect
117. C₅₉×#380	C₂²	semidirect
119. C₅₉×#379	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
123. C₅₉×#376	C₂²	semidirect
124. C₂×#95×C₅₉	C₂²	semidirect
188. C₄×D₄×C₅₉	D₄	semidirect
281. C₂⁴×C₅₉	#41	semidirect
337. C₂×D₄×C₅₉	#41	semidirect
365. C₂²×C₄×C₅₉	C₂×D₄	semidirect
392. C₄⋊C₄×C₅₉	C₂×D₄	semidirect
428. C₂²⋊C₄×C₅₉	C₂×D₄	semidirect
434. C₄²×C₅₉	C₂×D₄	semidirect
560. #35692	C₅₉	direct (N × H)
624. C₂×#546	C₂×C₅₉	semidirect
625. C₂×#518	C₂×C₅₉	semidirect
626. #2635	C₂×C₅₉	semidirect
627. #2631	C₂×C₅₉	semidirect
628. #2626	C₂×C₅₉	semidirect
629. #2610	C₂×C₅₉	semidirect
630. #2598	C₂×C₅₉	semidirect
631. #2564	C₂×C₅₉	semidirect
632. #2539	C₂×C₅₉	semidirect
633. #2471	C₂×C₅₉	semidirect
634. #2456	C₂×C₅₉	semidirect
635. #2456	C₂×C₅₉	semidirect
636. #2424	C₂×C₅₉	semidirect
637. #2418	C₂×C₅₉	semidirect
638. #2408	C₂×C₅₉	semidirect
639. #2404	C₂×C₅₉	semidirect
640. #2403	C₂×C₅₉	semidirect
641. #2397	C₂×C₅₉	semidirect
642. #2388	C₂×C₅₉	semidirect
643. C₂×#392	C₂×C₅₉	semidirect
644. #2358	C₂×C₅₉	semidirect
645. #2353	C₂×C₅₉	semidirect
646. D₄×C₂²⋊C₄	C₂×C₅₉	semidirect
659. C₂²×#41	C₂²×C₅₉	semidirect
662. C₂³×D₄	C₂²×C₅₉	semidirect
664. C₂×#124	C₂²×C₅₉	semidirect
665. C₂×#123	C₂²×C₅₉	semidirect
666. C₂×#123	C₂²×C₅₉	semidirect
667. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
668. C₂×#121	C₂²×C₅₉	semidirect
669. C₂×#121	C₂²×C₅₉	semidirect
670. C₂×#121	C₂²×C₅₉	semidirect
673. C₂×#120	C₂²×C₅₉	semidirect
674. C₂×#120	C₂²×C₅₉	semidirect
680. C₂×C₄×D₄	C₂²×C₅₉	semidirect
681. C₂×C₄×D₄	C₂²×C₅₉	semidirect
682. C₂×C₄×D₄	C₂²×C₅₉	semidirect
683. C₂×C₄×D₄	C₂²×C₅₉	semidirect
684. C₂×C₄×D₄	C₂²×C₅₉	semidirect
685. C₂×C₄×D₄	C₂²×C₅₉	semidirect
686. C₂×C₄×D₄	C₂²×C₅₉	semidirect
687. C₂×C₄×D₄	C₂²×C₅₉	semidirect
688. C₂×#117	C₂²×C₅₉	semidirect
689. C₂×#117	C₂²×C₅₉	semidirect
692. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
693. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
694. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
695. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
696. #400	C₂²×C₅₉	semidirect
697. #399	C₂²×C₅₉	semidirect
698. #399	C₂²×C₅₉	semidirect
699. #399	C₂²×C₅₉	semidirect
700. #399	C₂²×C₅₉	semidirect
701. #397	C₂²×C₅₉	semidirect
702. #396	C₂²×C₅₉	semidirect
703. #396	C₂²×C₅₉	semidirect
704. #395	C₂²×C₅₉	semidirect
705. #394	C₂²×C₅₉	semidirect
706. #394	C₂²×C₅₉	semidirect
707. #394	C₂²×C₅₉	semidirect
708. #394	C₂²×C₅₉	semidirect
709. #393	C₂²×C₅₉	semidirect
710. #393	C₂²×C₅₉	semidirect
711. #393	C₂²×C₅₉	semidirect
715. #392	C₂²×C₅₉	semidirect
716. #392	C₂²×C₅₉	semidirect
717. #392	C₂²×C₅₉	semidirect
718. #392	C₂²×C₅₉	semidirect
719. #392	C₂²×C₅₉	semidirect
720. #392	C₂²×C₅₉	semidirect
721. #392	C₂²×C₅₉	semidirect
722. #392	C₂²×C₅₉	semidirect
723. #392	C₂²×C₅₉	semidirect
724. #390	C₂²×C₅₉	semidirect
725. #390	C₂²×C₅₉	semidirect
726. #390	C₂²×C₅₉	semidirect
727. #390	C₂²×C₅₉	semidirect
728. #388	C₂²×C₅₉	semidirect
729. #388	C₂²×C₅₉	semidirect
730. #388	C₂²×C₅₉	semidirect
731. #388	C₂²×C₅₉	semidirect
732. #388	C₂²×C₅₉	semidirect
733. #387	C₂²×C₅₉	semidirect
734. #387	C₂²×C₅₉	semidirect
737. #386	C₂²×C₅₉	semidirect
738. #386	C₂²×C₅₉	semidirect
739. #386	C₂²×C₅₉	semidirect
740. #386	C₂²×C₅₉	semidirect
741. #386	C₂²×C₅₉	semidirect
742. #386	C₂²×C₅₉	semidirect
743. #386	C₂²×C₅₉	semidirect
744. #386	C₂²×C₅₉	semidirect
745. #386	C₂²×C₅₉	semidirect
746. #385	C₂²×C₅₉	semidirect
747. #385	C₂²×C₅₉	semidirect
748. #385	C₂²×C₅₉	semidirect
749. #383	C₂²×C₅₉	semidirect
750. #381	C₂²×C₅₉	semidirect
751. #380	C₂²×C₅₉	semidirect
752. #380	C₂²×C₅₉	semidirect
754. #379	C₂²×C₅₉	semidirect
755. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
756. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
757. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
758. #376	C₂²×C₅₉	semidirect
759. C₂×#95	C₂²×C₅₉	semidirect
760. C₅₉	#35692	direct (N × H)
824. C₄×D₄	D₄×C₅₉	semidirect
917. C₂⁴	#41×C₅₉	semidirect
973. C₂×D₄	#41×C₅₉	semidirect
1001. C₂²×C₄	C₂×D₄×C₅₉	semidirect
1028. C₄⋊C₄	C₂×D₄×C₅₉	semidirect
1064. C₂²⋊C₄	C₂×D₄×C₅₉	semidirect
1070. 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×#546	2
C₂×C₅₉×#518	2
C₅₉×#2635	2
C₅₉×#2631	2
C₅₉×#2626	2
C₅₉×#2610	2
C₅₉×#2598	2
C₅₉×#2564	2
C₅₉×#2539	2
C₅₉×#2471	2
C₅₉×#2456	2
C₅₉×#2424	2
C₅₉×#2418	2
C₅₉×#2408	2
C₅₉×#2404	2
C₅₉×#2403	2
C₅₉×#2397	2
C₅₉×#2388	2
C₂×C₅₉×#392	2
C₅₉×#2358	2
C₅₉×#2353	2
D₄×C₂²⋊C₄×C₅₉	2
#35692	59

Subgroups — C59×#35692 #28447801

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35692 #28447801