Subgroups — C₅₉×#35823 #28447932

Order 15104.

2704 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2630	C₂	1	2	yes	maximal, complemented
4	C₅₉×#2629	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2566	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2537	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2534	C₂	1	2	yes	maximal, complemented
8	C₅₉×#2480	C₂	1	2	yes	maximal, complemented
9	C₅₉×#2468	C₂	1	2	yes	maximal, complemented
10	C₅₉×#2464	C₂	1	2	yes	maximal, complemented
11	C₅₉×#2424	C₂	1	2	yes	maximal, complemented
12	C₅₉×#2422	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#2420	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#2411	C₂	1	2	yes	maximal, complemented
15	C₅₉×#2408	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2408	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2392	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#2392	C₂	1	2	yes	maximal, complemented
19	C₅₉×#2363	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#2361	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2354	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#2354	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2352	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
25	C₅₉×#553	—	2	8	no	—
26	C₂×#126×C₅₉	C₂²	1	2	yes	complemented
27	C₂×#125×C₅₉	C₂²	1	1	yes	characteristic, complemented
28	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
29	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
30	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
32	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
33	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
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	C₅₉×#518	—	2	8	no	—
39	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
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	2	yes	—
44	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
46	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
48	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
50	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
51	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
52	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×#117×C₅₉	C₂²	1	2	yes	complemented
54	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
56	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
57	C₅₉×#398	C₂²	1	2	yes	complemented
58	C₅₉×#398	C₂²	1	2	yes	complemented
59	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
60	C₅₉×#397	C₂²	1	1	yes	characteristic
61	C₅₉×#397	C₂²	1	2	yes	complemented
62	C₅₉×#397	C₂²	1	2	yes	complemented
63	C₅₉×#396	C₂²	1	2	yes	—
64	C₅₉×#396	C₂²	1	2	yes	—
65	C₅₉×#396	C₂²	1	2	yes	complemented
66	C₅₉×#396	C₂²	1	2	yes	complemented
67	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
68	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#394	C₂²	1	1	yes	characteristic
70	C₅₉×#394	C₂²	1	2	yes	—
71	C₅₉×#394	C₂²	1	2	yes	—
72	C₅₉×#394	C₂²	1	1	yes	characteristic
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×#394	C₂²	1	2	yes	complemented
77	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
78	C₅₉×#392	C₂²	1	2	yes	—
79	C₅₉×#392	C₂²	1	2	yes	—
80	C₅₉×#392	C₂²	1	1	yes	characteristic
81	C₅₉×#390	C₂²	1	1	yes	characteristic
82	C₅₉×#390	C₂²	1	1	yes	characteristic
83	C₅₉×#390	C₂²	1	1	yes	characteristic
84	C₅₉×#390	C₂²	1	1	yes	characteristic
85	C₅₉×#390	C₂²	1	2	yes	—
86	C₅₉×#390	C₂²	1	2	yes	complemented
87	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
88	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#388	C₂²	1	2	yes	—
90	C₅₉×#388	C₂²	1	2	yes	—
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×#386	C₂²	1	2	yes	—
98	C₅₉×#386	C₂²	1	2	yes	complemented
99	C₅₉×#386	C₂²	1	2	yes	complemented
100	C₅₉×#386	C₂²	1	2	yes	complemented
101	C₅₉×#385	C₂²	1	2	yes	complemented
102	C₅₉×#385	C₂²	1	2	yes	complemented
103	C₅₉×#385	C₂²	1	2	yes	complemented
104	C₅₉×#385	C₂²	1	2	yes	complemented
105	C₅₉×#384	C₂²	1	1	yes	characteristic, complemented
106	C₅₉×#384	C₂²	1	1	yes	characteristic, complemented
107	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#381	C₂²	1	2	yes	complemented
109	C₅₉×#380	C₂²	1	1	yes	characteristic
110	C₅₉×#380	C₂²	1	1	yes	characteristic
111	C₅₉×#380	C₂²	1	2	yes	complemented
112	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#380	C₂²	1	2	yes	complemented
115	C₅₉×#379	C₂²	1	2	yes	—
116	C₅₉×#379	C₂²	1	2	yes	—
117	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₄⋊C₄×C₅₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
122	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₅₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₅₉	—	2	4	no	—
127	C₂²×D₄×C₅₉	—	2	4	no	—
128	C₂²×D₄×C₅₉	—	2	4	no	—
129	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
132	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
143	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
144	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
147	#126×C₅₉	—	2	8	no	—
148	#125×C₅₉	—	2	4	no	—
149	#123×C₅₉	—	2	8	no	—
150	#123×C₅₉	—	4	4	no	—
151	#121×C₅₉	—	2	4	no	—
152	#121×C₅₉	—	2	4	no	—
153	#121×C₅₉	—	2	4	no	—
154	#121×C₅₉	—	2	4	no	—
155	#121×C₅₉	—	2	8	no	—
156	#121×C₅₉	—	4	4	no	—
157	#120×C₅₉	—	4	4	no	—
158	#120×C₅₉	—	4	4	no	—
159	C₄×D₄×C₅₉	—	2	4	no	—
160	C₄×D₄×C₅₉	—	2	8	no	—
161	C₄×D₄×C₅₉	—	2	8	no	—
162	C₄×D₄×C₅₉	—	2	4	no	—
163	C₄×D₄×C₅₉	—	2	4	no	—
164	C₄×D₄×C₅₉	—	2	4	no	—
165	C₄×D₄×C₅₉	—	2	8	no	—
166	C₄×D₄×C₅₉	—	2	4	no	—
167	C₄×D₄×C₅₉	—	2	4	no	—
168	C₄×D₄×C₅₉	—	4	4	no	—
169	C₄×D₄×C₅₉	D₄	1	8	yes	complemented
170	#117×C₅₉	—	2	4	no	—
171	#117×C₅₉	—	2	4	no	—
172	#117×C₅₉	—	2	4	no	—
173	#117×C₅₉	—	4	4	no	—
174	C₂×C₄⋊C₄×C₅₉	—	2	4	no	—
175	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
181	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
191	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
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×C₂²⋊C₄×C₅₉	—	2	8	no	—
198	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
199	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
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	1	yes	characteristic
223	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
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×C₄²×C₅₉	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
237	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
238	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
239	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
240	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
241	#95×C₅₉	C₂³	1	1	yes	characteristic
242	#95×C₅₉	C₂³	1	2	yes	—
243	#95×C₅₉	C₂³	1	1	yes	characteristic
244	#95×C₅₉	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
253	#95×C₅₉	C₂³	1	1	yes	characteristic
254	#95×C₅₉	C₂³	1	2	yes	—
255	#95×C₅₉	C₂³	1	2	yes	—
256	#95×C₅₉	C₂³	1	2	yes	—
257	C₂⁴×C₅₉	—	2	4	no	—
258	C₂⁴×C₅₉	—	2	4	no	—
259	C₂⁴×C₅₉	—	2	4	no	—
260	C₂⁴×C₅₉	—	4	2	no	—
261	C₂⁴×C₅₉	—	4	2	no	—
262	C₂⁴×C₅₉	—	4	2	no	—
263	C₂⁴×C₅₉	—	4	2	no	—
264	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
265	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
266	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
267	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
268	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
269	C₂×D₄×C₅₉	—	2	32	no	—
270	C₂×D₄×C₅₉	—	2	4	no	—
271	C₂×D₄×C₅₉	—	2	4	no	—
272	C₂×D₄×C₅₉	—	2	4	no	—
273	C₂×D₄×C₅₉	—	2	2	no	—
274	C₂×D₄×C₅₉	—	2	2	no	—
275	C₂×D₄×C₅₉	—	2	4	no	—
276	C₂×D₄×C₅₉	—	2	2	no	—
277	C₂×D₄×C₅₉	—	2	4	no	—
278	C₂×D₄×C₅₉	—	2	4	no	—
279	C₂×D₄×C₅₉	—	2	2	no	—
280	C₂×D₄×C₅₉	—	2	4	no	—
281	C₂×D₄×C₅₉	—	2	4	no	—
282	C₂×D₄×C₅₉	—	2	2	no	—
283	C₂×D₄×C₅₉	—	2	2	no	—
284	C₂×D₄×C₅₉	—	2	4	no	—
285	C₂×D₄×C₅₉	—	2	2	no	—
286	C₂×D₄×C₅₉	—	2	2	no	—
287	C₂×D₄×C₅₉	—	2	2	no	—
288	C₂×D₄×C₅₉	—	2	2	no	—
289	C₂×D₄×C₅₉	—	4	2	no	—
290	C₂×D₄×C₅₉	—	4	1	no	—
291	C₂×D₄×C₅₉	—	4	1	no	—
292	C₂×D₄×C₅₉	—	4	1	no	—
293	C₂×D₄×C₅₉	—	4	2	no	—
294	C₂×D₄×C₅₉	—	4	2	no	—
295	C₂×D₄×C₅₉	—	4	2	no	—
296	C₂×D₄×C₅₉	—	4	2	no	—
297	C₂×D₄×C₅₉	—	4	2	no	—
298	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
299	C₂×D₄×C₅₉	#41	1	4	yes	—
300	C₂²×C₄×C₅₉	—	2	2	no	—
301	C₂²×C₄×C₅₉	—	2	2	no	—
302	C₂²×C₄×C₅₉	—	2	4	no	—
303	C₂²×C₄×C₅₉	—	2	2	no	—
304	C₂²×C₄×C₅₉	—	2	2	no	—
305	C₂²×C₄×C₅₉	—	2	2	no	—
306	C₂²×C₄×C₅₉	—	2	2	no	—
307	C₂²×C₄×C₅₉	—	2	2	no	—
308	C₂²×C₄×C₅₉	—	2	2	no	—
309	C₂²×C₄×C₅₉	—	2	4	no	—
310	C₂²×C₄×C₅₉	—	2	4	no	—
311	C₂²×C₄×C₅₉	—	2	4	no	—
312	C₂²×C₄×C₅₉	—	4	2	no	—
313	C₂²×C₄×C₅₉	—	4	2	no	—
314	C₂²×C₄×C₅₉	—	4	2	no	—
315	C₂²×C₄×C₅₉	—	4	2	no	—
316	C₂²×C₄×C₅₉	—	4	2	no	—
317	C₂²×C₄×C₅₉	—	4	2	no	—
318	C₂²×C₄×C₅₉	—	4	2	no	—
319	C₂²×C₄×C₅₉	—	4	2	no	—
320	C₂²×C₄×C₅₉	—	4	2	no	—
321	C₂²×C₄×C₅₉	—	4	2	no	—
322	C₂²×C₄×C₅₉	C₂×D₄	1	8	yes	—
323	C₂²×C₄×C₅₉	#41	1	4	yes	—
324	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
342	C₄⋊C₄×C₅₉	—	2	2	no	—
343	C₄⋊C₄×C₅₉	—	2	4	no	—
344	C₄⋊C₄×C₅₉	—	2	2	no	—
345	C₄⋊C₄×C₅₉	—	2	2	no	—
346	C₄⋊C₄×C₅₉	—	2	2	no	—
347	C₄⋊C₄×C₅₉	—	2	2	no	—
348	C₄⋊C₄×C₅₉	—	2	4	no	—
349	C₄⋊C₄×C₅₉	—	2	2	no	—
350	C₄⋊C₄×C₅₉	—	2	4	no	—
351	C₄⋊C₄×C₅₉	—	2	2	no	—
352	C₄⋊C₄×C₅₉	—	2	2	no	—
353	C₄⋊C₄×C₅₉	—	2	2	no	—
354	C₄⋊C₄×C₅₉	—	2	2	no	—
355	C₄⋊C₄×C₅₉	—	2	2	no	—
356	C₄⋊C₄×C₅₉	—	4	2	no	—
357	C₄⋊C₄×C₅₉	—	4	1	no	—
358	C₄⋊C₄×C₅₉	—	4	2	no	—
359	C₄⋊C₄×C₅₉	—	4	2	no	—
360	C₄⋊C₄×C₅₉	—	4	2	no	—
361	C₄⋊C₄×C₅₉	—	4	2	no	—
362	C₄⋊C₄×C₅₉	—	4	2	no	—
363	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
364	C₂²⋊C₄×C₅₉	—	2	4	no	—
365	C₂²⋊C₄×C₅₉	—	2	4	no	—
366	C₂²⋊C₄×C₅₉	—	2	4	no	—
367	C₂²⋊C₄×C₅₉	—	2	2	no	—
368	C₂²⋊C₄×C₅₉	—	2	2	no	—
369	C₂²⋊C₄×C₅₉	—	2	4	no	—
370	C₂²⋊C₄×C₅₉	—	2	4	no	—
371	C₂²⋊C₄×C₅₉	—	2	4	no	—
372	C₂²⋊C₄×C₅₉	—	2	2	no	—
373	C₂²⋊C₄×C₅₉	—	2	4	no	—
374	C₂²⋊C₄×C₅₉	—	2	2	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	2	no	—
380	C₂²⋊C₄×C₅₉	—	2	2	no	—
381	C₂²⋊C₄×C₅₉	—	2	2	no	—
382	C₂²⋊C₄×C₅₉	—	2	2	no	—
383	C₂²⋊C₄×C₅₉	—	2	4	no	—
384	C₂²⋊C₄×C₅₉	—	2	2	no	—
385	C₂²⋊C₄×C₅₉	—	2	4	no	—
386	C₂²⋊C₄×C₅₉	—	4	2	no	—
387	C₂²⋊C₄×C₅₉	—	4	1	no	—
388	C₂²⋊C₄×C₅₉	—	4	2	no	—
389	C₂²⋊C₄×C₅₉	—	4	1	no	—
390	C₂²⋊C₄×C₅₉	—	4	2	no	—
391	C₂²⋊C₄×C₅₉	—	4	2	no	—
392	C₂²⋊C₄×C₅₉	—	4	2	no	—
393	C₂²⋊C₄×C₅₉	—	4	2	no	—
394	C₂²⋊C₄×C₅₉	—	4	2	no	—
395	C₂²⋊C₄×C₅₉	—	4	2	no	—
396	C₂²⋊C₄×C₅₉	—	4	2	no	—
397	C₂²⋊C₄×C₅₉	C₂×D₄	1	8	yes	—
398	C₄²×C₅₉	—	2	4	no	—
399	C₄²×C₅₉	—	2	2	no	—
400	C₄²×C₅₉	—	2	4	no	—
401	C₄²×C₅₉	—	2	2	no	—
402	C₄²×C₅₉	—	2	2	no	—
403	C₄²×C₅₉	—	2	4	no	—
404	C₄²×C₅₉	—	4	2	no	—
405	C₄²×C₅₉	C₂×D₄	1	4	yes	—
406	C₂³×C₅₉	—	2	16	no	—
407	C₂³×C₅₉	—	2	1	no	—
408	C₂³×C₅₉	—	2	2	no	—
409	C₂³×C₅₉	—	2	1	no	—
410	C₂³×C₅₉	—	2	1	no	—
411	C₂³×C₅₉	—	2	1	no	—
412	C₂³×C₅₉	—	2	1	no	—
413	C₂³×C₅₉	—	2	2	no	—
414	C₂³×C₅₉	—	2	2	no	—
415	C₂³×C₅₉	—	2	2	no	—
416	C₂³×C₅₉	—	2	2	no	—
417	C₂³×C₅₉	—	2	1	no	—
418	C₂³×C₅₉	—	2	2	no	—
419	C₂³×C₅₉	—	2	2	no	—
420	C₂³×C₅₉	—	2	1	no	—
421	C₂³×C₅₉	—	2	1	no	—
422	C₂³×C₅₉	—	2	2	no	—
423	C₂³×C₅₉	—	2	2	no	—
424	C₂³×C₅₉	—	2	2	no	—
425	C₂³×C₅₉	—	2	1	no	—
426	C₂³×C₅₉	—	2	2	no	—
427	C₂³×C₅₉	—	2	2	no	—
428	C₂³×C₅₉	—	2	1	no	—
429	C₂³×C₅₉	—	2	1	no	—
430	C₂³×C₅₉	—	2	1	no	—
431	C₂³×C₅₉	—	2	1	no	—
432	C₂³×C₅₉	—	2	1	no	—
433	C₂³×C₅₉	—	2	1	no	—
434	C₂³×C₅₉	—	2	1	no	—
435	C₂³×C₅₉	—	2	1	no	—
436	C₂³×C₅₉	—	2	1	no	—
437	C₂³×C₅₉	—	2	1	no	—
438	C₂³×C₅₉	—	8	4	no	—
439	C₂³×C₅₉	—	8	4	no	—
440	C₂³×C₅₉	—	8	4	no	—
441	C₂³×C₅₉	—	8	4	no	—
442	C₂³×C₅₉	—	8	4	no	—
443	C₂³×C₅₉	—	8	4	no	—
444	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
445	C₂³×C₅₉	C₂×#41	1	2	yes	—
446	C₂³×C₅₉	C₂×#41	1	4	yes	—
447	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
448	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
449	D₄×C₅₉	—	2	16	no	—
450	D₄×C₅₉	—	2	8	no	—
451	D₄×C₅₉	—	2	8	no	—
452	D₄×C₅₉	—	4	4	no	—
453	D₄×C₅₉	—	4	4	no	—
454	D₄×C₅₉	—	4	8	no	—
455	D₄×C₅₉	—	4	4	no	—
456	D₄×C₅₉	—	4	8	no	—
457	D₄×C₅₉	—	8	4	no	—
458	D₄×C₅₉	—	8	4	no	—
459	C₂×C₄×C₅₉	—	2	1	no	—
460	C₂×C₄×C₅₉	—	2	1	no	—
461	C₂×C₄×C₅₉	—	2	1	no	—
462	C₂×C₄×C₅₉	—	2	2	no	—
463	C₂×C₄×C₅₉	—	2	1	no	—
464	C₂×C₄×C₅₉	—	2	1	no	—
465	C₂×C₄×C₅₉	—	2	1	no	—
466	C₂×C₄×C₅₉	—	2	1	no	—
467	C₂×C₄×C₅₉	—	2	2	no	—
468	C₂×C₄×C₅₉	—	2	1	no	—
469	C₂×C₄×C₅₉	—	2	8	no	—
470	C₂×C₄×C₅₉	—	2	1	no	—
471	C₂×C₄×C₅₉	—	2	2	no	—
472	C₂×C₄×C₅₉	—	2	1	no	—
473	C₂×C₄×C₅₉	—	2	1	no	—
474	C₂×C₄×C₅₉	—	2	2	no	—
475	C₂×C₄×C₅₉	—	2	1	no	—
476	C₂×C₄×C₅₉	—	2	2	no	—
477	C₂×C₄×C₅₉	—	2	1	no	—
478	C₂×C₄×C₅₉	—	2	1	no	—
479	C₂×C₄×C₅₉	—	2	1	no	—
480	C₂×C₄×C₅₉	—	2	1	no	—
481	C₂×C₄×C₅₉	—	2	1	no	—
482	C₂×C₄×C₅₉	—	2	1	no	—
483	C₂×C₄×C₅₉	—	2	1	no	—
484	C₂×C₄×C₅₉	—	2	2	no	—
485	C₂×C₄×C₅₉	—	2	2	no	—
486	C₂×C₄×C₅₉	—	2	2	no	—
487	C₂×C₄×C₅₉	—	2	1	no	—
488	C₂×C₄×C₅₉	—	2	2	no	—
489	C₂×C₄×C₅₉	—	2	1	no	—
490	C₂×C₄×C₅₉	—	2	2	no	—
491	C₂×C₄×C₅₉	—	2	2	no	—
492	C₂×C₄×C₅₉	—	2	2	no	—
493	C₂×C₄×C₅₉	—	2	1	no	—
494	C₂×C₄×C₅₉	—	2	1	no	—
495	C₂×C₄×C₅₉	—	2	1	no	—
496	C₂×C₄×C₅₉	—	2	2	no	—
497	C₂×C₄×C₅₉	—	2	2	no	—
498	C₂×C₄×C₅₉	—	2	1	no	—
499	C₂×C₄×C₅₉	—	2	1	no	—
500	C₂×C₄×C₅₉	—	2	2	no	—
501	C₂×C₄×C₅₉	—	2	1	no	—
502	C₂×C₄×C₅₉	—	2	1	no	—
503	C₂×C₄×C₅₉	—	2	1	no	—
504	C₂×C₄×C₅₉	—	2	2	no	—
505	C₂×C₄×C₅₉	—	2	2	no	—
506	C₂×C₄×C₅₉	—	4	8	no	—
507	C₂×C₄×C₅₉	—	4	4	no	—
508	C₂×C₄×C₅₉	—	4	4	no	—
509	C₂×C₄×C₅₉	—	8	4	no	—
510	C₂×C₄×C₅₉	—	8	4	no	—
511	C₂×C₄×C₅₉	—	8	4	no	—
512	C₂×C₄×C₅₉	—	8	4	no	—
513	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
514	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
518	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
519	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
520	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
521	#35823	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
522	C₂²×C₅₉	—	2	2	no	—
523	C₂²×C₅₉	—	2	4	no	—
524	C₂²×C₅₉	—	2	4	no	—
525	C₂²×C₅₉	—	2	4	no	—
526	C₂²×C₅₉	—	2	2	no	—
527	C₂²×C₅₉	—	2	2	no	—
528	C₂²×C₅₉	—	2	2	no	—
529	C₂²×C₅₉	—	2	2	no	—
530	C₂²×C₅₉	—	2	4	no	—
531	C₂²×C₅₉	—	2	2	no	—
532	C₂²×C₅₉	—	2	4	no	—
533	C₂²×C₅₉	—	2	4	no	—
534	C₂²×C₅₉	—	4	1	no	—
535	C₂²×C₅₉	—	4	2	no	—
536	C₂²×C₅₉	—	4	1	no	—
537	C₂²×C₅₉	—	4	1	no	—
538	C₂²×C₅₉	—	4	2	no	—
539	C₂²×C₅₉	—	4	2	no	—
540	C₂²×C₅₉	—	4	2	no	—
541	C₂²×C₅₉	—	4	2	no	—
542	C₂²×C₅₉	—	4	1	no	—
543	C₂²×C₅₉	—	4	2	no	—
544	C₂²×C₅₉	—	4	1	no	—
545	C₂²×C₅₉	—	4	2	no	—
546	C₂²×C₅₉	—	4	1	no	—
547	C₂²×C₅₉	—	4	1	no	—
548	C₂²×C₅₉	—	4	2	no	—
549	C₂²×C₅₉	—	4	1	no	—
550	C₂²×C₅₉	—	4	1	no	—
551	C₂²×C₅₉	—	4	1	no	—
552	C₂²×C₅₉	—	4	1	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	—	8	16	no	—
558	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
559	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
560	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
561	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
562	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
563	C₂²×C₅₉	#585	1	1	yes	characteristic
564	C₂²×C₅₉	#585	1	1	yes	characteristic
565	C₄×C₅₉	—	2	2	no	—
566	C₄×C₅₉	—	2	2	no	—
567	C₄×C₅₉	—	2	2	no	—
568	C₄×C₅₉	—	2	2	no	—
569	C₄×C₅₉	—	2	4	no	—
570	C₄×C₅₉	—	4	1	no	—
571	C₄×C₅₉	—	4	1	no	—
572	C₄×C₅₉	—	4	2	no	—
573	C₄×C₅₉	—	4	1	no	—
574	C₄×C₅₉	—	4	2	no	—
575	C₄×C₅₉	—	4	1	no	—
576	C₄×C₅₉	—	4	1	no	—
577	C₄×C₅₉	—	4	1	no	—
578	C₄×C₅₉	—	4	1	no	—
579	C₄×C₅₉	—	4	2	no	—
580	C₄×C₅₉	—	4	2	no	—
581	C₄×C₅₉	—	4	2	no	—
582	C₄×C₅₉	#525	1	4	yes	—
583	C₂×#553	C₂×C₅₉	1	1	yes	characteristic, complemented
584	C₂×#518	C₂×C₅₉	1	1	yes	characteristic, complemented
585	#2630	C₂×C₅₉	1	2	yes	complemented
586	#2629	C₂×C₅₉	1	1	yes	characteristic, complemented
587	#2566	C₂×C₅₉	1	1	yes	characteristic, complemented
588	#2537	C₂×C₅₉	1	1	yes	characteristic, complemented
589	#2534	C₂×C₅₉	1	2	yes	complemented
590	#2480	C₂×C₅₉	1	2	yes	complemented
591	#2468	C₂×C₅₉	1	2	yes	complemented
592	#2464	C₂×C₅₉	1	2	yes	complemented
593	#2424	C₂×C₅₉	1	2	yes	complemented
594	#2422	C₂×C₅₉	1	1	yes	characteristic, complemented
595	#2420	C₂×C₅₉	1	1	yes	characteristic, complemented
596	#2411	C₂×C₅₉	1	2	yes	complemented
597	#2408	C₂×C₅₉	1	1	yes	characteristic, complemented
598	#2408	C₂×C₅₉	1	1	yes	characteristic, complemented
599	#2392	C₂×C₅₉	1	1	yes	characteristic, complemented
600	#2392	C₂×C₅₉	1	2	yes	complemented
601	#2363	C₂×C₅₉	1	1	yes	characteristic, complemented
602	#2361	C₂×C₅₉	1	1	yes	characteristic, complemented
603	#2354	C₂×C₅₉	1	1	yes	characteristic, complemented
604	#2354	C₂×C₅₉	1	1	yes	characteristic, complemented
605	#2352	C₂×C₅₉	1	1	yes	characteristic, complemented
606	C₂×C₅₉	—	4	2	no	—
607	C₂×C₅₉	—	4	4	no	—
608	C₂×C₅₉	—	4	4	no	—
609	C₂×C₅₉	—	4	2	no	—
610	C₂×C₅₉	—	8	1	no	—
611	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
612	C₂×C₅₉	#3488	1	1	yes	characteristic
613	C₂×C₅₉	#3494	1	1	yes	characteristic
614	C₂×C₅₉	#3494	1	1	yes	characteristic
615	C₂×C₅₉	#3496	1	1	yes	characteristic
616	C₂×C₅₉	#3519	1	1	yes	characteristic
617	C₂×C₅₉	#3521	1	1	yes	characteristic
618	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
619	#553	—	2	8	no	—
620	C₂×#126	C₂²×C₅₉	1	2	yes	complemented
621	C₂×#125	C₂²×C₅₉	1	1	yes	characteristic, complemented
622	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
623	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
624	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
625	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
626	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
627	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
628	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
629	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
630	C₂×#120	C₂²×C₅₉	1	2	yes	—
631	C₂×#120	C₂²×C₅₉	1	2	yes	—
632	#518	—	2	8	no	—
633	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
634	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
635	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
636	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
637	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
638	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
639	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
640	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
641	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
642	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
643	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
644	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
645	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
646	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
647	C₂×#117	C₂²×C₅₉	1	2	yes	complemented
648	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
649	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
650	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
651	#398	C₂²×C₅₉	1	2	yes	complemented
652	#398	C₂²×C₅₉	1	2	yes	complemented
653	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
654	#397	C₂²×C₅₉	1	1	yes	characteristic
655	#397	C₂²×C₅₉	1	2	yes	complemented
656	#397	C₂²×C₅₉	1	2	yes	complemented
657	#396	C₂²×C₅₉	1	2	yes	—
658	#396	C₂²×C₅₉	1	2	yes	—
659	#396	C₂²×C₅₉	1	2	yes	complemented
660	#396	C₂²×C₅₉	1	2	yes	complemented
661	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
662	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
663	#394	C₂²×C₅₉	1	2	yes	—
664	#394	C₂²×C₅₉	1	2	yes	—
665	#394	C₂²×C₅₉	1	1	yes	characteristic
666	#394	C₂²×C₅₉	1	1	yes	characteristic
667	#394	C₂²×C₅₉	1	2	yes	complemented
668	#394	C₂²×C₅₉	1	2	yes	complemented
669	#394	C₂²×C₅₉	1	2	yes	complemented
670	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
671	#394	C₂²×C₅₉	1	2	yes	complemented
672	#392	C₂²×C₅₉	1	2	yes	—
673	#392	C₂²×C₅₉	1	2	yes	—
674	#392	C₂²×C₅₉	1	1	yes	characteristic
675	#390	C₂²×C₅₉	1	1	yes	characteristic
676	#390	C₂²×C₅₉	1	1	yes	characteristic
677	#390	C₂²×C₅₉	1	1	yes	characteristic
678	#390	C₂²×C₅₉	1	1	yes	characteristic
679	#390	C₂²×C₅₉	1	2	yes	—
680	#390	C₂²×C₅₉	1	2	yes	complemented
681	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
682	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
683	#388	C₂²×C₅₉	1	2	yes	—
684	#388	C₂²×C₅₉	1	2	yes	—
685	#388	C₂²×C₅₉	1	2	yes	complemented
686	#388	C₂²×C₅₉	1	2	yes	complemented
687	#388	C₂²×C₅₉	1	2	yes	complemented
688	#388	C₂²×C₅₉	1	2	yes	complemented
689	#388	C₂²×C₅₉	1	2	yes	complemented
690	#387	C₂²×C₅₉	1	2	yes	complemented
691	#386	C₂²×C₅₉	1	2	yes	—
692	#386	C₂²×C₅₉	1	2	yes	complemented
693	#386	C₂²×C₅₉	1	2	yes	complemented
694	#386	C₂²×C₅₉	1	2	yes	complemented
695	#385	C₂²×C₅₉	1	2	yes	complemented
696	#385	C₂²×C₅₉	1	2	yes	complemented
697	#385	C₂²×C₅₉	1	2	yes	complemented
698	#385	C₂²×C₅₉	1	2	yes	complemented
699	#384	C₂²×C₅₉	1	1	yes	characteristic, complemented
700	#384	C₂²×C₅₉	1	1	yes	characteristic, complemented
701	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
702	#381	C₂²×C₅₉	1	2	yes	complemented
703	#380	C₂²×C₅₉	1	1	yes	characteristic
704	#380	C₂²×C₅₉	1	1	yes	characteristic
705	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
706	#380	C₂²×C₅₉	1	2	yes	complemented
707	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
708	#380	C₂²×C₅₉	1	2	yes	complemented
709	#379	C₂²×C₅₉	1	2	yes	—
710	#379	C₂²×C₅₉	1	2	yes	—
711	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
712	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
713	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
714	C₄×C₄⋊C₄	C₂²×C₅₉	1	2	yes	complemented
715	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
717	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
718	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
719	C₅₉	#35823	1	1	yes	characteristic, direct product factor, Sylow
720	C₂⁵	C₂³×C₅₉	1	2	yes	—
721	C₂²×D₄	—	2	4	no	—
722	C₂²×D₄	—	2	4	no	—
723	C₂²×D₄	—	2	4	no	—
724	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
725	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
726	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
728	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
729	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
732	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
733	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
734	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
735	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
738	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
739	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
740	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
741	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
742	#126	—	2	8	no	—
743	#125	—	2	4	no	—
744	#123	—	2	8	no	—
745	#123	—	4	4	no	—
746	#121	—	2	4	no	—
747	#121	—	2	4	no	—
748	#121	—	2	4	no	—
749	#121	—	2	4	no	—
750	#121	—	2	8	no	—
751	#121	—	4	4	no	—
752	#120	—	4	4	no	—
753	#120	—	4	4	no	—
754	C₄×D₄	—	2	4	no	—
755	C₄×D₄	—	2	8	no	—
756	C₄×D₄	—	2	8	no	—
757	C₄×D₄	—	2	4	no	—
758	C₄×D₄	—	2	4	no	—
759	C₄×D₄	—	2	4	no	—
760	C₄×D₄	—	2	8	no	—
761	C₄×D₄	—	2	4	no	—
762	C₄×D₄	—	2	4	no	—
763	C₄×D₄	—	4	4	no	—
764	C₄×D₄	D₄×C₅₉	1	8	yes	complemented
765	#117	—	2	4	no	—
766	#117	—	2	4	no	—
767	#117	—	2	4	no	—
768	#117	—	4	4	no	—
769	C₂×C₄⋊C₄	—	2	4	no	—
770	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
772	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
780	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
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	2	yes	—
784	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
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	2	yes	—
791	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	—	2	8	no	—
793	C₂×C₂²⋊C₄	—	2	8	no	—
794	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
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	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
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	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
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	1	yes	characteristic
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×C₄²	C₂³×C₅₉	1	1	yes	characteristic
829	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
830	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
831	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
832	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
833	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
835	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
836	#95	C₂³×C₅₉	1	1	yes	characteristic
837	#95	C₂³×C₅₉	1	2	yes	—
838	#95	C₂³×C₅₉	1	1	yes	characteristic
839	#95	C₂³×C₅₉	1	2	yes	—
840	#95	C₂³×C₅₉	1	1	yes	characteristic
841	#95	C₂³×C₅₉	1	1	yes	characteristic
842	#95	C₂³×C₅₉	1	2	yes	—
843	#95	C₂³×C₅₉	1	2	yes	—
844	#95	C₂³×C₅₉	1	2	yes	—
845	#95	C₂³×C₅₉	1	2	yes	—
846	#95	C₂³×C₅₉	1	2	yes	—
847	#95	C₂³×C₅₉	1	1	yes	characteristic
848	#95	C₂³×C₅₉	1	1	yes	characteristic
849	#95	C₂³×C₅₉	1	2	yes	—
850	#95	C₂³×C₅₉	1	2	yes	—
851	#95	C₂³×C₅₉	1	2	yes	—
852	C₂⁴	—	2	4	no	—
853	C₂⁴	—	2	4	no	—
854	C₂⁴	—	2	4	no	—
855	C₂⁴	—	4	2	no	—
856	C₂⁴	—	4	2	no	—
857	C₂⁴	—	4	2	no	—
858	C₂⁴	—	4	2	no	—
859	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
860	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
861	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
862	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
863	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
864	C₂×D₄	—	2	32	no	—
865	C₂×D₄	—	2	4	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	4	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	4	no	—
873	C₂×D₄	—	2	4	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	4	no	—
876	C₂×D₄	—	2	4	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	4	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	4	2	no	—
885	C₂×D₄	—	4	1	no	—
886	C₂×D₄	—	4	1	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	2	no	—
889	C₂×D₄	—	4	2	no	—
890	C₂×D₄	—	4	2	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	4	2	no	—
893	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
894	C₂×D₄	#41×C₅₉	1	4	yes	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	4	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	4	no	—
905	C₂²×C₄	—	2	4	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	4	2	no	—
909	C₂²×C₄	—	4	2	no	—
910	C₂²×C₄	—	4	2	no	—
911	C₂²×C₄	—	4	2	no	—
912	C₂²×C₄	—	4	2	no	—
913	C₂²×C₄	—	4	2	no	—
914	C₂²×C₄	—	4	2	no	—
915	C₂²×C₄	—	4	2	no	—
916	C₂²×C₄	—	4	2	no	—
917	C₂²×C₄	C₂×D₄×C₅₉	1	8	yes	—
918	C₂²×C₄	#41×C₅₉	1	4	yes	—
919	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
924	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
925	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
926	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
927	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
928	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
930	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
931	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
932	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	4	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	4	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	4	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	4	2	no	—
952	C₄⋊C₄	—	4	2	no	—
953	C₄⋊C₄	—	4	2	no	—
954	C₄⋊C₄	—	4	2	no	—
955	C₄⋊C₄	—	4	2	no	—
956	C₄⋊C₄	—	4	2	no	—
957	C₄⋊C₄	—	4	1	no	—
958	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
959	C₂²⋊C₄	—	2	4	no	—
960	C₂²⋊C₄	—	2	4	no	—
961	C₂²⋊C₄	—	2	4	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	4	no	—
965	C₂²⋊C₄	—	2	4	no	—
966	C₂²⋊C₄	—	2	4	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	4	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	4	no	—
972	C₂²⋊C₄	—	2	4	no	—
973	C₂²⋊C₄	—	2	4	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	4	2	no	—
982	C₂²⋊C₄	—	4	2	no	—
983	C₂²⋊C₄	—	4	2	no	—
984	C₂²⋊C₄	—	4	2	no	—
985	C₂²⋊C₄	—	4	2	no	—
986	C₂²⋊C₄	—	4	2	no	—
987	C₂²⋊C₄	—	4	2	no	—
988	C₂²⋊C₄	—	4	2	no	—
989	C₂²⋊C₄	—	4	1	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	1	no	—
992	C₂²⋊C₄	C₂×D₄×C₅₉	1	8	yes	—
993	C₄²	—	2	4	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	4	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	4	no	—
999	C₄²	—	4	2	no	—
1000	C₄²	C₂×D₄×C₅₉	1	4	yes	—
1001	C₂³	—	2	16	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	8	4	no	—
1034	C₂³	—	8	4	no	—
1035	C₂³	—	8	4	no	—
1036	C₂³	—	8	4	no	—
1037	C₂³	—	8	4	no	—
1038	C₂³	—	8	4	no	—
1039	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
1040	C₂³	C₂×#41×C₅₉	1	2	yes	—
1041	C₂³	C₂×#41×C₅₉	1	4	yes	—
1042	C₂³	H(5,𝔽₂)×C₅₉	1	2	yes	—
1043	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1044	D₄	—	2	16	no	—
1045	D₄	—	2	8	no	—
1046	D₄	—	2	8	no	—
1047	D₄	—	4	4	no	—
1048	D₄	—	4	4	no	—
1049	D₄	—	4	8	no	—
1050	D₄	—	4	8	no	—
1051	D₄	—	4	4	no	—
1052	D₄	—	8	4	no	—
1053	D₄	—	8	4	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	8	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	2	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	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	4	8	no	—
1102	C₂×C₄	—	4	4	no	—
1103	C₂×C₄	—	4	4	no	—
1104	C₂×C₄	—	8	4	no	—
1105	C₂×C₄	—	8	4	no	—
1106	C₂×C₄	—	8	4	no	—
1107	C₂×C₄	—	8	4	no	—
1108	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
1109	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1110	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1112	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1113	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1114	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1115	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	4	no	—
1118	C₂²	—	2	4	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	4	no	—
1121	C₂²	—	2	4	no	—
1122	C₂²	—	2	4	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	4	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	8	16	no	—
1152	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1153	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1154	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1155	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1156	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1157	C₂²	C₅₉×#585	1	1	yes	characteristic
1158	C₂²	C₅₉×#585	1	1	yes	characteristic
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	2	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	—	4	2	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	2	no	—
1176	C₄	C₅₉×#525	1	4	yes	—
1177	C₂	—	4	2	no	—
1178	C₂	—	4	4	no	—
1179	C₂	—	4	4	no	—
1180	C₂	—	4	2	no	—
1181	C₂	—	8	1	no	—
1182	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
1183	C₂	C₅₉×#3488	1	1	yes	characteristic
1184	C₂	C₅₉×#3494	1	1	yes	characteristic
1185	C₂	C₅₉×#3494	1	1	yes	characteristic
1186	C₂	C₅₉×#3496	1	1	yes	characteristic
1187	C₂	C₅₉×#3519	1	1	yes	characteristic
1188	C₂	C₅₉×#3521	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. C₂×C₅₉×#553	C₂	semidirect
2. C₂×C₅₉×#518	C₂	semidirect
3. C₅₉×#2630	C₂	semidirect
4. C₅₉×#2629	C₂	semidirect
5. C₅₉×#2566	C₂	semidirect
6. C₅₉×#2537	C₂	semidirect
7. C₅₉×#2534	C₂	semidirect
8. C₅₉×#2480	C₂	semidirect
9. C₅₉×#2468	C₂	semidirect
10. C₅₉×#2464	C₂	semidirect
11. C₅₉×#2424	C₂	semidirect
12. C₅₉×#2422	C₂	semidirect
13. C₅₉×#2420	C₂	semidirect
14. C₅₉×#2411	C₂	semidirect
15. C₅₉×#2408	C₂	semidirect
16. C₅₉×#2408	C₂	semidirect
17. C₅₉×#2392	C₂	semidirect
18. C₅₉×#2392	C₂	semidirect
19. C₅₉×#2363	C₂	semidirect
20. C₅₉×#2361	C₂	semidirect
21. C₅₉×#2354	C₂	semidirect
22. C₅₉×#2354	C₂	semidirect
23. C₅₉×#2352	C₂	semidirect
26. C₂×#126×C₅₉	C₂²	semidirect
27. C₂×#125×C₅₉	C₂²	semidirect
28. C₂×#123×C₅₉	C₂²	semidirect
29. C₂×#123×C₅₉	C₂²	semidirect
34. C₂×#121×C₅₉	C₂²	semidirect
35. C₂×#121×C₅₉	C₂²	semidirect
47. C₂×C₄×D₄×C₅₉	C₂²	semidirect
48. C₂×C₄×D₄×C₅₉	C₂²	semidirect
49. C₂×C₄×D₄×C₅₉	C₂²	semidirect
52. C₂×#117×C₅₉	C₂²	semidirect
53. C₂×#117×C₅₉	C₂²	semidirect
54. C₂²×C₄⋊C₄×C₅₉	C₂²	semidirect
57. C₅₉×#398	C₂²	semidirect
58. C₅₉×#398	C₂²	semidirect
59. C₅₉×#398	C₂²	semidirect
61. C₅₉×#397	C₂²	semidirect
62. C₅₉×#397	C₂²	semidirect
65. C₅₉×#396	C₂²	semidirect
66. C₅₉×#396	C₂²	semidirect
67. C₅₉×#396	C₂²	semidirect
68. C₅₉×#396	C₂²	semidirect
73. C₅₉×#394	C₂²	semidirect
74. C₅₉×#394	C₂²	semidirect
75. C₅₉×#394	C₂²	semidirect
76. C₅₉×#394	C₂²	semidirect
77. C₅₉×#394	C₂²	semidirect
86. C₅₉×#390	C₂²	semidirect
87. C₅₉×#389	C₂²	semidirect
88. C₅₉×#389	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
98. C₅₉×#386	C₂²	semidirect
99. C₅₉×#386	C₂²	semidirect
100. C₅₉×#386	C₂²	semidirect
101. C₅₉×#385	C₂²	semidirect
102. C₅₉×#385	C₂²	semidirect
103. C₅₉×#385	C₂²	semidirect
104. C₅₉×#385	C₂²	semidirect
105. C₅₉×#384	C₂²	semidirect
106. C₅₉×#384	C₂²	semidirect
107. C₅₉×#382	C₂²	semidirect
108. C₅₉×#381	C₂²	semidirect
111. C₅₉×#380	C₂²	semidirect
112. C₅₉×#380	C₂²	semidirect
113. C₅₉×#380	C₂²	semidirect
114. C₅₉×#380	C₂²	semidirect
117. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
118. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
119. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
120. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
169. C₄×D₄×C₅₉	D₄	semidirect
521. #35823	C₅₉	direct (N × H)
583. C₂×#553	C₂×C₅₉	semidirect
584. C₂×#518	C₂×C₅₉	semidirect
585. #2630	C₂×C₅₉	semidirect
586. #2629	C₂×C₅₉	semidirect
587. #2566	C₂×C₅₉	semidirect
588. #2537	C₂×C₅₉	semidirect
589. #2534	C₂×C₅₉	semidirect
590. #2480	C₂×C₅₉	semidirect
591. #2468	C₂×C₅₉	semidirect
592. #2464	C₂×C₅₉	semidirect
593. #2424	C₂×C₅₉	semidirect
594. #2422	C₂×C₅₉	semidirect
595. #2420	C₂×C₅₉	semidirect
596. #2411	C₂×C₅₉	semidirect
597. #2408	C₂×C₅₉	semidirect
598. #2408	C₂×C₅₉	semidirect
599. #2392	C₂×C₅₉	semidirect
600. #2392	C₂×C₅₉	semidirect
601. #2363	C₂×C₅₉	semidirect
602. #2361	C₂×C₅₉	semidirect
603. #2354	C₂×C₅₉	semidirect
604. #2354	C₂×C₅₉	semidirect
605. #2352	C₂×C₅₉	semidirect
620. C₂×#126	C₂²×C₅₉	semidirect
621. C₂×#125	C₂²×C₅₉	semidirect
622. C₂×#123	C₂²×C₅₉	semidirect
623. C₂×#123	C₂²×C₅₉	semidirect
628. C₂×#121	C₂²×C₅₉	semidirect
629. C₂×#121	C₂²×C₅₉	semidirect
641. C₂×C₄×D₄	C₂²×C₅₉	semidirect
642. C₂×C₄×D₄	C₂²×C₅₉	semidirect
643. C₂×C₄×D₄	C₂²×C₅₉	semidirect
646. C₂×#117	C₂²×C₅₉	semidirect
647. C₂×#117	C₂²×C₅₉	semidirect
648. C₂²×C₄⋊C₄	C₂²×C₅₉	semidirect
651. #398	C₂²×C₅₉	semidirect
652. #398	C₂²×C₅₉	semidirect
653. #398	C₂²×C₅₉	semidirect
655. #397	C₂²×C₅₉	semidirect
656. #397	C₂²×C₅₉	semidirect
659. #396	C₂²×C₅₉	semidirect
660. #396	C₂²×C₅₉	semidirect
661. #396	C₂²×C₅₉	semidirect
662. #396	C₂²×C₅₉	semidirect
667. #394	C₂²×C₅₉	semidirect
668. #394	C₂²×C₅₉	semidirect
669. #394	C₂²×C₅₉	semidirect
670. #394	C₂²×C₅₉	semidirect
671. #394	C₂²×C₅₉	semidirect
680. #390	C₂²×C₅₉	semidirect
681. #389	C₂²×C₅₉	semidirect
682. #389	C₂²×C₅₉	semidirect
685. #388	C₂²×C₅₉	semidirect
686. #388	C₂²×C₅₉	semidirect
687. #388	C₂²×C₅₉	semidirect
688. #388	C₂²×C₅₉	semidirect
689. #388	C₂²×C₅₉	semidirect
690. #387	C₂²×C₅₉	semidirect
692. #386	C₂²×C₅₉	semidirect
693. #386	C₂²×C₅₉	semidirect
694. #386	C₂²×C₅₉	semidirect
695. #385	C₂²×C₅₉	semidirect
696. #385	C₂²×C₅₉	semidirect
697. #385	C₂²×C₅₉	semidirect
698. #385	C₂²×C₅₉	semidirect
699. #384	C₂²×C₅₉	semidirect
700. #384	C₂²×C₅₉	semidirect
701. #382	C₂²×C₅₉	semidirect
702. #381	C₂²×C₅₉	semidirect
705. #380	C₂²×C₅₉	semidirect
706. #380	C₂²×C₅₉	semidirect
707. #380	C₂²×C₅₉	semidirect
708. #380	C₂²×C₅₉	semidirect
711. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
712. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
713. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
714. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
715. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
716. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
717. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
718. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
719. C₅₉	#35823	direct (N × H)
764. C₄×D₄	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×#553	2
C₂×C₅₉×#518	2
C₅₉×#2630	2
C₅₉×#2629	2
C₅₉×#2566	2
C₅₉×#2537	2
C₅₉×#2534	2
C₅₉×#2480	2
C₅₉×#2468	2
C₅₉×#2464	2
C₅₉×#2424	2
C₅₉×#2422	2
C₅₉×#2420	2
C₅₉×#2411	2
C₅₉×#2408	2
C₅₉×#2392	2
C₅₉×#2363	2
C₅₉×#2361	2
C₅₉×#2354	2
C₅₉×#2352	2
#35823	59

Subgroups — C59×#35823 #28447932

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35823 #28447932