Subgroups — C₅₉×#35761 #28447870

Order 15104.

3628 conjugacy classes of subgroups.

The subgroup lattice has 1338 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×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₄²×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅₉×#518	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2620	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2617	C₂	1	2	yes	maximal, complemented
7	C₅₉×#2544	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2537	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2534	C₂	1	2	yes	maximal, complemented
10	C₅₉×#2428	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#2427	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#2425	C₂	1	2	yes	maximal, complemented
13	C₅₉×#2424	C₂	1	2	yes	maximal, complemented
14	C₅₉×#2416	C₂	1	2	yes	maximal, complemented
15	C₅₉×#2415	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#2414	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2412	C₂	1	2	yes	maximal, complemented
18	C₅₉×#2410	C₂	1	2	yes	maximal, complemented
19	C₅₉×#2392	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅₉×#394	C₂	1	2	yes	maximal, complemented
21	D₄×C₄⋊C₄×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#2339	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₂²⋊C₄×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
27	C₂³×D₄×C₅₉	C₂²	1	2	yes	—
28	C₅₉×#546	—	2	8	no	—
29	C₅₉×#546	—	2	8	no	—
30	D₄²×C₅₉	—	2	8	no	—
31	C₂×#127×C₅₉	C₂²	1	1	yes	characteristic
32	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
35	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
36	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₅₉	C₂²	1	2	yes	—
41	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
43	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
45	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
46	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
47	C₂×#120×C₅₉	C₂²	1	2	yes	—
48	C₂×#120×C₅₉	C₂²	1	2	yes	—
49	C₂×#120×C₅₉	C₂²	1	2	yes	complemented
50	C₂×#120×C₅₉	C₂²	1	2	yes	complemented
51	C₅₉×#518	—	2	8	no	—
52	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
58	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	complemented
62	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
63	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
64	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
65	C₂²×C₄⋊C₄×C₅₉	C₂²	1	2	yes	complemented
66	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
67	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
68	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
69	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
70	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
71	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#397	C₂²	1	2	yes	complemented
73	C₅₉×#397	C₂²	1	2	yes	complemented
74	C₅₉×#397	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
76	C₅₉×#396	C₂²	1	2	yes	complemented
77	C₅₉×#396	C₂²	1	2	yes	complemented
78	C₅₉×#396	C₂²	1	1	yes	characteristic, complemented
79	C₅₉×#394	C₂²	1	1	yes	characteristic
80	C₅₉×#394	C₂²	1	2	yes	—
81	C₅₉×#394	C₂²	1	2	yes	complemented
82	C₅₉×#394	C₂²	1	2	yes	complemented
83	C₅₉×#394	C₂²	1	2	yes	complemented
84	C₅₉×#394	C₂²	1	2	yes	complemented
85	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
86	C₅₉×#394	C₂²	1	2	yes	complemented
87	C₅₉×#394	C₂²	1	2	yes	complemented
88	C₅₉×#394	C₂²	1	2	yes	complemented
89	C₅₉×#394	C₂²	1	2	yes	complemented
90	C₅₉×#394	C₂²	1	2	yes	complemented
91	C₅₉×#394	C₂²	1	1	yes	characteristic, complemented
92	C₅₉×#392	C₂²	1	1	yes	characteristic
93	C₅₉×#392	C₂²	1	2	yes	complemented
94	C₅₉×#392	C₂²	1	2	yes	complemented
95	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
96	C₅₉×#391	C₂²	1	1	yes	characteristic, complemented
97	C₅₉×#390	C₂²	1	1	yes	characteristic, complemented
98	C₅₉×#390	C₂²	1	1	yes	characteristic, complemented
99	C₅₉×#390	C₂²	1	2	yes	complemented
100	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
101	C₅₉×#389	C₂²	1	1	yes	characteristic, complemented
102	C₅₉×#389	C₂²	1	2	yes	complemented
103	C₅₉×#388	C₂²	1	2	yes	complemented
104	C₅₉×#388	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×#386	C₂²	1	2	yes	complemented
112	C₅₉×#386	C₂²	1	2	yes	complemented
113	C₅₉×#385	C₂²	1	2	yes	complemented
114	C₅₉×#385	C₂²	1	2	yes	complemented
115	C₅₉×#384	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#381	C₂²	1	2	yes	complemented
117	C₅₉×#380	C₂²	1	2	yes	complemented
118	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
119	C₅₉×#380	C₂²	1	1	yes	characteristic, complemented
120	C₅₉×#380	C₂²	1	2	yes	complemented
121	C₅₉×#380	C₂²	1	2	yes	complemented
122	C₅₉×#379	C₂²	1	2	yes	complemented
123	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
126	C₂×#95×C₅₉	C₂²	1	2	yes	complemented
127	C₂⁵×C₅₉	C₂³	1	2	yes	—
128	C₂⁵×C₅₉	C₂³	1	2	yes	—
129	C₂×#41×C₅₉	—	2	4	no	—
130	C₂×#41×C₅₉	—	2	4	no	—
131	C₂×#41×C₅₉	—	2	4	no	—
132	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₅₉	—	2	4	no	—
134	C₂²×D₄×C₅₉	—	2	4	no	—
135	C₂²×D₄×C₅₉	—	2	8	no	—
136	C₂²×D₄×C₅₉	—	2	4	no	—
137	C₂²×D₄×C₅₉	—	2	4	no	—
138	C₂²×D₄×C₅₉	—	2	4	no	—
139	C₂²×D₄×C₅₉	—	4	4	no	—
140	C₂²×D₄×C₅₉	—	4	4	no	—
141	C₂²×D₄×C₅₉	D₄	1	8	yes	complemented
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	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
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	2	yes	—
150	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
152	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
153	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
154	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
155	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
156	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
158	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
161	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
163	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
164	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
165	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
166	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
167	#127×C₅₉	—	2	4	no	—
168	#124×C₅₉	—	2	4	no	—
169	#124×C₅₉	—	2	4	no	—
170	#123×C₅₉	—	2	8	no	—
171	#123×C₅₉	—	2	8	no	—
172	C₂²⋊Q₈×C₅₉	—	2	4	no	—
173	C₂²⋊Q₈×C₅₉	—	2	4	no	—
174	#121×C₅₉	—	2	4	no	—
175	#121×C₅₉	—	2	8	no	—
176	#121×C₅₉	—	2	4	no	—
177	#121×C₅₉	—	2	8	no	—
178	#121×C₅₉	—	2	4	no	—
179	#121×C₅₉	—	2	8	no	—
180	#121×C₅₉	—	2	4	no	—
181	#121×C₅₉	—	4	4	no	—
182	#121×C₅₉	—	4	4	no	—
183	#120×C₅₉	—	2	8	no	—
184	#120×C₅₉	—	2	8	no	—
185	#120×C₅₉	—	2	8	no	—
186	#120×C₅₉	—	2	8	no	—
187	C₄×D₄×C₅₉	—	2	4	no	—
188	C₄×D₄×C₅₉	—	2	4	no	—
189	C₄×D₄×C₅₉	—	2	4	no	—
190	C₄×D₄×C₅₉	—	2	4	no	—
191	C₄×D₄×C₅₉	—	2	4	no	—
192	C₄×D₄×C₅₉	—	2	8	no	—
193	C₄×D₄×C₅₉	—	2	4	no	—
194	C₄×D₄×C₅₉	—	2	8	no	—
195	C₄×D₄×C₅₉	—	2	4	no	—
196	C₄×D₄×C₅₉	—	2	4	no	—
197	C₄×D₄×C₅₉	D₄	1	8	yes	complemented
198	#117×C₅₉	—	2	4	no	—
199	#117×C₅₉	—	2	4	no	—
200	C₂×C₄⋊C₄×C₅₉	—	4	4	no	—
201	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
207	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
208	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
210	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
215	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
216	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
219	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
220	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
221	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
222	C₂×C₂²⋊C₄×C₅₉	—	4	4	no	—
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	1	yes	characteristic
237	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
246	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
248	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
253	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
254	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
255	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
256	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
258	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
259	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
260	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
261	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
262	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
263	#95×C₅₉	C₂³	1	1	yes	characteristic
264	#95×C₅₉	C₂³	1	2	yes	—
265	#95×C₅₉	C₂³	1	2	yes	—
266	#95×C₅₉	C₂³	1	2	yes	—
267	#95×C₅₉	C₂³	1	1	yes	characteristic
268	#95×C₅₉	C₂³	1	1	yes	characteristic
269	#95×C₅₉	C₂³	1	1	yes	characteristic
270	#95×C₅₉	C₂³	1	1	yes	characteristic
271	#95×C₅₉	C₂³	1	1	yes	characteristic
272	#95×C₅₉	C₂³	1	2	yes	—
273	#95×C₅₉	C₂³	1	2	yes	—
274	#95×C₅₉	C₂³	1	2	yes	—
275	#95×C₅₉	C₂³	1	2	yes	—
276	#95×C₅₉	C₂³	1	2	yes	—
277	C₂⁴×C₅₉	—	2	4	no	—
278	C₂⁴×C₅₉	—	2	4	no	—
279	C₂⁴×C₅₉	—	2	4	no	—
280	C₂⁴×C₅₉	—	2	4	no	—
281	C₂⁴×C₅₉	—	2	4	no	—
282	C₂⁴×C₅₉	—	2	4	no	—
283	C₂⁴×C₅₉	—	4	2	no	—
284	C₂⁴×C₅₉	—	4	2	no	—
285	C₂⁴×C₅₉	—	4	2	no	—
286	C₂⁴×C₅₉	—	4	2	no	—
287	C₂⁴×C₅₉	—	4	2	no	—
288	C₂⁴×C₅₉	—	4	2	no	—
289	C₂⁴×C₅₉	—	4	2	no	—
290	C₂⁴×C₅₉	C₂×D₄	1	8	yes	—
291	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
292	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
293	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
294	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
295	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
296	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
297	#41×C₅₉	—	4	16	no	—
298	C₂×Q₈×C₅₉	—	2	2	no	—
299	C₂×Q₈×C₅₉	—	2	2	no	—
300	C₂×Q₈×C₅₉	—	2	2	no	—
301	C₂×D₄×C₅₉	—	2	4	no	—
302	C₂×D₄×C₅₉	—	2	2	no	—
303	C₂×D₄×C₅₉	—	2	4	no	—
304	C₂×D₄×C₅₉	—	2	2	no	—
305	C₂×D₄×C₅₉	—	2	32	no	—
306	C₂×D₄×C₅₉	—	2	2	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	4	no	—
316	C₂×D₄×C₅₉	—	2	2	no	—
317	C₂×D₄×C₅₉	—	2	4	no	—
318	C₂×D₄×C₅₉	—	2	4	no	—
319	C₂×D₄×C₅₉	—	2	4	no	—
320	C₂×D₄×C₅₉	—	2	2	no	—
321	C₂×D₄×C₅₉	—	2	2	no	—
322	C₂×D₄×C₅₉	—	2	2	no	—
323	C₂×D₄×C₅₉	—	2	2	no	—
324	C₂×D₄×C₅₉	—	2	4	no	—
325	C₂×D₄×C₅₉	—	2	2	no	—
326	C₂×D₄×C₅₉	—	2	2	no	—
327	C₂×D₄×C₅₉	—	2	2	no	—
328	C₂×D₄×C₅₉	—	2	4	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	1	no	—
334	C₂×D₄×C₅₉	—	4	1	no	—
335	C₂×D₄×C₅₉	—	4	1	no	—
336	C₂×D₄×C₅₉	—	4	2	no	—
337	C₂×D₄×C₅₉	—	4	2	no	—
338	C₂×D₄×C₅₉	—	4	2	no	—
339	C₂×D₄×C₅₉	—	4	2	no	—
340	C₂×D₄×C₅₉	—	4	2	no	—
341	C₂×D₄×C₅₉	—	4	2	no	—
342	C₂×D₄×C₅₉	—	4	32	no	—
343	C₂×D₄×C₅₉	—	4	16	no	—
344	C₂×D₄×C₅₉	C₂×D₄	1	8	yes	—
345	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
346	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
347	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
348	C₂×D₄×C₅₉	#41	1	4	yes	—
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	—	2	4	no	—
353	C₂²×C₄×C₅₉	—	2	4	no	—
354	C₂²×C₄×C₅₉	—	2	4	no	—
355	C₂²×C₄×C₅₉	—	2	4	no	—
356	C₂²×C₄×C₅₉	—	2	4	no	—
357	C₂²×C₄×C₅₉	—	2	2	no	—
358	C₂²×C₄×C₅₉	—	2	2	no	—
359	C₂²×C₄×C₅₉	—	2	2	no	—
360	C₂²×C₄×C₅₉	—	2	2	no	—
361	C₂²×C₄×C₅₉	—	2	2	no	—
362	C₂²×C₄×C₅₉	—	2	2	no	—
363	C₂²×C₄×C₅₉	—	2	4	no	—
364	C₂²×C₄×C₅₉	—	2	4	no	—
365	C₂²×C₄×C₅₉	—	2	4	no	—
366	C₂²×C₄×C₅₉	—	4	2	no	—
367	C₂²×C₄×C₅₉	—	4	2	no	—
368	C₂²×C₄×C₅₉	—	4	2	no	—
369	C₂²×C₄×C₅₉	—	4	2	no	—
370	C₂²×C₄×C₅₉	—	4	2	no	—
371	C₂²×C₄×C₅₉	—	4	2	no	—
372	C₂²×C₄×C₅₉	—	4	2	no	—
373	C₂²×C₄×C₅₉	—	4	2	no	—
374	C₂²×C₄×C₅₉	—	4	2	no	—
375	C₂²×C₄×C₅₉	—	4	2	no	—
376	C₂²×C₄×C₅₉	—	4	2	no	—
377	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
378	C₂²×C₄×C₅₉	C₂×D₄	1	8	yes	complemented
379	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
386	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₅₉	—	2	2	no	—
397	C₄⋊C₄×C₅₉	—	2	2	no	—
398	C₄⋊C₄×C₅₉	—	2	2	no	—
399	C₄⋊C₄×C₅₉	—	2	2	no	—
400	C₄⋊C₄×C₅₉	—	2	2	no	—
401	C₄⋊C₄×C₅₉	—	2	2	no	—
402	C₄⋊C₄×C₅₉	—	2	2	no	—
403	C₄⋊C₄×C₅₉	—	2	2	no	—
404	C₄⋊C₄×C₅₉	—	2	4	no	—
405	C₄⋊C₄×C₅₉	—	2	4	no	—
406	C₄⋊C₄×C₅₉	—	2	2	no	—
407	C₄⋊C₄×C₅₉	—	2	4	no	—
408	C₄⋊C₄×C₅₉	—	4	2	no	—
409	C₄⋊C₄×C₅₉	—	4	2	no	—
410	C₄⋊C₄×C₅₉	—	4	1	no	—
411	C₄⋊C₄×C₅₉	—	4	2	no	—
412	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	complemented
413	C₂²⋊C₄×C₅₉	—	2	2	no	—
414	C₂²⋊C₄×C₅₉	—	2	4	no	—
415	C₂²⋊C₄×C₅₉	—	2	4	no	—
416	C₂²⋊C₄×C₅₉	—	2	4	no	—
417	C₂²⋊C₄×C₅₉	—	2	4	no	—
418	C₂²⋊C₄×C₅₉	—	2	2	no	—
419	C₂²⋊C₄×C₅₉	—	2	4	no	—
420	C₂²⋊C₄×C₅₉	—	2	4	no	—
421	C₂²⋊C₄×C₅₉	—	2	4	no	—
422	C₂²⋊C₄×C₅₉	—	2	4	no	—
423	C₂²⋊C₄×C₅₉	—	2	2	no	—
424	C₂²⋊C₄×C₅₉	—	2	4	no	—
425	C₂²⋊C₄×C₅₉	—	2	4	no	—
426	C₂²⋊C₄×C₅₉	—	2	2	no	—
427	C₂²⋊C₄×C₅₉	—	2	2	no	—
428	C₂²⋊C₄×C₅₉	—	2	2	no	—
429	C₂²⋊C₄×C₅₉	—	2	4	no	—
430	C₂²⋊C₄×C₅₉	—	2	4	no	—
431	C₂²⋊C₄×C₅₉	—	2	4	no	—
432	C₂²⋊C₄×C₅₉	—	2	4	no	—
433	C₂²⋊C₄×C₅₉	—	2	4	no	—
434	C₂²⋊C₄×C₅₉	—	2	2	no	—
435	C₂²⋊C₄×C₅₉	—	2	2	no	—
436	C₂²⋊C₄×C₅₉	—	2	2	no	—
437	C₂²⋊C₄×C₅₉	—	2	4	no	—
438	C₂²⋊C₄×C₅₉	—	2	4	no	—
439	C₂²⋊C₄×C₅₉	—	2	2	no	—
440	C₂²⋊C₄×C₅₉	—	4	2	no	—
441	C₂²⋊C₄×C₅₉	—	4	2	no	—
442	C₂²⋊C₄×C₅₉	—	4	2	no	—
443	C₂²⋊C₄×C₅₉	—	4	1	no	—
444	C₂²⋊C₄×C₅₉	—	4	1	no	—
445	C₂²⋊C₄×C₅₉	—	4	2	no	—
446	C₂²⋊C₄×C₅₉	—	4	2	no	—
447	C₂²⋊C₄×C₅₉	C₂×D₄	1	8	yes	complemented
448	C₄²×C₅₉	—	2	4	no	—
449	C₄²×C₅₉	—	2	2	no	—
450	C₄²×C₅₉	—	2	2	no	—
451	C₄²×C₅₉	—	2	2	no	—
452	C₄²×C₅₉	C₂×D₄	1	4	yes	complemented
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	1	no	—
458	C₂³×C₅₉	—	2	1	no	—
459	C₂³×C₅₉	—	2	2	no	—
460	C₂³×C₅₉	—	2	1	no	—
461	C₂³×C₅₉	—	2	1	no	—
462	C₂³×C₅₉	—	2	1	no	—
463	C₂³×C₅₉	—	2	2	no	—
464	C₂³×C₅₉	—	2	2	no	—
465	C₂³×C₅₉	—	2	2	no	—
466	C₂³×C₅₉	—	2	1	no	—
467	C₂³×C₅₉	—	2	1	no	—
468	C₂³×C₅₉	—	2	1	no	—
469	C₂³×C₅₉	—	2	1	no	—
470	C₂³×C₅₉	—	2	2	no	—
471	C₂³×C₅₉	—	2	2	no	—
472	C₂³×C₅₉	—	2	1	no	—
473	C₂³×C₅₉	—	2	1	no	—
474	C₂³×C₅₉	—	2	1	no	—
475	C₂³×C₅₉	—	2	16	no	—
476	C₂³×C₅₉	—	2	2	no	—
477	C₂³×C₅₉	—	2	1	no	—
478	C₂³×C₅₉	—	2	1	no	—
479	C₂³×C₅₉	—	2	2	no	—
480	C₂³×C₅₉	—	2	1	no	—
481	C₂³×C₅₉	—	2	2	no	—
482	C₂³×C₅₉	—	2	1	no	—
483	C₂³×C₅₉	—	2	1	no	—
484	C₂³×C₅₉	—	2	2	no	—
485	C₂³×C₅₉	—	2	2	no	—
486	C₂³×C₅₉	—	2	1	no	—
487	C₂³×C₅₉	—	2	2	no	—
488	C₂³×C₅₉	—	2	1	no	—
489	C₂³×C₅₉	—	2	2	no	—
490	C₂³×C₅₉	—	4	8	no	—
491	C₂³×C₅₉	—	4	8	no	—
492	C₂³×C₅₉	—	4	8	no	—
493	C₂³×C₅₉	—	4	8	no	—
494	C₂³×C₅₉	—	4	8	no	—
495	C₂³×C₅₉	—	4	8	no	—
496	C₂³×C₅₉	—	8	4	no	—
497	C₂³×C₅₉	—	8	4	no	—
498	C₂³×C₅₉	—	8	4	no	—
499	C₂³×C₅₉	—	8	4	no	—
500	C₂³×C₅₉	—	8	4	no	—
501	C₂³×C₅₉	—	8	4	no	—
502	C₂³×C₅₉	—	8	4	no	—
503	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
504	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
505	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
506	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
507	C₂³×C₅₉	C₂×#41	1	4	yes	—
508	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
509	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
510	Q₈×C₅₉	—	4	4	no	—
511	D₄×C₅₉	—	2	8	no	—
512	D₄×C₅₉	—	2	16	no	—
513	D₄×C₅₉	—	2	8	no	—
514	D₄×C₅₉	—	4	4	no	—
515	D₄×C₅₉	—	4	8	no	—
516	D₄×C₅₉	—	4	8	no	—
517	D₄×C₅₉	—	4	4	no	—
518	D₄×C₅₉	—	4	8	no	—
519	D₄×C₅₉	—	4	8	no	—
520	D₄×C₅₉	—	4	8	no	—
521	D₄×C₅₉	—	4	4	no	—
522	D₄×C₅₉	—	8	4	no	—
523	D₄×C₅₉	—	8	4	no	—
524	D₄×C₅₉	—	8	4	no	—
525	D₄×C₅₉	#121	1	16	yes	complemented
526	C₂×C₄×C₅₉	—	2	1	no	—
527	C₂×C₄×C₅₉	—	2	1	no	—
528	C₂×C₄×C₅₉	—	2	1	no	—
529	C₂×C₄×C₅₉	—	2	1	no	—
530	C₂×C₄×C₅₉	—	2	2	no	—
531	C₂×C₄×C₅₉	—	2	1	no	—
532	C₂×C₄×C₅₉	—	2	1	no	—
533	C₂×C₄×C₅₉	—	2	1	no	—
534	C₂×C₄×C₅₉	—	2	1	no	—
535	C₂×C₄×C₅₉	—	2	2	no	—
536	C₂×C₄×C₅₉	—	2	8	no	—
537	C₂×C₄×C₅₉	—	2	1	no	—
538	C₂×C₄×C₅₉	—	2	1	no	—
539	C₂×C₄×C₅₉	—	2	1	no	—
540	C₂×C₄×C₅₉	—	2	2	no	—
541	C₂×C₄×C₅₉	—	2	1	no	—
542	C₂×C₄×C₅₉	—	2	1	no	—
543	C₂×C₄×C₅₉	—	2	2	no	—
544	C₂×C₄×C₅₉	—	2	1	no	—
545	C₂×C₄×C₅₉	—	2	1	no	—
546	C₂×C₄×C₅₉	—	2	1	no	—
547	C₂×C₄×C₅₉	—	2	2	no	—
548	C₂×C₄×C₅₉	—	2	2	no	—
549	C₂×C₄×C₅₉	—	2	2	no	—
550	C₂×C₄×C₅₉	—	2	1	no	—
551	C₂×C₄×C₅₉	—	2	1	no	—
552	C₂×C₄×C₅₉	—	2	1	no	—
553	C₂×C₄×C₅₉	—	2	2	no	—
554	C₂×C₄×C₅₉	—	2	1	no	—
555	C₂×C₄×C₅₉	—	2	1	no	—
556	C₂×C₄×C₅₉	—	2	2	no	—
557	C₂×C₄×C₅₉	—	2	1	no	—
558	C₂×C₄×C₅₉	—	2	2	no	—
559	C₂×C₄×C₅₉	—	2	2	no	—
560	C₂×C₄×C₅₉	—	2	2	no	—
561	C₂×C₄×C₅₉	—	2	1	no	—
562	C₂×C₄×C₅₉	—	2	2	no	—
563	C₂×C₄×C₅₉	—	2	1	no	—
564	C₂×C₄×C₅₉	—	2	1	no	—
565	C₂×C₄×C₅₉	—	2	2	no	—
566	C₂×C₄×C₅₉	—	2	1	no	—
567	C₂×C₄×C₅₉	—	2	1	no	—
568	C₂×C₄×C₅₉	—	2	1	no	—
569	C₂×C₄×C₅₉	—	2	1	no	—
570	C₂×C₄×C₅₉	—	4	8	no	—
571	C₂×C₄×C₅₉	—	4	8	no	—
572	C₂×C₄×C₅₉	—	4	8	no	—
573	C₂×C₄×C₅₉	—	4	4	no	—
574	C₂×C₄×C₅₉	—	4	4	no	—
575	C₂×C₄×C₅₉	—	8	4	no	—
576	C₂×C₄×C₅₉	—	8	4	no	—
577	C₂×C₄×C₅₉	—	8	4	no	—
578	C₂×C₄×C₅₉	—	8	4	no	—
579	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
580	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
581	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
582	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
583	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
584	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
585	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
586	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
587	#35761	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
588	C₂²×C₅₉	—	2	4	no	—
589	C₂²×C₅₉	—	2	4	no	—
590	C₂²×C₅₉	—	2	4	no	—
591	C₂²×C₅₉	—	2	4	no	—
592	C₂²×C₅₉	—	2	4	no	—
593	C₂²×C₅₉	—	2	4	no	—
594	C₂²×C₅₉	—	2	2	no	—
595	C₂²×C₅₉	—	2	4	no	—
596	C₂²×C₅₉	—	2	2	no	—
597	C₂²×C₅₉	—	2	2	no	—
598	C₂²×C₅₉	—	2	4	no	—
599	C₂²×C₅₉	—	2	2	no	—
600	C₂²×C₅₉	—	2	4	no	—
601	C₂²×C₅₉	—	2	2	no	—
602	C₂²×C₅₉	—	2	2	no	—
603	C₂²×C₅₉	—	4	1	no	—
604	C₂²×C₅₉	—	4	1	no	—
605	C₂²×C₅₉	—	4	2	no	—
606	C₂²×C₅₉	—	4	1	no	—
607	C₂²×C₅₉	—	4	2	no	—
608	C₂²×C₅₉	—	4	1	no	—
609	C₂²×C₅₉	—	4	1	no	—
610	C₂²×C₅₉	—	4	2	no	—
611	C₂²×C₅₉	—	4	1	no	—
612	C₂²×C₅₉	—	4	2	no	—
613	C₂²×C₅₉	—	4	1	no	—
614	C₂²×C₅₉	—	4	1	no	—
615	C₂²×C₅₉	—	4	1	no	—
616	C₂²×C₅₉	—	4	2	no	—
617	C₂²×C₅₉	—	4	2	no	—
618	C₂²×C₅₉	—	4	1	no	—
619	C₂²×C₅₉	—	4	1	no	—
620	C₂²×C₅₉	—	4	2	no	—
621	C₂²×C₅₉	—	4	1	no	—
622	C₂²×C₅₉	—	4	2	no	—
623	C₂²×C₅₉	—	4	1	no	—
624	C₂²×C₅₉	—	4	2	no	—
625	C₂²×C₅₉	—	4	1	no	—
626	C₂²×C₅₉	—	4	2	no	—
627	C₂²×C₅₉	—	4	1	no	—
628	C₂²×C₅₉	—	4	2	no	—
629	C₂²×C₅₉	—	8	16	no	—
630	C₂²×C₅₉	—	8	16	no	—
631	C₂²×C₅₉	C₂×#121	1	8	yes	—
632	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
633	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
634	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
635	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
636	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
637	C₂²×C₅₉	#585	1	1	yes	characteristic
638	C₂²×C₅₉	#585	1	1	yes	characteristic
639	C₄×C₅₉	—	2	2	no	—
640	C₄×C₅₉	—	2	2	no	—
641	C₄×C₅₉	—	2	2	no	—
642	C₄×C₅₉	—	2	2	no	—
643	C₄×C₅₉	—	2	4	no	—
644	C₄×C₅₉	—	4	1	no	—
645	C₄×C₅₉	—	4	1	no	—
646	C₄×C₅₉	—	4	2	no	—
647	C₄×C₅₉	—	4	2	no	—
648	C₄×C₅₉	—	4	1	no	—
649	C₄×C₅₉	—	4	2	no	—
650	C₄×C₅₉	—	4	1	no	—
651	C₄×C₅₉	—	4	1	no	—
652	C₄×C₅₉	—	4	2	no	—
653	C₄×C₅₉	—	4	1	no	—
654	C₄×C₅₉	—	4	1	no	—
655	C₄×C₅₉	C₂×#121	1	4	yes	—
656	C₂×#546	C₂×C₅₉	1	1	yes	characteristic, complemented
657	C₂×#546	C₂×C₅₉	1	1	yes	characteristic, complemented
658	C₂×D₄²	C₂×C₅₉	1	1	yes	characteristic, complemented
659	C₂×#518	C₂×C₅₉	1	1	yes	characteristic, complemented
660	#2620	C₂×C₅₉	1	1	yes	characteristic, complemented
661	#2617	C₂×C₅₉	1	2	yes	complemented
662	#2544	C₂×C₅₉	1	1	yes	characteristic, complemented
663	#2537	C₂×C₅₉	1	1	yes	characteristic, complemented
664	#2534	C₂×C₅₉	1	2	yes	complemented
665	#2428	C₂×C₅₉	1	1	yes	characteristic, complemented
666	#2427	C₂×C₅₉	1	1	yes	characteristic, complemented
667	#2425	C₂×C₅₉	1	2	yes	complemented
668	#2424	C₂×C₅₉	1	2	yes	complemented
669	#2416	C₂×C₅₉	1	2	yes	complemented
670	#2415	C₂×C₅₉	1	1	yes	characteristic, complemented
671	#2414	C₂×C₅₉	1	1	yes	characteristic, complemented
672	#2412	C₂×C₅₉	1	2	yes	complemented
673	#2410	C₂×C₅₉	1	2	yes	complemented
674	#2392	C₂×C₅₉	1	1	yes	characteristic, complemented
675	C₂×#394	C₂×C₅₉	1	2	yes	complemented
676	D₄×C₄⋊C₄	C₂×C₅₉	1	1	yes	characteristic, complemented
677	#2339	C₂×C₅₉	1	1	yes	characteristic, complemented
678	D₄×C₂²⋊C₄	C₂×C₅₉	1	1	yes	characteristic, complemented
679	C₂×C₅₉	—	2	8	no	—
680	C₂×C₅₉	—	4	4	no	—
681	C₂×C₅₉	—	4	2	no	—
682	C₂×C₅₉	—	4	2	no	—
683	C₂×C₅₉	—	8	1	no	—
684	C₂×C₅₉	—	8	2	no	—
685	C₂×C₅₉	C₂²×#121	1	1	yes	characteristic
686	C₂×C₅₉	#3484	1	1	yes	characteristic
687	C₂×C₅₉	#3485	1	1	yes	characteristic
688	C₂×C₅₉	#3488	1	1	yes	characteristic
689	C₂×C₅₉	#3496	1	1	yes	characteristic
690	C₂×C₅₉	#3513	1	1	yes	characteristic
691	C₂×C₅₉	#3514	1	1	yes	characteristic
692	C₂²×#41	C₂²×C₅₉	1	1	yes	characteristic
693	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
694	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
695	C₂³×D₄	C₂²×C₅₉	1	2	yes	—
696	#546	—	2	8	no	—
697	#546	—	2	8	no	—
698	D₄²	—	2	8	no	—
699	C₂×#127	C₂²×C₅₉	1	1	yes	characteristic
700	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic, complemented
701	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic, complemented
702	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
703	C₂×#123	C₂²×C₅₉	1	2	yes	complemented
704	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
705	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
706	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
707	C₂×#121	C₂²×C₅₉	1	2	yes	—
708	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
709	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
710	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic, complemented
711	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
712	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic, complemented
713	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
714	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
715	C₂×#120	C₂²×C₅₉	1	2	yes	—
716	C₂×#120	C₂²×C₅₉	1	2	yes	—
717	C₂×#120	C₂²×C₅₉	1	2	yes	complemented
718	C₂×#120	C₂²×C₅₉	1	2	yes	complemented
719	#518	—	2	8	no	—
720	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
721	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
722	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
723	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
724	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
725	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
726	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
727	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
728	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	complemented
729	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
730	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
731	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
732	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic, complemented
733	C₂²×C₄⋊C₄	C₂²×C₅₉	1	2	yes	complemented
734	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
735	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
736	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
737	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
738	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
739	#398	C₂²×C₅₉	1	1	yes	characteristic, complemented
740	#397	C₂²×C₅₉	1	2	yes	complemented
741	#397	C₂²×C₅₉	1	2	yes	complemented
742	#397	C₂²×C₅₉	1	1	yes	characteristic, complemented
743	#396	C₂²×C₅₉	1	2	yes	complemented
744	#396	C₂²×C₅₉	1	2	yes	complemented
745	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
746	#396	C₂²×C₅₉	1	1	yes	characteristic, complemented
747	#394	C₂²×C₅₉	1	1	yes	characteristic
748	#394	C₂²×C₅₉	1	2	yes	—
749	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
750	#394	C₂²×C₅₉	1	2	yes	complemented
751	#394	C₂²×C₅₉	1	2	yes	complemented
752	#394	C₂²×C₅₉	1	2	yes	complemented
753	#394	C₂²×C₅₉	1	2	yes	complemented
754	#394	C₂²×C₅₉	1	2	yes	complemented
755	#394	C₂²×C₅₉	1	2	yes	complemented
756	#394	C₂²×C₅₉	1	2	yes	complemented
757	#394	C₂²×C₅₉	1	2	yes	complemented
758	#394	C₂²×C₅₉	1	2	yes	complemented
759	#394	C₂²×C₅₉	1	1	yes	characteristic, complemented
760	#392	C₂²×C₅₉	1	1	yes	characteristic
761	#392	C₂²×C₅₉	1	2	yes	complemented
762	#392	C₂²×C₅₉	1	2	yes	complemented
763	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
764	#391	C₂²×C₅₉	1	1	yes	characteristic, complemented
765	#390	C₂²×C₅₉	1	1	yes	characteristic, complemented
766	#390	C₂²×C₅₉	1	1	yes	characteristic, complemented
767	#390	C₂²×C₅₉	1	2	yes	complemented
768	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
769	#389	C₂²×C₅₉	1	1	yes	characteristic, complemented
770	#389	C₂²×C₅₉	1	2	yes	complemented
771	#388	C₂²×C₅₉	1	2	yes	complemented
772	#388	C₂²×C₅₉	1	2	yes	complemented
773	#386	C₂²×C₅₉	1	2	yes	complemented
774	#386	C₂²×C₅₉	1	2	yes	complemented
775	#386	C₂²×C₅₉	1	2	yes	complemented
776	#386	C₂²×C₅₉	1	2	yes	complemented
777	#386	C₂²×C₅₉	1	2	yes	complemented
778	#386	C₂²×C₅₉	1	2	yes	complemented
779	#386	C₂²×C₅₉	1	2	yes	complemented
780	#386	C₂²×C₅₉	1	2	yes	complemented
781	#385	C₂²×C₅₉	1	2	yes	complemented
782	#385	C₂²×C₅₉	1	2	yes	complemented
783	#384	C₂²×C₅₉	1	1	yes	characteristic, complemented
784	#381	C₂²×C₅₉	1	2	yes	complemented
785	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
786	#380	C₂²×C₅₉	1	1	yes	characteristic, complemented
787	#380	C₂²×C₅₉	1	2	yes	complemented
788	#380	C₂²×C₅₉	1	2	yes	complemented
789	#380	C₂²×C₅₉	1	2	yes	complemented
790	#379	C₂²×C₅₉	1	2	yes	complemented
791	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
792	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
793	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
794	C₂×#95	C₂²×C₅₉	1	2	yes	complemented
795	C₅₉	#35761	1	1	yes	characteristic, direct product factor, Sylow
796	C₂⁵	C₂³×C₅₉	1	2	yes	—
797	C₂⁵	C₂³×C₅₉	1	2	yes	—
798	C₂×#41	—	2	4	no	—
799	C₂×#41	—	2	4	no	—
800	C₂×#41	—	2	4	no	—
801	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
802	C₂²×D₄	—	2	4	no	—
803	C₂²×D₄	—	2	4	no	—
804	C₂²×D₄	—	2	8	no	—
805	C₂²×D₄	—	2	4	no	—
806	C₂²×D₄	—	2	4	no	—
807	C₂²×D₄	—	2	4	no	—
808	C₂²×D₄	—	4	4	no	—
809	C₂²×D₄	—	4	4	no	—
810	C₂²×D₄	D₄×C₅₉	1	8	yes	complemented
811	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
812	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
813	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
814	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
815	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
816	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
817	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
818	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
819	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
820	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
821	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
822	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
823	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
824	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
825	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
826	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
827	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
828	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
829	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
830	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
832	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
833	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
834	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
835	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
836	#127	—	2	4	no	—
837	#124	—	2	4	no	—
838	#124	—	2	4	no	—
839	#123	—	2	8	no	—
840	#123	—	2	8	no	—
841	C₂²⋊Q₈	—	2	4	no	—
842	C₂²⋊Q₈	—	2	4	no	—
843	#121	—	2	4	no	—
844	#121	—	2	8	no	—
845	#121	—	2	4	no	—
846	#121	—	2	8	no	—
847	#121	—	2	4	no	—
848	#121	—	2	8	no	—
849	#121	—	2	4	no	—
850	#121	—	4	4	no	—
851	#121	—	4	4	no	—
852	#120	—	2	8	no	—
853	#120	—	2	8	no	—
854	#120	—	2	8	no	—
855	#120	—	2	8	no	—
856	C₄×D₄	—	2	4	no	—
857	C₄×D₄	—	2	4	no	—
858	C₄×D₄	—	2	4	no	—
859	C₄×D₄	—	2	4	no	—
860	C₄×D₄	—	2	4	no	—
861	C₄×D₄	—	2	8	no	—
862	C₄×D₄	—	2	4	no	—
863	C₄×D₄	—	2	8	no	—
864	C₄×D₄	—	2	4	no	—
865	C₄×D₄	—	2	4	no	—
866	C₄×D₄	D₄×C₅₉	1	8	yes	complemented
867	#117	—	2	4	no	—
868	#117	—	2	4	no	—
869	C₂×C₄⋊C₄	—	4	4	no	—
870	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
872	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
881	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
882	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
883	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
884	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
885	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	—	2	8	no	—
888	C₂×C₂²⋊C₄	—	2	8	no	—
889	C₂×C₂²⋊C₄	—	2	8	no	—
890	C₂×C₂²⋊C₄	—	2	8	no	—
891	C₂×C₂²⋊C₄	—	4	4	no	—
892	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
899	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
904	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
905	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
907	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
908	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
909	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
912	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
915	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
916	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
918	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
920	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
927	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
929	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
932	#95	C₂³×C₅₉	1	1	yes	characteristic
933	#95	C₂³×C₅₉	1	2	yes	—
934	#95	C₂³×C₅₉	1	2	yes	—
935	#95	C₂³×C₅₉	1	2	yes	—
936	#95	C₂³×C₅₉	1	1	yes	characteristic
937	#95	C₂³×C₅₉	1	1	yes	characteristic
938	#95	C₂³×C₅₉	1	1	yes	characteristic
939	#95	C₂³×C₅₉	1	1	yes	characteristic
940	#95	C₂³×C₅₉	1	1	yes	characteristic
941	#95	C₂³×C₅₉	1	2	yes	—
942	#95	C₂³×C₅₉	1	2	yes	—
943	#95	C₂³×C₅₉	1	2	yes	—
944	#95	C₂³×C₅₉	1	2	yes	—
945	#95	C₂³×C₅₉	1	2	yes	—
946	C₂⁴	—	2	4	no	—
947	C₂⁴	—	2	4	no	—
948	C₂⁴	—	2	4	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	2	4	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	2	no	—
954	C₂⁴	—	4	2	no	—
955	C₂⁴	—	4	2	no	—
956	C₂⁴	—	4	2	no	—
957	C₂⁴	—	4	2	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	C₂×D₄×C₅₉	1	8	yes	—
960	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
961	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
962	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
963	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
964	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
965	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
966	#41	—	4	16	no	—
967	C₂×Q₈	—	2	2	no	—
968	C₂×Q₈	—	2	2	no	—
969	C₂×Q₈	—	2	2	no	—
970	C₂×D₄	—	2	4	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	4	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	32	no	—
975	C₂×D₄	—	2	2	no	—
976	C₂×D₄	—	2	4	no	—
977	C₂×D₄	—	2	4	no	—
978	C₂×D₄	—	2	4	no	—
979	C₂×D₄	—	2	4	no	—
980	C₂×D₄	—	2	4	no	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	2	no	—
986	C₂×D₄	—	2	4	no	—
987	C₂×D₄	—	2	4	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	2	2	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	4	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	2	4	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	2	no	—
1000	C₂×D₄	—	4	2	no	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	4	1	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂×D₄	—	4	1	no	—
1005	C₂×D₄	—	4	2	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	4	2	no	—
1008	C₂×D₄	—	4	2	no	—
1009	C₂×D₄	—	4	2	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	32	no	—
1012	C₂×D₄	—	4	16	no	—
1013	C₂×D₄	C₂×D₄×C₅₉	1	8	yes	—
1014	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
1015	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
1016	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
1017	C₂×D₄	#41×C₅₉	1	4	yes	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	4	no	—
1022	C₂²×C₄	—	2	4	no	—
1023	C₂²×C₄	—	2	4	no	—
1024	C₂²×C₄	—	2	4	no	—
1025	C₂²×C₄	—	2	4	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	4	2	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	2	no	—
1041	C₂²×C₄	—	4	2	no	—
1042	C₂²×C₄	—	4	2	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	2	no	—
1046	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
1047	C₂²×C₄	C₂×D₄×C₅₉	1	8	yes	complemented
1048	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1052	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1055	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1057	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1059	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1060	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	4	no	—
1074	C₄⋊C₄	—	2	4	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	4	no	—
1077	C₄⋊C₄	—	4	2	no	—
1078	C₄⋊C₄	—	4	2	no	—
1079	C₄⋊C₄	—	4	2	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	complemented
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	4	no	—
1084	C₂²⋊C₄	—	2	4	no	—
1085	C₂²⋊C₄	—	2	4	no	—
1086	C₂²⋊C₄	—	2	4	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	4	no	—
1089	C₂²⋊C₄	—	2	4	no	—
1090	C₂²⋊C₄	—	2	4	no	—
1091	C₂²⋊C₄	—	2	4	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	2	4	no	—
1094	C₂²⋊C₄	—	2	4	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	4	no	—
1099	C₂²⋊C₄	—	2	4	no	—
1100	C₂²⋊C₄	—	2	4	no	—
1101	C₂²⋊C₄	—	2	4	no	—
1102	C₂²⋊C₄	—	2	4	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	4	no	—
1107	C₂²⋊C₄	—	2	4	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	4	2	no	—
1110	C₂²⋊C₄	—	4	2	no	—
1111	C₂²⋊C₄	—	4	2	no	—
1112	C₂²⋊C₄	—	4	2	no	—
1113	C₂²⋊C₄	—	4	2	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	C₂×D₄×C₅₉	1	8	yes	complemented
1117	C₄²	—	2	4	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	—	2	2	no	—
1121	C₄²	C₂×D₄×C₅₉	1	4	yes	complemented
1122	C₂³	—	2	2	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	2	2	no	—
1125	C₂³	—	2	2	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	2	1	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	2	no	—
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	16	no	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	4	8	no	—
1160	C₂³	—	4	8	no	—
1161	C₂³	—	4	8	no	—
1162	C₂³	—	4	8	no	—
1163	C₂³	—	4	8	no	—
1164	C₂³	—	4	8	no	—
1165	C₂³	—	8	4	no	—
1166	C₂³	—	8	4	no	—
1167	C₂³	—	8	4	no	—
1168	C₂³	—	8	4	no	—
1169	C₂³	—	8	4	no	—
1170	C₂³	—	8	4	no	—
1171	C₂³	—	8	4	no	—
1172	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1173	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
1174	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
1175	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
1176	C₂³	C₂×#41×C₅₉	1	4	yes	—
1177	C₂³	H(5,𝔽₂)×C₅₉	1	2	yes	—
1178	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1179	Q₈	—	4	4	no	—
1180	D₄	—	2	8	no	—
1181	D₄	—	2	16	no	—
1182	D₄	—	2	8	no	—
1183	D₄	—	4	4	no	—
1184	D₄	—	4	8	no	—
1185	D₄	—	4	8	no	—
1186	D₄	—	4	4	no	—
1187	D₄	—	4	8	no	—
1188	D₄	—	4	8	no	—
1189	D₄	—	4	8	no	—
1190	D₄	—	4	4	no	—
1191	D₄	—	8	4	no	—
1192	D₄	—	8	4	no	—
1193	D₄	—	8	4	no	—
1194	D₄	#121×C₅₉	1	16	yes	complemented
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	4	8	no	—
1240	C₂×C₄	—	4	8	no	—
1241	C₂×C₄	—	4	8	no	—
1242	C₂×C₄	—	4	4	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	8	4	no	—
1245	C₂×C₄	—	8	4	no	—
1246	C₂×C₄	—	8	4	no	—
1247	C₂×C₄	—	8	4	no	—
1248	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
1249	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1250	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1251	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1252	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1253	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1254	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1255	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1256	C₂²	—	2	4	no	—
1257	C₂²	—	2	4	no	—
1258	C₂²	—	2	4	no	—
1259	C₂²	—	2	4	no	—
1260	C₂²	—	2	4	no	—
1261	C₂²	—	2	4	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	4	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	4	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	2	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	2	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	4	2	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	2	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	2	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	2	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	4	2	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	—	4	2	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	2	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	8	16	no	—
1298	C₂²	—	8	16	no	—
1299	C₂²	C₂×#121×C₅₉	1	8	yes	—
1300	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1301	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1302	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1303	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1304	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1305	C₂²	C₅₉×#585	1	1	yes	characteristic
1306	C₂²	C₅₉×#585	1	1	yes	characteristic
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	4	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	2	no	—
1315	C₄	—	4	2	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	2	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	2	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	C₂×#121×C₅₉	1	4	yes	—
1324	C₂	—	2	8	no	—
1325	C₂	—	4	2	no	—
1326	C₂	—	4	2	no	—
1327	C₂	—	4	4	no	—
1328	C₂	—	8	2	no	—
1329	C₂	—	8	1	no	—
1330	C₂	C₂²×#121×C₅₉	1	1	yes	characteristic
1331	C₂	C₅₉×#3484	1	1	yes	characteristic
1332	C₂	C₅₉×#3485	1	1	yes	characteristic
1333	C₂	C₅₉×#3488	1	1	yes	characteristic
1334	C₂	C₅₉×#3496	1	1	yes	characteristic
1335	C₂	C₅₉×#3513	1	1	yes	characteristic
1336	C₂	C₅₉×#3514	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×#546	C₂	semidirect
2. C₂×C₅₉×#546	C₂	semidirect
3. C₂×D₄²×C₅₉	C₂	semidirect
4. C₂×C₅₉×#518	C₂	semidirect
5. C₅₉×#2620	C₂	semidirect
6. C₅₉×#2617	C₂	semidirect
7. C₅₉×#2544	C₂	semidirect
8. C₅₉×#2537	C₂	semidirect
9. C₅₉×#2534	C₂	semidirect
10. C₅₉×#2428	C₂	semidirect
11. C₅₉×#2427	C₂	semidirect
12. C₅₉×#2425	C₂	semidirect
13. C₅₉×#2424	C₂	semidirect
14. C₅₉×#2416	C₂	semidirect
15. C₅₉×#2415	C₂	semidirect
16. C₅₉×#2414	C₂	semidirect
17. C₅₉×#2412	C₂	semidirect
18. C₅₉×#2410	C₂	semidirect
19. C₅₉×#2392	C₂	semidirect
20. C₂×C₅₉×#394	C₂	semidirect
21. D₄×C₄⋊C₄×C₅₉	C₂	semidirect
22. C₅₉×#2339	C₂	semidirect
23. D₄×C₂²⋊C₄×C₅₉	C₂	semidirect
32. C₂×#124×C₅₉	C₂²	semidirect
33. C₂×#124×C₅₉	C₂²	semidirect
34. C₂×#123×C₅₉	C₂²	semidirect
35. C₂×#123×C₅₉	C₂²	semidirect
36. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
41. C₂×#121×C₅₉	C₂²	semidirect
42. C₂×#121×C₅₉	C₂²	semidirect
43. C₂×#121×C₅₉	C₂²	semidirect
44. C₂×#121×C₅₉	C₂²	semidirect
45. C₂×#121×C₅₉	C₂²	semidirect
46. C₂×#121×C₅₉	C₂²	semidirect
49. C₂×#120×C₅₉	C₂²	semidirect
50. C₂×#120×C₅₉	C₂²	semidirect
57. C₂×C₄×D₄×C₅₉	C₂²	semidirect
58. C₂×C₄×D₄×C₅₉	C₂²	semidirect
59. C₂×C₄×D₄×C₅₉	C₂²	semidirect
60. C₂×C₄×D₄×C₅₉	C₂²	semidirect
61. C₂×C₄×D₄×C₅₉	C₂²	semidirect
62. C₂×C₄×D₄×C₅₉	C₂²	semidirect
63. C₂×#117×C₅₉	C₂²	semidirect
64. C₂×#117×C₅₉	C₂²	semidirect
65. C₂²×C₄⋊C₄×C₅₉	C₂²	semidirect
66. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
67. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
68. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
69. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
70. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
71. C₅₉×#398	C₂²	semidirect
72. C₅₉×#397	C₂²	semidirect
73. C₅₉×#397	C₂²	semidirect
74. C₅₉×#397	C₂²	semidirect
75. C₅₉×#396	C₂²	semidirect
76. C₅₉×#396	C₂²	semidirect
77. C₅₉×#396	C₂²	semidirect
78. C₅₉×#396	C₂²	semidirect
81. C₅₉×#394	C₂²	semidirect
82. C₅₉×#394	C₂²	semidirect
83. C₅₉×#394	C₂²	semidirect
84. C₅₉×#394	C₂²	semidirect
85. C₅₉×#394	C₂²	semidirect
86. C₅₉×#394	C₂²	semidirect
87. C₅₉×#394	C₂²	semidirect
88. C₅₉×#394	C₂²	semidirect
89. C₅₉×#394	C₂²	semidirect
90. C₅₉×#394	C₂²	semidirect
91. C₅₉×#394	C₂²	semidirect
93. C₅₉×#392	C₂²	semidirect
94. C₅₉×#392	C₂²	semidirect
95. C₅₉×#391	C₂²	semidirect
96. C₅₉×#391	C₂²	semidirect
97. C₅₉×#390	C₂²	semidirect
98. C₅₉×#390	C₂²	semidirect
99. C₅₉×#390	C₂²	semidirect
100. C₅₉×#389	C₂²	semidirect
101. C₅₉×#389	C₂²	semidirect
102. C₅₉×#389	C₂²	semidirect
103. C₅₉×#388	C₂²	semidirect
104. C₅₉×#388	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×#386	C₂²	semidirect
112. C₅₉×#386	C₂²	semidirect
113. C₅₉×#385	C₂²	semidirect
114. C₅₉×#385	C₂²	semidirect
115. C₅₉×#384	C₂²	semidirect
116. C₅₉×#381	C₂²	semidirect
117. C₅₉×#380	C₂²	semidirect
118. C₅₉×#380	C₂²	semidirect
119. C₅₉×#380	C₂²	semidirect
120. C₅₉×#380	C₂²	semidirect
121. C₅₉×#380	C₂²	semidirect
122. C₅₉×#379	C₂²	semidirect
123. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
125. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
126. C₂×#95×C₅₉	C₂²	semidirect
141. C₂²×D₄×C₅₉	D₄	semidirect
197. C₄×D₄×C₅₉	D₄	semidirect
378. C₂²×C₄×C₅₉	C₂×D₄	semidirect
412. C₄⋊C₄×C₅₉	C₂×D₄	semidirect
447. C₂²⋊C₄×C₅₉	C₂×D₄	semidirect
452. C₄²×C₅₉	C₂×D₄	semidirect
525. D₄×C₅₉	#121	semidirect
587. #35761	C₅₉	direct (N × H)
656. C₂×#546	C₂×C₅₉	semidirect
657. C₂×#546	C₂×C₅₉	semidirect
658. C₂×D₄²	C₂×C₅₉	semidirect
659. C₂×#518	C₂×C₅₉	semidirect
660. #2620	C₂×C₅₉	semidirect
661. #2617	C₂×C₅₉	semidirect
662. #2544	C₂×C₅₉	semidirect
663. #2537	C₂×C₅₉	semidirect
664. #2534	C₂×C₅₉	semidirect
665. #2428	C₂×C₅₉	semidirect
666. #2427	C₂×C₅₉	semidirect
667. #2425	C₂×C₅₉	semidirect
668. #2424	C₂×C₅₉	semidirect
669. #2416	C₂×C₅₉	semidirect
670. #2415	C₂×C₅₉	semidirect
671. #2414	C₂×C₅₉	semidirect
672. #2412	C₂×C₅₉	semidirect
673. #2410	C₂×C₅₉	semidirect
674. #2392	C₂×C₅₉	semidirect
675. C₂×#394	C₂×C₅₉	semidirect
676. D₄×C₄⋊C₄	C₂×C₅₉	semidirect
677. #2339	C₂×C₅₉	semidirect
678. D₄×C₂²⋊C₄	C₂×C₅₉	semidirect
700. C₂×#124	C₂²×C₅₉	semidirect
701. C₂×#124	C₂²×C₅₉	semidirect
702. C₂×#123	C₂²×C₅₉	semidirect
703. C₂×#123	C₂²×C₅₉	semidirect
704. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
705. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
709. C₂×#121	C₂²×C₅₉	semidirect
710. C₂×#121	C₂²×C₅₉	semidirect
711. C₂×#121	C₂²×C₅₉	semidirect
712. C₂×#121	C₂²×C₅₉	semidirect
713. C₂×#121	C₂²×C₅₉	semidirect
714. C₂×#121	C₂²×C₅₉	semidirect
717. C₂×#120	C₂²×C₅₉	semidirect
718. C₂×#120	C₂²×C₅₉	semidirect
725. C₂×C₄×D₄	C₂²×C₅₉	semidirect
726. C₂×C₄×D₄	C₂²×C₅₉	semidirect
727. C₂×C₄×D₄	C₂²×C₅₉	semidirect
728. C₂×C₄×D₄	C₂²×C₅₉	semidirect
729. C₂×C₄×D₄	C₂²×C₅₉	semidirect
730. C₂×C₄×D₄	C₂²×C₅₉	semidirect
731. C₂×#117	C₂²×C₅₉	semidirect
732. C₂×#117	C₂²×C₅₉	semidirect
733. C₂²×C₄⋊C₄	C₂²×C₅₉	semidirect
734. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
735. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
736. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
737. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
738. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
739. #398	C₂²×C₅₉	semidirect
740. #397	C₂²×C₅₉	semidirect
741. #397	C₂²×C₅₉	semidirect
742. #397	C₂²×C₅₉	semidirect
743. #396	C₂²×C₅₉	semidirect
744. #396	C₂²×C₅₉	semidirect
745. #396	C₂²×C₅₉	semidirect
746. #396	C₂²×C₅₉	semidirect
749. #394	C₂²×C₅₉	semidirect
750. #394	C₂²×C₅₉	semidirect
751. #394	C₂²×C₅₉	semidirect
752. #394	C₂²×C₅₉	semidirect
753. #394	C₂²×C₅₉	semidirect
754. #394	C₂²×C₅₉	semidirect
755. #394	C₂²×C₅₉	semidirect
756. #394	C₂²×C₅₉	semidirect
757. #394	C₂²×C₅₉	semidirect
758. #394	C₂²×C₅₉	semidirect
759. #394	C₂²×C₅₉	semidirect
761. #392	C₂²×C₅₉	semidirect
762. #392	C₂²×C₅₉	semidirect
763. #391	C₂²×C₅₉	semidirect
764. #391	C₂²×C₅₉	semidirect
765. #390	C₂²×C₅₉	semidirect
766. #390	C₂²×C₅₉	semidirect
767. #390	C₂²×C₅₉	semidirect
768. #389	C₂²×C₅₉	semidirect
769. #389	C₂²×C₅₉	semidirect
770. #389	C₂²×C₅₉	semidirect
771. #388	C₂²×C₅₉	semidirect
772. #388	C₂²×C₅₉	semidirect
773. #386	C₂²×C₅₉	semidirect
774. #386	C₂²×C₅₉	semidirect
775. #386	C₂²×C₅₉	semidirect
776. #386	C₂²×C₅₉	semidirect
777. #386	C₂²×C₅₉	semidirect
778. #386	C₂²×C₅₉	semidirect
779. #386	C₂²×C₅₉	semidirect
780. #386	C₂²×C₅₉	semidirect
781. #385	C₂²×C₅₉	semidirect
782. #385	C₂²×C₅₉	semidirect
783. #384	C₂²×C₅₉	semidirect
784. #381	C₂²×C₅₉	semidirect
785. #380	C₂²×C₅₉	semidirect
786. #380	C₂²×C₅₉	semidirect
787. #380	C₂²×C₅₉	semidirect
788. #380	C₂²×C₅₉	semidirect
789. #380	C₂²×C₅₉	semidirect
790. #379	C₂²×C₅₉	semidirect
791. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
792. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
793. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
794. C₂×#95	C₂²×C₅₉	semidirect
795. C₅₉	#35761	direct (N × H)
810. C₂²×D₄	D₄×C₅₉	semidirect
866. C₄×D₄	D₄×C₅₉	semidirect
1047. C₂²×C₄	C₂×D₄×C₅₉	semidirect
1081. C₄⋊C₄	C₂×D₄×C₅₉	semidirect
1116. C₂²⋊C₄	C₂×D₄×C₅₉	semidirect
1121. C₄²	C₂×D₄×C₅₉	semidirect
1194. D₄	#121×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×D₄²×C₅₉	2
C₂×C₅₉×#518	2
C₅₉×#2620	2
C₅₉×#2617	2
C₅₉×#2544	2
C₅₉×#2537	2
C₅₉×#2534	2
C₅₉×#2428	2
C₅₉×#2427	2
C₅₉×#2425	2
C₅₉×#2424	2
C₅₉×#2416	2
C₅₉×#2415	2
C₅₉×#2414	2
C₅₉×#2412	2
C₅₉×#2410	2
C₅₉×#2392	2
C₂×C₅₉×#394	2
D₄×C₄⋊C₄×C₅₉	2
C₅₉×#2339	2
D₄×C₂²⋊C₄×C₅₉	2
#35761	59

Subgroups — C59×#35761 #28447870

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35761 #28447870