Subgroups — C₅₉×#62045 #28474154

Order 15104.

1886 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	C₅₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3369	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3332	C₂	1	2	yes	maximal, complemented
8	C₅₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3306	C₂	1	2	yes	maximal, complemented
10	C₅₉×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3275	C₂	1	2	yes	maximal, complemented
13	C₅₉×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3271	C₂	1	2	yes	maximal, complemented
15	C₅₉×#3263	C₂	1	2	yes	maximal, complemented
16	C₅₉×#3253	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3224	C₂	1	2	yes	maximal, complemented
18	C₅₉×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3125	C₂	1	2	yes	maximal, complemented
20	C₅₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3045	C₂	1	2	yes	maximal, complemented
22	C₅₉×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#137×C₅₉	C₂²	1	2	yes	complemented
25	C₂×AGL(1,ℤ/8)×C₅₉	C₂²	1	2	yes	—
26	C₂×#135×C₅₉	C₂²	1	2	yes	complemented
27	C₅₉×#560	—	2	2	no	—
28	C₅₉×#559	—	2	1	no	—
29	C₅₉×#559	C₂²	1	1	yes	characteristic, complemented
30	Q₈²×C₅₉	C₂²	1	1	yes	characteristic, complemented
31	C₅₉×#556	C₂²	1	1	yes	characteristic
32	C₅₉×#554	—	2	1	no	—
33	C₅₉×#554	C₂²	1	1	yes	characteristic
34	C₅₉×#553	—	2	1	no	—
35	C₅₉×#550	C₂²	1	1	yes	characteristic
36	C₅₉×#550	C₂²	1	2	yes	—
37	C₅₉×#550	C₂²	1	1	yes	characteristic
38	C₅₉×#548	C₂²	1	2	yes	complemented
39	C₅₉×#547	—	2	2	no	—
40	C₅₉×#547	C₂²	1	1	yes	characteristic
41	C₅₉×#547	C₂²	1	2	yes	complemented
42	C₅₉×#546	—	2	1	no	—
43	C₅₉×#546	C₂²	1	2	yes	—
44	D₄²×C₅₉	C₂²	1	1	yes	characteristic
45	C₅₉×#542	—	2	2	no	—
46	C₅₉×#542	C₂²	1	2	yes	—
47	C₅₉×#542	C₂²	1	2	yes	complemented
48	C₅₉×#538	—	2	2	no	—
49	C₅₉×#537	—	2	1	no	—
50	C₅₉×#535	—	2	1	no	—
51	C₅₉×#535	C₂²	1	2	yes	—
52	C₅₉×#532	—	2	1	no	—
53	C₅₉×#532	C₂²	1	1	yes	characteristic
54	C₅₉×#532	C₂²	1	1	yes	characteristic
55	C₅₉×#532	C₂²	1	1	yes	characteristic, complemented
56	C₅₉×#529	—	2	1	no	—
57	C₅₉×#529	C₂²	1	1	yes	characteristic
58	C₅₉×#520	C₂²	1	2	yes	complemented
59	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
60	C₅₉×#496	C₂²	1	2	yes	complemented
61	C₅₉×#495	C₂²	1	2	yes	—
62	C₅₉×#493	C₂²	1	1	yes	characteristic
63	C₅₉×#492	C₂²	1	1	yes	characteristic, complemented
64	C₅₉×#489	C₂²	1	2	yes	—
65	C₅₉×#487	C₂²	1	1	yes	characteristic, complemented
66	C₅₉×#486	C₂²	1	1	yes	characteristic
67	C₅₉×#486	C₂²	1	2	yes	complemented
68	C₅₉×#483	C₂²	1	2	yes	complemented
69	C₅₉×#481	C₂²	1	2	yes	—
70	C₅₉×#481	C₂²	1	1	yes	characteristic
71	C₅₉×#481	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#476	C₂²	1	1	yes	characteristic
73	C₅₉×#476	C₂²	1	2	yes	complemented
74	C₅₉×#476	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#476	C₂²	1	2	yes	complemented
76	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
77	C₅₉×#475	C₂²	1	2	yes	complemented
78	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
79	C₅₉×#470	C₂²	1	2	yes	complemented
80	C₅₉×#469	C₂²	1	2	yes	—
81	C₅₉×#469	C₂²	1	2	yes	—
82	C₅₉×#469	C₂²	1	2	yes	complemented
83	C₅₉×#465	C₂²	1	2	yes	—
84	C₅₉×#465	C₂²	1	2	yes	complemented
85	C₅₉×#464	C₂²	1	2	yes	—
86	C₅₉×#464	C₂²	1	2	yes	complemented
87	C₅₉×#464	C₂²	1	2	yes	complemented
88	C₅₉×#464	C₂²	1	2	yes	complemented
89	C₅₉×#463	C₂²	1	2	yes	—
90	C₅₉×#463	C₂²	1	2	yes	complemented
91	C₅₉×#463	C₂²	1	2	yes	complemented
92	C₅₉×#463	C₂²	1	2	yes	complemented
93	C₅₉×#462	C₂²	1	1	yes	characteristic, complemented
94	C₅₉×#462	C₂²	1	1	yes	characteristic, complemented
95	C₅₉×#460	C₂²	1	1	yes	characteristic
96	C₅₉×#460	C₂²	1	1	yes	characteristic
97	C₅₉×#460	C₂²	1	1	yes	characteristic
98	C₅₉×#460	C₂²	1	1	yes	characteristic
99	C₅₉×#460	C₂²	1	2	yes	complemented
100	C₅₉×#459	C₂²	1	1	yes	characteristic
101	C₅₉×#459	C₂²	1	2	yes	—
102	C₅₉×#459	C₂²	1	1	yes	characteristic, complemented
103	C₅₉×#459	C₂²	1	2	yes	complemented
104	C₅₉×#452	C₂²	1	2	yes	complemented
105	C₅₉×#452	C₂²	1	2	yes	complemented
106	C₅₉×#450	C₂²	1	2	yes	—
107	C₅₉×#449	C₂²	1	2	yes	—
108	C₅₉×#449	C₂²	1	2	yes	complemented
109	C₅₉×#449	C₂²	1	2	yes	complemented
110	C₅₉×#449	C₂²	1	2	yes	complemented
111	C₅₉×#448	C₂²	1	1	yes	characteristic
112	C₅₉×#448	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#447	C₂²	1	2	yes	—
114	C₅₉×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#442	C₂²	1	2	yes	complemented
117	C₅₉×#441	C₂²	1	2	yes	complemented
118	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
120	C₄×SD₁₆×C₅₉	C₂²	1	2	yes	complemented
121	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×SD₁₆×C₅₉	C₂²	1	2	yes	complemented
124	C₅₉×#436	C₂²	1	1	yes	characteristic
125	C₅₉×#436	C₂²	1	2	yes	complemented
126	C₅₉×#435	C₂²	1	2	yes	complemented
127	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
128	C₅₉×#433	C₂²	1	2	yes	complemented
129	C₅₉×#431	C₂²	1	1	yes	characteristic, complemented
130	C₅₉×#424	C₂²	1	2	yes	complemented
131	C₅₉×#423	C₂²	1	1	yes	characteristic, complemented
132	C₅₉×#417	C₂²	1	2	yes	complemented
133	C₅₉×#417	C₂²	1	2	yes	complemented
134	C₂×#102×C₅₉	C₂²	1	2	yes	—
135	C₂×#41×C₅₉	—	2	1	no	—
136	C₂×#41×C₅₉	—	2	2	no	—
137	C₂×#41×C₅₉	—	2	1	no	—
138	C₂×#41×C₅₉	—	2	1	no	—
139	C₂×#41×C₅₉	C₂³	1	2	yes	—
140	C₂×#41×C₅₉	C₂³	1	2	yes	—
141	C₂×#41×C₅₉	C₂³	1	2	yes	—
142	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₅₉	—	2	1	no	—
144	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
145	#137×C₅₉	—	4	4	no	—
146	AGL(1,ℤ/8)×C₅₉	—	4	4	no	—
147	#135×C₅₉	—	4	4	no	—
148	C₂×Q₁₆×C₅₉	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₅₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
152	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
154	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
155	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
156	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
157	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
158	C₂×D₈×C₅₉	C₂³	1	2	yes	—
159	C₂×D₈×C₅₉	C₂³	1	2	yes	—
160	C₂×D₈×C₅₉	C₂³	1	2	yes	—
161	C₂×D₈×C₅₉	C₂³	1	2	yes	—
162	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
163	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
164	C₂²×C₈×C₅₉	C₂³	1	2	yes	—
165	C₄⋊Q₈×C₅₉	—	2	1	no	—
166	C₄⋊Q₈×C₅₉	—	2	2	no	—
167	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
168	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
169	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
170	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
171	#127×C₅₉	—	2	1	no	—
172	#127×C₅₉	—	2	2	no	—
173	#127×C₅₉	C₂³	1	1	yes	characteristic
174	#127×C₅₉	C₂³	1	1	yes	characteristic
175	#127×C₅₉	C₂³	1	2	yes	—
176	#127×C₅₉	C₂³	1	1	yes	characteristic
177	#126×C₅₉	—	2	2	no	—
178	#126×C₅₉	—	2	2	no	—
179	#126×C₅₉	—	2	2	no	—
180	#126×C₅₉	D₄	1	2	yes	—
181	#125×C₅₉	—	2	1	no	—
182	#125×C₅₉	D₄	1	1	yes	characteristic
183	#124×C₅₉	—	2	1	no	—
184	#124×C₅₉	—	2	2	no	—
185	#124×C₅₉	—	2	2	no	—
186	#124×C₅₉	—	2	2	no	—
187	#124×C₅₉	—	2	1	no	—
188	#124×C₅₉	—	2	1	no	—
189	#124×C₅₉	D₄	1	1	yes	characteristic
190	#124×C₅₉	C₂³	1	2	yes	—
191	#124×C₅₉	C₂³	1	2	yes	—
192	#124×C₅₉	C₂³	1	2	yes	—
193	#123×C₅₉	—	2	2	no	—
194	#123×C₅₉	—	2	2	no	—
195	#123×C₅₉	—	2	2	no	—
196	#123×C₅₉	—	2	2	no	—
197	#123×C₅₉	—	2	2	no	—
198	#123×C₅₉	—	2	2	no	—
199	#123×C₅₉	—	2	2	no	—
200	#123×C₅₉	D₄	1	2	yes	—
201	C₂²⋊Q₈×C₅₉	—	2	1	no	—
202	C₂²⋊Q₈×C₅₉	—	2	2	no	—
203	C₂²⋊Q₈×C₅₉	—	2	2	no	—
204	C₂²⋊Q₈×C₅₉	—	2	2	no	—
205	C₂²⋊Q₈×C₅₉	—	2	2	no	—
206	C₂²⋊Q₈×C₅₉	—	2	2	no	—
207	C₂²⋊Q₈×C₅₉	D₄	1	1	yes	characteristic
208	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
209	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
210	#121×C₅₉	—	2	2	no	—
211	#121×C₅₉	—	2	1	no	—
212	#121×C₅₉	—	2	1	no	—
213	#121×C₅₉	—	2	1	no	—
214	#121×C₅₉	—	2	1	no	—
215	#121×C₅₉	—	2	1	no	—
216	#121×C₅₉	—	2	1	no	—
217	#121×C₅₉	—	2	2	no	—
218	#121×C₅₉	—	2	2	no	—
219	#121×C₅₉	—	2	1	no	—
220	#121×C₅₉	—	2	2	no	—
221	#121×C₅₉	—	2	2	no	—
222	#121×C₅₉	—	2	2	no	—
223	#121×C₅₉	—	2	2	no	—
224	#121×C₅₉	—	2	2	no	—
225	#121×C₅₉	D₄	1	1	yes	characteristic
226	#121×C₅₉	C₂³	1	2	yes	—
227	#121×C₅₉	C₂³	1	1	yes	characteristic
228	#121×C₅₉	C₂³	1	1	yes	characteristic
229	#121×C₅₉	C₂³	1	2	yes	—
230	#121×C₅₉	C₂³	1	2	yes	—
231	#120×C₅₉	—	2	2	no	—
232	#120×C₅₉	—	2	2	no	—
233	#120×C₅₉	—	2	2	no	—
234	#120×C₅₉	—	2	2	no	—
235	C₄×Q₈×C₅₉	—	2	1	no	—
236	C₄×Q₈×C₅₉	—	2	1	no	—
237	C₄×Q₈×C₅₉	—	2	1	no	—
238	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
242	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₅₉	—	2	1	no	—
246	C₄×D₄×C₅₉	—	2	1	no	—
247	C₄×D₄×C₅₉	—	2	1	no	—
248	C₄×D₄×C₅₉	—	2	2	no	—
249	C₄×D₄×C₅₉	—	2	2	no	—
250	C₄×D₄×C₅₉	—	2	2	no	—
251	C₄×D₄×C₅₉	—	2	2	no	—
252	C₄×D₄×C₅₉	—	2	1	no	—
253	C₄×D₄×C₅₉	—	2	1	no	—
254	C₄×D₄×C₅₉	—	2	1	no	—
255	C₄×D₄×C₅₉	—	2	1	no	—
256	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₅₉	C₂³	1	2	yes	—
259	C₄×D₄×C₅₉	C₂³	1	2	yes	—
260	C₄×D₄×C₅₉	C₂³	1	2	yes	—
261	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₅₉	C₂³	1	2	yes	—
263	#117×C₅₉	—	2	2	no	—
264	#117×C₅₉	—	2	1	no	—
265	#117×C₅₉	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
267	C₂×C₄⋊C₄×C₅₉	—	2	2	no	—
268	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
269	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
270	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₅₉	—	2	2	no	—
272	C₂×C₄²×C₅₉	—	2	1	no	—
273	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
274	#106×C₅₉	C₂³	1	1	yes	characteristic
275	#106×C₅₉	C₂³	1	1	yes	characteristic
276	#106×C₅₉	C₂³	1	1	yes	characteristic
277	#106×C₅₉	C₂³	1	1	yes	characteristic
278	#106×C₅₉	C₂³	1	2	yes	—
279	#106×C₅₉	C₂³	1	2	yes	—
280	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
281	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
282	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
283	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
284	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
285	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
286	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
287	#103×C₅₉	C₂³	1	2	yes	—
288	#103×C₅₉	C₂³	1	2	yes	—
289	#103×C₅₉	C₂³	1	2	yes	—
290	#103×C₅₉	C₂³	1	1	yes	characteristic
291	#103×C₅₉	C₂³	1	1	yes	characteristic
292	#103×C₅₉	C₂³	1	1	yes	characteristic
293	#103×C₅₉	C₂³	1	1	yes	characteristic
294	#103×C₅₉	C₂³	1	2	yes	—
295	#102×C₅₉	C₂³	1	1	yes	characteristic
296	#102×C₅₉	C₂³	1	2	yes	—
297	#102×C₅₉	C₂³	1	2	yes	—
298	#102×C₅₉	C₂³	1	2	yes	—
299	#102×C₅₉	C₂³	1	1	yes	characteristic
300	#102×C₅₉	C₂³	1	2	yes	—
301	#102×C₅₉	C₂³	1	2	yes	—
302	#102×C₅₉	C₂³	1	1	yes	characteristic
303	#102×C₅₉	C₂³	1	2	yes	—
304	#102×C₅₉	C₂³	1	1	yes	characteristic
305	#102×C₅₉	C₂³	1	2	yes	—
306	#102×C₅₉	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
308	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
310	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
311	#97×C₅₉	C₂³	1	2	yes	—
312	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₅₉	C₂³	1	2	yes	—
315	C₂⁴×C₅₉	—	2	2	no	—
316	#41×C₅₉	—	2	4	no	—
317	#41×C₅₉	—	4	2	no	—
318	#41×C₅₉	—	4	2	no	—
319	#41×C₅₉	—	4	2	no	—
320	#41×C₅₉	—	4	2	no	—
321	#41×C₅₉	—	4	2	no	—
322	#41×C₅₉	—	8	2	no	—
323	#41×C₅₉	—	8	2	no	—
324	#41×C₅₉	—	8	4	no	—
325	#41×C₅₉	—	8	2	no	—
326	C₂×Q₈×C₅₉	—	2	1	no	—
327	C₂×Q₈×C₅₉	—	2	1	no	—
328	C₂×Q₈×C₅₉	—	2	2	no	—
329	C₂×Q₈×C₅₉	—	2	1	no	—
330	C₂×Q₈×C₅₉	—	2	2	no	—
331	C₂×Q₈×C₅₉	—	4	1	no	—
332	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₅₉	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₅₉	—	2	2	no	—
337	C₂×D₄×C₅₉	—	2	2	no	—
338	C₂×D₄×C₅₉	—	2	1	no	—
339	C₂×D₄×C₅₉	—	2	2	no	—
340	C₂×D₄×C₅₉	—	2	2	no	—
341	C₂×D₄×C₅₉	—	2	2	no	—
342	C₂×D₄×C₅₉	—	2	1	no	—
343	C₂×D₄×C₅₉	—	2	2	no	—
344	C₂×D₄×C₅₉	—	2	1	no	—
345	C₂×D₄×C₅₉	—	2	1	no	—
346	C₂×D₄×C₅₉	—	2	1	no	—
347	C₂×D₄×C₅₉	—	2	1	no	—
348	C₂×D₄×C₅₉	—	2	2	no	—
349	C₂×D₄×C₅₉	—	2	1	no	—
350	C₂×D₄×C₅₉	—	2	2	no	—
351	C₂×D₄×C₅₉	—	2	2	no	—
352	C₂×D₄×C₅₉	—	2	1	no	—
353	C₂×D₄×C₅₉	—	4	2	no	—
354	C₂×D₄×C₅₉	—	4	2	no	—
355	C₂×D₄×C₅₉	—	8	2	no	—
356	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
357	C₂×D₄×C₅₉	C₂×D₄	1	2	yes	—
358	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
359	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
360	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
361	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₅₉	—	2	1	no	—
363	C₂²×C₄×C₅₉	—	2	1	no	—
364	C₂²×C₄×C₅₉	—	2	2	no	—
365	C₂²×C₄×C₅₉	—	2	2	no	—
366	C₂²×C₄×C₅₉	—	2	1	no	—
367	C₂²×C₄×C₅₉	—	2	1	no	—
368	C₂²×C₄×C₅₉	—	2	2	no	—
369	C₂²×C₄×C₅₉	—	2	2	no	—
370	C₂²×C₄×C₅₉	—	2	2	no	—
371	C₂²×C₄×C₅₉	—	2	2	no	—
372	C₂²×C₄×C₅₉	—	2	2	no	—
373	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
375	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
377	Q₁₆×C₅₉	—	2	4	no	—
378	Q₁₆×C₅₉	—	4	2	no	—
379	SD₁₆×C₅₉	—	2	2	no	—
380	SD₁₆×C₅₉	—	2	2	no	—
381	SD₁₆×C₅₉	—	2	4	no	—
382	SD₁₆×C₅₉	—	4	1	no	—
383	SD₁₆×C₅₉	—	4	2	no	—
384	SD₁₆×C₅₉	—	4	1	no	—
385	SD₁₆×C₅₉	—	4	2	no	—
386	SD₁₆×C₅₉	—	4	2	no	—
387	D₈×C₅₉	—	4	2	no	—
388	D₈×C₅₉	—	4	2	no	—
389	D₈×C₅₉	—	4	2	no	—
390	D₈×C₅₉	—	4	2	no	—
391	M₁₆×C₅₉	—	4	2	no	—
392	M₁₆×C₅₉	—	4	2	no	—
393	C₂×C₈×C₅₉	—	4	2	no	—
394	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
396	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
398	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
400	C₄⋊C₄×C₅₉	—	2	1	no	—
401	C₄⋊C₄×C₅₉	—	2	2	no	—
402	C₄⋊C₄×C₅₉	—	2	1	no	—
403	C₄⋊C₄×C₅₉	—	2	2	no	—
404	C₄⋊C₄×C₅₉	—	2	1	no	—
405	C₄⋊C₄×C₅₉	—	2	1	no	—
406	C₄⋊C₄×C₅₉	—	2	1	no	—
407	C₄⋊C₄×C₅₉	—	2	2	no	—
408	C₄⋊C₄×C₅₉	—	2	1	no	—
409	C₄⋊C₄×C₅₉	—	2	1	no	—
410	C₄⋊C₄×C₅₉	—	2	1	no	—
411	C₄⋊C₄×C₅₉	—	2	1	no	—
412	C₄⋊C₄×C₅₉	—	2	2	no	—
413	C₄⋊C₄×C₅₉	—	2	2	no	—
414	C₄⋊C₄×C₅₉	—	2	2	no	—
415	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
418	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
420	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
421	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
424	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
425	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
426	C₂²⋊C₄×C₅₉	—	2	2	no	—
427	C₂²⋊C₄×C₅₉	—	2	2	no	—
428	C₂²⋊C₄×C₅₉	—	2	1	no	—
429	C₂²⋊C₄×C₅₉	—	2	2	no	—
430	C₂²⋊C₄×C₅₉	—	2	2	no	—
431	C₂²⋊C₄×C₅₉	—	2	2	no	—
432	C₂²⋊C₄×C₅₉	—	2	2	no	—
433	C₂²⋊C₄×C₅₉	—	2	1	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	2	no	—
438	C₂²⋊C₄×C₅₉	—	2	2	no	—
439	C₂²⋊C₄×C₅₉	—	2	2	no	—
440	C₂²⋊C₄×C₅₉	—	2	2	no	—
441	C₂²⋊C₄×C₅₉	—	2	1	no	—
442	C₂²⋊C₄×C₅₉	—	2	2	no	—
443	C₂²⋊C₄×C₅₉	—	2	1	no	—
444	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
445	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
446	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
447	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
448	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
449	C₄²×C₅₉	—	2	1	no	—
450	C₄²×C₅₉	—	2	1	no	—
451	C₄²×C₅₉	—	2	1	no	—
452	C₄²×C₅₉	—	2	1	no	—
453	C₄²×C₅₉	—	2	2	no	—
454	C₄²×C₅₉	—	2	2	no	—
455	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
457	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
458	C₄²×C₅₉	C₂⁴	1	2	yes	—
459	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
460	C₂³×C₅₉	—	2	2	no	—
461	C₂³×C₅₉	—	2	1	no	—
462	C₂³×C₅₉	—	2	2	no	—
463	C₂³×C₅₉	—	2	1	no	—
464	C₂³×C₅₉	—	8	2	no	—
465	C₂³×C₅₉	—	8	2	no	—
466	C₂³×C₅₉	—	8	2	no	—
467	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
468	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
469	Q₈×C₅₉	—	2	2	no	—
470	Q₈×C₅₉	—	2	1	no	—
471	Q₈×C₅₉	—	2	1	no	—
472	Q₈×C₅₉	—	2	2	no	—
473	Q₈×C₅₉	—	2	1	no	—
474	Q₈×C₅₉	—	2	2	no	—
475	Q₈×C₅₉	—	4	2	no	—
476	Q₈×C₅₉	—	8	1	no	—
477	Q₈×C₅₉	—	8	2	no	—
478	Q₈×C₅₉	—	8	1	no	—
479	Q₈×C₅₉	H(5,𝔽₂)	1	2	yes	—
480	D₄×C₅₉	—	2	2	no	—
481	D₄×C₅₉	—	2	2	no	—
482	D₄×C₅₉	—	2	1	no	—
483	D₄×C₅₉	—	2	1	no	—
484	D₄×C₅₉	—	2	2	no	—
485	D₄×C₅₉	—	2	2	no	—
486	D₄×C₅₉	—	2	2	no	—
487	D₄×C₅₉	—	2	1	no	—
488	D₄×C₅₉	—	2	1	no	—
489	D₄×C₅₉	—	4	2	no	—
490	D₄×C₅₉	—	4	4	no	—
491	D₄×C₅₉	—	4	4	no	—
492	D₄×C₅₉	—	4	2	no	—
493	D₄×C₅₉	—	4	2	no	—
494	D₄×C₅₉	—	8	1	no	—
495	D₄×C₅₉	—	8	1	no	—
496	D₄×C₅₉	—	8	2	no	—
497	D₄×C₅₉	—	8	2	no	—
498	D₄×C₅₉	—	8	1	no	—
499	D₄×C₅₉	—	8	1	no	—
500	D₄×C₅₉	—	8	2	no	—
501	D₄×C₅₉	—	8	2	no	—
502	D₄×C₅₉	—	8	2	no	—
503	D₄×C₅₉	—	8	2	no	—
504	D₄×C₅₉	—	8	2	no	—
505	D₄×C₅₉	—	8	1	no	—
506	D₄×C₅₉	—	8	1	no	—
507	C₂×C₄×C₅₉	—	2	1	no	—
508	C₂×C₄×C₅₉	—	2	2	no	—
509	C₂×C₄×C₅₉	—	2	2	no	—
510	C₂×C₄×C₅₉	—	2	1	no	—
511	C₂×C₄×C₅₉	—	2	2	no	—
512	C₂×C₄×C₅₉	—	2	1	no	—
513	C₂×C₄×C₅₉	—	2	1	no	—
514	C₂×C₄×C₅₉	—	2	1	no	—
515	C₂×C₄×C₅₉	—	2	1	no	—
516	C₂×C₄×C₅₉	—	2	1	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	—	4	1	no	—
521	C₂×C₄×C₅₉	—	4	4	no	—
522	C₂×C₄×C₅₉	—	4	2	no	—
523	C₂×C₄×C₅₉	—	4	2	no	—
524	C₂×C₄×C₅₉	—	4	2	no	—
525	C₂×C₄×C₅₉	—	4	2	no	—
526	C₂×C₄×C₅₉	—	8	2	no	—
527	C₂×C₄×C₅₉	—	8	2	no	—
528	C₂×C₄×C₅₉	—	8	2	no	—
529	C₂×C₄×C₅₉	—	8	2	no	—
530	C₂×C₄×C₅₉	—	8	2	no	—
531	C₂×C₄×C₅₉	—	8	2	no	—
532	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
534	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
541	C₈×C₅₉	—	2	1	no	—
542	C₈×C₅₉	—	2	2	no	—
543	C₈×C₅₉	—	2	1	no	—
544	C₈×C₅₉	—	2	2	no	—
545	C₈×C₅₉	—	2	1	no	—
546	C₈×C₅₉	—	2	1	no	—
547	#62045	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
548	C₂²×C₅₉	—	2	1	no	—
549	C₂²×C₅₉	—	2	2	no	—
550	C₂²×C₅₉	—	2	1	no	—
551	C₂²×C₅₉	—	2	2	no	—
552	C₂²×C₅₉	—	2	1	no	—
553	C₂²×C₅₉	—	2	2	no	—
554	C₂²×C₅₉	—	4	2	no	—
555	C₂²×C₅₉	—	4	1	no	—
556	C₂²×C₅₉	—	4	2	no	—
557	C₂²×C₅₉	—	4	1	no	—
558	C₂²×C₅₉	—	4	2	no	—
559	C₂²×C₅₉	—	4	1	no	—
560	C₂²×C₅₉	—	4	2	no	—
561	C₂²×C₅₉	—	4	1	no	—
562	C₂²×C₅₉	—	4	1	no	—
563	C₂²×C₅₉	—	4	1	no	—
564	C₂²×C₅₉	—	4	2	no	—
565	C₂²×C₅₉	—	4	2	no	—
566	C₂²×C₅₉	—	16	4	no	—
567	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
568	C₄×C₅₉	—	2	1	no	—
569	C₄×C₅₉	—	2	1	no	—
570	C₄×C₅₉	—	2	2	no	—
571	C₄×C₅₉	—	2	2	no	—
572	C₄×C₅₉	—	2	1	no	—
573	C₄×C₅₉	—	2	2	no	—
574	C₄×C₅₉	—	2	1	no	—
575	C₄×C₅₉	—	2	2	no	—
576	C₄×C₅₉	—	4	1	no	—
577	C₄×C₅₉	—	4	1	no	—
578	C₄×C₅₉	—	4	2	no	—
579	C₄×C₅₉	—	4	1	no	—
580	C₄×C₅₉	—	4	2	no	—
581	C₄×C₅₉	—	4	1	no	—
582	C₄×C₅₉	—	4	1	no	—
583	C₄×C₅₉	#577	1	2	yes	—
584	C₄×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
585	C₄×C₅₉	#585	1	1	yes	characteristic
586	#3546	C₂×C₅₉	1	1	yes	characteristic, complemented
587	#3522	C₂×C₅₉	1	1	yes	characteristic, complemented
588	#3399	C₂×C₅₉	1	1	yes	characteristic, complemented
589	#3394	C₂×C₅₉	1	1	yes	characteristic, complemented
590	#3369	C₂×C₅₉	1	1	yes	characteristic, complemented
591	#3362	C₂×C₅₉	1	1	yes	characteristic, complemented
592	#3332	C₂×C₅₉	1	2	yes	complemented
593	#3331	C₂×C₅₉	1	1	yes	characteristic, complemented
594	#3306	C₂×C₅₉	1	2	yes	complemented
595	#3295	C₂×C₅₉	1	1	yes	characteristic, complemented
596	#3284	C₂×C₅₉	1	1	yes	characteristic, complemented
597	#3275	C₂×C₅₉	1	2	yes	complemented
598	#3274	C₂×C₅₉	1	1	yes	characteristic, complemented
599	#3271	C₂×C₅₉	1	2	yes	complemented
600	#3263	C₂×C₅₉	1	2	yes	complemented
601	#3253	C₂×C₅₉	1	1	yes	characteristic, complemented
602	#3224	C₂×C₅₉	1	2	yes	complemented
603	#3207	C₂×C₅₉	1	1	yes	characteristic, complemented
604	#3125	C₂×C₅₉	1	2	yes	complemented
605	#3103	C₂×C₅₉	1	1	yes	characteristic, complemented
606	#3045	C₂×C₅₉	1	2	yes	complemented
607	#3037	C₂×C₅₉	1	1	yes	characteristic, complemented
608	#2993	C₂×C₅₉	1	1	yes	characteristic, complemented
609	C₂×C₅₉	—	4	1	no	—
610	C₂×C₅₉	—	4	2	no	—
611	C₂×C₅₉	—	8	2	no	—
612	C₂×C₅₉	—	8	1	no	—
613	C₂×C₅₉	—	8	2	no	—
614	C₂×C₅₉	—	8	1	no	—
615	C₂×C₅₉	#3488	1	1	yes	characteristic
616	C₂×C₅₉	C₂×#577	1	1	yes	characteristic
617	C₂×C₅₉	#3585	1	1	yes	characteristic
618	C₂×#137	C₂²×C₅₉	1	2	yes	complemented
619	C₂×AGL(1,ℤ/8)	C₂²×C₅₉	1	2	yes	—
620	C₂×#135	C₂²×C₅₉	1	2	yes	complemented
621	#560	—	2	2	no	—
622	#559	—	2	1	no	—
623	#559	C₂²×C₅₉	1	1	yes	characteristic, complemented
624	Q₈²	C₂²×C₅₉	1	1	yes	characteristic, complemented
625	#556	C₂²×C₅₉	1	1	yes	characteristic
626	#554	—	2	1	no	—
627	#554	C₂²×C₅₉	1	1	yes	characteristic
628	#553	—	2	1	no	—
629	#550	C₂²×C₅₉	1	2	yes	—
630	#550	C₂²×C₅₉	1	1	yes	characteristic
631	#550	C₂²×C₅₉	1	1	yes	characteristic
632	#548	C₂²×C₅₉	1	2	yes	complemented
633	#547	—	2	2	no	—
634	#547	C₂²×C₅₉	1	1	yes	characteristic
635	#547	C₂²×C₅₉	1	2	yes	complemented
636	#546	—	2	1	no	—
637	#546	C₂²×C₅₉	1	2	yes	—
638	D₄²	C₂²×C₅₉	1	1	yes	characteristic
639	#542	—	2	2	no	—
640	#542	C₂²×C₅₉	1	2	yes	—
641	#542	C₂²×C₅₉	1	2	yes	complemented
642	#538	—	2	2	no	—
643	#537	—	2	1	no	—
644	#535	—	2	1	no	—
645	#535	C₂²×C₅₉	1	2	yes	—
646	#532	—	2	1	no	—
647	#532	C₂²×C₅₉	1	1	yes	characteristic
648	#532	C₂²×C₅₉	1	1	yes	characteristic
649	#532	C₂²×C₅₉	1	1	yes	characteristic, complemented
650	#529	—	2	1	no	—
651	#529	C₂²×C₅₉	1	1	yes	characteristic
652	#520	C₂²×C₅₉	1	2	yes	complemented
653	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
654	#496	C₂²×C₅₉	1	2	yes	complemented
655	#495	C₂²×C₅₉	1	2	yes	—
656	#493	C₂²×C₅₉	1	1	yes	characteristic
657	#492	C₂²×C₅₉	1	1	yes	characteristic, complemented
658	#489	C₂²×C₅₉	1	2	yes	—
659	#487	C₂²×C₅₉	1	1	yes	characteristic, complemented
660	#486	C₂²×C₅₉	1	1	yes	characteristic
661	#486	C₂²×C₅₉	1	2	yes	complemented
662	#483	C₂²×C₅₉	1	2	yes	complemented
663	#481	C₂²×C₅₉	1	2	yes	—
664	#481	C₂²×C₅₉	1	1	yes	characteristic
665	#481	C₂²×C₅₉	1	1	yes	characteristic, complemented
666	#476	C₂²×C₅₉	1	1	yes	characteristic
667	#476	C₂²×C₅₉	1	1	yes	characteristic, complemented
668	#476	C₂²×C₅₉	1	2	yes	complemented
669	#476	C₂²×C₅₉	1	2	yes	complemented
670	#475	C₂²×C₅₉	1	2	yes	complemented
671	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
672	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
673	#470	C₂²×C₅₉	1	2	yes	complemented
674	#469	C₂²×C₅₉	1	2	yes	—
675	#469	C₂²×C₅₉	1	2	yes	—
676	#469	C₂²×C₅₉	1	2	yes	complemented
677	#465	C₂²×C₅₉	1	2	yes	—
678	#465	C₂²×C₅₉	1	2	yes	complemented
679	#464	C₂²×C₅₉	1	2	yes	—
680	#464	C₂²×C₅₉	1	2	yes	complemented
681	#464	C₂²×C₅₉	1	2	yes	complemented
682	#464	C₂²×C₅₉	1	2	yes	complemented
683	#463	C₂²×C₅₉	1	2	yes	—
684	#463	C₂²×C₅₉	1	2	yes	complemented
685	#463	C₂²×C₅₉	1	2	yes	complemented
686	#463	C₂²×C₅₉	1	2	yes	complemented
687	#462	C₂²×C₅₉	1	1	yes	characteristic, complemented
688	#462	C₂²×C₅₉	1	1	yes	characteristic, complemented
689	#460	C₂²×C₅₉	1	1	yes	characteristic
690	#460	C₂²×C₅₉	1	1	yes	characteristic
691	#460	C₂²×C₅₉	1	1	yes	characteristic
692	#460	C₂²×C₅₉	1	1	yes	characteristic
693	#460	C₂²×C₅₉	1	2	yes	complemented
694	#459	C₂²×C₅₉	1	1	yes	characteristic
695	#459	C₂²×C₅₉	1	2	yes	—
696	#459	C₂²×C₅₉	1	2	yes	complemented
697	#459	C₂²×C₅₉	1	1	yes	characteristic, complemented
698	#452	C₂²×C₅₉	1	2	yes	complemented
699	#452	C₂²×C₅₉	1	2	yes	complemented
700	#450	C₂²×C₅₉	1	2	yes	—
701	#449	C₂²×C₅₉	1	2	yes	—
702	#449	C₂²×C₅₉	1	2	yes	complemented
703	#449	C₂²×C₅₉	1	2	yes	complemented
704	#449	C₂²×C₅₉	1	2	yes	complemented
705	#448	C₂²×C₅₉	1	1	yes	characteristic
706	#448	C₂²×C₅₉	1	1	yes	characteristic, complemented
707	#447	C₂²×C₅₉	1	2	yes	—
708	#446	C₂²×C₅₉	1	1	yes	characteristic, complemented
709	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
710	#442	C₂²×C₅₉	1	2	yes	complemented
711	#441	C₂²×C₅₉	1	2	yes	complemented
712	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
713	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
714	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
715	C₄×SD₁₆	C₂²×C₅₉	1	2	yes	complemented
716	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
717	C₄×SD₁₆	C₂²×C₅₉	1	2	yes	complemented
718	#436	C₂²×C₅₉	1	1	yes	characteristic
719	#436	C₂²×C₅₉	1	2	yes	complemented
720	#435	C₂²×C₅₉	1	2	yes	complemented
721	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
722	#433	C₂²×C₅₉	1	2	yes	complemented
723	#431	C₂²×C₅₉	1	1	yes	characteristic, complemented
724	#424	C₂²×C₅₉	1	2	yes	complemented
725	#423	C₂²×C₅₉	1	1	yes	characteristic, complemented
726	#417	C₂²×C₅₉	1	2	yes	complemented
727	#417	C₂²×C₅₉	1	2	yes	complemented
728	C₂×#102	C₂²×C₅₉	1	2	yes	—
729	C₅₉	#62045	1	1	yes	characteristic, direct product factor, Sylow
730	C₂×#41	—	2	1	no	—
731	C₂×#41	—	2	2	no	—
732	C₂×#41	—	2	1	no	—
733	C₂×#41	—	2	1	no	—
734	C₂×#41	C₂³×C₅₉	1	2	yes	—
735	C₂×#41	C₂³×C₅₉	1	2	yes	—
736	C₂×#41	C₂³×C₅₉	1	2	yes	—
737	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
738	C₂²×D₄	—	2	1	no	—
739	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
740	#137	—	4	4	no	—
741	AGL(1,ℤ/8)	—	4	4	no	—
742	#135	—	4	4	no	—
743	C₂×Q₁₆	C₂³×C₅₉	1	2	yes	—
744	C₂×Q₁₆	C₂³×C₅₉	1	2	yes	—
745	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
746	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
747	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
748	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
749	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
751	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
752	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
753	C₂×D₈	C₂³×C₅₉	1	2	yes	—
754	C₂×D₈	C₂³×C₅₉	1	2	yes	—
755	C₂×D₈	C₂³×C₅₉	1	2	yes	—
756	C₂×D₈	C₂³×C₅₉	1	2	yes	—
757	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
758	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
759	C₂²×C₈	C₂³×C₅₉	1	2	yes	—
760	C₄⋊Q₈	—	2	1	no	—
761	C₄⋊Q₈	—	2	2	no	—
762	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
763	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
765	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
766	#127	—	2	1	no	—
767	#127	—	2	2	no	—
768	#127	C₂³×C₅₉	1	1	yes	characteristic
769	#127	C₂³×C₅₉	1	1	yes	characteristic
770	#127	C₂³×C₅₉	1	1	yes	characteristic
771	#127	C₂³×C₅₉	1	2	yes	—
772	#126	—	2	2	no	—
773	#126	—	2	2	no	—
774	#126	—	2	2	no	—
775	#126	D₄×C₅₉	1	2	yes	—
776	#125	—	2	1	no	—
777	#125	D₄×C₅₉	1	1	yes	characteristic
778	#124	—	2	1	no	—
779	#124	—	2	2	no	—
780	#124	—	2	2	no	—
781	#124	—	2	2	no	—
782	#124	—	2	1	no	—
783	#124	—	2	1	no	—
784	#124	D₄×C₅₉	1	1	yes	characteristic
785	#124	C₂³×C₅₉	1	2	yes	—
786	#124	C₂³×C₅₉	1	2	yes	—
787	#124	C₂³×C₅₉	1	2	yes	—
788	#123	—	2	2	no	—
789	#123	—	2	2	no	—
790	#123	—	2	2	no	—
791	#123	—	2	2	no	—
792	#123	—	2	2	no	—
793	#123	—	2	2	no	—
794	#123	—	2	2	no	—
795	#123	D₄×C₅₉	1	2	yes	—
796	C₂²⋊Q₈	—	2	1	no	—
797	C₂²⋊Q₈	—	2	2	no	—
798	C₂²⋊Q₈	—	2	2	no	—
799	C₂²⋊Q₈	—	2	2	no	—
800	C₂²⋊Q₈	—	2	2	no	—
801	C₂²⋊Q₈	—	2	2	no	—
802	C₂²⋊Q₈	D₄×C₅₉	1	1	yes	characteristic
803	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
804	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
805	#121	—	2	2	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	1	no	—
809	#121	—	2	1	no	—
810	#121	—	2	1	no	—
811	#121	—	2	1	no	—
812	#121	—	2	2	no	—
813	#121	—	2	2	no	—
814	#121	—	2	1	no	—
815	#121	—	2	2	no	—
816	#121	—	2	2	no	—
817	#121	—	2	2	no	—
818	#121	—	2	2	no	—
819	#121	—	2	2	no	—
820	#121	D₄×C₅₉	1	1	yes	characteristic
821	#121	C₂³×C₅₉	1	1	yes	characteristic
822	#121	C₂³×C₅₉	1	1	yes	characteristic
823	#121	C₂³×C₅₉	1	2	yes	—
824	#121	C₂³×C₅₉	1	2	yes	—
825	#121	C₂³×C₅₉	1	2	yes	—
826	#120	—	2	2	no	—
827	#120	—	2	2	no	—
828	#120	—	2	2	no	—
829	#120	—	2	2	no	—
830	C₄×Q₈	—	2	1	no	—
831	C₄×Q₈	—	2	1	no	—
832	C₄×Q₈	—	2	1	no	—
833	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
834	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
835	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
836	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
837	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
838	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
839	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	1	no	—
843	C₄×D₄	—	2	2	no	—
844	C₄×D₄	—	2	2	no	—
845	C₄×D₄	—	2	2	no	—
846	C₄×D₄	—	2	2	no	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	1	no	—
850	C₄×D₄	—	2	1	no	—
851	C₄×D₄	C₂³×C₅₉	1	2	yes	—
852	C₄×D₄	C₂³×C₅₉	1	2	yes	—
853	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
854	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
855	C₄×D₄	C₂³×C₅₉	1	2	yes	—
856	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
857	C₄×D₄	C₂³×C₅₉	1	2	yes	—
858	#117	—	2	2	no	—
859	#117	—	2	1	no	—
860	#117	C₂³×C₅₉	1	2	yes	—
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	—	2	2	no	—
863	C₂×C₄⋊C₄	—	2	1	no	—
864	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
866	C₂×C₂²⋊C₄	—	2	2	no	—
867	C₂×C₄²	—	2	1	no	—
868	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
869	#106	C₂³×C₅₉	1	1	yes	characteristic
870	#106	C₂³×C₅₉	1	1	yes	characteristic
871	#106	C₂³×C₅₉	1	1	yes	characteristic
872	#106	C₂³×C₅₉	1	1	yes	characteristic
873	#106	C₂³×C₅₉	1	2	yes	—
874	#106	C₂³×C₅₉	1	2	yes	—
875	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
876	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
877	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
878	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
879	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
880	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
881	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
882	#103	C₂³×C₅₉	1	2	yes	—
883	#103	C₂³×C₅₉	1	2	yes	—
884	#103	C₂³×C₅₉	1	2	yes	—
885	#103	C₂³×C₅₉	1	1	yes	characteristic
886	#103	C₂³×C₅₉	1	1	yes	characteristic
887	#103	C₂³×C₅₉	1	1	yes	characteristic
888	#103	C₂³×C₅₉	1	1	yes	characteristic
889	#103	C₂³×C₅₉	1	2	yes	—
890	#102	C₂³×C₅₉	1	1	yes	characteristic
891	#102	C₂³×C₅₉	1	2	yes	—
892	#102	C₂³×C₅₉	1	2	yes	—
893	#102	C₂³×C₅₉	1	2	yes	—
894	#102	C₂³×C₅₉	1	1	yes	characteristic
895	#102	C₂³×C₅₉	1	2	yes	—
896	#102	C₂³×C₅₉	1	2	yes	—
897	#102	C₂³×C₅₉	1	1	yes	characteristic
898	#102	C₂³×C₅₉	1	2	yes	—
899	#102	C₂³×C₅₉	1	1	yes	characteristic
900	#102	C₂³×C₅₉	1	2	yes	—
901	#102	C₂³×C₅₉	1	2	yes	—
902	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
903	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
904	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
905	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
906	#97	C₂³×C₅₉	1	2	yes	—
907	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
908	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
909	C₄×C₈	C₂³×C₅₉	1	2	yes	—
910	C₂⁴	—	2	2	no	—
911	#41	—	2	4	no	—
912	#41	—	4	2	no	—
913	#41	—	4	2	no	—
914	#41	—	4	2	no	—
915	#41	—	4	2	no	—
916	#41	—	4	2	no	—
917	#41	—	8	2	no	—
918	#41	—	8	2	no	—
919	#41	—	8	4	no	—
920	#41	—	8	2	no	—
921	C₂×Q₈	—	2	1	no	—
922	C₂×Q₈	—	2	1	no	—
923	C₂×Q₈	—	2	2	no	—
924	C₂×Q₈	—	2	1	no	—
925	C₂×Q₈	—	2	2	no	—
926	C₂×Q₈	—	4	1	no	—
927	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
928	C₂×Q₈	C₂⁴×C₅₉	1	2	yes	—
929	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
930	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	1	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	4	2	no	—
949	C₂×D₄	—	4	2	no	—
950	C₂×D₄	—	8	2	no	—
951	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
952	C₂×D₄	C₂×D₄×C₅₉	1	2	yes	—
953	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
954	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
955	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
956	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	2	1	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
969	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
971	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
972	Q₁₆	—	2	4	no	—
973	Q₁₆	—	4	2	no	—
974	SD₁₆	—	2	2	no	—
975	SD₁₆	—	2	2	no	—
976	SD₁₆	—	2	4	no	—
977	SD₁₆	—	4	2	no	—
978	SD₁₆	—	4	2	no	—
979	SD₁₆	—	4	1	no	—
980	SD₁₆	—	4	2	no	—
981	SD₁₆	—	4	1	no	—
982	D₈	—	4	2	no	—
983	D₈	—	4	2	no	—
984	D₈	—	4	2	no	—
985	D₈	—	4	2	no	—
986	M₁₆	—	4	2	no	—
987	M₁₆	—	4	2	no	—
988	C₂×C₈	—	4	2	no	—
989	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
990	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
991	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
992	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
993	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
994	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1011	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1012	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1013	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1014	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1015	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1016	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1017	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1018	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1019	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1020	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1040	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1041	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1042	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	2	no	—
1050	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1051	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1052	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1053	C₄²	C₂⁴×C₅₉	1	2	yes	—
1054	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	8	2	no	—
1060	C₂³	—	8	2	no	—
1061	C₂³	—	8	2	no	—
1062	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1063	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1064	Q₈	—	2	2	no	—
1065	Q₈	—	2	1	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	2	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	2	no	—
1070	Q₈	—	4	2	no	—
1071	Q₈	—	8	1	no	—
1072	Q₈	—	8	1	no	—
1073	Q₈	—	8	2	no	—
1074	Q₈	H(5,𝔽₂)×C₅₉	1	2	yes	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	4	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	8	1	no	—
1090	D₄	—	8	1	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	2	no	—
1093	D₄	—	8	1	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	1	no	—
1096	D₄	—	8	2	no	—
1097	D₄	—	8	2	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	8	1	no	—
1100	D₄	—	8	1	no	—
1101	D₄	—	8	2	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	—	8	2	no	—
1124	C₂×C₄	—	8	2	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	2	no	—
1127	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1130	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1131	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1132	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1133	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1134	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1135	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1136	C₈	—	2	1	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	2	1	no	—
1139	C₈	—	2	2	no	—
1140	C₈	—	2	1	no	—
1141	C₈	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	16	4	no	—
1161	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1162	C₄	—	2	1	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	1	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	2	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	2	no	—
1177	C₄	C₅₉×#577	1	2	yes	—
1178	C₄	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1179	C₄	C₅₉×#585	1	1	yes	characteristic
1180	C₂	—	4	2	no	—
1181	C₂	—	4	1	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	2	no	—
1184	C₂	—	8	1	no	—
1185	C₂	—	8	2	no	—
1186	C₂	C₅₉×#3488	1	1	yes	characteristic
1187	C₂	C₂×C₅₉×#577	1	1	yes	characteristic
1188	C₂	C₅₉×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ C₅₉×#529 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₅₉×#3546	C₂	semidirect
2. C₅₉×#3522	C₂	semidirect
3. C₅₉×#3399	C₂	semidirect
4. C₅₉×#3394	C₂	semidirect
5. C₅₉×#3369	C₂	semidirect
6. C₅₉×#3362	C₂	semidirect
7. C₅₉×#3332	C₂	semidirect
8. C₅₉×#3331	C₂	semidirect
9. C₅₉×#3306	C₂	semidirect
10. C₅₉×#3295	C₂	semidirect
11. C₅₉×#3284	C₂	semidirect
12. C₅₉×#3275	C₂	semidirect
13. C₅₉×#3274	C₂	semidirect
14. C₅₉×#3271	C₂	semidirect
15. C₅₉×#3263	C₂	semidirect
16. C₅₉×#3253	C₂	semidirect
17. C₅₉×#3224	C₂	semidirect
18. C₅₉×#3207	C₂	semidirect
19. C₅₉×#3125	C₂	semidirect
20. C₅₉×#3103	C₂	semidirect
21. C₅₉×#3045	C₂	semidirect
22. C₅₉×#3037	C₂	semidirect
23. C₅₉×#2993	C₂	semidirect
24. C₂×#137×C₅₉	C₂²	semidirect
26. C₂×#135×C₅₉	C₂²	semidirect
29. C₅₉×#559	C₂²	semidirect
30. Q₈²×C₅₉	C₂²	semidirect
38. C₅₉×#548	C₂²	semidirect
41. C₅₉×#547	C₂²	semidirect
47. C₅₉×#542	C₂²	semidirect
55. C₅₉×#532	C₂²	semidirect
58. C₅₉×#520	C₂²	semidirect
59. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
60. C₅₉×#496	C₂²	semidirect
63. C₅₉×#492	C₂²	semidirect
65. C₅₉×#487	C₂²	semidirect
67. C₅₉×#486	C₂²	semidirect
68. C₅₉×#483	C₂²	semidirect
71. C₅₉×#481	C₂²	semidirect
73. C₅₉×#476	C₂²	semidirect
74. C₅₉×#476	C₂²	semidirect
75. C₅₉×#476	C₂²	semidirect
76. C₅₉×#475	C₂²	semidirect
77. C₅₉×#475	C₂²	semidirect
78. C₅₉×#475	C₂²	semidirect
79. C₅₉×#470	C₂²	semidirect
82. C₅₉×#469	C₂²	semidirect
84. C₅₉×#465	C₂²	semidirect
86. C₅₉×#464	C₂²	semidirect
87. C₅₉×#464	C₂²	semidirect
88. C₅₉×#464	C₂²	semidirect
90. C₅₉×#463	C₂²	semidirect
91. C₅₉×#463	C₂²	semidirect
92. C₅₉×#463	C₂²	semidirect
93. C₅₉×#462	C₂²	semidirect
94. C₅₉×#462	C₂²	semidirect
99. C₅₉×#460	C₂²	semidirect
102. C₅₉×#459	C₂²	semidirect
103. C₅₉×#459	C₂²	semidirect
104. C₅₉×#452	C₂²	semidirect
105. C₅₉×#452	C₂²	semidirect
108. C₅₉×#449	C₂²	semidirect
109. C₅₉×#449	C₂²	semidirect
110. C₅₉×#449	C₂²	semidirect
112. C₅₉×#448	C₂²	semidirect
114. C₅₉×#446	C₂²	semidirect
115. C₈×Q₈×C₅₉	C₂²	semidirect
116. C₅₉×#442	C₂²	semidirect
117. C₅₉×#441	C₂²	semidirect
120. C₄×SD₁₆×C₅₉	C₂²	semidirect
121. C₄×SD₁₆×C₅₉	C₂²	semidirect
122. C₄×SD₁₆×C₅₉	C₂²	semidirect
123. C₄×SD₁₆×C₅₉	C₂²	semidirect
125. C₅₉×#436	C₂²	semidirect
126. C₅₉×#435	C₂²	semidirect
128. C₅₉×#433	C₂²	semidirect
129. C₅₉×#431	C₂²	semidirect
130. C₅₉×#424	C₂²	semidirect
131. C₅₉×#423	C₂²	semidirect
132. C₅₉×#417	C₂²	semidirect
133. C₅₉×#417	C₂²	semidirect
547. #62045	C₅₉	direct (N × H)
586. #3546	C₂×C₅₉	semidirect
587. #3522	C₂×C₅₉	semidirect
588. #3399	C₂×C₅₉	semidirect
589. #3394	C₂×C₅₉	semidirect
590. #3369	C₂×C₅₉	semidirect
591. #3362	C₂×C₅₉	semidirect
592. #3332	C₂×C₅₉	semidirect
593. #3331	C₂×C₅₉	semidirect
594. #3306	C₂×C₅₉	semidirect
595. #3295	C₂×C₅₉	semidirect
596. #3284	C₂×C₅₉	semidirect
597. #3275	C₂×C₅₉	semidirect
598. #3274	C₂×C₅₉	semidirect
599. #3271	C₂×C₅₉	semidirect
600. #3263	C₂×C₅₉	semidirect
601. #3253	C₂×C₅₉	semidirect
602. #3224	C₂×C₅₉	semidirect
603. #3207	C₂×C₅₉	semidirect
604. #3125	C₂×C₅₉	semidirect
605. #3103	C₂×C₅₉	semidirect
606. #3045	C₂×C₅₉	semidirect
607. #3037	C₂×C₅₉	semidirect
608. #2993	C₂×C₅₉	semidirect
618. C₂×#137	C₂²×C₅₉	semidirect
620. C₂×#135	C₂²×C₅₉	semidirect
623. #559	C₂²×C₅₉	semidirect
624. Q₈²	C₂²×C₅₉	semidirect
632. #548	C₂²×C₅₉	semidirect
635. #547	C₂²×C₅₉	semidirect
641. #542	C₂²×C₅₉	semidirect
649. #532	C₂²×C₅₉	semidirect
652. #520	C₂²×C₅₉	semidirect
653. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
654. #496	C₂²×C₅₉	semidirect
657. #492	C₂²×C₅₉	semidirect
659. #487	C₂²×C₅₉	semidirect
661. #486	C₂²×C₅₉	semidirect
662. #483	C₂²×C₅₉	semidirect
665. #481	C₂²×C₅₉	semidirect
667. #476	C₂²×C₅₉	semidirect
668. #476	C₂²×C₅₉	semidirect
669. #476	C₂²×C₅₉	semidirect
670. #475	C₂²×C₅₉	semidirect
671. #475	C₂²×C₅₉	semidirect
672. #475	C₂²×C₅₉	semidirect
673. #470	C₂²×C₅₉	semidirect
676. #469	C₂²×C₅₉	semidirect
678. #465	C₂²×C₅₉	semidirect
680. #464	C₂²×C₅₉	semidirect
681. #464	C₂²×C₅₉	semidirect
682. #464	C₂²×C₅₉	semidirect
684. #463	C₂²×C₅₉	semidirect
685. #463	C₂²×C₅₉	semidirect
686. #463	C₂²×C₅₉	semidirect
687. #462	C₂²×C₅₉	semidirect
688. #462	C₂²×C₅₉	semidirect
693. #460	C₂²×C₅₉	semidirect
696. #459	C₂²×C₅₉	semidirect
697. #459	C₂²×C₅₉	semidirect
698. #452	C₂²×C₅₉	semidirect
699. #452	C₂²×C₅₉	semidirect
702. #449	C₂²×C₅₉	semidirect
703. #449	C₂²×C₅₉	semidirect
704. #449	C₂²×C₅₉	semidirect
706. #448	C₂²×C₅₉	semidirect
708. #446	C₂²×C₅₉	semidirect
709. C₈×Q₈	C₂²×C₅₉	semidirect
710. #442	C₂²×C₅₉	semidirect
711. #441	C₂²×C₅₉	semidirect
714. C₄×SD₁₆	C₂²×C₅₉	semidirect
715. C₄×SD₁₆	C₂²×C₅₉	semidirect
716. C₄×SD₁₆	C₂²×C₅₉	semidirect
717. C₄×SD₁₆	C₂²×C₅₉	semidirect
719. #436	C₂²×C₅₉	semidirect
720. #435	C₂²×C₅₉	semidirect
722. #433	C₂²×C₅₉	semidirect
723. #431	C₂²×C₅₉	semidirect
724. #424	C₂²×C₅₉	semidirect
725. #423	C₂²×C₅₉	semidirect
726. #417	C₂²×C₅₉	semidirect
727. #417	C₂²×C₅₉	semidirect
729. C₅₉	#62045	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₉×#3546	2
C₅₉×#3522	2
C₅₉×#3399	2
C₅₉×#3394	2
C₅₉×#3369	2
C₅₉×#3362	2
C₅₉×#3332	2
C₅₉×#3331	2
C₅₉×#3306	2
C₅₉×#3295	2
C₅₉×#3284	2
C₅₉×#3275	2
C₅₉×#3274	2
C₅₉×#3271	2
C₅₉×#3263	2
C₅₉×#3253	2
C₅₉×#3224	2
C₅₉×#3207	2
C₅₉×#3125	2
C₅₉×#3103	2
C₅₉×#3045	2
C₅₉×#3037	2
C₅₉×#2993	2
#62045	59

Subgroups — C59×#62045 #28474154

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62045 #28474154