Subgroups — C₅₉×#62816 #28474925

Order 15104.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3524	C₂	1	2	yes	maximal, complemented
2	C₅₉×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3522	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3521	C₂	1	6	yes	maximal, complemented
5	C₅₉×#3520	C₂	1	3	yes	maximal, complemented
6	C₅₉×#3519	C₂	1	3	yes	maximal, complemented
7	C₅₉×#3518	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3517	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3516	C₂	1	2	yes	maximal, complemented
10	C₅₉×#3515	C₂	1	3	yes	maximal, complemented
11	C₅₉×#3514	C₂	1	3	yes	maximal, complemented
12	C₅₉×#3513	C₂	1	6	yes	maximal, complemented
13	C₅₉×#3480	C₂	1	3	yes	maximal, complemented
14	Q₈×#41×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3475	C₂	1	6	yes	maximal, complemented
16	C₅₉×#3475	C₂	1	3	yes	maximal, complemented
17	D₄×#41×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
18	D₄×#41×C₅₉	C₂	1	2	yes	maximal, complemented
19	C₅₉×#3455	C₂	1	6	yes	maximal, complemented
20	C₅₉×#3444	C₂	1	3	yes	maximal, complemented
21	C₂×C₅₉×#529	C₂	1	3	yes	maximal, complemented
22	C₅₉×#3428	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×#41×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₅₉	C₂²	1	2	yes	—
26	C₅₉×#559	C₂²	1	6	yes	complemented
27	C₅₉×#559	C₂²	1	3	yes	complemented
28	Q₈²×C₅₉	C₂²	1	1	yes	characteristic, complemented
29	C₅₉×#557	C₂²	1	3	yes	complemented
30	C₅₉×#557	C₂²	1	2	yes	complemented
31	C₅₉×#557	C₂²	1	1	yes	characteristic, complemented
32	C₅₉×#556	C₂²	1	3	yes	complemented
33	C₅₉×#556	C₂²	1	6	yes	complemented
34	C₅₉×#556	C₂²	1	3	yes	complemented
35	C₅₉×#556	C₂²	1	6	yes	complemented
36	C₅₉×#555	C₂²	1	6	yes	complemented
37	C₅₉×#555	C₂²	1	3	yes	complemented
38	C₅₉×#554	C₂²	1	6	yes	complemented
39	C₅₉×#554	C₂²	1	3	yes	complemented
40	C₅₉×#554	C₂²	1	3	yes	complemented
41	C₅₉×#554	C₂²	1	6	yes	complemented
42	C₅₉×#553	C₂²	1	12	yes	complemented
43	C₅₉×#553	C₂²	1	6	yes	complemented
44	C₅₉×#553	C₂²	1	6	yes	complemented
45	C₅₉×#553	C₂²	1	6	yes	complemented
46	C₅₉×#553	C₂²	1	6	yes	complemented
47	C₅₉×#552	C₂²	1	6	yes	complemented
48	C₅₉×#552	C₂²	1	6	yes	complemented
49	C₅₉×#552	C₂²	1	12	yes	complemented
50	C₅₉×#552	C₂²	1	6	yes	complemented
51	C₅₉×#552	C₂²	1	6	yes	complemented
52	C₅₉×#551	C₂²	1	12	yes	complemented
53	C₅₉×#551	C₂²	1	12	yes	complemented
54	C₅₉×#551	C₂²	1	12	yes	complemented
55	C₅₉×#550	C₂²	1	3	yes	complemented
56	C₅₉×#550	C₂²	1	1	yes	characteristic, complemented
57	C₅₉×#550	C₂²	1	2	yes	complemented
58	D₄×Q₈×C₅₉	C₂²	1	3	yes	complemented
59	D₄×Q₈×C₅₉	C₂²	1	2	yes	complemented
60	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
61	C₅₉×#548	C₂²	1	6	yes	complemented
62	C₅₉×#548	C₂²	1	2	yes	complemented
63	C₅₉×#548	C₂²	1	2	yes	complemented
64	C₅₉×#548	C₂²	1	2	yes	complemented
65	C₅₉×#547	C₂²	1	6	yes	complemented
66	C₅₉×#547	C₂²	1	3	yes	complemented
67	C₅₉×#547	C₂²	1	6	yes	complemented
68	C₅₉×#547	C₂²	1	3	yes	complemented
69	C₅₉×#546	C₂²	1	12	yes	complemented
70	C₅₉×#546	C₂²	1	6	yes	complemented
71	C₅₉×#546	C₂²	1	6	yes	complemented
72	C₅₉×#546	C₂²	1	6	yes	complemented
73	C₅₉×#546	C₂²	1	6	yes	complemented
74	D₄²×C₅₉	C₂²	1	6	yes	complemented
75	D₄²×C₅₉	C₂²	1	3	yes	complemented
76	C₅₉×#542	C₂²	1	6	yes	complemented
77	C₅₉×#542	C₂²	1	6	yes	complemented
78	C₅₉×#542	C₂²	1	6	yes	complemented
79	C₅₉×#542	C₂²	1	6	yes	complemented
80	C₅₉×#541	C₂²	1	6	yes	complemented
81	C₅₉×#541	C₂²	1	6	yes	complemented
82	C₅₉×#540	C₂²	1	6	yes	complemented
83	C₅₉×#540	C₂²	1	6	yes	complemented
84	C₅₉×#539	C₂²	1	12	yes	complemented
85	C₅₉×#539	C₂²	1	12	yes	complemented
86	C₅₉×#538	C₂²	1	12	yes	complemented
87	C₅₉×#538	C₂²	1	12	yes	complemented
88	C₅₉×#533	C₂²	1	3	yes	complemented
89	C₅₉×#533	C₂²	1	3	yes	complemented
90	C₅₉×#533	C₂²	1	3	yes	complemented
91	C₅₉×#533	C₂²	1	6	yes	complemented
92	C₅₉×#532	C₂²	1	3	yes	complemented
93	C₅₉×#532	C₂²	1	3	yes	complemented
94	C₅₉×#532	C₂²	1	3	yes	complemented
95	C₅₉×#532	C₂²	1	6	yes	complemented
96	C₅₉×#529	C₂²	1	3	yes	—
97	C₅₉×#529	C₂²	1	1	yes	characteristic
98	C₅₉×#529	C₂²	1	6	yes	complemented
99	C₅₉×#529	C₂²	1	6	yes	complemented
100	C₅₉×#529	C₂²	1	6	yes	complemented
101	C₅₉×#529	C₂²	1	3	yes	complemented
102	C₅₉×#529	C₂²	1	3	yes	complemented
103	C₅₉×#529	C₂²	1	3	yes	complemented
104	C₅₉×#529	C₂²	1	6	yes	complemented
105	C₅₉×#529	C₂²	1	6	yes	complemented
106	C₅₉×#529	C₂²	1	6	yes	complemented
107	C₅₉×#529	C₂²	1	3	yes	complemented
108	C₅₉×#529	C₂²	1	6	yes	complemented
109	C₅₉×#529	C₂²	1	6	yes	complemented
110	C₅₉×#529	C₂²	1	3	yes	complemented
111	C₅₉×#529	C₂²	1	3	yes	complemented
112	C₅₉×#529	C₂²	1	6	yes	complemented
113	C₅₉×#529	C₂²	1	12	yes	complemented
114	C₅₉×#529	C₂²	1	12	yes	complemented
115	C₂×#126×C₅₉	C₂²	1	6	yes	complemented
116	C₂×#125×C₅₉	C₂²	1	3	yes	complemented
117	C₂×#124×C₅₉	C₂²	1	3	yes	complemented
118	C₅₉×#525	C₂²	1	6	yes	complemented
119	C₅₉×#525	C₂²	1	6	yes	complemented
120	C₅₉×#525	C₂²	1	6	yes	complemented
121	C₅₉×#525	C₂²	1	6	yes	complemented
122	C₅₉×#525	C₂²	1	6	yes	complemented
123	C₂×#123×C₅₉	C₂²	1	6	yes	complemented
124	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	3	yes	complemented
125	C₂×#121×C₅₉	C₂²	1	3	yes	—
126	C₅₉×#520	C₂²	1	6	yes	complemented
127	C₅₉×#520	C₂²	1	2	yes	complemented
128	C₅₉×#520	C₂²	1	6	yes	complemented
129	C₅₉×#520	C₂²	1	2	yes	complemented
130	C₅₉×#519	C₂²	1	2	yes	complemented
131	C₅₉×#519	C₂²	1	2	yes	complemented
132	C₅₉×#518	C₂²	1	6	yes	complemented
133	C₅₉×#518	C₂²	1	6	yes	complemented
134	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
135	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
136	C₄×#41×C₅₉	C₂²	1	2	yes	—
137	C₄×#41×C₅₉	C₂²	1	3	yes	complemented
138	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
139	C₄×#41×C₅₉	C₂²	1	3	yes	complemented
140	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
141	C₄×#41×C₅₉	C₂²	1	3	yes	complemented
142	C₄×#41×C₅₉	C₂²	1	3	yes	complemented
143	C₄×#41×C₅₉	C₂²	1	6	yes	complemented
144	C₄×#41×C₅₉	C₂²	1	6	yes	complemented
145	C₄×#41×C₅₉	C₂²	1	6	yes	complemented
146	C₄×#41×C₅₉	C₂²	1	6	yes	complemented
147	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄×Q₈×C₅₉	C₂²	1	3	yes	complemented
150	C₂×C₄×D₄×C₅₉	C₂²	1	3	yes	complemented
151	C₂×C₄×D₄×C₅₉	C₂²	1	3	yes	complemented
152	C₂×C₄×D₄×C₅₉	C₂²	1	3	yes	complemented
153	C₂×C₄×D₄×C₅₉	C₂²	1	6	yes	complemented
154	C₂×#117×C₅₉	C₂²	1	3	yes	complemented
155	C₂×#117×C₅₉	C₂²	1	6	yes	complemented
156	C₂×#117×C₅₉	C₂²	1	6	yes	complemented
157	C₂²×C₄²×C₅₉	C₂²	1	3	yes	complemented
158	C₂×#41×C₅₉	—	2	8	no	—
159	C₂×#41×C₅₉	—	2	16	no	—
160	C₂×#41×C₅₉	C₂³	1	3	yes	—
161	C₂×#41×C₅₉	C₂³	1	6	yes	—
162	C₂×#41×C₅₉	C₂³	1	3	yes	—
163	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
164	C₂×#41×C₅₉	C₂³	1	6	yes	—
165	C₂×#41×C₅₉	C₂³	1	2	yes	—
166	C₂×#41×C₅₉	C₂³	1	6	yes	—
167	C₂×#41×C₅₉	C₂³	1	6	yes	—
168	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
169	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
170	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
171	C₂²×Q₈×C₅₉	C₂³	1	3	yes	—
172	C₂²×D₄×C₅₉	C₂³	1	3	yes	—
173	C₂²×D₄×C₅₉	C₂³	1	6	yes	—
174	C₂²×D₄×C₅₉	C₂³	1	6	yes	—
175	C₂²×D₄×C₅₉	C₂³	1	3	yes	—
176	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
177	C₂³×C₄×C₅₉	C₂³	1	6	yes	—
178	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
179	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
180	C₄⋊Q₈×C₅₉	C₂³	1	3	yes	—
181	C₄⋊Q₈×C₅₉	C₂³	1	3	yes	—
182	C₄⋊Q₈×C₅₉	C₂³	1	3	yes	—
183	C₄⋊Q₈×C₅₉	C₂³	1	6	yes	—
184	C₄⋊Q₈×C₅₉	C₂³	1	6	yes	—
185	C₄⋊Q₈×C₅₉	C₂³	1	6	yes	—
186	#127×C₅₉	C₂³	1	3	yes	—
187	#127×C₅₉	C₂³	1	6	yes	—
188	#126×C₅₉	C₂³	1	2	yes	—
189	#126×C₅₉	C₂³	1	6	yes	—
190	#126×C₅₉	C₂³	1	6	yes	—
191	#126×C₅₉	C₂³	1	6	yes	—
192	#126×C₅₉	C₂³	1	6	yes	—
193	#126×C₅₉	C₂³	1	6	yes	—
194	#126×C₅₉	C₂³	1	6	yes	—
195	#126×C₅₉	C₂³	1	6	yes	—
196	#126×C₅₉	C₂³	1	12	yes	—
197	#126×C₅₉	C₂³	1	12	yes	—
198	#126×C₅₉	C₂³	1	12	yes	—
199	#126×C₅₉	C₂³	1	12	yes	—
200	#126×C₅₉	C₂³	1	12	yes	—
201	#125×C₅₉	C₂³	1	1	yes	characteristic
202	#125×C₅₉	C₂³	1	3	yes	—
203	#125×C₅₉	C₂³	1	3	yes	—
204	#125×C₅₉	C₂³	1	6	yes	—
205	#125×C₅₉	C₂³	1	6	yes	—
206	#125×C₅₉	C₂³	1	3	yes	—
207	#125×C₅₉	C₂³	1	6	yes	—
208	#125×C₅₉	C₂³	1	6	yes	—
209	#125×C₅₉	C₂³	1	12	yes	—
210	#125×C₅₉	C₂³	1	12	yes	—
211	#125×C₅₉	C₂³	1	6	yes	—
212	#125×C₅₉	C₂³	1	6	yes	—
213	#124×C₅₉	C₂³	1	1	yes	characteristic
214	#124×C₅₉	C₂³	1	3	yes	—
215	#124×C₅₉	C₂³	1	3	yes	—
216	#124×C₅₉	C₂³	1	6	yes	—
217	#124×C₅₉	C₂³	1	3	yes	—
218	#124×C₅₉	C₂³	1	6	yes	—
219	#124×C₅₉	C₂³	1	6	yes	—
220	#124×C₅₉	C₂³	1	6	yes	—
221	#124×C₅₉	C₂³	1	12	yes	—
222	#124×C₅₉	C₂³	1	12	yes	—
223	#124×C₅₉	C₂³	1	6	yes	—
224	#124×C₅₉	C₂³	1	6	yes	—
225	#123×C₅₉	C₂³	1	2	yes	—
226	#123×C₅₉	C₂³	1	6	yes	—
227	#123×C₅₉	C₂³	1	6	yes	—
228	#123×C₅₉	C₂³	1	6	yes	—
229	#123×C₅₉	C₂³	1	6	yes	—
230	#123×C₅₉	C₂³	1	6	yes	—
231	#123×C₅₉	C₂³	1	6	yes	—
232	#123×C₅₉	C₂³	1	6	yes	—
233	#123×C₅₉	C₂³	1	12	yes	—
234	#123×C₅₉	C₂³	1	12	yes	—
235	#123×C₅₉	C₂³	1	12	yes	—
236	#123×C₅₉	C₂³	1	12	yes	—
237	#123×C₅₉	C₂³	1	12	yes	—
238	#123×C₅₉	C₂³	1	12	yes	—
239	#123×C₅₉	C₂³	1	12	yes	—
240	#123×C₅₉	C₂³	1	12	yes	—
241	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
242	C₂²⋊Q₈×C₅₉	C₂³	1	3	yes	—
243	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
244	C₂²⋊Q₈×C₅₉	C₂³	1	3	yes	—
245	C₂²⋊Q₈×C₅₉	C₂³	1	3	yes	—
246	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
247	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
248	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
249	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
250	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
251	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
252	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
253	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
254	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
255	C₂²⋊Q₈×C₅₉	C₂³	1	6	yes	—
256	C₂²⋊Q₈×C₅₉	C₂³	1	12	yes	—
257	C₂²⋊Q₈×C₅₉	C₂³	1	12	yes	—
258	C₂²⋊Q₈×C₅₉	C₂³	1	12	yes	—
259	C₂²⋊Q₈×C₅₉	C₂³	1	12	yes	—
260	#121×C₅₉	C₂³	1	1	yes	characteristic
261	#121×C₅₉	C₂³	1	3	yes	—
262	#121×C₅₉	C₂³	1	6	yes	—
263	#121×C₅₉	C₂³	1	6	yes	—
264	#121×C₅₉	C₂³	1	3	yes	—
265	#121×C₅₉	C₂³	1	3	yes	—
266	#121×C₅₉	C₂³	1	6	yes	—
267	#121×C₅₉	C₂³	1	6	yes	—
268	#121×C₅₉	C₂³	1	6	yes	—
269	#121×C₅₉	C₂³	1	6	yes	—
270	#121×C₅₉	C₂³	1	6	yes	—
271	#121×C₅₉	C₂³	1	6	yes	—
272	#121×C₅₉	C₂³	1	6	yes	—
273	#121×C₅₉	C₂³	1	6	yes	—
274	#121×C₅₉	C₂³	1	6	yes	—
275	#121×C₅₉	C₂³	1	12	yes	—
276	#121×C₅₉	C₂³	1	12	yes	—
277	#121×C₅₉	C₂³	1	12	yes	—
278	#121×C₅₉	C₂³	1	12	yes	—
279	#120×C₅₉	C₂³	1	12	yes	—
280	#120×C₅₉	C₂³	1	12	yes	—
281	#120×C₅₉	C₂³	1	12	yes	—
282	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
283	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
287	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
288	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
289	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
290	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
291	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
292	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
293	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
294	C₄×Q₈×C₅₉	C₂³	1	3	yes	—
295	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
296	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
297	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
298	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
299	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
300	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
301	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
302	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
303	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
304	C₄×Q₈×C₅₉	C₂³	1	6	yes	—
305	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
306	C₄×D₄×C₅₉	C₂³	1	2	yes	—
307	C₄×D₄×C₅₉	C₂³	1	3	yes	—
308	C₄×D₄×C₅₉	C₂³	1	3	yes	—
309	C₄×D₄×C₅₉	C₂³	1	3	yes	—
310	C₄×D₄×C₅₉	C₂³	1	3	yes	—
311	C₄×D₄×C₅₉	C₂³	1	6	yes	—
312	C₄×D₄×C₅₉	C₂³	1	3	yes	—
313	C₄×D₄×C₅₉	C₂³	1	6	yes	—
314	C₄×D₄×C₅₉	C₂³	1	6	yes	—
315	C₄×D₄×C₅₉	C₂³	1	3	yes	—
316	C₄×D₄×C₅₉	C₂³	1	3	yes	—
317	C₄×D₄×C₅₉	C₂³	1	6	yes	—
318	C₄×D₄×C₅₉	C₂³	1	3	yes	—
319	C₄×D₄×C₅₉	C₂³	1	6	yes	—
320	C₄×D₄×C₅₉	C₂³	1	3	yes	—
321	C₄×D₄×C₅₉	C₂³	1	6	yes	—
322	C₄×D₄×C₅₉	C₂³	1	6	yes	—
323	C₄×D₄×C₅₉	C₂³	1	6	yes	—
324	C₄×D₄×C₅₉	C₂³	1	3	yes	—
325	C₄×D₄×C₅₉	C₂³	1	6	yes	—
326	C₄×D₄×C₅₉	C₂³	1	6	yes	—
327	C₄×D₄×C₅₉	C₂³	1	6	yes	—
328	C₄×D₄×C₅₉	C₂³	1	6	yes	—
329	C₄×D₄×C₅₉	C₂³	1	3	yes	—
330	C₄×D₄×C₅₉	C₂³	1	6	yes	—
331	C₄×D₄×C₅₉	C₂³	1	6	yes	—
332	C₄×D₄×C₅₉	C₂³	1	6	yes	—
333	C₄×D₄×C₅₉	C₂³	1	12	yes	—
334	C₄×D₄×C₅₉	C₂³	1	12	yes	—
335	C₄×D₄×C₅₉	C₂³	1	6	yes	—
336	C₄×D₄×C₅₉	C₂³	1	6	yes	—
337	C₄×D₄×C₅₉	C₂³	1	12	yes	—
338	C₄×D₄×C₅₉	C₂³	1	6	yes	—
339	C₄×D₄×C₅₉	C₂³	1	12	yes	—
340	C₄×D₄×C₅₉	C₂³	1	6	yes	—
341	C₄×D₄×C₅₉	C₂³	1	6	yes	—
342	C₄×D₄×C₅₉	C₂³	1	12	yes	—
343	C₄×D₄×C₅₉	C₂³	1	12	yes	—
344	C₄×D₄×C₅₉	C₂³	1	12	yes	—
345	C₄×D₄×C₅₉	C₂³	1	6	yes	—
346	C₄×D₄×C₅₉	C₂³	1	6	yes	—
347	#117×C₅₉	C₂³	1	3	yes	—
348	#117×C₅₉	C₂³	1	2	yes	—
349	#117×C₅₉	C₂³	1	6	yes	—
350	#117×C₅₉	C₂³	1	3	yes	—
351	#117×C₅₉	C₂³	1	6	yes	—
352	#117×C₅₉	C₂³	1	6	yes	—
353	#117×C₅₉	C₂³	1	6	yes	—
354	#117×C₅₉	C₂³	1	6	yes	—
355	#117×C₅₉	C₂³	1	6	yes	—
356	#117×C₅₉	C₂³	1	3	yes	—
357	#117×C₅₉	C₂³	1	3	yes	—
358	#117×C₅₉	C₂³	1	6	yes	—
359	#117×C₅₉	C₂³	1	6	yes	—
360	#117×C₅₉	C₂³	1	6	yes	—
361	#117×C₅₉	C₂³	1	6	yes	—
362	#117×C₅₉	C₂³	1	6	yes	—
363	#117×C₅₉	C₂³	1	6	yes	—
364	#117×C₅₉	C₂³	1	12	yes	—
365	#117×C₅₉	C₂³	1	6	yes	—
366	#117×C₅₉	C₂³	1	6	yes	—
367	#117×C₅₉	C₂³	1	12	yes	—
368	#117×C₅₉	C₂³	1	12	yes	—
369	C₂×C₄⋊C₄×C₅₉	C₂³	1	3	yes	—
370	C₂×C₄⋊C₄×C₅₉	C₂³	1	3	yes	—
371	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
372	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
373	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
374	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
375	C₂×C₄⋊C₄×C₅₉	C₂³	1	3	yes	—
376	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
377	C₂×C₄⋊C₄×C₅₉	C₂³	1	3	yes	—
378	C₂×C₄⋊C₄×C₅₉	C₂³	1	6	yes	—
379	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
380	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
381	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
382	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
383	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
384	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
385	C₂×C₂²⋊C₄×C₅₉	C₂³	1	6	yes	—
386	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
387	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
388	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
389	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
390	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
391	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
392	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
393	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
394	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
395	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
396	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
397	C₂×C₄²×C₅₉	C₂³	1	3	yes	—
398	C₂×C₄²×C₅₉	C₂³	1	6	yes	—
399	C₂×C₄²×C₅₉	C₂³	1	12	yes	—
400	C₂⁴×C₅₉	C₂⁴	1	3	yes	—
401	C₂⁴×C₅₉	C₂⁴	1	6	yes	—
402	#41×C₅₉	—	2	4	no	—
403	#41×C₅₉	—	2	8	no	—
404	#41×C₅₉	—	2	12	no	—
405	#41×C₅₉	—	2	24	no	—
406	#41×C₅₉	—	2	12	no	—
407	#41×C₅₉	—	2	24	no	—
408	#41×C₅₉	—	4	12	no	—
409	#41×C₅₉	—	4	12	no	—
410	#41×C₅₉	#41	1	8	yes	complemented
411	C₂×Q₈×C₅₉	—	2	4	no	—
412	C₂×Q₈×C₅₉	—	2	8	no	—
413	C₂×Q₈×C₅₉	—	4	6	no	—
414	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
415	C₂×Q₈×C₅₉	C₂⁴	1	3	yes	—
416	C₂×Q₈×C₅₉	C₂⁴	1	6	yes	—
417	C₂×Q₈×C₅₉	C₂⁴	1	3	yes	—
418	C₂×Q₈×C₅₉	C₂⁴	1	6	yes	—
419	C₂×Q₈×C₅₉	C₂⁴	1	6	yes	—
420	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
421	C₂×D₄×C₅₉	—	2	12	no	—
422	C₂×D₄×C₅₉	—	2	24	no	—
423	C₂×D₄×C₅₉	—	4	6	no	—
424	C₂×D₄×C₅₉	—	4	12	no	—
425	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
426	C₂×D₄×C₅₉	C₂⁴	1	12	yes	—
427	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
428	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
429	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
430	C₂×D₄×C₅₉	C₂⁴	1	3	yes	—
431	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
432	C₂×D₄×C₅₉	C₂⁴	1	3	yes	—
433	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
434	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
435	C₂×D₄×C₅₉	C₂⁴	1	12	yes	—
436	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
437	C₂×D₄×C₅₉	C₂⁴	1	6	yes	—
438	C₂×D₄×C₅₉	C₂⁴	1	3	yes	—
439	C₂²×C₄×C₅₉	—	2	12	no	—
440	C₂²×C₄×C₅₉	—	2	24	no	—
441	C₂²×C₄×C₅₉	—	4	6	no	—
442	C₂²×C₄×C₅₉	—	4	6	no	—
443	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
446	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
447	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
448	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
449	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
450	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
451	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
452	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
453	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
454	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
456	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
457	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
458	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
459	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
460	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
462	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
463	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
464	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
465	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
466	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
467	C₂²×C₄×C₅₉	C₂⁴	1	12	yes	—
468	C₂²×C₄×C₅₉	C₂⁴	1	12	yes	—
469	C₂²×C₄×C₅₉	C₂⁴	1	3	yes	—
470	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
471	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
472	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
473	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
474	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
475	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
476	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
477	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
478	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
479	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
480	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
481	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
482	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
483	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
484	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
485	C₄⋊C₄×C₅₉	C₂⁴	1	3	yes	—
486	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
487	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
488	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
489	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
490	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
491	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
492	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
493	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
494	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
495	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
496	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
497	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
498	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
499	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
500	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
501	C₄⋊C₄×C₅₉	C₂⁴	1	6	yes	—
502	C₄⋊C₄×C₅₉	C₂⁴	1	12	yes	—
503	C₄⋊C₄×C₅₉	C₂⁴	1	12	yes	—
504	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
505	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
506	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
507	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
508	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
509	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
510	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
511	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
512	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
513	C₂²⋊C₄×C₅₉	C₂⁴	1	12	yes	—
514	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
516	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
517	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
518	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
519	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
520	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
521	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
522	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
523	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
524	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
525	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
526	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
527	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
528	C₂²⋊C₄×C₅₉	C₂⁴	1	6	yes	—
529	C₂²⋊C₄×C₅₉	C₂⁴	1	12	yes	—
530	C₂²⋊C₄×C₅₉	C₂⁴	1	12	yes	—
531	C₂²⋊C₄×C₅₉	C₂⁴	1	12	yes	—
532	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
533	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
534	C₄²×C₅₉	C₂⁴	1	3	yes	—
535	C₄²×C₅₉	C₂⁴	1	3	yes	—
536	C₄²×C₅₉	C₂⁴	1	3	yes	—
537	C₄²×C₅₉	C₂⁴	1	3	yes	—
538	C₄²×C₅₉	C₂⁴	1	3	yes	—
539	C₄²×C₅₉	C₂⁴	1	3	yes	—
540	C₄²×C₅₉	C₂⁴	1	3	yes	—
541	C₄²×C₅₉	C₂⁴	1	3	yes	—
542	C₄²×C₅₉	C₂⁴	1	3	yes	—
543	C₄²×C₅₉	C₂⁴	1	3	yes	—
544	C₄²×C₅₉	C₂⁴	1	12	yes	—
545	C₄²×C₅₉	C₂⁴	1	12	yes	—
546	C₄²×C₅₉	C₂⁴	1	6	yes	—
547	C₄²×C₅₉	C₂⁴	1	6	yes	—
548	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
549	C₄²×C₅₉	C₂⁴	1	3	yes	—
550	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
551	C₄²×C₅₉	C₂⁴	1	2	yes	—
552	C₄²×C₅₉	C₂⁴	1	3	yes	—
553	C₄²×C₅₉	C₂⁴	1	6	yes	—
554	C₂³×C₅₉	—	2	6	no	—
555	C₂³×C₅₉	—	2	6	no	—
556	C₂³×C₅₉	—	2	12	no	—
557	C₂³×C₅₉	—	4	3	no	—
558	C₂³×C₅₉	—	4	6	no	—
559	C₂³×C₅₉	—	4	6	no	—
560	C₂³×C₅₉	C₂⁵	1	2	yes	—
561	C₂³×C₅₉	C₂⁵	1	3	yes	—
562	C₂³×C₅₉	C₂⁵	1	6	yes	—
563	C₂³×C₅₉	C₂⁵	1	3	yes	—
564	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
565	Q₈×C₅₉	—	2	6	no	—
566	Q₈×C₅₉	—	2	12	no	—
567	Q₈×C₅₉	—	2	2	no	—
568	Q₈×C₅₉	—	2	6	no	—
569	Q₈×C₅₉	—	4	6	no	—
570	Q₈×C₅₉	—	4	6	no	—
571	Q₈×C₅₉	C₂×#41	1	4	yes	—
572	D₄×C₅₉	—	2	12	no	—
573	D₄×C₅₉	—	2	24	no	—
574	D₄×C₅₉	—	2	4	no	—
575	D₄×C₅₉	—	2	12	no	—
576	D₄×C₅₉	—	2	6	no	—
577	D₄×C₅₉	—	2	12	no	—
578	D₄×C₅₉	—	2	2	no	—
579	D₄×C₅₉	—	2	6	no	—
580	D₄×C₅₉	—	4	6	no	—
581	D₄×C₅₉	—	4	6	no	—
582	D₄×C₅₉	—	4	6	no	—
583	D₄×C₅₉	—	4	6	no	—
584	D₄×C₅₉	—	4	12	no	—
585	D₄×C₅₉	C₂×#41	1	12	yes	—
586	C₂×C₄×C₅₉	—	2	6	no	—
587	C₂×C₄×C₅₉	—	2	12	no	—
588	C₂×C₄×C₅₉	—	2	2	no	—
589	C₂×C₄×C₅₉	—	2	6	no	—
590	C₂×C₄×C₅₉	—	2	2	no	—
591	C₂×C₄×C₅₉	—	2	4	no	—
592	C₂×C₄×C₅₉	—	2	6	no	—
593	C₂×C₄×C₅₉	—	2	12	no	—
594	C₂×C₄×C₅₉	—	2	6	no	—
595	C₂×C₄×C₅₉	—	2	12	no	—
596	C₂×C₄×C₅₉	—	2	6	no	—
597	C₂×C₄×C₅₉	—	2	12	no	—
598	C₂×C₄×C₅₉	—	2	2	no	—
599	C₂×C₄×C₅₉	—	2	6	no	—
600	C₂×C₄×C₅₉	—	2	6	no	—
601	C₂×C₄×C₅₉	—	4	3	no	—
602	C₂×C₄×C₅₉	—	4	3	no	—
603	C₂×C₄×C₅₉	—	4	3	no	—
604	C₂×C₄×C₅₉	—	4	3	no	—
605	C₂×C₄×C₅₉	—	4	3	no	—
606	C₂×C₄×C₅₉	—	4	3	no	—
607	C₂×C₄×C₅₉	—	4	3	no	—
608	C₂×C₄×C₅₉	—	4	6	no	—
609	C₂×C₄×C₅₉	—	4	6	no	—
610	C₂×C₄×C₅₉	—	4	12	no	—
611	C₂×C₄×C₅₉	—	4	12	no	—
612	C₂×C₄×C₅₉	C₂×#41	1	12	yes	—
613	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
614	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
615	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
616	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
617	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
618	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
619	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
620	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
621	C₂×C₄×C₅₉	C₂⁵	1	6	yes	—
622	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
623	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
624	C₂×C₄×C₅₉	C₂⁵	1	6	yes	—
625	C₂×C₄×C₅₉	C₂⁵	1	6	yes	—
626	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
627	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
628	C₂×C₄×C₅₉	C₂⁵	1	3	yes	—
629	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
630	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
631	#62816	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
632	C₂²×C₅₉	—	2	1	no	—
633	C₂²×C₅₉	—	2	1	no	—
634	C₂²×C₅₉	—	2	3	no	—
635	C₂²×C₅₉	—	2	3	no	—
636	C₂²×C₅₉	—	2	2	no	—
637	C₂²×C₅₉	—	2	3	no	—
638	C₂²×C₅₉	—	2	6	no	—
639	C₂²×C₅₉	—	2	3	no	—
640	C₂²×C₅₉	—	2	6	no	—
641	C₂²×C₅₉	—	2	6	no	—
642	C₂²×C₅₉	—	2	3	no	—
643	C₂²×C₅₉	—	2	2	no	—
644	C₂²×C₅₉	—	2	2	no	—
645	C₂²×C₅₉	—	4	12	no	—
646	C₂²×C₅₉	—	8	12	no	—
647	C₂²×C₅₉	C₂²×#41	1	6	yes	—
648	C₂²×C₅₉	#585	1	2	yes	—
649	C₂²×C₅₉	C₂⁶	1	1	yes	characteristic
650	C₄×C₅₉	—	2	1	no	—
651	C₄×C₅₉	—	2	2	no	—
652	C₄×C₅₉	—	2	3	no	—
653	C₄×C₅₉	—	2	6	no	—
654	C₄×C₅₉	—	2	1	no	—
655	C₄×C₅₉	—	2	1	no	—
656	C₄×C₅₉	—	2	3	no	—
657	C₄×C₅₉	—	2	1	no	—
658	C₄×C₅₉	—	2	3	no	—
659	C₄×C₅₉	—	2	3	no	—
660	C₄×C₅₉	—	2	3	no	—
661	C₄×C₅₉	—	2	2	no	—
662	C₄×C₅₉	—	2	6	no	—
663	C₄×C₅₉	—	2	6	no	—
664	C₄×C₅₉	—	2	2	no	—
665	C₄×C₅₉	C₂²×#41	1	2	yes	—
666	C₄×C₅₉	C₂²×#41	1	6	yes	—
667	C₄×C₅₉	#585	1	2	yes	—
668	#3524	C₂×C₅₉	1	2	yes	complemented
669	#3523	C₂×C₅₉	1	1	yes	characteristic, complemented
670	#3522	C₂×C₅₉	1	1	yes	characteristic, complemented
671	#3521	C₂×C₅₉	1	6	yes	complemented
672	#3520	C₂×C₅₉	1	3	yes	complemented
673	#3519	C₂×C₅₉	1	3	yes	complemented
674	#3518	C₂×C₅₉	1	1	yes	characteristic, complemented
675	#3517	C₂×C₅₉	1	1	yes	characteristic, complemented
676	#3516	C₂×C₅₉	1	2	yes	complemented
677	#3515	C₂×C₅₉	1	3	yes	complemented
678	#3514	C₂×C₅₉	1	3	yes	complemented
679	#3513	C₂×C₅₉	1	6	yes	complemented
680	#3480	C₂×C₅₉	1	3	yes	complemented
681	Q₈×#41	C₂×C₅₉	1	1	yes	characteristic, complemented
682	#3475	C₂×C₅₉	1	6	yes	complemented
683	#3475	C₂×C₅₉	1	3	yes	complemented
684	D₄×#41	C₂×C₅₉	1	1	yes	characteristic, complemented
685	D₄×#41	C₂×C₅₉	1	2	yes	complemented
686	#3455	C₂×C₅₉	1	6	yes	complemented
687	#3444	C₂×C₅₉	1	3	yes	complemented
688	C₂×#529	C₂×C₅₉	1	3	yes	complemented
689	#3428	C₂×C₅₉	1	2	yes	complemented
690	C₂×C₄×#41	C₂×C₅₉	1	1	yes	characteristic, complemented
691	C₂×C₅₉	—	2	2	no	—
692	C₂×C₅₉	—	2	6	no	—
693	C₂×C₅₉	—	4	3	no	—
694	C₂×C₅₉	—	4	6	no	—
695	C₂×C₅₉	—	4	2	no	—
696	C₂×C₅₉	C₂³×#41	1	1	yes	characteristic
697	C₂×C₅₉	C₂×#585	1	1	yes	characteristic
698	C₂×C₅₉	C₂×#585	1	1	yes	characteristic
699	C₂²×#41	C₂²×C₅₉	1	1	yes	characteristic
700	C₂²×#41	C₂²×C₅₉	1	2	yes	—
701	#559	C₂²×C₅₉	1	6	yes	complemented
702	#559	C₂²×C₅₉	1	3	yes	complemented
703	Q₈²	C₂²×C₅₉	1	1	yes	characteristic, complemented
704	#557	C₂²×C₅₉	1	2	yes	complemented
705	#557	C₂²×C₅₉	1	1	yes	characteristic, complemented
706	#557	C₂²×C₅₉	1	3	yes	complemented
707	#556	C₂²×C₅₉	1	3	yes	complemented
708	#556	C₂²×C₅₉	1	6	yes	complemented
709	#556	C₂²×C₅₉	1	6	yes	complemented
710	#556	C₂²×C₅₉	1	3	yes	complemented
711	#555	C₂²×C₅₉	1	6	yes	complemented
712	#555	C₂²×C₅₉	1	3	yes	complemented
713	#554	C₂²×C₅₉	1	3	yes	complemented
714	#554	C₂²×C₅₉	1	6	yes	complemented
715	#554	C₂²×C₅₉	1	6	yes	complemented
716	#554	C₂²×C₅₉	1	3	yes	complemented
717	#553	C₂²×C₅₉	1	6	yes	complemented
718	#553	C₂²×C₅₉	1	6	yes	complemented
719	#553	C₂²×C₅₉	1	6	yes	complemented
720	#553	C₂²×C₅₉	1	12	yes	complemented
721	#553	C₂²×C₅₉	1	6	yes	complemented
722	#552	C₂²×C₅₉	1	6	yes	complemented
723	#552	C₂²×C₅₉	1	6	yes	complemented
724	#552	C₂²×C₅₉	1	12	yes	complemented
725	#552	C₂²×C₅₉	1	6	yes	complemented
726	#552	C₂²×C₅₉	1	6	yes	complemented
727	#551	C₂²×C₅₉	1	12	yes	complemented
728	#551	C₂²×C₅₉	1	12	yes	complemented
729	#551	C₂²×C₅₉	1	12	yes	complemented
730	#550	C₂²×C₅₉	1	1	yes	characteristic, complemented
731	#550	C₂²×C₅₉	1	2	yes	complemented
732	#550	C₂²×C₅₉	1	3	yes	complemented
733	D₄×Q₈	C₂²×C₅₉	1	2	yes	complemented
734	D₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
735	D₄×Q₈	C₂²×C₅₉	1	3	yes	complemented
736	#548	C₂²×C₅₉	1	2	yes	complemented
737	#548	C₂²×C₅₉	1	2	yes	complemented
738	#548	C₂²×C₅₉	1	2	yes	complemented
739	#548	C₂²×C₅₉	1	6	yes	complemented
740	#547	C₂²×C₅₉	1	3	yes	complemented
741	#547	C₂²×C₅₉	1	6	yes	complemented
742	#547	C₂²×C₅₉	1	6	yes	complemented
743	#547	C₂²×C₅₉	1	3	yes	complemented
744	#546	C₂²×C₅₉	1	6	yes	complemented
745	#546	C₂²×C₅₉	1	6	yes	complemented
746	#546	C₂²×C₅₉	1	6	yes	complemented
747	#546	C₂²×C₅₉	1	12	yes	complemented
748	#546	C₂²×C₅₉	1	6	yes	complemented
749	D₄²	C₂²×C₅₉	1	6	yes	complemented
750	D₄²	C₂²×C₅₉	1	3	yes	complemented
751	#542	C₂²×C₅₉	1	6	yes	complemented
752	#542	C₂²×C₅₉	1	6	yes	complemented
753	#542	C₂²×C₅₉	1	6	yes	complemented
754	#542	C₂²×C₅₉	1	6	yes	complemented
755	#541	C₂²×C₅₉	1	6	yes	complemented
756	#541	C₂²×C₅₉	1	6	yes	complemented
757	#540	C₂²×C₅₉	1	6	yes	complemented
758	#540	C₂²×C₅₉	1	6	yes	complemented
759	#539	C₂²×C₅₉	1	12	yes	complemented
760	#539	C₂²×C₅₉	1	12	yes	complemented
761	#538	C₂²×C₅₉	1	12	yes	complemented
762	#538	C₂²×C₅₉	1	12	yes	complemented
763	#533	C₂²×C₅₉	1	3	yes	complemented
764	#533	C₂²×C₅₉	1	3	yes	complemented
765	#533	C₂²×C₅₉	1	3	yes	complemented
766	#533	C₂²×C₅₉	1	6	yes	complemented
767	#532	C₂²×C₅₉	1	3	yes	complemented
768	#532	C₂²×C₅₉	1	3	yes	complemented
769	#532	C₂²×C₅₉	1	3	yes	complemented
770	#532	C₂²×C₅₉	1	6	yes	complemented
771	#529	C₂²×C₅₉	1	1	yes	characteristic
772	#529	C₂²×C₅₉	1	3	yes	—
773	#529	C₂²×C₅₉	1	3	yes	complemented
774	#529	C₂²×C₅₉	1	6	yes	complemented
775	#529	C₂²×C₅₉	1	6	yes	complemented
776	#529	C₂²×C₅₉	1	3	yes	complemented
777	#529	C₂²×C₅₉	1	3	yes	complemented
778	#529	C₂²×C₅₉	1	6	yes	complemented
779	#529	C₂²×C₅₉	1	3	yes	complemented
780	#529	C₂²×C₅₉	1	3	yes	complemented
781	#529	C₂²×C₅₉	1	3	yes	complemented
782	#529	C₂²×C₅₉	1	6	yes	complemented
783	#529	C₂²×C₅₉	1	6	yes	complemented
784	#529	C₂²×C₅₉	1	6	yes	complemented
785	#529	C₂²×C₅₉	1	6	yes	complemented
786	#529	C₂²×C₅₉	1	6	yes	complemented
787	#529	C₂²×C₅₉	1	6	yes	complemented
788	#529	C₂²×C₅₉	1	12	yes	complemented
789	#529	C₂²×C₅₉	1	12	yes	complemented
790	C₂×#126	C₂²×C₅₉	1	6	yes	complemented
791	C₂×#125	C₂²×C₅₉	1	3	yes	complemented
792	C₂×#124	C₂²×C₅₉	1	3	yes	complemented
793	#525	C₂²×C₅₉	1	6	yes	complemented
794	#525	C₂²×C₅₉	1	6	yes	complemented
795	#525	C₂²×C₅₉	1	6	yes	complemented
796	#525	C₂²×C₅₉	1	6	yes	complemented
797	#525	C₂²×C₅₉	1	6	yes	complemented
798	C₂×#123	C₂²×C₅₉	1	6	yes	complemented
799	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	3	yes	complemented
800	C₂×#121	C₂²×C₅₉	1	3	yes	—
801	#520	C₂²×C₅₉	1	6	yes	complemented
802	#520	C₂²×C₅₉	1	2	yes	complemented
803	#520	C₂²×C₅₉	1	6	yes	complemented
804	#520	C₂²×C₅₉	1	2	yes	complemented
805	#519	C₂²×C₅₉	1	2	yes	complemented
806	#519	C₂²×C₅₉	1	2	yes	complemented
807	#518	C₂²×C₅₉	1	6	yes	complemented
808	#518	C₂²×C₅₉	1	6	yes	complemented
809	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic
810	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic
811	C₄×#41	C₂²×C₅₉	1	2	yes	—
812	C₄×#41	C₂²×C₅₉	1	3	yes	complemented
813	C₄×#41	C₂²×C₅₉	1	3	yes	complemented
814	C₄×#41	C₂²×C₅₉	1	3	yes	complemented
815	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic, complemented
816	C₄×#41	C₂²×C₅₉	1	3	yes	complemented
817	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic, complemented
818	C₄×#41	C₂²×C₅₉	1	6	yes	complemented
819	C₄×#41	C₂²×C₅₉	1	6	yes	complemented
820	C₄×#41	C₂²×C₅₉	1	6	yes	complemented
821	C₄×#41	C₂²×C₅₉	1	6	yes	complemented
822	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
823	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
824	C₂×C₄×Q₈	C₂²×C₅₉	1	3	yes	complemented
825	C₂×C₄×D₄	C₂²×C₅₉	1	3	yes	complemented
826	C₂×C₄×D₄	C₂²×C₅₉	1	3	yes	complemented
827	C₂×C₄×D₄	C₂²×C₅₉	1	6	yes	complemented
828	C₂×C₄×D₄	C₂²×C₅₉	1	3	yes	complemented
829	C₂×#117	C₂²×C₅₉	1	3	yes	complemented
830	C₂×#117	C₂²×C₅₉	1	6	yes	complemented
831	C₂×#117	C₂²×C₅₉	1	6	yes	complemented
832	C₂²×C₄²	C₂²×C₅₉	1	3	yes	complemented
833	C₅₉	#62816	1	1	yes	characteristic, direct product factor, Sylow
834	C₂×#41	—	2	8	no	—
835	C₂×#41	—	2	16	no	—
836	C₂×#41	C₂³×C₅₉	1	3	yes	—
837	C₂×#41	C₂³×C₅₉	1	6	yes	—
838	C₂×#41	C₂³×C₅₉	1	3	yes	—
839	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
840	C₂×#41	C₂³×C₅₉	1	6	yes	—
841	C₂×#41	C₂³×C₅₉	1	2	yes	—
842	C₂×#41	C₂³×C₅₉	1	6	yes	—
843	C₂×#41	C₂³×C₅₉	1	6	yes	—
844	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
845	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
846	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
847	C₂²×Q₈	C₂³×C₅₉	1	3	yes	—
848	C₂²×D₄	C₂³×C₅₉	1	3	yes	—
849	C₂²×D₄	C₂³×C₅₉	1	6	yes	—
850	C₂²×D₄	C₂³×C₅₉	1	6	yes	—
851	C₂²×D₄	C₂³×C₅₉	1	3	yes	—
852	C₂³×C₄	C₂³×C₅₉	1	6	yes	—
853	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
854	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
855	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
856	C₄⋊Q₈	C₂³×C₅₉	1	3	yes	—
857	C₄⋊Q₈	C₂³×C₅₉	1	3	yes	—
858	C₄⋊Q₈	C₂³×C₅₉	1	3	yes	—
859	C₄⋊Q₈	C₂³×C₅₉	1	6	yes	—
860	C₄⋊Q₈	C₂³×C₅₉	1	6	yes	—
861	C₄⋊Q₈	C₂³×C₅₉	1	6	yes	—
862	#127	C₂³×C₅₉	1	3	yes	—
863	#127	C₂³×C₅₉	1	6	yes	—
864	#126	C₂³×C₅₉	1	2	yes	—
865	#126	C₂³×C₅₉	1	6	yes	—
866	#126	C₂³×C₅₉	1	6	yes	—
867	#126	C₂³×C₅₉	1	6	yes	—
868	#126	C₂³×C₅₉	1	6	yes	—
869	#126	C₂³×C₅₉	1	6	yes	—
870	#126	C₂³×C₅₉	1	6	yes	—
871	#126	C₂³×C₅₉	1	6	yes	—
872	#126	C₂³×C₅₉	1	12	yes	—
873	#126	C₂³×C₅₉	1	12	yes	—
874	#126	C₂³×C₅₉	1	12	yes	—
875	#126	C₂³×C₅₉	1	12	yes	—
876	#126	C₂³×C₅₉	1	12	yes	—
877	#125	C₂³×C₅₉	1	1	yes	characteristic
878	#125	C₂³×C₅₉	1	3	yes	—
879	#125	C₂³×C₅₉	1	3	yes	—
880	#125	C₂³×C₅₉	1	6	yes	—
881	#125	C₂³×C₅₉	1	6	yes	—
882	#125	C₂³×C₅₉	1	3	yes	—
883	#125	C₂³×C₅₉	1	6	yes	—
884	#125	C₂³×C₅₉	1	6	yes	—
885	#125	C₂³×C₅₉	1	12	yes	—
886	#125	C₂³×C₅₉	1	12	yes	—
887	#125	C₂³×C₅₉	1	6	yes	—
888	#125	C₂³×C₅₉	1	6	yes	—
889	#124	C₂³×C₅₉	1	1	yes	characteristic
890	#124	C₂³×C₅₉	1	3	yes	—
891	#124	C₂³×C₅₉	1	3	yes	—
892	#124	C₂³×C₅₉	1	6	yes	—
893	#124	C₂³×C₅₉	1	3	yes	—
894	#124	C₂³×C₅₉	1	6	yes	—
895	#124	C₂³×C₅₉	1	6	yes	—
896	#124	C₂³×C₅₉	1	6	yes	—
897	#124	C₂³×C₅₉	1	12	yes	—
898	#124	C₂³×C₅₉	1	12	yes	—
899	#124	C₂³×C₅₉	1	6	yes	—
900	#124	C₂³×C₅₉	1	6	yes	—
901	#123	C₂³×C₅₉	1	2	yes	—
902	#123	C₂³×C₅₉	1	6	yes	—
903	#123	C₂³×C₅₉	1	6	yes	—
904	#123	C₂³×C₅₉	1	6	yes	—
905	#123	C₂³×C₅₉	1	6	yes	—
906	#123	C₂³×C₅₉	1	6	yes	—
907	#123	C₂³×C₅₉	1	6	yes	—
908	#123	C₂³×C₅₉	1	6	yes	—
909	#123	C₂³×C₅₉	1	12	yes	—
910	#123	C₂³×C₅₉	1	12	yes	—
911	#123	C₂³×C₅₉	1	12	yes	—
912	#123	C₂³×C₅₉	1	12	yes	—
913	#123	C₂³×C₅₉	1	12	yes	—
914	#123	C₂³×C₅₉	1	12	yes	—
915	#123	C₂³×C₅₉	1	12	yes	—
916	#123	C₂³×C₅₉	1	12	yes	—
917	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
918	C₂²⋊Q₈	C₂³×C₅₉	1	3	yes	—
919	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
920	C₂²⋊Q₈	C₂³×C₅₉	1	3	yes	—
921	C₂²⋊Q₈	C₂³×C₅₉	1	3	yes	—
922	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
923	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
924	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
925	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
926	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
927	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
928	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
929	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
930	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
931	C₂²⋊Q₈	C₂³×C₅₉	1	6	yes	—
932	C₂²⋊Q₈	C₂³×C₅₉	1	12	yes	—
933	C₂²⋊Q₈	C₂³×C₅₉	1	12	yes	—
934	C₂²⋊Q₈	C₂³×C₅₉	1	12	yes	—
935	C₂²⋊Q₈	C₂³×C₅₉	1	12	yes	—
936	#121	C₂³×C₅₉	1	1	yes	characteristic
937	#121	C₂³×C₅₉	1	3	yes	—
938	#121	C₂³×C₅₉	1	6	yes	—
939	#121	C₂³×C₅₉	1	6	yes	—
940	#121	C₂³×C₅₉	1	3	yes	—
941	#121	C₂³×C₅₉	1	3	yes	—
942	#121	C₂³×C₅₉	1	6	yes	—
943	#121	C₂³×C₅₉	1	6	yes	—
944	#121	C₂³×C₅₉	1	6	yes	—
945	#121	C₂³×C₅₉	1	6	yes	—
946	#121	C₂³×C₅₉	1	6	yes	—
947	#121	C₂³×C₅₉	1	6	yes	—
948	#121	C₂³×C₅₉	1	6	yes	—
949	#121	C₂³×C₅₉	1	6	yes	—
950	#121	C₂³×C₅₉	1	6	yes	—
951	#121	C₂³×C₅₉	1	12	yes	—
952	#121	C₂³×C₅₉	1	12	yes	—
953	#121	C₂³×C₅₉	1	12	yes	—
954	#121	C₂³×C₅₉	1	12	yes	—
955	#120	C₂³×C₅₉	1	12	yes	—
956	#120	C₂³×C₅₉	1	12	yes	—
957	#120	C₂³×C₅₉	1	12	yes	—
958	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
959	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
960	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
961	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
962	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
963	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
964	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
965	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
966	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
967	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
968	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
969	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
970	C₄×Q₈	C₂³×C₅₉	1	3	yes	—
971	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
972	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
973	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
974	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
975	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
976	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
977	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
978	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
979	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
980	C₄×Q₈	C₂³×C₅₉	1	6	yes	—
981	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
982	C₄×D₄	C₂³×C₅₉	1	2	yes	—
983	C₄×D₄	C₂³×C₅₉	1	3	yes	—
984	C₄×D₄	C₂³×C₅₉	1	3	yes	—
985	C₄×D₄	C₂³×C₅₉	1	3	yes	—
986	C₄×D₄	C₂³×C₅₉	1	3	yes	—
987	C₄×D₄	C₂³×C₅₉	1	6	yes	—
988	C₄×D₄	C₂³×C₅₉	1	3	yes	—
989	C₄×D₄	C₂³×C₅₉	1	6	yes	—
990	C₄×D₄	C₂³×C₅₉	1	6	yes	—
991	C₄×D₄	C₂³×C₅₉	1	3	yes	—
992	C₄×D₄	C₂³×C₅₉	1	3	yes	—
993	C₄×D₄	C₂³×C₅₉	1	6	yes	—
994	C₄×D₄	C₂³×C₅₉	1	3	yes	—
995	C₄×D₄	C₂³×C₅₉	1	6	yes	—
996	C₄×D₄	C₂³×C₅₉	1	3	yes	—
997	C₄×D₄	C₂³×C₅₉	1	6	yes	—
998	C₄×D₄	C₂³×C₅₉	1	6	yes	—
999	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1000	C₄×D₄	C₂³×C₅₉	1	3	yes	—
1001	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1002	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1003	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1004	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1005	C₄×D₄	C₂³×C₅₉	1	3	yes	—
1006	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1007	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1008	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1009	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1010	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1011	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1012	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1013	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1014	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1015	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1016	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1017	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1018	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1019	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1020	C₄×D₄	C₂³×C₅₉	1	12	yes	—
1021	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1022	C₄×D₄	C₂³×C₅₉	1	6	yes	—
1023	#117	C₂³×C₅₉	1	3	yes	—
1024	#117	C₂³×C₅₉	1	2	yes	—
1025	#117	C₂³×C₅₉	1	6	yes	—
1026	#117	C₂³×C₅₉	1	3	yes	—
1027	#117	C₂³×C₅₉	1	6	yes	—
1028	#117	C₂³×C₅₉	1	6	yes	—
1029	#117	C₂³×C₅₉	1	6	yes	—
1030	#117	C₂³×C₅₉	1	6	yes	—
1031	#117	C₂³×C₅₉	1	6	yes	—
1032	#117	C₂³×C₅₉	1	3	yes	—
1033	#117	C₂³×C₅₉	1	3	yes	—
1034	#117	C₂³×C₅₉	1	6	yes	—
1035	#117	C₂³×C₅₉	1	6	yes	—
1036	#117	C₂³×C₅₉	1	6	yes	—
1037	#117	C₂³×C₅₉	1	6	yes	—
1038	#117	C₂³×C₅₉	1	6	yes	—
1039	#117	C₂³×C₅₉	1	6	yes	—
1040	#117	C₂³×C₅₉	1	12	yes	—
1041	#117	C₂³×C₅₉	1	6	yes	—
1042	#117	C₂³×C₅₉	1	6	yes	—
1043	#117	C₂³×C₅₉	1	12	yes	—
1044	#117	C₂³×C₅₉	1	12	yes	—
1045	C₂×C₄⋊C₄	C₂³×C₅₉	1	3	yes	—
1046	C₂×C₄⋊C₄	C₂³×C₅₉	1	3	yes	—
1047	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1048	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1049	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1050	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1051	C₂×C₄⋊C₄	C₂³×C₅₉	1	3	yes	—
1052	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1053	C₂×C₄⋊C₄	C₂³×C₅₉	1	3	yes	—
1054	C₂×C₄⋊C₄	C₂³×C₅₉	1	6	yes	—
1055	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1056	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1057	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1058	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
1059	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1060	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1061	C₂×C₂²⋊C₄	C₂³×C₅₉	1	6	yes	—
1062	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1063	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1064	C₂×C₄²	C₂³×C₅₉	1	6	yes	—
1065	C₂×C₄²	C₂³×C₅₉	1	12	yes	—
1066	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1067	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1068	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1069	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1070	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1071	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1072	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1073	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1074	C₂×C₄²	C₂³×C₅₉	1	3	yes	—
1075	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1076	C₂⁴	C₂⁴×C₅₉	1	3	yes	—
1077	C₂⁴	C₂⁴×C₅₉	1	6	yes	—
1078	#41	—	2	4	no	—
1079	#41	—	2	8	no	—
1080	#41	—	2	12	no	—
1081	#41	—	2	24	no	—
1082	#41	—	2	12	no	—
1083	#41	—	2	24	no	—
1084	#41	—	4	12	no	—
1085	#41	—	4	12	no	—
1086	#41	#41×C₅₉	1	8	yes	complemented
1087	C₂×Q₈	—	2	4	no	—
1088	C₂×Q₈	—	2	8	no	—
1089	C₂×Q₈	—	4	6	no	—
1090	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1091	C₂×Q₈	C₂⁴×C₅₉	1	3	yes	—
1092	C₂×Q₈	C₂⁴×C₅₉	1	6	yes	—
1093	C₂×Q₈	C₂⁴×C₅₉	1	3	yes	—
1094	C₂×Q₈	C₂⁴×C₅₉	1	6	yes	—
1095	C₂×Q₈	C₂⁴×C₅₉	1	6	yes	—
1096	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1097	C₂×D₄	—	2	12	no	—
1098	C₂×D₄	—	2	24	no	—
1099	C₂×D₄	—	4	6	no	—
1100	C₂×D₄	—	4	12	no	—
1101	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1102	C₂×D₄	C₂⁴×C₅₉	1	12	yes	—
1103	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1104	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
1105	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1106	C₂×D₄	C₂⁴×C₅₉	1	3	yes	—
1107	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1108	C₂×D₄	C₂⁴×C₅₉	1	3	yes	—
1109	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1110	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1111	C₂×D₄	C₂⁴×C₅₉	1	12	yes	—
1112	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1113	C₂×D₄	C₂⁴×C₅₉	1	6	yes	—
1114	C₂×D₄	C₂⁴×C₅₉	1	3	yes	—
1115	C₂²×C₄	—	2	12	no	—
1116	C₂²×C₄	—	2	24	no	—
1117	C₂²×C₄	—	4	6	no	—
1118	C₂²×C₄	—	4	6	no	—
1119	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1123	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1124	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1125	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1126	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1127	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1128	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1129	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1130	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1131	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1132	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
1133	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1134	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1135	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1136	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1137	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1138	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1139	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1140	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1141	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1142	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
1143	C₂²×C₄	C₂⁴×C₅₉	1	12	yes	—
1144	C₂²×C₄	C₂⁴×C₅₉	1	12	yes	—
1145	C₂²×C₄	C₂⁴×C₅₉	1	3	yes	—
1146	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1147	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1148	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1149	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1150	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1151	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1152	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1153	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1154	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1155	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1156	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1157	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1158	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1159	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1160	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1161	C₄⋊C₄	C₂⁴×C₅₉	1	3	yes	—
1162	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1163	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1164	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1165	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1166	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1167	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1170	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1171	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1172	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1173	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1174	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1175	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1176	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1177	C₄⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1178	C₄⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1179	C₄⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1180	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1181	C₂²⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1183	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1184	C₂²⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1185	C₂²⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1186	C₂²⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1187	C₂²⋊C₄	C₂⁴×C₅₉	1	2	yes	—
1188	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1189	C₂²⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1190	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1192	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1193	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1194	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1195	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1197	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1198	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1199	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1200	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1201	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1202	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1203	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1204	C₂²⋊C₄	C₂⁴×C₅₉	1	6	yes	—
1205	C₂²⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1206	C₂²⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1207	C₂²⋊C₄	C₂⁴×C₅₉	1	12	yes	—
1208	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1209	C₄²	C₂⁴×C₅₉	1	3	yes	—
1210	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1211	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1212	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1213	C₄²	C₂⁴×C₅₉	1	3	yes	—
1214	C₄²	C₂⁴×C₅₉	1	3	yes	—
1215	C₄²	C₂⁴×C₅₉	1	3	yes	—
1216	C₄²	C₂⁴×C₅₉	1	2	yes	—
1217	C₄²	C₂⁴×C₅₉	1	3	yes	—
1218	C₄²	C₂⁴×C₅₉	1	6	yes	—
1219	C₄²	C₂⁴×C₅₉	1	3	yes	—
1220	C₄²	C₂⁴×C₅₉	1	3	yes	—
1221	C₄²	C₂⁴×C₅₉	1	3	yes	—
1222	C₄²	C₂⁴×C₅₉	1	3	yes	—
1223	C₄²	C₂⁴×C₅₉	1	3	yes	—
1224	C₄²	C₂⁴×C₅₉	1	3	yes	—
1225	C₄²	C₂⁴×C₅₉	1	3	yes	—
1226	C₄²	C₂⁴×C₅₉	1	12	yes	—
1227	C₄²	C₂⁴×C₅₉	1	12	yes	—
1228	C₄²	C₂⁴×C₅₉	1	6	yes	—
1229	C₄²	C₂⁴×C₅₉	1	6	yes	—
1230	C₂³	—	2	6	no	—
1231	C₂³	—	2	6	no	—
1232	C₂³	—	2	12	no	—
1233	C₂³	—	4	3	no	—
1234	C₂³	—	4	6	no	—
1235	C₂³	—	4	6	no	—
1236	C₂³	C₂⁵×C₅₉	1	2	yes	—
1237	C₂³	C₂⁵×C₅₉	1	3	yes	—
1238	C₂³	C₂⁵×C₅₉	1	6	yes	—
1239	C₂³	C₂⁵×C₅₉	1	3	yes	—
1240	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
1241	Q₈	—	2	6	no	—
1242	Q₈	—	2	12	no	—
1243	Q₈	—	2	2	no	—
1244	Q₈	—	2	6	no	—
1245	Q₈	—	4	6	no	—
1246	Q₈	—	4	6	no	—
1247	Q₈	C₂×#41×C₅₉	1	4	yes	—
1248	D₄	—	2	12	no	—
1249	D₄	—	2	24	no	—
1250	D₄	—	2	4	no	—
1251	D₄	—	2	12	no	—
1252	D₄	—	2	6	no	—
1253	D₄	—	2	12	no	—
1254	D₄	—	2	2	no	—
1255	D₄	—	2	6	no	—
1256	D₄	—	4	6	no	—
1257	D₄	—	4	6	no	—
1258	D₄	—	4	6	no	—
1259	D₄	—	4	6	no	—
1260	D₄	—	4	12	no	—
1261	D₄	C₂×#41×C₅₉	1	12	yes	—
1262	C₂×C₄	—	2	6	no	—
1263	C₂×C₄	—	2	12	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	6	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	6	no	—
1269	C₂×C₄	—	2	12	no	—
1270	C₂×C₄	—	2	6	no	—
1271	C₂×C₄	—	2	12	no	—
1272	C₂×C₄	—	2	6	no	—
1273	C₂×C₄	—	2	12	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	6	no	—
1276	C₂×C₄	—	2	6	no	—
1277	C₂×C₄	—	4	3	no	—
1278	C₂×C₄	—	4	3	no	—
1279	C₂×C₄	—	4	3	no	—
1280	C₂×C₄	—	4	3	no	—
1281	C₂×C₄	—	4	3	no	—
1282	C₂×C₄	—	4	3	no	—
1283	C₂×C₄	—	4	3	no	—
1284	C₂×C₄	—	4	6	no	—
1285	C₂×C₄	—	4	6	no	—
1286	C₂×C₄	—	4	12	no	—
1287	C₂×C₄	—	4	12	no	—
1288	C₂×C₄	C₂×#41×C₅₉	1	12	yes	—
1289	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1290	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1291	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1292	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1293	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1294	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1295	C₂×C₄	C₂⁵×C₅₉	1	2	yes	—
1296	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1297	C₂×C₄	C₂⁵×C₅₉	1	6	yes	—
1298	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1299	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1300	C₂×C₄	C₂⁵×C₅₉	1	6	yes	—
1301	C₂×C₄	C₂⁵×C₅₉	1	6	yes	—
1302	C₂×C₄	C₂⁵×C₅₉	1	2	yes	—
1303	C₂×C₄	C₂⁵×C₅₉	1	2	yes	—
1304	C₂×C₄	C₂⁵×C₅₉	1	3	yes	—
1305	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1306	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	1	no	—
1309	C₂²	—	2	3	no	—
1310	C₂²	—	2	3	no	—
1311	C₂²	—	2	2	no	—
1312	C₂²	—	2	3	no	—
1313	C₂²	—	2	6	no	—
1314	C₂²	—	2	3	no	—
1315	C₂²	—	2	6	no	—
1316	C₂²	—	2	6	no	—
1317	C₂²	—	2	3	no	—
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	4	12	no	—
1321	C₂²	—	8	12	no	—
1322	C₂²	C₂²×#41×C₅₉	1	6	yes	—
1323	C₂²	C₅₉×#585	1	2	yes	—
1324	C₂²	C₂⁶×C₅₉	1	1	yes	characteristic
1325	C₄	—	2	1	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	3	no	—
1328	C₄	—	2	6	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	1	no	—
1331	C₄	—	2	3	no	—
1332	C₄	—	2	1	no	—
1333	C₄	—	2	3	no	—
1334	C₄	—	2	3	no	—
1335	C₄	—	2	3	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	2	6	no	—
1338	C₄	—	2	6	no	—
1339	C₄	—	2	2	no	—
1340	C₄	C₂²×#41×C₅₉	1	2	yes	—
1341	C₄	C₂²×#41×C₅₉	1	6	yes	—
1342	C₄	C₅₉×#585	1	2	yes	—
1343	C₂	—	2	2	no	—
1344	C₂	—	2	6	no	—
1345	C₂	—	4	3	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	4	6	no	—
1348	C₂	C₂³×#41×C₅₉	1	1	yes	characteristic
1349	C₂	C₂×C₅₉×#585	1	1	yes	characteristic
1350	C₂	C₂×C₅₉×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₉
socle	C₂²×C₅₉	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3524	C₂	semidirect
2. C₅₉×#3523	C₂	semidirect
3. C₅₉×#3522	C₂	semidirect
4. C₅₉×#3521	C₂	semidirect
5. C₅₉×#3520	C₂	semidirect
6. C₅₉×#3519	C₂	semidirect
7. C₅₉×#3518	C₂	semidirect
8. C₅₉×#3517	C₂	semidirect
9. C₅₉×#3516	C₂	semidirect
10. C₅₉×#3515	C₂	semidirect
11. C₅₉×#3514	C₂	semidirect
12. C₅₉×#3513	C₂	semidirect
13. C₅₉×#3480	C₂	semidirect
14. Q₈×#41×C₅₉	C₂	semidirect
15. C₅₉×#3475	C₂	semidirect
16. C₅₉×#3475	C₂	semidirect
17. D₄×#41×C₅₉	C₂	semidirect
18. D₄×#41×C₅₉	C₂	semidirect
19. C₅₉×#3455	C₂	semidirect
20. C₅₉×#3444	C₂	semidirect
21. C₂×C₅₉×#529	C₂	semidirect
22. C₅₉×#3428	C₂	semidirect
23. C₂×C₄×#41×C₅₉	C₂	semidirect
26. C₅₉×#559	C₂²	semidirect
27. C₅₉×#559	C₂²	semidirect
28. Q₈²×C₅₉	C₂²	semidirect
29. C₅₉×#557	C₂²	semidirect
30. C₅₉×#557	C₂²	semidirect
31. C₅₉×#557	C₂²	semidirect
32. C₅₉×#556	C₂²	semidirect
33. C₅₉×#556	C₂²	semidirect
34. C₅₉×#556	C₂²	semidirect
35. C₅₉×#556	C₂²	semidirect
36. C₅₉×#555	C₂²	semidirect
37. C₅₉×#555	C₂²	semidirect
38. C₅₉×#554	C₂²	semidirect
39. C₅₉×#554	C₂²	semidirect
40. C₅₉×#554	C₂²	semidirect
41. C₅₉×#554	C₂²	semidirect
42. C₅₉×#553	C₂²	semidirect
43. C₅₉×#553	C₂²	semidirect
44. C₅₉×#553	C₂²	semidirect
45. C₅₉×#553	C₂²	semidirect
46. C₅₉×#553	C₂²	semidirect
47. C₅₉×#552	C₂²	semidirect
48. C₅₉×#552	C₂²	semidirect
49. C₅₉×#552	C₂²	semidirect
50. C₅₉×#552	C₂²	semidirect
51. C₅₉×#552	C₂²	semidirect
52. C₅₉×#551	C₂²	semidirect
53. C₅₉×#551	C₂²	semidirect
54. C₅₉×#551	C₂²	semidirect
55. C₅₉×#550	C₂²	semidirect
56. C₅₉×#550	C₂²	semidirect
57. C₅₉×#550	C₂²	semidirect
58. D₄×Q₈×C₅₉	C₂²	semidirect
59. D₄×Q₈×C₅₉	C₂²	semidirect
60. D₄×Q₈×C₅₉	C₂²	semidirect
61. C₅₉×#548	C₂²	semidirect
62. C₅₉×#548	C₂²	semidirect
63. C₅₉×#548	C₂²	semidirect
64. C₅₉×#548	C₂²	semidirect
65. C₅₉×#547	C₂²	semidirect
66. C₅₉×#547	C₂²	semidirect
67. C₅₉×#547	C₂²	semidirect
68. C₅₉×#547	C₂²	semidirect
69. C₅₉×#546	C₂²	semidirect
70. C₅₉×#546	C₂²	semidirect
71. C₅₉×#546	C₂²	semidirect
72. C₅₉×#546	C₂²	semidirect
73. C₅₉×#546	C₂²	semidirect
74. D₄²×C₅₉	C₂²	semidirect
75. D₄²×C₅₉	C₂²	semidirect
76. C₅₉×#542	C₂²	semidirect
77. C₅₉×#542	C₂²	semidirect
78. C₅₉×#542	C₂²	semidirect
79. C₅₉×#542	C₂²	semidirect
80. C₅₉×#541	C₂²	semidirect
81. C₅₉×#541	C₂²	semidirect
82. C₅₉×#540	C₂²	semidirect
83. C₅₉×#540	C₂²	semidirect
84. C₅₉×#539	C₂²	semidirect
85. C₅₉×#539	C₂²	semidirect
86. C₅₉×#538	C₂²	semidirect
87. C₅₉×#538	C₂²	semidirect
88. C₅₉×#533	C₂²	semidirect
89. C₅₉×#533	C₂²	semidirect
90. C₅₉×#533	C₂²	semidirect
91. C₅₉×#533	C₂²	semidirect
92. C₅₉×#532	C₂²	semidirect
93. C₅₉×#532	C₂²	semidirect
94. C₅₉×#532	C₂²	semidirect
95. C₅₉×#532	C₂²	semidirect
98. C₅₉×#529	C₂²	semidirect
99. C₅₉×#529	C₂²	semidirect
100. C₅₉×#529	C₂²	semidirect
101. C₅₉×#529	C₂²	semidirect
102. C₅₉×#529	C₂²	semidirect
103. C₅₉×#529	C₂²	semidirect
104. C₅₉×#529	C₂²	semidirect
105. C₅₉×#529	C₂²	semidirect
106. C₅₉×#529	C₂²	semidirect
107. C₅₉×#529	C₂²	semidirect
108. C₅₉×#529	C₂²	semidirect
109. C₅₉×#529	C₂²	semidirect
110. C₅₉×#529	C₂²	semidirect
111. C₅₉×#529	C₂²	semidirect
112. C₅₉×#529	C₂²	semidirect
113. C₅₉×#529	C₂²	semidirect
114. C₅₉×#529	C₂²	semidirect
115. C₂×#126×C₅₉	C₂²	semidirect
116. C₂×#125×C₅₉	C₂²	semidirect
117. C₂×#124×C₅₉	C₂²	semidirect
118. C₅₉×#525	C₂²	semidirect
119. C₅₉×#525	C₂²	semidirect
120. C₅₉×#525	C₂²	semidirect
121. C₅₉×#525	C₂²	semidirect
122. C₅₉×#525	C₂²	semidirect
123. C₂×#123×C₅₉	C₂²	semidirect
124. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
126. C₅₉×#520	C₂²	semidirect
127. C₅₉×#520	C₂²	semidirect
128. C₅₉×#520	C₂²	semidirect
129. C₅₉×#520	C₂²	semidirect
130. C₅₉×#519	C₂²	semidirect
131. C₅₉×#519	C₂²	semidirect
132. C₅₉×#518	C₂²	semidirect
133. C₅₉×#518	C₂²	semidirect
137. C₄×#41×C₅₉	C₂²	semidirect
138. C₄×#41×C₅₉	C₂²	semidirect
139. C₄×#41×C₅₉	C₂²	semidirect
140. C₄×#41×C₅₉	C₂²	semidirect
141. C₄×#41×C₅₉	C₂²	semidirect
142. C₄×#41×C₅₉	C₂²	semidirect
143. C₄×#41×C₅₉	C₂²	semidirect
144. C₄×#41×C₅₉	C₂²	semidirect
145. C₄×#41×C₅₉	C₂²	semidirect
146. C₄×#41×C₅₉	C₂²	semidirect
147. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
148. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
149. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
150. C₂×C₄×D₄×C₅₉	C₂²	semidirect
151. C₂×C₄×D₄×C₅₉	C₂²	semidirect
152. C₂×C₄×D₄×C₅₉	C₂²	semidirect
153. C₂×C₄×D₄×C₅₉	C₂²	semidirect
154. C₂×#117×C₅₉	C₂²	semidirect
155. C₂×#117×C₅₉	C₂²	semidirect
156. C₂×#117×C₅₉	C₂²	semidirect
157. C₂²×C₄²×C₅₉	C₂²	semidirect
410. #41×C₅₉	#41	semidirect
631. #62816	C₅₉	direct (N × H)
668. #3524	C₂×C₅₉	semidirect
669. #3523	C₂×C₅₉	semidirect
670. #3522	C₂×C₅₉	semidirect
671. #3521	C₂×C₅₉	semidirect
672. #3520	C₂×C₅₉	semidirect
673. #3519	C₂×C₅₉	semidirect
674. #3518	C₂×C₅₉	semidirect
675. #3517	C₂×C₅₉	semidirect
676. #3516	C₂×C₅₉	semidirect
677. #3515	C₂×C₅₉	semidirect
678. #3514	C₂×C₅₉	semidirect
679. #3513	C₂×C₅₉	semidirect
680. #3480	C₂×C₅₉	semidirect
681. Q₈×#41	C₂×C₅₉	semidirect
682. #3475	C₂×C₅₉	semidirect
683. #3475	C₂×C₅₉	semidirect
684. D₄×#41	C₂×C₅₉	semidirect
685. D₄×#41	C₂×C₅₉	semidirect
686. #3455	C₂×C₅₉	semidirect
687. #3444	C₂×C₅₉	semidirect
688. C₂×#529	C₂×C₅₉	semidirect
689. #3428	C₂×C₅₉	semidirect
690. C₂×C₄×#41	C₂×C₅₉	semidirect
701. #559	C₂²×C₅₉	semidirect
702. #559	C₂²×C₅₉	semidirect
703. Q₈²	C₂²×C₅₉	semidirect
704. #557	C₂²×C₅₉	semidirect
705. #557	C₂²×C₅₉	semidirect
706. #557	C₂²×C₅₉	semidirect
707. #556	C₂²×C₅₉	semidirect
708. #556	C₂²×C₅₉	semidirect
709. #556	C₂²×C₅₉	semidirect
710. #556	C₂²×C₅₉	semidirect
711. #555	C₂²×C₅₉	semidirect
712. #555	C₂²×C₅₉	semidirect
713. #554	C₂²×C₅₉	semidirect
714. #554	C₂²×C₅₉	semidirect
715. #554	C₂²×C₅₉	semidirect
716. #554	C₂²×C₅₉	semidirect
717. #553	C₂²×C₅₉	semidirect
718. #553	C₂²×C₅₉	semidirect
719. #553	C₂²×C₅₉	semidirect
720. #553	C₂²×C₅₉	semidirect
721. #553	C₂²×C₅₉	semidirect
722. #552	C₂²×C₅₉	semidirect
723. #552	C₂²×C₅₉	semidirect
724. #552	C₂²×C₅₉	semidirect
725. #552	C₂²×C₅₉	semidirect
726. #552	C₂²×C₅₉	semidirect
727. #551	C₂²×C₅₉	semidirect
728. #551	C₂²×C₅₉	semidirect
729. #551	C₂²×C₅₉	semidirect
730. #550	C₂²×C₅₉	semidirect
731. #550	C₂²×C₅₉	semidirect
732. #550	C₂²×C₅₉	semidirect
733. D₄×Q₈	C₂²×C₅₉	semidirect
734. D₄×Q₈	C₂²×C₅₉	semidirect
735. D₄×Q₈	C₂²×C₅₉	semidirect
736. #548	C₂²×C₅₉	semidirect
737. #548	C₂²×C₅₉	semidirect
738. #548	C₂²×C₅₉	semidirect
739. #548	C₂²×C₅₉	semidirect
740. #547	C₂²×C₅₉	semidirect
741. #547	C₂²×C₅₉	semidirect
742. #547	C₂²×C₅₉	semidirect
743. #547	C₂²×C₅₉	semidirect
744. #546	C₂²×C₅₉	semidirect
745. #546	C₂²×C₅₉	semidirect
746. #546	C₂²×C₅₉	semidirect
747. #546	C₂²×C₅₉	semidirect
748. #546	C₂²×C₅₉	semidirect
749. D₄²	C₂²×C₅₉	semidirect
750. D₄²	C₂²×C₅₉	semidirect
751. #542	C₂²×C₅₉	semidirect
752. #542	C₂²×C₅₉	semidirect
753. #542	C₂²×C₅₉	semidirect
754. #542	C₂²×C₅₉	semidirect
755. #541	C₂²×C₅₉	semidirect
756. #541	C₂²×C₅₉	semidirect
757. #540	C₂²×C₅₉	semidirect
758. #540	C₂²×C₅₉	semidirect
759. #539	C₂²×C₅₉	semidirect
760. #539	C₂²×C₅₉	semidirect
761. #538	C₂²×C₅₉	semidirect
762. #538	C₂²×C₅₉	semidirect
763. #533	C₂²×C₅₉	semidirect
764. #533	C₂²×C₅₉	semidirect
765. #533	C₂²×C₅₉	semidirect
766. #533	C₂²×C₅₉	semidirect
767. #532	C₂²×C₅₉	semidirect
768. #532	C₂²×C₅₉	semidirect
769. #532	C₂²×C₅₉	semidirect
770. #532	C₂²×C₅₉	semidirect
773. #529	C₂²×C₅₉	semidirect
774. #529	C₂²×C₅₉	semidirect
775. #529	C₂²×C₅₉	semidirect
776. #529	C₂²×C₅₉	semidirect
777. #529	C₂²×C₅₉	semidirect
778. #529	C₂²×C₅₉	semidirect
779. #529	C₂²×C₅₉	semidirect
780. #529	C₂²×C₅₉	semidirect
781. #529	C₂²×C₅₉	semidirect
782. #529	C₂²×C₅₉	semidirect
783. #529	C₂²×C₅₉	semidirect
784. #529	C₂²×C₅₉	semidirect
785. #529	C₂²×C₅₉	semidirect
786. #529	C₂²×C₅₉	semidirect
787. #529	C₂²×C₅₉	semidirect
788. #529	C₂²×C₅₉	semidirect
789. #529	C₂²×C₅₉	semidirect
790. C₂×#126	C₂²×C₅₉	semidirect
791. C₂×#125	C₂²×C₅₉	semidirect
792. C₂×#124	C₂²×C₅₉	semidirect
793. #525	C₂²×C₅₉	semidirect
794. #525	C₂²×C₅₉	semidirect
795. #525	C₂²×C₅₉	semidirect
796. #525	C₂²×C₅₉	semidirect
797. #525	C₂²×C₅₉	semidirect
798. C₂×#123	C₂²×C₅₉	semidirect
799. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
801. #520	C₂²×C₅₉	semidirect
802. #520	C₂²×C₅₉	semidirect
803. #520	C₂²×C₅₉	semidirect
804. #520	C₂²×C₅₉	semidirect
805. #519	C₂²×C₅₉	semidirect
806. #519	C₂²×C₅₉	semidirect
807. #518	C₂²×C₅₉	semidirect
808. #518	C₂²×C₅₉	semidirect
812. C₄×#41	C₂²×C₅₉	semidirect
813. C₄×#41	C₂²×C₅₉	semidirect
814. C₄×#41	C₂²×C₅₉	semidirect
815. C₄×#41	C₂²×C₅₉	semidirect
816. C₄×#41	C₂²×C₅₉	semidirect
817. C₄×#41	C₂²×C₅₉	semidirect
818. C₄×#41	C₂²×C₅₉	semidirect
819. C₄×#41	C₂²×C₅₉	semidirect
820. C₄×#41	C₂²×C₅₉	semidirect
821. C₄×#41	C₂²×C₅₉	semidirect
822. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
823. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
824. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
825. C₂×C₄×D₄	C₂²×C₅₉	semidirect
826. C₂×C₄×D₄	C₂²×C₅₉	semidirect
827. C₂×C₄×D₄	C₂²×C₅₉	semidirect
828. C₂×C₄×D₄	C₂²×C₅₉	semidirect
829. C₂×#117	C₂²×C₅₉	semidirect
830. C₂×#117	C₂²×C₅₉	semidirect
831. C₂×#117	C₂²×C₅₉	semidirect
832. C₂²×C₄²	C₂²×C₅₉	semidirect
833. C₅₉	#62816	direct (N × H)
1086. #41	#41×C₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₅₉×#3524	2
C₅₉×#3523	2
C₅₉×#3522	2
C₅₉×#3521	2
C₅₉×#3520	2
C₅₉×#3519	2
C₅₉×#3518	2
C₅₉×#3517	2
C₅₉×#3516	2
C₅₉×#3515	2
C₅₉×#3514	2
C₅₉×#3513	2
C₅₉×#3480	2
Q₈×#41×C₅₉	2
C₅₉×#3475	2
D₄×#41×C₅₉	2
C₅₉×#3455	2
C₅₉×#3444	2
C₂×C₅₉×#529	2
C₅₉×#3428	2
C₂×C₄×#41×C₅₉	2
#62816	59

Subgroups — C59×#62816 #28474925

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62816 #28474925