Subgroups — C₅₉×#62257 #28474366

Order 15104.

1988 conjugacy classes of subgroups.

The subgroup lattice has 1068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3519	C₂	1	2	yes	maximal, complemented
2	C₅₉×#3347	C₂	1	2	yes	maximal, complemented
3	C₅₉×#3346	C₂	1	2	yes	maximal, complemented
4	C₅₉×#3319	C₂	1	2	yes	maximal, complemented
5	C₅₉×#3318	C₂	1	2	yes	maximal, complemented
6	C₅₉×#3314	C₂	1	2	yes	maximal, complemented
7	C₅₉×#3309	C₂	1	2	yes	maximal, complemented
8	C₅₉×#3268	C₂	1	2	yes	maximal, complemented
9	C₅₉×#3264	C₂	1	2	yes	maximal, complemented
10	C₅₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3245	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3191	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3188	C₂	1	2	yes	maximal, complemented
14	C₅₉×#3186	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3180	C₂	1	2	yes	maximal, complemented
16	C₅₉×#3055	C₂	1	2	yes	maximal, complemented
17	C₅₉×#3050	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₅₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₅₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×AGL(1,ℤ/8)×C₅₉	C₂²	1	2	yes	complemented
21	C₂×#135×C₅₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
23	C₂²×M₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
25	C₅₉×#555	C₂²	1	2	yes	complemented
26	C₅₉×#554	C₂²	1	2	yes	complemented
27	C₅₉×#553	—	2	2	no	—
28	C₅₉×#553	C₂²	1	2	yes	—
29	C₅₉×#553	C₂²	1	2	yes	complemented
30	C₅₉×#550	C₂²	1	2	yes	complemented
31	C₅₉×#546	—	2	2	no	—
32	C₅₉×#546	—	2	2	no	—
33	C₅₉×#546	C₂²	1	2	yes	—
34	C₅₉×#546	C₂²	1	2	yes	complemented
35	D₄²×C₅₉	—	2	2	no	—
36	D₄²×C₅₉	C₂²	1	2	yes	complemented
37	C₅₉×#540	—	2	2	no	—
38	C₅₉×#538	—	2	2	no	—
39	C₅₉×#538	—	2	2	no	—
40	C₅₉×#532	C₂²	1	2	yes	complemented
41	C₅₉×#529	C₂²	1	2	yes	complemented
42	C₅₉×#525	C₂²	1	2	yes	complemented
43	C₅₉×#525	C₂²	1	2	yes	complemented
44	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
45	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
46	C₅₉×#518	—	2	2	no	—
47	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
48	C₅₉×#501	C₂²	1	2	yes	complemented
49	C₅₉×#496	C₂²	1	2	yes	complemented
50	C₅₉×#490	C₂²	1	2	yes	complemented
51	C₅₉×#489	C₂²	1	2	yes	complemented
52	C₅₉×#485	C₂²	1	2	yes	complemented
53	C₅₉×#484	C₂²	1	2	yes	complemented
54	C₅₉×#482	C₂²	1	2	yes	complemented
55	C₅₉×#482	C₂²	1	2	yes	complemented
56	C₅₉×#482	C₂²	1	2	yes	complemented
57	C₅₉×#481	C₂²	1	2	yes	complemented
58	C₅₉×#480	C₂²	1	2	yes	complemented
59	C₅₉×#480	C₂²	1	2	yes	complemented
60	C₅₉×#479	C₂²	1	2	yes	complemented
61	C₅₉×#478	C₂²	1	2	yes	complemented
62	C₅₉×#474	C₂²	1	2	yes	complemented
63	C₅₉×#474	C₂²	1	2	yes	complemented
64	C₅₉×#469	C₂²	1	2	yes	complemented
65	C₅₉×#469	C₂²	1	2	yes	complemented
66	C₅₉×#468	C₂²	1	2	yes	complemented
67	C₅₉×#468	C₂²	1	2	yes	complemented
68	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
70	C₅₉×#466	C₂²	1	1	yes	characteristic
71	C₅₉×#466	C₂²	1	2	yes	complemented
72	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
73	C₅₉×#466	C₂²	1	2	yes	complemented
74	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
76	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
77	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
78	C₅₉×#466	C₂²	1	2	yes	complemented
79	C₅₉×#466	C₂²	1	2	yes	complemented
80	C₅₉×#465	C₂²	1	2	yes	complemented
81	C₅₉×#465	C₂²	1	2	yes	complemented
82	C₅₉×#465	C₂²	1	2	yes	complemented
83	C₅₉×#465	C₂²	1	2	yes	complemented
84	C₅₉×#464	C₂²	1	2	yes	complemented
85	C₅₉×#463	C₂²	1	2	yes	complemented
86	C₅₉×#459	C₂²	1	2	yes	complemented
87	C₅₉×#459	C₂²	1	2	yes	complemented
88	C₅₉×#452	C₂²	1	2	yes	complemented
89	C₅₉×#450	C₂²	1	2	yes	complemented
90	C₅₉×#449	C₂²	1	2	yes	complemented
91	C₅₉×#449	C₂²	1	2	yes	complemented
92	C₅₉×#449	C₂²	1	2	yes	complemented
93	C₅₉×#447	C₂²	1	2	yes	complemented
94	C₅₉×#447	C₂²	1	2	yes	complemented
95	C₅₉×#447	C₂²	1	2	yes	complemented
96	C₅₉×#442	C₂²	1	2	yes	complemented
97	C₅₉×#442	C₂²	1	2	yes	complemented
98	C₅₉×#440	C₂²	1	2	yes	complemented
99	C₅₉×#440	C₂²	1	2	yes	complemented
100	C₅₉×#435	C₂²	1	2	yes	complemented
101	C₅₉×#435	C₂²	1	2	yes	complemented
102	C₅₉×#435	C₂²	1	2	yes	complemented
103	C₅₉×#435	C₂²	1	2	yes	complemented
104	C₅₉×#428	C₂²	1	2	yes	complemented
105	C₅₉×#427	C₂²	1	1	yes	characteristic, complemented
106	C₂×#107×C₅₉	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#418	C₂²	1	2	yes	complemented
109	C₅₉×#417	C₂²	1	2	yes	complemented
110	C₅₉×#416	C₂²	1	2	yes	complemented
111	C₂×#102×C₅₉	C₂²	1	2	yes	complemented
112	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
114	C₂×#97×C₅₉	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₅₉	—	2	2	no	—
116	C₂×#41×C₅₉	C₂³	1	2	yes	—
117	C₂×#41×C₅₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₅₉	—	2	2	no	—
119	C₂²×D₄×C₅₉	—	2	2	no	—
120	C₂²×D₄×C₅₉	—	2	2	no	—
121	C₂²×D₄×C₅₉	D₄	1	1	yes	characteristic
122	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
123	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
124	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
126	AGL(1,ℤ/8)×C₅₉	—	4	4	no	—
127	#135×C₅₉	—	4	2	no	—
128	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
129	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
131	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
132	C₂×D₈×C₅₉	—	4	2	no	—
133	C₂×D₈×C₅₉	C₂³	1	2	yes	—
134	C₂×D₈×C₅₉	C₂³	1	2	yes	—
135	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
136	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
137	C₂×D₈×C₅₉	C₂³	1	2	yes	—
138	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
139	C₂×M₁₆×C₅₉	—	4	2	no	—
140	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
141	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
142	C₂²×C₈×C₅₉	—	4	2	no	—
143	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
151	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
152	#127×C₅₉	—	2	2	no	—
153	#127×C₅₉	C₂³	1	2	yes	—
154	#126×C₅₉	—	2	2	no	—
155	#126×C₅₉	—	2	2	no	—
156	#126×C₅₉	—	2	2	no	—
157	#125×C₅₉	—	2	2	no	—
158	#125×C₅₉	C₂³	1	2	yes	—
159	#124×C₅₉	—	2	2	no	—
160	#124×C₅₉	—	2	2	no	—
161	#124×C₅₉	—	2	2	no	—
162	#124×C₅₉	C₂³	1	2	yes	—
163	#123×C₅₉	—	2	2	no	—
164	#123×C₅₉	—	2	2	no	—
165	#123×C₅₉	—	2	2	no	—
166	#123×C₅₉	—	2	2	no	—
167	#123×C₅₉	—	2	2	no	—
168	#123×C₅₉	—	2	2	no	—
169	#123×C₅₉	—	2	2	no	—
170	C₂²⋊Q₈×C₅₉	—	2	2	no	—
171	C₂²⋊Q₈×C₅₉	—	2	2	no	—
172	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
173	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
174	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
175	#121×C₅₉	—	2	2	no	—
176	#121×C₅₉	—	2	2	no	—
177	#121×C₅₉	—	2	2	no	—
178	#121×C₅₉	—	2	2	no	—
179	#121×C₅₉	—	2	2	no	—
180	#121×C₅₉	—	2	2	no	—
181	#121×C₅₉	—	2	2	no	—
182	#121×C₅₉	—	2	2	no	—
183	#121×C₅₉	—	2	2	no	—
184	#121×C₅₉	—	2	2	no	—
185	#121×C₅₉	—	2	2	no	—
186	#121×C₅₉	—	2	2	no	—
187	#121×C₅₉	—	2	2	no	—
188	#121×C₅₉	C₂³	1	2	yes	—
189	#121×C₅₉	C₂³	1	2	yes	—
190	#121×C₅₉	C₂³	1	2	yes	—
191	#121×C₅₉	C₂³	1	2	yes	—
192	#121×C₅₉	C₂³	1	2	yes	—
193	#121×C₅₉	C₂³	1	2	yes	—
194	#121×C₅₉	C₂³	1	2	yes	—
195	#121×C₅₉	C₂³	1	2	yes	—
196	#121×C₅₉	C₂³	1	2	yes	—
197	#120×C₅₉	—	2	2	no	—
198	#120×C₅₉	—	2	2	no	—
199	#120×C₅₉	—	2	2	no	—
200	#120×C₅₉	—	2	2	no	—
201	#120×C₅₉	—	2	2	no	—
202	#120×C₅₉	—	2	2	no	—
203	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
204	C₄×D₄×C₅₉	—	2	2	no	—
205	C₄×D₄×C₅₉	—	2	2	no	—
206	C₄×D₄×C₅₉	—	2	2	no	—
207	C₄×D₄×C₅₉	—	2	2	no	—
208	C₄×D₄×C₅₉	—	2	2	no	—
209	C₄×D₄×C₅₉	—	2	2	no	—
210	C₄×D₄×C₅₉	—	2	2	no	—
211	C₄×D₄×C₅₉	—	2	2	no	—
212	C₄×D₄×C₅₉	—	2	2	no	—
213	C₄×D₄×C₅₉	—	2	2	no	—
214	C₄×D₄×C₅₉	D₄	1	2	yes	—
215	C₄×D₄×C₅₉	D₄	1	2	yes	—
216	C₄×D₄×C₅₉	C₂³	1	2	yes	—
217	C₄×D₄×C₅₉	C₂³	1	2	yes	—
218	C₄×D₄×C₅₉	C₂³	1	2	yes	—
219	C₄×D₄×C₅₉	C₂³	1	2	yes	—
220	C₄×D₄×C₅₉	C₂³	1	2	yes	—
221	#117×C₅₉	—	2	2	no	—
222	#117×C₅₉	—	2	2	no	—
223	#117×C₅₉	C₂³	1	2	yes	—
224	#117×C₅₉	C₂³	1	2	yes	—
225	C₂×C₄⋊C₄×C₅₉	D₄	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
227	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₅₉	—	2	2	no	—
229	C₂×C₂²⋊C₄×C₅₉	—	2	2	no	—
230	C₂×C₂²⋊C₄×C₅₉	—	2	2	no	—
231	C₂×C₂²⋊C₄×C₅₉	—	2	2	no	—
232	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
233	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
234	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
235	#107×C₅₉	C₂³	1	2	yes	—
236	#107×C₅₉	C₂³	1	1	yes	characteristic
237	#107×C₅₉	C₂³	1	1	yes	characteristic
238	#107×C₅₉	C₂³	1	1	yes	characteristic
239	#107×C₅₉	C₂³	1	1	yes	characteristic
240	#107×C₅₉	C₂³	1	2	yes	—
241	#107×C₅₉	C₂³	1	2	yes	—
242	#106×C₅₉	C₂³	1	2	yes	—
243	#106×C₅₉	C₂³	1	2	yes	—
244	#106×C₅₉	C₂³	1	2	yes	—
245	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
246	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
247	#103×C₅₉	C₂³	1	2	yes	—
248	#103×C₅₉	C₂³	1	2	yes	—
249	#103×C₅₉	C₂³	1	2	yes	—
250	#103×C₅₉	C₂³	1	2	yes	—
251	#102×C₅₉	C₂³	1	2	yes	—
252	#102×C₅₉	C₂³	1	2	yes	—
253	#102×C₅₉	C₂³	1	2	yes	—
254	#102×C₅₉	C₂³	1	2	yes	—
255	#102×C₅₉	C₂³	1	2	yes	—
256	#102×C₅₉	C₂³	1	2	yes	—
257	#102×C₅₉	C₂³	1	2	yes	—
258	#102×C₅₉	C₂³	1	2	yes	—
259	#102×C₅₉	C₂³	1	2	yes	—
260	#102×C₅₉	C₂³	1	2	yes	—
261	#102×C₅₉	C₂³	1	2	yes	—
262	#102×C₅₉	C₂³	1	2	yes	—
263	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
264	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
265	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
266	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
267	#97×C₅₉	C₂³	1	2	yes	—
268	#97×C₅₉	C₂³	1	2	yes	—
269	C₂⁴×C₅₉	—	2	2	no	—
270	C₂⁴×C₅₉	—	2	2	no	—
271	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
272	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
273	#41×C₅₉	—	4	2	no	—
274	#41×C₅₉	—	4	2	no	—
275	#41×C₅₉	—	4	2	no	—
276	#41×C₅₉	—	4	2	no	—
277	#41×C₅₉	—	8	4	no	—
278	C₂×Q₈×C₅₉	—	2	2	no	—
279	C₂×Q₈×C₅₉	C₂⁴	1	2	yes	—
280	C₂×D₄×C₅₉	—	2	2	no	—
281	C₂×D₄×C₅₉	—	2	2	no	—
282	C₂×D₄×C₅₉	—	2	2	no	—
283	C₂×D₄×C₅₉	—	2	2	no	—
284	C₂×D₄×C₅₉	—	2	2	no	—
285	C₂×D₄×C₅₉	—	2	2	no	—
286	C₂×D₄×C₅₉	—	2	2	no	—
287	C₂×D₄×C₅₉	—	2	2	no	—
288	C₂×D₄×C₅₉	—	2	2	no	—
289	C₂×D₄×C₅₉	—	2	2	no	—
290	C₂×D₄×C₅₉	—	2	2	no	—
291	C₂×D₄×C₅₉	—	2	2	no	—
292	C₂×D₄×C₅₉	—	2	2	no	—
293	C₂×D₄×C₅₉	—	2	2	no	—
294	C₂×D₄×C₅₉	—	2	2	no	—
295	C₂×D₄×C₅₉	—	4	2	no	—
296	C₂×D₄×C₅₉	—	4	2	no	—
297	C₂×D₄×C₅₉	—	4	2	no	—
298	C₂×D₄×C₅₉	—	4	2	no	—
299	C₂×D₄×C₅₉	—	4	2	no	—
300	C₂×D₄×C₅₉	—	4	8	no	—
301	C₂×D₄×C₅₉	—	8	4	no	—
302	C₂×D₄×C₅₉	—	8	4	no	—
303	C₂×D₄×C₅₉	C₂×D₄	1	2	yes	—
304	C₂×D₄×C₅₉	C₂×D₄	1	2	yes	—
305	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
306	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
307	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₅₉	—	2	2	no	—
309	C₂²×C₄×C₅₉	—	2	2	no	—
310	C₂²×C₄×C₅₉	—	2	2	no	—
311	C₂²×C₄×C₅₉	—	2	2	no	—
312	C₂²×C₄×C₅₉	—	2	2	no	—
313	C₂²×C₄×C₅₉	—	2	2	no	—
314	C₂²×C₄×C₅₉	—	2	2	no	—
315	C₂²×C₄×C₅₉	—	4	1	no	—
316	C₂²×C₄×C₅₉	—	4	1	no	—
317	C₂²×C₄×C₅₉	—	4	1	no	—
318	C₂²×C₄×C₅₉	—	4	1	no	—
319	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×C₅₉	C₂×D₄	1	2	yes	—
323	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
324	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
330	Q₁₆×C₅₉	—	4	1	no	—
331	SD₁₆×C₅₉	—	2	4	no	—
332	SD₁₆×C₅₉	—	4	2	no	—
333	SD₁₆×C₅₉	—	4	2	no	—
334	D₈×C₅₉	—	2	4	no	—
335	D₈×C₅₉	—	4	1	no	—
336	D₈×C₅₉	—	4	1	no	—
337	D₈×C₅₉	—	4	2	no	—
338	D₈×C₅₉	—	4	1	no	—
339	D₈×C₅₉	—	4	2	no	—
340	M₁₆×C₅₉	—	2	4	no	—
341	M₁₆×C₅₉	—	4	2	no	—
342	C₂×C₈×C₅₉	—	2	2	no	—
343	C₂×C₈×C₅₉	—	2	2	no	—
344	C₂×C₈×C₅₉	—	2	2	no	—
345	C₂×C₈×C₅₉	—	4	1	no	—
346	C₂×C₈×C₅₉	—	4	1	no	—
347	C₂×C₈×C₅₉	—	4	1	no	—
348	C₂×C₈×C₅₉	—	4	1	no	—
349	C₂×C₈×C₅₉	—	4	1	no	—
350	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
351	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
354	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
356	C₄⋊C₄×C₅₉	—	2	2	no	—
357	C₄⋊C₄×C₅₉	—	2	2	no	—
358	C₄⋊C₄×C₅₉	—	2	2	no	—
359	C₄⋊C₄×C₅₉	—	2	2	no	—
360	C₄⋊C₄×C₅₉	—	2	2	no	—
361	C₄⋊C₄×C₅₉	—	2	2	no	—
362	C₄⋊C₄×C₅₉	—	2	2	no	—
363	C₄⋊C₄×C₅₉	—	2	2	no	—
364	C₄⋊C₄×C₅₉	—	2	2	no	—
365	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
366	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
367	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
371	C₂²⋊C₄×C₅₉	—	2	2	no	—
372	C₂²⋊C₄×C₅₉	—	2	2	no	—
373	C₂²⋊C₄×C₅₉	—	2	2	no	—
374	C₂²⋊C₄×C₅₉	—	2	2	no	—
375	C₂²⋊C₄×C₅₉	—	2	2	no	—
376	C₂²⋊C₄×C₅₉	—	2	2	no	—
377	C₂²⋊C₄×C₅₉	—	2	2	no	—
378	C₂²⋊C₄×C₅₉	—	2	2	no	—
379	C₂²⋊C₄×C₅₉	—	2	2	no	—
380	C₂²⋊C₄×C₅₉	—	2	2	no	—
381	C₂²⋊C₄×C₅₉	—	2	2	no	—
382	C₂²⋊C₄×C₅₉	—	2	2	no	—
383	C₂²⋊C₄×C₅₉	—	2	2	no	—
384	C₂²⋊C₄×C₅₉	—	2	2	no	—
385	C₂²⋊C₄×C₅₉	—	2	2	no	—
386	C₂²⋊C₄×C₅₉	—	2	2	no	—
387	C₂²⋊C₄×C₅₉	—	2	2	no	—
388	C₂²⋊C₄×C₅₉	—	2	2	no	—
389	C₂²⋊C₄×C₅₉	—	2	2	no	—
390	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
394	C₄²×C₅₉	—	2	2	no	—
395	C₄²×C₅₉	—	2	2	no	—
396	C₄²×C₅₉	—	2	2	no	—
397	C₄²×C₅₉	C₂×D₄	1	2	yes	—
398	C₄²×C₅₉	C₂⁴	1	2	yes	—
399	C₂³×C₅₉	—	2	2	no	—
400	C₂³×C₅₉	—	2	2	no	—
401	C₂³×C₅₉	—	2	2	no	—
402	C₂³×C₅₉	—	2	2	no	—
403	C₂³×C₅₉	—	2	2	no	—
404	C₂³×C₅₉	—	2	2	no	—
405	C₂³×C₅₉	—	4	1	no	—
406	C₂³×C₅₉	—	4	1	no	—
407	C₂³×C₅₉	—	4	1	no	—
408	C₂³×C₅₉	—	4	4	no	—
409	C₂³×C₅₉	—	4	4	no	—
410	C₂³×C₅₉	—	8	2	no	—
411	C₂³×C₅₉	—	8	2	no	—
412	C₂³×C₅₉	—	8	2	no	—
413	C₂³×C₅₉	—	8	2	no	—
414	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
415	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
416	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
417	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
418	Q₈×C₅₉	—	2	2	no	—
419	Q₈×C₅₉	—	2	2	no	—
420	Q₈×C₅₉	—	8	2	no	—
421	D₄×C₅₉	—	2	4	no	—
422	D₄×C₅₉	—	2	2	no	—
423	D₄×C₅₉	—	2	2	no	—
424	D₄×C₅₉	—	2	2	no	—
425	D₄×C₅₉	—	2	2	no	—
426	D₄×C₅₉	—	2	2	no	—
427	D₄×C₅₉	—	2	2	no	—
428	D₄×C₅₉	—	4	2	no	—
429	D₄×C₅₉	—	4	4	no	—
430	D₄×C₅₉	—	4	4	no	—
431	D₄×C₅₉	—	4	4	no	—
432	D₄×C₅₉	—	4	4	no	—
433	D₄×C₅₉	—	4	4	no	—
434	D₄×C₅₉	—	4	4	no	—
435	D₄×C₅₉	—	8	2	no	—
436	D₄×C₅₉	—	8	2	no	—
437	D₄×C₅₉	—	8	2	no	—
438	D₄×C₅₉	—	8	2	no	—
439	D₄×C₅₉	—	8	2	no	—
440	D₄×C₅₉	—	8	2	no	—
441	D₄×C₅₉	—	8	2	no	—
442	D₄×C₅₉	—	8	2	no	—
443	D₄×C₅₉	—	8	2	no	—
444	C₂×C₄×C₅₉	—	2	2	no	—
445	C₂×C₄×C₅₉	—	2	1	no	—
446	C₂×C₄×C₅₉	—	2	1	no	—
447	C₂×C₄×C₅₉	—	2	1	no	—
448	C₂×C₄×C₅₉	—	2	2	no	—
449	C₂×C₄×C₅₉	—	2	1	no	—
450	C₂×C₄×C₅₉	—	2	1	no	—
451	C₂×C₄×C₅₉	—	2	2	no	—
452	C₂×C₄×C₅₉	—	2	1	no	—
453	C₂×C₄×C₅₉	—	2	2	no	—
454	C₂×C₄×C₅₉	—	2	2	no	—
455	C₂×C₄×C₅₉	—	2	2	no	—
456	C₂×C₄×C₅₉	—	2	2	no	—
457	C₂×C₄×C₅₉	—	2	2	no	—
458	C₂×C₄×C₅₉	—	4	1	no	—
459	C₂×C₄×C₅₉	—	4	2	no	—
460	C₂×C₄×C₅₉	—	4	1	no	—
461	C₂×C₄×C₅₉	—	4	1	no	—
462	C₂×C₄×C₅₉	—	4	1	no	—
463	C₂×C₄×C₅₉	—	4	1	no	—
464	C₂×C₄×C₅₉	—	4	4	no	—
465	C₂×C₄×C₅₉	—	8	2	no	—
466	C₂×C₄×C₅₉	—	8	2	no	—
467	C₂×C₄×C₅₉	—	8	2	no	—
468	C₂×C₄×C₅₉	—	8	2	no	—
469	C₂×C₄×C₅₉	—	8	2	no	—
470	C₂×C₄×C₅₉	—	8	2	no	—
471	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
473	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
478	C₈×C₅₉	—	2	1	no	—
479	C₈×C₅₉	—	2	1	no	—
480	C₈×C₅₉	—	2	1	no	—
481	C₈×C₅₉	—	2	2	no	—
482	C₈×C₅₉	—	2	2	no	—
483	C₈×C₅₉	H(5,𝔽₂)	1	2	yes	—
484	#62257	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
485	C₂²×C₅₉	—	2	1	no	—
486	C₂²×C₅₉	—	2	1	no	—
487	C₂²×C₅₉	—	2	1	no	—
488	C₂²×C₅₉	—	2	1	no	—
489	C₂²×C₅₉	—	2	1	no	—
490	C₂²×C₅₉	—	2	2	no	—
491	C₂²×C₅₉	—	2	2	no	—
492	C₂²×C₅₉	—	2	1	no	—
493	C₂²×C₅₉	—	2	2	no	—
494	C₂²×C₅₉	—	2	1	no	—
495	C₂²×C₅₉	—	4	4	no	—
496	C₂²×C₅₉	—	4	2	no	—
497	C₂²×C₅₉	—	4	2	no	—
498	C₂²×C₅₉	—	4	2	no	—
499	C₂²×C₅₉	—	4	2	no	—
500	C₂²×C₅₉	—	4	2	no	—
501	C₂²×C₅₉	—	4	2	no	—
502	C₂²×C₅₉	—	4	2	no	—
503	C₂²×C₅₉	—	4	2	no	—
504	C₂²×C₅₉	—	4	2	no	—
505	C₂²×C₅₉	—	8	2	no	—
506	C₂²×C₅₉	—	16	4	no	—
507	C₂²×C₅₉	—	16	4	no	—
508	C₂²×C₅₉	#575	1	2	yes	—
509	C₂²×C₅₉	#576	1	2	yes	—
510	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
511	C₄×C₅₉	—	2	1	no	—
512	C₄×C₅₉	—	2	1	no	—
513	C₄×C₅₉	—	2	2	no	—
514	C₄×C₅₉	—	2	1	no	—
515	C₄×C₅₉	—	2	2	no	—
516	C₄×C₅₉	—	2	2	no	—
517	C₄×C₅₉	—	4	2	no	—
518	C₄×C₅₉	—	4	2	no	—
519	C₄×C₅₉	—	4	2	no	—
520	C₄×C₅₉	—	4	2	no	—
521	C₄×C₅₉	—	4	2	no	—
522	C₄×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
523	C₄×C₅₉	#585	1	1	yes	characteristic
524	#3519	C₂×C₅₉	1	2	yes	complemented
525	#3347	C₂×C₅₉	1	2	yes	complemented
526	#3346	C₂×C₅₉	1	2	yes	complemented
527	#3319	C₂×C₅₉	1	2	yes	complemented
528	#3318	C₂×C₅₉	1	2	yes	complemented
529	#3314	C₂×C₅₉	1	2	yes	complemented
530	#3309	C₂×C₅₉	1	2	yes	complemented
531	#3268	C₂×C₅₉	1	2	yes	complemented
532	#3264	C₂×C₅₉	1	2	yes	complemented
533	#3250	C₂×C₅₉	1	1	yes	characteristic, complemented
534	#3245	C₂×C₅₉	1	1	yes	characteristic, complemented
535	#3191	C₂×C₅₉	1	1	yes	characteristic, complemented
536	#3188	C₂×C₅₉	1	2	yes	complemented
537	#3186	C₂×C₅₉	1	1	yes	characteristic, complemented
538	#3180	C₂×C₅₉	1	2	yes	complemented
539	#3055	C₂×C₅₉	1	2	yes	complemented
540	#3050	C₂×C₅₉	1	1	yes	characteristic, complemented
541	C₂×#466	C₂×C₅₉	1	1	yes	characteristic, complemented
542	C₂×#435	C₂×C₅₉	1	1	yes	characteristic, complemented
543	C₂×C₅₉	—	2	2	no	—
544	C₂×C₅₉	—	2	2	no	—
545	C₂×C₅₉	—	4	1	no	—
546	C₂×C₅₉	—	4	2	no	—
547	C₂×C₅₉	—	8	2	no	—
548	C₂×C₅₉	—	8	2	no	—
549	C₂×C₅₉	—	8	2	no	—
550	C₂×C₅₉	#3496	1	1	yes	characteristic
551	C₂×C₅₉	C₂×#575	1	1	yes	characteristic
552	C₂×C₅₉	C₂×#576	1	1	yes	characteristic
553	C₂×AGL(1,ℤ/8)	C₂²×C₅₉	1	2	yes	complemented
554	C₂×#135	C₂²×C₅₉	1	1	yes	characteristic, complemented
555	C₂²×D₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
556	C₂²×M₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
557	C₂³×C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
558	#555	C₂²×C₅₉	1	2	yes	complemented
559	#554	C₂²×C₅₉	1	2	yes	complemented
560	#553	—	2	2	no	—
561	#553	C₂²×C₅₉	1	2	yes	—
562	#553	C₂²×C₅₉	1	2	yes	complemented
563	#550	C₂²×C₅₉	1	2	yes	complemented
564	#546	—	2	2	no	—
565	#546	—	2	2	no	—
566	#546	C₂²×C₅₉	1	2	yes	—
567	#546	C₂²×C₅₉	1	2	yes	complemented
568	D₄²	—	2	2	no	—
569	D₄²	C₂²×C₅₉	1	2	yes	complemented
570	#540	—	2	2	no	—
571	#538	—	2	2	no	—
572	#538	—	2	2	no	—
573	#532	C₂²×C₅₉	1	2	yes	complemented
574	#529	C₂²×C₅₉	1	2	yes	complemented
575	#525	C₂²×C₅₉	1	2	yes	complemented
576	#525	C₂²×C₅₉	1	2	yes	complemented
577	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
578	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
579	#518	—	2	2	no	—
580	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
581	#501	C₂²×C₅₉	1	2	yes	complemented
582	#496	C₂²×C₅₉	1	2	yes	complemented
583	#490	C₂²×C₅₉	1	2	yes	complemented
584	#489	C₂²×C₅₉	1	2	yes	complemented
585	#485	C₂²×C₅₉	1	2	yes	complemented
586	#484	C₂²×C₅₉	1	2	yes	complemented
587	#482	C₂²×C₅₉	1	2	yes	complemented
588	#482	C₂²×C₅₉	1	2	yes	complemented
589	#482	C₂²×C₅₉	1	2	yes	complemented
590	#481	C₂²×C₅₉	1	2	yes	complemented
591	#480	C₂²×C₅₉	1	2	yes	complemented
592	#480	C₂²×C₅₉	1	2	yes	complemented
593	#479	C₂²×C₅₉	1	2	yes	complemented
594	#478	C₂²×C₅₉	1	2	yes	complemented
595	#474	C₂²×C₅₉	1	2	yes	complemented
596	#474	C₂²×C₅₉	1	2	yes	complemented
597	#469	C₂²×C₅₉	1	2	yes	complemented
598	#469	C₂²×C₅₉	1	2	yes	complemented
599	#468	C₂²×C₅₉	1	2	yes	complemented
600	#468	C₂²×C₅₉	1	2	yes	complemented
601	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
602	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
603	#466	C₂²×C₅₉	1	1	yes	characteristic
604	#466	C₂²×C₅₉	1	2	yes	complemented
605	#466	C₂²×C₅₉	1	2	yes	complemented
606	#466	C₂²×C₅₉	1	2	yes	complemented
607	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
608	#466	C₂²×C₅₉	1	2	yes	complemented
609	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
610	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
611	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
612	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
613	#465	C₂²×C₅₉	1	2	yes	complemented
614	#465	C₂²×C₅₉	1	2	yes	complemented
615	#465	C₂²×C₅₉	1	2	yes	complemented
616	#465	C₂²×C₅₉	1	2	yes	complemented
617	#464	C₂²×C₅₉	1	2	yes	complemented
618	#463	C₂²×C₅₉	1	2	yes	complemented
619	#459	C₂²×C₅₉	1	2	yes	complemented
620	#459	C₂²×C₅₉	1	2	yes	complemented
621	#452	C₂²×C₅₉	1	2	yes	complemented
622	#450	C₂²×C₅₉	1	2	yes	complemented
623	#449	C₂²×C₅₉	1	2	yes	complemented
624	#449	C₂²×C₅₉	1	2	yes	complemented
625	#449	C₂²×C₅₉	1	2	yes	complemented
626	#447	C₂²×C₅₉	1	2	yes	complemented
627	#447	C₂²×C₅₉	1	2	yes	complemented
628	#447	C₂²×C₅₉	1	2	yes	complemented
629	#442	C₂²×C₅₉	1	2	yes	complemented
630	#442	C₂²×C₅₉	1	2	yes	complemented
631	#440	C₂²×C₅₉	1	2	yes	complemented
632	#440	C₂²×C₅₉	1	2	yes	complemented
633	#435	C₂²×C₅₉	1	2	yes	complemented
634	#435	C₂²×C₅₉	1	2	yes	complemented
635	#435	C₂²×C₅₉	1	2	yes	complemented
636	#435	C₂²×C₅₉	1	2	yes	complemented
637	#428	C₂²×C₅₉	1	2	yes	complemented
638	#427	C₂²×C₅₉	1	1	yes	characteristic, complemented
639	C₂×#107	C₂²×C₅₉	1	1	yes	characteristic, complemented
640	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
641	#418	C₂²×C₅₉	1	2	yes	complemented
642	#417	C₂²×C₅₉	1	2	yes	complemented
643	#416	C₂²×C₅₉	1	2	yes	complemented
644	C₂×#102	C₂²×C₅₉	1	2	yes	complemented
645	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
646	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
647	C₂×#97	C₂²×C₅₉	1	1	yes	characteristic, complemented
648	C₅₉	#62257	1	1	yes	characteristic, direct product factor, Sylow
649	C₂×#41	—	2	2	no	—
650	C₂×#41	C₂³×C₅₉	1	2	yes	—
651	C₂×#41	C₂³×C₅₉	1	2	yes	—
652	C₂²×D₄	—	2	2	no	—
653	C₂²×D₄	—	2	2	no	—
654	C₂²×D₄	—	2	2	no	—
655	C₂²×D₄	D₄×C₅₉	1	1	yes	characteristic
656	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
657	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
658	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
659	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
660	AGL(1,ℤ/8)	—	4	4	no	—
661	#135	—	4	2	no	—
662	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
663	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
664	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
665	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
666	C₂×D₈	—	4	2	no	—
667	C₂×D₈	C₂³×C₅₉	1	2	yes	—
668	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
669	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
670	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
671	C₂×D₈	C₂³×C₅₉	1	2	yes	—
672	C₂×D₈	C₂³×C₅₉	1	2	yes	—
673	C₂×M₁₆	—	4	2	no	—
674	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
675	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
676	C₂²×C₈	—	4	2	no	—
677	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
678	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
679	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
680	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
681	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
682	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
683	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
684	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
685	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
686	#127	—	2	2	no	—
687	#127	C₂³×C₅₉	1	2	yes	—
688	#126	—	2	2	no	—
689	#126	—	2	2	no	—
690	#126	—	2	2	no	—
691	#125	—	2	2	no	—
692	#125	C₂³×C₅₉	1	2	yes	—
693	#124	—	2	2	no	—
694	#124	—	2	2	no	—
695	#124	—	2	2	no	—
696	#124	C₂³×C₅₉	1	2	yes	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	—	2	2	no	—
700	#123	—	2	2	no	—
701	#123	—	2	2	no	—
702	#123	—	2	2	no	—
703	#123	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	—	2	2	no	—
706	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
707	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
708	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	C₂³×C₅₉	1	2	yes	—
723	#121	C₂³×C₅₉	1	2	yes	—
724	#121	C₂³×C₅₉	1	2	yes	—
725	#121	C₂³×C₅₉	1	2	yes	—
726	#121	C₂³×C₅₉	1	2	yes	—
727	#121	C₂³×C₅₉	1	2	yes	—
728	#121	C₂³×C₅₉	1	2	yes	—
729	#121	C₂³×C₅₉	1	2	yes	—
730	#121	C₂³×C₅₉	1	2	yes	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	#120	—	2	2	no	—
734	#120	—	2	2	no	—
735	#120	—	2	2	no	—
736	#120	—	2	2	no	—
737	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	2	no	—
741	C₄×D₄	—	2	2	no	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	2	no	—
746	C₄×D₄	—	2	2	no	—
747	C₄×D₄	—	2	2	no	—
748	C₄×D₄	D₄×C₅₉	1	2	yes	—
749	C₄×D₄	D₄×C₅₉	1	2	yes	—
750	C₄×D₄	C₂³×C₅₉	1	2	yes	—
751	C₄×D₄	C₂³×C₅₉	1	2	yes	—
752	C₄×D₄	C₂³×C₅₉	1	2	yes	—
753	C₄×D₄	C₂³×C₅₉	1	2	yes	—
754	C₄×D₄	C₂³×C₅₉	1	2	yes	—
755	#117	—	2	2	no	—
756	#117	—	2	2	no	—
757	#117	C₂³×C₅₉	1	2	yes	—
758	#117	C₂³×C₅₉	1	2	yes	—
759	C₂×C₄⋊C₄	D₄×C₅₉	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
761	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
762	C₂×C₂²⋊C₄	—	2	2	no	—
763	C₂×C₂²⋊C₄	—	2	2	no	—
764	C₂×C₂²⋊C₄	—	2	2	no	—
765	C₂×C₂²⋊C₄	—	2	2	no	—
766	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
768	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
769	#107	C₂³×C₅₉	1	2	yes	—
770	#107	C₂³×C₅₉	1	1	yes	characteristic
771	#107	C₂³×C₅₉	1	1	yes	characteristic
772	#107	C₂³×C₅₉	1	1	yes	characteristic
773	#107	C₂³×C₅₉	1	1	yes	characteristic
774	#107	C₂³×C₅₉	1	2	yes	—
775	#107	C₂³×C₅₉	1	2	yes	—
776	#106	C₂³×C₅₉	1	2	yes	—
777	#106	C₂³×C₅₉	1	2	yes	—
778	#106	C₂³×C₅₉	1	2	yes	—
779	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
780	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
781	#103	C₂³×C₅₉	1	2	yes	—
782	#103	C₂³×C₅₉	1	2	yes	—
783	#103	C₂³×C₅₉	1	2	yes	—
784	#103	C₂³×C₅₉	1	2	yes	—
785	#102	C₂³×C₅₉	1	2	yes	—
786	#102	C₂³×C₅₉	1	2	yes	—
787	#102	C₂³×C₅₉	1	2	yes	—
788	#102	C₂³×C₅₉	1	2	yes	—
789	#102	C₂³×C₅₉	1	2	yes	—
790	#102	C₂³×C₅₉	1	2	yes	—
791	#102	C₂³×C₅₉	1	2	yes	—
792	#102	C₂³×C₅₉	1	2	yes	—
793	#102	C₂³×C₅₉	1	2	yes	—
794	#102	C₂³×C₅₉	1	2	yes	—
795	#102	C₂³×C₅₉	1	2	yes	—
796	#102	C₂³×C₅₉	1	2	yes	—
797	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
798	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
799	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
800	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
801	#97	C₂³×C₅₉	1	2	yes	—
802	#97	C₂³×C₅₉	1	2	yes	—
803	C₂⁴	—	2	2	no	—
804	C₂⁴	—	2	2	no	—
805	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
806	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
807	#41	—	4	2	no	—
808	#41	—	4	2	no	—
809	#41	—	4	2	no	—
810	#41	—	4	2	no	—
811	#41	—	8	4	no	—
812	C₂×Q₈	—	2	2	no	—
813	C₂×Q₈	C₂⁴×C₅₉	1	2	yes	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	4	8	no	—
835	C₂×D₄	—	8	4	no	—
836	C₂×D₄	—	8	4	no	—
837	C₂×D₄	C₂×D₄×C₅₉	1	2	yes	—
838	C₂×D₄	C₂×D₄×C₅₉	1	2	yes	—
839	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
840	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
841	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	—	4	1	no	—
851	C₂²×C₄	—	4	1	no	—
852	C₂²×C₄	—	4	1	no	—
853	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
854	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
855	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
856	C₂²×C₄	C₂×D₄×C₅₉	1	2	yes	—
857	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
858	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
859	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
864	Q₁₆	—	4	1	no	—
865	SD₁₆	—	2	4	no	—
866	SD₁₆	—	4	2	no	—
867	SD₁₆	—	4	2	no	—
868	D₈	—	2	4	no	—
869	D₈	—	4	1	no	—
870	D₈	—	4	1	no	—
871	D₈	—	4	1	no	—
872	D₈	—	4	2	no	—
873	D₈	—	4	2	no	—
874	M₁₆	—	2	4	no	—
875	M₁₆	—	4	2	no	—
876	C₂×C₈	—	2	2	no	—
877	C₂×C₈	—	2	2	no	—
878	C₂×C₈	—	2	2	no	—
879	C₂×C₈	—	4	1	no	—
880	C₂×C₈	—	4	1	no	—
881	C₂×C₈	—	4	1	no	—
882	C₂×C₈	—	4	1	no	—
883	C₂×C₈	—	4	1	no	—
884	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
885	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
886	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
887	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
888	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
889	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	2	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
900	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
901	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
902	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
903	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
904	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
925	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
926	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
927	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
928	C₄²	—	2	2	no	—
929	C₄²	—	2	2	no	—
930	C₄²	—	2	2	no	—
931	C₄²	C₂×D₄×C₅₉	1	2	yes	—
932	C₄²	C₂⁴×C₅₉	1	2	yes	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	4	1	no	—
940	C₂³	—	4	1	no	—
941	C₂³	—	4	1	no	—
942	C₂³	—	4	4	no	—
943	C₂³	—	4	4	no	—
944	C₂³	—	8	2	no	—
945	C₂³	—	8	2	no	—
946	C₂³	—	8	2	no	—
947	C₂³	—	8	2	no	—
948	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
949	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
950	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
951	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
952	Q₈	—	2	2	no	—
953	Q₈	—	2	2	no	—
954	Q₈	—	8	2	no	—
955	D₄	—	2	4	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	2	2	no	—
960	D₄	—	2	2	no	—
961	D₄	—	2	2	no	—
962	D₄	—	4	2	no	—
963	D₄	—	4	4	no	—
964	D₄	—	4	4	no	—
965	D₄	—	4	4	no	—
966	D₄	—	4	4	no	—
967	D₄	—	4	4	no	—
968	D₄	—	4	4	no	—
969	D₄	—	8	2	no	—
970	D₄	—	8	2	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	2	no	—
975	D₄	—	8	2	no	—
976	D₄	—	8	2	no	—
977	D₄	—	8	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	4	1	no	—
993	C₂×C₄	—	4	2	no	—
994	C₂×C₄	—	4	1	no	—
995	C₂×C₄	—	4	1	no	—
996	C₂×C₄	—	4	1	no	—
997	C₂×C₄	—	4	1	no	—
998	C₂×C₄	—	4	4	no	—
999	C₂×C₄	—	8	2	no	—
1000	C₂×C₄	—	8	2	no	—
1001	C₂×C₄	—	8	2	no	—
1002	C₂×C₄	—	8	2	no	—
1003	C₂×C₄	—	8	2	no	—
1004	C₂×C₄	—	8	2	no	—
1005	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1007	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1008	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1010	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1011	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1012	C₈	—	2	1	no	—
1013	C₈	—	2	1	no	—
1014	C₈	—	2	1	no	—
1015	C₈	—	2	2	no	—
1016	C₈	—	2	2	no	—
1017	C₈	H(5,𝔽₂)×C₅₉	1	2	yes	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	2	1	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	1	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	4	4	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	2	no	—
1036	C₂²	—	4	2	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	8	2	no	—
1039	C₂²	—	16	4	no	—
1040	C₂²	—	16	4	no	—
1041	C₂²	C₅₉×#575	1	2	yes	—
1042	C₂²	C₅₉×#576	1	2	yes	—
1043	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1044	C₄	—	2	2	no	—
1045	C₄	—	2	2	no	—
1046	C₄	—	2	1	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	2	2	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	4	2	no	—
1051	C₄	—	4	2	no	—
1052	C₄	—	4	2	no	—
1053	C₄	—	4	2	no	—
1054	C₄	—	4	2	no	—
1055	C₄	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1056	C₄	C₅₉×#585	1	1	yes	characteristic
1057	C₂	—	2	2	no	—
1058	C₂	—	2	2	no	—
1059	C₂	—	4	1	no	—
1060	C₂	—	4	2	no	—
1061	C₂	—	8	2	no	—
1062	C₂	—	8	2	no	—
1063	C₂	—	8	2	no	—
1064	C₂	C₅₉×#3496	1	1	yes	characteristic
1065	C₂	C₂×C₅₉×#575	1	1	yes	characteristic
1066	C₂	C₂×C₅₉×#576	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 ◁ C₂×C₄×D₄×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3519	C₂	semidirect
2. C₅₉×#3347	C₂	semidirect
3. C₅₉×#3346	C₂	semidirect
4. C₅₉×#3319	C₂	semidirect
5. C₅₉×#3318	C₂	semidirect
6. C₅₉×#3314	C₂	semidirect
7. C₅₉×#3309	C₂	semidirect
8. C₅₉×#3268	C₂	semidirect
9. C₅₉×#3264	C₂	semidirect
10. C₅₉×#3250	C₂	semidirect
11. C₅₉×#3245	C₂	semidirect
12. C₅₉×#3191	C₂	semidirect
13. C₅₉×#3188	C₂	semidirect
14. C₅₉×#3186	C₂	semidirect
15. C₅₉×#3180	C₂	semidirect
16. C₅₉×#3055	C₂	semidirect
17. C₅₉×#3050	C₂	semidirect
18. C₂×C₅₉×#466	C₂	semidirect
19. C₂×C₅₉×#435	C₂	semidirect
20. C₂×AGL(1,ℤ/8)×C₅₉	C₂²	semidirect
21. C₂×#135×C₅₉	C₂²	semidirect
22. C₂²×D₈×C₅₉	C₂²	semidirect
23. C₂²×M₁₆×C₅₉	C₂²	semidirect
24. C₂³×C₈×C₅₉	C₂²	semidirect
25. C₅₉×#555	C₂²	semidirect
26. C₅₉×#554	C₂²	semidirect
29. C₅₉×#553	C₂²	semidirect
30. C₅₉×#550	C₂²	semidirect
34. C₅₉×#546	C₂²	semidirect
36. D₄²×C₅₉	C₂²	semidirect
40. C₅₉×#532	C₂²	semidirect
41. C₅₉×#529	C₂²	semidirect
42. C₅₉×#525	C₂²	semidirect
43. C₅₉×#525	C₂²	semidirect
44. C₂×#121×C₅₉	C₂²	semidirect
45. C₂×#121×C₅₉	C₂²	semidirect
48. C₅₉×#501	C₂²	semidirect
49. C₅₉×#496	C₂²	semidirect
50. C₅₉×#490	C₂²	semidirect
51. C₅₉×#489	C₂²	semidirect
52. C₅₉×#485	C₂²	semidirect
53. C₅₉×#484	C₂²	semidirect
54. C₅₉×#482	C₂²	semidirect
55. C₅₉×#482	C₂²	semidirect
56. C₅₉×#482	C₂²	semidirect
57. C₅₉×#481	C₂²	semidirect
58. C₅₉×#480	C₂²	semidirect
59. C₅₉×#480	C₂²	semidirect
60. C₅₉×#479	C₂²	semidirect
61. C₅₉×#478	C₂²	semidirect
62. C₅₉×#474	C₂²	semidirect
63. C₅₉×#474	C₂²	semidirect
64. C₅₉×#469	C₂²	semidirect
65. C₅₉×#469	C₂²	semidirect
66. C₅₉×#468	C₂²	semidirect
67. C₅₉×#468	C₂²	semidirect
68. C₅₉×#467	C₂²	semidirect
69. C₅₉×#467	C₂²	semidirect
71. C₅₉×#466	C₂²	semidirect
72. C₅₉×#466	C₂²	semidirect
73. C₅₉×#466	C₂²	semidirect
74. C₅₉×#466	C₂²	semidirect
75. C₅₉×#466	C₂²	semidirect
76. C₅₉×#466	C₂²	semidirect
77. C₅₉×#466	C₂²	semidirect
78. C₅₉×#466	C₂²	semidirect
79. C₅₉×#466	C₂²	semidirect
80. C₅₉×#465	C₂²	semidirect
81. C₅₉×#465	C₂²	semidirect
82. C₅₉×#465	C₂²	semidirect
83. C₅₉×#465	C₂²	semidirect
84. C₅₉×#464	C₂²	semidirect
85. C₅₉×#463	C₂²	semidirect
86. C₅₉×#459	C₂²	semidirect
87. C₅₉×#459	C₂²	semidirect
88. C₅₉×#452	C₂²	semidirect
89. C₅₉×#450	C₂²	semidirect
90. C₅₉×#449	C₂²	semidirect
91. C₅₉×#449	C₂²	semidirect
92. C₅₉×#449	C₂²	semidirect
93. C₅₉×#447	C₂²	semidirect
94. C₅₉×#447	C₂²	semidirect
95. C₅₉×#447	C₂²	semidirect
96. C₅₉×#442	C₂²	semidirect
97. C₅₉×#442	C₂²	semidirect
98. C₅₉×#440	C₂²	semidirect
99. C₅₉×#440	C₂²	semidirect
100. C₅₉×#435	C₂²	semidirect
101. C₅₉×#435	C₂²	semidirect
102. C₅₉×#435	C₂²	semidirect
103. C₅₉×#435	C₂²	semidirect
104. C₅₉×#428	C₂²	semidirect
105. C₅₉×#427	C₂²	semidirect
106. C₂×#107×C₅₉	C₂²	semidirect
107. C₂×C₄⋊C₈×C₅₉	C₂²	semidirect
108. C₅₉×#418	C₂²	semidirect
109. C₅₉×#417	C₂²	semidirect
110. C₅₉×#416	C₂²	semidirect
111. C₂×#102×C₅₉	C₂²	semidirect
112. C₂×C₂²⋊C₈×C₅₉	C₂²	semidirect
113. C₂×C₂²⋊C₈×C₅₉	C₂²	semidirect
114. C₂×#97×C₅₉	C₂²	semidirect
484. #62257	C₅₉	direct (N × H)
524. #3519	C₂×C₅₉	semidirect
525. #3347	C₂×C₅₉	semidirect
526. #3346	C₂×C₅₉	semidirect
527. #3319	C₂×C₅₉	semidirect
528. #3318	C₂×C₅₉	semidirect
529. #3314	C₂×C₅₉	semidirect
530. #3309	C₂×C₅₉	semidirect
531. #3268	C₂×C₅₉	semidirect
532. #3264	C₂×C₅₉	semidirect
533. #3250	C₂×C₅₉	semidirect
534. #3245	C₂×C₅₉	semidirect
535. #3191	C₂×C₅₉	semidirect
536. #3188	C₂×C₅₉	semidirect
537. #3186	C₂×C₅₉	semidirect
538. #3180	C₂×C₅₉	semidirect
539. #3055	C₂×C₅₉	semidirect
540. #3050	C₂×C₅₉	semidirect
541. C₂×#466	C₂×C₅₉	semidirect
542. C₂×#435	C₂×C₅₉	semidirect
553. C₂×AGL(1,ℤ/8)	C₂²×C₅₉	semidirect
554. C₂×#135	C₂²×C₅₉	semidirect
555. C₂²×D₈	C₂²×C₅₉	semidirect
556. C₂²×M₁₆	C₂²×C₅₉	semidirect
557. C₂³×C₈	C₂²×C₅₉	semidirect
558. #555	C₂²×C₅₉	semidirect
559. #554	C₂²×C₅₉	semidirect
562. #553	C₂²×C₅₉	semidirect
563. #550	C₂²×C₅₉	semidirect
567. #546	C₂²×C₅₉	semidirect
569. D₄²	C₂²×C₅₉	semidirect
573. #532	C₂²×C₅₉	semidirect
574. #529	C₂²×C₅₉	semidirect
575. #525	C₂²×C₅₉	semidirect
576. #525	C₂²×C₅₉	semidirect
577. C₂×#121	C₂²×C₅₉	semidirect
578. C₂×#121	C₂²×C₅₉	semidirect
581. #501	C₂²×C₅₉	semidirect
582. #496	C₂²×C₅₉	semidirect
583. #490	C₂²×C₅₉	semidirect
584. #489	C₂²×C₅₉	semidirect
585. #485	C₂²×C₅₉	semidirect
586. #484	C₂²×C₅₉	semidirect
587. #482	C₂²×C₅₉	semidirect
588. #482	C₂²×C₅₉	semidirect
589. #482	C₂²×C₅₉	semidirect
590. #481	C₂²×C₅₉	semidirect
591. #480	C₂²×C₅₉	semidirect
592. #480	C₂²×C₅₉	semidirect
593. #479	C₂²×C₅₉	semidirect
594. #478	C₂²×C₅₉	semidirect
595. #474	C₂²×C₅₉	semidirect
596. #474	C₂²×C₅₉	semidirect
597. #469	C₂²×C₅₉	semidirect
598. #469	C₂²×C₅₉	semidirect
599. #468	C₂²×C₅₉	semidirect
600. #468	C₂²×C₅₉	semidirect
601. #467	C₂²×C₅₉	semidirect
602. #467	C₂²×C₅₉	semidirect
604. #466	C₂²×C₅₉	semidirect
605. #466	C₂²×C₅₉	semidirect
606. #466	C₂²×C₅₉	semidirect
607. #466	C₂²×C₅₉	semidirect
608. #466	C₂²×C₅₉	semidirect
609. #466	C₂²×C₅₉	semidirect
610. #466	C₂²×C₅₉	semidirect
611. #466	C₂²×C₅₉	semidirect
612. #466	C₂²×C₅₉	semidirect
613. #465	C₂²×C₅₉	semidirect
614. #465	C₂²×C₅₉	semidirect
615. #465	C₂²×C₅₉	semidirect
616. #465	C₂²×C₅₉	semidirect
617. #464	C₂²×C₅₉	semidirect
618. #463	C₂²×C₅₉	semidirect
619. #459	C₂²×C₅₉	semidirect
620. #459	C₂²×C₅₉	semidirect
621. #452	C₂²×C₅₉	semidirect
622. #450	C₂²×C₅₉	semidirect
623. #449	C₂²×C₅₉	semidirect
624. #449	C₂²×C₅₉	semidirect
625. #449	C₂²×C₅₉	semidirect
626. #447	C₂²×C₅₉	semidirect
627. #447	C₂²×C₅₉	semidirect
628. #447	C₂²×C₅₉	semidirect
629. #442	C₂²×C₅₉	semidirect
630. #442	C₂²×C₅₉	semidirect
631. #440	C₂²×C₅₉	semidirect
632. #440	C₂²×C₅₉	semidirect
633. #435	C₂²×C₅₉	semidirect
634. #435	C₂²×C₅₉	semidirect
635. #435	C₂²×C₅₉	semidirect
636. #435	C₂²×C₅₉	semidirect
637. #428	C₂²×C₅₉	semidirect
638. #427	C₂²×C₅₉	semidirect
639. C₂×#107	C₂²×C₅₉	semidirect
640. C₂×C₄⋊C₈	C₂²×C₅₉	semidirect
641. #418	C₂²×C₅₉	semidirect
642. #417	C₂²×C₅₉	semidirect
643. #416	C₂²×C₅₉	semidirect
644. C₂×#102	C₂²×C₅₉	semidirect
645. C₂×C₂²⋊C₈	C₂²×C₅₉	semidirect
646. C₂×C₂²⋊C₈	C₂²×C₅₉	semidirect
647. C₂×#97	C₂²×C₅₉	semidirect
648. C₅₉	#62257	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×#3519	2
C₅₉×#3347	2
C₅₉×#3346	2
C₅₉×#3319	2
C₅₉×#3318	2
C₅₉×#3314	2
C₅₉×#3309	2
C₅₉×#3268	2
C₅₉×#3264	2
C₅₉×#3250	2
C₅₉×#3245	2
C₅₉×#3191	2
C₅₉×#3188	2
C₅₉×#3186	2
C₅₉×#3180	2
C₅₉×#3055	2
C₅₉×#3050	2
C₂×C₅₉×#466	2
C₂×C₅₉×#435	2
#62257	59

Subgroups — C59×#62257 #28474366

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62257 #28474366