Subgroups — #29496002

Order 15104.

7346 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21438412	C₂	1	4	yes	maximal, complemented
2	#21438389	C₂	1	4	yes	maximal, complemented
3	#21438371	C₂	1	2	yes	maximal, complemented
4	#21438356	C₂	1	2	yes	maximal, complemented
5	#21438345	C₂	1	1	yes	maximal, characteristic, complemented
6	#21438335	C₂	1	1	yes	maximal, characteristic, complemented
7	#21438323	C₂	1	2	yes	maximal, complemented
8	#21438305	C₂	1	4	yes	maximal, complemented
9	#21438286	C₂	1	4	yes	maximal, complemented
10	#21438267	C₂	1	4	yes	maximal, complemented
11	#21438251	C₂	1	4	yes	maximal, complemented
12	#21438234	C₂	1	4	yes	maximal, complemented
13	#21437698	C₂	1	4	yes	maximal, complemented
14	#21437654	C₂	1	4	yes	maximal, complemented
15	D₄×#11745685	C₂	1	4	yes	maximal, complemented
16	#21437514	C₂	1	4	yes	maximal, complemented
17	#21437503	C₂	1	4	yes	maximal, complemented
18	#21437486	C₂	1	2	yes	maximal, complemented
19	#21437425	C₂	1	2	yes	maximal, complemented
20	C₂×#16837913	C₂	1	2	yes	maximal, complemented
21	C₂×C₅₉×#525	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#11745685	C₂²	1	2	yes	complemented
23	C₂²×#11745685	C₂²	1	2	yes	complemented
24	#16838155	C₂²	1	4	yes	complemented
25	#16838153	C₂²	1	8	yes	complemented
26	#16838149	C₂²	1	8	yes	complemented
27	#16838148	C₂²	1	8	yes	complemented
28	#16838147	C₂²	1	8	yes	complemented
29	#16838145	C₂²	1	4	yes	complemented
30	#16838142	C₂²	1	4	yes	complemented
31	#16838141	C₂²	1	8	yes	complemented
32	#16838141	C₂²	1	4	yes	complemented
33	#16838140	C₂²	1	8	yes	complemented
34	#16838136	C₂²	1	4	yes	complemented
35	#16838122	C₂²	1	4	yes	complemented
36	#16838117	C₂²	1	4	yes	complemented
37	#16838109	C₂²	1	4	yes	complemented
38	#16838106	C₂²	1	8	yes	complemented
39	#16838098	C₂²	1	4	yes	complemented
40	#16838098	C₂²	1	4	yes	complemented
41	#16838097	C₂²	1	8	yes	complemented
42	#16838095	C₂²	1	8	yes	complemented
43	#16838092	C₂²	1	4	yes	complemented
44	#16838092	C₂²	1	4	yes	complemented
45	#16838087	C₂²	1	8	yes	complemented
46	#16838083	C₂²	1	4	yes	complemented
47	#16838080	C₂²	1	4	yes	complemented
48	#16838079	C₂²	1	8	yes	complemented
49	#16838078	C₂²	1	8	yes	complemented
50	#16838078	C₂²	1	8	yes	complemented
51	#16838073	C₂²	1	4	yes	complemented
52	D₄×Dic₁₁₈	C₂²	1	4	yes	complemented
53	#16838061	C₂²	1	4	yes	complemented
54	#16838061	C₂²	1	4	yes	complemented
55	#16838057	C₂²	1	4	yes	complemented
56	#16838056	C₂²	1	4	yes	complemented
57	#16838053	C₂²	1	8	yes	complemented
58	#16838048	C₂²	1	4	yes	complemented
59	#16838048	C₂²	1	4	yes	complemented
60	#16838046	C₂²	1	8	yes	complemented
61	#16838042	C₂²	1	8	yes	complemented
62	#16838042	C₂²	1	8	yes	complemented
63	#16838041	C₂²	1	8	yes	complemented
64	#16838039	C₂²	1	8	yes	complemented
65	D₄×D₂₃₆	C₂²	1	4	yes	complemented
66	D₄×C₂²⋊D₅₉	C₂²	1	8	yes	complemented
67	#16838034	C₂²	1	4	yes	complemented
68	#16838031	C₂²	1	4	yes	complemented
69	#16838027	C₂²	1	4	yes	complemented
70	#16838023	C₂²	1	4	yes	complemented
71	#16838023	C₂²	1	4	yes	complemented
72	#16838022	C₂²	1	8	yes	complemented
73	#16838020	C₂²	1	8	yes	complemented
74	#16838014	C₂²	1	2	yes	complemented
75	#16838014	C₂²	1	2	yes	complemented
76	#16838007	C₂²	1	2	yes	complemented
77	#16838007	C₂²	1	2	yes	complemented
78	#16838004	C₂²	1	8	yes	complemented
79	#16838002	C₂²	1	8	yes	complemented
80	#16838001	C₂²	1	4	yes	complemented
81	#16837999	C₂²	1	8	yes	complemented
82	#16837998	C₂²	1	8	yes	complemented
83	#16837997	C₂²	1	4	yes	complemented
84	#16837995	C₂²	1	8	yes	complemented
85	#16837992	C₂²	1	4	yes	complemented
86	#16837990	C₂²	1	8	yes	complemented
87	#16837989	C₂²	1	4	yes	complemented
88	#16837988	C₂²	1	8	yes	complemented
89	#16837987	C₂²	1	8	yes	complemented
90	#16837987	C₂²	1	8	yes	complemented
91	#16837984	C₂²	1	8	yes	complemented
92	#16837980	C₂²	1	4	yes	complemented
93	#16837980	C₂²	1	4	yes	complemented
94	#16837979	C₂²	1	4	yes	complemented
95	#16837976	C₂²	1	4	yes	complemented
96	#16837973	C₂²	1	2	yes	complemented
97	#16837973	C₂²	1	2	yes	complemented
98	#16837969	C₂²	1	4	yes	complemented
99	#16837967	C₂²	1	8	yes	complemented
100	#16837966	C₂²	1	2	yes	complemented
101	#16837966	C₂²	1	2	yes	complemented
102	#16837962	C₂²	1	8	yes	complemented
103	#16837961	C₂²	1	4	yes	complemented
104	#16837961	C₂²	1	4	yes	complemented
105	#16837960	C₂²	1	4	yes	complemented
106	#16837959	C₂²	1	2	yes	complemented
107	#16837952	C₂²	1	2	yes	complemented
108	#16837949	C₂²	1	8	yes	complemented
109	#16837948	C₂²	1	4	yes	complemented
110	#16837948	C₂²	1	4	yes	complemented
111	#16837934	C₂²	1	8	yes	complemented
112	#16837932	C₂²	1	8	yes	complemented
113	#16837932	C₂²	1	8	yes	complemented
114	#16837930	C₂²	1	8	yes	complemented
115	#16837930	C₂²	1	8	yes	complemented
116	#16837913	C₂²	1	4	yes	complemented
117	#16837913	C₂²	1	4	yes	complemented
118	#16837913	C₂²	1	4	yes	complemented
119	#16837913	C₂²	1	4	yes	complemented
120	#16837913	C₂²	1	4	yes	complemented
121	#16837913	C₂²	1	4	yes	complemented
122	#16837913	C₂²	1	4	yes	complemented
123	#16837913	C₂²	1	4	yes	complemented
124	#16837913	C₂²	1	4	yes	complemented
125	#16837911	C₂²	1	8	yes	complemented
126	#16837911	C₂²	1	8	yes	complemented
127	#16837909	C₂²	1	4	yes	complemented
128	#16837909	C₂²	1	4	yes	complemented
129	C₂×#14273710	C₂²	1	4	yes	complemented
130	C₂×#14273706	C₂²	1	2	yes	complemented
131	C₂×#14273706	C₂²	1	2	yes	complemented
132	C₂×#14273701	C₂²	1	2	yes	complemented
133	C₂×#14273701	C₂²	1	2	yes	complemented
134	C₂×#14273696	C₂²	1	4	yes	complemented
135	C₄×#11745685	C₂²	1	4	yes	complemented
136	C₄×#11745687	C₂²	1	8	yes	complemented
137	C₂×C₄×C₂²⋊D₅₉	C₂²	1	4	yes	complemented
138	C₂×C₄×C₂²⋊D₅₉	C₂²	1	4	yes	complemented
139	C₄×D₄×D₅₉	C₂²	1	8	yes	complemented
140	C₂×#14273686	C₂²	1	2	yes	complemented
141	C₂×#14273686	C₂²	1	2	yes	complemented
142	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
143	C₂⁴×C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
144	C₅₉×#525	C₂²	1	1	yes	characteristic
145	C₅₉×#525	C₂²	1	2	yes	complemented
146	C₅₉×#525	C₂²	1	2	yes	complemented
147	C₅₉×#525	C₂²	1	2	yes	complemented
148	C₅₉×#525	C₂²	1	2	yes	complemented
149	C₅₉×#525	C₂²	1	1	yes	characteristic, complemented
150	C₅₉×#525	C₂²	1	1	yes	characteristic, complemented
151	C₅₉×#525	C₂²	1	1	yes	characteristic, complemented
152	C₅₉×#525	C₂²	1	4	yes	complemented
153	C₂×#123×C₅₉	C₂²	1	2	yes	complemented
154	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	2	yes	complemented
155	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
156	C₂×#120×C₅₉	C₂²	1	2	yes	complemented
157	C₂×C₄×D₄×C₅₉	C₂²	1	4	yes	complemented
158	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic, complemented
159	C₂×#11745685	—	4	8	no	—
160	C₂×#11745685	—	4	8	no	—
161	C₂×#11745685	C₂³	1	4	yes	—
162	C₂×#11745685	C₂³	1	4	yes	—
163	C₂×#11745685	C₂³	1	4	yes	—
164	C₂×#11745685	C₂³	1	4	yes	—
165	C₂×#11745685	C₂³	1	4	yes	—
166	C₂×#11745685	C₂³	1	4	yes	complemented
167	C₂×#11745685	C₂³	1	4	yes	complemented
168	C₂×#11745687	C₂³	1	8	yes	—
169	C₂²×Dic₁₁₈	C₂³	1	2	yes	—
170	C₂²×Dic₁₁₈	C₂³	1	2	yes	complemented
171	C₂²×D₂₃₆	C₂³	1	2	yes	—
172	C₂²×D₂₃₆	C₂³	1	2	yes	complemented
173	C₂²×C₂²⋊D₅₉	C₂³	1	4	yes	—
174	C₂²×C₂²⋊D₅₉	C₂³	1	4	yes	—
175	C₂²×C₂²⋊D₅₉	C₂³	1	4	yes	—
176	C₂²×C₂²⋊D₅₉	C₂³	1	4	yes	—
177	C₂×D₄×D₅₉	C₂³	1	8	yes	—
178	C₂²×C₄×D₅₉	C₂³	1	4	yes	—
179	C₂²×C₄×D₅₉	C₂³	1	4	yes	complemented
180	#14273727	C₂³	1	2	yes	complemented
181	#14273727	C₂³	1	4	yes	complemented
182	#14273726	C₂³	1	8	yes	complemented
183	#14273725	C₂³	1	4	yes	complemented
184	#14273725	C₂³	1	4	yes	complemented
185	#14273724	C₂³	1	2	yes	complemented
186	#14273723	C₂³	1	4	yes	—
187	#14273723	C₂³	1	4	yes	—
188	#14273723	C₂³	1	8	yes	—
189	#14273722	C₂³	1	8	yes	complemented
190	#14273722	C₂³	1	8	yes	complemented
191	#14273722	C₂³	1	8	yes	complemented
192	#14273722	C₂³	1	8	yes	complemented
193	#14273720	C₂³	1	8	yes	—
194	#14273720	C₂³	1	8	yes	—
195	#14273720	C₂³	1	8	yes	—
196	#14273720	C₂³	1	8	yes	—
197	#14273720	C₂³	1	8	yes	complemented
198	#14273720	C₂³	1	8	yes	complemented
199	#14273719	C₂³	1	2	yes	complemented
200	#14273719	C₂³	1	2	yes	complemented
201	#14273718	C₂³	1	8	yes	complemented
202	#14273717	C₂³	1	8	yes	complemented
203	#14273717	C₂³	1	8	yes	complemented
204	#14273717	C₂³	1	8	yes	complemented
205	#14273717	C₂³	1	8	yes	complemented
206	#14273716	C₂³	1	4	yes	complemented
207	#14273716	C₂³	1	4	yes	complemented
208	#14273715	C₂³	1	4	yes	complemented
209	#14273714	C₂³	1	8	yes	—
210	#14273714	C₂³	1	4	yes	—
211	#14273714	C₂³	1	4	yes	—
212	#14273713	C₂³	1	8	yes	—
213	#14273713	C₂³	1	8	yes	—
214	#14273713	C₂³	1	8	yes	—
215	#14273713	C₂³	1	8	yes	—
216	#14273713	C₂³	1	8	yes	complemented
217	#14273713	C₂³	1	8	yes	complemented
218	#14273712	C₂³	1	8	yes	complemented
219	#14273712	C₂³	1	8	yes	complemented
220	#14273712	C₂³	1	8	yes	complemented
221	#14273712	C₂³	1	8	yes	complemented
222	#14273711	C₂³	1	8	yes	—
223	#14273711	C₂³	1	8	yes	complemented
224	#14273710	C₂³	1	8	yes	—
225	#14273710	C₂³	1	8	yes	—
226	#14273710	C₂³	1	8	yes	—
227	#14273710	C₂³	1	8	yes	—
228	#14273710	C₂³	1	8	yes	—
229	#14273709	C₂³	1	8	yes	—
230	#14273709	C₂³	1	8	yes	—
231	#14273709	C₂³	1	8	yes	—
232	#14273709	C₂³	1	8	yes	—
233	#14273709	C₂³	1	8	yes	complemented
234	#14273709	C₂³	1	8	yes	complemented
235	#14273708	C₂³	1	8	yes	—
236	#14273708	C₂³	1	4	yes	—
237	#14273708	C₂³	1	4	yes	—
238	#14273708	C₂³	1	8	yes	—
239	#14273708	C₂³	1	4	yes	complemented
240	#14273708	C₂³	1	4	yes	complemented
241	#14273707	C₂³	1	8	yes	complemented
242	#14273706	C₂³	1	4	yes	—
243	#14273706	C₂³	1	4	yes	—
244	#14273706	C₂³	1	4	yes	—
245	#14273706	C₂³	1	4	yes	—
246	#14273706	C₂³	1	4	yes	—
247	#14273706	C₂³	1	4	yes	—
248	#14273706	C₂³	1	4	yes	—
249	#14273706	C₂³	1	4	yes	—
250	#14273706	C₂³	1	8	yes	—
251	#14273706	C₂³	1	4	yes	complemented
252	#14273706	C₂³	1	4	yes	complemented
253	#14273705	C₂³	1	8	yes	complemented
254	#14273705	C₂³	1	8	yes	complemented
255	#14273705	C₂³	1	8	yes	complemented
256	#14273705	C₂³	1	8	yes	complemented
257	#14273704	C₂³	1	8	yes	—
258	#14273704	C₂³	1	8	yes	—
259	#14273704	C₂³	1	8	yes	complemented
260	#14273704	C₂³	1	8	yes	complemented
261	#14273703	C₂³	1	8	yes	complemented
262	#14273703	C₂³	1	8	yes	complemented
263	#14273702	C₂³	1	8	yes	complemented
264	#14273701	C₂³	1	4	yes	—
265	#14273701	C₂³	1	4	yes	—
266	#14273701	C₂³	1	4	yes	—
267	#14273701	C₂³	1	4	yes	—
268	#14273701	C₂³	1	4	yes	—
269	#14273701	C₂³	1	4	yes	—
270	#14273701	C₂³	1	4	yes	—
271	#14273701	C₂³	1	4	yes	—
272	#14273701	C₂³	1	8	yes	—
273	#14273701	C₂³	1	4	yes	complemented
274	#14273701	C₂³	1	4	yes	complemented
275	#14273700	C₂³	1	8	yes	—
276	#14273700	C₂³	1	8	yes	—
277	#14273700	C₂³	1	8	yes	—
278	#14273700	C₂³	1	8	yes	—
279	#14273700	C₂³	1	8	yes	complemented
280	#14273700	C₂³	1	8	yes	complemented
281	#14273699	C₂³	1	8	yes	—
282	#14273699	C₂³	1	8	yes	—
283	#14273699	C₂³	1	8	yes	—
284	#14273699	C₂³	1	8	yes	—
285	#14273699	C₂³	1	8	yes	—
286	#14273699	C₂³	1	8	yes	—
287	#14273699	C₂³	1	8	yes	complemented
288	#14273699	C₂³	1	8	yes	complemented
289	#14273698	C₂³	1	8	yes	—
290	#14273698	C₂³	1	8	yes	—
291	#14273698	C₂³	1	8	yes	—
292	#14273698	C₂³	1	8	yes	—
293	#14273697	C₂³	1	8	yes	—
294	#14273697	C₂³	1	8	yes	complemented
295	#14273696	C₂³	1	8	yes	—
296	#14273696	C₂³	1	8	yes	—
297	#14273696	C₂³	1	8	yes	—
298	#14273696	C₂³	1	8	yes	—
299	#14273696	C₂³	1	8	yes	—
300	#14273695	C₂³	1	4	yes	—
301	#14273695	C₂³	1	8	yes	—
302	#14273695	C₂³	1	4	yes	—
303	#14273695	C₂³	1	8	yes	—
304	#14273695	C₂³	1	4	yes	complemented
305	#14273695	C₂³	1	4	yes	complemented
306	C₄×Dic₁₁₈	C₂³	1	8	yes	complemented
307	C₄×Dic₁₁₈	C₂³	1	4	yes	complemented
308	C₄×Dic₁₁₈	C₂³	1	4	yes	complemented
309	#14273692	C₂³	1	8	yes	complemented
310	C₄×D₂₃₆	C₂³	1	8	yes	complemented
311	C₄×D₂₃₆	C₂³	1	4	yes	complemented
312	C₄×D₂₃₆	C₂³	1	4	yes	complemented
313	D₄×Dic₅₉	C₂³	1	8	yes	—
314	D₄×Dic₅₉	C₂³	1	8	yes	—
315	#14273689	C₂³	1	8	yes	complemented
316	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
317	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
318	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
319	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
320	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
321	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
322	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
323	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
324	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
325	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	—
326	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	complemented
327	C₄×C₂²⋊D₅₉	C₂³	1	8	yes	complemented
328	(C₂²⋊D₅₉)⋊C₄	C₂³	1	8	yes	—
329	(C₂²⋊D₅₉)⋊C₄	C₂³	1	8	yes	—
330	(C₂²⋊D₅₉)⋊C₄	C₂³	1	8	yes	complemented
331	(C₂²⋊D₅₉)⋊C₄	C₂³	1	8	yes	complemented
332	#14273686	C₂³	1	4	yes	—
333	#14273686	C₂³	1	4	yes	—
334	#14273686	C₂³	1	4	yes	—
335	#14273686	C₂³	1	4	yes	—
336	#14273686	C₂³	1	4	yes	—
337	#14273686	C₂³	1	4	yes	complemented
338	#14273686	C₂³	1	2	yes	complemented
339	#14273686	C₂³	1	2	yes	complemented
340	#14273685	C₂³	1	8	yes	complemented
341	#14273684	C₂³	1	8	yes	complemented
342	#14273683	C₂³	1	8	yes	—
343	#14273683	C₂³	1	8	yes	complemented
344	C₂×C₄⋊Dic₅₉	C₂³	1	2	yes	—
345	C₂×C₄⋊Dic₅₉	C₂³	1	2	yes	—
346	C₂×C₄⋊Dic₅₉	C₂³	1	4	yes	complemented
347	C₂×Dic₅₉⋊C₄	C₂³	1	4	yes	—
348	C₂×Dic₅₉⋊C₄	C₂³	1	4	yes	—
349	C₄⋊C₄×D₅₉	C₂³	1	8	yes	complemented
350	C₂×C₂²⋊Dic₅₉	C₂³	1	4	yes	—
351	C₂×C₂²⋊Dic₅₉	C₂³	1	4	yes	—
352	C₂×C₂²⋊Dic₅₉	C₂³	1	4	yes	—
353	C₂×C₂²⋊Dic₅₉	C₂³	1	4	yes	—
354	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	4	yes	—
355	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	4	yes	—
356	C₂²⋊C₄×D₅₉	C₂³	1	8	yes	—
357	C₂²⋊C₄×D₅₉	C₂³	1	8	yes	complemented
358	C₂×C₄×Dic₅₉	C₂³	1	4	yes	—
359	C₂×C₄×Dic₅₉	C₂³	1	4	yes	complemented
360	C₄²×D₅₉	C₂³	1	8	yes	complemented
361	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
362	C₂×#41×C₅₉	—	4	4	no	—
363	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
364	C₂×#41×C₅₉	C₂³	1	2	yes	—
365	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
366	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
367	C₂×#41×C₅₉	C₂³	1	2	yes	—
368	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
369	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
370	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
371	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
372	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
373	C₂³×C₄×C₅₉	—	4	4	no	—
374	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
375	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
376	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
377	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
378	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
379	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
380	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
381	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
382	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
383	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
384	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
385	#123×C₅₉	C₂³	1	2	yes	—
386	#123×C₅₉	C₂³	1	2	yes	—
387	#123×C₅₉	C₂³	1	4	yes	—
388	#123×C₅₉	C₂³	1	4	yes	—
389	#123×C₅₉	C₂³	1	2	yes	—
390	#123×C₅₉	C₂³	1	2	yes	—
391	C₂²⋊Q₈×C₅₉	C₂³	1	4	yes	—
392	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
393	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
394	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
395	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
396	C₂²⋊Q₈×C₅₉	C₂³	1	4	yes	—
397	#121×C₅₉	C₂³	1	4	yes	—
398	#121×C₅₉	C₂³	1	2	yes	—
399	#121×C₅₉	C₂³	1	2	yes	—
400	#121×C₅₉	C₂³	1	2	yes	—
401	#121×C₅₉	C₂³	1	2	yes	—
402	#121×C₅₉	C₂³	1	4	yes	—
403	#120×C₅₉	C₂³	1	2	yes	—
404	#120×C₅₉	C₂³	1	4	yes	—
405	#120×C₅₉	C₂³	1	4	yes	—
406	#120×C₅₉	C₂³	1	2	yes	—
407	#120×C₅₉	C₂³	1	2	yes	—
408	#120×C₅₉	C₂³	1	2	yes	—
409	C₄×D₄×C₅₉	C₂³	1	4	yes	—
410	C₄×D₄×C₅₉	C₂³	1	4	yes	—
411	C₄×D₄×C₅₉	C₂³	1	4	yes	—
412	C₄×D₄×C₅₉	C₂³	1	4	yes	—
413	C₄×D₄×C₅₉	C₂³	1	4	yes	—
414	C₄×D₄×C₅₉	C₂³	1	4	yes	—
415	C₄×D₄×C₅₉	C₂³	1	4	yes	—
416	C₄×D₄×C₅₉	C₂³	1	4	yes	—
417	#117×C₅₉	C₂³	1	2	yes	—
418	#117×C₅₉	C₂³	1	2	yes	—
419	#117×C₅₉	C₂³	1	1	yes	characteristic
420	#117×C₅₉	C₂³	1	2	yes	—
421	#117×C₅₉	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
423	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
424	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
425	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
426	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
427	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
428	C₂⁴×C₅₉	—	4	2	no	—
429	C₂⁴×C₅₉	—	4	4	no	—
430	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
431	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
432	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
433	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
434	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
435	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
436	C₂³×D₅₉	C₂⁴	1	4	yes	—
437	C₂³×D₅₉	C₂⁴	1	4	yes	—
438	#41×C₅₉	—	4	2	no	—
439	#41×C₅₉	—	4	4	no	—
440	#41×C₅₉	—	4	2	no	—
441	#41×C₅₉	—	4	4	no	—
442	#41×C₅₉	—	4	2	no	—
443	#41×C₅₉	—	4	2	no	—
444	C₂×Q₈×C₅₉	—	4	2	no	—
445	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
446	C₂×Q₈×C₅₉	C₂⁴	1	2	yes	—
447	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
448	C₂×D₄×C₅₉	—	4	4	no	—
449	C₂×D₄×C₅₉	—	4	2	no	—
450	C₂×D₄×C₅₉	—	4	8	no	—
451	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
452	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
453	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
454	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
455	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
456	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
457	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
458	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
459	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
460	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
461	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅₉	—	2	4	no	—
463	C₂²×C₄×C₅₉	—	2	8	no	—
464	C₂²×C₄×C₅₉	—	2	8	no	—
465	C₂²×C₄×C₅₉	—	4	2	no	—
466	C₂²×C₄×C₅₉	—	4	4	no	—
467	C₂²×C₄×C₅₉	—	4	2	no	—
468	C₂²×C₄×C₅₉	—	4	4	no	—
469	C₂²×C₄×C₅₉	—	4	2	no	—
470	C₂²×C₄×C₅₉	—	4	2	no	—
471	C₂²×C₄×C₅₉	—	4	2	no	—
472	C₂²×C₄×C₅₉	—	4	4	no	—
473	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
474	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
475	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
483	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
485	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
486	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
487	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
490	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
492	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
493	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
497	C₂×C₂²⋊D₅₉	—	4	8	no	—
498	C₂×C₂²⋊D₅₉	—	4	8	no	—
499	C₂×C₂²⋊D₅₉	—	4	8	no	—
500	C₂×C₂²⋊D₅₉	—	4	8	no	—
501	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
502	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
503	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
504	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
505	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
506	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
507	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
508	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
509	C₂×C₂²⋊D₅₉	C₂⁴	1	8	yes	—
510	C₂²×Dic₅₉	C₂⁴	1	4	yes	—
511	C₂²×Dic₅₉	C₂⁴	1	4	yes	—
512	C₂²×Dic₅₉	C₂⁴	1	8	yes	—
513	C₂²×Dic₅₉	C₂⁴	1	4	yes	—
514	C₂²×Dic₅₉	C₂⁴	1	4	yes	—
515	#11745687	—	4	16	no	—
516	D₄×D₅₉	—	4	16	no	—
517	#11745685	—	2	16	no	—
518	#11745685	—	4	8	no	—
519	#11745685	—	4	8	no	—
520	#11745685	—	4	8	no	—
521	#11745685	—	4	8	no	—
522	#11745685	—	4	8	no	—
523	#11745685	—	4	8	no	—
524	C₂×D₂₃₆	—	4	4	no	—
525	C₂×D₂₃₆	—	4	4	no	—
526	C₂×D₂₃₆	C₂⁴	1	4	yes	—
527	C₂×D₂₃₆	C₂⁴	1	8	yes	—
528	C₂×D₂₃₆	C₂⁴	1	4	yes	—
529	C₂×D₂₃₆	C₂⁴	1	4	yes	—
530	C₂×C₄×D₅₉	—	4	8	no	—
531	C₂×C₄×D₅₉	—	4	8	no	—
532	C₂×C₄×D₅₉	C₂⁴	1	8	yes	—
533	C₂×C₄×D₅₉	C₂⁴	1	8	yes	—
534	C₂×C₄×D₅₉	C₂⁴	1	8	yes	—
535	C₂×C₄×D₅₉	C₂⁴	1	8	yes	—
536	C₂×C₄×D₅₉	C₂⁴	1	8	yes	—
537	C₂×Dic₁₁₈	—	4	4	no	—
538	C₂×Dic₁₁₈	—	4	4	no	—
539	C₂×Dic₁₁₈	C₂⁴	1	4	yes	—
540	C₂×Dic₁₁₈	C₂⁴	1	8	yes	—
541	C₂×Dic₁₁₈	C₂⁴	1	4	yes	—
542	C₂×Dic₁₁₈	C₂⁴	1	4	yes	—
543	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
544	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
545	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
546	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
547	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
548	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
549	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
550	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
551	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
552	C₂²⋊C₄×C₅₉	C₂⁴	1	2	yes	—
553	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
554	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
555	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
556	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
557	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
558	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
559	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
560	C₂²⋊C₄×C₅₉	C₂⁴	1	4	yes	—
561	C₄²×C₅₉	C₂⁴	1	4	yes	—
562	C₄²×C₅₉	C₂⁴	1	2	yes	—
563	C₄²×C₅₉	C₂⁴	1	2	yes	—
564	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
565	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
566	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
567	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
568	C₂²⋊Dic₅₉	C₂⁴	1	4	yes	—
569	C₂²⋊Dic₅₉	C₂⁴	1	4	yes	—
570	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
571	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
572	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
573	C₂²⋊Dic₅₉	C₂⁴	1	8	yes	—
574	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
575	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
576	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
577	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
578	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
579	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
580	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
581	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
582	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
583	(C₂×D₅₉)⋊C₄	C₂⁴	1	8	yes	—
584	C₄⋊Dic₅₉	C₂⁴	1	8	yes	—
585	C₄⋊Dic₅₉	C₂⁴	1	4	yes	—
586	C₄⋊Dic₅₉	C₂⁴	1	4	yes	—
587	C₄⋊Dic₅₉	C₂⁴	1	4	yes	—
588	C₄⋊Dic₅₉	C₂⁴	1	4	yes	—
589	C₄⋊Dic₅₉	C₂⁴	1	8	yes	—
590	C₄⋊Dic₅₉	C₂⁴	1	8	yes	—
591	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
592	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
593	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
594	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
595	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
596	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
597	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
598	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
599	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
600	Dic₅₉⋊C₄	C₂⁴	1	8	yes	—
601	C₄×Dic₅₉	C₂⁴	1	8	yes	—
602	C₄×Dic₅₉	C₂⁴	1	8	yes	—
603	C₄×Dic₅₉	C₂⁴	1	8	yes	—
604	C₄×Dic₅₉	C₂⁴	1	8	yes	—
605	C₄×Dic₅₉	C₂⁴	1	4	yes	—
606	C₄×Dic₅₉	C₂⁴	1	4	yes	—
607	C₂³×C₅₉	—	2	4	no	—
608	C₂³×C₅₉	—	2	2	no	—
609	C₂³×C₅₉	—	2	4	no	—
610	C₂³×C₅₉	—	2	4	no	—
611	C₂³×C₅₉	—	2	4	no	—
612	C₂³×C₅₉	—	2	4	no	—
613	C₂³×C₅₉	—	4	1	no	—
614	C₂³×C₅₉	—	4	2	no	—
615	C₂³×C₅₉	—	4	1	no	—
616	C₂³×C₅₉	—	4	2	no	—
617	C₂³×C₅₉	—	4	2	no	—
618	C₂³×C₅₉	—	4	2	no	—
619	C₂³×C₅₉	—	4	2	no	—
620	C₂³×C₅₉	—	4	4	no	—
621	C₂³×C₅₉	—	4	16	no	—
622	C₂³×C₅₉	C₂⁵	1	2	yes	—
623	C₂³×C₅₉	C₂⁵	1	2	yes	—
624	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
625	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
626	C₂³×C₅₉	C₂⁵	1	2	yes	—
627	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
628	C₂³×C₅₉	C₂⁵	1	2	yes	—
629	C₂²×D₅₉	—	2	8	no	—
630	C₂²×D₅₉	—	4	4	no	—
631	C₂²×D₅₉	—	4	4	no	—
632	C₂²×D₅₉	—	4	8	no	—
633	C₂²×D₅₉	—	4	4	no	—
634	C₂²×D₅₉	C₂⁵	1	8	yes	—
635	Q₈×C₅₉	—	4	1	no	—
636	Q₈×C₅₉	—	4	2	no	—
637	Q₈×C₅₉	—	4	1	no	—
638	D₄×C₅₉	—	2	8	no	—
639	D₄×C₅₉	—	2	8	no	—
640	D₄×C₅₉	—	4	4	no	—
641	D₄×C₅₉	—	4	4	no	—
642	D₄×C₅₉	—	4	2	no	—
643	D₄×C₅₉	—	4	2	no	—
644	D₄×C₅₉	—	4	2	no	—
645	D₄×C₅₉	—	4	2	no	—
646	D₄×C₅₉	—	4	1	no	—
647	D₄×C₅₉	—	4	2	no	—
648	D₄×C₅₉	—	4	1	no	—
649	C₂×C₄×C₅₉	—	2	4	no	—
650	C₂×C₄×C₅₉	—	2	4	no	—
651	C₂×C₄×C₅₉	—	2	2	no	—
652	C₂×C₄×C₅₉	—	2	4	no	—
653	C₂×C₄×C₅₉	—	2	4	no	—
654	C₂×C₄×C₅₉	—	2	4	no	—
655	C₂×C₄×C₅₉	—	2	4	no	—
656	C₂×C₄×C₅₉	—	2	4	no	—
657	C₂×C₄×C₅₉	—	2	4	no	—
658	C₂×C₄×C₅₉	—	2	4	no	—
659	C₂×C₄×C₅₉	—	2	4	no	—
660	C₂×C₄×C₅₉	—	2	2	no	—
661	C₂×C₄×C₅₉	—	2	2	no	—
662	C₂×C₄×C₅₉	—	2	2	no	—
663	C₂×C₄×C₅₉	—	2	2	no	—
664	C₂×C₄×C₅₉	—	4	1	no	—
665	C₂×C₄×C₅₉	—	4	2	no	—
666	C₂×C₄×C₅₉	—	4	2	no	—
667	C₂×C₄×C₅₉	—	4	2	no	—
668	C₂×C₄×C₅₉	—	4	1	no	—
669	C₂×C₄×C₅₉	—	4	2	no	—
670	C₂×C₄×C₅₉	—	4	2	no	—
671	C₂×C₄×C₅₉	—	4	4	no	—
672	C₂×C₄×C₅₉	H(5,𝔽₂)	1	4	yes	—
673	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
674	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
675	C₂×C₄×C₅₉	C₂⁵	1	4	yes	—
676	C₂×C₄×C₅₉	C₂⁵	1	4	yes	—
677	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
678	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
679	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
680	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
681	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
682	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
683	C₂²⋊D₅₉	—	2	16	no	—
684	C₂²⋊D₅₉	—	2	16	no	—
685	C₂²⋊D₅₉	—	4	8	no	—
686	C₂²⋊D₅₉	—	4	8	no	—
687	C₂²⋊D₅₉	—	4	8	no	—
688	C₂²⋊D₅₉	—	4	8	no	—
689	C₂²⋊D₅₉	—	4	8	no	—
690	C₂²⋊D₅₉	—	4	8	no	—
691	C₂²⋊D₅₉	—	4	8	no	—
692	C₂×Dic₅₉	—	2	8	no	—
693	C₂×Dic₅₉	—	4	4	no	—
694	C₂×Dic₅₉	—	4	4	no	—
695	C₂×Dic₅₉	—	4	8	no	—
696	C₂×Dic₅₉	—	4	4	no	—
697	C₂×Dic₅₉	C₂⁵	1	8	yes	—
698	C₂×Dic₅₉	C₂⁵	1	8	yes	—
699	C₂×Dic₅₉	C₂⁵	1	8	yes	—
700	D₂₃₆	—	2	8	no	—
701	D₂₃₆	—	4	4	no	—
702	D₂₃₆	—	4	4	no	—
703	D₂₃₆	—	4	8	no	—
704	C₄×D₅₉	—	2	16	no	—
705	C₄×D₅₉	—	4	8	no	—
706	C₄×D₅₉	—	4	8	no	—
707	C₄×D₅₉	—	4	8	no	—
708	C₄×D₅₉	—	4	8	no	—
709	Dic₁₁₈	—	2	8	no	—
710	Dic₁₁₈	—	4	4	no	—
711	Dic₁₁₈	—	4	4	no	—
712	Dic₁₁₈	—	4	8	no	—
713	#62729	—	59	1	no	maximal, Sylow
714	C₂²×C₅₉	—	2	2	no	—
715	C₂²×C₅₉	—	2	2	no	—
716	C₂²×C₅₉	—	2	2	no	—
717	C₂²×C₅₉	—	2	2	no	—
718	C₂²×C₅₉	—	2	2	no	—
719	C₂²×C₅₉	—	2	2	no	—
720	C₂²×C₅₉	—	2	1	no	—
721	C₂²×C₅₉	—	2	1	no	—
722	C₂²×C₅₉	—	2	4	no	—
723	C₂²×C₅₉	—	2	2	no	—
724	C₂²×C₅₉	—	2	2	no	—
725	C₂²×C₅₉	—	2	2	no	—
726	C₂²×C₅₉	—	2	4	no	—
727	C₂²×C₅₉	—	2	2	no	—
728	C₂²×C₅₉	—	4	4	no	—
729	C₂²×C₅₉	—	4	8	no	—
730	C₂²×C₅₉	—	4	8	no	—
731	C₂²×C₅₉	—	4	4	no	—
732	C₂²×C₅₉	—	4	4	no	—
733	C₂²×C₅₉	—	8	4	no	—
734	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
735	C₂²×C₅₉	#585	1	4	yes	—
736	C₂²×C₅₉	C₂⁶	1	1	yes	characteristic
737	C₂×D₅₉	—	2	8	no	—
738	C₂×D₅₉	—	2	8	no	—
739	C₂×D₅₉	—	2	8	no	—
740	C₂×D₅₉	—	8	8	no	—
741	C₂×D₅₉	—	8	8	no	—
742	C₄×C₅₉	—	2	2	no	—
743	C₄×C₅₉	—	2	2	no	—
744	C₄×C₅₉	—	2	2	no	—
745	C₄×C₅₉	—	2	2	no	—
746	C₄×C₅₉	—	2	1	no	—
747	C₄×C₅₉	—	2	1	no	—
748	C₄×C₅₉	—	2	4	no	—
749	C₄×C₅₉	—	2	4	no	—
750	C₄×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
751	C₄×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
752	Dic₅₉	—	2	8	no	—
753	Dic₅₉	—	2	8	no	—
754	Dic₅₉	—	2	8	no	—
755	#3542	—	59	4	no	—
756	#3541	—	59	4	no	—
757	#3540	—	59	2	no	—
758	#3539	—	59	2	no	—
759	#3538	—	59	1	no	—
760	#3537	—	59	1	no	—
761	#3536	—	59	2	no	—
762	#3535	—	59	4	no	—
763	#3534	—	59	4	no	—
764	#3533	—	59	4	no	—
765	#3532	—	59	4	no	—
766	#3529	—	59	4	no	—
767	#3481	—	59	4	no	—
768	#3475	—	59	4	no	—
769	D₄×#41	—	59	4	no	—
770	#3460	—	59	4	no	—
771	#3459	—	59	4	no	—
772	#3455	—	59	2	no	—
773	#3449	—	59	2	no	—
774	C₂×#525	—	59	2	no	—
775	C₂×#525	D₅₉	1	1	yes	characteristic, complemented
776	C₂×C₅₉	—	2	4	no	—
777	C₂×C₅₉	—	2	2	no	—
778	C₂×C₅₉	—	4	2	no	—
779	C₂×C₅₉	—	4	2	no	—
780	C₂×C₅₉	—	4	1	no	—
781	C₂×C₅₉	—	4	1	no	—
782	C₂×C₅₉	—	4	2	no	—
783	C₂×C₅₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
784	C₂×C₅₉	C₂×#585	1	2	yes	—
785	D₅₉	—	4	8	no	—
786	C₂²×#41	—	59	2	no	—
787	C₂²×#41	—	59	2	no	—
788	C₂²×#41	C₂×D₅₉	1	1	yes	characteristic, complemented
789	C₂⁴×C₄	C₂×D₅₉	1	1	yes	characteristic, complemented
790	#563	—	59	4	no	—
791	#563	—	59	8	no	—
792	#562	—	59	8	no	—
793	#562	—	59	8	no	—
794	#562	—	59	8	no	—
795	H(3,𝔽₄)	—	59	4	no	—
796	#560	—	59	4	no	—
797	#560	—	59	8	no	—
798	#560	—	59	8	no	—
799	#560	—	59	4	no	—
800	#559	—	59	4	no	—
801	#556	—	59	4	no	—
802	#555	—	59	4	no	—
803	#554	—	59	8	no	—
804	#554	—	59	4	no	—
805	#553	—	59	8	no	—
806	#553	—	59	8	no	—
807	#553	—	59	4	no	—
808	#553	—	59	4	no	—
809	#552	—	59	4	no	—
810	#552	—	59	4	no	—
811	#552	—	59	8	no	—
812	#551	—	59	4	no	—
813	#551	—	59	8	no	—
814	#551	—	59	4	no	—
815	#551	—	59	8	no	—
816	#551	—	59	8	no	—
817	#550	—	59	4	no	—
818	D₄×Q₈	—	59	4	no	—
819	#548	—	59	4	no	—
820	#548	—	59	4	no	—
821	#547	—	59	4	no	—
822	#547	—	59	4	no	—
823	#547	—	59	8	no	—
824	#546	—	59	8	no	—
825	#546	—	59	8	no	—
826	#546	—	59	8	no	—
827	#546	—	59	4	no	—
828	#546	—	59	4	no	—
829	#546	—	59	8	no	—
830	#546	—	59	8	no	—
831	D₄²	—	59	8	no	—
832	D₄²	—	59	4	no	—
833	D₄²	—	59	4	no	—
834	#544	—	59	4	no	—
835	#543	—	59	4	no	—
836	#542	—	59	8	no	—
837	#542	—	59	8	no	—
838	#542	—	59	4	no	—
839	#542	—	59	4	no	—
840	#541	—	59	2	no	—
841	#541	—	59	2	no	—
842	#540	—	59	8	no	—
843	#540	—	59	8	no	—
844	#540	—	59	2	no	—
845	#540	—	59	2	no	—
846	#539	—	59	8	no	—
847	#539	—	59	8	no	—
848	#539	—	59	4	no	—
849	#539	—	59	4	no	—
850	#539	—	59	8	no	—
851	#538	—	59	8	no	—
852	#538	—	59	4	no	—
853	#538	—	59	8	no	—
854	#538	—	59	4	no	—
855	#538	—	59	8	no	—
856	#538	—	59	8	no	—
857	#538	—	59	8	no	—
858	#537	—	59	4	no	—
859	#537	—	59	4	no	—
860	#537	—	59	4	no	—
861	#536	—	59	2	no	—
862	#536	—	59	2	no	—
863	#536	—	59	4	no	—
864	#535	—	59	2	no	—
865	#535	—	59	2	no	—
866	#535	—	59	4	no	—
867	#535	—	59	8	no	—
868	#534	—	59	4	no	—
869	#534	—	59	4	no	—
870	#534	—	59	4	no	—
871	#534	—	59	8	no	—
872	#533	—	59	2	no	—
873	#532	—	59	4	no	—
874	#532	—	59	4	no	—
875	#532	—	59	8	no	—
876	#532	—	59	2	no	—
877	#529	—	59	8	no	—
878	#529	—	59	8	no	—
879	#529	—	59	8	no	—
880	#529	—	59	8	no	—
881	#529	—	59	8	no	—
882	#525	—	59	4	no	—
883	#525	—	59	4	no	—
884	#525	—	59	4	no	—
885	#525	—	59	4	no	—
886	#525	—	59	4	no	—
887	#525	—	59	4	no	—
888	#525	—	59	4	no	—
889	#525	—	59	4	no	—
890	#525	—	59	4	no	—
891	#525	—	59	4	no	—
892	#525	—	59	4	no	—
893	#525	—	59	8	no	—
894	#525	—	59	8	no	—
895	#525	C₂×D₅₉	1	1	yes	characteristic
896	#525	C₂×D₅₉	1	2	yes	complemented
897	#525	C₂×D₅₉	1	2	yes	complemented
898	#525	C₂×D₅₉	1	2	yes	complemented
899	#525	C₂×D₅₉	1	2	yes	complemented
900	#525	C₂×D₅₉	1	1	yes	characteristic, complemented
901	#525	C₂×D₅₉	1	1	yes	characteristic, complemented
902	#525	C₂×D₅₉	1	1	yes	characteristic, complemented
903	#525	C₂×D₅₉	1	4	yes	complemented
904	C₂×#123	—	59	4	no	—
905	C₂×#123	C₂×D₅₉	1	2	yes	complemented
906	C₂×C₂²⋊Q₈	—	59	2	no	—
907	C₂×C₂²⋊Q₈	—	59	2	no	—
908	C₂×C₂²⋊Q₈	C₂×D₅₉	1	2	yes	complemented
909	C₂×#121	—	59	2	no	—
910	C₂×#121	—	59	2	no	—
911	C₂×#121	C₂×D₅₉	1	2	yes	complemented
912	C₂×#120	—	59	4	no	—
913	C₂×#120	C₂×D₅₉	1	2	yes	complemented
914	C₄×#41	—	59	8	no	—
915	C₄×#41	—	59	4	no	—
916	C₂×C₄×D₄	—	59	4	no	—
917	C₂×C₄×D₄	—	59	4	no	—
918	C₂×C₄×D₄	—	59	8	no	—
919	C₂×C₄×D₄	C₂×D₅₉	1	4	yes	complemented
920	C₂×#117	—	59	2	no	—
921	C₂×#117	—	59	2	no	—
922	C₂×#117	C₂×D₅₉	1	1	yes	characteristic, complemented
923	C₅₉	#62729	1	1	yes	characteristic, complemented, Sylow
924	C₂⁵	C₂²×D₅₉	1	1	yes	characteristic
925	C₂×#41	—	4	4	no	—
926	C₂×#41	—	59	8	no	—
927	C₂×#41	—	59	4	no	—
928	C₂×#41	—	59	4	no	—
929	C₂×#41	—	59	4	no	—
930	C₂×#41	—	59	4	no	—
931	C₂×#41	—	59	4	no	—
932	C₂×#41	—	59	4	no	—
933	C₂×#41	—	59	4	no	—
934	C₂×#41	—	236	8	no	—
935	C₂×#41	—	236	8	no	—
936	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
937	C₂×#41	C₂²×D₅₉	1	2	yes	—
938	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
939	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
940	C₂×#41	C₂²×D₅₉	1	2	yes	—
941	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
942	C₂²×Q₈	—	59	2	no	—
943	C₂²×Q₈	—	59	2	no	—
944	C₂²×Q₈	C₂²×D₅₉	1	1	yes	characteristic
945	C₂²×D₄	—	59	4	no	—
946	C₂²×D₄	—	59	4	no	—
947	C₂²×D₄	—	59	4	no	—
948	C₂²×D₄	—	59	4	no	—
949	C₂²×D₄	—	59	8	no	—
950	C₂²×D₄	—	59	2	no	—
951	C₂²×D₄	—	59	2	no	—
952	C₂²×D₄	C₂²×D₅₉	1	4	yes	—
953	C₂²×D₄	C₂²×D₅₉	1	2	yes	—
954	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
955	C₂³×C₄	—	4	4	no	—
956	C₂³×C₄	—	59	4	no	—
957	C₂³×C₄	—	59	4	no	—
958	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
959	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
960	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
961	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
962	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
963	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
964	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
965	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
966	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
967	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
968	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
969	C₄⋊Q₈	—	59	4	no	—
970	C₄⋊Q₈	—	59	4	no	—
971	C₄⋊Q₈	—	59	8	no	—
972	C₄⋊Q₈	—	59	2	no	—
973	C₄⋊Q₈	—	59	4	no	—
974	#127	—	59	4	no	—
975	#127	—	59	4	no	—
976	#127	—	59	8	no	—
977	#127	—	59	2	no	—
978	#126	—	59	8	no	—
979	#126	—	59	8	no	—
980	#126	—	59	8	no	—
981	#126	—	59	8	no	—
982	#126	—	59	8	no	—
983	#126	—	59	8	no	—
984	#126	—	59	8	no	—
985	#126	—	59	8	no	—
986	#126	—	59	8	no	—
987	#126	—	59	8	no	—
988	#125	—	59	8	no	—
989	#125	—	59	8	no	—
990	#125	—	59	8	no	—
991	#125	—	59	8	no	—
992	#125	—	59	8	no	—
993	#125	—	59	2	no	—
994	#125	—	59	2	no	—
995	#124	—	59	4	no	—
996	#124	—	59	4	no	—
997	#124	—	59	8	no	—
998	#124	—	59	4	no	—
999	#124	—	59	4	no	—
1000	#124	—	59	8	no	—
1001	#124	—	59	8	no	—
1002	#124	—	59	8	no	—
1003	#124	—	59	8	no	—
1004	#124	—	59	8	no	—
1005	#124	—	59	8	no	—
1006	#124	—	59	4	no	—
1007	#123	—	59	4	no	—
1008	#123	—	59	4	no	—
1009	#123	—	59	4	no	—
1010	#123	—	59	4	no	—
1011	#123	—	59	8	no	—
1012	#123	—	59	8	no	—
1013	#123	—	59	8	no	—
1014	#123	—	59	8	no	—
1015	#123	—	59	8	no	—
1016	#123	—	59	8	no	—
1017	#123	—	59	8	no	—
1018	#123	—	59	8	no	—
1019	#123	—	59	8	no	—
1020	#123	—	59	8	no	—
1021	#123	—	59	8	no	—
1022	#123	—	59	8	no	—
1023	#123	—	59	8	no	—
1024	#123	—	59	8	no	—
1025	#123	—	59	8	no	—
1026	#123	—	59	8	no	—
1027	#123	—	59	8	no	—
1028	#123	—	59	8	no	—
1029	#123	—	59	8	no	—
1030	#123	C₂²×D₅₉	1	2	yes	—
1031	#123	C₂²×D₅₉	1	4	yes	—
1032	#123	C₂²×D₅₉	1	4	yes	—
1033	#123	C₂²×D₅₉	1	2	yes	—
1034	#123	C₂²×D₅₉	1	2	yes	—
1035	#123	C₂²×D₅₉	1	2	yes	—
1036	C₂²⋊Q₈	—	59	8	no	—
1037	C₂²⋊Q₈	—	59	8	no	—
1038	C₂²⋊Q₈	—	59	4	no	—
1039	C₂²⋊Q₈	—	59	4	no	—
1040	C₂²⋊Q₈	—	59	4	no	—
1041	C₂²⋊Q₈	—	59	4	no	—
1042	C₂²⋊Q₈	—	59	4	no	—
1043	C₂²⋊Q₈	—	59	4	no	—
1044	C₂²⋊Q₈	—	59	4	no	—
1045	C₂²⋊Q₈	—	59	4	no	—
1046	C₂²⋊Q₈	—	59	4	no	—
1047	C₂²⋊Q₈	—	59	4	no	—
1048	C₂²⋊Q₈	—	59	8	no	—
1049	C₂²⋊Q₈	—	59	8	no	—
1050	C₂²⋊Q₈	—	59	8	no	—
1051	C₂²⋊Q₈	—	59	8	no	—
1052	C₂²⋊Q₈	—	59	8	no	—
1053	C₂²⋊Q₈	—	59	8	no	—
1054	C₂²⋊Q₈	—	59	8	no	—
1055	C₂²⋊Q₈	—	59	8	no	—
1056	C₂²⋊Q₈	—	59	8	no	—
1057	C₂²⋊Q₈	—	59	8	no	—
1058	C₂²⋊Q₈	C₂²×D₅₉	1	2	yes	—
1059	C₂²⋊Q₈	C₂²×D₅₉	1	2	yes	—
1060	C₂²⋊Q₈	C₂²×D₅₉	1	2	yes	—
1061	C₂²⋊Q₈	C₂²×D₅₉	1	2	yes	—
1062	C₂²⋊Q₈	C₂²×D₅₉	1	4	yes	—
1063	C₂²⋊Q₈	C₂²×D₅₉	1	4	yes	—
1064	#121	—	59	8	no	—
1065	#121	—	59	8	no	—
1066	#121	—	59	8	no	—
1067	#121	—	59	8	no	—
1068	#121	—	59	8	no	—
1069	#121	—	59	8	no	—
1070	#121	—	59	8	no	—
1071	#121	—	59	8	no	—
1072	#121	—	59	8	no	—
1073	#121	—	59	8	no	—
1074	#121	—	59	8	no	—
1075	#121	—	59	8	no	—
1076	#121	—	59	4	no	—
1077	#121	—	59	4	no	—
1078	#121	—	59	4	no	—
1079	#121	—	59	4	no	—
1080	#121	—	59	4	no	—
1081	#121	—	59	4	no	—
1082	#121	—	59	4	no	—
1083	#121	—	59	4	no	—
1084	#121	—	59	4	no	—
1085	#121	—	59	4	no	—
1086	#121	—	59	8	no	—
1087	#121	—	59	8	no	—
1088	#121	—	59	8	no	—
1089	#121	—	59	8	no	—
1090	#121	—	59	8	no	—
1091	#121	—	59	8	no	—
1092	#121	—	59	8	no	—
1093	#121	—	59	8	no	—
1094	#121	C₂²×D₅₉	1	2	yes	—
1095	#121	C₂²×D₅₉	1	2	yes	—
1096	#121	C₂²×D₅₉	1	2	yes	—
1097	#121	C₂²×D₅₉	1	2	yes	—
1098	#121	C₂²×D₅₉	1	4	yes	—
1099	#121	C₂²×D₅₉	1	4	yes	—
1100	#120	—	59	8	no	—
1101	#120	—	59	8	no	—
1102	#120	—	59	8	no	—
1103	#120	—	59	8	no	—
1104	#120	—	59	8	no	—
1105	#120	—	59	4	no	—
1106	#120	—	59	4	no	—
1107	#120	—	59	4	no	—
1108	#120	—	59	4	no	—
1109	#120	—	59	8	no	—
1110	#120	—	59	8	no	—
1111	#120	—	59	8	no	—
1112	#120	—	59	8	no	—
1113	#120	C₂²×D₅₉	1	2	yes	—
1114	#120	C₂²×D₅₉	1	4	yes	—
1115	#120	C₂²×D₅₉	1	4	yes	—
1116	#120	C₂²×D₅₉	1	2	yes	—
1117	#120	C₂²×D₅₉	1	2	yes	—
1118	#120	C₂²×D₅₉	1	2	yes	—
1119	C₄×Q₈	—	59	8	no	—
1120	C₄×Q₈	—	59	8	no	—
1121	C₄×Q₈	—	59	4	no	—
1122	C₄×Q₈	—	59	4	no	—
1123	C₄×D₄	—	59	8	no	—
1124	C₄×D₄	—	59	8	no	—
1125	C₄×D₄	—	59	8	no	—
1126	C₄×D₄	—	59	8	no	—
1127	C₄×D₄	—	59	8	no	—
1128	C₄×D₄	—	59	8	no	—
1129	C₄×D₄	—	59	8	no	—
1130	C₄×D₄	—	59	8	no	—
1131	C₄×D₄	—	59	8	no	—
1132	C₄×D₄	—	59	8	no	—
1133	C₄×D₄	—	59	8	no	—
1134	C₄×D₄	—	59	8	no	—
1135	C₄×D₄	—	59	8	no	—
1136	C₄×D₄	—	59	8	no	—
1137	C₄×D₄	—	59	8	no	—
1138	C₄×D₄	—	59	8	no	—
1139	C₄×D₄	—	59	8	no	—
1140	C₄×D₄	—	59	8	no	—
1141	C₄×D₄	—	59	8	no	—
1142	C₄×D₄	—	59	8	no	—
1143	C₄×D₄	—	59	4	no	—
1144	C₄×D₄	—	59	4	no	—
1145	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1146	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1147	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1148	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1149	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1150	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1151	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1152	C₄×D₄	C₂²×D₅₉	1	4	yes	—
1153	#117	—	59	4	no	—
1154	#117	—	59	4	no	—
1155	#117	—	59	4	no	—
1156	#117	—	59	4	no	—
1157	#117	—	59	4	no	—
1158	#117	—	59	4	no	—
1159	#117	—	59	2	no	—
1160	#117	—	59	2	no	—
1161	#117	—	59	8	no	—
1162	#117	—	59	8	no	—
1163	#117	—	59	8	no	—
1164	#117	—	59	8	no	—
1165	#117	C₂²×D₅₉	1	1	yes	characteristic
1166	#117	C₂²×D₅₉	1	2	yes	—
1167	#117	C₂²×D₅₉	1	2	yes	—
1168	#117	C₂²×D₅₉	1	2	yes	—
1169	#117	C₂²×D₅₉	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	—	59	2	no	—
1171	C₂×C₄⋊C₄	—	59	2	no	—
1172	C₂×C₄⋊C₄	—	59	4	no	—
1173	C₂×C₄⋊C₄	—	59	4	no	—
1174	C₂×C₄⋊C₄	—	59	4	no	—
1175	C₂×C₄⋊C₄	—	59	8	no	—
1176	C₂×C₄⋊C₄	C₂²×D₅₉	1	2	yes	—
1177	C₂×C₄⋊C₄	C₂²×D₅₉	1	4	yes	—
1178	C₂×C₂²⋊C₄	—	59	4	no	—
1179	C₂×C₂²⋊C₄	—	59	4	no	—
1180	C₂×C₂²⋊C₄	—	59	4	no	—
1181	C₂×C₂²⋊C₄	—	59	4	no	—
1182	C₂×C₂²⋊C₄	—	59	4	no	—
1183	C₂×C₂²⋊C₄	—	59	4	no	—
1184	C₂×C₂²⋊C₄	—	59	8	no	—
1185	C₂×C₂²⋊C₄	—	59	8	no	—
1186	C₂×C₂²⋊C₄	C₂²×D₅₉	1	2	yes	—
1187	C₂×C₂²⋊C₄	C₂²×D₅₉	1	4	yes	—
1188	C₂×C₂²⋊C₄	C₂²×D₅₉	1	4	yes	—
1189	C₂×C₄²	—	59	4	no	—
1190	C₂×C₄²	—	59	4	no	—
1191	C₂×C₄²	—	59	8	no	—
1192	C₂×C₄²	C₂²×D₅₉	1	2	yes	—
1193	C₂⁴	—	4	2	no	—
1194	C₂⁴	—	4	4	no	—
1195	C₂⁴	—	59	4	no	—
1196	C₂⁴	—	59	4	no	—
1197	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
1198	C₂⁴	C₂³×D₅₉	1	2	yes	—
1199	C₂⁴	C₂³×D₅₉	1	2	yes	—
1200	C₂⁴	C₂³×D₅₉	1	2	yes	—
1201	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
1202	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
1203	#41	—	4	2	no	—
1204	#41	—	4	4	no	—
1205	#41	—	4	2	no	—
1206	#41	—	4	4	no	—
1207	#41	—	4	2	no	—
1208	#41	—	4	2	no	—
1209	#41	—	118	16	no	—
1210	#41	—	236	8	no	—
1211	#41	—	236	8	no	—
1212	#41	—	236	8	no	—
1213	#41	—	236	8	no	—
1214	#41	—	236	8	no	—
1215	#41	—	236	8	no	—
1216	#41	—	236	16	no	—
1217	C₂×Q₈	—	4	2	no	—
1218	C₂×Q₈	—	59	4	no	—
1219	C₂×Q₈	—	59	8	no	—
1220	C₂×Q₈	—	59	4	no	—
1221	C₂×Q₈	—	59	4	no	—
1222	C₂×Q₈	—	236	4	no	—
1223	C₂×Q₈	—	236	4	no	—
1224	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1225	C₂×Q₈	C₂³×D₅₉	1	2	yes	—
1226	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1227	C₂×D₄	—	4	2	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	8	no	—
1230	C₂×D₄	—	59	8	no	—
1231	C₂×D₄	—	59	8	no	—
1232	C₂×D₄	—	59	8	no	—
1233	C₂×D₄	—	59	8	no	—
1234	C₂×D₄	—	59	8	no	—
1235	C₂×D₄	—	59	8	no	—
1236	C₂×D₄	—	59	8	no	—
1237	C₂×D₄	—	59	8	no	—
1238	C₂×D₄	—	59	8	no	—
1239	C₂×D₄	—	59	4	no	—
1240	C₂×D₄	—	59	8	no	—
1241	C₂×D₄	—	59	4	no	—
1242	C₂×D₄	—	59	4	no	—
1243	C₂×D₄	—	236	4	no	—
1244	C₂×D₄	—	236	4	no	—
1245	C₂×D₄	—	236	8	no	—
1246	C₂×D₄	—	236	16	no	—
1247	C₂×D₄	—	236	8	no	—
1248	C₂×D₄	—	236	8	no	—
1249	C₂×D₄	—	236	8	no	—
1250	C₂×D₄	C₂³×D₅₉	1	4	yes	—
1251	C₂×D₄	C₂³×D₅₉	1	4	yes	—
1252	C₂×D₄	C₂³×D₅₉	1	4	yes	—
1253	C₂×D₄	C₂³×D₅₉	1	4	yes	—
1254	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1255	C₂×D₄	C₂³×D₅₉	1	2	yes	—
1256	C₂×D₄	C₂³×D₅₉	1	2	yes	—
1257	C₂×D₄	C₂³×D₅₉	1	2	yes	—
1258	C₂×D₄	C₂³×D₅₉	1	2	yes	—
1259	C₂×D₄	C₂³×D₅₉	1	2	yes	—
1260	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1261	C₂²×C₄	—	2	4	no	—
1262	C₂²×C₄	—	2	8	no	—
1263	C₂²×C₄	—	2	8	no	—
1264	C₂²×C₄	—	4	2	no	—
1265	C₂²×C₄	—	4	4	no	—
1266	C₂²×C₄	—	4	2	no	—
1267	C₂²×C₄	—	4	4	no	—
1268	C₂²×C₄	—	4	2	no	—
1269	C₂²×C₄	—	4	2	no	—
1270	C₂²×C₄	—	4	4	no	—
1271	C₂²×C₄	—	4	2	no	—
1272	C₂²×C₄	—	59	4	no	—
1273	C₂²×C₄	—	59	4	no	—
1274	C₂²×C₄	—	59	8	no	—
1275	C₂²×C₄	—	59	4	no	—
1276	C₂²×C₄	—	59	4	no	—
1277	C₂²×C₄	—	59	8	no	—
1278	C₂²×C₄	—	59	8	no	—
1279	C₂²×C₄	—	59	8	no	—
1280	C₂²×C₄	—	59	8	no	—
1281	C₂²×C₄	—	59	8	no	—
1282	C₂²×C₄	—	236	8	no	—
1283	C₂²×C₄	—	236	8	no	—
1284	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1285	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1286	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1287	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1288	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1290	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1291	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1294	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1295	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1296	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1297	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₅₉	1	4	yes	—
1300	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1301	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1302	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1303	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1304	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1305	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1306	C₂²×C₄	C₂³×D₅₉	1	2	yes	—
1307	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1308	C₄⋊C₄	—	59	4	no	—
1309	C₄⋊C₄	—	59	4	no	—
1310	C₄⋊C₄	—	59	8	no	—
1311	C₄⋊C₄	—	59	8	no	—
1312	C₄⋊C₄	—	59	4	no	—
1313	C₄⋊C₄	—	59	4	no	—
1314	C₄⋊C₄	—	59	8	no	—
1315	C₄⋊C₄	—	59	8	no	—
1316	C₄⋊C₄	—	59	8	no	—
1317	C₄⋊C₄	—	59	8	no	—
1318	C₄⋊C₄	—	59	8	no	—
1319	C₄⋊C₄	—	59	8	no	—
1320	C₄⋊C₄	—	59	8	no	—
1321	C₄⋊C₄	—	59	8	no	—
1322	C₄⋊C₄	—	59	8	no	—
1323	C₄⋊C₄	—	59	8	no	—
1324	C₄⋊C₄	—	59	8	no	—
1325	C₄⋊C₄	C₂³×D₅₉	1	4	yes	—
1326	C₄⋊C₄	C₂³×D₅₉	1	4	yes	—
1327	C₄⋊C₄	C₂³×D₅₉	1	2	yes	—
1328	C₄⋊C₄	C₂³×D₅₉	1	4	yes	—
1329	C₄⋊C₄	C₂³×D₅₉	1	2	yes	—
1330	C₄⋊C₄	C₂³×D₅₉	1	4	yes	—
1331	C₄⋊C₄	C₂³×D₅₉	1	4	yes	—
1332	C₂²⋊C₄	—	59	8	no	—
1333	C₂²⋊C₄	—	59	8	no	—
1334	C₂²⋊C₄	—	59	4	no	—
1335	C₂²⋊C₄	—	59	4	no	—
1336	C₂²⋊C₄	—	59	8	no	—
1337	C₂²⋊C₄	—	59	8	no	—
1338	C₂²⋊C₄	—	59	8	no	—
1339	C₂²⋊C₄	—	59	8	no	—
1340	C₂²⋊C₄	—	59	8	no	—
1341	C₂²⋊C₄	—	59	8	no	—
1342	C₂²⋊C₄	—	59	8	no	—
1343	C₂²⋊C₄	—	59	8	no	—
1344	C₂²⋊C₄	—	59	8	no	—
1345	C₂²⋊C₄	—	59	8	no	—
1346	C₂²⋊C₄	—	59	8	no	—
1347	C₂²⋊C₄	—	59	8	no	—
1348	C₂²⋊C₄	—	59	8	no	—
1349	C₂²⋊C₄	—	59	8	no	—
1350	C₂²⋊C₄	—	59	8	no	—
1351	C₂²⋊C₄	—	59	8	no	—
1352	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1353	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1354	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1355	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1356	C₂²⋊C₄	C₂³×D₅₉	1	2	yes	—
1357	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1358	C₂²⋊C₄	C₂³×D₅₉	1	2	yes	—
1359	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1360	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1361	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1362	C₂²⋊C₄	C₂³×D₅₉	1	4	yes	—
1363	C₄²	—	59	4	no	—
1364	C₄²	—	59	8	no	—
1365	C₄²	—	59	8	no	—
1366	C₄²	—	59	4	no	—
1367	C₄²	—	59	8	no	—
1368	C₄²	—	59	8	no	—
1369	C₄²	C₂³×D₅₉	1	2	yes	—
1370	C₄²	C₂³×D₅₉	1	2	yes	—
1371	C₄²	C₂³×D₅₉	1	4	yes	—
1372	C₂³	—	2	2	no	—
1373	C₂³	—	2	4	no	—
1374	C₂³	—	2	4	no	—
1375	C₂³	—	2	4	no	—
1376	C₂³	—	2	4	no	—
1377	C₂³	—	2	4	no	—
1378	C₂³	—	4	1	no	—
1379	C₂³	—	4	2	no	—
1380	C₂³	—	4	1	no	—
1381	C₂³	—	4	2	no	—
1382	C₂³	—	4	2	no	—
1383	C₂³	—	4	2	no	—
1384	C₂³	—	4	2	no	—
1385	C₂³	—	4	4	no	—
1386	C₂³	—	4	16	no	—
1387	C₂³	—	59	8	no	—
1388	C₂³	—	118	8	no	—
1389	C₂³	—	236	4	no	—
1390	C₂³	—	236	4	no	—
1391	C₂³	—	236	4	no	—
1392	C₂³	—	236	8	no	—
1393	C₂³	C₂⁴×D₅₉	1	2	yes	—
1394	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1395	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1396	C₂³	C₂⁴×D₅₉	1	2	yes	—
1397	C₂³	C₂⁴×D₅₉	1	2	yes	—
1398	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1399	C₂³	C₂⁴×D₅₉	1	2	yes	—
1400	Q₈	—	4	1	no	—
1401	Q₈	—	4	2	no	—
1402	Q₈	—	4	1	no	—
1403	Q₈	—	118	8	no	—
1404	Q₈	—	236	4	no	—
1405	Q₈	—	236	4	no	—
1406	Q₈	—	236	8	no	—
1407	D₄	—	2	8	no	—
1408	D₄	—	2	8	no	—
1409	D₄	—	4	4	no	—
1410	D₄	—	4	4	no	—
1411	D₄	—	4	1	no	—
1412	D₄	—	4	2	no	—
1413	D₄	—	4	1	no	—
1414	D₄	—	4	2	no	—
1415	D₄	—	4	2	no	—
1416	D₄	—	4	2	no	—
1417	D₄	—	4	2	no	—
1418	D₄	—	118	16	no	—
1419	D₄	—	118	16	no	—
1420	D₄	—	118	8	no	—
1421	D₄	—	236	8	no	—
1422	D₄	—	236	4	no	—
1423	D₄	—	236	4	no	—
1424	D₄	—	236	8	no	—
1425	D₄	—	236	8	no	—
1426	D₄	—	236	8	no	—
1427	D₄	—	236	8	no	—
1428	D₄	—	236	8	no	—
1429	D₄	—	236	8	no	—
1430	D₄	—	236	8	no	—
1431	C₂×C₄	—	2	2	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	2	4	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	4	no	—
1436	C₂×C₄	—	2	2	no	—
1437	C₂×C₄	—	2	2	no	—
1438	C₂×C₄	—	2	2	no	—
1439	C₂×C₄	—	2	2	no	—
1440	C₂×C₄	—	2	4	no	—
1441	C₂×C₄	—	2	4	no	—
1442	C₂×C₄	—	2	4	no	—
1443	C₂×C₄	—	2	4	no	—
1444	C₂×C₄	—	2	4	no	—
1445	C₂×C₄	—	2	4	no	—
1446	C₂×C₄	—	4	1	no	—
1447	C₂×C₄	—	4	2	no	—
1448	C₂×C₄	—	4	2	no	—
1449	C₂×C₄	—	4	2	no	—
1450	C₂×C₄	—	4	2	no	—
1451	C₂×C₄	—	4	2	no	—
1452	C₂×C₄	—	4	1	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	59	8	no	—
1455	C₂×C₄	—	59	8	no	—
1456	C₂×C₄	—	59	8	no	—
1457	C₂×C₄	—	118	8	no	—
1458	C₂×C₄	—	118	16	no	—
1459	C₂×C₄	—	236	8	no	—
1460	C₂×C₄	—	236	8	no	—
1461	C₂×C₄	—	236	8	no	—
1462	C₂×C₄	—	236	8	no	—
1463	C₂×C₄	—	236	4	no	—
1464	C₂×C₄	—	236	4	no	—
1465	C₂×C₄	—	236	4	no	—
1466	C₂×C₄	—	236	8	no	—
1467	C₂×C₄	#14273772	1	4	yes	—
1468	C₂×C₄	C₂⁴×D₅₉	1	2	yes	—
1469	C₂×C₄	C₂⁴×D₅₉	1	2	yes	—
1470	C₂×C₄	C₂⁴×D₅₉	1	4	yes	—
1471	C₂×C₄	C₂⁴×D₅₉	1	4	yes	—
1472	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1473	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1474	C₂×C₄	C₂⁴×D₅₉	1	2	yes	—
1475	C₂×C₄	C₂⁴×D₅₉	1	2	yes	—
1476	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1477	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	1	no	—
1482	C₂²	—	2	1	no	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	4	no	—
1487	C₂²	—	2	4	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	4	8	no	—
1493	C₂²	—	4	4	no	—
1494	C₂²	—	4	4	no	—
1495	C₂²	—	4	8	no	—
1496	C₂²	—	4	4	no	—
1497	C₂²	—	8	4	no	—
1498	C₂²	—	118	8	no	—
1499	C₂²	—	118	8	no	—
1500	C₂²	—	118	8	no	—
1501	C₂²	—	472	8	no	—
1502	C₂²	—	472	8	no	—
1503	C₂²	C₂×#14273772	1	2	yes	—
1504	C₂²	#16838238	1	4	yes	—
1505	C₂²	C₂⁵×D₅₉	1	1	yes	characteristic
1506	C₄	—	2	2	no	—
1507	C₄	—	2	1	no	—
1508	C₄	—	2	1	no	—
1509	C₄	—	2	2	no	—
1510	C₄	—	2	2	no	—
1511	C₄	—	2	2	no	—
1512	C₄	—	2	4	no	—
1513	C₄	—	2	4	no	—
1514	C₄	—	118	8	no	—
1515	C₄	—	118	8	no	—
1516	C₄	—	118	8	no	—
1517	C₄	C₂×#14273772	1	2	yes	—
1518	C₄	C₂×#14273772	1	2	yes	—
1519	C₂	—	2	2	no	—
1520	C₂	—	2	4	no	—
1521	C₂	—	4	1	no	—
1522	C₂	—	4	1	no	—
1523	C₂	—	4	2	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	236	8	no	—
1527	C₂	C₂²×#14273772	1	1	yes	characteristic
1528	C₂	C₂×#16838238	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₉
commutator, socle, cosocle	C₂²×C₅₉	C₂⁶
Frattini	C₂²	C₂⁵×D₅₉
Fitting	C₂×C₅₉×#525	C₂
hypercenter	C₂×#525	D₅₉
hypocenter	C₅₉	#62729
LCS	G ▷ C₂²×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #21438412	C₂	semidirect
2. #21438389	C₂	semidirect
3. #21438371	C₂	semidirect
4. #21438356	C₂	semidirect
5. #21438345	C₂	semidirect
6. #21438335	C₂	semidirect
7. #21438323	C₂	semidirect
8. #21438305	C₂	semidirect
9. #21438286	C₂	semidirect
10. #21438267	C₂	semidirect
11. #21438251	C₂	semidirect
12. #21438234	C₂	semidirect
13. #21437698	C₂	semidirect
14. #21437654	C₂	semidirect
15. D₄×#11745685	C₂	semidirect
16. #21437514	C₂	semidirect
17. #21437503	C₂	semidirect
18. #21437486	C₂	semidirect
19. #21437425	C₂	semidirect
20. C₂×#16837913	C₂	semidirect
21. C₂×C₅₉×#525	C₂	semidirect
22. C₂²×#11745685	C₂²	semidirect
23. C₂²×#11745685	C₂²	semidirect
24. #16838155	C₂²	semidirect
25. #16838153	C₂²	semidirect
26. #16838149	C₂²	semidirect
27. #16838148	C₂²	semidirect
28. #16838147	C₂²	semidirect
29. #16838145	C₂²	semidirect
30. #16838142	C₂²	semidirect
31. #16838141	C₂²	semidirect
32. #16838141	C₂²	semidirect
33. #16838140	C₂²	semidirect
34. #16838136	C₂²	semidirect
35. #16838122	C₂²	semidirect
36. #16838117	C₂²	semidirect
37. #16838109	C₂²	semidirect
38. #16838106	C₂²	semidirect
39. #16838098	C₂²	semidirect
40. #16838098	C₂²	semidirect
41. #16838097	C₂²	semidirect
42. #16838095	C₂²	semidirect
43. #16838092	C₂²	semidirect
44. #16838092	C₂²	semidirect
45. #16838087	C₂²	semidirect
46. #16838083	C₂²	semidirect
47. #16838080	C₂²	semidirect
48. #16838079	C₂²	semidirect
49. #16838078	C₂²	semidirect
50. #16838078	C₂²	semidirect
51. #16838073	C₂²	semidirect
52. D₄×Dic₁₁₈	C₂²	semidirect
53. #16838061	C₂²	semidirect
54. #16838061	C₂²	semidirect
55. #16838057	C₂²	semidirect
56. #16838056	C₂²	semidirect
57. #16838053	C₂²	semidirect
58. #16838048	C₂²	semidirect
59. #16838048	C₂²	semidirect
60. #16838046	C₂²	semidirect
61. #16838042	C₂²	semidirect
62. #16838042	C₂²	semidirect
63. #16838041	C₂²	semidirect
64. #16838039	C₂²	semidirect
65. D₄×D₂₃₆	C₂²	semidirect
66. D₄×C₂²⋊D₅₉	C₂²	semidirect
67. #16838034	C₂²	semidirect
68. #16838031	C₂²	semidirect
69. #16838027	C₂²	semidirect
70. #16838023	C₂²	semidirect
71. #16838023	C₂²	semidirect
72. #16838022	C₂²	semidirect
73. #16838020	C₂²	semidirect
74. #16838014	C₂²	semidirect
75. #16838014	C₂²	semidirect
76. #16838007	C₂²	semidirect
77. #16838007	C₂²	semidirect
78. #16838004	C₂²	semidirect
79. #16838002	C₂²	semidirect
80. #16838001	C₂²	semidirect
81. #16837999	C₂²	semidirect
82. #16837998	C₂²	semidirect
83. #16837997	C₂²	semidirect
84. #16837995	C₂²	semidirect
85. #16837992	C₂²	semidirect
86. #16837990	C₂²	semidirect
87. #16837989	C₂²	semidirect
88. #16837988	C₂²	semidirect
89. #16837987	C₂²	semidirect
90. #16837987	C₂²	semidirect
91. #16837984	C₂²	semidirect
92. #16837980	C₂²	semidirect
93. #16837980	C₂²	semidirect
94. #16837979	C₂²	semidirect
95. #16837976	C₂²	semidirect
96. #16837973	C₂²	semidirect
97. #16837973	C₂²	semidirect
98. #16837969	C₂²	semidirect
99. #16837967	C₂²	semidirect
100. #16837966	C₂²	semidirect
101. #16837966	C₂²	semidirect
102. #16837962	C₂²	semidirect
103. #16837961	C₂²	semidirect
104. #16837961	C₂²	semidirect
105. #16837960	C₂²	semidirect
106. #16837959	C₂²	semidirect
107. #16837952	C₂²	semidirect
108. #16837949	C₂²	semidirect
109. #16837948	C₂²	semidirect
110. #16837948	C₂²	semidirect
111. #16837934	C₂²	semidirect
112. #16837932	C₂²	semidirect
113. #16837932	C₂²	semidirect
114. #16837930	C₂²	semidirect
115. #16837930	C₂²	semidirect
116. #16837913	C₂²	semidirect
117. #16837913	C₂²	semidirect
118. #16837913	C₂²	semidirect
119. #16837913	C₂²	semidirect
120. #16837913	C₂²	semidirect
121. #16837913	C₂²	semidirect
122. #16837913	C₂²	semidirect
123. #16837913	C₂²	semidirect
124. #16837913	C₂²	semidirect
125. #16837911	C₂²	semidirect
126. #16837911	C₂²	semidirect
127. #16837909	C₂²	semidirect
128. #16837909	C₂²	semidirect
129. C₂×#14273710	C₂²	semidirect
130. C₂×#14273706	C₂²	semidirect
131. C₂×#14273706	C₂²	semidirect
132. C₂×#14273701	C₂²	semidirect
133. C₂×#14273701	C₂²	semidirect
134. C₂×#14273696	C₂²	semidirect
135. C₄×#11745685	C₂²	semidirect
136. C₄×#11745687	C₂²	semidirect
137. C₂×C₄×C₂²⋊D₅₉	C₂²	semidirect
138. C₂×C₄×C₂²⋊D₅₉	C₂²	semidirect
139. C₄×D₄×D₅₉	C₂²	semidirect
140. C₂×#14273686	C₂²	semidirect
141. C₂×#14273686	C₂²	semidirect
142. C₂²×#41×C₅₉	C₂²	semidirect
143. C₂⁴×C₄×C₅₉	C₂²	semidirect
145. C₅₉×#525	C₂²	semidirect
146. C₅₉×#525	C₂²	semidirect
147. C₅₉×#525	C₂²	semidirect
148. C₅₉×#525	C₂²	semidirect
149. C₅₉×#525	C₂²	semidirect
150. C₅₉×#525	C₂²	semidirect
151. C₅₉×#525	C₂²	semidirect
152. C₅₉×#525	C₂²	semidirect
153. C₂×#123×C₅₉	C₂²	semidirect
154. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
155. C₂×#121×C₅₉	C₂²	semidirect
156. C₂×#120×C₅₉	C₂²	semidirect
157. C₂×C₄×D₄×C₅₉	C₂²	semidirect
158. C₂×#117×C₅₉	C₂²	semidirect
166. C₂×#11745685	C₂³	semidirect
167. C₂×#11745685	C₂³	semidirect
170. C₂²×Dic₁₁₈	C₂³	semidirect
172. C₂²×D₂₃₆	C₂³	semidirect
179. C₂²×C₄×D₅₉	C₂³	semidirect
180. #14273727	C₂³	semidirect
181. #14273727	C₂³	semidirect
182. #14273726	C₂³	semidirect
183. #14273725	C₂³	semidirect
184. #14273725	C₂³	semidirect
185. #14273724	C₂³	semidirect
189. #14273722	C₂³	semidirect
190. #14273722	C₂³	semidirect
191. #14273722	C₂³	semidirect
192. #14273722	C₂³	semidirect
197. #14273720	C₂³	semidirect
198. #14273720	C₂³	semidirect
199. #14273719	C₂³	semidirect
200. #14273719	C₂³	semidirect
201. #14273718	C₂³	semidirect
202. #14273717	C₂³	semidirect
203. #14273717	C₂³	semidirect
204. #14273717	C₂³	semidirect
205. #14273717	C₂³	semidirect
206. #14273716	C₂³	semidirect
207. #14273716	C₂³	semidirect
208. #14273715	C₂³	semidirect
216. #14273713	C₂³	semidirect
217. #14273713	C₂³	semidirect
218. #14273712	C₂³	semidirect
219. #14273712	C₂³	semidirect
220. #14273712	C₂³	semidirect
221. #14273712	C₂³	semidirect
223. #14273711	C₂³	semidirect
233. #14273709	C₂³	semidirect
234. #14273709	C₂³	semidirect
239. #14273708	C₂³	semidirect
240. #14273708	C₂³	semidirect
241. #14273707	C₂³	semidirect
251. #14273706	C₂³	semidirect
252. #14273706	C₂³	semidirect
253. #14273705	C₂³	semidirect
254. #14273705	C₂³	semidirect
255. #14273705	C₂³	semidirect
256. #14273705	C₂³	semidirect
259. #14273704	C₂³	semidirect
260. #14273704	C₂³	semidirect
261. #14273703	C₂³	semidirect
262. #14273703	C₂³	semidirect
263. #14273702	C₂³	semidirect
273. #14273701	C₂³	semidirect
274. #14273701	C₂³	semidirect
279. #14273700	C₂³	semidirect
280. #14273700	C₂³	semidirect
287. #14273699	C₂³	semidirect
288. #14273699	C₂³	semidirect
294. #14273697	C₂³	semidirect
304. #14273695	C₂³	semidirect
305. #14273695	C₂³	semidirect
306. C₄×Dic₁₁₈	C₂³	semidirect
307. C₄×Dic₁₁₈	C₂³	semidirect
308. C₄×Dic₁₁₈	C₂³	semidirect
309. #14273692	C₂³	semidirect
310. C₄×D₂₃₆	C₂³	semidirect
311. C₄×D₂₃₆	C₂³	semidirect
312. C₄×D₂₃₆	C₂³	semidirect
315. #14273689	C₂³	semidirect
326. C₄×C₂²⋊D₅₉	C₂³	semidirect
327. C₄×C₂²⋊D₅₉	C₂³	semidirect
330. (C₂²⋊D₅₉)⋊C₄	C₂³	semidirect
331. (C₂²⋊D₅₉)⋊C₄	C₂³	semidirect
337. #14273686	C₂³	semidirect
338. #14273686	C₂³	semidirect
339. #14273686	C₂³	semidirect
340. #14273685	C₂³	semidirect
341. #14273684	C₂³	semidirect
343. #14273683	C₂³	semidirect
346. C₂×C₄⋊Dic₅₉	C₂³	semidirect
349. C₄⋊C₄×D₅₉	C₂³	semidirect
357. C₂²⋊C₄×D₅₉	C₂³	semidirect
359. C₂×C₄×Dic₅₉	C₂³	semidirect
360. C₄²×D₅₉	C₂³	semidirect
775. C₂×#525	D₅₉	semidirect
788. C₂²×#41	C₂×D₅₉	semidirect
789. C₂⁴×C₄	C₂×D₅₉	semidirect
896. #525	C₂×D₅₉	semidirect
897. #525	C₂×D₅₉	semidirect
898. #525	C₂×D₅₉	semidirect
899. #525	C₂×D₅₉	semidirect
900. #525	C₂×D₅₉	semidirect
901. #525	C₂×D₅₉	semidirect
902. #525	C₂×D₅₉	semidirect
903. #525	C₂×D₅₉	semidirect
905. C₂×#123	C₂×D₅₉	semidirect
908. C₂×C₂²⋊Q₈	C₂×D₅₉	semidirect
911. C₂×#121	C₂×D₅₉	semidirect
913. C₂×#120	C₂×D₅₉	semidirect
919. C₂×C₄×D₄	C₂×D₅₉	semidirect
922. C₂×#117	C₂×D₅₉	semidirect
923. C₅₉	#62729	semidirect

Maximal subgroups

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

subgroup	index
#21438412	2
#21438389	2
#21438371	2
#21438356	2
#21438345	2
#21438335	2
#21438323	2
#21438305	2
#21438286	2
#21438267	2
#21438251	2
#21438234	2
#21437698	2
#21437654	2
D₄×#11745685	2
#21437514	2
#21437503	2
#21437486	2
#21437425	2
C₂×#16837913	2
C₂×C₅₉×#525	2
#62729	59