Subgroups — #29465462

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21437654	C₂	1	1	yes	maximal, characteristic, complemented
2	#21436282	C₂	1	1	yes	maximal, characteristic, complemented
3	#21436267	C₂	1	1	yes	maximal, characteristic, complemented
4	#21436252	C₂	1	1	yes	maximal, characteristic, complemented
5	#21436237	C₂	1	1	yes	maximal, characteristic, complemented
6	#21436222	C₂	1	1	yes	maximal, characteristic, complemented
7	#21436207	C₂	1	1	yes	maximal, characteristic, complemented
8	#21436192	C₂	1	1	yes	maximal, characteristic, complemented
9	#21436177	C₂	1	1	yes	maximal, characteristic, complemented
10	#21436162	C₂	1	1	yes	maximal, characteristic, complemented
11	#21436147	C₂	1	1	yes	maximal, characteristic, complemented
12	#21436132	C₂	1	1	yes	maximal, characteristic, complemented
13	#21436117	C₂	1	1	yes	maximal, characteristic, complemented
14	#21436102	C₂	1	1	yes	maximal, characteristic, complemented
15	#21436087	C₂	1	1	yes	maximal, characteristic, complemented
16	#21436072	C₂	1	1	yes	maximal, characteristic, complemented
17	#21436057	C₂	1	1	yes	maximal, characteristic, complemented
18	#21434441	C₂	1	1	yes	maximal, characteristic, complemented
19	#21434005	C₂	1	1	yes	maximal, characteristic, complemented
20	#21434005	C₂	1	1	yes	maximal, characteristic, complemented
21	#21433884	C₂	1	1	yes	maximal, characteristic, complemented
22	#21433702	C₂	1	1	yes	maximal, characteristic, complemented
23	#21433674	C₂	1	1	yes	maximal, characteristic, complemented
24	#21433545	C₂	1	1	yes	maximal, characteristic, complemented
25	#21433314	C₂	1	1	yes	maximal, characteristic, complemented
26	#21433314	C₂	1	1	yes	maximal, characteristic, complemented
27	#21432894	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16837474	C₂	1	1	yes	maximal, characteristic, complemented
29	#21432615	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16837398	C₂	1	1	yes	maximal, characteristic, complemented
31	D₄×#41×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14273747	C₂²	1	1	yes	characteristic
33	C₂×#14273747	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14273747	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11745664	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₅₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	#16838122	C₂²	1	1	yes	characteristic, complemented
38	#16838117	C₂²	1	1	yes	characteristic, complemented
39	#16838109	C₂²	1	1	yes	characteristic, complemented
40	#16838098	C₂²	1	1	yes	characteristic
41	#16838098	C₂²	1	1	yes	characteristic, complemented
42	#16838092	C₂²	1	1	yes	characteristic
43	#16838092	C₂²	1	1	yes	characteristic, complemented
44	#16838087	—	2	1	no	—
45	#16838078	—	2	1	no	—
46	#16838078	—	2	1	no	—
47	#16838056	C₂²	1	1	yes	characteristic, complemented
48	#16838046	—	2	1	no	—
49	#16837959	C₂²	1	1	yes	characteristic, complemented
50	#16837934	—	2	1	no	—
51	#16837932	—	2	1	no	—
52	#16837932	—	2	1	no	—
53	#16837913	C₂²	1	1	yes	characteristic, complemented
54	#16837913	C₂²	1	1	yes	characteristic, complemented
55	C₄×#11745685	C₂²	1	1	yes	characteristic, complemented
56	C₄×#11745687	—	2	1	no	—
57	C₂×#14273686	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14273686	C₂²	1	1	yes	characteristic, complemented
59	#16837770	C₂²	1	1	yes	characteristic, complemented
60	#16837770	C₂²	1	1	yes	characteristic, complemented
61	#16837766	C₂²	1	1	yes	characteristic, complemented
62	#16837766	C₂²	1	1	yes	characteristic, complemented
63	#16837761	C₂²	1	1	yes	characteristic, complemented
64	#16837761	C₂²	1	1	yes	characteristic, complemented
65	#16837761	C₂²	1	1	yes	characteristic, complemented
66	#16837761	C₂²	1	1	yes	characteristic, complemented
67	#16837740	C₂²	1	1	yes	characteristic, complemented
68	#16837740	C₂²	1	1	yes	characteristic, complemented
69	#16837740	C₂²	1	1	yes	characteristic, complemented
70	#16837740	C₂²	1	1	yes	characteristic, complemented
71	#16837735	C₂²	1	1	yes	characteristic, complemented
72	#16837735	C₂²	1	1	yes	characteristic, complemented
73	#16837730	C₂²	1	1	yes	characteristic, complemented
74	#16837730	C₂²	1	1	yes	characteristic, complemented
75	#16837723	C₂²	1	1	yes	characteristic, complemented
76	#16837723	C₂²	1	1	yes	characteristic, complemented
77	#16837723	C₂²	1	1	yes	characteristic, complemented
78	#16837723	C₂²	1	1	yes	characteristic, complemented
79	#16837718	C₂²	1	1	yes	characteristic, complemented
80	#16837718	C₂²	1	1	yes	characteristic, complemented
81	#16837713	C₂²	1	1	yes	characteristic, complemented
82	#16837713	C₂²	1	1	yes	characteristic, complemented
83	#16837709	C₂²	1	1	yes	characteristic, complemented
84	#16837709	C₂²	1	1	yes	characteristic, complemented
85	#16837702	C₂²	1	1	yes	characteristic, complemented
86	#16837702	C₂²	1	1	yes	characteristic, complemented
87	#16837697	C₂²	1	1	yes	characteristic, complemented
88	#16837692	C₂²	1	1	yes	characteristic, complemented
89	#16837687	C₂²	1	1	yes	characteristic, complemented
90	#16837682	C₂²	1	1	yes	characteristic, complemented
91	#16837658	C₂²	1	1	yes	characteristic, complemented
92	#16837658	C₂²	1	1	yes	characteristic, complemented
93	#16837653	C₂²	1	1	yes	characteristic, complemented
94	#16837653	C₂²	1	1	yes	characteristic, complemented
95	#16837650	C₂²	1	1	yes	characteristic, complemented
96	#16837650	C₂²	1	1	yes	characteristic, complemented
97	#16837646	C₂²	1	1	yes	characteristic, complemented
98	#16837646	C₂²	1	1	yes	characteristic, complemented
99	#16837641	C₂²	1	1	yes	characteristic, complemented
100	#16837641	C₂²	1	1	yes	characteristic, complemented
101	#16837636	C₂²	1	1	yes	characteristic, complemented
102	#16837636	C₂²	1	1	yes	characteristic, complemented
103	#16837633	C₂²	1	1	yes	characteristic, complemented
104	#16837633	C₂²	1	1	yes	characteristic, complemented
105	#16837629	C₂²	1	1	yes	characteristic, complemented
106	#16837629	C₂²	1	1	yes	characteristic, complemented
107	#16837621	C₂²	1	1	yes	characteristic, complemented
108	#16837621	C₂²	1	1	yes	characteristic, complemented
109	#16837614	C₂²	1	1	yes	characteristic, complemented
110	#16837614	C₂²	1	1	yes	characteristic, complemented
111	#16837609	C₂²	1	1	yes	characteristic, complemented
112	#16837604	C₂²	1	1	yes	characteristic, complemented
113	#16837599	C₂²	1	1	yes	characteristic, complemented
114	#16837594	C₂²	1	1	yes	characteristic, complemented
115	#16837564	C₂²	1	1	yes	characteristic, complemented
116	#16837564	C₂²	1	1	yes	characteristic, complemented
117	#16837564	C₂²	1	1	yes	characteristic, complemented
118	#16837564	C₂²	1	1	yes	characteristic, complemented
119	#16837558	C₂²	1	1	yes	characteristic, complemented
120	#16837558	C₂²	1	1	yes	characteristic, complemented
121	#16837553	C₂²	1	1	yes	characteristic, complemented
122	#16837553	C₂²	1	1	yes	characteristic, complemented
123	#16837547	C₂²	1	1	yes	characteristic, complemented
124	#16837547	C₂²	1	1	yes	characteristic, complemented
125	#16837547	C₂²	1	1	yes	characteristic, complemented
126	#16837547	C₂²	1	1	yes	characteristic, complemented
127	#16837541	C₂²	1	1	yes	characteristic, complemented
128	#16837541	C₂²	1	1	yes	characteristic, complemented
129	#16837536	C₂²	1	1	yes	characteristic, complemented
130	#16837536	C₂²	1	1	yes	characteristic, complemented
131	#16837512	C₂²	1	1	yes	characteristic, complemented
132	#16837512	C₂²	1	1	yes	characteristic, complemented
133	#16837507	C₂²	1	1	yes	characteristic, complemented
134	#16837507	C₂²	1	1	yes	characteristic, complemented
135	#16837502	C₂²	1	1	yes	characteristic, complemented
136	#16837502	C₂²	1	1	yes	characteristic, complemented
137	#16837500	C₂²	1	1	yes	characteristic, complemented
138	#16837500	C₂²	1	1	yes	characteristic, complemented
139	#16837474	C₂²	1	1	yes	characteristic
140	#16837474	C₂²	1	1	yes	characteristic
141	#16837474	C₂²	1	1	yes	characteristic, complemented
142	#16837474	C₂²	1	1	yes	characteristic, complemented
143	#16837474	C₂²	1	1	yes	characteristic, complemented
144	#16837474	C₂²	1	1	yes	characteristic, complemented
145	#16837474	C₂²	1	1	yes	characteristic, complemented
146	#16837474	C₂²	1	1	yes	characteristic, complemented
147	#16837438	C₂²	1	1	yes	characteristic, complemented
148	#16837438	C₂²	1	1	yes	characteristic, complemented
149	#16837438	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₄⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
151	#16837411	C₂²	1	1	yes	characteristic, complemented
152	#16837411	C₂²	1	1	yes	characteristic, complemented
153	#16837407	C₂²	1	1	yes	characteristic, complemented
154	#16837407	C₂²	1	1	yes	characteristic, complemented
155	#16837403	C₂²	1	1	yes	characteristic, complemented
156	#16837403	C₂²	1	1	yes	characteristic, complemented
157	#16837403	C₂²	1	1	yes	characteristic, complemented
158	#16837403	C₂²	1	1	yes	characteristic, complemented
159	#16837398	C₂²	1	1	yes	characteristic
160	#16837398	C₂²	1	1	yes	characteristic
161	#16837398	C₂²	1	1	yes	characteristic
162	#16837398	C₂²	1	1	yes	characteristic, complemented
163	#16837398	C₂²	1	1	yes	characteristic, complemented
164	#16837398	C₂²	1	1	yes	characteristic, complemented
165	#16837398	C₂²	1	1	yes	characteristic, complemented
166	#16837398	C₂²	1	1	yes	characteristic, complemented
167	#16837398	C₂²	1	1	yes	characteristic, complemented
168	#16837398	C₂²	1	1	yes	characteristic, complemented
169	#16837398	C₂²	1	1	yes	characteristic, complemented
170	#16837398	C₂²	1	1	yes	characteristic, complemented
171	#16837398	C₂²	1	1	yes	characteristic, complemented
172	#16837396	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14273651	C₂²	1	1	yes	characteristic, complemented
174	C₂×#14273651	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14273648	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14273648	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
179	C₂×#14273638	C₂²	1	1	yes	characteristic, complemented
180	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic
181	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic
182	C₅₉×#550	C₂²	1	1	yes	characteristic
183	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
184	C₅₉×#548	C₂²	1	1	yes	characteristic
185	C₅₉×#548	C₂²	1	1	yes	characteristic
186	C₅₉×#547	—	2	1	no	—
187	C₅₉×#547	C₂²	1	1	yes	characteristic
188	C₅₉×#546	—	2	1	no	—
189	C₅₉×#546	—	2	1	no	—
190	C₅₉×#546	C₂²	1	1	yes	characteristic
191	C₅₉×#546	C₂²	1	1	yes	characteristic
192	D₄²×C₅₉	—	2	1	no	—
193	D₄²×C₅₉	C₂²	1	1	yes	characteristic
194	C₅₉×#532	—	2	1	no	—
195	C₅₉×#532	C₂²	1	1	yes	characteristic
196	C₅₉×#525	—	2	1	no	—
197	C₅₉×#525	—	2	1	no	—
198	C₅₉×#525	C₂²	1	1	yes	characteristic
199	C₅₉×#525	C₂²	1	1	yes	characteristic
200	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
201	C₂×C₄×D₄×C₅₉	—	2	1	no	—
202	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
203	C₂×#11745685	C₂³	1	1	yes	characteristic
204	C₂×#11745687	—	2	1	no	—
205	#14273747	—	2	4	no	—
206	#14273747	—	4	2	no	—
207	#14273747	—	4	2	no	—
208	C₂×#11745672	C₂³	1	1	yes	characteristic
209	C₂×#11745672	C₂³	1	1	yes	characteristic
210	C₂×#11745672	C₂³	1	1	yes	characteristic
211	C₂×#11745670	C₂³	1	1	yes	characteristic
212	C₂×#11745670	C₂³	1	1	yes	characteristic
213	C₂×#11745670	C₂³	1	1	yes	characteristic
214	C₂×#11745671	C₂³	1	1	yes	characteristic
215	C₂×#11745671	C₂³	1	1	yes	characteristic
216	C₂×#11745671	C₂³	1	1	yes	characteristic
217	C₂×#11745669	C₂³	1	1	yes	characteristic
218	C₂×#11745669	C₂³	1	1	yes	characteristic
219	C₂×#11745669	C₂³	1	1	yes	characteristic
220	C₂×#11745664	—	4	2	no	—
221	C₂×#11745664	C₂³	1	1	yes	characteristic
222	C₂×#11745664	C₂³	1	1	yes	characteristic
223	C₂×#11745664	C₂³	1	1	yes	characteristic
224	C₂×#11745664	C₂³	1	1	yes	characteristic
225	C₂²×C₅₉⋊C₈	—	4	2	no	—
226	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
227	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
232	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
233	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
234	#14273727	C₂³	1	1	yes	characteristic
235	#14273727	C₂³	1	1	yes	characteristic
236	#14273722	—	2	1	no	—
237	#14273722	—	2	1	no	—
238	#14273720	—	2	1	no	—
239	#14273720	—	2	1	no	—
240	#14273720	—	2	1	no	—
241	#14273720	—	2	1	no	—
242	#14273719	C₂³	1	1	yes	characteristic
243	#14273719	C₂³	1	1	yes	characteristic
244	#14273718	—	2	1	no	—
245	#14273717	—	2	1	no	—
246	#14273717	—	2	1	no	—
247	#14273714	—	2	1	no	—
248	#14273713	—	2	1	no	—
249	#14273713	—	2	1	no	—
250	#14273711	—	2	1	no	—
251	#14273711	—	2	1	no	—
252	#14273710	—	2	1	no	—
253	#14273710	—	2	1	no	—
254	#14273709	—	2	1	no	—
255	#14273709	—	2	1	no	—
256	#14273708	—	2	1	no	—
257	#14273708	—	2	1	no	—
258	#14273707	—	2	1	no	—
259	#14273706	—	2	1	no	—
260	#14273706	—	2	1	no	—
261	#14273706	C₂³	1	1	yes	characteristic
262	#14273706	C₂³	1	1	yes	characteristic
263	#14273706	C₂³	1	1	yes	characteristic
264	#14273706	C₂³	1	1	yes	characteristic
265	#14273704	—	2	1	no	—
266	#14273704	—	2	1	no	—
267	#14273701	C₂³	1	1	yes	characteristic
268	#14273701	C₂³	1	1	yes	characteristic
269	#14273701	C₂³	1	1	yes	characteristic
270	#14273701	C₂³	1	1	yes	characteristic
271	#14273699	—	2	1	no	—
272	#14273699	—	2	1	no	—
273	#14273698	—	2	1	no	—
274	#14273696	—	2	1	no	—
275	#14273696	—	2	1	no	—
276	C₄×Dic₁₁₈	—	2	1	no	—
277	C₄×Dic₁₁₈	—	2	1	no	—
278	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
279	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
280	#14273692	—	2	1	no	—
281	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
282	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
283	D₄×Dic₅₉	—	2	1	no	—
284	C₄×C₂²⋊D₅₉	—	2	1	no	—
285	C₄×C₂²⋊D₅₉	—	2	1	no	—
286	C₄×C₂²⋊D₅₉	—	2	1	no	—
287	C₄×C₂²⋊D₅₉	—	2	1	no	—
288	C₄×C₂²⋊D₅₉	—	2	1	no	—
289	C₄×C₂²⋊D₅₉	—	2	1	no	—
290	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
291	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
292	#14273686	—	2	1	no	—
293	#14273686	—	2	1	no	—
294	#14273686	—	2	1	no	—
295	#14273686	—	2	1	no	—
296	#14273686	C₂³	1	1	yes	characteristic
297	#14273686	C₂³	1	1	yes	characteristic
298	#14273686	C₂³	1	1	yes	characteristic
299	#14273686	C₂³	1	1	yes	characteristic
300	#14273686	C₂³	1	1	yes	characteristic
301	#14273686	C₂³	1	1	yes	characteristic
302	#14273686	C₂³	1	1	yes	characteristic
303	#14273685	—	2	1	no	—
304	#14273684	—	2	1	no	—
305	#14273683	—	2	1	no	—
306	#14273683	—	2	1	no	—
307	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Dic₅₉	—	2	1	no	—
312	C₂×C₂²⋊Dic₅₉	—	2	1	no	—
313	C₂×C₄×Dic₅₉	—	2	1	no	—
314	C₂×C₄×Dic₅₉	—	2	1	no	—
315	C₄²×D₅₉	—	2	1	no	—
316	#14273660	C₂³	1	1	yes	characteristic
317	#14273660	C₂³	1	1	yes	characteristic
318	#14273660	C₂³	1	1	yes	characteristic
319	#14273660	C₂³	1	1	yes	characteristic
320	#14273660	C₂³	1	1	yes	characteristic
321	#14273660	C₂³	1	1	yes	characteristic
322	#14273658	C₂³	1	1	yes	characteristic
323	#14273658	C₂³	1	1	yes	characteristic
324	#14273658	C₂³	1	1	yes	characteristic
325	#14273658	C₂³	1	1	yes	characteristic
326	#14273658	C₂³	1	1	yes	characteristic
327	#14273658	C₂³	1	1	yes	characteristic
328	C₄⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
331	C₄⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
332	#14273651	C₂³	1	1	yes	characteristic
333	#14273651	C₂³	1	1	yes	characteristic
334	#14273651	C₂³	1	1	yes	characteristic
335	#14273651	C₂³	1	1	yes	characteristic
336	#14273651	C₂³	1	1	yes	characteristic
337	#14273651	C₂³	1	1	yes	characteristic
338	#14273651	C₂³	1	1	yes	characteristic
339	#14273651	C₂³	1	1	yes	characteristic
340	#14273651	C₂³	1	1	yes	characteristic
341	#14273651	C₂³	1	1	yes	characteristic
342	#14273651	C₂³	1	1	yes	characteristic
343	#14273651	C₂³	1	1	yes	characteristic
344	#14273651	C₂³	1	1	yes	characteristic
345	#14273651	C₂³	1	1	yes	characteristic
346	#14273651	C₂³	1	1	yes	characteristic
347	#14273651	C₂³	1	1	yes	characteristic
348	#14273651	C₂³	1	1	yes	characteristic
349	#14273651	C₂³	1	1	yes	characteristic
350	#14273650	C₂³	1	1	yes	characteristic
351	#14273650	C₂³	1	1	yes	characteristic
352	#14273648	C₂³	1	1	yes	characteristic
353	#14273648	C₂³	1	1	yes	characteristic
354	#14273648	C₂³	1	1	yes	characteristic
355	#14273648	C₂³	1	1	yes	characteristic
356	#14273648	C₂³	1	1	yes	characteristic
357	#14273648	C₂³	1	1	yes	characteristic
358	#14273648	C₂³	1	1	yes	characteristic
359	#14273648	C₂³	1	1	yes	characteristic
360	#14273648	C₂³	1	1	yes	characteristic
361	#14273648	C₂³	1	1	yes	characteristic
362	#14273648	C₂³	1	1	yes	characteristic
363	#14273648	C₂³	1	1	yes	characteristic
364	#14273648	C₂³	1	1	yes	characteristic
365	#14273648	C₂³	1	1	yes	characteristic
366	#14273648	C₂³	1	1	yes	characteristic
367	#14273648	C₂³	1	1	yes	characteristic
368	#14273648	C₂³	1	1	yes	characteristic
369	#14273648	C₂³	1	1	yes	characteristic
370	#14273647	C₂³	1	1	yes	characteristic
371	#14273647	C₂³	1	1	yes	characteristic
372	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
373	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
374	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
375	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
376	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
377	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
378	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
379	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
380	#14273638	C₂³	1	1	yes	characteristic
381	#14273638	C₂³	1	1	yes	characteristic
382	#14273638	C₂³	1	1	yes	characteristic
383	#14273638	C₂³	1	1	yes	characteristic
384	C₂×#41×C₅₉	—	2	1	no	—
385	C₂×#41×C₅₉	—	2	1	no	—
386	C₂×#41×C₅₉	—	2	1	no	—
387	C₂×#41×C₅₉	—	2	1	no	—
388	C₂×#41×C₅₉	—	2	4	no	—
389	C₂×#41×C₅₉	—	2	4	no	—
390	C₂×#41×C₅₉	—	4	2	no	—
391	C₂×#41×C₅₉	—	4	2	no	—
392	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
393	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
394	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
395	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
396	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
397	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
398	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
399	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
400	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
401	C₂²×D₄×C₅₉	—	2	1	no	—
402	C₂²×D₄×C₅₉	—	2	1	no	—
403	C₂²×D₄×C₅₉	—	2	1	no	—
404	C₂²×D₄×C₅₉	D₄	1	1	yes	characteristic
405	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
406	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
407	C₂³×C₄×C₅₉	—	2	1	no	—
408	C₂³×C₄×C₅₉	—	2	1	no	—
409	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
410	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
411	C₄⋊Q₈×C₅₉	—	2	1	no	—
412	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
413	#127×C₅₉	—	2	1	no	—
414	#127×C₅₉	C₂³	1	1	yes	characteristic
415	#124×C₅₉	—	2	1	no	—
416	#124×C₅₉	—	2	1	no	—
417	#124×C₅₉	C₂³	1	1	yes	characteristic
418	#124×C₅₉	C₂³	1	1	yes	characteristic
419	#123×C₅₉	—	2	1	no	—
420	#123×C₅₉	—	2	1	no	—
421	#123×C₅₉	—	2	1	no	—
422	#123×C₅₉	—	2	1	no	—
423	#123×C₅₉	—	2	1	no	—
424	#123×C₅₉	—	2	1	no	—
425	C₂²⋊Q₈×C₅₉	—	2	1	no	—
426	C₂²⋊Q₈×C₅₉	—	2	1	no	—
427	C₂²⋊Q₈×C₅₉	—	2	1	no	—
428	C₂²⋊Q₈×C₅₉	—	2	1	no	—
429	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
430	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
431	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
432	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
433	#121×C₅₉	—	2	1	no	—
434	#121×C₅₉	—	2	1	no	—
435	#121×C₅₉	—	2	1	no	—
436	#121×C₅₉	—	2	1	no	—
437	#121×C₅₉	—	2	1	no	—
438	#121×C₅₉	—	2	1	no	—
439	#121×C₅₉	—	2	1	no	—
440	#121×C₅₉	—	2	1	no	—
441	#121×C₅₉	—	2	1	no	—
442	#121×C₅₉	—	2	1	no	—
443	#121×C₅₉	C₂³	1	1	yes	characteristic
444	#121×C₅₉	C₂³	1	1	yes	characteristic
445	#121×C₅₉	C₂³	1	1	yes	characteristic
446	#121×C₅₉	C₂³	1	1	yes	characteristic
447	#120×C₅₉	—	2	1	no	—
448	#120×C₅₉	—	2	1	no	—
449	#120×C₅₉	—	2	1	no	—
450	#120×C₅₉	—	2	1	no	—
451	#120×C₅₉	—	2	1	no	—
452	#120×C₅₉	—	2	1	no	—
453	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
454	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₅₉	—	2	1	no	—
456	C₄×D₄×C₅₉	—	2	1	no	—
457	C₄×D₄×C₅₉	—	2	1	no	—
458	C₄×D₄×C₅₉	—	2	1	no	—
459	C₄×D₄×C₅₉	—	2	1	no	—
460	C₄×D₄×C₅₉	—	2	1	no	—
461	C₄×D₄×C₅₉	—	2	1	no	—
462	C₄×D₄×C₅₉	—	2	1	no	—
463	C₄×D₄×C₅₉	—	2	1	no	—
464	C₄×D₄×C₅₉	—	2	1	no	—
465	C₄×D₄×C₅₉	—	2	1	no	—
466	C₄×D₄×C₅₉	—	2	1	no	—
467	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
468	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
469	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
470	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
471	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
473	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
474	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
475	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
476	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
477	#117×C₅₉	—	2	1	no	—
478	#117×C₅₉	C₂³	1	1	yes	characteristic
479	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
480	C₂×C₄⋊C₄×C₅₉	D₄	1	1	yes	characteristic
481	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
482	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
483	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
484	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
485	C₂×C₄²×C₅₉	—	2	1	no	—
486	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
487	C₂⁴×C₅₉	—	2	1	no	—
488	C₂⁴×C₅₉	—	2	1	no	—
489	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
490	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
491	#41×C₅₉	—	2	2	no	—
492	#41×C₅₉	—	2	2	no	—
493	#41×C₅₉	—	2	2	no	—
494	#41×C₅₉	—	2	2	no	—
495	#41×C₅₉	—	2	2	no	—
496	#41×C₅₉	—	2	2	no	—
497	#41×C₅₉	—	2	2	no	—
498	#41×C₅₉	—	2	2	no	—
499	#41×C₅₉	—	2	2	no	—
500	#41×C₅₉	—	4	4	no	—
501	#41×C₅₉	—	4	4	no	—
502	#41×C₅₉	—	4	1	no	—
503	#41×C₅₉	—	4	1	no	—
504	#41×C₅₉	—	4	1	no	—
505	#41×C₅₉	—	4	1	no	—
506	#41×C₅₉	—	4	4	no	—
507	#41×C₅₉	—	4	4	no	—
508	#41×C₅₉	#41	1	4	yes	complemented
509	C₂×Q₈×C₅₉	—	2	1	no	—
510	C₂×Q₈×C₅₉	—	2	1	no	—
511	C₂×Q₈×C₅₉	—	2	2	no	—
512	C₂×Q₈×C₅₉	—	2	2	no	—
513	C₂×Q₈×C₅₉	—	4	1	no	—
514	C₂×Q₈×C₅₉	—	4	1	no	—
515	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
516	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
517	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₅₉	—	2	1	no	—
519	C₂×D₄×C₅₉	—	2	2	no	—
520	C₂×D₄×C₅₉	—	2	2	no	—
521	C₂×D₄×C₅₉	—	2	1	no	—
522	C₂×D₄×C₅₉	—	2	1	no	—
523	C₂×D₄×C₅₉	—	2	1	no	—
524	C₂×D₄×C₅₉	—	2	1	no	—
525	C₂×D₄×C₅₉	—	2	1	no	—
526	C₂×D₄×C₅₉	—	2	1	no	—
527	C₂×D₄×C₅₉	—	2	1	no	—
528	C₂×D₄×C₅₉	—	2	1	no	—
529	C₂×D₄×C₅₉	—	2	1	no	—
530	C₂×D₄×C₅₉	—	2	1	no	—
531	C₂×D₄×C₅₉	—	2	1	no	—
532	C₂×D₄×C₅₉	—	2	1	no	—
533	C₂×D₄×C₅₉	—	2	1	no	—
534	C₂×D₄×C₅₉	—	2	1	no	—
535	C₂×D₄×C₅₉	—	4	1	no	—
536	C₂×D₄×C₅₉	—	4	1	no	—
537	C₂×D₄×C₅₉	—	4	2	no	—
538	C₂×D₄×C₅₉	—	4	4	no	—
539	C₂×D₄×C₅₉	—	4	4	no	—
540	C₂×D₄×C₅₉	—	4	4	no	—
541	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
542	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
543	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
544	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
546	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
547	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₅₉	—	2	1	no	—
549	C₂²×C₄×C₅₉	—	2	2	no	—
550	C₂²×C₄×C₅₉	—	2	2	no	—
551	C₂²×C₄×C₅₉	—	2	2	no	—
552	C₂²×C₄×C₅₉	—	2	2	no	—
553	C₂²×C₄×C₅₉	—	2	1	no	—
554	C₂²×C₄×C₅₉	—	2	1	no	—
555	C₂²×C₄×C₅₉	—	2	1	no	—
556	C₂²×C₄×C₅₉	—	2	1	no	—
557	C₂²×C₄×C₅₉	—	2	1	no	—
558	C₂²×C₄×C₅₉	—	2	1	no	—
559	C₂²×C₄×C₅₉	—	2	1	no	—
560	C₂²×C₄×C₅₉	—	2	1	no	—
561	C₂²×C₄×C₅₉	—	2	1	no	—
562	C₂²×C₄×C₅₉	—	2	1	no	—
563	C₂²×C₄×C₅₉	—	4	4	no	—
564	C₂²×C₄×C₅₉	—	4	4	no	—
565	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
566	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
567	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
578	C₂×C₂²⋊D₅₉	—	2	1	no	—
579	C₂×C₂²⋊D₅₉	—	2	1	no	—
580	C₂×C₂²⋊D₅₉	—	2	1	no	—
581	C₂×C₂²⋊D₅₉	—	2	1	no	—
582	C₂×C₂²⋊D₅₉	—	2	1	no	—
583	C₂²×Dic₅₉	—	2	1	no	—
584	C₂²×Dic₅₉	—	2	1	no	—
585	C₂²×Dic₅₉	—	2	1	no	—
586	C₂²×Dic₅₉	—	2	1	no	—
587	#11745687	—	4	4	no	—
588	#11745685	—	2	2	no	—
589	#11745685	—	2	2	no	—
590	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₅₉	—	2	1	no	—
592	C₂×C₄×D₅₉	—	2	1	no	—
593	C₂×C₄×D₅₉	—	2	1	no	—
594	C₂×Dic₁₁₈	—	2	1	no	—
595	C₂×Dic₁₁₈	—	2	1	no	—
596	C₂×Dic₁₁₈	C₂⁴	1	1	yes	characteristic
597	C₄⋊C₄×C₅₉	—	2	1	no	—
598	C₄⋊C₄×C₅₉	—	2	1	no	—
599	C₄⋊C₄×C₅₉	—	2	1	no	—
600	C₄⋊C₄×C₅₉	—	2	1	no	—
601	C₄⋊C₄×C₅₉	—	2	1	no	—
602	C₄⋊C₄×C₅₉	—	2	1	no	—
603	C₄⋊C₄×C₅₉	—	2	1	no	—
604	C₄⋊C₄×C₅₉	—	2	1	no	—
605	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
611	C₂²⋊C₄×C₅₉	—	2	1	no	—
612	C₂²⋊C₄×C₅₉	—	2	1	no	—
613	C₂²⋊C₄×C₅₉	—	2	1	no	—
614	C₂²⋊C₄×C₅₉	—	2	1	no	—
615	C₂²⋊C₄×C₅₉	—	2	1	no	—
616	C₂²⋊C₄×C₅₉	—	2	1	no	—
617	C₂²⋊C₄×C₅₉	—	2	1	no	—
618	C₂²⋊C₄×C₅₉	—	2	1	no	—
619	C₂²⋊C₄×C₅₉	—	2	1	no	—
620	C₂²⋊C₄×C₅₉	—	2	1	no	—
621	C₂²⋊C₄×C₅₉	—	2	1	no	—
622	C₂²⋊C₄×C₅₉	—	2	1	no	—
623	C₂²⋊C₄×C₅₉	—	2	1	no	—
624	C₂²⋊C₄×C₅₉	—	2	1	no	—
625	C₂²⋊C₄×C₅₉	—	2	1	no	—
626	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
634	C₄²×C₅₉	—	2	1	no	—
635	C₄²×C₅₉	—	2	1	no	—
636	C₄²×C₅₉	—	2	1	no	—
637	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
638	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
639	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
640	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
641	C₂²⋊Dic₅₉	—	2	1	no	—
642	C₂²⋊Dic₅₉	—	2	1	no	—
643	C₂²⋊Dic₅₉	—	2	1	no	—
644	C₂²⋊Dic₅₉	—	2	1	no	—
645	C₂²⋊Dic₅₉	—	2	1	no	—
646	C₂²⋊Dic₅₉	—	2	1	no	—
647	C₂²⋊Dic₅₉	—	2	1	no	—
648	C₂²⋊Dic₅₉	—	2	1	no	—
649	C₂²⋊Dic₅₉	—	2	1	no	—
650	C₂²⋊Dic₅₉	—	2	1	no	—
651	C₂²⋊Dic₅₉	—	2	1	no	—
652	#11745672	—	2	2	no	—
653	#11745672	—	4	1	no	—
654	#11745672	—	4	1	no	—
655	#11745671	—	2	2	no	—
656	#11745671	—	4	1	no	—
657	#11745671	—	4	1	no	—
658	#11745670	—	2	2	no	—
659	#11745670	—	4	1	no	—
660	#11745670	—	4	1	no	—
661	#11745669	—	2	2	no	—
662	#11745669	—	4	1	no	—
663	#11745669	—	4	1	no	—
664	(C₂×D₅₉)⋊C₄	—	2	1	no	—
665	(C₂×D₅₉)⋊C₄	—	2	1	no	—
666	(C₂×D₅₉)⋊C₄	—	2	1	no	—
667	(C₂×D₅₉)⋊C₄	—	2	1	no	—
668	(C₂×D₅₉)⋊C₄	—	2	1	no	—
669	(C₂×D₅₉)⋊C₄	—	2	1	no	—
670	C₄⋊Dic₅₉	—	2	1	no	—
671	C₄⋊Dic₅₉	—	2	1	no	—
672	C₄⋊Dic₅₉	—	2	1	no	—
673	C₄⋊Dic₅₉	—	2	1	no	—
674	C₄⋊Dic₅₉	—	2	1	no	—
675	C₄⋊Dic₅₉	—	2	1	no	—
676	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
682	Dic₅₉⋊C₄	—	2	1	no	—
683	Dic₅₉⋊C₄	—	2	1	no	—
684	Dic₅₉⋊C₄	—	2	1	no	—
685	Dic₅₉⋊C₄	—	2	1	no	—
686	Dic₅₉⋊C₄	—	2	1	no	—
687	Dic₅₉⋊C₄	—	2	1	no	—
688	Dic₅₉⋊C₄	—	2	1	no	—
689	Dic₅₉⋊C₄	—	2	1	no	—
690	Dic₅₉⋊C₄	—	2	1	no	—
691	Dic₅₉⋊C₄	—	2	1	no	—
692	C₄×Dic₅₉	—	2	1	no	—
693	C₄×Dic₅₉	—	2	1	no	—
694	C₄×Dic₅₉	—	2	1	no	—
695	C₄×Dic₅₉	—	2	1	no	—
696	C₄×Dic₅₉	—	2	1	no	—
697	C₄×Dic₅₉	—	2	1	no	—
698	C₄×Dic₅₉	—	2	1	no	—
699	C₄×Dic₅₉	—	2	1	no	—
700	C₄×Dic₅₉	—	2	1	no	—
701	#11745664	—	4	1	no	—
702	#11745664	—	4	1	no	—
703	#11745664	—	4	1	no	—
704	#11745664	—	4	1	no	—
705	C₂×C₅₉⋊C₈	—	2	2	no	—
706	C₂×C₅₉⋊C₈	—	2	2	no	—
707	C₂×C₅₉⋊C₈	—	2	2	no	—
708	C₂×C₅₉⋊C₈	—	2	2	no	—
709	C₂×C₅₉⋊C₈	—	4	1	no	—
710	C₂×C₅₉⋊C₈	—	4	1	no	—
711	C₂×C₅₉⋊C₈	—	4	1	no	—
712	C₂×C₅₉⋊C₈	—	4	1	no	—
713	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
714	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
715	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
716	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
717	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
718	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
719	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
720	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
721	C₂³×C₅₉	—	2	2	no	—
722	C₂³×C₅₉	—	2	2	no	—
723	C₂³×C₅₉	—	2	1	no	—
724	C₂³×C₅₉	—	2	2	no	—
725	C₂³×C₅₉	—	2	1	no	—
726	C₂³×C₅₉	—	2	1	no	—
727	C₂³×C₅₉	—	4	1	no	—
728	C₂³×C₅₉	—	4	1	no	—
729	C₂³×C₅₉	—	4	1	no	—
730	C₂³×C₅₉	—	4	2	no	—
731	C₂³×C₅₉	—	4	2	no	—
732	C₂³×C₅₉	—	4	2	no	—
733	C₂³×C₅₉	—	4	2	no	—
734	C₂³×C₅₉	—	8	1	no	—
735	C₂³×C₅₉	—	8	1	no	—
736	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
737	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
738	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
739	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
741	C₂²×D₅₉	—	2	1	no	—
742	Q₈×C₅₉	—	2	1	no	—
743	Q₈×C₅₉	—	2	1	no	—
744	Q₈×C₅₉	—	2	1	no	—
745	Q₈×C₅₉	—	2	1	no	—
746	Q₈×C₅₉	—	2	1	no	—
747	Q₈×C₅₉	—	4	2	no	—
748	Q₈×C₅₉	—	4	2	no	—
749	Q₈×C₅₉	C₂×#41	1	2	yes	—
750	D₄×C₅₉	—	2	4	no	—
751	D₄×C₅₉	—	2	2	no	—
752	D₄×C₅₉	—	2	2	no	—
753	D₄×C₅₉	—	2	1	no	—
754	D₄×C₅₉	—	2	1	no	—
755	D₄×C₅₉	—	2	1	no	—
756	D₄×C₅₉	—	2	1	no	—
757	D₄×C₅₉	—	2	1	no	—
758	D₄×C₅₉	—	4	1	no	—
759	D₄×C₅₉	—	4	1	no	—
760	D₄×C₅₉	—	4	2	no	—
761	D₄×C₅₉	—	4	2	no	—
762	D₄×C₅₉	—	4	2	no	—
763	D₄×C₅₉	—	4	2	no	—
764	D₄×C₅₉	—	4	2	no	—
765	D₄×C₅₉	—	4	2	no	—
766	D₄×C₅₉	—	4	2	no	—
767	D₄×C₅₉	—	4	2	no	—
768	D₄×C₅₉	—	4	2	no	—
769	D₄×C₅₉	—	4	2	no	—
770	D₄×C₅₉	—	4	2	no	—
771	D₄×C₅₉	—	8	1	no	—
772	D₄×C₅₉	—	8	1	no	—
773	D₄×C₅₉	—	8	1	no	—
774	D₄×C₅₉	C₂×#41	1	2	yes	—
775	C₂×C₄×C₅₉	—	2	2	no	—
776	C₂×C₄×C₅₉	—	2	2	no	—
777	C₂×C₄×C₅₉	—	2	1	no	—
778	C₂×C₄×C₅₉	—	2	2	no	—
779	C₂×C₄×C₅₉	—	2	2	no	—
780	C₂×C₄×C₅₉	—	2	2	no	—
781	C₂×C₄×C₅₉	—	2	2	no	—
782	C₂×C₄×C₅₉	—	2	4	no	—
783	C₂×C₄×C₅₉	—	2	1	no	—
784	C₂×C₄×C₅₉	—	2	1	no	—
785	C₂×C₄×C₅₉	—	2	1	no	—
786	C₂×C₄×C₅₉	—	2	1	no	—
787	C₂×C₄×C₅₉	—	2	1	no	—
788	C₂×C₄×C₅₉	—	2	1	no	—
789	C₂×C₄×C₅₉	—	2	1	no	—
790	C₂×C₄×C₅₉	—	2	1	no	—
791	C₂×C₄×C₅₉	—	2	1	no	—
792	C₂×C₄×C₅₉	—	2	1	no	—
793	C₂×C₄×C₅₉	—	2	1	no	—
794	C₂×C₄×C₅₉	—	2	1	no	—
795	C₂×C₄×C₅₉	—	4	1	no	—
796	C₂×C₄×C₅₉	—	4	1	no	—
797	C₂×C₄×C₅₉	—	4	2	no	—
798	C₂×C₄×C₅₉	—	4	2	no	—
799	C₂×C₄×C₅₉	—	4	2	no	—
800	C₂×C₄×C₅₉	—	4	2	no	—
801	C₂×C₄×C₅₉	—	4	2	no	—
802	C₂×C₄×C₅₉	—	4	2	no	—
803	C₂×C₄×C₅₉	—	4	2	no	—
804	C₂×C₄×C₅₉	—	4	2	no	—
805	C₂×C₄×C₅₉	—	4	2	no	—
806	C₂×C₄×C₅₉	—	8	1	no	—
807	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
817	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
818	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
819	C₂²⋊D₅₉	—	4	2	no	—
820	C₂²⋊D₅₉	—	4	2	no	—
821	C₂²⋊D₅₉	—	4	2	no	—
822	C₂²⋊D₅₉	—	8	1	no	—
823	C₂²⋊D₅₉	—	8	1	no	—
824	C₂×Dic₅₉	—	2	1	no	—
825	C₂×Dic₅₉	—	2	1	no	—
826	C₂×Dic₅₉	—	2	1	no	—
827	C₂×Dic₅₉	—	2	1	no	—
828	C₂×Dic₅₉	—	2	1	no	—
829	C₂×Dic₅₉	—	2	1	no	—
830	C₂×Dic₅₉	—	2	1	no	—
831	C₂×Dic₅₉	—	4	2	no	—
832	C₂×Dic₅₉	—	4	2	no	—
833	C₂×Dic₅₉	—	8	1	no	—
834	C₂×Dic₅₉	—	8	1	no	—
835	D₂₃₆	—	2	1	no	—
836	D₂₃₆	—	2	1	no	—
837	C₄×D₅₉	—	4	2	no	—
838	C₄×D₅₉	—	4	2	no	—
839	C₄×D₅₉	—	8	1	no	—
840	Dic₁₁₈	—	2	1	no	—
841	Dic₁₁₈	—	2	1	no	—
842	Dic₁₁₈	—	4	2	no	—
843	Dic₁₁₈	—	8	1	no	—
844	C₅₉⋊C₈	—	2	1	no	—
845	C₅₉⋊C₈	—	2	1	no	—
846	C₅₉⋊C₈	—	2	1	no	—
847	C₅₉⋊C₈	—	2	1	no	—
848	C₅₉⋊C₈	—	2	1	no	—
849	C₅₉⋊C₈	—	2	1	no	—
850	C₅₉⋊C₈	—	2	1	no	—
851	C₅₉⋊C₈	—	2	1	no	—
852	#61141	—	59	1	no	maximal, Sylow
853	C₂²×C₅₉	—	2	1	no	—
854	C₂²×C₅₉	—	2	1	no	—
855	C₂²×C₅₉	—	2	1	no	—
856	C₂²×C₅₉	—	2	1	no	—
857	C₂²×C₅₉	—	2	1	no	—
858	C₂²×C₅₉	—	2	1	no	—
859	C₂²×C₅₉	—	2	1	no	—
860	C₂²×C₅₉	—	2	1	no	—
861	C₂²×C₅₉	—	2	1	no	—
862	C₂²×C₅₉	—	2	1	no	—
863	C₂²×C₅₉	—	2	2	no	—
864	C₂²×C₅₉	—	2	1	no	—
865	C₂²×C₅₉	—	2	1	no	—
866	C₂²×C₅₉	—	2	1	no	—
867	C₂²×C₅₉	—	4	4	no	—
868	C₂²×C₅₉	—	4	1	no	—
869	C₂²×C₅₉	—	4	1	no	—
870	C₂²×C₅₉	—	4	1	no	—
871	C₂²×C₅₉	—	4	1	no	—
872	C₂²×C₅₉	—	4	1	no	—
873	C₂²×C₅₉	—	4	1	no	—
874	C₂²×C₅₉	—	4	1	no	—
875	C₂²×C₅₉	—	4	1	no	—
876	C₂²×C₅₉	—	8	2	no	—
877	C₂²×C₅₉	—	8	4	no	—
878	C₂²×C₅₉	—	8	4	no	—
879	C₂²×C₅₉	#546	1	2	yes	—
880	C₂²×C₅₉	#575	1	2	yes	—
881	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
882	C₂×D₅₉	—	4	1	no	—
883	C₂×D₅₉	—	4	1	no	—
884	C₂×D₅₉	—	4	1	no	—
885	C₄×C₅₉	—	2	1	no	—
886	C₄×C₅₉	—	2	1	no	—
887	C₄×C₅₉	—	2	1	no	—
888	C₄×C₅₉	—	2	1	no	—
889	C₄×C₅₉	—	2	1	no	—
890	C₄×C₅₉	—	2	1	no	—
891	C₄×C₅₉	—	2	2	no	—
892	C₄×C₅₉	—	2	1	no	—
893	C₄×C₅₉	—	2	1	no	—
894	C₄×C₅₉	—	4	1	no	—
895	C₄×C₅₉	—	4	1	no	—
896	C₄×C₅₉	—	4	1	no	—
897	C₄×C₅₉	—	4	1	no	—
898	C₄×C₅₉	#546	1	2	yes	—
899	C₄×C₅₉	C₂²×#41	1	1	yes	characteristic
900	C₄×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
901	Dic₅₉	—	4	1	no	—
902	Dic₅₉	—	4	1	no	—
903	Dic₅₉	—	4	1	no	—
904	Dic₅₉	—	4	1	no	—
905	Dic₅₉	—	4	1	no	—
906	Dic₅₉	—	4	1	no	—
907	Dic₅₉	—	4	1	no	—
908	#3475	—	59	1	no	—
909	D₄×#41	D₅₉	1	1	yes	characteristic, complemented
910	#3321	—	59	1	no	—
911	#3320	—	59	1	no	—
912	#3319	—	59	1	no	—
913	#3318	—	59	1	no	—
914	#3317	—	59	1	no	—
915	#3316	—	59	1	no	—
916	#3315	—	59	1	no	—
917	#3314	—	59	1	no	—
918	#3313	—	59	1	no	—
919	#3312	—	59	1	no	—
920	#3311	—	59	1	no	—
921	#3310	—	59	1	no	—
922	#3309	—	59	1	no	—
923	#3308	—	59	1	no	—
924	#3307	—	59	1	no	—
925	#3306	—	59	1	no	—
926	#3135	—	59	1	no	—
927	#3091	—	59	1	no	—
928	#3091	—	59	1	no	—
929	#3076	—	59	1	no	—
930	#3054	—	59	1	no	—
931	#3050	—	59	1	no	—
932	#3035	—	59	1	no	—
933	#3002	—	59	1	no	—
934	#3002	—	59	1	no	—
935	#2943	—	59	1	no	—
936	C₂×#435	—	59	1	no	—
937	#2896	—	59	1	no	—
938	C₂×#416	—	59	1	no	—
939	C₂×C₅₉	—	2	2	no	—
940	C₂×C₅₉	—	2	2	no	—
941	C₂×C₅₉	—	4	1	no	—
942	C₂×C₅₉	—	4	1	no	—
943	C₂×C₅₉	—	4	1	no	—
944	C₂×C₅₉	—	4	2	no	—
945	C₂×C₅₉	—	8	1	no	—
946	C₂×C₅₉	—	8	1	no	—
947	C₂×C₅₉	C₂×#546	1	1	yes	characteristic
948	C₂×C₅₉	C₂×#575	1	1	yes	characteristic
949	C₂×C₅₉	#3584	1	1	yes	characteristic
950	D₅₉	—	8	1	no	—
951	C₂²×#41	C₂×D₅₉	1	1	yes	characteristic
952	C₂²×#41	C₂×D₅₉	1	1	yes	characteristic
953	C₂×#135	—	59	1	no	—
954	C₂×#135	—	59	1	no	—
955	C₂×#135	—	59	1	no	—
956	C₂²×M₁₆	—	59	1	no	—
957	C₂³×C₈	—	59	1	no	—
958	#556	—	59	1	no	—
959	#555	—	59	1	no	—
960	#554	—	59	1	no	—
961	#553	—	59	1	no	—
962	#553	—	59	1	no	—
963	#552	—	59	1	no	—
964	#552	—	59	1	no	—
965	#552	—	118	1	no	—
966	#551	—	118	1	no	—
967	#551	—	118	1	no	—
968	#550	C₂×D₅₉	1	1	yes	characteristic
969	D₄×Q₈	C₂×D₅₉	1	1	yes	characteristic
970	#548	C₂×D₅₉	1	1	yes	characteristic
971	#548	C₂×D₅₉	1	1	yes	characteristic
972	#547	—	2	1	no	—
973	#547	—	59	1	no	—
974	#547	C₂×D₅₉	1	1	yes	characteristic
975	#546	—	2	1	no	—
976	#546	—	2	1	no	—
977	#546	—	118	1	no	—
978	#546	C₂×D₅₉	1	1	yes	characteristic
979	#546	C₂×D₅₉	1	1	yes	characteristic
980	D₄²	—	2	1	no	—
981	D₄²	C₂×D₅₉	1	1	yes	characteristic
982	#533	—	59	1	no	—
983	#532	—	2	1	no	—
984	#532	C₂×D₅₉	1	1	yes	characteristic
985	#529	—	118	1	no	—
986	#529	—	118	1	no	—
987	#529	—	118	1	no	—
988	#525	—	2	1	no	—
989	#525	—	2	1	no	—
990	#525	—	59	1	no	—
991	#525	—	59	1	no	—
992	#525	C₂×D₅₉	1	1	yes	characteristic
993	#525	C₂×D₅₉	1	1	yes	characteristic
994	C₄×#41	—	59	1	no	—
995	C₄×#41	—	118	1	no	—
996	C₄×#41	C₂×D₅₉	1	1	yes	characteristic
997	C₂×C₄×D₄	—	2	1	no	—
998	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic
999	C₂×#117	—	59	1	no	—
1000	C₂×#117	—	59	1	no	—
1001	#491	—	59	1	no	—
1002	#491	—	59	1	no	—
1003	#490	—	59	1	no	—
1004	#490	—	59	1	no	—
1005	#489	—	59	1	no	—
1006	#489	—	59	1	no	—
1007	#489	—	59	1	no	—
1008	#489	—	59	1	no	—
1009	#485	—	59	1	no	—
1010	#485	—	59	1	no	—
1011	#485	—	59	1	no	—
1012	#485	—	59	1	no	—
1013	#484	—	59	1	no	—
1014	#484	—	59	1	no	—
1015	#483	—	59	1	no	—
1016	#483	—	59	1	no	—
1017	#482	—	59	1	no	—
1018	#482	—	59	1	no	—
1019	#482	—	59	1	no	—
1020	#482	—	59	1	no	—
1021	#481	—	59	1	no	—
1022	#481	—	59	1	no	—
1023	#480	—	59	1	no	—
1024	#480	—	59	1	no	—
1025	#479	—	59	1	no	—
1026	#479	—	59	1	no	—
1027	#478	—	59	1	no	—
1028	#478	—	59	1	no	—
1029	#477	—	59	1	no	—
1030	#476	—	59	1	no	—
1031	#475	—	59	1	no	—
1032	#474	—	59	1	no	—
1033	#470	—	59	1	no	—
1034	#470	—	59	1	no	—
1035	#469	—	59	1	no	—
1036	#469	—	59	1	no	—
1037	#468	—	59	1	no	—
1038	#468	—	59	1	no	—
1039	#468	—	59	1	no	—
1040	#468	—	59	1	no	—
1041	#467	—	59	1	no	—
1042	#467	—	59	1	no	—
1043	#466	—	59	1	no	—
1044	#466	—	59	1	no	—
1045	#465	—	59	1	no	—
1046	#465	—	59	1	no	—
1047	#465	—	59	1	no	—
1048	#465	—	59	1	no	—
1049	#464	—	59	1	no	—
1050	#464	—	59	1	no	—
1051	#463	—	59	1	no	—
1052	#463	—	59	1	no	—
1053	#462	—	59	1	no	—
1054	#461	—	59	1	no	—
1055	#460	—	59	1	no	—
1056	#459	—	59	1	no	—
1057	#452	—	59	1	no	—
1058	#452	—	59	1	no	—
1059	#452	—	59	1	no	—
1060	#452	—	59	1	no	—
1061	#451	—	59	1	no	—
1062	#451	—	59	1	no	—
1063	#450	—	59	1	no	—
1064	#450	—	59	1	no	—
1065	#449	—	59	1	no	—
1066	#449	—	59	1	no	—
1067	#449	—	59	1	no	—
1068	#449	—	59	1	no	—
1069	#448	—	59	1	no	—
1070	#448	—	59	1	no	—
1071	#447	—	59	1	no	—
1072	#447	—	59	1	no	—
1073	#442	—	59	1	no	—
1074	#442	—	59	1	no	—
1075	#441	—	59	1	no	—
1076	#441	—	59	1	no	—
1077	#440	—	59	1	no	—
1078	#440	—	59	1	no	—
1079	#440	—	59	1	no	—
1080	#440	—	59	1	no	—
1081	#435	—	59	1	no	—
1082	#435	—	59	1	no	—
1083	#435	—	59	1	no	—
1084	#435	—	59	1	no	—
1085	#435	—	59	1	no	—
1086	#435	—	59	1	no	—
1087	#435	—	59	1	no	—
1088	#435	—	59	1	no	—
1089	#427	—	59	1	no	—
1090	#427	—	59	1	no	—
1091	#427	—	59	1	no	—
1092	C₂×C₄⋊C₈	—	59	1	no	—
1093	#419	—	59	1	no	—
1094	#419	—	59	1	no	—
1095	#418	—	59	1	no	—
1096	#418	—	59	1	no	—
1097	#417	—	59	1	no	—
1098	#417	—	59	1	no	—
1099	#417	—	59	1	no	—
1100	#417	—	59	1	no	—
1101	#416	—	59	1	no	—
1102	#416	—	59	1	no	—
1103	#416	—	59	1	no	—
1104	#416	—	59	1	no	—
1105	#416	—	59	1	no	—
1106	#416	—	59	1	no	—
1107	#416	—	59	1	no	—
1108	#416	—	59	1	no	—
1109	#416	—	59	1	no	—
1110	#416	—	59	1	no	—
1111	#416	—	59	1	no	—
1112	#416	—	59	1	no	—
1113	#416	—	59	1	no	—
1114	#416	—	59	1	no	—
1115	C₂×#103	—	59	1	no	—
1116	C₂×#103	—	59	1	no	—
1117	C₂×#102	—	59	1	no	—
1118	C₂×#102	—	59	1	no	—
1119	C₂×C₂²⋊C₈	—	59	1	no	—
1120	C₂×C₂²⋊C₈	—	59	1	no	—
1121	C₂×#97	—	59	1	no	—
1122	C₅₉	#61141	1	1	yes	characteristic, complemented, Sylow
1123	C₂×#41	—	2	1	no	—
1124	C₂×#41	—	2	1	no	—
1125	C₂×#41	—	2	1	no	—
1126	C₂×#41	—	2	1	no	—
1127	C₂×#41	—	2	4	no	—
1128	C₂×#41	—	2	4	no	—
1129	C₂×#41	—	4	2	no	—
1130	C₂×#41	—	4	2	no	—
1131	C₂×#41	—	59	1	no	—
1132	C₂×#41	—	118	1	no	—
1133	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1134	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1135	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1136	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1137	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1138	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1140	C₂²×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1141	C₂²×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1142	C₂²×D₄	—	2	1	no	—
1143	C₂²×D₄	—	2	1	no	—
1144	C₂²×D₄	—	2	1	no	—
1145	C₂²×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1146	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
1147	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
1148	C₂³×C₄	—	2	1	no	—
1149	C₂³×C₄	—	2	1	no	—
1150	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
1151	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
1152	#135	—	118	4	no	—
1153	#135	—	236	2	no	—
1154	#135	—	236	2	no	—
1155	C₂×Q₁₆	—	59	1	no	—
1156	C₂×Q₁₆	—	59	1	no	—
1157	C₂×Q₁₆	—	59	1	no	—
1158	C₂×SD₁₆	—	59	1	no	—
1159	C₂×SD₁₆	—	59	1	no	—
1160	C₂×SD₁₆	—	59	1	no	—
1161	C₂×SD₁₆	—	59	1	no	—
1162	C₂×SD₁₆	—	59	1	no	—
1163	C₂×SD₁₆	—	59	1	no	—
1164	C₂×D₈	—	59	1	no	—
1165	C₂×D₈	—	59	1	no	—
1166	C₂×D₈	—	59	1	no	—
1167	C₂×M₁₆	—	59	1	no	—
1168	C₂×M₁₆	—	59	1	no	—
1169	C₂×M₁₆	—	59	1	no	—
1170	C₂×M₁₆	—	59	1	no	—
1171	C₂×M₁₆	—	236	2	no	—
1172	C₂²×C₈	—	59	1	no	—
1173	C₂²×C₈	—	59	1	no	—
1174	C₂²×C₈	—	59	1	no	—
1175	C₂²×C₈	—	59	1	no	—
1176	C₂²×C₈	—	59	1	no	—
1177	C₂²×C₈	—	59	1	no	—
1178	C₂²×C₈	—	59	1	no	—
1179	C₂²×C₈	—	59	1	no	—
1180	C₂²×C₈	—	236	2	no	—
1181	C₄⋊Q₈	—	2	1	no	—
1182	C₄⋊Q₈	—	59	1	no	—
1183	C₄⋊Q₈	—	59	1	no	—
1184	C₄⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1185	#127	—	2	1	no	—
1186	#127	C₂²×D₅₉	1	1	yes	characteristic
1187	#126	—	118	1	no	—
1188	#126	—	118	1	no	—
1189	#126	—	118	1	no	—
1190	#126	—	118	1	no	—
1191	#126	—	118	1	no	—
1192	#126	—	118	1	no	—
1193	#125	—	59	1	no	—
1194	#125	—	59	1	no	—
1195	#125	—	118	1	no	—
1196	#125	—	118	1	no	—
1197	#125	—	118	1	no	—
1198	#124	—	2	1	no	—
1199	#124	—	2	1	no	—
1200	#124	—	118	1	no	—
1201	#124	—	118	1	no	—
1202	#124	—	118	1	no	—
1203	#124	C₂²×D₅₉	1	1	yes	characteristic
1204	#124	C₂²×D₅₉	1	1	yes	characteristic
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	118	1	no	—
1212	#123	—	118	1	no	—
1213	#123	—	118	1	no	—
1214	#123	—	118	1	no	—
1215	#123	—	118	1	no	—
1216	#123	—	118	1	no	—
1217	#123	—	118	1	no	—
1218	#123	—	118	1	no	—
1219	C₂²⋊Q₈	—	2	1	no	—
1220	C₂²⋊Q₈	—	2	1	no	—
1221	C₂²⋊Q₈	—	2	1	no	—
1222	C₂²⋊Q₈	—	2	1	no	—
1223	C₂²⋊Q₈	—	59	1	no	—
1224	C₂²⋊Q₈	—	59	1	no	—
1225	C₂²⋊Q₈	—	59	1	no	—
1226	C₂²⋊Q₈	—	59	1	no	—
1227	C₂²⋊Q₈	—	118	1	no	—
1228	C₂²⋊Q₈	—	118	1	no	—
1229	C₂²⋊Q₈	—	118	1	no	—
1230	C₂²⋊Q₈	—	118	1	no	—
1231	C₂²⋊Q₈	—	118	1	no	—
1232	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1235	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	2	1	no	—
1246	#121	—	59	1	no	—
1247	#121	—	59	1	no	—
1248	#121	—	59	1	no	—
1249	#121	—	59	1	no	—
1250	#121	—	118	1	no	—
1251	#121	—	118	1	no	—
1252	#121	—	118	1	no	—
1253	#121	C₂²×D₅₉	1	1	yes	characteristic
1254	#121	C₂²×D₅₉	1	1	yes	characteristic
1255	#121	C₂²×D₅₉	1	1	yes	characteristic
1256	#121	C₂²×D₅₉	1	1	yes	characteristic
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	—	118	1	no	—
1264	#120	—	118	1	no	—
1265	C₄×Q₈	—	59	1	no	—
1266	C₄×Q₈	—	59	1	no	—
1267	C₄×Q₈	—	118	1	no	—
1268	C₄×Q₈	—	118	1	no	—
1269	C₄×Q₈	—	118	1	no	—
1270	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1271	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	59	1	no	—
1285	C₄×D₄	—	59	1	no	—
1286	C₄×D₄	—	118	1	no	—
1287	C₄×D₄	—	118	1	no	—
1288	C₄×D₄	—	118	1	no	—
1289	C₄×D₄	—	118	1	no	—
1290	C₄×D₄	—	118	1	no	—
1291	C₄×D₄	—	118	1	no	—
1292	C₄×D₄	—	118	1	no	—
1293	C₄×D₄	—	118	1	no	—
1294	C₄×D₄	—	118	1	no	—
1295	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1296	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1297	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1298	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1299	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1300	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1301	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1302	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1303	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1304	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1305	#117	—	2	1	no	—
1306	#117	—	59	1	no	—
1307	#117	—	59	1	no	—
1308	#117	—	59	1	no	—
1309	#117	—	59	1	no	—
1310	#117	—	59	1	no	—
1311	#117	—	59	1	no	—
1312	#117	—	59	1	no	—
1313	#117	—	118	1	no	—
1314	#117	—	118	1	no	—
1315	#117	—	118	1	no	—
1316	#117	—	118	1	no	—
1317	#117	—	118	1	no	—
1318	#117	—	118	1	no	—
1319	#117	—	118	1	no	—
1320	#117	—	118	1	no	—
1321	#117	C₂²×D₅₉	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	2	1	no	—
1323	C₂×C₄⋊C₄	—	59	1	no	—
1324	C₂×C₄⋊C₄	—	59	1	no	—
1325	C₂×C₄⋊C₄	—	59	1	no	—
1326	C₂×C₄⋊C₄	—	59	1	no	—
1327	C₂×C₄⋊C₄	C₂²⋊D₅₉	1	1	yes	characteristic
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	2	1	no	—
1330	C₂×C₂²⋊C₄	—	118	1	no	—
1331	C₂×C₂²⋊C₄	—	118	1	no	—
1332	C₂×C₂²⋊C₄	C₂²⋊D₅₉	1	1	yes	characteristic
1333	C₂×C₂²⋊C₄	C₂²⋊D₅₉	1	1	yes	characteristic
1334	C₂×C₄²	—	2	1	no	—
1335	C₂×C₄²	—	118	1	no	—
1336	C₂×C₄²	—	118	1	no	—
1337	C₂×C₄²	—	118	1	no	—
1338	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1339	#107	—	59	1	no	—
1340	#107	—	59	1	no	—
1341	#107	—	59	1	no	—
1342	#107	—	59	1	no	—
1343	#107	—	59	1	no	—
1344	#107	—	59	1	no	—
1345	#106	—	59	1	no	—
1346	#106	—	59	1	no	—
1347	#106	—	59	1	no	—
1348	#106	—	59	1	no	—
1349	#106	—	59	1	no	—
1350	#106	—	59	1	no	—
1351	C₄⋊C₈	—	59	1	no	—
1352	C₄⋊C₈	—	59	1	no	—
1353	C₄⋊C₈	—	59	1	no	—
1354	C₄⋊C₈	—	59	1	no	—
1355	#103	—	59	1	no	—
1356	#103	—	59	1	no	—
1357	#103	—	59	1	no	—
1358	#103	—	59	1	no	—
1359	#103	—	59	1	no	—
1360	#103	—	59	1	no	—
1361	#103	—	59	1	no	—
1362	#103	—	59	1	no	—
1363	#103	—	59	1	no	—
1364	#103	—	59	1	no	—
1365	#103	—	59	1	no	—
1366	#103	—	59	1	no	—
1367	#103	—	59	1	no	—
1368	#103	—	59	1	no	—
1369	#103	—	59	1	no	—
1370	#103	—	59	1	no	—
1371	#103	—	59	1	no	—
1372	#103	—	59	1	no	—
1373	#103	—	59	1	no	—
1374	#103	—	59	1	no	—
1375	#102	—	59	1	no	—
1376	#102	—	59	1	no	—
1377	#102	—	59	1	no	—
1378	#102	—	59	1	no	—
1379	#102	—	59	1	no	—
1380	#102	—	59	1	no	—
1381	#102	—	59	1	no	—
1382	#102	—	59	1	no	—
1383	#102	—	59	1	no	—
1384	#102	—	59	1	no	—
1385	#102	—	59	1	no	—
1386	#102	—	59	1	no	—
1387	#102	—	59	1	no	—
1388	#102	—	59	1	no	—
1389	#102	—	59	1	no	—
1390	#102	—	59	1	no	—
1391	#102	—	59	1	no	—
1392	#102	—	59	1	no	—
1393	#102	—	59	1	no	—
1394	#102	—	59	1	no	—
1395	C₂²⋊C₈	—	59	1	no	—
1396	C₂²⋊C₈	—	59	1	no	—
1397	C₂²⋊C₈	—	59	1	no	—
1398	C₂²⋊C₈	—	59	1	no	—
1399	C₂²⋊C₈	—	59	1	no	—
1400	C₂²⋊C₈	—	59	1	no	—
1401	C₂²⋊C₈	—	59	1	no	—
1402	C₂²⋊C₈	—	59	1	no	—
1403	#97	—	59	1	no	—
1404	#97	—	59	1	no	—
1405	#97	—	59	1	no	—
1406	#97	—	59	1	no	—
1407	C₂⁴	—	2	1	no	—
1408	C₂⁴	—	2	1	no	—
1409	C₂⁴	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1410	C₂⁴	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1411	#41	—	2	2	no	—
1412	#41	—	2	2	no	—
1413	#41	—	2	2	no	—
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	2	2	no	—
1419	#41	—	2	2	no	—
1420	#41	—	4	4	no	—
1421	#41	—	4	4	no	—
1422	#41	—	4	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	1	no	—
1426	#41	—	4	4	no	—
1427	#41	—	4	4	no	—
1428	#41	—	118	2	no	—
1429	#41	—	118	2	no	—
1430	#41	—	236	4	no	—
1431	#41	#11745687	1	4	yes	complemented
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	2	2	no	—
1435	C₂×Q₈	—	2	2	no	—
1436	C₂×Q₈	—	4	1	no	—
1437	C₂×Q₈	—	4	1	no	—
1438	C₂×Q₈	—	59	1	no	—
1439	C₂×Q₈	—	118	1	no	—
1440	C₂×Q₈	—	118	1	no	—
1441	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1442	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1443	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	2	no	—
1446	C₂×D₄	—	2	2	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	4	1	no	—
1462	C₂×D₄	—	4	1	no	—
1463	C₂×D₄	—	4	2	no	—
1464	C₂×D₄	—	4	4	no	—
1465	C₂×D₄	—	4	4	no	—
1466	C₂×D₄	—	4	4	no	—
1467	C₂×D₄	—	59	1	no	—
1468	C₂×D₄	—	118	1	no	—
1469	C₂×D₄	—	118	1	no	—
1470	C₂×D₄	—	118	1	no	—
1471	C₂×D₄	—	118	1	no	—
1472	C₂×D₄	—	118	1	no	—
1473	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1474	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1475	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1476	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1477	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1478	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1479	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	2	no	—
1482	C₂²×C₄	—	2	2	no	—
1483	C₂²×C₄	—	2	2	no	—
1484	C₂²×C₄	—	2	2	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	4	4	no	—
1496	C₂²×C₄	—	4	4	no	—
1497	C₂²×C₄	—	118	1	no	—
1498	C₂²×C₄	—	118	1	no	—
1499	C₂²×C₄	—	118	1	no	—
1500	C₂²×C₄	—	118	1	no	—
1501	C₂²×C₄	—	118	1	no	—
1502	C₂²×C₄	—	118	1	no	—
1503	C₂²×C₄	—	118	1	no	—
1504	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1505	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1506	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1507	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1508	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1509	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1510	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1511	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1516	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1517	Q₁₆	—	118	2	no	—
1518	Q₁₆	—	236	1	no	—
1519	Q₁₆	—	236	1	no	—
1520	SD₁₆	—	118	2	no	—
1521	SD₁₆	—	118	2	no	—
1522	SD₁₆	—	236	1	no	—
1523	SD₁₆	—	236	1	no	—
1524	SD₁₆	—	236	1	no	—
1525	SD₁₆	—	236	1	no	—
1526	D₈	—	118	2	no	—
1527	D₈	—	236	1	no	—
1528	D₈	—	236	1	no	—
1529	M₁₆	—	236	1	no	—
1530	M₁₆	—	236	1	no	—
1531	M₁₆	—	236	1	no	—
1532	M₁₆	—	236	1	no	—
1533	C₂×C₈	—	59	1	no	—
1534	C₂×C₈	—	59	1	no	—
1535	C₂×C₈	—	59	1	no	—
1536	C₂×C₈	—	59	1	no	—
1537	C₂×C₈	—	59	1	no	—
1538	C₂×C₈	—	59	1	no	—
1539	C₂×C₈	—	59	1	no	—
1540	C₂×C₈	—	59	1	no	—
1541	C₂×C₈	—	118	2	no	—
1542	C₂×C₈	—	118	2	no	—
1543	C₂×C₈	—	118	2	no	—
1544	C₂×C₈	—	118	2	no	—
1545	C₂×C₈	—	236	1	no	—
1546	C₂×C₈	—	236	1	no	—
1547	C₂×C₈	—	236	1	no	—
1548	C₂×C₈	—	236	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	59	1	no	—
1558	C₄⋊C₄	—	59	1	no	—
1559	C₄⋊C₄	—	59	1	no	—
1560	C₄⋊C₄	—	59	1	no	—
1561	C₄⋊C₄	—	59	1	no	—
1562	C₄⋊C₄	—	59	1	no	—
1563	C₄⋊C₄	—	118	1	no	—
1564	C₄⋊C₄	—	118	1	no	—
1565	C₄⋊C₄	—	118	1	no	—
1566	C₄⋊C₄	—	118	1	no	—
1567	C₄⋊C₄	—	118	1	no	—
1568	C₄⋊C₄	—	118	1	no	—
1569	C₄⋊C₄	—	118	1	no	—
1570	C₄⋊C₄	—	118	1	no	—
1571	C₄⋊C₄	—	118	1	no	—
1572	C₄⋊C₄	—	118	1	no	—
1573	C₄⋊C₄	—	118	1	no	—
1574	C₄⋊C₄	—	118	1	no	—
1575	C₄⋊C₄	—	118	1	no	—
1576	C₄⋊C₄	—	118	1	no	—
1577	C₄⋊C₄	—	118	1	no	—
1578	C₄⋊C₄	—	118	1	no	—
1579	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1580	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1581	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1582	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1584	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	118	1	no	—
1601	C₂²⋊C₄	—	118	1	no	—
1602	C₂²⋊C₄	—	118	1	no	—
1603	C₂²⋊C₄	—	118	1	no	—
1604	C₂²⋊C₄	—	118	1	no	—
1605	C₂²⋊C₄	—	118	1	no	—
1606	C₂²⋊C₄	—	118	1	no	—
1607	C₂²⋊C₄	—	118	1	no	—
1608	C₂²⋊C₄	—	118	1	no	—
1609	C₂²⋊C₄	—	118	1	no	—
1610	C₂²⋊C₄	—	118	1	no	—
1611	C₂²⋊C₄	—	118	1	no	—
1612	C₂²⋊C₄	—	118	1	no	—
1613	C₂²⋊C₄	—	118	1	no	—
1614	C₂²⋊C₄	—	118	1	no	—
1615	C₂²⋊C₄	—	118	1	no	—
1616	C₂²⋊C₄	—	118	1	no	—
1617	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	2	1	no	—
1628	C₄²	—	118	1	no	—
1629	C₄²	—	118	1	no	—
1630	C₄²	—	118	1	no	—
1631	C₄²	—	118	1	no	—
1632	C₄²	—	118	1	no	—
1633	C₄²	—	118	1	no	—
1634	C₄²	—	118	1	no	—
1635	C₄²	—	118	1	no	—
1636	C₄²	—	118	1	no	—
1637	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1638	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1639	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1640	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1641	C₂³	—	2	2	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	2	no	—
1644	C₂³	—	2	2	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	4	1	no	—
1648	C₂³	—	4	1	no	—
1649	C₂³	—	4	1	no	—
1650	C₂³	—	4	2	no	—
1651	C₂³	—	4	2	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	2	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	118	1	no	—
1657	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1658	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1659	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1660	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1661	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	4	2	no	—
1668	Q₈	—	4	2	no	—
1669	Q₈	—	118	1	no	—
1670	Q₈	—	118	1	no	—
1671	Q₈	—	472	1	no	—
1672	Q₈	—	236	2	no	—
1673	Q₈	C₂×#11745687	1	2	yes	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	4	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	1	no	—
1683	D₄	—	4	1	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	8	1	no	—
1696	D₄	—	8	1	no	—
1697	D₄	—	8	1	no	—
1698	D₄	—	118	1	no	—
1699	D₄	—	118	1	no	—
1700	D₄	—	472	1	no	—
1701	D₄	—	472	1	no	—
1702	D₄	—	236	2	no	—
1703	D₄	—	236	2	no	—
1704	D₄	—	236	2	no	—
1705	D₄	C₂×#11745687	1	2	yes	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	2	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	4	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	4	1	no	—
1727	C₂×C₄	—	4	1	no	—
1728	C₂×C₄	—	4	2	no	—
1729	C₂×C₄	—	4	2	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	118	1	no	—
1739	C₂×C₄	—	118	1	no	—
1740	C₂×C₄	—	118	1	no	—
1741	C₂×C₄	—	118	1	no	—
1742	C₂×C₄	—	118	1	no	—
1743	C₂×C₄	—	118	1	no	—
1744	C₂×C₄	—	118	1	no	—
1745	C₂×C₄	—	472	1	no	—
1746	C₂×C₄	—	472	1	no	—
1747	C₂×C₄	—	472	1	no	—
1748	C₂×C₄	—	236	2	no	—
1749	C₂×C₄	—	236	2	no	—
1750	C₂×C₄	—	236	2	no	—
1751	C₂×C₄	—	236	2	no	—
1752	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1753	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1754	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1755	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1761	C₂×C₄	C₂×#11745687	1	2	yes	—
1762	C₂×C₄	#14273772	1	2	yes	—
1763	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1764	C₈	—	118	1	no	—
1765	C₈	—	118	1	no	—
1766	C₈	—	118	1	no	—
1767	C₈	—	118	1	no	—
1768	C₈	—	118	1	no	—
1769	C₈	—	118	1	no	—
1770	C₈	—	118	1	no	—
1771	C₈	—	118	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	4	4	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	8	2	no	—
1796	C₂²	—	8	4	no	—
1797	C₂²	—	8	4	no	—
1798	C₂²	—	236	1	no	—
1799	C₂²	—	236	1	no	—
1800	C₂²	—	236	1	no	—
1801	C₂²	#16838046	1	2	yes	—
1802	C₂²	#16838200	1	2	yes	—
1803	C₂²	C₂³×C₂²⋊D₅₉	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	236	1	no	—
1818	C₄	—	236	1	no	—
1819	C₄	—	236	1	no	—
1820	C₄	—	236	1	no	—
1821	C₄	—	236	1	no	—
1822	C₄	—	236	1	no	—
1823	C₄	—	236	1	no	—
1824	C₄	#16838046	1	2	yes	—
1825	C₄	C₂²×#11745687	1	1	yes	characteristic
1826	C₄	C₂×#14273772	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	1	no	—
1832	C₂	—	4	2	no	—
1833	C₂	—	8	1	no	—
1834	C₂	—	8	1	no	—
1835	C₂	—	472	1	no	—
1836	C₂	C₂×#16838046	1	1	yes	characteristic
1837	C₂	C₂×#16838200	1	1	yes	characteristic
1838	C₂	#21438867	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₅₉
commutator, cosocle	C₂×C₄×C₅₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅₉
Fitting	D₄×#41×C₅₉	C₂
socle	C₂²×C₅₉	C₂³×D₄
hypercenter	D₄×#41	D₅₉
hypocenter	C₅₉	#61141
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. #21437654	C₂	semidirect
2. #21436282	C₂	semidirect
3. #21436267	C₂	semidirect
4. #21436252	C₂	semidirect
5. #21436237	C₂	semidirect
6. #21436222	C₂	semidirect
7. #21436207	C₂	semidirect
8. #21436192	C₂	semidirect
9. #21436177	C₂	semidirect
10. #21436162	C₂	semidirect
11. #21436147	C₂	semidirect
12. #21436132	C₂	semidirect
13. #21436117	C₂	semidirect
14. #21436102	C₂	semidirect
15. #21436087	C₂	semidirect
16. #21436072	C₂	semidirect
17. #21436057	C₂	semidirect
18. #21434441	C₂	semidirect
19. #21434005	C₂	semidirect
20. #21434005	C₂	semidirect
21. #21433884	C₂	semidirect
22. #21433702	C₂	semidirect
23. #21433674	C₂	semidirect
24. #21433545	C₂	semidirect
25. #21433314	C₂	semidirect
26. #21433314	C₂	semidirect
27. #21432894	C₂	semidirect
28. C₂×#16837474	C₂	semidirect
29. #21432615	C₂	semidirect
30. C₂×#16837398	C₂	semidirect
31. D₄×#41×C₅₉	C₂	semidirect
33. C₂×#14273747	C₂²	semidirect
34. C₂×#14273747	C₂²	semidirect
35. C₂²×#11745664	C₂²	semidirect
36. C₂³×C₅₉⋊C₈	C₂²	semidirect
37. #16838122	C₂²	semidirect
38. #16838117	C₂²	semidirect
39. #16838109	C₂²	semidirect
41. #16838098	C₂²	semidirect
43. #16838092	C₂²	semidirect
47. #16838056	C₂²	semidirect
49. #16837959	C₂²	semidirect
53. #16837913	C₂²	semidirect
54. #16837913	C₂²	semidirect
55. C₄×#11745685	C₂²	semidirect
57. C₂×#14273686	C₂²	semidirect
58. C₂×#14273686	C₂²	semidirect
59. #16837770	C₂²	semidirect
60. #16837770	C₂²	semidirect
61. #16837766	C₂²	semidirect
62. #16837766	C₂²	semidirect
63. #16837761	C₂²	semidirect
64. #16837761	C₂²	semidirect
65. #16837761	C₂²	semidirect
66. #16837761	C₂²	semidirect
67. #16837740	C₂²	semidirect
68. #16837740	C₂²	semidirect
69. #16837740	C₂²	semidirect
70. #16837740	C₂²	semidirect
71. #16837735	C₂²	semidirect
72. #16837735	C₂²	semidirect
73. #16837730	C₂²	semidirect
74. #16837730	C₂²	semidirect
75. #16837723	C₂²	semidirect
76. #16837723	C₂²	semidirect
77. #16837723	C₂²	semidirect
78. #16837723	C₂²	semidirect
79. #16837718	C₂²	semidirect
80. #16837718	C₂²	semidirect
81. #16837713	C₂²	semidirect
82. #16837713	C₂²	semidirect
83. #16837709	C₂²	semidirect
84. #16837709	C₂²	semidirect
85. #16837702	C₂²	semidirect
86. #16837702	C₂²	semidirect
87. #16837697	C₂²	semidirect
88. #16837692	C₂²	semidirect
89. #16837687	C₂²	semidirect
90. #16837682	C₂²	semidirect
91. #16837658	C₂²	semidirect
92. #16837658	C₂²	semidirect
93. #16837653	C₂²	semidirect
94. #16837653	C₂²	semidirect
95. #16837650	C₂²	semidirect
96. #16837650	C₂²	semidirect
97. #16837646	C₂²	semidirect
98. #16837646	C₂²	semidirect
99. #16837641	C₂²	semidirect
100. #16837641	C₂²	semidirect
101. #16837636	C₂²	semidirect
102. #16837636	C₂²	semidirect
103. #16837633	C₂²	semidirect
104. #16837633	C₂²	semidirect
105. #16837629	C₂²	semidirect
106. #16837629	C₂²	semidirect
107. #16837621	C₂²	semidirect
108. #16837621	C₂²	semidirect
109. #16837614	C₂²	semidirect
110. #16837614	C₂²	semidirect
111. #16837609	C₂²	semidirect
112. #16837604	C₂²	semidirect
113. #16837599	C₂²	semidirect
114. #16837594	C₂²	semidirect
115. #16837564	C₂²	semidirect
116. #16837564	C₂²	semidirect
117. #16837564	C₂²	semidirect
118. #16837564	C₂²	semidirect
119. #16837558	C₂²	semidirect
120. #16837558	C₂²	semidirect
121. #16837553	C₂²	semidirect
122. #16837553	C₂²	semidirect
123. #16837547	C₂²	semidirect
124. #16837547	C₂²	semidirect
125. #16837547	C₂²	semidirect
126. #16837547	C₂²	semidirect
127. #16837541	C₂²	semidirect
128. #16837541	C₂²	semidirect
129. #16837536	C₂²	semidirect
130. #16837536	C₂²	semidirect
131. #16837512	C₂²	semidirect
132. #16837512	C₂²	semidirect
133. #16837507	C₂²	semidirect
134. #16837507	C₂²	semidirect
135. #16837502	C₂²	semidirect
136. #16837502	C₂²	semidirect
137. #16837500	C₂²	semidirect
138. #16837500	C₂²	semidirect
141. #16837474	C₂²	semidirect
142. #16837474	C₂²	semidirect
143. #16837474	C₂²	semidirect
144. #16837474	C₂²	semidirect
145. #16837474	C₂²	semidirect
146. #16837474	C₂²	semidirect
147. #16837438	C₂²	semidirect
148. #16837438	C₂²	semidirect
149. #16837438	C₂²	semidirect
150. C₂×C₄⋊(C₅₉⋊C₈)	C₂²	semidirect
151. #16837411	C₂²	semidirect
152. #16837411	C₂²	semidirect
153. #16837407	C₂²	semidirect
154. #16837407	C₂²	semidirect
155. #16837403	C₂²	semidirect
156. #16837403	C₂²	semidirect
157. #16837403	C₂²	semidirect
158. #16837403	C₂²	semidirect
162. #16837398	C₂²	semidirect
163. #16837398	C₂²	semidirect
164. #16837398	C₂²	semidirect
165. #16837398	C₂²	semidirect
166. #16837398	C₂²	semidirect
167. #16837398	C₂²	semidirect
168. #16837398	C₂²	semidirect
169. #16837398	C₂²	semidirect
170. #16837398	C₂²	semidirect
171. #16837398	C₂²	semidirect
172. #16837396	C₂²	semidirect
173. C₂×#14273651	C₂²	semidirect
174. C₂×#14273651	C₂²	semidirect
175. C₂×#14273648	C₂²	semidirect
176. C₂×#14273648	C₂²	semidirect
177. C₂×C₂²⋊(C₅₉⋊C₈)	C₂²	semidirect
178. C₂×C₂²⋊(C₅₉⋊C₈)	C₂²	semidirect
179. C₂×#14273638	C₂²	semidirect
508. #41×C₅₉	#41	semidirect
909. D₄×#41	D₅₉	semidirect
1122. C₅₉	#61141	semidirect
1431. #41	#11745687	semidirect

Maximal subgroups

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

subgroup	index
#21437654	2
#21436282	2
#21436267	2
#21436252	2
#21436237	2
#21436222	2
#21436207	2
#21436192	2
#21436177	2
#21436162	2
#21436147	2
#21436132	2
#21436117	2
#21436102	2
#21436087	2
#21436072	2
#21436057	2
#21434441	2
#21434005	2
#21433884	2
#21433702	2
#21433674	2
#21433545	2
#21433314	2
#21432894	2
C₂×#16837474	2
#21432615	2
C₂×#16837398	2
D₄×#41×C₅₉	2
#61141	59