Subgroups — #29470439

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21437706	C₂	1	1	yes	maximal, characteristic, complemented
2	#21437180	C₂	1	1	yes	maximal, characteristic, complemented
3	#21437050	C₂	1	1	yes	maximal, characteristic, complemented
4	#21436849	C₂	1	1	yes	maximal, characteristic, complemented
5	#21436843	C₂	1	1	yes	maximal, characteristic, complemented
6	#21436696	C₂	1	1	yes	maximal, characteristic, complemented
7	#21436581	C₂	1	1	yes	maximal, characteristic, complemented
8	#21436575	C₂	1	1	yes	maximal, characteristic, complemented
9	#21436297	C₂	1	1	yes	maximal, characteristic, complemented
10	#21436291	C₂	1	1	yes	maximal, characteristic, complemented
11	#21436237	C₂	1	1	yes	maximal, characteristic, complemented
12	#21436231	C₂	1	1	yes	maximal, characteristic, complemented
13	#21436177	C₂	1	1	yes	maximal, characteristic, complemented
14	#21436171	C₂	1	1	yes	maximal, characteristic, complemented
15	#21435703	C₂	1	1	yes	maximal, characteristic, complemented
16	#21435577	C₂	1	1	yes	maximal, characteristic, complemented
17	#21435572	C₂	1	1	yes	maximal, characteristic, complemented
18	#21434692	C₂	1	1	yes	maximal, characteristic, complemented
19	#21434685	C₂	1	1	yes	maximal, characteristic, complemented
20	#21434660	C₂	1	1	yes	maximal, characteristic, complemented
21	#21434143	C₂	1	1	yes	maximal, characteristic, complemented
22	#21434139	C₂	1	1	yes	maximal, characteristic, complemented
23	#21434114	C₂	1	1	yes	maximal, characteristic, complemented
24	#21434108	C₂	1	1	yes	maximal, characteristic, complemented
25	#21434096	C₂	1	1	yes	maximal, characteristic, complemented
26	#21434092	C₂	1	1	yes	maximal, characteristic, complemented
27	#21433063	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#14273753	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#14273752	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#11745669	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#3481	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14273753	C₂²	1	1	yes	characteristic
33	C₂×#14273752	C₂²	1	1	yes	characteristic
34	C₂²×#11745669	C₂²	1	1	yes	characteristic
35	#16838137	C₂²	1	1	yes	characteristic, complemented
36	#16838112	C₂²	1	1	yes	characteristic, complemented
37	#16838109	C₂²	1	1	yes	characteristic, complemented
38	#16838098	C₂²	1	1	yes	characteristic
39	#16838098	C₂²	1	1	yes	characteristic, complemented
40	#16838096	—	2	1	no	—
41	#16838076	—	2	1	no	—
42	#16838076	—	2	1	no	—
43	#16838048	C₂²	1	1	yes	characteristic
44	#16838048	C₂²	1	1	yes	characteristic, complemented
45	#16838040	—	2	1	no	—
46	D₄×D₂₃₆	C₂²	1	1	yes	characteristic, complemented
47	#16837952	C₂²	1	1	yes	characteristic, complemented
48	#16837939	—	2	1	no	—
49	#16837936	C₂²	1	1	yes	characteristic, complemented
50	#16837936	C₂²	1	1	yes	characteristic, complemented
51	#16837911	—	2	1	no	—
52	#16837911	—	2	1	no	—
53	C₄×#11745685	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₂₃₆	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×D₂₃₆	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×D₅₉	—	2	1	no	—
57	#16837812	C₂²	1	1	yes	characteristic, complemented
58	#16837808	C₂²	1	1	yes	characteristic, complemented
59	#16837801	C₂²	1	1	yes	characteristic, complemented
60	#16837792	C₂²	1	1	yes	characteristic, complemented
61	#16837789	C₂²	1	1	yes	characteristic, complemented
62	#16837784	C₂²	1	1	yes	characteristic, complemented
63	#16837768	C₂²	1	1	yes	characteristic, complemented
64	#16837766	C₂²	1	1	yes	characteristic, complemented
65	#16837764	C₂²	1	1	yes	characteristic, complemented
66	#16837761	C₂²	1	1	yes	characteristic, complemented
67	#16837759	C₂²	1	1	yes	characteristic, complemented
68	#16837756	C₂²	1	1	yes	characteristic, complemented
69	#16837743	C₂²	1	1	yes	characteristic, complemented
70	#16837740	C₂²	1	1	yes	characteristic, complemented
71	#16837737	C₂²	1	1	yes	characteristic, complemented
72	#16837735	C₂²	1	1	yes	characteristic, complemented
73	#16837726	C₂²	1	1	yes	characteristic, complemented
74	#16837723	C₂²	1	1	yes	characteristic, complemented
75	#16837720	C₂²	1	1	yes	characteristic, complemented
76	#16837718	C₂²	1	1	yes	characteristic, complemented
77	#16837715	C₂²	1	1	yes	characteristic, complemented
78	#16837715	C₂²	1	1	yes	characteristic, complemented
79	#16837713	C₂²	1	1	yes	characteristic, complemented
80	#16837713	C₂²	1	1	yes	characteristic, complemented
81	#16837709	C₂²	1	1	yes	characteristic, complemented
82	#16837706	C₂²	1	1	yes	characteristic, complemented
83	#16837702	C₂²	1	1	yes	characteristic, complemented
84	#16837702	C₂²	1	1	yes	characteristic, complemented
85	#16837702	C₂²	1	1	yes	characteristic, complemented
86	#16837699	C₂²	1	1	yes	characteristic, complemented
87	#16837699	C₂²	1	1	yes	characteristic, complemented
88	#16837699	C₂²	1	1	yes	characteristic, complemented
89	#16837682	C₂²	1	1	yes	characteristic, complemented
90	#16837682	C₂²	1	1	yes	characteristic, complemented
91	#16837679	C₂²	1	1	yes	characteristic, complemented
92	#16837679	C₂²	1	1	yes	characteristic, complemented
93	#16837653	C₂²	1	1	yes	characteristic, complemented
94	#16837653	C₂²	1	1	yes	characteristic, complemented
95	#16837653	C₂²	1	1	yes	characteristic, complemented
96	#16837653	C₂²	1	1	yes	characteristic, complemented
97	#16837650	C₂²	1	1	yes	characteristic, complemented
98	#16837650	C₂²	1	1	yes	characteristic, complemented
99	#16837646	C₂²	1	1	yes	characteristic, complemented
100	#16837646	C₂²	1	1	yes	characteristic, complemented
101	#16837641	C₂²	1	1	yes	characteristic, complemented
102	#16837636	C₂²	1	1	yes	characteristic
103	#16837633	C₂²	1	1	yes	characteristic, complemented
104	#16837629	C₂²	1	1	yes	characteristic, complemented
105	#16837624	C₂²	1	1	yes	characteristic, complemented
106	#16837621	C₂²	1	1	yes	characteristic, complemented
107	#16837617	C₂²	1	1	yes	characteristic, complemented
108	#16837617	C₂²	1	1	yes	characteristic, complemented
109	#16837617	C₂²	1	1	yes	characteristic, complemented
110	#16837614	C₂²	1	1	yes	characteristic, complemented
111	#16837614	C₂²	1	1	yes	characteristic, complemented
112	#16837614	C₂²	1	1	yes	characteristic, complemented
113	#16837597	C₂²	1	1	yes	characteristic
114	#16837597	C₂²	1	1	yes	characteristic, complemented
115	#16837594	C₂²	1	1	yes	characteristic
116	#16837594	C₂²	1	1	yes	characteristic, complemented
117	#16837564	C₂²	1	1	yes	characteristic, complemented
118	#16837562	C₂²	1	1	yes	characteristic, complemented
119	#16837553	C₂²	1	1	yes	characteristic, complemented
120	#16837552	C₂²	1	1	yes	characteristic, complemented
121	#16837547	C₂²	1	1	yes	characteristic
122	#16837545	C₂²	1	1	yes	characteristic
123	#16837536	C₂²	1	1	yes	characteristic
124	#16837536	C₂²	1	1	yes	characteristic, complemented
125	#16837536	C₂²	1	1	yes	characteristic, complemented
126	#16837535	C₂²	1	1	yes	characteristic
127	#16837535	C₂²	1	1	yes	characteristic, complemented
128	#16837535	C₂²	1	1	yes	characteristic, complemented
129	#16837533	C₂²	1	1	yes	characteristic, complemented
130	#16837533	C₂²	1	1	yes	characteristic, complemented
131	#16837512	C₂²	1	1	yes	characteristic
132	#16837512	C₂²	1	1	yes	characteristic
133	#16837512	C₂²	1	1	yes	characteristic, complemented
134	#16837512	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	C₄×#11745672	C₂²	1	1	yes	characteristic, complemented
140	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
141	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
142	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
145	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
146	C₄×#11745669	C₂²	1	1	yes	characteristic
147	C₄×#11745669	C₂²	1	1	yes	characteristic
148	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
149	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
150	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
151	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
152	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
153	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
157	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11745669	C₂²	1	1	yes	characteristic, complemented
159	#16837480	C₂²	1	1	yes	characteristic, complemented
160	#16837480	C₂²	1	1	yes	characteristic, complemented
161	#16837474	C₂²	1	1	yes	characteristic, complemented
162	#16837474	C₂²	1	1	yes	characteristic, complemented
163	#16837474	C₂²	1	1	yes	characteristic, complemented
164	#16837474	C₂²	1	1	yes	characteristic, complemented
165	#16837455	C₂²	1	1	yes	characteristic, complemented
166	#16837455	C₂²	1	1	yes	characteristic, complemented
167	#16837455	C₂²	1	1	yes	characteristic, complemented
168	#16837445	C₂²	1	1	yes	characteristic, complemented
169	#16837442	C₂²	1	1	yes	characteristic, complemented
170	C₂×#14273660	C₂²	1	1	yes	characteristic, complemented
171	#16837407	C₂²	1	1	yes	characteristic, complemented
172	#16837406	C₂²	1	1	yes	characteristic, complemented
173	#16837403	C₂²	1	1	yes	characteristic, complemented
174	#16837401	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14273648	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14273647	C₂²	1	1	yes	characteristic, complemented
177	C₄×#11745664	C₂²	1	1	yes	characteristic, complemented
178	C₄×#11745664	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×C₅₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	C₅₉×#559	C₂²	1	1	yes	characteristic, complemented
181	C₅₉×#554	C₂²	1	1	yes	characteristic, complemented
182	C₅₉×#554	C₂²	1	1	yes	characteristic, complemented
183	C₅₉×#553	—	2	1	no	—
184	C₅₉×#553	C₂²	1	1	yes	characteristic
185	C₅₉×#553	C₂²	1	1	yes	characteristic, complemented
186	C₅₉×#551	—	2	1	no	—
187	C₅₉×#551	—	2	1	no	—
188	C₅₉×#546	—	2	1	no	—
189	C₅₉×#546	C₂²	1	1	yes	characteristic
190	C₅₉×#546	C₂²	1	1	yes	characteristic, complemented
191	D₄²×C₅₉	C₂²	1	1	yes	characteristic, complemented
192	C₅₉×#532	C₂²	1	1	yes	characteristic, complemented
193	C₅₉×#529	—	2	1	no	—
194	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
195	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
196	C₅₉×#525	—	2	1	no	—
197	C₅₉×#525	—	2	1	no	—
198	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
199	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄×D₄×C₅₉	—	2	1	no	—
201	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11745685	—	2	1	no	—
204	C₂×#11745685	C₂³	1	1	yes	characteristic
205	C₂²×D₂₃₆	C₂³	1	1	yes	characteristic
206	C₂²×D₂₃₆	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅₉	—	2	1	no	—
208	C₂²×C₄×D₅₉	—	2	1	no	—
209	C₂²×C₄×D₅₉	—	2	1	no	—
210	#14273753	—	2	4	no	—
211	#14273752	—	2	4	no	—
212	C₂×#11745672	C₂³	1	1	yes	characteristic
213	C₂×#11745670	C₂³	1	1	yes	characteristic
214	C₂×#11745670	C₂³	1	1	yes	characteristic
215	C₂×#11745670	C₂³	1	1	yes	characteristic
216	C₂×#11745671	C₂³	1	1	yes	characteristic
217	C₂×#11745671	C₂³	1	1	yes	characteristic
218	C₂×#11745671	C₂³	1	1	yes	characteristic
219	C₂×#11745669	—	2	4	no	—
220	C₂×#11745669	C₂³	1	1	yes	characteristic
221	C₂×#11745669	C₂³	1	1	yes	characteristic
222	C₂×#11745669	C₂³	1	1	yes	characteristic
223	C₂×#11745669	C₂³	1	1	yes	characteristic
224	C₂×#11745669	C₂³	1	1	yes	characteristic
225	C₂×#11745669	C₂³	1	1	yes	characteristic
226	C₂×#11745669	C₂³	1	1	yes	characteristic
227	C₂×#11745669	C₂³	1	1	yes	characteristic
228	C₂×#11745669	C₂³	1	1	yes	characteristic
229	C₂×#11745664	C₂³	1	1	yes	characteristic
230	C₂×#11745664	C₂³	1	1	yes	characteristic
231	C₂×#11745664	C₂³	1	1	yes	characteristic
232	C₂×#11745664	C₂³	1	1	yes	characteristic
233	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
234	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
235	#14273727	C₂³	1	1	yes	characteristic
236	#14273724	C₂³	1	1	yes	characteristic
237	#14273722	—	2	1	no	—
238	#14273722	—	2	1	no	—
239	#14273721	—	2	1	no	—
240	#14273721	—	2	1	no	—
241	#14273719	C₂³	1	1	yes	characteristic
242	#14273719	C₂³	1	1	yes	characteristic
243	#14273718	—	2	1	no	—
244	#14273716	—	2	1	no	—
245	#14273715	—	2	1	no	—
246	#14273715	C₂³	1	1	yes	characteristic
247	#14273715	C₂³	1	1	yes	characteristic
248	#14273712	—	2	1	no	—
249	#14273712	—	2	1	no	—
250	#14273712	—	2	1	no	—
251	#14273712	—	2	1	no	—
252	#14273710	—	2	1	no	—
253	#14273710	—	2	1	no	—
254	#14273709	—	2	1	no	—
255	#14273709	—	2	1	no	—
256	#14273706	C₂³	1	1	yes	characteristic
257	#14273706	C₂³	1	1	yes	characteristic
258	#14273705	—	2	1	no	—
259	#14273705	—	2	1	no	—
260	#14273704	—	2	1	no	—
261	#14273704	—	2	1	no	—
262	#14273703	—	2	1	no	—
263	#14273702	—	2	1	no	—
264	#14273701	—	2	1	no	—
265	#14273701	C₂³	1	1	yes	characteristic
266	#14273701	C₂³	1	1	yes	characteristic
267	#14273701	C₂³	1	1	yes	characteristic
268	#14273701	C₂³	1	1	yes	characteristic
269	#14273700	—	2	1	no	—
270	#14273700	—	2	1	no	—
271	#14273699	—	2	1	no	—
272	#14273699	—	2	1	no	—
273	#14273697	—	2	1	no	—
274	#14273697	—	2	1	no	—
275	#14273695	—	2	1	no	—
276	#14273695	—	2	1	no	—
277	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
278	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
279	C₄×D₂₃₆	—	2	1	no	—
280	C₄×D₂₃₆	—	2	1	no	—
281	C₄×D₂₃₆	—	2	1	no	—
282	C₄×D₂₃₆	—	2	1	no	—
283	C₄×D₂₃₆	—	2	1	no	—
284	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
285	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
286	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
287	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
288	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
289	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
290	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
291	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
292	D₄×Dic₅₉	—	2	1	no	—
293	#14273689	—	2	1	no	—
294	C₄×C₂²⋊D₅₉	—	2	1	no	—
295	C₄×C₂²⋊D₅₉	—	2	1	no	—
296	C₄×C₂²⋊D₅₉	—	2	1	no	—
297	C₄×C₂²⋊D₅₉	—	2	1	no	—
298	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
299	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
300	#14273686	C₂³	1	1	yes	characteristic
301	#14273684	—	2	1	no	—
302	#14273684	—	2	1	no	—
303	#14273684	—	2	1	no	—
304	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
306	C₄⋊C₄×D₅₉	—	2	1	no	—
307	C₂×(C₂×D₅₉)⋊C₄	—	2	1	no	—
308	C₂×(C₂×D₅₉)⋊C₄	—	2	1	no	—
309	C₂²⋊C₄×D₅₉	—	2	1	no	—
310	C₂²⋊C₄×D₅₉	—	2	1	no	—
311	C₄²×D₅₉	—	2	1	no	—
312	#14273660	C₂³	1	1	yes	characteristic
313	#14273660	C₂³	1	1	yes	characteristic
314	#14273660	C₂³	1	1	yes	characteristic
315	#14273660	C₂³	1	1	yes	characteristic
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	C₄⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₅₉⋊C₈)	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	#14273650	C₂³	1	1	yes	characteristic
339	#14273650	C₂³	1	1	yes	characteristic
340	#14273650	C₂³	1	1	yes	characteristic
341	#14273650	C₂³	1	1	yes	characteristic
342	#14273648	C₂³	1	1	yes	characteristic
343	#14273648	C₂³	1	1	yes	characteristic
344	#14273648	C₂³	1	1	yes	characteristic
345	#14273648	C₂³	1	1	yes	characteristic
346	#14273648	C₂³	1	1	yes	characteristic
347	#14273648	C₂³	1	1	yes	characteristic
348	#14273648	C₂³	1	1	yes	characteristic
349	#14273648	C₂³	1	1	yes	characteristic
350	#14273648	C₂³	1	1	yes	characteristic
351	#14273648	C₂³	1	1	yes	characteristic
352	#14273648	C₂³	1	1	yes	characteristic
353	#14273648	C₂³	1	1	yes	characteristic
354	#14273647	C₂³	1	1	yes	characteristic
355	#14273647	C₂³	1	1	yes	characteristic
356	#14273647	C₂³	1	1	yes	characteristic
357	#14273647	C₂³	1	1	yes	characteristic
358	#14273647	C₂³	1	1	yes	characteristic
359	#14273647	C₂³	1	1	yes	characteristic
360	#14273647	C₂³	1	1	yes	characteristic
361	#14273647	C₂³	1	1	yes	characteristic
362	#14273647	C₂³	1	1	yes	characteristic
363	#14273647	C₂³	1	1	yes	characteristic
364	#14273647	C₂³	1	1	yes	characteristic
365	#14273647	C₂³	1	1	yes	characteristic
366	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
367	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
368	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
369	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
370	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
371	C₂²⋊(C₅₉⋊C₈)	C₂³	1	1	yes	characteristic
372	#14273638	C₂³	1	1	yes	characteristic
373	#14273638	C₂³	1	1	yes	characteristic
374	#14273638	C₂³	1	1	yes	characteristic
375	#14273638	C₂³	1	1	yes	characteristic
376	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
377	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
378	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
379	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
380	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
381	C₄×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
382	C₂×#41×C₅₉	—	2	1	no	—
383	C₂×#41×C₅₉	D₄	1	1	yes	characteristic
384	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
385	C₂²×D₄×C₅₉	—	2	1	no	—
386	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
387	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
388	C₂³×C₄×C₅₉	—	2	1	no	—
389	C₂³×C₄×C₅₉	—	2	1	no	—
390	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
391	#127×C₅₉	C₂³	1	1	yes	characteristic
392	#126×C₅₉	—	2	1	no	—
393	#126×C₅₉	—	2	1	no	—
394	#126×C₅₉	—	2	1	no	—
395	#126×C₅₉	—	2	1	no	—
396	#125×C₅₉	—	2	1	no	—
397	#125×C₅₉	C₂³	1	1	yes	characteristic
398	#125×C₅₉	C₂³	1	1	yes	characteristic
399	#124×C₅₉	—	2	1	no	—
400	#124×C₅₉	—	2	1	no	—
401	#124×C₅₉	C₂³	1	1	yes	characteristic
402	#124×C₅₉	C₂³	1	1	yes	characteristic
403	#123×C₅₉	—	2	1	no	—
404	#123×C₅₉	—	2	1	no	—
405	#123×C₅₉	—	2	1	no	—
406	#123×C₅₉	—	2	1	no	—
407	#123×C₅₉	—	2	1	no	—
408	#123×C₅₉	—	2	1	no	—
409	#123×C₅₉	—	2	1	no	—
410	#123×C₅₉	—	2	1	no	—
411	C₂²⋊Q₈×C₅₉	—	2	1	no	—
412	C₂²⋊Q₈×C₅₉	—	2	1	no	—
413	C₂²⋊Q₈×C₅₉	—	2	1	no	—
414	C₂²⋊Q₈×C₅₉	—	2	1	no	—
415	C₂²⋊Q₈×C₅₉	—	2	1	no	—
416	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
417	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
418	#121×C₅₉	—	2	1	no	—
419	#121×C₅₉	—	2	1	no	—
420	#121×C₅₉	—	2	1	no	—
421	#121×C₅₉	—	2	1	no	—
422	#121×C₅₉	—	2	1	no	—
423	#121×C₅₉	—	2	1	no	—
424	#121×C₅₉	C₂³	1	1	yes	characteristic
425	#121×C₅₉	C₂³	1	1	yes	characteristic
426	#121×C₅₉	C₂³	1	1	yes	characteristic
427	#121×C₅₉	C₂³	1	1	yes	characteristic
428	#120×C₅₉	—	2	1	no	—
429	#120×C₅₉	—	2	1	no	—
430	#120×C₅₉	—	2	1	no	—
431	#120×C₅₉	—	2	1	no	—
432	C₄×Q₈×C₅₉	D₄	1	1	yes	characteristic
433	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
434	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
435	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
436	C₄×D₄×C₅₉	—	2	1	no	—
437	C₄×D₄×C₅₉	—	2	1	no	—
438	C₄×D₄×C₅₉	—	2	1	no	—
439	C₄×D₄×C₅₉	—	2	1	no	—
440	C₄×D₄×C₅₉	—	2	1	no	—
441	C₄×D₄×C₅₉	—	2	1	no	—
442	C₄×D₄×C₅₉	—	2	1	no	—
443	C₄×D₄×C₅₉	—	2	1	no	—
444	C₄×D₄×C₅₉	—	2	1	no	—
445	C₄×D₄×C₅₉	—	2	1	no	—
446	C₄×D₄×C₅₉	—	2	1	no	—
447	C₄×D₄×C₅₉	—	2	1	no	—
448	C₄×D₄×C₅₉	—	2	1	no	—
449	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
450	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
451	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
452	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
453	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
454	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
463	#117×C₅₉	—	2	1	no	—
464	#117×C₅₉	—	2	1	no	—
465	#117×C₅₉	—	2	1	no	—
466	#117×C₅₉	D₄	1	1	yes	characteristic
467	#117×C₅₉	D₄	1	1	yes	characteristic
468	#117×C₅₉	D₄	1	1	yes	characteristic
469	#117×C₅₉	C₂³	1	1	yes	characteristic
470	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
471	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
472	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
473	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
474	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
475	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
476	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
477	C₂×C₄²×C₅₉	—	2	1	no	—
478	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
479	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
480	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
481	C₂⁴×C₅₉	—	2	1	no	—
482	C₂⁴×C₅₉	—	2	1	no	—
483	C₂³×D₅₉	—	2	1	no	—
484	C₂³×D₅₉	—	2	1	no	—
485	#41×C₅₉	—	2	2	no	—
486	#41×C₅₉	—	4	2	no	—
487	#41×C₅₉	—	4	1	no	—
488	#41×C₅₉	—	8	2	no	—
489	C₂×Q₈×C₅₉	—	2	1	no	—
490	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₅₉	—	2	2	no	—
493	C₂×D₄×C₅₉	—	2	2	no	—
494	C₂×D₄×C₅₉	—	2	1	no	—
495	C₂×D₄×C₅₉	—	2	1	no	—
496	C₂×D₄×C₅₉	—	2	1	no	—
497	C₂×D₄×C₅₉	—	2	1	no	—
498	C₂×D₄×C₅₉	—	2	1	no	—
499	C₂×D₄×C₅₉	—	2	1	no	—
500	C₂×D₄×C₅₉	—	2	1	no	—
501	C₂×D₄×C₅₉	—	2	1	no	—
502	C₂×D₄×C₅₉	—	2	1	no	—
503	C₂×D₄×C₅₉	—	4	1	no	—
504	C₂×D₄×C₅₉	—	4	1	no	—
505	C₂×D₄×C₅₉	—	4	4	no	—
506	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₅₉	—	2	1	no	—
513	C₂²×C₄×C₅₉	—	2	1	no	—
514	C₂²×C₄×C₅₉	—	2	1	no	—
515	C₂²×C₄×C₅₉	—	2	1	no	—
516	C₂²×C₄×C₅₉	—	2	1	no	—
517	C₂²×C₄×C₅₉	—	2	1	no	—
518	C₂²×C₄×C₅₉	—	2	1	no	—
519	C₂²×C₄×C₅₉	—	2	1	no	—
520	C₂²×C₄×C₅₉	—	2	1	no	—
521	C₂²×C₄×C₅₉	—	2	1	no	—
522	C₂²×C₄×C₅₉	—	2	1	no	—
523	C₂²×C₄×C₅₉	—	8	2	no	—
524	C₂²×C₄×C₅₉	—	8	2	no	—
525	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₅₉	—	2	1	no	—
535	C₂×C₂²⋊D₅₉	—	2	1	no	—
536	C₂×C₂²⋊D₅₉	—	2	1	no	—
537	C₂×C₂²⋊D₅₉	—	2	1	no	—
538	C₂×C₂²⋊D₅₉	—	2	1	no	—
539	C₂²×Dic₅₉	—	2	1	no	—
540	C₂²×Dic₅₉	—	2	1	no	—
541	D₄×D₅₉	—	4	4	no	—
542	#11745685	—	2	2	no	—
543	#11745685	—	4	1	no	—
544	#11745685	—	8	2	no	—
545	C₂×D₂₃₆	—	2	2	no	—
546	C₂×D₂₃₆	—	2	2	no	—
547	C₂×D₂₃₆	—	2	1	no	—
548	C₂×D₂₃₆	—	2	1	no	—
549	C₂×D₂₃₆	—	2	1	no	—
550	C₂×D₂₃₆	—	2	1	no	—
551	C₂×D₂₃₆	—	4	1	no	—
552	C₂×D₂₃₆	—	4	1	no	—
553	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
554	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅₉	—	2	1	no	—
557	C₂×C₄×D₅₉	—	2	1	no	—
558	C₂×C₄×D₅₉	—	2	1	no	—
559	C₂×C₄×D₅₉	—	2	1	no	—
560	C₂×C₄×D₅₉	—	2	1	no	—
561	C₂×C₄×D₅₉	—	2	1	no	—
562	C₂×C₄×D₅₉	—	2	1	no	—
563	C₂×C₄×D₅₉	—	2	1	no	—
564	C₂×C₄×D₅₉	—	2	1	no	—
565	C₂×C₄×D₅₉	—	8	2	no	—
566	C₂×C₄×D₅₉	—	8	2	no	—
567	C₂×Dic₁₁₈	—	2	1	no	—
568	C₂×Dic₁₁₈	C₂⁴	1	1	yes	characteristic
569	C₄⋊C₄×C₅₉	—	2	1	no	—
570	C₄⋊C₄×C₅₉	—	2	1	no	—
571	C₄⋊C₄×C₅₉	—	2	1	no	—
572	C₄⋊C₄×C₅₉	—	2	1	no	—
573	C₄⋊C₄×C₅₉	—	2	1	no	—
574	C₄⋊C₄×C₅₉	—	2	1	no	—
575	C₄⋊C₄×C₅₉	—	2	1	no	—
576	C₄⋊C₄×C₅₉	—	2	1	no	—
577	C₄⋊C₄×C₅₉	—	2	1	no	—
578	C₄⋊C₄×C₅₉	—	2	1	no	—
579	C₄⋊C₄×C₅₉	—	2	1	no	—
580	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
581	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
582	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
583	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
584	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
585	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
586	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
587	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
588	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
589	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
590	C₂²⋊C₄×C₅₉	—	2	1	no	—
591	C₂²⋊C₄×C₅₉	—	2	1	no	—
592	C₂²⋊C₄×C₅₉	—	2	1	no	—
593	C₂²⋊C₄×C₅₉	—	2	1	no	—
594	C₂²⋊C₄×C₅₉	—	2	1	no	—
595	C₂²⋊C₄×C₅₉	—	2	1	no	—
596	C₂²⋊C₄×C₅₉	—	2	1	no	—
597	C₂²⋊C₄×C₅₉	—	2	1	no	—
598	C₂²⋊C₄×C₅₉	—	2	1	no	—
599	C₂²⋊C₄×C₅₉	—	2	1	no	—
600	C₂²⋊C₄×C₅₉	—	2	1	no	—
601	C₂²⋊C₄×C₅₉	—	2	1	no	—
602	C₂²⋊C₄×C₅₉	—	2	1	no	—
603	C₂²⋊C₄×C₅₉	—	2	1	no	—
604	C₂²⋊C₄×C₅₉	—	2	1	no	—
605	C₂²⋊C₄×C₅₉	—	2	1	no	—
606	C₂²⋊C₄×C₅₉	—	2	1	no	—
607	C₂²⋊C₄×C₅₉	—	2	1	no	—
608	C₂²⋊C₄×C₅₉	—	2	1	no	—
609	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
611	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
612	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₅₉	—	2	1	no	—
616	C₄²×C₅₉	—	2	1	no	—
617	C₄²×C₅₉	—	2	1	no	—
618	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
619	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
622	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
623	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
624	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
625	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
626	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
627	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
628	C₂²⋊Dic₅₉	—	2	1	no	—
629	C₂²⋊Dic₅₉	—	2	1	no	—
630	C₂²⋊Dic₅₉	—	2	1	no	—
631	#11745672	—	4	1	no	—
632	#11745671	—	2	2	no	—
633	#11745671	—	2	2	no	—
634	#11745671	—	4	1	no	—
635	#11745670	—	2	2	no	—
636	#11745670	—	2	2	no	—
637	#11745670	—	4	1	no	—
638	#11745669	—	2	2	no	—
639	#11745669	—	2	2	no	—
640	#11745669	—	2	2	no	—
641	#11745669	—	2	2	no	—
642	#11745669	—	2	2	no	—
643	#11745669	—	4	1	no	—
644	#11745669	—	4	1	no	—
645	#11745669	—	4	1	no	—
646	#11745669	#41	1	4	yes	complemented
647	(C₂×D₅₉)⋊C₄	—	2	1	no	—
648	(C₂×D₅₉)⋊C₄	—	2	1	no	—
649	(C₂×D₅₉)⋊C₄	—	2	1	no	—
650	(C₂×D₅₉)⋊C₄	—	2	1	no	—
651	(C₂×D₅₉)⋊C₄	—	2	1	no	—
652	(C₂×D₅₉)⋊C₄	—	2	1	no	—
653	(C₂×D₅₉)⋊C₄	—	2	1	no	—
654	(C₂×D₅₉)⋊C₄	—	2	1	no	—
655	(C₂×D₅₉)⋊C₄	—	2	1	no	—
656	(C₂×D₅₉)⋊C₄	—	2	1	no	—
657	(C₂×D₅₉)⋊C₄	—	2	1	no	—
658	(C₂×D₅₉)⋊C₄	—	2	1	no	—
659	(C₂×D₅₉)⋊C₄	—	2	1	no	—
660	(C₂×D₅₉)⋊C₄	—	2	1	no	—
661	(C₂×D₅₉)⋊C₄	—	2	1	no	—
662	(C₂×D₅₉)⋊C₄	—	2	1	no	—
663	C₄⋊Dic₅₉	—	2	1	no	—
664	C₄⋊Dic₅₉	—	2	1	no	—
665	C₄⋊Dic₅₉	—	2	1	no	—
666	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
670	Dic₅₉⋊C₄	—	2	1	no	—
671	Dic₅₉⋊C₄	—	2	1	no	—
672	Dic₅₉⋊C₄	—	2	1	no	—
673	Dic₅₉⋊C₄	—	2	1	no	—
674	Dic₅₉⋊C₄	—	2	1	no	—
675	Dic₅₉⋊C₄	—	2	1	no	—
676	Dic₅₉⋊C₄	—	2	1	no	—
677	Dic₅₉⋊C₄	—	2	1	no	—
678	C₄×Dic₅₉	—	2	1	no	—
679	C₄×Dic₅₉	—	2	1	no	—
680	C₄×Dic₅₉	—	2	1	no	—
681	#11745664	—	2	2	no	—
682	#11745664	—	2	2	no	—
683	#11745664	—	4	1	no	—
684	#11745664	—	4	1	no	—
685	C₂×C₅₉⋊C₈	—	2	2	no	—
686	C₂×C₅₉⋊C₈	—	4	1	no	—
687	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
688	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
689	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
694	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
695	C₂³×C₅₉	—	2	1	no	—
696	C₂³×C₅₉	—	2	1	no	—
697	C₂³×C₅₉	—	2	1	no	—
698	C₂³×C₅₉	—	4	2	no	—
699	C₂³×C₅₉	—	4	2	no	—
700	C₂³×C₅₉	—	4	2	no	—
701	C₂³×C₅₉	—	4	2	no	—
702	C₂³×C₅₉	—	8	1	no	—
703	C₂³×C₅₉	—	8	1	no	—
704	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
705	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
706	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
707	C₂²×D₅₉	—	2	1	no	—
708	C₂²×D₅₉	—	2	1	no	—
709	C₂²×D₅₉	—	2	1	no	—
710	C₂²×D₅₉	—	4	2	no	—
711	C₂²×D₅₉	—	4	2	no	—
712	C₂²×D₅₉	—	4	2	no	—
713	C₂²×D₅₉	—	4	2	no	—
714	C₂²×D₅₉	—	8	1	no	—
715	C₂²×D₅₉	—	8	1	no	—
716	Q₈×C₅₉	—	2	1	no	—
717	Q₈×C₅₉	—	2	1	no	—
718	Q₈×C₅₉	—	4	1	no	—
719	Q₈×C₅₉	—	8	1	no	—
720	D₄×C₅₉	—	2	2	no	—
721	D₄×C₅₉	—	2	2	no	—
722	D₄×C₅₉	—	2	1	no	—
723	D₄×C₅₉	—	2	1	no	—
724	D₄×C₅₉	—	2	1	no	—
725	D₄×C₅₉	—	2	1	no	—
726	D₄×C₅₉	—	2	1	no	—
727	D₄×C₅₉	—	4	1	no	—
728	D₄×C₅₉	—	4	2	no	—
729	D₄×C₅₉	—	4	2	no	—
730	D₄×C₅₉	—	4	2	no	—
731	D₄×C₅₉	—	4	2	no	—
732	D₄×C₅₉	—	4	2	no	—
733	D₄×C₅₉	—	4	2	no	—
734	D₄×C₅₉	—	8	1	no	—
735	D₄×C₅₉	—	8	1	no	—
736	D₄×C₅₉	—	8	1	no	—
737	D₄×C₅₉	C₂×#41	1	2	yes	—
738	C₂×C₄×C₅₉	—	2	2	no	—
739	C₂×C₄×C₅₉	—	2	2	no	—
740	C₂×C₄×C₅₉	—	2	2	no	—
741	C₂×C₄×C₅₉	—	2	2	no	—
742	C₂×C₄×C₅₉	—	2	1	no	—
743	C₂×C₄×C₅₉	—	2	1	no	—
744	C₂×C₄×C₅₉	—	2	1	no	—
745	C₂×C₄×C₅₉	—	2	1	no	—
746	C₂×C₄×C₅₉	—	2	1	no	—
747	C₂×C₄×C₅₉	—	2	1	no	—
748	C₂×C₄×C₅₉	—	2	1	no	—
749	C₂×C₄×C₅₉	—	2	1	no	—
750	C₂×C₄×C₅₉	—	2	1	no	—
751	C₂×C₄×C₅₉	—	2	1	no	—
752	C₂×C₄×C₅₉	—	2	1	no	—
753	C₂×C₄×C₅₉	—	4	1	no	—
754	C₂×C₄×C₅₉	—	4	1	no	—
755	C₂×C₄×C₅₉	—	4	2	no	—
756	C₂×C₄×C₅₉	—	4	2	no	—
757	C₂×C₄×C₅₉	—	4	2	no	—
758	C₂×C₄×C₅₉	—	4	2	no	—
759	C₂×C₄×C₅₉	—	4	2	no	—
760	C₂×C₄×C₅₉	—	8	1	no	—
761	C₂×C₄×C₅₉	—	8	1	no	—
762	C₂×C₄×C₅₉	—	8	1	no	—
763	C₂×C₄×C₅₉	—	8	1	no	—
764	C₂×C₄×C₅₉	—	8	1	no	—
765	C₂×C₄×C₅₉	—	8	1	no	—
766	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
778	C₂²⋊D₅₉	—	4	2	no	—
779	C₂²⋊D₅₉	—	4	2	no	—
780	C₂²⋊D₅₉	—	4	2	no	—
781	C₂²⋊D₅₉	—	8	1	no	—
782	C₂²⋊D₅₉	—	8	1	no	—
783	C₂×Dic₅₉	—	2	1	no	—
784	C₂×Dic₅₉	—	2	1	no	—
785	C₂×Dic₅₉	—	2	1	no	—
786	C₂×Dic₅₉	—	2	1	no	—
787	C₂×Dic₅₉	—	2	1	no	—
788	C₂×Dic₅₉	—	8	1	no	—
789	C₂×Dic₅₉	—	8	1	no	—
790	D₂₃₆	—	2	1	no	—
791	D₂₃₆	—	2	1	no	—
792	D₂₃₆	—	2	1	no	—
793	D₂₃₆	—	2	1	no	—
794	D₂₃₆	—	2	1	no	—
795	D₂₃₆	—	4	2	no	—
796	D₂₃₆	—	4	2	no	—
797	D₂₃₆	—	4	2	no	—
798	D₂₃₆	—	8	1	no	—
799	D₂₃₆	C₂×#41	1	2	yes	—
800	C₄×D₅₉	—	4	2	no	—
801	C₄×D₅₉	—	4	2	no	—
802	C₄×D₅₉	—	4	2	no	—
803	C₄×D₅₉	—	4	2	no	—
804	C₄×D₅₉	—	4	2	no	—
805	C₄×D₅₉	—	8	1	no	—
806	C₄×D₅₉	—	8	1	no	—
807	C₄×D₅₉	—	8	1	no	—
808	C₄×D₅₉	—	8	1	no	—
809	Dic₁₁₈	—	2	1	no	—
810	Dic₁₁₈	—	2	1	no	—
811	Dic₁₁₈	—	8	1	no	—
812	C₅₉⋊C₈	—	2	1	no	—
813	C₅₉⋊C₈	—	2	1	no	—
814	C₅₉⋊C₈	—	2	1	no	—
815	C₅₉⋊C₈	—	2	1	no	—
816	C₅₉⋊C₈	—	2	1	no	—
817	C₅₉⋊C₈	—	2	1	no	—
818	C₅₉⋊C₈	—	2	1	no	—
819	C₅₉⋊C₈	C₂×#41	1	2	yes	—
820	#61444	—	59	1	no	maximal, Sylow
821	C₂²×C₅₉	—	2	1	no	—
822	C₂²×C₅₉	—	2	1	no	—
823	C₂²×C₅₉	—	2	1	no	—
824	C₂²×C₅₉	—	2	1	no	—
825	C₂²×C₅₉	—	2	2	no	—
826	C₂²×C₅₉	—	2	1	no	—
827	C₂²×C₅₉	—	2	1	no	—
828	C₂²×C₅₉	—	2	1	no	—
829	C₂²×C₅₉	—	2	1	no	—
830	C₂²×C₅₉	—	4	1	no	—
831	C₂²×C₅₉	—	4	1	no	—
832	C₂²×C₅₉	—	4	1	no	—
833	C₂²×C₅₉	—	4	1	no	—
834	C₂²×C₅₉	—	4	1	no	—
835	C₂²×C₅₉	—	4	1	no	—
836	C₂²×C₅₉	—	4	1	no	—
837	C₂²×C₅₉	—	4	1	no	—
838	C₂²×C₅₉	—	8	4	no	—
839	C₂²×C₅₉	—	8	4	no	—
840	C₂²×C₅₉	#575	1	2	yes	—
841	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
842	C₂×D₅₉	—	2	2	no	—
843	C₂×D₅₉	—	4	1	no	—
844	C₂×D₅₉	—	4	1	no	—
845	C₂×D₅₉	—	4	1	no	—
846	C₂×D₅₉	—	4	1	no	—
847	C₂×D₅₉	—	4	1	no	—
848	C₂×D₅₉	—	4	1	no	—
849	C₂×D₅₉	—	4	1	no	—
850	C₂×D₅₉	—	4	1	no	—
851	C₂×D₅₉	—	8	4	no	—
852	C₂×D₅₉	—	8	4	no	—
853	C₄×C₅₉	—	2	1	no	—
854	C₄×C₅₉	—	2	1	no	—
855	C₄×C₅₉	—	2	1	no	—
856	C₄×C₅₉	—	2	1	no	—
857	C₄×C₅₉	—	2	1	no	—
858	C₄×C₅₉	—	2	1	no	—
859	C₄×C₅₉	—	2	1	no	—
860	C₄×C₅₉	—	2	1	no	—
861	C₄×C₅₉	—	2	1	no	—
862	C₄×C₅₉	—	2	1	no	—
863	C₄×C₅₉	—	4	1	no	—
864	C₄×C₅₉	—	4	1	no	—
865	C₄×C₅₉	—	4	1	no	—
866	C₄×C₅₉	—	4	1	no	—
867	C₄×C₅₉	—	4	1	no	—
868	C₄×C₅₉	#576	1	2	yes	—
869	C₄×C₅₉	C₂²×#41	1	1	yes	characteristic
870	C₄×C₅₉	#585	1	1	yes	characteristic
871	Dic₅₉	—	4	1	no	—
872	Dic₅₉	—	4	1	no	—
873	Dic₅₉	—	4	1	no	—
874	Dic₅₉	—	4	1	no	—
875	Dic₅₉	—	4	1	no	—
876	#3481	—	59	1	no	—
877	#3481	D₅₉	1	1	yes	characteristic, complemented
878	#3403	—	59	1	no	—
879	#3389	—	59	1	no	—
880	#3370	—	59	1	no	—
881	#3370	—	59	1	no	—
882	#3355	—	59	1	no	—
883	#3346	—	59	1	no	—
884	#3346	—	59	1	no	—
885	#3322	—	59	1	no	—
886	#3322	—	59	1	no	—
887	#3318	—	59	1	no	—
888	#3318	—	59	1	no	—
889	#3314	—	59	1	no	—
890	#3314	—	59	1	no	—
891	#3273	—	59	1	no	—
892	#3264	—	59	1	no	—
893	#3264	—	59	1	no	—
894	#3171	—	59	1	no	—
895	#3171	—	59	1	no	—
896	#3168	—	59	1	no	—
897	#3105	—	59	1	no	—
898	#3105	—	59	1	no	—
899	#3102	—	59	1	no	—
900	#3102	—	59	1	no	—
901	#3100	—	59	1	no	—
902	#3100	—	59	1	no	—
903	#2965	—	59	1	no	—
904	C₄×AGL(1,ℤ/8)	—	59	1	no	—
905	C₄×AGL(1,ℤ/8)	—	59	1	no	—
906	C₂×C₄×D₈	—	59	1	no	—
907	C₂×C₅₉	—	2	2	no	—
908	C₂×C₅₉	—	4	1	no	—
909	C₂×C₅₉	—	4	1	no	—
910	C₂×C₅₉	—	4	2	no	—
911	C₂×C₅₉	—	8	1	no	—
912	C₂×C₅₉	—	8	1	no	—
913	C₂×C₅₉	D₄×#41	1	1	yes	characteristic
914	C₂×C₅₉	C₂×#575	1	1	yes	characteristic
915	C₂×C₅₉	C₂×#576	1	1	yes	characteristic
916	D₅₉	—	4	2	no	—
917	D₅₉	—	8	1	no	—
918	D₅₉	—	8	1	no	—
919	C₂×AGL(1,ℤ/8)	—	59	1	no	—
920	C₂×AGL(1,ℤ/8)	—	59	1	no	—
921	C₂²×D₈	—	59	1	no	—
922	#559	—	59	1	no	—
923	#559	C₂×D₅₉	1	1	yes	characteristic, complemented
924	#554	—	59	1	no	—
925	#554	—	59	1	no	—
926	#554	C₂×D₅₉	1	1	yes	characteristic, complemented
927	#554	C₂×D₅₉	1	1	yes	characteristic, complemented
928	#553	—	2	1	no	—
929	#553	—	59	1	no	—
930	#553	—	59	1	no	—
931	#553	—	118	1	no	—
932	#553	C₂×D₅₉	1	1	yes	characteristic
933	#553	C₂×D₅₉	1	1	yes	characteristic, complemented
934	#551	—	2	1	no	—
935	#551	—	2	1	no	—
936	#551	—	118	1	no	—
937	#551	—	118	1	no	—
938	#546	—	2	1	no	—
939	#546	—	59	1	no	—
940	#546	—	59	1	no	—
941	#546	—	118	1	no	—
942	#546	C₂×D₅₉	1	1	yes	characteristic
943	#546	C₂×D₅₉	1	1	yes	characteristic, complemented
944	D₄²	—	59	1	no	—
945	D₄²	C₂×D₅₉	1	1	yes	characteristic, complemented
946	#532	—	59	1	no	—
947	#532	C₂×D₅₉	1	1	yes	characteristic, complemented
948	#529	—	2	1	no	—
949	#529	—	59	1	no	—
950	#529	—	59	1	no	—
951	#529	—	118	1	no	—
952	#529	C₂×D₅₉	1	1	yes	characteristic, complemented
953	#529	C₂×D₅₉	1	1	yes	characteristic, complemented
954	#525	—	2	1	no	—
955	#525	—	2	1	no	—
956	#525	—	118	1	no	—
957	#525	—	118	1	no	—
958	C₄×#41	—	59	1	no	—
959	C₄×#41	C₂×D₅₉	1	1	yes	characteristic
960	C₄×#41	C₂×D₅₉	1	1	yes	characteristic, complemented
961	C₂×C₄×D₄	—	2	1	no	—
962	C₂×C₄×D₄	—	59	1	no	—
963	C₂×C₄×D₄	—	59	1	no	—
964	C₂×C₄×D₄	—	118	1	no	—
965	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic, complemented
966	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic, complemented
967	#501	—	59	1	no	—
968	#501	—	59	1	no	—
969	#499	—	59	1	no	—
970	#496	—	59	1	no	—
971	#496	—	59	1	no	—
972	#495	—	59	1	no	—
973	#490	—	59	1	no	—
974	#490	—	59	1	no	—
975	#489	—	59	1	no	—
976	#489	—	59	1	no	—
977	#488	—	59	1	no	—
978	#488	—	59	1	no	—
979	#485	—	59	1	no	—
980	#485	—	59	1	no	—
981	#484	—	59	1	no	—
982	#484	—	59	1	no	—
983	#482	—	59	1	no	—
984	#482	—	59	1	no	—
985	#481	—	59	1	no	—
986	#481	—	59	1	no	—
987	#480	—	59	1	no	—
988	#480	—	59	1	no	—
989	#480	—	59	1	no	—
990	#480	—	59	1	no	—
991	#479	—	59	1	no	—
992	#479	—	59	1	no	—
993	#478	—	59	1	no	—
994	#478	—	59	1	no	—
995	#478	—	59	1	no	—
996	#478	—	59	1	no	—
997	#478	—	59	1	no	—
998	#478	—	59	1	no	—
999	#474	—	59	1	no	—
1000	#474	—	59	1	no	—
1001	#474	—	59	1	no	—
1002	#474	—	59	1	no	—
1003	#469	—	59	1	no	—
1004	#469	—	59	1	no	—
1005	#469	—	59	1	no	—
1006	#469	—	59	1	no	—
1007	#468	—	59	1	no	—
1008	#468	—	59	1	no	—
1009	#468	—	59	1	no	—
1010	#468	—	59	1	no	—
1011	#467	—	59	1	no	—
1012	#466	—	59	1	no	—
1013	#465	—	59	1	no	—
1014	#465	—	59	1	no	—
1015	#464	—	59	1	no	—
1016	#464	—	59	1	no	—
1017	#463	—	59	1	no	—
1018	#463	—	59	1	no	—
1019	#463	—	59	1	no	—
1020	#463	—	59	1	no	—
1021	#463	—	59	1	no	—
1022	#463	—	59	1	no	—
1023	#459	—	59	1	no	—
1024	#459	—	59	1	no	—
1025	#459	—	59	1	no	—
1026	#459	—	59	1	no	—
1027	#452	—	59	1	no	—
1028	#452	—	59	1	no	—
1029	#450	—	59	1	no	—
1030	#450	—	59	1	no	—
1031	#449	—	59	1	no	—
1032	#449	—	59	1	no	—
1033	#447	—	59	1	no	—
1034	#447	—	59	1	no	—
1035	#447	—	59	1	no	—
1036	#447	—	59	1	no	—
1037	#447	—	59	1	no	—
1038	#447	—	59	1	no	—
1039	#446	—	59	1	no	—
1040	#446	—	59	1	no	—
1041	#442	—	59	1	no	—
1042	#442	—	59	1	no	—
1043	#442	—	59	1	no	—
1044	#442	—	59	1	no	—
1045	#440	—	59	1	no	—
1046	#440	—	59	1	no	—
1047	#440	—	59	1	no	—
1048	#440	—	59	1	no	—
1049	C₄×Q₁₆	—	59	1	no	—
1050	C₄×SD₁₆	—	59	1	no	—
1051	C₄×SD₁₆	—	59	1	no	—
1052	C₄×SD₁₆	—	59	1	no	—
1053	C₄×SD₁₆	—	59	1	no	—
1054	C₄×SD₁₆	—	59	1	no	—
1055	C₄×SD₁₆	—	59	1	no	—
1056	C₄×D₈	—	59	1	no	—
1057	C₄×D₈	—	59	1	no	—
1058	C₄×D₈	—	59	1	no	—
1059	C₄×D₈	—	59	1	no	—
1060	C₄×D₈	—	59	1	no	—
1061	C₄×D₈	—	59	1	no	—
1062	C₄×D₈	—	59	1	no	—
1063	C₄×D₈	—	59	1	no	—
1064	C₄×D₈	—	59	1	no	—
1065	C₄×D₈	—	59	1	no	—
1066	C₄×D₈	—	59	1	no	—
1067	C₄×D₈	—	59	1	no	—
1068	C₄×D₈	—	59	1	no	—
1069	#436	—	59	1	no	—
1070	#436	—	59	1	no	—
1071	#435	—	59	1	no	—
1072	#435	—	59	1	no	—
1073	#435	—	59	1	no	—
1074	#435	—	59	1	no	—
1075	#431	—	59	1	no	—
1076	#431	—	59	1	no	—
1077	#431	—	59	1	no	—
1078	#428	—	59	1	no	—
1079	#428	—	59	1	no	—
1080	C₂×#107	—	59	1	no	—
1081	#418	—	59	1	no	—
1082	#418	—	59	1	no	—
1083	#417	—	59	1	no	—
1084	#417	—	59	1	no	—
1085	C₂×#102	—	59	1	no	—
1086	C₂×#102	—	59	1	no	—
1087	C₄×M₁₆	—	59	1	no	—
1088	C₄×M₁₆	—	59	1	no	—
1089	C₂×C₄×C₈	—	59	1	no	—
1090	C₅₉	#61444	1	1	yes	characteristic, complemented, Sylow
1091	C₂×#41	—	2	1	no	—
1092	C₂×#41	—	59	1	no	—
1093	C₂×#41	—	118	1	no	—
1094	C₂×#41	C₂²⋊D₅₉	1	1	yes	characteristic
1095	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1096	C₂²×D₄	—	2	1	no	—
1097	C₂²×D₄	—	59	1	no	—
1098	C₂²×D₄	—	59	1	no	—
1099	C₂²×D₄	—	118	1	no	—
1100	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
1101	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
1102	C₂³×C₄	—	2	1	no	—
1103	C₂³×C₄	—	2	1	no	—
1104	C₂³×C₄	—	118	1	no	—
1105	C₂³×C₄	—	118	1	no	—
1106	AGL(1,ℤ/8)	—	118	4	no	—
1107	AGL(1,ℤ/8)	—	118	4	no	—
1108	C₂×Q₁₆	—	59	1	no	—
1109	C₂×SD₁₆	—	59	1	no	—
1110	C₂×SD₁₆	—	59	1	no	—
1111	C₂×SD₁₆	—	59	1	no	—
1112	C₂×SD₁₆	—	59	1	no	—
1113	C₂×SD₁₆	—	59	1	no	—
1114	C₂×SD₁₆	—	59	1	no	—
1115	C₂×D₈	—	59	1	no	—
1116	C₂×D₈	—	59	1	no	—
1117	C₂×D₈	—	59	1	no	—
1118	C₂×D₈	—	59	1	no	—
1119	C₂×D₈	—	59	1	no	—
1120	C₂×D₈	—	59	1	no	—
1121	C₂×D₈	—	59	1	no	—
1122	C₂×D₈	—	59	1	no	—
1123	C₂×D₈	—	59	1	no	—
1124	C₂×D₈	—	118	4	no	—
1125	C₂×M₁₆	—	59	1	no	—
1126	C₂×M₁₆	—	59	1	no	—
1127	C₂×M₁₆	—	59	1	no	—
1128	C₂×M₁₆	—	59	1	no	—
1129	C₂²×C₈	—	59	1	no	—
1130	C₂²×C₈	—	59	1	no	—
1131	C₄⋊Q₈	—	59	1	no	—
1132	C₄⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1133	#127	—	59	1	no	—
1134	#127	C₂²×D₅₉	1	1	yes	characteristic
1135	#126	—	2	1	no	—
1136	#126	—	2	1	no	—
1137	#126	—	2	1	no	—
1138	#126	—	2	1	no	—
1139	#126	—	118	1	no	—
1140	#126	—	118	1	no	—
1141	#126	—	118	1	no	—
1142	#126	—	118	1	no	—
1143	#125	—	2	1	no	—
1144	#125	—	59	1	no	—
1145	#125	—	59	1	no	—
1146	#125	—	118	1	no	—
1147	#125	C₂²×D₅₉	1	1	yes	characteristic
1148	#125	C₂²×D₅₉	1	1	yes	characteristic
1149	#124	—	2	1	no	—
1150	#124	—	2	1	no	—
1151	#124	—	59	1	no	—
1152	#124	—	59	1	no	—
1153	#124	—	118	1	no	—
1154	#124	—	118	1	no	—
1155	#124	C₂²×D₅₉	1	1	yes	characteristic
1156	#124	C₂²×D₅₉	1	1	yes	characteristic
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	118	1	no	—
1166	#123	—	118	1	no	—
1167	#123	—	118	1	no	—
1168	#123	—	118	1	no	—
1169	#123	—	118	1	no	—
1170	#123	—	118	1	no	—
1171	#123	—	118	1	no	—
1172	#123	—	118	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	59	1	no	—
1179	C₂²⋊Q₈	—	59	1	no	—
1180	C₂²⋊Q₈	—	118	1	no	—
1181	C₂²⋊Q₈	—	118	1	no	—
1182	C₂²⋊Q₈	—	118	1	no	—
1183	C₂²⋊Q₈	—	118	1	no	—
1184	C₂²⋊Q₈	—	118	1	no	—
1185	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1186	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	59	1	no	—
1194	#121	—	59	1	no	—
1195	#121	—	59	1	no	—
1196	#121	—	59	1	no	—
1197	#121	—	118	1	no	—
1198	#121	—	118	1	no	—
1199	#121	—	118	1	no	—
1200	#121	—	118	1	no	—
1201	#121	—	118	1	no	—
1202	#121	—	118	1	no	—
1203	#121	C₂²×D₅₉	1	1	yes	characteristic
1204	#121	C₂²×D₅₉	1	1	yes	characteristic
1205	#121	C₂²×D₅₉	1	1	yes	characteristic
1206	#121	C₂²×D₅₉	1	1	yes	characteristic
1207	#120	—	2	1	no	—
1208	#120	—	2	1	no	—
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	118	1	no	—
1212	#120	—	118	1	no	—
1213	#120	—	118	1	no	—
1214	#120	—	118	1	no	—
1215	C₄×Q₈	—	59	1	no	—
1216	C₄×Q₈	—	59	1	no	—
1217	C₄×Q₈	C₂²⋊D₅₉	1	1	yes	characteristic
1218	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1219	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1220	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	59	1	no	—
1235	C₄×D₄	—	59	1	no	—
1236	C₄×D₄	—	59	1	no	—
1237	C₄×D₄	—	59	1	no	—
1238	C₄×D₄	—	59	1	no	—
1239	C₄×D₄	—	59	1	no	—
1240	C₄×D₄	—	59	1	no	—
1241	C₄×D₄	—	59	1	no	—
1242	C₄×D₄	—	118	1	no	—
1243	C₄×D₄	—	118	1	no	—
1244	C₄×D₄	—	118	1	no	—
1245	C₄×D₄	—	118	1	no	—
1246	C₄×D₄	—	118	1	no	—
1247	C₄×D₄	—	118	1	no	—
1248	C₄×D₄	—	118	1	no	—
1249	C₄×D₄	—	118	1	no	—
1250	C₄×D₄	—	118	1	no	—
1251	C₄×D₄	—	118	1	no	—
1252	C₄×D₄	—	118	1	no	—
1253	C₄×D₄	—	118	1	no	—
1254	C₄×D₄	—	118	1	no	—
1255	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1256	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1257	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1258	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1259	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1260	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1261	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1262	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1263	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1264	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1265	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1266	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1267	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1268	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1269	#117	—	2	1	no	—
1270	#117	—	2	1	no	—
1271	#117	—	2	1	no	—
1272	#117	—	59	1	no	—
1273	#117	—	118	1	no	—
1274	#117	—	118	1	no	—
1275	#117	—	118	1	no	—
1276	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1277	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1278	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1279	#117	C₂²×D₅₉	1	1	yes	characteristic
1280	C₂×C₄⋊C₄	—	2	1	no	—
1281	C₂×C₄⋊C₄	—	59	1	no	—
1282	C₂×C₄⋊C₄	—	59	1	no	—
1283	C₂×C₄⋊C₄	—	118	1	no	—
1284	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1285	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1286	C₂×C₂²⋊C₄	—	2	1	no	—
1287	C₂×C₂²⋊C₄	—	2	1	no	—
1288	C₂×C₂²⋊C₄	—	2	1	no	—
1289	C₂×C₂²⋊C₄	—	2	1	no	—
1290	C₂×C₂²⋊C₄	—	118	1	no	—
1291	C₂×C₂²⋊C₄	—	118	1	no	—
1292	C₂×C₂²⋊C₄	—	118	1	no	—
1293	C₂×C₂²⋊C₄	—	118	1	no	—
1294	C₂×C₄²	—	2	1	no	—
1295	C₂×C₄²	—	118	1	no	—
1296	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1297	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1298	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1299	#107	—	59	1	no	—
1300	#107	—	59	1	no	—
1301	#107	—	59	1	no	—
1302	#107	—	59	1	no	—
1303	#107	—	59	1	no	—
1304	#107	—	59	1	no	—
1305	#107	—	59	1	no	—
1306	#107	—	59	1	no	—
1307	#107	—	59	1	no	—
1308	#107	—	59	1	no	—
1309	#106	—	59	1	no	—
1310	#106	—	59	1	no	—
1311	#106	—	59	1	no	—
1312	#106	—	59	1	no	—
1313	#106	—	59	1	no	—
1314	#106	—	59	1	no	—
1315	C₄⋊C₈	—	59	1	no	—
1316	C₄⋊C₈	—	59	1	no	—
1317	C₄⋊C₈	—	59	1	no	—
1318	C₄⋊C₈	—	59	1	no	—
1319	C₄⋊C₈	—	59	1	no	—
1320	C₄⋊C₈	—	59	1	no	—
1321	#103	—	59	1	no	—
1322	#103	—	59	1	no	—
1323	#103	—	59	1	no	—
1324	#103	—	59	1	no	—
1325	#103	—	59	1	no	—
1326	#103	—	59	1	no	—
1327	#103	—	59	1	no	—
1328	#103	—	59	1	no	—
1329	#102	—	59	1	no	—
1330	#102	—	59	1	no	—
1331	#102	—	59	1	no	—
1332	#102	—	59	1	no	—
1333	#102	—	59	1	no	—
1334	#102	—	59	1	no	—
1335	#102	—	59	1	no	—
1336	#102	—	59	1	no	—
1337	#102	—	59	1	no	—
1338	#102	—	59	1	no	—
1339	#102	—	59	1	no	—
1340	#102	—	59	1	no	—
1341	#102	—	59	1	no	—
1342	#102	—	59	1	no	—
1343	#102	—	59	1	no	—
1344	#102	—	59	1	no	—
1345	#102	—	59	1	no	—
1346	#102	—	59	1	no	—
1347	#102	—	59	1	no	—
1348	#102	—	59	1	no	—
1349	#102	—	59	1	no	—
1350	#102	—	59	1	no	—
1351	#102	—	59	1	no	—
1352	#102	—	59	1	no	—
1353	C₂²⋊C₈	—	59	1	no	—
1354	C₂²⋊C₈	—	59	1	no	—
1355	C₂²⋊C₈	—	59	1	no	—
1356	C₂²⋊C₈	—	59	1	no	—
1357	C₂²⋊C₈	—	59	1	no	—
1358	C₂²⋊C₈	—	59	1	no	—
1359	#97	—	59	1	no	—
1360	#97	—	59	1	no	—
1361	#97	—	59	1	no	—
1362	#97	—	59	1	no	—
1363	C₄×C₈	—	59	1	no	—
1364	C₄×C₈	—	59	1	no	—
1365	C₄×C₈	—	59	1	no	—
1366	C₄×C₈	—	59	1	no	—
1367	C₄×C₈	—	59	1	no	—
1368	C₄×C₈	—	59	1	no	—
1369	C₂⁴	—	2	1	no	—
1370	C₂⁴	—	2	1	no	—
1371	C₂⁴	—	118	1	no	—
1372	C₂⁴	—	118	1	no	—
1373	#41	—	2	2	no	—
1374	#41	—	4	2	no	—
1375	#41	—	4	1	no	—
1376	#41	—	8	2	no	—
1377	#41	—	118	2	no	—
1378	#41	—	472	2	no	—
1379	#41	—	236	1	no	—
1380	C₂×Q₈	—	2	1	no	—
1381	C₂×Q₈	—	59	1	no	—
1382	C₂×Q₈	—	118	1	no	—
1383	C₂×Q₈	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1384	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1385	C₂×D₄	—	2	2	no	—
1386	C₂×D₄	—	2	2	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	4	1	no	—
1398	C₂×D₄	—	4	4	no	—
1399	C₂×D₄	—	59	1	no	—
1400	C₂×D₄	—	59	1	no	—
1401	C₂×D₄	—	59	1	no	—
1402	C₂×D₄	—	118	2	no	—
1403	C₂×D₄	—	118	2	no	—
1404	C₂×D₄	—	118	1	no	—
1405	C₂×D₄	—	118	1	no	—
1406	C₂×D₄	—	118	1	no	—
1407	C₂×D₄	—	118	1	no	—
1408	C₂×D₄	—	118	1	no	—
1409	C₂×D₄	—	118	1	no	—
1410	C₂×D₄	—	118	1	no	—
1411	C₂×D₄	—	118	1	no	—
1412	C₂×D₄	—	118	1	no	—
1413	C₂×D₄	—	236	1	no	—
1414	C₂×D₄	—	236	1	no	—
1415	C₂×D₄	—	236	4	no	—
1416	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1417	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1418	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1419	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1420	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1421	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	8	2	no	—
1434	C₂²×C₄	—	8	2	no	—
1435	C₂²×C₄	—	118	1	no	—
1436	C₂²×C₄	—	118	1	no	—
1437	C₂²×C₄	—	118	1	no	—
1438	C₂²×C₄	—	118	1	no	—
1439	C₂²×C₄	—	118	1	no	—
1440	C₂²×C₄	—	118	1	no	—
1441	C₂²×C₄	—	118	1	no	—
1442	C₂²×C₄	—	118	1	no	—
1443	C₂²×C₄	—	118	1	no	—
1444	C₂²×C₄	—	118	1	no	—
1445	C₂²×C₄	—	118	1	no	—
1446	C₂²×C₄	—	472	2	no	—
1447	C₂²×C₄	—	472	2	no	—
1448	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1449	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1450	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1451	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1452	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1453	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1454	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1455	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1456	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1457	Q₁₆	—	236	1	no	—
1458	SD₁₆	—	118	2	no	—
1459	SD₁₆	—	118	2	no	—
1460	SD₁₆	—	118	2	no	—
1461	SD₁₆	—	118	2	no	—
1462	SD₁₆	—	236	1	no	—
1463	SD₁₆	—	236	1	no	—
1464	D₈	—	59	4	no	—
1465	D₈	—	118	2	no	—
1466	D₈	—	118	2	no	—
1467	D₈	—	118	2	no	—
1468	D₈	—	118	2	no	—
1469	D₈	—	118	2	no	—
1470	D₈	—	236	1	no	—
1471	D₈	—	236	1	no	—
1472	D₈	—	236	1	no	—
1473	M₁₆	—	118	2	no	—
1474	M₁₆	—	118	2	no	—
1475	M₁₆	—	236	1	no	—
1476	M₁₆	—	236	1	no	—
1477	C₂×C₈	—	59	1	no	—
1478	C₂×C₈	—	59	1	no	—
1479	C₂×C₈	—	59	1	no	—
1480	C₂×C₈	—	59	1	no	—
1481	C₂×C₈	—	59	1	no	—
1482	C₂×C₈	—	59	1	no	—
1483	C₂×C₈	—	59	1	no	—
1484	C₂×C₈	—	59	1	no	—
1485	C₂×C₈	—	118	2	no	—
1486	C₂×C₈	—	236	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	59	1	no	—
1499	C₄⋊C₄	—	59	1	no	—
1500	C₄⋊C₄	—	59	1	no	—
1501	C₄⋊C₄	—	59	1	no	—
1502	C₄⋊C₄	—	118	1	no	—
1503	C₄⋊C₄	—	118	1	no	—
1504	C₄⋊C₄	—	118	1	no	—
1505	C₄⋊C₄	—	118	1	no	—
1506	C₄⋊C₄	—	118	1	no	—
1507	C₄⋊C₄	—	118	1	no	—
1508	C₄⋊C₄	—	118	1	no	—
1509	C₄⋊C₄	—	118	1	no	—
1510	C₄⋊C₄	—	118	1	no	—
1511	C₄⋊C₄	—	118	1	no	—
1512	C₄⋊C₄	—	118	1	no	—
1513	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1514	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1515	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1519	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1520	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1521	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1522	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	118	1	no	—
1543	C₂²⋊C₄	—	118	1	no	—
1544	C₂²⋊C₄	—	118	1	no	—
1545	C₂²⋊C₄	—	118	1	no	—
1546	C₂²⋊C₄	—	118	1	no	—
1547	C₂²⋊C₄	—	118	1	no	—
1548	C₂²⋊C₄	—	118	1	no	—
1549	C₂²⋊C₄	—	118	1	no	—
1550	C₂²⋊C₄	—	118	1	no	—
1551	C₂²⋊C₄	—	118	1	no	—
1552	C₂²⋊C₄	—	118	1	no	—
1553	C₂²⋊C₄	—	118	1	no	—
1554	C₂²⋊C₄	—	118	1	no	—
1555	C₂²⋊C₄	—	118	1	no	—
1556	C₂²⋊C₄	—	118	1	no	—
1557	C₂²⋊C₄	—	118	1	no	—
1558	C₂²⋊C₄	—	118	1	no	—
1559	C₂²⋊C₄	—	118	1	no	—
1560	C₂²⋊C₄	—	118	1	no	—
1561	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1562	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1563	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1564	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1567	C₄²	—	2	1	no	—
1568	C₄²	—	2	1	no	—
1569	C₄²	—	2	1	no	—
1570	C₄²	—	118	1	no	—
1571	C₄²	—	118	1	no	—
1572	C₄²	—	118	1	no	—
1573	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1574	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1575	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1576	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1577	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1578	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1579	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1580	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1581	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1582	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	4	2	no	—
1589	C₂³	—	4	2	no	—
1590	C₂³	—	8	1	no	—
1591	C₂³	—	8	1	no	—
1592	C₂³	—	118	1	no	—
1593	C₂³	—	118	1	no	—
1594	C₂³	—	118	1	no	—
1595	C₂³	—	472	1	no	—
1596	C₂³	—	472	1	no	—
1597	C₂³	—	236	2	no	—
1598	C₂³	—	236	2	no	—
1599	C₂³	—	236	2	no	—
1600	C₂³	—	236	2	no	—
1601	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1602	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1603	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	4	1	no	—
1607	Q₈	—	8	1	no	—
1608	Q₈	—	118	1	no	—
1609	Q₈	—	118	1	no	—
1610	Q₈	—	472	1	no	—
1611	D₄	—	2	2	no	—
1612	D₄	—	2	2	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	4	1	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	4	2	no	—
1621	D₄	—	4	2	no	—
1622	D₄	—	4	2	no	—
1623	D₄	—	4	2	no	—
1624	D₄	—	4	2	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	59	2	no	—
1629	D₄	—	118	1	no	—
1630	D₄	—	118	1	no	—
1631	D₄	—	118	1	no	—
1632	D₄	—	118	1	no	—
1633	D₄	—	118	1	no	—
1634	D₄	—	472	1	no	—
1635	D₄	—	472	1	no	—
1636	D₄	—	472	1	no	—
1637	D₄	—	236	2	no	—
1638	D₄	—	236	2	no	—
1639	D₄	—	236	2	no	—
1640	D₄	—	236	2	no	—
1641	D₄	—	236	2	no	—
1642	D₄	—	236	2	no	—
1643	D₄	#41×D₅₉	1	2	yes	—
1644	C₂×C₄	—	2	2	no	—
1645	C₂×C₄	—	2	2	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	2	2	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	4	1	no	—
1660	C₂×C₄	—	4	1	no	—
1661	C₂×C₄	—	4	2	no	—
1662	C₂×C₄	—	4	2	no	—
1663	C₂×C₄	—	4	2	no	—
1664	C₂×C₄	—	4	2	no	—
1665	C₂×C₄	—	4	2	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	118	1	no	—
1673	C₂×C₄	—	118	1	no	—
1674	C₂×C₄	—	118	1	no	—
1675	C₂×C₄	—	118	1	no	—
1676	C₂×C₄	—	118	1	no	—
1677	C₂×C₄	—	472	1	no	—
1678	C₂×C₄	—	472	1	no	—
1679	C₂×C₄	—	472	1	no	—
1680	C₂×C₄	—	472	1	no	—
1681	C₂×C₄	—	472	1	no	—
1682	C₂×C₄	—	472	1	no	—
1683	C₂×C₄	—	236	2	no	—
1684	C₂×C₄	—	236	2	no	—
1685	C₂×C₄	—	236	2	no	—
1686	C₂×C₄	—	236	2	no	—
1687	C₂×C₄	—	236	2	no	—
1688	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1689	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1690	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1691	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1692	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1693	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1694	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1695	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1696	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1697	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1698	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1699	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1700	C₈	—	59	2	no	—
1701	C₈	—	118	1	no	—
1702	C₈	—	118	1	no	—
1703	C₈	—	118	1	no	—
1704	C₈	—	118	1	no	—
1705	C₈	—	118	1	no	—
1706	C₈	—	118	1	no	—
1707	C₈	—	118	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	8	4	no	—
1726	C₂²	—	8	4	no	—
1727	C₂²	—	118	2	no	—
1728	C₂²	—	472	4	no	—
1729	C₂²	—	472	4	no	—
1730	C₂²	—	236	1	no	—
1731	C₂²	—	236	1	no	—
1732	C₂²	—	236	1	no	—
1733	C₂²	—	236	1	no	—
1734	C₂²	—	236	1	no	—
1735	C₂²	—	236	1	no	—
1736	C₂²	—	236	1	no	—
1737	C₂²	—	236	1	no	—
1738	C₂²	#16838200	1	2	yes	—
1739	C₂²	C₂³×C₂²⋊D₅₉	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	236	1	no	—
1756	C₄	—	236	1	no	—
1757	C₄	—	236	1	no	—
1758	C₄	—	236	1	no	—
1759	C₄	—	236	1	no	—
1760	C₄	#16838205	1	2	yes	—
1761	C₄	C₂×#41×D₅₉	1	1	yes	characteristic
1762	C₄	#16838238	1	1	yes	characteristic
1763	C₂	—	2	2	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	1	no	—
1766	C₂	—	4	2	no	—
1767	C₂	—	8	1	no	—
1768	C₂	—	8	1	no	—
1769	C₂	—	472	1	no	—
1770	C₂	—	472	1	no	—
1771	C₂	—	236	2	no	—
1772	C₂	#41×C₂²⋊D₅₉	1	1	yes	characteristic
1773	C₂	C₂×#16838200	1	1	yes	characteristic
1774	C₂	C₂×#16838205	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	C₅₉×#3481	C₂
socle	C₂²×C₅₉	C₂³×D₄
hypercenter	#3481	D₅₉
hypocenter	C₅₉	#61444
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3481

Complements

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

N	H ≅ G/N	type
1. #21437706	C₂	semidirect
2. #21437180	C₂	semidirect
3. #21437050	C₂	semidirect
4. #21436849	C₂	semidirect
5. #21436843	C₂	semidirect
6. #21436696	C₂	semidirect
7. #21436581	C₂	semidirect
8. #21436575	C₂	semidirect
9. #21436297	C₂	semidirect
10. #21436291	C₂	semidirect
11. #21436237	C₂	semidirect
12. #21436231	C₂	semidirect
13. #21436177	C₂	semidirect
14. #21436171	C₂	semidirect
15. #21435703	C₂	semidirect
16. #21435577	C₂	semidirect
17. #21435572	C₂	semidirect
18. #21434692	C₂	semidirect
19. #21434685	C₂	semidirect
20. #21434660	C₂	semidirect
21. #21434143	C₂	semidirect
22. #21434139	C₂	semidirect
23. #21434114	C₂	semidirect
24. #21434108	C₂	semidirect
25. #21434096	C₂	semidirect
26. #21434092	C₂	semidirect
27. #21433063	C₂	semidirect
28. C₄×#14273753	C₂	semidirect
29. C₄×#14273752	C₂	semidirect
30. C₂×C₄×#11745669	C₂	semidirect
31. C₅₉×#3481	C₂	semidirect
35. #16838137	C₂²	semidirect
36. #16838112	C₂²	semidirect
37. #16838109	C₂²	semidirect
39. #16838098	C₂²	semidirect
44. #16838048	C₂²	semidirect
46. D₄×D₂₃₆	C₂²	semidirect
47. #16837952	C₂²	semidirect
49. #16837936	C₂²	semidirect
50. #16837936	C₂²	semidirect
53. C₄×#11745685	C₂²	semidirect
54. C₂×C₄×D₂₃₆	C₂²	semidirect
55. C₂×C₄×D₂₃₆	C₂²	semidirect
57. #16837812	C₂²	semidirect
58. #16837808	C₂²	semidirect
59. #16837801	C₂²	semidirect
60. #16837792	C₂²	semidirect
61. #16837789	C₂²	semidirect
62. #16837784	C₂²	semidirect
63. #16837768	C₂²	semidirect
64. #16837766	C₂²	semidirect
65. #16837764	C₂²	semidirect
66. #16837761	C₂²	semidirect
67. #16837759	C₂²	semidirect
68. #16837756	C₂²	semidirect
69. #16837743	C₂²	semidirect
70. #16837740	C₂²	semidirect
71. #16837737	C₂²	semidirect
72. #16837735	C₂²	semidirect
73. #16837726	C₂²	semidirect
74. #16837723	C₂²	semidirect
75. #16837720	C₂²	semidirect
76. #16837718	C₂²	semidirect
77. #16837715	C₂²	semidirect
78. #16837715	C₂²	semidirect
79. #16837713	C₂²	semidirect
80. #16837713	C₂²	semidirect
81. #16837709	C₂²	semidirect
82. #16837706	C₂²	semidirect
83. #16837702	C₂²	semidirect
84. #16837702	C₂²	semidirect
85. #16837702	C₂²	semidirect
86. #16837699	C₂²	semidirect
87. #16837699	C₂²	semidirect
88. #16837699	C₂²	semidirect
89. #16837682	C₂²	semidirect
90. #16837682	C₂²	semidirect
91. #16837679	C₂²	semidirect
92. #16837679	C₂²	semidirect
93. #16837653	C₂²	semidirect
94. #16837653	C₂²	semidirect
95. #16837653	C₂²	semidirect
96. #16837653	C₂²	semidirect
97. #16837650	C₂²	semidirect
98. #16837650	C₂²	semidirect
99. #16837646	C₂²	semidirect
100. #16837646	C₂²	semidirect
101. #16837641	C₂²	semidirect
103. #16837633	C₂²	semidirect
104. #16837629	C₂²	semidirect
105. #16837624	C₂²	semidirect
106. #16837621	C₂²	semidirect
107. #16837617	C₂²	semidirect
108. #16837617	C₂²	semidirect
109. #16837617	C₂²	semidirect
110. #16837614	C₂²	semidirect
111. #16837614	C₂²	semidirect
112. #16837614	C₂²	semidirect
114. #16837597	C₂²	semidirect
116. #16837594	C₂²	semidirect
117. #16837564	C₂²	semidirect
118. #16837562	C₂²	semidirect
119. #16837553	C₂²	semidirect
120. #16837552	C₂²	semidirect
124. #16837536	C₂²	semidirect
125. #16837536	C₂²	semidirect
127. #16837535	C₂²	semidirect
128. #16837535	C₂²	semidirect
129. #16837533	C₂²	semidirect
130. #16837533	C₂²	semidirect
133. #16837512	C₂²	semidirect
134. #16837512	C₂²	semidirect
135. #16837502	C₂²	semidirect
136. #16837502	C₂²	semidirect
137. #16837500	C₂²	semidirect
138. #16837500	C₂²	semidirect
139. C₄×#11745672	C₂²	semidirect
140. C₄×#11745671	C₂²	semidirect
141. C₄×#11745671	C₂²	semidirect
142. C₄×#11745671	C₂²	semidirect
143. C₄×#11745670	C₂²	semidirect
144. C₄×#11745670	C₂²	semidirect
145. C₄×#11745670	C₂²	semidirect
148. C₄×#11745669	C₂²	semidirect
149. C₄×#11745669	C₂²	semidirect
150. C₄×#11745669	C₂²	semidirect
151. C₄×#11745669	C₂²	semidirect
152. C₄×#11745669	C₂²	semidirect
153. C₄×#11745669	C₂²	semidirect
154. C₄×#11745669	C₂²	semidirect
155. C₄×#11745669	C₂²	semidirect
156. C₄×#11745669	C₂²	semidirect
157. C₄×#11745669	C₂²	semidirect
158. C₄×#11745669	C₂²	semidirect
159. #16837480	C₂²	semidirect
160. #16837480	C₂²	semidirect
161. #16837474	C₂²	semidirect
162. #16837474	C₂²	semidirect
163. #16837474	C₂²	semidirect
164. #16837474	C₂²	semidirect
165. #16837455	C₂²	semidirect
166. #16837455	C₂²	semidirect
167. #16837455	C₂²	semidirect
168. #16837445	C₂²	semidirect
169. #16837442	C₂²	semidirect
170. C₂×#14273660	C₂²	semidirect
171. #16837407	C₂²	semidirect
172. #16837406	C₂²	semidirect
173. #16837403	C₂²	semidirect
174. #16837401	C₂²	semidirect
175. C₂×#14273648	C₂²	semidirect
176. C₂×#14273647	C₂²	semidirect
177. C₄×#11745664	C₂²	semidirect
178. C₄×#11745664	C₂²	semidirect
179. C₂×C₄×C₅₉⋊C₈	C₂²	semidirect
180. C₅₉×#559	C₂²	semidirect
181. C₅₉×#554	C₂²	semidirect
182. C₅₉×#554	C₂²	semidirect
185. C₅₉×#553	C₂²	semidirect
190. C₅₉×#546	C₂²	semidirect
191. D₄²×C₅₉	C₂²	semidirect
192. C₅₉×#532	C₂²	semidirect
194. C₅₉×#529	C₂²	semidirect
195. C₅₉×#529	C₂²	semidirect
199. C₄×#41×C₅₉	C₂²	semidirect
201. C₂×C₄×D₄×C₅₉	C₂²	semidirect
202. C₂×C₄×D₄×C₅₉	C₂²	semidirect
646. #11745669	#41	semidirect
877. #3481	D₅₉	semidirect
923. #559	C₂×D₅₉	semidirect
926. #554	C₂×D₅₉	semidirect
927. #554	C₂×D₅₉	semidirect
933. #553	C₂×D₅₉	semidirect
943. #546	C₂×D₅₉	semidirect
945. D₄²	C₂×D₅₉	semidirect
947. #532	C₂×D₅₉	semidirect
952. #529	C₂×D₅₉	semidirect
953. #529	C₂×D₅₉	semidirect
960. C₄×#41	C₂×D₅₉	semidirect
965. C₂×C₄×D₄	C₂×D₅₉	semidirect
966. C₂×C₄×D₄	C₂×D₅₉	semidirect
1090. C₅₉	#61444	semidirect

Maximal subgroups

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

subgroup	index
#21437706	2
#21437180	2
#21437050	2
#21436849	2
#21436843	2
#21436696	2
#21436581	2
#21436575	2
#21436297	2
#21436291	2
#21436237	2
#21436231	2
#21436177	2
#21436171	2
#21435703	2
#21435577	2
#21435572	2
#21434692	2
#21434685	2
#21434660	2
#21434143	2
#21434139	2
#21434114	2
#21434108	2
#21434096	2
#21434092	2
#21433063	2
C₄×#14273753	2
C₄×#14273752	2
C₂×C₄×#11745669	2
C₅₉×#3481	2
#61444	59