Subgroups — #29470401

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21437660	C₂	1	1	yes	maximal, characteristic, complemented
2	#21437171	C₂	1	1	yes	maximal, characteristic, complemented
3	#21437050	C₂	1	1	yes	maximal, characteristic, complemented
4	#21436923	C₂	1	1	yes	maximal, characteristic, complemented
5	#21436917	C₂	1	1	yes	maximal, characteristic, complemented
6	#21436665	C₂	1	1	yes	maximal, characteristic, complemented
7	#21436611	C₂	1	1	yes	maximal, characteristic, complemented
8	#21436605	C₂	1	1	yes	maximal, characteristic, complemented
9	#21436312	C₂	1	1	yes	maximal, characteristic, complemented
10	#21436306	C₂	1	1	yes	maximal, characteristic, complemented
11	#21436252	C₂	1	1	yes	maximal, characteristic, complemented
12	#21436246	C₂	1	1	yes	maximal, characteristic, complemented
13	#21436192	C₂	1	1	yes	maximal, characteristic, complemented
14	#21436186	C₂	1	1	yes	maximal, characteristic, complemented
15	#21435703	C₂	1	1	yes	maximal, characteristic, complemented
16	#21435622	C₂	1	1	yes	maximal, characteristic, complemented
17	#21435617	C₂	1	1	yes	maximal, characteristic, complemented
18	#21434703	C₂	1	1	yes	maximal, characteristic, complemented
19	#21434696	C₂	1	1	yes	maximal, characteristic, complemented
20	#21434660	C₂	1	1	yes	maximal, characteristic, complemented
21	#21434167	C₂	1	1	yes	maximal, characteristic, complemented
22	#21434161	C₂	1	1	yes	maximal, characteristic, complemented
23	#21434143	C₂	1	1	yes	maximal, characteristic, complemented
24	#21434139	C₂	1	1	yes	maximal, characteristic, complemented
25	#21434114	C₂	1	1	yes	maximal, characteristic, complemented
26	#21434108	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	C₄×#14273747	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#3475	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14273753	C₂²	1	1	yes	characteristic
33	C₂×#14273752	C₂²	1	1	yes	characteristic
34	C₂×#14273747	C₂²	1	1	yes	characteristic
35	#16838125	C₂²	1	1	yes	characteristic, complemented
36	#16838117	C₂²	1	1	yes	characteristic
37	#16838112	C₂²	1	1	yes	characteristic, complemented
38	#16838102	—	2	1	no	—
39	#16838093	—	2	1	no	—
40	#16838092	C₂²	1	1	yes	characteristic
41	#16838092	C₂²	1	1	yes	characteristic, complemented
42	#16838081	—	2	1	no	—
43	#16838081	—	2	1	no	—
44	#16838057	C₂²	1	1	yes	characteristic
45	#16838048	C₂²	1	1	yes	characteristic
46	#16838048	C₂²	1	1	yes	characteristic, complemented
47	#16837959	C₂²	1	1	yes	characteristic, complemented
48	#16837936	C₂²	1	1	yes	characteristic
49	#16837936	C₂²	1	1	yes	characteristic, complemented
50	#16837930	—	2	1	no	—
51	#16837930	—	2	1	no	—
52	#16837909	—	2	1	no	—
53	C₄×#11745685	C₂²	1	1	yes	characteristic
54	C₄×#11745685	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×D₂₃₆	C₂²	1	1	yes	characteristic, complemented
56	#117×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	#16837797	C₂²	1	1	yes	characteristic, complemented
61	#16837794	C₂²	1	1	yes	characteristic, complemented
62	#16837784	C₂²	1	1	yes	characteristic
63	#16837772	C₂²	1	1	yes	characteristic, complemented
64	#16837770	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	#16837743	C₂²	1	1	yes	characteristic, complemented
71	#16837743	C₂²	1	1	yes	characteristic, complemented
72	#16837740	C₂²	1	1	yes	characteristic, complemented
73	#16837740	C₂²	1	1	yes	characteristic, complemented
74	#16837740	C₂²	1	1	yes	characteristic, complemented
75	#16837737	C₂²	1	1	yes	characteristic, complemented
76	#16837735	C₂²	1	1	yes	characteristic, complemented
77	#16837726	C₂²	1	1	yes	characteristic, complemented
78	#16837723	C₂²	1	1	yes	characteristic, complemented
79	#16837720	C₂²	1	1	yes	characteristic
80	#16837718	C₂²	1	1	yes	characteristic
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	#16837687	C₂²	1	1	yes	characteristic, complemented
90	#16837684	C₂²	1	1	yes	characteristic, complemented
91	#16837682	C₂²	1	1	yes	characteristic, complemented
92	#16837679	C₂²	1	1	yes	characteristic, complemented
93	#16837658	C₂²	1	1	yes	characteristic, complemented
94	#16837658	C₂²	1	1	yes	characteristic, complemented
95	#16837658	C₂²	1	1	yes	characteristic, complemented
96	#16837658	C₂²	1	1	yes	characteristic, complemented
97	#16837650	C₂²	1	1	yes	characteristic
98	#16837650	C₂²	1	1	yes	characteristic
99	#16837646	C₂²	1	1	yes	characteristic
100	#16837646	C₂²	1	1	yes	characteristic
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
108	#16837617	C₂²	1	1	yes	characteristic
109	#16837617	C₂²	1	1	yes	characteristic
110	#16837614	C₂²	1	1	yes	characteristic
111	#16837614	C₂²	1	1	yes	characteristic
112	#16837614	C₂²	1	1	yes	characteristic
113	#16837612	C₂²	1	1	yes	characteristic, complemented
114	#16837609	C₂²	1	1	yes	characteristic, complemented
115	#16837607	C₂²	1	1	yes	characteristic, complemented
116	#16837604	C₂²	1	1	yes	characteristic, complemented
117	#16837564	C₂²	1	1	yes	characteristic
118	#16837564	C₂²	1	1	yes	characteristic
119	#16837564	C₂²	1	1	yes	characteristic, complemented
120	#16837562	C₂²	1	1	yes	characteristic
121	#16837562	C₂²	1	1	yes	characteristic
122	#16837562	C₂²	1	1	yes	characteristic, complemented
123	#16837553	C₂²	1	1	yes	characteristic, complemented
124	#16837552	C₂²	1	1	yes	characteristic, complemented
125	#16837547	C₂²	1	1	yes	characteristic
126	#16837545	C₂²	1	1	yes	characteristic
127	#16837536	C₂²	1	1	yes	characteristic
128	#16837535	C₂²	1	1	yes	characteristic
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
134	#16837512	C₂²	1	1	yes	characteristic
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×#11745672	C₂²	1	1	yes	characteristic, complemented
141	C₄×#11745672	C₂²	1	1	yes	characteristic, complemented
142	C₄×#11745672	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11745672	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
145	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
146	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
147	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
148	C₄×#11745671	C₂²	1	1	yes	characteristic, complemented
149	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
150	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
151	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
152	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
153	C₄×#11745670	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11745669	C₂²	1	1	yes	characteristic
155	C₄×#11745669	C₂²	1	1	yes	characteristic
156	C₄×#11745669	C₂²	1	1	yes	characteristic
157	C₄×#11745669	C₂²	1	1	yes	characteristic
158	C₄×#11745669	C₂²	1	1	yes	characteristic
159	#16837480	C₂²	1	1	yes	characteristic
160	#16837480	C₂²	1	1	yes	characteristic
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	#16837438	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
174	#16837401	C₂²	1	1	yes	characteristic
175	#16837398	C₂²	1	1	yes	characteristic, complemented
176	#16837396	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×#556	C₂²	1	1	yes	characteristic, complemented
181	C₅₉×#555	C₂²	1	1	yes	characteristic
182	C₅₉×#554	C₂²	1	1	yes	characteristic, complemented
183	C₅₉×#553	—	2	1	no	—
184	C₅₉×#552	—	2	1	no	—
185	C₅₉×#552	C₂²	1	1	yes	characteristic
186	C₅₉×#552	C₂²	1	1	yes	characteristic, complemented
187	C₅₉×#551	—	2	1	no	—
188	C₅₉×#551	—	2	1	no	—
189	C₅₉×#547	C₂²	1	1	yes	characteristic
190	C₅₉×#546	C₂²	1	1	yes	characteristic
191	C₅₉×#546	C₂²	1	1	yes	characteristic, complemented
192	C₅₉×#533	C₂²	1	1	yes	characteristic, complemented
193	C₅₉×#529	—	2	1	no	—
194	C₅₉×#529	—	2	1	no	—
195	C₅₉×#529	C₂²	1	1	yes	characteristic
196	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
197	C₅₉×#525	—	2	1	no	—
198	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
199	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
200	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
202	C₂×#117×C₅₉	—	2	1	no	—
203	C₂×#11745685	C₂³	1	1	yes	characteristic
204	C₂×#11745685	C₂³	1	1	yes	characteristic
205	C₂²×D₂₃₆	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅₉	—	2	1	no	—
207	#14273753	—	2	4	no	—
208	#14273752	—	2	4	no	—
209	#14273747	—	2	4	no	—
210	C₂×#11745672	C₂³	1	1	yes	characteristic
211	C₂×#11745672	C₂³	1	1	yes	characteristic
212	C₂×#11745672	C₂³	1	1	yes	characteristic
213	C₂×#11745672	C₂³	1	1	yes	characteristic
214	C₂×#11745670	C₂³	1	1	yes	characteristic
215	C₂×#11745670	C₂³	1	1	yes	characteristic
216	C₂×#11745670	C₂³	1	1	yes	characteristic
217	C₂×#11745670	C₂³	1	1	yes	characteristic
218	C₂×#11745671	C₂³	1	1	yes	characteristic
219	C₂×#11745671	C₂³	1	1	yes	characteristic
220	C₂×#11745671	C₂³	1	1	yes	characteristic
221	C₂×#11745671	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×#11745664	C₂³	1	1	yes	characteristic
227	C₂×#11745664	C₂³	1	1	yes	characteristic
228	C₂×#11745664	C₂³	1	1	yes	characteristic
229	C₂×#11745664	C₂³	1	1	yes	characteristic
230	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
232	#14273727	C₂³	1	1	yes	characteristic
233	#14273727	C₂³	1	1	yes	characteristic
234	#14273722	—	2	1	no	—
235	#14273722	—	2	1	no	—
236	#14273721	—	2	1	no	—
237	#14273721	—	2	1	no	—
238	#14273720	—	2	1	no	—
239	#14273720	—	2	1	no	—
240	#14273719	—	2	1	no	—
241	#14273719	C₂³	1	1	yes	characteristic
242	#14273719	C₂³	1	1	yes	characteristic
243	#14273717	—	2	1	no	—
244	#14273717	—	2	1	no	—
245	#14273715	C₂³	1	1	yes	characteristic
246	#14273715	C₂³	1	1	yes	characteristic
247	#14273713	—	2	1	no	—
248	#14273713	—	2	1	no	—
249	#14273712	—	2	1	no	—
250	#14273712	—	2	1	no	—
251	#14273710	—	2	1	no	—
252	#14273710	—	2	1	no	—
253	#14273709	—	2	1	no	—
254	#14273709	—	2	1	no	—
255	#14273708	—	2	1	no	—
256	#14273708	—	2	1	no	—
257	#14273706	—	2	1	no	—
258	#14273706	C₂³	1	1	yes	characteristic
259	#14273706	C₂³	1	1	yes	characteristic
260	#14273706	C₂³	1	1	yes	characteristic
261	#14273706	C₂³	1	1	yes	characteristic
262	#14273705	—	2	1	no	—
263	#14273705	—	2	1	no	—
264	#14273703	—	2	1	no	—
265	#14273703	—	2	1	no	—
266	#14273701	C₂³	1	1	yes	characteristic
267	#14273701	C₂³	1	1	yes	characteristic
268	#14273700	—	2	1	no	—
269	#14273700	—	2	1	no	—
270	#14273698	—	2	1	no	—
271	#14273698	—	2	1	no	—
272	#14273695	—	2	1	no	—
273	#14273695	—	2	1	no	—
274	C₄×Dic₁₁₈	—	2	1	no	—
275	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
276	C₄×Dic₁₁₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
282	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
283	C₄×D₂₃₆	C₂³	1	1	yes	characteristic
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×C₂²⋊D₅₉	—	2	1	no	—
288	C₄×C₂²⋊D₅₉	—	2	1	no	—
289	C₄×C₂²⋊D₅₉	—	2	1	no	—
290	C₄×C₂²⋊D₅₉	—	2	1	no	—
291	C₄×C₂²⋊D₅₉	—	2	1	no	—
292	C₄×C₂²⋊D₅₉	—	2	1	no	—
293	#14273686	—	2	1	no	—
294	#14273686	C₂³	1	1	yes	characteristic
295	#14273686	C₂³	1	1	yes	characteristic
296	#14273685	—	2	1	no	—
297	#14273685	—	2	1	no	—
298	#14273684	—	2	1	no	—
299	#14273684	—	2	1	no	—
300	#14273684	—	2	1	no	—
301	#14273684	—	2	1	no	—
302	#14273683	—	2	1	no	—
303	#14273683	—	2	1	no	—
304	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
305	C₄⋊C₄×D₅₉	—	2	1	no	—
306	C₄⋊C₄×D₅₉	—	2	1	no	—
307	C₂×(C₂×D₅₉)⋊C₄	—	2	1	no	—
308	C₂²⋊C₄×D₅₉	—	2	1	no	—
309	C₂²⋊C₄×D₅₉	—	2	1	no	—
310	C₄²×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	#14273658	C₂³	1	1	yes	characteristic
321	#14273658	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	#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	#14273650	C₂³	1	1	yes	characteristic
343	#14273650	C₂³	1	1	yes	characteristic
344	#14273650	C₂³	1	1	yes	characteristic
345	#14273650	C₂³	1	1	yes	characteristic
346	#14273650	C₂³	1	1	yes	characteristic
347	#14273650	C₂³	1	1	yes	characteristic
348	#14273650	C₂³	1	1	yes	characteristic
349	#14273650	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	#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	#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	D₄	1	1	yes	characteristic
383	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
384	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
385	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
386	C₂³×C₄×C₅₉	—	2	1	no	—
387	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
388	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
389	#126×C₅₉	—	2	1	no	—
390	#126×C₅₉	—	2	1	no	—
391	#126×C₅₉	—	2	1	no	—
392	#126×C₅₉	—	2	1	no	—
393	#126×C₅₉	—	2	1	no	—
394	#126×C₅₉	—	2	1	no	—
395	#125×C₅₉	—	2	1	no	—
396	#125×C₅₉	—	2	1	no	—
397	#125×C₅₉	—	2	1	no	—
398	#125×C₅₉	C₂³	1	1	yes	characteristic
399	#125×C₅₉	C₂³	1	1	yes	characteristic
400	#124×C₅₉	—	2	1	no	—
401	#124×C₅₉	—	2	1	no	—
402	#124×C₅₉	C₂³	1	1	yes	characteristic
403	#124×C₅₉	C₂³	1	1	yes	characteristic
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	#123×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	—	2	1	no	—
417	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
418	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
419	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
420	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
421	#121×C₅₉	—	2	1	no	—
422	#121×C₅₉	—	2	1	no	—
423	#121×C₅₉	—	2	1	no	—
424	#121×C₅₉	—	2	1	no	—
425	#121×C₅₉	C₂³	1	1	yes	characteristic
426	#121×C₅₉	C₂³	1	1	yes	characteristic
427	#120×C₅₉	—	2	1	no	—
428	#120×C₅₉	—	2	1	no	—
429	C₄×Q₈×C₅₉	—	2	1	no	—
430	C₄×Q₈×C₅₉	D₄	1	1	yes	characteristic
431	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
432	C₄×Q₈×C₅₉	C₂³	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	D₄	1	1	yes	characteristic
445	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
446	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
447	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
448	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
449	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
451	C₄×D₄×C₅₉	C₂³	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	#117×C₅₉	—	2	1	no	—
457	#117×C₅₉	—	2	1	no	—
458	#117×C₅₉	—	2	1	no	—
459	#117×C₅₉	—	2	1	no	—
460	#117×C₅₉	—	2	1	no	—
461	#117×C₅₉	—	2	1	no	—
462	#117×C₅₉	—	2	1	no	—
463	#117×C₅₉	—	2	1	no	—
464	#117×C₅₉	—	2	1	no	—
465	#117×C₅₉	D₄	1	1	yes	characteristic
466	#117×C₅₉	D₄	1	1	yes	characteristic
467	#117×C₅₉	D₄	1	1	yes	characteristic
468	#117×C₅₉	C₂³	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	—	2	1	no	—
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×C₄²×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	C₂³×D₅₉	—	2	1	no	—
483	#41×C₅₉	—	2	2	no	—
484	#41×C₅₉	—	2	2	no	—
485	#41×C₅₉	—	4	2	no	—
486	#41×C₅₉	—	4	1	no	—
487	#41×C₅₉	—	4	1	no	—
488	C₂×Q₈×C₅₉	—	2	1	no	—
489	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₅₉	C₂⁴	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	1	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	—	4	1	no	—
499	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
500	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₅₉	—	2	1	no	—
505	C₂²×C₄×C₅₉	—	2	1	no	—
506	C₂²×C₄×C₅₉	—	2	1	no	—
507	C₂²×C₄×C₅₉	—	2	1	no	—
508	C₂²×C₄×C₅₉	—	2	1	no	—
509	C₂²×C₄×C₅₉	—	2	1	no	—
510	C₂²×C₄×C₅₉	—	2	1	no	—
511	C₂²×C₄×C₅₉	—	2	1	no	—
512	C₂²×C₄×C₅₉	—	2	1	no	—
513	C₂²×C₄×C₅₉	—	4	4	no	—
514	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
520	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
523	C₂×C₂²⋊D₅₉	—	2	1	no	—
524	C₂×C₂²⋊D₅₉	—	2	1	no	—
525	C₂×C₂²⋊D₅₉	—	2	1	no	—
526	C₂×C₂²⋊D₅₉	—	2	1	no	—
527	C₂²×Dic₅₉	—	2	1	no	—
528	#11745685	—	2	2	no	—
529	#11745685	—	2	2	no	—
530	#11745685	—	4	1	no	—
531	#11745685	—	4	1	no	—
532	C₂×D₂₃₆	—	2	2	no	—
533	C₂×D₂₃₆	—	2	1	no	—
534	C₂×D₂₃₆	—	4	1	no	—
535	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
536	C₂×D₂₃₆	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅₉	—	2	1	no	—
538	C₂×C₄×D₅₉	—	2	1	no	—
539	C₂×C₄×D₅₉	—	2	1	no	—
540	C₂×C₄×D₅₉	—	2	1	no	—
541	C₂×C₄×D₅₉	—	2	1	no	—
542	C₂×C₄×D₅₉	—	2	1	no	—
543	C₂×C₄×D₅₉	—	2	1	no	—
544	C₂×C₄×D₅₉	—	2	1	no	—
545	C₂×C₄×D₅₉	—	4	4	no	—
546	C₂×Dic₁₁₈	—	2	1	no	—
547	C₂×Dic₁₁₈	C₂⁴	1	1	yes	characteristic
548	C₂×Dic₁₁₈	C₂⁴	1	1	yes	characteristic
549	C₄⋊C₄×C₅₉	—	2	1	no	—
550	C₄⋊C₄×C₅₉	—	2	1	no	—
551	C₄⋊C₄×C₅₉	—	2	1	no	—
552	C₄⋊C₄×C₅₉	—	2	1	no	—
553	C₄⋊C₄×C₅₉	—	2	1	no	—
554	C₄⋊C₄×C₅₉	—	2	1	no	—
555	C₄⋊C₄×C₅₉	—	2	1	no	—
556	C₄⋊C₄×C₅₉	—	2	1	no	—
557	C₄⋊C₄×C₅₉	—	2	1	no	—
558	C₄⋊C₄×C₅₉	—	2	1	no	—
559	C₄⋊C₄×C₅₉	—	2	1	no	—
560	C₄⋊C₄×C₅₉	—	2	1	no	—
561	C₄⋊C₄×C₅₉	—	2	1	no	—
562	C₄⋊C₄×C₅₉	—	2	1	no	—
563	C₄⋊C₄×C₅₉	—	2	1	no	—
564	C₄⋊C₄×C₅₉	—	2	1	no	—
565	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
566	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
567	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
568	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
569	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
570	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
571	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
572	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
573	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
574	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
575	C₂²⋊C₄×C₅₉	—	2	1	no	—
576	C₂²⋊C₄×C₅₉	—	2	1	no	—
577	C₂²⋊C₄×C₅₉	—	2	1	no	—
578	C₂²⋊C₄×C₅₉	—	2	1	no	—
579	C₂²⋊C₄×C₅₉	—	2	1	no	—
580	C₂²⋊C₄×C₅₉	—	2	1	no	—
581	C₂²⋊C₄×C₅₉	—	2	1	no	—
582	C₂²⋊C₄×C₅₉	—	2	1	no	—
583	C₂²⋊C₄×C₅₉	—	2	1	no	—
584	C₂²⋊C₄×C₅₉	—	2	1	no	—
585	C₂²⋊C₄×C₅₉	—	2	1	no	—
586	C₂²⋊C₄×C₅₉	—	2	1	no	—
587	C₂²⋊C₄×C₅₉	—	2	1	no	—
588	C₂²⋊C₄×C₅₉	—	2	1	no	—
589	C₂²⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
594	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
595	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
596	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
597	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₅₉	—	2	1	no	—
600	C₄²×C₅₉	—	2	1	no	—
601	C₄²×C₅₉	—	2	1	no	—
602	C₄²×C₅₉	—	2	1	no	—
603	C₄²×C₅₉	—	2	1	no	—
604	C₄²×C₅₉	—	2	1	no	—
605	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
606	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
612	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
613	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
614	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
615	C₂²⋊Dic₅₉	—	2	1	no	—
616	C₂²⋊Dic₅₉	—	2	1	no	—
617	C₂²⋊Dic₅₉	—	2	1	no	—
618	C₂²⋊Dic₅₉	—	2	1	no	—
619	C₂²⋊Dic₅₉	—	2	1	no	—
620	C₂²⋊Dic₅₉	—	2	1	no	—
621	#11745672	—	2	2	no	—
622	#11745672	—	4	1	no	—
623	#11745672	—	4	1	no	—
624	#11745672	—	4	1	no	—
625	#11745671	—	2	2	no	—
626	#11745671	—	2	2	no	—
627	#11745671	—	2	2	no	—
628	#11745671	—	4	1	no	—
629	#11745670	—	2	2	no	—
630	#11745670	—	2	2	no	—
631	#11745670	—	2	2	no	—
632	#11745670	—	4	1	no	—
633	#11745669	—	2	2	no	—
634	#11745669	—	2	2	no	—
635	#11745669	—	4	1	no	—
636	#11745669	#41	1	4	yes	complemented
637	(C₂×D₅₉)⋊C₄	—	2	1	no	—
638	(C₂×D₅₉)⋊C₄	—	2	1	no	—
639	(C₂×D₅₉)⋊C₄	—	2	1	no	—
640	(C₂×D₅₉)⋊C₄	—	2	1	no	—
641	(C₂×D₅₉)⋊C₄	—	2	1	no	—
642	(C₂×D₅₉)⋊C₄	—	2	1	no	—
643	(C₂×D₅₉)⋊C₄	—	2	1	no	—
644	(C₂×D₅₉)⋊C₄	—	2	1	no	—
645	(C₂×D₅₉)⋊C₄	—	2	1	no	—
646	(C₂×D₅₉)⋊C₄	—	2	1	no	—
647	(C₂×D₅₉)⋊C₄	—	2	1	no	—
648	(C₂×D₅₉)⋊C₄	—	2	1	no	—
649	C₄⋊Dic₅₉	—	2	1	no	—
650	C₄⋊Dic₅₉	—	2	1	no	—
651	C₄⋊Dic₅₉	—	2	1	no	—
652	C₄⋊Dic₅₉	—	2	1	no	—
653	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅₉	C₂⁴	1	1	yes	characteristic
657	Dic₅₉⋊C₄	—	2	1	no	—
658	Dic₅₉⋊C₄	—	2	1	no	—
659	Dic₅₉⋊C₄	—	2	1	no	—
660	Dic₅₉⋊C₄	—	2	1	no	—
661	Dic₅₉⋊C₄	—	2	1	no	—
662	Dic₅₉⋊C₄	—	2	1	no	—
663	Dic₅₉⋊C₄	—	2	1	no	—
664	Dic₅₉⋊C₄	—	2	1	no	—
665	Dic₅₉⋊C₄	—	2	1	no	—
666	Dic₅₉⋊C₄	—	2	1	no	—
667	Dic₅₉⋊C₄	—	2	1	no	—
668	Dic₅₉⋊C₄	—	2	1	no	—
669	C₄×Dic₅₉	—	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	#11745664	—	2	2	no	—
676	#11745664	—	2	2	no	—
677	#11745664	—	4	1	no	—
678	#11745664	—	4	1	no	—
679	C₂×C₅₉⋊C₈	—	2	2	no	—
680	C₂×C₅₉⋊C₈	—	4	1	no	—
681	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
682	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
683	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
686	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
687	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
688	C₂×C₅₉⋊C₈	C₂⁴	1	1	yes	characteristic
689	C₂³×C₅₉	—	2	1	no	—
690	C₂³×C₅₉	—	2	1	no	—
691	C₂³×C₅₉	—	4	2	no	—
692	C₂³×C₅₉	—	4	2	no	—
693	C₂³×C₅₉	—	8	1	no	—
694	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
696	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
697	C₂²×D₅₉	—	2	1	no	—
698	C₂²×D₅₉	—	2	1	no	—
699	C₂²×D₅₉	—	4	2	no	—
700	C₂²×D₅₉	—	4	2	no	—
701	C₂²×D₅₉	—	8	1	no	—
702	Q₈×C₅₉	—	2	1	no	—
703	Q₈×C₅₉	—	2	1	no	—
704	Q₈×C₅₉	—	2	1	no	—
705	Q₈×C₅₉	—	2	1	no	—
706	Q₈×C₅₉	—	4	1	no	—
707	Q₈×C₅₉	—	8	1	no	—
708	D₄×C₅₉	—	2	1	no	—
709	D₄×C₅₉	—	2	1	no	—
710	D₄×C₅₉	—	2	1	no	—
711	D₄×C₅₉	—	4	1	no	—
712	D₄×C₅₉	—	4	1	no	—
713	D₄×C₅₉	—	4	1	no	—
714	D₄×C₅₉	—	4	2	no	—
715	D₄×C₅₉	—	4	2	no	—
716	D₄×C₅₉	—	4	2	no	—
717	D₄×C₅₉	—	8	1	no	—
718	D₄×C₅₉	—	8	1	no	—
719	D₄×C₅₉	C₂×#41	1	2	yes	—
720	C₂×C₄×C₅₉	—	2	2	no	—
721	C₂×C₄×C₅₉	—	2	2	no	—
722	C₂×C₄×C₅₉	—	2	2	no	—
723	C₂×C₄×C₅₉	—	2	1	no	—
724	C₂×C₄×C₅₉	—	2	1	no	—
725	C₂×C₄×C₅₉	—	2	1	no	—
726	C₂×C₄×C₅₉	—	2	1	no	—
727	C₂×C₄×C₅₉	—	2	1	no	—
728	C₂×C₄×C₅₉	—	2	1	no	—
729	C₂×C₄×C₅₉	—	2	1	no	—
730	C₂×C₄×C₅₉	—	2	1	no	—
731	C₂×C₄×C₅₉	—	2	1	no	—
732	C₂×C₄×C₅₉	—	2	1	no	—
733	C₂×C₄×C₅₉	—	2	1	no	—
734	C₂×C₄×C₅₉	—	2	1	no	—
735	C₂×C₄×C₅₉	—	4	1	no	—
736	C₂×C₄×C₅₉	—	4	1	no	—
737	C₂×C₄×C₅₉	—	4	1	no	—
738	C₂×C₄×C₅₉	—	4	2	no	—
739	C₂×C₄×C₅₉	—	4	2	no	—
740	C₂×C₄×C₅₉	—	4	2	no	—
741	C₂×C₄×C₅₉	—	4	2	no	—
742	C₂×C₄×C₅₉	—	4	2	no	—
743	C₂×C₄×C₅₉	—	4	2	no	—
744	C₂×C₄×C₅₉	—	4	2	no	—
745	C₂×C₄×C₅₉	—	8	1	no	—
746	C₂×C₄×C₅₉	—	8	1	no	—
747	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
759	C₂²⋊D₅₉	—	4	2	no	—
760	C₂²⋊D₅₉	—	4	2	no	—
761	C₂²⋊D₅₉	—	8	1	no	—
762	C₂²⋊D₅₉	—	8	1	no	—
763	C₂×Dic₅₉	—	2	1	no	—
764	C₂×Dic₅₉	—	2	1	no	—
765	C₂×Dic₅₉	—	2	1	no	—
766	C₂×Dic₅₉	—	2	1	no	—
767	C₂×Dic₅₉	—	2	1	no	—
768	C₂×Dic₅₉	—	2	1	no	—
769	C₂×Dic₅₉	—	4	2	no	—
770	D₂₃₆	—	2	1	no	—
771	D₂₃₆	—	2	1	no	—
772	D₂₃₆	—	2	1	no	—
773	D₂₃₆	—	4	2	no	—
774	D₂₃₆	C₂×#41	1	2	yes	—
775	C₄×D₅₉	—	4	2	no	—
776	C₄×D₅₉	—	4	2	no	—
777	C₄×D₅₉	—	4	2	no	—
778	C₄×D₅₉	—	4	2	no	—
779	C₄×D₅₉	—	4	2	no	—
780	C₄×D₅₉	—	4	2	no	—
781	C₄×D₅₉	—	8	1	no	—
782	C₄×D₅₉	—	8	1	no	—
783	Dic₁₁₈	—	2	1	no	—
784	Dic₁₁₈	—	2	1	no	—
785	Dic₁₁₈	—	2	1	no	—
786	Dic₁₁₈	—	2	1	no	—
787	Dic₁₁₈	—	8	1	no	—
788	C₅₉⋊C₈	—	2	1	no	—
789	C₅₉⋊C₈	—	2	1	no	—
790	C₅₉⋊C₈	—	2	1	no	—
791	C₅₉⋊C₈	—	2	1	no	—
792	C₅₉⋊C₈	—	2	1	no	—
793	C₅₉⋊C₈	—	2	1	no	—
794	C₅₉⋊C₈	—	2	1	no	—
795	C₅₉⋊C₈	C₂×#41	1	2	yes	—
796	#61442	—	59	1	no	maximal, Sylow
797	C₂²×C₅₉	—	2	1	no	—
798	C₂²×C₅₉	—	2	1	no	—
799	C₂²×C₅₉	—	2	1	no	—
800	C₂²×C₅₉	—	2	1	no	—
801	C₂²×C₅₉	—	2	1	no	—
802	C₂²×C₅₉	—	2	1	no	—
803	C₂²×C₅₉	—	2	2	no	—
804	C₂²×C₅₉	—	2	1	no	—
805	C₂²×C₅₉	—	2	1	no	—
806	C₂²×C₅₉	—	2	1	no	—
807	C₂²×C₅₉	—	4	1	no	—
808	C₂²×C₅₉	—	4	1	no	—
809	C₂²×C₅₉	—	4	1	no	—
810	C₂²×C₅₉	—	4	1	no	—
811	C₂²×C₅₉	—	4	1	no	—
812	C₂²×C₅₉	—	8	4	no	—
813	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
814	C₂×D₅₉	—	2	2	no	—
815	C₂×D₅₉	—	4	1	no	—
816	C₂×D₅₉	—	4	1	no	—
817	C₂×D₅₉	—	4	1	no	—
818	C₂×D₅₉	—	4	1	no	—
819	C₂×D₅₉	—	4	1	no	—
820	C₂×D₅₉	—	8	4	no	—
821	C₄×C₅₉	—	2	1	no	—
822	C₄×C₅₉	—	2	1	no	—
823	C₄×C₅₉	—	2	1	no	—
824	C₄×C₅₉	—	2	1	no	—
825	C₄×C₅₉	—	2	1	no	—
826	C₄×C₅₉	—	2	1	no	—
827	C₄×C₅₉	—	2	1	no	—
828	C₄×C₅₉	—	2	1	no	—
829	C₄×C₅₉	—	2	1	no	—
830	C₄×C₅₉	—	2	1	no	—
831	C₄×C₅₉	—	4	1	no	—
832	C₄×C₅₉	—	4	1	no	—
833	C₄×C₅₉	—	4	1	no	—
834	C₄×C₅₉	—	4	1	no	—
835	C₄×C₅₉	—	4	1	no	—
836	C₄×C₅₉	—	4	1	no	—
837	C₄×C₅₉	#575	1	2	yes	—
838	C₄×C₅₉	C₂²×#41	1	1	yes	characteristic
839	C₄×C₅₉	#585	1	1	yes	characteristic
840	Dic₅₉	—	4	1	no	—
841	Dic₅₉	—	4	1	no	—
842	Dic₅₉	—	4	1	no	—
843	Dic₅₉	—	4	1	no	—
844	Dic₅₉	—	4	1	no	—
845	Dic₅₉	—	4	1	no	—
846	#3475	—	59	1	no	—
847	#3475	D₅₉	1	1	yes	characteristic, complemented
848	#3402	—	59	1	no	—
849	#3389	—	59	1	no	—
850	#3376	—	59	1	no	—
851	#3376	—	59	1	no	—
852	#3352	—	59	1	no	—
853	#3348	—	59	1	no	—
854	#3348	—	59	1	no	—
855	#3323	—	59	1	no	—
856	#3323	—	59	1	no	—
857	#3319	—	59	1	no	—
858	#3319	—	59	1	no	—
859	#3315	—	59	1	no	—
860	#3315	—	59	1	no	—
861	#3273	—	59	1	no	—
862	#3267	—	59	1	no	—
863	#3267	—	59	1	no	—
864	#3172	—	59	1	no	—
865	#3172	—	59	1	no	—
866	#3168	—	59	1	no	—
867	#3107	—	59	1	no	—
868	#3107	—	59	1	no	—
869	#3105	—	59	1	no	—
870	#3105	—	59	1	no	—
871	#3102	—	59	1	no	—
872	#3102	—	59	1	no	—
873	#2965	—	59	1	no	—
874	C₄×AGL(1,ℤ/8)	—	59	1	no	—
875	C₄×AGL(1,ℤ/8)	—	59	1	no	—
876	C₄×#135	—	59	1	no	—
877	C₂×C₅₉	—	4	1	no	—
878	C₂×C₅₉	—	4	1	no	—
879	C₂×C₅₉	—	4	1	no	—
880	C₂×C₅₉	—	4	2	no	—
881	C₂×C₅₉	—	8	1	no	—
882	C₂×C₅₉	D₄×#41	1	1	yes	characteristic
883	C₂×C₅₉	C₂×#575	1	1	yes	characteristic
884	C₂×C₅₉	#3584	1	1	yes	characteristic
885	D₅₉	—	4	2	no	—
886	D₅₉	—	8	1	no	—
887	C₂×AGL(1,ℤ/8)	—	59	1	no	—
888	C₂×AGL(1,ℤ/8)	—	59	1	no	—
889	C₂×#135	—	59	1	no	—
890	#556	—	59	1	no	—
891	#556	C₂×D₅₉	1	1	yes	characteristic, complemented
892	#555	—	59	1	no	—
893	#555	C₂×D₅₉	1	1	yes	characteristic
894	#554	—	59	1	no	—
895	#554	C₂×D₅₉	1	1	yes	characteristic, complemented
896	#553	—	2	1	no	—
897	#553	—	118	1	no	—
898	#552	—	2	1	no	—
899	#552	—	59	1	no	—
900	#552	—	59	1	no	—
901	#552	—	118	1	no	—
902	#552	C₂×D₅₉	1	1	yes	characteristic
903	#552	C₂×D₅₉	1	1	yes	characteristic, complemented
904	#551	—	2	1	no	—
905	#551	—	2	1	no	—
906	#551	—	118	1	no	—
907	#551	—	118	1	no	—
908	#547	—	59	1	no	—
909	#547	C₂×D₅₉	1	1	yes	characteristic
910	#546	—	59	1	no	—
911	#546	—	59	1	no	—
912	#546	C₂×D₅₉	1	1	yes	characteristic
913	#546	C₂×D₅₉	1	1	yes	characteristic, complemented
914	#533	—	59	1	no	—
915	#533	C₂×D₅₉	1	1	yes	characteristic, complemented
916	#529	—	2	1	no	—
917	#529	—	2	1	no	—
918	#529	—	59	1	no	—
919	#529	—	59	1	no	—
920	#529	—	118	1	no	—
921	#529	—	118	1	no	—
922	#529	C₂×D₅₉	1	1	yes	characteristic
923	#529	C₂×D₅₉	1	1	yes	characteristic, complemented
924	#525	—	2	1	no	—
925	#525	—	118	1	no	—
926	C₄×#41	—	59	1	no	—
927	C₄×#41	—	59	1	no	—
928	C₄×#41	C₂×D₅₉	1	1	yes	characteristic
929	C₄×#41	C₂×D₅₉	1	1	yes	characteristic
930	C₄×#41	C₂×D₅₉	1	1	yes	characteristic, complemented
931	C₂×C₄×D₄	—	59	1	no	—
932	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic, complemented
933	C₂×#117	—	2	1	no	—
934	C₂×#117	—	118	1	no	—
935	#501	—	59	1	no	—
936	#501	—	59	1	no	—
937	#499	—	59	1	no	—
938	#497	—	59	1	no	—
939	#497	—	59	1	no	—
940	#495	—	59	1	no	—
941	#491	—	59	1	no	—
942	#491	—	59	1	no	—
943	#489	—	59	1	no	—
944	#489	—	59	1	no	—
945	#488	—	59	1	no	—
946	#488	—	59	1	no	—
947	#485	—	59	1	no	—
948	#485	—	59	1	no	—
949	#485	—	59	1	no	—
950	#485	—	59	1	no	—
951	#485	—	59	1	no	—
952	#485	—	59	1	no	—
953	#484	—	59	1	no	—
954	#484	—	59	1	no	—
955	#482	—	59	1	no	—
956	#482	—	59	1	no	—
957	#481	—	59	1	no	—
958	#481	—	59	1	no	—
959	#479	—	59	1	no	—
960	#479	—	59	1	no	—
961	#478	—	59	1	no	—
962	#478	—	59	1	no	—
963	#478	—	59	1	no	—
964	#478	—	59	1	no	—
965	#478	—	59	1	no	—
966	#478	—	59	1	no	—
967	#475	—	59	1	no	—
968	#475	—	59	1	no	—
969	#474	—	59	1	no	—
970	#474	—	59	1	no	—
971	#470	—	59	1	no	—
972	#470	—	59	1	no	—
973	#470	—	59	1	no	—
974	#470	—	59	1	no	—
975	#468	—	59	1	no	—
976	#468	—	59	1	no	—
977	#468	—	59	1	no	—
978	#468	—	59	1	no	—
979	#467	—	59	1	no	—
980	#466	—	59	1	no	—
981	#465	—	59	1	no	—
982	#465	—	59	1	no	—
983	#464	—	59	1	no	—
984	#464	—	59	1	no	—
985	#463	—	59	1	no	—
986	#463	—	59	1	no	—
987	#463	—	59	1	no	—
988	#463	—	59	1	no	—
989	#463	—	59	1	no	—
990	#463	—	59	1	no	—
991	#462	—	59	1	no	—
992	#462	—	59	1	no	—
993	#461	—	59	1	no	—
994	#461	—	59	1	no	—
995	#452	—	59	1	no	—
996	#452	—	59	1	no	—
997	#452	—	59	1	no	—
998	#452	—	59	1	no	—
999	#452	—	59	1	no	—
1000	#452	—	59	1	no	—
1001	#450	—	59	1	no	—
1002	#450	—	59	1	no	—
1003	#449	—	59	1	no	—
1004	#449	—	59	1	no	—
1005	#447	—	59	1	no	—
1006	#447	—	59	1	no	—
1007	#446	—	59	1	no	—
1008	#446	—	59	1	no	—
1009	#442	—	59	1	no	—
1010	#442	—	59	1	no	—
1011	#442	—	59	1	no	—
1012	#442	—	59	1	no	—
1013	#440	—	59	1	no	—
1014	#440	—	59	1	no	—
1015	#440	—	59	1	no	—
1016	#440	—	59	1	no	—
1017	C₄×Q₁₆	—	59	1	no	—
1018	C₄×Q₁₆	—	59	1	no	—
1019	C₄×Q₁₆	—	59	1	no	—
1020	C₄×Q₁₆	—	59	1	no	—
1021	C₄×Q₁₆	—	59	1	no	—
1022	C₄×SD₁₆	—	59	1	no	—
1023	C₄×SD₁₆	—	59	1	no	—
1024	C₄×SD₁₆	—	59	1	no	—
1025	C₄×SD₁₆	—	59	1	no	—
1026	C₄×SD₁₆	—	59	1	no	—
1027	C₄×SD₁₆	—	59	1	no	—
1028	C₄×SD₁₆	—	59	1	no	—
1029	C₄×SD₁₆	—	59	1	no	—
1030	C₄×SD₁₆	—	59	1	no	—
1031	C₄×SD₁₆	—	59	1	no	—
1032	C₄×D₈	—	59	1	no	—
1033	C₄×D₈	—	59	1	no	—
1034	C₄×D₈	—	59	1	no	—
1035	C₄×D₈	—	59	1	no	—
1036	C₄×D₈	—	59	1	no	—
1037	#436	—	59	1	no	—
1038	#436	—	59	1	no	—
1039	#435	—	59	1	no	—
1040	#435	—	59	1	no	—
1041	#435	—	59	1	no	—
1042	#435	—	59	1	no	—
1043	#431	—	59	1	no	—
1044	#431	—	59	1	no	—
1045	#431	—	59	1	no	—
1046	#428	—	59	1	no	—
1047	#428	—	59	1	no	—
1048	#427	—	59	1	no	—
1049	#418	—	59	1	no	—
1050	#418	—	59	1	no	—
1051	#417	—	59	1	no	—
1052	#417	—	59	1	no	—
1053	#416	—	59	1	no	—
1054	#416	—	59	1	no	—
1055	C₄×M₁₆	—	59	1	no	—
1056	C₄×M₁₆	—	59	1	no	—
1057	C₂×C₄×C₈	—	59	1	no	—
1058	C₅₉	#61442	1	1	yes	characteristic, complemented, Sylow
1059	C₂×#41	—	59	1	no	—
1060	C₂×#41	—	59	1	no	—
1061	C₂×#41	C₂²⋊D₅₉	1	1	yes	characteristic
1062	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1063	C₂×#41	C₂²×D₅₉	1	1	yes	characteristic
1064	C₂²×D₄	—	59	1	no	—
1065	C₂²×D₄	C₂²×D₅₉	1	1	yes	characteristic
1066	C₂³×C₄	—	2	1	no	—
1067	C₂³×C₄	—	118	1	no	—
1068	AGL(1,ℤ/8)	—	118	4	no	—
1069	AGL(1,ℤ/8)	—	118	4	no	—
1070	#135	—	118	4	no	—
1071	C₂×Q₁₆	—	59	1	no	—
1072	C₂×Q₁₆	—	59	1	no	—
1073	C₂×Q₁₆	—	59	1	no	—
1074	C₂×Q₁₆	—	59	1	no	—
1075	C₂×SD₁₆	—	59	1	no	—
1076	C₂×SD₁₆	—	59	1	no	—
1077	C₂×SD₁₆	—	59	1	no	—
1078	C₂×SD₁₆	—	59	1	no	—
1079	C₂×SD₁₆	—	59	1	no	—
1080	C₂×SD₁₆	—	59	1	no	—
1081	C₂×SD₁₆	—	59	1	no	—
1082	C₂×SD₁₆	—	59	1	no	—
1083	C₂×D₈	—	59	1	no	—
1084	C₂×D₈	—	59	1	no	—
1085	C₂×D₈	—	59	1	no	—
1086	C₂×D₈	—	59	1	no	—
1087	C₂×M₁₆	—	59	1	no	—
1088	C₂×M₁₆	—	59	1	no	—
1089	C₂×M₁₆	—	59	1	no	—
1090	C₂×M₁₆	—	59	1	no	—
1091	C₂²×C₈	—	59	1	no	—
1092	C₂²×C₈	—	59	1	no	—
1093	C₄⋊Q₈	—	59	1	no	—
1094	C₄⋊Q₈	—	59	1	no	—
1095	C₄⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1096	C₄⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	118	1	no	—
1104	#126	—	118	1	no	—
1105	#126	—	118	1	no	—
1106	#126	—	118	1	no	—
1107	#126	—	118	1	no	—
1108	#126	—	118	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	59	1	no	—
1113	#125	—	59	1	no	—
1114	#125	—	118	1	no	—
1115	#125	—	118	1	no	—
1116	#125	—	118	1	no	—
1117	#125	C₂²×D₅₉	1	1	yes	characteristic
1118	#125	C₂²×D₅₉	1	1	yes	characteristic
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	59	1	no	—
1122	#124	—	59	1	no	—
1123	#124	—	118	1	no	—
1124	#124	—	118	1	no	—
1125	#124	C₂²×D₅₉	1	1	yes	characteristic
1126	#124	C₂²×D₅₉	1	1	yes	characteristic
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	118	1	no	—
1136	#123	—	118	1	no	—
1137	#123	—	118	1	no	—
1138	#123	—	118	1	no	—
1139	#123	—	118	1	no	—
1140	#123	—	118	1	no	—
1141	#123	—	118	1	no	—
1142	#123	—	118	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	59	1	no	—
1149	C₂²⋊Q₈	—	59	1	no	—
1150	C₂²⋊Q₈	—	59	1	no	—
1151	C₂²⋊Q₈	—	59	1	no	—
1152	C₂²⋊Q₈	—	118	1	no	—
1153	C₂²⋊Q₈	—	118	1	no	—
1154	C₂²⋊Q₈	—	118	1	no	—
1155	C₂²⋊Q₈	—	118	1	no	—
1156	C₂²⋊Q₈	—	118	1	no	—
1157	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂²×D₅₉	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	59	1	no	—
1166	#121	—	59	1	no	—
1167	#121	—	118	1	no	—
1168	#121	—	118	1	no	—
1169	#121	—	118	1	no	—
1170	#121	—	118	1	no	—
1171	#121	C₂²×D₅₉	1	1	yes	characteristic
1172	#121	C₂²×D₅₉	1	1	yes	characteristic
1173	#120	—	2	1	no	—
1174	#120	—	2	1	no	—
1175	#120	—	118	1	no	—
1176	#120	—	118	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	59	1	no	—
1179	C₄×Q₈	—	59	1	no	—
1180	C₄×Q₈	—	59	1	no	—
1181	C₄×Q₈	—	59	1	no	—
1182	C₄×Q₈	—	118	1	no	—
1183	C₄×Q₈	C₂²⋊D₅₉	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1185	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1186	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1187	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1188	C₄×Q₈	C₂²×D₅₉	1	1	yes	characteristic
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	59	1	no	—
1198	C₄×D₄	—	59	1	no	—
1199	C₄×D₄	—	59	1	no	—
1200	C₄×D₄	—	59	1	no	—
1201	C₄×D₄	—	59	1	no	—
1202	C₄×D₄	—	59	1	no	—
1203	C₄×D₄	—	118	1	no	—
1204	C₄×D₄	—	118	1	no	—
1205	C₄×D₄	—	118	1	no	—
1206	C₄×D₄	—	118	1	no	—
1207	C₄×D₄	—	118	1	no	—
1208	C₄×D₄	—	118	1	no	—
1209	C₄×D₄	—	118	1	no	—
1210	C₄×D₄	—	118	1	no	—
1211	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1212	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1213	C₄×D₄	C₂²⋊D₅₉	1	1	yes	characteristic
1214	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1215	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1216	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1217	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1218	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1219	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1222	C₄×D₄	C₂²×D₅₉	1	1	yes	characteristic
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	59	1	no	—
1233	#117	—	59	1	no	—
1234	#117	—	118	1	no	—
1235	#117	—	118	1	no	—
1236	#117	—	118	1	no	—
1237	#117	—	118	1	no	—
1238	#117	—	118	1	no	—
1239	#117	—	118	1	no	—
1240	#117	—	118	1	no	—
1241	#117	—	118	1	no	—
1242	#117	—	118	1	no	—
1243	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1244	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1245	#117	C₂²⋊D₅₉	1	1	yes	characteristic
1246	#117	C₂²×D₅₉	1	1	yes	characteristic
1247	#117	C₂²×D₅₉	1	1	yes	characteristic
1248	C₂×C₄⋊C₄	—	2	1	no	—
1249	C₂×C₄⋊C₄	—	2	1	no	—
1250	C₂×C₄⋊C₄	—	59	1	no	—
1251	C₂×C₄⋊C₄	—	118	1	no	—
1252	C₂×C₄⋊C₄	—	118	1	no	—
1253	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₂²⋊C₄	—	118	1	no	—
1258	C₂×C₂²⋊C₄	—	118	1	no	—
1259	C₂×C₂²⋊C₄	—	118	1	no	—
1260	C₂×C₄²	—	2	1	no	—
1261	C₂×C₄²	—	2	1	no	—
1262	C₂×C₄²	—	118	1	no	—
1263	C₂×C₄²	—	118	1	no	—
1264	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1265	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1266	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1267	#107	—	59	1	no	—
1268	#107	—	59	1	no	—
1269	#107	—	59	1	no	—
1270	#107	—	59	1	no	—
1271	#107	—	59	1	no	—
1272	#107	—	59	1	no	—
1273	#107	—	59	1	no	—
1274	#107	—	59	1	no	—
1275	#106	—	59	1	no	—
1276	#106	—	59	1	no	—
1277	#106	—	59	1	no	—
1278	#106	—	59	1	no	—
1279	#106	—	59	1	no	—
1280	#106	—	59	1	no	—
1281	#106	—	59	1	no	—
1282	#106	—	59	1	no	—
1283	C₄⋊C₈	—	59	1	no	—
1284	C₄⋊C₈	—	59	1	no	—
1285	C₄⋊C₈	—	59	1	no	—
1286	C₄⋊C₈	—	59	1	no	—
1287	C₄⋊C₈	—	59	1	no	—
1288	C₄⋊C₈	—	59	1	no	—
1289	#103	—	59	1	no	—
1290	#103	—	59	1	no	—
1291	#103	—	59	1	no	—
1292	#103	—	59	1	no	—
1293	#103	—	59	1	no	—
1294	#103	—	59	1	no	—
1295	#103	—	59	1	no	—
1296	#103	—	59	1	no	—
1297	#103	—	59	1	no	—
1298	#103	—	59	1	no	—
1299	#103	—	59	1	no	—
1300	#103	—	59	1	no	—
1301	#103	—	59	1	no	—
1302	#103	—	59	1	no	—
1303	#103	—	59	1	no	—
1304	#103	—	59	1	no	—
1305	#102	—	59	1	no	—
1306	#102	—	59	1	no	—
1307	#102	—	59	1	no	—
1308	#102	—	59	1	no	—
1309	#102	—	59	1	no	—
1310	#102	—	59	1	no	—
1311	#102	—	59	1	no	—
1312	#102	—	59	1	no	—
1313	#102	—	59	1	no	—
1314	#102	—	59	1	no	—
1315	#102	—	59	1	no	—
1316	#102	—	59	1	no	—
1317	#102	—	59	1	no	—
1318	#102	—	59	1	no	—
1319	#102	—	59	1	no	—
1320	#102	—	59	1	no	—
1321	C₂²⋊C₈	—	59	1	no	—
1322	C₂²⋊C₈	—	59	1	no	—
1323	C₂²⋊C₈	—	59	1	no	—
1324	C₂²⋊C₈	—	59	1	no	—
1325	C₂²⋊C₈	—	59	1	no	—
1326	C₂²⋊C₈	—	59	1	no	—
1327	#97	—	59	1	no	—
1328	#97	—	59	1	no	—
1329	#97	—	59	1	no	—
1330	#97	—	59	1	no	—
1331	C₄×C₈	—	59	1	no	—
1332	C₄×C₈	—	59	1	no	—
1333	C₄×C₈	—	59	1	no	—
1334	C₄×C₈	—	59	1	no	—
1335	C₄×C₈	—	59	1	no	—
1336	C₄×C₈	—	59	1	no	—
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	118	1	no	—
1339	#41	—	2	2	no	—
1340	#41	—	2	2	no	—
1341	#41	—	4	2	no	—
1342	#41	—	4	1	no	—
1343	#41	—	4	1	no	—
1344	#41	—	118	2	no	—
1345	#41	—	118	2	no	—
1346	#41	—	236	1	no	—
1347	#41	—	236	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	59	1	no	—
1350	C₂×Q₈	—	59	1	no	—
1351	C₂×Q₈	—	118	1	no	—
1352	C₂×Q₈	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₅₉	1	1	yes	characteristic
1355	C₂×D₄	—	2	2	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	59	1	no	—
1363	C₂×D₄	—	59	1	no	—
1364	C₂×D₄	—	118	2	no	—
1365	C₂×D₄	—	118	1	no	—
1366	C₂×D₄	—	118	1	no	—
1367	C₂×D₄	—	118	1	no	—
1368	C₂×D₄	—	118	1	no	—
1369	C₂×D₄	—	118	1	no	—
1370	C₂×D₄	—	236	1	no	—
1371	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1372	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1373	C₂×D₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1374	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1375	C₂×D₄	C₂³×D₅₉	1	1	yes	characteristic
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	4	4	no	—
1386	C₂²×C₄	—	118	1	no	—
1387	C₂²×C₄	—	118	1	no	—
1388	C₂²×C₄	—	118	1	no	—
1389	C₂²×C₄	—	118	1	no	—
1390	C₂²×C₄	—	118	1	no	—
1391	C₂²×C₄	—	118	1	no	—
1392	C₂²×C₄	—	118	1	no	—
1393	C₂²×C₄	—	118	1	no	—
1394	C₂²×C₄	—	118	1	no	—
1395	C₂²×C₄	—	236	4	no	—
1396	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1397	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1398	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1399	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1400	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1401	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1405	Q₁₆	—	118	2	no	—
1406	Q₁₆	—	236	1	no	—
1407	Q₁₆	—	236	1	no	—
1408	Q₁₆	—	236	1	no	—
1409	SD₁₆	—	118	2	no	—
1410	SD₁₆	—	118	2	no	—
1411	SD₁₆	—	118	2	no	—
1412	SD₁₆	—	118	2	no	—
1413	SD₁₆	—	118	2	no	—
1414	SD₁₆	—	118	2	no	—
1415	SD₁₆	—	236	1	no	—
1416	SD₁₆	—	236	1	no	—
1417	D₈	—	59	4	no	—
1418	D₈	—	118	2	no	—
1419	D₈	—	118	2	no	—
1420	D₈	—	236	1	no	—
1421	M₁₆	—	118	2	no	—
1422	M₁₆	—	118	2	no	—
1423	M₁₆	—	236	1	no	—
1424	M₁₆	—	236	1	no	—
1425	C₂×C₈	—	59	1	no	—
1426	C₂×C₈	—	59	1	no	—
1427	C₂×C₈	—	59	1	no	—
1428	C₂×C₈	—	59	1	no	—
1429	C₂×C₈	—	59	1	no	—
1430	C₂×C₈	—	59	1	no	—
1431	C₂×C₈	—	59	1	no	—
1432	C₂×C₈	—	59	1	no	—
1433	C₂×C₈	—	118	2	no	—
1434	C₂×C₈	—	236	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	59	1	no	—
1452	C₄⋊C₄	—	59	1	no	—
1453	C₄⋊C₄	—	59	1	no	—
1454	C₄⋊C₄	—	59	1	no	—
1455	C₄⋊C₄	—	118	1	no	—
1456	C₄⋊C₄	—	118	1	no	—
1457	C₄⋊C₄	—	118	1	no	—
1458	C₄⋊C₄	—	118	1	no	—
1459	C₄⋊C₄	—	118	1	no	—
1460	C₄⋊C₄	—	118	1	no	—
1461	C₄⋊C₄	—	118	1	no	—
1462	C₄⋊C₄	—	118	1	no	—
1463	C₄⋊C₄	—	118	1	no	—
1464	C₄⋊C₄	—	118	1	no	—
1465	C₄⋊C₄	—	118	1	no	—
1466	C₄⋊C₄	—	118	1	no	—
1467	C₄⋊C₄	—	118	1	no	—
1468	C₄⋊C₄	—	118	1	no	—
1469	C₄⋊C₄	—	118	1	no	—
1470	C₄⋊C₄	—	118	1	no	—
1471	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1478	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1479	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1480	C₄⋊C₄	C₂³×D₅₉	1	1	yes	characteristic
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	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	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	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	—	118	1	no	—
1505	C₂²⋊C₄	—	118	1	no	—
1506	C₂²⋊C₄	—	118	1	no	—
1507	C₂²⋊C₄	—	118	1	no	—
1508	C₂²⋊C₄	—	118	1	no	—
1509	C₂²⋊C₄	—	118	1	no	—
1510	C₂²⋊C₄	—	118	1	no	—
1511	C₂²⋊C₄	—	118	1	no	—
1512	C₂²⋊C₄	—	118	1	no	—
1513	C₂²⋊C₄	—	118	1	no	—
1514	C₂²⋊C₄	—	118	1	no	—
1515	C₂²⋊C₄	—	118	1	no	—
1516	C₂²⋊C₄	—	118	1	no	—
1517	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	118	1	no	—
1530	C₄²	—	118	1	no	—
1531	C₄²	—	118	1	no	—
1532	C₄²	—	118	1	no	—
1533	C₄²	—	118	1	no	—
1534	C₄²	—	118	1	no	—
1535	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1536	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1537	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1538	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1539	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1540	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
1541	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1542	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1543	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1544	C₄²	C₂³×D₅₉	1	1	yes	characteristic
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	118	1	no	—
1551	C₂³	—	118	1	no	—
1552	C₂³	—	472	1	no	—
1553	C₂³	—	236	2	no	—
1554	C₂³	—	236	2	no	—
1555	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1556	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1557	C₂³	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	4	1	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	—	118	1	no	—
1565	Q₈	—	118	1	no	—
1566	Q₈	—	118	1	no	—
1567	Q₈	—	118	1	no	—
1568	Q₈	—	472	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	2	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	59	2	no	—
1581	D₄	—	118	1	no	—
1582	D₄	—	118	1	no	—
1583	D₄	—	118	1	no	—
1584	D₄	—	472	1	no	—
1585	D₄	—	472	1	no	—
1586	D₄	—	236	2	no	—
1587	D₄	—	236	2	no	—
1588	D₄	—	236	2	no	—
1589	D₄	#41×D₅₉	1	2	yes	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	4	1	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	118	1	no	—
1618	C₂×C₄	—	118	1	no	—
1619	C₂×C₄	—	118	1	no	—
1620	C₂×C₄	—	118	1	no	—
1621	C₂×C₄	—	118	1	no	—
1622	C₂×C₄	—	118	1	no	—
1623	C₂×C₄	—	472	1	no	—
1624	C₂×C₄	—	472	1	no	—
1625	C₂×C₄	—	236	2	no	—
1626	C₂×C₄	—	236	2	no	—
1627	C₂×C₄	—	236	2	no	—
1628	C₂×C₄	—	236	2	no	—
1629	C₂×C₄	—	236	2	no	—
1630	C₂×C₄	—	236	2	no	—
1631	C₂×C₄	—	236	2	no	—
1632	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₅₉	1	1	yes	characteristic
1644	C₈	—	59	2	no	—
1645	C₈	—	118	1	no	—
1646	C₈	—	118	1	no	—
1647	C₈	—	118	1	no	—
1648	C₈	—	118	1	no	—
1649	C₈	—	118	1	no	—
1650	C₈	—	118	1	no	—
1651	C₈	—	118	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	2	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	8	4	no	—
1668	C₂²	—	118	2	no	—
1669	C₂²	—	472	4	no	—
1670	C₂²	—	236	1	no	—
1671	C₂²	—	236	1	no	—
1672	C₂²	—	236	1	no	—
1673	C₂²	—	236	1	no	—
1674	C₂²	—	236	1	no	—
1675	C₂²	C₂³×C₂²⋊D₅₉	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	236	1	no	—
1693	C₄	—	236	1	no	—
1694	C₄	—	236	1	no	—
1695	C₄	—	236	1	no	—
1696	C₄	—	236	1	no	—
1697	C₄	—	236	1	no	—
1698	C₄	#16838200	1	2	yes	—
1699	C₄	C₂×#41×D₅₉	1	1	yes	characteristic
1700	C₄	#16838238	1	1	yes	characteristic
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	472	1	no	—
1707	C₂	—	236	2	no	—
1708	C₂	#41×C₂²⋊D₅₉	1	1	yes	characteristic
1709	C₂	C₂×#16838200	1	1	yes	characteristic
1710	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	C₅₉×#3475	C₂
socle	C₂²×C₅₉	C₂³×D₄
hypercenter	#3475	D₅₉
hypocenter	C₅₉	#61442
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3475

Complements

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

N	H ≅ G/N	type
1. #21437660	C₂	semidirect
2. #21437171	C₂	semidirect
3. #21437050	C₂	semidirect
4. #21436923	C₂	semidirect
5. #21436917	C₂	semidirect
6. #21436665	C₂	semidirect
7. #21436611	C₂	semidirect
8. #21436605	C₂	semidirect
9. #21436312	C₂	semidirect
10. #21436306	C₂	semidirect
11. #21436252	C₂	semidirect
12. #21436246	C₂	semidirect
13. #21436192	C₂	semidirect
14. #21436186	C₂	semidirect
15. #21435703	C₂	semidirect
16. #21435622	C₂	semidirect
17. #21435617	C₂	semidirect
18. #21434703	C₂	semidirect
19. #21434696	C₂	semidirect
20. #21434660	C₂	semidirect
21. #21434167	C₂	semidirect
22. #21434161	C₂	semidirect
23. #21434143	C₂	semidirect
24. #21434139	C₂	semidirect
25. #21434114	C₂	semidirect
26. #21434108	C₂	semidirect
27. #21433063	C₂	semidirect
28. C₄×#14273753	C₂	semidirect
29. C₄×#14273752	C₂	semidirect
30. C₄×#14273747	C₂	semidirect
31. C₅₉×#3475	C₂	semidirect
35. #16838125	C₂²	semidirect
37. #16838112	C₂²	semidirect
41. #16838092	C₂²	semidirect
46. #16838048	C₂²	semidirect
47. #16837959	C₂²	semidirect
49. #16837936	C₂²	semidirect
54. C₄×#11745685	C₂²	semidirect
55. C₂×C₄×D₂₃₆	C₂²	semidirect
57. #16837812	C₂²	semidirect
58. #16837808	C₂²	semidirect
59. #16837801	C₂²	semidirect
60. #16837797	C₂²	semidirect
61. #16837794	C₂²	semidirect
63. #16837772	C₂²	semidirect
64. #16837770	C₂²	semidirect
65. #16837764	C₂²	semidirect
66. #16837761	C₂²	semidirect
67. #16837759	C₂²	semidirect
68. #16837756	C₂²	semidirect
69. #16837743	C₂²	semidirect
70. #16837743	C₂²	semidirect
71. #16837743	C₂²	semidirect
72. #16837740	C₂²	semidirect
73. #16837740	C₂²	semidirect
74. #16837740	C₂²	semidirect
75. #16837737	C₂²	semidirect
76. #16837735	C₂²	semidirect
77. #16837726	C₂²	semidirect
78. #16837723	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. #16837687	C₂²	semidirect
90. #16837684	C₂²	semidirect
91. #16837682	C₂²	semidirect
92. #16837679	C₂²	semidirect
93. #16837658	C₂²	semidirect
94. #16837658	C₂²	semidirect
95. #16837658	C₂²	semidirect
96. #16837658	C₂²	semidirect
101. #16837641	C₂²	semidirect
103. #16837633	C₂²	semidirect
104. #16837629	C₂²	semidirect
105. #16837624	C₂²	semidirect
106. #16837621	C₂²	semidirect
113. #16837612	C₂²	semidirect
114. #16837609	C₂²	semidirect
115. #16837607	C₂²	semidirect
116. #16837604	C₂²	semidirect
119. #16837564	C₂²	semidirect
122. #16837562	C₂²	semidirect
123. #16837553	C₂²	semidirect
124. #16837552	C₂²	semidirect
129. #16837533	C₂²	semidirect
130. #16837533	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×#11745672	C₂²	semidirect
141. C₄×#11745672	C₂²	semidirect
142. C₄×#11745672	C₂²	semidirect
143. C₄×#11745672	C₂²	semidirect
144. C₄×#11745671	C₂²	semidirect
145. C₄×#11745671	C₂²	semidirect
146. C₄×#11745671	C₂²	semidirect
147. C₄×#11745671	C₂²	semidirect
148. C₄×#11745671	C₂²	semidirect
149. C₄×#11745670	C₂²	semidirect
150. C₄×#11745670	C₂²	semidirect
151. C₄×#11745670	C₂²	semidirect
152. C₄×#11745670	C₂²	semidirect
153. C₄×#11745670	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. #16837438	C₂²	semidirect
171. #16837407	C₂²	semidirect
172. #16837406	C₂²	semidirect
175. #16837398	C₂²	semidirect
176. #16837396	C₂²	semidirect
177. C₄×#11745664	C₂²	semidirect
178. C₄×#11745664	C₂²	semidirect
179. C₂×C₄×C₅₉⋊C₈	C₂²	semidirect
180. C₅₉×#556	C₂²	semidirect
182. C₅₉×#554	C₂²	semidirect
186. C₅₉×#552	C₂²	semidirect
191. C₅₉×#546	C₂²	semidirect
192. C₅₉×#533	C₂²	semidirect
196. C₅₉×#529	C₂²	semidirect
200. C₄×#41×C₅₉	C₂²	semidirect
201. C₂×C₄×D₄×C₅₉	C₂²	semidirect
636. #11745669	#41	semidirect
847. #3475	D₅₉	semidirect
891. #556	C₂×D₅₉	semidirect
895. #554	C₂×D₅₉	semidirect
903. #552	C₂×D₅₉	semidirect
913. #546	C₂×D₅₉	semidirect
915. #533	C₂×D₅₉	semidirect
923. #529	C₂×D₅₉	semidirect
930. C₄×#41	C₂×D₅₉	semidirect
932. C₂×C₄×D₄	C₂×D₅₉	semidirect
1058. C₅₉	#61442	semidirect

Maximal subgroups

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

subgroup	index
#21437660	2
#21437171	2
#21437050	2
#21436923	2
#21436917	2
#21436665	2
#21436611	2
#21436605	2
#21436312	2
#21436306	2
#21436252	2
#21436246	2
#21436192	2
#21436186	2
#21435703	2
#21435622	2
#21435617	2
#21434703	2
#21434696	2
#21434660	2
#21434167	2
#21434161	2
#21434143	2
#21434139	2
#21434114	2
#21434108	2
#21433063	2
C₄×#14273753	2
C₄×#14273752	2
C₄×#14273747	2
C₅₉×#3475	2
#61442	59