Subgroups — #16738488

Order 3328.

2682 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719484	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719478	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128515	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128507	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126484	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126483	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126479	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126476	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126474	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126467	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126466	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126404	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126402	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126401	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126399	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126359	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126357	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126356	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126354	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125326	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124496	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#470	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124389	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124387	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124149	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124146	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124093	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124091	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123714	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123536	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×#88254	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#6129	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
38	C₁₃×#548	C₂²	1	1	yes	characteristic
39	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic
41	#11719529	C₂²	1	1	yes	characteristic
42	C₂×#88205	C₂²	1	1	yes	characteristic
43	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
44	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
46	#11719511	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88186	C₂²	1	1	yes	characteristic
48	#11719484	—	2	8	no	—
49	#11719478	—	2	8	no	—
50	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
52	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88170	C₂²	1	1	yes	characteristic
55	C₂×#88170	C₂²	1	1	yes	characteristic
56	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88169	C₂²	1	1	yes	characteristic
58	C₂×#88169	C₂²	1	1	yes	characteristic
59	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88166	C₂²	1	1	yes	characteristic
64	C₂×#88166	C₂²	1	1	yes	characteristic
65	C₂×#88165	C₂²	1	1	yes	characteristic
66	C₂×#88165	C₂²	1	1	yes	characteristic
67	C₂×#88163	C₂²	1	1	yes	characteristic
68	C₂×#88163	C₂²	1	1	yes	characteristic, complemented
69	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
70	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
71	#11719382	C₂²	1	1	yes	characteristic
72	#11719381	—	2	1	no	—
73	#11719381	C₂²	1	1	yes	characteristic, complemented
74	#11719380	—	2	1	no	—
75	#11719380	C₂²	1	1	yes	characteristic, complemented
76	#11719380	C₂²	1	1	yes	characteristic, complemented
77	#11719360	—	2	1	no	—
78	#11719353	—	2	1	no	—
79	#11719337	C₂²	1	1	yes	characteristic, complemented
80	#11719336	—	2	1	no	—
81	#11719336	C₂²	1	1	yes	characteristic
82	D₁₃×C₂²⋊Q₈	—	2	1	no	—
83	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	#11719317	—	2	1	no	—
86	#11719317	C₂²	1	1	yes	characteristic, complemented
87	#11719316	—	2	1	no	—
88	#11719313	—	2	1	no	—
89	#11719313	C₂²	1	1	yes	characteristic, complemented
90	#11719313	C₂²	1	1	yes	characteristic, complemented
91	#11719303	C₂²	1	1	yes	characteristic
92	#11719302	—	2	1	no	—
93	#11719296	—	2	1	no	—
94	#11719291	—	2	1	no	—
95	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
96	#11719279	C₂²	1	1	yes	characteristic, complemented
97	#11719260	C₂²	1	1	yes	characteristic
98	#11719256	—	2	1	no	—
99	#11719256	C₂²	1	1	yes	characteristic
100	#11719252	—	2	1	no	—
101	#11719252	C₂²	1	1	yes	characteristic
102	#11719251	C₂²	1	1	yes	characteristic, complemented
103	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
104	#11719195	—	2	1	no	—
105	C₂×#88132	—	2	1	no	—
106	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#452	C₂²	1	1	yes	characteristic
112	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
117	#11718900	C₂²	1	1	yes	characteristic
118	#11718900	C₂²	1	1	yes	characteristic, complemented
119	#11718889	C₂²	1	1	yes	characteristic, complemented
120	#11718879	C₂²	1	1	yes	characteristic, complemented
121	#11718850	C₂²	1	1	yes	characteristic, complemented
122	#11718847	C₂²	1	1	yes	characteristic, complemented
123	#11718843	C₂²	1	1	yes	characteristic, complemented
124	#11718842	C₂²	1	1	yes	characteristic, complemented
125	#11718834	C₂²	1	1	yes	characteristic
126	#11718834	C₂²	1	1	yes	characteristic
127	#11718833	C₂²	1	1	yes	characteristic, complemented
128	#11718831	C₂²	1	1	yes	characteristic, complemented
129	#11718831	C₂²	1	1	yes	characteristic, complemented
130	#11718830	C₂²	1	1	yes	characteristic, complemented
131	#11718828	C₂²	1	1	yes	characteristic, complemented
132	#11718828	C₂²	1	1	yes	characteristic, complemented
133	#11718827	C₂²	1	1	yes	characteristic, complemented
134	#11718823	C₂²	1	1	yes	characteristic, complemented
135	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
136	#11718820	C₂²	1	1	yes	characteristic, complemented
137	#11718819	C₂²	1	1	yes	characteristic, complemented
138	#11718816	C₂²	1	1	yes	characteristic, complemented
139	#11718814	C₂²	1	1	yes	characteristic, complemented
140	#11718798	C₂²	1	1	yes	characteristic, complemented
141	#11718798	C₂²	1	1	yes	characteristic, complemented
142	#11718789	C₂²	1	1	yes	characteristic, complemented
143	#11718789	C₂²	1	1	yes	characteristic, complemented
144	#11718721	C₂²	1	1	yes	characteristic, complemented
145	#11718721	C₂²	1	1	yes	characteristic, complemented
146	#11718718	C₂²	1	1	yes	characteristic, complemented
147	#11718715	C₂²	1	1	yes	characteristic, complemented
148	#11718713	C₂²	1	1	yes	characteristic, complemented
149	#11718713	C₂²	1	1	yes	characteristic, complemented
150	#11718711	C₂²	1	1	yes	characteristic, complemented
151	#11718708	C₂²	1	1	yes	characteristic
152	#11718702	C₂²	1	1	yes	characteristic, complemented
153	#11718702	C₂²	1	1	yes	characteristic, complemented
154	#11718701	C₂²	1	1	yes	characteristic, complemented
155	#11718698	C₂²	1	1	yes	characteristic, complemented
156	#11718692	C₂²	1	1	yes	characteristic, complemented
157	#11718691	C₂²	1	1	yes	characteristic, complemented
158	#11718680	C₂²	1	1	yes	characteristic, complemented
159	#11718675	C₂²	1	1	yes	characteristic, complemented
160	#11718672	C₂²	1	1	yes	characteristic, complemented
161	#11718529	C₂²	1	1	yes	characteristic, complemented
162	#11718529	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
164	#11718513	C₂²	1	1	yes	characteristic, complemented
165	#11718510	C₂²	1	1	yes	characteristic, complemented
166	#11718502	C₂²	1	1	yes	characteristic, complemented
167	#11718500	C₂²	1	1	yes	characteristic, complemented
168	#11718497	C₂²	1	1	yes	characteristic, complemented
169	#11718479	C₂²	1	1	yes	characteristic, complemented
170	#11718477	C₂²	1	1	yes	characteristic, complemented
171	#11718477	C₂²	1	1	yes	characteristic, complemented
172	#11718471	C₂²	1	1	yes	characteristic, complemented
173	#11718469	C₂²	1	1	yes	characteristic, complemented
174	#11718469	C₂²	1	1	yes	characteristic, complemented
175	#11718469	C₂²	1	1	yes	characteristic, complemented
176	#11718464	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
179	#11718454	C₂²	1	1	yes	characteristic, complemented
180	#11718450	C₂²	1	1	yes	characteristic, complemented
181	#11718448	C₂²	1	1	yes	characteristic, complemented
182	#11718446	C₂²	1	1	yes	characteristic, complemented
183	#11718444	C₂²	1	1	yes	characteristic
184	#11718444	C₂²	1	1	yes	characteristic
185	#11718444	C₂²	1	1	yes	characteristic, complemented
186	#11718439	C₂²	1	1	yes	characteristic, complemented
187	#11718439	C₂²	1	1	yes	characteristic, complemented
188	#11718437	C₂²	1	1	yes	characteristic, complemented
189	#11718432	C₂²	1	1	yes	characteristic, complemented
190	#11718432	C₂²	1	1	yes	characteristic, complemented
191	#11718432	C₂²	1	1	yes	characteristic, complemented
192	#11718428	C₂²	1	1	yes	characteristic, complemented
193	#11718400	C₂²	1	1	yes	characteristic, complemented
194	#11718400	C₂²	1	1	yes	characteristic, complemented
195	#11718394	C₂²	1	1	yes	characteristic
196	#11718394	C₂²	1	1	yes	characteristic, complemented
197	#11718391	C₂²	1	1	yes	characteristic, complemented
198	#11718389	C₂²	1	1	yes	characteristic, complemented
199	#11718388	C₂²	1	1	yes	characteristic, complemented
200	#11718387	C₂²	1	1	yes	characteristic
201	#11718360	C₂²	1	1	yes	characteristic, complemented
202	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
203	#11718350	C₂²	1	1	yes	characteristic, complemented
204	#11718349	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂³×Dic₁₃	—	2	1	no	—
211	#88257	—	2	4	no	—
212	#88257	—	4	2	no	—
213	#41×D₁₃	—	2	4	no	—
214	#41×D₁₃	—	4	2	no	—
215	#88254	—	2	4	no	—
216	#88254	—	4	2	no	—
217	C₂×#6131	—	2	1	no	—
218	C₂×#6131	C₂³	1	1	yes	characteristic
219	C₂×#6131	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	—	2	1	no	—
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6129	—	2	4	no	—
227	C₂×#6129	—	2	1	no	—
228	C₂×#6129	—	2	1	no	—
229	C₂×#6129	—	2	1	no	—
230	C₂×#6129	—	2	1	no	—
231	C₂×#6129	—	2	1	no	—
232	C₂×#6129	—	4	2	no	—
233	C₂×#6129	C₂³	1	1	yes	characteristic
234	C₂×#6129	C₂³	1	1	yes	characteristic
235	C₂×#6129	C₂³	1	1	yes	characteristic
236	C₂×#6129	C₂³	1	1	yes	characteristic
237	C₂×#6129	C₂³	1	1	yes	characteristic
238	C₂×#6129	C₂³	1	1	yes	characteristic
239	C₂×D₄×D₁₃	—	2	1	no	—
240	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
241	C₂×#6127	—	2	1	no	—
242	C₂×#6127	—	2	1	no	—
243	C₂×#6127	—	2	1	no	—
244	C₂×#6127	—	2	1	no	—
245	C₂×#6127	C₂³	1	1	yes	characteristic
246	C₂×#6127	C₂³	1	1	yes	characteristic
247	C₂×#6127	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₁₃	—	2	1	no	—
249	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
250	C₂²×Dic₂₆	—	2	1	no	—
251	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
252	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
253	C₁₃×#137	—	2	4	no	—
254	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
255	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	C₂³	1	1	yes	characteristic
268	C₁₃×#124	C₂³	1	1	yes	characteristic
269	C₁₃×#123	—	2	1	no	—
270	C₁₃×C₂²⋊Q₈	—	2	1	no	—
271	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
273	C₁₃×#121	—	2	1	no	—
274	C₁₃×#121	—	2	1	no	—
275	C₁₃×#121	C₂³	1	1	yes	characteristic
276	C₁₃×#121	C₂³	1	1	yes	characteristic
277	C₁₃×#120	—	2	1	no	—
278	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	—	2	1	no	—
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
283	#88207	—	2	1	no	—
284	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
285	#88205	—	2	4	no	—
286	#88204	—	2	4	no	—
287	#88200	—	2	1	no	—
288	#88200	C₂³	1	1	yes	characteristic
289	#88200	C₂³	1	1	yes	characteristic
290	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
291	#88198	—	2	1	no	—
292	#88198	C₂³	1	1	yes	characteristic
293	#88198	C₂³	1	1	yes	characteristic
294	C₂×#6107	—	2	4	no	—
295	C₂×#6107	C₂³	1	1	yes	characteristic
296	C₂×#6107	C₂³	1	1	yes	characteristic
297	C₂×#6107	C₂³	1	1	yes	characteristic
298	C₂×#6107	C₂³	1	1	yes	characteristic
299	C₂×#6107	C₂³	1	1	yes	characteristic
300	C₂×#6107	C₂³	1	1	yes	characteristic
301	C₂×#6107	C₂³	1	1	yes	characteristic
302	C₂×#6107	C₂³	1	1	yes	characteristic
303	C₂×#6106	C₂³	1	1	yes	characteristic
304	#88193	—	2	1	no	—
305	#88193	—	2	1	no	—
306	#88193	—	2	1	no	—
307	#88193	—	2	1	no	—
308	#88193	—	2	1	no	—
309	#88193	D₄	1	1	yes	characteristic
310	#88192	—	2	1	no	—
311	#88192	—	2	1	no	—
312	#88192	—	2	1	no	—
313	#88192	—	2	1	no	—
314	#88192	—	2	1	no	—
315	#88192	C₂³	1	1	yes	characteristic
316	#88192	C₂³	1	1	yes	characteristic
317	#88191	—	2	1	no	—
318	#88191	D₄	1	1	yes	characteristic
319	#88190	—	2	1	no	—
320	#88190	C₂³	1	1	yes	characteristic
321	#88190	C₂³	1	1	yes	characteristic
322	#88189	—	2	1	no	—
323	#88189	—	2	1	no	—
324	D₄×Dic₁₃	—	2	1	no	—
325	D₄×Dic₁₃	—	2	1	no	—
326	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
327	C₂×#6105	C₂³	1	1	yes	characteristic
328	C₂×#6105	C₂³	1	1	yes	characteristic
329	C₂×#6105	C₂³	1	1	yes	characteristic
330	C₂×#6105	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	#88186	—	2	4	no	—
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	#88184	—	2	1	no	—
338	#88183	—	2	1	no	—
339	C₄×C₂²⋊D₁₃	—	2	1	no	—
340	C₄×C₂²⋊D₁₃	—	2	1	no	—
341	C₄×C₂²⋊D₁₃	—	2	1	no	—
342	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
343	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊Dic₁₃	—	2	1	no	—
345	#88178	—	2	1	no	—
346	#88178	—	2	1	no	—
347	#88178	C₂³	1	1	yes	characteristic
348	#88178	C₂³	1	1	yes	characteristic
349	#88178	C₂³	1	1	yes	characteristic
350	#88178	C₂³	1	1	yes	characteristic
351	C₂×#6101	—	2	1	no	—
352	C₂×#6101	—	2	1	no	—
353	C₂×#6099	C₂³	1	1	yes	characteristic
354	C₂²×#1055	C₂³	1	1	yes	characteristic
355	#88172	—	2	4	no	—
356	#88172	—	2	4	no	—
357	Q₁₆×D₁₃	—	2	4	no	—
358	Q₁₆×D₁₃	—	2	4	no	—
359	#88170	—	2	4	no	—
360	#88170	—	2	4	no	—
361	#88170	D₄	1	8	yes	complemented
362	#88169	—	2	4	no	—
363	#88169	—	2	4	no	—
364	#88169	—	2	4	no	—
365	#88169	—	2	4	no	—
366	#88169	—	4	2	no	—
367	#88169	—	4	2	no	—
368	#88166	—	2	4	no	—
369	#88166	—	2	4	no	—
370	#88165	—	2	4	no	—
371	#88165	—	2	4	no	—
372	#88163	—	2	4	no	—
373	#88163	—	2	4	no	—
374	#88161	—	2	4	no	—
375	M₁₆×D₁₃	—	2	4	no	—
376	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
377	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
378	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
379	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
380	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
381	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
382	C₂×#6095	C₂³	1	1	yes	characteristic
383	C₂×#6095	C₂³	1	1	yes	characteristic
384	C₂×#6095	C₂³	1	1	yes	characteristic
385	C₂×#6094	C₂³	1	1	yes	characteristic
386	C₂×#6094	C₂³	1	1	yes	characteristic
387	C₂×#6094	C₂³	1	1	yes	characteristic
388	C₂×#6094	C₂³	1	1	yes	characteristic
389	C₂×#6094	C₂³	1	1	yes	characteristic
390	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
391	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
392	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
393	#88151	—	2	1	no	—
394	#88151	—	2	1	no	—
395	#88151	C₂³	1	1	yes	characteristic
396	#88151	C₂³	1	1	yes	characteristic
397	#88151	C₂³	1	1	yes	characteristic
398	#88151	C₂³	1	1	yes	characteristic
399	#88150	—	2	1	no	—
400	#88150	—	2	1	no	—
401	#88150	—	2	1	no	—
402	#88150	D₄	1	1	yes	characteristic
403	#88148	—	2	1	no	—
404	#88148	D₄	1	1	yes	characteristic
405	#88147	—	2	1	no	—
406	#88147	C₂³	1	1	yes	characteristic
407	C₄⋊C₄×D₁₃	—	2	1	no	—
408	C₄⋊C₄×D₁₃	—	2	1	no	—
409	C₄⋊C₄×D₁₃	—	2	1	no	—
410	C₄⋊C₄×D₁₃	—	2	1	no	—
411	C₄⋊C₄×D₁₃	—	2	1	no	—
412	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
413	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
414	#88142	—	2	1	no	—
415	#88142	—	2	1	no	—
416	#88141	C₂³	1	1	yes	characteristic
417	#88140	—	2	1	no	—
418	#88140	—	2	1	no	—
419	#88139	—	2	1	no	—
420	#88139	—	2	1	no	—
421	#88138	—	2	1	no	—
422	#88138	—	2	1	no	—
423	#88138	—	2	1	no	—
424	#88138	—	2	1	no	—
425	#88138	—	2	1	no	—
426	#88138	D₄	1	1	yes	characteristic
427	#88137	—	2	1	no	—
428	#88137	—	2	1	no	—
429	#88137	—	2	1	no	—
430	#88137	—	2	1	no	—
431	#88137	—	2	1	no	—
432	#88137	—	2	1	no	—
433	#88137	—	2	1	no	—
434	#88137	—	2	1	no	—
435	#88137	—	2	1	no	—
436	#88137	D₄	1	1	yes	characteristic
437	#88136	—	2	1	no	—
438	#88136	D₄	1	1	yes	characteristic
439	#88135	—	2	1	no	—
440	#88135	—	2	1	no	—
441	#88135	—	2	1	no	—
442	C₂²⋊C₄×D₁₃	—	2	1	no	—
443	C₂²⋊C₄×D₁₃	—	2	1	no	—
444	C₂²⋊C₄×D₁₃	—	2	1	no	—
445	C₂²⋊C₄×D₁₃	—	2	1	no	—
446	#88132	—	2	1	no	—
447	#88132	—	2	1	no	—
448	#88132	—	2	1	no	—
449	#88132	—	2	1	no	—
450	#88132	—	2	1	no	—
451	#88132	—	2	1	no	—
452	#88132	—	2	1	no	—
453	#88132	—	2	1	no	—
454	#88132	—	2	1	no	—
455	#88132	—	2	1	no	—
456	#88132	—	2	1	no	—
457	#88132	—	2	1	no	—
458	#88132	—	2	1	no	—
459	#88132	D₄	1	1	yes	characteristic
460	#88131	—	2	1	no	—
461	C₄×D₅₂	—	2	1	no	—
462	C₄×D₅₂	—	2	1	no	—
463	C₄×D₅₂	C₂³	1	1	yes	characteristic
464	C₄×D₅₂	C₂³	1	1	yes	characteristic
465	#88126	—	2	1	no	—
466	#88126	C₂³	1	1	yes	characteristic
467	#88123	—	2	1	no	—
468	#88123	C₂³	1	1	yes	characteristic
469	#88123	C₂³	1	1	yes	characteristic
470	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
471	C₁₃×#106	C₂³	1	1	yes	characteristic
472	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₃×#103	C₂³	1	1	yes	characteristic
474	C₁₃×#103	C₂³	1	1	yes	characteristic
475	C₁₃×#103	C₂³	1	1	yes	characteristic
476	C₁₃×#102	C₂³	1	1	yes	characteristic
477	C₁₃×#102	C₂³	1	1	yes	characteristic
478	C₁₃×#102	C₂³	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
482	#88075	C₂³	1	1	yes	characteristic
483	#88075	C₂³	1	1	yes	characteristic
484	#88075	C₂³	1	1	yes	characteristic
485	#88072	C₂³	1	1	yes	characteristic
486	#88072	C₂³	1	1	yes	characteristic
487	#88072	C₂³	1	1	yes	characteristic
488	C₂²⋊#1055	C₂³	1	1	yes	characteristic
489	C₂²⋊#1055	C₂³	1	1	yes	characteristic
490	#88061	C₂³	1	1	yes	characteristic
491	#88060	C₂³	1	1	yes	characteristic
492	#88060	C₂³	1	1	yes	characteristic
493	#88060	C₂³	1	1	yes	characteristic
494	#88060	C₂³	1	1	yes	characteristic
495	#88057	C₂³	1	1	yes	characteristic
496	#88056	C₂³	1	1	yes	characteristic
497	#88056	C₂³	1	1	yes	characteristic
498	#88056	C₂³	1	1	yes	characteristic
499	#88056	C₂³	1	1	yes	characteristic
500	#88056	C₂³	1	1	yes	characteristic
501	#88055	C₂³	1	1	yes	characteristic
502	#88054	C₂³	1	1	yes	characteristic
503	#88054	C₂³	1	1	yes	characteristic
504	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
505	#88050	C₂³	1	1	yes	characteristic
506	#88050	C₂³	1	1	yes	characteristic
507	#88050	C₂³	1	1	yes	characteristic
508	#88050	C₂³	1	1	yes	characteristic
509	#88050	C₂³	1	1	yes	characteristic
510	#88049	C₂³	1	1	yes	characteristic
511	#88048	C₂³	1	1	yes	characteristic
512	#88048	C₂³	1	1	yes	characteristic
513	C₄⋊#1055	C₂³	1	1	yes	characteristic
514	#88043	C₂³	1	1	yes	characteristic
515	#61064	—	13	1	no	maximal, Sylow
516	C₂⁴×C₁₃	—	2	1	no	—
517	C₂³×D₁₃	—	2	1	no	—
518	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₁₃×#41	—	2	2	no	—
520	C₁₃×#41	—	2	2	no	—
521	C₁₃×#41	—	4	1	no	—
522	C₁₃×#41	—	4	1	no	—
523	C₂×Q₈×C₁₃	—	2	1	no	—
524	C₂×Q₈×C₁₃	—	2	2	no	—
525	C₂×Q₈×C₁₃	—	4	1	no	—
526	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	—	2	2	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	—	2	1	no	—
532	C₂×D₄×C₁₃	—	2	1	no	—
533	C₂×D₄×C₁₃	—	2	1	no	—
534	C₂×D₄×C₁₃	—	2	1	no	—
535	C₂×D₄×C₁₃	—	4	1	no	—
536	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	2	1	no	—
557	C₂×C₂²⋊D₁₃	—	4	4	no	—
558	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂²×Dic₁₃	—	2	1	no	—
563	C₂²×Dic₁₃	—	2	1	no	—
564	C₂²×Dic₁₃	—	2	1	no	—
565	C₂²×Dic₁₃	—	2	1	no	—
566	C₂²×Dic₁₃	—	2	1	no	—
567	C₂²×Dic₁₃	—	2	1	no	—
568	C₂²×Dic₁₃	—	2	1	no	—
569	C₂²×Dic₁₃	—	2	1	no	—
570	C₂²×Dic₁₃	—	2	1	no	—
571	C₂²×Dic₁₃	—	4	4	no	—
572	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
573	#6131	—	2	2	no	—
574	#6131	—	2	2	no	—
575	#6131	—	4	1	no	—
576	#6131	—	4	4	no	—
577	#6131	C₂×D₄	1	4	yes	—
578	Q₈×D₁₃	—	2	2	no	—
579	Q₈×D₁₃	—	2	2	no	—
580	Q₈×D₁₃	—	2	2	no	—
581	Q₈×D₁₃	—	2	2	no	—
582	Q₈×D₁₃	—	2	2	no	—
583	Q₈×D₁₃	—	2	2	no	—
584	Q₈×D₁₃	—	2	2	no	—
585	Q₈×D₁₃	—	4	1	no	—
586	Q₈×D₁₃	—	4	1	no	—
587	Q₈×D₁₃	—	4	1	no	—
588	Q₈×D₁₃	—	4	4	no	—
589	#6129	—	2	2	no	—
590	#6129	—	2	2	no	—
591	#6129	—	2	2	no	—
592	#6129	—	2	2	no	—
593	#6129	—	2	2	no	—
594	#6129	—	2	2	no	—
595	#6129	—	2	2	no	—
596	#6129	—	2	2	no	—
597	#6129	—	4	1	no	—
598	#6129	—	4	1	no	—
599	#6129	—	4	1	no	—
600	#6129	—	4	4	no	—
601	#6129	—	4	4	no	—
602	#6129	—	4	4	no	—
603	#6129	—	4	4	no	—
604	#6129	—	4	4	no	—
605	#6129	C₂×D₄	1	4	yes	—
606	D₄×D₁₃	—	2	2	no	—
607	D₄×D₁₃	—	4	1	no	—
608	D₄×D₁₃	—	4	4	no	—
609	#6127	—	2	2	no	—
610	#6127	—	2	2	no	—
611	#6127	—	2	2	no	—
612	#6127	—	2	2	no	—
613	#6127	—	4	1	no	—
614	#6127	—	4	1	no	—
615	#6127	—	4	4	no	—
616	#6127	—	4	4	no	—
617	#6127	—	4	4	no	—
618	#6127	—	4	4	no	—
619	C₂×D₅₂	—	2	1	no	—
620	C₂×D₅₂	—	2	1	no	—
621	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
622	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
623	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
624	C₂×C₄×D₁₃	—	2	1	no	—
625	C₂×C₄×D₁₃	—	2	2	no	—
626	C₂×C₄×D₁₃	—	2	2	no	—
627	C₂×C₄×D₁₃	—	2	1	no	—
628	C₂×C₄×D₁₃	—	2	1	no	—
629	C₂×C₄×D₁₃	—	2	1	no	—
630	C₂×C₄×D₁₃	—	2	1	no	—
631	C₂×C₄×D₁₃	—	2	1	no	—
632	C₂×C₄×D₁₃	—	2	1	no	—
633	C₂×C₄×D₁₃	—	2	1	no	—
634	C₂×C₄×D₁₃	—	2	1	no	—
635	C₂×C₄×D₁₃	—	2	1	no	—
636	C₂×C₄×D₁₃	—	2	1	no	—
637	C₂×C₄×D₁₃	—	2	1	no	—
638	C₂×C₄×D₁₃	—	2	1	no	—
639	C₂×C₄×D₁₃	—	4	4	no	—
640	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
643	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
645	C₂×Dic₂₆	—	2	2	no	—
646	C₂×Dic₂₆	—	2	2	no	—
647	C₂×Dic₂₆	—	2	1	no	—
648	C₂×Dic₂₆	—	2	1	no	—
649	C₂×Dic₂₆	—	2	1	no	—
650	C₂×Dic₂₆	—	2	1	no	—
651	C₂×Dic₂₆	—	2	1	no	—
652	C₂×Dic₂₆	—	2	1	no	—
653	C₂×Dic₂₆	—	2	1	no	—
654	C₂×Dic₂₆	—	4	1	no	—
655	C₂×Dic₂₆	—	4	1	no	—
656	C₂×Dic₂₆	—	4	4	no	—
657	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
658	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
659	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
660	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
661	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
662	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
663	C₁₃×Q₁₆	—	2	2	no	—
664	C₁₃×Q₁₆	—	2	2	no	—
665	C₁₃×SD₁₆	—	2	2	no	—
666	C₁₃×SD₁₆	—	2	2	no	—
667	C₁₃×SD₁₆	—	4	1	no	—
668	C₁₃×SD₁₆	—	4	1	no	—
669	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
670	C₁₃×D₈	—	2	2	no	—
671	C₁₃×D₈	—	2	2	no	—
672	C₁₃×M₁₆	—	2	2	no	—
673	C₁₃×M₁₆	—	2	2	no	—
674	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
675	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
676	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
677	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
678	C₁₃×C₄⋊C₄	—	2	1	no	—
679	C₁₃×C₄⋊C₄	—	2	1	no	—
680	C₁₃×C₄⋊C₄	—	2	1	no	—
681	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₁₃×C₂²⋊C₄	—	2	1	no	—
685	C₁₃×C₂²⋊C₄	—	2	1	no	—
686	C₁₃×C₂²⋊C₄	—	2	1	no	—
687	C₁₃×C₂²⋊C₄	—	2	1	no	—
688	C₁₃×C₂²⋊C₄	—	2	1	no	—
689	C₁₃×C₂²⋊C₄	—	2	1	no	—
690	C₁₃×C₂²⋊C₄	—	2	1	no	—
691	C₁₃×C₂²⋊C₄	—	2	1	no	—
692	C₁₃×C₂²⋊C₄	—	2	1	no	—
693	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₄²×C₁₃	—	2	1	no	—
696	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
697	C₂²⋊Dic₁₃	—	2	1	no	—
698	C₂²⋊Dic₁₃	—	2	1	no	—
699	C₂²⋊Dic₁₃	—	2	1	no	—
700	C₂²⋊Dic₁₃	—	2	1	no	—
701	C₂²⋊Dic₁₃	—	2	1	no	—
702	C₂²⋊Dic₁₃	—	2	1	no	—
703	C₂²⋊Dic₁₃	—	2	1	no	—
704	C₂²⋊Dic₁₃	—	2	1	no	—
705	C₂²⋊Dic₁₃	—	2	1	no	—
706	C₂²⋊Dic₁₃	—	2	1	no	—
707	C₂²⋊Dic₁₃	—	2	1	no	—
708	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
709	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
710	#6107	—	2	2	no	—
711	#6107	—	2	2	no	—
712	#6107	—	2	2	no	—
713	#6107	—	2	2	no	—
714	#6107	—	2	2	no	—
715	#6107	—	4	1	no	—
716	#6107	—	4	1	no	—
717	#6107	C₂×D₄	1	4	yes	—
718	#6106	—	2	2	no	—
719	#6105	—	2	2	no	—
720	#6105	—	2	2	no	—
721	#6105	—	2	2	no	—
722	#6105	—	2	2	no	—
723	#6105	—	2	2	no	—
724	#6105	—	4	1	no	—
725	#6105	—	4	1	no	—
726	#6104	—	2	2	no	—
727	#6104	C₂×D₄	1	4	yes	—
728	#6103	—	2	1	no	—
729	#6103	—	2	1	no	—
730	#6103	—	2	1	no	—
731	#6103	—	2	1	no	—
732	#6103	—	2	1	no	—
733	#6103	—	2	1	no	—
734	#6103	—	2	1	no	—
735	#6103	—	2	1	no	—
736	#6103	C₂×D₄	1	1	yes	characteristic
737	#6103	C₂×D₄	1	1	yes	characteristic
738	#6103	C₂×D₄	1	1	yes	characteristic
739	#6103	C₂×D₄	1	1	yes	characteristic
740	#6103	C₂×D₄	1	1	yes	characteristic
741	#6103	C₂×D₄	1	1	yes	characteristic
742	C₄⋊Dic₁₃	—	2	1	no	—
743	C₄⋊Dic₁₃	—	2	1	no	—
744	C₄⋊Dic₁₃	—	2	1	no	—
745	C₄⋊Dic₁₃	—	2	1	no	—
746	C₄⋊Dic₁₃	—	2	1	no	—
747	C₄⋊Dic₁₃	—	2	1	no	—
748	C₄⋊Dic₁₃	—	2	1	no	—
749	C₄⋊Dic₁₃	—	2	1	no	—
750	C₄⋊Dic₁₃	—	2	1	no	—
751	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
752	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
753	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
754	#6101	—	2	1	no	—
755	#6101	—	2	1	no	—
756	#6101	—	2	1	no	—
757	#6101	—	2	1	no	—
758	#6101	—	2	1	no	—
759	#6101	—	2	1	no	—
760	#6101	—	2	1	no	—
761	#6101	—	2	1	no	—
762	#6101	—	2	1	no	—
763	#6101	—	2	1	no	—
764	#6101	—	2	1	no	—
765	#6101	—	2	1	no	—
766	#6101	—	2	1	no	—
767	#6101	—	2	1	no	—
768	#6101	C₂×D₄	1	1	yes	characteristic
769	#6101	C₂×D₄	1	1	yes	characteristic
770	#6101	C₂×D₄	1	1	yes	characteristic
771	#6101	C₂×D₄	1	1	yes	characteristic
772	C₄×Dic₁₃	—	2	1	no	—
773	C₄×Dic₁₃	—	2	1	no	—
774	C₄×Dic₁₃	—	2	1	no	—
775	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
776	#6099	—	2	2	no	—
777	C₂×#1055	—	2	2	no	—
778	C₂×#1055	C₂⁴	1	1	yes	characteristic
779	C₂×#1055	C₂⁴	1	1	yes	characteristic
780	C₂×#1055	C₂⁴	1	1	yes	characteristic
781	C₂×#1055	C₂⁴	1	1	yes	characteristic
782	Dic₅₂	—	2	2	no	—
783	Dic₅₂	—	2	2	no	—
784	Dic₅₂	—	2	2	no	—
785	Dic₅₂	—	2	2	no	—
786	Dic₅₂	—	4	1	no	—
787	Dic₅₂	—	4	1	no	—
788	#6095	—	2	2	no	—
789	#6095	—	2	2	no	—
790	#6095	C₂×D₄	1	4	yes	—
791	#6094	—	2	2	no	—
792	#6094	—	2	2	no	—
793	#6094	—	2	2	no	—
794	#6094	—	2	2	no	—
795	#6094	—	2	2	no	—
796	C₈×D₁₃	—	2	2	no	—
797	C₈×D₁₃	—	2	2	no	—
798	C₈×D₁₃	C₂×D₄	1	4	yes	—
799	C₂×#578	—	13	1	no	—
800	C₂×#575	—	13	1	no	—
801	#3489	—	13	1	no	—
802	#3489	—	13	1	no	—
803	#3276	—	13	1	no	—
804	#3276	—	13	1	no	—
805	#3276	—	13	1	no	—
806	#3276	—	13	1	no	—
807	#3275	—	13	1	no	—
808	#3275	—	13	1	no	—
809	#3275	—	13	1	no	—
810	#3275	D₁₃	1	1	yes	characteristic, complemented
811	#3270	—	13	1	no	—
812	#3270	—	13	1	no	—
813	#3270	—	13	1	no	—
814	#3270	—	13	1	no	—
815	#3267	—	13	1	no	—
816	#3267	—	13	1	no	—
817	#3267	—	13	1	no	—
818	#3267	—	13	1	no	—
819	#3156	—	13	1	no	—
820	#3060	—	13	1	no	—
821	C₂×#470	—	13	1	no	—
822	#3046	—	13	1	no	—
823	#3046	—	13	1	no	—
824	#3013	—	13	1	no	—
825	#3013	—	13	1	no	—
826	#3007	—	13	1	no	—
827	#3007	—	13	1	no	—
828	#2952	—	13	1	no	—
829	#2930	—	13	1	no	—
830	C₂³×C₁₃	—	2	1	no	—
831	C₂³×C₁₃	—	2	1	no	—
832	C₂³×C₁₃	—	2	1	no	—
833	C₂³×C₁₃	—	4	2	no	—
834	C₂³×C₁₃	—	4	2	no	—
835	C₂³×C₁₃	—	8	1	no	—
836	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂²×D₁₃	—	2	1	no	—
839	C₂²×D₁₃	—	2	2	no	—
840	C₂²×D₁₃	—	4	1	no	—
841	C₂²×D₁₃	—	4	1	no	—
842	C₂²×D₁₃	—	4	2	no	—
843	C₂²×D₁₃	—	4	2	no	—
844	C₂²×D₁₃	—	8	1	no	—
845	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
848	Q₈×C₁₃	—	2	1	no	—
849	Q₈×C₁₃	—	2	1	no	—
850	Q₈×C₁₃	—	2	1	no	—
851	Q₈×C₁₃	—	2	1	no	—
852	Q₈×C₁₃	—	2	1	no	—
853	Q₈×C₁₃	—	4	2	no	—
854	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
855	D₄×C₁₃	—	2	1	no	—
856	D₄×C₁₃	—	2	1	no	—
857	D₄×C₁₃	—	2	1	no	—
858	D₄×C₁₃	—	2	1	no	—
859	D₄×C₁₃	—	2	1	no	—
860	D₄×C₁₃	—	4	1	no	—
861	D₄×C₁₃	—	4	2	no	—
862	D₄×C₁₃	—	4	2	no	—
863	D₄×C₁₃	—	4	2	no	—
864	D₄×C₁₃	—	8	1	no	—
865	D₄×C₁₃	—	8	1	no	—
866	D₄×C₁₃	C₂²×D₄	1	2	yes	—
867	C₂×C₄×C₁₃	—	2	1	no	—
868	C₂×C₄×C₁₃	—	2	1	no	—
869	C₂×C₄×C₁₃	—	2	1	no	—
870	C₂×C₄×C₁₃	—	2	1	no	—
871	C₂×C₄×C₁₃	—	2	1	no	—
872	C₂×C₄×C₁₃	—	2	1	no	—
873	C₂×C₄×C₁₃	—	2	1	no	—
874	C₂×C₄×C₁₃	—	2	1	no	—
875	C₂×C₄×C₁₃	—	2	1	no	—
876	C₂×C₄×C₁₃	—	4	2	no	—
877	C₂×C₄×C₁₃	—	4	2	no	—
878	C₂×C₄×C₁₃	—	4	2	no	—
879	C₂×C₄×C₁₃	—	8	1	no	—
880	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
885	C₂²⋊D₁₃	—	2	2	no	—
886	C₂²⋊D₁₃	—	2	4	no	—
887	C₂²⋊D₁₃	—	2	2	no	—
888	C₂²⋊D₁₃	—	4	1	no	—
889	C₂²⋊D₁₃	—	4	1	no	—
890	C₂²⋊D₁₃	—	4	2	no	—
891	C₂²⋊D₁₃	—	4	2	no	—
892	C₂²⋊D₁₃	—	4	2	no	—
893	C₂²⋊D₁₃	—	4	2	no	—
894	C₂²⋊D₁₃	—	4	2	no	—
895	C₂²⋊D₁₃	—	4	2	no	—
896	C₂²⋊D₁₃	—	4	2	no	—
897	C₂²⋊D₁₃	—	4	2	no	—
898	C₂²⋊D₁₃	—	8	1	no	—
899	C₂²⋊D₁₃	—	8	1	no	—
900	C₂×Dic₁₃	—	2	1	no	—
901	C₂×Dic₁₃	—	2	4	no	—
902	C₂×Dic₁₃	—	2	2	no	—
903	C₂×Dic₁₃	—	2	1	no	—
904	C₂×Dic₁₃	—	2	1	no	—
905	C₂×Dic₁₃	—	2	1	no	—
906	C₂×Dic₁₃	—	2	1	no	—
907	C₂×Dic₁₃	—	2	1	no	—
908	C₂×Dic₁₃	—	2	1	no	—
909	C₂×Dic₁₃	—	4	2	no	—
910	C₂×Dic₁₃	—	4	2	no	—
911	C₂×Dic₁₃	—	4	2	no	—
912	C₂×Dic₁₃	—	4	2	no	—
913	C₂×Dic₁₃	—	4	2	no	—
914	C₂×Dic₁₃	—	4	2	no	—
915	C₂×Dic₁₃	—	4	2	no	—
916	C₂×Dic₁₃	—	8	1	no	—
917	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
918	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
919	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
920	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
922	D₅₂	—	2	4	no	—
923	D₅₂	—	2	2	no	—
924	D₅₂	—	2	1	no	—
925	D₅₂	—	4	1	no	—
926	D₅₂	—	4	2	no	—
927	D₅₂	C₂²×D₄	1	2	yes	—
928	C₄×D₁₃	—	2	2	no	—
929	C₄×D₁₃	—	2	1	no	—
930	C₄×D₁₃	—	2	1	no	—
931	C₄×D₁₃	—	2	1	no	—
932	C₄×D₁₃	—	2	1	no	—
933	C₄×D₁₃	—	2	2	no	—
934	C₄×D₁₃	—	2	4	no	—
935	C₄×D₁₃	—	4	2	no	—
936	C₄×D₁₃	—	4	2	no	—
937	C₄×D₁₃	—	4	2	no	—
938	C₄×D₁₃	—	4	2	no	—
939	C₄×D₁₃	—	4	2	no	—
940	C₄×D₁₃	—	4	2	no	—
941	C₄×D₁₃	—	4	2	no	—
942	C₄×D₁₃	—	4	2	no	—
943	C₄×D₁₃	—	8	1	no	—
944	C₄×D₁₃	—	8	1	no	—
945	C₄×D₁₃	—	8	1	no	—
946	C₄×D₁₃	—	8	1	no	—
947	C₄×D₁₃	C₂²×D₄	1	2	yes	—
948	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
949	Dic₂₆	—	2	1	no	—
950	Dic₂₆	—	2	2	no	—
951	Dic₂₆	—	2	1	no	—
952	Dic₂₆	—	2	1	no	—
953	Dic₂₆	—	2	1	no	—
954	Dic₂₆	—	2	1	no	—
955	Dic₂₆	—	2	1	no	—
956	Dic₂₆	—	2	1	no	—
957	Dic₂₆	—	2	1	no	—
958	Dic₂₆	—	2	1	no	—
959	Dic₂₆	—	4	2	no	—
960	Dic₂₆	—	4	2	no	—
961	Dic₂₆	—	4	2	no	—
962	Dic₂₆	—	4	2	no	—
963	Dic₂₆	—	4	2	no	—
964	Dic₂₆	—	4	2	no	—
965	Dic₂₆	—	4	2	no	—
966	Dic₂₆	C₂²×D₄	1	2	yes	—
967	C₈×C₁₃	—	2	1	no	—
968	C₈×C₁₃	—	2	1	no	—
969	C₈×C₁₃	—	2	1	no	—
970	C₈×C₁₃	C₂²×D₄	1	2	yes	—
971	#1055	—	2	1	no	—
972	#1055	—	2	1	no	—
973	#1055	—	2	1	no	—
974	#1055	C₂²×D₄	1	2	yes	—
975	C₂×2₋¹⁺⁴	—	13	1	no	—
976	C₂×2₋¹⁺⁴	—	13	1	no	—
977	C₂²×#41	—	13	1	no	—
978	C₂²×#41	—	13	1	no	—
979	#578	—	26	8	no	—
980	#575	—	26	8	no	—
981	C₂×#137	—	13	1	no	—
982	C₂×#137	—	13	1	no	—
983	C₂×#137	—	13	1	no	—
984	C₂×#137	—	13	1	no	—
985	C₂×#137	—	13	1	no	—
986	C₂×#137	—	13	1	no	—
987	C₂×#137	—	13	1	no	—
988	C₂×#137	—	13	1	no	—
989	C₂×#137	—	13	1	no	—
990	C₂×#137	—	13	1	no	—
991	C₂×#137	—	13	1	no	—
992	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
993	C₂×AGL(1,ℤ/8)	—	13	1	no	—
994	C₂×AGL(1,ℤ/8)	—	13	1	no	—
995	C₂×AGL(1,ℤ/8)	—	13	1	no	—
996	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
997	C₂×#135	—	13	1	no	—
998	C₂×#135	—	13	1	no	—
999	C₂×#135	—	13	1	no	—
1000	C₂×#135	—	13	1	no	—
1001	C₂×#135	—	13	1	no	—
1002	C₂×#135	—	13	1	no	—
1003	C₂²×Q₁₆	—	13	1	no	—
1004	C₂²×Q₁₆	—	13	1	no	—
1005	C₂²×Q₁₆	—	13	1	no	—
1006	C₂×#131	—	13	1	no	—
1007	C₂²×M₁₆	—	13	1	no	—
1008	D₄×Q₈	—	13	1	no	—
1009	D₄×Q₈	—	13	1	no	—
1010	D₄×Q₈	—	13	1	no	—
1011	D₄×Q₈	—	13	1	no	—
1012	#548	—	13	1	no	—
1013	#548	—	13	1	no	—
1014	#548	—	13	1	no	—
1015	#548	C₂×D₁₃	1	1	yes	characteristic
1016	#547	—	13	1	no	—
1017	#547	—	13	1	no	—
1018	#547	—	13	1	no	—
1019	#547	—	13	1	no	—
1020	#547	—	26	1	no	—
1021	#547	—	26	1	no	—
1022	#547	—	26	1	no	—
1023	#547	—	26	1	no	—
1024	#546	—	13	1	no	—
1025	#546	—	13	1	no	—
1026	#546	—	13	1	no	—
1027	#546	—	26	1	no	—
1028	#546	—	26	1	no	—
1029	#546	—	26	1	no	—
1030	#546	—	26	1	no	—
1031	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
1032	#537	—	13	1	no	—
1033	#537	—	13	1	no	—
1034	#537	—	26	1	no	—
1035	#537	—	26	1	no	—
1036	#536	—	13	1	no	—
1037	#536	—	13	1	no	—
1038	#536	—	26	1	no	—
1039	#536	—	26	1	no	—
1040	#525	—	13	1	no	—
1041	#525	—	26	1	no	—
1042	#525	—	26	1	no	—
1043	C₂×C₂²⋊Q₈	—	13	1	no	—
1044	C₂×C₂²⋊Q₈	—	13	1	no	—
1045	C₂×C₂²⋊Q₈	—	26	1	no	—
1046	C₂×C₂²⋊Q₈	—	26	1	no	—
1047	#520	—	13	1	no	—
1048	#520	—	13	1	no	—
1049	#497	—	13	1	no	—
1050	#497	—	13	1	no	—
1051	#497	—	13	1	no	—
1052	#497	—	13	1	no	—
1053	#495	—	13	1	no	—
1054	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	#494	—	13	1	no	—
1056	#494	—	13	1	no	—
1057	#470	—	13	1	no	—
1058	#470	—	13	1	no	—
1059	#470	—	13	1	no	—
1060	#470	—	13	1	no	—
1061	#470	—	13	1	no	—
1062	#470	—	13	1	no	—
1063	#470	—	13	1	no	—
1064	#470	—	13	1	no	—
1065	#470	—	13	1	no	—
1066	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
1067	#469	—	13	1	no	—
1068	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	#465	—	13	1	no	—
1070	#465	—	13	1	no	—
1071	#465	—	13	1	no	—
1072	#465	—	13	1	no	—
1073	#464	—	13	1	no	—
1074	#464	—	13	1	no	—
1075	#464	—	13	1	no	—
1076	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1077	#463	—	13	1	no	—
1078	#463	—	13	1	no	—
1079	#463	—	13	1	no	—
1080	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1081	#462	—	13	1	no	—
1082	#462	—	13	1	no	—
1083	#462	—	13	1	no	—
1084	#462	—	13	1	no	—
1085	#461	—	13	1	no	—
1086	#461	—	13	1	no	—
1087	#461	—	13	1	no	—
1088	#461	—	13	1	no	—
1089	#452	—	13	1	no	—
1090	#452	—	13	1	no	—
1091	#452	—	13	1	no	—
1092	#452	—	13	1	no	—
1093	#452	—	13	1	no	—
1094	#452	—	13	1	no	—
1095	#452	—	13	1	no	—
1096	#452	—	13	1	no	—
1097	#452	—	13	1	no	—
1098	#452	—	13	1	no	—
1099	#452	—	13	1	no	—
1100	#452	C₂×D₁₃	1	1	yes	characteristic
1101	#451	—	13	1	no	—
1102	#451	—	13	1	no	—
1103	#451	—	13	1	no	—
1104	#451	—	13	1	no	—
1105	#451	—	13	1	no	—
1106	#451	—	13	1	no	—
1107	#451	—	13	1	no	—
1108	#451	—	13	1	no	—
1109	#450	—	13	1	no	—
1110	#450	—	13	1	no	—
1111	#450	—	13	1	no	—
1112	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1113	#449	—	13	1	no	—
1114	#449	—	13	1	no	—
1115	#449	—	13	1	no	—
1116	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1117	#448	—	13	1	no	—
1118	#448	—	13	1	no	—
1119	#448	—	13	1	no	—
1120	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1121	#442	—	13	1	no	—
1122	#442	—	13	1	no	—
1123	#441	—	13	1	no	—
1124	#441	—	13	1	no	—
1125	C₄×SD₁₆	—	13	1	no	—
1126	C₄×SD₁₆	—	13	1	no	—
1127	C₄×SD₁₆	—	13	1	no	—
1128	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1129	#436	—	13	1	no	—
1130	#436	—	13	1	no	—
1131	#436	—	13	1	no	—
1132	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1133	#435	—	13	1	no	—
1134	#435	—	13	1	no	—
1135	#435	—	13	1	no	—
1136	#435	—	13	1	no	—
1137	C₂×#106	—	13	1	no	—
1138	#424	—	13	1	no	—
1139	#417	—	13	1	no	—
1140	#417	—	13	1	no	—
1141	#417	—	13	1	no	—
1142	#417	—	13	1	no	—
1143	C₂×#103	—	13	1	no	—
1144	C₂×#103	—	13	1	no	—
1145	#408	—	13	1	no	—
1146	#407	—	13	1	no	—
1147	#405	—	13	1	no	—
1148	C₂²×C₁₃	—	2	1	no	—
1149	C₂²×C₁₃	—	2	1	no	—
1150	C₂²×C₁₃	—	2	1	no	—
1151	C₂²×C₁₃	—	2	1	no	—
1152	C₂²×C₁₃	—	2	2	no	—
1153	C₂²×C₁₃	—	2	1	no	—
1154	C₂²×C₁₃	—	2	1	no	—
1155	C₂²×C₁₃	—	4	1	no	—
1156	C₂²×C₁₃	—	4	1	no	—
1157	C₂²×C₁₃	—	4	1	no	—
1158	C₂²×C₁₃	—	4	1	no	—
1159	C₂²×C₁₃	—	4	1	no	—
1160	C₂²×C₁₃	—	4	1	no	—
1161	C₂²×C₁₃	—	4	1	no	—
1162	C₂²×C₁₃	—	4	1	no	—
1163	C₂²×C₁₃	—	8	4	no	—
1164	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1165	C₂×D₁₃	—	2	1	no	—
1166	C₂×D₁₃	—	2	1	no	—
1167	C₂×D₁₃	—	2	1	no	—
1168	C₂×D₁₃	—	2	1	no	—
1169	C₂×D₁₃	—	2	1	no	—
1170	C₂×D₁₃	—	2	1	no	—
1171	C₂×D₁₃	—	2	1	no	—
1172	C₂×D₁₃	—	2	1	no	—
1173	C₂×D₁₃	—	2	2	no	—
1174	C₂×D₁₃	—	4	1	no	—
1175	C₂×D₁₃	—	4	1	no	—
1176	C₂×D₁₃	—	8	2	no	—
1177	C₂×D₁₃	—	8	4	no	—
1178	C₂×D₁₃	D₄²	1	2	yes	—
1179	C₄×C₁₃	—	2	1	no	—
1180	C₄×C₁₃	—	2	1	no	—
1181	C₄×C₁₃	—	2	1	no	—
1182	C₄×C₁₃	—	2	1	no	—
1183	C₄×C₁₃	—	2	2	no	—
1184	C₄×C₁₃	—	4	1	no	—
1185	C₄×C₁₃	—	4	1	no	—
1186	C₄×C₁₃	—	4	1	no	—
1187	C₄×C₁₃	—	4	1	no	—
1188	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
1189	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1190	Dic₁₃	—	2	1	no	—
1191	Dic₁₃	—	2	1	no	—
1192	Dic₁₃	—	2	1	no	—
1193	Dic₁₃	—	2	2	no	—
1194	Dic₁₃	—	2	1	no	—
1195	Dic₁₃	—	4	1	no	—
1196	Dic₁₃	—	4	1	no	—
1197	Dic₁₃	—	4	1	no	—
1198	Dic₁₃	—	4	1	no	—
1199	Dic₁₃	—	4	1	no	—
1200	Dic₁₃	—	4	1	no	—
1201	Dic₁₃	D₄²	1	2	yes	—
1202	2₋¹⁺⁴	—	26	4	no	—
1203	2₋¹⁺⁴	—	26	4	no	—
1204	2₋¹⁺⁴	—	52	2	no	—
1205	2₋¹⁺⁴	—	52	2	no	—
1206	C₂×#41	—	13	1	no	—
1207	C₂×#41	—	13	1	no	—
1208	C₂×#41	—	13	1	no	—
1209	C₂×#41	—	13	1	no	—
1210	C₂×#41	—	13	1	no	—
1211	C₂×#41	—	13	1	no	—
1212	C₂×#41	—	13	1	no	—
1213	C₂×#41	—	13	1	no	—
1214	C₂×#41	—	13	1	no	—
1215	C₂×#41	—	13	1	no	—
1216	C₂×#41	—	13	1	no	—
1217	C₂×#41	—	26	1	no	—
1218	C₂×#41	—	26	1	no	—
1219	C₂×#41	—	26	1	no	—
1220	C₂×#41	—	26	1	no	—
1221	C₂×#41	—	26	1	no	—
1222	C₂×#41	—	26	1	no	—
1223	C₂×#41	—	26	1	no	—
1224	C₂×#41	—	26	1	no	—
1225	C₂×#41	—	26	1	no	—
1226	C₂×#41	—	26	1	no	—
1227	C₂×#41	—	26	4	no	—
1228	C₂×#41	—	26	4	no	—
1229	C₂×#41	—	52	2	no	—
1230	C₂×#41	—	52	2	no	—
1231	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1232	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²×Q₈	—	13	1	no	—
1234	C₂²×Q₈	—	13	1	no	—
1235	C₂²×Q₈	—	13	1	no	—
1236	C₂²×Q₈	—	13	1	no	—
1237	C₂²×Q₈	—	13	1	no	—
1238	C₂²×Q₈	—	13	1	no	—
1239	C₂²×Q₈	—	13	1	no	—
1240	C₂²×Q₈	—	26	1	no	—
1241	C₂²×Q₈	—	26	1	no	—
1242	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1243	C₂²×D₄	—	13	1	no	—
1244	C₂²×D₄	—	26	1	no	—
1245	C₂²×D₄	—	26	1	no	—
1246	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1247	C₂³×C₄	—	13	1	no	—
1248	C₂³×C₄	—	26	1	no	—
1249	C₂³×C₄	—	26	1	no	—
1250	#137	—	2	4	no	—
1251	#137	—	26	4	no	—
1252	#137	—	26	4	no	—
1253	#137	—	26	4	no	—
1254	#137	—	26	4	no	—
1255	#137	—	26	4	no	—
1256	#137	—	26	4	no	—
1257	#137	—	26	4	no	—
1258	#137	—	26	4	no	—
1259	#137	—	26	4	no	—
1260	#137	—	52	2	no	—
1261	#137	—	52	2	no	—
1262	AGL(1,ℤ/8)	—	2	4	no	—
1263	AGL(1,ℤ/8)	—	26	4	no	—
1264	AGL(1,ℤ/8)	—	26	4	no	—
1265	AGL(1,ℤ/8)	—	26	4	no	—
1266	#135	—	13	8	no	—
1267	#135	—	26	4	no	—
1268	#135	—	26	4	no	—
1269	#135	—	26	4	no	—
1270	#135	—	26	4	no	—
1271	#135	—	26	4	no	—
1272	C₂×Q₁₆	—	13	1	no	—
1273	C₂×Q₁₆	—	13	1	no	—
1274	C₂×Q₁₆	—	13	1	no	—
1275	C₂×Q₁₆	—	13	1	no	—
1276	C₂×Q₁₆	—	13	1	no	—
1277	C₂×Q₁₆	—	13	1	no	—
1278	C₂×Q₁₆	—	13	1	no	—
1279	C₂×Q₁₆	—	13	1	no	—
1280	C₂×Q₁₆	—	13	1	no	—
1281	C₂×Q₁₆	—	13	1	no	—
1282	C₂×Q₁₆	—	13	1	no	—
1283	C₂×Q₁₆	—	13	1	no	—
1284	C₂×Q₁₆	—	13	1	no	—
1285	C₂×Q₁₆	—	13	1	no	—
1286	C₂×Q₁₆	—	26	4	no	—
1287	C₂×Q₁₆	—	26	4	no	—
1288	C₂×Q₁₆	—	26	4	no	—
1289	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1290	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1291	C₂×SD₁₆	—	13	1	no	—
1292	C₂×SD₁₆	—	13	1	no	—
1293	C₂×SD₁₆	—	13	1	no	—
1294	C₂×SD₁₆	—	13	1	no	—
1295	C₂×SD₁₆	—	13	1	no	—
1296	C₂×SD₁₆	—	13	1	no	—
1297	C₂×SD₁₆	—	13	1	no	—
1298	C₂×SD₁₆	—	13	1	no	—
1299	C₂×SD₁₆	—	13	1	no	—
1300	C₂×SD₁₆	—	13	1	no	—
1301	C₂×SD₁₆	—	13	1	no	—
1302	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1303	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1304	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1305	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1306	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1307	C₂×D₈	—	13	1	no	—
1308	C₂×D₈	—	13	1	no	—
1309	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1311	#131	—	26	4	no	—
1312	C₂×M₁₆	—	13	1	no	—
1313	C₂×M₁₆	—	13	1	no	—
1314	C₂×M₁₆	—	13	1	no	—
1315	C₂×M₁₆	—	13	1	no	—
1316	C₂×M₁₆	—	13	1	no	—
1317	C₂×M₁₆	—	13	1	no	—
1318	C₂×M₁₆	—	26	4	no	—
1319	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1320	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1321	C₂²×C₈	—	13	1	no	—
1322	C₂²×C₈	—	13	1	no	—
1323	C₂²×C₈	—	13	1	no	—
1324	C₂²×C₈	—	13	1	no	—
1325	C₄⋊Q₈	—	13	1	no	—
1326	C₄⋊Q₈	—	13	1	no	—
1327	C₄⋊Q₈	—	13	1	no	—
1328	C₄⋊Q₈	—	13	1	no	—
1329	C₄⋊Q₈	—	26	1	no	—
1330	C₄⋊Q₈	—	26	1	no	—
1331	C₄⋊Q₈	—	26	1	no	—
1332	C₄⋊Q₈	—	26	1	no	—
1333	#124	—	2	1	no	—
1334	#124	—	13	1	no	—
1335	#124	—	13	1	no	—
1336	#124	—	26	1	no	—
1337	#124	—	26	1	no	—
1338	#124	—	26	1	no	—
1339	#124	C₂²×D₁₃	1	1	yes	characteristic
1340	#124	C₂²×D₁₃	1	1	yes	characteristic
1341	#123	—	2	1	no	—
1342	#123	—	13	1	no	—
1343	#123	—	13	1	no	—
1344	#123	—	26	1	no	—
1345	#123	—	26	1	no	—
1346	#123	—	26	1	no	—
1347	#123	—	26	1	no	—
1348	#123	—	26	1	no	—
1349	#123	—	26	1	no	—
1350	#123	—	26	1	no	—
1351	#123	—	26	1	no	—
1352	#123	—	26	1	no	—
1353	#123	—	26	1	no	—
1354	#123	—	26	1	no	—
1355	#123	—	26	1	no	—
1356	#123	—	26	1	no	—
1357	#123	—	26	1	no	—
1358	#123	—	26	1	no	—
1359	C₂²⋊Q₈	—	2	1	no	—
1360	C₂²⋊Q₈	—	13	1	no	—
1361	C₂²⋊Q₈	—	13	1	no	—
1362	C₂²⋊Q₈	—	13	1	no	—
1363	C₂²⋊Q₈	—	13	1	no	—
1364	C₂²⋊Q₈	—	13	1	no	—
1365	C₂²⋊Q₈	—	13	1	no	—
1366	C₂²⋊Q₈	—	13	1	no	—
1367	C₂²⋊Q₈	—	13	1	no	—
1368	C₂²⋊Q₈	—	13	1	no	—
1369	C₂²⋊Q₈	—	13	1	no	—
1370	C₂²⋊Q₈	—	13	1	no	—
1371	C₂²⋊Q₈	—	13	1	no	—
1372	C₂²⋊Q₈	—	26	1	no	—
1373	C₂²⋊Q₈	—	26	1	no	—
1374	C₂²⋊Q₈	—	26	1	no	—
1375	C₂²⋊Q₈	—	26	1	no	—
1376	C₂²⋊Q₈	—	26	1	no	—
1377	C₂²⋊Q₈	—	26	1	no	—
1378	C₂²⋊Q₈	—	26	1	no	—
1379	C₂²⋊Q₈	—	26	1	no	—
1380	C₂²⋊Q₈	—	26	1	no	—
1381	C₂²⋊Q₈	—	26	1	no	—
1382	C₂²⋊Q₈	—	26	1	no	—
1383	C₂²⋊Q₈	—	26	1	no	—
1384	C₂²⋊Q₈	—	26	1	no	—
1385	C₂²⋊Q₈	—	26	1	no	—
1386	C₂²⋊Q₈	—	26	1	no	—
1387	C₂²⋊Q₈	—	26	1	no	—
1388	C₂²⋊Q₈	—	26	1	no	—
1389	C₂²⋊Q₈	—	26	1	no	—
1390	C₂²⋊Q₈	—	26	1	no	—
1391	C₂²⋊Q₈	—	26	1	no	—
1392	C₂²⋊Q₈	—	26	1	no	—
1393	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1395	#121	—	2	1	no	—
1396	#121	—	2	1	no	—
1397	#121	—	13	1	no	—
1398	#121	—	13	1	no	—
1399	#121	—	13	1	no	—
1400	#121	—	13	1	no	—
1401	#121	—	26	1	no	—
1402	#121	—	26	1	no	—
1403	#121	—	26	1	no	—
1404	#121	—	26	1	no	—
1405	#121	—	26	1	no	—
1406	#121	—	26	1	no	—
1407	#121	—	26	1	no	—
1408	#121	—	26	1	no	—
1409	#121	—	26	1	no	—
1410	#121	—	26	1	no	—
1411	#121	—	26	1	no	—
1412	#121	—	26	1	no	—
1413	#121	—	26	1	no	—
1414	#121	—	26	1	no	—
1415	#121	—	26	1	no	—
1416	#121	—	26	1	no	—
1417	#121	C₂²×D₁₃	1	1	yes	characteristic
1418	#121	C₂²×D₁₃	1	1	yes	characteristic
1419	#120	—	2	1	no	—
1420	#120	—	13	1	no	—
1421	#120	—	13	1	no	—
1422	#120	—	26	1	no	—
1423	#120	—	26	1	no	—
1424	#120	—	26	1	no	—
1425	C₄×Q₈	—	13	1	no	—
1426	C₄×Q₈	—	13	1	no	—
1427	C₄×Q₈	—	13	1	no	—
1428	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1429	C₄×D₄	—	2	1	no	—
1430	C₄×D₄	—	13	1	no	—
1431	C₄×D₄	—	13	1	no	—
1432	C₄×D₄	—	13	1	no	—
1433	C₄×D₄	—	13	1	no	—
1434	C₄×D₄	—	13	1	no	—
1435	C₄×D₄	—	13	1	no	—
1436	C₄×D₄	—	26	1	no	—
1437	C₄×D₄	—	26	1	no	—
1438	C₄×D₄	—	26	1	no	—
1439	C₄×D₄	—	26	1	no	—
1440	C₄×D₄	—	26	1	no	—
1441	C₄×D₄	—	26	1	no	—
1442	C₄×D₄	—	26	1	no	—
1443	C₄×D₄	—	26	1	no	—
1444	C₄×D₄	—	26	1	no	—
1445	C₄×D₄	—	26	1	no	—
1446	C₄×D₄	—	26	1	no	—
1447	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1448	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1449	#117	—	13	1	no	—
1450	#117	—	26	1	no	—
1451	#117	—	26	1	no	—
1452	C₂×C₄⋊C₄	—	13	1	no	—
1453	C₂×C₄⋊C₄	—	13	1	no	—
1454	C₂×C₄⋊C₄	—	26	1	no	—
1455	C₂×C₄⋊C₄	—	26	1	no	—
1456	C₂×C₄⋊C₄	—	26	1	no	—
1457	C₂×C₄⋊C₄	—	26	1	no	—
1458	C₂×C₄⋊C₄	—	26	1	no	—
1459	C₂×C₄⋊C₄	—	26	1	no	—
1460	C₂×C₄⋊C₄	—	26	1	no	—
1461	C₂×C₄⋊C₄	—	26	1	no	—
1462	C₂×C₂²⋊C₄	—	2	1	no	—
1463	C₂×C₂²⋊C₄	—	26	1	no	—
1464	C₂×C₂²⋊C₄	—	26	1	no	—
1465	C₂×C₂²⋊C₄	—	26	1	no	—
1466	C₂×C₂²⋊C₄	—	26	1	no	—
1467	C₂×C₂²⋊C₄	—	26	1	no	—
1468	#106	—	13	1	no	—
1469	#106	—	13	1	no	—
1470	#106	—	13	1	no	—
1471	#106	C₂²×D₁₃	1	1	yes	characteristic
1472	C₄⋊C₈	—	13	1	no	—
1473	C₄⋊C₈	—	13	1	no	—
1474	C₄⋊C₈	—	13	1	no	—
1475	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1476	#103	—	13	1	no	—
1477	#103	—	13	1	no	—
1478	#103	—	13	1	no	—
1479	#103	—	13	1	no	—
1480	#103	—	13	1	no	—
1481	#103	—	13	1	no	—
1482	#103	—	13	1	no	—
1483	#103	—	13	1	no	—
1484	#103	—	13	1	no	—
1485	#103	—	13	1	no	—
1486	#103	—	13	1	no	—
1487	#103	—	13	1	no	—
1488	#103	—	13	1	no	—
1489	#103	C₂²×D₁₃	1	1	yes	characteristic
1490	#103	C₂²×D₁₃	1	1	yes	characteristic
1491	#103	C₂²×D₁₃	1	1	yes	characteristic
1492	#102	—	13	1	no	—
1493	#102	—	13	1	no	—
1494	#102	—	13	1	no	—
1495	#102	—	13	1	no	—
1496	#102	—	13	1	no	—
1497	#102	C₂²×D₁₃	1	1	yes	characteristic
1498	#102	C₂²×D₁₃	1	1	yes	characteristic
1499	#102	C₂²×D₁₃	1	1	yes	characteristic
1500	C₂²⋊C₈	—	13	1	no	—
1501	C₂²⋊C₈	—	13	1	no	—
1502	C₂²⋊C₈	—	13	1	no	—
1503	C₂²⋊C₈	—	13	1	no	—
1504	C₂²⋊C₈	—	13	1	no	—
1505	C₂²⋊C₈	—	13	1	no	—
1506	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1507	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1508	#97	—	13	1	no	—
1509	#97	—	13	1	no	—
1510	C₄×C₈	—	13	1	no	—
1511	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1512	C₂×C₁₃	—	4	1	no	—
1513	C₂×C₁₃	—	4	1	no	—
1514	C₂×C₁₃	—	4	2	no	—
1515	C₂×C₁₃	—	8	1	no	—
1516	C₂×C₁₃	—	8	1	no	—
1517	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1518	C₂×C₁₃	#3586	1	1	yes	characteristic
1519	C₂×C₁₃	#3586	1	1	yes	characteristic
1520	D₁₃	—	2	2	no	—
1521	D₁₃	—	4	1	no	—
1522	D₁₃	—	4	1	no	—
1523	D₁₃	—	4	2	no	—
1524	C₂⁴	—	2	1	no	—
1525	C₂⁴	—	13	1	no	—
1526	C₂⁴	—	26	1	no	—
1527	#41	—	2	2	no	—
1528	#41	—	2	2	no	—
1529	#41	—	4	1	no	—
1530	#41	—	4	1	no	—
1531	#41	—	13	4	no	—
1532	#41	—	13	4	no	—
1533	#41	—	26	2	no	—
1534	#41	—	26	2	no	—
1535	#41	—	26	2	no	—
1536	#41	—	26	2	no	—
1537	#41	—	26	2	no	—
1538	#41	—	26	2	no	—
1539	#41	—	26	2	no	—
1540	#41	—	26	2	no	—
1541	#41	—	26	2	no	—
1542	#41	—	26	2	no	—
1543	#41	—	26	2	no	—
1544	#41	—	26	2	no	—
1545	#41	—	26	2	no	—
1546	#41	—	26	2	no	—
1547	#41	—	52	1	no	—
1548	#41	—	52	1	no	—
1549	#41	—	52	4	no	—
1550	#41	—	52	4	no	—
1551	#41	—	52	4	no	—
1552	#41	—	52	4	no	—
1553	#41	—	52	4	no	—
1554	#41	—	52	4	no	—
1555	#41	—	52	1	no	—
1556	#41	—	52	1	no	—
1557	#41	—	52	1	no	—
1558	#41	—	52	4	no	—
1559	#41	—	52	4	no	—
1560	#41	—	52	1	no	—
1561	#41	—	52	4	no	—
1562	#41	—	52	4	no	—
1563	C₂×Q₈	—	2	1	no	—
1564	C₂×Q₈	—	2	2	no	—
1565	C₂×Q₈	—	4	1	no	—
1566	C₂×Q₈	—	13	1	no	—
1567	C₂×Q₈	—	13	1	no	—
1568	C₂×Q₈	—	13	1	no	—
1569	C₂×Q₈	—	13	1	no	—
1570	C₂×Q₈	—	13	1	no	—
1571	C₂×Q₈	—	13	1	no	—
1572	C₂×Q₈	—	26	1	no	—
1573	C₂×Q₈	—	26	1	no	—
1574	C₂×Q₈	—	26	1	no	—
1575	C₂×Q₈	—	26	1	no	—
1576	C₂×Q₈	—	26	1	no	—
1577	C₂×Q₈	—	26	2	no	—
1578	C₂×Q₈	—	26	2	no	—
1579	C₂×Q₈	—	26	2	no	—
1580	C₂×Q₈	—	26	2	no	—
1581	C₂×Q₈	—	26	2	no	—
1582	C₂×Q₈	—	26	2	no	—
1583	C₂×Q₈	—	26	1	no	—
1584	C₂×Q₈	—	26	1	no	—
1585	C₂×Q₈	—	26	2	no	—
1586	C₂×Q₈	—	26	2	no	—
1587	C₂×Q₈	—	26	2	no	—
1588	C₂×Q₈	—	52	1	no	—
1589	C₂×Q₈	—	52	1	no	—
1590	C₂×Q₈	—	52	4	no	—
1591	C₂×Q₈	—	52	1	no	—
1592	C₂×Q₈	—	52	1	no	—
1593	C₂×Q₈	—	52	1	no	—
1594	C₂×Q₈	—	52	4	no	—
1595	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1596	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂×D₄	—	2	2	no	—
1599	C₂×D₄	—	2	1	no	—
1600	C₂×D₄	—	2	1	no	—
1601	C₂×D₄	—	2	1	no	—
1602	C₂×D₄	—	2	1	no	—
1603	C₂×D₄	—	2	1	no	—
1604	C₂×D₄	—	4	1	no	—
1605	C₂×D₄	—	13	1	no	—
1606	C₂×D₄	—	13	1	no	—
1607	C₂×D₄	—	13	1	no	—
1608	C₂×D₄	—	13	1	no	—
1609	C₂×D₄	—	13	1	no	—
1610	C₂×D₄	—	13	1	no	—
1611	C₂×D₄	—	13	1	no	—
1612	C₂×D₄	—	26	1	no	—
1613	C₂×D₄	—	26	1	no	—
1614	C₂×D₄	—	26	1	no	—
1615	C₂×D₄	—	26	2	no	—
1616	C₂×D₄	—	26	1	no	—
1617	C₂×D₄	—	26	1	no	—
1618	C₂×D₄	—	26	1	no	—
1619	C₂×D₄	—	26	1	no	—
1620	C₂×D₄	—	26	1	no	—
1621	C₂×D₄	—	26	1	no	—
1622	C₂×D₄	—	26	1	no	—
1623	C₂×D₄	—	26	1	no	—
1624	C₂×D₄	—	26	1	no	—
1625	C₂×D₄	—	26	1	no	—
1626	C₂×D₄	—	52	1	no	—
1627	C₂×D₄	—	52	4	no	—
1628	C₂×D₄	—	52	4	no	—
1629	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1630	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1631	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1632	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1633	C₂²×C₄	—	2	1	no	—
1634	C₂²×C₄	—	2	1	no	—
1635	C₂²×C₄	—	2	1	no	—
1636	C₂²×C₄	—	2	1	no	—
1637	C₂²×C₄	—	13	1	no	—
1638	C₂²×C₄	—	13	1	no	—
1639	C₂²×C₄	—	13	1	no	—
1640	C₂²×C₄	—	13	1	no	—
1641	C₂²×C₄	—	13	1	no	—
1642	C₂²×C₄	—	13	1	no	—
1643	C₂²×C₄	—	26	1	no	—
1644	C₂²×C₄	—	26	2	no	—
1645	C₂²×C₄	—	26	2	no	—
1646	C₂²×C₄	—	26	1	no	—
1647	C₂²×C₄	—	26	1	no	—
1648	C₂²×C₄	—	26	1	no	—
1649	C₂²×C₄	—	26	1	no	—
1650	C₂²×C₄	—	26	1	no	—
1651	C₂²×C₄	—	26	1	no	—
1652	C₂²×C₄	—	26	1	no	—
1653	C₂²×C₄	—	26	1	no	—
1654	C₂²×C₄	—	26	1	no	—
1655	C₂²×C₄	—	26	1	no	—
1656	C₂²×C₄	—	26	1	no	—
1657	C₂²×C₄	—	26	1	no	—
1658	C₂²×C₄	—	26	1	no	—
1659	C₂²×C₄	—	26	1	no	—
1660	C₂²×C₄	—	26	1	no	—
1661	C₂²×C₄	—	26	1	no	—
1662	C₂²×C₄	—	26	1	no	—
1663	C₂²×C₄	—	26	1	no	—
1664	C₂²×C₄	—	26	1	no	—
1665	C₂²×C₄	—	26	1	no	—
1666	C₂²×C₄	—	26	1	no	—
1667	C₂²×C₄	—	52	4	no	—
1668	C₂²×C₄	—	52	4	no	—
1669	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1670	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1671	Q₁₆	—	2	2	no	—
1672	Q₁₆	—	2	2	no	—
1673	Q₁₆	—	13	4	no	—
1674	Q₁₆	—	26	2	no	—
1675	Q₁₆	—	26	2	no	—
1676	Q₁₆	—	26	2	no	—
1677	Q₁₆	—	26	2	no	—
1678	Q₁₆	—	26	2	no	—
1679	Q₁₆	—	26	2	no	—
1680	Q₁₆	—	26	2	no	—
1681	Q₁₆	—	26	2	no	—
1682	Q₁₆	—	26	2	no	—
1683	Q₁₆	—	52	1	no	—
1684	Q₁₆	—	52	1	no	—
1685	Q₁₆	—	52	1	no	—
1686	Q₁₆	—	52	1	no	—
1687	SD₁₆	—	2	2	no	—
1688	SD₁₆	—	2	2	no	—
1689	SD₁₆	—	4	1	no	—
1690	SD₁₆	—	4	1	no	—
1691	SD₁₆	—	13	4	no	—
1692	SD₁₆	—	26	2	no	—
1693	SD₁₆	—	26	2	no	—
1694	SD₁₆	—	26	2	no	—
1695	SD₁₆	—	26	2	no	—
1696	SD₁₆	—	26	2	no	—
1697	SD₁₆	—	26	2	no	—
1698	SD₁₆	—	26	2	no	—
1699	SD₁₆	—	26	2	no	—
1700	SD₁₆	—	52	1	no	—
1701	SD₁₆	—	52	1	no	—
1702	SD₁₆	D₄×D₁₃	1	4	yes	—
1703	D₈	—	2	2	no	—
1704	D₈	—	2	2	no	—
1705	D₈	—	13	4	no	—
1706	D₈	—	26	2	no	—
1707	M₁₆	—	2	2	no	—
1708	M₁₆	—	2	2	no	—
1709	M₁₆	—	26	2	no	—
1710	M₁₆	—	26	2	no	—
1711	M₁₆	—	26	2	no	—
1712	M₁₆	—	26	2	no	—
1713	M₁₆	—	26	2	no	—
1714	M₁₆	—	26	2	no	—
1715	C₂×C₈	—	13	1	no	—
1716	C₂×C₈	—	13	4	no	—
1717	C₂×C₈	—	13	1	no	—
1718	C₂×C₈	—	13	1	no	—
1719	C₂×C₈	—	13	1	no	—
1720	C₂×C₈	—	26	2	no	—
1721	C₂×C₈	—	26	2	no	—
1722	C₂×C₈	—	26	2	no	—
1723	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1724	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1725	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1726	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1727	C₄⋊C₄	—	2	1	no	—
1728	C₄⋊C₄	—	2	1	no	—
1729	C₄⋊C₄	—	2	1	no	—
1730	C₄⋊C₄	—	13	1	no	—
1731	C₄⋊C₄	—	13	1	no	—
1732	C₄⋊C₄	—	13	1	no	—
1733	C₄⋊C₄	—	13	1	no	—
1734	C₄⋊C₄	—	13	1	no	—
1735	C₄⋊C₄	—	13	1	no	—
1736	C₄⋊C₄	—	13	1	no	—
1737	C₄⋊C₄	—	26	1	no	—
1738	C₄⋊C₄	—	26	1	no	—
1739	C₄⋊C₄	—	26	1	no	—
1740	C₄⋊C₄	—	26	1	no	—
1741	C₄⋊C₄	—	26	1	no	—
1742	C₄⋊C₄	—	26	1	no	—
1743	C₄⋊C₄	—	26	1	no	—
1744	C₄⋊C₄	—	26	1	no	—
1745	C₄⋊C₄	—	26	1	no	—
1746	C₄⋊C₄	—	26	1	no	—
1747	C₄⋊C₄	—	26	1	no	—
1748	C₄⋊C₄	—	26	1	no	—
1749	C₄⋊C₄	—	26	1	no	—
1750	C₄⋊C₄	—	26	1	no	—
1751	C₄⋊C₄	—	26	1	no	—
1752	C₄⋊C₄	—	26	1	no	—
1753	C₄⋊C₄	—	26	1	no	—
1754	C₄⋊C₄	—	26	1	no	—
1755	C₄⋊C₄	—	26	1	no	—
1756	C₄⋊C₄	—	26	1	no	—
1757	C₄⋊C₄	—	26	1	no	—
1758	C₄⋊C₄	—	26	1	no	—
1759	C₄⋊C₄	—	26	1	no	—
1760	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1761	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1762	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1763	C₂²⋊C₄	—	2	1	no	—
1764	C₂²⋊C₄	—	2	1	no	—
1765	C₂²⋊C₄	—	2	1	no	—
1766	C₂²⋊C₄	—	2	1	no	—
1767	C₂²⋊C₄	—	2	1	no	—
1768	C₂²⋊C₄	—	2	1	no	—
1769	C₂²⋊C₄	—	2	1	no	—
1770	C₂²⋊C₄	—	2	1	no	—
1771	C₂²⋊C₄	—	2	1	no	—
1772	C₂²⋊C₄	—	13	1	no	—
1773	C₂²⋊C₄	—	13	1	no	—
1774	C₂²⋊C₄	—	13	1	no	—
1775	C₂²⋊C₄	—	13	1	no	—
1776	C₂²⋊C₄	—	13	1	no	—
1777	C₂²⋊C₄	—	13	1	no	—
1778	C₂²⋊C₄	—	13	1	no	—
1779	C₂²⋊C₄	—	13	1	no	—
1780	C₂²⋊C₄	—	26	1	no	—
1781	C₂²⋊C₄	—	26	1	no	—
1782	C₂²⋊C₄	—	26	1	no	—
1783	C₂²⋊C₄	—	26	1	no	—
1784	C₂²⋊C₄	—	26	1	no	—
1785	C₂²⋊C₄	—	26	1	no	—
1786	C₂²⋊C₄	—	26	1	no	—
1787	C₂²⋊C₄	—	26	1	no	—
1788	C₂²⋊C₄	—	26	1	no	—
1789	C₂²⋊C₄	—	26	1	no	—
1790	C₂²⋊C₄	—	26	1	no	—
1791	C₂²⋊C₄	—	26	1	no	—
1792	C₂²⋊C₄	—	26	1	no	—
1793	C₂²⋊C₄	—	26	1	no	—
1794	C₂²⋊C₄	—	26	1	no	—
1795	C₂²⋊C₄	—	26	1	no	—
1796	C₂²⋊C₄	—	26	1	no	—
1797	C₂²⋊C₄	—	26	1	no	—
1798	C₂²⋊C₄	—	26	1	no	—
1799	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1800	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1801	C₄²	—	2	1	no	—
1802	C₄²	—	13	1	no	—
1803	C₄²	—	26	1	no	—
1804	C₄²	—	26	1	no	—
1805	C₄²	—	26	1	no	—
1806	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1807	C₁₃	#61064	1	1	yes	characteristic, complemented, Sylow
1808	C₂³	—	2	1	no	—
1809	C₂³	—	2	1	no	—
1810	C₂³	—	2	1	no	—
1811	C₂³	—	4	2	no	—
1812	C₂³	—	4	2	no	—
1813	C₂³	—	8	1	no	—
1814	C₂³	—	13	1	no	—
1815	C₂³	—	13	1	no	—
1816	C₂³	—	13	1	no	—
1817	C₂³	—	26	2	no	—
1818	C₂³	—	26	1	no	—
1819	C₂³	—	52	1	no	—
1820	C₂³	—	52	1	no	—
1821	C₂³	—	52	2	no	—
1822	C₂³	—	52	2	no	—
1823	C₂³	—	104	1	no	—
1824	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1825	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1826	Q₈	—	2	1	no	—
1827	Q₈	—	2	1	no	—
1828	Q₈	—	2	1	no	—
1829	Q₈	—	2	1	no	—
1830	Q₈	—	2	1	no	—
1831	Q₈	—	4	2	no	—
1832	Q₈	—	13	2	no	—
1833	Q₈	—	26	2	no	—
1834	Q₈	—	26	1	no	—
1835	Q₈	—	26	1	no	—
1836	Q₈	—	26	1	no	—
1837	Q₈	—	26	1	no	—
1838	Q₈	—	26	1	no	—
1839	Q₈	—	26	1	no	—
1840	Q₈	—	26	1	no	—
1841	Q₈	—	26	1	no	—
1842	Q₈	—	26	1	no	—
1843	Q₈	—	52	2	no	—
1844	Q₈	—	52	2	no	—
1845	Q₈	—	52	2	no	—
1846	Q₈	—	52	2	no	—
1847	Q₈	—	52	2	no	—
1848	Q₈	—	52	2	no	—
1849	Q₈	—	52	2	no	—
1850	Q₈	C₂×D₄×D₁₃	1	2	yes	—
1851	D₄	—	2	1	no	—
1852	D₄	—	2	1	no	—
1853	D₄	—	2	1	no	—
1854	D₄	—	2	1	no	—
1855	D₄	—	2	1	no	—
1856	D₄	—	4	1	no	—
1857	D₄	—	4	2	no	—
1858	D₄	—	4	2	no	—
1859	D₄	—	4	2	no	—
1860	D₄	—	8	1	no	—
1861	D₄	—	8	1	no	—
1862	D₄	—	13	2	no	—
1863	D₄	—	26	2	no	—
1864	D₄	—	26	4	no	—
1865	D₄	—	26	2	no	—
1866	D₄	—	26	2	no	—
1867	D₄	—	26	4	no	—
1868	D₄	—	26	1	no	—
1869	D₄	—	52	1	no	—
1870	D₄	—	52	2	no	—
1871	D₄	—	52	1	no	—
1872	D₄	—	52	1	no	—
1873	D₄	—	52	2	no	—
1874	D₄	—	52	2	no	—
1875	D₄	—	52	2	no	—
1876	D₄	—	52	2	no	—
1877	D₄	—	52	2	no	—
1878	D₄	—	52	2	no	—
1879	D₄	—	52	2	no	—
1880	D₄	—	52	2	no	—
1881	D₄	—	104	1	no	—
1882	D₄	—	104	1	no	—
1883	D₄	C₂×D₄×D₁₃	1	2	yes	—
1884	C₂×C₄	—	2	1	no	—
1885	C₂×C₄	—	2	1	no	—
1886	C₂×C₄	—	2	1	no	—
1887	C₂×C₄	—	2	1	no	—
1888	C₂×C₄	—	2	1	no	—
1889	C₂×C₄	—	2	1	no	—
1890	C₂×C₄	—	2	1	no	—
1891	C₂×C₄	—	2	1	no	—
1892	C₂×C₄	—	2	1	no	—
1893	C₂×C₄	—	4	2	no	—
1894	C₂×C₄	—	4	2	no	—
1895	C₂×C₄	—	4	2	no	—
1896	C₂×C₄	—	8	1	no	—
1897	C₂×C₄	—	13	1	no	—
1898	C₂×C₄	—	13	2	no	—
1899	C₂×C₄	—	13	2	no	—
1900	C₂×C₄	—	13	1	no	—
1901	C₂×C₄	—	13	1	no	—
1902	C₂×C₄	—	13	1	no	—
1903	C₂×C₄	—	13	1	no	—
1904	C₂×C₄	—	26	2	no	—
1905	C₂×C₄	—	26	4	no	—
1906	C₂×C₄	—	26	2	no	—
1907	C₂×C₄	—	26	2	no	—
1908	C₂×C₄	—	26	4	no	—
1909	C₂×C₄	—	26	1	no	—
1910	C₂×C₄	—	26	1	no	—
1911	C₂×C₄	—	26	1	no	—
1912	C₂×C₄	—	26	1	no	—
1913	C₂×C₄	—	26	1	no	—
1914	C₂×C₄	—	26	1	no	—
1915	C₂×C₄	—	26	1	no	—
1916	C₂×C₄	—	26	1	no	—
1917	C₂×C₄	—	26	1	no	—
1918	C₂×C₄	—	26	1	no	—
1919	C₂×C₄	—	26	1	no	—
1920	C₂×C₄	—	52	2	no	—
1921	C₂×C₄	—	52	2	no	—
1922	C₂×C₄	—	52	2	no	—
1923	C₂×C₄	—	52	2	no	—
1924	C₂×C₄	—	52	2	no	—
1925	C₂×C₄	—	52	2	no	—
1926	C₂×C₄	—	52	2	no	—
1927	C₂×C₄	—	52	2	no	—
1928	C₂×C₄	—	52	2	no	—
1929	C₂×C₄	—	52	2	no	—
1930	C₂×C₄	—	52	2	no	—
1931	C₂×C₄	—	52	2	no	—
1932	C₂×C₄	—	52	2	no	—
1933	C₂×C₄	—	52	2	no	—
1934	C₂×C₄	—	52	2	no	—
1935	C₂×C₄	—	104	1	no	—
1936	C₂×C₄	—	104	1	no	—
1937	C₂×C₄	—	104	1	no	—
1938	C₂×C₄	—	104	1	no	—
1939	C₂×C₄	—	104	1	no	—
1940	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1941	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1942	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1943	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1944	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1945	C₈	—	2	1	no	—
1946	C₈	—	2	1	no	—
1947	C₈	—	2	1	no	—
1948	C₈	—	13	2	no	—
1949	C₈	—	26	1	no	—
1950	C₈	—	26	1	no	—
1951	C₈	—	26	1	no	—
1952	C₈	C₂×D₄×D₁₃	1	2	yes	—
1953	C₂²	—	2	1	no	—
1954	C₂²	—	2	1	no	—
1955	C₂²	—	2	2	no	—
1956	C₂²	—	2	1	no	—
1957	C₂²	—	2	1	no	—
1958	C₂²	—	2	1	no	—
1959	C₂²	—	2	1	no	—
1960	C₂²	—	4	1	no	—
1961	C₂²	—	4	1	no	—
1962	C₂²	—	4	1	no	—
1963	C₂²	—	4	1	no	—
1964	C₂²	—	4	1	no	—
1965	C₂²	—	4	1	no	—
1966	C₂²	—	4	1	no	—
1967	C₂²	—	4	1	no	—
1968	C₂²	—	8	4	no	—
1969	C₂²	—	13	2	no	—
1970	C₂²	—	26	1	no	—
1971	C₂²	—	26	1	no	—
1972	C₂²	—	26	1	no	—
1973	C₂²	—	26	1	no	—
1974	C₂²	—	26	2	no	—
1975	C₂²	—	26	1	no	—
1976	C₂²	—	26	1	no	—
1977	C₂²	—	26	1	no	—
1978	C₂²	—	26	1	no	—
1979	C₂²	—	52	1	no	—
1980	C₂²	—	52	1	no	—
1981	C₂²	—	104	2	no	—
1982	C₂²	—	104	4	no	—
1983	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1984	C₄	—	2	1	no	—
1985	C₄	—	2	1	no	—
1986	C₄	—	2	2	no	—
1987	C₄	—	2	1	no	—
1988	C₄	—	2	1	no	—
1989	C₄	—	4	1	no	—
1990	C₄	—	4	1	no	—
1991	C₄	—	4	1	no	—
1992	C₄	—	4	1	no	—
1993	C₄	—	13	2	no	—
1994	C₄	—	26	1	no	—
1995	C₄	—	26	1	no	—
1996	C₄	—	26	2	no	—
1997	C₄	—	26	1	no	—
1998	C₄	—	26	1	no	—
1999	C₄	—	52	1	no	—
2000	C₄	—	52	1	no	—
2001	C₄	—	52	1	no	—
2002	C₄	—	52	1	no	—
2003	C₄	—	52	1	no	—
2004	C₄	—	52	1	no	—
2005	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
2006	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
2007	C₂	—	4	1	no	—
2008	C₂	—	4	1	no	—
2009	C₂	—	4	2	no	—
2010	C₂	—	8	1	no	—
2011	C₂	—	8	1	no	—
2012	C₂	—	26	2	no	—
2013	C₂	—	52	1	no	—
2014	C₂	—	52	1	no	—
2015	C₂	—	52	2	no	—
2016	C₂	D₄²×D₁₃	1	1	yes	characteristic
2017	C₂	#13129618	1	1	yes	characteristic
2018	C₂	#13129620	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3275	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3275	D₁₃
hypocenter	C₁₃	#61064
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3275

Complements

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

N	H ≅ G/N	type
1. C₂×#11719484	C₂	semidirect
2. C₂×#11719478	C₂	semidirect
3. #13128515	C₂	semidirect
4. #13128507	C₂	semidirect
5. #13126484	C₂	semidirect
6. #13126483	C₂	semidirect
7. #13126479	C₂	semidirect
8. #13126476	C₂	semidirect
9. #13126474	C₂	semidirect
10. #13126467	C₂	semidirect
11. #13126466	C₂	semidirect
12. #13126404	C₂	semidirect
13. #13126402	C₂	semidirect
14. #13126401	C₂	semidirect
15. #13126399	C₂	semidirect
16. #13126359	C₂	semidirect
17. #13126357	C₂	semidirect
18. #13126356	C₂	semidirect
19. #13126354	C₂	semidirect
20. #13125326	C₂	semidirect
21. #13124496	C₂	semidirect
22. D₁₃×#470	C₂	semidirect
23. #13124389	C₂	semidirect
24. #13124387	C₂	semidirect
25. #13124149	C₂	semidirect
26. #13124146	C₂	semidirect
27. #13124093	C₂	semidirect
28. #13124091	C₂	semidirect
29. #13123714	C₂	semidirect
30. #13123536	C₂	semidirect
31. C₁₃×#3275	C₂	semidirect
32. C₂×#88257	C₂²	semidirect
34. C₂×#88254	C₂²	semidirect
36. C₂×C₁₃×#137	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
43. C₂×#88204	C₂²	semidirect
44. Q₈×C₂²⋊D₁₃	C₂²	semidirect
45. C₂²×#6107	C₂²	semidirect
46. #11719511	C₂²	semidirect
50. C₂×#88172	C₂²	semidirect
51. C₂×#88172	C₂²	semidirect
52. C₂×Q₁₆×D₁₃	C₂²	semidirect
53. C₂×Q₁₆×D₁₃	C₂²	semidirect
56. C₂×#88170	C₂²	semidirect
59. C₂×#88169	C₂²	semidirect
60. C₂×#88169	C₂²	semidirect
61. C₂×#88169	C₂²	semidirect
62. C₂×#88169	C₂²	semidirect
68. C₂×#88163	C₂²	semidirect
69. C₂×#88161	C₂²	semidirect
73. #11719381	C₂²	semidirect
75. #11719380	C₂²	semidirect
76. #11719380	C₂²	semidirect
79. #11719337	C₂²	semidirect
86. #11719317	C₂²	semidirect
89. #11719313	C₂²	semidirect
90. #11719313	C₂²	semidirect
95. Q₈×D₅₂	C₂²	semidirect
96. #11719279	C₂²	semidirect
102. #11719251	C₂²	semidirect
103. D₄×Dic₂₆	C₂²	semidirect
106. C₁₃×#495	C₂²	semidirect
107. C₁₃×#470	C₂²	semidirect
108. C₁₃×#469	C₂²	semidirect
109. C₁₃×#464	C₂²	semidirect
110. C₁₃×#463	C₂²	semidirect
112. C₁₃×#450	C₂²	semidirect
113. C₁₃×#449	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₁₃×#436	C₂²	semidirect
118. #11718900	C₂²	semidirect
119. #11718889	C₂²	semidirect
120. #11718879	C₂²	semidirect
121. #11718850	C₂²	semidirect
122. #11718847	C₂²	semidirect
123. #11718843	C₂²	semidirect
124. #11718842	C₂²	semidirect
127. #11718833	C₂²	semidirect
128. #11718831	C₂²	semidirect
129. #11718831	C₂²	semidirect
130. #11718830	C₂²	semidirect
131. #11718828	C₂²	semidirect
132. #11718828	C₂²	semidirect
133. #11718827	C₂²	semidirect
134. #11718823	C₂²	semidirect
135. SD₁₆×Dic₁₃	C₂²	semidirect
136. #11718820	C₂²	semidirect
137. #11718819	C₂²	semidirect
138. #11718816	C₂²	semidirect
139. #11718814	C₂²	semidirect
140. #11718798	C₂²	semidirect
141. #11718798	C₂²	semidirect
142. #11718789	C₂²	semidirect
143. #11718789	C₂²	semidirect
144. #11718721	C₂²	semidirect
145. #11718721	C₂²	semidirect
146. #11718718	C₂²	semidirect
147. #11718715	C₂²	semidirect
148. #11718713	C₂²	semidirect
149. #11718713	C₂²	semidirect
150. #11718711	C₂²	semidirect
152. #11718702	C₂²	semidirect
153. #11718702	C₂²	semidirect
154. #11718701	C₂²	semidirect
155. #11718698	C₂²	semidirect
156. #11718692	C₂²	semidirect
157. #11718691	C₂²	semidirect
158. #11718680	C₂²	semidirect
159. #11718675	C₂²	semidirect
160. #11718672	C₂²	semidirect
161. #11718529	C₂²	semidirect
162. #11718529	C₂²	semidirect
163. D₁₃×#106	C₂²	semidirect
164. #11718513	C₂²	semidirect
165. #11718510	C₂²	semidirect
166. #11718502	C₂²	semidirect
167. #11718500	C₂²	semidirect
168. #11718497	C₂²	semidirect
169. #11718479	C₂²	semidirect
170. #11718477	C₂²	semidirect
171. #11718477	C₂²	semidirect
172. #11718471	C₂²	semidirect
173. #11718469	C₂²	semidirect
174. #11718469	C₂²	semidirect
175. #11718469	C₂²	semidirect
176. #11718464	C₂²	semidirect
177. D₁₃×#103	C₂²	semidirect
178. D₁₃×#103	C₂²	semidirect
179. #11718454	C₂²	semidirect
180. #11718450	C₂²	semidirect
181. #11718448	C₂²	semidirect
182. #11718446	C₂²	semidirect
185. #11718444	C₂²	semidirect
186. #11718439	C₂²	semidirect
187. #11718439	C₂²	semidirect
188. #11718437	C₂²	semidirect
189. #11718432	C₂²	semidirect
190. #11718432	C₂²	semidirect
191. #11718432	C₂²	semidirect
192. #11718428	C₂²	semidirect
193. #11718400	C₂²	semidirect
194. #11718400	C₂²	semidirect
196. #11718394	C₂²	semidirect
197. #11718391	C₂²	semidirect
198. #11718389	C₂²	semidirect
199. #11718388	C₂²	semidirect
201. #11718360	C₂²	semidirect
202. C₄×#6095	C₂²	semidirect
203. #11718350	C₂²	semidirect
204. #11718349	C₂²	semidirect
361. #88170	D₄	semidirect
810. #3275	D₁₃	semidirect
992. C₂×#137	C₂×D₁₃	semidirect
1031. #546	C₂×D₁₃	semidirect
1054. #495	C₂×D₁₃	semidirect
1066. #470	C₂×D₁₃	semidirect
1068. #469	C₂×D₁₃	semidirect
1076. #464	C₂×D₁₃	semidirect
1080. #463	C₂×D₁₃	semidirect
1112. #450	C₂×D₁₃	semidirect
1116. #449	C₂×D₁₃	semidirect
1120. #448	C₂×D₁₃	semidirect
1128. C₄×SD₁₆	C₂×D₁₃	semidirect
1132. #436	C₂×D₁₃	semidirect
1807. C₁₃	#61064	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719484	2
C₂×#11719478	2
#13128515	2
#13128507	2
#13126484	2
#13126483	2
#13126479	2
#13126476	2
#13126474	2
#13126467	2
#13126466	2
#13126404	2
#13126402	2
#13126401	2
#13126399	2
#13126359	2
#13126357	2
#13126356	2
#13126354	2
#13125326	2
#13124496	2
D₁₃×#470	2
#13124389	2
#13124387	2
#13124149	2
#13124146	2
#13124093	2
#13124091	2
#13123714	2
#13123536	2
C₁₃×#3275	2
#61064	13