Subgroups — #16747750

Order 3328.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128633	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#546	C₂	1	1	yes	maximal, characteristic
3	#13126920	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126918	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126916	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126915	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126914	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126913	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126353	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126351	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126350	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126348	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126344	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126343	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126342	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126341	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125840	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125837	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125644	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125637	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125610	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125607	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124937	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124933	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124097	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124093	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718437	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123861	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic
37	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
38	#11719511	C₂²	1	1	yes	characteristic
39	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88163	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
46	#11719435	C₂²	1	1	yes	characteristic, complemented
47	#11719433	C₂²	1	1	yes	characteristic, complemented
48	#11719395	—	2	1	no	—
49	#11719394	—	2	1	no	—
50	#11719381	C₂²	1	1	yes	characteristic
51	D₁₃×#124	C₂²	1	1	yes	characteristic
52	#11719359	—	2	1	no	—
53	D₁₃×#123	—	2	1	no	—
54	#11719340	—	2	1	no	—
55	#11719340	—	2	1	no	—
56	#11719339	—	2	1	no	—
57	#11719339	—	2	1	no	—
58	#11719337	C₂²	1	1	yes	characteristic, complemented
59	#11719337	C₂²	1	1	yes	characteristic, complemented
60	#11719335	C₂²	1	1	yes	characteristic
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#11719317	C₂²	1	1	yes	characteristic
65	#11719315	—	2	1	no	—
66	D₁₃×#121	—	2	1	no	—
67	D₁₃×#121	C₂²	1	1	yes	characteristic
68	#11719296	—	2	1	no	—
69	D₁₃×#120	—	2	1	no	—
70	#11719283	C₂²	1	1	yes	characteristic, complemented
71	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
72	#11719259	C₂²	1	1	yes	characteristic
73	#11719255	C₂²	1	1	yes	characteristic
74	#11719250	—	2	1	no	—
75	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	#11719248	—	2	1	no	—
78	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
79	#11719216	C₂²	1	1	yes	characteristic, complemented
80	#11719216	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88151	C₂²	1	1	yes	characteristic
82	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
83	#11719195	—	2	1	no	—
84	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
85	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718851	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718831	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic
105	#11718830	C₂²	1	1	yes	characteristic
106	#11718828	C₂²	1	1	yes	characteristic, complemented
107	#11718823	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718788	C₂²	1	1	yes	characteristic, complemented
110	#11718787	C₂²	1	1	yes	characteristic, complemented
111	#11718777	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88060	C₂²	1	1	yes	characteristic
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718748	C₂²	1	1	yes	characteristic, complemented
116	#11718721	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718710	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718707	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718701	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	#11718680	C₂²	1	1	yes	characteristic, complemented
129	#11718679	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718631	C₂²	1	1	yes	characteristic, complemented
132	#11718628	C₂²	1	1	yes	characteristic, complemented
133	#11718627	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
135	#11718551	C₂²	1	1	yes	characteristic, complemented
136	#11718550	C₂²	1	1	yes	characteristic, complemented
137	#11718550	C₂²	1	1	yes	characteristic, complemented
138	#11718548	C₂²	1	1	yes	characteristic, complemented
139	#11718548	C₂²	1	1	yes	characteristic, complemented
140	#11718547	C₂²	1	1	yes	characteristic, complemented
141	#11718547	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718545	C₂²	1	1	yes	characteristic, complemented
144	#11718545	C₂²	1	1	yes	characteristic, complemented
145	#11718545	C₂²	1	1	yes	characteristic, complemented
146	#11718543	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718502	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	#11718496	C₂²	1	1	yes	characteristic, complemented
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718474	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic, complemented
154	#11718471	C₂²	1	1	yes	characteristic, complemented
155	#11718471	C₂²	1	1	yes	characteristic, complemented
156	#11718470	C₂²	1	1	yes	characteristic, complemented
157	#11718470	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718469	C₂²	1	1	yes	characteristic, complemented
160	#11718469	C₂²	1	1	yes	characteristic, complemented
161	#11718469	C₂²	1	1	yes	characteristic, complemented
162	#11718467	C₂²	1	1	yes	characteristic, complemented
163	#11718464	C₂²	1	1	yes	characteristic, complemented
164	#11718459	C₂²	1	1	yes	characteristic, complemented
165	#11718459	C₂²	1	1	yes	characteristic, complemented
166	#11718456	C₂²	1	1	yes	characteristic, complemented
167	#11718444	C₂²	1	1	yes	characteristic, complemented
168	#11718444	C₂²	1	1	yes	characteristic, complemented
169	#11718441	C₂²	1	1	yes	characteristic, complemented
170	#11718441	C₂²	1	1	yes	characteristic, complemented
171	#11718437	C₂²	1	1	yes	characteristic
172	#11718437	C₂²	1	1	yes	characteristic
173	#11718437	C₂²	1	1	yes	characteristic
174	#11718437	C₂²	1	1	yes	characteristic
175	#11718437	C₂²	1	1	yes	characteristic
176	#11718437	C₂²	1	1	yes	characteristic
177	#11718437	C₂²	1	1	yes	characteristic, complemented
178	#11718437	C₂²	1	1	yes	characteristic, complemented
179	#11718437	C₂²	1	1	yes	characteristic, complemented
180	#11718437	C₂²	1	1	yes	characteristic, complemented
181	#11718435	C₂²	1	1	yes	characteristic, complemented
182	#11718432	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
185	#11718428	C₂²	1	1	yes	characteristic, complemented
186	#11718428	C₂²	1	1	yes	characteristic, complemented
187	#11718426	C₂²	1	1	yes	characteristic, complemented
188	#11718420	C₂²	1	1	yes	characteristic, complemented
189	#11718418	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#11718376	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	#11718366	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	—	2	1	no	—
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	4	2	no	—
220	C₂×D₄×D₁₃	—	4	2	no	—
221	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6127	—	2	1	no	—
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×D₅₂	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
241	C₁₃×#125	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#120	—	2	1	no	—
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
258	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
259	#88207	—	2	1	no	—
260	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
261	#88205	—	4	2	no	—
262	#88201	C₂³	1	1	yes	characteristic
263	#88200	—	2	1	no	—
264	#88200	—	2	1	no	—
265	#88200	—	2	1	no	—
266	#88200	C₂³	1	1	yes	characteristic
267	#88200	C₂³	1	1	yes	characteristic
268	Q₈×Dic₁₃	—	2	1	no	—
269	#88198	C₂³	1	1	yes	characteristic, complemented
270	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
271	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
272	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
273	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	C₂³	1	1	yes	characteristic
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88190	C₂³	1	1	yes	characteristic
285	#88189	—	2	1	no	—
286	D₄×Dic₁₃	—	2	1	no	—
287	D₄×Dic₁₃	D₄	1	1	yes	characteristic
288	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×#6105	—	4	2	no	—
290	C₂×#6105	C₂³	1	1	yes	characteristic
291	C₂×#6105	C₂³	1	1	yes	characteristic
292	C₂×#6105	C₂³	1	1	yes	characteristic
293	C₂×#6105	C₂³	1	1	yes	characteristic
294	C₂×#6105	C₂³	1	1	yes	characteristic
295	C₂×#6105	C₂³	1	1	yes	characteristic
296	#88184	—	2	1	no	—
297	#88184	C₂³	1	1	yes	characteristic
298	#88183	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
303	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
304	C₂×#6103	—	2	1	no	—
305	C₂×#6103	—	2	1	no	—
306	C₂×#6103	—	2	1	no	—
307	C₂×#6103	—	2	1	no	—
308	C₂×C₄⋊Dic₁₃	—	2	1	no	—
309	C₂×C₄⋊Dic₁₃	—	2	1	no	—
310	#88178	—	2	1	no	—
311	#88178	—	2	1	no	—
312	#88178	C₂³	1	1	yes	characteristic
313	#88178	C₂³	1	1	yes	characteristic
314	#88178	C₂³	1	1	yes	characteristic, complemented
315	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
316	C₂²×#1055	C₂³	1	1	yes	characteristic
317	#88172	—	4	2	no	—
318	#88169	—	4	2	no	—
319	SD₁₆×D₁₃	—	4	2	no	—
320	SD₁₆×D₁₃	—	4	2	no	—
321	#88163	—	4	2	no	—
322	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
323	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
324	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
325	C₂×#6095	—	4	2	no	—
326	C₂×#6095	C₂³	1	1	yes	characteristic
327	C₂×#6095	C₂³	1	1	yes	characteristic
328	C₂×#6095	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic
330	C₂×#6095	C₂³	1	1	yes	characteristic
331	C₂×#6095	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
333	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	#88151	—	2	1	no	—
337	#88151	—	2	1	no	—
338	#88151	—	2	1	no	—
339	#88151	—	2	1	no	—
340	#88151	—	2	1	no	—
341	#88151	—	2	1	no	—
342	#88151	C₂³	1	1	yes	characteristic
343	#88151	C₂³	1	1	yes	characteristic
344	#88151	C₂³	1	1	yes	characteristic
345	#88151	C₂³	1	1	yes	characteristic
346	#88151	C₂³	1	1	yes	characteristic
347	#88151	C₂³	1	1	yes	characteristic
348	#88151	C₂³	1	1	yes	characteristic, complemented
349	#88151	C₂³	1	1	yes	characteristic, complemented
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88150	—	2	1	no	—
357	#88150	—	2	1	no	—
358	#88149	—	2	1	no	—
359	#88149	C₂³	1	1	yes	characteristic
360	#88148	—	2	1	no	—
361	#88148	—	2	1	no	—
362	#88147	—	2	1	no	—
363	#88147	D₄	1	1	yes	characteristic
364	#88147	C₂³	1	1	yes	characteristic
365	#88146	—	2	1	no	—
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
373	#88144	—	2	1	no	—
374	#88144	—	2	1	no	—
375	#88143	—	2	1	no	—
376	#88143	—	2	1	no	—
377	#88143	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	C₂³	1	1	yes	characteristic, complemented
382	#88141	C₂³	1	1	yes	characteristic, complemented
383	#88141	C₂³	1	1	yes	characteristic, complemented
384	#88140	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	D₄	1	1	yes	characteristic
399	#88135	D₄	1	1	yes	characteristic
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
412	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	—	2	1	no	—
420	#88129	C₂³	1	1	yes	characteristic
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	#88126	—	2	1	no	—
425	C₄²×D₁₃	C₂³	1	1	yes	characteristic
426	#88123	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic, complemented
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
430	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
434	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
436	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
437	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
438	C₁₃×#102	C₂³	1	1	yes	characteristic
439	C₁₃×#102	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
446	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
447	#88075	C₂³	1	1	yes	characteristic, complemented
448	#88075	C₂³	1	1	yes	characteristic, complemented
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic, complemented
462	#88060	C₂³	1	1	yes	characteristic, complemented
463	#88058	C₂³	1	1	yes	characteristic, complemented
464	#88056	C₂³	1	1	yes	characteristic, complemented
465	#88056	C₂³	1	1	yes	characteristic, complemented
466	#88056	C₂³	1	1	yes	characteristic, complemented
467	#88056	C₂³	1	1	yes	characteristic, complemented
468	#88055	C₂³	1	1	yes	characteristic, complemented
469	#88055	C₂³	1	1	yes	characteristic, complemented
470	#88054	C₂³	1	1	yes	characteristic, complemented
471	#88054	C₂³	1	1	yes	characteristic, complemented
472	#88050	C₂³	1	1	yes	characteristic, complemented
473	#88050	C₂³	1	1	yes	characteristic, complemented
474	#88050	C₂³	1	1	yes	characteristic, complemented
475	#88050	C₂³	1	1	yes	characteristic, complemented
476	#88050	C₂³	1	1	yes	characteristic, complemented
477	#88050	C₂³	1	1	yes	characteristic, complemented
478	#88049	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic, complemented
485	#88047	C₂³	1	1	yes	characteristic, complemented
486	#88047	C₂³	1	1	yes	characteristic, complemented
487	#88047	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
489	#88043	C₂³	1	1	yes	characteristic, complemented
490	#61570	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	4	4	no	—
498	C₂³×D₁₃	—	4	4	no	—
499	C₂³×D₁₃	—	8	2	no	—
500	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
502	C₁₃×#41	—	2	2	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	2	1	no	—
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	—	2	2	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	4	4	no	—
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₃	—	2	1	no	—
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
538	#6131	—	2	2	no	—
539	#6131	—	4	1	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	1	no	—
544	Q₈×D₁₃	—	4	1	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	#6129	—	2	2	no	—
547	#6129	—	4	1	no	—
548	#6129	—	4	4	no	—
549	D₄×D₁₃	—	2	4	no	—
550	D₄×D₁₃	—	2	2	no	—
551	D₄×D₁₃	—	2	2	no	—
552	D₄×D₁₃	—	2	2	no	—
553	D₄×D₁₃	—	2	2	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	1	no	—
556	D₄×D₁₃	—	4	1	no	—
557	D₄×D₁₃	—	4	1	no	—
558	D₄×D₁₃	—	4	4	no	—
559	D₄×D₁₃	—	4	4	no	—
560	D₄×D₁₃	—	4	4	no	—
561	D₄×D₁₃	—	8	2	no	—
562	#6127	—	2	2	no	—
563	#6127	—	4	1	no	—
564	#6127	—	4	4	no	—
565	C₂×D₅₂	—	2	2	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	4	1	no	—
570	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
571	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
572	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	4	1	no	—
584	C₂×C₄×D₁₃	—	4	1	no	—
585	C₂×C₄×D₁₃	—	4	1	no	—
586	C₂×C₄×D₁₃	—	4	1	no	—
587	C₂×C₄×D₁₃	—	4	4	no	—
588	C₂×C₄×D₁₃	—	8	2	no	—
589	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	—	2	1	no	—
604	C₂×Dic₂₆	—	4	1	no	—
605	C₂×Dic₂₆	—	4	1	no	—
606	C₂×Dic₂₆	—	4	1	no	—
607	C₂×Dic₂₆	—	4	1	no	—
608	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
611	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
612	C₁₃×Q₁₆	—	4	1	no	—
613	C₁₃×SD₁₆	—	2	2	no	—
614	C₁₃×SD₁₆	—	4	1	no	—
615	C₁₃×M₁₆	—	4	1	no	—
616	C₂×C₈×C₁₃	—	4	1	no	—
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₄²×C₁₃	—	2	1	no	—
643	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	#6107	—	4	1	no	—
654	#6107	—	4	1	no	—
655	#6107	—	4	1	no	—
656	#6107	—	4	1	no	—
657	#6106	—	2	2	no	—
658	#6106	—	4	1	no	—
659	#6105	—	2	2	no	—
660	#6105	—	2	2	no	—
661	#6105	—	2	2	no	—
662	#6105	—	4	1	no	—
663	#6105	—	4	1	no	—
664	#6105	—	4	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	C₂×D₄	1	1	yes	characteristic
684	#6103	C₂×D₄	1	1	yes	characteristic
685	#6103	C₂×D₄	1	1	yes	characteristic
686	#6103	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₁₃	—	2	1	no	—
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	—	2	1	no	—
690	C₄⋊Dic₁₃	—	2	1	no	—
691	C₄⋊Dic₁₃	—	2	1	no	—
692	C₄⋊Dic₁₃	—	2	1	no	—
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	C₂×D₄	1	1	yes	characteristic
715	#6101	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
722	#6099	—	4	1	no	—
723	C₂×#1055	—	4	1	no	—
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	Dic₅₂	—	4	1	no	—
731	#6095	—	2	2	no	—
732	#6095	—	2	2	no	—
733	#6095	—	2	2	no	—
734	#6095	—	4	1	no	—
735	#6095	—	4	1	no	—
736	#6095	—	4	1	no	—
737	#6094	—	4	1	no	—
738	#6094	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	#3501	—	13	1	no	—
742	C₂×#546	—	13	1	no	—
743	#3314	—	13	1	no	—
744	#3314	—	13	1	no	—
745	#3314	—	13	1	no	—
746	#3314	—	13	1	no	—
747	#3314	—	13	1	no	—
748	#3314	—	13	1	no	—
749	#3314	—	13	1	no	—
750	#3314	D₁₃	1	1	yes	characteristic, complemented
751	#3266	—	13	1	no	—
752	#3266	—	13	1	no	—
753	#3266	—	13	1	no	—
754	#3266	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3266	—	13	1	no	—
757	#3266	—	13	1	no	—
758	#3266	—	13	1	no	—
759	#3215	—	13	1	no	—
760	#3215	—	13	1	no	—
761	#3193	—	13	1	no	—
762	#3193	—	13	1	no	—
763	#3189	—	13	1	no	—
764	#3189	—	13	1	no	—
765	#3110	—	13	1	no	—
766	#3110	—	13	1	no	—
767	#3007	—	13	1	no	—
768	#3007	—	13	1	no	—
769	C₂×#450	—	13	1	no	—
770	C₂×#450	—	13	1	no	—
771	#2973	—	13	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	4	2	no	—
775	C₂³×C₁₃	—	4	2	no	—
776	C₂³×C₁₃	—	8	1	no	—
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	—	2	4	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	1	no	—
783	C₂²×D₁₃	—	4	1	no	—
784	C₂²×D₁₃	—	4	1	no	—
785	C₂²×D₁₃	—	4	1	no	—
786	C₂²×D₁₃	—	4	1	no	—
787	C₂²×D₁₃	—	4	2	no	—
788	C₂²×D₁₃	—	4	2	no	—
789	C₂²×D₁₃	—	4	2	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	4	2	no	—
793	C₂²×D₁₃	—	4	2	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	—	8	1	no	—
801	C₂²×D₁₃	—	8	16	no	—
802	C₂²×D₁₃	#137	1	4	yes	complemented
803	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	2	1	no	—
810	Q₈×C₁₃	—	8	1	no	—
811	D₄×C₁₃	—	2	2	no	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	4	2	no	—
816	D₄×C₁₃	—	4	2	no	—
817	D₄×C₁₃	—	8	1	no	—
818	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	4	2	no	—
830	C₂×C₄×C₁₃	—	8	1	no	—
831	C₂×C₄×C₁₃	—	8	1	no	—
832	C₂×C₄×C₁₃	—	8	1	no	—
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
838	C₂²⋊D₁₃	—	2	4	no	—
839	C₂²⋊D₁₃	—	2	2	no	—
840	C₂²⋊D₁₃	—	2	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	2	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	4	1	no	—
855	C₂×Dic₁₃	—	4	1	no	—
856	C₂×Dic₁₃	—	4	2	no	—
857	C₂×Dic₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	8	1	no	—
859	C₂×Dic₁₃	—	8	1	no	—
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	D₅₂	—	2	2	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	4	2	no	—
870	D₅₂	—	4	2	no	—
871	D₅₂	—	8	1	no	—
872	D₅₂	H(5,𝔽₂)	1	2	yes	—
873	C₄×D₁₃	—	2	2	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	1	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	4	1	no	—
881	C₄×D₁₃	—	4	1	no	—
882	C₄×D₁₃	—	4	1	no	—
883	C₄×D₁₃	—	4	1	no	—
884	C₄×D₁₃	—	4	1	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	8	1	no	—
890	C₄×D₁₃	—	8	1	no	—
891	C₄×D₁₃	—	8	1	no	—
892	C₄×D₁₃	—	8	1	no	—
893	C₄×D₁₃	—	8	1	no	—
894	C₄×D₁₃	—	8	1	no	—
895	Dic₂₆	—	2	1	no	—
896	Dic₂₆	—	2	1	no	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	2	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	2	1	no	—
901	Dic₂₆	—	2	1	no	—
902	Dic₂₆	—	2	1	no	—
903	Dic₂₆	—	4	2	no	—
904	Dic₂₆	—	8	1	no	—
905	Dic₂₆	—	8	1	no	—
906	Dic₂₆	—	8	1	no	—
907	Dic₂₆	—	8	1	no	—
908	Dic₂₆	—	8	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	C₈×C₁₃	—	2	1	no	—
913	#1055	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	#1055	—	2	1	no	—
917	C₂²×#41	—	13	1	no	—
918	C₂³×D₄	—	13	1	no	—
919	C₂×#137	—	13	1	no	—
920	C₂×#137	—	13	1	no	—
921	C₂×#137	—	13	1	no	—
922	C₂×#137	—	13	1	no	—
923	C₂²×SD₁₆	—	13	1	no	—
924	C₂²×SD₁₆	—	13	1	no	—
925	C₂²×SD₁₆	—	13	1	no	—
926	C₂²×SD₁₆	—	13	1	no	—
927	#554	—	13	1	no	—
928	#554	—	13	1	no	—
929	#554	—	13	1	no	—
930	#554	—	26	1	no	—
931	#554	—	26	1	no	—
932	#554	—	26	1	no	—
933	#554	—	26	1	no	—
934	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
935	D₄×Q₈	—	13	1	no	—
936	D₄×Q₈	—	13	1	no	—
937	D₄×Q₈	—	13	1	no	—
938	D₄×Q₈	—	13	1	no	—
939	#546	—	13	1	no	—
940	#546	—	13	1	no	—
941	#546	—	13	1	no	—
942	#546	—	13	1	no	—
943	#546	—	13	1	no	—
944	#546	—	13	1	no	—
945	#546	—	13	1	no	—
946	#546	—	26	1	no	—
947	#546	—	26	1	no	—
948	#546	—	26	1	no	—
949	#546	—	26	1	no	—
950	#546	C₂×D₁₃	1	1	yes	characteristic
951	#544	—	26	1	no	—
952	#543	—	26	1	no	—
953	#543	—	26	1	no	—
954	#533	—	13	1	no	—
955	#533	—	13	1	no	—
956	C₂×#124	—	13	1	no	—
957	C₂×#123	—	26	1	no	—
958	C₂×C₂²⋊Q₈	—	13	1	no	—
959	C₂×C₂²⋊Q₈	—	13	1	no	—
960	C₂×C₂²⋊Q₈	—	13	1	no	—
961	C₂×C₂²⋊Q₈	—	13	1	no	—
962	C₂×C₂²⋊Q₈	—	13	1	no	—
963	C₂×#121	—	13	1	no	—
964	C₂×#121	—	26	1	no	—
965	C₂×#120	—	26	1	no	—
966	#518	—	26	1	no	—
967	C₂×C₄×D₄	—	13	1	no	—
968	C₂×C₄×D₄	—	13	1	no	—
969	C₂²×C₂²⋊C₄	—	26	1	no	—
970	#497	—	13	1	no	—
971	#497	—	13	1	no	—
972	#497	—	13	1	no	—
973	#497	—	13	1	no	—
974	#489	—	13	1	no	—
975	#489	—	13	1	no	—
976	#489	—	13	1	no	—
977	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#484	—	13	1	no	—
979	#484	—	13	1	no	—
980	#484	—	13	1	no	—
981	#484	—	13	1	no	—
982	#484	—	13	1	no	—
983	#484	—	13	1	no	—
984	#484	—	13	1	no	—
985	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#480	—	13	1	no	—
987	#480	—	13	1	no	—
988	#480	—	13	1	no	—
989	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#474	—	13	1	no	—
991	#474	—	13	1	no	—
992	#474	—	13	1	no	—
993	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
994	#468	—	13	1	no	—
995	#468	—	13	1	no	—
996	#468	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#468	—	13	1	no	—
1001	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#467	—	13	1	no	—
1003	#467	—	13	1	no	—
1004	#467	—	13	1	no	—
1005	#467	—	13	1	no	—
1006	#467	—	13	1	no	—
1007	#467	—	13	1	no	—
1008	#467	—	13	1	no	—
1009	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#464	—	13	1	no	—
1011	#464	—	13	1	no	—
1012	#464	—	13	1	no	—
1013	#464	—	13	1	no	—
1014	#464	—	13	1	no	—
1015	#464	—	13	1	no	—
1016	#464	—	13	1	no	—
1017	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#461	—	13	1	no	—
1019	#461	—	13	1	no	—
1020	#461	—	13	1	no	—
1021	#461	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	#451	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#451	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#451	—	13	1	no	—
1035	#451	—	13	1	no	—
1036	#451	—	13	1	no	—
1037	#451	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#450	—	13	1	no	—
1040	#450	—	13	1	no	—
1041	#450	—	13	1	no	—
1042	#450	—	13	1	no	—
1043	#450	—	13	1	no	—
1044	#450	—	13	1	no	—
1045	#450	—	13	1	no	—
1046	#450	—	13	1	no	—
1047	#450	—	13	1	no	—
1048	#450	—	13	1	no	—
1049	#450	—	13	1	no	—
1050	#450	—	13	1	no	—
1051	#450	—	13	1	no	—
1052	#450	—	13	1	no	—
1053	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	#448	—	13	1	no	—
1055	#448	—	13	1	no	—
1056	#448	—	13	1	no	—
1057	#448	—	13	1	no	—
1058	#440	—	13	1	no	—
1059	#440	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	#440	—	13	1	no	—
1062	#440	—	13	1	no	—
1063	#440	—	13	1	no	—
1064	#440	—	13	1	no	—
1065	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	#435	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	—	13	1	no	—
1071	#435	—	13	1	no	—
1072	#435	—	13	1	no	—
1073	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1074	#432	—	13	1	no	—
1075	#432	—	13	1	no	—
1076	#417	—	13	1	no	—
1077	#417	—	13	1	no	—
1078	#417	—	13	1	no	—
1079	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	C₂×#102	—	13	1	no	—
1081	C₂×#102	—	13	1	no	—
1082	C₂×#102	—	13	1	no	—
1083	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1084	#407	—	13	1	no	—
1085	#407	—	13	1	no	—
1086	C₂×C₂²⋊C₈	—	13	1	no	—
1087	C₂×C₂²⋊C₈	—	13	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	2	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	8	4	no	—
1100	C₂²×C₁₃	C₂×#137	1	2	yes	—
1101	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1102	C₂×D₁₃	—	2	1	no	—
1103	C₂×D₁₃	—	2	1	no	—
1104	C₂×D₁₃	—	2	1	no	—
1105	C₂×D₁₃	—	2	1	no	—
1106	C₂×D₁₃	—	2	1	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	2	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	4	4	no	—
1111	C₂×D₁₃	—	4	8	no	—
1112	C₂×D₁₃	—	4	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	4	1	no	—
1115	C₂×D₁₃	—	4	1	no	—
1116	C₂×D₁₃	—	4	1	no	—
1117	C₂×D₁₃	—	8	2	no	—
1118	C₂×D₁₃	—	8	4	no	—
1119	C₂×D₁₃	—	8	4	no	—
1120	C₂×D₁₃	—	8	4	no	—
1121	C₂×D₁₃	—	8	4	no	—
1122	C₂×D₁₃	C₂×#137	1	2	yes	—
1123	C₂×D₁₃	C₂×#137	1	2	yes	—
1124	C₄×C₁₃	—	2	1	no	—
1125	C₄×C₁₃	—	2	1	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	4	1	no	—
1129	C₄×C₁₃	—	4	1	no	—
1130	C₄×C₁₃	—	4	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	—	4	1	no	—
1133	C₄×C₁₃	—	4	1	no	—
1134	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1135	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1136	Dic₁₃	—	2	1	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	2	1	no	—
1139	Dic₁₃	—	2	1	no	—
1140	Dic₁₃	—	2	1	no	—
1141	Dic₁₃	—	4	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	C₂⁵	—	26	1	no	—
1148	C₂×#41	—	13	1	no	—
1149	C₂×#41	—	13	1	no	—
1150	C₂×#41	—	13	1	no	—
1151	C₂×#41	—	26	1	no	—
1152	C₂×#41	—	26	1	no	—
1153	C₂×#41	—	52	2	no	—
1154	C₂×#41	—	52	2	no	—
1155	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂²×Q₈	—	13	1	no	—
1157	C₂²×Q₈	—	13	1	no	—
1158	C₂²×Q₈	—	13	1	no	—
1159	C₂²×Q₈	—	13	1	no	—
1160	C₂²×Q₈	—	13	1	no	—
1161	C₂²×D₄	—	13	1	no	—
1162	C₂²×D₄	—	13	1	no	—
1163	C₂²×D₄	—	13	1	no	—
1164	C₂²×D₄	—	13	1	no	—
1165	C₂²×D₄	—	13	1	no	—
1166	C₂²×D₄	—	13	1	no	—
1167	C₂²×D₄	—	26	1	no	—
1168	C₂²×D₄	—	26	1	no	—
1169	C₂²×D₄	—	26	1	no	—
1170	C₂²×D₄	—	26	1	no	—
1171	C₂²×D₄	—	26	1	no	—
1172	C₂²×D₄	—	52	2	no	—
1173	C₂²×D₄	—	52	2	no	—
1174	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1175	C₂³×C₄	—	13	1	no	—
1176	C₂³×C₄	—	13	1	no	—
1177	C₂³×C₄	—	26	1	no	—
1178	C₂³×C₄	—	26	1	no	—
1179	#137	—	52	2	no	—
1180	#137	—	52	2	no	—
1181	#137	—	52	2	no	—
1182	#137	—	52	2	no	—
1183	C₂×Q₁₆	—	13	1	no	—
1184	C₂×Q₁₆	—	13	1	no	—
1185	C₂×Q₁₆	—	13	1	no	—
1186	C₂×Q₁₆	—	13	1	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	13	1	no	—
1203	C₂×SD₁₆	—	13	1	no	—
1204	C₂×SD₁₆	—	13	1	no	—
1205	C₂×SD₁₆	—	52	2	no	—
1206	C₂×SD₁₆	—	52	2	no	—
1207	C₂×SD₁₆	—	52	2	no	—
1208	C₂×SD₁₆	—	52	2	no	—
1209	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×M₁₆	—	13	1	no	—
1212	C₂×M₁₆	—	13	1	no	—
1213	C₂×M₁₆	—	13	1	no	—
1214	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1215	C₂²×C₈	—	13	1	no	—
1216	C₂²×C₈	—	13	1	no	—
1217	C₂²×C₈	—	13	1	no	—
1218	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1219	C₄⋊Q₈	—	13	1	no	—
1220	C₄⋊Q₈	—	13	1	no	—
1221	C₄⋊Q₈	—	13	1	no	—
1222	C₄⋊Q₈	—	26	1	no	—
1223	C₄⋊Q₈	—	26	1	no	—
1224	C₄⋊Q₈	—	26	1	no	—
1225	C₄⋊Q₈	—	26	1	no	—
1226	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1227	#125	—	2	1	no	—
1228	#125	—	26	1	no	—
1229	#125	—	26	1	no	—
1230	#125	—	26	1	no	—
1231	#125	—	26	1	no	—
1232	#125	—	26	1	no	—
1233	#124	—	13	1	no	—
1234	#124	—	13	1	no	—
1235	#124	—	13	1	no	—
1236	#124	—	26	1	no	—
1237	#124	—	26	1	no	—
1238	#124	C₂²×D₁₃	1	1	yes	characteristic
1239	#123	—	2	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	13	1	no	—
1258	C₂²⋊Q₈	—	13	1	no	—
1259	C₂²⋊Q₈	—	13	1	no	—
1260	C₂²⋊Q₈	—	13	1	no	—
1261	C₂²⋊Q₈	—	13	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	—	26	1	no	—
1277	C₂²⋊Q₈	—	26	1	no	—
1278	C₂²⋊Q₈	—	26	1	no	—
1279	C₂²⋊Q₈	—	26	1	no	—
1280	C₂²⋊Q₈	—	26	1	no	—
1281	C₂²⋊Q₈	—	26	1	no	—
1282	C₂²⋊Q₈	—	26	1	no	—
1283	C₂²⋊Q₈	—	26	1	no	—
1284	C₂²⋊Q₈	—	26	1	no	—
1285	C₂²⋊Q₈	—	26	1	no	—
1286	C₂²⋊Q₈	—	26	1	no	—
1287	C₂²⋊Q₈	—	26	1	no	—
1288	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1289	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1290	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1291	#121	—	2	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	C₂²×D₁₃	1	1	yes	characteristic
1305	#120	—	2	1	no	—
1306	#120	—	26	1	no	—
1307	#120	—	26	1	no	—
1308	#120	—	26	1	no	—
1309	#120	—	26	1	no	—
1310	#120	—	26	1	no	—
1311	#120	—	26	1	no	—
1312	#120	—	26	1	no	—
1313	C₄×Q₈	—	13	1	no	—
1314	C₄×Q₈	—	13	1	no	—
1315	C₄×Q₈	—	13	1	no	—
1316	C₄×Q₈	—	26	1	no	—
1317	C₄×Q₈	—	26	1	no	—
1318	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1319	C₄×D₄	—	2	1	no	—
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	13	1	no	—
1322	C₄×D₄	—	13	1	no	—
1323	C₄×D₄	—	13	1	no	—
1324	C₄×D₄	—	13	1	no	—
1325	C₄×D₄	—	13	1	no	—
1326	C₄×D₄	—	13	1	no	—
1327	C₄×D₄	—	13	1	no	—
1328	C₄×D₄	—	13	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	—	26	1	no	—
1338	C₄×D₄	—	26	1	no	—
1339	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1340	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1341	#117	—	26	1	no	—
1342	#117	—	26	1	no	—
1343	C₂×C₄⋊C₄	—	13	1	no	—
1344	C₂×C₄⋊C₄	—	13	1	no	—
1345	C₂×C₄⋊C₄	—	13	1	no	—
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₄⋊C₄	—	26	1	no	—
1349	C₂×C₄⋊C₄	—	26	1	no	—
1350	C₂×C₄⋊C₄	—	26	1	no	—
1351	C₂×C₄⋊C₄	—	26	1	no	—
1352	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1353	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1354	C₂×C₂²⋊C₄	—	2	1	no	—
1355	C₂×C₂²⋊C₄	—	13	1	no	—
1356	C₂×C₂²⋊C₄	—	13	1	no	—
1357	C₂×C₂²⋊C₄	—	26	1	no	—
1358	C₂×C₂²⋊C₄	—	26	1	no	—
1359	C₂×C₂²⋊C₄	—	26	1	no	—
1360	C₂×C₂²⋊C₄	—	26	1	no	—
1361	C₂×C₂²⋊C₄	—	26	1	no	—
1362	C₂×C₂²⋊C₄	—	26	1	no	—
1363	C₂×C₂²⋊C₄	—	26	1	no	—
1364	C₂×C₂²⋊C₄	—	26	1	no	—
1365	C₂×C₂²⋊C₄	—	26	1	no	—
1366	C₂×C₂²⋊C₄	—	26	1	no	—
1367	C₂×C₂²⋊C₄	—	26	1	no	—
1368	C₂×C₂²⋊C₄	—	26	1	no	—
1369	C₂×C₂²⋊C₄	—	26	1	no	—
1370	C₂×C₂²⋊C₄	—	26	1	no	—
1371	C₂×C₂²⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₄²	—	13	1	no	—
1374	#107	—	13	1	no	—
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#107	—	13	1	no	—
1378	#107	—	13	1	no	—
1379	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1380	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1381	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1382	C₄⋊C₈	—	13	1	no	—
1383	C₄⋊C₈	—	13	1	no	—
1384	C₄⋊C₈	—	13	1	no	—
1385	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1399	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1400	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1401	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	C₂²×D₁₃	1	1	yes	characteristic
1413	#102	C₂²×D₁₃	1	1	yes	characteristic
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic
1416	#102	C₂²×D₁₃	1	1	yes	characteristic
1417	#102	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1430	#97	—	13	1	no	—
1431	#97	—	13	1	no	—
1432	#97	—	13	1	no	—
1433	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1434	C₂×C₁₃	—	2	2	no	—
1435	C₂×C₁₃	—	4	2	no	—
1436	C₂×C₁₃	—	4	1	no	—
1437	C₂×C₁₃	—	8	1	no	—
1438	C₂×C₁₃	#3484	1	1	yes	characteristic
1439	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1440	C₂×C₁₃	#3585	1	1	yes	characteristic
1441	D₁₃	—	2	2	no	—
1442	D₁₃	—	2	2	no	—
1443	D₁₃	—	4	1	no	—
1444	D₁₃	—	4	2	no	—
1445	D₁₃	—	8	1	no	—
1446	C₂⁴	—	2	1	no	—
1447	C₂⁴	—	13	1	no	—
1448	C₂⁴	—	13	1	no	—
1449	C₂⁴	—	26	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	C₂⁴	—	26	1	no	—
1452	C₂⁴	—	26	1	no	—
1453	C₂⁴	—	26	1	no	—
1454	C₂⁴	—	52	4	no	—
1455	C₂⁴	—	52	4	no	—
1456	C₂⁴	—	104	2	no	—
1457	#41	—	2	2	no	—
1458	#41	—	4	1	no	—
1459	#41	—	26	2	no	—
1460	#41	—	26	2	no	—
1461	#41	—	26	2	no	—
1462	#41	—	52	1	no	—
1463	#41	—	52	4	no	—
1464	#41	—	52	1	no	—
1465	#41	—	52	1	no	—
1466	#41	—	52	4	no	—
1467	C₂×Q₈	—	2	1	no	—
1468	C₂×Q₈	—	13	1	no	—
1469	C₂×Q₈	—	13	1	no	—
1470	C₂×Q₈	—	13	1	no	—
1471	C₂×Q₈	—	13	1	no	—
1472	C₂×Q₈	—	26	1	no	—
1473	C₂×Q₈	—	26	1	no	—
1474	C₂×Q₈	—	26	1	no	—
1475	C₂×Q₈	—	26	1	no	—
1476	C₂×Q₈	—	26	1	no	—
1477	C₂×Q₈	—	26	1	no	—
1478	C₂×Q₈	—	52	1	no	—
1479	C₂×Q₈	—	52	1	no	—
1480	C₂×Q₈	—	52	1	no	—
1481	C₂×Q₈	—	52	1	no	—
1482	C₂×Q₈	—	52	1	no	—
1483	C₂×Q₈	—	52	1	no	—
1484	C₂×Q₈	—	52	1	no	—
1485	C₂×Q₈	—	52	1	no	—
1486	C₂×Q₈	—	52	1	no	—
1487	C₂×Q₈	—	52	1	no	—
1488	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂×D₄	—	2	2	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	4	1	no	—
1495	C₂×D₄	—	13	1	no	—
1496	C₂×D₄	—	13	1	no	—
1497	C₂×D₄	—	13	1	no	—
1498	C₂×D₄	—	13	1	no	—
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	26	2	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	2	no	—
1508	C₂×D₄	—	26	2	no	—
1509	C₂×D₄	—	26	4	no	—
1510	C₂×D₄	—	26	2	no	—
1511	C₂×D₄	—	26	2	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	52	1	no	—
1518	C₂×D₄	—	52	1	no	—
1519	C₂×D₄	—	52	1	no	—
1520	C₂×D₄	—	52	1	no	—
1521	C₂×D₄	—	52	1	no	—
1522	C₂×D₄	—	52	4	no	—
1523	C₂×D₄	—	52	4	no	—
1524	C₂×D₄	—	52	4	no	—
1525	C₂×D₄	—	52	4	no	—
1526	C₂×D₄	—	104	2	no	—
1527	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1528	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	2	1	no	—
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	13	1	no	—
1535	C₂²×C₄	—	13	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	13	1	no	—
1538	C₂²×C₄	—	13	1	no	—
1539	C₂²×C₄	—	13	1	no	—
1540	C₂²×C₄	—	13	1	no	—
1541	C₂²×C₄	—	13	1	no	—
1542	C₂²×C₄	—	13	1	no	—
1543	C₂²×C₄	—	13	1	no	—
1544	C₂²×C₄	—	13	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	52	1	no	—
1560	C₂²×C₄	—	52	1	no	—
1561	C₂²×C₄	—	52	1	no	—
1562	C₂²×C₄	—	52	1	no	—
1563	C₂²×C₄	—	52	4	no	—
1564	C₂²×C₄	—	104	2	no	—
1565	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1566	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1567	Q₁₆	—	4	1	no	—
1568	Q₁₆	—	52	1	no	—
1569	Q₁₆	—	52	1	no	—
1570	Q₁₆	—	52	1	no	—
1571	Q₁₆	—	52	1	no	—
1572	Q₁₆	—	52	1	no	—
1573	Q₁₆	—	52	1	no	—
1574	Q₁₆	—	52	1	no	—
1575	SD₁₆	—	2	2	no	—
1576	SD₁₆	—	4	1	no	—
1577	SD₁₆	—	26	2	no	—
1578	SD₁₆	—	26	2	no	—
1579	SD₁₆	—	26	2	no	—
1580	SD₁₆	—	26	2	no	—
1581	SD₁₆	—	26	2	no	—
1582	SD₁₆	—	26	2	no	—
1583	SD₁₆	—	26	2	no	—
1584	SD₁₆	—	52	1	no	—
1585	SD₁₆	—	52	1	no	—
1586	SD₁₆	—	52	1	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	SD₁₆	—	52	1	no	—
1591	M₁₆	—	4	1	no	—
1592	M₁₆	—	52	1	no	—
1593	M₁₆	—	52	1	no	—
1594	M₁₆	—	52	1	no	—
1595	C₂×C₈	—	4	1	no	—
1596	C₂×C₈	—	13	1	no	—
1597	C₂×C₈	—	13	1	no	—
1598	C₂×C₈	—	13	1	no	—
1599	C₂×C₈	—	13	1	no	—
1600	C₂×C₈	—	52	1	no	—
1601	C₂×C₈	—	52	1	no	—
1602	C₂×C₈	—	52	1	no	—
1603	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1604	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1605	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1606	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	13	1	no	—
1615	C₄⋊C₄	—	13	1	no	—
1616	C₄⋊C₄	—	13	1	no	—
1617	C₄⋊C₄	—	13	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1644	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1645	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1646	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1647	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	13	1	no	—
1656	C₂²⋊C₄	—	13	1	no	—
1657	C₂²⋊C₄	—	13	1	no	—
1658	C₂²⋊C₄	—	13	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	13	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	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1687	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1688	C₄²	—	2	1	no	—
1689	C₄²	—	13	1	no	—
1690	C₄²	—	13	1	no	—
1691	C₄²	—	13	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	—	26	1	no	—
1694	C₄²	—	26	1	no	—
1695	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1696	C₁₃	#61570	1	1	yes	characteristic, complemented, Sylow
1697	C₂³	—	2	1	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	4	2	no	—
1700	C₂³	—	4	2	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	13	1	no	—
1703	C₂³	—	13	1	no	—
1704	C₂³	—	13	4	no	—
1705	C₂³	—	13	1	no	—
1706	C₂³	—	26	2	no	—
1707	C₂³	—	26	4	no	—
1708	C₂³	—	26	1	no	—
1709	C₂³	—	26	1	no	—
1710	C₂³	—	52	1	no	—
1711	C₂³	—	52	1	no	—
1712	C₂³	—	52	1	no	—
1713	C₂³	—	52	1	no	—
1714	C₂³	—	52	2	no	—
1715	C₂³	—	52	2	no	—
1716	C₂³	—	52	2	no	—
1717	C₂³	—	52	2	no	—
1718	C₂³	—	52	2	no	—
1719	C₂³	—	52	2	no	—
1720	C₂³	—	52	2	no	—
1721	C₂³	—	52	2	no	—
1722	C₂³	—	52	2	no	—
1723	C₂³	—	52	2	no	—
1724	C₂³	—	52	2	no	—
1725	C₂³	—	104	1	no	—
1726	C₂³	—	104	1	no	—
1727	C₂³	—	104	1	no	—
1728	C₂³	—	104	16	no	—
1729	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1730	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1731	Q₈	—	2	1	no	—
1732	Q₈	—	2	1	no	—
1733	Q₈	—	2	1	no	—
1734	Q₈	—	2	1	no	—
1735	Q₈	—	8	1	no	—
1736	Q₈	—	26	1	no	—
1737	Q₈	—	26	1	no	—
1738	Q₈	—	26	1	no	—
1739	Q₈	—	26	1	no	—
1740	Q₈	—	26	1	no	—
1741	Q₈	—	26	1	no	—
1742	Q₈	—	26	1	no	—
1743	Q₈	—	26	1	no	—
1744	Q₈	—	52	2	no	—
1745	Q₈	—	104	1	no	—
1746	Q₈	—	104	1	no	—
1747	Q₈	—	104	1	no	—
1748	Q₈	—	104	1	no	—
1749	Q₈	—	104	1	no	—
1750	D₄	—	2	2	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	8	1	no	—
1757	D₄	—	13	2	no	—
1758	D₄	—	26	2	no	—
1759	D₄	—	26	2	no	—
1760	D₄	—	26	4	no	—
1761	D₄	—	26	2	no	—
1762	D₄	—	26	1	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	52	2	no	—
1766	D₄	—	52	2	no	—
1767	D₄	—	52	2	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	104	1	no	—
1773	D₄	—	104	1	no	—
1774	D₄	—	104	1	no	—
1775	D₄	#88256	1	2	yes	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	2	1	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	8	1	no	—
1788	C₂×C₄	—	8	1	no	—
1789	C₂×C₄	—	8	1	no	—
1790	C₂×C₄	—	13	1	no	—
1791	C₂×C₄	—	13	1	no	—
1792	C₂×C₄	—	13	1	no	—
1793	C₂×C₄	—	13	1	no	—
1794	C₂×C₄	—	13	1	no	—
1795	C₂×C₄	—	26	2	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	26	1	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	26	1	no	—
1807	C₂×C₄	—	26	1	no	—
1808	C₂×C₄	—	52	1	no	—
1809	C₂×C₄	—	52	1	no	—
1810	C₂×C₄	—	52	1	no	—
1811	C₂×C₄	—	52	1	no	—
1812	C₂×C₄	—	52	1	no	—
1813	C₂×C₄	—	52	2	no	—
1814	C₂×C₄	—	52	2	no	—
1815	C₂×C₄	—	52	2	no	—
1816	C₂×C₄	—	52	2	no	—
1817	C₂×C₄	—	52	1	no	—
1818	C₂×C₄	—	52	1	no	—
1819	C₂×C₄	—	52	2	no	—
1820	C₂×C₄	—	104	1	no	—
1821	C₂×C₄	—	104	1	no	—
1822	C₂×C₄	—	104	1	no	—
1823	C₂×C₄	—	104	1	no	—
1824	C₂×C₄	—	104	1	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	—	104	1	no	—
1827	C₂×C₄	—	104	1	no	—
1828	C₂×C₄	—	104	1	no	—
1829	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1830	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1831	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1832	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1833	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1834	C₈	—	2	1	no	—
1835	C₈	—	2	1	no	—
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	26	1	no	—
1839	C₈	—	26	1	no	—
1840	C₈	—	26	1	no	—
1841	C₈	—	26	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	2	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	8	4	no	—
1854	C₂²	—	13	2	no	—
1855	C₂²	—	13	2	no	—
1856	C₂²	—	26	1	no	—
1857	C₂²	—	26	1	no	—
1858	C₂²	—	26	1	no	—
1859	C₂²	—	26	1	no	—
1860	C₂²	—	26	1	no	—
1861	C₂²	—	26	2	no	—
1862	C₂²	—	26	1	no	—
1863	C₂²	—	26	1	no	—
1864	C₂²	—	52	4	no	—
1865	C₂²	—	52	8	no	—
1866	C₂²	—	52	1	no	—
1867	C₂²	—	52	1	no	—
1868	C₂²	—	52	1	no	—
1869	C₂²	—	52	1	no	—
1870	C₂²	—	52	1	no	—
1871	C₂²	—	104	4	no	—
1872	C₂²	—	104	2	no	—
1873	C₂²	—	104	4	no	—
1874	C₂²	—	104	4	no	—
1875	C₂²	—	104	4	no	—
1876	C₂²	D₁₃×#137	1	2	yes	—
1877	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1878	C₄	—	2	1	no	—
1879	C₄	—	2	1	no	—
1880	C₄	—	2	1	no	—
1881	C₄	—	2	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	26	1	no	—
1889	C₄	—	26	1	no	—
1890	C₄	—	26	1	no	—
1891	C₄	—	26	1	no	—
1892	C₄	—	26	1	no	—
1893	C₄	—	52	1	no	—
1894	C₄	—	52	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	C₂×#88256	1	1	yes	characteristic
1900	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1901	C₂	—	2	2	no	—
1902	C₂	—	4	1	no	—
1903	C₂	—	4	2	no	—
1904	C₂	—	8	1	no	—
1905	C₂	—	26	2	no	—
1906	C₂	—	26	2	no	—
1907	C₂	—	52	1	no	—
1908	C₂	—	52	2	no	—
1909	C₂	—	104	1	no	—
1910	C₂	#13128466	1	1	yes	characteristic
1911	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1912	C₂	#13129611	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×#3314	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#546	C₂
hypercenter	#3314	D₁₃
hypocenter	C₁₃	#61570
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3314

Complements

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

N	H ≅ G/N	type
1. #13128633	C₂	semidirect
3. #13126920	C₂	semidirect
4. #13126918	C₂	semidirect
5. #13126916	C₂	semidirect
6. #13126915	C₂	semidirect
7. #13126914	C₂	semidirect
8. #13126913	C₂	semidirect
9. #13126911	C₂	semidirect
10. #13126353	C₂	semidirect
11. #13126351	C₂	semidirect
12. #13126350	C₂	semidirect
13. #13126348	C₂	semidirect
14. #13126344	C₂	semidirect
15. #13126343	C₂	semidirect
16. #13126342	C₂	semidirect
17. #13126341	C₂	semidirect
18. #13125840	C₂	semidirect
19. #13125837	C₂	semidirect
20. #13125644	C₂	semidirect
21. #13125637	C₂	semidirect
22. #13125610	C₂	semidirect
23. #13125607	C₂	semidirect
24. #13124937	C₂	semidirect
25. #13124933	C₂	semidirect
26. #13124097	C₂	semidirect
27. #13124093	C₂	semidirect
28. C₂×#11718437	C₂	semidirect
29. D₁₃×#450	C₂	semidirect
30. #13123861	C₂	semidirect
31. C₁₃×#3314	C₂	semidirect
34. C₁₃×#554	C₂²	semidirect
37. C₂×#88205	C₂²	semidirect
39. C₂²×#6105	C₂²	semidirect
40. C₂×#88172	C₂²	semidirect
41. C₂×#88169	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
43. C₂×SD₁₆×D₁₃	C₂²	semidirect
44. C₂×#88163	C₂²	semidirect
45. C₂²×#6095	C₂²	semidirect
46. #11719435	C₂²	semidirect
47. #11719433	C₂²	semidirect
58. #11719337	C₂²	semidirect
59. #11719337	C₂²	semidirect
63. D₁₃×C₂²⋊Q₈	C₂²	semidirect
70. #11719283	C₂²	semidirect
71. Q₈×D₅₂	C₂²	semidirect
78. D₄×Dic₂₆	C₂²	semidirect
79. #11719216	C₂²	semidirect
80. #11719216	C₂²	semidirect
82. C₂×#88151	C₂²	semidirect
85. C₁₃×#489	C₂²	semidirect
86. C₁₃×#484	C₂²	semidirect
87. C₁₃×#480	C₂²	semidirect
88. C₁₃×#474	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#450	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. C₁₃×#417	C₂²	semidirect
97. C₂×C₁₃×#102	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718851	C₂²	semidirect
101. #11718847	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718831	C₂²	semidirect
106. #11718828	C₂²	semidirect
107. #11718823	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718788	C₂²	semidirect
110. #11718787	C₂²	semidirect
111. #11718777	C₂²	semidirect
112. #11718772	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718748	C₂²	semidirect
116. #11718721	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718710	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718707	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718701	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. #11718687	C₂²	semidirect
128. #11718680	C₂²	semidirect
129. #11718679	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718631	C₂²	semidirect
132. #11718628	C₂²	semidirect
133. #11718627	C₂²	semidirect
134. C₂×#88049	C₂²	semidirect
135. #11718551	C₂²	semidirect
136. #11718550	C₂²	semidirect
137. #11718550	C₂²	semidirect
138. #11718548	C₂²	semidirect
139. #11718548	C₂²	semidirect
140. #11718547	C₂²	semidirect
141. #11718547	C₂²	semidirect
142. #11718545	C₂²	semidirect
143. #11718545	C₂²	semidirect
144. #11718545	C₂²	semidirect
145. #11718545	C₂²	semidirect
146. #11718543	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718502	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. #11718496	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718474	C₂²	semidirect
153. #11718474	C₂²	semidirect
154. #11718471	C₂²	semidirect
155. #11718471	C₂²	semidirect
156. #11718470	C₂²	semidirect
157. #11718470	C₂²	semidirect
158. #11718469	C₂²	semidirect
159. #11718469	C₂²	semidirect
160. #11718469	C₂²	semidirect
161. #11718469	C₂²	semidirect
162. #11718467	C₂²	semidirect
163. #11718464	C₂²	semidirect
164. #11718459	C₂²	semidirect
165. #11718459	C₂²	semidirect
166. #11718456	C₂²	semidirect
167. #11718444	C₂²	semidirect
168. #11718444	C₂²	semidirect
169. #11718441	C₂²	semidirect
170. #11718441	C₂²	semidirect
177. #11718437	C₂²	semidirect
178. #11718437	C₂²	semidirect
179. #11718437	C₂²	semidirect
180. #11718437	C₂²	semidirect
181. #11718435	C₂²	semidirect
182. #11718432	C₂²	semidirect
183. D₁₃×#102	C₂²	semidirect
184. D₁₃×#102	C₂²	semidirect
185. #11718428	C₂²	semidirect
186. #11718428	C₂²	semidirect
187. #11718426	C₂²	semidirect
188. #11718420	C₂²	semidirect
189. #11718418	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718399	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718389	C₂²	semidirect
197. #11718387	C₂²	semidirect
199. #11718376	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718366	C₂²	semidirect
212. C₂×Q₈×D₁₃	C₂³	semidirect
234. C₂²×Dic₂₆	C₂³	semidirect
235. C₂×C₁₃×Q₁₆	C₂³	semidirect
238. C₂×C₁₃×M₁₆	C₂³	semidirect
240. C₁₃×C₄⋊Q₈	C₂³	semidirect
248. C₁₃×C₂²⋊Q₈	C₂³	semidirect
252. C₄×Q₈×C₁₃	C₂³	semidirect
257. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
269. #88198	C₂³	semidirect
270. C₂×#6107	C₂³	semidirect
271. C₂×#6107	C₂³	semidirect
272. C₂×#6107	C₂³	semidirect
273. C₂×#6107	C₂³	semidirect
314. #88178	C₂³	semidirect
315. C₂×#6099	C₂³	semidirect
322. C₂×Dic₅₂	C₂³	semidirect
323. C₂×Dic₅₂	C₂³	semidirect
324. C₂×Dic₅₂	C₂³	semidirect
332. C₂×#6094	C₂³	semidirect
333. C₂×#6094	C₂³	semidirect
348. #88151	C₂³	semidirect
349. #88151	C₂³	semidirect
372. C₄⋊C₄×D₁₃	C₂³	semidirect
381. #88142	C₂³	semidirect
382. #88141	C₂³	semidirect
383. #88141	C₂³	semidirect
427. #88123	C₂³	semidirect
429. C₄×Dic₂₆	C₂³	semidirect
430. C₁₃×#107	C₂³	semidirect
431. C₁₃×#107	C₂³	semidirect
432. C₁₃×#107	C₂³	semidirect
433. C₁₃×C₄⋊C₈	C₂³	semidirect
434. C₁₃×#103	C₂³	semidirect
435. C₁₃×#103	C₂³	semidirect
436. C₁₃×#103	C₂³	semidirect
437. C₁₃×#103	C₂³	semidirect
445. C₁₃×C₂²⋊C₈	C₂³	semidirect
446. C₁₃×#97	C₂³	semidirect
447. #88075	C₂³	semidirect
448. #88075	C₂³	semidirect
452. C₂²⋊#1055	C₂³	semidirect
461. #88060	C₂³	semidirect
462. #88060	C₂³	semidirect
463. #88058	C₂³	semidirect
464. #88056	C₂³	semidirect
465. #88056	C₂³	semidirect
466. #88056	C₂³	semidirect
467. #88056	C₂³	semidirect
468. #88055	C₂³	semidirect
469. #88055	C₂³	semidirect
470. #88054	C₂³	semidirect
471. #88054	C₂³	semidirect
472. #88050	C₂³	semidirect
473. #88050	C₂³	semidirect
474. #88050	C₂³	semidirect
475. #88050	C₂³	semidirect
476. #88050	C₂³	semidirect
477. #88050	C₂³	semidirect
484. #88047	C₂³	semidirect
485. #88047	C₂³	semidirect
486. #88047	C₂³	semidirect
487. #88047	C₂³	semidirect
488. C₄⋊#1055	C₂³	semidirect
489. #88043	C₂³	semidirect
750. #3314	D₁₃	semidirect
802. C₂²×D₁₃	#137	semidirect
934. #554	C₂×D₁₃	semidirect
977. #489	C₂×D₁₃	semidirect
985. #484	C₂×D₁₃	semidirect
989. #480	C₂×D₁₃	semidirect
993. #474	C₂×D₁₃	semidirect
1001. #468	C₂×D₁₃	semidirect
1009. #467	C₂×D₁₃	semidirect
1017. #464	C₂×D₁₃	semidirect
1029. #452	C₂×D₁₃	semidirect
1053. #450	C₂×D₁₃	semidirect
1065. #440	C₂×D₁₃	semidirect
1073. #435	C₂×D₁₃	semidirect
1079. #417	C₂×D₁₃	semidirect
1083. C₂×#102	C₂×D₁₃	semidirect
1190. C₂×Q₁₆	C₂²×D₁₃	semidirect
1214. C₂×M₁₆	C₂²×D₁₃	semidirect
1226. C₄⋊Q₈	C₂²×D₁₃	semidirect
1290. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1318. C₄×Q₈	C₂²×D₁₃	semidirect
1353. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1379. #107	C₂²×D₁₃	semidirect
1380. #107	C₂²×D₁₃	semidirect
1381. #107	C₂²×D₁₃	semidirect
1385. C₄⋊C₈	C₂²×D₁₃	semidirect
1398. #103	C₂²×D₁₃	semidirect
1399. #103	C₂²×D₁₃	semidirect
1400. #103	C₂²×D₁₃	semidirect
1401. #103	C₂²×D₁₃	semidirect
1429. C₂²⋊C₈	C₂²×D₁₃	semidirect
1433. #97	C₂²×D₁₃	semidirect
1696. C₁₃	#61570	semidirect

Maximal subgroups

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

subgroup	index
#13128633	2
D₁₃×#546	2
#13126920	2
#13126918	2
#13126916	2
#13126915	2
#13126914	2
#13126913	2
#13126911	2
#13126353	2
#13126351	2
#13126350	2
#13126348	2
#13126344	2
#13126343	2
#13126342	2
#13126341	2
#13125840	2
#13125837	2
#13125644	2
#13125637	2
#13125610	2
#13125607	2
#13124937	2
#13124933	2
#13124097	2
#13124093	2
C₂×#11718437	2
D₁₃×#450	2
#13123861	2
C₁₃×#3314	2
#61570	13