Subgroups — #16748228

Order 3328.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128594	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128320	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127161	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127137	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126826	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126821	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126794	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126699	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126645	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126529	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126453	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126429	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126337	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126336	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126318	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125832	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125768	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125655	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125645	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125602	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125600	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124983	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124898	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124089	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124083	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718442	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123866	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	—	2	1	no	—
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
37	#11719534	—	2	1	no	—
38	#11719529	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
40	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
48	#11719431	C₂²	1	1	yes	characteristic, complemented
49	#11719430	C₂²	1	1	yes	characteristic, complemented
50	#11719382	C₂²	1	1	yes	characteristic, complemented
51	#11719373	C₂²	1	1	yes	characteristic, complemented
52	#11719361	—	2	1	no	—
53	#11719360	—	2	1	no	—
54	#11719359	—	2	1	no	—
55	#11719359	—	2	1	no	—
56	#11719358	—	2	1	no	—
57	#11719358	—	2	1	no	—
58	#11719337	C₂²	1	1	yes	characteristic, complemented
59	#11719335	—	2	1	no	—
60	#11719334	—	2	1	no	—
61	#11719332	C₂²	1	1	yes	characteristic, complemented
62	#11719315	—	2	1	no	—
63	#11719314	C₂²	1	1	yes	characteristic
64	#11719314	C₂²	1	1	yes	characteristic, complemented
65	#11719311	C₂²	1	1	yes	characteristic, complemented
66	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
67	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
68	#11719304	C₂²	1	1	yes	characteristic, complemented
69	#11719301	—	2	1	no	—
70	#11719295	—	2	1	no	—
71	#11719291	—	2	1	no	—
72	#11719259	C₂²	1	1	yes	characteristic, complemented
73	#11719257	C₂²	1	1	yes	characteristic, complemented
74	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
76	#11719253	C₂²	1	1	yes	characteristic, complemented
77	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
78	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
79	#11719212	C₂²	1	1	yes	characteristic
80	#11719212	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
82	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
83	#11719195	—	2	1	no	—
84	C₂×#88135	—	2	1	no	—
85	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#442	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	#11718899	C₂²	1	1	yes	characteristic, complemented
99	#11718878	C₂²	1	1	yes	characteristic, complemented
100	#11718836	C₂²	1	1	yes	characteristic, complemented
101	#11718833	C₂²	1	1	yes	characteristic, complemented
102	#11718830	C₂²	1	1	yes	characteristic, complemented
103	#11718819	C₂²	1	1	yes	characteristic, complemented
104	#11718819	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718812	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718789	C₂²	1	1	yes	characteristic, complemented
110	#11718787	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
114	#11718752	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718719	C₂²	1	1	yes	characteristic, complemented
117	#11718718	C₂²	1	1	yes	characteristic, complemented
118	#11718709	C₂²	1	1	yes	characteristic, complemented
119	#11718707	C₂²	1	1	yes	characteristic, complemented
120	#11718703	C₂²	1	1	yes	characteristic, complemented
121	#11718701	C₂²	1	1	yes	characteristic, complemented
122	#11718700	C₂²	1	1	yes	characteristic, complemented
123	#11718699	C₂²	1	1	yes	characteristic, complemented
124	#11718698	C₂²	1	1	yes	characteristic, complemented
125	#11718697	C₂²	1	1	yes	characteristic, complemented
126	#11718679	C₂²	1	1	yes	characteristic, complemented
127	#11718677	C₂²	1	1	yes	characteristic, complemented
128	#11718676	C₂²	1	1	yes	characteristic, complemented
129	#11718675	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718631	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
133	#11718628	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718527	C₂²	1	1	yes	characteristic, complemented
136	#11718527	C₂²	1	1	yes	characteristic, complemented
137	#11718527	C₂²	1	1	yes	characteristic, complemented
138	#11718526	C₂²	1	1	yes	characteristic, complemented
139	#11718526	C₂²	1	1	yes	characteristic, complemented
140	#11718525	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718523	C₂²	1	1	yes	characteristic, complemented
144	#11718515	C₂²	1	1	yes	characteristic, complemented
145	#11718513	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718509	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	#11718494	C₂²	1	1	yes	characteristic, complemented
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718479	C₂²	1	1	yes	characteristic, complemented
153	#11718473	C₂²	1	1	yes	characteristic, complemented
154	#11718473	C₂²	1	1	yes	characteristic, complemented
155	#11718472	C₂²	1	1	yes	characteristic, complemented
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718472	C₂²	1	1	yes	characteristic, complemented
158	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	#11718467	C₂²	1	1	yes	characteristic, complemented
161	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
162	#11718453	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718445	C₂²	1	1	yes	characteristic, complemented
166	#11718442	C₂²	1	1	yes	characteristic, complemented
167	#11718442	C₂²	1	1	yes	characteristic, complemented
168	#11718442	C₂²	1	1	yes	characteristic, complemented
169	#11718442	C₂²	1	1	yes	characteristic, complemented
170	#11718442	C₂²	1	1	yes	characteristic, complemented
171	#11718442	C₂²	1	1	yes	characteristic, complemented
172	#11718442	C₂²	1	1	yes	characteristic, complemented
173	#11718442	C₂²	1	1	yes	characteristic, complemented
174	#11718442	C₂²	1	1	yes	characteristic, complemented
175	#11718442	C₂²	1	1	yes	characteristic, complemented
176	#11718437	C₂²	1	1	yes	characteristic, complemented
177	#11718436	C₂²	1	1	yes	characteristic, complemented
178	#11718436	C₂²	1	1	yes	characteristic, complemented
179	#11718435	C₂²	1	1	yes	characteristic, complemented
180	#11718434	C₂²	1	1	yes	characteristic, complemented
181	#11718434	C₂²	1	1	yes	characteristic, complemented
182	#11718434	C₂²	1	1	yes	characteristic, complemented
183	#11718432	C₂²	1	1	yes	characteristic, complemented
184	#11718432	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
186	#11718423	C₂²	1	1	yes	characteristic, complemented
187	#11718421	C₂²	1	1	yes	characteristic, complemented
188	#11718420	C₂²	1	1	yes	characteristic, complemented
189	#11718417	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718373	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	C₂×C₁₃×#41	—	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	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂³×Dic₁₃	—	2	1	no	—
209	#88256	—	4	8	no	—
210	#41×D₁₃	—	4	2	no	—
211	#41×D₁₃	—	4	2	no	—
212	C₂×#6131	—	2	1	no	—
213	C₂×#6131	—	2	1	no	—
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	—	4	2	no	—
220	C₂×#6129	—	4	2	no	—
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×#6129	C₂³	1	1	yes	characteristic
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×#6129	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	—	2	1	no	—
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	—	2	1	no	—
229	C₂×D₄×D₁₃	—	2	1	no	—
230	C₂×D₄×D₁₃	—	2	1	no	—
231	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
232	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂×#6127	—	2	1	no	—
236	C₂×#6127	—	2	1	no	—
237	C₂×#6127	—	2	1	no	—
238	C₂×#6127	—	2	1	no	—
239	C₂×#6127	C₂³	1	1	yes	characteristic
240	C₂²×D₅₂	—	2	1	no	—
241	C₂²×D₅₂	—	2	1	no	—
242	C₂²×D₅₂	—	2	1	no	—
243	C₂²×D₅₂	C₂³	1	1	yes	characteristic
244	C₂²×D₅₂	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₁₃	—	2	1	no	—
246	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
248	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×#124	C₂³	1	1	yes	characteristic
256	C₁₃×#123	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×#123	—	2	1	no	—
259	C₁₃×C₂²⋊Q₈	—	2	1	no	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×#121	—	2	1	no	—
262	C₁₃×#121	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	1	yes	characteristic
264	C₁₃×#121	C₂³	1	1	yes	characteristic
265	C₁₃×#120	—	2	1	no	—
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
272	#88207	—	2	1	no	—
273	#88203	—	4	2	no	—
274	#88201	—	2	1	no	—
275	#88200	—	2	1	no	—
276	#88200	C₂³	1	1	yes	characteristic
277	#88198	C₂³	1	1	yes	characteristic
278	C₂×#6106	C₂³	1	1	yes	characteristic
279	C₂×#6106	C₂³	1	1	yes	characteristic
280	C₂×#6106	C₂³	1	1	yes	characteristic
281	#88194	—	2	1	no	—
282	#88194	C₂³	1	1	yes	characteristic
283	#88194	C₂³	1	1	yes	characteristic
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88192	C₂³	1	1	yes	characteristic
291	#88192	C₂³	1	1	yes	characteristic
292	#88191	—	2	1	no	—
293	#88191	—	2	1	no	—
294	#88191	—	2	1	no	—
295	#88191	—	2	1	no	—
296	#88189	—	2	1	no	—
297	D₄×Dic₁₃	—	2	1	no	—
298	D₄×Dic₁₃	D₄	1	1	yes	characteristic
299	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×#6105	C₂³	1	1	yes	characteristic
301	C₂×#6105	C₂³	1	1	yes	characteristic
302	C₂×#6104	—	4	2	no	—
303	C₂×#6104	C₂³	1	1	yes	characteristic
304	C₂×#6104	C₂³	1	1	yes	characteristic
305	C₂×#6104	C₂³	1	1	yes	characteristic
306	C₂×#6104	C₂³	1	1	yes	characteristic
307	C₂×#6104	C₂³	1	1	yes	characteristic
308	C₂×#6104	C₂³	1	1	yes	characteristic
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	#88184	—	2	1	no	—
311	#88184	—	2	1	no	—
312	#88184	C₂³	1	1	yes	characteristic
313	#88184	C₂³	1	1	yes	characteristic
314	#88184	C₂³	1	1	yes	characteristic
315	#88183	—	2	1	no	—
316	#88183	—	2	1	no	—
317	#88183	—	2	1	no	—
318	C₄×C₂²⋊D₁₃	—	2	1	no	—
319	C₄×C₂²⋊D₁₃	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
321	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
322	C₂×#6103	—	2	1	no	—
323	C₂×#6103	—	2	1	no	—
324	C₂×#6103	—	2	1	no	—
325	#88178	C₂³	1	1	yes	characteristic
326	C₂×#6101	—	2	1	no	—
327	C₂×C₄×Dic₁₃	—	2	1	no	—
328	C₂×#6099	C₂³	1	1	yes	characteristic
329	C₂²×#1055	C₂³	1	1	yes	characteristic
330	SD₁₆×D₁₃	—	4	2	no	—
331	#88165	—	4	2	no	—
332	#88165	—	4	2	no	—
333	D₈×D₁₃	—	4	2	no	—
334	#88162	—	4	2	no	—
335	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
336	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
337	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
338	C₂×#6095	—	4	2	no	—
339	C₂×#6095	C₂³	1	1	yes	characteristic
340	C₂×#6095	C₂³	1	1	yes	characteristic
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×#6095	C₂³	1	1	yes	characteristic
343	C₂×#6095	C₂³	1	1	yes	characteristic
344	C₂×#6095	C₂³	1	1	yes	characteristic
345	C₂×#6094	C₂³	1	1	yes	characteristic
346	C₂×#6094	C₂³	1	1	yes	characteristic
347	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
348	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
349	#88151	C₂³	1	1	yes	characteristic
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88149	—	2	1	no	—
355	#88149	—	2	1	no	—
356	#88149	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88149	—	2	1	no	—
359	#88149	—	2	1	no	—
360	#88149	C₂³	1	1	yes	characteristic
361	#88149	C₂³	1	1	yes	characteristic
362	#88149	C₂³	1	1	yes	characteristic
363	#88149	C₂³	1	1	yes	characteristic
364	#88149	C₂³	1	1	yes	characteristic
365	#88149	C₂³	1	1	yes	characteristic
366	#88149	C₂³	1	1	yes	characteristic
367	#88149	C₂³	1	1	yes	characteristic
368	#88148	—	2	1	no	—
369	#88148	—	2	1	no	—
370	#88148	—	2	1	no	—
371	#88148	—	2	1	no	—
372	#88148	—	2	1	no	—
373	#88147	—	2	1	no	—
374	#88147	—	2	1	no	—
375	#88147	D₄	1	1	yes	characteristic
376	#88147	C₂³	1	1	yes	characteristic
377	#88147	C₂³	1	1	yes	characteristic
378	#88146	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
380	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	#88142	—	2	1	no	—
383	#88142	C₂³	1	1	yes	characteristic
384	#88141	C₂³	1	1	yes	characteristic
385	#88140	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88136	—	2	1	no	—
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88135	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	#88135	—	2	1	no	—
415	#88135	—	2	1	no	—
416	#88135	D₄	1	1	yes	characteristic
417	#88135	D₄	1	1	yes	characteristic
418	C₂²⋊C₄×D₁₃	—	2	1	no	—
419	C₂²⋊C₄×D₁₃	—	2	1	no	—
420	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
421	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
422	#88132	—	2	1	no	—
423	#88132	—	2	1	no	—
424	#88131	—	2	1	no	—
425	#88129	C₂³	1	1	yes	characteristic
426	#88128	C₂³	1	1	yes	characteristic
427	C₄×D₅₂	C₂³	1	1	yes	characteristic
428	C₄×D₅₂	C₂³	1	1	yes	characteristic
429	C₄²×D₁₃	C₂³	1	1	yes	characteristic
430	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
431	C₁₃×#106	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×#106	C₂³	1	1	yes	characteristic
434	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₁₃×#97	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	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
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	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	#88049	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	C₄⋊#1055	C₂³	1	1	yes	characteristic
490	#88043	C₂³	1	1	yes	characteristic
491	#61598	—	13	1	no	maximal, Sylow
492	C₂⁴×C₁₃	—	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	—	2	1	no	—
498	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	4	no	—
503	C₂×Q₈×C₁₃	—	2	1	no	—
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	—	2	2	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	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	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	4	4	no	—
541	C₂×C₂²⋊D₁₃	—	4	4	no	—
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	—	2	1	no	—
548	C₂²×Dic₁₃	—	2	1	no	—
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	4	4	no	—
551	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
553	#6131	—	4	1	no	—
554	#6131	—	4	1	no	—
555	#6131	—	4	4	no	—
556	#6131	—	4	4	no	—
557	Q₈×D₁₃	—	2	2	no	—
558	Q₈×D₁₃	—	4	1	no	—
559	#6129	—	2	2	no	—
560	#6129	—	2	2	no	—
561	#6129	—	2	2	no	—
562	#6129	—	2	2	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	1	no	—
565	#6129	—	4	1	no	—
566	#6129	—	4	1	no	—
567	#6129	—	4	4	no	—
568	#6129	—	4	4	no	—
569	#6129	—	4	4	no	—
570	D₄×D₁₃	—	2	4	no	—
571	D₄×D₁₃	—	2	2	no	—
572	D₄×D₁₃	—	4	1	no	—
573	D₄×D₁₃	—	4	1	no	—
574	D₄×D₁₃	—	4	1	no	—
575	D₄×D₁₃	—	4	1	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	4	no	—
578	D₄×D₁₃	—	4	4	no	—
579	D₄×D₁₃	—	4	4	no	—
580	D₄×D₁₃	—	4	4	no	—
581	D₄×D₁₃	—	4	4	no	—
582	D₄×D₁₃	—	4	4	no	—
583	#6127	—	2	2	no	—
584	#6127	—	4	1	no	—
585	#6127	—	4	4	no	—
586	#6127	—	4	4	no	—
587	#6127	—	4	4	no	—
588	#6127	—	4	4	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	2	1	no	—
591	C₂×D₅₂	—	2	1	no	—
592	C₂×D₅₂	—	2	1	no	—
593	C₂×D₅₂	—	2	1	no	—
594	C₂×D₅₂	—	2	1	no	—
595	C₂×D₅₂	—	2	1	no	—
596	C₂×D₅₂	—	2	1	no	—
597	C₂×D₅₂	—	2	1	no	—
598	C₂×D₅₂	—	2	1	no	—
599	C₂×D₅₂	—	2	1	no	—
600	C₂×D₅₂	—	2	1	no	—
601	C₂×D₅₂	—	2	1	no	—
602	C₂×D₅₂	—	4	1	no	—
603	C₂×D₅₂	—	4	1	no	—
604	C₂×D₅₂	—	4	1	no	—
605	C₂×D₅₂	—	4	1	no	—
606	C₂×D₅₂	—	4	4	no	—
607	C₂×D₅₂	—	4	4	no	—
608	C₂×D₅₂	—	4	4	no	—
609	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
610	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
611	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
612	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
613	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₁₃	—	2	1	no	—
615	C₂×C₄×D₁₃	—	2	1	no	—
616	C₂×C₄×D₁₃	—	2	1	no	—
617	C₂×C₄×D₁₃	—	2	1	no	—
618	C₂×C₄×D₁₃	—	2	1	no	—
619	C₂×C₄×D₁₃	—	2	1	no	—
620	C₂×C₄×D₁₃	—	2	1	no	—
621	C₂×C₄×D₁₃	—	2	1	no	—
622	C₂×C₄×D₁₃	—	4	1	no	—
623	C₂×C₄×D₁₃	—	4	1	no	—
624	C₂×C₄×D₁₃	—	4	1	no	—
625	C₂×C₄×D₁₃	—	4	1	no	—
626	C₂×C₄×D₁₃	—	4	4	no	—
627	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
633	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
636	C₂×Dic₂₆	—	2	2	no	—
637	C₂×Dic₂₆	—	2	1	no	—
638	C₂×Dic₂₆	—	2	1	no	—
639	C₂×Dic₂₆	—	2	1	no	—
640	C₂×Dic₂₆	—	4	1	no	—
641	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
642	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
643	C₁₃×SD₁₆	—	4	1	no	—
644	C₁₃×D₈	—	2	2	no	—
645	C₁₃×D₈	—	4	1	no	—
646	C₁₃×M₁₆	—	4	1	no	—
647	C₂×C₈×C₁₃	—	4	1	no	—
648	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₁₃×C₄⋊C₄	—	2	1	no	—
653	C₁₃×C₄⋊C₄	—	2	1	no	—
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₁₃×C₂²⋊C₄	—	2	1	no	—
668	C₁₃×C₂²⋊C₄	—	2	1	no	—
669	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
672	C₂²⋊Dic₁₃	—	2	1	no	—
673	C₂²⋊Dic₁₃	—	2	1	no	—
674	C₂²⋊Dic₁₃	—	2	1	no	—
675	C₂²⋊Dic₁₃	—	2	1	no	—
676	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	#6106	—	4	1	no	—
679	#6106	—	4	1	no	—
680	#6106	—	4	1	no	—
681	#6105	—	2	2	no	—
682	#6105	—	4	1	no	—
683	#6104	—	2	2	no	—
684	#6104	—	2	2	no	—
685	#6104	—	2	2	no	—
686	#6104	—	4	1	no	—
687	#6104	—	4	1	no	—
688	#6104	—	4	1	no	—
689	#6104	—	4	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	—	2	1	no	—
706	#6103	—	2	1	no	—
707	#6103	—	2	1	no	—
708	#6103	—	2	1	no	—
709	#6103	C₂×D₄	1	1	yes	characteristic
710	#6103	C₂×D₄	1	1	yes	characteristic
711	#6103	C₂×D₄	1	1	yes	characteristic
712	#6103	C₂×D₄	1	1	yes	characteristic
713	C₄⋊Dic₁₃	—	2	1	no	—
714	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
715	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
716	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	#6101	—	2	1	no	—
721	#6101	—	2	1	no	—
722	#6101	—	2	1	no	—
723	#6101	—	2	1	no	—
724	#6101	—	2	1	no	—
725	#6101	—	2	1	no	—
726	#6101	C₂×D₄	1	1	yes	characteristic
727	#6101	C₂×D₄	1	1	yes	characteristic
728	C₄×Dic₁₃	—	2	1	no	—
729	C₄×Dic₁₃	—	2	1	no	—
730	C₄×Dic₁₃	—	2	1	no	—
731	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
732	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
733	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
734	#6099	—	4	1	no	—
735	C₂×#1055	—	4	1	no	—
736	C₂×#1055	C₂⁴	1	1	yes	characteristic
737	C₂×#1055	C₂⁴	1	1	yes	characteristic
738	C₂×#1055	C₂⁴	1	1	yes	characteristic
739	C₂×#1055	C₂⁴	1	1	yes	characteristic
740	D₁₀₄	—	4	1	no	—
741	D₁₀₄	—	4	1	no	—
742	D₁₀₄	—	4	1	no	—
743	#6095	—	2	2	no	—
744	#6095	—	2	2	no	—
745	#6095	—	2	2	no	—
746	#6095	—	4	1	no	—
747	#6095	—	4	1	no	—
748	#6095	—	4	1	no	—
749	#6094	—	4	1	no	—
750	#6094	—	4	1	no	—
751	C₈×D₁₃	—	4	1	no	—
752	C₈×D₁₃	—	4	1	no	—
753	#3496	—	13	1	no	—
754	D₄×#41	—	13	1	no	—
755	#3332	—	13	1	no	—
756	#3330	—	13	1	no	—
757	#3308	—	13	1	no	—
758	#3308	—	13	1	no	—
759	#3306	—	13	1	no	—
760	#3306	D₁₃	1	1	yes	characteristic, complemented
761	#3298	—	13	1	no	—
762	#3294	—	13	1	no	—
763	D₄×SD₁₆	—	13	1	no	—
764	D₄×D₈	—	13	1	no	—
765	#3274	—	13	1	no	—
766	#3272	—	13	1	no	—
767	#3265	—	13	1	no	—
768	#3265	—	13	1	no	—
769	#3264	—	13	1	no	—
770	#3264	—	13	1	no	—
771	#3214	—	13	1	no	—
772	#3207	—	13	1	no	—
773	#3194	—	13	1	no	—
774	#3194	—	13	1	no	—
775	#3188	—	13	1	no	—
776	#3188	—	13	1	no	—
777	#3115	—	13	1	no	—
778	#3106	—	13	1	no	—
779	#3006	—	13	1	no	—
780	#3006	—	13	1	no	—
781	C₂×#449	—	13	1	no	—
782	C₂×#449	—	13	1	no	—
783	#2974	—	13	1	no	—
784	C₂³×C₁₃	—	2	1	no	—
785	C₂³×C₁₃	—	2	1	no	—
786	C₂³×C₁₃	—	2	1	no	—
787	C₂³×C₁₃	—	4	2	no	—
788	C₂³×C₁₃	—	4	2	no	—
789	C₂³×C₁₃	—	8	1	no	—
790	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂²×D₁₃	—	2	2	no	—
793	C₂²×D₁₃	—	2	2	no	—
794	C₂²×D₁₃	—	2	1	no	—
795	C₂²×D₁₃	—	2	1	no	—
796	C₂²×D₁₃	—	2	1	no	—
797	C₂²×D₁₃	—	2	1	no	—
798	C₂²×D₁₃	—	4	1	no	—
799	C₂²×D₁₃	—	4	1	no	—
800	C₂²×D₁₃	—	4	1	no	—
801	C₂²×D₁₃	—	4	1	no	—
802	C₂²×D₁₃	—	4	2	no	—
803	C₂²×D₁₃	—	4	2	no	—
804	C₂²×D₁₃	—	4	2	no	—
805	C₂²×D₁₃	—	4	2	no	—
806	C₂²×D₁₃	—	4	2	no	—
807	C₂²×D₁₃	—	4	2	no	—
808	C₂²×D₁₃	—	8	1	no	—
809	C₂²×D₁₃	—	8	1	no	—
810	C₂²×D₁₃	—	8	1	no	—
811	C₂²×D₁₃	—	8	1	no	—
812	C₂²×D₁₃	—	8	1	no	—
813	C₂²×D₁₃	—	8	1	no	—
814	C₂²×D₁₃	—	8	1	no	—
815	C₂²×D₁₃	—	8	1	no	—
816	C₂²×D₁₃	—	8	1	no	—
817	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
820	Q₈×C₁₃	—	2	1	no	—
821	Q₈×C₁₃	—	2	1	no	—
822	Q₈×C₁₃	—	4	2	no	—
823	D₄×C₁₃	—	2	2	no	—
824	D₄×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	2	1	no	—
829	D₄×C₁₃	—	4	2	no	—
830	D₄×C₁₃	—	4	2	no	—
831	D₄×C₁₃	—	4	2	no	—
832	D₄×C₁₃	—	4	2	no	—
833	D₄×C₁₃	—	8	1	no	—
834	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	complemented
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	4	2	no	—
845	C₂×C₄×C₁₃	—	4	2	no	—
846	C₂×C₄×C₁₃	—	4	2	no	—
847	C₂×C₄×C₁₃	—	4	2	no	—
848	C₂×C₄×C₁₃	—	8	1	no	—
849	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
854	C₂²⋊D₁₃	—	2	4	no	—
855	C₂²⋊D₁₃	—	2	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	4	2	no	—
862	C₂²⋊D₁₃	—	4	2	no	—
863	C₂²⋊D₁₃	—	4	2	no	—
864	C₂²⋊D₁₃	—	4	2	no	—
865	C₂²⋊D₁₃	—	4	2	no	—
866	C₂²⋊D₁₃	—	4	2	no	—
867	C₂²⋊D₁₃	—	4	2	no	—
868	C₂²⋊D₁₃	—	8	1	no	—
869	C₂²⋊D₁₃	—	8	1	no	—
870	C₂²⋊D₁₃	—	8	1	no	—
871	C₂²⋊D₁₃	—	8	1	no	—
872	C₂²⋊D₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
873	C₂×Dic₁₃	—	2	4	no	—
874	C₂×Dic₁₃	—	2	1	no	—
875	C₂×Dic₁₃	—	2	1	no	—
876	C₂×Dic₁₃	—	2	1	no	—
877	C₂×Dic₁₃	—	2	1	no	—
878	C₂×Dic₁₃	—	4	1	no	—
879	C₂×Dic₁₃	—	4	1	no	—
880	C₂×Dic₁₃	—	4	2	no	—
881	C₂×Dic₁₃	—	4	2	no	—
882	C₂×Dic₁₃	—	4	2	no	—
883	C₂×Dic₁₃	—	4	2	no	—
884	C₂×Dic₁₃	—	4	2	no	—
885	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
886	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
888	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
890	D₅₂	—	2	2	no	—
891	D₅₂	—	2	1	no	—
892	D₅₂	—	2	1	no	—
893	D₅₂	—	2	1	no	—
894	D₅₂	—	2	1	no	—
895	D₅₂	—	2	1	no	—
896	D₅₂	—	2	1	no	—
897	D₅₂	—	2	1	no	—
898	D₅₂	—	2	1	no	—
899	D₅₂	—	4	2	no	—
900	D₅₂	—	4	2	no	—
901	D₅₂	—	4	2	no	—
902	D₅₂	—	4	2	no	—
903	D₅₂	—	4	2	no	—
904	D₅₂	—	4	2	no	—
905	D₅₂	—	4	2	no	—
906	D₅₂	—	4	2	no	—
907	D₅₂	—	4	2	no	—
908	D₅₂	—	8	1	no	—
909	D₅₂	—	8	1	no	—
910	D₅₂	—	8	1	no	—
911	D₅₂	—	8	1	no	—
912	C₄×D₁₃	—	2	1	no	—
913	C₄×D₁₃	—	2	1	no	—
914	C₄×D₁₃	—	2	1	no	—
915	C₄×D₁₃	—	2	1	no	—
916	C₄×D₁₃	—	2	1	no	—
917	C₄×D₁₃	—	2	1	no	—
918	C₄×D₁₃	—	2	2	no	—
919	C₄×D₁₃	—	4	1	no	—
920	C₄×D₁₃	—	4	1	no	—
921	C₄×D₁₃	—	4	1	no	—
922	C₄×D₁₃	—	4	1	no	—
923	C₄×D₁₃	—	4	1	no	—
924	C₄×D₁₃	—	4	2	no	—
925	C₄×D₁₃	—	4	2	no	—
926	C₄×D₁₃	—	4	2	no	—
927	C₄×D₁₃	—	4	2	no	—
928	C₄×D₁₃	—	4	2	no	—
929	C₄×D₁₃	—	4	2	no	—
930	C₄×D₁₃	—	4	2	no	—
931	C₄×D₁₃	—	4	2	no	—
932	Dic₂₆	—	2	1	no	—
933	Dic₂₆	—	2	1	no	—
934	Dic₂₆	—	2	1	no	—
935	Dic₂₆	—	4	2	no	—
936	Dic₂₆	—	4	2	no	—
937	Dic₂₆	—	4	2	no	—
938	Dic₂₆	H(5,𝔽₂)	1	2	yes	complemented
939	C₈×C₁₃	—	2	1	no	—
940	C₈×C₁₃	—	2	1	no	—
941	C₈×C₁₃	—	2	1	no	—
942	C₈×C₁₃	—	2	1	no	—
943	#1055	—	2	1	no	—
944	#1055	—	2	1	no	—
945	#1055	—	2	1	no	—
946	#1055	—	2	1	no	—
947	C₂×H(5,𝔽₂)	—	26	1	no	—
948	C₂²×#41	—	13	1	no	—
949	C₂²×#41	—	13	1	no	—
950	C₂×AGL(1,ℤ/8)	—	13	1	no	—
951	C₂×AGL(1,ℤ/8)	—	13	1	no	—
952	C₂×AGL(1,ℤ/8)	—	13	1	no	—
953	C₂×AGL(1,ℤ/8)	—	13	1	no	—
954	C₂²×SD₁₆	—	13	1	no	—
955	C₂²×SD₁₆	—	13	1	no	—
956	C₂²×D₈	—	13	1	no	—
957	C₂²×D₈	—	13	1	no	—
958	#550	—	13	1	no	—
959	D₄×Q₈	—	13	1	no	—
960	#548	—	13	1	no	—
961	#548	—	13	1	no	—
962	#547	—	13	1	no	—
963	#547	—	13	1	no	—
964	#547	—	13	1	no	—
965	#547	—	13	1	no	—
966	#547	—	26	1	no	—
967	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#546	—	13	1	no	—
969	#546	—	26	1	no	—
970	#546	—	26	1	no	—
971	#546	—	26	1	no	—
972	#546	—	26	1	no	—
973	#546	—	26	1	no	—
974	#546	—	26	1	no	—
975	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
976	D₄²	—	13	1	no	—
977	D₄²	—	13	1	no	—
978	D₄²	—	13	1	no	—
979	D₄²	—	13	1	no	—
980	D₄²	—	13	1	no	—
981	D₄²	—	26	1	no	—
982	#537	—	26	1	no	—
983	#534	—	26	1	no	—
984	#534	—	26	1	no	—
985	#532	—	13	1	no	—
986	#532	—	13	1	no	—
987	#532	—	13	1	no	—
988	#532	—	26	1	no	—
989	#525	—	13	1	no	—
990	#525	—	13	1	no	—
991	#525	—	26	1	no	—
992	#525	—	26	1	no	—
993	C₂×#121	—	13	1	no	—
994	C₂×#121	—	13	1	no	—
995	C₂×#121	—	13	1	no	—
996	C₂×#121	—	13	1	no	—
997	C₄×#41	—	13	1	no	—
998	C₂×C₄×D₄	—	13	1	no	—
999	C₂×C₄×D₄	—	26	1	no	—
1000	#496	—	13	1	no	—
1001	#496	—	13	1	no	—
1002	#493	—	13	1	no	—
1003	#492	—	13	1	no	—
1004	#489	—	13	1	no	—
1005	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#487	—	13	1	no	—
1007	#486	—	13	1	no	—
1008	#484	—	13	1	no	—
1009	#484	—	13	1	no	—
1010	#483	—	13	1	no	—
1011	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	#482	—	13	1	no	—
1013	#482	—	13	1	no	—
1014	#482	—	13	1	no	—
1015	#482	—	13	1	no	—
1016	#481	—	13	1	no	—
1017	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#480	—	13	1	no	—
1019	#480	—	13	1	no	—
1020	#477	—	13	1	no	—
1021	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#475	—	13	1	no	—
1023	#474	—	13	1	no	—
1024	#469	—	13	1	no	—
1025	#469	—	13	1	no	—
1026	#469	—	13	1	no	—
1027	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#468	—	13	1	no	—
1029	#468	—	13	1	no	—
1030	#468	—	13	1	no	—
1031	#468	—	13	1	no	—
1032	#466	—	13	1	no	—
1033	#466	—	13	1	no	—
1034	#466	—	13	1	no	—
1035	#466	—	13	1	no	—
1036	#465	—	13	1	no	—
1037	#465	—	13	1	no	—
1038	#465	—	13	1	no	—
1039	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1040	#463	—	13	1	no	—
1041	#463	—	13	1	no	—
1042	#463	—	13	1	no	—
1043	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	#461	—	13	1	no	—
1045	#461	—	13	1	no	—
1046	#460	—	13	1	no	—
1047	#460	—	13	1	no	—
1048	#459	—	13	1	no	—
1049	#459	—	13	1	no	—
1050	#459	—	13	1	no	—
1051	#459	—	13	1	no	—
1052	#450	—	13	1	no	—
1053	#450	—	13	1	no	—
1054	#450	—	13	1	no	—
1055	#450	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	—	13	1	no	—
1058	#449	—	13	1	no	—
1059	#449	—	13	1	no	—
1060	#449	—	13	1	no	—
1061	#449	—	13	1	no	—
1062	#449	—	13	1	no	—
1063	#449	—	13	1	no	—
1064	#449	—	13	1	no	—
1065	#449	—	13	1	no	—
1066	#449	—	13	1	no	—
1067	#449	—	13	1	no	—
1068	#449	—	13	1	no	—
1069	#449	—	13	1	no	—
1070	#449	—	13	1	no	—
1071	#449	—	13	1	no	—
1072	#449	—	13	1	no	—
1073	#449	—	13	1	no	—
1074	#449	—	13	1	no	—
1075	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1076	#448	—	13	1	no	—
1077	#448	—	13	1	no	—
1078	#448	—	13	1	no	—
1079	#448	—	13	1	no	—
1080	#447	—	13	1	no	—
1081	#447	—	13	1	no	—
1082	#447	—	13	1	no	—
1083	#447	—	13	1	no	—
1084	#447	—	13	1	no	—
1085	#447	—	13	1	no	—
1086	#447	—	13	1	no	—
1087	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1088	#442	—	13	1	no	—
1089	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1090	#440	—	13	1	no	—
1091	#440	—	13	1	no	—
1092	C₄×SD₁₆	—	13	1	no	—
1093	C₄×SD₁₆	—	13	1	no	—
1094	C₄×D₈	—	13	1	no	—
1095	C₄×D₈	—	13	1	no	—
1096	#436	—	13	1	no	—
1097	#436	—	13	1	no	—
1098	#435	—	13	1	no	—
1099	#435	—	13	1	no	—
1100	#435	—	13	1	no	—
1101	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1102	C₈×D₄	—	13	1	no	—
1103	C₈×D₄	—	13	1	no	—
1104	#432	—	13	1	no	—
1105	#431	—	13	1	no	—
1106	#417	—	13	1	no	—
1107	#417	—	13	1	no	—
1108	#417	—	13	1	no	—
1109	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1110	C₂×#103	—	13	1	no	—
1111	C₂×#103	—	13	1	no	—
1112	C₂×#102	—	13	1	no	—
1113	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1114	#407	—	13	1	no	—
1115	#407	—	13	1	no	—
1116	C₂×C₂²⋊C₈	—	13	1	no	—
1117	C₂×C₂²⋊C₈	—	13	1	no	—
1118	C₂²×C₁₃	—	2	1	no	—
1119	C₂²×C₁₃	—	2	1	no	—
1120	C₂²×C₁₃	—	2	1	no	—
1121	C₂²×C₁₃	—	2	2	no	—
1122	C₂²×C₁₃	—	2	1	no	—
1123	C₂²×C₁₃	—	2	1	no	—
1124	C₂²×C₁₃	—	4	1	no	—
1125	C₂²×C₁₃	—	4	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	4	1	no	—
1128	C₂²×C₁₃	—	4	1	no	—
1129	C₂²×C₁₃	—	4	1	no	—
1130	C₂²×C₁₃	—	4	1	no	—
1131	C₂²×C₁₃	—	4	1	no	—
1132	C₂²×C₁₃	—	8	4	no	—
1133	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1134	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1135	C₂×D₁₃	—	2	1	no	—
1136	C₂×D₁₃	—	2	1	no	—
1137	C₂×D₁₃	—	2	1	no	—
1138	C₂×D₁₃	—	2	1	no	—
1139	C₂×D₁₃	—	2	1	no	—
1140	C₂×D₁₃	—	2	1	no	—
1141	C₂×D₁₃	—	2	1	no	—
1142	C₂×D₁₃	—	2	1	no	—
1143	C₂×D₁₃	—	4	1	no	—
1144	C₂×D₁₃	—	4	1	no	—
1145	C₂×D₁₃	—	4	1	no	—
1146	C₂×D₁₃	—	4	1	no	—
1147	C₂×D₁₃	—	4	1	no	—
1148	C₂×D₁₃	—	4	1	no	—
1149	C₂×D₁₃	—	4	1	no	—
1150	C₂×D₁₃	—	4	1	no	—
1151	C₂×D₁₃	—	4	1	no	—
1152	C₂×D₁₃	—	4	1	no	—
1153	C₂×D₁₃	—	4	1	no	—
1154	C₂×D₁₃	—	4	1	no	—
1155	C₂×D₁₃	—	8	2	no	—
1156	C₂×D₁₃	—	8	4	no	—
1157	C₂×D₁₃	—	8	2	no	—
1158	C₂×D₁₃	—	16	2	no	—
1159	C₂×D₁₃	—	16	2	no	—
1160	C₂×D₁₃	—	16	2	no	—
1161	C₂×D₁₃	—	16	2	no	—
1162	C₂×D₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1163	C₄×C₁₃	—	2	1	no	—
1164	C₄×C₁₃	—	2	1	no	—
1165	C₄×C₁₃	—	2	1	no	—
1166	C₄×C₁₃	—	2	1	no	—
1167	C₄×C₁₃	—	4	1	no	—
1168	C₄×C₁₃	—	4	1	no	—
1169	C₄×C₁₃	—	4	1	no	—
1170	C₄×C₁₃	—	4	1	no	—
1171	C₄×C₁₃	—	4	1	no	—
1172	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1173	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1174	Dic₁₃	—	2	1	no	—
1175	Dic₁₃	—	2	2	no	—
1176	Dic₁₃	—	2	1	no	—
1177	Dic₁₃	—	2	1	no	—
1178	Dic₁₃	—	2	1	no	—
1179	Dic₁₃	—	4	1	no	—
1180	Dic₁₃	—	4	1	no	—
1181	Dic₁₃	—	4	1	no	—
1182	Dic₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1183	H(5,𝔽₂)	—	52	8	no	—
1184	C₂×#41	—	2	1	no	—
1185	C₂×#41	—	13	1	no	—
1186	C₂×#41	—	13	1	no	—
1187	C₂×#41	—	13	1	no	—
1188	C₂×#41	—	13	1	no	—
1189	C₂×#41	—	13	1	no	—
1190	C₂×#41	—	13	1	no	—
1191	C₂×#41	—	26	1	no	—
1192	C₂×#41	—	26	1	no	—
1193	C₂×#41	—	26	1	no	—
1194	C₂×#41	—	26	1	no	—
1195	C₂×#41	—	26	1	no	—
1196	C₂×#41	—	26	1	no	—
1197	C₂×#41	—	26	1	no	—
1198	C₂×#41	—	26	1	no	—
1199	C₂×#41	—	26	1	no	—
1200	C₂×#41	—	52	2	no	—
1201	C₂×#41	—	52	2	no	—
1202	C₂×#41	—	52	2	no	—
1203	C₂×#41	—	52	2	no	—
1204	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1205	C₂²×Q₈	—	13	1	no	—
1206	C₂²×Q₈	—	13	1	no	—
1207	C₂²×D₄	—	13	1	no	—
1208	C₂²×D₄	—	13	1	no	—
1209	C₂²×D₄	—	13	1	no	—
1210	C₂²×D₄	—	13	1	no	—
1211	C₂²×D₄	—	13	1	no	—
1212	C₂²×D₄	—	13	1	no	—
1213	C₂²×D₄	—	26	1	no	—
1214	C₂²×D₄	—	26	1	no	—
1215	C₂²×D₄	—	26	1	no	—
1216	C₂²×D₄	—	26	1	no	—
1217	C₂²×D₄	—	26	1	no	—
1218	C₂²×D₄	—	26	1	no	—
1219	C₂²×D₄	—	26	1	no	—
1220	C₂²×D₄	—	26	1	no	—
1221	C₂²×D₄	—	26	1	no	—
1222	C₂²×D₄	—	26	1	no	—
1223	C₂²×D₄	—	26	1	no	—
1224	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1225	C₂³×C₄	—	13	1	no	—
1226	C₂³×C₄	—	13	1	no	—
1227	C₂³×C₄	—	26	1	no	—
1228	C₂³×C₄	—	26	1	no	—
1229	AGL(1,ℤ/8)	—	52	2	no	—
1230	AGL(1,ℤ/8)	—	52	2	no	—
1231	AGL(1,ℤ/8)	—	52	2	no	—
1232	AGL(1,ℤ/8)	—	52	2	no	—
1233	C₂×SD₁₆	—	13	1	no	—
1234	C₂×SD₁₆	—	13	1	no	—
1235	C₂×SD₁₆	—	13	1	no	—
1236	C₂×SD₁₆	—	13	1	no	—
1237	C₂×SD₁₆	—	13	1	no	—
1238	C₂×SD₁₆	—	13	1	no	—
1239	C₂×SD₁₆	—	13	1	no	—
1240	C₂×SD₁₆	—	13	1	no	—
1241	C₂×SD₁₆	—	13	1	no	—
1242	C₂×SD₁₆	—	13	1	no	—
1243	C₂×SD₁₆	—	13	1	no	—
1244	C₂×SD₁₆	—	52	2	no	—
1245	C₂×SD₁₆	—	52	2	no	—
1246	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1247	C₂×D₈	—	13	1	no	—
1248	C₂×D₈	—	13	1	no	—
1249	C₂×D₈	—	13	1	no	—
1250	C₂×D₈	—	13	1	no	—
1251	C₂×D₈	—	13	1	no	—
1252	C₂×D₈	—	13	1	no	—
1253	C₂×D₈	—	13	1	no	—
1254	C₂×D₈	—	13	1	no	—
1255	C₂×D₈	—	13	1	no	—
1256	C₂×D₈	—	13	1	no	—
1257	C₂×D₈	—	52	2	no	—
1258	C₂×D₈	—	52	2	no	—
1259	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1260	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1261	C₂×M₁₆	—	13	1	no	—
1262	C₂×M₁₆	—	13	1	no	—
1263	C₂×M₁₆	—	13	1	no	—
1264	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂²×C₈	—	13	1	no	—
1266	C₂²×C₈	—	13	1	no	—
1267	C₂²×C₈	—	13	1	no	—
1268	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₄⋊Q₈	—	13	1	no	—
1270	C₄⋊Q₈	—	13	1	no	—
1271	C₄⋊Q₈	—	26	1	no	—
1272	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1273	#127	—	13	1	no	—
1274	#127	—	13	1	no	—
1275	#127	—	13	1	no	—
1276	#127	—	26	1	no	—
1277	#124	—	13	1	no	—
1278	#124	—	26	1	no	—
1279	#124	—	26	1	no	—
1280	#124	—	26	1	no	—
1281	#124	—	26	1	no	—
1282	#124	C₂²×D₁₃	1	1	yes	characteristic
1283	#123	—	2	1	no	—
1284	#123	—	2	1	no	—
1285	#123	—	2	1	no	—
1286	#123	—	26	1	no	—
1287	#123	—	26	1	no	—
1288	#123	—	26	1	no	—
1289	#123	—	26	1	no	—
1290	#123	—	26	1	no	—
1291	#123	—	26	1	no	—
1292	#123	—	26	1	no	—
1293	#123	—	26	1	no	—
1294	#123	—	26	1	no	—
1295	#123	—	26	1	no	—
1296	#123	—	26	1	no	—
1297	C₂²⋊Q₈	—	2	1	no	—
1298	C₂²⋊Q₈	—	13	1	no	—
1299	C₂²⋊Q₈	—	13	1	no	—
1300	C₂²⋊Q₈	—	13	1	no	—
1301	C₂²⋊Q₈	—	26	1	no	—
1302	C₂²⋊Q₈	—	26	1	no	—
1303	C₂²⋊Q₈	—	26	1	no	—
1304	C₂²⋊Q₈	—	26	1	no	—
1305	C₂²⋊Q₈	—	26	1	no	—
1306	C₂²⋊Q₈	—	26	1	no	—
1307	C₂²⋊Q₈	—	26	1	no	—
1308	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1309	#121	—	2	1	no	—
1310	#121	—	13	1	no	—
1311	#121	—	13	1	no	—
1312	#121	—	13	1	no	—
1313	#121	—	13	1	no	—
1314	#121	—	13	1	no	—
1315	#121	—	13	1	no	—
1316	#121	—	13	1	no	—
1317	#121	—	13	1	no	—
1318	#121	—	13	1	no	—
1319	#121	—	13	1	no	—
1320	#121	—	13	1	no	—
1321	#121	—	13	1	no	—
1322	#121	—	13	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	—	26	1	no	—
1333	#121	—	26	1	no	—
1334	#121	—	26	1	no	—
1335	#121	—	26	1	no	—
1336	#121	—	26	1	no	—
1337	#121	—	26	1	no	—
1338	#121	—	26	1	no	—
1339	#121	—	26	1	no	—
1340	#121	—	26	1	no	—
1341	#121	—	26	1	no	—
1342	#121	—	26	1	no	—
1343	#121	—	26	1	no	—
1344	#121	—	26	1	no	—
1345	#121	—	26	1	no	—
1346	#121	C₂²×D₁₃	1	1	yes	characteristic
1347	#121	C₂²×D₁₃	1	1	yes	characteristic
1348	#121	C₂²×D₁₃	1	1	yes	characteristic
1349	#120	—	2	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	#120	—	26	1	no	—
1353	#120	—	26	1	no	—
1354	#120	—	26	1	no	—
1355	#120	—	26	1	no	—
1356	#120	—	26	1	no	—
1357	#120	—	26	1	no	—
1358	#120	—	26	1	no	—
1359	#120	—	26	1	no	—
1360	#120	—	26	1	no	—
1361	#120	—	26	1	no	—
1362	#120	—	26	1	no	—
1363	C₄×Q₈	—	13	1	no	—
1364	C₄×Q₈	—	13	1	no	—
1365	C₄×D₄	—	13	1	no	—
1366	C₄×D₄	—	13	1	no	—
1367	C₄×D₄	—	13	1	no	—
1368	C₄×D₄	—	13	1	no	—
1369	C₄×D₄	—	13	1	no	—
1370	C₄×D₄	—	13	1	no	—
1371	C₄×D₄	—	13	1	no	—
1372	C₄×D₄	—	13	1	no	—
1373	C₄×D₄	—	13	1	no	—
1374	C₄×D₄	—	13	1	no	—
1375	C₄×D₄	—	13	1	no	—
1376	C₄×D₄	—	26	1	no	—
1377	C₄×D₄	—	26	1	no	—
1378	C₄×D₄	—	26	1	no	—
1379	C₄×D₄	—	26	1	no	—
1380	C₄×D₄	—	26	1	no	—
1381	C₄×D₄	—	26	1	no	—
1382	C₄×D₄	—	26	1	no	—
1383	C₄×D₄	—	26	1	no	—
1384	C₄×D₄	—	26	1	no	—
1385	C₄×D₄	—	26	1	no	—
1386	C₄×D₄	—	26	1	no	—
1387	C₄×D₄	—	26	1	no	—
1388	C₄×D₄	—	26	1	no	—
1389	C₄×D₄	—	26	1	no	—
1390	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1391	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1392	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1393	#117	—	13	1	no	—
1394	#117	—	26	1	no	—
1395	C₂×C₄⋊C₄	—	13	1	no	—
1396	C₂×C₄⋊C₄	—	13	1	no	—
1397	C₂×C₄⋊C₄	—	13	1	no	—
1398	C₂×C₄⋊C₄	—	26	1	no	—
1399	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1400	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂×C₂²⋊C₄	—	2	1	no	—
1402	C₂×C₂²⋊C₄	—	13	1	no	—
1403	C₂×C₂²⋊C₄	—	13	1	no	—
1404	C₂×C₂²⋊C₄	—	26	1	no	—
1405	C₂×C₂²⋊C₄	—	26	1	no	—
1406	C₂×C₂²⋊C₄	—	26	1	no	—
1407	C₂×C₂²⋊C₄	—	26	1	no	—
1408	C₂×C₂²⋊C₄	—	26	1	no	—
1409	C₂×C₄²	—	13	1	no	—
1410	C₂×C₄²	—	26	1	no	—
1411	#107	—	13	1	no	—
1412	#107	—	13	1	no	—
1413	#107	—	13	1	no	—
1414	#107	—	13	1	no	—
1415	#106	—	13	1	no	—
1416	#106	C₂²×D₁₃	1	1	yes	characteristic
1417	#106	C₂²×D₁₃	1	1	yes	characteristic
1418	#106	C₂²×D₁₃	1	1	yes	characteristic
1419	C₄⋊C₈	—	13	1	no	—
1420	C₄⋊C₈	—	13	1	no	—
1421	C₄⋊C₈	—	13	1	no	—
1422	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1423	#103	—	13	1	no	—
1424	#103	—	13	1	no	—
1425	#103	—	13	1	no	—
1426	#103	—	13	1	no	—
1427	#103	—	13	1	no	—
1428	#103	—	13	1	no	—
1429	#103	—	13	1	no	—
1430	#103	—	13	1	no	—
1431	#103	—	13	1	no	—
1432	#103	C₂²×D₁₃	1	1	yes	characteristic
1433	#103	C₂²×D₁₃	1	1	yes	characteristic
1434	#103	C₂²×D₁₃	1	1	yes	characteristic
1435	#102	—	13	1	no	—
1436	#102	—	13	1	no	—
1437	#102	—	13	1	no	—
1438	#102	—	13	1	no	—
1439	#102	—	13	1	no	—
1440	#102	—	13	1	no	—
1441	#102	—	13	1	no	—
1442	#102	—	13	1	no	—
1443	#102	—	13	1	no	—
1444	#102	—	13	1	no	—
1445	#102	—	13	1	no	—
1446	#102	—	13	1	no	—
1447	#102	—	13	1	no	—
1448	#102	C₂²×D₁₃	1	1	yes	characteristic
1449	#102	C₂²×D₁₃	1	1	yes	characteristic
1450	#102	C₂²×D₁₃	1	1	yes	characteristic
1451	#102	C₂²×D₁₃	1	1	yes	characteristic
1452	#102	C₂²×D₁₃	1	1	yes	characteristic
1453	#102	C₂²×D₁₃	1	1	yes	characteristic
1454	#102	C₂²×D₁₃	1	1	yes	characteristic
1455	C₂²⋊C₈	—	13	1	no	—
1456	C₂²⋊C₈	—	13	1	no	—
1457	C₂²⋊C₈	—	13	1	no	—
1458	C₂²⋊C₈	—	13	1	no	—
1459	C₂²⋊C₈	—	13	1	no	—
1460	C₂²⋊C₈	—	13	1	no	—
1461	C₂²⋊C₈	—	13	1	no	—
1462	C₂²⋊C₈	—	13	1	no	—
1463	C₂²⋊C₈	—	13	1	no	—
1464	C₂²⋊C₈	—	13	1	no	—
1465	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1466	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1467	#97	—	13	1	no	—
1468	#97	C₂²×D₁₃	1	1	yes	characteristic
1469	C₄×C₈	—	13	1	no	—
1470	C₄×C₈	—	13	1	no	—
1471	C₂×C₁₃	—	2	2	no	—
1472	C₂×C₁₃	—	4	1	no	—
1473	C₂×C₁₃	—	4	2	no	—
1474	C₂×C₁₃	—	8	1	no	—
1475	C₂×C₁₃	—	8	1	no	—
1476	C₂×C₁₃	#3484	1	1	yes	characteristic
1477	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1478	C₂×C₁₃	#3584	1	1	yes	characteristic
1479	D₁₃	—	2	2	no	—
1480	D₁₃	—	4	1	no	—
1481	D₁₃	—	4	1	no	—
1482	D₁₃	—	8	1	no	—
1483	D₁₃	—	8	1	no	—
1484	D₁₃	—	8	1	no	—
1485	D₁₃	—	8	1	no	—
1486	C₂⁴	—	2	1	no	—
1487	C₂⁴	—	13	1	no	—
1488	C₂⁴	—	13	1	no	—
1489	C₂⁴	—	26	1	no	—
1490	C₂⁴	—	26	1	no	—
1491	C₂⁴	—	26	1	no	—
1492	C₂⁴	—	26	1	no	—
1493	C₂⁴	—	26	1	no	—
1494	#41	—	2	2	no	—
1495	#41	—	4	1	no	—
1496	#41	—	4	4	no	—
1497	#41	—	26	2	no	—
1498	#41	—	26	2	no	—
1499	#41	—	26	2	no	—
1500	#41	—	26	2	no	—
1501	#41	—	26	2	no	—
1502	#41	—	52	1	no	—
1503	#41	—	52	4	no	—
1504	#41	—	52	4	no	—
1505	#41	—	52	4	no	—
1506	#41	—	52	4	no	—
1507	#41	—	52	1	no	—
1508	#41	—	52	1	no	—
1509	#41	—	52	1	no	—
1510	#41	—	52	1	no	—
1511	#41	—	52	4	no	—
1512	#41	—	52	4	no	—
1513	#41	—	52	1	no	—
1514	#41	—	52	1	no	—
1515	#41	—	52	4	no	—
1516	#41	—	52	4	no	—
1517	#41	—	52	4	no	—
1518	C₂×Q₈	—	2	1	no	—
1519	C₂×Q₈	—	13	1	no	—
1520	C₂×Q₈	—	13	1	no	—
1521	C₂×Q₈	—	26	1	no	—
1522	C₂×Q₈	—	26	1	no	—
1523	C₂×Q₈	—	26	2	no	—
1524	C₂×Q₈	—	26	1	no	—
1525	C₂×Q₈	—	26	2	no	—
1526	C₂×Q₈	—	52	1	no	—
1527	C₂×Q₈	—	52	1	no	—
1528	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂×D₄	—	2	2	no	—
1530	C₂×D₄	—	2	1	no	—
1531	C₂×D₄	—	2	1	no	—
1532	C₂×D₄	—	2	1	no	—
1533	C₂×D₄	—	2	1	no	—
1534	C₂×D₄	—	2	1	no	—
1535	C₂×D₄	—	4	1	no	—
1536	C₂×D₄	—	13	1	no	—
1537	C₂×D₄	—	13	1	no	—
1538	C₂×D₄	—	13	1	no	—
1539	C₂×D₄	—	13	1	no	—
1540	C₂×D₄	—	13	1	no	—
1541	C₂×D₄	—	13	1	no	—
1542	C₂×D₄	—	13	1	no	—
1543	C₂×D₄	—	26	1	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	26	1	no	—
1552	C₂×D₄	—	26	1	no	—
1553	C₂×D₄	—	26	1	no	—
1554	C₂×D₄	—	26	1	no	—
1555	C₂×D₄	—	26	1	no	—
1556	C₂×D₄	—	26	1	no	—
1557	C₂×D₄	—	26	1	no	—
1558	C₂×D₄	—	26	1	no	—
1559	C₂×D₄	—	26	4	no	—
1560	C₂×D₄	—	26	1	no	—
1561	C₂×D₄	—	26	2	no	—
1562	C₂×D₄	—	26	1	no	—
1563	C₂×D₄	—	26	1	no	—
1564	C₂×D₄	—	26	1	no	—
1565	C₂×D₄	—	26	1	no	—
1566	C₂×D₄	—	26	1	no	—
1567	C₂×D₄	—	26	1	no	—
1568	C₂×D₄	—	26	1	no	—
1569	C₂×D₄	—	26	1	no	—
1570	C₂×D₄	—	26	1	no	—
1571	C₂×D₄	—	26	1	no	—
1572	C₂×D₄	—	26	1	no	—
1573	C₂×D₄	—	26	1	no	—
1574	C₂×D₄	—	26	1	no	—
1575	C₂×D₄	—	52	1	no	—
1576	C₂×D₄	—	52	1	no	—
1577	C₂×D₄	—	52	1	no	—
1578	C₂×D₄	—	52	1	no	—
1579	C₂×D₄	—	52	4	no	—
1580	C₂×D₄	—	52	4	no	—
1581	C₂×D₄	—	52	4	no	—
1582	C₂×D₄	—	52	1	no	—
1583	C₂×D₄	—	52	1	no	—
1584	C₂×D₄	—	52	1	no	—
1585	C₂×D₄	—	52	1	no	—
1586	C₂×D₄	—	52	1	no	—
1587	C₂×D₄	—	52	4	no	—
1588	C₂×D₄	—	52	4	no	—
1589	C₂×D₄	—	52	4	no	—
1590	C₂×D₄	—	52	4	no	—
1591	C₂×D₄	—	52	4	no	—
1592	C₂×D₄	—	52	4	no	—
1593	C₂×D₄	—	52	4	no	—
1594	C₂×D₄	—	52	4	no	—
1595	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1596	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂²×C₄	—	2	1	no	—
1600	C₂²×C₄	—	2	1	no	—
1601	C₂²×C₄	—	2	1	no	—
1602	C₂²×C₄	—	2	1	no	—
1603	C₂²×C₄	—	2	1	no	—
1604	C₂²×C₄	—	13	1	no	—
1605	C₂²×C₄	—	13	1	no	—
1606	C₂²×C₄	—	13	1	no	—
1607	C₂²×C₄	—	13	1	no	—
1608	C₂²×C₄	—	13	1	no	—
1609	C₂²×C₄	—	13	1	no	—
1610	C₂²×C₄	—	13	1	no	—
1611	C₂²×C₄	—	13	1	no	—
1612	C₂²×C₄	—	13	1	no	—
1613	C₂²×C₄	—	13	1	no	—
1614	C₂²×C₄	—	13	1	no	—
1615	C₂²×C₄	—	26	1	no	—
1616	C₂²×C₄	—	26	1	no	—
1617	C₂²×C₄	—	26	1	no	—
1618	C₂²×C₄	—	26	1	no	—
1619	C₂²×C₄	—	26	1	no	—
1620	C₂²×C₄	—	26	1	no	—
1621	C₂²×C₄	—	26	1	no	—
1622	C₂²×C₄	—	26	1	no	—
1623	C₂²×C₄	—	26	1	no	—
1624	C₂²×C₄	—	26	1	no	—
1625	C₂²×C₄	—	26	1	no	—
1626	C₂²×C₄	—	26	1	no	—
1627	C₂²×C₄	—	26	1	no	—
1628	C₂²×C₄	—	26	1	no	—
1629	C₂²×C₄	—	52	1	no	—
1630	C₂²×C₄	—	52	1	no	—
1631	C₂²×C₄	—	52	1	no	—
1632	C₂²×C₄	—	52	1	no	—
1633	C₂²×C₄	—	52	4	no	—
1634	C₂²×C₄	—	52	4	no	—
1635	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1636	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	SD₁₆	—	4	1	no	—
1638	SD₁₆	—	26	2	no	—
1639	SD₁₆	—	26	2	no	—
1640	SD₁₆	—	26	2	no	—
1641	SD₁₆	—	26	2	no	—
1642	SD₁₆	—	52	1	no	—
1643	SD₁₆	—	52	1	no	—
1644	SD₁₆	—	52	1	no	—
1645	SD₁₆	—	52	1	no	—
1646	SD₁₆	—	52	1	no	—
1647	SD₁₆	—	52	1	no	—
1648	SD₁₆	—	52	1	no	—
1649	D₈	—	2	2	no	—
1650	D₈	—	4	1	no	—
1651	D₈	—	26	2	no	—
1652	D₈	—	26	2	no	—
1653	D₈	—	26	2	no	—
1654	D₈	—	52	1	no	—
1655	D₈	—	52	1	no	—
1656	D₈	—	52	1	no	—
1657	D₈	—	52	1	no	—
1658	D₈	—	52	1	no	—
1659	D₈	—	52	1	no	—
1660	D₈	—	52	1	no	—
1661	M₁₆	—	4	1	no	—
1662	M₁₆	—	52	1	no	—
1663	M₁₆	—	52	1	no	—
1664	M₁₆	—	52	1	no	—
1665	C₂×C₈	—	4	1	no	—
1666	C₂×C₈	—	13	1	no	—
1667	C₂×C₈	—	13	1	no	—
1668	C₂×C₈	—	13	1	no	—
1669	C₂×C₈	—	13	1	no	—
1670	C₂×C₈	—	52	1	no	—
1671	C₂×C₈	—	52	1	no	—
1672	C₂×C₈	—	52	1	no	—
1673	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1674	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1675	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1676	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1677	C₄⋊C₄	—	2	1	no	—
1678	C₄⋊C₄	—	2	1	no	—
1679	C₄⋊C₄	—	2	1	no	—
1680	C₄⋊C₄	—	2	1	no	—
1681	C₄⋊C₄	—	13	1	no	—
1682	C₄⋊C₄	—	13	1	no	—
1683	C₄⋊C₄	—	13	1	no	—
1684	C₄⋊C₄	—	13	1	no	—
1685	C₄⋊C₄	—	13	1	no	—
1686	C₄⋊C₄	—	26	1	no	—
1687	C₄⋊C₄	—	26	1	no	—
1688	C₄⋊C₄	—	26	1	no	—
1689	C₄⋊C₄	—	26	1	no	—
1690	C₄⋊C₄	—	26	1	no	—
1691	C₄⋊C₄	—	26	1	no	—
1692	C₄⋊C₄	—	26	1	no	—
1693	C₄⋊C₄	—	26	1	no	—
1694	C₄⋊C₄	—	26	1	no	—
1695	C₄⋊C₄	—	26	1	no	—
1696	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1697	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1698	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1699	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1700	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1701	C₂²⋊C₄	—	2	1	no	—
1702	C₂²⋊C₄	—	2	1	no	—
1703	C₂²⋊C₄	—	2	1	no	—
1704	C₂²⋊C₄	—	2	1	no	—
1705	C₂²⋊C₄	—	2	1	no	—
1706	C₂²⋊C₄	—	2	1	no	—
1707	C₂²⋊C₄	—	2	1	no	—
1708	C₂²⋊C₄	—	2	1	no	—
1709	C₂²⋊C₄	—	13	1	no	—
1710	C₂²⋊C₄	—	13	1	no	—
1711	C₂²⋊C₄	—	13	1	no	—
1712	C₂²⋊C₄	—	13	1	no	—
1713	C₂²⋊C₄	—	13	1	no	—
1714	C₂²⋊C₄	—	13	1	no	—
1715	C₂²⋊C₄	—	26	1	no	—
1716	C₂²⋊C₄	—	26	1	no	—
1717	C₂²⋊C₄	—	26	1	no	—
1718	C₂²⋊C₄	—	26	1	no	—
1719	C₂²⋊C₄	—	26	1	no	—
1720	C₂²⋊C₄	—	26	1	no	—
1721	C₂²⋊C₄	—	26	1	no	—
1722	C₂²⋊C₄	—	26	1	no	—
1723	C₂²⋊C₄	—	26	1	no	—
1724	C₂²⋊C₄	—	26	1	no	—
1725	C₂²⋊C₄	—	26	1	no	—
1726	C₂²⋊C₄	—	26	1	no	—
1727	C₂²⋊C₄	—	26	1	no	—
1728	C₂²⋊C₄	—	26	1	no	—
1729	C₂²⋊C₄	—	26	1	no	—
1730	C₂²⋊C₄	—	26	1	no	—
1731	C₂²⋊C₄	—	26	1	no	—
1732	C₂²⋊C₄	—	26	1	no	—
1733	C₂²⋊C₄	—	26	1	no	—
1734	C₂²⋊C₄	—	26	1	no	—
1735	C₂²⋊C₄	—	26	1	no	—
1736	C₂²⋊C₄	—	26	1	no	—
1737	C₂²⋊C₄	—	26	1	no	—
1738	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1739	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1740	C₄²	—	13	1	no	—
1741	C₄²	—	13	1	no	—
1742	C₄²	—	13	1	no	—
1743	C₄²	—	26	1	no	—
1744	C₄²	—	26	1	no	—
1745	C₄²	—	26	1	no	—
1746	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1747	C₁₃	#61598	1	1	yes	characteristic, complemented, Sylow
1748	C₂³	—	2	1	no	—
1749	C₂³	—	2	1	no	—
1750	C₂³	—	2	1	no	—
1751	C₂³	—	4	2	no	—
1752	C₂³	—	4	2	no	—
1753	C₂³	—	8	1	no	—
1754	C₂³	—	13	1	no	—
1755	C₂³	—	13	1	no	—
1756	C₂³	—	13	1	no	—
1757	C₂³	—	26	2	no	—
1758	C₂³	—	26	2	no	—
1759	C₂³	—	26	1	no	—
1760	C₂³	—	26	1	no	—
1761	C₂³	—	26	1	no	—
1762	C₂³	—	26	1	no	—
1763	C₂³	—	52	1	no	—
1764	C₂³	—	52	1	no	—
1765	C₂³	—	52	1	no	—
1766	C₂³	—	52	1	no	—
1767	C₂³	—	52	2	no	—
1768	C₂³	—	52	2	no	—
1769	C₂³	—	52	2	no	—
1770	C₂³	—	52	2	no	—
1771	C₂³	—	52	2	no	—
1772	C₂³	—	52	2	no	—
1773	C₂³	—	104	1	no	—
1774	C₂³	—	104	1	no	—
1775	C₂³	—	104	1	no	—
1776	C₂³	—	104	1	no	—
1777	C₂³	—	104	1	no	—
1778	C₂³	—	104	1	no	—
1779	C₂³	—	104	1	no	—
1780	C₂³	—	104	1	no	—
1781	C₂³	—	104	1	no	—
1782	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1783	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1784	Q₈	—	2	1	no	—
1785	Q₈	—	2	1	no	—
1786	Q₈	—	4	2	no	—
1787	Q₈	—	13	2	no	—
1788	Q₈	—	26	1	no	—
1789	Q₈	—	26	1	no	—
1790	Q₈	—	26	1	no	—
1791	Q₈	—	52	2	no	—
1792	Q₈	—	52	2	no	—
1793	Q₈	—	52	2	no	—
1794	D₄	—	2	2	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	2	1	no	—
1800	D₄	—	4	2	no	—
1801	D₄	—	4	2	no	—
1802	D₄	—	4	2	no	—
1803	D₄	—	4	2	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	13	4	no	—
1806	D₄	—	26	2	no	—
1807	D₄	—	26	2	no	—
1808	D₄	—	26	4	no	—
1809	D₄	—	26	1	no	—
1810	D₄	—	26	1	no	—
1811	D₄	—	26	1	no	—
1812	D₄	—	26	1	no	—
1813	D₄	—	26	1	no	—
1814	D₄	—	26	1	no	—
1815	D₄	—	26	1	no	—
1816	D₄	—	26	1	no	—
1817	D₄	—	52	2	no	—
1818	D₄	—	52	2	no	—
1819	D₄	—	52	2	no	—
1820	D₄	—	52	2	no	—
1821	D₄	—	52	2	no	—
1822	D₄	—	52	2	no	—
1823	D₄	—	52	2	no	—
1824	D₄	—	52	2	no	—
1825	D₄	—	52	2	no	—
1826	D₄	—	52	2	no	—
1827	D₄	—	52	2	no	—
1828	D₄	—	52	2	no	—
1829	D₄	—	52	2	no	—
1830	D₄	—	52	2	no	—
1831	D₄	—	52	2	no	—
1832	D₄	—	52	2	no	—
1833	D₄	—	52	2	no	—
1834	D₄	—	52	2	no	—
1835	D₄	—	52	2	no	—
1836	D₄	—	52	2	no	—
1837	D₄	—	52	2	no	—
1838	D₄	—	104	1	no	—
1839	D₄	—	104	1	no	—
1840	D₄	—	104	1	no	—
1841	D₄	—	104	1	no	—
1842	D₄	—	104	1	no	—
1843	D₄	—	104	1	no	—
1844	D₄	—	104	1	no	—
1845	D₄	—	104	1	no	—
1846	D₄	#88256	1	2	yes	complemented
1847	C₂×C₄	—	2	1	no	—
1848	C₂×C₄	—	2	1	no	—
1849	C₂×C₄	—	2	1	no	—
1850	C₂×C₄	—	2	1	no	—
1851	C₂×C₄	—	2	1	no	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	4	2	no	—
1857	C₂×C₄	—	4	2	no	—
1858	C₂×C₄	—	4	2	no	—
1859	C₂×C₄	—	4	2	no	—
1860	C₂×C₄	—	8	1	no	—
1861	C₂×C₄	—	13	1	no	—
1862	C₂×C₄	—	13	1	no	—
1863	C₂×C₄	—	13	1	no	—
1864	C₂×C₄	—	13	1	no	—
1865	C₂×C₄	—	13	1	no	—
1866	C₂×C₄	—	26	2	no	—
1867	C₂×C₄	—	26	4	no	—
1868	C₂×C₄	—	26	1	no	—
1869	C₂×C₄	—	26	1	no	—
1870	C₂×C₄	—	26	1	no	—
1871	C₂×C₄	—	26	1	no	—
1872	C₂×C₄	—	26	1	no	—
1873	C₂×C₄	—	26	1	no	—
1874	C₂×C₄	—	26	1	no	—
1875	C₂×C₄	—	26	1	no	—
1876	C₂×C₄	—	26	1	no	—
1877	C₂×C₄	—	26	1	no	—
1878	C₂×C₄	—	52	1	no	—
1879	C₂×C₄	—	52	1	no	—
1880	C₂×C₄	—	52	1	no	—
1881	C₂×C₄	—	52	1	no	—
1882	C₂×C₄	—	52	1	no	—
1883	C₂×C₄	—	52	2	no	—
1884	C₂×C₄	—	52	2	no	—
1885	C₂×C₄	—	52	2	no	—
1886	C₂×C₄	—	52	2	no	—
1887	C₂×C₄	—	52	2	no	—
1888	C₂×C₄	—	52	2	no	—
1889	C₂×C₄	—	52	2	no	—
1890	C₂×C₄	—	52	2	no	—
1891	C₂×C₄	—	52	2	no	—
1892	C₂×C₄	—	52	1	no	—
1893	C₂×C₄	—	52	1	no	—
1894	C₂×C₄	—	52	2	no	—
1895	C₂×C₄	—	52	2	no	—
1896	C₂×C₄	—	52	2	no	—
1897	C₂×C₄	—	52	2	no	—
1898	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1899	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1900	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1901	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1902	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1903	C₈	—	2	1	no	—
1904	C₈	—	2	1	no	—
1905	C₈	—	2	1	no	—
1906	C₈	—	2	1	no	—
1907	C₈	—	26	1	no	—
1908	C₈	—	26	1	no	—
1909	C₈	—	26	1	no	—
1910	C₈	—	26	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	2	1	no	—
1913	C₂²	—	2	1	no	—
1914	C₂²	—	2	2	no	—
1915	C₂²	—	2	1	no	—
1916	C₂²	—	2	1	no	—
1917	C₂²	—	4	1	no	—
1918	C₂²	—	4	1	no	—
1919	C₂²	—	4	1	no	—
1920	C₂²	—	4	1	no	—
1921	C₂²	—	4	1	no	—
1922	C₂²	—	4	1	no	—
1923	C₂²	—	4	1	no	—
1924	C₂²	—	4	1	no	—
1925	C₂²	—	8	4	no	—
1926	C₂²	—	13	2	no	—
1927	C₂²	—	26	1	no	—
1928	C₂²	—	26	1	no	—
1929	C₂²	—	26	1	no	—
1930	C₂²	—	26	1	no	—
1931	C₂²	—	26	1	no	—
1932	C₂²	—	26	1	no	—
1933	C₂²	—	26	1	no	—
1934	C₂²	—	26	1	no	—
1935	C₂²	—	52	1	no	—
1936	C₂²	—	52	1	no	—
1937	C₂²	—	52	1	no	—
1938	C₂²	—	52	1	no	—
1939	C₂²	—	52	1	no	—
1940	C₂²	—	52	1	no	—
1941	C₂²	—	52	1	no	—
1942	C₂²	—	52	1	no	—
1943	C₂²	—	52	1	no	—
1944	C₂²	—	52	1	no	—
1945	C₂²	—	52	1	no	—
1946	C₂²	—	52	1	no	—
1947	C₂²	—	104	2	no	—
1948	C₂²	—	104	2	no	—
1949	C₂²	—	104	4	no	—
1950	C₂²	—	208	2	no	—
1951	C₂²	—	208	2	no	—
1952	C₂²	—	208	2	no	—
1953	C₂²	—	208	2	no	—
1954	C₂²	D₁₃×AGL(1,ℤ/8)	1	2	yes	—
1955	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	2	1	no	—
1960	C₄	—	4	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	4	1	no	—
1965	C₄	—	13	2	no	—
1966	C₄	—	26	1	no	—
1967	C₄	—	26	1	no	—
1968	C₄	—	26	1	no	—
1969	C₄	—	26	2	no	—
1970	C₄	—	26	1	no	—
1971	C₄	—	52	1	no	—
1972	C₄	—	52	1	no	—
1973	C₄	—	52	1	no	—
1974	C₄	C₂×#88256	1	1	yes	characteristic
1975	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1976	C₂	—	2	2	no	—
1977	C₂	—	4	1	no	—
1978	C₂	—	4	2	no	—
1979	C₂	—	8	1	no	—
1980	C₂	—	8	1	no	—
1981	C₂	—	26	2	no	—
1982	C₂	—	52	1	no	—
1983	C₂	—	52	1	no	—
1984	C₂	—	104	1	no	—
1985	C₂	—	104	1	no	—
1986	C₂	—	104	1	no	—
1987	C₂	—	104	1	no	—
1988	C₂	#13128466	1	1	yes	characteristic
1989	C₂	C₂×D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1990	C₂	#13129608	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×#3306	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3306	D₁₃
hypocenter	C₁₃	#61598
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3306

Complements

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

N	H ≅ G/N	type
1. #13128594	C₂	semidirect
2. #13128320	C₂	semidirect
3. #13127161	C₂	semidirect
4. #13127137	C₂	semidirect
5. #13126826	C₂	semidirect
6. #13126821	C₂	semidirect
7. #13126794	C₂	semidirect
8. #13126699	C₂	semidirect
9. #13126645	C₂	semidirect
10. #13126529	C₂	semidirect
11. #13126506	C₂	semidirect
12. #13126453	C₂	semidirect
13. #13126429	C₂	semidirect
14. #13126337	C₂	semidirect
15. #13126336	C₂	semidirect
16. #13126318	C₂	semidirect
17. #13126317	C₂	semidirect
18. #13125832	C₂	semidirect
19. #13125768	C₂	semidirect
20. #13125655	C₂	semidirect
21. #13125645	C₂	semidirect
22. #13125602	C₂	semidirect
23. #13125600	C₂	semidirect
24. #13124983	C₂	semidirect
25. #13124898	C₂	semidirect
26. #13124089	C₂	semidirect
27. #13124083	C₂	semidirect
28. C₂×#11718442	C₂	semidirect
29. D₁₃×#449	C₂	semidirect
30. #13123866	C₂	semidirect
31. C₁₃×#3306	C₂	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
34. C₂²×#6129	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
36. C₁₃×#546	C₂²	semidirect
38. #11719529	C₂²	semidirect
39. C₂×#88203	C₂²	semidirect
40. D₄×C₂²⋊D₁₃	C₂²	semidirect
41. C₂²×#6104	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
43. C₂×#88165	C₂²	semidirect
44. C₂×#88165	C₂²	semidirect
45. C₂×D₈×D₁₃	C₂²	semidirect
46. C₂×#88162	C₂²	semidirect
47. C₂²×#6095	C₂²	semidirect
48. #11719431	C₂²	semidirect
49. #11719430	C₂²	semidirect
50. #11719382	C₂²	semidirect
51. #11719373	C₂²	semidirect
58. #11719337	C₂²	semidirect
61. #11719332	C₂²	semidirect
64. #11719314	C₂²	semidirect
65. #11719311	C₂²	semidirect
66. D₁₃×#121	C₂²	semidirect
67. D₁₃×#121	C₂²	semidirect
68. #11719304	C₂²	semidirect
72. #11719259	C₂²	semidirect
73. #11719257	C₂²	semidirect
74. D₄×D₅₂	C₂²	semidirect
75. D₄×D₅₂	C₂²	semidirect
76. #11719253	C₂²	semidirect
78. C₄×#6129	C₂²	semidirect
80. #11719212	C₂²	semidirect
81. C₂×#88149	C₂²	semidirect
82. C₂×#88149	C₂²	semidirect
85. C₁₃×#489	C₂²	semidirect
86. C₁₃×#483	C₂²	semidirect
87. C₁₃×#481	C₂²	semidirect
88. C₁₃×#476	C₂²	semidirect
89. C₁₃×#469	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#447	C₂²	semidirect
94. C₁₃×#442	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. C₁₃×#417	C₂²	semidirect
97. C₂×C₁₃×#102	C₂²	semidirect
98. #11718899	C₂²	semidirect
99. #11718878	C₂²	semidirect
100. #11718836	C₂²	semidirect
101. #11718833	C₂²	semidirect
102. #11718830	C₂²	semidirect
103. #11718819	C₂²	semidirect
104. #11718819	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718812	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718789	C₂²	semidirect
110. #11718787	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. C₈×C₂²⋊D₁₃	C₂²	semidirect
113. C₂×#88060	C₂²	semidirect
114. #11718752	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718719	C₂²	semidirect
117. #11718718	C₂²	semidirect
118. #11718709	C₂²	semidirect
119. #11718707	C₂²	semidirect
120. #11718703	C₂²	semidirect
121. #11718701	C₂²	semidirect
122. #11718700	C₂²	semidirect
123. #11718699	C₂²	semidirect
124. #11718698	C₂²	semidirect
125. #11718697	C₂²	semidirect
126. #11718679	C₂²	semidirect
127. #11718677	C₂²	semidirect
128. #11718676	C₂²	semidirect
129. #11718675	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718631	C₂²	semidirect
132. C₂×#88050	C₂²	semidirect
133. #11718628	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718527	C₂²	semidirect
136. #11718527	C₂²	semidirect
137. #11718527	C₂²	semidirect
138. #11718526	C₂²	semidirect
139. #11718526	C₂²	semidirect
140. #11718525	C₂²	semidirect
141. #11718525	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718523	C₂²	semidirect
144. #11718515	C₂²	semidirect
145. #11718513	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718509	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. #11718494	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718479	C₂²	semidirect
153. #11718473	C₂²	semidirect
154. #11718473	C₂²	semidirect
155. #11718472	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718472	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718467	C₂²	semidirect
160. #11718467	C₂²	semidirect
161. D₁₃×#103	C₂²	semidirect
162. #11718453	C₂²	semidirect
163. #11718447	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718445	C₂²	semidirect
166. #11718442	C₂²	semidirect
167. #11718442	C₂²	semidirect
168. #11718442	C₂²	semidirect
169. #11718442	C₂²	semidirect
170. #11718442	C₂²	semidirect
171. #11718442	C₂²	semidirect
172. #11718442	C₂²	semidirect
173. #11718442	C₂²	semidirect
174. #11718442	C₂²	semidirect
175. #11718442	C₂²	semidirect
176. #11718437	C₂²	semidirect
177. #11718436	C₂²	semidirect
178. #11718436	C₂²	semidirect
179. #11718435	C₂²	semidirect
180. #11718434	C₂²	semidirect
181. #11718434	C₂²	semidirect
182. #11718434	C₂²	semidirect
183. #11718432	C₂²	semidirect
184. #11718432	C₂²	semidirect
185. D₁₃×#102	C₂²	semidirect
186. #11718423	C₂²	semidirect
187. #11718421	C₂²	semidirect
188. #11718420	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718373	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718366	C₂²	semidirect
760. #3306	D₁₃	semidirect
834. D₄×C₁₃	H(5,𝔽₂)	semidirect
872. C₂²⋊D₁₃	AGL(1,ℤ/8)	semidirect
938. Dic₂₆	H(5,𝔽₂)	semidirect
967. #547	C₂×D₁₃	semidirect
975. #546	C₂×D₁₃	semidirect
1005. #489	C₂×D₁₃	semidirect
1011. #483	C₂×D₁₃	semidirect
1017. #481	C₂×D₁₃	semidirect
1021. #476	C₂×D₁₃	semidirect
1027. #469	C₂×D₁₃	semidirect
1039. #465	C₂×D₁₃	semidirect
1043. #463	C₂×D₁₃	semidirect
1075. #449	C₂×D₁₃	semidirect
1087. #447	C₂×D₁₃	semidirect
1089. #442	C₂×D₁₃	semidirect
1101. #435	C₂×D₁₃	semidirect
1109. #417	C₂×D₁₃	semidirect
1113. C₂×#102	C₂×D₁₃	semidirect
1747. C₁₃	#61598	semidirect
1846. D₄	#88256	semidirect

Maximal subgroups

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

subgroup	index
#13128594	2
#13128320	2
#13127161	2
#13127137	2
#13126826	2
#13126821	2
#13126794	2
#13126699	2
#13126645	2
#13126529	2
#13126506	2
#13126453	2
#13126429	2
#13126337	2
#13126336	2
#13126318	2
#13126317	2
#13125832	2
#13125768	2
#13125655	2
#13125645	2
#13125602	2
#13125600	2
#13124983	2
#13124898	2
#13124089	2
#13124083	2
C₂×#11718442	2
D₁₃×#449	2
#13123866	2
C₁₃×#3306	2
#61598	13