Subgroups — #16728087

Order 3328.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128219	C₂	1	1	yes	maximal, characteristic
2	#13124008	C₂	1	1	yes	maximal, characteristic, complemented
3	#13124007	C₂	1	1	yes	maximal, characteristic, complemented
4	#13124005	C₂	1	1	yes	maximal, characteristic, complemented
5	#13124004	C₂	1	1	yes	maximal, characteristic, complemented
6	#13123999	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123993	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123992	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123990	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123986	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123985	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123979	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123978	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123976	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123973	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123971	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123784	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123781	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123577	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123575	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123534	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123534	C₂	1	1	yes	maximal, characteristic, complemented
23	#13123527	C₂	1	1	yes	maximal, characteristic, complemented
24	#13123525	C₂	1	1	yes	maximal, characteristic, complemented
25	#13123503	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123499	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123470	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123403	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123401	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#529	C₂²	1	1	yes	characteristic
33	C₂×#88161	C₂²	1	1	yes	characteristic
34	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88155	C₂²	1	1	yes	characteristic
36	C₂×#88155	C₂²	1	1	yes	characteristic
37	C₂×#88155	C₂²	1	1	yes	characteristic
38	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
39	#11719415	C₄	1	1	yes	characteristic
40	#11719412	C₄	1	1	yes	characteristic
41	#11719409	C₄	1	1	yes	characteristic
42	#11719406	C₄	1	1	yes	characteristic
43	#11719401	C₄	1	1	yes	characteristic
44	#11719397	C₄	1	1	yes	characteristic
45	#11719383	C₄	1	1	yes	characteristic
46	#11719374	C₄	1	1	yes	characteristic
47	#11719368	C₄	1	1	yes	characteristic
48	#11719367	C₄	1	1	yes	characteristic
49	#11719365	C₄	1	1	yes	characteristic
50	#11719362	C₄	1	1	yes	characteristic
51	#11719345	C₄	1	1	yes	characteristic
52	#11719343	C₄	1	1	yes	characteristic
53	#11719320	C₄	1	1	yes	characteristic
54	#11719318	C₄	1	1	yes	characteristic
55	#11719285	C₂²	1	1	yes	characteristic
56	#11719283	C₂²	1	1	yes	characteristic
57	#11719262	C₂²	1	1	yes	characteristic
58	#11719253	C₂²	1	1	yes	characteristic
59	#11719252	C₂²	1	1	yes	characteristic
60	#11719252	C₂²	1	1	yes	characteristic
61	#11719243	C₂²	1	1	yes	characteristic
62	#11719243	C₂²	1	1	yes	characteristic
63	#11719233	C₂²	1	1	yes	characteristic
64	#11719233	C₂²	1	1	yes	characteristic
65	#11719227	C₂²	1	1	yes	characteristic
66	D₁₃×#117	C₂²	1	1	yes	characteristic
67	#11719184	C₂²	1	1	yes	characteristic
68	C₄×#6127	C₂²	1	1	yes	characteristic
69	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#435	C₂²	1	1	yes	characteristic
72	C₁₃×#435	C₂²	1	1	yes	characteristic
73	C₁₃×#435	C₂²	1	1	yes	characteristic
74	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
75	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
76	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#433	C₂²	1	1	yes	characteristic
78	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#424	C₂²	1	1	yes	characteristic
81	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
83	#11718789	C₂²	1	1	yes	characteristic, complemented
84	#11718788	C₂²	1	1	yes	characteristic
85	#11718788	C₂²	1	1	yes	characteristic
86	#11718788	C₂²	1	1	yes	characteristic
87	#11718780	C₂²	1	1	yes	characteristic
88	#11718779	C₂²	1	1	yes	characteristic, complemented
89	#11718772	C₂²	1	1	yes	characteristic
90	#11718772	C₂²	1	1	yes	characteristic
91	#11718772	C₂²	1	1	yes	characteristic
92	#11718772	C₂²	1	1	yes	characteristic, complemented
93	#11718772	C₂²	1	1	yes	characteristic, complemented
94	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
95	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
96	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
97	#11718763	C₂²	1	1	yes	characteristic
98	#11718763	C₂²	1	1	yes	characteristic, complemented
99	#11718763	C₂²	1	1	yes	characteristic, complemented
100	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
101	#11718685	C₂²	1	1	yes	characteristic, complemented
102	Q₈×#1055	C₂²	1	1	yes	characteristic, complemented
103	#11718673	C₂²	1	1	yes	characteristic
104	#11718673	C₂²	1	1	yes	characteristic
105	#11718673	C₂²	1	1	yes	characteristic, complemented
106	#11718672	C₂²	1	1	yes	characteristic
107	#11718672	C₂²	1	1	yes	characteristic, complemented
108	D₄×#1055	C₂²	1	1	yes	characteristic
109	#11718661	C₂²	1	1	yes	characteristic
110	#11718661	C₂²	1	1	yes	characteristic, complemented
111	#11718660	C₂²	1	1	yes	characteristic
112	#11718660	C₂²	1	1	yes	characteristic, complemented
113	#11718586	C₂²	1	1	yes	characteristic, complemented
114	#11718585	C₂²	1	1	yes	characteristic, complemented
115	#11718501	C₂²	1	1	yes	characteristic
116	#11718501	C₂²	1	1	yes	characteristic
117	#11718501	C₂²	1	1	yes	characteristic, complemented
118	#11718501	C₂²	1	1	yes	characteristic, complemented
119	#11718500	C₂²	1	1	yes	characteristic
120	#11718500	C₂²	1	1	yes	characteristic
121	#11718500	C₂²	1	1	yes	characteristic
122	#11718500	C₂²	1	1	yes	characteristic
123	#11718500	C₂²	1	1	yes	characteristic
124	#11718500	C₂²	1	1	yes	characteristic
125	#11718500	C₂²	1	1	yes	characteristic
126	#11718500	C₂²	1	1	yes	characteristic
127	#11718500	C₂²	1	1	yes	characteristic, complemented
128	#11718500	C₂²	1	1	yes	characteristic, complemented
129	#11718500	C₂²	1	1	yes	characteristic, complemented
130	#11718500	C₂²	1	1	yes	characteristic, complemented
131	#11718499	C₂²	1	1	yes	characteristic
132	#11718499	C₂²	1	1	yes	characteristic
133	#11718498	C₂²	1	1	yes	characteristic
134	#11718498	C₂²	1	1	yes	characteristic
135	#11718498	C₂²	1	1	yes	characteristic, complemented
136	#11718498	C₂²	1	1	yes	characteristic, complemented
137	#11718497	C₂²	1	1	yes	characteristic
138	#11718497	C₂²	1	1	yes	characteristic, complemented
139	#11718496	C₂²	1	1	yes	characteristic, complemented
140	#11718495	C₂²	1	1	yes	characteristic
141	#11718495	C₂²	1	1	yes	characteristic, complemented
142	#11718494	C₂²	1	1	yes	characteristic, complemented
143	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
144	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
145	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
146	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
147	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
148	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
149	#11718492	C₂²	1	1	yes	characteristic, complemented
150	#11718492	C₂²	1	1	yes	characteristic, complemented
151	#11718492	C₂²	1	1	yes	characteristic, complemented
152	#11718491	C₂²	1	1	yes	characteristic, complemented
153	#11718489	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718391	C₂²	1	1	yes	characteristic
156	#11718390	C₂²	1	1	yes	characteristic
157	#11718390	C₂²	1	1	yes	characteristic
158	#11718390	C₂²	1	1	yes	characteristic
159	#11718390	C₂²	1	1	yes	characteristic
160	#11718390	C₂²	1	1	yes	characteristic, complemented
161	#11718389	C₂²	1	1	yes	characteristic
162	#11718389	C₂²	1	1	yes	characteristic, complemented
163	#11718389	C₂²	1	1	yes	characteristic, complemented
164	#11718388	C₂²	1	1	yes	characteristic
165	#11718388	C₂²	1	1	yes	characteristic
166	#11718388	C₂²	1	1	yes	characteristic
167	#11718388	C₂²	1	1	yes	characteristic
168	#11718387	C₂²	1	1	yes	characteristic
169	#11718387	C₂²	1	1	yes	characteristic
170	#11718386	C₂²	1	1	yes	characteristic
171	#11718386	C₂²	1	1	yes	characteristic
172	#11718386	C₂²	1	1	yes	characteristic, complemented
173	#11718381	C₂²	1	1	yes	characteristic
174	#11718381	C₂²	1	1	yes	characteristic
175	#11718381	C₂²	1	1	yes	characteristic, complemented
176	#11718381	C₂²	1	1	yes	characteristic, complemented
177	#11718380	C₂²	1	1	yes	characteristic, complemented
178	#11718379	C₂²	1	1	yes	characteristic, complemented
179	#11718370	C₂²	1	1	yes	characteristic
180	#11718370	C₂²	1	1	yes	characteristic, complemented
181	#11718370	C₂²	1	1	yes	characteristic, complemented
182	#11718369	C₂²	1	1	yes	characteristic
183	#11718369	C₂²	1	1	yes	characteristic
184	#11718369	C₂²	1	1	yes	characteristic
185	#11718368	C₂²	1	1	yes	characteristic
186	#11718367	C₂²	1	1	yes	characteristic
187	#11718367	C₂²	1	1	yes	characteristic
188	#11718367	C₂²	1	1	yes	characteristic
189	#11718367	C₂²	1	1	yes	characteristic, complemented
190	#11718366	C₂²	1	1	yes	characteristic, complemented
191	#11718362	C₂²	1	1	yes	characteristic, complemented
192	#11718362	C₂²	1	1	yes	characteristic, complemented
193	#11718362	C₂²	1	1	yes	characteristic, complemented
194	#11718362	C₂²	1	1	yes	characteristic, complemented
195	#11718351	C₂²	1	1	yes	characteristic
196	#11718350	C₂²	1	1	yes	characteristic
197	#11718349	C₂²	1	1	yes	characteristic, complemented
198	C₄×#6094	C₂²	1	1	yes	characteristic
199	C₈×D₅₂	C₂²	1	1	yes	characteristic
200	#11718346	C₂²	1	1	yes	characteristic, complemented
201	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6127	C₂³	1	1	yes	characteristic
204	C₂×#6127	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
213	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
214	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
215	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
216	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
217	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₁₃×#117	C₂³	1	1	yes	characteristic
225	C₁₃×#117	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	#88201	C₂×C₄	1	1	yes	characteristic
228	#88200	C₂×C₄	1	1	yes	characteristic
229	#88200	C₂×C₄	1	1	yes	characteristic
230	#88198	C₂×C₄	1	1	yes	characteristic
231	#88194	C₂×C₄	1	1	yes	characteristic
232	#88193	C₂×C₄	1	1	yes	characteristic
233	#88193	C₂×C₄	1	1	yes	characteristic
234	#88193	C₂×C₄	1	1	yes	characteristic
235	#88193	C₂×C₄	1	1	yes	characteristic
236	#88192	C₂×C₄	1	1	yes	characteristic
237	#88192	C₂×C₄	1	1	yes	characteristic
238	#88191	C₂×C₄	1	1	yes	characteristic
239	#88191	C₂×C₄	1	1	yes	characteristic
240	#88190	C₂×C₄	1	1	yes	characteristic
241	#88189	C₂×C₄	1	1	yes	characteristic
242	#88189	C₂×C₄	1	1	yes	characteristic
243	#88184	C₂×C₄	1	1	yes	characteristic
244	#88183	C₂×C₄	1	1	yes	characteristic
245	#88183	C₂×C₄	1	1	yes	characteristic
246	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
247	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
248	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
249	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
250	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
251	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
252	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
253	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
254	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
255	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
256	#88180	C₂³	1	1	yes	characteristic
257	#88180	C₂³	1	1	yes	characteristic
258	#88178	C₂×C₄	1	1	yes	characteristic
259	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×#6099	C₂³	1	1	yes	characteristic
261	C₂×#6099	C₂³	1	1	yes	characteristic
262	C₂×#6099	C₂³	1	1	yes	characteristic
263	C₂×#6099	C₂³	1	1	yes	characteristic
264	C₂²×#1055	C₂³	1	1	yes	characteristic
265	C₂²×#1055	C₂³	1	1	yes	characteristic
266	#88161	—	4	2	no	—
267	M₁₆×D₁₃	—	4	2	no	—
268	#88155	—	4	2	no	—
269	#88155	—	4	2	no	—
270	#88155	—	4	2	no	—
271	C₂×#6094	C₂³	1	1	yes	characteristic
272	C₂×#6094	C₂³	1	1	yes	characteristic
273	C₂×#6094	C₂³	1	1	yes	characteristic
274	C₂×#6094	C₂³	1	1	yes	characteristic
275	C₂×#6094	C₂³	1	1	yes	characteristic
276	C₂×#6094	C₂³	1	1	yes	characteristic
277	C₂×#6094	C₂³	1	1	yes	characteristic
278	C₂×#6094	C₂³	1	1	yes	characteristic
279	C₂×#6094	C₂³	1	1	yes	characteristic
280	C₂×#6094	C₂³	1	1	yes	characteristic
281	C₂×C₈×D₁₃	—	4	2	no	—
282	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
292	#88152	C₂×C₄	1	1	yes	characteristic
293	#88152	C₂×C₄	1	1	yes	characteristic
294	#88152	C₂×C₄	1	1	yes	characteristic
295	#88152	C₂×C₄	1	1	yes	characteristic
296	#88152	C₂×C₄	1	1	yes	characteristic
297	#88152	C₂×C₄	1	1	yes	characteristic
298	#88151	C₂×C₄	1	1	yes	characteristic
299	#88151	C₂×C₄	1	1	yes	characteristic
300	#88150	C₂×C₄	1	1	yes	characteristic
301	#88150	C₂×C₄	1	1	yes	characteristic
302	#88150	C₂×C₄	1	1	yes	characteristic
303	#88150	C₂×C₄	1	1	yes	characteristic
304	#88150	C₂×C₄	1	1	yes	characteristic
305	#88150	C₂×C₄	1	1	yes	characteristic
306	#88149	C₂×C₄	1	1	yes	characteristic
307	#88149	C₂×C₄	1	1	yes	characteristic
308	#88148	C₂×C₄	1	1	yes	characteristic
309	#88148	C₂×C₄	1	1	yes	characteristic
310	#88148	C₂×C₄	1	1	yes	characteristic
311	#88148	C₂×C₄	1	1	yes	characteristic
312	#88148	C₂×C₄	1	1	yes	characteristic
313	#88148	C₂×C₄	1	1	yes	characteristic
314	#88147	C₂×C₄	1	1	yes	characteristic
315	#88147	C₂×C₄	1	1	yes	characteristic
316	#88146	C₂×C₄	1	1	yes	characteristic
317	#88146	C₂×C₄	1	1	yes	characteristic
318	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
319	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
320	#88144	C₂×C₄	1	1	yes	characteristic
321	#88144	C₂×C₄	1	1	yes	characteristic
322	#88143	C₂×C₄	1	1	yes	characteristic
323	#88143	C₂×C₄	1	1	yes	characteristic
324	#88143	C₂×C₄	1	1	yes	characteristic
325	#88143	C₂×C₄	1	1	yes	characteristic
326	#88143	C₂×C₄	1	1	yes	characteristic
327	#88143	C₂×C₄	1	1	yes	characteristic
328	#88142	C₂×C₄	1	1	yes	characteristic
329	#88142	C₂×C₄	1	1	yes	characteristic
330	#88141	C₂×C₄	1	1	yes	characteristic
331	#88141	C₂×C₄	1	1	yes	characteristic
332	#88140	C₂×C₄	1	1	yes	characteristic
333	#88140	C₂×C₄	1	1	yes	characteristic
334	#88139	C₂×C₄	1	1	yes	characteristic
335	#88139	C₂×C₄	1	1	yes	characteristic
336	#88139	C₂×C₄	1	1	yes	characteristic
337	#88139	C₂×C₄	1	1	yes	characteristic
338	#88139	C₂×C₄	1	1	yes	characteristic
339	#88139	C₂×C₄	1	1	yes	characteristic
340	#88138	C₂×C₄	1	1	yes	characteristic
341	#88138	C₂×C₄	1	1	yes	characteristic
342	#88138	C₂×C₄	1	1	yes	characteristic
343	#88138	C₂×C₄	1	1	yes	characteristic
344	#88138	C₂×C₄	1	1	yes	characteristic
345	#88138	C₂×C₄	1	1	yes	characteristic
346	#88137	C₂×C₄	1	1	yes	characteristic
347	#88137	C₂×C₄	1	1	yes	characteristic
348	#88137	C₂×C₄	1	1	yes	characteristic
349	#88137	C₂×C₄	1	1	yes	characteristic
350	#88137	C₂×C₄	1	1	yes	characteristic
351	#88137	C₂×C₄	1	1	yes	characteristic
352	#88136	C₂×C₄	1	1	yes	characteristic
353	#88136	C₂×C₄	1	1	yes	characteristic
354	#88135	C₂×C₄	1	1	yes	characteristic
355	#88135	C₂×C₄	1	1	yes	characteristic
356	#88135	C₂×C₄	1	1	yes	characteristic
357	#88135	C₂×C₄	1	1	yes	characteristic
358	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
359	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
360	#88133	C₂×C₄	1	1	yes	characteristic
361	#88133	C₂×C₄	1	1	yes	characteristic
362	#88133	C₂×C₄	1	1	yes	characteristic
363	#88133	C₂×C₄	1	1	yes	characteristic
364	#88133	C₂×C₄	1	1	yes	characteristic
365	#88133	C₂×C₄	1	1	yes	characteristic
366	#88132	C₂×C₄	1	1	yes	characteristic
367	#88132	C₂×C₄	1	1	yes	characteristic
368	#88132	C₂×C₄	1	1	yes	characteristic
369	#88132	C₂×C₄	1	1	yes	characteristic
370	#88131	C₂×C₄	1	1	yes	characteristic
371	#88131	C₂×C₄	1	1	yes	characteristic
372	#88130	C₂×C₄	1	1	yes	characteristic
373	#88130	C₂×C₄	1	1	yes	characteristic
374	#88129	C₂×C₄	1	1	yes	characteristic
375	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
376	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
377	C₄×D₅₂	C₂³	1	1	yes	characteristic
378	C₄×D₅₂	C₂³	1	1	yes	characteristic
379	C₄×D₅₂	C₂³	1	1	yes	characteristic
380	#88126	C₂³	1	1	yes	characteristic
381	#88126	C₂³	1	1	yes	characteristic
382	#88126	C₂³	1	1	yes	characteristic
383	#88126	C₂³	1	1	yes	characteristic
384	#88126	C₂³	1	1	yes	characteristic
385	#88126	C₂³	1	1	yes	characteristic
386	C₄²×D₁₃	C₂³	1	1	yes	characteristic
387	C₄²×D₁₃	C₂³	1	1	yes	characteristic
388	C₄²×D₁₃	C₂³	1	1	yes	characteristic
389	C₄²×D₁₃	C₂³	1	1	yes	characteristic
390	#88124	C₂×C₄	1	1	yes	characteristic
391	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
392	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
393	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
394	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
395	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
396	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
407	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
408	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
409	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
412	C₁₃×#97	C₂³	1	1	yes	characteristic
413	C₁₃×#97	C₂³	1	1	yes	characteristic
414	C₁₃×#97	C₂³	1	1	yes	characteristic
415	C₁₃×#97	C₂³	1	1	yes	characteristic
416	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
417	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
418	C₂²⋊#1055	C₂³	1	1	yes	characteristic
419	C₂²⋊#1055	C₂³	1	1	yes	characteristic
420	C₂²⋊#1055	C₂³	1	1	yes	characteristic
421	C₂²⋊#1055	C₂³	1	1	yes	characteristic
422	C₂²⋊#1055	C₂³	1	1	yes	characteristic
423	C₂²⋊#1055	C₂³	1	1	yes	characteristic
424	#88060	C₂³	1	1	yes	characteristic
425	#88060	C₂³	1	1	yes	characteristic
426	#88060	C₂³	1	1	yes	characteristic
427	#88060	C₂³	1	1	yes	characteristic
428	#88060	C₂³	1	1	yes	characteristic
429	#88060	C₂³	1	1	yes	characteristic
430	#88060	C₂³	1	1	yes	characteristic
431	#88060	C₂³	1	1	yes	characteristic
432	#88060	C₂³	1	1	yes	characteristic
433	#88060	C₂³	1	1	yes	characteristic
434	#88060	C₂³	1	1	yes	characteristic
435	#88060	C₂³	1	1	yes	characteristic
436	#88055	C₂³	1	1	yes	characteristic
437	#88055	C₂³	1	1	yes	characteristic
438	#88055	C₂³	1	1	yes	characteristic
439	#88055	C₂³	1	1	yes	characteristic
440	#88055	C₂³	1	1	yes	characteristic
441	#88055	C₂³	1	1	yes	characteristic
442	#88054	C₂³	1	1	yes	characteristic
443	#88054	C₂³	1	1	yes	characteristic
444	#88054	C₂³	1	1	yes	characteristic
445	#88054	C₂³	1	1	yes	characteristic
446	#88054	C₂³	1	1	yes	characteristic
447	#88054	C₂³	1	1	yes	characteristic
448	#88054	C₂³	1	1	yes	characteristic
449	#88054	C₂³	1	1	yes	characteristic
450	#88054	C₂³	1	1	yes	characteristic
451	#88054	C₂³	1	1	yes	characteristic
452	#88054	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
465	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
466	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	C₄⋊#1055	C₂³	1	1	yes	characteristic
472	C₄⋊#1055	C₂³	1	1	yes	characteristic
473	C₄⋊#1055	C₂³	1	1	yes	characteristic
474	C₄⋊#1055	C₂³	1	1	yes	characteristic
475	C₄⋊#1055	C₂³	1	1	yes	characteristic
476	C₄⋊#1055	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	C₄×#1055	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#60267	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
506	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
507	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
508	#6127	—	2	2	no	—
509	#6127	—	2	2	no	—
510	#6127	—	2	2	no	—
511	#6127	—	2	2	no	—
512	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
513	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
514	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
515	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
516	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₄×D₁₃	—	2	2	no	—
518	C₂×C₄×D₁₃	—	2	2	no	—
519	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
534	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
535	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
536	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
537	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
538	C₁₃×M₁₆	—	4	1	no	—
539	C₁₃×M₁₆	—	4	1	no	—
540	C₂×C₈×C₁₃	—	4	1	no	—
541	C₂×C₈×C₁₃	—	4	1	no	—
542	C₂×C₈×C₁₃	—	4	1	no	—
543	C₂×C₈×C₁₃	—	4	1	no	—
544	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
573	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
574	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
582	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
585	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
586	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
588	#6103	C₂²×C₄	1	1	yes	characteristic
589	#6103	C₂²×C₄	1	1	yes	characteristic
590	#6103	C₂²×C₄	1	1	yes	characteristic
591	#6103	C₂²×C₄	1	1	yes	characteristic
592	#6103	C₂²×C₄	1	1	yes	characteristic
593	#6103	C₂²×C₄	1	1	yes	characteristic
594	#6103	C₂²×C₄	1	1	yes	characteristic
595	#6103	C₂²×C₄	1	1	yes	characteristic
596	#6103	C₂²×C₄	1	1	yes	characteristic
597	#6103	C₂²×C₄	1	1	yes	characteristic
598	#6103	C₂²×C₄	1	1	yes	characteristic
599	#6103	C₂²×C₄	1	1	yes	characteristic
600	#6103	C₂²×C₄	1	1	yes	characteristic
601	#6103	C₂²×C₄	1	1	yes	characteristic
602	#6103	C₂²×C₄	1	1	yes	characteristic
603	#6103	C₂²×C₄	1	1	yes	characteristic
604	#6103	C₂²×C₄	1	1	yes	characteristic
605	#6103	C₂²×C₄	1	1	yes	characteristic
606	#6103	C₂²×C₄	1	1	yes	characteristic
607	#6103	C₂²×C₄	1	1	yes	characteristic
608	#6103	C₂²×C₄	1	1	yes	characteristic
609	#6103	C₂²×C₄	1	1	yes	characteristic
610	#6103	C₂²×C₄	1	1	yes	characteristic
611	#6103	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
622	#6101	C₂²×C₄	1	1	yes	characteristic
623	#6101	C₂²×C₄	1	1	yes	characteristic
624	#6101	C₂²×C₄	1	1	yes	characteristic
625	#6101	C₂²×C₄	1	1	yes	characteristic
626	#6101	C₂²×C₄	1	1	yes	characteristic
627	#6101	C₂²×C₄	1	1	yes	characteristic
628	#6101	C₂²×C₄	1	1	yes	characteristic
629	#6101	C₂²×C₄	1	1	yes	characteristic
630	#6101	C₂²×C₄	1	1	yes	characteristic
631	#6101	C₂²×C₄	1	1	yes	characteristic
632	#6101	C₂²×C₄	1	1	yes	characteristic
633	#6101	C₂²×C₄	1	1	yes	characteristic
634	#6101	C₂²×C₄	1	1	yes	characteristic
635	#6101	C₂²×C₄	1	1	yes	characteristic
636	#6101	C₂²×C₄	1	1	yes	characteristic
637	#6101	C₂²×C₄	1	1	yes	characteristic
638	#6101	C₂²×C₄	1	1	yes	characteristic
639	#6101	C₂²×C₄	1	1	yes	characteristic
640	#6101	C₂²×C₄	1	1	yes	characteristic
641	#6101	C₂²×C₄	1	1	yes	characteristic
642	#6101	C₂²×C₄	1	1	yes	characteristic
643	#6101	C₂²×C₄	1	1	yes	characteristic
644	#6101	C₂²×C₄	1	1	yes	characteristic
645	#6101	C₂²×C₄	1	1	yes	characteristic
646	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
647	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
648	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
649	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
650	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
660	#6099	—	4	1	no	—
661	#6099	—	4	1	no	—
662	#6099	—	4	1	no	—
663	#6099	—	4	1	no	—
664	C₂×#1055	—	4	1	no	—
665	C₂×#1055	—	4	1	no	—
666	C₂×#1055	C₂⁴	1	1	yes	characteristic
667	C₂×#1055	C₂⁴	1	1	yes	characteristic
668	C₂×#1055	C₂⁴	1	1	yes	characteristic
669	C₂×#1055	C₂⁴	1	1	yes	characteristic
670	C₂×#1055	C₂⁴	1	1	yes	characteristic
671	C₂×#1055	C₂⁴	1	1	yes	characteristic
672	C₂×#1055	C₂⁴	1	1	yes	characteristic
673	C₂×#1055	C₂⁴	1	1	yes	characteristic
674	#6094	—	2	2	no	—
675	#6094	—	2	2	no	—
676	#6094	—	2	2	no	—
677	#6094	—	2	2	no	—
678	#6094	—	4	1	no	—
679	#6094	—	4	1	no	—
680	#6094	—	4	1	no	—
681	#6094	—	4	1	no	—
682	#6094	—	4	1	no	—
683	#6094	—	4	1	no	—
684	C₈×D₁₃	—	2	2	no	—
685	C₈×D₁₃	—	2	2	no	—
686	C₈×D₁₃	—	2	2	no	—
687	C₈×D₁₃	—	2	2	no	—
688	C₈×D₁₃	—	4	1	no	—
689	C₈×D₁₃	—	4	1	no	—
690	C₈×D₁₃	—	4	1	no	—
691	C₈×D₁₃	—	4	1	no	—
692	C₈×D₁₃	—	4	1	no	—
693	C₈×D₁₃	—	4	1	no	—
694	#3455	—	13	1	no	—
695	#2995	—	13	1	no	—
696	#2995	—	13	1	no	—
697	#2995	—	13	1	no	—
698	#2995	—	13	1	no	—
699	#2994	—	13	1	no	—
700	#2994	—	13	1	no	—
701	#2994	—	13	1	no	—
702	#2994	—	13	1	no	—
703	#2993	—	13	1	no	—
704	#2993	—	13	1	no	—
705	#2993	—	13	1	no	—
706	#2993	—	13	1	no	—
707	#2992	—	13	1	no	—
708	#2992	—	13	1	no	—
709	#2992	—	13	1	no	—
710	#2992	D₁₃	1	1	yes	characteristic, complemented
711	#2962	—	13	1	no	—
712	#2962	—	13	1	no	—
713	#2935	—	13	1	no	—
714	#2935	—	13	1	no	—
715	#2930	—	13	1	no	—
716	#2930	—	13	1	no	—
717	#2929	—	13	1	no	—
718	#2929	—	13	1	no	—
719	#2925	—	13	1	no	—
720	#2925	—	13	1	no	—
721	#2921	—	13	1	no	—
722	#2906	—	13	1	no	—
723	#2906	—	13	1	no	—
724	C₂×#424	—	13	1	no	—
725	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
726	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
727	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
728	C₂²×D₁₃	—	2	2	no	—
729	C₂²×D₁₃	—	4	1	no	—
730	C₂²×D₁₃	—	4	1	no	—
731	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
732	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
733	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
734	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
735	Q₈×C₁₃	—	4	1	no	—
736	D₄×C₁₃	—	4	1	no	—
737	D₄×C₁₃	—	4	1	no	—
738	D₄×C₁₃	—	4	1	no	—
739	C₂×C₄×C₁₃	—	2	1	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	4	1	no	—
746	C₂×C₄×C₁₃	—	4	1	no	—
747	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
748	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
749	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
759	C₂²⋊D₁₃	—	2	2	no	—
760	C₂²⋊D₁₃	—	2	2	no	—
761	C₂²⋊D₁₃	—	2	2	no	—
762	C₂²⋊D₁₃	—	2	2	no	—
763	C₂²⋊D₁₃	—	4	1	no	—
764	C₂²⋊D₁₃	—	4	1	no	—
765	C₂²⋊D₁₃	—	4	1	no	—
766	C₂²⋊D₁₃	—	4	1	no	—
767	C₂²⋊D₁₃	—	4	1	no	—
768	C₂²⋊D₁₃	—	4	1	no	—
769	C₂×Dic₁₃	—	2	2	no	—
770	C₂×Dic₁₃	—	4	1	no	—
771	C₂×Dic₁₃	—	4	1	no	—
772	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
773	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
774	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
775	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
776	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
777	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
778	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
779	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
781	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
782	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
784	D₅₂	—	2	2	no	—
785	D₅₂	—	2	2	no	—
786	D₅₂	—	4	1	no	—
787	D₅₂	—	4	1	no	—
788	D₅₂	—	4	1	no	—
789	C₄×D₁₃	—	2	2	no	—
790	C₄×D₁₃	—	2	1	no	—
791	C₄×D₁₃	—	2	1	no	—
792	C₄×D₁₃	—	2	1	no	—
793	C₄×D₁₃	—	2	1	no	—
794	C₄×D₁₃	—	2	1	no	—
795	C₄×D₁₃	—	2	1	no	—
796	C₄×D₁₃	—	2	2	no	—
797	C₄×D₁₃	—	4	1	no	—
798	C₄×D₁₃	—	4	1	no	—
799	C₄×D₁₃	—	4	1	no	—
800	C₄×D₁₃	—	4	1	no	—
801	C₄×D₁₃	—	4	1	no	—
802	C₄×D₁₃	—	4	1	no	—
803	C₄×D₁₃	—	4	1	no	—
804	C₄×D₁₃	—	4	1	no	—
805	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
806	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
807	Dic₂₆	—	2	2	no	—
808	Dic₂₆	—	2	2	no	—
809	Dic₂₆	—	4	1	no	—
810	Dic₂₆	—	4	1	no	—
811	Dic₂₆	—	4	1	no	—
812	C₈×C₁₃	—	2	1	no	—
813	C₈×C₁₃	—	2	1	no	—
814	C₈×C₁₃	—	2	1	no	—
815	C₈×C₁₃	—	2	1	no	—
816	C₈×C₁₃	—	2	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	—	2	1	no	—
820	#1055	—	2	1	no	—
821	#1055	—	2	1	no	—
822	#1055	—	2	1	no	—
823	#1055	—	2	1	no	—
824	#1055	—	2	1	no	—
825	#1055	—	2	1	no	—
826	#1055	—	2	1	no	—
827	#1055	—	2	1	no	—
828	C₂×#131	—	13	1	no	—
829	C₂×#131	—	13	1	no	—
830	C₂×#131	—	13	1	no	—
831	C₂×#131	—	13	1	no	—
832	C₂²×M₁₆	—	13	1	no	—
833	C₂³×C₈	—	13	1	no	—
834	#542	—	13	1	no	—
835	#542	—	13	1	no	—
836	#542	—	13	1	no	—
837	#542	—	13	1	no	—
838	#541	—	13	1	no	—
839	#541	—	13	1	no	—
840	#540	—	13	1	no	—
841	#540	—	13	1	no	—
842	#539	—	13	1	no	—
843	#539	—	13	1	no	—
844	#539	—	13	1	no	—
845	#539	—	13	1	no	—
846	#538	—	13	1	no	—
847	#538	—	13	1	no	—
848	#538	—	13	1	no	—
849	#538	—	13	1	no	—
850	#533	—	13	1	no	—
851	#532	—	13	1	no	—
852	#529	—	13	1	no	—
853	#529	—	13	1	no	—
854	#529	—	13	1	no	—
855	#529	—	13	1	no	—
856	#529	—	13	1	no	—
857	#529	—	13	1	no	—
858	#529	—	13	1	no	—
859	#529	C₂×D₁₃	1	1	yes	characteristic
860	#525	—	13	1	no	—
861	#525	—	13	1	no	—
862	C₄×#41	—	13	1	no	—
863	C₄×#41	—	13	1	no	—
864	C₂×#117	—	13	1	no	—
865	#446	—	13	1	no	—
866	#446	—	13	1	no	—
867	#446	—	13	1	no	—
868	#446	—	13	1	no	—
869	#446	—	13	1	no	—
870	#446	—	13	1	no	—
871	#446	—	13	1	no	—
872	#446	—	13	1	no	—
873	#446	—	13	1	no	—
874	#446	—	13	1	no	—
875	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
876	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
877	C₈×Q₈	—	13	1	no	—
878	C₈×Q₈	—	13	1	no	—
879	C₈×Q₈	—	13	1	no	—
880	C₈×Q₈	—	13	1	no	—
881	#436	—	13	1	no	—
882	#436	—	13	1	no	—
883	#436	—	13	1	no	—
884	#436	—	13	1	no	—
885	#436	—	13	1	no	—
886	#436	—	13	1	no	—
887	#436	—	13	1	no	—
888	#436	—	13	1	no	—
889	#436	—	13	1	no	—
890	#436	—	13	1	no	—
891	#436	—	13	1	no	—
892	#436	—	13	1	no	—
893	#435	—	13	1	no	—
894	#435	—	13	1	no	—
895	#435	—	13	1	no	—
896	#435	—	13	1	no	—
897	#435	—	13	1	no	—
898	#435	—	13	1	no	—
899	#435	—	13	1	no	—
900	#435	—	13	1	no	—
901	#435	—	13	1	no	—
902	#435	—	13	1	no	—
903	#435	—	13	1	no	—
904	#435	—	13	1	no	—
905	#435	—	13	1	no	—
906	#435	—	13	1	no	—
907	#435	—	13	1	no	—
908	#435	—	13	1	no	—
909	#435	—	13	1	no	—
910	#435	—	13	1	no	—
911	#435	—	13	1	no	—
912	#435	—	13	1	no	—
913	#435	C₂×D₁₃	1	1	yes	characteristic
914	#435	C₂×D₁₃	1	1	yes	characteristic
915	#435	C₂×D₁₃	1	1	yes	characteristic
916	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
917	C₈×D₄	—	13	1	no	—
918	C₈×D₄	—	13	1	no	—
919	C₈×D₄	—	13	1	no	—
920	C₈×D₄	—	13	1	no	—
921	C₈×D₄	—	13	1	no	—
922	C₈×D₄	—	13	1	no	—
923	C₈×D₄	—	13	1	no	—
924	C₈×D₄	—	13	1	no	—
925	C₈×D₄	—	13	1	no	—
926	C₈×D₄	—	13	1	no	—
927	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
928	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#433	—	13	1	no	—
930	#433	—	13	1	no	—
931	#433	—	13	1	no	—
932	#433	—	13	1	no	—
933	#433	—	13	1	no	—
934	#433	—	13	1	no	—
935	#433	—	13	1	no	—
936	#433	—	13	1	no	—
937	#433	—	13	1	no	—
938	#433	—	13	1	no	—
939	#433	—	13	1	no	—
940	#433	—	13	1	no	—
941	#433	—	13	1	no	—
942	#433	—	13	1	no	—
943	#433	C₂×D₁₃	1	1	yes	characteristic
944	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#432	—	13	1	no	—
946	#432	—	13	1	no	—
947	#432	—	13	1	no	—
948	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#431	—	13	1	no	—
950	#431	—	13	1	no	—
951	#431	—	13	1	no	—
952	#431	—	13	1	no	—
953	#424	—	13	1	no	—
954	#424	—	13	1	no	—
955	#424	—	13	1	no	—
956	#424	—	13	1	no	—
957	#424	—	13	1	no	—
958	#424	—	13	1	no	—
959	#424	—	13	1	no	—
960	#424	—	13	1	no	—
961	#424	—	13	1	no	—
962	#424	—	13	1	no	—
963	#424	—	13	1	no	—
964	#424	—	13	1	no	—
965	#424	—	13	1	no	—
966	#424	—	13	1	no	—
967	#424	—	13	1	no	—
968	#424	—	13	1	no	—
969	#424	—	13	1	no	—
970	#424	—	13	1	no	—
971	#424	C₂×D₁₃	1	1	yes	characteristic
972	#424	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#423	—	13	1	no	—
974	#423	—	13	1	no	—
975	#423	—	13	1	no	—
976	#423	—	13	1	no	—
977	#423	—	13	1	no	—
978	#423	—	13	1	no	—
979	C₂×C₄⋊C₈	—	13	1	no	—
980	C₂×C₄⋊C₈	—	13	1	no	—
981	C₂×C₄⋊C₈	—	13	1	no	—
982	C₂×C₄⋊C₈	—	13	1	no	—
983	C₂×C₄⋊C₈	—	13	1	no	—
984	C₂×C₄⋊C₈	—	13	1	no	—
985	C₂×C₄⋊C₈	—	13	1	no	—
986	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#408	—	13	1	no	—
988	#408	—	13	1	no	—
989	#408	—	13	1	no	—
990	#408	—	13	1	no	—
991	#407	—	13	1	no	—
992	#407	—	13	1	no	—
993	#405	—	13	1	no	—
994	#405	—	13	1	no	—
995	#405	—	13	1	no	—
996	#405	—	13	1	no	—
997	C₄×M₁₆	—	13	1	no	—
998	C₄×M₁₆	—	13	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1009	C₂×D₁₃	—	2	1	no	—
1010	C₂×D₁₃	—	2	1	no	—
1011	C₂×D₁₃	—	2	1	no	—
1012	C₂×D₁₃	—	2	1	no	—
1013	C₂×D₁₃	—	2	1	no	—
1014	C₂×D₁₃	—	2	1	no	—
1015	C₂×D₁₃	—	2	1	no	—
1016	C₂×D₁₃	—	2	1	no	—
1017	C₂×D₁₃	—	2	1	no	—
1018	C₂×D₁₃	—	2	1	no	—
1019	C₂×D₁₃	—	2	1	no	—
1020	C₂×D₁₃	—	4	4	no	—
1021	C₂×D₁₃	#520	1	2	yes	—
1022	C₄×C₁₃	—	2	1	no	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1035	Dic₁₃	—	2	1	no	—
1036	Dic₁₃	—	2	1	no	—
1037	Dic₁₃	—	2	1	no	—
1038	Dic₁₃	—	2	1	no	—
1039	Dic₁₃	—	2	1	no	—
1040	Dic₁₃	—	2	1	no	—
1041	Dic₁₃	—	2	1	no	—
1042	Dic₁₃	—	2	1	no	—
1043	Dic₁₃	—	2	1	no	—
1044	Dic₁₃	—	2	1	no	—
1045	Dic₁₃	—	2	1	no	—
1046	Dic₁₃	#520	1	2	yes	—
1047	C₂×#41	—	13	1	no	—
1048	C₂×#41	—	13	1	no	—
1049	C₂³×C₄	—	13	1	no	—
1050	#131	—	52	2	no	—
1051	#131	—	52	2	no	—
1052	#131	—	52	2	no	—
1053	#131	—	52	2	no	—
1054	C₂×M₁₆	—	13	1	no	—
1055	C₂×M₁₆	—	13	1	no	—
1056	C₂×M₁₆	—	13	1	no	—
1057	C₂×M₁₆	—	13	1	no	—
1058	C₂×M₁₆	—	13	1	no	—
1059	C₂×M₁₆	—	13	1	no	—
1060	C₂×M₁₆	—	13	1	no	—
1061	C₂×M₁₆	—	13	1	no	—
1062	C₂×M₁₆	—	13	1	no	—
1063	C₂×M₁₆	—	13	1	no	—
1064	C₂×M₁₆	—	13	1	no	—
1065	C₂×M₁₆	—	13	1	no	—
1066	C₂×M₁₆	—	13	1	no	—
1067	C₂×M₁₆	—	13	1	no	—
1068	C₂×M₁₆	—	52	2	no	—
1069	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1070	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1071	C₂²×C₈	—	13	1	no	—
1072	C₂²×C₈	—	13	1	no	—
1073	C₂²×C₈	—	13	1	no	—
1074	C₂²×C₈	—	13	1	no	—
1075	C₂²×C₈	—	13	1	no	—
1076	C₂²×C₈	—	13	1	no	—
1077	C₂²×C₈	—	13	1	no	—
1078	C₂²×C₈	—	13	1	no	—
1079	C₂²×C₈	—	13	1	no	—
1080	C₂²×C₈	—	13	1	no	—
1081	C₂²×C₈	—	13	1	no	—
1082	C₂²×C₈	—	13	1	no	—
1083	C₂²×C₈	—	52	2	no	—
1084	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1085	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1086	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1087	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1088	C₄⋊Q₈	—	13	1	no	—
1089	C₄⋊Q₈	—	13	1	no	—
1090	C₄⋊Q₈	—	13	1	no	—
1091	#127	—	13	1	no	—
1092	#126	—	13	1	no	—
1093	#126	—	13	1	no	—
1094	#126	—	13	1	no	—
1095	#126	—	13	1	no	—
1096	#126	—	13	1	no	—
1097	#126	—	13	1	no	—
1098	#126	—	13	1	no	—
1099	#126	—	13	1	no	—
1100	#126	—	13	1	no	—
1101	#126	—	13	1	no	—
1102	#126	—	13	1	no	—
1103	#126	—	13	1	no	—
1104	#126	—	13	1	no	—
1105	#126	—	13	1	no	—
1106	#126	C₄×D₁₃	1	1	yes	characteristic
1107	#126	C₄×D₁₃	1	1	yes	characteristic
1108	#125	—	13	1	no	—
1109	#125	—	13	1	no	—
1110	#125	—	13	1	no	—
1111	#125	—	13	1	no	—
1112	#125	—	13	1	no	—
1113	#125	—	13	1	no	—
1114	#125	—	13	1	no	—
1115	#125	—	13	1	no	—
1116	#125	—	13	1	no	—
1117	#125	C₄×D₁₃	1	1	yes	characteristic
1118	#124	—	13	1	no	—
1119	#124	—	13	1	no	—
1120	#124	—	13	1	no	—
1121	#124	—	13	1	no	—
1122	#124	—	13	1	no	—
1123	#124	—	13	1	no	—
1124	#124	—	13	1	no	—
1125	#124	—	13	1	no	—
1126	#124	—	13	1	no	—
1127	#124	C₄×D₁₃	1	1	yes	characteristic
1128	#123	—	13	1	no	—
1129	#123	—	13	1	no	—
1130	#123	—	13	1	no	—
1131	#123	—	13	1	no	—
1132	#123	—	13	1	no	—
1133	#123	—	13	1	no	—
1134	#123	—	13	1	no	—
1135	#123	—	13	1	no	—
1136	#123	—	13	1	no	—
1137	#123	—	13	1	no	—
1138	#123	—	13	1	no	—
1139	#123	—	13	1	no	—
1140	#123	—	13	1	no	—
1141	#123	—	13	1	no	—
1142	#123	—	13	1	no	—
1143	#123	—	13	1	no	—
1144	#123	—	13	1	no	—
1145	#123	—	13	1	no	—
1146	#123	C₄×D₁₃	1	1	yes	characteristic
1147	#123	C₄×D₁₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	—	13	1	no	—
1149	C₂²⋊Q₈	—	13	1	no	—
1150	C₂²⋊Q₈	—	13	1	no	—
1151	C₂²⋊Q₈	—	13	1	no	—
1152	C₂²⋊Q₈	—	13	1	no	—
1153	C₂²⋊Q₈	—	13	1	no	—
1154	C₂²⋊Q₈	—	13	1	no	—
1155	C₂²⋊Q₈	—	13	1	no	—
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⋊Q₈	—	13	1	no	—
1162	C₂²⋊Q₈	—	13	1	no	—
1163	C₂²⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
1164	#121	—	13	1	no	—
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	—	13	1	no	—
1168	#121	—	13	1	no	—
1169	#121	—	13	1	no	—
1170	#121	—	13	1	no	—
1171	#121	—	13	1	no	—
1172	#121	—	13	1	no	—
1173	#121	—	13	1	no	—
1174	#121	—	13	1	no	—
1175	#121	—	13	1	no	—
1176	#121	—	13	1	no	—
1177	#121	—	13	1	no	—
1178	#121	—	13	1	no	—
1179	#121	C₄×D₁₃	1	1	yes	characteristic
1180	#120	—	13	1	no	—
1181	#120	—	13	1	no	—
1182	#120	—	13	1	no	—
1183	#120	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×Q₈	—	13	1	no	—
1186	C₄×Q₈	—	13	1	no	—
1187	C₄×Q₈	—	13	1	no	—
1188	C₄×Q₈	—	13	1	no	—
1189	C₄×Q₈	—	13	1	no	—
1190	C₄×Q₈	—	13	1	no	—
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	13	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1214	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1215	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1216	#117	—	13	1	no	—
1217	#117	—	13	1	no	—
1218	#117	—	13	1	no	—
1219	#117	—	13	1	no	—
1220	#117	—	13	1	no	—
1221	#117	—	13	1	no	—
1222	#117	—	13	1	no	—
1223	#117	—	13	1	no	—
1224	#117	—	13	1	no	—
1225	#117	—	13	1	no	—
1226	#117	—	13	1	no	—
1227	#117	—	13	1	no	—
1228	#117	C₂²×D₁₃	1	1	yes	characteristic
1229	#117	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	—	13	1	no	—
1231	C₂×C₄⋊C₄	—	13	1	no	—
1232	C₂×C₂²⋊C₄	—	13	1	no	—
1233	C₂×C₂²⋊C₄	—	13	1	no	—
1234	C₂×C₄²	—	13	1	no	—
1235	C₂×C₄²	—	13	1	no	—
1236	C₂×C₄²	—	13	1	no	—
1237	C₂×C₄²	—	13	1	no	—
1238	C₂×C₄²	—	13	1	no	—
1239	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1240	C₄⋊C₈	—	13	1	no	—
1241	C₄⋊C₈	—	13	1	no	—
1242	C₄⋊C₈	—	13	1	no	—
1243	C₄⋊C₈	—	13	1	no	—
1244	C₄⋊C₈	—	13	1	no	—
1245	C₄⋊C₈	—	13	1	no	—
1246	C₄⋊C₈	—	13	1	no	—
1247	C₄⋊C₈	—	13	1	no	—
1248	C₄⋊C₈	—	13	1	no	—
1249	C₄⋊C₈	—	13	1	no	—
1250	C₄⋊C₈	—	13	1	no	—
1251	C₄⋊C₈	—	13	1	no	—
1252	C₄⋊C₈	—	13	1	no	—
1253	C₄⋊C₈	—	13	1	no	—
1254	C₄⋊C₈	—	13	1	no	—
1255	C₄⋊C₈	—	13	1	no	—
1256	C₄⋊C₈	—	13	1	no	—
1257	C₄⋊C₈	—	13	1	no	—
1258	C₄⋊C₈	—	13	1	no	—
1259	C₄⋊C₈	—	13	1	no	—
1260	C₄⋊C₈	—	13	1	no	—
1261	C₄⋊C₈	—	13	1	no	—
1262	C₄⋊C₈	—	13	1	no	—
1263	C₄⋊C₈	—	13	1	no	—
1264	C₄⋊C₈	—	13	1	no	—
1265	C₄⋊C₈	—	13	1	no	—
1266	C₄⋊C₈	—	13	1	no	—
1267	C₄⋊C₈	—	13	1	no	—
1268	C₄⋊C₈	—	13	1	no	—
1269	C₄⋊C₈	—	13	1	no	—
1270	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1271	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1272	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1273	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1277	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1278	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1279	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1280	C₂²⋊C₈	—	13	1	no	—
1281	C₂²⋊C₈	—	13	1	no	—
1282	C₂²⋊C₈	—	13	1	no	—
1283	C₂²⋊C₈	—	13	1	no	—
1284	C₂²⋊C₈	—	13	1	no	—
1285	C₂²⋊C₈	—	13	1	no	—
1286	C₂²⋊C₈	—	13	1	no	—
1287	C₂²⋊C₈	—	13	1	no	—
1288	C₂²⋊C₈	—	13	1	no	—
1289	C₂²⋊C₈	—	13	1	no	—
1290	C₂²⋊C₈	—	13	1	no	—
1291	C₂²⋊C₈	—	13	1	no	—
1292	C₂²⋊C₈	—	13	1	no	—
1293	C₂²⋊C₈	—	13	1	no	—
1294	C₂²⋊C₈	—	13	1	no	—
1295	C₂²⋊C₈	—	13	1	no	—
1296	C₂²⋊C₈	—	13	1	no	—
1297	C₂²⋊C₈	—	13	1	no	—
1298	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1304	#97	—	13	1	no	—
1305	#97	—	13	1	no	—
1306	#97	—	13	1	no	—
1307	#97	—	13	1	no	—
1308	#97	—	13	1	no	—
1309	#97	—	13	1	no	—
1310	#97	—	13	1	no	—
1311	#97	—	13	1	no	—
1312	#97	C₂²×D₁₃	1	1	yes	characteristic
1313	#97	C₂²×D₁₃	1	1	yes	characteristic
1314	#97	C₂²×D₁₃	1	1	yes	characteristic
1315	#97	C₂²×D₁₃	1	1	yes	characteristic
1316	C₄×C₈	—	13	1	no	—
1317	C₄×C₈	—	13	1	no	—
1318	C₄×C₈	—	13	1	no	—
1319	C₄×C₈	—	13	1	no	—
1320	C₄×C₈	—	13	1	no	—
1321	C₄×C₈	—	13	1	no	—
1322	C₄×C₈	—	13	1	no	—
1323	C₄×C₈	—	13	1	no	—
1324	C₄×C₈	—	13	1	no	—
1325	C₄×C₈	—	13	1	no	—
1326	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1327	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1328	C₂×C₁₃	—	4	1	no	—
1329	C₂×C₁₃	—	4	1	no	—
1330	C₂×C₁₃	—	4	1	no	—
1331	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1332	C₂×C₁₃	#3573	1	1	yes	characteristic
1333	C₂×C₁₃	#3573	1	1	yes	characteristic
1334	D₁₃	—	2	2	no	—
1335	D₁₃	—	4	1	no	—
1336	D₁₃	—	4	1	no	—
1337	D₁₃	—	4	1	no	—
1338	C₂⁴	—	13	1	no	—
1339	#41	—	26	2	no	—
1340	#41	—	26	2	no	—
1341	#41	—	26	2	no	—
1342	#41	—	26	2	no	—
1343	C₂×Q₈	—	13	1	no	—
1344	C₂×Q₈	—	13	1	no	—
1345	C₂×Q₈	—	13	1	no	—
1346	C₂×Q₈	—	13	1	no	—
1347	C₂×Q₈	—	13	1	no	—
1348	C₂×Q₈	C₂×C₄×D₁₃	1	1	yes	characteristic
1349	C₂×D₄	—	13	1	no	—
1350	C₂×D₄	—	13	1	no	—
1351	C₂×D₄	—	13	1	no	—
1352	C₂×D₄	—	13	1	no	—
1353	C₂×D₄	—	13	1	no	—
1354	C₂×D₄	—	13	1	no	—
1355	C₂×D₄	—	13	1	no	—
1356	C₂×D₄	—	13	1	no	—
1357	C₂×D₄	—	13	1	no	—
1358	C₂×D₄	—	13	1	no	—
1359	C₂×D₄	—	13	1	no	—
1360	C₂×D₄	—	13	1	no	—
1361	C₂×D₄	—	13	1	no	—
1362	C₂×D₄	—	13	1	no	—
1363	C₂×D₄	—	13	1	no	—
1364	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1365	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1366	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1367	C₂²×C₄	—	13	1	no	—
1368	C₂²×C₄	—	13	1	no	—
1369	C₂²×C₄	—	13	1	no	—
1370	C₂²×C₄	—	13	1	no	—
1371	C₂²×C₄	—	13	1	no	—
1372	C₂²×C₄	—	13	1	no	—
1373	C₂²×C₄	—	13	1	no	—
1374	C₂²×C₄	—	13	1	no	—
1375	C₂²×C₄	—	13	1	no	—
1376	C₂²×C₄	—	13	1	no	—
1377	C₂²×C₄	—	13	1	no	—
1378	C₂²×C₄	—	13	1	no	—
1379	C₂²×C₄	—	13	1	no	—
1380	C₂²×C₄	—	13	1	no	—
1381	C₂²×C₄	—	13	1	no	—
1382	C₂²×C₄	—	13	1	no	—
1383	C₂²×C₄	—	13	1	no	—
1384	C₂²×C₄	—	26	2	no	—
1385	C₂²×C₄	—	26	2	no	—
1386	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1387	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1388	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1391	M₁₆	—	4	1	no	—
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	26	2	no	—
1394	M₁₆	—	26	2	no	—
1395	M₁₆	—	26	2	no	—
1396	M₁₆	—	26	2	no	—
1397	M₁₆	—	52	1	no	—
1398	M₁₆	—	52	1	no	—
1399	M₁₆	—	52	1	no	—
1400	M₁₆	—	52	1	no	—
1401	M₁₆	—	52	1	no	—
1402	M₁₆	—	52	1	no	—
1403	M₁₆	—	52	1	no	—
1404	M₁₆	—	52	1	no	—
1405	M₁₆	—	52	1	no	—
1406	M₁₆	—	52	1	no	—
1407	C₂×C₈	—	4	1	no	—
1408	C₂×C₈	—	4	1	no	—
1409	C₂×C₈	—	4	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	13	1	no	—
1412	C₂×C₈	—	13	1	no	—
1413	C₂×C₈	—	13	1	no	—
1414	C₂×C₈	—	13	1	no	—
1415	C₂×C₈	—	13	1	no	—
1416	C₂×C₈	—	13	1	no	—
1417	C₂×C₈	—	13	1	no	—
1418	C₂×C₈	—	13	1	no	—
1419	C₂×C₈	—	26	2	no	—
1420	C₂×C₈	—	26	2	no	—
1421	C₂×C₈	—	26	2	no	—
1422	C₂×C₈	—	26	2	no	—
1423	C₂×C₈	—	52	1	no	—
1424	C₂×C₈	—	52	1	no	—
1425	C₂×C₈	—	52	1	no	—
1426	C₂×C₈	—	52	1	no	—
1427	C₂×C₈	—	52	1	no	—
1428	C₂×C₈	—	52	1	no	—
1429	C₂×C₈	—	52	1	no	—
1430	C₂×C₈	—	52	1	no	—
1431	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1439	C₄⋊C₄	—	13	1	no	—
1440	C₄⋊C₄	—	13	1	no	—
1441	C₄⋊C₄	—	13	1	no	—
1442	C₄⋊C₄	—	13	1	no	—
1443	C₄⋊C₄	—	13	1	no	—
1444	C₄⋊C₄	—	13	1	no	—
1445	C₄⋊C₄	—	13	1	no	—
1446	C₄⋊C₄	—	13	1	no	—
1447	C₄⋊C₄	—	13	1	no	—
1448	C₄⋊C₄	—	13	1	no	—
1449	C₄⋊C₄	—	13	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	13	1	no	—
1453	C₄⋊C₄	—	13	1	no	—
1454	C₄⋊C₄	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	13	1	no	—
1460	C₄⋊C₄	—	13	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	13	1	no	—
1464	C₄⋊C₄	—	13	1	no	—
1465	C₄⋊C₄	—	13	1	no	—
1466	C₄⋊C₄	—	13	1	no	—
1467	C₄⋊C₄	—	13	1	no	—
1468	C₄⋊C₄	—	13	1	no	—
1469	C₄⋊C₄	—	13	1	no	—
1470	C₄⋊C₄	—	13	1	no	—
1471	C₄⋊C₄	—	13	1	no	—
1472	C₄⋊C₄	—	13	1	no	—
1473	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1483	C₂²⋊C₄	—	13	1	no	—
1484	C₂²⋊C₄	—	13	1	no	—
1485	C₂²⋊C₄	—	13	1	no	—
1486	C₂²⋊C₄	—	13	1	no	—
1487	C₂²⋊C₄	—	13	1	no	—
1488	C₂²⋊C₄	—	13	1	no	—
1489	C₂²⋊C₄	—	13	1	no	—
1490	C₂²⋊C₄	—	13	1	no	—
1491	C₂²⋊C₄	—	13	1	no	—
1492	C₂²⋊C₄	—	13	1	no	—
1493	C₂²⋊C₄	—	13	1	no	—
1494	C₂²⋊C₄	—	13	1	no	—
1495	C₂²⋊C₄	—	13	1	no	—
1496	C₂²⋊C₄	—	13	1	no	—
1497	C₂²⋊C₄	—	13	1	no	—
1498	C₂²⋊C₄	—	13	1	no	—
1499	C₂²⋊C₄	—	13	1	no	—
1500	C₂²⋊C₄	—	13	1	no	—
1501	C₂²⋊C₄	—	13	1	no	—
1502	C₂²⋊C₄	—	13	1	no	—
1503	C₂²⋊C₄	—	13	1	no	—
1504	C₂²⋊C₄	—	13	1	no	—
1505	C₂²⋊C₄	—	13	1	no	—
1506	C₂²⋊C₄	—	13	1	no	—
1507	C₂²⋊C₄	—	13	1	no	—
1508	C₂²⋊C₄	—	13	1	no	—
1509	C₂²⋊C₄	—	13	1	no	—
1510	C₂²⋊C₄	—	13	1	no	—
1511	C₂²⋊C₄	—	13	1	no	—
1512	C₂²⋊C₄	—	13	1	no	—
1513	C₂²⋊C₄	—	13	1	no	—
1514	C₂²⋊C₄	—	13	1	no	—
1515	C₂²⋊C₄	—	13	1	no	—
1516	C₂²⋊C₄	—	13	1	no	—
1517	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1527	C₄²	—	13	1	no	—
1528	C₄²	—	13	1	no	—
1529	C₄²	—	13	1	no	—
1530	C₄²	—	13	1	no	—
1531	C₄²	—	13	1	no	—
1532	C₄²	—	13	1	no	—
1533	C₄²	—	13	1	no	—
1534	C₄²	—	13	1	no	—
1535	C₄²	—	13	1	no	—
1536	C₄²	—	13	1	no	—
1537	C₄²	—	13	1	no	—
1538	C₄²	—	13	1	no	—
1539	C₄²	—	13	1	no	—
1540	C₄²	—	13	1	no	—
1541	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1542	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1543	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1544	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1545	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1546	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1547	C₁₃	#60267	1	1	yes	characteristic, complemented, Sylow
1548	C₂³	—	13	1	no	—
1549	C₂³	—	13	1	no	—
1550	C₂³	—	13	1	no	—
1551	C₂³	—	13	1	no	—
1552	C₂³	—	26	2	no	—
1553	C₂³	—	52	1	no	—
1554	C₂³	—	52	1	no	—
1555	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1556	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1557	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1558	Q₈	—	4	1	no	—
1559	Q₈	—	26	2	no	—
1560	Q₈	—	26	2	no	—
1561	Q₈	—	52	1	no	—
1562	Q₈	—	52	1	no	—
1563	Q₈	—	52	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	26	2	no	—
1568	D₄	—	26	2	no	—
1569	D₄	—	26	2	no	—
1570	D₄	—	26	2	no	—
1571	D₄	—	26	2	no	—
1572	D₄	—	26	2	no	—
1573	D₄	—	52	1	no	—
1574	D₄	—	52	1	no	—
1575	D₄	—	52	1	no	—
1576	D₄	—	52	1	no	—
1577	D₄	—	52	1	no	—
1578	D₄	—	52	1	no	—
1579	D₄	—	52	1	no	—
1580	D₄	—	52	1	no	—
1581	D₄	—	52	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	13	1	no	—
1591	C₂×C₄	—	13	2	no	—
1592	C₂×C₄	—	13	2	no	—
1593	C₂×C₄	—	13	1	no	—
1594	C₂×C₄	—	13	1	no	—
1595	C₂×C₄	—	13	1	no	—
1596	C₂×C₄	—	13	1	no	—
1597	C₂×C₄	—	13	1	no	—
1598	C₂×C₄	—	13	1	no	—
1599	C₂×C₄	—	13	1	no	—
1600	C₂×C₄	—	13	1	no	—
1601	C₂×C₄	—	13	1	no	—
1602	C₂×C₄	—	13	1	no	—
1603	C₂×C₄	—	13	1	no	—
1604	C₂×C₄	—	26	2	no	—
1605	C₂×C₄	—	26	2	no	—
1606	C₂×C₄	—	26	2	no	—
1607	C₂×C₄	—	26	1	no	—
1608	C₂×C₄	—	26	1	no	—
1609	C₂×C₄	—	26	1	no	—
1610	C₂×C₄	—	26	1	no	—
1611	C₂×C₄	—	26	1	no	—
1612	C₂×C₄	—	26	1	no	—
1613	C₂×C₄	—	52	1	no	—
1614	C₂×C₄	—	52	1	no	—
1615	C₂×C₄	—	52	1	no	—
1616	C₂×C₄	—	52	1	no	—
1617	C₂×C₄	—	52	1	no	—
1618	C₂×C₄	—	52	1	no	—
1619	C₂×C₄	—	52	1	no	—
1620	C₂×C₄	—	52	1	no	—
1621	C₂×C₄	—	52	1	no	—
1622	C₂×C₄	—	52	1	no	—
1623	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1629	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1630	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1634	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₈	—	2	1	no	—
1641	C₈	—	2	1	no	—
1642	C₈	—	2	1	no	—
1643	C₈	—	26	1	no	—
1644	C₈	—	26	1	no	—
1645	C₈	—	26	1	no	—
1646	C₈	—	26	1	no	—
1647	C₈	—	26	1	no	—
1648	C₈	—	26	1	no	—
1649	C₈	—	26	1	no	—
1650	C₈	—	26	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	13	2	no	—
1661	C₂²	—	26	1	no	—
1662	C₂²	—	26	1	no	—
1663	C₂²	—	26	1	no	—
1664	C₂²	—	26	1	no	—
1665	C₂²	—	26	1	no	—
1666	C₂²	—	26	1	no	—
1667	C₂²	—	26	1	no	—
1668	C₂²	—	26	1	no	—
1669	C₂²	—	26	1	no	—
1670	C₂²	—	26	1	no	—
1671	C₂²	—	26	1	no	—
1672	C₂²	—	52	4	no	—
1673	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	13	2	no	—
1686	C₄	—	26	1	no	—
1687	C₄	—	26	1	no	—
1688	C₄	—	26	1	no	—
1689	C₄	—	26	1	no	—
1690	C₄	—	26	1	no	—
1691	C₄	—	26	1	no	—
1692	C₄	—	26	1	no	—
1693	C₄	—	26	1	no	—
1694	C₄	—	26	1	no	—
1695	C₄	—	26	1	no	—
1696	C₄	—	26	1	no	—
1697	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1698	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	26	2	no	—
1703	C₂	—	52	1	no	—
1704	C₂	—	52	1	no	—
1705	C₂	—	52	1	no	—
1706	C₂	D₁₃×#520	1	1	yes	characteristic
1707	C₂	#13129547	1	1	yes	characteristic
1708	C₂	#13129549	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2992	C₂
prime radical	#13128219	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2992	D₁₃
hypocenter	C₁₃	#60267
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2992

Complements

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

N	H ≅ G/N	type
2. #13124008	C₂	semidirect
3. #13124007	C₂	semidirect
4. #13124005	C₂	semidirect
5. #13124004	C₂	semidirect
6. #13123999	C₂	semidirect
7. #13123993	C₂	semidirect
8. #13123992	C₂	semidirect
9. #13123990	C₂	semidirect
10. #13123986	C₂	semidirect
11. #13123985	C₂	semidirect
12. #13123979	C₂	semidirect
13. #13123978	C₂	semidirect
14. #13123976	C₂	semidirect
15. #13123973	C₂	semidirect
16. #13123971	C₂	semidirect
17. #13123784	C₂	semidirect
18. #13123781	C₂	semidirect
19. #13123577	C₂	semidirect
20. #13123575	C₂	semidirect
21. #13123534	C₂	semidirect
22. #13123534	C₂	semidirect
23. #13123527	C₂	semidirect
24. #13123525	C₂	semidirect
25. #13123503	C₂	semidirect
26. #13123499	C₂	semidirect
27. #13123470	C₂	semidirect
28. #13123403	C₂	semidirect
29. #13123401	C₂	semidirect
30. D₁₃×#424	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
69. C₁₃×#446	C₂²	semidirect
70. C₁₃×#446	C₂²	semidirect
74. C₁₃×#435	C₂²	semidirect
76. C₈×D₄×C₁₃	C₂²	semidirect
78. C₁₃×#433	C₂²	semidirect
79. C₁₃×#432	C₂²	semidirect
81. C₁₃×#424	C₂²	semidirect
82. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
83. #11718789	C₂²	semidirect
88. #11718779	C₂²	semidirect
92. #11718772	C₂²	semidirect
93. #11718772	C₂²	semidirect
96. C₈×C₂²⋊D₁₃	C₂²	semidirect
98. #11718763	C₂²	semidirect
99. #11718763	C₂²	semidirect
100. C₂×#88054	C₂²	semidirect
101. #11718685	C₂²	semidirect
102. Q₈×#1055	C₂²	semidirect
105. #11718673	C₂²	semidirect
107. #11718672	C₂²	semidirect
110. #11718661	C₂²	semidirect
112. #11718660	C₂²	semidirect
113. #11718586	C₂²	semidirect
114. #11718585	C₂²	semidirect
117. #11718501	C₂²	semidirect
118. #11718501	C₂²	semidirect
127. #11718500	C₂²	semidirect
128. #11718500	C₂²	semidirect
129. #11718500	C₂²	semidirect
130. #11718500	C₂²	semidirect
135. #11718498	C₂²	semidirect
136. #11718498	C₂²	semidirect
138. #11718497	C₂²	semidirect
139. #11718496	C₂²	semidirect
141. #11718495	C₂²	semidirect
142. #11718494	C₂²	semidirect
147. D₁₃×C₄⋊C₈	C₂²	semidirect
148. D₁₃×C₄⋊C₈	C₂²	semidirect
149. #11718492	C₂²	semidirect
150. #11718492	C₂²	semidirect
151. #11718492	C₂²	semidirect
152. #11718491	C₂²	semidirect
153. #11718489	C₂²	semidirect
154. #11718489	C₂²	semidirect
160. #11718390	C₂²	semidirect
162. #11718389	C₂²	semidirect
163. #11718389	C₂²	semidirect
172. #11718386	C₂²	semidirect
175. #11718381	C₂²	semidirect
176. #11718381	C₂²	semidirect
177. #11718380	C₂²	semidirect
178. #11718379	C₂²	semidirect
180. #11718370	C₂²	semidirect
181. #11718370	C₂²	semidirect
189. #11718367	C₂²	semidirect
190. #11718366	C₂²	semidirect
191. #11718362	C₂²	semidirect
192. #11718362	C₂²	semidirect
193. #11718362	C₂²	semidirect
194. #11718362	C₂²	semidirect
197. #11718349	C₂²	semidirect
200. #11718346	C₂²	semidirect
201. C₈×Dic₂₆	C₂²	semidirect
202. C₈×Dic₂₆	C₂²	semidirect
710. #2992	D₁₃	semidirect
875. #446	C₂×D₁₃	semidirect
876. #446	C₂×D₁₃	semidirect
916. #435	C₂×D₁₃	semidirect
928. C₈×D₄	C₂×D₁₃	semidirect
944. #433	C₂×D₁₃	semidirect
948. #432	C₂×D₁₃	semidirect
972. #424	C₂×D₁₃	semidirect
986. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1547. C₁₃	#60267	semidirect

Maximal subgroups

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

subgroup	index
#13128219	2
#13124008	2
#13124007	2
#13124005	2
#13124004	2
#13123999	2
#13123993	2
#13123992	2
#13123990	2
#13123986	2
#13123985	2
#13123979	2
#13123978	2
#13123976	2
#13123973	2
#13123971	2
#13123784	2
#13123781	2
#13123577	2
#13123575	2
#13123534	2
#13123527	2
#13123525	2
#13123503	2
#13123499	2
#13123470	2
#13123403	2
#13123401	2
D₁₃×#424	2
C₁₃×#2992	2
#60267	13