Subgroups — #16739706

Order 3328.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128400	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128322	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127029	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127014	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126999	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126984	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126969	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126954	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126939	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126924	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126909	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126879	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126864	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126849	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126834	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126819	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126804	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125181	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124747	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124747	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124626	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124441	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124413	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123634	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718497	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#532	C₂²	1	1	yes	characteristic
37	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
38	#11719533	C₂²	1	1	yes	characteristic
39	#11719533	C₂²	1	1	yes	characteristic
40	#11719533	C₂²	1	1	yes	characteristic, complemented
41	#11719533	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88204	C₂²	1	1	yes	characteristic
43	C₂²×#6094	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	#11719432	C₂²	1	1	yes	characteristic
46	#11719431	C₂²	1	1	yes	characteristic
47	#11719423	C₂²	1	1	yes	characteristic
48	#11719422	C₂²	1	1	yes	characteristic
49	#11719382	C₂²	1	1	yes	characteristic
50	#11719382	C₂²	1	1	yes	characteristic
51	#11719381	C₂²	1	1	yes	characteristic
52	#11719381	C₂²	1	1	yes	characteristic
53	#11719316	—	2	1	no	—
54	#11719315	—	2	1	no	—
55	#11719315	—	2	1	no	—
56	#11719314	—	2	1	no	—
57	#11719289	C₂²	1	1	yes	characteristic, complemented
58	#11719286	C₂²	1	1	yes	characteristic
59	#11719286	C₂²	1	1	yes	characteristic, complemented
60	#11719284	C₂²	1	1	yes	characteristic, complemented
61	#11719268	C₂²	1	1	yes	characteristic, complemented
62	#11719263	C₂²	1	1	yes	characteristic
63	#11719263	C₂²	1	1	yes	characteristic, complemented
64	#11719261	—	2	1	no	—
65	#11719261	—	2	1	no	—
66	#11719256	C₂²	1	1	yes	characteristic, complemented
67	#11719255	—	2	1	no	—
68	#11719253	—	2	1	no	—
69	#11719252	—	2	1	no	—
70	#11719252	—	2	1	no	—
71	C₄×D₄×D₁₃	—	2	1	no	—
72	#11719246	—	2	1	no	—
73	#11719233	—	2	1	no	—
74	#11719233	—	2	1	no	—
75	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
76	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
77	#11719184	—	2	1	no	—
78	C₄×#6127	—	2	1	no	—
79	C₄×#6127	C₂²	1	1	yes	characteristic
80	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
81	#11719175	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
93	#11718894	C₂²	1	1	yes	characteristic, complemented
94	#11718894	C₂²	1	1	yes	characteristic, complemented
95	#11718894	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718850	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718849	C₂²	1	1	yes	characteristic, complemented
101	#11718849	C₂²	1	1	yes	characteristic, complemented
102	#11718848	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718847	C₂²	1	1	yes	characteristic, complemented
106	#11718835	C₂²	1	1	yes	characteristic, complemented
107	#11718835	C₂²	1	1	yes	characteristic, complemented
108	#11718835	C₂²	1	1	yes	characteristic, complemented
109	#11718835	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic, complemented
111	#11718834	C₂²	1	1	yes	characteristic, complemented
112	#11718833	C₂²	1	1	yes	characteristic, complemented
113	#11718833	C₂²	1	1	yes	characteristic, complemented
114	#11718832	C₂²	1	1	yes	characteristic, complemented
115	#11718832	C₂²	1	1	yes	characteristic, complemented
116	#11718832	C₂²	1	1	yes	characteristic, complemented
117	#11718832	C₂²	1	1	yes	characteristic, complemented
118	#11718831	C₂²	1	1	yes	characteristic, complemented
119	#11718831	C₂²	1	1	yes	characteristic, complemented
120	#11718830	C₂²	1	1	yes	characteristic, complemented
121	#11718830	C₂²	1	1	yes	characteristic, complemented
122	#11718820	C₂²	1	1	yes	characteristic, complemented
123	#11718820	C₂²	1	1	yes	characteristic, complemented
124	#11718819	C₂²	1	1	yes	characteristic, complemented
125	#11718819	C₂²	1	1	yes	characteristic, complemented
126	#11718818	C₂²	1	1	yes	characteristic, complemented
127	#11718818	C₂²	1	1	yes	characteristic, complemented
128	#11718817	C₂²	1	1	yes	characteristic, complemented
129	#11718817	C₂²	1	1	yes	characteristic, complemented
130	#11718774	C₂²	1	1	yes	characteristic
131	#11718774	C₂²	1	1	yes	characteristic
132	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
134	#11718767	C₂²	1	1	yes	characteristic, complemented
135	#11718767	C₂²	1	1	yes	characteristic, complemented
136	#11718743	C₂²	1	1	yes	characteristic, complemented
137	#11718743	C₂²	1	1	yes	characteristic, complemented
138	#11718732	C₂²	1	1	yes	characteristic, complemented
139	#11718732	C₂²	1	1	yes	characteristic, complemented
140	#11718716	C₂²	1	1	yes	characteristic, complemented
141	#11718716	C₂²	1	1	yes	characteristic, complemented
142	#11718716	C₂²	1	1	yes	characteristic, complemented
143	#11718716	C₂²	1	1	yes	characteristic, complemented
144	#11718691	C₂²	1	1	yes	characteristic, complemented
145	#11718691	C₂²	1	1	yes	characteristic, complemented
146	#11718687	C₂²	1	1	yes	characteristic, complemented
147	#11718687	C₂²	1	1	yes	characteristic, complemented
148	#11718679	C₂²	1	1	yes	characteristic, complemented
149	#11718679	C₂²	1	1	yes	characteristic, complemented
150	#11718675	C₂²	1	1	yes	characteristic, complemented
151	#11718675	C₂²	1	1	yes	characteristic, complemented
152	#11718663	C₂²	1	1	yes	characteristic
153	#11718659	C₂²	1	1	yes	characteristic, complemented
154	C₂×#88043	C₂²	1	1	yes	characteristic, complemented
155	#11718512	C₂²	1	1	yes	characteristic, complemented
156	#11718511	C₂²	1	1	yes	characteristic, complemented
157	#11718508	C₂²	1	1	yes	characteristic, complemented
158	#11718508	C₂²	1	1	yes	characteristic, complemented
159	#11718507	C₂²	1	1	yes	characteristic, complemented
160	#11718503	C₂²	1	1	yes	characteristic, complemented
161	#11718497	C₂²	1	1	yes	characteristic
162	#11718497	C₂²	1	1	yes	characteristic
163	#11718497	C₂²	1	1	yes	characteristic, complemented
164	#11718497	C₂²	1	1	yes	characteristic, complemented
165	#11718497	C₂²	1	1	yes	characteristic, complemented
166	#11718497	C₂²	1	1	yes	characteristic, complemented
167	#11718497	C₂²	1	1	yes	characteristic, complemented
168	#11718497	C₂²	1	1	yes	characteristic, complemented
169	#11718490	C₂²	1	1	yes	characteristic, complemented
170	#11718490	C₂²	1	1	yes	characteristic, complemented
171	#11718476	C₂²	1	1	yes	characteristic, complemented
172	#11718476	C₂²	1	1	yes	characteristic, complemented
173	#11718475	C₂²	1	1	yes	characteristic, complemented
174	#11718475	C₂²	1	1	yes	characteristic, complemented
175	#11718470	C₂²	1	1	yes	characteristic, complemented
176	#11718470	C₂²	1	1	yes	characteristic, complemented
177	#11718466	C₂²	1	1	yes	characteristic, complemented
178	#11718466	C₂²	1	1	yes	characteristic, complemented
179	#11718465	C₂²	1	1	yes	characteristic, complemented
180	#11718465	C₂²	1	1	yes	characteristic, complemented
181	#11718464	C₂²	1	1	yes	characteristic, complemented
182	#11718464	C₂²	1	1	yes	characteristic, complemented
183	#11718463	C₂²	1	1	yes	characteristic, complemented
184	#11718463	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
187	#11718445	C₂²	1	1	yes	characteristic, complemented
188	#11718445	C₂²	1	1	yes	characteristic, complemented
189	#11718440	C₂²	1	1	yes	characteristic, complemented
190	#11718440	C₂²	1	1	yes	characteristic, complemented
191	#11718438	C₂²	1	1	yes	characteristic, complemented
192	#11718438	C₂²	1	1	yes	characteristic, complemented
193	#11718435	C₂²	1	1	yes	characteristic, complemented
194	#11718435	C₂²	1	1	yes	characteristic, complemented
195	#11718433	C₂²	1	1	yes	characteristic, complemented
196	#11718433	C₂²	1	1	yes	characteristic, complemented
197	#11718432	C₂²	1	1	yes	characteristic, complemented
198	#11718432	C₂²	1	1	yes	characteristic, complemented
199	#11718431	C₂²	1	1	yes	characteristic, complemented
200	#11718431	C₂²	1	1	yes	characteristic, complemented
201	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	#41×D₁₃	—	2	4	no	—
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	D₄	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₁₃×#135	—	4	2	no	—
233	C₁₃×#135	—	4	2	no	—
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×#127	C₂³	1	1	yes	characteristic
246	C₁₃×#124	C₂³	1	1	yes	characteristic
247	C₁₃×#124	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₂×C₄²×C₁₃	—	2	1	no	—
261	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
262	#88204	—	2	4	no	—
263	#88200	C₂³	1	1	yes	characteristic
264	#88200	C₂³	1	1	yes	characteristic
265	#88200	C₂³	1	1	yes	characteristic
266	#88200	C₂³	1	1	yes	characteristic
267	#88200	C₂³	1	1	yes	characteristic
268	#88200	C₂³	1	1	yes	characteristic
269	#88200	C₂³	1	1	yes	characteristic
270	#88200	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6106	C₂³	1	1	yes	characteristic
273	#88194	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88192	—	2	1	no	—
277	#88192	C₂³	1	1	yes	characteristic
278	#88192	C₂³	1	1	yes	characteristic
279	#88192	C₂³	1	1	yes	characteristic
280	#88192	C₂³	1	1	yes	characteristic
281	#88192	C₂³	1	1	yes	characteristic
282	#88192	C₂³	1	1	yes	characteristic
283	#88192	C₂³	1	1	yes	characteristic
284	#88192	C₂³	1	1	yes	characteristic
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88189	—	2	1	no	—
292	#88189	—	2	1	no	—
293	#88189	—	2	1	no	—
294	#88189	—	2	1	no	—
295	D₄×Dic₁₃	—	2	1	no	—
296	C₂×#6105	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	#88184	—	2	1	no	—
299	#88183	—	2	1	no	—
300	#88183	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	—	2	1	no	—
304	C₄×C₂²⋊D₁₃	—	2	1	no	—
305	C₄×C₂²⋊D₁₃	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	—	2	1	no	—
307	C₄×C₂²⋊D₁₃	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	C₄×C₂²⋊D₁₃	—	2	1	no	—
311	C₄×C₂²⋊D₁₃	—	2	1	no	—
312	C₄×C₂²⋊D₁₃	—	2	1	no	—
313	C₂×#6103	D₄	1	1	yes	characteristic
314	C₂×#6103	D₄	1	1	yes	characteristic
315	#88180	—	2	1	no	—
316	#88180	C₂³	1	1	yes	characteristic
317	#88180	C₂³	1	1	yes	characteristic
318	#88180	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₁₃	D₄	1	1	yes	characteristic
320	#88178	—	2	1	no	—
321	#88178	—	2	1	no	—
322	#88178	—	2	1	no	—
323	C₂²×#1055	C₂³	1	1	yes	characteristic
324	C₂²×#1055	C₂³	1	1	yes	characteristic
325	C₂×#6094	—	4	2	no	—
326	C₂×#6094	C₂³	1	1	yes	characteristic
327	C₂×#6094	C₂³	1	1	yes	characteristic
328	C₂×#6094	C₂³	1	1	yes	characteristic
329	C₂×#6094	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₁₃	—	4	2	no	—
331	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	#88152	—	2	1	no	—
336	#88152	—	2	1	no	—
337	#88150	—	2	1	no	—
338	#88150	—	2	1	no	—
339	#88150	—	2	1	no	—
340	#88150	—	2	1	no	—
341	#88149	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88148	—	2	1	no	—
344	#88148	—	2	1	no	—
345	#88148	—	2	1	no	—
346	#88147	—	2	1	no	—
347	#88146	C₂³	1	1	yes	characteristic
348	#88146	C₂³	1	1	yes	characteristic
349	#88146	C₂³	1	1	yes	characteristic
350	#88146	C₂³	1	1	yes	characteristic
351	C₄⋊C₄×D₁₃	—	2	1	no	—
352	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
353	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
354	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
356	#88143	—	2	1	no	—
357	#88143	—	2	1	no	—
358	#88142	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88138	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88137	—	2	1	no	—
371	#88137	—	2	1	no	—
372	#88137	—	2	1	no	—
373	#88136	—	2	1	no	—
374	#88136	—	2	1	no	—
375	#88135	—	2	1	no	—
376	#88135	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	#88133	—	2	1	no	—
382	#88133	—	2	1	no	—
383	#88132	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88131	—	2	1	no	—
386	#88131	—	2	1	no	—
387	#88130	—	2	1	no	—
388	#88130	—	2	1	no	—
389	#88129	—	2	1	no	—
390	C₄×D₅₂	—	2	1	no	—
391	C₄×D₅₂	D₄	1	1	yes	characteristic
392	C₄×D₅₂	D₄	1	1	yes	characteristic
393	C₄×D₅₂	D₄	1	1	yes	characteristic
394	C₄×D₅₂	D₄	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	#88126	—	2	1	no	—
402	#88126	—	2	1	no	—
403	#88126	—	2	1	no	—
404	#88126	—	2	1	no	—
405	#88126	—	2	1	no	—
406	C₄²×D₁₃	—	2	1	no	—
407	C₄²×D₁₃	—	2	1	no	—
408	C₄²×D₁₃	—	2	1	no	—
409	#88124	—	2	1	no	—
410	#88124	C₂³	1	1	yes	characteristic
411	#88124	C₂³	1	1	yes	characteristic
412	#88123	C₂³	1	1	yes	characteristic
413	#88123	C₂³	1	1	yes	characteristic
414	C₄×Dic₂₆	—	2	1	no	—
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88058	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88057	C₂³	1	1	yes	characteristic
468	#88057	C₂³	1	1	yes	characteristic
469	#88057	C₂³	1	1	yes	characteristic
470	#88057	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88043	C₂³	1	1	yes	characteristic
484	#88043	C₂³	1	1	yes	characteristic
485	#88043	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61141	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	—	2	1	no	—
532	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
534	#6131	—	2	2	no	—
535	#6131	—	2	2	no	—
536	#6131	—	4	1	no	—
537	#6131	—	4	1	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	2	2	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	#6129	—	2	2	no	—
543	#6129	—	2	2	no	—
544	#6129	—	4	1	no	—
545	#6129	—	4	1	no	—
546	#6129	—	4	4	no	—
547	#6129	—	4	4	no	—
548	D₄×D₁₃	—	2	2	no	—
549	D₄×D₁₃	—	2	2	no	—
550	D₄×D₁₃	—	4	1	no	—
551	D₄×D₁₃	—	4	1	no	—
552	D₄×D₁₃	—	4	4	no	—
553	D₄×D₁₃	—	4	4	no	—
554	D₄×D₁₃	—	4	4	no	—
555	#6127	—	2	2	no	—
556	#6127	—	4	4	no	—
557	#6127	—	4	4	no	—
558	#6127	—	4	4	no	—
559	#6127	#41	1	4	yes	complemented
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	—	2	1	no	—
562	C₂×D₅₂	—	4	2	no	—
563	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
564	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
565	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
566	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
567	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	2	no	—
570	C₂×C₄×D₁₃	—	2	2	no	—
571	C₂×C₄×D₁₃	—	2	2	no	—
572	C₂×C₄×D₁₃	—	2	2	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	4	4	no	—
584	C₂×C₄×D₁₃	—	4	4	no	—
585	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
598	C₁₃×Q₁₆	—	4	1	no	—
599	C₁₃×Q₁₆	—	4	1	no	—
600	C₁₃×SD₁₆	—	4	1	no	—
601	C₁₃×SD₁₆	—	4	1	no	—
602	C₁₃×SD₁₆	—	4	1	no	—
603	C₁₃×SD₁₆	—	4	1	no	—
604	C₁₃×D₈	—	4	1	no	—
605	C₁₃×D₈	—	4	1	no	—
606	C₂×C₈×C₁₃	—	2	2	no	—
607	C₂×C₈×C₁₃	—	2	2	no	—
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₄²×C₁₃	—	2	1	no	—
626	C₄²×C₁₃	—	2	1	no	—
627	C₄²×C₁₃	—	2	1	no	—
628	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
629	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	#6107	—	2	2	no	—
644	#6106	—	2	2	no	—
645	#6105	—	2	2	no	—
646	#6104	—	2	2	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	C₂×D₄	1	1	yes	characteristic
662	#6103	C₂×D₄	1	1	yes	characteristic
663	#6103	C₂×D₄	1	1	yes	characteristic
664	#6103	C₂×D₄	1	1	yes	characteristic
665	#6103	C₂×D₄	1	1	yes	characteristic
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
675	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	—	2	1	no	—
706	C₄×Dic₁₃	—	2	1	no	—
707	C₄×Dic₁₃	—	2	1	no	—
708	C₂×#1055	—	2	2	no	—
709	C₂×#1055	—	2	2	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	#6094	—	4	1	no	—
715	#6094	—	4	1	no	—
716	#6094	—	4	1	no	—
717	#6094	—	4	1	no	—
718	C₈×D₁₃	—	4	1	no	—
719	C₈×D₁₃	—	4	1	no	—
720	C₈×D₁₃	—	4	1	no	—
721	C₈×D₁₃	—	4	1	no	—
722	#3475	—	13	1	no	—
723	D₄×#41	—	13	1	no	—
724	#3321	—	13	1	no	—
725	#3320	—	13	1	no	—
726	#3319	—	13	1	no	—
727	#3318	—	13	1	no	—
728	#3317	—	13	1	no	—
729	#3316	—	13	1	no	—
730	#3315	—	13	1	no	—
731	#3314	—	13	1	no	—
732	#3313	—	13	1	no	—
733	#3312	—	13	1	no	—
734	#3311	—	13	1	no	—
735	#3310	—	13	1	no	—
736	#3309	—	13	1	no	—
737	#3308	—	13	1	no	—
738	#3307	—	13	1	no	—
739	#3306	—	13	1	no	—
740	#3135	—	13	1	no	—
741	#3091	—	13	1	no	—
742	#3091	—	13	1	no	—
743	#3076	—	13	1	no	—
744	#3054	—	13	1	no	—
745	#3050	—	13	1	no	—
746	#3035	D₁₃	1	1	yes	characteristic, complemented
747	#3002	—	13	1	no	—
748	#3002	—	13	1	no	—
749	#2943	—	13	1	no	—
750	C₂×#435	—	13	1	no	—
751	#2896	—	13	1	no	—
752	C₂×#416	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	—	2	1	no	—
755	C₂³×C₁₃	—	2	1	no	—
756	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂²×D₁₃	—	2	2	no	—
758	C₂²×D₁₃	—	2	1	no	—
759	C₂²×D₁₃	—	2	2	no	—
760	C₂²×D₁₃	—	2	2	no	—
761	C₂²×D₁₃	—	4	1	no	—
762	C₂²×D₁₃	—	4	1	no	—
763	C₂²×D₁₃	—	4	1	no	—
764	C₂²×D₁₃	—	4	2	no	—
765	C₂²×D₁₃	—	4	2	no	—
766	C₂²×D₁₃	—	4	2	no	—
767	C₂²×D₁₃	—	4	2	no	—
768	C₂²×D₁₃	—	8	1	no	—
769	C₂²×D₁₃	—	8	1	no	—
770	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	2	1	no	—
777	Q₈×C₁₃	—	2	1	no	—
778	Q₈×C₁₃	—	2	1	no	—
779	Q₈×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	2	1	no	—
783	D₄×C₁₃	—	2	1	no	—
784	D₄×C₁₃	—	2	1	no	—
785	D₄×C₁₃	—	2	1	no	—
786	D₄×C₁₃	—	4	2	no	—
787	D₄×C₁₃	—	4	2	no	—
788	D₄×C₁₃	—	4	2	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	4	1	no	—
797	C₂×C₄×C₁₃	—	4	1	no	—
798	C₂×C₄×C₁₃	—	4	2	no	—
799	C₂×C₄×C₁₃	—	4	2	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	4	2	no	—
802	C₂×C₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
809	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
810	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
811	C₂²⋊D₁₃	—	2	4	no	—
812	C₂²⋊D₁₃	—	4	2	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	4	2	no	—
815	C₂²⋊D₁₃	—	4	2	no	—
816	C₂²⋊D₁₃	—	4	2	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	4	2	no	—
819	C₂²⋊D₁₃	—	4	2	no	—
820	C₂²⋊D₁₃	—	8	1	no	—
821	C₂²⋊D₁₃	—	8	1	no	—
822	C₂²⋊D₁₃	—	8	1	no	—
823	C₂²⋊D₁₃	—	8	1	no	—
824	C₂×Dic₁₃	—	2	2	no	—
825	C₂×Dic₁₃	—	2	2	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	4	2	no	—
834	C₂×Dic₁₃	—	4	2	no	—
835	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
839	D₅₂	—	2	2	no	—
840	D₅₂	—	2	2	no	—
841	D₅₂	—	2	1	no	—
842	D₅₂	—	4	1	no	—
843	D₅₂	—	4	1	no	—
844	D₅₂	—	4	2	no	—
845	D₅₂	—	4	2	no	—
846	D₅₂	C₂×#41	1	2	yes	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	2	2	no	—
849	C₄×D₁₃	—	2	2	no	—
850	C₄×D₁₃	—	2	2	no	—
851	C₄×D₁₃	—	2	4	no	—
852	C₄×D₁₃	—	2	1	no	—
853	C₄×D₁₃	—	2	1	no	—
854	C₄×D₁₃	—	2	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	8	1	no	—
868	C₄×D₁₃	—	8	1	no	—
869	C₄×D₁₃	—	8	1	no	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	4	2	no	—
872	Dic₂₆	—	4	2	no	—
873	Dic₂₆	—	4	2	no	—
874	Dic₂₆	—	8	1	no	—
875	Dic₂₆	C₂×#41	1	2	yes	—
876	C₈×C₁₃	—	2	1	no	—
877	C₈×C₁₃	—	2	1	no	—
878	C₈×C₁₃	—	2	1	no	—
879	C₈×C₁₃	—	2	1	no	—
880	#1055	—	2	1	no	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	C₂²×#41	—	13	1	no	—
885	C₂²×#41	—	13	1	no	—
886	C₂×#135	—	13	1	no	—
887	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
888	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
889	C₂²×M₁₆	—	13	1	no	—
890	C₂³×C₈	—	13	1	no	—
891	#556	—	13	1	no	—
892	#555	—	13	1	no	—
893	#554	—	13	1	no	—
894	#553	—	13	1	no	—
895	#553	—	13	1	no	—
896	#552	—	13	1	no	—
897	#552	—	13	1	no	—
898	#552	—	26	1	no	—
899	#551	—	26	1	no	—
900	#551	—	26	1	no	—
901	#550	—	13	1	no	—
902	D₄×Q₈	—	13	1	no	—
903	#548	—	13	1	no	—
904	#548	—	13	1	no	—
905	#547	—	13	1	no	—
906	#547	—	13	1	no	—
907	#547	—	26	1	no	—
908	#546	—	13	1	no	—
909	#546	—	13	1	no	—
910	#546	—	26	1	no	—
911	#546	—	26	1	no	—
912	#546	—	26	1	no	—
913	D₄²	—	13	1	no	—
914	D₄²	—	26	1	no	—
915	#533	—	13	1	no	—
916	#532	—	26	1	no	—
917	#532	C₂×D₁₃	1	1	yes	characteristic
918	#529	—	26	1	no	—
919	#529	—	26	1	no	—
920	#529	—	26	1	no	—
921	#525	—	13	1	no	—
922	#525	—	13	1	no	—
923	#525	—	13	1	no	—
924	#525	—	13	1	no	—
925	#525	—	26	1	no	—
926	#525	—	26	1	no	—
927	C₄×#41	—	13	1	no	—
928	C₄×#41	—	26	1	no	—
929	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
930	C₂×C₄×D₄	—	13	1	no	—
931	C₂×C₄×D₄	—	26	1	no	—
932	C₂×#117	—	13	1	no	—
933	C₂×#117	—	13	1	no	—
934	#491	—	13	1	no	—
935	#491	—	13	1	no	—
936	#490	—	13	1	no	—
937	#490	—	13	1	no	—
938	#489	—	13	1	no	—
939	#489	—	13	1	no	—
940	#489	—	13	1	no	—
941	#489	—	13	1	no	—
942	#485	—	13	1	no	—
943	#485	—	13	1	no	—
944	#485	—	13	1	no	—
945	#485	—	13	1	no	—
946	#484	—	13	1	no	—
947	#484	—	13	1	no	—
948	#483	—	13	1	no	—
949	#483	—	13	1	no	—
950	#482	—	13	1	no	—
951	#482	—	13	1	no	—
952	#482	—	13	1	no	—
953	#482	—	13	1	no	—
954	#481	—	13	1	no	—
955	#481	—	13	1	no	—
956	#480	—	13	1	no	—
957	#480	—	13	1	no	—
958	#479	—	13	1	no	—
959	#479	—	13	1	no	—
960	#478	—	13	1	no	—
961	#478	—	13	1	no	—
962	#477	—	13	1	no	—
963	#476	—	13	1	no	—
964	#475	—	13	1	no	—
965	#474	—	13	1	no	—
966	#470	—	13	1	no	—
967	#470	—	13	1	no	—
968	#469	—	13	1	no	—
969	#469	—	13	1	no	—
970	#468	—	13	1	no	—
971	#468	—	13	1	no	—
972	#468	—	13	1	no	—
973	#468	—	13	1	no	—
974	#467	—	13	1	no	—
975	#467	—	13	1	no	—
976	#466	—	13	1	no	—
977	#466	—	13	1	no	—
978	#465	—	13	1	no	—
979	#465	—	13	1	no	—
980	#465	—	13	1	no	—
981	#465	—	13	1	no	—
982	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
988	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#452	—	13	1	no	—
991	#452	—	13	1	no	—
992	#452	—	13	1	no	—
993	#452	—	13	1	no	—
994	#451	—	13	1	no	—
995	#451	—	13	1	no	—
996	#450	—	13	1	no	—
997	#450	—	13	1	no	—
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#448	—	13	1	no	—
1003	#448	—	13	1	no	—
1004	#447	—	13	1	no	—
1005	#447	—	13	1	no	—
1006	#442	—	13	1	no	—
1007	#442	—	13	1	no	—
1008	#441	—	13	1	no	—
1009	#441	—	13	1	no	—
1010	#440	—	13	1	no	—
1011	#440	—	13	1	no	—
1012	#440	—	13	1	no	—
1013	#440	—	13	1	no	—
1014	#435	—	13	1	no	—
1015	#435	—	13	1	no	—
1016	#435	—	13	1	no	—
1017	#435	—	13	1	no	—
1018	#435	—	13	1	no	—
1019	#435	—	13	1	no	—
1020	#435	—	13	1	no	—
1021	#435	—	13	1	no	—
1022	#427	—	13	1	no	—
1023	#427	—	13	1	no	—
1024	#427	—	13	1	no	—
1025	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#419	—	13	1	no	—
1027	#419	—	13	1	no	—
1028	#418	—	13	1	no	—
1029	#418	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#417	—	13	1	no	—
1033	#417	—	13	1	no	—
1034	#416	—	13	1	no	—
1035	#416	—	13	1	no	—
1036	#416	—	13	1	no	—
1037	#416	—	13	1	no	—
1038	#416	—	13	1	no	—
1039	#416	—	13	1	no	—
1040	#416	—	13	1	no	—
1041	#416	—	13	1	no	—
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1048	C₂×#103	—	13	1	no	—
1049	C₂×#103	—	13	1	no	—
1050	C₂×#102	—	13	1	no	—
1051	C₂×#102	—	13	1	no	—
1052	C₂×C₂²⋊C₈	—	13	1	no	—
1053	C₂×C₂²⋊C₈	—	13	1	no	—
1054	C₂×#97	—	13	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	—	4	1	no	—
1065	C₂²×C₁₃	—	4	1	no	—
1066	C₂²×C₁₃	#546	1	2	yes	—
1067	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	2	1	no	—
1070	C₂×D₁₃	—	2	1	no	—
1071	C₂×D₁₃	—	2	1	no	—
1072	C₂×D₁₃	—	2	1	no	—
1073	C₂×D₁₃	—	2	1	no	—
1074	C₂×D₁₃	—	2	1	no	—
1075	C₂×D₁₃	—	2	1	no	—
1076	C₂×D₁₃	—	2	2	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	1	no	—
1080	C₂×D₁₃	—	4	4	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	8	4	no	—
1084	C₂×D₁₃	—	8	2	no	—
1085	C₂×D₁₃	—	8	4	no	—
1086	C₂×D₁₃	#575	1	2	yes	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	2	1	no	—
1091	C₄×C₁₃	—	4	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	#546	1	2	yes	—
1097	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1098	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1099	Dic₁₃	—	2	2	no	—
1100	Dic₁₃	—	2	1	no	—
1101	Dic₁₃	—	2	1	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	2	1	no	—
1104	Dic₁₃	—	4	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	—	4	1	no	—
1108	Dic₁₃	—	4	1	no	—
1109	Dic₁₃	—	4	1	no	—
1110	C₂×#41	—	13	1	no	—
1111	C₂×#41	—	13	1	no	—
1112	C₂×#41	—	13	1	no	—
1113	C₂×#41	—	13	1	no	—
1114	C₂×#41	—	13	1	no	—
1115	C₂×#41	—	26	1	no	—
1116	C₂×#41	—	26	1	no	—
1117	C₂×#41	—	26	1	no	—
1118	C₂×#41	—	26	1	no	—
1119	C₂×#41	—	26	1	no	—
1120	C₂×#41	—	26	4	no	—
1121	C₂×#41	—	26	4	no	—
1122	C₂×#41	—	52	2	no	—
1123	C₂×#41	—	52	2	no	—
1124	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1127	C₂²×Q₈	—	13	1	no	—
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×D₄	—	13	1	no	—
1130	C₂²×D₄	—	13	1	no	—
1131	C₂²×D₄	—	13	1	no	—
1132	C₂²×D₄	—	26	1	no	—
1133	C₂²×D₄	—	26	1	no	—
1134	C₂²×D₄	—	26	1	no	—
1135	C₂³×C₄	—	13	1	no	—
1136	C₂³×C₄	—	13	1	no	—
1137	C₂³×C₄	—	26	1	no	—
1138	C₂³×C₄	—	26	1	no	—
1139	#135	—	4	2	no	—
1140	#135	—	4	2	no	—
1141	#135	—	26	4	no	—
1142	C₂×Q₁₆	—	13	1	no	—
1143	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×SD₁₆	—	13	1	no	—
1146	C₂×SD₁₆	—	13	1	no	—
1147	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1151	C₂×D₈	—	13	1	no	—
1152	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂×M₁₆	—	13	1	no	—
1155	C₂×M₁₆	—	13	1	no	—
1156	C₂×M₁₆	—	13	1	no	—
1157	C₂×M₁₆	—	13	1	no	—
1158	C₂×M₁₆	—	52	2	no	—
1159	C₂²×C₈	—	13	1	no	—
1160	C₂²×C₈	—	13	1	no	—
1161	C₂²×C₈	—	13	1	no	—
1162	C₂²×C₈	—	13	1	no	—
1163	C₂²×C₈	—	13	1	no	—
1164	C₂²×C₈	—	13	1	no	—
1165	C₂²×C₈	—	52	2	no	—
1166	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1168	C₄⋊Q₈	—	13	1	no	—
1169	C₄⋊Q₈	—	13	1	no	—
1170	C₄⋊Q₈	—	26	1	no	—
1171	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1172	#127	—	26	1	no	—
1173	#127	C₂²×D₁₃	1	1	yes	characteristic
1174	#126	—	26	1	no	—
1175	#126	—	26	1	no	—
1176	#126	—	26	1	no	—
1177	#126	—	26	1	no	—
1178	#126	—	26	1	no	—
1179	#126	—	26	1	no	—
1180	#125	—	13	1	no	—
1181	#125	—	13	1	no	—
1182	#125	—	26	1	no	—
1183	#125	—	26	1	no	—
1184	#125	—	26	1	no	—
1185	#124	—	26	1	no	—
1186	#124	—	26	1	no	—
1187	#124	—	26	1	no	—
1188	#124	—	26	1	no	—
1189	#124	—	26	1	no	—
1190	#124	C₂²×D₁₃	1	1	yes	characteristic
1191	#124	C₂²×D₁₃	1	1	yes	characteristic
1192	#123	—	26	1	no	—
1193	#123	—	26	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	#123	—	26	1	no	—
1197	#123	—	26	1	no	—
1198	#123	—	26	1	no	—
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	1	no	—
1206	C₂²⋊Q₈	—	13	1	no	—
1207	C₂²⋊Q₈	—	13	1	no	—
1208	C₂²⋊Q₈	—	13	1	no	—
1209	C₂²⋊Q₈	—	13	1	no	—
1210	C₂²⋊Q₈	—	13	1	no	—
1211	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	13	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	13	1	no	—
1230	#121	—	13	1	no	—
1231	#121	—	13	1	no	—
1232	#121	—	13	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	—	26	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#120	—	26	1	no	—
1245	#120	—	26	1	no	—
1246	#120	—	26	1	no	—
1247	#120	—	26	1	no	—
1248	#120	—	26	1	no	—
1249	#120	—	26	1	no	—
1250	#120	—	26	1	no	—
1251	#120	—	26	1	no	—
1252	C₄×Q₈	—	13	1	no	—
1253	C₄×Q₈	—	13	1	no	—
1254	C₄×Q₈	—	26	1	no	—
1255	C₄×Q₈	—	26	1	no	—
1256	C₄×Q₈	—	26	1	no	—
1257	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1258	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	13	1	no	—
1268	C₄×D₄	—	13	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	13	1	no	—
1271	C₄×D₄	—	13	1	no	—
1272	C₄×D₄	—	13	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1291	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1292	#117	—	2	1	no	—
1293	#117	—	13	1	no	—
1294	#117	—	13	1	no	—
1295	#117	—	13	1	no	—
1296	#117	—	13	1	no	—
1297	#117	—	13	1	no	—
1298	#117	—	13	1	no	—
1299	#117	—	13	1	no	—
1300	#117	—	26	1	no	—
1301	#117	—	26	1	no	—
1302	#117	—	26	1	no	—
1303	#117	—	26	1	no	—
1304	#117	—	26	1	no	—
1305	#117	—	26	1	no	—
1306	#117	—	26	1	no	—
1307	#117	—	26	1	no	—
1308	#117	C₂²×D₁₃	1	1	yes	characteristic
1309	C₂×C₄⋊C₄	—	13	1	no	—
1310	C₂×C₄⋊C₄	—	13	1	no	—
1311	C₂×C₄⋊C₄	—	13	1	no	—
1312	C₂×C₄⋊C₄	—	13	1	no	—
1313	C₂×C₄⋊C₄	—	13	1	no	—
1314	C₂×C₄⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	13	1	no	—
1316	C₂×C₂²⋊C₄	—	13	1	no	—
1317	C₂×C₂²⋊C₄	—	26	1	no	—
1318	C₂×C₂²⋊C₄	—	26	1	no	—
1319	C₂×C₂²⋊C₄	—	26	1	no	—
1320	C₂×C₂²⋊C₄	—	26	1	no	—
1321	C₂×C₄²	—	2	1	no	—
1322	C₂×C₄²	—	26	1	no	—
1323	C₂×C₄²	—	26	1	no	—
1324	C₂×C₄²	—	26	1	no	—
1325	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1326	#107	—	13	1	no	—
1327	#107	—	13	1	no	—
1328	#107	—	13	1	no	—
1329	#107	—	13	1	no	—
1330	#107	—	13	1	no	—
1331	#107	—	13	1	no	—
1332	#106	—	13	1	no	—
1333	#106	—	13	1	no	—
1334	#106	—	13	1	no	—
1335	#106	—	13	1	no	—
1336	#106	—	13	1	no	—
1337	#106	—	13	1	no	—
1338	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1339	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1340	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1341	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#103	C₂²×D₁₃	1	1	yes	characteristic
1360	#103	C₂²×D₁₃	1	1	yes	characteristic
1361	#103	C₂²×D₁₃	1	1	yes	characteristic
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	C₂²×D₁₃	1	1	yes	characteristic
1379	#102	C₂²×D₁₃	1	1	yes	characteristic
1380	#102	C₂²×D₁₃	1	1	yes	characteristic
1381	#102	C₂²×D₁₃	1	1	yes	characteristic
1382	C₂²⋊C₈	—	13	1	no	—
1383	C₂²⋊C₈	—	13	1	no	—
1384	C₂²⋊C₈	—	13	1	no	—
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	#97	—	13	1	no	—
1391	#97	—	13	1	no	—
1392	#97	—	13	1	no	—
1393	#97	—	13	1	no	—
1394	C₂×C₁₃	—	2	2	no	—
1395	C₂×C₁₃	—	8	1	no	—
1396	C₂×C₁₃	—	8	1	no	—
1397	C₂×C₁₃	—	8	1	no	—
1398	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1399	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1400	C₂×C₁₃	#3584	1	1	yes	characteristic
1401	D₁₃	—	2	2	no	—
1402	D₁₃	—	4	1	no	—
1403	D₁₃	—	4	1	no	—
1404	D₁₃	—	4	1	no	—
1405	D₁₃	—	4	2	no	—
1406	C₂⁴	—	13	1	no	—
1407	C₂⁴	—	13	1	no	—
1408	C₂⁴	—	26	1	no	—
1409	C₂⁴	—	26	1	no	—
1410	#41	—	2	2	no	—
1411	#41	—	2	2	no	—
1412	#41	—	2	2	no	—
1413	#41	—	2	2	no	—
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	13	4	no	—
1417	#41	—	26	2	no	—
1418	#41	—	26	2	no	—
1419	#41	—	26	2	no	—
1420	#41	—	26	2	no	—
1421	#41	—	26	2	no	—
1422	#41	—	52	4	no	—
1423	#41	—	52	4	no	—
1424	#41	—	52	4	no	—
1425	#41	—	52	1	no	—
1426	#41	—	52	1	no	—
1427	#41	—	52	4	no	—
1428	#41	—	52	4	no	—
1429	#41	—	52	1	no	—
1430	#41	—	52	1	no	—
1431	C₂×Q₈	—	13	1	no	—
1432	C₂×Q₈	—	26	1	no	—
1433	C₂×Q₈	—	26	1	no	—
1434	C₂×Q₈	—	26	1	no	—
1435	C₂×Q₈	—	26	1	no	—
1436	C₂×Q₈	—	26	2	no	—
1437	C₂×Q₈	—	26	2	no	—
1438	C₂×Q₈	—	52	1	no	—
1439	C₂×Q₈	—	52	1	no	—
1440	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1442	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	13	1	no	—
1449	C₂×D₄	—	13	1	no	—
1450	C₂×D₄	—	13	1	no	—
1451	C₂×D₄	—	13	1	no	—
1452	C₂×D₄	—	13	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	2	no	—
1458	C₂×D₄	—	26	2	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	1	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	26	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	52	2	no	—
1471	C₂×D₄	—	52	1	no	—
1472	C₂×D₄	—	52	1	no	—
1473	C₂×D₄	—	52	4	no	—
1474	C₂×D₄	—	52	4	no	—
1475	C₂×D₄	—	52	4	no	—
1476	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1478	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	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	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	2	no	—
1506	C₂²×C₄	—	26	2	no	—
1507	C₂²×C₄	—	26	2	no	—
1508	C₂²×C₄	—	26	2	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	52	4	no	—
1512	C₂²×C₄	—	52	4	no	—
1513	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1514	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1516	Q₁₆	—	4	1	no	—
1517	Q₁₆	—	4	1	no	—
1518	Q₁₆	—	26	2	no	—
1519	SD₁₆	—	4	1	no	—
1520	SD₁₆	—	4	1	no	—
1521	SD₁₆	—	4	1	no	—
1522	SD₁₆	—	4	1	no	—
1523	SD₁₆	—	26	2	no	—
1524	SD₁₆	—	26	2	no	—
1525	D₈	—	4	1	no	—
1526	D₈	—	4	1	no	—
1527	D₈	—	26	2	no	—
1528	M₁₆	—	52	1	no	—
1529	M₁₆	—	52	1	no	—
1530	M₁₆	—	52	1	no	—
1531	M₁₆	—	52	1	no	—
1532	C₂×C₈	—	2	2	no	—
1533	C₂×C₈	—	2	2	no	—
1534	C₂×C₈	—	13	1	no	—
1535	C₂×C₈	—	13	1	no	—
1536	C₂×C₈	—	13	1	no	—
1537	C₂×C₈	—	13	1	no	—
1538	C₂×C₈	—	26	2	no	—
1539	C₂×C₈	—	26	2	no	—
1540	C₂×C₈	—	52	1	no	—
1541	C₂×C₈	—	52	1	no	—
1542	C₂×C₈	—	52	1	no	—
1543	C₂×C₈	—	52	1	no	—
1544	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1545	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1547	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	13	1	no	—
1553	C₄⋊C₄	—	13	1	no	—
1554	C₄⋊C₄	—	13	1	no	—
1555	C₄⋊C₄	—	13	1	no	—
1556	C₄⋊C₄	—	13	1	no	—
1557	C₄⋊C₄	—	13	1	no	—
1558	C₄⋊C₄	—	13	1	no	—
1559	C₄⋊C₄	—	13	1	no	—
1560	C₄⋊C₄	—	13	1	no	—
1561	C₄⋊C₄	—	13	1	no	—
1562	C₄⋊C₄	—	26	1	no	—
1563	C₄⋊C₄	—	26	1	no	—
1564	C₄⋊C₄	—	26	1	no	—
1565	C₄⋊C₄	—	26	1	no	—
1566	C₄⋊C₄	—	26	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	13	1	no	—
1592	C₂²⋊C₄	—	13	1	no	—
1593	C₂²⋊C₄	—	13	1	no	—
1594	C₂²⋊C₄	—	13	1	no	—
1595	C₂²⋊C₄	—	13	1	no	—
1596	C₂²⋊C₄	—	13	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	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	C₄²	—	2	1	no	—
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	26	1	no	—
1628	C₄²	—	26	1	no	—
1629	C₄²	—	26	1	no	—
1630	C₄²	—	26	1	no	—
1631	C₄²	—	26	1	no	—
1632	C₄²	—	26	1	no	—
1633	C₄²	—	26	1	no	—
1634	C₄²	—	26	1	no	—
1635	C₄²	—	26	1	no	—
1636	C₄²	D₄×D₁₃	1	1	yes	characteristic
1637	C₄²	D₄×D₁₃	1	1	yes	characteristic
1638	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1639	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1640	C₁₃	#61141	1	1	yes	characteristic, complemented, Sylow
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	13	1	no	—
1645	C₂³	—	13	1	no	—
1646	C₂³	—	13	1	no	—
1647	C₂³	—	13	1	no	—
1648	C₂³	—	26	2	no	—
1649	C₂³	—	26	2	no	—
1650	C₂³	—	26	1	no	—
1651	C₂³	—	26	2	no	—
1652	C₂³	—	52	1	no	—
1653	C₂³	—	52	1	no	—
1654	C₂³	—	52	1	no	—
1655	C₂³	—	52	2	no	—
1656	C₂³	—	52	2	no	—
1657	C₂³	—	52	2	no	—
1658	C₂³	—	52	2	no	—
1659	C₂³	—	104	1	no	—
1660	C₂³	—	104	1	no	—
1661	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	13	2	no	—
1669	Q₈	—	26	1	no	—
1670	Q₈	—	52	2	no	—
1671	Q₈	—	52	2	no	—
1672	Q₈	—	52	2	no	—
1673	Q₈	—	104	1	no	—
1674	D₄	—	2	1	no	—
1675	D₄	—	2	1	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	4	2	no	—
1682	D₄	—	4	2	no	—
1683	D₄	—	4	2	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	13	2	no	—
1686	D₄	—	26	2	no	—
1687	D₄	—	26	2	no	—
1688	D₄	—	26	4	no	—
1689	D₄	—	26	1	no	—
1690	D₄	—	52	1	no	—
1691	D₄	—	52	1	no	—
1692	D₄	—	52	2	no	—
1693	D₄	—	52	2	no	—
1694	D₄	—	52	2	no	—
1695	D₄	—	52	2	no	—
1696	D₄	—	52	2	no	—
1697	D₄	—	52	2	no	—
1698	D₄	—	52	2	no	—
1699	D₄	—	52	2	no	—
1700	D₄	—	52	2	no	—
1701	D₄	—	52	2	no	—
1702	D₄	—	104	1	no	—
1703	D₄	—	104	1	no	—
1704	D₄	—	104	1	no	—
1705	D₄	—	104	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	4	1	no	—
1712	C₂×C₄	—	4	1	no	—
1713	C₂×C₄	—	4	2	no	—
1714	C₂×C₄	—	4	2	no	—
1715	C₂×C₄	—	4	2	no	—
1716	C₂×C₄	—	4	2	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	—	13	1	no	—
1719	C₂×C₄	—	13	1	no	—
1720	C₂×C₄	—	13	1	no	—
1721	C₂×C₄	—	13	1	no	—
1722	C₂×C₄	—	26	2	no	—
1723	C₂×C₄	—	26	2	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	2	no	—
1726	C₂×C₄	—	26	2	no	—
1727	C₂×C₄	—	26	2	no	—
1728	C₂×C₄	—	26	2	no	—
1729	C₂×C₄	—	26	4	no	—
1730	C₂×C₄	—	26	1	no	—
1731	C₂×C₄	—	26	1	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	26	1	no	—
1734	C₂×C₄	—	26	1	no	—
1735	C₂×C₄	—	26	1	no	—
1736	C₂×C₄	—	26	1	no	—
1737	C₂×C₄	—	26	1	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	52	2	no	—
1745	C₂×C₄	—	52	2	no	—
1746	C₂×C₄	—	52	2	no	—
1747	C₂×C₄	—	52	2	no	—
1748	C₂×C₄	—	52	2	no	—
1749	C₂×C₄	—	52	2	no	—
1750	C₂×C₄	—	52	2	no	—
1751	C₂×C₄	—	52	2	no	—
1752	C₂×C₄	—	52	2	no	—
1753	C₂×C₄	—	104	1	no	—
1754	C₂×C₄	—	104	1	no	—
1755	C₂×C₄	—	104	1	no	—
1756	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1757	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1758	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1759	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1760	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1761	C₂×C₄	#88251	1	2	yes	—
1762	C₂×C₄	#41×D₁₃	1	2	yes	—
1763	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1764	C₈	—	2	1	no	—
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	26	1	no	—
1769	C₈	—	26	1	no	—
1770	C₈	—	26	1	no	—
1771	C₈	—	26	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	13	2	no	—
1784	C₂²	—	26	1	no	—
1785	C₂²	—	26	1	no	—
1786	C₂²	—	26	1	no	—
1787	C₂²	—	26	1	no	—
1788	C₂²	—	26	1	no	—
1789	C₂²	—	26	2	no	—
1790	C₂²	—	26	1	no	—
1791	C₂²	—	26	1	no	—
1792	C₂²	—	26	1	no	—
1793	C₂²	—	26	1	no	—
1794	C₂²	—	26	1	no	—
1795	C₂²	—	26	1	no	—
1796	C₂²	—	52	4	no	—
1797	C₂²	—	52	1	no	—
1798	C₂²	—	52	1	no	—
1799	C₂²	—	104	2	no	—
1800	C₂²	—	104	4	no	—
1801	C₂²	—	104	4	no	—
1802	C₂²	#11719317	1	2	yes	—
1803	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	26	1	no	—
1814	C₄	—	26	1	no	—
1815	C₄	—	26	1	no	—
1816	C₄	—	26	1	no	—
1817	C₄	—	26	2	no	—
1818	C₄	—	52	1	no	—
1819	C₄	—	52	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	—	52	1	no	—
1822	C₄	—	52	1	no	—
1823	C₄	—	52	1	no	—
1824	C₄	#11719317	1	2	yes	—
1825	C₄	C₂×#88251	1	1	yes	characteristic
1826	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	8	1	no	—
1829	C₂	—	8	1	no	—
1830	C₂	—	8	1	no	—
1831	C₂	—	26	2	no	—
1832	C₂	—	52	1	no	—
1833	C₂	—	52	1	no	—
1834	C₂	—	52	1	no	—
1835	C₂	—	52	2	no	—
1836	C₂	C₂×#11719317	1	1	yes	characteristic
1837	C₂	D₁₃×#575	1	1	yes	characteristic
1838	C₂	#13129605	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3035	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3035	D₁₃
hypocenter	C₁₃	#61141
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3035

Complements

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

N	H ≅ G/N	type
1. #13128400	C₂	semidirect
2. #13128322	C₂	semidirect
3. #13127029	C₂	semidirect
4. #13127014	C₂	semidirect
5. #13126999	C₂	semidirect
6. #13126984	C₂	semidirect
7. #13126969	C₂	semidirect
8. #13126954	C₂	semidirect
9. #13126939	C₂	semidirect
10. #13126924	C₂	semidirect
11. #13126909	C₂	semidirect
12. #13126894	C₂	semidirect
13. #13126879	C₂	semidirect
14. #13126864	C₂	semidirect
15. #13126849	C₂	semidirect
16. #13126834	C₂	semidirect
17. #13126819	C₂	semidirect
18. #13126804	C₂	semidirect
19. #13125181	C₂	semidirect
20. #13124747	C₂	semidirect
21. #13124747	C₂	semidirect
22. #13124626	C₂	semidirect
23. #13124441	C₂	semidirect
24. #13124413	C₂	semidirect
25. #13124050	C₂	semidirect
26. #13124050	C₂	semidirect
27. #13123634	C₂	semidirect
28. C₂×#11718497	C₂	semidirect
29. #13123351	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3035	C₂	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
37. C₄×C₁₃×#41	C₂²	semidirect
40. #11719533	C₂²	semidirect
41. #11719533	C₂²	semidirect
43. C₂²×#6094	C₂²	semidirect
44. C₂²×C₈×D₁₃	C₂²	semidirect
57. #11719289	C₂²	semidirect
59. #11719286	C₂²	semidirect
60. #11719284	C₂²	semidirect
61. #11719268	C₂²	semidirect
63. #11719263	C₂²	semidirect
66. #11719256	C₂²	semidirect
75. D₁₃×#117	C₂²	semidirect
76. D₁₃×#117	C₂²	semidirect
81. #11719175	C₂²	semidirect
82. C₁₃×#464	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#463	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#462	C₂²	semidirect
87. C₁₃×#461	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
89. C₁₃×#459	C₂²	semidirect
90. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
91. C₁₃×#416	C₂²	semidirect
92. C₁₃×#416	C₂²	semidirect
93. #11718894	C₂²	semidirect
94. #11718894	C₂²	semidirect
95. #11718894	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718850	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718849	C₂²	semidirect
101. #11718849	C₂²	semidirect
102. #11718848	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718835	C₂²	semidirect
107. #11718835	C₂²	semidirect
108. #11718835	C₂²	semidirect
109. #11718835	C₂²	semidirect
110. #11718834	C₂²	semidirect
111. #11718834	C₂²	semidirect
112. #11718833	C₂²	semidirect
113. #11718833	C₂²	semidirect
114. #11718832	C₂²	semidirect
115. #11718832	C₂²	semidirect
116. #11718832	C₂²	semidirect
117. #11718832	C₂²	semidirect
118. #11718831	C₂²	semidirect
119. #11718831	C₂²	semidirect
120. #11718830	C₂²	semidirect
121. #11718830	C₂²	semidirect
122. #11718820	C₂²	semidirect
123. #11718820	C₂²	semidirect
124. #11718819	C₂²	semidirect
125. #11718819	C₂²	semidirect
126. #11718818	C₂²	semidirect
127. #11718818	C₂²	semidirect
128. #11718817	C₂²	semidirect
129. #11718817	C₂²	semidirect
132. C₂×#88060	C₂²	semidirect
133. C₂×#88060	C₂²	semidirect
134. #11718767	C₂²	semidirect
135. #11718767	C₂²	semidirect
136. #11718743	C₂²	semidirect
137. #11718743	C₂²	semidirect
138. #11718732	C₂²	semidirect
139. #11718732	C₂²	semidirect
140. #11718716	C₂²	semidirect
141. #11718716	C₂²	semidirect
142. #11718716	C₂²	semidirect
143. #11718716	C₂²	semidirect
144. #11718691	C₂²	semidirect
145. #11718691	C₂²	semidirect
146. #11718687	C₂²	semidirect
147. #11718687	C₂²	semidirect
148. #11718679	C₂²	semidirect
149. #11718679	C₂²	semidirect
150. #11718675	C₂²	semidirect
151. #11718675	C₂²	semidirect
153. #11718659	C₂²	semidirect
154. C₂×#88043	C₂²	semidirect
155. #11718512	C₂²	semidirect
156. #11718511	C₂²	semidirect
157. #11718508	C₂²	semidirect
158. #11718508	C₂²	semidirect
159. #11718507	C₂²	semidirect
160. #11718503	C₂²	semidirect
163. #11718497	C₂²	semidirect
164. #11718497	C₂²	semidirect
165. #11718497	C₂²	semidirect
166. #11718497	C₂²	semidirect
167. #11718497	C₂²	semidirect
168. #11718497	C₂²	semidirect
169. #11718490	C₂²	semidirect
170. #11718490	C₂²	semidirect
171. #11718476	C₂²	semidirect
172. #11718476	C₂²	semidirect
173. #11718475	C₂²	semidirect
174. #11718475	C₂²	semidirect
175. #11718470	C₂²	semidirect
176. #11718470	C₂²	semidirect
177. #11718466	C₂²	semidirect
178. #11718466	C₂²	semidirect
179. #11718465	C₂²	semidirect
180. #11718465	C₂²	semidirect
181. #11718464	C₂²	semidirect
182. #11718464	C₂²	semidirect
183. #11718463	C₂²	semidirect
184. #11718463	C₂²	semidirect
185. D₁₃×#103	C₂²	semidirect
186. D₁₃×#103	C₂²	semidirect
187. #11718445	C₂²	semidirect
188. #11718445	C₂²	semidirect
189. #11718440	C₂²	semidirect
190. #11718440	C₂²	semidirect
191. #11718438	C₂²	semidirect
192. #11718438	C₂²	semidirect
193. #11718435	C₂²	semidirect
194. #11718435	C₂²	semidirect
195. #11718433	C₂²	semidirect
196. #11718433	C₂²	semidirect
197. #11718432	C₂²	semidirect
198. #11718432	C₂²	semidirect
199. #11718431	C₂²	semidirect
200. #11718431	C₂²	semidirect
201. D₁₃×#102	C₂²	semidirect
202. D₁₃×#102	C₂²	semidirect
559. #6127	#41	semidirect
746. #3035	D₁₃	semidirect
887. C₂×#135	C₂×D₁₃	semidirect
888. C₂×#135	C₂×D₁₃	semidirect
929. C₄×#41	C₂×D₁₃	semidirect
982. #464	C₂×D₁₃	semidirect
983. #464	C₂×D₁₃	semidirect
984. #463	C₂×D₁₃	semidirect
985. #463	C₂×D₁₃	semidirect
986. #462	C₂×D₁₃	semidirect
987. #461	C₂×D₁₃	semidirect
988. #460	C₂×D₁₃	semidirect
989. #459	C₂×D₁₃	semidirect
1025. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1046. #416	C₂×D₁₃	semidirect
1047. #416	C₂×D₁₃	semidirect
1640. C₁₃	#61141	semidirect

Maximal subgroups

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

subgroup	index
#13128400	2
#13128322	2
#13127029	2
#13127014	2
#13126999	2
#13126984	2
#13126969	2
#13126954	2
#13126939	2
#13126924	2
#13126909	2
#13126894	2
#13126879	2
#13126864	2
#13126849	2
#13126834	2
#13126819	2
#13126804	2
#13125181	2
#13124747	2
#13124626	2
#13124441	2
#13124413	2
#13124050	2
#13123634	2
C₂×#11718497	2
#13123351	2
D₁₃×#416	2
C₁₃×#3035	2
#61141	13