Subgroups — #16744932

Order 3328.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128454	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128392	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127912	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127776	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127677	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127658	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127357	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127275	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127199	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127028	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126938	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126886	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126796	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126718	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126666	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126550	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126388	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126345	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125561	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125543	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125005	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124992	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124978	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124964	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124951	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124939	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123847	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123652	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123638	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#529	C₂²	1	1	yes	characteristic
34	C₂×#88172	C₂²	1	1	yes	characteristic
35	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×#88158	C₂²	1	1	yes	characteristic
37	#11719437	C₂²	1	1	yes	characteristic, complemented
38	#11719432	C₂²	1	1	yes	characteristic
39	#11719431	C₂²	1	1	yes	characteristic
40	#11719426	C₂²	1	1	yes	characteristic, complemented
41	#11719413	—	2	1	no	—
42	#11719410	—	2	1	no	—
43	#11719399	C₂²	1	1	yes	characteristic
44	#11719398	—	2	1	no	—
45	#11719398	—	2	1	no	—
46	#11719395	C₂²	1	1	yes	characteristic
47	#11719381	C₂²	1	1	yes	characteristic
48	#11719376	C₂²	1	1	yes	characteristic
49	#11719366	—	2	1	no	—
50	#11719364	—	2	1	no	—
51	#11719346	—	2	1	no	—
52	#11719344	C₂²	1	1	yes	characteristic
53	#11719344	C₂²	1	1	yes	characteristic
54	#11719344	C₂²	1	1	yes	characteristic, complemented
55	#11719338	C₂²	1	1	yes	characteristic
56	#11719338	C₂²	1	1	yes	characteristic, complemented
57	#11719336	—	2	1	no	—
58	#11719336	C₂²	1	1	yes	characteristic
59	#11719321	C₂²	1	1	yes	characteristic
60	#11719317	C₂²	1	1	yes	characteristic
61	#11719285	C₂²	1	1	yes	characteristic
62	#11719285	C₂²	1	1	yes	characteristic, complemented
63	#11719283	—	2	1	no	—
64	#11719283	C₂²	1	1	yes	characteristic
65	C₄×#6131	—	2	1	no	—
66	C₄×#6131	C₂²	1	1	yes	characteristic
67	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
68	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
69	#11719262	—	2	1	no	—
70	#11719262	C₂²	1	1	yes	characteristic
71	#11719252	—	2	1	no	—
72	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
73	#11719233	—	2	1	no	—
74	#11719233	—	2	1	no	—
75	#11719233	—	2	1	no	—
76	D₁₃×#117	—	2	1	no	—
77	C₄×#6127	C₂²	1	1	yes	characteristic
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#497	C₂²	1	1	yes	characteristic
82	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#489	C₂²	1	1	yes	characteristic
84	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#465	C₂²	1	1	yes	characteristic
87	C₁₃×#465	C₂²	1	1	yes	characteristic
88	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#440	C₂²	1	1	yes	characteristic
91	C₁₃×#440	C₂²	1	1	yes	characteristic
92	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
93	#11718851	C₂²	1	1	yes	characteristic, complemented
94	#11718849	C₂²	1	1	yes	characteristic
95	#11718848	C₂²	1	1	yes	characteristic
96	#11718847	C₂²	1	1	yes	characteristic
97	#11718846	C₂²	1	1	yes	characteristic, complemented
98	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	#11718843	C₂²	1	1	yes	characteristic, complemented
100	#11718835	C₂²	1	1	yes	characteristic
101	#11718831	C₂²	1	1	yes	characteristic
102	#11718830	C₂²	1	1	yes	characteristic
103	#11718829	C₂²	1	1	yes	characteristic
104	#11718827	C₂²	1	1	yes	characteristic
105	#11718826	C₂²	1	1	yes	characteristic
106	#11718825	C₂²	1	1	yes	characteristic
107	#11718774	C₂²	1	1	yes	characteristic
108	#11718774	C₂²	1	1	yes	characteristic, complemented
109	#11718772	C₂²	1	1	yes	characteristic, complemented
110	#11718772	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
113	#11718767	C₂²	1	1	yes	characteristic, complemented
114	#11718752	C₂²	1	1	yes	characteristic, complemented
115	#11718751	C₂²	1	1	yes	characteristic, complemented
116	#11718745	C₂²	1	1	yes	characteristic
117	#11718744	C₂²	1	1	yes	characteristic
118	#11718727	C₂²	1	1	yes	characteristic, complemented
119	#11718724	C₂²	1	1	yes	characteristic, complemented
120	#11718718	C₂²	1	1	yes	characteristic
121	#11718715	C₂²	1	1	yes	characteristic
122	#11718708	C₂²	1	1	yes	characteristic
123	#11718708	C₂²	1	1	yes	characteristic
124	#11718708	C₂²	1	1	yes	characteristic, complemented
125	#11718706	C₂²	1	1	yes	characteristic, complemented
126	#11718706	C₂²	1	1	yes	characteristic, complemented
127	#11718706	C₂²	1	1	yes	characteristic, complemented
128	#11718698	C₂²	1	1	yes	characteristic
129	#11718696	C₂²	1	1	yes	characteristic
130	#11718691	C₂²	1	1	yes	characteristic, complemented
131	#11718691	C₂²	1	1	yes	characteristic, complemented
132	#11718691	C₂²	1	1	yes	characteristic, complemented
133	#11718687	C₂²	1	1	yes	characteristic
134	#11718687	C₂²	1	1	yes	characteristic
135	#11718687	C₂²	1	1	yes	characteristic, complemented
136	#11718679	C₂²	1	1	yes	characteristic
137	#11718675	C₂²	1	1	yes	characteristic
138	#11718587	C₂²	1	1	yes	characteristic, complemented
139	#11718552	C₂²	1	1	yes	characteristic
140	#11718550	C₂²	1	1	yes	characteristic
141	#11718547	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718543	C₂²	1	1	yes	characteristic
144	D₁₃×#107	C₂²	1	1	yes	characteristic
145	#11718539	C₂²	1	1	yes	characteristic, complemented
146	#11718538	C₂²	1	1	yes	characteristic, complemented
147	#11718532	C₂²	1	1	yes	characteristic
148	#11718527	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic
150	#11718523	C₂²	1	1	yes	characteristic
151	#11718522	C₂²	1	1	yes	characteristic, complemented
152	#11718517	C₂²	1	1	yes	characteristic, complemented
153	#11718515	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic
155	#11718480	C₂²	1	1	yes	characteristic
156	#11718480	C₂²	1	1	yes	characteristic
157	#11718478	C₂²	1	1	yes	characteristic
158	#11718477	C₂²	1	1	yes	characteristic, complemented
159	#11718476	C₂²	1	1	yes	characteristic, complemented
160	#11718474	C₂²	1	1	yes	characteristic
161	#11718472	C₂²	1	1	yes	characteristic
162	#11718469	C₂²	1	1	yes	characteristic
163	#11718469	C₂²	1	1	yes	characteristic, complemented
164	#11718468	C₂²	1	1	yes	characteristic
165	#11718466	C₂²	1	1	yes	characteristic
166	#11718466	C₂²	1	1	yes	characteristic
167	#11718464	C₂²	1	1	yes	characteristic
168	#11718463	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic
170	#11718461	C₂²	1	1	yes	characteristic, complemented
171	#11718460	C₂²	1	1	yes	characteristic, complemented
172	#11718460	C₂²	1	1	yes	characteristic, complemented
173	#11718458	C₂²	1	1	yes	characteristic, complemented
174	#11718456	C₂²	1	1	yes	characteristic, complemented
175	#11718454	C₂²	1	1	yes	characteristic, complemented
176	#11718452	C₂²	1	1	yes	characteristic, complemented
177	#11718451	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic
179	#11718443	C₂²	1	1	yes	characteristic
180	#11718438	C₂²	1	1	yes	characteristic
181	#11718434	C₂²	1	1	yes	characteristic
182	D₁₃×#102	C₂²	1	1	yes	characteristic
183	#11718429	C₂²	1	1	yes	characteristic
184	#11718428	C₂²	1	1	yes	characteristic
185	#11718424	C₂²	1	1	yes	characteristic
186	#11718418	C₂²	1	1	yes	characteristic
187	#11718377	C₂²	1	1	yes	characteristic, complemented
188	#11718377	C₂²	1	1	yes	characteristic, complemented
189	#11718372	C₂²	1	1	yes	characteristic
190	#11718372	C₂²	1	1	yes	characteristic
191	#11718371	C₂²	1	1	yes	characteristic
192	#11718371	C₂²	1	1	yes	characteristic
193	#11718371	C₂²	1	1	yes	characteristic, complemented
194	#11718371	C₂²	1	1	yes	characteristic, complemented
195	#11718368	C₂²	1	1	yes	characteristic, complemented
196	#11718367	C₂²	1	1	yes	characteristic
197	#11718367	C₂²	1	1	yes	characteristic
198	#11718366	C₂²	1	1	yes	characteristic
199	#11718366	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×#97	C₂²	1	1	yes	characteristic
201	#11718362	C₂²	1	1	yes	characteristic, complemented
202	#11718362	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6131	—	2	1	no	—
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×#6127	D₄	1	1	yes	characteristic
209	C₂×#6127	C₂³	1	1	yes	characteristic
210	C₂×#6127	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#125	—	2	1	no	—
222	C₁₃×#125	C₂³	1	1	yes	characteristic
223	C₁₃×#124	C₂³	1	1	yes	characteristic
224	C₁₃×#123	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	—	2	1	no	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	—	2	1	no	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	1	no	—
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	#88201	C₂³	1	1	yes	characteristic
240	#88201	C₂³	1	1	yes	characteristic
241	#88200	—	2	1	no	—
242	#88200	C₂³	1	1	yes	characteristic
243	#88200	C₂³	1	1	yes	characteristic
244	#88200	C₂³	1	1	yes	characteristic
245	Q₈×Dic₁₃	—	2	1	no	—
246	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	#88198	—	2	1	no	—
250	#88198	C₂³	1	1	yes	characteristic
251	C₂×#6107	C₂³	1	1	yes	characteristic
252	C₂×#6107	C₂³	1	1	yes	characteristic
253	C₂×#6107	C₂³	1	1	yes	characteristic
254	C₂×#6106	C₂³	1	1	yes	characteristic
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	#88193	—	2	1	no	—
258	#88192	—	2	1	no	—
259	#88192	C₂³	1	1	yes	characteristic
260	#88191	—	2	1	no	—
261	#88190	—	2	1	no	—
262	#88190	C₂³	1	1	yes	characteristic
263	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×#6105	C₂³	1	1	yes	characteristic
265	C₂×#6104	C₂³	1	1	yes	characteristic
266	C₄×C₂²⋊D₁₃	—	2	1	no	—
267	C₄×C₂²⋊D₁₃	—	2	1	no	—
268	C₄×C₂²⋊D₁₃	—	2	1	no	—
269	C₄×C₂²⋊D₁₃	—	2	1	no	—
270	C₄×C₂²⋊D₁₃	—	2	1	no	—
271	C₄×C₂²⋊D₁₃	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
273	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
275	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
276	#88180	—	2	1	no	—
277	#88180	D₄	1	1	yes	characteristic
278	#88180	C₂³	1	1	yes	characteristic
279	#88180	C₂³	1	1	yes	characteristic
280	#88172	—	2	4	no	—
281	SD₁₆×D₁₃	—	2	4	no	—
282	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
283	#88158	—	2	4	no	—
284	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
285	C₂×#6095	C₂³	1	1	yes	characteristic
286	C₂×#6095	C₂³	1	1	yes	characteristic
287	C₂×#6094	C₂³	1	1	yes	characteristic
288	C₂×#6094	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
291	#88152	—	2	1	no	—
292	#88152	—	2	1	no	—
293	#88152	—	2	1	no	—
294	#88152	—	2	1	no	—
295	#88152	—	2	1	no	—
296	#88151	—	2	1	no	—
297	#88151	—	2	1	no	—
298	#88151	C₂³	1	1	yes	characteristic
299	#88151	C₂³	1	1	yes	characteristic
300	#88150	—	2	1	no	—
301	#88150	—	2	1	no	—
302	#88150	—	2	1	no	—
303	#88150	—	2	1	no	—
304	#88150	—	2	1	no	—
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88149	C₂³	1	1	yes	characteristic
308	#88149	C₂³	1	1	yes	characteristic
309	#88148	—	2	1	no	—
310	#88148	—	2	1	no	—
311	#88148	—	2	1	no	—
312	#88148	—	2	1	no	—
313	#88148	—	2	1	no	—
314	#88148	—	2	1	no	—
315	#88147	—	2	1	no	—
316	#88147	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	C₂³	1	1	yes	characteristic
320	#88147	C₂³	1	1	yes	characteristic
321	#88146	—	2	1	no	—
322	#88146	—	2	1	no	—
323	#88146	—	2	1	no	—
324	#88146	—	2	1	no	—
325	#88146	—	2	1	no	—
326	#88146	—	2	1	no	—
327	#88146	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	—	2	1	no	—
329	C₄⋊C₄×D₁₃	—	2	1	no	—
330	C₄⋊C₄×D₁₃	—	2	1	no	—
331	C₄⋊C₄×D₁₃	—	2	1	no	—
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	#88144	—	2	1	no	—
336	#88144	C₂³	1	1	yes	characteristic
337	#88144	C₂³	1	1	yes	characteristic
338	#88144	C₂³	1	1	yes	characteristic
339	#88143	—	2	1	no	—
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88143	—	2	1	no	—
343	#88143	—	2	1	no	—
344	#88143	—	2	1	no	—
345	#88142	—	2	1	no	—
346	#88142	C₂³	1	1	yes	characteristic
347	#88141	—	2	1	no	—
348	#88141	—	2	1	no	—
349	#88141	C₂³	1	1	yes	characteristic
350	#88141	C₂³	1	1	yes	characteristic
351	#88139	—	2	1	no	—
352	#88139	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88138	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88137	—	2	1	no	—
362	#88137	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88136	—	2	1	no	—
366	#88135	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	C₂²⋊C₄×D₁₃	—	2	1	no	—
369	C₂²⋊C₄×D₁₃	—	2	1	no	—
370	#88133	—	2	1	no	—
371	#88133	—	2	1	no	—
372	#88133	—	2	1	no	—
373	#88133	—	2	1	no	—
374	#88133	—	2	1	no	—
375	#88133	—	2	1	no	—
376	#88132	—	2	1	no	—
377	#88131	—	2	1	no	—
378	#88131	—	2	1	no	—
379	C₄×D₅₂	—	2	1	no	—
380	C₄×D₅₂	—	2	1	no	—
381	C₄×D₅₂	—	2	1	no	—
382	C₄×D₅₂	D₄	1	1	yes	characteristic
383	C₄×D₅₂	C₂³	1	1	yes	characteristic
384	C₄×D₅₂	C₂³	1	1	yes	characteristic
385	C₄×D₅₂	C₂³	1	1	yes	characteristic
386	C₄×D₅₂	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	#88126	—	2	1	no	—
389	#88126	—	2	1	no	—
390	#88126	—	2	1	no	—
391	#88126	—	2	1	no	—
392	#88126	—	2	1	no	—
393	#88126	D₄	1	1	yes	characteristic
394	#88126	D₄	1	1	yes	characteristic
395	C₄²×D₁₃	—	2	1	no	—
396	C₄²×D₁₃	—	2	1	no	—
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	—	2	1	no	—
400	C₄²×D₁₃	C₂³	1	1	yes	characteristic
401	C₄²×D₁₃	C₂³	1	1	yes	characteristic
402	C₄×Dic₂₆	—	2	1	no	—
403	C₄×Dic₂₆	—	2	1	no	—
404	C₄×Dic₂₆	—	2	1	no	—
405	C₄×Dic₂₆	D₄	1	1	yes	characteristic
406	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#97	C₂³	1	1	yes	characteristic
424	C₁₃×#97	C₂³	1	1	yes	characteristic
425	C₁₃×#97	C₂³	1	1	yes	characteristic
426	C₁₃×#97	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	C₂²⋊#1055	C₂³	1	1	yes	characteristic
436	C₂²⋊#1055	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88060	C₂³	1	1	yes	characteristic
442	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88058	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88056	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88055	C₂³	1	1	yes	characteristic
454	#88055	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	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	C₄⋊#1055	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#61455	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×D₄×C₁₃	—	2	1	no	—
488	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₁₃	—	2	1	no	—
490	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×C₂²⋊D₁₃	—	2	1	no	—
494	C₂×C₂²⋊D₁₃	—	2	1	no	—
495	C₂×C₂²⋊D₁₃	—	2	1	no	—
496	C₂×C₂²⋊D₁₃	—	2	1	no	—
497	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂²×Dic₁₃	—	2	1	no	—
500	#6131	—	2	2	no	—
501	#6131	—	4	1	no	—
502	#6131	—	4	4	no	—
503	Q₈×D₁₃	—	2	2	no	—
504	Q₈×D₁₃	—	2	2	no	—
505	Q₈×D₁₃	—	4	1	no	—
506	Q₈×D₁₃	—	4	1	no	—
507	D₄×D₁₃	—	2	2	no	—
508	D₄×D₁₃	—	4	1	no	—
509	#6127	—	2	2	no	—
510	#6127	—	2	2	no	—
511	#6127	—	4	1	no	—
512	#6127	—	4	1	no	—
513	#6127	—	4	2	no	—
514	C₂×D₅₂	—	2	1	no	—
515	C₂×D₅₂	—	2	1	no	—
516	C₂×D₅₂	—	2	1	no	—
517	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
518	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
519	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
520	C₂×C₄×D₁₃	—	2	1	no	—
521	C₂×C₄×D₁₃	—	2	1	no	—
522	C₂×C₄×D₁₃	—	2	1	no	—
523	C₂×C₄×D₁₃	—	2	1	no	—
524	C₂×C₄×D₁₃	—	2	1	no	—
525	C₂×C₄×D₁₃	—	2	1	no	—
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	4	4	no	—
535	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×Dic₂₆	—	2	1	no	—
542	C₂×Dic₂₆	—	2	1	no	—
543	C₂×Dic₂₆	—	2	1	no	—
544	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
545	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
546	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
547	C₁₃×Q₁₆	—	2	2	no	—
548	C₁₃×Q₁₆	—	4	1	no	—
549	C₁₃×SD₁₆	—	2	2	no	—
550	C₁₃×SD₁₆	—	4	1	no	—
551	C₂×C₈×C₁₃	—	2	2	no	—
552	C₂×C₈×C₁₃	—	4	1	no	—
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₁₃×C₂²⋊C₄	—	2	1	no	—
574	C₁₃×C₂²⋊C₄	—	2	1	no	—
575	C₁₃×C₂²⋊C₄	—	2	1	no	—
576	C₁₃×C₂²⋊C₄	—	2	1	no	—
577	C₁₃×C₂²⋊C₄	—	2	1	no	—
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₄²×C₁₃	—	2	1	no	—
580	C₄²×C₁₃	—	2	1	no	—
581	C₄²×C₁₃	—	2	1	no	—
582	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
583	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
584	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂²⋊Dic₁₃	—	2	1	no	—
587	C₂²⋊Dic₁₃	—	2	1	no	—
588	C₂²⋊Dic₁₃	—	2	1	no	—
589	C₂²⋊Dic₁₃	—	2	1	no	—
590	C₂²⋊Dic₁₃	—	2	1	no	—
591	C₂²⋊Dic₁₃	—	2	1	no	—
592	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
593	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
594	#6107	—	2	2	no	—
595	#6107	—	4	1	no	—
596	#6107	—	4	1	no	—
597	#6106	—	2	2	no	—
598	#6106	—	2	2	no	—
599	#6106	—	4	1	no	—
600	#6105	—	2	2	no	—
601	#6104	—	4	1	no	—
602	#6103	—	2	1	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	C₂×D₄	1	1	yes	characteristic
621	#6103	C₂×D₄	1	1	yes	characteristic
622	#6103	C₂×D₄	1	1	yes	characteristic
623	#6103	C₂×D₄	1	1	yes	characteristic
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	C₂×D₄	1	1	yes	characteristic
657	#6101	C₂×D₄	1	1	yes	characteristic
658	#6101	C₂×D₄	1	1	yes	characteristic
659	#6101	C₂×D₄	1	1	yes	characteristic
660	C₄×Dic₁₃	—	2	1	no	—
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	—	2	1	no	—
663	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₂×#1055	C₂⁴	1	1	yes	characteristic
679	C₂×#1055	C₂⁴	1	1	yes	characteristic
680	C₂×#1055	C₂⁴	1	1	yes	characteristic
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	Dic₅₂	—	2	2	no	—
683	D₁₀₄	—	2	2	no	—
684	#6095	—	2	2	no	—
685	#6095	#41	1	4	yes	complemented
686	#6094	—	2	2	no	—
687	#6094	—	4	1	no	—
688	C₈×D₁₃	—	2	2	no	—
689	C₈×D₁₃	—	4	1	no	—
690	#3482	—	13	1	no	—
691	#3475	—	13	1	no	—
692	#3402	—	13	1	no	—
693	#3388	—	13	1	no	—
694	#3377	—	13	1	no	—
695	#3376	—	13	1	no	—
696	#3348	—	13	1	no	—
697	#3343	—	13	1	no	—
698	#3336	—	13	1	no	—
699	#3321	—	13	1	no	—
700	#3315	—	13	1	no	—
701	#3312	—	13	1	no	—
702	#3306	—	13	1	no	—
703	#3300	—	13	1	no	—
704	#3296	—	13	1	no	—
705	#3282	—	13	1	no	—
706	#3269	—	13	1	no	—
707	#3266	—	13	1	no	—
708	#3183	—	13	1	no	—
709	#3181	—	13	1	no	—
710	#3181	D₁₃	1	1	yes	characteristic, complemented
711	#3117	—	13	1	no	—
712	#3116	—	13	1	no	—
713	#3114	—	13	1	no	—
714	#3113	—	13	1	no	—
715	#3111	—	13	1	no	—
716	#3111	—	13	1	no	—
717	#2970	—	13	1	no	—
718	C₄×#137	—	13	1	no	—
719	#2943	—	13	1	no	—
720	C₂×#440	—	13	1	no	—
721	C₂³×C₁₃	—	2	1	no	—
722	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
723	C₂²×D₁₃	—	2	1	no	—
724	C₂²×D₁₃	—	2	1	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	2	no	—
727	C₂²×D₁₃	—	8	1	no	—
728	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	4	2	no	—
737	D₄×C₁₃	—	2	1	no	—
738	D₄×C₁₃	—	2	1	no	—
739	D₄×C₁₃	—	8	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	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	4	1	no	—
750	C₂×C₄×C₁₃	—	4	1	no	—
751	C₂×C₄×C₁₃	—	4	2	no	—
752	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
758	C₂²⋊D₁₃	—	2	2	no	—
759	C₂²⋊D₁₃	—	4	1	no	—
760	C₂²⋊D₁₃	—	4	2	no	—
761	C₂²⋊D₁₃	—	4	2	no	—
762	C₂²⋊D₁₃	—	4	2	no	—
763	C₂²⋊D₁₃	—	8	1	no	—
764	C₂×Dic₁₃	—	2	1	no	—
765	C₂×Dic₁₃	—	2	1	no	—
766	C₂×Dic₁₃	—	2	1	no	—
767	C₂×Dic₁₃	—	2	1	no	—
768	C₂×Dic₁₃	—	2	1	no	—
769	C₂×Dic₁₃	—	2	1	no	—
770	C₂×Dic₁₃	—	4	2	no	—
771	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
777	D₅₂	—	2	2	no	—
778	D₅₂	—	2	1	no	—
779	D₅₂	—	2	1	no	—
780	D₅₂	—	2	1	no	—
781	D₅₂	—	4	2	no	—
782	D₅₂	—	4	2	no	—
783	D₅₂	—	4	2	no	—
784	D₅₂	C₂×#41	1	2	yes	—
785	C₄×D₁₃	—	2	2	no	—
786	C₄×D₁₃	—	2	1	no	—
787	C₄×D₁₃	—	2	1	no	—
788	C₄×D₁₃	—	2	1	no	—
789	C₄×D₁₃	—	2	1	no	—
790	C₄×D₁₃	—	4	1	no	—
791	C₄×D₁₃	—	4	1	no	—
792	C₄×D₁₃	—	4	1	no	—
793	C₄×D₁₃	—	4	2	no	—
794	C₄×D₁₃	—	4	2	no	—
795	C₄×D₁₃	—	4	2	no	—
796	C₄×D₁₃	—	4	2	no	—
797	C₄×D₁₃	—	4	2	no	—
798	C₄×D₁₃	—	4	2	no	—
799	C₄×D₁₃	—	4	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	4	2	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	8	1	no	—
806	C₄×D₁₃	—	8	1	no	—
807	Dic₂₆	—	2	1	no	—
808	Dic₂₆	—	2	1	no	—
809	Dic₂₆	—	2	1	no	—
810	Dic₂₆	—	4	1	no	—
811	Dic₂₆	—	4	2	no	—
812	Dic₂₆	—	4	2	no	—
813	Dic₂₆	—	8	1	no	—
814	Dic₂₆	C₂×#41	1	2	yes	—
815	C₈×C₁₃	—	2	1	no	—
816	C₈×C₁₃	—	2	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	C₂×#41	1	2	yes	—
819	#1055	—	2	1	no	—
820	#1055	—	2	1	no	—
821	#1055	—	2	1	no	—
822	#1055	—	2	1	no	—
823	C₂×#137	—	13	1	no	—
824	C₂×#135	—	13	1	no	—
825	C₂²×SD₁₆	—	13	1	no	—
826	#557	—	13	1	no	—
827	#556	—	13	1	no	—
828	#556	—	13	1	no	—
829	#556	—	26	1	no	—
830	#555	—	13	1	no	—
831	#554	—	13	1	no	—
832	#553	—	26	1	no	—
833	#552	—	13	1	no	—
834	#552	—	13	1	no	—
835	#552	—	13	1	no	—
836	#552	—	13	1	no	—
837	#552	—	26	1	no	—
838	#552	—	26	1	no	—
839	#552	—	26	1	no	—
840	#551	—	26	1	no	—
841	#551	—	26	1	no	—
842	D₄×Q₈	—	13	1	no	—
843	#548	—	13	1	no	—
844	#548	—	13	1	no	—
845	#547	—	13	1	no	—
846	#547	—	13	1	no	—
847	#547	—	26	1	no	—
848	#546	—	13	1	no	—
849	#546	—	13	1	no	—
850	#533	—	13	1	no	—
851	#533	—	26	1	no	—
852	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
853	#529	—	13	1	no	—
854	#529	—	13	1	no	—
855	#529	—	13	1	no	—
856	#529	—	26	1	no	—
857	#529	—	26	1	no	—
858	#529	—	26	1	no	—
859	#529	—	26	1	no	—
860	#529	C₂×D₁₃	1	1	yes	characteristic
861	#525	—	26	1	no	—
862	C₄×#41	—	13	1	no	—
863	C₄×#41	—	13	1	no	—
864	C₄×#41	—	13	1	no	—
865	C₄×#41	—	13	1	no	—
866	C₄×#41	—	26	1	no	—
867	C₂×C₄×Q₈	—	13	1	no	—
868	C₂×C₄×Q₈	—	13	1	no	—
869	C₂×C₄×D₄	—	13	1	no	—
870	C₂×#117	—	26	1	no	—
871	#501	—	13	1	no	—
872	#501	C₂×D₁₃	1	1	yes	characteristic, complemented
873	#499	—	13	1	no	—
874	#497	—	13	1	no	—
875	#497	C₂×D₁₃	1	1	yes	characteristic
876	#495	—	13	1	no	—
877	#491	—	13	1	no	—
878	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
879	#489	—	13	1	no	—
880	#489	C₂×D₁₃	1	1	yes	characteristic
881	#488	—	13	1	no	—
882	#488	—	13	1	no	—
883	#485	—	13	1	no	—
884	#485	—	13	1	no	—
885	#485	—	13	1	no	—
886	#485	—	13	1	no	—
887	#484	—	13	1	no	—
888	#483	—	13	1	no	—
889	#483	—	13	1	no	—
890	#483	—	13	1	no	—
891	#482	—	13	1	no	—
892	#482	—	13	1	no	—
893	#481	—	13	1	no	—
894	#480	—	13	1	no	—
895	#479	—	13	1	no	—
896	#479	—	13	1	no	—
897	#479	—	13	1	no	—
898	#479	—	13	1	no	—
899	#478	—	13	1	no	—
900	#478	—	13	1	no	—
901	#478	—	13	1	no	—
902	#478	—	13	1	no	—
903	#477	—	13	1	no	—
904	#476	—	13	1	no	—
905	#475	—	13	1	no	—
906	#475	—	13	1	no	—
907	#470	—	13	1	no	—
908	#469	—	13	1	no	—
909	#468	—	13	1	no	—
910	#468	—	13	1	no	—
911	#467	—	13	1	no	—
912	#467	—	13	1	no	—
913	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
914	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
915	#465	—	13	1	no	—
916	#465	—	13	1	no	—
917	#465	C₂×D₁₃	1	1	yes	characteristic
918	#465	C₂×D₁₃	1	1	yes	characteristic
919	#464	—	13	1	no	—
920	#464	—	13	1	no	—
921	#464	—	13	1	no	—
922	#464	—	13	1	no	—
923	#463	—	13	1	no	—
924	#463	—	13	1	no	—
925	#463	—	13	1	no	—
926	#463	—	13	1	no	—
927	#462	—	13	1	no	—
928	#462	—	13	1	no	—
929	#462	—	13	1	no	—
930	#461	—	13	1	no	—
931	#452	—	13	1	no	—
932	#452	—	13	1	no	—
933	#452	—	13	1	no	—
934	#452	—	13	1	no	—
935	#451	—	13	1	no	—
936	#451	—	13	1	no	—
937	#451	—	13	1	no	—
938	#450	—	13	1	no	—
939	#449	—	13	1	no	—
940	#449	—	13	1	no	—
941	#448	—	13	1	no	—
942	#447	—	13	1	no	—
943	#446	—	13	1	no	—
944	#446	—	13	1	no	—
945	#442	—	13	1	no	—
946	#442	—	13	1	no	—
947	#442	—	13	1	no	—
948	#441	—	13	1	no	—
949	#441	—	13	1	no	—
950	#441	—	13	1	no	—
951	#441	—	13	1	no	—
952	#441	—	13	1	no	—
953	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#440	—	13	1	no	—
956	#440	—	13	1	no	—
957	#440	—	13	1	no	—
958	#440	—	13	1	no	—
959	#440	—	13	1	no	—
960	#440	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	#440	—	13	1	no	—
966	#440	—	13	1	no	—
967	#440	C₂×D₁₃	1	1	yes	characteristic
968	#440	C₂×D₁₃	1	1	yes	characteristic
969	C₄×Q₁₆	—	13	1	no	—
970	C₄×Q₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	#435	—	13	1	no	—
974	#435	—	13	1	no	—
975	#435	—	13	1	no	—
976	#435	—	13	1	no	—
977	C₈×D₄	—	13	1	no	—
978	C₈×D₄	—	13	1	no	—
979	#432	—	13	1	no	—
980	#432	—	13	1	no	—
981	#432	—	13	1	no	—
982	#428	—	13	1	no	—
983	#427	—	13	1	no	—
984	C₂×#107	—	13	1	no	—
985	#419	—	13	1	no	—
986	#417	—	13	1	no	—
987	#416	—	13	1	no	—
988	#416	—	13	1	no	—
989	C₂×#103	—	13	1	no	—
990	C₂×#102	—	13	1	no	—
991	C₄×M₁₆	—	13	1	no	—
992	C₂×#97	—	13	1	no	—
993	C₂×#97	C₂×D₁₃	1	1	yes	characteristic, complemented
994	C₂²×C₁₃	—	2	1	no	—
995	C₂²×C₁₃	—	2	1	no	—
996	C₂²×C₁₃	—	2	1	no	—
997	C₂²×C₁₃	—	4	1	no	—
998	C₂²×C₁₃	—	4	1	no	—
999	C₂²×C₁₃	—	4	1	no	—
1000	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1001	C₂×D₁₃	—	2	1	no	—
1002	C₂×D₁₃	—	2	1	no	—
1003	C₂×D₁₃	—	2	1	no	—
1004	C₂×D₁₃	—	2	1	no	—
1005	C₂×D₁₃	—	2	2	no	—
1006	C₂×D₁₃	—	2	1	no	—
1007	C₂×D₁₃	—	4	1	no	—
1008	C₂×D₁₃	—	4	1	no	—
1009	C₂×D₁₃	—	4	1	no	—
1010	C₂×D₁₃	—	4	1	no	—
1011	C₂×D₁₃	—	4	1	no	—
1012	C₂×D₁₃	—	8	4	no	—
1013	C₂×D₁₃	#575	1	2	yes	—
1014	C₄×C₁₃	—	2	1	no	—
1015	C₄×C₁₃	—	2	1	no	—
1016	C₄×C₁₃	—	2	1	no	—
1017	C₄×C₁₃	—	2	1	no	—
1018	C₄×C₁₃	—	2	1	no	—
1019	C₄×C₁₃	—	4	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	—	4	1	no	—
1025	C₄×C₁₃	—	4	1	no	—
1026	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1027	C₄×C₁₃	#585	1	1	yes	characteristic
1028	Dic₁₃	—	2	1	no	—
1029	Dic₁₃	—	2	1	no	—
1030	Dic₁₃	—	2	2	no	—
1031	Dic₁₃	—	2	1	no	—
1032	Dic₁₃	—	2	1	no	—
1033	Dic₁₃	—	2	1	no	—
1034	Dic₁₃	—	2	1	no	—
1035	Dic₁₃	—	4	1	no	—
1036	Dic₁₃	—	4	1	no	—
1037	Dic₁₃	—	4	1	no	—
1038	Dic₁₃	—	4	1	no	—
1039	Dic₁₃	—	4	1	no	—
1040	C₂×#41	—	13	1	no	—
1041	C₂×#41	—	13	1	no	—
1042	C₂×#41	—	13	1	no	—
1043	C₂×#41	—	13	1	no	—
1044	C₂×#41	—	26	1	no	—
1045	C₂²×Q₈	—	13	1	no	—
1046	C₂²×Q₈	—	13	1	no	—
1047	C₂²×D₄	—	13	1	no	—
1048	C₂³×C₄	—	26	1	no	—
1049	#137	—	26	4	no	—
1050	#135	—	26	4	no	—
1051	C₂×Q₁₆	—	13	1	no	—
1052	C₂×Q₁₆	—	13	1	no	—
1053	C₂×Q₁₆	—	13	1	no	—
1054	C₂×Q₁₆	—	13	1	no	—
1055	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	—	13	1	no	—
1058	C₂×SD₁₆	—	13	1	no	—
1059	C₂×SD₁₆	—	13	1	no	—
1060	C₂×SD₁₆	—	13	1	no	—
1061	C₂×SD₁₆	—	13	1	no	—
1062	C₂×SD₁₆	—	13	1	no	—
1063	C₂×SD₁₆	—	26	4	no	—
1064	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1066	C₂×D₈	—	13	1	no	—
1067	C₂×D₈	—	13	1	no	—
1068	C₂×M₁₆	—	13	1	no	—
1069	C₂×M₁₆	—	13	1	no	—
1070	C₂²×C₈	—	13	1	no	—
1071	C₂²×C₈	—	13	1	no	—
1072	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1074	C₄⋊Q₈	—	13	1	no	—
1075	C₄⋊Q₈	—	13	1	no	—
1076	C₄⋊Q₈	—	26	1	no	—
1077	C₄⋊Q₈	—	26	1	no	—
1078	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1080	#126	—	2	1	no	—
1081	#126	—	26	1	no	—
1082	#126	—	26	1	no	—
1083	#126	—	26	1	no	—
1084	#126	—	26	1	no	—
1085	#126	—	26	1	no	—
1086	#126	—	26	1	no	—
1087	#126	—	26	1	no	—
1088	#126	—	26	1	no	—
1089	#126	—	26	1	no	—
1090	#126	—	26	1	no	—
1091	#126	—	26	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	13	1	no	—
1094	#125	—	13	1	no	—
1095	#125	—	13	1	no	—
1096	#125	—	26	1	no	—
1097	#125	—	26	1	no	—
1098	#125	—	26	1	no	—
1099	#125	—	26	1	no	—
1100	#125	—	26	1	no	—
1101	#125	—	26	1	no	—
1102	#125	—	26	1	no	—
1103	#125	C₂²×D₁₃	1	1	yes	characteristic
1104	#124	—	13	1	no	—
1105	#124	—	13	1	no	—
1106	#124	—	13	1	no	—
1107	#124	—	26	1	no	—
1108	#124	—	26	1	no	—
1109	#124	—	26	1	no	—
1110	#124	—	26	1	no	—
1111	#124	C₂²×D₁₃	1	1	yes	characteristic
1112	#123	—	2	1	no	—
1113	#123	—	26	1	no	—
1114	#123	—	26	1	no	—
1115	#123	—	26	1	no	—
1116	#123	—	26	1	no	—
1117	#123	—	26	1	no	—
1118	#123	—	26	1	no	—
1119	#123	—	26	1	no	—
1120	#123	—	26	1	no	—
1121	#123	—	26	1	no	—
1122	#123	—	26	1	no	—
1123	#123	—	26	1	no	—
1124	#123	—	26	1	no	—
1125	#123	—	26	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	13	1	no	—
1128	C₂²⋊Q₈	—	13	1	no	—
1129	C₂²⋊Q₈	—	13	1	no	—
1130	C₂²⋊Q₈	—	13	1	no	—
1131	C₂²⋊Q₈	—	13	1	no	—
1132	C₂²⋊Q₈	—	26	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	—	26	1	no	—
1143	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	#121	—	13	1	no	—
1147	#121	—	13	1	no	—
1148	#121	—	13	1	no	—
1149	#121	—	26	1	no	—
1150	#121	—	26	1	no	—
1151	#121	—	26	1	no	—
1152	#121	—	26	1	no	—
1153	#121	—	26	1	no	—
1154	#121	—	26	1	no	—
1155	#121	C₂²×D₁₃	1	1	yes	characteristic
1156	#120	—	26	1	no	—
1157	#120	—	26	1	no	—
1158	C₄×Q₈	—	2	1	no	—
1159	C₄×Q₈	—	13	1	no	—
1160	C₄×Q₈	—	13	1	no	—
1161	C₄×Q₈	—	13	1	no	—
1162	C₄×Q₈	—	13	1	no	—
1163	C₄×Q₈	—	13	1	no	—
1164	C₄×Q₈	—	13	1	no	—
1165	C₄×Q₈	—	13	1	no	—
1166	C₄×Q₈	—	13	1	no	—
1167	C₄×Q₈	—	13	1	no	—
1168	C₄×Q₈	—	13	1	no	—
1169	C₄×Q₈	—	13	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	—	26	1	no	—
1173	C₄×Q₈	—	26	1	no	—
1174	C₄×Q₈	—	26	1	no	—
1175	C₄×Q₈	—	26	1	no	—
1176	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1179	C₄×D₄	—	2	1	no	—
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	13	1	no	—
1183	C₄×D₄	—	13	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	13	1	no	—
1211	#117	—	13	1	no	—
1212	#117	—	13	1	no	—
1213	#117	—	13	1	no	—
1214	#117	—	13	1	no	—
1215	#117	—	13	1	no	—
1216	#117	—	26	1	no	—
1217	#117	—	26	1	no	—
1218	#117	—	26	1	no	—
1219	#117	—	26	1	no	—
1220	#117	—	26	1	no	—
1221	#117	—	26	1	no	—
1222	#117	—	26	1	no	—
1223	#117	—	26	1	no	—
1224	#117	—	26	1	no	—
1225	#117	—	26	1	no	—
1226	#117	—	26	1	no	—
1227	#117	—	26	1	no	—
1228	#117	—	26	1	no	—
1229	#117	—	26	1	no	—
1230	C₂×C₄⋊C₄	—	13	1	no	—
1231	C₂×C₄⋊C₄	—	13	1	no	—
1232	C₂×C₄⋊C₄	—	13	1	no	—
1233	C₂×C₄⋊C₄	—	26	1	no	—
1234	C₂×C₄⋊C₄	—	26	1	no	—
1235	C₂×C₄⋊C₄	—	26	1	no	—
1236	C₂×C₄⋊C₄	—	26	1	no	—
1237	C₂×C₂²⋊C₄	—	26	1	no	—
1238	C₂×C₂²⋊C₄	—	26	1	no	—
1239	C₂×C₂²⋊C₄	—	26	1	no	—
1240	C₂×C₄²	—	13	1	no	—
1241	C₂×C₄²	—	13	1	no	—
1242	C₂×C₄²	—	26	1	no	—
1243	C₂×C₄²	—	26	1	no	—
1244	C₂×C₄²	—	26	1	no	—
1245	C₂×C₄²	—	26	1	no	—
1246	C₂×C₄²	—	26	1	no	—
1247	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1248	#107	—	13	1	no	—
1249	#107	—	13	1	no	—
1250	#107	—	13	1	no	—
1251	#107	—	13	1	no	—
1252	#107	—	13	1	no	—
1253	#107	—	13	1	no	—
1254	#107	C₂²×D₁₃	1	1	yes	characteristic
1255	#107	C₂²×D₁₃	1	1	yes	characteristic
1256	#106	—	13	1	no	—
1257	#106	—	13	1	no	—
1258	#106	—	13	1	no	—
1259	#106	—	13	1	no	—
1260	#106	—	13	1	no	—
1261	#106	—	13	1	no	—
1262	#106	C₂²×D₁₃	1	1	yes	characteristic
1263	#106	C₂²×D₁₃	1	1	yes	characteristic
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	#103	—	13	1	no	—
1271	#103	—	13	1	no	—
1272	#103	—	13	1	no	—
1273	#103	—	13	1	no	—
1274	#103	—	13	1	no	—
1275	#103	—	13	1	no	—
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	—	13	1	no	—
1283	#103	—	13	1	no	—
1284	#103	C₂²×D₁₃	1	1	yes	characteristic
1285	#103	C₂²×D₁₃	1	1	yes	characteristic
1286	#103	C₂²×D₁₃	1	1	yes	characteristic
1287	#103	C₂²×D₁₃	1	1	yes	characteristic
1288	#103	C₂²×D₁₃	1	1	yes	characteristic
1289	#103	C₂²×D₁₃	1	1	yes	characteristic
1290	#102	—	13	1	no	—
1291	#102	—	13	1	no	—
1292	#102	—	13	1	no	—
1293	#102	—	13	1	no	—
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	C₂²×D₁₃	1	1	yes	characteristic
1301	#102	C₂²×D₁₃	1	1	yes	characteristic
1302	C₂²⋊C₈	—	13	1	no	—
1303	C₂²⋊C₈	—	13	1	no	—
1304	C₂²⋊C₈	—	13	1	no	—
1305	C₂²⋊C₈	—	13	1	no	—
1306	C₂²⋊C₈	—	13	1	no	—
1307	C₂²⋊C₈	—	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	C₂×C₁₃	—	4	1	no	—
1319	C₂×C₁₃	—	8	1	no	—
1320	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1321	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1322	C₂×C₁₃	#3586	1	1	yes	characteristic
1323	D₁₃	—	2	2	no	—
1324	D₁₃	—	4	1	no	—
1325	D₁₃	—	4	2	no	—
1326	D₁₃	—	8	1	no	—
1327	C₂⁴	—	26	1	no	—
1328	#41	—	26	2	no	—
1329	#41	—	26	2	no	—
1330	#41	—	26	2	no	—
1331	#41	—	52	1	no	—
1332	#41	—	52	1	no	—
1333	#41	—	52	2	no	—
1334	#41	—	52	1	no	—
1335	#41	—	52	4	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	13	1	no	—
1338	C₂×Q₈	—	13	1	no	—
1339	C₂×Q₈	—	13	1	no	—
1340	C₂×Q₈	—	26	1	no	—
1341	C₂×Q₈	—	26	1	no	—
1342	C₂×Q₈	—	26	1	no	—
1343	C₂×Q₈	—	26	2	no	—
1344	C₂×Q₈	—	26	2	no	—
1345	C₂×Q₈	—	52	1	no	—
1346	C₂×Q₈	—	52	1	no	—
1347	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1348	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1349	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1350	C₂×D₄	—	2	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	—	26	1	no	—
1357	C₂×D₄	—	26	1	no	—
1358	C₂×D₄	—	26	1	no	—
1359	C₂×D₄	—	26	1	no	—
1360	C₂×D₄	—	26	2	no	—
1361	C₂×D₄	—	26	1	no	—
1362	C₂×D₄	—	26	1	no	—
1363	C₂×D₄	—	26	1	no	—
1364	C₂×D₄	—	52	1	no	—
1365	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1366	C₂²×C₄	—	2	1	no	—
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	—	26	1	no	—
1374	C₂²×C₄	—	26	1	no	—
1375	C₂²×C₄	—	26	1	no	—
1376	C₂²×C₄	—	26	1	no	—
1377	C₂²×C₄	—	26	1	no	—
1378	C₂²×C₄	—	26	1	no	—
1379	C₂²×C₄	—	26	1	no	—
1380	C₂²×C₄	—	26	1	no	—
1381	C₂²×C₄	—	26	1	no	—
1382	C₂²×C₄	—	26	1	no	—
1383	C₂²×C₄	—	26	1	no	—
1384	C₂²×C₄	—	26	1	no	—
1385	C₂²×C₄	—	26	1	no	—
1386	C₂²×C₄	—	26	1	no	—
1387	C₂²×C₄	—	26	1	no	—
1388	C₂²×C₄	—	52	4	no	—
1389	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1390	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1392	Q₁₆	—	2	2	no	—
1393	Q₁₆	—	4	1	no	—
1394	Q₁₆	—	26	2	no	—
1395	Q₁₆	—	26	2	no	—
1396	Q₁₆	—	52	1	no	—
1397	Q₁₆	—	52	1	no	—
1398	SD₁₆	—	2	2	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	13	4	no	—
1401	SD₁₆	—	26	2	no	—
1402	SD₁₆	—	26	2	no	—
1403	SD₁₆	—	26	2	no	—
1404	SD₁₆	—	26	2	no	—
1405	SD₁₆	—	52	1	no	—
1406	D₈	—	26	2	no	—
1407	D₈	—	52	1	no	—
1408	M₁₆	—	26	2	no	—
1409	M₁₆	—	52	1	no	—
1410	C₂×C₈	—	2	2	no	—
1411	C₂×C₈	—	4	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	—	26	2	no	—
1417	C₂×C₈	—	52	1	no	—
1418	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	13	1	no	—
1434	C₄⋊C₄	—	13	1	no	—
1435	C₄⋊C₄	—	13	1	no	—
1436	C₄⋊C₄	—	13	1	no	—
1437	C₄⋊C₄	—	13	1	no	—
1438	C₄⋊C₄	—	13	1	no	—
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	—	26	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	13	1	no	—
1481	C₂²⋊C₄	—	13	1	no	—
1482	C₂²⋊C₄	—	13	1	no	—
1483	C₂²⋊C₄	—	13	1	no	—
1484	C₂²⋊C₄	—	13	1	no	—
1485	C₂²⋊C₄	—	13	1	no	—
1486	C₂²⋊C₄	—	26	1	no	—
1487	C₂²⋊C₄	—	26	1	no	—
1488	C₂²⋊C₄	—	26	1	no	—
1489	C₂²⋊C₄	—	26	1	no	—
1490	C₂²⋊C₄	—	26	1	no	—
1491	C₂²⋊C₄	—	26	1	no	—
1492	C₂²⋊C₄	—	26	1	no	—
1493	C₂²⋊C₄	—	26	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	1	no	—
1506	C₂²⋊C₄	—	26	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	13	1	no	—
1514	C₄²	—	13	1	no	—
1515	C₄²	—	13	1	no	—
1516	C₄²	—	13	1	no	—
1517	C₄²	—	13	1	no	—
1518	C₄²	—	13	1	no	—
1519	C₄²	—	26	1	no	—
1520	C₄²	—	26	1	no	—
1521	C₄²	—	26	1	no	—
1522	C₄²	—	26	1	no	—
1523	C₄²	—	26	1	no	—
1524	C₄²	—	26	1	no	—
1525	C₄²	—	26	1	no	—
1526	C₄²	—	26	1	no	—
1527	C₄²	—	26	1	no	—
1528	C₄²	—	26	1	no	—
1529	C₄²	—	26	1	no	—
1530	C₄²	—	26	1	no	—
1531	C₄²	D₄×D₁₃	1	1	yes	characteristic
1532	C₄²	D₄×D₁₃	1	1	yes	characteristic
1533	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1534	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1535	C₁₃	#61455	1	1	yes	characteristic, complemented, Sylow
1536	C₂³	—	2	1	no	—
1537	C₂³	—	13	1	no	—
1538	C₂³	—	13	1	no	—
1539	C₂³	—	26	1	no	—
1540	C₂³	—	26	1	no	—
1541	C₂³	—	52	2	no	—
1542	C₂³	—	52	2	no	—
1543	C₂³	—	104	1	no	—
1544	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	4	2	no	—
1552	Q₈	—	13	2	no	—
1553	Q₈	—	26	1	no	—
1554	Q₈	—	26	1	no	—
1555	Q₈	—	26	1	no	—
1556	Q₈	—	52	1	no	—
1557	Q₈	—	52	2	no	—
1558	Q₈	—	52	2	no	—
1559	Q₈	—	104	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	—	13	2	no	—
1564	D₄	—	26	2	no	—
1565	D₄	—	26	2	no	—
1566	D₄	—	26	1	no	—
1567	D₄	—	26	1	no	—
1568	D₄	—	26	1	no	—
1569	D₄	—	52	2	no	—
1570	D₄	—	52	2	no	—
1571	D₄	—	52	2	no	—
1572	D₄	—	52	1	no	—
1573	D₄	—	52	2	no	—
1574	D₄	—	52	2	no	—
1575	D₄	—	52	2	no	—
1576	D₄	—	104	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	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	—	4	1	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	13	1	no	—
1590	C₂×C₄	—	13	1	no	—
1591	C₂×C₄	—	13	1	no	—
1592	C₂×C₄	—	13	1	no	—
1593	C₂×C₄	—	13	1	no	—
1594	C₂×C₄	—	13	1	no	—
1595	C₂×C₄	—	26	2	no	—
1596	C₂×C₄	—	26	1	no	—
1597	C₂×C₄	—	26	1	no	—
1598	C₂×C₄	—	26	1	no	—
1599	C₂×C₄	—	26	1	no	—
1600	C₂×C₄	—	26	1	no	—
1601	C₂×C₄	—	26	1	no	—
1602	C₂×C₄	—	26	1	no	—
1603	C₂×C₄	—	26	1	no	—
1604	C₂×C₄	—	26	1	no	—
1605	C₂×C₄	—	26	1	no	—
1606	C₂×C₄	—	52	1	no	—
1607	C₂×C₄	—	52	1	no	—
1608	C₂×C₄	—	52	1	no	—
1609	C₂×C₄	—	52	2	no	—
1610	C₂×C₄	—	52	2	no	—
1611	C₂×C₄	—	52	2	no	—
1612	C₂×C₄	—	52	2	no	—
1613	C₂×C₄	—	52	2	no	—
1614	C₂×C₄	—	52	2	no	—
1615	C₂×C₄	—	52	2	no	—
1616	C₂×C₄	—	52	2	no	—
1617	C₂×C₄	—	52	2	no	—
1618	C₂×C₄	—	52	2	no	—
1619	C₂×C₄	—	52	2	no	—
1620	C₂×C₄	—	52	2	no	—
1621	C₂×C₄	—	52	2	no	—
1622	C₂×C₄	—	104	1	no	—
1623	C₂×C₄	—	104	1	no	—
1624	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	26	1	no	—
1634	C₈	—	26	1	no	—
1635	C₈	—	26	1	no	—
1636	C₈	—	26	1	no	—
1637	C₈	#41×D₁₃	1	2	yes	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	13	2	no	—
1645	C₂²	—	26	1	no	—
1646	C₂²	—	26	1	no	—
1647	C₂²	—	26	1	no	—
1648	C₂²	—	26	1	no	—
1649	C₂²	—	26	2	no	—
1650	C₂²	—	26	1	no	—
1651	C₂²	—	52	1	no	—
1652	C₂²	—	52	1	no	—
1653	C₂²	—	52	1	no	—
1654	C₂²	—	52	1	no	—
1655	C₂²	—	52	1	no	—
1656	C₂²	—	104	4	no	—
1657	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	26	1	no	—
1671	C₄	—	26	1	no	—
1672	C₄	—	26	1	no	—
1673	C₄	—	26	1	no	—
1674	C₄	—	26	2	no	—
1675	C₄	—	26	1	no	—
1676	C₄	—	26	1	no	—
1677	C₄	—	52	1	no	—
1678	C₄	—	52	1	no	—
1679	C₄	—	52	1	no	—
1680	C₄	—	52	1	no	—
1681	C₄	—	52	1	no	—
1682	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1683	C₄	#11719648	1	1	yes	characteristic
1684	C₂	—	4	1	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	26	2	no	—
1687	C₂	—	52	1	no	—
1688	C₂	—	52	2	no	—
1689	C₂	—	104	1	no	—
1690	C₂	#13128322	1	1	yes	characteristic
1691	C₂	D₁₃×#575	1	1	yes	characteristic
1692	C₂	#13129619	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3181	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3181	D₁₃
hypocenter	C₁₃	#61455
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3181

Complements

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

N	H ≅ G/N	type
1. #13128454	C₂	semidirect
2. #13128392	C₂	semidirect
3. #13127912	C₂	semidirect
4. #13127776	C₂	semidirect
5. #13127677	C₂	semidirect
6. #13127658	C₂	semidirect
7. #13127357	C₂	semidirect
8. #13127275	C₂	semidirect
9. #13127199	C₂	semidirect
10. #13127028	C₂	semidirect
11. #13126938	C₂	semidirect
12. #13126886	C₂	semidirect
13. #13126796	C₂	semidirect
14. #13126718	C₂	semidirect
15. #13126666	C₂	semidirect
16. #13126550	C₂	semidirect
17. #13126388	C₂	semidirect
18. #13126345	C₂	semidirect
19. #13125561	C₂	semidirect
20. #13125543	C₂	semidirect
21. #13125005	C₂	semidirect
22. #13124992	C₂	semidirect
23. #13124978	C₂	semidirect
24. #13124964	C₂	semidirect
25. #13124951	C₂	semidirect
26. #13124939	C₂	semidirect
27. #13123847	C₂	semidirect
28. #13123652	C₂	semidirect
29. #13123638	C₂	semidirect
30. D₁₃×#440	C₂	semidirect
31. C₁₃×#3181	C₂	semidirect
32. C₁₃×#533	C₂²	semidirect
37. #11719437	C₂²	semidirect
40. #11719426	C₂²	semidirect
54. #11719344	C₂²	semidirect
56. #11719338	C₂²	semidirect
62. #11719285	C₂²	semidirect
68. C₄×Q₈×D₁₃	C₂²	semidirect
79. C₄×#6127	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
82. C₁₃×#491	C₂²	semidirect
84. C₁₃×#467	C₂²	semidirect
85. C₁₃×#467	C₂²	semidirect
88. C₁₃×#441	C₂²	semidirect
89. C₁₃×#441	C₂²	semidirect
92. C₂×C₁₃×#97	C₂²	semidirect
93. #11718851	C₂²	semidirect
97. #11718846	C₂²	semidirect
98. Q₁₆×Dic₁₃	C₂²	semidirect
99. #11718843	C₂²	semidirect
108. #11718774	C₂²	semidirect
109. #11718772	C₂²	semidirect
110. #11718772	C₂²	semidirect
113. #11718767	C₂²	semidirect
114. #11718752	C₂²	semidirect
115. #11718751	C₂²	semidirect
118. #11718727	C₂²	semidirect
119. #11718724	C₂²	semidirect
124. #11718708	C₂²	semidirect
125. #11718706	C₂²	semidirect
126. #11718706	C₂²	semidirect
127. #11718706	C₂²	semidirect
130. #11718691	C₂²	semidirect
131. #11718691	C₂²	semidirect
132. #11718691	C₂²	semidirect
135. #11718687	C₂²	semidirect
138. #11718587	C₂²	semidirect
141. #11718547	C₂²	semidirect
142. #11718545	C₂²	semidirect
145. #11718539	C₂²	semidirect
146. #11718538	C₂²	semidirect
148. #11718527	C₂²	semidirect
151. #11718522	C₂²	semidirect
152. #11718517	C₂²	semidirect
153. #11718515	C₂²	semidirect
158. #11718477	C₂²	semidirect
159. #11718476	C₂²	semidirect
163. #11718469	C₂²	semidirect
168. #11718463	C₂²	semidirect
170. #11718461	C₂²	semidirect
171. #11718460	C₂²	semidirect
172. #11718460	C₂²	semidirect
173. #11718458	C₂²	semidirect
174. #11718456	C₂²	semidirect
175. #11718454	C₂²	semidirect
176. #11718452	C₂²	semidirect
177. #11718451	C₂²	semidirect
187. #11718377	C₂²	semidirect
188. #11718377	C₂²	semidirect
193. #11718371	C₂²	semidirect
194. #11718371	C₂²	semidirect
195. #11718368	C₂²	semidirect
199. #11718366	C₂²	semidirect
201. #11718362	C₂²	semidirect
202. #11718362	C₂²	semidirect
685. #6095	#41	semidirect
710. #3181	D₁₃	semidirect
852. #533	C₂×D₁₃	semidirect
872. #501	C₂×D₁₃	semidirect
878. #491	C₂×D₁₃	semidirect
913. #467	C₂×D₁₃	semidirect
914. #467	C₂×D₁₃	semidirect
953. #441	C₂×D₁₃	semidirect
954. #441	C₂×D₁₃	semidirect
993. C₂×#97	C₂×D₁₃	semidirect
1535. C₁₃	#61455	semidirect

Maximal subgroups

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

subgroup	index
#13128454	2
#13128392	2
#13127912	2
#13127776	2
#13127677	2
#13127658	2
#13127357	2
#13127275	2
#13127199	2
#13127028	2
#13126938	2
#13126886	2
#13126796	2
#13126718	2
#13126666	2
#13126550	2
#13126388	2
#13126345	2
#13125561	2
#13125543	2
#13125005	2
#13124992	2
#13124978	2
#13124964	2
#13124951	2
#13124939	2
#13123847	2
#13123652	2
#13123638	2
D₁₃×#440	2
C₁₃×#3181	2
#61455	13