Subgroups — #16740273

Order 3328.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128584	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128513	C₂	1	1	yes	maximal, characteristic
3	#13126939	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126935	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126915	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126899	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126895	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126891	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126887	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126752	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126748	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126728	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126719	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126708	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126677	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125196	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124815	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124781	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124684	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124526	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124361	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124095	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123674	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123525	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123364	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718465	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88254	C₂²	1	1	yes	characteristic
33	C₂²×#6131	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	#11719522	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	C₂×#88172	C₂²	1	1	yes	characteristic
40	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719437	C₂²	1	1	yes	characteristic, complemented
44	#11719434	C₂²	1	1	yes	characteristic, complemented
45	#11719431	—	2	1	no	—
46	#11719431	C₂²	1	1	yes	characteristic
47	#11719429	—	2	1	no	—
48	#11719429	C₂²	1	1	yes	characteristic
49	#11719401	—	2	1	no	—
50	#11719398	—	2	1	no	—
51	#11719347	C₂²	1	1	yes	characteristic
52	#11719346	C₂²	1	1	yes	characteristic, complemented
53	#11719345	—	2	1	no	—
54	#11719344	—	2	1	no	—
55	#11719342	—	2	1	no	—
56	#11719336	—	2	1	no	—
57	#11719336	C₂²	1	1	yes	characteristic
58	#11719335	—	2	1	no	—
59	#11719335	C₂²	1	1	yes	characteristic
60	#11719334	—	2	1	no	—
61	#11719334	C₂²	1	1	yes	characteristic
62	#11719333	C₂²	1	1	yes	characteristic, complemented
63	D₁₃×C₂²⋊Q₈	—	2	1	no	—
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	#11719327	—	2	1	no	—
67	#11719286	C₂²	1	1	yes	characteristic, complemented
68	#11719281	C₂²	1	1	yes	characteristic
69	#11719279	C₂²	1	1	yes	characteristic
70	#11719277	C₂²	1	1	yes	characteristic, complemented
71	#11719261	—	2	1	no	—
72	#11719255	—	2	1	no	—
73	#11719255	C₂²	1	1	yes	characteristic
74	#11719252	—	2	1	no	—
75	#11719252	C₂²	1	1	yes	characteristic
76	#11719246	C₂²	1	1	yes	characteristic
77	#11719243	—	2	1	no	—
78	#11719218	C₂²	1	1	yes	characteristic, complemented
79	#11719216	C₂²	1	1	yes	characteristic
80	#11719209	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88146	C₂²	1	1	yes	characteristic
82	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#484	C₂²	1	1	yes	characteristic
84	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#467	C₂²	1	1	yes	characteristic
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#451	C₂²	1	1	yes	characteristic
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
93	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
95	#11718889	C₂²	1	1	yes	characteristic
96	#11718889	C₂²	1	1	yes	characteristic, complemented
97	#11718886	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88075	C₂²	1	1	yes	characteristic
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718849	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic
102	#11718848	C₂²	1	1	yes	characteristic
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718846	C₂²	1	1	yes	characteristic, complemented
106	#11718845	C₂²	1	1	yes	characteristic, complemented
107	#11718843	C₂²	1	1	yes	characteristic, complemented
108	#11718777	C₂²	1	1	yes	characteristic
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	#11718774	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88061	C₂²	1	1	yes	characteristic
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718751	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718748	C₂²	1	1	yes	characteristic, complemented
117	#11718743	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic
120	#11718712	C₂²	1	1	yes	characteristic
121	#11718710	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718707	C₂²	1	1	yes	characteristic
124	#11718706	C₂²	1	1	yes	characteristic, complemented
125	#11718704	C₂²	1	1	yes	characteristic
126	#11718691	C₂²	1	1	yes	characteristic, complemented
127	#11718689	C₂²	1	1	yes	characteristic, complemented
128	#11718687	C₂²	1	1	yes	characteristic, complemented
129	#11718683	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic
131	#11718631	C₂²	1	1	yes	characteristic
132	#11718628	C₂²	1	1	yes	characteristic, complemented
133	#11718627	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88049	C₂²	1	1	yes	characteristic
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718551	C₂²	1	1	yes	characteristic, complemented
137	#11718550	C₂²	1	1	yes	characteristic, complemented
138	#11718549	C₂²	1	1	yes	characteristic, complemented
139	#11718549	C₂²	1	1	yes	characteristic, complemented
140	#11718548	C₂²	1	1	yes	characteristic, complemented
141	#11718547	C₂²	1	1	yes	characteristic, complemented
142	#11718546	C₂²	1	1	yes	characteristic, complemented
143	#11718543	C₂²	1	1	yes	characteristic, complemented
144	#11718542	C₂²	1	1	yes	characteristic, complemented
145	#11718542	C₂²	1	1	yes	characteristic, complemented
146	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718497	C₂²	1	1	yes	characteristic, complemented
151	#11718476	C₂²	1	1	yes	characteristic, complemented
152	#11718476	C₂²	1	1	yes	characteristic, complemented
153	#11718476	C₂²	1	1	yes	characteristic, complemented
154	#11718474	C₂²	1	1	yes	characteristic, complemented
155	#11718474	C₂²	1	1	yes	characteristic, complemented
156	#11718474	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic
158	#11718471	C₂²	1	1	yes	characteristic
159	#11718471	C₂²	1	1	yes	characteristic, complemented
160	#11718470	C₂²	1	1	yes	characteristic, complemented
161	#11718469	C₂²	1	1	yes	characteristic, complemented
162	#11718468	C₂²	1	1	yes	characteristic, complemented
163	#11718465	C₂²	1	1	yes	characteristic
164	#11718465	C₂²	1	1	yes	characteristic
165	#11718465	C₂²	1	1	yes	characteristic
166	#11718465	C₂²	1	1	yes	characteristic
167	#11718465	C₂²	1	1	yes	characteristic
168	#11718465	C₂²	1	1	yes	characteristic
169	#11718465	C₂²	1	1	yes	characteristic
170	#11718465	C₂²	1	1	yes	characteristic
171	#11718465	C₂²	1	1	yes	characteristic, complemented
172	#11718464	C₂²	1	1	yes	characteristic
173	#11718464	C₂²	1	1	yes	characteristic
174	#11718464	C₂²	1	1	yes	characteristic, complemented
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718463	C₂²	1	1	yes	characteristic, complemented
177	#11718463	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
181	#11718461	C₂²	1	1	yes	characteristic, complemented
182	#11718460	C₂²	1	1	yes	characteristic, complemented
183	#11718459	C₂²	1	1	yes	characteristic, complemented
184	#11718458	C₂²	1	1	yes	characteristic, complemented
185	#11718456	C₂²	1	1	yes	characteristic, complemented
186	#11718455	C₂²	1	1	yes	characteristic, complemented
187	#11718454	C₂²	1	1	yes	characteristic, complemented
188	#11718453	C₂²	1	1	yes	characteristic, complemented
189	#11718451	C₂²	1	1	yes	characteristic, complemented
190	#11718449	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic
194	#11718391	C₂²	1	1	yes	characteristic
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic
198	#11718382	C₂²	1	1	yes	characteristic
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#88254	—	2	4	no	—
206	#88254	—	4	2	no	—
207	C₂×#6131	—	2	1	no	—
208	C₂×#6131	—	2	1	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	—	2	4	no	—
211	C₂×#6131	—	4	2	no	—
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	C₂×#6131	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	—	2	1	no	—
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×#6127	—	2	1	no	—
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂²×D₅₂	—	2	1	no	—
226	C₂²×D₅₂	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	—	2	1	no	—
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×#125	—	2	1	no	—
238	C₁₃×C₂²⋊Q₈	—	2	1	no	—
239	C₁₃×C₂²⋊Q₈	—	2	1	no	—
240	C₁₃×C₂²⋊Q₈	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	#88201	—	2	1	no	—
254	#88201	—	2	1	no	—
255	#88201	C₂³	1	1	yes	characteristic
256	#88200	—	2	1	no	—
257	#88200	—	2	1	no	—
258	#88200	—	2	1	no	—
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	—	2	1	no	—
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
266	#88198	—	2	1	no	—
267	#88198	—	2	1	no	—
268	#88198	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6106	C₂³	1	1	yes	characteristic
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	#88193	D₄	1	1	yes	characteristic
276	#88191	—	2	1	no	—
277	#88191	D₄	1	1	yes	characteristic
278	#88189	—	2	1	no	—
279	#88184	—	2	1	no	—
280	#88184	C₂³	1	1	yes	characteristic
281	#88183	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₄×C₂²⋊D₁₃	—	2	1	no	—
285	C₄×C₂²⋊D₁₃	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
289	C₂×#6103	—	2	1	no	—
290	#88180	—	2	1	no	—
291	#88180	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	#88178	—	2	1	no	—
294	#88178	—	2	1	no	—
295	#88178	C₂³	1	1	yes	characteristic
296	#88178	C₂³	1	1	yes	characteristic
297	#88178	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	—	2	1	no	—
299	C₂×#6099	C₂³	1	1	yes	characteristic
300	C₂²×#1055	C₂³	1	1	yes	characteristic
301	#88172	—	2	4	no	—
302	#88172	—	4	2	no	—
303	Q₁₆×D₁₃	—	4	2	no	—
304	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
305	C₂×#6095	C₂³	1	1	yes	characteristic
306	C₂×#6095	C₂³	1	1	yes	characteristic
307	#88155	—	4	2	no	—
308	C₂×#6094	C₂³	1	1	yes	characteristic
309	C₂×#6094	C₂³	1	1	yes	characteristic
310	C₂×#6094	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	—	4	2	no	—
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
317	#88152	—	2	1	no	—
318	#88152	—	2	1	no	—
319	#88152	—	2	1	no	—
320	#88152	—	2	1	no	—
321	#88152	—	2	1	no	—
322	#88151	—	2	1	no	—
323	#88151	C₂³	1	1	yes	characteristic
324	#88151	C₂³	1	1	yes	characteristic
325	#88151	C₂³	1	1	yes	characteristic
326	#88150	—	2	1	no	—
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88150	—	2	1	no	—
333	#88150	D₄	1	1	yes	characteristic
334	#88149	—	2	1	no	—
335	#88149	—	2	1	no	—
336	#88149	—	2	1	no	—
337	#88149	—	2	1	no	—
338	#88149	C₂³	1	1	yes	characteristic
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88148	—	2	1	no	—
344	#88148	—	2	1	no	—
345	#88148	—	2	1	no	—
346	#88148	—	2	1	no	—
347	#88148	—	2	1	no	—
348	#88148	D₄	1	1	yes	characteristic
349	#88147	—	2	1	no	—
350	#88147	—	2	1	no	—
351	#88147	C₂³	1	1	yes	characteristic
352	#88146	—	2	1	no	—
353	#88146	—	2	1	no	—
354	#88146	—	2	1	no	—
355	#88146	C₂³	1	1	yes	characteristic
356	#88146	C₂³	1	1	yes	characteristic
357	#88146	C₂³	1	1	yes	characteristic
358	#88146	C₂³	1	1	yes	characteristic
359	#88146	C₂³	1	1	yes	characteristic
360	C₄⋊C₄×D₁₃	—	2	1	no	—
361	C₄⋊C₄×D₁₃	—	2	1	no	—
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	—	2	1	no	—
364	C₄⋊C₄×D₁₃	—	2	1	no	—
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	#88144	—	2	1	no	—
369	#88144	C₂³	1	1	yes	characteristic
370	#88143	—	2	1	no	—
371	#88143	—	2	1	no	—
372	#88143	—	2	1	no	—
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	C₂³	1	1	yes	characteristic
377	#88141	—	2	1	no	—
378	#88141	—	2	1	no	—
379	#88141	—	2	1	no	—
380	#88141	C₂³	1	1	yes	characteristic
381	#88140	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	D₄	1	1	yes	characteristic
389	#88137	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	D₄	1	1	yes	characteristic
392	#88136	—	2	1	no	—
393	#88136	D₄	1	1	yes	characteristic
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	C₂²⋊C₄×D₁₃	—	2	1	no	—
396	C₂²⋊C₄×D₁₃	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	#88133	—	2	1	no	—
399	#88133	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88132	D₄	1	1	yes	characteristic
403	#88131	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88130	—	2	1	no	—
406	#88129	—	2	1	no	—
407	#88129	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	—	2	1	no	—
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	#88126	—	2	1	no	—
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	#88124	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#107	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×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	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	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	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	#88060	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	#88058	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88057	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	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	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61173	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	2	no	—
494	C₂×Q₈×C₁₃	—	2	2	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
516	#6131	—	2	2	no	—
517	#6131	—	2	2	no	—
518	#6131	—	2	2	no	—
519	#6131	—	2	2	no	—
520	#6131	—	2	2	no	—
521	#6131	—	2	2	no	—
522	#6131	—	4	4	no	—
523	#6131	—	4	1	no	—
524	#6131	—	4	1	no	—
525	#6131	—	4	1	no	—
526	#6131	—	4	4	no	—
527	#6131	—	4	4	no	—
528	#6131	#41	1	4	yes	—
529	Q₈×D₁₃	—	2	2	no	—
530	Q₈×D₁₃	—	2	2	no	—
531	Q₈×D₁₃	—	2	2	no	—
532	Q₈×D₁₃	—	2	2	no	—
533	Q₈×D₁₃	—	2	2	no	—
534	Q₈×D₁₃	—	4	1	no	—
535	Q₈×D₁₃	—	4	4	no	—
536	#6127	—	2	2	no	—
537	#6127	—	2	2	no	—
538	#6127	—	2	2	no	—
539	#6127	—	4	1	no	—
540	#6127	—	4	4	no	—
541	#6127	—	4	4	no	—
542	C₂×D₅₂	—	2	1	no	—
543	C₂×D₅₂	—	2	2	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	4	1	no	—
551	C₂×D₅₂	—	4	4	no	—
552	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
553	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
554	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
555	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	2	no	—
558	C₂×C₄×D₁₃	—	2	2	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	4	4	no	—
573	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
583	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
585	C₁₃×Q₁₆	—	2	2	no	—
586	C₁₃×Q₁₆	—	4	1	no	—
587	C₁₃×Q₁₆	—	4	1	no	—
588	C₂×C₈×C₁₃	—	4	1	no	—
589	C₂×C₈×C₁₃	—	4	1	no	—
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₁₃	—	2	1	no	—
617	C₄²×C₁₃	—	2	1	no	—
618	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
625	#6107	—	2	2	no	—
626	#6107	—	4	1	no	—
627	#6107	—	4	1	no	—
628	#6107	—	4	1	no	—
629	#6106	—	2	2	no	—
630	#6106	—	4	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	C₂×D₄	1	1	yes	characteristic
652	#6103	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	#6103	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
688	#6101	C₂×D₄	1	1	yes	characteristic
689	#6101	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
702	#6099	—	4	1	no	—
703	C₂×#1055	—	4	1	no	—
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	Dic₅₂	—	4	1	no	—
709	#6095	—	2	2	no	—
710	#6095	—	4	1	no	—
711	#6094	—	2	2	no	—
712	#6094	—	2	2	no	—
713	#6094	—	4	1	no	—
714	C₈×D₁₃	—	2	2	no	—
715	C₈×D₁₃	—	2	2	no	—
716	C₈×D₁₃	—	4	1	no	—
717	C₈×D₁₃	—	4	1	no	—
718	C₈×D₁₃	—	4	1	no	—
719	#3495	—	13	1	no	—
720	#3489	—	13	1	no	—
721	#3315	—	13	1	no	—
722	#3315	—	13	1	no	—
723	#3314	—	13	1	no	—
724	#3314	—	13	1	no	—
725	#3313	—	13	1	no	—
726	#3313	—	13	1	no	—
727	#3312	—	13	1	no	—
728	#3312	—	13	1	no	—
729	#3302	—	13	1	no	—
730	#3302	—	13	1	no	—
731	#3300	—	13	1	no	—
732	#3300	—	13	1	no	—
733	#3299	—	13	1	no	—
734	#3299	D₁₃	1	1	yes	characteristic, complemented
735	#3296	—	13	1	no	—
736	#3296	—	13	1	no	—
737	#3137	—	13	1	no	—
738	#3098	—	13	1	no	—
739	#3095	—	13	1	no	—
740	#3083	—	13	1	no	—
741	#3063	—	13	1	no	—
742	C₂×#467	—	13	1	no	—
743	#3044	—	13	1	no	—
744	#3011	—	13	1	no	—
745	#3007	—	13	1	no	—
746	#2947	—	13	1	no	—
747	#2929	—	13	1	no	—
748	#2898	—	13	1	no	—
749	C₂×#416	—	13	1	no	—
750	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
752	C₂²×D₁₃	—	2	2	no	—
753	C₂²×D₁₃	—	2	1	no	—
754	C₂²×D₁₃	—	2	2	no	—
755	C₂²×D₁₃	—	2	1	no	—
756	C₂²×D₁₃	—	4	1	no	—
757	C₂²×D₁₃	—	4	2	no	—
758	C₂²×D₁₃	—	4	2	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
763	Q₈×C₁₃	—	2	1	no	—
764	Q₈×C₁₃	—	2	1	no	—
765	Q₈×C₁₃	—	2	1	no	—
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	2	1	no	—
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	4	2	no	—
771	Q₈×C₁₃	—	4	2	no	—
772	Q₈×C₁₃	—	8	1	no	—
773	Q₈×C₁₃	C₂×#41	1	2	yes	—
774	D₄×C₁₃	—	2	2	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	4	2	no	—
788	C₂×C₄×C₁₃	—	4	2	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
796	C₂²⋊D₁₃	—	2	2	no	—
797	C₂²⋊D₁₃	—	2	2	no	—
798	C₂²⋊D₁₃	—	2	2	no	—
799	C₂²⋊D₁₃	—	4	1	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂×Dic₁₃	—	2	2	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	D₅₂	—	2	4	no	—
816	D₅₂	—	2	2	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	4	1	no	—
821	D₅₂	—	4	2	no	—
822	D₅₂	—	4	2	no	—
823	D₅₂	—	4	2	no	—
824	D₅₂	—	4	2	no	—
825	D₅₂	—	4	2	no	—
826	D₅₂	—	8	1	no	—
827	D₅₂	C₂×#41	1	2	yes	—
828	C₄×D₁₃	—	2	2	no	—
829	C₄×D₁₃	—	2	1	no	—
830	C₄×D₁₃	—	2	1	no	—
831	C₄×D₁₃	—	2	1	no	—
832	C₄×D₁₃	—	2	1	no	—
833	C₄×D₁₃	—	2	2	no	—
834	C₄×D₁₃	—	2	4	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	4	2	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	4	2	no	—
842	C₄×D₁₃	—	4	2	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	—	8	1	no	—
846	C₄×D₁₃	—	8	1	no	—
847	C₄×D₁₃	—	8	1	no	—
848	C₄×D₁₃	C₂×#41	1	2	yes	—
849	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
850	Dic₂₆	—	2	2	no	—
851	Dic₂₆	—	2	1	no	—
852	Dic₂₆	—	2	1	no	—
853	Dic₂₆	—	2	1	no	—
854	Dic₂₆	—	2	1	no	—
855	Dic₂₆	—	4	2	no	—
856	Dic₂₆	—	4	2	no	—
857	Dic₂₆	—	4	2	no	—
858	Dic₂₆	—	8	1	no	—
859	C₈×C₁₃	—	2	1	no	—
860	C₈×C₁₃	—	2	1	no	—
861	C₈×C₁₃	—	2	1	no	—
862	C₈×C₁₃	—	2	1	no	—
863	#1055	—	2	1	no	—
864	#1055	—	2	1	no	—
865	#1055	—	2	1	no	—
866	#1055	—	2	1	no	—
867	C₂×2₋¹⁺⁴	—	13	1	no	—
868	C₂²×#41	—	13	1	no	—
869	C₂×#137	—	13	1	no	—
870	C₂×#137	—	13	1	no	—
871	C₂²×Q₁₆	—	13	1	no	—
872	C₂×#131	—	13	1	no	—
873	C₂³×C₈	—	13	1	no	—
874	#556	—	13	1	no	—
875	#556	—	13	1	no	—
876	#554	—	13	1	no	—
877	#554	C₂×D₁₃	1	1	yes	characteristic
878	#552	—	13	1	no	—
879	#552	—	13	1	no	—
880	#552	—	13	1	no	—
881	#552	—	13	1	no	—
882	#552	—	26	1	no	—
883	#552	—	26	1	no	—
884	#551	—	26	1	no	—
885	#551	—	26	1	no	—
886	D₄×Q₈	—	13	1	no	—
887	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
888	#548	—	13	1	no	—
889	#548	—	13	1	no	—
890	#547	—	13	1	no	—
891	#547	—	13	1	no	—
892	#547	—	26	1	no	—
893	#547	—	26	1	no	—
894	#546	—	13	1	no	—
895	#546	—	13	1	no	—
896	#546	—	26	1	no	—
897	#546	—	26	1	no	—
898	#544	—	13	1	no	—
899	#542	—	26	1	no	—
900	#541	—	26	1	no	—
901	#537	—	13	1	no	—
902	#537	—	26	1	no	—
903	#536	—	13	1	no	—
904	#536	—	13	1	no	—
905	#536	—	26	1	no	—
906	#533	—	26	1	no	—
907	#529	—	26	1	no	—
908	#525	—	13	1	no	—
909	#525	—	26	1	no	—
910	C₂×C₂²⋊Q₈	—	13	1	no	—
911	C₂×C₂²⋊Q₈	—	13	1	no	—
912	C₂×C₂²⋊Q₈	—	26	1	no	—
913	#520	—	13	1	no	—
914	#520	—	13	1	no	—
915	#519	—	13	1	no	—
916	C₂×#117	—	13	1	no	—
917	#491	—	13	1	no	—
918	#491	—	13	1	no	—
919	#489	—	13	1	no	—
920	#489	—	13	1	no	—
921	#488	—	13	1	no	—
922	#488	—	13	1	no	—
923	#487	—	13	1	no	—
924	#487	C₂×D₁₃	1	1	yes	characteristic, complemented
925	#485	—	13	1	no	—
926	#485	—	13	1	no	—
927	#485	—	13	1	no	—
928	#485	—	13	1	no	—
929	#485	—	13	1	no	—
930	#485	—	13	1	no	—
931	#484	—	13	1	no	—
932	#484	—	13	1	no	—
933	#484	C₂×D₁₃	1	1	yes	characteristic
934	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#483	—	13	1	no	—
936	#483	—	13	1	no	—
937	#482	—	13	1	no	—
938	#482	—	13	1	no	—
939	#480	—	13	1	no	—
940	#480	—	13	1	no	—
941	#479	—	13	1	no	—
942	#479	—	13	1	no	—
943	#478	—	13	1	no	—
944	#478	—	13	1	no	—
945	#477	—	13	1	no	—
946	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#474	—	13	1	no	—
948	#474	—	13	1	no	—
949	#470	—	13	1	no	—
950	#470	—	13	1	no	—
951	#468	—	13	1	no	—
952	#468	—	13	1	no	—
953	#467	—	13	1	no	—
954	#467	—	13	1	no	—
955	#467	—	13	1	no	—
956	#467	—	13	1	no	—
957	#467	—	13	1	no	—
958	#467	—	13	1	no	—
959	#467	—	13	1	no	—
960	#467	—	13	1	no	—
961	#467	C₂×D₁₃	1	1	yes	characteristic
962	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
963	#465	—	13	1	no	—
964	#465	—	13	1	no	—
965	#464	—	13	1	no	—
966	#464	—	13	1	no	—
967	#464	—	13	1	no	—
968	#464	—	13	1	no	—
969	#462	—	13	1	no	—
970	#462	—	13	1	no	—
971	#462	—	13	1	no	—
972	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#452	—	13	1	no	—
974	#452	—	13	1	no	—
975	#452	—	13	1	no	—
976	#452	—	13	1	no	—
977	#452	—	13	1	no	—
978	#452	—	13	1	no	—
979	#452	—	13	1	no	—
980	#452	—	13	1	no	—
981	#451	—	13	1	no	—
982	#451	—	13	1	no	—
983	#451	—	13	1	no	—
984	#451	—	13	1	no	—
985	#451	C₂×D₁₃	1	1	yes	characteristic
986	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#450	—	13	1	no	—
988	#450	—	13	1	no	—
989	#441	—	13	1	no	—
990	#441	—	13	1	no	—
991	#440	—	13	1	no	—
992	#440	—	13	1	no	—
993	C₄×Q₁₆	—	13	1	no	—
994	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	#435	—	13	1	no	—
998	#435	—	13	1	no	—
999	#435	—	13	1	no	—
1000	#435	—	13	1	no	—
1001	C₈×D₄	—	13	1	no	—
1002	C₈×D₄	—	13	1	no	—
1003	C₈×D₄	—	13	1	no	—
1004	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
1005	#428	—	13	1	no	—
1006	#428	—	13	1	no	—
1007	C₂×#107	—	13	1	no	—
1008	#424	—	13	1	no	—
1009	#419	—	13	1	no	—
1010	#419	—	13	1	no	—
1011	#419	—	13	1	no	—
1012	#419	—	13	1	no	—
1013	#417	—	13	1	no	—
1014	#417	—	13	1	no	—
1015	#417	—	13	1	no	—
1016	#417	—	13	1	no	—
1017	#416	—	13	1	no	—
1018	#416	—	13	1	no	—
1019	#416	—	13	1	no	—
1020	#416	—	13	1	no	—
1021	#416	—	13	1	no	—
1022	#416	—	13	1	no	—
1023	#416	—	13	1	no	—
1024	#416	—	13	1	no	—
1025	#416	—	13	1	no	—
1026	#416	—	13	1	no	—
1027	C₂×#103	—	13	1	no	—
1028	C₂×#103	—	13	1	no	—
1029	C₂×#103	—	13	1	no	—
1030	C₂×#103	—	13	1	no	—
1031	C₂×#103	C₂×D₁₃	1	1	yes	characteristic
1032	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1033	C₂×#102	—	13	1	no	—
1034	C₂×#102	—	13	1	no	—
1035	#408	—	13	1	no	—
1036	#407	—	13	1	no	—
1037	#405	—	13	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	2	1	no	—
1040	C₂²×C₁₃	—	2	1	no	—
1041	C₂²×C₁₃	—	2	1	no	—
1042	C₂²×C₁₃	—	2	1	no	—
1043	C₂²×C₁₃	#578	1	2	yes	—
1044	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	2	1	no	—
1047	C₂×D₁₃	—	2	1	no	—
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	2	2	no	—
1051	C₂×D₁₃	—	2	1	no	—
1052	C₂×D₁₃	—	2	1	no	—
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	4	4	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	8	4	no	—
1061	C₂×D₁₃	#546	1	2	yes	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	2	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1075	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1076	Dic₁₃	—	2	1	no	—
1077	Dic₁₃	—	2	1	no	—
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	2	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	#546	1	2	yes	—
1087	2₋¹⁺⁴	—	26	4	no	—
1088	2₋¹⁺⁴	—	52	2	no	—
1089	C₂×#41	—	13	1	no	—
1090	C₂×#41	—	13	1	no	—
1091	C₂×#41	—	13	1	no	—
1092	C₂×#41	—	13	1	no	—
1093	C₂×#41	—	13	1	no	—
1094	C₂×#41	—	13	1	no	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	26	1	no	—
1097	C₂×#41	—	26	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	—	26	1	no	—
1100	C₂×#41	—	26	1	no	—
1101	C₂×#41	—	26	4	no	—
1102	C₂×#41	—	52	2	no	—
1103	C₂²×Q₈	—	13	1	no	—
1104	C₂²×Q₈	—	13	1	no	—
1105	C₂²×Q₈	—	13	1	no	—
1106	C₂²×Q₈	—	26	1	no	—
1107	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂²×D₄	—	13	1	no	—
1110	C₂²×D₄	—	26	1	no	—
1111	C₂³×C₄	—	13	1	no	—
1112	C₂³×C₄	—	26	1	no	—
1113	#137	—	26	4	no	—
1114	#137	—	52	2	no	—
1115	C₂×Q₁₆	—	13	1	no	—
1116	C₂×Q₁₆	—	13	1	no	—
1117	C₂×Q₁₆	—	13	1	no	—
1118	C₂×Q₁₆	—	13	1	no	—
1119	C₂×Q₁₆	—	13	1	no	—
1120	C₂×Q₁₆	—	52	2	no	—
1121	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×SD₁₆	—	13	1	no	—
1125	C₂×SD₁₆	—	13	1	no	—
1126	C₂×SD₁₆	—	13	1	no	—
1127	C₂×SD₁₆	—	13	1	no	—
1128	#131	—	52	2	no	—
1129	C₂×M₁₆	—	13	1	no	—
1130	C₂×M₁₆	—	13	1	no	—
1131	C₂×M₁₆	—	13	1	no	—
1132	C₂×M₁₆	—	13	1	no	—
1133	C₂²×C₈	—	13	1	no	—
1134	C₂²×C₈	—	13	1	no	—
1135	C₂²×C₈	—	13	1	no	—
1136	C₂²×C₈	—	13	1	no	—
1137	C₂²×C₈	—	13	1	no	—
1138	C₂²×C₈	—	13	1	no	—
1139	C₂²×C₈	—	52	2	no	—
1140	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1142	C₄⋊Q₈	—	2	1	no	—
1143	C₄⋊Q₈	—	13	1	no	—
1144	C₄⋊Q₈	—	13	1	no	—
1145	C₄⋊Q₈	—	26	1	no	—
1146	C₄⋊Q₈	—	26	1	no	—
1147	C₄⋊Q₈	—	26	1	no	—
1148	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1150	#126	—	26	1	no	—
1151	#126	—	26	1	no	—
1152	#126	—	26	1	no	—
1153	#126	—	26	1	no	—
1154	#126	—	26	1	no	—
1155	#126	—	26	1	no	—
1156	#126	—	26	1	no	—
1157	#126	—	26	1	no	—
1158	#125	—	2	1	no	—
1159	#125	—	13	1	no	—
1160	#125	—	13	1	no	—
1161	#125	—	26	1	no	—
1162	#125	—	26	1	no	—
1163	#125	—	26	1	no	—
1164	#125	—	26	1	no	—
1165	#125	—	26	1	no	—
1166	#125	—	26	1	no	—
1167	#124	—	13	1	no	—
1168	#124	—	13	1	no	—
1169	#124	—	26	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	—	26	1	no	—
1173	#124	—	26	1	no	—
1174	#123	—	13	1	no	—
1175	#123	—	13	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	13	1	no	—
1195	C₂²⋊Q₈	—	13	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	13	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	13	1	no	—
1205	C₂²⋊Q₈	—	13	1	no	—
1206	C₂²⋊Q₈	—	26	1	no	—
1207	C₂²⋊Q₈	—	26	1	no	—
1208	C₂²⋊Q₈	—	26	1	no	—
1209	C₂²⋊Q₈	—	26	1	no	—
1210	C₂²⋊Q₈	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1225	#121	—	13	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	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	#120	—	13	1	no	—
1239	#120	—	13	1	no	—
1240	#120	—	26	1	no	—
1241	#120	—	26	1	no	—
1242	C₄×Q₈	—	13	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×Q₈	—	13	1	no	—
1246	C₄×Q₈	—	26	1	no	—
1247	C₄×Q₈	—	26	1	no	—
1248	C₄×Q₈	—	26	1	no	—
1249	C₄×Q₈	—	26	1	no	—
1250	C₄×Q₈	—	26	1	no	—
1251	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	26	1	no	—
1261	C₄×D₄	—	26	1	no	—
1262	C₄×D₄	—	26	1	no	—
1263	C₄×D₄	—	26	1	no	—
1264	C₄×D₄	—	26	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	13	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	13	1	no	—
1276	#117	—	13	1	no	—
1277	#117	—	26	1	no	—
1278	#117	—	26	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	—	26	1	no	—
1282	#117	—	26	1	no	—
1283	#117	—	26	1	no	—
1284	#117	—	26	1	no	—
1285	#117	—	26	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	26	1	no	—
1291	C₂×C₄⋊C₄	—	26	1	no	—
1292	C₂×C₄⋊C₄	—	26	1	no	—
1293	C₂×C₄⋊C₄	—	26	1	no	—
1294	C₂×C₄⋊C₄	—	26	1	no	—
1295	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₄²	—	26	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#107	C₂²×D₁₃	1	1	yes	characteristic
1309	#107	C₂²×D₁₃	1	1	yes	characteristic
1310	#107	C₂²×D₁₃	1	1	yes	characteristic
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	—	13	1	no	—
1314	#106	—	13	1	no	—
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	C₂²×D₁₃	1	1	yes	characteristic
1338	#103	C₂²×D₁₃	1	1	yes	characteristic
1339	#103	C₂²×D₁₃	1	1	yes	characteristic
1340	#103	C₂²×D₁₃	1	1	yes	characteristic
1341	#103	C₂²×D₁₃	1	1	yes	characteristic
1342	#103	C₂²×D₁₃	1	1	yes	characteristic
1343	#103	C₂²×D₁₃	1	1	yes	characteristic
1344	#103	C₂²×D₁₃	1	1	yes	characteristic
1345	#103	C₂²×D₁₃	1	1	yes	characteristic
1346	#103	C₂²×D₁₃	1	1	yes	characteristic
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	C₂²⋊C₈	—	13	1	no	—
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1367	#97	—	13	1	no	—
1368	#97	—	13	1	no	—
1369	C₄×C₈	—	13	1	no	—
1370	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1371	C₂×C₁₃	—	2	2	no	—
1372	C₂×C₁₃	—	4	1	no	—
1373	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1374	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1375	C₂×C₁₃	#3584	1	1	yes	characteristic
1376	D₁₃	—	2	2	no	—
1377	D₁₃	—	4	1	no	—
1378	D₁₃	—	4	1	no	—
1379	D₁₃	—	4	2	no	—
1380	D₁₃	—	8	1	no	—
1381	C₂⁴	—	13	1	no	—
1382	C₂⁴	—	26	1	no	—
1383	#41	—	13	4	no	—
1384	#41	—	26	2	no	—
1385	#41	—	26	2	no	—
1386	#41	—	26	2	no	—
1387	#41	—	26	2	no	—
1388	#41	—	26	2	no	—
1389	#41	—	26	2	no	—
1390	#41	—	26	2	no	—
1391	#41	—	26	2	no	—
1392	#41	—	26	2	no	—
1393	#41	—	52	1	no	—
1394	#41	—	52	4	no	—
1395	#41	—	52	4	no	—
1396	#41	—	52	4	no	—
1397	#41	—	52	1	no	—
1398	#41	—	52	1	no	—
1399	#41	—	52	1	no	—
1400	#41	—	52	4	no	—
1401	#41	—	52	4	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	1	no	—
1404	C₂×Q₈	—	2	1	no	—
1405	C₂×Q₈	—	2	2	no	—
1406	C₂×Q₈	—	2	2	no	—
1407	C₂×Q₈	—	4	1	no	—
1408	C₂×Q₈	—	4	1	no	—
1409	C₂×Q₈	—	13	1	no	—
1410	C₂×Q₈	—	13	1	no	—
1411	C₂×Q₈	—	13	1	no	—
1412	C₂×Q₈	—	26	1	no	—
1413	C₂×Q₈	—	26	1	no	—
1414	C₂×Q₈	—	26	1	no	—
1415	C₂×Q₈	—	26	1	no	—
1416	C₂×Q₈	—	26	2	no	—
1417	C₂×Q₈	—	26	2	no	—
1418	C₂×Q₈	—	26	2	no	—
1419	C₂×Q₈	—	26	2	no	—
1420	C₂×Q₈	—	26	2	no	—
1421	C₂×Q₈	—	52	1	no	—
1422	C₂×Q₈	—	52	4	no	—
1423	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1424	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1425	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1426	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂×D₄	—	13	1	no	—
1428	C₂×D₄	—	13	1	no	—
1429	C₂×D₄	—	13	1	no	—
1430	C₂×D₄	—	13	1	no	—
1431	C₂×D₄	—	13	1	no	—
1432	C₂×D₄	—	13	1	no	—
1433	C₂×D₄	—	13	1	no	—
1434	C₂×D₄	—	13	1	no	—
1435	C₂×D₄	—	26	2	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	52	1	no	—
1446	C₂×D₄	—	52	4	no	—
1447	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	1	no	—
1456	C₂²×C₄	—	13	1	no	—
1457	C₂²×C₄	—	13	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	2	no	—
1460	C₂²×C₄	—	26	2	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	26	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	52	4	no	—
1476	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1478	Q₁₆	—	2	2	no	—
1479	Q₁₆	—	4	1	no	—
1480	Q₁₆	—	4	1	no	—
1481	Q₁₆	—	26	2	no	—
1482	Q₁₆	—	52	1	no	—
1483	Q₁₆	—	52	1	no	—
1484	Q₁₆	—	52	1	no	—
1485	Q₁₆	—	52	1	no	—
1486	SD₁₆	—	26	2	no	—
1487	SD₁₆	—	26	2	no	—
1488	SD₁₆	—	52	1	no	—
1489	SD₁₆	—	52	1	no	—
1490	M₁₆	—	26	2	no	—
1491	M₁₆	—	26	2	no	—
1492	M₁₆	—	52	1	no	—
1493	M₁₆	—	52	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	—	4	1	no	—
1496	C₂×C₈	—	13	1	no	—
1497	C₂×C₈	—	13	1	no	—
1498	C₂×C₈	—	13	1	no	—
1499	C₂×C₈	—	13	1	no	—
1500	C₂×C₈	—	26	2	no	—
1501	C₂×C₈	—	26	2	no	—
1502	C₂×C₈	—	52	1	no	—
1503	C₂×C₈	—	52	1	no	—
1504	C₂×C₈	—	52	1	no	—
1505	C₂×C₈	—	52	1	no	—
1506	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	1	no	—
1524	C₄⋊C₄	—	13	1	no	—
1525	C₄⋊C₄	—	13	1	no	—
1526	C₄⋊C₄	—	13	1	no	—
1527	C₄⋊C₄	—	13	1	no	—
1528	C₄⋊C₄	—	13	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1556	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1557	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	13	1	no	—
1565	C₂²⋊C₄	—	13	1	no	—
1566	C₂²⋊C₄	—	13	1	no	—
1567	C₂²⋊C₄	—	13	1	no	—
1568	C₂²⋊C₄	—	13	1	no	—
1569	C₂²⋊C₄	—	13	1	no	—
1570	C₂²⋊C₄	—	13	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1597	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1598	C₄²	—	2	1	no	—
1599	C₄²	—	2	1	no	—
1600	C₄²	—	13	1	no	—
1601	C₄²	—	26	1	no	—
1602	C₄²	—	26	1	no	—
1603	C₄²	—	26	1	no	—
1604	C₄²	—	26	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₄²	—	26	1	no	—
1609	C₄²	—	26	1	no	—
1610	C₄²	—	26	1	no	—
1611	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1612	C₁₃	#61173	1	1	yes	characteristic, complemented, Sylow
1613	C₂³	—	13	1	no	—
1614	C₂³	—	13	1	no	—
1615	C₂³	—	13	1	no	—
1616	C₂³	—	26	2	no	—
1617	C₂³	—	26	2	no	—
1618	C₂³	—	26	1	no	—
1619	C₂³	—	26	1	no	—
1620	C₂³	—	52	1	no	—
1621	C₂³	—	52	2	no	—
1622	C₂³	—	52	2	no	—
1623	C₂³	—	104	1	no	—
1624	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1625	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1626	Q₈	—	2	1	no	—
1627	Q₈	—	2	1	no	—
1628	Q₈	—	2	1	no	—
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	2	1	no	—
1632	Q₈	—	2	1	no	—
1633	Q₈	—	4	2	no	—
1634	Q₈	—	4	2	no	—
1635	Q₈	—	8	1	no	—
1636	Q₈	—	26	2	no	—
1637	Q₈	—	26	1	no	—
1638	Q₈	—	26	1	no	—
1639	Q₈	—	26	1	no	—
1640	Q₈	—	26	1	no	—
1641	Q₈	—	52	2	no	—
1642	Q₈	—	52	2	no	—
1643	Q₈	—	52	2	no	—
1644	Q₈	—	104	1	no	—
1645	Q₈	#41×D₁₃	1	2	yes	—
1646	D₄	—	2	2	no	—
1647	D₄	—	13	2	no	—
1648	D₄	—	26	2	no	—
1649	D₄	—	26	4	no	—
1650	D₄	—	26	2	no	—
1651	D₄	—	26	2	no	—
1652	D₄	—	26	2	no	—
1653	D₄	—	26	1	no	—
1654	D₄	—	26	1	no	—
1655	D₄	—	26	1	no	—
1656	D₄	—	52	1	no	—
1657	D₄	—	52	2	no	—
1658	D₄	—	52	2	no	—
1659	D₄	—	52	2	no	—
1660	D₄	—	52	2	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	52	1	no	—
1663	D₄	—	52	2	no	—
1664	D₄	—	104	1	no	—
1665	D₄	—	104	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	2	no	—
1684	C₂×C₄	—	13	2	no	—
1685	C₂×C₄	—	13	1	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	1	no	—
1689	C₂×C₄	—	26	2	no	—
1690	C₂×C₄	—	26	4	no	—
1691	C₂×C₄	—	26	2	no	—
1692	C₂×C₄	—	26	2	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	26	1	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	26	1	no	—
1701	C₂×C₄	—	26	1	no	—
1702	C₂×C₄	—	26	1	no	—
1703	C₂×C₄	—	52	2	no	—
1704	C₂×C₄	—	52	2	no	—
1705	C₂×C₄	—	52	2	no	—
1706	C₂×C₄	—	52	2	no	—
1707	C₂×C₄	—	52	2	no	—
1708	C₂×C₄	—	52	2	no	—
1709	C₂×C₄	—	52	2	no	—
1710	C₂×C₄	—	52	2	no	—
1711	C₂×C₄	—	52	2	no	—
1712	C₂×C₄	—	104	1	no	—
1713	C₂×C₄	—	104	1	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1718	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1721	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1722	C₈	—	2	1	no	—
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	26	1	no	—
1727	C₈	—	26	1	no	—
1728	C₈	—	26	1	no	—
1729	C₈	—	26	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	13	2	no	—
1736	C₂²	—	26	1	no	—
1737	C₂²	—	26	1	no	—
1738	C₂²	—	26	1	no	—
1739	C₂²	—	26	2	no	—
1740	C₂²	—	26	1	no	—
1741	C₂²	—	26	1	no	—
1742	C₂²	—	26	1	no	—
1743	C₂²	—	26	1	no	—
1744	C₂²	—	26	1	no	—
1745	C₂²	—	52	4	no	—
1746	C₂²	—	52	1	no	—
1747	C₂²	—	52	1	no	—
1748	C₂²	—	52	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	104	4	no	—
1752	C₂²	#11719471	1	2	yes	—
1753	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	2	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	13	2	no	—
1767	C₄	—	26	1	no	—
1768	C₄	—	26	1	no	—
1769	C₄	—	26	1	no	—
1770	C₄	—	26	1	no	—
1771	C₄	—	52	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	—	52	1	no	—
1776	C₄	—	52	1	no	—
1777	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1778	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1779	C₂	—	2	2	no	—
1780	C₂	—	4	1	no	—
1781	C₂	—	26	2	no	—
1782	C₂	—	52	1	no	—
1783	C₂	—	52	1	no	—
1784	C₂	—	52	2	no	—
1785	C₂	—	104	1	no	—
1786	C₂	D₁₃×#546	1	1	yes	characteristic
1787	C₂	C₂×#11719471	1	1	yes	characteristic
1788	C₂	#13129608	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3299	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128513	C₂
hypercenter	#3299	D₁₃
hypocenter	C₁₃	#61173
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3299

Complements

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

N	H ≅ G/N	type
1. #13128584	C₂	semidirect
3. #13126939	C₂	semidirect
4. #13126935	C₂	semidirect
5. #13126915	C₂	semidirect
6. #13126911	C₂	semidirect
7. #13126899	C₂	semidirect
8. #13126895	C₂	semidirect
9. #13126891	C₂	semidirect
10. #13126887	C₂	semidirect
11. #13126752	C₂	semidirect
12. #13126748	C₂	semidirect
13. #13126728	C₂	semidirect
14. #13126719	C₂	semidirect
15. #13126708	C₂	semidirect
16. #13126677	C₂	semidirect
17. #13126673	C₂	semidirect
18. #13125196	C₂	semidirect
19. #13124815	C₂	semidirect
20. #13124781	C₂	semidirect
21. #13124684	C₂	semidirect
22. #13124526	C₂	semidirect
23. D₁₃×#467	C₂	semidirect
24. #13124361	C₂	semidirect
25. #13124126	C₂	semidirect
26. #13124095	C₂	semidirect
27. #13123674	C₂	semidirect
28. #13123525	C₂	semidirect
29. #13123364	C₂	semidirect
30. C₂×#11718465	C₂	semidirect
31. C₁₃×#3299	C₂	semidirect
40. C₂×Q₁₆×D₁₃	C₂²	semidirect
41. C₂×#88155	C₂²	semidirect
43. #11719437	C₂²	semidirect
44. #11719434	C₂²	semidirect
52. #11719346	C₂²	semidirect
62. #11719333	C₂²	semidirect
67. #11719286	C₂²	semidirect
70. #11719277	C₂²	semidirect
78. #11719218	C₂²	semidirect
80. #11719209	C₂²	semidirect
82. C₁₃×#487	C₂²	semidirect
84. C₁₃×#484	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₄×C₁₃×Q₁₆	C₂²	semidirect
94. C₂×C₁₃×#103	C₂²	semidirect
96. #11718889	C₂²	semidirect
97. #11718886	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718849	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718846	C₂²	semidirect
106. #11718845	C₂²	semidirect
107. #11718843	C₂²	semidirect
109. #11718775	C₂²	semidirect
110. #11718774	C₂²	semidirect
113. C₈×C₂²⋊D₁₃	C₂²	semidirect
114. #11718751	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718748	C₂²	semidirect
117. #11718743	C₂²	semidirect
118. #11718713	C₂²	semidirect
121. #11718710	C₂²	semidirect
122. #11718708	C₂²	semidirect
124. #11718706	C₂²	semidirect
126. #11718691	C₂²	semidirect
127. #11718689	C₂²	semidirect
128. #11718687	C₂²	semidirect
129. #11718683	C₂²	semidirect
132. #11718628	C₂²	semidirect
133. #11718627	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718551	C₂²	semidirect
137. #11718550	C₂²	semidirect
138. #11718549	C₂²	semidirect
139. #11718549	C₂²	semidirect
140. #11718548	C₂²	semidirect
141. #11718547	C₂²	semidirect
142. #11718546	C₂²	semidirect
143. #11718543	C₂²	semidirect
144. #11718542	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. D₁₃×#107	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718497	C₂²	semidirect
151. #11718476	C₂²	semidirect
152. #11718476	C₂²	semidirect
153. #11718476	C₂²	semidirect
154. #11718474	C₂²	semidirect
155. #11718474	C₂²	semidirect
156. #11718474	C₂²	semidirect
159. #11718471	C₂²	semidirect
160. #11718470	C₂²	semidirect
161. #11718469	C₂²	semidirect
162. #11718468	C₂²	semidirect
171. #11718465	C₂²	semidirect
174. #11718464	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718463	C₂²	semidirect
177. #11718463	C₂²	semidirect
178. D₁₃×#103	C₂²	semidirect
179. D₁₃×#103	C₂²	semidirect
180. D₁₃×#103	C₂²	semidirect
181. #11718461	C₂²	semidirect
182. #11718460	C₂²	semidirect
183. #11718459	C₂²	semidirect
184. #11718458	C₂²	semidirect
185. #11718456	C₂²	semidirect
186. #11718455	C₂²	semidirect
187. #11718454	C₂²	semidirect
188. #11718453	C₂²	semidirect
189. #11718451	C₂²	semidirect
190. #11718449	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
195. #11718389	C₂²	semidirect
196. #11718388	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. C₈×D₅₂	C₂²	semidirect
734. #3299	D₁₃	semidirect
924. #487	C₂×D₁₃	semidirect
934. #484	C₂×D₁₃	semidirect
946. #477	C₂×D₁₃	semidirect
962. #467	C₂×D₁₃	semidirect
972. #462	C₂×D₁₃	semidirect
986. #451	C₂×D₁₃	semidirect
994. C₄×Q₁₆	C₂×D₁₃	semidirect
1032. C₂×#103	C₂×D₁₃	semidirect
1612. C₁₃	#61173	semidirect

Maximal subgroups

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

subgroup	index
#13128584	2
#13128513	2
#13126939	2
#13126935	2
#13126915	2
#13126911	2
#13126899	2
#13126895	2
#13126891	2
#13126887	2
#13126752	2
#13126748	2
#13126728	2
#13126719	2
#13126708	2
#13126677	2
#13126673	2
#13125196	2
#13124815	2
#13124781	2
#13124684	2
#13124526	2
D₁₃×#467	2
#13124361	2
#13124126	2
#13124095	2
#13123674	2
#13123525	2
#13123364	2
C₂×#11718465	2
C₁₃×#3299	2
#61173	13