Subgroups — #16748549

Order 3328.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128483	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127113	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127098	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127001	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126896	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126881	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126732	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126706	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×#6107	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126573	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126489	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126478	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126407	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126402	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126402	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126387	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125939	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125913	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125727	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125712	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125666	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125624	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125131	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125059	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124148	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124129	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124069	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718711	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123884	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3541	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂³×Dic₂₆	C₂²	1	1	yes	characteristic
34	C₁₃×#563	—	2	1	no	—
35	C₁₃×#562	—	2	1	no	—
36	C₁₃×#556	C₂²	1	1	yes	characteristic
37	C₁₃×#554	—	2	1	no	—
38	C₁₃×#554	C₂²	1	1	yes	characteristic
39	C₁₃×#553	—	2	1	no	—
40	C₁₃×#553	C₂²	1	1	yes	characteristic
41	C₁₃×#552	C₂²	1	1	yes	characteristic
42	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₁₃×#548	C₂²	1	1	yes	characteristic
44	C₁₃×#548	C₂²	1	1	yes	characteristic
45	C₁₃×#547	C₂²	1	1	yes	characteristic
46	C₁₃×#542	—	2	1	no	—
47	C₁₃×#542	C₂²	1	1	yes	characteristic
48	C₁₃×#541	C₂²	1	1	yes	characteristic
49	C₁₃×#539	—	2	1	no	—
50	C₁₃×#538	—	2	1	no	—
51	C₁₃×#538	—	2	1	no	—
52	C₁₃×#537	C₂²	1	1	yes	characteristic
53	C₁₃×#536	C₂²	1	1	yes	characteristic
54	C₁₃×#525	C₂²	1	1	yes	characteristic
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	#11719530	C₂²	1	1	yes	characteristic
58	C₂×#88205	C₂²	1	1	yes	characteristic
59	C₂×#88205	C₂²	1	1	yes	characteristic
60	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#6107	C₂²	1	1	yes	characteristic
63	C₂²×#6107	C₂²	1	1	yes	characteristic
64	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
66	#11719496	C₂²	1	1	yes	characteristic
67	#11719353	—	2	1	no	—
68	#11719353	—	2	1	no	—
69	#11719337	—	2	1	no	—
70	#11719337	—	2	1	no	—
71	#11719303	—	2	1	no	—
72	#11719303	—	2	1	no	—
73	#11719291	—	2	1	no	—
74	#11719291	—	2	1	no	—
75	#11719257	C₂²	1	1	yes	characteristic
76	#11719257	C₂²	1	1	yes	characteristic
77	#11719257	C₂²	1	1	yes	characteristic
78	#11719257	C₂²	1	1	yes	characteristic
79	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
80	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
81	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
82	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
83	#11719231	C₂²	1	1	yes	characteristic
84	#11719221	C₂²	1	1	yes	characteristic
85	#11718900	C₂²	1	1	yes	characteristic
86	#11718900	C₂²	1	1	yes	characteristic, complemented
87	#11718900	C₂²	1	1	yes	characteristic, complemented
88	#11718899	C₂²	1	1	yes	characteristic
89	#11718895	C₂²	1	1	yes	characteristic
90	#11718895	C₂²	1	1	yes	characteristic
91	#11718889	C₂²	1	1	yes	characteristic
92	#11718889	C₂²	1	1	yes	characteristic, complemented
93	#11718889	C₂²	1	1	yes	characteristic, complemented
94	#11718888	C₂²	1	1	yes	characteristic
95	#11718868	C₂²	1	1	yes	characteristic
96	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
97	#11718755	C₂²	1	1	yes	characteristic, complemented
98	#11718754	C₂²	1	1	yes	characteristic, complemented
99	#11718753	C₂²	1	1	yes	characteristic, complemented
100	#11718752	C₂²	1	1	yes	characteristic, complemented
101	#11718751	C₂²	1	1	yes	characteristic, complemented
102	#11718751	C₂²	1	1	yes	characteristic, complemented
103	#11718750	C₂²	1	1	yes	characteristic, complemented
104	#11718747	C₂²	1	1	yes	characteristic, complemented
105	#11718730	C₂²	1	1	yes	characteristic, complemented
106	#11718729	C₂²	1	1	yes	characteristic, complemented
107	#11718724	C₂²	1	1	yes	characteristic, complemented
108	#11718724	C₂²	1	1	yes	characteristic, complemented
109	#11718721	C₂²	1	1	yes	characteristic, complemented
110	#11718720	C₂²	1	1	yes	characteristic, complemented
111	#11718715	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic
114	#11718713	C₂²	1	1	yes	characteristic
115	#11718713	C₂²	1	1	yes	characteristic, complemented
116	#11718713	C₂²	1	1	yes	characteristic, complemented
117	#11718713	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718712	C₂²	1	1	yes	characteristic, complemented
121	#11718712	C₂²	1	1	yes	characteristic, complemented
122	#11718711	C₂²	1	1	yes	characteristic
123	#11718711	C₂²	1	1	yes	characteristic
124	#11718711	C₂²	1	1	yes	characteristic
125	#11718711	C₂²	1	1	yes	characteristic
126	#11718711	C₂²	1	1	yes	characteristic
127	#11718711	C₂²	1	1	yes	characteristic
128	#11718711	C₂²	1	1	yes	characteristic
129	#11718711	C₂²	1	1	yes	characteristic
130	#11718711	C₂²	1	1	yes	characteristic
131	#11718711	C₂²	1	1	yes	characteristic
132	#11718711	C₂²	1	1	yes	characteristic
133	#11718711	C₂²	1	1	yes	characteristic
134	#11718711	C₂²	1	1	yes	characteristic, complemented
135	#11718711	C₂²	1	1	yes	characteristic, complemented
136	#11718711	C₂²	1	1	yes	characteristic, complemented
137	#11718710	C₂²	1	1	yes	characteristic
138	#11718710	C₂²	1	1	yes	characteristic
139	#11718709	C₂²	1	1	yes	characteristic
140	#11718708	C₂²	1	1	yes	characteristic
141	#11718708	C₂²	1	1	yes	characteristic
142	#11718708	C₂²	1	1	yes	characteristic
143	#11718708	C₂²	1	1	yes	characteristic, complemented
144	#11718708	C₂²	1	1	yes	characteristic, complemented
145	#11718708	C₂²	1	1	yes	characteristic, complemented
146	#11718706	C₂²	1	1	yes	characteristic
147	#11718706	C₂²	1	1	yes	characteristic
148	#11718706	C₂²	1	1	yes	characteristic
149	#11718703	C₂²	1	1	yes	characteristic, complemented
150	#11718702	C₂²	1	1	yes	characteristic
151	#11718702	C₂²	1	1	yes	characteristic, complemented
152	#11718701	C₂²	1	1	yes	characteristic
153	#11718701	C₂²	1	1	yes	characteristic
154	#11718701	C₂²	1	1	yes	characteristic
155	#11718701	C₂²	1	1	yes	characteristic
156	#11718701	C₂²	1	1	yes	characteristic, complemented
157	#11718699	C₂²	1	1	yes	characteristic
158	#11718698	C₂²	1	1	yes	characteristic
159	#11718698	C₂²	1	1	yes	characteristic, complemented
160	#11718696	C₂²	1	1	yes	characteristic
161	#11718692	C₂²	1	1	yes	characteristic, complemented
162	#11718692	C₂²	1	1	yes	characteristic, complemented
163	#11718692	C₂²	1	1	yes	characteristic, complemented
164	#11718691	C₂²	1	1	yes	characteristic, complemented
165	#11718691	C₂²	1	1	yes	characteristic, complemented
166	#11718691	C₂²	1	1	yes	characteristic, complemented
167	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
168	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
169	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
170	#11718689	C₂²	1	1	yes	characteristic, complemented
171	#11718689	C₂²	1	1	yes	characteristic, complemented
172	#11718689	C₂²	1	1	yes	characteristic, complemented
173	#11718680	C₂²	1	1	yes	characteristic, complemented
174	#11718679	C₂²	1	1	yes	characteristic, complemented
175	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
176	#11718677	C₂²	1	1	yes	characteristic, complemented
177	#11718673	C₂²	1	1	yes	characteristic
178	#11718673	C₂²	1	1	yes	characteristic
179	#11718672	C₂²	1	1	yes	characteristic
180	#11718672	C₂²	1	1	yes	characteristic
181	#11718672	C₂²	1	1	yes	characteristic
182	#11718672	C₂²	1	1	yes	characteristic
183	D₄×#1055	C₂²	1	1	yes	characteristic
184	D₄×#1055	C₂²	1	1	yes	characteristic
185	#11718665	C₂²	1	1	yes	characteristic
186	#11718665	C₂²	1	1	yes	characteristic
187	#11718665	C₂²	1	1	yes	characteristic, complemented
188	#11718664	C₂²	1	1	yes	characteristic
189	#11718663	C₂²	1	1	yes	characteristic, complemented
190	#11718661	C₂²	1	1	yes	characteristic
191	#11718661	C₂²	1	1	yes	characteristic
192	#11718657	C₂²	1	1	yes	characteristic
193	#11718657	C₂²	1	1	yes	characteristic, complemented
194	#11718657	C₂²	1	1	yes	characteristic, complemented
195	#11718632	C₂²	1	1	yes	characteristic, complemented
196	#11718631	C₂²	1	1	yes	characteristic
197	#11718631	C₂²	1	1	yes	characteristic, complemented
198	C₂×#88050	C₂²	1	1	yes	characteristic
199	C₂×#88050	C₂²	1	1	yes	characteristic
200	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
201	#11718629	C₂²	1	1	yes	characteristic
202	#11718627	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×Dic₁₃	—	2	1	no	—
210	#88257	—	4	2	no	—
211	#88257	—	4	2	no	—
212	C₂×Q₈×D₁₃	—	2	1	no	—
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6127	C₂³	1	1	yes	characteristic
217	C₂×#6127	C₂³	1	1	yes	characteristic
218	C₂×#6127	C₂³	1	1	yes	characteristic
219	C₂²×Dic₂₆	—	2	1	no	—
220	C₂²×Dic₂₆	—	2	1	no	—
221	C₂²×Dic₂₆	—	2	1	no	—
222	C₂²×Dic₂₆	—	4	2	no	—
223	C₂²×Dic₂₆	—	4	2	no	—
224	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
227	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
228	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
229	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊Q₈	—	2	1	no	—
233	C₁₃×C₄⋊Q₈	—	2	1	no	—
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#126	—	2	1	no	—
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#125	—	2	1	no	—
244	C₁₃×#125	—	2	1	no	—
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#125	—	2	1	no	—
247	C₁₃×#125	C₂³	1	1	yes	characteristic
248	C₁₃×#124	—	2	1	no	—
249	C₁₃×#124	—	2	1	no	—
250	C₁₃×#124	—	2	1	no	—
251	C₁₃×#124	—	2	1	no	—
252	C₁₃×#124	—	2	1	no	—
253	C₁₃×#124	C₂³	1	1	yes	characteristic
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×#123	—	2	1	no	—
256	C₁₃×#123	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×#123	—	2	1	no	—
259	C₁₃×#123	—	2	1	no	—
260	C₁₃×#123	—	2	1	no	—
261	C₁₃×#123	—	2	1	no	—
262	C₁₃×#123	D₄	1	1	yes	characteristic
263	C₁₃×#123	D₄	1	1	yes	characteristic
264	C₁₃×C₂²⋊Q₈	—	2	1	no	—
265	C₁₃×C₂²⋊Q₈	—	2	1	no	—
266	C₁₃×C₂²⋊Q₈	—	2	1	no	—
267	C₁₃×C₂²⋊Q₈	—	2	1	no	—
268	C₁₃×C₂²⋊Q₈	—	2	1	no	—
269	C₁₃×C₂²⋊Q₈	—	2	1	no	—
270	C₁₃×C₂²⋊Q₈	—	2	1	no	—
271	C₁₃×C₂²⋊Q₈	—	2	1	no	—
272	C₁₃×C₂²⋊Q₈	—	2	1	no	—
273	C₁₃×C₂²⋊Q₈	—	2	1	no	—
274	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
275	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
276	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
285	C₁₃×#121	—	2	1	no	—
286	C₁₃×#121	—	2	1	no	—
287	C₁₃×#121	—	2	1	no	—
288	C₁₃×#121	—	2	1	no	—
289	C₁₃×#121	—	2	1	no	—
290	C₁₃×#121	—	2	1	no	—
291	C₁₃×#121	—	2	1	no	—
292	C₁₃×#121	D₄	1	1	yes	characteristic
293	C₁₃×#121	D₄	1	1	yes	characteristic
294	C₁₃×#121	C₂³	1	1	yes	characteristic
295	C₁₃×#121	C₂³	1	1	yes	characteristic
296	C₁₃×#121	C₂³	1	1	yes	characteristic
297	C₁₃×#120	—	2	1	no	—
298	C₁₃×#120	D₄	1	1	yes	characteristic
299	C₁₃×#120	D₄	1	1	yes	characteristic
300	C₄×Q₈×C₁₃	—	2	1	no	—
301	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
302	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
304	C₄×D₄×C₁₃	—	2	1	no	—
305	C₄×D₄×C₁₃	—	2	1	no	—
306	C₄×D₄×C₁₃	—	2	1	no	—
307	C₄×D₄×C₁₃	—	2	1	no	—
308	C₄×D₄×C₁₃	—	2	1	no	—
309	C₄×D₄×C₁₃	—	2	1	no	—
310	C₄×D₄×C₁₃	—	2	1	no	—
311	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
315	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
316	C₁₃×#117	—	2	1	no	—
317	C₁₃×#117	C₂³	1	1	yes	characteristic
318	C₁₃×#117	C₂³	1	1	yes	characteristic
319	C₁₃×#117	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
321	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
322	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
325	#88207	—	2	1	no	—
326	#88205	—	4	2	no	—
327	#88205	—	4	2	no	—
328	#88205	—	4	2	no	—
329	#88204	—	4	2	no	—
330	#88198	—	2	1	no	—
331	C₂×#6107	—	4	2	no	—
332	C₂×#6107	—	4	2	no	—
333	C₂×#6107	—	4	2	no	—
334	C₂×#6107	C₂³	1	1	yes	characteristic
335	C₂×#6107	C₂³	1	1	yes	characteristic
336	C₂×#6107	C₂³	1	1	yes	characteristic
337	C₂×#6107	C₂³	1	1	yes	characteristic
338	C₂×#6107	C₂³	1	1	yes	characteristic
339	C₂×#6107	C₂³	1	1	yes	characteristic
340	C₂×#6107	C₂³	1	1	yes	characteristic
341	C₂×#6107	C₂³	1	1	yes	characteristic
342	C₂×#6107	C₂³	1	1	yes	characteristic
343	C₂×#6107	C₂³	1	1	yes	characteristic
344	C₂×#6107	C₂³	1	1	yes	characteristic
345	C₂×#6107	C₂³	1	1	yes	characteristic
346	C₂×#6107	C₂³	1	1	yes	characteristic
347	C₂×#6107	C₂³	1	1	yes	characteristic
348	C₂×#6107	C₂³	1	1	yes	characteristic
349	#88196	—	4	2	no	—
350	C₂×#6106	C₂³	1	1	yes	characteristic
351	C₂×#6106	C₂³	1	1	yes	characteristic
352	C₂×#6106	C₂³	1	1	yes	characteristic
353	#88193	—	2	1	no	—
354	#88193	—	2	1	no	—
355	#88193	—	2	1	no	—
356	#88193	—	2	1	no	—
357	#88190	—	2	1	no	—
358	#88189	—	2	1	no	—
359	#88189	—	2	1	no	—
360	D₄×Dic₁₃	—	2	1	no	—
361	D₄×Dic₁₃	—	2	1	no	—
362	D₄×Dic₁₃	—	2	1	no	—
363	D₄×Dic₁₃	—	2	1	no	—
364	C₂×#6105	C₂³	1	1	yes	characteristic
365	C₂×#6105	C₂³	1	1	yes	characteristic
366	C₂×#6105	C₂³	1	1	yes	characteristic
367	C₂×#6105	C₂³	1	1	yes	characteristic
368	C₂×#6105	C₂³	1	1	yes	characteristic
369	C₂×#6104	C₂³	1	1	yes	characteristic
370	#88184	C₂³	1	1	yes	characteristic
371	#88184	C₂³	1	1	yes	characteristic
372	#88183	—	2	1	no	—
373	C₄×C₂²⋊D₁₃	—	2	1	no	—
374	C₄×C₂²⋊D₁₃	—	2	1	no	—
375	#88180	C₂³	1	1	yes	characteristic
376	#88178	C₂³	1	1	yes	characteristic
377	#88178	C₂³	1	1	yes	characteristic
378	#88178	C₂³	1	1	yes	characteristic
379	#88178	C₂³	1	1	yes	characteristic
380	#88178	C₂³	1	1	yes	characteristic
381	#88178	C₂³	1	1	yes	characteristic
382	C₂×#6099	C₂³	1	1	yes	characteristic
383	C₂×#6099	C₂³	1	1	yes	characteristic
384	C₂×#6099	C₂³	1	1	yes	characteristic
385	C₂×#6099	C₂³	1	1	yes	characteristic
386	C₂²×#1055	C₂³	1	1	yes	characteristic
387	C₂²×#1055	C₂³	1	1	yes	characteristic
388	C₂²×#1055	C₂³	1	1	yes	characteristic
389	C₂²×#1055	C₂³	1	1	yes	characteristic
390	#88151	—	2	1	no	—
391	#88151	—	2	1	no	—
392	#88150	—	2	1	no	—
393	#88150	—	2	1	no	—
394	#88150	—	2	1	no	—
395	#88150	—	2	1	no	—
396	#88142	—	2	1	no	—
397	#88142	—	2	1	no	—
398	#88142	—	2	1	no	—
399	#88142	—	2	1	no	—
400	#88141	—	2	1	no	—
401	#88141	—	2	1	no	—
402	#88140	—	2	1	no	—
403	#88140	—	2	1	no	—
404	#88139	—	2	1	no	—
405	#88139	—	2	1	no	—
406	#88139	—	2	1	no	—
407	#88139	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	—	2	1	no	—
420	#88131	—	2	1	no	—
421	#88131	—	2	1	no	—
422	#88129	C₂³	1	1	yes	characteristic
423	#88129	C₂³	1	1	yes	characteristic
424	#88123	C₂³	1	1	yes	characteristic
425	#88123	C₂³	1	1	yes	characteristic
426	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
427	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	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	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	C₂³	1	1	yes	characteristic
440	C₂²⋊#1055	C₂³	1	1	yes	characteristic
441	C₂²⋊#1055	C₂³	1	1	yes	characteristic
442	C₂²⋊#1055	C₂³	1	1	yes	characteristic
443	C₂²⋊#1055	C₂³	1	1	yes	characteristic
444	C₂²⋊#1055	C₂³	1	1	yes	characteristic
445	C₂²⋊#1055	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	C₂²⋊#1055	C₂³	1	1	yes	characteristic
449	C₂²⋊#1055	C₂³	1	1	yes	characteristic
450	#88050	C₂³	1	1	yes	characteristic
451	#88050	C₂³	1	1	yes	characteristic
452	#88050	C₂³	1	1	yes	characteristic
453	#88050	C₂³	1	1	yes	characteristic
454	#88050	C₂³	1	1	yes	characteristic
455	#88050	C₂³	1	1	yes	characteristic
456	#88050	C₂³	1	1	yes	characteristic
457	#88050	C₂³	1	1	yes	characteristic
458	#88050	C₂³	1	1	yes	characteristic
459	#88050	C₂³	1	1	yes	characteristic
460	#88050	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	#88050	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88050	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	C₄⋊#1055	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#88043	C₂³	1	1	yes	characteristic
488	C₄×#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61612	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	4	1	no	—
530	C₂²×C₄×C₁₃	—	4	1	no	—
531	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	—	2	1	no	—
548	C₂²×Dic₁₃	—	2	1	no	—
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	4	4	no	—
553	Q₈×D₁₃	—	4	4	no	—
554	#6129	—	4	4	no	—
555	#6129	—	4	4	no	—
556	#6129	—	4	4	no	—
557	#6127	—	2	2	no	—
558	#6127	—	2	2	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	1	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	1	no	—
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	—	2	2	no	—
569	C₂×Dic₂₆	—	2	2	no	—
570	C₂×Dic₂₆	—	2	2	no	—
571	C₂×Dic₂₆	—	2	2	no	—
572	C₂×Dic₂₆	—	2	2	no	—
573	C₂×Dic₂₆	—	2	2	no	—
574	C₂×Dic₂₆	—	2	2	no	—
575	C₂×Dic₂₆	—	2	2	no	—
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	—	2	1	no	—
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	—	2	1	no	—
583	C₂×Dic₂₆	—	4	1	no	—
584	C₂×Dic₂₆	—	4	1	no	—
585	C₂×Dic₂₆	—	4	1	no	—
586	C₂×Dic₂₆	—	4	1	no	—
587	C₂×Dic₂₆	—	4	1	no	—
588	C₂×Dic₂₆	—	4	1	no	—
589	C₂×Dic₂₆	—	4	1	no	—
590	C₂×Dic₂₆	—	4	1	no	—
591	C₂×Dic₂₆	—	4	4	no	—
592	C₂×Dic₂₆	—	4	4	no	—
593	C₂×Dic₂₆	—	4	4	no	—
594	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₄²×C₁₃	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
661	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	#6107	—	2	2	no	—
670	#6107	—	2	2	no	—
671	#6107	—	2	2	no	—
672	#6107	—	2	2	no	—
673	#6107	—	2	2	no	—
674	#6107	—	2	2	no	—
675	#6107	—	4	1	no	—
676	#6107	—	4	1	no	—
677	#6107	—	4	1	no	—
678	#6107	—	4	1	no	—
679	#6107	—	4	1	no	—
680	#6107	—	4	1	no	—
681	#6107	—	4	1	no	—
682	#6107	—	4	1	no	—
683	#6107	—	4	1	no	—
684	#6106	—	4	1	no	—
685	#6106	—	4	1	no	—
686	#6106	—	4	1	no	—
687	#6105	—	2	2	no	—
688	#6105	—	2	2	no	—
689	#6105	—	4	1	no	—
690	#6105	—	4	1	no	—
691	#6105	—	4	1	no	—
692	#6104	—	4	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	—	2	1	no	—
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	#6099	—	4	1	no	—
721	#6099	—	4	1	no	—
722	#6099	—	4	1	no	—
723	#6099	—	4	1	no	—
724	C₂×#1055	—	4	1	no	—
725	C₂×#1055	—	4	1	no	—
726	C₂×#1055	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	C₂×#1055	C₂⁴	1	1	yes	characteristic
736	#3541	D₁₃	1	1	yes	characteristic, complemented
737	#3486	—	13	1	no	—
738	#3328	—	13	1	no	—
739	#3327	—	13	1	no	—
740	#3320	—	13	1	no	—
741	#3316	—	13	1	no	—
742	#3313	—	13	1	no	—
743	#3312	—	13	1	no	—
744	#3301	—	13	1	no	—
745	#3299	—	13	1	no	—
746	D₄×Q₁₆	—	13	1	no	—
747	#3285	—	13	1	no	—
748	#3277	—	13	1	no	—
749	#3276	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3270	—	13	1	no	—
752	#3270	—	13	1	no	—
753	#3269	—	13	1	no	—
754	#3225	—	13	1	no	—
755	#3223	—	13	1	no	—
756	#3202	—	13	1	no	—
757	#3201	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3191	—	13	1	no	—
760	#3127	—	13	1	no	—
761	#3121	—	13	1	no	—
762	#3013	—	13	1	no	—
763	#3011	—	13	1	no	—
764	#3004	—	13	1	no	—
765	C₂×#451	—	13	1	no	—
766	#2976	—	13	1	no	—
767	C₂³×C₁₃	—	2	2	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	4	1	no	—
770	C₂³×C₁₃	—	4	1	no	—
771	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂²×D₁₃	—	2	1	no	—
777	Q₈×C₁₃	—	2	1	no	—
778	Q₈×C₁₃	—	2	1	no	—
779	Q₈×C₁₃	—	2	1	no	—
780	Q₈×C₁₃	—	2	1	no	—
781	Q₈×C₁₃	—	2	1	no	—
782	Q₈×C₁₃	—	2	1	no	—
783	Q₈×C₁₃	—	4	1	no	—
784	Q₈×C₁₃	—	8	1	no	—
785	Q₈×C₁₃	—	8	1	no	—
786	Q₈×C₁₃	—	8	1	no	—
787	D₄×C₁₃	—	2	2	no	—
788	D₄×C₁₃	—	2	2	no	—
789	D₄×C₁₃	—	2	1	no	—
790	D₄×C₁₃	—	2	1	no	—
791	D₄×C₁₃	—	4	1	no	—
792	D₄×C₁₃	—	4	1	no	—
793	D₄×C₁₃	—	4	1	no	—
794	D₄×C₁₃	—	4	1	no	—
795	D₄×C₁₃	—	4	1	no	—
796	D₄×C₁₃	—	4	2	no	—
797	D₄×C₁₃	—	8	1	no	—
798	D₄×C₁₃	—	8	1	no	—
799	D₄×C₁₃	—	8	1	no	—
800	D₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	4	1	no	—
819	C₂×C₄×C₁₃	—	4	1	no	—
820	C₂×C₄×C₁₃	—	4	1	no	—
821	C₂×C₄×C₁₃	—	8	1	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	—	8	1	no	—
825	C₂×C₄×C₁₃	—	8	1	no	—
826	C₂×C₄×C₁₃	—	8	1	no	—
827	C₂×C₄×C₁₃	—	8	1	no	—
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂×Dic₁₃	—	2	4	no	—
844	C₂×Dic₁₃	—	2	1	no	—
845	C₂×Dic₁₃	—	2	1	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	4	2	no	—
854	C₂×Dic₁₃	—	4	2	no	—
855	C₂×Dic₁₃	—	4	2	no	—
856	C₂×Dic₁₃	—	4	2	no	—
857	C₂×Dic₁₃	—	4	2	no	—
858	D₅₂	—	2	1	no	—
859	D₅₂	—	2	1	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	Dic₂₆	—	2	4	no	—
864	Dic₂₆	—	2	1	no	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	2	1	no	—
867	Dic₂₆	—	2	1	no	—
868	Dic₂₆	—	2	1	no	—
869	Dic₂₆	—	2	1	no	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	2	1	no	—
872	Dic₂₆	—	4	2	no	—
873	Dic₂₆	—	4	2	no	—
874	Dic₂₆	—	4	2	no	—
875	Dic₂₆	—	4	2	no	—
876	Dic₂₆	—	4	2	no	—
877	Dic₂₆	—	4	2	no	—
878	Dic₂₆	—	4	2	no	—
879	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
880	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	#1055	—	2	1	no	—
885	#1055	—	2	1	no	—
886	#1055	—	2	1	no	—
887	#1055	—	2	1	no	—
888	#1055	—	2	1	no	—
889	C₂×2₋¹⁺⁴	—	13	1	no	—
890	C₂³×Q₈	—	13	1	no	—
891	C₂×#137	—	13	1	no	—
892	C₂×#137	—	13	1	no	—
893	C₂×#137	—	13	1	no	—
894	C₂×#137	—	13	1	no	—
895	C₂×#135	—	13	1	no	—
896	C₂²×Q₁₆	—	13	1	no	—
897	C₂²×Q₁₆	—	13	1	no	—
898	C₂²×Q₁₆	—	13	1	no	—
899	#563	—	2	1	no	—
900	#562	—	2	1	no	—
901	#556	C₂×D₁₃	1	1	yes	characteristic
902	#554	—	2	1	no	—
903	#554	C₂×D₁₃	1	1	yes	characteristic
904	#553	—	2	1	no	—
905	#553	C₂×D₁₃	1	1	yes	characteristic
906	#552	C₂×D₁₃	1	1	yes	characteristic
907	D₄×Q₈	—	13	1	no	—
908	D₄×Q₈	—	13	1	no	—
909	D₄×Q₈	—	13	1	no	—
910	D₄×Q₈	—	13	1	no	—
911	D₄×Q₈	—	26	1	no	—
912	D₄×Q₈	—	26	1	no	—
913	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
914	#548	—	13	1	no	—
915	#548	—	13	1	no	—
916	#548	—	13	1	no	—
917	#548	—	13	1	no	—
918	#548	—	26	1	no	—
919	#548	—	26	1	no	—
920	#548	C₂×D₁₃	1	1	yes	characteristic
921	#548	C₂×D₁₃	1	1	yes	characteristic
922	#547	C₂×D₁₃	1	1	yes	characteristic
923	#542	—	2	1	no	—
924	#542	C₂×D₁₃	1	1	yes	characteristic
925	#541	C₂×D₁₃	1	1	yes	characteristic
926	#539	—	2	1	no	—
927	#538	—	2	1	no	—
928	#538	—	2	1	no	—
929	#537	C₂×D₁₃	1	1	yes	characteristic
930	#536	—	13	1	no	—
931	#536	—	13	1	no	—
932	#536	—	26	1	no	—
933	#536	—	26	1	no	—
934	#536	C₂×D₁₃	1	1	yes	characteristic
935	#525	—	13	1	no	—
936	#525	—	26	1	no	—
937	#525	—	26	1	no	—
938	#525	C₂×D₁₃	1	1	yes	characteristic
939	#525	C₂×D₁₃	1	1	yes	characteristic
940	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
941	#519	—	13	1	no	—
942	#497	—	13	1	no	—
943	#497	—	13	1	no	—
944	#495	—	13	1	no	—
945	#494	—	13	1	no	—
946	#491	—	13	1	no	—
947	#489	—	13	1	no	—
948	#488	—	13	1	no	—
949	#487	—	13	1	no	—
950	#485	—	13	1	no	—
951	#485	—	13	1	no	—
952	#485	—	13	1	no	—
953	#485	—	13	1	no	—
954	#485	—	13	1	no	—
955	#485	—	13	1	no	—
956	#484	—	13	1	no	—
957	#484	—	13	1	no	—
958	#483	—	13	1	no	—
959	#482	—	13	1	no	—
960	#482	—	13	1	no	—
961	#481	—	13	1	no	—
962	#479	—	13	1	no	—
963	#479	—	13	1	no	—
964	#477	—	13	1	no	—
965	#475	—	13	1	no	—
966	#470	—	13	1	no	—
967	#470	—	13	1	no	—
968	#470	—	13	1	no	—
969	#470	—	13	1	no	—
970	#470	—	13	1	no	—
971	#468	—	13	1	no	—
972	#468	—	13	1	no	—
973	#468	—	13	1	no	—
974	#467	—	13	1	no	—
975	#467	—	13	1	no	—
976	#467	—	13	1	no	—
977	#467	—	13	1	no	—
978	#466	—	13	1	no	—
979	#465	—	13	1	no	—
980	#465	—	13	1	no	—
981	#465	—	13	1	no	—
982	#464	—	13	1	no	—
983	#464	—	13	1	no	—
984	#464	—	13	1	no	—
985	#464	—	13	1	no	—
986	#464	—	13	1	no	—
987	#463	—	13	1	no	—
988	#462	—	13	1	no	—
989	#462	—	13	1	no	—
990	#462	—	13	1	no	—
991	#462	—	13	1	no	—
992	#462	—	13	1	no	—
993	#461	—	13	1	no	—
994	#452	—	13	1	no	—
995	#452	—	13	1	no	—
996	#452	—	13	1	no	—
997	#452	—	13	1	no	—
998	#452	—	13	1	no	—
999	#452	—	13	1	no	—
1000	#452	—	13	1	no	—
1001	#452	—	13	1	no	—
1002	#452	—	13	1	no	—
1003	#451	—	13	1	no	—
1004	#451	—	13	1	no	—
1005	#451	—	13	1	no	—
1006	#451	—	13	1	no	—
1007	#451	—	13	1	no	—
1008	#451	—	13	1	no	—
1009	#451	—	13	1	no	—
1010	#451	—	13	1	no	—
1011	#451	—	13	1	no	—
1012	#451	—	13	1	no	—
1013	#451	—	13	1	no	—
1014	#451	—	13	1	no	—
1015	#451	—	13	1	no	—
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#449	—	13	1	no	—
1022	#449	—	13	1	no	—
1023	#449	—	13	1	no	—
1024	#448	—	13	1	no	—
1025	#448	—	13	1	no	—
1026	#448	—	13	1	no	—
1027	#448	—	13	1	no	—
1028	#448	—	13	1	no	—
1029	#448	—	13	1	no	—
1030	#441	—	13	1	no	—
1031	#441	—	13	1	no	—
1032	#441	—	13	1	no	—
1033	#440	—	13	1	no	—
1034	C₄×Q₁₆	—	13	1	no	—
1035	C₄×Q₁₆	—	13	1	no	—
1036	C₄×Q₁₆	—	13	1	no	—
1037	C₄×SD₁₆	—	13	1	no	—
1038	#436	—	13	1	no	—
1039	#436	—	13	1	no	—
1040	#435	—	13	1	no	—
1041	#435	—	13	1	no	—
1042	#435	—	13	1	no	—
1043	#435	—	13	1	no	—
1044	C₈×D₄	—	13	1	no	—
1045	C₈×D₄	—	13	1	no	—
1046	#433	—	13	1	no	—
1047	#433	—	13	1	no	—
1048	#419	—	13	1	no	—
1049	#419	—	13	1	no	—
1050	#419	—	13	1	no	—
1051	#417	—	13	1	no	—
1052	#416	—	13	1	no	—
1053	C₂×#103	—	13	1	no	—
1054	C₂×#103	—	13	1	no	—
1055	C₂×#103	—	13	1	no	—
1056	#408	—	13	1	no	—
1057	#408	—	13	1	no	—
1058	#407	—	13	1	no	—
1059	C₂×C₂²⋊C₈	—	13	1	no	—
1060	C₂²×C₁₃	—	2	1	no	—
1061	C₂²×C₁₃	—	2	1	no	—
1062	C₂²×C₁₃	—	2	1	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	4	4	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	#578	1	2	yes	—
1079	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	2	1	no	—
1091	C₄×C₁₃	—	2	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	—	4	1	no	—
1097	C₄×C₁₃	—	4	1	no	—
1098	C₄×C₁₃	—	4	1	no	—
1099	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1100	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1101	Dic₁₃	—	2	2	no	—
1102	Dic₁₃	—	2	2	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	—	4	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	—	4	1	no	—
1108	2₋¹⁺⁴	—	52	2	no	—
1109	2₋¹⁺⁴	—	52	2	no	—
1110	C₂×#41	—	13	1	no	—
1111	C₂×#41	—	13	1	no	—
1112	C₂×#41	—	13	1	no	—
1113	C₂×#41	—	26	1	no	—
1114	C₂×#41	—	26	1	no	—
1115	C₂×#41	—	26	1	no	—
1116	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1118	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1119	C₂²×Q₈	—	13	1	no	—
1120	C₂²×Q₈	—	13	1	no	—
1121	C₂²×Q₈	—	13	1	no	—
1122	C₂²×Q₈	—	13	1	no	—
1123	C₂²×Q₈	—	13	1	no	—
1124	C₂²×Q₈	—	13	1	no	—
1125	C₂²×Q₈	—	13	1	no	—
1126	C₂²×Q₈	—	13	1	no	—
1127	C₂²×Q₈	—	26	1	no	—
1128	C₂²×Q₈	—	26	1	no	—
1129	C₂²×Q₈	—	26	1	no	—
1130	C₂²×Q₈	—	26	1	no	—
1131	C₂²×Q₈	—	52	2	no	—
1132	C₂²×Q₈	—	52	2	no	—
1133	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂³×C₄	—	26	1	no	—
1136	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1137	#137	—	52	2	no	—
1138	#137	—	52	2	no	—
1139	#137	—	52	2	no	—
1140	#137	—	52	2	no	—
1141	#135	—	52	2	no	—
1142	C₂×Q₁₆	—	13	1	no	—
1143	C₂×Q₁₆	—	13	1	no	—
1144	C₂×Q₁₆	—	13	1	no	—
1145	C₂×Q₁₆	—	13	1	no	—
1146	C₂×Q₁₆	—	13	1	no	—
1147	C₂×Q₁₆	—	13	1	no	—
1148	C₂×Q₁₆	—	13	1	no	—
1149	C₂×Q₁₆	—	13	1	no	—
1150	C₂×Q₁₆	—	13	1	no	—
1151	C₂×Q₁₆	—	13	1	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	13	1	no	—
1156	C₂×Q₁₆	—	13	1	no	—
1157	C₂×Q₁₆	—	52	2	no	—
1158	C₂×Q₁₆	—	52	2	no	—
1159	C₂×Q₁₆	—	52	2	no	—
1160	C₂×SD₁₆	—	13	1	no	—
1161	C₂×SD₁₆	—	13	1	no	—
1162	C₂×SD₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	13	1	no	—
1164	C₂×SD₁₆	—	13	1	no	—
1165	C₂×SD₁₆	—	13	1	no	—
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×D₈	—	13	1	no	—
1169	C₂×M₁₆	—	13	1	no	—
1170	C₂×M₁₆	—	13	1	no	—
1171	C₂×M₁₆	—	13	1	no	—
1172	C₂×M₁₆	—	13	1	no	—
1173	C₂²×C₈	—	13	1	no	—
1174	C₂²×C₈	—	13	1	no	—
1175	C₂²×C₈	—	13	1	no	—
1176	C₂²×C₈	—	13	1	no	—
1177	C₄⋊Q₈	—	2	1	no	—
1178	C₄⋊Q₈	—	2	1	no	—
1179	C₄⋊Q₈	—	13	1	no	—
1180	C₄⋊Q₈	—	13	1	no	—
1181	C₄⋊Q₈	—	26	1	no	—
1182	C₄⋊Q₈	—	26	1	no	—
1183	C₄⋊Q₈	—	26	1	no	—
1184	C₄⋊Q₈	—	26	1	no	—
1185	C₄⋊Q₈	—	26	1	no	—
1186	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1187	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1188	#126	—	2	1	no	—
1189	#126	—	2	1	no	—
1190	#126	—	2	1	no	—
1191	#126	—	2	1	no	—
1192	#126	—	2	1	no	—
1193	#126	—	2	1	no	—
1194	#126	—	2	1	no	—
1195	#125	—	2	1	no	—
1196	#125	—	2	1	no	—
1197	#125	—	2	1	no	—
1198	#125	—	2	1	no	—
1199	#125	C₂²×D₁₃	1	1	yes	characteristic
1200	#124	—	2	1	no	—
1201	#124	—	2	1	no	—
1202	#124	—	2	1	no	—
1203	#124	—	2	1	no	—
1204	#124	—	2	1	no	—
1205	#124	—	13	1	no	—
1206	#124	—	13	1	no	—
1207	#124	—	26	1	no	—
1208	#124	—	26	1	no	—
1209	#124	—	26	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	C₂²×D₁₃	1	1	yes	characteristic
1213	#123	—	2	1	no	—
1214	#123	—	2	1	no	—
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1227	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1228	C₂²⋊Q₈	—	2	1	no	—
1229	C₂²⋊Q₈	—	2	1	no	—
1230	C₂²⋊Q₈	—	2	1	no	—
1231	C₂²⋊Q₈	—	2	1	no	—
1232	C₂²⋊Q₈	—	2	1	no	—
1233	C₂²⋊Q₈	—	2	1	no	—
1234	C₂²⋊Q₈	—	2	1	no	—
1235	C₂²⋊Q₈	—	2	1	no	—
1236	C₂²⋊Q₈	—	2	1	no	—
1237	C₂²⋊Q₈	—	2	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1259	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1260	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1261	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1262	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1263	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1269	#121	—	2	1	no	—
1270	#121	—	2	1	no	—
1271	#121	—	2	1	no	—
1272	#121	—	2	1	no	—
1273	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1283	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1284	#121	C₂²×D₁₃	1	1	yes	characteristic
1285	#121	C₂²×D₁₃	1	1	yes	characteristic
1286	#121	C₂²×D₁₃	1	1	yes	characteristic
1287	#120	—	2	1	no	—
1288	#120	—	26	1	no	—
1289	#120	C₂²⋊D₁₃	1	1	yes	characteristic
1290	#120	C₂²⋊D₁₃	1	1	yes	characteristic
1291	C₄×Q₈	—	2	1	no	—
1292	C₄×Q₈	—	13	1	no	—
1293	C₄×Q₈	—	13	1	no	—
1294	C₄×Q₈	—	13	1	no	—
1295	C₄×Q₈	—	13	1	no	—
1296	C₄×Q₈	—	26	1	no	—
1297	C₄×Q₈	—	26	1	no	—
1298	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1299	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1300	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1301	C₄×D₄	—	2	1	no	—
1302	C₄×D₄	—	2	1	no	—
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	—	26	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1319	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1320	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1321	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1322	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1323	#117	—	2	1	no	—
1324	#117	—	13	1	no	—
1325	#117	—	26	1	no	—
1326	#117	—	26	1	no	—
1327	#117	C₂²×D₁₃	1	1	yes	characteristic
1328	#117	C₂²×D₁₃	1	1	yes	characteristic
1329	#117	C₂²×D₁₃	1	1	yes	characteristic
1330	C₂×C₄⋊C₄	—	2	1	no	—
1331	C₂×C₄⋊C₄	—	2	1	no	—
1332	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1333	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1334	C₂×C₂²⋊C₄	—	2	1	no	—
1335	#107	—	13	1	no	—
1336	#107	—	13	1	no	—
1337	#107	—	13	1	no	—
1338	#107	—	13	1	no	—
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	C₄⋊C₈	—	13	1	no	—
1344	C₄⋊C₈	—	13	1	no	—
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	C₂²⋊C₈	—	13	1	no	—
1380	C₂²⋊C₈	—	13	1	no	—
1381	C₂²⋊C₈	—	13	1	no	—
1382	C₂²⋊C₈	—	13	1	no	—
1383	C₂²⋊C₈	—	13	1	no	—
1384	C₂²⋊C₈	—	13	1	no	—
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	#97	—	13	1	no	—
1392	#97	—	13	1	no	—
1393	C₄×C₈	—	13	1	no	—
1394	C₄×C₈	—	13	1	no	—
1395	C₂×C₁₃	—	2	2	no	—
1396	C₂×C₁₃	—	4	1	no	—
1397	C₂×C₁₃	—	4	1	no	—
1398	C₂×C₁₃	—	4	1	no	—
1399	C₂×C₁₃	—	4	1	no	—
1400	C₂×C₁₃	—	8	1	no	—
1401	C₂×C₁₃	#3484	1	1	yes	characteristic
1402	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1403	C₂×C₁₃	#3586	1	1	yes	characteristic
1404	D₁₃	—	8	1	no	—
1405	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1406	#41	—	4	1	no	—
1407	#41	—	4	1	no	—
1408	#41	—	4	1	no	—
1409	#41	—	4	1	no	—
1410	#41	—	4	1	no	—
1411	#41	—	4	1	no	—
1412	#41	—	26	2	no	—
1413	#41	—	26	2	no	—
1414	#41	—	52	1	no	—
1415	#41	—	52	1	no	—
1416	#41	—	52	1	no	—
1417	#41	—	52	1	no	—
1418	#41	—	52	4	no	—
1419	#41	—	52	4	no	—
1420	#41	—	52	4	no	—
1421	C₂×Q₈	—	2	1	no	—
1422	C₂×Q₈	—	2	1	no	—
1423	C₂×Q₈	—	2	1	no	—
1424	C₂×Q₈	—	4	1	no	—
1425	C₂×Q₈	—	4	1	no	—
1426	C₂×Q₈	—	4	1	no	—
1427	C₂×Q₈	—	4	1	no	—
1428	C₂×Q₈	—	13	1	no	—
1429	C₂×Q₈	—	13	1	no	—
1430	C₂×Q₈	—	13	1	no	—
1431	C₂×Q₈	—	13	1	no	—
1432	C₂×Q₈	—	13	1	no	—
1433	C₂×Q₈	—	26	2	no	—
1434	C₂×Q₈	—	26	2	no	—
1435	C₂×Q₈	—	26	2	no	—
1436	C₂×Q₈	—	26	2	no	—
1437	C₂×Q₈	—	26	2	no	—
1438	C₂×Q₈	—	26	2	no	—
1439	C₂×Q₈	—	26	2	no	—
1440	C₂×Q₈	—	26	2	no	—
1441	C₂×Q₈	—	26	1	no	—
1442	C₂×Q₈	—	26	1	no	—
1443	C₂×Q₈	—	26	1	no	—
1444	C₂×Q₈	—	26	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	1	no	—
1447	C₂×Q₈	—	26	1	no	—
1448	C₂×Q₈	—	26	1	no	—
1449	C₂×Q₈	—	52	1	no	—
1450	C₂×Q₈	—	52	1	no	—
1451	C₂×Q₈	—	52	1	no	—
1452	C₂×Q₈	—	52	1	no	—
1453	C₂×Q₈	—	52	1	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	1	no	—
1456	C₂×Q₈	—	52	1	no	—
1457	C₂×Q₈	—	52	4	no	—
1458	C₂×Q₈	—	52	4	no	—
1459	C₂×Q₈	—	52	4	no	—
1460	C₂×Q₈	—	52	4	no	—
1461	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1462	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1464	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	13	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1477	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1478	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1479	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1480	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1481	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1482	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1483	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	4	1	no	—
1492	C₂²×C₄	—	4	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	—	52	4	no	—
1505	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1506	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1507	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1508	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1510	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1513	Q₁₆	—	26	2	no	—
1514	Q₁₆	—	26	2	no	—
1515	Q₁₆	—	26	2	no	—
1516	Q₁₆	—	26	2	no	—
1517	Q₁₆	—	26	2	no	—
1518	Q₁₆	—	26	2	no	—
1519	Q₁₆	—	52	1	no	—
1520	Q₁₆	—	52	1	no	—
1521	Q₁₆	—	52	1	no	—
1522	Q₁₆	—	52	1	no	—
1523	Q₁₆	—	52	1	no	—
1524	Q₁₆	—	52	1	no	—
1525	Q₁₆	—	52	1	no	—
1526	Q₁₆	—	52	1	no	—
1527	Q₁₆	—	52	1	no	—
1528	SD₁₆	—	26	2	no	—
1529	SD₁₆	—	26	2	no	—
1530	SD₁₆	—	52	1	no	—
1531	SD₁₆	—	52	1	no	—
1532	SD₁₆	—	52	1	no	—
1533	SD₁₆	—	52	1	no	—
1534	SD₁₆	—	52	1	no	—
1535	SD₁₆	—	52	1	no	—
1536	D₈	—	52	1	no	—
1537	M₁₆	—	52	1	no	—
1538	M₁₆	—	52	1	no	—
1539	M₁₆	—	52	1	no	—
1540	M₁₆	—	52	1	no	—
1541	C₂×C₈	—	13	1	no	—
1542	C₂×C₈	—	13	1	no	—
1543	C₂×C₈	—	13	1	no	—
1544	C₂×C₈	—	13	1	no	—
1545	C₂×C₈	—	13	1	no	—
1546	C₂×C₈	—	13	1	no	—
1547	C₂×C₈	—	13	1	no	—
1548	C₂×C₈	—	13	1	no	—
1549	C₂×C₈	—	52	1	no	—
1550	C₂×C₈	—	52	1	no	—
1551	C₂×C₈	—	52	1	no	—
1552	C₂×C₈	—	52	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	13	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1589	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1591	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1592	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1593	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1594	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1595	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1596	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1597	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1630	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1631	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1632	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1633	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1634	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1635	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1636	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1637	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1638	C₄²	—	2	1	no	—
1639	C₄²	—	2	1	no	—
1640	C₄²	—	2	1	no	—
1641	C₄²	—	2	1	no	—
1642	C₄²	—	2	1	no	—
1643	C₄²	—	26	1	no	—
1644	C₄²	—	26	1	no	—
1645	C₄²	—	26	1	no	—
1646	C₄²	—	26	1	no	—
1647	C₄²	—	26	1	no	—
1648	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1649	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1650	C₁₃	#61612	1	1	yes	characteristic, complemented, Sylow
1651	C₂³	—	2	2	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	4	1	no	—
1654	C₂³	—	4	1	no	—
1655	C₂³	—	26	1	no	—
1656	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1657	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1658	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1659	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1660	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1661	Q₈	—	2	1	no	—
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	4	1	no	—
1668	Q₈	—	8	1	no	—
1669	Q₈	—	8	1	no	—
1670	Q₈	—	8	1	no	—
1671	Q₈	—	13	2	no	—
1672	Q₈	—	13	2	no	—
1673	Q₈	—	26	4	no	—
1674	Q₈	—	26	1	no	—
1675	Q₈	—	26	1	no	—
1676	Q₈	—	26	1	no	—
1677	Q₈	—	26	1	no	—
1678	Q₈	—	26	1	no	—
1679	Q₈	—	26	1	no	—
1680	Q₈	—	26	1	no	—
1681	Q₈	—	26	1	no	—
1682	Q₈	—	52	2	no	—
1683	Q₈	—	52	2	no	—
1684	Q₈	—	52	2	no	—
1685	Q₈	—	52	2	no	—
1686	Q₈	—	52	2	no	—
1687	Q₈	—	52	2	no	—
1688	Q₈	—	52	2	no	—
1689	D₄	—	2	2	no	—
1690	D₄	—	2	2	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	2	1	no	—
1693	D₄	—	4	1	no	—
1694	D₄	—	4	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	1	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	8	1	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	26	1	no	—
1704	D₄	—	26	1	no	—
1705	D₄	—	52	2	no	—
1706	D₄	—	52	2	no	—
1707	D₄	—	52	2	no	—
1708	D₄	—	52	2	no	—
1709	D₄	—	52	2	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	4	1	no	—
1728	C₂×C₄	—	4	1	no	—
1729	C₂×C₄	—	4	1	no	—
1730	C₂×C₄	—	8	1	no	—
1731	C₂×C₄	—	8	1	no	—
1732	C₂×C₄	—	8	1	no	—
1733	C₂×C₄	—	8	1	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	8	1	no	—
1736	C₂×C₄	—	8	1	no	—
1737	C₂×C₄	—	26	4	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	52	2	no	—
1746	C₂×C₄	—	52	2	no	—
1747	C₂×C₄	—	52	2	no	—
1748	C₂×C₄	—	52	2	no	—
1749	C₂×C₄	—	52	2	no	—
1750	C₂×C₄	—	52	2	no	—
1751	C₂×C₄	—	52	2	no	—
1752	C₂×C₄	—	52	2	no	—
1753	C₂×C₄	—	52	2	no	—
1754	C₂×C₄	—	52	2	no	—
1755	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1763	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1764	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1765	C₈	—	26	1	no	—
1766	C₈	—	26	1	no	—
1767	C₈	—	26	1	no	—
1768	C₈	—	26	1	no	—
1769	C₈	—	26	1	no	—
1770	C₈	—	26	1	no	—
1771	C₈	—	26	1	no	—
1772	C₈	—	26	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	4	4	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	52	1	no	—
1792	C₂²	—	52	1	no	—
1793	C₂²	—	52	1	no	—
1794	C₂²	#11719543	1	2	yes	—
1795	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	26	2	no	—
1813	C₄	—	26	2	no	—
1814	C₄	—	52	1	no	—
1815	C₄	—	52	1	no	—
1816	C₄	—	52	1	no	—
1817	C₄	—	52	1	no	—
1818	C₄	—	52	1	no	—
1819	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1820	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1821	C₂	—	2	2	no	—
1822	C₂	—	4	1	no	—
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	4	1	no	—
1826	C₂	—	8	1	no	—
1827	C₂	—	104	1	no	—
1828	C₂	#13128467	1	1	yes	characteristic
1829	C₂	C₂×#11719543	1	1	yes	characteristic
1830	C₂	#13129622	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3541	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3541	D₁₃
hypocenter	C₁₃	#61612
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3541

Complements

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

N	H ≅ G/N	type
1. #13128483	C₂	semidirect
2. #13127113	C₂	semidirect
3. #13127098	C₂	semidirect
4. #13127001	C₂	semidirect
5. #13126941	C₂	semidirect
6. #13126896	C₂	semidirect
7. #13126881	C₂	semidirect
8. #13126732	C₂	semidirect
9. #13126706	C₂	semidirect
10. D₄×#6107	C₂	semidirect
11. #13126573	C₂	semidirect
12. #13126489	C₂	semidirect
13. #13126478	C₂	semidirect
14. #13126407	C₂	semidirect
15. #13126402	C₂	semidirect
16. #13126402	C₂	semidirect
17. #13126387	C₂	semidirect
18. #13125939	C₂	semidirect
19. #13125913	C₂	semidirect
20. #13125727	C₂	semidirect
21. #13125712	C₂	semidirect
22. #13125666	C₂	semidirect
23. #13125624	C₂	semidirect
24. #13125131	C₂	semidirect
25. #13125059	C₂	semidirect
26. #13124148	C₂	semidirect
27. #13124129	C₂	semidirect
28. #13124069	C₂	semidirect
29. C₂×#11718711	C₂	semidirect
30. #13123884	C₂	semidirect
31. C₁₃×#3541	C₂	semidirect
60. C₂×#88205	C₂²	semidirect
61. C₂×#88204	C₂²	semidirect
64. C₂²×#6107	C₂²	semidirect
65. C₂×#88196	C₂²	semidirect
86. #11718900	C₂²	semidirect
87. #11718900	C₂²	semidirect
92. #11718889	C₂²	semidirect
93. #11718889	C₂²	semidirect
97. #11718755	C₂²	semidirect
98. #11718754	C₂²	semidirect
99. #11718753	C₂²	semidirect
100. #11718752	C₂²	semidirect
101. #11718751	C₂²	semidirect
102. #11718751	C₂²	semidirect
103. #11718750	C₂²	semidirect
104. #11718747	C₂²	semidirect
105. #11718730	C₂²	semidirect
106. #11718729	C₂²	semidirect
107. #11718724	C₂²	semidirect
108. #11718724	C₂²	semidirect
109. #11718721	C₂²	semidirect
110. #11718720	C₂²	semidirect
111. #11718715	C₂²	semidirect
112. #11718715	C₂²	semidirect
115. #11718713	C₂²	semidirect
116. #11718713	C₂²	semidirect
117. #11718713	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718712	C₂²	semidirect
121. #11718712	C₂²	semidirect
134. #11718711	C₂²	semidirect
135. #11718711	C₂²	semidirect
136. #11718711	C₂²	semidirect
143. #11718708	C₂²	semidirect
144. #11718708	C₂²	semidirect
145. #11718708	C₂²	semidirect
149. #11718703	C₂²	semidirect
151. #11718702	C₂²	semidirect
156. #11718701	C₂²	semidirect
159. #11718698	C₂²	semidirect
161. #11718692	C₂²	semidirect
162. #11718692	C₂²	semidirect
163. #11718692	C₂²	semidirect
164. #11718691	C₂²	semidirect
165. #11718691	C₂²	semidirect
166. #11718691	C₂²	semidirect
167. C₄×#6107	C₂²	semidirect
168. C₄×#6107	C₂²	semidirect
169. C₄×#6107	C₂²	semidirect
170. #11718689	C₂²	semidirect
171. #11718689	C₂²	semidirect
172. #11718689	C₂²	semidirect
173. #11718680	C₂²	semidirect
174. #11718679	C₂²	semidirect
175. C₄×#6105	C₂²	semidirect
176. #11718677	C₂²	semidirect
187. #11718665	C₂²	semidirect
189. #11718663	C₂²	semidirect
193. #11718657	C₂²	semidirect
194. #11718657	C₂²	semidirect
195. #11718632	C₂²	semidirect
197. #11718631	C₂²	semidirect
200. C₂×#88050	C₂²	semidirect
202. #11718627	C₂²	semidirect
736. #3541	D₁₃	semidirect
1650. C₁₃	#61612	semidirect

Maximal subgroups

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

subgroup	index
#13128483	2
#13127113	2
#13127098	2
#13127001	2
#13126941	2
#13126896	2
#13126881	2
#13126732	2
#13126706	2
D₄×#6107	2
#13126573	2
#13126489	2
#13126478	2
#13126407	2
#13126402	2
#13126387	2
#13125939	2
#13125913	2
#13125727	2
#13125712	2
#13125666	2
#13125624	2
#13125131	2
#13125059	2
#13124148	2
#13124129	2
#13124069	2
C₂×#11718711	2
#13123884	2
C₁₃×#3541	2
#61612	13