Subgroups — #16750186

Order 3328.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128623	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127098	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127046	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127016	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126986	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126717	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126665	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126573	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126544	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126489	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126468	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126407	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126387	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125835	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125797	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	#13125703	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125682	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124939	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124901	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124148	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124137	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124129	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124111	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123912	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂×#88256	C₂²	1	1	yes	characteristic
34	C₁₃×#562	—	2	1	no	—
35	C₁₃×#562	—	2	1	no	—
36	C₁₃×#555	—	2	1	no	—
37	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#553	—	2	1	no	—
40	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
42	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#544	—	2	1	no	—
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#542	—	2	1	no	—
49	C₁₃×#540	—	2	1	no	—
50	C₁₃×#537	C₂²	1	1	yes	characteristic
51	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#536	C₂²	1	1	yes	characteristic
53	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
57	#11719535	C₂²	1	1	yes	characteristic
58	#11719530	C₂²	1	1	yes	characteristic
59	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88204	C₂²	1	1	yes	characteristic
61	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88203	C₂²	1	1	yes	characteristic
63	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88196	C₂²	1	1	yes	characteristic
65	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
66	C₂²×#6106	C₂²	1	1	yes	characteristic
67	#11719429	—	2	1	no	—
68	#11719420	—	2	1	no	—
69	D₁₃×#124	—	2	1	no	—
70	#11719373	—	2	1	no	—
71	#11719315	—	2	1	no	—
72	#11719315	—	2	1	no	—
73	#11719315	—	2	1	no	—
74	#11719315	—	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	#11719255	C₂²	1	1	yes	characteristic
80	#11719255	C₂²	1	1	yes	characteristic
81	#11719255	C₂²	1	1	yes	characteristic
82	#11719255	C₂²	1	1	yes	characteristic
83	C₂×#88129	C₂²	1	1	yes	characteristic
84	C₄×#6127	C₂²	1	1	yes	characteristic
85	#11718900	C₂²	1	1	yes	characteristic, complemented
86	#11718900	C₂²	1	1	yes	characteristic, complemented
87	#11718899	C₂²	1	1	yes	characteristic, complemented
88	#11718899	C₂²	1	1	yes	characteristic, complemented
89	#11718895	C₂²	1	1	yes	characteristic
90	#11718895	C₂²	1	1	yes	characteristic
91	#11718895	C₂²	1	1	yes	characteristic, complemented
92	#11718895	C₂²	1	1	yes	characteristic, complemented
93	#11718889	C₂²	1	1	yes	characteristic, complemented
94	#11718889	C₂²	1	1	yes	characteristic, complemented
95	#11718888	C₂²	1	1	yes	characteristic, complemented
96	#11718888	C₂²	1	1	yes	characteristic, complemented
97	#11718755	C₂²	1	1	yes	characteristic, complemented
98	#11718751	C₂²	1	1	yes	characteristic, complemented
99	#11718750	C₂²	1	1	yes	characteristic, complemented
100	#11718750	C₂²	1	1	yes	characteristic, complemented
101	#11718748	C₂²	1	1	yes	characteristic, complemented
102	#11718747	C₂²	1	1	yes	characteristic, complemented
103	#11718747	C₂²	1	1	yes	characteristic, complemented
104	#11718744	C₂²	1	1	yes	characteristic, complemented
105	#11718729	C₂²	1	1	yes	characteristic, complemented
106	#11718729	C₂²	1	1	yes	characteristic, complemented
107	#11718727	C₂²	1	1	yes	characteristic, complemented
108	#11718724	C₂²	1	1	yes	characteristic, complemented
109	#11718720	C₂²	1	1	yes	characteristic, complemented
110	#11718720	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718713	C₂²	1	1	yes	characteristic, complemented
115	#11718713	C₂²	1	1	yes	characteristic, complemented
116	#11718712	C₂²	1	1	yes	characteristic, complemented
117	#11718712	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718711	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718711	C₂²	1	1	yes	characteristic, complemented
122	#11718711	C₂²	1	1	yes	characteristic, complemented
123	#11718711	C₂²	1	1	yes	characteristic, complemented
124	#11718711	C₂²	1	1	yes	characteristic, complemented
125	#11718710	C₂²	1	1	yes	characteristic, complemented
126	#11718710	C₂²	1	1	yes	characteristic, complemented
127	#11718710	C₂²	1	1	yes	characteristic, complemented
128	#11718709	C₂²	1	1	yes	characteristic, complemented
129	#11718709	C₂²	1	1	yes	characteristic, complemented
130	#11718709	C₂²	1	1	yes	characteristic, complemented
131	#11718708	C₂²	1	1	yes	characteristic
132	#11718708	C₂²	1	1	yes	characteristic
133	#11718708	C₂²	1	1	yes	characteristic
134	#11718708	C₂²	1	1	yes	characteristic
135	#11718708	C₂²	1	1	yes	characteristic
136	#11718708	C₂²	1	1	yes	characteristic
137	#11718708	C₂²	1	1	yes	characteristic, complemented
138	#11718708	C₂²	1	1	yes	characteristic, complemented
139	#11718708	C₂²	1	1	yes	characteristic, complemented
140	#11718707	C₂²	1	1	yes	characteristic
141	#11718707	C₂²	1	1	yes	characteristic
142	#11718707	C₂²	1	1	yes	characteristic
143	#11718707	C₂²	1	1	yes	characteristic
144	#11718707	C₂²	1	1	yes	characteristic
145	#11718707	C₂²	1	1	yes	characteristic
146	#11718706	C₂²	1	1	yes	characteristic, complemented
147	#11718706	C₂²	1	1	yes	characteristic, complemented
148	#11718706	C₂²	1	1	yes	characteristic, complemented
149	#11718703	C₂²	1	1	yes	characteristic, complemented
150	#11718702	C₂²	1	1	yes	characteristic, complemented
151	#11718701	C₂²	1	1	yes	characteristic, complemented
152	#11718701	C₂²	1	1	yes	characteristic, complemented
153	#11718700	C₂²	1	1	yes	characteristic, complemented
154	#11718699	C₂²	1	1	yes	characteristic, complemented
155	#11718698	C₂²	1	1	yes	characteristic
156	#11718698	C₂²	1	1	yes	characteristic
157	#11718698	C₂²	1	1	yes	characteristic, complemented
158	#11718697	C₂²	1	1	yes	characteristic
159	#11718697	C₂²	1	1	yes	characteristic
160	#11718696	C₂²	1	1	yes	characteristic, complemented
161	#11718691	C₂²	1	1	yes	characteristic, complemented
162	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
163	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
164	#11718689	C₂²	1	1	yes	characteristic, complemented
165	#11718689	C₂²	1	1	yes	characteristic, complemented
166	#11718689	C₂²	1	1	yes	characteristic, complemented
167	#11718689	C₂²	1	1	yes	characteristic, complemented
168	#11718689	C₂²	1	1	yes	characteristic, complemented
169	#11718689	C₂²	1	1	yes	characteristic, complemented
170	#11718687	C₂²	1	1	yes	characteristic, complemented
171	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
172	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
173	#11718679	C₂²	1	1	yes	characteristic, complemented
174	#11718677	C₂²	1	1	yes	characteristic, complemented
175	#11718677	C₂²	1	1	yes	characteristic, complemented
176	#11718675	C₂²	1	1	yes	characteristic, complemented
177	#11718673	C₂²	1	1	yes	characteristic, complemented
178	#11718673	C₂²	1	1	yes	characteristic, complemented
179	#11718672	C₂²	1	1	yes	characteristic, complemented
180	#11718672	C₂²	1	1	yes	characteristic, complemented
181	#11718672	C₂²	1	1	yes	characteristic, complemented
182	#11718672	C₂²	1	1	yes	characteristic, complemented
183	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
184	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
185	#11718665	C₂²	1	1	yes	characteristic, complemented
186	#11718664	C₂²	1	1	yes	characteristic, complemented
187	#11718664	C₂²	1	1	yes	characteristic, complemented
188	#11718663	C₂²	1	1	yes	characteristic
189	#11718663	C₂²	1	1	yes	characteristic, complemented
190	#11718662	C₂²	1	1	yes	characteristic
191	#11718657	C₂²	1	1	yes	characteristic, complemented
192	#11718657	C₂²	1	1	yes	characteristic, complemented
193	#11718632	C₂²	1	1	yes	characteristic, complemented
194	#11718631	C₂²	1	1	yes	characteristic, complemented
195	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
196	#11718629	C₂²	1	1	yes	characteristic, complemented
197	#11718628	C₂²	1	1	yes	characteristic, complemented
198	#11718627	C₂²	1	1	yes	characteristic
199	#11718627	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88049	C₂²	1	1	yes	characteristic
201	#11718587	C₂²	1	1	yes	characteristic, complemented
202	#11718586	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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	#88257	—	4	2	no	—
210	#88257	—	4	2	no	—
211	#88256	—	4	2	no	—
212	#88256	—	4	2	no	—
213	C₂×#6131	—	2	1	no	—
214	C₂×Q₈×D₁₃	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×#6127	C₂³	1	1	yes	characteristic
222	C₂×#6127	C₂³	1	1	yes	characteristic
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂²×D₅₂	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	C₂³	1	1	yes	characteristic
228	C₂²×D₅₂	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	—	2	1	no	—
235	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#127	D₄	1	1	yes	characteristic
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	—	2	1	no	—
243	C₁₃×#125	—	2	1	no	—
244	C₁₃×#125	—	2	1	no	—
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#125	C₂³	1	1	yes	characteristic
247	C₁₃×#124	—	2	1	no	—
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	D₄	1	1	yes	characteristic
254	C₁₃×#124	D₄	1	1	yes	characteristic
255	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
263	C₁₃×#123	—	2	1	no	—
264	C₁₃×#123	—	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	C₂³	1	1	yes	characteristic
275	C₁₃×C₂²⋊Q₈	C₂³	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×#121	—	2	1	no	—
284	C₁₃×#121	—	2	1	no	—
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	—	2	1	no	—
293	C₁₃×#121	D₄	1	1	yes	characteristic
294	C₁₃×#121	D₄	1	1	yes	characteristic
295	C₁₃×#121	D₄	1	1	yes	characteristic
296	C₁₃×#121	D₄	1	1	yes	characteristic
297	C₁₃×#121	C₂³	1	1	yes	characteristic
298	C₁₃×#121	C₂³	1	1	yes	characteristic
299	C₁₃×#121	C₂³	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	C₂³	1	1	yes	characteristic
310	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	C₁₃×#117	—	2	1	no	—
315	C₁₃×#117	—	2	1	no	—
316	C₁₃×#117	—	2	1	no	—
317	C₁₃×#117	—	2	1	no	—
318	C₁₃×#117	—	2	1	no	—
319	C₁₃×#117	C₂³	1	1	yes	characteristic
320	C₁₃×#117	C₂³	1	1	yes	characteristic
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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
325	#88205	—	4	2	no	—
326	#88204	—	4	2	no	—
327	#88204	—	4	2	no	—
328	#88203	—	4	2	no	—
329	#88201	—	2	1	no	—
330	#88198	—	2	1	no	—
331	C₂×#6107	—	4	2	no	—
332	C₂×#6107	C₂³	1	1	yes	characteristic
333	C₂×#6107	C₂³	1	1	yes	characteristic
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	#88196	—	4	2	no	—
342	#88196	—	4	2	no	—
343	C₂×#6106	—	4	2	no	—
344	C₂×#6106	C₂³	1	1	yes	characteristic
345	C₂×#6106	C₂³	1	1	yes	characteristic
346	C₂×#6106	C₂³	1	1	yes	characteristic
347	C₂×#6106	C₂³	1	1	yes	characteristic
348	C₂×#6106	C₂³	1	1	yes	characteristic
349	C₂×#6106	C₂³	1	1	yes	characteristic
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	#88194	—	2	1	no	—
354	#88193	—	2	1	no	—
355	#88193	—	2	1	no	—
356	#88193	—	2	1	no	—
357	#88193	—	2	1	no	—
358	#88191	—	2	1	no	—
359	#88191	—	2	1	no	—
360	#88191	—	2	1	no	—
361	#88191	—	2	1	no	—
362	#88191	—	2	1	no	—
363	#88191	—	2	1	no	—
364	#88190	—	2	1	no	—
365	#88189	—	2	1	no	—
366	#88189	—	2	1	no	—
367	C₂×#6105	C₂³	1	1	yes	characteristic
368	C₂×#6105	C₂³	1	1	yes	characteristic
369	C₂×#6105	C₂³	1	1	yes	characteristic
370	C₂×#6104	C₂³	1	1	yes	characteristic
371	C₂×#6104	C₂³	1	1	yes	characteristic
372	C₂×#6104	C₂³	1	1	yes	characteristic
373	#88184	C₂³	1	1	yes	characteristic
374	#88184	C₂³	1	1	yes	characteristic
375	#88184	C₂³	1	1	yes	characteristic
376	#88184	C₂³	1	1	yes	characteristic
377	C₄×C₂²⋊D₁₃	—	2	1	no	—
378	C₄×C₂²⋊D₁₃	—	2	1	no	—
379	C₂×#6103	—	2	1	no	—
380	C₂×#6103	—	2	1	no	—
381	#88180	C₂³	1	1	yes	characteristic
382	#88178	C₂³	1	1	yes	characteristic
383	#88178	C₂³	1	1	yes	characteristic
384	#88178	C₂³	1	1	yes	characteristic
385	#88178	C₂³	1	1	yes	characteristic
386	C₂×#6099	C₂³	1	1	yes	characteristic
387	C₂×#6099	C₂³	1	1	yes	characteristic
388	C₂×#6099	C₂³	1	1	yes	characteristic
389	C₂×#6099	C₂³	1	1	yes	characteristic
390	C₂²×#1055	C₂³	1	1	yes	characteristic
391	C₂²×#1055	C₂³	1	1	yes	characteristic
392	C₂²×#1055	C₂³	1	1	yes	characteristic
393	C₂²×#1055	C₂³	1	1	yes	characteristic
394	#88150	—	2	1	no	—
395	#88150	—	2	1	no	—
396	#88150	—	2	1	no	—
397	#88150	—	2	1	no	—
398	#88148	—	2	1	no	—
399	#88148	—	2	1	no	—
400	#88148	—	2	1	no	—
401	#88148	—	2	1	no	—
402	#88139	—	2	1	no	—
403	#88139	—	2	1	no	—
404	#88139	—	2	1	no	—
405	#88139	—	2	1	no	—
406	#88138	—	2	1	no	—
407	#88138	—	2	1	no	—
408	#88138	—	2	1	no	—
409	#88138	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	C₂²⋊C₄×D₁₃	—	2	1	no	—
417	C₂²⋊C₄×D₁₃	—	2	1	no	—
418	#88129	—	2	1	no	—
419	#88129	—	2	1	no	—
420	#88129	C₂³	1	1	yes	characteristic
421	#88129	C₂³	1	1	yes	characteristic
422	#88129	C₂³	1	1	yes	characteristic
423	#88129	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	#88126	—	2	1	no	—
427	C₄²×D₁₃	—	2	1	no	—
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	#88049	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	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	#61691	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	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	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	2	1	no	—
503	C₂×Q₈×C₁₃	—	2	1	no	—
504	C₂×Q₈×C₁₃	—	2	1	no	—
505	C₂×Q₈×C₁₃	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	4	1	no	—
507	C₂×Q₈×C₁₃	—	4	1	no	—
508	C₂×Q₈×C₁₃	—	4	1	no	—
509	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	#6131	—	4	4	no	—
557	Q₈×D₁₃	—	4	4	no	—
558	#6129	—	4	4	no	—
559	#6129	—	4	4	no	—
560	#6129	—	4	4	no	—
561	D₄×D₁₃	—	4	4	no	—
562	D₄×D₁₃	—	4	4	no	—
563	D₄×D₁₃	—	4	4	no	—
564	#6127	—	2	2	no	—
565	#6127	—	2	2	no	—
566	#6127	—	2	2	no	—
567	#6127	—	2	2	no	—
568	#6127	—	2	2	no	—
569	#6127	—	2	2	no	—
570	#6127	—	4	1	no	—
571	#6127	—	4	1	no	—
572	#6127	—	4	1	no	—
573	#6127	—	4	1	no	—
574	C₂×D₅₂	—	2	2	no	—
575	C₂×D₅₂	—	2	2	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	4	1	no	—
580	C₂×D₅₂	—	4	1	no	—
581	C₂×D₅₂	—	4	1	no	—
582	C₂×D₅₂	—	4	1	no	—
583	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
584	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
585	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×Dic₂₆	—	2	2	no	—
594	C₂×Dic₂₆	—	2	2	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	4	1	no	—
599	C₂×Dic₂₆	—	4	1	no	—
600	C₂×Dic₂₆	—	4	1	no	—
601	C₂×Dic₂₆	—	4	1	no	—
602	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
603	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
665	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
666	C₂²⋊Dic₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	C₂²⋊Dic₁₃	—	2	1	no	—
670	C₂²⋊Dic₁₃	—	2	1	no	—
671	#6107	—	2	2	no	—
672	#6107	—	2	2	no	—
673	#6107	—	2	2	no	—
674	#6107	—	4	1	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	#6106	—	2	2	no	—
681	#6106	—	2	2	no	—
682	#6106	—	2	2	no	—
683	#6106	—	4	1	no	—
684	#6106	—	4	1	no	—
685	#6106	—	4	1	no	—
686	#6106	—	4	1	no	—
687	#6106	—	4	1	no	—
688	#6106	—	4	1	no	—
689	#6105	—	2	2	no	—
690	#6105	—	4	1	no	—
691	#6105	—	4	1	no	—
692	#6104	—	2	2	no	—
693	#6104	—	4	1	no	—
694	#6104	—	4	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	—	2	1	no	—
706	#6103	—	2	1	no	—
707	#6103	—	2	1	no	—
708	#6103	—	2	1	no	—
709	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	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	#3547	D₁₃	1	1	yes	characteristic, complemented
737	#3500	—	13	1	no	—
738	#3327	—	13	1	no	—
739	#3323	—	13	1	no	—
740	#3321	—	13	1	no	—
741	#3319	—	13	1	no	—
742	#3316	—	13	1	no	—
743	#3314	—	13	1	no	—
744	#3300	—	13	1	no	—
745	#3296	—	13	1	no	—
746	#3285	—	13	1	no	—
747	#3282	—	13	1	no	—
748	#3277	—	13	1	no	—
749	#3275	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3269	—	13	1	no	—
752	#3267	—	13	1	no	—
753	#3266	—	13	1	no	—
754	#3215	—	13	1	no	—
755	#3211	—	13	1	no	—
756	#3202	—	13	1	no	—
757	#3201	—	13	1	no	—
758	#3200	—	13	1	no	—
759	#3198	—	13	1	no	—
760	#3111	—	13	1	no	—
761	#3107	—	13	1	no	—
762	#3013	—	13	1	no	—
763	#3012	—	13	1	no	—
764	#3011	—	13	1	no	—
765	#3009	—	13	1	no	—
766	#2981	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂²×D₁₃	—	2	1	no	—
774	C₂²×D₁₃	—	2	1	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	—	8	1	no	—
783	C₂²×D₁₃	—	8	1	no	—
784	C₂²×D₁₃	—	8	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	4	1	no	—
792	Q₈×C₁₃	—	4	1	no	—
793	Q₈×C₁₃	—	8	1	no	—
794	Q₈×C₁₃	—	8	1	no	—
795	Q₈×C₁₃	—	8	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	4	1	no	—
799	D₄×C₁₃	—	4	1	no	—
800	D₄×C₁₃	—	4	1	no	—
801	D₄×C₁₃	—	4	1	no	—
802	D₄×C₁₃	—	4	1	no	—
803	D₄×C₁₃	—	4	1	no	—
804	D₄×C₁₃	—	4	1	no	—
805	D₄×C₁₃	—	4	1	no	—
806	D₄×C₁₃	—	4	1	no	—
807	D₄×C₁₃	—	4	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	D₄×C₁₃	—	8	1	no	—
812	D₄×C₁₃	—	8	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	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	4	1	no	—
831	C₂×C₄×C₁₃	—	4	1	no	—
832	C₂×C₄×C₁₃	—	4	2	no	—
833	C₂×C₄×C₁₃	—	8	1	no	—
834	C₂×C₄×C₁₃	—	8	1	no	—
835	C₂×C₄×C₁₃	—	8	1	no	—
836	C₂×C₄×C₁₃	—	8	1	no	—
837	C₂×C₄×C₁₃	—	8	1	no	—
838	C₂×C₄×C₁₃	—	8	1	no	—
839	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
849	C₂²⋊D₁₃	—	2	4	no	—
850	C₂²⋊D₁₃	—	4	2	no	—
851	C₂²⋊D₁₃	—	4	2	no	—
852	C₂²⋊D₁₃	—	4	2	no	—
853	C₂²⋊D₁₃	—	4	2	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	4	2	no	—
864	C₂×Dic₁₃	—	4	2	no	—
865	C₂×Dic₁₃	—	4	2	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	4	2	no	—
872	D₅₂	—	4	2	no	—
873	D₅₂	—	4	2	no	—
874	D₅₂	H(5,𝔽₂)	1	2	yes	—
875	C₄×D₁₃	—	2	4	no	—
876	C₄×D₁₃	—	4	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	8	1	no	—
881	C₄×D₁₃	—	8	1	no	—
882	Dic₂₆	—	2	1	no	—
883	Dic₂₆	—	2	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	4	2	no	—
889	Dic₂₆	—	4	2	no	—
890	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
891	#1055	—	2	1	no	—
892	#1055	—	2	1	no	—
893	#1055	—	2	1	no	—
894	#1055	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	#1055	—	2	1	no	—
899	C₂×2₋¹⁺⁴	—	13	1	no	—
900	C₂×H(5,𝔽₂)	—	13	1	no	—
901	C₂×#137	—	13	1	no	—
902	C₂×#137	—	13	1	no	—
903	C₂×#137	—	13	1	no	—
904	C₂×AGL(1,ℤ/8)	—	13	1	no	—
905	C₂×#135	—	13	1	no	—
906	C₂×#135	—	13	1	no	—
907	C₂²×Q₁₆	—	13	1	no	—
908	C₂²×SD₁₆	—	13	1	no	—
909	#562	—	2	1	no	—
910	#562	—	2	1	no	—
911	#555	—	2	1	no	—
912	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
913	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
914	#553	—	2	1	no	—
915	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
916	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
917	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
918	#548	—	13	1	no	—
919	#548	—	13	1	no	—
920	#548	—	13	1	no	—
921	#548	—	13	1	no	—
922	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
924	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
925	#546	—	13	1	no	—
926	#546	—	13	1	no	—
927	#546	—	13	1	no	—
928	#546	—	13	1	no	—
929	#546	—	26	1	no	—
930	#546	—	26	1	no	—
931	#546	—	26	1	no	—
932	#546	—	26	1	no	—
933	#544	—	2	1	no	—
934	#542	—	2	1	no	—
935	#542	—	2	1	no	—
936	#540	—	2	1	no	—
937	#537	C₂×D₁₃	1	1	yes	characteristic
938	#537	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#536	—	13	1	no	—
940	#536	—	26	1	no	—
941	#536	C₂×D₁₃	1	1	yes	characteristic
942	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
943	#535	—	13	1	no	—
944	#535	—	26	1	no	—
945	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#532	—	26	1	no	—
947	#532	C₂×D₁₃	1	1	yes	characteristic
948	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
949	C₂×#124	—	13	1	no	—
950	C₂×#124	—	26	1	no	—
951	C₄×#41	—	13	1	no	—
952	#497	—	13	1	no	—
953	#497	—	13	1	no	—
954	#495	—	13	1	no	—
955	#495	—	13	1	no	—
956	#489	—	13	1	no	—
957	#489	—	13	1	no	—
958	#488	—	13	1	no	—
959	#488	—	13	1	no	—
960	#485	—	13	1	no	—
961	#485	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#485	—	13	1	no	—
965	#484	—	13	1	no	—
966	#483	—	13	1	no	—
967	#482	—	13	1	no	—
968	#482	—	13	1	no	—
969	#482	—	13	1	no	—
970	#481	—	13	1	no	—
971	#480	—	13	1	no	—
972	#479	—	13	1	no	—
973	#478	—	13	1	no	—
974	#475	—	13	1	no	—
975	#474	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	—	13	1	no	—
979	#469	—	13	1	no	—
980	#468	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#467	—	13	1	no	—
987	#466	—	13	1	no	—
988	#465	—	13	1	no	—
989	#465	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	—	13	1	no	—
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	—	13	1	no	—
995	#464	—	13	1	no	—
996	#464	—	13	1	no	—
997	#464	—	13	1	no	—
998	#464	—	13	1	no	—
999	#463	—	13	1	no	—
1000	#463	—	13	1	no	—
1001	#463	—	13	1	no	—
1002	#462	—	13	1	no	—
1003	#461	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#452	—	13	1	no	—
1008	#452	—	13	1	no	—
1009	#452	—	13	1	no	—
1010	#452	—	13	1	no	—
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	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	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#450	—	13	1	no	—
1024	#450	—	13	1	no	—
1025	#450	—	13	1	no	—
1026	#450	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#450	—	13	1	no	—
1029	#449	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	—	13	1	no	—
1033	#449	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	—	13	1	no	—
1038	#447	—	13	1	no	—
1039	#447	—	13	1	no	—
1040	#442	—	13	1	no	—
1041	#441	—	13	1	no	—
1042	#440	—	13	1	no	—
1043	#440	—	13	1	no	—
1044	C₄×Q₁₆	—	13	1	no	—
1045	C₄×Q₁₆	—	13	1	no	—
1046	C₄×SD₁₆	—	13	1	no	—
1047	C₄×SD₁₆	—	13	1	no	—
1048	#436	—	13	1	no	—
1049	#436	—	13	1	no	—
1050	#435	—	13	1	no	—
1051	#435	—	13	1	no	—
1052	#435	—	13	1	no	—
1053	#435	—	13	1	no	—
1054	C₈×D₄	—	13	1	no	—
1055	C₈×D₄	—	13	1	no	—
1056	#432	—	13	1	no	—
1057	#431	—	13	1	no	—
1058	#419	—	13	1	no	—
1059	#418	—	13	1	no	—
1060	#417	—	13	1	no	—
1061	#417	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	—	13	1	no	—
1064	C₂×#103	—	13	1	no	—
1065	C₂×#102	—	13	1	no	—
1066	#408	—	13	1	no	—
1067	#408	—	13	1	no	—
1068	#408	—	13	1	no	—
1069	#408	—	13	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	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1089	C₂×D₁₃	—	2	2	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	16	2	no	—
1099	C₂×D₁₃	—	16	2	no	—
1100	C₂×D₁₃	—	16	2	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	2	1	no	—
1103	C₄×C₁₃	—	2	1	no	—
1104	C₄×C₁₃	—	2	1	no	—
1105	C₄×C₁₃	—	2	1	no	—
1106	C₄×C₁₃	—	2	1	no	—
1107	C₄×C₁₃	—	2	1	no	—
1108	C₄×C₁₃	—	2	1	no	—
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	4	1	no	—
1111	C₄×C₁₃	—	4	1	no	—
1112	C₄×C₁₃	—	4	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	—	4	1	no	—
1115	C₄×C₁₃	—	4	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1118	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1119	Dic₁₃	—	2	2	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	2₋¹⁺⁴	—	52	2	no	—
1125	2₋¹⁺⁴	—	52	2	no	—
1126	H(5,𝔽₂)	—	52	2	no	—
1127	H(5,𝔽₂)	—	52	2	no	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	13	1	no	—
1131	C₂×#41	—	13	1	no	—
1132	C₂×#41	—	13	1	no	—
1133	C₂×#41	—	26	1	no	—
1134	C₂×#41	—	26	1	no	—
1135	C₂×#41	—	26	1	no	—
1136	C₂×#41	—	26	1	no	—
1137	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂²×Q₈	—	13	1	no	—
1142	C₂²×Q₈	—	13	1	no	—
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	26	1	no	—
1145	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂²×D₄	—	13	1	no	—
1148	C₂²×D₄	—	13	1	no	—
1149	C₂²×D₄	—	13	1	no	—
1150	C₂²×D₄	—	26	1	no	—
1151	C₂²×D₄	—	26	1	no	—
1152	C₂²×D₄	—	26	1	no	—
1153	#137	—	52	2	no	—
1154	#137	—	52	2	no	—
1155	#137	—	52	2	no	—
1156	AGL(1,ℤ/8)	—	52	2	no	—
1157	#135	—	52	2	no	—
1158	#135	—	52	2	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	13	1	no	—
1163	C₂×Q₁₆	—	13	1	no	—
1164	C₂×Q₁₆	—	13	1	no	—
1165	C₂×Q₁₆	—	13	1	no	—
1166	C₂×Q₁₆	—	13	1	no	—
1167	C₂×Q₁₆	—	13	1	no	—
1168	C₂×Q₁₆	—	52	2	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	—	13	1	no	—
1179	C₂×SD₁₆	—	13	1	no	—
1180	C₂×SD₁₆	—	13	1	no	—
1181	C₂×SD₁₆	—	52	2	no	—
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×M₁₆	—	13	1	no	—
1186	C₂×M₁₆	—	13	1	no	—
1187	C₂×M₁₆	—	13	1	no	—
1188	C₂×M₁₆	—	13	1	no	—
1189	C₂²×C₈	—	13	1	no	—
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	—	13	1	no	—
1192	C₂²×C₈	—	13	1	no	—
1193	C₄⋊Q₈	—	2	1	no	—
1194	C₄⋊Q₈	—	2	1	no	—
1195	C₄⋊Q₈	—	2	1	no	—
1196	C₄⋊Q₈	—	26	1	no	—
1197	C₄⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1198	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1199	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1200	#127	—	26	1	no	—
1201	#127	C₂²⋊D₁₃	1	1	yes	characteristic
1202	#126	—	2	1	no	—
1203	#126	—	2	1	no	—
1204	#126	—	2	1	no	—
1205	#125	—	2	1	no	—
1206	#125	—	2	1	no	—
1207	#125	—	2	1	no	—
1208	#125	—	2	1	no	—
1209	#125	C₂²×D₁₃	1	1	yes	characteristic
1210	#124	—	2	1	no	—
1211	#124	—	2	1	no	—
1212	#124	—	2	1	no	—
1213	#124	—	2	1	no	—
1214	#124	—	2	1	no	—
1215	#124	—	2	1	no	—
1216	#124	—	13	1	no	—
1217	#124	—	13	1	no	—
1218	#124	—	13	1	no	—
1219	#124	—	13	1	no	—
1220	#124	—	26	1	no	—
1221	#124	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#124	C₂²⋊D₁₃	1	1	yes	characteristic
1229	#124	C₂²⋊D₁₃	1	1	yes	characteristic
1230	#124	C₂²×D₁₃	1	1	yes	characteristic
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	1	no	—
1235	#123	—	2	1	no	—
1236	#123	—	2	1	no	—
1237	#123	—	2	1	no	—
1238	#123	—	2	1	no	—
1239	#123	—	2	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	13	1	no	—
1258	C₂²⋊Q₈	—	13	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
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	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1272	#121	—	2	1	no	—
1273	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	2	1	no	—
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1295	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1296	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1297	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1298	#121	C₂²×D₁₃	1	1	yes	characteristic
1299	#121	C₂²×D₁₃	1	1	yes	characteristic
1300	#121	C₂²×D₁₃	1	1	yes	characteristic
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	#120	—	26	1	no	—
1307	C₄×Q₈	—	2	1	no	—
1308	C₄×Q₈	—	13	1	no	—
1309	C₄×Q₈	—	13	1	no	—
1310	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1311	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1312	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	2	1	no	—
1316	C₄×D₄	—	2	1	no	—
1317	C₄×D₄	—	2	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1327	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1328	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1329	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1330	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1331	#117	—	2	1	no	—
1332	#117	—	2	1	no	—
1333	#117	—	2	1	no	—
1334	#117	—	2	1	no	—
1335	#117	—	2	1	no	—
1336	#117	—	13	1	no	—
1337	#117	—	26	1	no	—
1338	#117	C₂²×D₁₃	1	1	yes	characteristic
1339	#117	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	—	2	1	no	—
1341	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1342	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1343	C₂×C₂²⋊C₄	—	26	1	no	—
1344	C₂×C₂²⋊C₄	—	26	1	no	—
1345	C₂×C₂²⋊C₄	—	26	1	no	—
1346	C₂×C₂²⋊C₄	—	26	1	no	—
1347	C₂×C₂²⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₄²	—	26	1	no	—
1350	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1351	#107	—	13	1	no	—
1352	#107	—	13	1	no	—
1353	#107	—	13	1	no	—
1354	#107	—	13	1	no	—
1355	#106	—	13	1	no	—
1356	#106	—	13	1	no	—
1357	#106	—	13	1	no	—
1358	#106	—	13	1	no	—
1359	C₄⋊C₈	—	13	1	no	—
1360	C₄⋊C₈	—	13	1	no	—
1361	C₄⋊C₈	—	13	1	no	—
1362	C₄⋊C₈	—	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	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	—	13	1	no	—
1402	C₂²⋊C₈	—	13	1	no	—
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	#97	—	13	1	no	—
1408	#97	—	13	1	no	—
1409	C₄×C₈	—	13	1	no	—
1410	C₄×C₈	—	13	1	no	—
1411	C₂×C₁₃	—	4	1	no	—
1412	C₂×C₁₃	—	4	1	no	—
1413	C₂×C₁₃	—	4	1	no	—
1414	C₂×C₁₃	—	4	1	no	—
1415	C₂×C₁₃	—	4	1	no	—
1416	C₂×C₁₃	—	8	1	no	—
1417	C₂×C₁₃	#3484	1	1	yes	characteristic
1418	C₂×C₁₃	#3584	1	1	yes	characteristic
1419	C₂×C₁₃	#3586	1	1	yes	characteristic
1420	D₁₃	—	4	2	no	—
1421	D₁₃	—	8	1	no	—
1422	D₁₃	—	8	1	no	—
1423	C₂⁴	—	26	1	no	—
1424	C₂⁴	—	26	1	no	—
1425	C₂⁴	—	26	1	no	—
1426	#41	—	4	1	no	—
1427	#41	—	4	1	no	—
1428	#41	—	4	1	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	1	no	—
1434	#41	—	26	2	no	—
1435	#41	—	26	2	no	—
1436	#41	—	26	2	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	1	no	—
1443	#41	—	52	1	no	—
1444	#41	—	52	4	no	—
1445	#41	—	52	4	no	—
1446	#41	—	52	4	no	—
1447	#41	—	52	4	no	—
1448	C₂×Q₈	—	2	1	no	—
1449	C₂×Q₈	—	2	1	no	—
1450	C₂×Q₈	—	2	1	no	—
1451	C₂×Q₈	—	4	1	no	—
1452	C₂×Q₈	—	4	1	no	—
1453	C₂×Q₈	—	4	1	no	—
1454	C₂×Q₈	—	4	1	no	—
1455	C₂×Q₈	—	13	1	no	—
1456	C₂×Q₈	—	13	1	no	—
1457	C₂×Q₈	—	13	1	no	—
1458	C₂×Q₈	—	26	2	no	—
1459	C₂×Q₈	—	26	2	no	—
1460	C₂×Q₈	—	26	1	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	—	26	1	no	—
1463	C₂×Q₈	—	52	1	no	—
1464	C₂×Q₈	—	52	1	no	—
1465	C₂×Q₈	—	52	1	no	—
1466	C₂×Q₈	—	52	1	no	—
1467	C₂×Q₈	—	52	4	no	—
1468	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1469	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1470	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1471	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	26	2	no	—
1482	C₂×D₄	—	26	2	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	52	1	no	—
1496	C₂×D₄	—	52	1	no	—
1497	C₂×D₄	—	52	1	no	—
1498	C₂×D₄	—	52	1	no	—
1499	C₂×D₄	—	52	4	no	—
1500	C₂×D₄	—	52	4	no	—
1501	C₂×D₄	—	52	4	no	—
1502	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1503	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1504	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1505	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1506	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1507	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1508	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1509	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1510	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1511	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1531	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1532	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	Q₁₆	—	26	2	no	—
1538	Q₁₆	—	26	2	no	—
1539	Q₁₆	—	26	2	no	—
1540	Q₁₆	—	52	1	no	—
1541	Q₁₆	—	52	1	no	—
1542	Q₁₆	—	52	1	no	—
1543	Q₁₆	—	52	1	no	—
1544	Q₁₆	—	52	1	no	—
1545	Q₁₆	—	52	1	no	—
1546	SD₁₆	—	26	2	no	—
1547	SD₁₆	—	26	2	no	—
1548	SD₁₆	—	26	2	no	—
1549	SD₁₆	—	26	2	no	—
1550	SD₁₆	—	52	1	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	SD₁₆	—	52	1	no	—
1556	SD₁₆	—	52	1	no	—
1557	SD₁₆	—	52	1	no	—
1558	D₈	—	26	2	no	—
1559	D₈	—	52	1	no	—
1560	D₈	—	52	1	no	—
1561	M₁₆	—	52	1	no	—
1562	M₁₆	—	52	1	no	—
1563	M₁₆	—	52	1	no	—
1564	M₁₆	—	52	1	no	—
1565	C₂×C₈	—	13	1	no	—
1566	C₂×C₈	—	13	1	no	—
1567	C₂×C₈	—	13	1	no	—
1568	C₂×C₈	—	13	1	no	—
1569	C₂×C₈	—	13	1	no	—
1570	C₂×C₈	—	13	1	no	—
1571	C₂×C₈	—	13	1	no	—
1572	C₂×C₈	—	13	1	no	—
1573	C₂×C₈	—	52	1	no	—
1574	C₂×C₈	—	52	1	no	—
1575	C₂×C₈	—	52	1	no	—
1576	C₂×C₈	—	52	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	13	1	no	—
1597	C₄⋊C₄	—	13	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1605	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1609	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1610	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1611	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1649	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1650	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1651	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1652	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1653	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1654	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1655	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1656	C₄²	—	2	1	no	—
1657	C₄²	—	2	1	no	—
1658	C₄²	—	2	1	no	—
1659	C₄²	—	2	1	no	—
1660	C₄²	—	2	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1665	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1666	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1667	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1668	C₁₃	#61691	1	1	yes	characteristic, complemented, Sylow
1669	C₂³	—	2	1	no	—
1670	C₂³	—	26	1	no	—
1671	C₂³	—	26	1	no	—
1672	C₂³	—	26	1	no	—
1673	C₂³	—	52	2	no	—
1674	C₂³	—	52	2	no	—
1675	C₂³	—	52	2	no	—
1676	C₂³	—	104	1	no	—
1677	C₂³	—	104	1	no	—
1678	C₂³	—	104	1	no	—
1679	C₂³	—	104	1	no	—
1680	C₂³	—	104	1	no	—
1681	C₂³	—	104	1	no	—
1682	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1683	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1684	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1685	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1686	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	4	1	no	—
1694	Q₈	—	4	1	no	—
1695	Q₈	—	8	1	no	—
1696	Q₈	—	8	1	no	—
1697	Q₈	—	8	1	no	—
1698	Q₈	—	13	2	no	—
1699	Q₈	—	26	1	no	—
1700	Q₈	—	26	1	no	—
1701	Q₈	—	26	1	no	—
1702	Q₈	—	26	1	no	—
1703	Q₈	—	26	1	no	—
1704	Q₈	—	52	2	no	—
1705	Q₈	—	52	2	no	—
1706	Q₈	—	52	2	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	4	1	no	—
1710	D₄	—	4	1	no	—
1711	D₄	—	4	1	no	—
1712	D₄	—	4	1	no	—
1713	D₄	—	4	1	no	—
1714	D₄	—	4	1	no	—
1715	D₄	—	4	1	no	—
1716	D₄	—	4	1	no	—
1717	D₄	—	4	1	no	—
1718	D₄	—	4	1	no	—
1719	D₄	—	8	1	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	—	8	1	no	—
1723	D₄	—	8	1	no	—
1724	D₄	—	13	2	no	—
1725	D₄	—	26	4	no	—
1726	D₄	—	26	1	no	—
1727	D₄	—	26	1	no	—
1728	D₄	—	26	1	no	—
1729	D₄	—	26	1	no	—
1730	D₄	—	26	1	no	—
1731	D₄	—	52	2	no	—
1732	D₄	—	52	2	no	—
1733	D₄	—	52	2	no	—
1734	D₄	—	52	2	no	—
1735	D₄	—	52	2	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	104	1	no	—
1739	D₄	—	104	1	no	—
1740	D₄	—	104	1	no	—
1741	D₄	—	104	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	4	1	no	—
1760	C₂×C₄	—	4	1	no	—
1761	C₂×C₄	—	4	2	no	—
1762	C₂×C₄	—	8	1	no	—
1763	C₂×C₄	—	8	1	no	—
1764	C₂×C₄	—	8	1	no	—
1765	C₂×C₄	—	8	1	no	—
1766	C₂×C₄	—	8	1	no	—
1767	C₂×C₄	—	8	1	no	—
1768	C₂×C₄	—	26	4	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	52	2	no	—
1775	C₂×C₄	—	52	2	no	—
1776	C₂×C₄	—	52	2	no	—
1777	C₂×C₄	—	52	2	no	—
1778	C₂×C₄	—	52	2	no	—
1779	C₂×C₄	—	52	2	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	104	1	no	—
1782	C₂×C₄	—	104	1	no	—
1783	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1784	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1785	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1786	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1787	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1788	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1789	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1790	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1791	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1792	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1793	C₈	—	26	1	no	—
1794	C₈	—	26	1	no	—
1795	C₈	—	26	1	no	—
1796	C₈	—	26	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₈	—	26	1	no	—
1800	C₈	—	26	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	26	2	no	—
1820	C₂²	—	52	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	52	1	no	—
1824	C₂²	—	52	1	no	—
1825	C₂²	—	52	1	no	—
1826	C₂²	—	52	1	no	—
1827	C₂²	—	52	1	no	—
1828	C₂²	—	208	2	no	—
1829	C₂²	—	208	2	no	—
1830	C₂²	—	208	2	no	—
1831	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	26	2	no	—
1849	C₄	—	52	1	no	—
1850	C₄	—	52	1	no	—
1851	C₄	—	52	1	no	—
1852	C₄	—	52	1	no	—
1853	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1854	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1855	C₂	—	4	1	no	—
1856	C₂	—	4	1	no	—
1857	C₂	—	4	1	no	—
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	52	2	no	—
1862	C₂	—	104	1	no	—
1863	C₂	—	104	1	no	—
1864	C₂	#13128467	1	1	yes	characteristic
1865	C₂	#13129607	1	1	yes	characteristic
1866	C₂	#13129623	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×#3547	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3547	D₁₃
hypocenter	C₁₃	#61691
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #532 ◁ #3547

Complements

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

N	H ≅ G/N	type
1. #13128623	C₂	semidirect
2. #13127098	C₂	semidirect
3. #13127046	C₂	semidirect
4. #13127016	C₂	semidirect
5. #13126986	C₂	semidirect
6. #13126941	C₂	semidirect
7. #13126911	C₂	semidirect
8. #13126717	C₂	semidirect
9. #13126665	C₂	semidirect
10. #13126573	C₂	semidirect
11. #13126544	C₂	semidirect
12. #13126489	C₂	semidirect
13. #13126468	C₂	semidirect
14. #13126407	C₂	semidirect
15. #13126387	C₂	semidirect
16. #13126362	C₂	semidirect
17. #13126347	C₂	semidirect
18. #13125835	C₂	semidirect
19. #13125797	C₂	semidirect
20. #13125727	C₂	semidirect
21. #13125712	C₂	semidirect
22. #13125703	C₂	semidirect
23. #13125682	C₂	semidirect
24. #13124939	C₂	semidirect
25. #13124901	C₂	semidirect
26. #13124148	C₂	semidirect
27. #13124137	C₂	semidirect
28. #13124129	C₂	semidirect
29. #13124111	C₂	semidirect
30. #13123912	C₂	semidirect
31. C₁₃×#3547	C₂	semidirect
37. C₁₃×#555	C₂²	semidirect
38. C₁₃×#554	C₂²	semidirect
40. C₁₃×#552	C₂²	semidirect
41. C₁₃×#552	C₂²	semidirect
42. D₄×Q₈×C₁₃	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
44. C₁₃×#548	C₂²	semidirect
45. C₁₃×#547	C₂²	semidirect
51. C₁₃×#537	C₂²	semidirect
53. C₁₃×#536	C₂²	semidirect
54. C₁₃×#533	C₂²	semidirect
56. C₁₃×#529	C₂²	semidirect
59. C₂×#88205	C₂²	semidirect
61. C₂×#88204	C₂²	semidirect
63. C₂²×#6107	C₂²	semidirect
65. C₂×#88196	C₂²	semidirect
85. #11718900	C₂²	semidirect
86. #11718900	C₂²	semidirect
87. #11718899	C₂²	semidirect
88. #11718899	C₂²	semidirect
91. #11718895	C₂²	semidirect
92. #11718895	C₂²	semidirect
93. #11718889	C₂²	semidirect
94. #11718889	C₂²	semidirect
95. #11718888	C₂²	semidirect
96. #11718888	C₂²	semidirect
97. #11718755	C₂²	semidirect
98. #11718751	C₂²	semidirect
99. #11718750	C₂²	semidirect
100. #11718750	C₂²	semidirect
101. #11718748	C₂²	semidirect
102. #11718747	C₂²	semidirect
103. #11718747	C₂²	semidirect
104. #11718744	C₂²	semidirect
105. #11718729	C₂²	semidirect
106. #11718729	C₂²	semidirect
107. #11718727	C₂²	semidirect
108. #11718724	C₂²	semidirect
109. #11718720	C₂²	semidirect
110. #11718720	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718713	C₂²	semidirect
115. #11718713	C₂²	semidirect
116. #11718712	C₂²	semidirect
117. #11718712	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718711	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718711	C₂²	semidirect
123. #11718711	C₂²	semidirect
124. #11718711	C₂²	semidirect
125. #11718710	C₂²	semidirect
126. #11718710	C₂²	semidirect
127. #11718710	C₂²	semidirect
128. #11718709	C₂²	semidirect
129. #11718709	C₂²	semidirect
130. #11718709	C₂²	semidirect
137. #11718708	C₂²	semidirect
138. #11718708	C₂²	semidirect
139. #11718708	C₂²	semidirect
146. #11718706	C₂²	semidirect
147. #11718706	C₂²	semidirect
148. #11718706	C₂²	semidirect
149. #11718703	C₂²	semidirect
150. #11718702	C₂²	semidirect
151. #11718701	C₂²	semidirect
152. #11718701	C₂²	semidirect
153. #11718700	C₂²	semidirect
154. #11718699	C₂²	semidirect
157. #11718698	C₂²	semidirect
160. #11718696	C₂²	semidirect
161. #11718691	C₂²	semidirect
162. C₄×#6107	C₂²	semidirect
163. C₄×#6107	C₂²	semidirect
164. #11718689	C₂²	semidirect
165. #11718689	C₂²	semidirect
166. #11718689	C₂²	semidirect
167. #11718689	C₂²	semidirect
168. #11718689	C₂²	semidirect
169. #11718689	C₂²	semidirect
170. #11718687	C₂²	semidirect
171. C₄×#6106	C₂²	semidirect
172. C₄×#6106	C₂²	semidirect
173. #11718679	C₂²	semidirect
174. #11718677	C₂²	semidirect
175. #11718677	C₂²	semidirect
176. #11718675	C₂²	semidirect
177. #11718673	C₂²	semidirect
178. #11718673	C₂²	semidirect
179. #11718672	C₂²	semidirect
180. #11718672	C₂²	semidirect
181. #11718672	C₂²	semidirect
182. #11718672	C₂²	semidirect
183. D₄×#1055	C₂²	semidirect
184. D₄×#1055	C₂²	semidirect
185. #11718665	C₂²	semidirect
186. #11718664	C₂²	semidirect
187. #11718664	C₂²	semidirect
189. #11718663	C₂²	semidirect
191. #11718657	C₂²	semidirect
192. #11718657	C₂²	semidirect
193. #11718632	C₂²	semidirect
194. #11718631	C₂²	semidirect
195. C₂×#88050	C₂²	semidirect
196. #11718629	C₂²	semidirect
197. #11718628	C₂²	semidirect
199. #11718627	C₂²	semidirect
201. #11718587	C₂²	semidirect
202. #11718586	C₂²	semidirect
736. #3547	D₁₃	semidirect
912. #555	C₂×D₁₃	semidirect
913. #554	C₂×D₁₃	semidirect
915. #552	C₂×D₁₃	semidirect
916. #552	C₂×D₁₃	semidirect
917. D₄×Q₈	C₂×D₁₃	semidirect
922. #548	C₂×D₁₃	semidirect
923. #548	C₂×D₁₃	semidirect
924. #547	C₂×D₁₃	semidirect
938. #537	C₂×D₁₃	semidirect
942. #536	C₂×D₁₃	semidirect
945. #533	C₂×D₁₃	semidirect
948. #529	C₂×D₁₃	semidirect
1668. C₁₃	#61691	semidirect

Maximal subgroups

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

subgroup	index
#13128623	2
#13127098	2
#13127046	2
#13127016	2
#13126986	2
#13126941	2
#13126911	2
#13126717	2
#13126665	2
#13126573	2
#13126544	2
#13126489	2
#13126468	2
#13126407	2
#13126387	2
#13126362	2
#13126347	2
#13125835	2
#13125797	2
#13125727	2
#13125712	2
#13125703	2
#13125682	2
#13124939	2
#13124901	2
#13124148	2
#13124137	2
#13124129	2
#13124111	2
#13123912	2
C₁₃×#3547	2
#61691	13