Subgroups — #16740223

Order 3328.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128567	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128496	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126997	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126993	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126973	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126841	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126837	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126833	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126829	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126789	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126784	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126736	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126732	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126690	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126683	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126649	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125191	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124811	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124773	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124688	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124513	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124099	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124083	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123665	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123527	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123361	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718433	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic
33	C₂²×#6129	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	#11719511	C₂²	1	1	yes	characteristic, complemented
37	C₂×#88193	—	2	1	no	—
38	D₄×C₂²⋊D₁₃	—	2	1	no	—
39	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88165	C₂²	1	1	yes	characteristic
41	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	#11719423	C₂²	1	1	yes	characteristic, complemented
46	#11719420	C₂²	1	1	yes	characteristic
47	#11719415	—	2	1	no	—
48	#11719410	—	2	1	no	—
49	#11719400	C₂²	1	1	yes	characteristic, complemented
50	#11719394	C₂²	1	1	yes	characteristic, complemented
51	#11719368	—	2	1	no	—
52	#11719363	—	2	1	no	—
53	#11719323	C₂²	1	1	yes	characteristic, complemented
54	#11719316	C₂²	1	1	yes	characteristic, complemented
55	#11719315	—	2	1	no	—
56	#11719315	—	2	1	no	—
57	#11719313	C₂²	1	1	yes	characteristic
58	#11719312	C₂²	1	1	yes	characteristic, complemented
59	D₁₃×#121	C₂²	1	1	yes	characteristic
60	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
61	#11719304	C₂²	1	1	yes	characteristic, complemented
62	#11719303	C₂²	1	1	yes	characteristic, complemented
63	#11719302	—	2	1	no	—
64	#11719301	—	2	1	no	—
65	#11719297	—	2	1	no	—
66	#11719296	—	2	1	no	—
67	#11719295	—	2	1	no	—
68	#11719291	—	2	1	no	—
69	#11719268	C₂²	1	1	yes	characteristic, complemented
70	#11719260	C₂²	1	1	yes	characteristic, complemented
71	#11719259	—	2	1	no	—
72	#11719259	C₂²	1	1	yes	characteristic, complemented
73	#11719257	C₂²	1	1	yes	characteristic, complemented
74	#11719252	C₂²	1	1	yes	characteristic
75	#11719251	C₂²	1	1	yes	characteristic
76	#11719250	C₂²	1	1	yes	characteristic, complemented
77	#11719243	—	2	1	no	—
78	#11719237	C₂²	1	1	yes	characteristic, complemented
79	#11719228	C₂²	1	1	yes	characteristic, complemented
80	#11719219	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic, complemented
96	#11718878	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
99	#11718819	C₂²	1	1	yes	characteristic, complemented
100	#11718819	C₂²	1	1	yes	characteristic, complemented
101	#11718819	C₂²	1	1	yes	characteristic, complemented
102	#11718818	C₂²	1	1	yes	characteristic, complemented
103	#11718818	C₂²	1	1	yes	characteristic, complemented
104	#11718817	C₂²	1	1	yes	characteristic, complemented
105	#11718814	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
114	#11718733	C₂²	1	1	yes	characteristic, complemented
115	#11718731	C₂²	1	1	yes	characteristic, complemented
116	#11718729	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718702	C₂²	1	1	yes	characteristic, complemented
119	#11718701	C₂²	1	1	yes	characteristic, complemented
120	#11718699	C₂²	1	1	yes	characteristic, complemented
121	#11718699	C₂²	1	1	yes	characteristic, complemented
122	#11718699	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic, complemented
124	#11718694	C₂²	1	1	yes	characteristic, complemented
125	#11718694	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
127	#11718677	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
129	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
130	#11718668	C₂²	1	1	yes	characteristic, complemented
131	#11718663	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
134	#11718629	C₂²	1	1	yes	characteristic, complemented
135	#11718545	C₂²	1	1	yes	characteristic, complemented
136	#11718544	C₂²	1	1	yes	characteristic, complemented
137	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
138	#11718536	C₂²	1	1	yes	characteristic, complemented
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718527	C₂²	1	1	yes	characteristic, complemented
141	#11718527	C₂²	1	1	yes	characteristic, complemented
142	#11718525	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718518	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718511	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718495	C₂²	1	1	yes	characteristic, complemented
151	#11718448	C₂²	1	1	yes	characteristic, complemented
152	#11718447	C₂²	1	1	yes	characteristic, complemented
153	#11718446	C₂²	1	1	yes	characteristic, complemented
154	#11718445	C₂²	1	1	yes	characteristic, complemented
155	#11718445	C₂²	1	1	yes	characteristic, complemented
156	#11718445	C₂²	1	1	yes	characteristic, complemented
157	#11718443	C₂²	1	1	yes	characteristic, complemented
158	#11718442	C₂²	1	1	yes	characteristic, complemented
159	#11718442	C₂²	1	1	yes	characteristic, complemented
160	#11718442	C₂²	1	1	yes	characteristic, complemented
161	#11718441	C₂²	1	1	yes	characteristic, complemented
162	#11718436	C₂²	1	1	yes	characteristic, complemented
163	#11718436	C₂²	1	1	yes	characteristic, complemented
164	#11718435	C₂²	1	1	yes	characteristic, complemented
165	#11718434	C₂²	1	1	yes	characteristic, complemented
166	#11718433	C₂²	1	1	yes	characteristic
167	#11718433	C₂²	1	1	yes	characteristic
168	#11718433	C₂²	1	1	yes	characteristic, complemented
169	#11718433	C₂²	1	1	yes	characteristic, complemented
170	#11718433	C₂²	1	1	yes	characteristic, complemented
171	#11718433	C₂²	1	1	yes	characteristic, complemented
172	#11718433	C₂²	1	1	yes	characteristic, complemented
173	#11718433	C₂²	1	1	yes	characteristic, complemented
174	#11718433	C₂²	1	1	yes	characteristic, complemented
175	#11718432	C₂²	1	1	yes	characteristic
176	#11718432	C₂²	1	1	yes	characteristic, complemented
177	#11718432	C₂²	1	1	yes	characteristic, complemented
178	#11718431	C₂²	1	1	yes	characteristic, complemented
179	#11718431	C₂²	1	1	yes	characteristic, complemented
180	#11718431	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
184	#11718429	C₂²	1	1	yes	characteristic, complemented
185	#11718427	C₂²	1	1	yes	characteristic, complemented
186	#11718426	C₂²	1	1	yes	characteristic, complemented
187	#11718425	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718420	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic, complemented
194	#11718388	C₂²	1	1	yes	characteristic, complemented
195	#11718387	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718369	C₂²	1	1	yes	characteristic, complemented
202	#11718367	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂³×Dic₁₃	—	2	1	no	—
211	#88251	—	2	4	no	—
212	#88251	—	4	2	no	—
213	C₂×#6129	—	2	4	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	—	4	2	no	—
220	C₂×#6129	C₂³	1	1	yes	characteristic
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×#6129	C₂³	1	1	yes	characteristic
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×#6129	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	—	2	1	no	—
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×#127	C₂³	1	1	yes	characteristic
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	C₂³	1	1	yes	characteristic
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#120	—	2	1	no	—
251	C₁₃×#120	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	#88207	—	2	1	no	—
259	#88207	—	2	1	no	—
260	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
261	#88194	—	2	1	no	—
262	#88194	—	2	1	no	—
263	#88194	—	2	1	no	—
264	#88194	C₂³	1	1	yes	characteristic
265	#88193	—	2	1	no	—
266	#88193	—	2	1	no	—
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	D₄	1	1	yes	characteristic
279	#88192	—	2	1	no	—
280	#88192	C₂³	1	1	yes	characteristic
281	#88192	C₂³	1	1	yes	characteristic
282	#88192	C₂³	1	1	yes	characteristic
283	#88192	C₂³	1	1	yes	characteristic
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	D₄	1	1	yes	characteristic
289	#88190	C₂³	1	1	yes	characteristic
290	#88189	—	2	1	no	—
291	#88189	—	2	1	no	—
292	D₄×Dic₁₃	—	2	1	no	—
293	D₄×Dic₁₃	—	2	1	no	—
294	D₄×Dic₁₃	—	2	1	no	—
295	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×#6105	C₂³	1	1	yes	characteristic
298	C₂×#6105	C₂³	1	1	yes	characteristic
299	C₂×#6104	C₂³	1	1	yes	characteristic
300	C₂×#6104	C₂³	1	1	yes	characteristic
301	C₂×#6104	C₂³	1	1	yes	characteristic
302	C₂×#6104	C₂³	1	1	yes	characteristic
303	#88184	—	2	1	no	—
304	#88184	—	2	1	no	—
305	#88184	—	2	1	no	—
306	#88184	C₂³	1	1	yes	characteristic
307	#88184	C₂³	1	1	yes	characteristic
308	#88184	C₂³	1	1	yes	characteristic
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	C₄×C₂²⋊D₁₃	—	2	1	no	—
311	C₄×C₂²⋊D₁₃	—	2	1	no	—
312	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
314	C₂×#6103	—	2	1	no	—
315	C₂×#6103	—	2	1	no	—
316	C₂×#6103	—	2	1	no	—
317	#88180	—	2	1	no	—
318	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
320	#88178	C₂³	1	1	yes	characteristic
321	C₂×#6101	—	2	1	no	—
322	C₂×C₄×Dic₁₃	—	2	1	no	—
323	C₂²×#1055	C₂³	1	1	yes	characteristic
324	C₂²×#1055	C₂³	1	1	yes	characteristic
325	#88165	—	2	4	no	—
326	#88165	—	4	2	no	—
327	D₈×D₁₃	—	4	2	no	—
328	#88161	—	4	2	no	—
329	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
330	C₂×#6095	C₂³	1	1	yes	characteristic
331	C₂×#6095	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×#6094	C₂³	1	1	yes	characteristic
334	C₂×#6094	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	—	4	2	no	—
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
341	#88152	—	2	1	no	—
342	#88152	—	2	1	no	—
343	#88151	—	2	1	no	—
344	#88151	—	2	1	no	—
345	#88151	C₂³	1	1	yes	characteristic
346	#88150	—	2	1	no	—
347	#88150	—	2	1	no	—
348	#88150	D₄	1	1	yes	characteristic
349	#88149	—	2	1	no	—
350	#88149	C₂³	1	1	yes	characteristic
351	#88149	C₂³	1	1	yes	characteristic
352	#88149	C₂³	1	1	yes	characteristic
353	#88148	—	2	1	no	—
354	#88148	—	2	1	no	—
355	#88148	D₄	1	1	yes	characteristic
356	#88147	—	2	1	no	—
357	#88147	C₂³	1	1	yes	characteristic
358	#88146	—	2	1	no	—
359	#88146	—	2	1	no	—
360	#88146	C₂³	1	1	yes	characteristic
361	#88146	C₂³	1	1	yes	characteristic
362	#88146	C₂³	1	1	yes	characteristic
363	#88146	C₂³	1	1	yes	characteristic
364	#88146	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	#88144	C₂³	1	1	yes	characteristic
369	#88143	—	2	1	no	—
370	#88142	—	2	1	no	—
371	#88142	C₂³	1	1	yes	characteristic
372	#88141	C₂³	1	1	yes	characteristic
373	#88140	—	2	1	no	—
374	#88140	—	2	1	no	—
375	#88140	—	2	1	no	—
376	#88140	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	D₄	1	1	yes	characteristic
389	#88137	—	2	1	no	—
390	#88137	D₄	1	1	yes	characteristic
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	D₄	1	1	yes	characteristic
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	#88133	—	2	1	no	—
404	#88132	—	2	1	no	—
405	#88132	—	2	1	no	—
406	#88132	—	2	1	no	—
407	#88132	D₄	1	1	yes	characteristic
408	#88131	—	2	1	no	—
409	#88129	—	2	1	no	—
410	#88129	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	#88123	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88058	C₂³	1	1	yes	characteristic
458	#88058	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	C₄×#1055	C₂³	1	1	yes	characteristic
487	#61171	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂⁴×C₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂×D₄×C₁₃	—	2	2	no	—
495	C₂×D₄×C₁₃	—	2	2	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	4	1	no	—
505	C₂×D₄×C₁₃	—	4	1	no	—
506	C₂×D₄×C₁₃	—	8	2	no	—
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	—	4	4	no	—
537	C₂×C₂²⋊D₁₃	—	4	4	no	—
538	C₂×C₂²⋊D₁₃	—	8	2	no	—
539	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₁₃	—	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	—	2	1	no	—
553	C₂²×Dic₁₃	—	4	4	no	—
554	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
555	#6129	—	2	2	no	—
556	#6129	—	2	2	no	—
557	#6129	—	2	2	no	—
558	#6129	—	2	2	no	—
559	#6129	—	2	2	no	—
560	#6129	—	2	2	no	—
561	#6129	—	4	1	no	—
562	#6129	—	4	1	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	4	no	—
565	#6129	—	4	4	no	—
566	#6129	—	4	4	no	—
567	#6129	—	8	2	no	—
568	#6129	—	8	2	no	—
569	#6129	#41	1	4	yes	complemented
570	D₄×D₁₃	—	2	2	no	—
571	D₄×D₁₃	—	2	2	no	—
572	D₄×D₁₃	—	2	2	no	—
573	D₄×D₁₃	—	2	2	no	—
574	D₄×D₁₃	—	2	2	no	—
575	D₄×D₁₃	—	4	1	no	—
576	D₄×D₁₃	—	4	4	no	—
577	D₄×D₁₃	—	8	2	no	—
578	D₄×D₁₃	—	8	2	no	—
579	#6127	—	2	2	no	—
580	#6127	—	2	2	no	—
581	#6127	—	2	2	no	—
582	#6127	—	4	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
587	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
588	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
589	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₁₃	—	2	2	no	—
591	C₂×C₄×D₁₃	—	2	2	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×Dic₂₆	—	2	2	no	—
604	C₂×Dic₂₆	—	2	1	no	—
605	C₂×Dic₂₆	—	2	1	no	—
606	C₂×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	—	4	1	no	—
608	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
609	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
611	C₁₃×D₈	—	2	2	no	—
612	C₁₃×D₈	—	4	1	no	—
613	C₁₃×D₈	—	4	1	no	—
614	C₁₃×M₁₆	—	4	1	no	—
615	C₂×C₈×C₁₃	—	4	1	no	—
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	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	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₄²×C₁₃	—	2	1	no	—
638	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
650	#6105	—	2	2	no	—
651	#6105	—	4	1	no	—
652	#6104	—	2	2	no	—
653	#6104	—	4	1	no	—
654	#6104	—	4	1	no	—
655	#6104	—	4	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	#6103	C₂×D₄	1	1	yes	characteristic
677	#6103	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	C₂×D₄	1	1	yes	characteristic
697	#6101	C₂×D₄	1	1	yes	characteristic
698	#6101	C₂×D₄	1	1	yes	characteristic
699	#6101	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	—	2	1	no	—
706	C₄×Dic₁₃	—	2	1	no	—
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	D₁₀₄	—	4	1	no	—
715	#6095	—	2	2	no	—
716	#6095	—	4	1	no	—
717	#6094	—	2	2	no	—
718	#6094	—	2	2	no	—
719	#6094	—	4	1	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	4	1	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₈×D₁₃	—	4	1	no	—
725	#3494	—	13	1	no	—
726	#3488	—	13	1	no	—
727	#3319	—	13	1	no	—
728	#3319	—	13	1	no	—
729	#3318	—	13	1	no	—
730	#3318	D₁₃	1	1	yes	characteristic, complemented
731	#3309	—	13	1	no	—
732	#3309	—	13	1	no	—
733	#3308	—	13	1	no	—
734	#3308	—	13	1	no	—
735	#3305	—	13	1	no	—
736	#3305	—	13	1	no	—
737	#3301	—	13	1	no	—
738	#3301	—	13	1	no	—
739	#3297	—	13	1	no	—
740	#3297	—	13	1	no	—
741	#3294	—	13	1	no	—
742	#3294	—	13	1	no	—
743	#3136	—	13	1	no	—
744	#3098	—	13	1	no	—
745	#3094	—	13	1	no	—
746	#3083	—	13	1	no	—
747	#3062	—	13	1	no	—
748	C₂×#466	—	13	1	no	—
749	#3041	—	13	1	no	—
750	#3008	—	13	1	no	—
751	#3006	—	13	1	no	—
752	#2946	—	13	1	no	—
753	#2929	—	13	1	no	—
754	#2897	—	13	1	no	—
755	C₂×#416	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	—	2	1	no	—
759	C₂³×C₁₃	—	2	1	no	—
760	C₂³×C₁₃	—	4	2	no	—
761	C₂³×C₁₃	—	4	2	no	—
762	C₂³×C₁₃	—	4	2	no	—
763	C₂³×C₁₃	—	8	1	no	—
764	C₂³×C₁₃	—	8	1	no	—
765	C₂³×C₁₃	—	8	1	no	—
766	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂²×D₁₃	—	2	2	no	—
769	C₂²×D₁₃	—	2	2	no	—
770	C₂²×D₁₃	—	2	1	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	4	1	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	8	1	no	—
777	C₂²×D₁₃	—	8	1	no	—
778	C₂²×D₁₃	—	8	1	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
785	D₄×C₁₃	—	2	2	no	—
786	D₄×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	2	1	no	—
788	D₄×C₁₃	—	2	1	no	—
789	D₄×C₁₃	—	2	1	no	—
790	D₄×C₁₃	—	2	1	no	—
791	D₄×C₁₃	—	2	1	no	—
792	D₄×C₁₃	—	2	1	no	—
793	D₄×C₁₃	—	4	2	no	—
794	D₄×C₁₃	—	4	2	no	—
795	D₄×C₁₃	—	4	2	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	D₄×C₁₃	C₂×#41	1	2	yes	—
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	—	8	1	no	—
811	C₂×C₄×C₁₃	—	8	1	no	—
812	C₂×C₄×C₁₃	—	8	1	no	—
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
818	C₂²⋊D₁₃	—	2	2	no	—
819	C₂²⋊D₁₃	—	2	2	no	—
820	C₂²⋊D₁₃	—	2	4	no	—
821	C₂²⋊D₁₃	—	2	2	no	—
822	C₂²⋊D₁₃	—	4	1	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	4	2	no	—
826	C₂²⋊D₁₃	—	4	2	no	—
827	C₂²⋊D₁₃	—	4	2	no	—
828	C₂²⋊D₁₃	—	4	2	no	—
829	C₂²⋊D₁₃	—	4	2	no	—
830	C₂²⋊D₁₃	—	4	2	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	8	1	no	—
834	C₂²⋊D₁₃	—	8	1	no	—
835	C₂²⋊D₁₃	—	8	1	no	—
836	C₂²⋊D₁₃	—	8	1	no	—
837	C₂²⋊D₁₃	—	8	1	no	—
838	C₂²⋊D₁₃	—	8	1	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	2	no	—
842	C₂×Dic₁₃	—	2	4	no	—
843	C₂×Dic₁₃	—	2	1	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	—	4	2	no	—
849	C₂×Dic₁₃	—	4	2	no	—
850	C₂×Dic₁₃	—	4	2	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	4	2	no	—
854	C₂×Dic₁₃	—	8	1	no	—
855	C₂×Dic₁₃	—	8	1	no	—
856	C₂×Dic₁₃	—	8	1	no	—
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	D₅₂	—	2	2	no	—
863	D₅₂	—	2	1	no	—
864	D₅₂	—	2	1	no	—
865	D₅₂	—	2	1	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	4	1	no	—
868	D₅₂	—	8	1	no	—
869	D₅₂	—	8	1	no	—
870	D₅₂	—	8	1	no	—
871	C₄×D₁₃	—	2	2	no	—
872	C₄×D₁₃	—	2	1	no	—
873	C₄×D₁₃	—	2	1	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	8	1	no	—
879	C₄×D₁₃	—	8	1	no	—
880	C₄×D₁₃	—	8	1	no	—
881	C₄×D₁₃	—	8	1	no	—
882	C₄×D₁₃	—	8	1	no	—
883	C₄×D₁₃	C₂×#41	1	2	yes	—
884	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	2	no	—
887	Dic₂₆	—	2	1	no	—
888	Dic₂₆	—	2	1	no	—
889	Dic₂₆	—	4	2	no	—
890	Dic₂₆	—	8	1	no	—
891	Dic₂₆	—	8	1	no	—
892	Dic₂₆	C₂×#41	1	2	yes	—
893	C₈×C₁₃	—	2	1	no	—
894	C₈×C₁₃	—	2	1	no	—
895	C₈×C₁₃	—	2	1	no	—
896	C₈×C₁₃	—	2	1	no	—
897	#1055	—	2	1	no	—
898	#1055	—	2	1	no	—
899	#1055	—	2	1	no	—
900	#1055	—	2	1	no	—
901	C₂×H(5,𝔽₂)	—	13	1	no	—
902	C₂²×#41	—	13	1	no	—
903	C₂×AGL(1,ℤ/8)	—	13	1	no	—
904	C₂×AGL(1,ℤ/8)	—	13	1	no	—
905	C₂²×D₈	—	13	1	no	—
906	C₂×#131	—	13	1	no	—
907	C₂³×C₈	—	13	1	no	—
908	#555	—	13	1	no	—
909	#555	—	13	1	no	—
910	#553	—	13	1	no	—
911	#553	—	13	1	no	—
912	#553	—	13	1	no	—
913	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
914	#551	—	26	1	no	—
915	#551	—	26	1	no	—
916	#550	—	13	1	no	—
917	#550	—	13	1	no	—
918	#548	—	13	1	no	—
919	#548	—	13	1	no	—
920	#547	—	13	1	no	—
921	#547	—	13	1	no	—
922	#546	—	13	1	no	—
923	#546	—	13	1	no	—
924	#546	—	26	1	no	—
925	#546	—	26	1	no	—
926	#546	—	26	1	no	—
927	#546	—	26	1	no	—
928	D₄²	—	13	1	no	—
929	D₄²	—	26	1	no	—
930	D₄²	—	26	1	no	—
931	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#544	—	13	1	no	—
933	#542	—	26	1	no	—
934	#540	—	26	1	no	—
935	#537	—	13	1	no	—
936	#537	—	26	1	no	—
937	#535	—	13	1	no	—
938	#535	—	13	1	no	—
939	#535	—	26	1	no	—
940	#532	—	26	1	no	—
941	#529	—	26	1	no	—
942	#525	—	13	1	no	—
943	#525	—	26	1	no	—
944	C₂×#121	—	13	1	no	—
945	C₂×#121	—	13	1	no	—
946	C₂×#121	—	26	1	no	—
947	#520	—	13	1	no	—
948	#520	—	13	1	no	—
949	#518	—	13	1	no	—
950	C₂×#117	—	13	1	no	—
951	#490	—	13	1	no	—
952	#490	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#489	—	13	1	no	—
954	#489	—	13	1	no	—
955	#488	—	13	1	no	—
956	#488	—	13	1	no	—
957	#486	—	13	1	no	—
958	#486	—	13	1	no	—
959	#485	—	13	1	no	—
960	#485	—	13	1	no	—
961	#484	—	13	1	no	—
962	#484	—	13	1	no	—
963	#482	—	13	1	no	—
964	#482	—	13	1	no	—
965	#482	—	13	1	no	—
966	#482	—	13	1	no	—
967	#482	—	13	1	no	—
968	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#481	—	13	1	no	—
970	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
971	#480	—	13	1	no	—
972	#480	—	13	1	no	—
973	#480	—	13	1	no	—
974	#480	—	13	1	no	—
975	#479	—	13	1	no	—
976	#479	—	13	1	no	—
977	#478	—	13	1	no	—
978	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#477	—	13	1	no	—
980	#477	—	13	1	no	—
981	#474	—	13	1	no	—
982	#474	—	13	1	no	—
983	#469	—	13	1	no	—
984	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#468	—	13	1	no	—
986	#468	—	13	1	no	—
987	#466	—	13	1	no	—
988	#466	—	13	1	no	—
989	#466	—	13	1	no	—
990	#466	—	13	1	no	—
991	#466	—	13	1	no	—
992	#466	—	13	1	no	—
993	#466	—	13	1	no	—
994	#466	—	13	1	no	—
995	#466	—	13	1	no	—
996	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#465	—	13	1	no	—
998	#465	—	13	1	no	—
999	#463	—	13	1	no	—
1000	#463	—	13	1	no	—
1001	#463	—	13	1	no	—
1002	#463	—	13	1	no	—
1003	#459	—	13	1	no	—
1004	#459	—	13	1	no	—
1005	#459	—	13	1	no	—
1006	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1007	#449	—	13	1	no	—
1008	#449	—	13	1	no	—
1009	#449	—	13	1	no	—
1010	#449	—	13	1	no	—
1011	#449	—	13	1	no	—
1012	#449	—	13	1	no	—
1013	#449	—	13	1	no	—
1014	#449	—	13	1	no	—
1015	#448	—	13	1	no	—
1016	#448	—	13	1	no	—
1017	#447	—	13	1	no	—
1018	#447	—	13	1	no	—
1019	#447	—	13	1	no	—
1020	#447	—	13	1	no	—
1021	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#442	—	13	1	no	—
1024	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1025	#440	—	13	1	no	—
1026	#440	—	13	1	no	—
1027	C₄×SD₁₆	—	13	1	no	—
1028	C₄×SD₁₆	—	13	1	no	—
1029	C₄×D₈	—	13	1	no	—
1030	C₄×D₈	—	13	1	no	—
1031	#435	—	13	1	no	—
1032	#435	—	13	1	no	—
1033	#435	—	13	1	no	—
1034	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	C₈×D₄	—	13	1	no	—
1036	C₈×D₄	—	13	1	no	—
1037	C₈×D₄	—	13	1	no	—
1038	C₈×D₄	—	13	1	no	—
1039	#428	—	13	1	no	—
1040	#428	—	13	1	no	—
1041	C₂×#107	—	13	1	no	—
1042	#424	—	13	1	no	—
1043	#418	—	13	1	no	—
1044	#418	—	13	1	no	—
1045	#418	—	13	1	no	—
1046	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#417	—	13	1	no	—
1048	#417	—	13	1	no	—
1049	#417	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#416	—	13	1	no	—
1052	#416	—	13	1	no	—
1053	#416	—	13	1	no	—
1054	#416	—	13	1	no	—
1055	#416	—	13	1	no	—
1056	#416	—	13	1	no	—
1057	#416	—	13	1	no	—
1058	#416	—	13	1	no	—
1059	#416	—	13	1	no	—
1060	#416	—	13	1	no	—
1061	C₂×#103	—	13	1	no	—
1062	C₂×#103	—	13	1	no	—
1063	C₂×#102	—	13	1	no	—
1064	C₂×#102	—	13	1	no	—
1065	C₂×#102	—	13	1	no	—
1066	C₂×#102	—	13	1	no	—
1067	C₂×#102	—	13	1	no	—
1068	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	#408	—	13	1	no	—
1070	#407	—	13	1	no	—
1071	#405	—	13	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	2	no	—
1076	C₂²×C₁₃	—	2	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	8	4	no	—
1090	C₂²×C₁₃	—	16	2	no	—
1091	C₂²×C₁₃	#576	1	2	yes	—
1092	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	2	1	no	—
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	1	no	—
1100	C₂×D₁₃	—	2	1	no	—
1101	C₂×D₁₃	—	4	4	no	—
1102	C₂×D₁₃	—	4	1	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	1	no	—
1107	C₂×D₁₃	—	4	1	no	—
1108	C₂×D₁₃	—	16	2	no	—
1109	C₂×D₁₃	—	16	2	no	—
1110	C₂×D₁₃	—	16	2	no	—
1111	C₂×D₁₃	#546	1	2	yes	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	2	1	no	—
1114	C₄×C₁₃	—	2	1	no	—
1115	C₄×C₁₃	—	2	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	—	4	1	no	—
1118	C₄×C₁₃	—	4	1	no	—
1119	C₄×C₁₃	—	4	1	no	—
1120	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1121	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1122	Dic₁₃	—	2	1	no	—
1123	Dic₁₃	—	2	1	no	—
1124	Dic₁₃	—	2	2	no	—
1125	Dic₁₃	—	2	1	no	—
1126	Dic₁₃	—	2	1	no	—
1127	Dic₁₃	—	4	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	Dic₁₃	#546	1	2	yes	—
1133	H(5,𝔽₂)	—	26	4	no	—
1134	H(5,𝔽₂)	—	52	2	no	—
1135	C₂×#41	—	13	1	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	13	1	no	—
1138	C₂×#41	—	13	1	no	—
1139	C₂×#41	—	13	1	no	—
1140	C₂×#41	—	13	1	no	—
1141	C₂×#41	—	13	1	no	—
1142	C₂×#41	—	26	1	no	—
1143	C₂×#41	—	26	1	no	—
1144	C₂×#41	—	26	1	no	—
1145	C₂×#41	—	26	1	no	—
1146	C₂×#41	—	26	1	no	—
1147	C₂×#41	—	26	4	no	—
1148	C₂×#41	—	52	2	no	—
1149	C₂²×Q₈	—	13	1	no	—
1150	C₂²×D₄	—	2	1	no	—
1151	C₂²×D₄	—	13	1	no	—
1152	C₂²×D₄	—	13	1	no	—
1153	C₂²×D₄	—	13	1	no	—
1154	C₂²×D₄	—	26	1	no	—
1155	C₂²×D₄	—	26	1	no	—
1156	C₂²×D₄	—	26	1	no	—
1157	C₂²×D₄	—	26	1	no	—
1158	C₂²×D₄	—	26	1	no	—
1159	C₂²×D₄	—	26	1	no	—
1160	C₂²×D₄	—	26	1	no	—
1161	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂³×C₄	—	13	1	no	—
1164	C₂³×C₄	—	26	1	no	—
1165	AGL(1,ℤ/8)	—	26	4	no	—
1166	AGL(1,ℤ/8)	—	52	2	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×D₈	—	13	1	no	—
1172	C₂×D₈	—	13	1	no	—
1173	C₂×D₈	—	13	1	no	—
1174	C₂×D₈	—	13	1	no	—
1175	C₂×D₈	—	13	1	no	—
1176	C₂×D₈	—	52	2	no	—
1177	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1180	#131	—	52	2	no	—
1181	C₂×M₁₆	—	13	1	no	—
1182	C₂×M₁₆	—	13	1	no	—
1183	C₂×M₁₆	—	13	1	no	—
1184	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1185	C₂²×C₈	—	13	1	no	—
1186	C₂²×C₈	—	13	1	no	—
1187	C₂²×C₈	—	13	1	no	—
1188	C₂²×C₈	—	13	1	no	—
1189	C₂²×C₈	—	13	1	no	—
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	—	13	1	no	—
1192	C₂²×C₈	—	52	2	no	—
1193	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄⋊Q₈	—	13	1	no	—
1195	C₄⋊Q₈	—	13	1	no	—
1196	C₄⋊Q₈	—	26	1	no	—
1197	#127	—	13	1	no	—
1198	#127	—	26	1	no	—
1199	#127	—	26	1	no	—
1200	#127	—	26	1	no	—
1201	#127	C₂²×D₁₃	1	1	yes	characteristic
1202	#126	—	2	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#126	—	26	1	no	—
1206	#125	—	13	1	no	—
1207	#125	—	26	1	no	—
1208	#125	C₂²×D₁₃	1	1	yes	characteristic
1209	#124	—	13	1	no	—
1210	#124	—	13	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	—	26	1	no	—
1214	#124	—	26	1	no	—
1215	#124	—	26	1	no	—
1216	#124	—	26	1	no	—
1217	#124	—	26	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	13	1	no	—
1220	#123	—	13	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	—	26	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	C₂²⋊Q₈	—	13	1	no	—
1231	C₂²⋊Q₈	—	13	1	no	—
1232	C₂²⋊Q₈	—	13	1	no	—
1233	C₂²⋊Q₈	—	13	1	no	—
1234	C₂²⋊Q₈	—	26	1	no	—
1235	C₂²⋊Q₈	—	26	1	no	—
1236	C₂²⋊Q₈	—	26	1	no	—
1237	C₂²⋊Q₈	—	26	1	no	—
1238	C₂²⋊Q₈	—	26	1	no	—
1239	C₂²⋊Q₈	—	26	1	no	—
1240	C₂²⋊Q₈	—	26	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	13	1	no	—
1244	#121	—	13	1	no	—
1245	#121	—	13	1	no	—
1246	#121	—	13	1	no	—
1247	#121	—	13	1	no	—
1248	#121	—	13	1	no	—
1249	#121	—	13	1	no	—
1250	#121	—	13	1	no	—
1251	#121	—	13	1	no	—
1252	#121	—	13	1	no	—
1253	#121	—	13	1	no	—
1254	#121	—	13	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	—	26	1	no	—
1267	#121	—	26	1	no	—
1268	#121	—	26	1	no	—
1269	#121	—	26	1	no	—
1270	#121	—	26	1	no	—
1271	#121	—	26	1	no	—
1272	#121	—	26	1	no	—
1273	#121	—	26	1	no	—
1274	#121	—	26	1	no	—
1275	#121	—	26	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	C₂²×D₁₃	1	1	yes	characteristic
1279	#121	C₂²×D₁₃	1	1	yes	characteristic
1280	#121	C₂²×D₁₃	1	1	yes	characteristic
1281	#121	C₂²×D₁₃	1	1	yes	characteristic
1282	#120	—	2	1	no	—
1283	#120	—	2	1	no	—
1284	#120	—	13	1	no	—
1285	#120	—	13	1	no	—
1286	#120	—	26	1	no	—
1287	#120	—	26	1	no	—
1288	#120	—	26	1	no	—
1289	#120	—	26	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	#120	—	26	1	no	—
1293	#120	—	26	1	no	—
1294	C₄×Q₈	—	13	1	no	—
1295	C₄×Q₈	—	13	1	no	—
1296	C₄×Q₈	—	26	1	no	—
1297	C₄×D₄	—	2	1	no	—
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	13	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	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	—	26	1	no	—
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	#117	—	13	1	no	—
1323	#117	—	13	1	no	—
1324	#117	—	13	1	no	—
1325	#117	—	13	1	no	—
1326	#117	—	13	1	no	—
1327	#117	—	13	1	no	—
1328	#117	—	26	1	no	—
1329	#117	—	26	1	no	—
1330	#117	—	26	1	no	—
1331	#117	—	26	1	no	—
1332	#117	—	26	1	no	—
1333	#117	C₂²×D₁₃	1	1	yes	characteristic
1334	C₂×C₄⋊C₄	—	13	1	no	—
1335	C₂×C₄⋊C₄	—	13	1	no	—
1336	C₂×C₄⋊C₄	—	13	1	no	—
1337	C₂×C₄⋊C₄	—	13	1	no	—
1338	C₂×C₄⋊C₄	—	13	1	no	—
1339	C₂×C₄⋊C₄	—	26	1	no	—
1340	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1341	C₂×C₂²⋊C₄	—	26	1	no	—
1342	C₂×C₂²⋊C₄	—	26	1	no	—
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×C₄²	—	26	1	no	—
1349	#107	—	13	1	no	—
1350	#107	—	13	1	no	—
1351	#107	—	13	1	no	—
1352	#107	—	13	1	no	—
1353	#107	—	13	1	no	—
1354	#107	—	13	1	no	—
1355	#107	—	13	1	no	—
1356	#107	C₂²×D₁₃	1	1	yes	characteristic
1357	#106	—	13	1	no	—
1358	#106	—	13	1	no	—
1359	#106	C₂²×D₁₃	1	1	yes	characteristic
1360	#106	C₂²×D₁₃	1	1	yes	characteristic
1361	C₄⋊C₈	—	13	1	no	—
1362	C₄⋊C₈	—	13	1	no	—
1363	C₄⋊C₈	—	13	1	no	—
1364	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	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	#102	C₂²×D₁₃	1	1	yes	characteristic
1396	#102	C₂²×D₁₃	1	1	yes	characteristic
1397	#102	C₂²×D₁₃	1	1	yes	characteristic
1398	#102	C₂²×D₁₃	1	1	yes	characteristic
1399	#102	C₂²×D₁₃	1	1	yes	characteristic
1400	#102	C₂²×D₁₃	1	1	yes	characteristic
1401	#102	C₂²×D₁₃	1	1	yes	characteristic
1402	#102	C₂²×D₁₃	1	1	yes	characteristic
1403	#102	C₂²×D₁₃	1	1	yes	characteristic
1404	#102	C₂²×D₁₃	1	1	yes	characteristic
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1413	#97	—	13	1	no	—
1414	#97	C₂²×D₁₃	1	1	yes	characteristic
1415	C₄×C₈	—	13	1	no	—
1416	C₄×C₈	—	13	1	no	—
1417	C₂×C₁₃	—	2	2	no	—
1418	C₂×C₁₃	—	4	2	no	—
1419	C₂×C₁₃	—	4	1	no	—
1420	C₂×C₁₃	—	8	1	no	—
1421	C₂×C₁₃	—	8	1	no	—
1422	C₂×C₁₃	—	8	1	no	—
1423	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1424	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1425	C₂×C₁₃	#3584	1	1	yes	characteristic
1426	D₁₃	—	2	2	no	—
1427	D₁₃	—	4	1	no	—
1428	D₁₃	—	4	1	no	—
1429	D₁₃	—	8	1	no	—
1430	D₁₃	—	8	1	no	—
1431	C₂⁴	—	2	1	no	—
1432	C₂⁴	—	2	1	no	—
1433	C₂⁴	—	13	1	no	—
1434	C₂⁴	—	26	1	no	—
1435	C₂⁴	—	26	1	no	—
1436	C₂⁴	—	26	1	no	—
1437	#41	—	13	4	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	26	2	no	—
1441	#41	—	26	2	no	—
1442	#41	—	26	2	no	—
1443	#41	—	26	2	no	—
1444	#41	—	26	2	no	—
1445	#41	—	26	2	no	—
1446	#41	—	26	2	no	—
1447	#41	—	52	1	no	—
1448	#41	—	52	4	no	—
1449	#41	—	52	1	no	—
1450	#41	—	52	1	no	—
1451	#41	—	52	1	no	—
1452	#41	—	52	4	no	—
1453	#41	—	52	4	no	—
1454	#41	—	104	2	no	—
1455	#41	—	104	2	no	—
1456	C₂×Q₈	—	13	1	no	—
1457	C₂×Q₈	—	13	1	no	—
1458	C₂×Q₈	—	13	1	no	—
1459	C₂×Q₈	—	26	1	no	—
1460	C₂×Q₈	—	26	2	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	—	26	1	no	—
1463	C₂×Q₈	—	52	1	no	—
1464	C₂×D₄	—	2	2	no	—
1465	C₂×D₄	—	2	2	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	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	2	1	no	—
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	4	1	no	—
1475	C₂×D₄	—	4	1	no	—
1476	C₂×D₄	—	8	2	no	—
1477	C₂×D₄	—	13	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	13	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	2	no	—
1489	C₂×D₄	—	26	2	no	—
1490	C₂×D₄	—	26	2	no	—
1491	C₂×D₄	—	26	2	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	2	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	52	1	no	—
1512	C₂×D₄	—	52	4	no	—
1513	C₂×D₄	—	52	4	no	—
1514	C₂×D₄	—	52	4	no	—
1515	C₂×D₄	—	52	4	no	—
1516	C₂×D₄	—	104	2	no	—
1517	C₂×D₄	—	104	2	no	—
1518	C₂×D₄	—	104	2	no	—
1519	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1520	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1521	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1523	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	13	1	no	—
1528	C₂²×C₄	—	13	1	no	—
1529	C₂²×C₄	—	13	1	no	—
1530	C₂²×C₄	—	13	1	no	—
1531	C₂²×C₄	—	13	1	no	—
1532	C₂²×C₄	—	13	1	no	—
1533	C₂²×C₄	—	26	2	no	—
1534	C₂²×C₄	—	26	2	no	—
1535	C₂²×C₄	—	26	1	no	—
1536	C₂²×C₄	—	26	1	no	—
1537	C₂²×C₄	—	26	1	no	—
1538	C₂²×C₄	—	26	1	no	—
1539	C₂²×C₄	—	26	1	no	—
1540	C₂²×C₄	—	26	1	no	—
1541	C₂²×C₄	—	26	1	no	—
1542	C₂²×C₄	—	26	1	no	—
1543	C₂²×C₄	—	26	1	no	—
1544	C₂²×C₄	—	26	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	52	4	no	—
1552	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1553	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1554	SD₁₆	—	26	2	no	—
1555	SD₁₆	—	26	2	no	—
1556	SD₁₆	—	52	1	no	—
1557	SD₁₆	—	52	1	no	—
1558	D₈	—	2	2	no	—
1559	D₈	—	4	1	no	—
1560	D₈	—	4	1	no	—
1561	D₈	—	26	2	no	—
1562	D₈	—	52	1	no	—
1563	D₈	—	52	1	no	—
1564	D₈	—	52	1	no	—
1565	D₈	—	52	1	no	—
1566	M₁₆	—	4	1	no	—
1567	M₁₆	—	26	2	no	—
1568	M₁₆	—	26	2	no	—
1569	M₁₆	—	52	1	no	—
1570	C₂×C₈	—	4	1	no	—
1571	C₂×C₈	—	13	1	no	—
1572	C₂×C₈	—	13	1	no	—
1573	C₂×C₈	—	13	1	no	—
1574	C₂×C₈	—	13	1	no	—
1575	C₂×C₈	—	26	2	no	—
1576	C₂×C₈	—	26	2	no	—
1577	C₂×C₈	—	52	1	no	—
1578	C₂×C₈	—	52	1	no	—
1579	C₂×C₈	—	52	1	no	—
1580	C₂×C₈	—	52	1	no	—
1581	C₂×C₈	—	52	1	no	—
1582	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1583	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1584	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1585	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	13	1	no	—
1590	C₄⋊C₄	—	13	1	no	—
1591	C₄⋊C₄	—	13	1	no	—
1592	C₄⋊C₄	—	13	1	no	—
1593	C₄⋊C₄	—	13	1	no	—
1594	C₄⋊C₄	—	13	1	no	—
1595	C₄⋊C₄	—	13	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	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1612	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1613	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1615	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1624	C₂²⋊C₄	—	13	1	no	—
1625	C₂²⋊C₄	—	13	1	no	—
1626	C₂²⋊C₄	—	13	1	no	—
1627	C₂²⋊C₄	—	13	1	no	—
1628	C₂²⋊C₄	—	13	1	no	—
1629	C₂²⋊C₄	—	13	1	no	—
1630	C₂²⋊C₄	—	13	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	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1657	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1658	C₄²	—	2	1	no	—
1659	C₄²	—	13	1	no	—
1660	C₄²	—	26	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	—	26	1	no	—
1665	C₄²	—	26	1	no	—
1666	C₄²	—	26	1	no	—
1667	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1668	C₁₃	#61171	1	1	yes	characteristic, complemented, Sylow
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	2	1	no	—
1672	C₂³	—	2	1	no	—
1673	C₂³	—	4	2	no	—
1674	C₂³	—	4	2	no	—
1675	C₂³	—	4	2	no	—
1676	C₂³	—	8	1	no	—
1677	C₂³	—	8	1	no	—
1678	C₂³	—	8	1	no	—
1679	C₂³	—	13	1	no	—
1680	C₂³	—	13	1	no	—
1681	C₂³	—	13	1	no	—
1682	C₂³	—	26	2	no	—
1683	C₂³	—	26	2	no	—
1684	C₂³	—	26	1	no	—
1685	C₂³	—	26	1	no	—
1686	C₂³	—	52	1	no	—
1687	C₂³	—	52	2	no	—
1688	C₂³	—	52	2	no	—
1689	C₂³	—	52	2	no	—
1690	C₂³	—	104	1	no	—
1691	C₂³	—	104	1	no	—
1692	C₂³	—	104	1	no	—
1693	C₂³	—	104	1	no	—
1694	C₂³	—	104	1	no	—
1695	C₂³	—	104	1	no	—
1696	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1697	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1698	Q₈	—	13	2	no	—
1699	Q₈	—	26	2	no	—
1700	Q₈	—	26	1	no	—
1701	Q₈	—	26	1	no	—
1702	Q₈	—	26	1	no	—
1703	Q₈	—	52	2	no	—
1704	Q₈	—	104	1	no	—
1705	Q₈	—	104	1	no	—
1706	D₄	—	2	2	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	2	1	no	—
1713	D₄	—	2	1	no	—
1714	D₄	—	4	2	no	—
1715	D₄	—	4	2	no	—
1716	D₄	—	4	2	no	—
1717	D₄	—	4	2	no	—
1718	D₄	—	8	1	no	—
1719	D₄	—	8	1	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	—	26	2	no	—
1723	D₄	—	26	2	no	—
1724	D₄	—	26	2	no	—
1725	D₄	—	26	4	no	—
1726	D₄	—	26	2	no	—
1727	D₄	—	26	1	no	—
1728	D₄	—	26	1	no	—
1729	D₄	—	26	1	no	—
1730	D₄	—	26	1	no	—
1731	D₄	—	52	1	no	—
1732	D₄	—	52	2	no	—
1733	D₄	—	52	2	no	—
1734	D₄	—	52	1	no	—
1735	D₄	—	52	2	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	52	2	no	—
1739	D₄	—	52	2	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	104	1	no	—
1744	D₄	—	104	1	no	—
1745	D₄	—	104	1	no	—
1746	D₄	—	104	1	no	—
1747	D₄	—	104	1	no	—
1748	D₄	—	104	1	no	—
1749	D₄	—	104	1	no	—
1750	D₄	—	104	1	no	—
1751	D₄	—	104	1	no	—
1752	D₄	—	104	1	no	—
1753	D₄	#41×D₁₃	1	2	yes	—
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	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	8	1	no	—
1763	C₂×C₄	—	8	1	no	—
1764	C₂×C₄	—	8	1	no	—
1765	C₂×C₄	—	13	1	no	—
1766	C₂×C₄	—	13	2	no	—
1767	C₂×C₄	—	13	2	no	—
1768	C₂×C₄	—	13	1	no	—
1769	C₂×C₄	—	13	1	no	—
1770	C₂×C₄	—	13	1	no	—
1771	C₂×C₄	—	13	1	no	—
1772	C₂×C₄	—	26	2	no	—
1773	C₂×C₄	—	26	2	no	—
1774	C₂×C₄	—	26	2	no	—
1775	C₂×C₄	—	26	4	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	52	2	no	—
1787	C₂×C₄	—	52	2	no	—
1788	C₂×C₄	—	52	2	no	—
1789	C₂×C₄	—	52	2	no	—
1790	C₂×C₄	—	52	2	no	—
1791	C₂×C₄	—	52	2	no	—
1792	C₂×C₄	—	52	2	no	—
1793	C₂×C₄	—	104	1	no	—
1794	C₂×C₄	—	104	1	no	—
1795	C₂×C₄	—	104	1	no	—
1796	C₂×C₄	—	104	1	no	—
1797	C₂×C₄	—	104	1	no	—
1798	C₂×C₄	—	104	1	no	—
1799	C₂×C₄	—	104	1	no	—
1800	C₂×C₄	—	104	1	no	—
1801	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1802	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1803	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1804	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1806	C₈	—	2	1	no	—
1807	C₈	—	2	1	no	—
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	26	1	no	—
1811	C₈	—	26	1	no	—
1812	C₈	—	26	1	no	—
1813	C₈	—	26	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	2	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	8	4	no	—
1832	C₂²	—	13	2	no	—
1833	C₂²	—	16	2	no	—
1834	C₂²	—	26	1	no	—
1835	C₂²	—	26	1	no	—
1836	C₂²	—	26	1	no	—
1837	C₂²	—	26	1	no	—
1838	C₂²	—	26	1	no	—
1839	C₂²	—	26	1	no	—
1840	C₂²	—	26	1	no	—
1841	C₂²	—	26	1	no	—
1842	C₂²	—	52	4	no	—
1843	C₂²	—	52	1	no	—
1844	C₂²	—	52	1	no	—
1845	C₂²	—	52	1	no	—
1846	C₂²	—	52	1	no	—
1847	C₂²	—	52	1	no	—
1848	C₂²	—	52	1	no	—
1849	C₂²	—	208	2	no	—
1850	C₂²	—	208	2	no	—
1851	C₂²	—	208	2	no	—
1852	C₂²	#11719479	1	2	yes	—
1853	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	13	2	no	—
1863	C₄	—	26	1	no	—
1864	C₄	—	26	1	no	—
1865	C₄	—	26	2	no	—
1866	C₄	—	26	1	no	—
1867	C₄	—	26	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	—	52	1	no	—
1870	C₄	—	52	1	no	—
1871	C₄	—	52	1	no	—
1872	C₄	—	52	1	no	—
1873	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1874	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1875	C₂	—	2	2	no	—
1876	C₂	—	4	1	no	—
1877	C₂	—	4	2	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	8	1	no	—
1880	C₂	—	8	1	no	—
1881	C₂	—	26	2	no	—
1882	C₂	—	52	1	no	—
1883	C₂	—	52	1	no	—
1884	C₂	—	104	1	no	—
1885	C₂	—	104	1	no	—
1886	C₂	D₁₃×#546	1	1	yes	characteristic
1887	C₂	C₂×#11719479	1	1	yes	characteristic
1888	C₂	#13129604	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3318	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3318	D₁₃
hypocenter	C₁₃	#61171
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3318

Complements

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

N	H ≅ G/N	type
1. #13128567	C₂	semidirect
2. #13128496	C₂	semidirect
3. #13126997	C₂	semidirect
4. #13126993	C₂	semidirect
5. #13126973	C₂	semidirect
6. #13126841	C₂	semidirect
7. #13126837	C₂	semidirect
8. #13126833	C₂	semidirect
9. #13126829	C₂	semidirect
10. #13126789	C₂	semidirect
11. #13126784	C₂	semidirect
12. #13126736	C₂	semidirect
13. #13126732	C₂	semidirect
14. #13126690	C₂	semidirect
15. #13126683	C₂	semidirect
16. #13126649	C₂	semidirect
17. #13126642	C₂	semidirect
18. #13125191	C₂	semidirect
19. #13124811	C₂	semidirect
20. #13124773	C₂	semidirect
21. #13124688	C₂	semidirect
22. #13124513	C₂	semidirect
23. D₁₃×#466	C₂	semidirect
24. #13124334	C₂	semidirect
25. #13124099	C₂	semidirect
26. #13124083	C₂	semidirect
27. #13123665	C₂	semidirect
28. #13123527	C₂	semidirect
29. #13123361	C₂	semidirect
30. C₂×#11718433	C₂	semidirect
31. C₁₃×#3318	C₂	semidirect
34. C₁₃×#553	C₂²	semidirect
35. D₄²×C₁₃	C₂²	semidirect
36. #11719511	C₂²	semidirect
39. D₄×C₂²⋊D₁₃	C₂²	semidirect
41. C₂×#88165	C₂²	semidirect
42. C₂×D₈×D₁₃	C₂²	semidirect
43. C₂×#88161	C₂²	semidirect
44. C₂²×C₈×D₁₃	C₂²	semidirect
45. #11719423	C₂²	semidirect
49. #11719400	C₂²	semidirect
50. #11719394	C₂²	semidirect
53. #11719323	C₂²	semidirect
54. #11719316	C₂²	semidirect
58. #11719312	C₂²	semidirect
60. D₁₃×#121	C₂²	semidirect
61. #11719304	C₂²	semidirect
62. #11719303	C₂²	semidirect
69. #11719268	C₂²	semidirect
70. #11719260	C₂²	semidirect
72. #11719259	C₂²	semidirect
73. #11719257	C₂²	semidirect
76. #11719250	C₂²	semidirect
78. #11719237	C₂²	semidirect
79. #11719228	C₂²	semidirect
80. #11719219	C₂²	semidirect
81. C₂×#88146	C₂²	semidirect
82. C₁₃×#490	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#481	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#447	C₂²	semidirect
90. C₁₃×#447	C₂²	semidirect
91. C₁₃×#442	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#418	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. #11718878	C₂²	semidirect
96. #11718878	C₂²	semidirect
97. C₂×#88072	C₂²	semidirect
98. C₂×#88072	C₂²	semidirect
99. #11718819	C₂²	semidirect
100. #11718819	C₂²	semidirect
101. #11718819	C₂²	semidirect
102. #11718818	C₂²	semidirect
103. #11718818	C₂²	semidirect
104. #11718817	C₂²	semidirect
105. #11718814	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718794	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. C₂×#88056	C₂²	semidirect
114. #11718733	C₂²	semidirect
115. #11718731	C₂²	semidirect
116. #11718729	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718702	C₂²	semidirect
119. #11718701	C₂²	semidirect
120. #11718699	C₂²	semidirect
121. #11718699	C₂²	semidirect
122. #11718699	C₂²	semidirect
123. #11718698	C₂²	semidirect
124. #11718694	C₂²	semidirect
125. #11718694	C₂²	semidirect
126. C₄×#6105	C₂²	semidirect
127. #11718677	C₂²	semidirect
128. C₄×#6104	C₂²	semidirect
129. D₄×#1055	C₂²	semidirect
130. #11718668	C₂²	semidirect
131. #11718663	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. C₂×#88050	C₂²	semidirect
134. #11718629	C₂²	semidirect
135. #11718545	C₂²	semidirect
136. #11718544	C₂²	semidirect
137. D₁₃×#107	C₂²	semidirect
138. #11718536	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718527	C₂²	semidirect
141. #11718527	C₂²	semidirect
142. #11718525	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718518	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718511	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718495	C₂²	semidirect
151. #11718448	C₂²	semidirect
152. #11718447	C₂²	semidirect
153. #11718446	C₂²	semidirect
154. #11718445	C₂²	semidirect
155. #11718445	C₂²	semidirect
156. #11718445	C₂²	semidirect
157. #11718443	C₂²	semidirect
158. #11718442	C₂²	semidirect
159. #11718442	C₂²	semidirect
160. #11718442	C₂²	semidirect
161. #11718441	C₂²	semidirect
162. #11718436	C₂²	semidirect
163. #11718436	C₂²	semidirect
164. #11718435	C₂²	semidirect
165. #11718434	C₂²	semidirect
168. #11718433	C₂²	semidirect
169. #11718433	C₂²	semidirect
170. #11718433	C₂²	semidirect
171. #11718433	C₂²	semidirect
172. #11718433	C₂²	semidirect
173. #11718433	C₂²	semidirect
174. #11718433	C₂²	semidirect
176. #11718432	C₂²	semidirect
177. #11718432	C₂²	semidirect
178. #11718431	C₂²	semidirect
179. #11718431	C₂²	semidirect
180. #11718431	C₂²	semidirect
181. D₁₃×#102	C₂²	semidirect
182. D₁₃×#102	C₂²	semidirect
183. D₁₃×#102	C₂²	semidirect
184. #11718429	C₂²	semidirect
185. #11718427	C₂²	semidirect
186. #11718426	C₂²	semidirect
187. #11718425	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718420	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718395	C₂²	semidirect
194. #11718388	C₂²	semidirect
195. #11718387	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718369	C₂²	semidirect
202. #11718367	C₂²	semidirect
569. #6129	#41	semidirect
730. #3318	D₁₃	semidirect
913. #553	C₂×D₁₃	semidirect
931. D₄²	C₂×D₁₃	semidirect
952. #490	C₂×D₁₃	semidirect
968. #482	C₂×D₁₃	semidirect
970. #481	C₂×D₁₃	semidirect
978. #478	C₂×D₁₃	semidirect
984. #469	C₂×D₁₃	semidirect
996. #466	C₂×D₁₃	semidirect
1006. #459	C₂×D₁₃	semidirect
1021. #447	C₂×D₁₃	semidirect
1022. #447	C₂×D₁₃	semidirect
1024. #442	C₂×D₁₃	semidirect
1034. #435	C₂×D₁₃	semidirect
1046. #418	C₂×D₁₃	semidirect
1068. C₂×#102	C₂×D₁₃	semidirect
1668. C₁₃	#61171	semidirect

Maximal subgroups

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

subgroup	index
#13128567	2
#13128496	2
#13126997	2
#13126993	2
#13126973	2
#13126841	2
#13126837	2
#13126833	2
#13126829	2
#13126789	2
#13126784	2
#13126736	2
#13126732	2
#13126690	2
#13126683	2
#13126649	2
#13126642	2
#13125191	2
#13124811	2
#13124773	2
#13124688	2
#13124513	2
D₁₃×#466	2
#13124334	2
#13124099	2
#13124083	2
#13123665	2
#13123527	2
#13123361	2
C₂×#11718433	2
C₁₃×#3318	2
#61171	13