Subgroups — #16748311

Order 3328.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128882	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127117	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127115	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126886	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126884	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126881	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126699	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126697	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126585	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126581	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126479	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126475	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126412	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126411	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126408	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126407	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125864	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125783	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125659	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125656	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125621	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125618	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124964	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124921	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124072	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718469	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123866	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#552	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
42	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88163	C₂²	1	1	yes	characteristic, complemented
45	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
46	#11719432	—	2	1	no	—
47	#11719432	C₂²	1	1	yes	characteristic
48	D₁₃×C₄⋊Q₈	—	2	1	no	—
49	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
50	#11719415	—	2	1	no	—
51	#11719410	—	2	1	no	—
52	#11719399	C₂²	1	1	yes	characteristic
53	#11719397	—	2	1	no	—
54	#11719396	C₂²	1	1	yes	characteristic
55	#11719395	—	2	1	no	—
56	#11719370	—	2	1	no	—
57	#11719359	—	2	1	no	—
58	#11719337	—	2	1	no	—
59	#11719337	—	2	1	no	—
60	#11719337	C₂²	1	1	yes	characteristic
61	#11719337	C₂²	1	1	yes	characteristic
62	#11719337	C₂²	1	1	yes	characteristic
63	#11719336	C₂²	1	1	yes	characteristic
64	#11719332	C₂²	1	1	yes	characteristic
65	D₁₃×C₂²⋊Q₈	—	2	1	no	—
66	D₁₃×C₂²⋊Q₈	—	2	1	no	—
67	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
69	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
70	#11719283	C₂²	1	1	yes	characteristic
71	#11719281	C₂²	1	1	yes	characteristic
72	Q₈×D₅₂	C₂²	1	1	yes	characteristic
73	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
74	#11719257	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₁₃	—	2	1	no	—
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	D₄×Dic₂₆	—	2	1	no	—
78	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
79	#11719238	C₂²	1	1	yes	characteristic
80	#11719232	—	2	1	no	—
81	#11719229	C₂²	1	1	yes	characteristic
82	#11719228	—	2	1	no	—
83	C₂×#88151	C₂²	1	1	yes	characteristic
84	#11719212	C₂²	1	1	yes	characteristic
85	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic
96	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
98	#11718889	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic
102	#11718847	C₂²	1	1	yes	characteristic
103	#11718847	C₂²	1	1	yes	characteristic
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718843	C₂²	1	1	yes	characteristic, complemented
106	#11718842	C₂²	1	1	yes	characteristic, complemented
107	#11718842	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718789	C₂²	1	1	yes	characteristic
110	#11718787	C₂²	1	1	yes	characteristic
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
113	C₂×#88060	C₂²	1	1	yes	characteristic
114	#11718751	C₂²	1	1	yes	characteristic, complemented
115	#11718747	C₂²	1	1	yes	characteristic, complemented
116	#11718730	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718712	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	#11718709	C₂²	1	1	yes	characteristic, complemented
125	#11718708	C₂²	1	1	yes	characteristic, complemented
126	#11718692	C₂²	1	1	yes	characteristic, complemented
127	#11718691	C₂²	1	1	yes	characteristic, complemented
128	#11718691	C₂²	1	1	yes	characteristic, complemented
129	#11718689	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	#11718632	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
135	#11718549	C₂²	1	1	yes	characteristic, complemented
136	#11718548	C₂²	1	1	yes	characteristic, complemented
137	#11718543	C₂²	1	1	yes	characteristic
138	#11718534	C₂²	1	1	yes	characteristic, complemented
139	#11718529	C₂²	1	1	yes	characteristic, complemented
140	#11718529	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic, complemented
142	#11718523	C₂²	1	1	yes	characteristic
143	#11718523	C₂²	1	1	yes	characteristic
144	#11718523	C₂²	1	1	yes	characteristic, complemented
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718510	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic
150	#11718494	C₂²	1	1	yes	characteristic
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718479	C₂²	1	1	yes	characteristic, complemented
153	#11718477	C₂²	1	1	yes	characteristic, complemented
154	#11718477	C₂²	1	1	yes	characteristic, complemented
155	#11718476	C₂²	1	1	yes	characteristic, complemented
156	#11718474	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic
159	#11718469	C₂²	1	1	yes	characteristic
160	#11718469	C₂²	1	1	yes	characteristic
161	#11718469	C₂²	1	1	yes	characteristic
162	#11718469	C₂²	1	1	yes	characteristic
163	#11718469	C₂²	1	1	yes	characteristic
164	#11718469	C₂²	1	1	yes	characteristic, complemented
165	#11718469	C₂²	1	1	yes	characteristic, complemented
166	#11718469	C₂²	1	1	yes	characteristic, complemented
167	#11718469	C₂²	1	1	yes	characteristic, complemented
168	#11718469	C₂²	1	1	yes	characteristic, complemented
169	#11718469	C₂²	1	1	yes	characteristic, complemented
170	#11718469	C₂²	1	1	yes	characteristic, complemented
171	#11718468	C₂²	1	1	yes	characteristic, complemented
172	#11718467	C₂²	1	1	yes	characteristic
173	#11718467	C₂²	1	1	yes	characteristic
174	#11718467	C₂²	1	1	yes	characteristic
175	#11718467	C₂²	1	1	yes	characteristic, complemented
176	#11718467	C₂²	1	1	yes	characteristic, complemented
177	#11718466	C₂²	1	1	yes	characteristic
178	#11718466	C₂²	1	1	yes	characteristic, complemented
179	#11718463	C₂²	1	1	yes	characteristic, complemented
180	#11718463	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
183	#11718454	C₂²	1	1	yes	characteristic, complemented
184	#11718454	C₂²	1	1	yes	characteristic, complemented
185	#11718454	C₂²	1	1	yes	characteristic, complemented
186	#11718453	C₂²	1	1	yes	characteristic, complemented
187	#11718453	C₂²	1	1	yes	characteristic, complemented
188	#11718452	C₂²	1	1	yes	characteristic, complemented
189	#11718451	C₂²	1	1	yes	characteristic, complemented
190	#11718449	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718400	C₂²	1	1	yes	characteristic, complemented
193	#11718399	C₂²	1	1	yes	characteristic, complemented
194	#11718394	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic
196	#11718387	C₂²	1	1	yes	characteristic
197	#11718386	C₂²	1	1	yes	characteristic
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#11718377	C₂²	1	1	yes	characteristic, complemented
200	#11718376	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic
202	#11718366	C₂²	1	1	yes	characteristic
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×#6131	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	—	2	1	no	—
207	C₂×Q₈×D₁₃	—	2	1	no	—
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	4	2	no	—
211	C₂×Q₈×D₁₃	—	4	2	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	—	4	2	no	—
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₁₃	—	2	1	no	—
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂²×Dic₂₆	—	2	1	no	—
230	C₂²×Dic₂₆	—	2	1	no	—
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₁₃×C₄⋊Q₈	—	2	1	no	—
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	—	2	1	no	—
243	C₁₃×#125	C₂³	1	1	yes	characteristic
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	—	2	1	no	—
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	#88200	—	2	1	no	—
259	#88200	—	2	1	no	—
260	#88200	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	#88198	—	2	1	no	—
265	#88198	—	2	1	no	—
266	#88198	C₂³	1	1	yes	characteristic
267	#88198	C₂³	1	1	yes	characteristic
268	#88198	C₂³	1	1	yes	characteristic
269	C₂×#6107	—	4	2	no	—
270	C₂×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6107	C₂³	1	1	yes	characteristic
275	C₂×#6107	C₂³	1	1	yes	characteristic
276	C₂×#6107	C₂³	1	1	yes	characteristic
277	C₂×#6107	C₂³	1	1	yes	characteristic
278	C₂×#6107	C₂³	1	1	yes	characteristic
279	#88196	—	4	2	no	—
280	C₂×#6106	C₂³	1	1	yes	characteristic
281	C₂×#6106	C₂³	1	1	yes	characteristic
282	C₂×#6106	C₂³	1	1	yes	characteristic
283	#88193	—	2	1	no	—
284	D₄×Dic₁₃	—	2	1	no	—
285	D₄×Dic₁₃	D₄	1	1	yes	characteristic
286	#88184	C₂³	1	1	yes	characteristic
287	#88183	—	2	1	no	—
288	C₄×C₂²⋊D₁₃	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
292	C₂×#6103	—	2	1	no	—
293	C₂×C₄⋊Dic₁₃	—	2	1	no	—
294	#88178	—	2	1	no	—
295	#88178	—	2	1	no	—
296	#88178	C₂³	1	1	yes	characteristic
297	#88178	C₂³	1	1	yes	characteristic
298	#88178	C₂³	1	1	yes	characteristic
299	C₂×#6099	C₂³	1	1	yes	characteristic
300	C₂²×#1055	C₂³	1	1	yes	characteristic
301	#88172	—	4	2	no	—
302	#88172	—	4	2	no	—
303	Q₁₆×D₁₃	—	4	2	no	—
304	Q₁₆×D₁₃	—	4	2	no	—
305	#88163	—	4	2	no	—
306	C₂×Dic₅₂	—	4	2	no	—
307	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
308	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
309	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
310	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
311	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
312	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
313	C₂×#6095	C₂³	1	1	yes	characteristic
314	C₂×#6095	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	#88152	—	2	1	no	—
321	#88152	—	2	1	no	—
322	#88151	—	2	1	no	—
323	#88151	—	2	1	no	—
324	#88151	—	2	1	no	—
325	#88151	—	2	1	no	—
326	#88151	—	2	1	no	—
327	#88151	C₂³	1	1	yes	characteristic
328	#88151	C₂³	1	1	yes	characteristic
329	#88151	C₂³	1	1	yes	characteristic
330	#88151	C₂³	1	1	yes	characteristic
331	#88151	C₂³	1	1	yes	characteristic
332	#88151	C₂³	1	1	yes	characteristic
333	#88151	C₂³	1	1	yes	characteristic
334	#88150	—	2	1	no	—
335	#88150	—	2	1	no	—
336	#88150	—	2	1	no	—
337	#88150	—	2	1	no	—
338	#88150	—	2	1	no	—
339	#88150	—	2	1	no	—
340	#88150	—	2	1	no	—
341	#88150	—	2	1	no	—
342	#88150	—	2	1	no	—
343	#88150	—	2	1	no	—
344	#88150	—	2	1	no	—
345	#88149	—	2	1	no	—
346	#88149	C₂³	1	1	yes	characteristic
347	#88149	C₂³	1	1	yes	characteristic
348	#88148	—	2	1	no	—
349	#88148	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88148	—	2	1	no	—
352	#88148	—	2	1	no	—
353	#88147	—	2	1	no	—
354	#88147	—	2	1	no	—
355	#88147	—	2	1	no	—
356	#88147	D₄	1	1	yes	characteristic
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	C₄⋊C₄×D₁₃	—	2	1	no	—
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	—	2	1	no	—
364	C₄⋊C₄×D₁₃	—	2	1	no	—
365	C₄⋊C₄×D₁₃	—	2	1	no	—
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	#88144	—	2	1	no	—
372	#88143	—	2	1	no	—
373	#88142	—	2	1	no	—
374	#88142	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	C₂³	1	1	yes	characteristic
381	#88141	—	2	1	no	—
382	#88141	C₂³	1	1	yes	characteristic
383	#88141	C₂³	1	1	yes	characteristic
384	#88140	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88136	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	D₄	1	1	yes	characteristic
397	#88135	D₄	1	1	yes	characteristic
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
402	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
403	#88133	—	2	1	no	—
404	#88132	—	2	1	no	—
405	#88132	—	2	1	no	—
406	#88132	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88132	—	2	1	no	—
409	#88132	—	2	1	no	—
410	#88132	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88130	—	2	1	no	—
413	#88129	—	2	1	no	—
414	#88129	C₂³	1	1	yes	characteristic
415	C₄×D₅₂	—	2	1	no	—
416	C₄×D₅₂	—	2	1	no	—
417	C₄×D₅₂	—	2	1	no	—
418	C₄×D₅₂	—	2	1	no	—
419	C₄×D₅₂	C₂³	1	1	yes	characteristic
420	#88126	—	2	1	no	—
421	C₄²×D₁₃	—	2	1	no	—
422	C₄²×D₁₃	C₂³	1	1	yes	characteristic
423	#88123	—	2	1	no	—
424	#88123	C₂³	1	1	yes	characteristic
425	C₄×Dic₂₆	—	2	1	no	—
426	C₄×Dic₂₆	—	2	1	no	—
427	C₄×Dic₂₆	—	2	1	no	—
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#106	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×#97	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88075	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88057	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88056	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	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	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#61602	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	2	no	—
496	C₂×Q₈×C₁₃	—	2	2	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	4	1	no	—
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂²×Dic₁₃	—	2	1	no	—
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
518	#6131	—	4	1	no	—
519	#6131	—	4	1	no	—
520	Q₈×D₁₃	—	2	2	no	—
521	Q₈×D₁₃	—	2	2	no	—
522	Q₈×D₁₃	—	2	2	no	—
523	Q₈×D₁₃	—	2	2	no	—
524	Q₈×D₁₃	—	2	2	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	Q₈×D₁₃	—	4	1	no	—
527	Q₈×D₁₃	—	4	1	no	—
528	Q₈×D₁₃	—	4	1	no	—
529	Q₈×D₁₃	—	4	1	no	—
530	Q₈×D₁₃	—	4	1	no	—
531	Q₈×D₁₃	—	4	1	no	—
532	Q₈×D₁₃	—	4	1	no	—
533	Q₈×D₁₃	—	4	1	no	—
534	Q₈×D₁₃	—	4	4	no	—
535	Q₈×D₁₃	—	4	4	no	—
536	Q₈×D₁₃	—	4	1	no	—
537	Q₈×D₁₃	—	4	1	no	—
538	Q₈×D₁₃	—	4	4	no	—
539	Q₈×D₁₃	—	4	4	no	—
540	D₄×D₁₃	—	2	4	no	—
541	#6127	—	4	1	no	—
542	#6127	—	4	1	no	—
543	#6127	—	4	4	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	4	1	no	—
563	C₂×C₄×D₁₃	—	4	1	no	—
564	C₂×C₄×D₁₃	—	4	1	no	—
565	C₂×C₄×D₁₃	—	4	1	no	—
566	C₂×C₄×D₁₃	—	4	4	no	—
567	C₂×C₄×D₁₃	—	4	4	no	—
568	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	2	no	—
579	C₂×Dic₂₆	—	2	2	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	—	2	1	no	—
584	C₂×Dic₂₆	—	2	1	no	—
585	C₂×Dic₂₆	—	2	1	no	—
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	—	4	1	no	—
592	C₂×Dic₂₆	—	4	1	no	—
593	C₂×Dic₂₆	—	4	1	no	—
594	C₂×Dic₂₆	—	4	1	no	—
595	C₂×Dic₂₆	—	4	4	no	—
596	C₂×Dic₂₆	—	4	4	no	—
597	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
602	C₁₃×Q₁₆	—	2	2	no	—
603	C₁₃×Q₁₆	—	4	1	no	—
604	C₁₃×Q₁₆	—	4	1	no	—
605	C₁₃×M₁₆	—	4	1	no	—
606	C₂×C₈×C₁₃	—	4	1	no	—
607	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₄²×C₁₃	—	2	1	no	—
635	C₄²×C₁₃	—	2	1	no	—
636	C₄²×C₁₃	—	2	1	no	—
637	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
643	#6107	—	2	2	no	—
644	#6107	—	2	2	no	—
645	#6107	—	2	2	no	—
646	#6107	—	4	1	no	—
647	#6107	—	4	1	no	—
648	#6107	—	4	1	no	—
649	#6107	—	4	1	no	—
650	#6107	—	4	1	no	—
651	#6107	—	4	1	no	—
652	#6106	—	2	2	no	—
653	#6106	—	4	1	no	—
654	#6106	—	4	1	no	—
655	#6103	—	2	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	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	—	2	1	no	—
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	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
688	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	C₂×D₄	1	1	yes	characteristic
709	#6101	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
719	#6099	—	4	1	no	—
720	C₂×#1055	—	4	1	no	—
721	C₂×#1055	C₂⁴	1	1	yes	characteristic
722	C₂×#1055	C₂⁴	1	1	yes	characteristic
723	C₂×#1055	C₂⁴	1	1	yes	characteristic
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	Dic₅₂	—	2	2	no	—
726	Dic₅₂	—	2	2	no	—
727	Dic₅₂	—	4	1	no	—
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	Dic₅₂	—	4	1	no	—
731	#6095	—	2	2	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6094	—	4	1	no	—
735	#6094	—	4	1	no	—
736	C₈×D₁₃	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	#3520	—	13	1	no	—
739	C₂×D₄×Q₈	—	13	1	no	—
740	#3328	—	13	1	no	—
741	#3328	—	13	1	no	—
742	#3312	—	13	1	no	—
743	#3312	—	13	1	no	—
744	#3312	—	13	1	no	—
745	#3312	D₁₃	1	1	yes	characteristic, complemented
746	#3298	—	13	1	no	—
747	#3298	—	13	1	no	—
748	D₄×Q₁₆	—	13	1	no	—
749	D₄×Q₁₆	—	13	1	no	—
750	#3276	—	13	1	no	—
751	#3276	—	13	1	no	—
752	#3270	—	13	1	no	—
753	#3270	—	13	1	no	—
754	#3270	—	13	1	no	—
755	#3270	—	13	1	no	—
756	#3218	—	13	1	no	—
757	#3209	—	13	1	no	—
758	#3195	—	13	1	no	—
759	#3195	—	13	1	no	—
760	#3190	—	13	1	no	—
761	#3190	—	13	1	no	—
762	#3113	—	13	1	no	—
763	#3108	—	13	1	no	—
764	#3004	—	13	1	no	—
765	#3004	—	13	1	no	—
766	C₂×#451	—	13	1	no	—
767	C₂×#451	—	13	1	no	—
768	#2974	—	13	1	no	—
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	—	2	2	no	—
772	C₂²×D₁₃	—	2	2	no	—
773	C₂²×D₁₃	—	2	2	no	—
774	C₂²×D₁₃	—	2	2	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	4	1	no	—
777	C₂²×D₁₃	—	4	1	no	—
778	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
781	Q₈×C₁₃	—	2	1	no	—
782	Q₈×C₁₃	—	2	1	no	—
783	Q₈×C₁₃	—	2	1	no	—
784	Q₈×C₁₃	—	2	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	4	2	no	—
789	Q₈×C₁₃	—	4	2	no	—
790	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
791	D₄×C₁₃	—	2	2	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	4	2	no	—
805	C₂×C₄×C₁₃	—	4	2	no	—
806	C₂×C₄×C₁₃	—	4	2	no	—
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
812	C₂²⋊D₁₃	—	2	2	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	8	1	no	—
815	C₂²⋊D₁₃	#137	1	4	yes	complemented
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	4	1	no	—
824	C₂×Dic₁₃	—	4	1	no	—
825	C₂×Dic₁₃	—	4	2	no	—
826	C₂×Dic₁₃	—	4	2	no	—
827	C₂×Dic₁₃	—	8	1	no	—
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
833	D₅₂	—	2	2	no	—
834	D₅₂	—	2	1	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	4	2	no	—
837	D₅₂	—	4	2	no	—
838	D₅₂	—	8	1	no	—
839	C₄×D₁₃	—	2	4	no	—
840	C₄×D₁₃	—	2	2	no	—
841	C₄×D₁₃	—	2	1	no	—
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	1	no	—
845	C₄×D₁₃	—	2	1	no	—
846	C₄×D₁₃	—	2	1	no	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	4	1	no	—
849	C₄×D₁₃	—	4	1	no	—
850	C₄×D₁₃	—	4	1	no	—
851	C₄×D₁₃	—	4	1	no	—
852	C₄×D₁₃	—	4	2	no	—
853	C₄×D₁₃	—	4	2	no	—
854	C₄×D₁₃	—	4	2	no	—
855	C₄×D₁₃	—	4	2	no	—
856	C₄×D₁₃	—	4	2	no	—
857	C₄×D₁₃	—	4	2	no	—
858	C₄×D₁₃	—	4	2	no	—
859	C₄×D₁₃	—	4	2	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	8	1	no	—
862	C₄×D₁₃	—	8	1	no	—
863	C₄×D₁₃	—	8	1	no	—
864	Dic₂₆	—	2	4	no	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	2	1	no	—
867	Dic₂₆	—	2	1	no	—
868	Dic₂₆	—	2	1	no	—
869	Dic₂₆	—	2	1	no	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	2	1	no	—
872	Dic₂₆	—	2	1	no	—
873	Dic₂₆	—	2	1	no	—
874	Dic₂₆	—	4	2	no	—
875	Dic₂₆	—	4	2	no	—
876	Dic₂₆	—	4	2	no	—
877	Dic₂₆	—	4	2	no	—
878	Dic₂₆	—	4	2	no	—
879	Dic₂₆	—	4	2	no	—
880	Dic₂₆	—	4	2	no	—
881	Dic₂₆	—	4	2	no	—
882	Dic₂₆	—	4	2	no	—
883	Dic₂₆	—	8	1	no	—
884	Dic₂₆	—	8	1	no	—
885	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
886	C₈×C₁₃	—	2	1	no	—
887	C₈×C₁₃	—	2	1	no	—
888	C₈×C₁₃	—	2	1	no	—
889	C₈×C₁₃	—	2	1	no	—
890	#1055	—	2	1	no	—
891	#1055	—	2	1	no	—
892	#1055	—	2	1	no	—
893	#1055	—	2	1	no	—
894	C₂³×Q₈	—	13	1	no	—
895	C₂³×Q₈	—	13	1	no	—
896	C₂×#137	—	13	1	no	—
897	C₂×#137	—	13	1	no	—
898	C₂×#137	—	13	1	no	—
899	C₂×#137	—	13	1	no	—
900	C₂²×Q₁₆	—	13	1	no	—
901	C₂²×Q₁₆	—	13	1	no	—
902	C₂²×Q₁₆	—	13	1	no	—
903	C₂²×Q₁₆	—	13	1	no	—
904	#556	—	13	1	no	—
905	#554	—	26	1	no	—
906	#552	—	13	1	no	—
907	#552	C₂×D₁₃	1	1	yes	characteristic
908	#551	—	26	1	no	—
909	#551	—	26	1	no	—
910	D₄×Q₈	—	13	1	no	—
911	D₄×Q₈	—	13	1	no	—
912	D₄×Q₈	—	13	1	no	—
913	D₄×Q₈	—	13	1	no	—
914	D₄×Q₈	—	13	1	no	—
915	D₄×Q₈	—	13	1	no	—
916	D₄×Q₈	—	13	1	no	—
917	D₄×Q₈	—	13	1	no	—
918	D₄×Q₈	—	26	1	no	—
919	D₄×Q₈	—	26	1	no	—
920	D₄×Q₈	—	26	1	no	—
921	D₄×Q₈	—	26	1	no	—
922	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
923	#548	—	13	1	no	—
924	#548	—	13	1	no	—
925	#547	—	13	1	no	—
926	#547	—	13	1	no	—
927	#546	—	26	1	no	—
928	#542	—	26	1	no	—
929	#539	—	26	1	no	—
930	#539	—	26	1	no	—
931	#533	—	13	1	no	—
932	C₂×C₄⋊Q₈	—	13	1	no	—
933	C₂×C₄⋊Q₈	—	26	1	no	—
934	#529	—	13	1	no	—
935	#525	—	13	1	no	—
936	#525	—	13	1	no	—
937	C₂×C₂²⋊Q₈	—	13	1	no	—
938	C₂×C₂²⋊Q₈	—	13	1	no	—
939	C₂×C₂²⋊Q₈	—	13	1	no	—
940	C₂×C₂²⋊Q₈	—	13	1	no	—
941	C₂×C₂²⋊Q₈	—	26	1	no	—
942	C₂×C₂²⋊Q₈	—	26	1	no	—
943	#520	—	26	1	no	—
944	C₂×C₄×Q₈	—	13	1	no	—
945	C₂×C₄×D₄	—	13	1	no	—
946	C₂×C₄×D₄	—	26	1	no	—
947	#497	—	13	1	no	—
948	#497	—	13	1	no	—
949	#494	—	13	1	no	—
950	#494	—	13	1	no	—
951	#491	—	13	1	no	—
952	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#487	—	13	1	no	—
954	#487	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	—	13	1	no	—
957	#485	—	13	1	no	—
958	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#483	—	13	1	no	—
960	#483	—	13	1	no	—
961	#483	—	13	1	no	—
962	#483	—	13	1	no	—
963	#483	—	13	1	no	—
964	#483	—	13	1	no	—
965	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#480	—	13	1	no	—
967	#479	—	13	1	no	—
968	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#475	—	13	1	no	—
970	#475	—	13	1	no	—
971	#470	—	13	1	no	—
972	#470	—	13	1	no	—
973	#470	—	13	1	no	—
974	#470	—	13	1	no	—
975	#470	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#467	—	13	1	no	—
980	#467	—	13	1	no	—
981	#467	—	13	1	no	—
982	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#465	—	13	1	no	—
984	#465	—	13	1	no	—
985	#465	—	13	1	no	—
986	#465	—	13	1	no	—
987	#464	—	13	1	no	—
988	#464	—	13	1	no	—
989	#462	—	13	1	no	—
990	#462	—	13	1	no	—
991	#462	—	13	1	no	—
992	#462	—	13	1	no	—
993	#462	—	13	1	no	—
994	#462	—	13	1	no	—
995	#462	—	13	1	no	—
996	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#461	—	13	1	no	—
998	#461	—	13	1	no	—
999	#452	—	13	1	no	—
1000	#452	—	13	1	no	—
1001	#452	—	13	1	no	—
1002	#452	—	13	1	no	—
1003	#451	—	13	1	no	—
1004	#451	—	13	1	no	—
1005	#451	—	13	1	no	—
1006	#451	—	13	1	no	—
1007	#451	—	13	1	no	—
1008	#451	—	13	1	no	—
1009	#451	—	13	1	no	—
1010	#451	—	13	1	no	—
1011	#451	—	13	1	no	—
1012	#451	—	13	1	no	—
1013	#451	—	13	1	no	—
1014	#451	—	13	1	no	—
1015	#451	—	13	1	no	—
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#448	—	13	1	no	—
1029	#448	—	13	1	no	—
1030	#448	—	13	1	no	—
1031	#448	—	13	1	no	—
1032	#448	—	13	1	no	—
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#441	—	13	1	no	—
1036	#441	—	13	1	no	—
1037	#441	—	13	1	no	—
1038	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	C₄×Q₁₆	—	13	1	no	—
1040	C₄×Q₁₆	—	13	1	no	—
1041	C₄×SD₁₆	—	13	1	no	—
1042	C₄×SD₁₆	—	13	1	no	—
1043	#436	—	13	1	no	—
1044	#436	—	13	1	no	—
1045	#435	—	13	1	no	—
1046	#435	—	13	1	no	—
1047	#435	—	13	1	no	—
1048	#435	C₂×D₁₃	1	1	yes	characteristic
1049	C₈×D₄	—	13	1	no	—
1050	C₈×D₄	—	13	1	no	—
1051	#432	—	13	1	no	—
1052	#431	—	13	1	no	—
1053	#419	—	13	1	no	—
1054	#419	—	13	1	no	—
1055	#419	—	13	1	no	—
1056	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	C₂×#103	—	13	1	no	—
1058	C₂×#103	—	13	1	no	—
1059	C₂×#103	—	13	1	no	—
1060	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1061	#407	—	13	1	no	—
1062	#407	—	13	1	no	—
1063	C₂×C₂²⋊C₈	—	13	1	no	—
1064	C₂×C₂²⋊C₈	—	13	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	C₂×#137	1	2	yes	—
1071	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1072	C₂×D₁₃	—	2	1	no	—
1073	C₂×D₁₃	—	2	1	no	—
1074	C₂×D₁₃	—	2	1	no	—
1075	C₂×D₁₃	—	2	1	no	—
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	4	4	no	—
1080	C₂×D₁₃	—	4	4	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	C₂×#137	1	2	yes	—
1085	C₂×D₁₃	#578	1	2	yes	—
1086	C₄×C₁₃	—	2	2	no	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	2	1	no	—
1091	C₄×C₁₃	—	4	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	—	4	1	no	—
1097	C₄×C₁₃	—	4	1	no	—
1098	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1099	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1100	Dic₁₃	—	2	1	no	—
1101	Dic₁₃	—	2	2	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	2	1	no	—
1104	Dic₁₃	—	2	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	—	4	1	no	—
1108	Dic₁₃	—	4	1	no	—
1109	Dic₁₃	—	4	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	C₂×#137	1	2	yes	—
1112	C₂×#41	—	13	1	no	—
1113	C₂×#41	—	13	1	no	—
1114	C₂×#41	—	26	1	no	—
1115	C₂²×Q₈	—	13	1	no	—
1116	C₂²×Q₈	—	13	1	no	—
1117	C₂²×Q₈	—	13	1	no	—
1118	C₂²×Q₈	—	13	1	no	—
1119	C₂²×Q₈	—	13	1	no	—
1120	C₂²×Q₈	—	13	1	no	—
1121	C₂²×Q₈	—	13	1	no	—
1122	C₂²×Q₈	—	13	1	no	—
1123	C₂²×Q₈	—	13	1	no	—
1124	C₂²×Q₈	—	13	1	no	—
1125	C₂²×Q₈	—	13	1	no	—
1126	C₂²×Q₈	—	26	1	no	—
1127	C₂²×Q₈	—	26	1	no	—
1128	C₂²×Q₈	—	26	1	no	—
1129	C₂²×Q₈	—	26	1	no	—
1130	C₂²×Q₈	—	26	1	no	—
1131	C₂²×Q₈	—	26	1	no	—
1132	C₂²×Q₈	—	52	2	no	—
1133	C₂²×Q₈	—	52	2	no	—
1134	C₂²×Q₈	—	52	2	no	—
1135	C₂²×Q₈	—	52	2	no	—
1136	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂²×D₄	—	13	1	no	—
1139	C₂³×C₄	—	13	1	no	—
1140	C₂³×C₄	—	13	1	no	—
1141	C₂³×C₄	—	26	1	no	—
1142	C₂³×C₄	—	26	1	no	—
1143	#137	—	52	2	no	—
1144	#137	—	52	2	no	—
1145	#137	—	52	2	no	—
1146	#137	—	52	2	no	—
1147	C₂×Q₁₆	—	13	1	no	—
1148	C₂×Q₁₆	—	13	1	no	—
1149	C₂×Q₁₆	—	13	1	no	—
1150	C₂×Q₁₆	—	13	1	no	—
1151	C₂×Q₁₆	—	13	1	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	13	1	no	—
1156	C₂×Q₁₆	—	13	1	no	—
1157	C₂×Q₁₆	—	13	1	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	52	2	no	—
1163	C₂×Q₁₆	—	52	2	no	—
1164	C₂×Q₁₆	—	52	2	no	—
1165	C₂×Q₁₆	—	52	2	no	—
1166	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
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×M₁₆	—	13	1	no	—
1176	C₂×M₁₆	—	13	1	no	—
1177	C₂×M₁₆	—	13	1	no	—
1178	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂²×C₈	—	13	1	no	—
1180	C₂²×C₈	—	13	1	no	—
1181	C₂²×C₈	—	13	1	no	—
1182	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1183	C₄⋊Q₈	—	2	1	no	—
1184	C₄⋊Q₈	—	13	1	no	—
1185	C₄⋊Q₈	—	13	1	no	—
1186	C₄⋊Q₈	—	13	1	no	—
1187	C₄⋊Q₈	—	13	1	no	—
1188	C₄⋊Q₈	—	13	1	no	—
1189	C₄⋊Q₈	—	26	1	no	—
1190	C₄⋊Q₈	—	26	1	no	—
1191	C₄⋊Q₈	—	26	1	no	—
1192	C₄⋊Q₈	—	26	1	no	—
1193	C₄⋊Q₈	—	26	1	no	—
1194	C₄⋊Q₈	—	26	1	no	—
1195	C₄⋊Q₈	—	26	1	no	—
1196	C₄⋊Q₈	—	26	1	no	—
1197	C₄⋊Q₈	—	26	1	no	—
1198	C₄⋊Q₈	—	26	1	no	—
1199	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1200	#126	—	2	1	no	—
1201	#126	—	26	1	no	—
1202	#126	—	26	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#125	—	2	1	no	—
1206	#125	—	26	1	no	—
1207	#125	—	26	1	no	—
1208	#125	C₂²×D₁₃	1	1	yes	characteristic
1209	#124	—	13	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#123	—	2	1	no	—
1214	#123	—	26	1	no	—
1215	#123	—	26	1	no	—
1216	#123	—	26	1	no	—
1217	#123	—	26	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	C₂²⋊Q₈	—	2	1	no	—
1223	C₂²⋊Q₈	—	2	1	no	—
1224	C₂²⋊Q₈	—	13	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	—	13	1	no	—
1227	C₂²⋊Q₈	—	13	1	no	—
1228	C₂²⋊Q₈	—	13	1	no	—
1229	C₂²⋊Q₈	—	13	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	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	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	C₂²⋊Q₈	—	26	1	no	—
1242	C₂²⋊Q₈	—	26	1	no	—
1243	C₂²⋊Q₈	—	26	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	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	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1269	#121	—	13	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	26	1	no	—
1273	#121	—	26	1	no	—
1274	#121	—	26	1	no	—
1275	#120	—	26	1	no	—
1276	#120	—	26	1	no	—
1277	C₄×Q₈	—	13	1	no	—
1278	C₄×Q₈	—	13	1	no	—
1279	C₄×Q₈	—	13	1	no	—
1280	C₄×Q₈	—	13	1	no	—
1281	C₄×Q₈	—	13	1	no	—
1282	C₄×Q₈	—	26	1	no	—
1283	C₄×Q₈	—	26	1	no	—
1284	C₄×Q₈	—	26	1	no	—
1285	C₄×Q₈	—	26	1	no	—
1286	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1287	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1288	C₄×D₄	—	2	1	no	—
1289	C₄×D₄	—	13	1	no	—
1290	C₄×D₄	—	13	1	no	—
1291	C₄×D₄	—	13	1	no	—
1292	C₄×D₄	—	13	1	no	—
1293	C₄×D₄	—	13	1	no	—
1294	C₄×D₄	—	13	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	26	1	no	—
1298	C₄×D₄	—	26	1	no	—
1299	C₄×D₄	—	26	1	no	—
1300	C₄×D₄	—	26	1	no	—
1301	C₄×D₄	—	26	1	no	—
1302	C₄×D₄	—	26	1	no	—
1303	C₄×D₄	—	26	1	no	—
1304	C₄×D₄	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1313	#117	—	2	1	no	—
1314	#117	—	13	1	no	—
1315	#117	—	26	1	no	—
1316	#117	—	26	1	no	—
1317	#117	—	26	1	no	—
1318	#117	C₂²×D₁₃	1	1	yes	characteristic
1319	C₂×C₄⋊C₄	—	13	1	no	—
1320	C₂×C₄⋊C₄	—	13	1	no	—
1321	C₂×C₄⋊C₄	—	13	1	no	—
1322	C₂×C₄⋊C₄	—	26	1	no	—
1323	C₂×C₄⋊C₄	—	26	1	no	—
1324	C₂×C₄⋊C₄	—	26	1	no	—
1325	C₂×C₄⋊C₄	—	26	1	no	—
1326	C₂×C₄⋊C₄	—	26	1	no	—
1327	C₂×C₄⋊C₄	—	26	1	no	—
1328	C₂×C₄⋊C₄	—	26	1	no	—
1329	C₂×C₄⋊C₄	—	26	1	no	—
1330	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1331	C₂×C₂²⋊C₄	—	13	1	no	—
1332	C₂×C₂²⋊C₄	—	13	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₂²⋊C₄	—	26	1	no	—
1335	C₂×C₂²⋊C₄	—	26	1	no	—
1336	C₂×C₂²⋊C₄	—	26	1	no	—
1337	C₂×C₄²	—	13	1	no	—
1338	C₂×C₄²	—	26	1	no	—
1339	#107	—	13	1	no	—
1340	#107	C₂²×D₁₃	1	1	yes	characteristic
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	#106	—	13	1	no	—
1344	#106	—	13	1	no	—
1345	#106	C₂²×D₁₃	1	1	yes	characteristic
1346	#106	C₂²×D₁₃	1	1	yes	characteristic
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	—	13	1	no	—
1349	C₄⋊C₈	—	13	1	no	—
1350	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	C₂²×D₁₃	1	1	yes	characteristic
1372	#103	C₂²×D₁₃	1	1	yes	characteristic
1373	#103	C₂²×D₁₃	1	1	yes	characteristic
1374	#103	C₂²×D₁₃	1	1	yes	characteristic
1375	#103	C₂²×D₁₃	1	1	yes	characteristic
1376	#103	C₂²×D₁₃	1	1	yes	characteristic
1377	#103	C₂²×D₁₃	1	1	yes	characteristic
1378	#103	C₂²×D₁₃	1	1	yes	characteristic
1379	#103	C₂²×D₁₃	1	1	yes	characteristic
1380	#103	C₂²×D₁₃	1	1	yes	characteristic
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	C₂²⋊C₈	—	13	1	no	—
1384	C₂²⋊C₈	—	13	1	no	—
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1395	#97	—	13	1	no	—
1396	#97	C₂²×D₁₃	1	1	yes	characteristic
1397	C₄×C₈	—	13	1	no	—
1398	C₄×C₈	—	13	1	no	—
1399	C₂×C₁₃	—	2	2	no	—
1400	C₂×C₁₃	—	4	1	no	—
1401	C₂×C₁₃	#3484	1	1	yes	characteristic
1402	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1403	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1404	D₁₃	—	2	2	no	—
1405	D₁₃	—	2	2	no	—
1406	D₁₃	—	4	1	no	—
1407	D₁₃	—	8	1	no	—
1408	C₂⁴	—	13	1	no	—
1409	C₂⁴	—	13	1	no	—
1410	#41	—	52	1	no	—
1411	#41	—	52	1	no	—
1412	#41	—	52	4	no	—
1413	#41	—	52	1	no	—
1414	#41	—	52	1	no	—
1415	C₂×Q₈	—	2	1	no	—
1416	C₂×Q₈	—	2	1	no	—
1417	C₂×Q₈	—	2	2	no	—
1418	C₂×Q₈	—	2	2	no	—
1419	C₂×Q₈	—	4	1	no	—
1420	C₂×Q₈	—	4	1	no	—
1421	C₂×Q₈	—	13	1	no	—
1422	C₂×Q₈	—	13	1	no	—
1423	C₂×Q₈	—	13	1	no	—
1424	C₂×Q₈	—	13	1	no	—
1425	C₂×Q₈	—	13	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	—	26	1	no	—
1428	C₂×Q₈	—	26	1	no	—
1429	C₂×Q₈	—	26	1	no	—
1430	C₂×Q₈	—	26	1	no	—
1431	C₂×Q₈	—	26	1	no	—
1432	C₂×Q₈	—	26	1	no	—
1433	C₂×Q₈	—	26	1	no	—
1434	C₂×Q₈	—	26	1	no	—
1435	C₂×Q₈	—	26	2	no	—
1436	C₂×Q₈	—	26	2	no	—
1437	C₂×Q₈	—	26	2	no	—
1438	C₂×Q₈	—	26	2	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	1	no	—
1441	C₂×Q₈	—	26	1	no	—
1442	C₂×Q₈	—	26	2	no	—
1443	C₂×Q₈	—	26	2	no	—
1444	C₂×Q₈	—	26	2	no	—
1445	C₂×Q₈	—	26	2	no	—
1446	C₂×Q₈	—	52	1	no	—
1447	C₂×Q₈	—	52	1	no	—
1448	C₂×Q₈	—	52	1	no	—
1449	C₂×Q₈	—	52	1	no	—
1450	C₂×Q₈	—	52	4	no	—
1451	C₂×Q₈	—	52	4	no	—
1452	C₂×Q₈	—	52	1	no	—
1453	C₂×Q₈	—	52	1	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	1	no	—
1456	C₂×Q₈	—	52	1	no	—
1457	C₂×Q₈	—	52	1	no	—
1458	C₂×Q₈	—	52	1	no	—
1459	C₂×Q₈	—	52	1	no	—
1460	C₂×Q₈	—	52	4	no	—
1461	C₂×Q₈	—	52	4	no	—
1462	C₂×Q₈	—	52	1	no	—
1463	C₂×Q₈	—	52	1	no	—
1464	C₂×Q₈	—	52	4	no	—
1465	C₂×Q₈	—	52	4	no	—
1466	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1468	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1469	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1470	C₂×D₄	—	13	1	no	—
1471	C₂×D₄	—	13	1	no	—
1472	C₂×D₄	—	13	1	no	—
1473	C₂×D₄	—	13	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	1	no	—
1477	C₂×D₄	—	26	4	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	13	1	no	—
1485	C₂²×C₄	—	13	1	no	—
1486	C₂²×C₄	—	13	1	no	—
1487	C₂²×C₄	—	13	1	no	—
1488	C₂²×C₄	—	13	1	no	—
1489	C₂²×C₄	—	13	1	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	13	1	no	—
1494	C₂²×C₄	—	13	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	52	1	no	—
1512	C₂²×C₄	—	52	1	no	—
1513	C₂²×C₄	—	52	1	no	—
1514	C₂²×C₄	—	52	1	no	—
1515	C₂²×C₄	—	52	4	no	—
1516	C₂²×C₄	—	52	4	no	—
1517	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1518	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1519	Q₁₆	—	2	2	no	—
1520	Q₁₆	—	4	1	no	—
1521	Q₁₆	—	4	1	no	—
1522	Q₁₆	—	26	2	no	—
1523	Q₁₆	—	26	2	no	—
1524	Q₁₆	—	26	2	no	—
1525	Q₁₆	—	26	2	no	—
1526	Q₁₆	—	26	2	no	—
1527	Q₁₆	—	52	1	no	—
1528	Q₁₆	—	52	1	no	—
1529	Q₁₆	—	52	1	no	—
1530	Q₁₆	—	52	1	no	—
1531	Q₁₆	—	52	1	no	—
1532	Q₁₆	—	52	1	no	—
1533	Q₁₆	—	52	1	no	—
1534	Q₁₆	—	52	1	no	—
1535	Q₁₆	—	52	1	no	—
1536	Q₁₆	—	52	1	no	—
1537	SD₁₆	—	26	2	no	—
1538	SD₁₆	—	26	2	no	—
1539	SD₁₆	—	52	1	no	—
1540	SD₁₆	—	52	1	no	—
1541	SD₁₆	—	52	1	no	—
1542	SD₁₆	—	52	1	no	—
1543	M₁₆	—	4	1	no	—
1544	M₁₆	—	52	1	no	—
1545	M₁₆	—	52	1	no	—
1546	M₁₆	—	52	1	no	—
1547	C₂×C₈	—	4	1	no	—
1548	C₂×C₈	—	13	1	no	—
1549	C₂×C₈	—	13	1	no	—
1550	C₂×C₈	—	13	1	no	—
1551	C₂×C₈	—	13	1	no	—
1552	C₂×C₈	—	52	1	no	—
1553	C₂×C₈	—	52	1	no	—
1554	C₂×C₈	—	52	1	no	—
1555	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1556	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1557	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	13	1	no	—
1574	C₄⋊C₄	—	13	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	13	1	no	—
1615	C₂²⋊C₄	—	13	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	13	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1641	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1642	C₄²	—	2	1	no	—
1643	C₄²	—	2	1	no	—
1644	C₄²	—	2	1	no	—
1645	C₄²	—	13	1	no	—
1646	C₄²	—	13	1	no	—
1647	C₄²	—	13	1	no	—
1648	C₄²	—	26	1	no	—
1649	C₄²	—	26	1	no	—
1650	C₄²	—	26	1	no	—
1651	C₄²	—	26	1	no	—
1652	C₄²	—	26	1	no	—
1653	C₄²	—	26	1	no	—
1654	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1655	C₁₃	#61602	1	1	yes	characteristic, complemented, Sylow
1656	C₂³	—	13	1	no	—
1657	C₂³	—	13	1	no	—
1658	C₂³	—	13	1	no	—
1659	C₂³	—	26	2	no	—
1660	C₂³	—	26	2	no	—
1661	C₂³	—	26	2	no	—
1662	C₂³	—	26	2	no	—
1663	C₂³	—	26	1	no	—
1664	C₂³	—	52	1	no	—
1665	C₂³	—	52	1	no	—
1666	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1667	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	4	2	no	—
1676	Q₈	—	4	2	no	—
1677	Q₈	—	13	2	no	—
1678	Q₈	—	26	4	no	—
1679	Q₈	—	26	1	no	—
1680	Q₈	—	26	1	no	—
1681	Q₈	—	26	1	no	—
1682	Q₈	—	26	1	no	—
1683	Q₈	—	26	1	no	—
1684	Q₈	—	26	1	no	—
1685	Q₈	—	26	1	no	—
1686	Q₈	—	26	1	no	—
1687	Q₈	—	26	1	no	—
1688	Q₈	—	52	2	no	—
1689	Q₈	—	52	2	no	—
1690	Q₈	—	52	2	no	—
1691	Q₈	—	52	2	no	—
1692	Q₈	—	52	2	no	—
1693	Q₈	—	52	2	no	—
1694	Q₈	—	52	2	no	—
1695	Q₈	—	52	2	no	—
1696	Q₈	—	52	2	no	—
1697	Q₈	—	104	1	no	—
1698	Q₈	—	104	1	no	—
1699	Q₈	#88256	1	2	yes	—
1700	D₄	—	2	2	no	—
1701	D₄	—	13	4	no	—
1702	D₄	—	26	2	no	—
1703	D₄	—	26	2	no	—
1704	D₄	—	26	1	no	—
1705	D₄	—	26	1	no	—
1706	D₄	—	52	2	no	—
1707	D₄	—	52	2	no	—
1708	D₄	—	52	2	no	—
1709	D₄	—	104	1	no	—
1710	D₄	—	104	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	4	2	no	—
1724	C₂×C₄	—	4	2	no	—
1725	C₂×C₄	—	4	2	no	—
1726	C₂×C₄	—	13	1	no	—
1727	C₂×C₄	—	13	1	no	—
1728	C₂×C₄	—	13	1	no	—
1729	C₂×C₄	—	13	1	no	—
1730	C₂×C₄	—	13	1	no	—
1731	C₂×C₄	—	26	2	no	—
1732	C₂×C₄	—	26	2	no	—
1733	C₂×C₄	—	26	4	no	—
1734	C₂×C₄	—	26	1	no	—
1735	C₂×C₄	—	26	1	no	—
1736	C₂×C₄	—	26	1	no	—
1737	C₂×C₄	—	26	1	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	52	1	no	—
1748	C₂×C₄	—	52	1	no	—
1749	C₂×C₄	—	52	1	no	—
1750	C₂×C₄	—	52	1	no	—
1751	C₂×C₄	—	52	2	no	—
1752	C₂×C₄	—	52	2	no	—
1753	C₂×C₄	—	52	2	no	—
1754	C₂×C₄	—	52	2	no	—
1755	C₂×C₄	—	52	2	no	—
1756	C₂×C₄	—	52	2	no	—
1757	C₂×C₄	—	52	2	no	—
1758	C₂×C₄	—	52	2	no	—
1759	C₂×C₄	—	52	2	no	—
1760	C₂×C₄	—	52	1	no	—
1761	C₂×C₄	—	52	1	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	104	1	no	—
1765	C₂×C₄	—	104	1	no	—
1766	C₂×C₄	—	104	1	no	—
1767	C₂×C₄	—	104	1	no	—
1768	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1769	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1770	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1771	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1772	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₈	—	2	1	no	—
1776	C₈	—	2	1	no	—
1777	C₈	—	26	1	no	—
1778	C₈	—	26	1	no	—
1779	C₈	—	26	1	no	—
1780	C₈	—	26	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	13	2	no	—
1787	C₂²	—	13	2	no	—
1788	C₂²	—	26	1	no	—
1789	C₂²	—	26	1	no	—
1790	C₂²	—	26	1	no	—
1791	C₂²	—	26	1	no	—
1792	C₂²	—	26	1	no	—
1793	C₂²	—	26	1	no	—
1794	C₂²	—	26	1	no	—
1795	C₂²	—	52	4	no	—
1796	C₂²	—	52	4	no	—
1797	C₂²	—	52	1	no	—
1798	C₂²	—	52	1	no	—
1799	C₂²	—	52	1	no	—
1800	C₂²	D₁₃×#137	1	2	yes	—
1801	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	2	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	13	2	no	—
1815	C₄	—	26	1	no	—
1816	C₄	—	26	1	no	—
1817	C₄	—	26	1	no	—
1818	C₄	—	26	2	no	—
1819	C₄	—	26	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	—	52	1	no	—
1822	C₄	—	52	1	no	—
1823	C₄	—	52	1	no	—
1824	C₄	—	52	1	no	—
1825	C₄	—	52	1	no	—
1826	C₄	C₂×#88256	1	1	yes	characteristic
1827	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	26	2	no	—
1831	C₂	—	26	2	no	—
1832	C₂	—	52	1	no	—
1833	C₂	—	104	1	no	—
1834	C₂	#13128466	1	1	yes	characteristic
1835	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1836	C₂	D₁₃×#578	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×#3312	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128882	C₂
hypercenter	#3312	D₁₃
hypocenter	C₁₃	#61602
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3312

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₁₃	C₂	semidirect
3. #13127117	C₂	semidirect
4. #13127115	C₂	semidirect
5. #13126886	C₂	semidirect
6. #13126884	C₂	semidirect
7. #13126881	C₂	semidirect
8. #13126699	C₂	semidirect
9. #13126697	C₂	semidirect
10. #13126585	C₂	semidirect
11. #13126581	C₂	semidirect
12. #13126479	C₂	semidirect
13. #13126475	C₂	semidirect
14. #13126412	C₂	semidirect
15. #13126411	C₂	semidirect
16. #13126408	C₂	semidirect
17. #13126407	C₂	semidirect
18. #13125864	C₂	semidirect
19. #13125783	C₂	semidirect
20. #13125659	C₂	semidirect
21. #13125656	C₂	semidirect
22. #13125621	C₂	semidirect
23. #13125618	C₂	semidirect
24. #13124964	C₂	semidirect
25. #13124921	C₂	semidirect
26. #13124072	C₂	semidirect
27. #13124071	C₂	semidirect
28. C₂×#11718469	C₂	semidirect
29. D₁₃×#451	C₂	semidirect
30. #13123866	C₂	semidirect
31. C₁₃×#3312	C₂	semidirect
38. C₂²×#6107	C₂²	semidirect
39. C₂×#88196	C₂²	semidirect
40. C₂×#88172	C₂²	semidirect
41. C₂×#88172	C₂²	semidirect
42. C₂×Q₁₆×D₁₃	C₂²	semidirect
43. C₂×Q₁₆×D₁₃	C₂²	semidirect
44. C₂×#88163	C₂²	semidirect
45. C₂²×Dic₅₂	C₂²	semidirect
85. C₁₃×#491	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#483	C₂²	semidirect
88. C₁₃×#479	C₂²	semidirect
89. C₁₃×#470	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
94. C₁₃×#441	C₂²	semidirect
96. C₁₃×#419	C₂²	semidirect
97. C₂×C₁₃×#103	C₂²	semidirect
98. #11718889	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718843	C₂²	semidirect
106. #11718842	C₂²	semidirect
107. #11718842	C₂²	semidirect
108. #11718798	C₂²	semidirect
111. #11718775	C₂²	semidirect
114. #11718751	C₂²	semidirect
115. #11718747	C₂²	semidirect
116. #11718730	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718712	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718711	C₂²	semidirect
123. #11718711	C₂²	semidirect
124. #11718709	C₂²	semidirect
125. #11718708	C₂²	semidirect
126. #11718692	C₂²	semidirect
127. #11718691	C₂²	semidirect
128. #11718691	C₂²	semidirect
129. #11718689	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718632	C₂²	semidirect
134. C₂×#88050	C₂²	semidirect
135. #11718549	C₂²	semidirect
136. #11718548	C₂²	semidirect
138. #11718534	C₂²	semidirect
139. #11718529	C₂²	semidirect
140. #11718529	C₂²	semidirect
141. #11718525	C₂²	semidirect
144. #11718523	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718510	C₂²	semidirect
148. #11718506	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718479	C₂²	semidirect
153. #11718477	C₂²	semidirect
154. #11718477	C₂²	semidirect
155. #11718476	C₂²	semidirect
156. #11718474	C₂²	semidirect
157. #11718471	C₂²	semidirect
164. #11718469	C₂²	semidirect
165. #11718469	C₂²	semidirect
166. #11718469	C₂²	semidirect
167. #11718469	C₂²	semidirect
168. #11718469	C₂²	semidirect
169. #11718469	C₂²	semidirect
170. #11718469	C₂²	semidirect
171. #11718468	C₂²	semidirect
175. #11718467	C₂²	semidirect
176. #11718467	C₂²	semidirect
178. #11718466	C₂²	semidirect
179. #11718463	C₂²	semidirect
180. #11718463	C₂²	semidirect
181. D₁₃×#103	C₂²	semidirect
182. D₁₃×#103	C₂²	semidirect
183. #11718454	C₂²	semidirect
184. #11718454	C₂²	semidirect
185. #11718454	C₂²	semidirect
186. #11718453	C₂²	semidirect
187. #11718453	C₂²	semidirect
188. #11718452	C₂²	semidirect
189. #11718451	C₂²	semidirect
190. #11718449	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718400	C₂²	semidirect
193. #11718399	C₂²	semidirect
194. #11718394	C₂²	semidirect
199. #11718377	C₂²	semidirect
200. #11718376	C₂²	semidirect
745. #3312	D₁₃	semidirect
815. C₂²⋊D₁₃	#137	semidirect
952. #491	C₂×D₁₃	semidirect
958. #485	C₂×D₁₃	semidirect
965. #483	C₂×D₁₃	semidirect
968. #479	C₂×D₁₃	semidirect
978. #470	C₂×D₁₃	semidirect
982. #467	C₂×D₁₃	semidirect
996. #462	C₂×D₁₃	semidirect
1026. #451	C₂×D₁₃	semidirect
1027. #451	C₂×D₁₃	semidirect
1038. #441	C₂×D₁₃	semidirect
1056. #419	C₂×D₁₃	semidirect
1060. C₂×#103	C₂×D₁₃	semidirect
1655. C₁₃	#61602	semidirect

Maximal subgroups

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

subgroup	index
#13128882	2
D₄×Q₈×D₁₃	2
#13127117	2
#13127115	2
#13126886	2
#13126884	2
#13126881	2
#13126699	2
#13126697	2
#13126585	2
#13126581	2
#13126479	2
#13126475	2
#13126412	2
#13126411	2
#13126408	2
#13126407	2
#13125864	2
#13125783	2
#13125659	2
#13125656	2
#13125621	2
#13125618	2
#13124964	2
#13124921	2
#13124072	2
#13124071	2
C₂×#11718469	2
D₁₃×#451	2
#13123866	2
C₁₃×#3312	2
#61602	13