Subgroups — D₁₃×#3309 #16739613

Order 3328.

2242 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126849	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126848	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126847	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126846	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126845	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126844	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126843	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126842	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126841	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126840	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126839	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126838	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126837	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126836	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126835	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#490	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#480	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	#11719539	C₂²	1	1	yes	characteristic, complemented
37	#11719539	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719423	—	2	1	no	—
44	#11719423	C₂²	1	1	yes	characteristic, complemented
45	D₁₃×#127	—	2	1	no	—
46	D₁₃×#127	C₂²	1	1	yes	characteristic
47	#11719414	—	2	1	no	—
48	D₁₃×#126	—	2	1	no	—
49	#11719400	C₂²	1	1	yes	characteristic, complemented
50	D₁₃×#125	C₂²	1	1	yes	characteristic
51	#11719366	—	2	1	no	—
52	D₁₃×#123	—	2	1	no	—
53	#11719323	C₂²	1	1	yes	characteristic, complemented
54	#11719319	C₂²	1	1	yes	characteristic, complemented
55	D₁₃×#121	—	2	1	no	—
56	D₁₃×#121	—	2	1	no	—
57	D₁₃×#121	—	2	1	no	—
58	D₁₃×#121	C₂²	1	1	yes	characteristic
59	D₁₃×#121	C₂²	1	1	yes	characteristic
60	D₁₃×#121	C₂²	1	1	yes	characteristic
61	D₁₃×#121	C₂²	1	1	yes	characteristic
62	#11719306	—	2	1	no	—
63	#11719304	—	2	1	no	—
64	#11719304	—	2	1	no	—
65	#11719304	C₂²	1	1	yes	characteristic, complemented
66	#11719304	C₂²	1	1	yes	characteristic, complemented
67	#11719282	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
69	#11719270	C₂²	1	1	yes	characteristic, complemented
70	#11719263	C₂²	1	1	yes	characteristic, complemented
71	#11719258	—	2	1	no	—
72	#11719258	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₁₃	—	2	1	no	—
74	C₄×D₄×D₁₃	—	2	1	no	—
75	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	#11719245	—	2	1	no	—
78	#11719235	C₂²	1	1	yes	characteristic, complemented
79	D₁₃×#117	C₂²	1	1	yes	characteristic
80	#11719219	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
82	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#479	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×#449	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic, complemented
100	#11718833	C₂²	1	1	yes	characteristic, complemented
101	#11718825	C₂²	1	1	yes	characteristic, complemented
102	#11718820	C₂²	1	1	yes	characteristic, complemented
103	#11718819	C₂²	1	1	yes	characteristic, complemented
104	#11718819	C₂²	1	1	yes	characteristic, complemented
105	#11718818	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718796	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	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718733	C₂²	1	1	yes	characteristic, complemented
115	#11718732	C₂²	1	1	yes	characteristic, complemented
116	#11718728	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718700	C₂²	1	1	yes	characteristic, complemented
119	#11718700	C₂²	1	1	yes	characteristic, complemented
120	#11718699	C₂²	1	1	yes	characteristic, complemented
121	#11718699	C₂²	1	1	yes	characteristic, complemented
122	#11718698	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic, complemented
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718694	C₂²	1	1	yes	characteristic, complemented
126	#11718687	C₂²	1	1	yes	characteristic, complemented
127	#11718683	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718676	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718628	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718550	C₂²	1	1	yes	characteristic, complemented
136	#11718546	C₂²	1	1	yes	characteristic, complemented
137	#11718544	C₂²	1	1	yes	characteristic, complemented
138	#11718543	C₂²	1	1	yes	characteristic, complemented
139	#11718543	C₂²	1	1	yes	characteristic, complemented
140	D₁₃×#107	C₂²	1	1	yes	characteristic
141	D₁₃×#107	C₂²	1	1	yes	characteristic
142	#11718538	C₂²	1	1	yes	characteristic, complemented
143	#11718527	C₂²	1	1	yes	characteristic, complemented
144	#11718526	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#106	C₂²	1	1	yes	characteristic
146	#11718518	C₂²	1	1	yes	characteristic, complemented
147	#11718504	C₂²	1	1	yes	characteristic, complemented
148	#11718497	C₂²	1	1	yes	characteristic, complemented
149	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718472	C₂²	1	1	yes	characteristic, complemented
153	#11718472	C₂²	1	1	yes	characteristic, complemented
154	#11718465	C₂²	1	1	yes	characteristic, complemented
155	#11718465	C₂²	1	1	yes	characteristic, complemented
156	#11718464	C₂²	1	1	yes	characteristic, complemented
157	#11718464	C₂²	1	1	yes	characteristic, complemented
158	D₁₃×#103	C₂²	1	1	yes	characteristic
159	D₁₃×#103	C₂²	1	1	yes	characteristic
160	D₁₃×#103	C₂²	1	1	yes	characteristic
161	#11718460	C₂²	1	1	yes	characteristic, complemented
162	#11718457	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718445	C₂²	1	1	yes	characteristic, complemented
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718443	C₂²	1	1	yes	characteristic, complemented
168	#11718442	C₂²	1	1	yes	characteristic, complemented
169	#11718442	C₂²	1	1	yes	characteristic, complemented
170	#11718440	C₂²	1	1	yes	characteristic, complemented
171	#11718436	C₂²	1	1	yes	characteristic, complemented
172	#11718436	C₂²	1	1	yes	characteristic, complemented
173	#11718435	C₂²	1	1	yes	characteristic, complemented
174	#11718435	C₂²	1	1	yes	characteristic, complemented
175	#11718433	C₂²	1	1	yes	characteristic, complemented
176	#11718433	C₂²	1	1	yes	characteristic, complemented
177	#11718432	C₂²	1	1	yes	characteristic, complemented
178	#11718432	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic
180	D₁₃×#102	C₂²	1	1	yes	characteristic
181	D₁₃×#102	C₂²	1	1	yes	characteristic
182	D₁₃×#102	C₂²	1	1	yes	characteristic
183	D₁₃×#102	C₂²	1	1	yes	characteristic
184	D₁₃×#102	C₂²	1	1	yes	characteristic
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	#11718425	C₂²	1	1	yes	characteristic, complemented
187	#11718425	C₂²	1	1	yes	characteristic, complemented
188	#11718425	C₂²	1	1	yes	characteristic, complemented
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic, complemented
194	#11718395	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#11718374	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	2	4	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6129	—	2	1	no	—
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	—	2	1	no	—
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×C₄×D₁₃	—	2	1	no	—
235	C₂²×C₄×D₁₃	—	2	1	no	—
236	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×#127	—	2	1	no	—
244	C₁₃×#127	C₂³	1	1	yes	characteristic
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#125	C₂³	1	1	yes	characteristic
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₁₃×#117	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	#88194	—	2	1	no	—
265	#88194	—	2	1	no	—
266	#88194	—	2	1	no	—
267	#88194	—	2	1	no	—
268	#88194	—	2	1	no	—
269	#88194	—	2	1	no	—
270	#88194	—	2	1	no	—
271	#88194	—	2	1	no	—
272	#88194	C₂³	1	1	yes	characteristic
273	#88194	C₂³	1	1	yes	characteristic
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	—	2	1	no	—
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88192	—	2	1	no	—
285	#88192	—	2	1	no	—
286	#88192	—	2	1	no	—
287	#88192	C₂³	1	1	yes	characteristic
288	#88192	C₂³	1	1	yes	characteristic
289	#88192	C₂³	1	1	yes	characteristic
290	#88192	C₂³	1	1	yes	characteristic
291	#88189	—	2	1	no	—
292	D₄×Dic₁₃	—	2	1	no	—
293	D₄×Dic₁₃	—	2	1	no	—
294	D₄×Dic₁₃	D₄	1	1	yes	characteristic
295	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×#6105	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	C₂×#6104	C₂³	1	1	yes	characteristic
299	C₂×#6104	C₂³	1	1	yes	characteristic
300	C₂×#6104	C₂³	1	1	yes	characteristic
301	#88184	—	2	1	no	—
302	#88184	—	2	1	no	—
303	#88184	—	2	1	no	—
304	#88184	C₂³	1	1	yes	characteristic
305	#88184	C₂³	1	1	yes	characteristic
306	#88184	C₂³	1	1	yes	characteristic
307	#88184	C₂³	1	1	yes	characteristic
308	#88183	—	2	1	no	—
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	—	2	1	no	—
313	C₄×C₂²⋊D₁₃	—	2	1	no	—
314	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
316	#88180	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×#6101	—	2	1	no	—
319	C₂×#6099	C₂³	1	1	yes	characteristic
320	C₂²×#1055	C₂³	1	1	yes	characteristic
321	SD₁₆×D₁₃	—	2	4	no	—
322	D₈×D₁₃	—	4	2	no	—
323	D₈×D₁₃	—	4	2	no	—
324	M₁₆×D₁₃	—	4	2	no	—
325	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
326	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
327	C₂×#6095	C₂³	1	1	yes	characteristic
328	C₂×#6094	C₂³	1	1	yes	characteristic
329	C₂×#6094	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₁₃	—	4	2	no	—
331	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
337	#88152	—	2	1	no	—
338	#88152	—	2	1	no	—
339	#88152	—	2	1	no	—
340	#88149	—	2	1	no	—
341	#88149	—	2	1	no	—
342	#88149	—	2	1	no	—
343	#88149	C₂³	1	1	yes	characteristic
344	#88149	C₂³	1	1	yes	characteristic
345	#88149	C₂³	1	1	yes	characteristic
346	#88149	C₂³	1	1	yes	characteristic
347	#88148	—	2	1	no	—
348	#88148	—	2	1	no	—
349	#88147	—	2	1	no	—
350	#88147	—	2	1	no	—
351	#88147	D₄	1	1	yes	characteristic
352	#88147	C₂³	1	1	yes	characteristic
353	#88146	C₂³	1	1	yes	characteristic
354	#88146	C₂³	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	—	2	1	no	—
356	C₄⋊C₄×D₁₃	—	2	1	no	—
357	C₄⋊C₄×D₁₃	—	2	1	no	—
358	C₄⋊C₄×D₁₃	—	2	1	no	—
359	C₄⋊C₄×D₁₃	—	2	1	no	—
360	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
361	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	#88144	C₂³	1	1	yes	characteristic
368	#88144	C₂³	1	1	yes	characteristic
369	#88143	—	2	1	no	—
370	#88143	—	2	1	no	—
371	#88141	—	2	1	no	—
372	#88141	C₂³	1	1	yes	characteristic
373	#88140	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	D₄	1	1	yes	characteristic
392	#88135	D₄	1	1	yes	characteristic
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	C₂²⋊C₄×D₁₃	—	2	1	no	—
396	C₂²⋊C₄×D₁₃	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
400	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
401	#88133	—	2	1	no	—
402	#88133	—	2	1	no	—
403	#88133	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88130	—	2	1	no	—
406	#88128	—	2	1	no	—
407	#88128	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	—	2	1	no	—
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	#88126	—	2	1	no	—
413	C₄²×D₁₃	—	2	1	no	—
414	C₄²×D₁₃	—	2	1	no	—
415	C₄²×D₁₃	C₂³	1	1	yes	characteristic
416	#88124	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#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	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	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	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	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	#88058	C₂³	1	1	yes	characteristic
460	#88058	C₂³	1	1	yes	characteristic
461	#88057	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	#88055	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	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	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	C₂×#3309	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
543	#6131	—	2	2	no	—
544	#6131	—	2	2	no	—
545	#6131	—	4	1	no	—
546	#6131	—	4	1	no	—
547	Q₈×D₁₃	—	2	2	no	—
548	Q₈×D₁₃	#41	1	4	yes	—
549	#6129	—	2	2	no	—
550	#6129	—	2	2	no	—
551	#6129	—	4	1	no	—
552	#6129	—	4	1	no	—
553	#6129	—	4	4	no	—
554	#6129	—	4	4	no	—
555	D₄×D₁₃	—	2	2	no	—
556	D₄×D₁₃	—	2	2	no	—
557	D₄×D₁₃	—	2	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	2	2	no	—
560	D₄×D₁₃	—	2	2	no	—
561	D₄×D₁₃	—	4	2	no	—
562	D₄×D₁₃	—	4	4	no	—
563	D₄×D₁₃	—	4	4	no	—
564	D₄×D₁₃	—	4	4	no	—
565	D₄×D₁₃	—	4	4	no	—
566	D₄×D₁₃	—	8	2	no	—
567	D₄×D₁₃	—	8	2	no	—
568	D₄×D₁₃	—	8	2	no	—
569	D₄×D₁₃	—	8	2	no	—
570	#6127	—	2	2	no	—
571	#6127	—	2	2	no	—
572	#6127	—	4	4	no	—
573	#6127	—	4	4	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
585	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
586	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
587	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	2	no	—
590	C₂×C₄×D₁₃	—	2	2	no	—
591	C₂×C₄×D₁₃	—	2	2	no	—
592	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	4	4	no	—
606	C₂×C₄×D₁₃	—	4	4	no	—
607	C₂×C₄×D₁₃	—	8	2	no	—
608	C₂×C₄×D₁₃	—	8	2	no	—
609	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₂₆	—	2	1	no	—
619	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
620	C₁₃×SD₁₆	—	2	2	no	—
621	C₁₃×D₈	—	4	1	no	—
622	C₁₃×D₈	—	4	1	no	—
623	C₁₃×M₁₆	—	4	1	no	—
624	C₂×C₈×C₁₃	—	4	1	no	—
625	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	—	2	1	no	—
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₁₃	—	2	1	no	—
647	C₄²×C₁₃	—	2	1	no	—
648	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
657	#6106	—	2	2	no	—
658	#6105	—	2	2	no	—
659	#6104	—	4	1	no	—
660	#6104	—	4	1	no	—
661	#6104	—	4	1	no	—
662	#6104	—	4	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	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
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	#6103	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	C₂×D₄	1	1	yes	characteristic
701	#6101	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
708	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
711	#6099	—	4	1	no	—
712	C₂×#1055	—	4	1	no	—
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	C₂×#1055	C₂⁴	1	1	yes	characteristic
715	C₂×#1055	C₂⁴	1	1	yes	characteristic
716	C₂×#1055	C₂⁴	1	1	yes	characteristic
717	D₁₀₄	—	4	1	no	—
718	D₁₀₄	—	4	1	no	—
719	#6095	—	2	2	no	—
720	#6094	—	4	1	no	—
721	#6094	—	4	1	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	2	2	no	—
724	C₈×D₁₃	—	2	2	no	—
725	C₈×D₁₃	—	2	2	no	—
726	C₈×D₁₃	—	4	1	no	—
727	C₈×D₁₃	—	4	1	no	—
728	C₂×#553	—	13	1	no	—
729	C₂×#550	—	13	1	no	—
730	#3309	—	13	1	no	—
731	#3309	—	13	1	no	—
732	#3309	—	13	1	no	—
733	#3309	—	13	1	no	—
734	#3309	—	13	1	no	—
735	#3309	—	13	1	no	—
736	#3309	—	13	1	no	—
737	#3309	—	13	1	no	—
738	#3309	—	13	1	no	—
739	#3309	—	13	1	no	—
740	#3309	—	13	1	no	—
741	#3309	—	13	1	no	—
742	#3309	—	13	1	no	—
743	#3309	—	13	1	no	—
744	#3309	—	13	1	no	—
745	#3309	D₁₃	1	1	yes	characteristic, direct product factor
746	C₂×#490	—	13	1	no	—
747	C₂×#482	—	13	1	no	—
748	C₂×#480	—	13	1	no	—
749	C₂×#479	—	13	1	no	—
750	C₂×#469	—	13	1	no	—
751	C₂×#466	—	13	1	no	—
752	C₂×#459	—	13	1	no	—
753	C₂×#449	—	13	1	no	—
754	C₂×#449	—	13	1	no	—
755	C₂×#440	—	13	1	no	—
756	C₂×#435	—	13	1	no	—
757	C₂×#417	—	13	1	no	—
758	C₂×#416	—	13	1	no	—
759	C₂³×C₁₃	—	2	1	no	—
760	C₂³×C₁₃	—	2	1	no	—
761	C₂³×C₁₃	—	2	1	no	—
762	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
764	C₂²×D₁₃	—	2	2	no	—
765	C₂²×D₁₃	—	2	2	no	—
766	C₂²×D₁₃	—	2	2	no	—
767	C₂²×D₁₃	—	2	2	no	—
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	—	2	1	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	4	2	no	—
780	C₂²×D₁₃	—	4	2	no	—
781	C₂²×D₁₃	—	4	2	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	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	C₂×#41	1	2	yes	—
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	1	no	—
794	D₄×C₁₃	—	4	2	no	—
795	D₄×C₁₃	—	4	2	no	—
796	D₄×C₁₃	—	4	2	no	—
797	D₄×C₁₃	—	4	2	no	—
798	D₄×C₁₃	—	8	1	no	—
799	D₄×C₁₃	—	8	1	no	—
800	D₄×C₁₃	—	8	1	no	—
801	D₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	4	2	no	—
812	C₂×C₄×C₁₃	—	4	2	no	—
813	C₂×C₄×C₁₃	—	8	1	no	—
814	C₂×C₄×C₁₃	—	8	1	no	—
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
820	C₂²⋊D₁₃	—	4	1	no	—
821	C₂²⋊D₁₃	—	4	1	no	—
822	C₂²⋊D₁₃	—	4	2	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	C₂²⋊D₁₃	—	8	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	2	no	—
843	C₂×Dic₁₃	—	2	2	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	—	8	1	no	—
851	C₂×Dic₁₃	—	8	1	no	—
852	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
854	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	D₅₂	—	2	1	no	—
858	D₅₂	—	2	1	no	—
859	D₅₂	—	2	1	no	—
860	D₅₂	—	2	1	no	—
861	D₅₂	—	2	1	no	—
862	D₅₂	—	2	1	no	—
863	D₅₂	—	4	1	no	—
864	D₅₂	—	4	2	no	—
865	D₅₂	—	4	2	no	—
866	D₅₂	—	4	2	no	—
867	D₅₂	—	4	2	no	—
868	D₅₂	—	8	1	no	—
869	D₅₂	—	8	1	no	—
870	D₅₂	—	8	1	no	—
871	D₅₂	—	8	1	no	—
872	C₄×D₁₃	—	2	2	no	—
873	C₄×D₁₃	—	2	2	no	—
874	C₄×D₁₃	—	2	4	no	—
875	C₄×D₁₃	—	2	2	no	—
876	C₄×D₁₃	—	2	2	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	2	1	no	—
881	C₄×D₁₃	—	2	2	no	—
882	C₄×D₁₃	—	2	2	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	4	2	no	—
890	C₄×D₁₃	—	4	2	no	—
891	C₄×D₁₃	—	8	1	no	—
892	C₄×D₁₃	—	8	1	no	—
893	C₄×D₁₃	—	8	1	no	—
894	C₄×D₁₃	—	8	1	no	—
895	C₄×D₁₃	C₂×#41	1	2	yes	—
896	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	2	4	no	—
899	Dic₂₆	C₂×#41	1	2	yes	—
900	C₈×C₁₃	—	2	1	no	—
901	C₈×C₁₃	—	2	1	no	—
902	C₈×C₁₃	—	2	1	no	—
903	C₈×C₁₃	—	2	1	no	—
904	#1055	—	2	1	no	—
905	#1055	—	2	1	no	—
906	#1055	—	2	1	no	—
907	#1055	—	2	1	no	—
908	C₂²×#41	—	13	1	no	—
909	C₂²×#41	—	13	1	no	—
910	C₂²×SD₁₆	—	13	1	no	—
911	C₂²×D₈	—	13	1	no	—
912	C₂²×D₈	—	13	1	no	—
913	C₂²×M₁₆	—	13	1	no	—
914	C₂³×C₈	—	13	1	no	—
915	#553	—	13	1	no	—
916	#553	—	13	1	no	—
917	#553	—	13	1	no	—
918	#553	—	13	1	no	—
919	#553	—	13	1	no	—
920	#553	—	13	1	no	—
921	#553	—	13	1	no	—
922	#553	—	26	1	no	—
923	#553	—	26	1	no	—
924	#553	—	26	1	no	—
925	#553	—	26	1	no	—
926	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#550	—	13	1	no	—
928	#550	—	13	1	no	—
929	#550	—	13	1	no	—
930	#550	—	13	1	no	—
931	#550	—	13	1	no	—
932	#550	—	13	1	no	—
933	#550	—	13	1	no	—
934	#550	—	26	1	no	—
935	#550	—	26	1	no	—
936	#550	—	26	1	no	—
937	#550	—	26	1	no	—
938	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
939	C₂×#127	—	13	1	no	—
940	C₂×#127	—	26	1	no	—
941	C₂×#126	—	26	1	no	—
942	C₂×#125	—	13	1	no	—
943	C₂×#123	—	26	1	no	—
944	C₂×#121	—	13	1	no	—
945	C₂×#121	—	13	1	no	—
946	C₂×#121	—	13	1	no	—
947	C₂×#121	—	13	1	no	—
948	C₂×#121	—	26	1	no	—
949	C₂×#121	—	26	1	no	—
950	C₂×#121	—	26	1	no	—
951	C₂×C₄×Q₈	—	13	1	no	—
952	C₂×C₄×D₄	—	13	1	no	—
953	C₂×C₄×D₄	—	13	1	no	—
954	C₂×C₄×D₄	—	26	1	no	—
955	C₂×C₄×D₄	—	26	1	no	—
956	C₂×#117	—	13	1	no	—
957	C₂²×C₄⋊C₄	—	13	1	no	—
958	#490	—	13	1	no	—
959	#490	—	13	1	no	—
960	#490	—	13	1	no	—
961	#490	—	13	1	no	—
962	#490	—	13	1	no	—
963	#490	—	13	1	no	—
964	#490	—	13	1	no	—
965	#490	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#482	—	13	1	no	—
967	#482	—	13	1	no	—
968	#482	—	13	1	no	—
969	#482	—	13	1	no	—
970	#482	—	13	1	no	—
971	#482	—	13	1	no	—
972	#482	—	13	1	no	—
973	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#480	—	13	1	no	—
975	#480	—	13	1	no	—
976	#480	—	13	1	no	—
977	#480	—	13	1	no	—
978	#480	—	13	1	no	—
979	#480	—	13	1	no	—
980	#480	—	13	1	no	—
981	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#479	—	13	1	no	—
983	#479	—	13	1	no	—
984	#479	—	13	1	no	—
985	#479	—	13	1	no	—
986	#479	—	13	1	no	—
987	#479	—	13	1	no	—
988	#479	—	13	1	no	—
989	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#469	—	13	1	no	—
991	#469	—	13	1	no	—
992	#469	—	13	1	no	—
993	#469	—	13	1	no	—
994	#469	—	13	1	no	—
995	#469	—	13	1	no	—
996	#469	—	13	1	no	—
997	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#466	—	13	1	no	—
999	#466	—	13	1	no	—
1000	#466	—	13	1	no	—
1001	#466	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#459	—	13	1	no	—
1007	#459	—	13	1	no	—
1008	#459	—	13	1	no	—
1009	#459	—	13	1	no	—
1010	#459	—	13	1	no	—
1011	#459	—	13	1	no	—
1012	#459	—	13	1	no	—
1013	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#449	—	13	1	no	—
1015	#449	—	13	1	no	—
1016	#449	—	13	1	no	—
1017	#449	—	13	1	no	—
1018	#449	—	13	1	no	—
1019	#449	—	13	1	no	—
1020	#449	—	13	1	no	—
1021	#449	—	13	1	no	—
1022	#449	—	13	1	no	—
1023	#449	—	13	1	no	—
1024	#449	—	13	1	no	—
1025	#449	—	13	1	no	—
1026	#449	—	13	1	no	—
1027	#449	—	13	1	no	—
1028	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	#440	—	13	1	no	—
1031	#440	—	13	1	no	—
1032	#440	—	13	1	no	—
1033	#440	—	13	1	no	—
1034	#440	—	13	1	no	—
1035	#440	—	13	1	no	—
1036	#440	—	13	1	no	—
1037	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1038	#435	—	13	1	no	—
1039	#435	—	13	1	no	—
1040	#435	—	13	1	no	—
1041	#435	—	13	1	no	—
1042	#435	—	13	1	no	—
1043	#435	—	13	1	no	—
1044	#435	—	13	1	no	—
1045	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1046	C₂×#107	—	13	1	no	—
1047	C₂×#107	—	13	1	no	—
1048	C₂×#106	—	13	1	no	—
1049	C₂×C₄⋊C₈	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#417	—	13	1	no	—
1052	#417	—	13	1	no	—
1053	#417	—	13	1	no	—
1054	#417	—	13	1	no	—
1055	#417	—	13	1	no	—
1056	#417	—	13	1	no	—
1057	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1058	#416	—	13	1	no	—
1059	#416	—	13	1	no	—
1060	#416	—	13	1	no	—
1061	#416	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	—	13	1	no	—
1064	#416	—	13	1	no	—
1065	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	C₂×#103	—	13	1	no	—
1067	C₂×#103	—	13	1	no	—
1068	C₂×#103	—	13	1	no	—
1069	C₂×#102	—	13	1	no	—
1070	C₂×#102	—	13	1	no	—
1071	C₂×#102	—	13	1	no	—
1072	C₂×#102	—	13	1	no	—
1073	C₂×#102	—	13	1	no	—
1074	C₂×#102	—	13	1	no	—
1075	C₂×#102	—	13	1	no	—
1076	C₂×C₂²⋊C₈	—	13	1	no	—
1077	C₂×C₂²⋊C₈	—	13	1	no	—
1078	C₂×#97	—	13	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	4	1	no	—
1090	C₂²×C₁₃	—	4	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	4	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	—	4	1	no	—
1109	C₂×D₁₃	—	4	1	no	—
1110	C₂×D₁₃	—	4	1	no	—
1111	C₂×D₁₃	—	4	1	no	—
1112	C₂×D₁₃	—	8	4	no	—
1113	C₂×D₁₃	—	8	4	no	—
1114	C₂×D₁₃	—	8	4	no	—
1115	C₂×D₁₃	#546	1	2	yes	—
1116	C₂×D₁₃	#575	1	2	yes	—
1117	C₂×D₁₃	#576	1	2	yes	—
1118	C₄×C₁₃	—	2	2	no	—
1119	C₄×C₁₃	—	2	1	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	2	1	no	—
1122	C₄×C₁₃	—	2	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	—	4	1	no	—
1126	C₄×C₁₃	—	4	1	no	—
1127	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1128	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1129	Dic₁₃	—	2	2	no	—
1130	Dic₁₃	—	2	1	no	—
1131	Dic₁₃	—	2	1	no	—
1132	Dic₁₃	—	2	1	no	—
1133	Dic₁₃	—	2	1	no	—
1134	Dic₁₃	—	4	1	no	—
1135	Dic₁₃	—	4	1	no	—
1136	Dic₁₃	—	4	1	no	—
1137	Dic₁₃	—	4	1	no	—
1138	Dic₁₃	#546	1	2	yes	—
1139	C₂×#41	—	13	1	no	—
1140	C₂×#41	—	13	1	no	—
1141	C₂×#41	—	13	1	no	—
1142	C₂×#41	—	13	1	no	—
1143	C₂×#41	—	13	1	no	—
1144	C₂×#41	—	13	1	no	—
1145	C₂×#41	—	26	1	no	—
1146	C₂×#41	—	26	1	no	—
1147	C₂×#41	—	26	1	no	—
1148	C₂×#41	—	26	1	no	—
1149	C₂×#41	—	26	4	no	—
1150	C₂×#41	—	26	4	no	—
1151	C₂×#41	—	52	2	no	—
1152	C₂×#41	—	52	2	no	—
1153	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1155	C₂²×Q₈	—	13	1	no	—
1156	C₂²×D₄	—	13	1	no	—
1157	C₂²×D₄	—	13	1	no	—
1158	C₂²×D₄	—	13	1	no	—
1159	C₂²×D₄	—	13	1	no	—
1160	C₂²×D₄	—	26	1	no	—
1161	C₂²×D₄	—	26	1	no	—
1162	C₂²×D₄	—	26	1	no	—
1163	C₂²×D₄	—	26	1	no	—
1164	C₂²×D₄	—	26	1	no	—
1165	C₂²×D₄	—	26	1	no	—
1166	C₂²×D₄	—	26	1	no	—
1167	C₂²×D₄	—	26	1	no	—
1168	C₂³×C₄	—	13	1	no	—
1169	C₂³×C₄	—	13	1	no	—
1170	C₂³×C₄	—	26	1	no	—
1171	C₂³×C₄	—	26	1	no	—
1172	C₂³×C₄	—	26	1	no	—
1173	C₂³×C₄	—	26	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	26	4	no	—
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×D₈	—	13	1	no	—
1180	C₂×D₈	—	13	1	no	—
1181	C₂×D₈	—	13	1	no	—
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×D₈	—	52	2	no	—
1186	C₂×D₈	—	52	2	no	—
1187	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂×M₁₆	—	13	1	no	—
1190	C₂×M₁₆	—	13	1	no	—
1191	C₂×M₁₆	—	13	1	no	—
1192	C₂×M₁₆	—	52	2	no	—
1193	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1194	C₂²×C₈	—	13	1	no	—
1195	C₂²×C₈	—	13	1	no	—
1196	C₂²×C₈	—	13	1	no	—
1197	C₂²×C₈	—	13	1	no	—
1198	C₂²×C₈	—	13	1	no	—
1199	C₂²×C₈	—	13	1	no	—
1200	C₂²×C₈	—	13	1	no	—
1201	C₂²×C₈	—	52	2	no	—
1202	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1203	#127	—	2	1	no	—
1204	#127	—	13	1	no	—
1205	#127	—	13	1	no	—
1206	#127	—	13	1	no	—
1207	#127	—	26	1	no	—
1208	#127	—	26	1	no	—
1209	#127	—	26	1	no	—
1210	#127	—	26	1	no	—
1211	#127	—	26	1	no	—
1212	#127	—	26	1	no	—
1213	#127	—	26	1	no	—
1214	#127	—	26	1	no	—
1215	#127	—	26	1	no	—
1216	#127	C₂²×D₁₃	1	1	yes	characteristic
1217	#126	—	2	1	no	—
1218	#126	—	26	1	no	—
1219	#126	—	26	1	no	—
1220	#126	—	26	1	no	—
1221	#126	—	26	1	no	—
1222	#126	—	26	1	no	—
1223	#126	—	26	1	no	—
1224	#126	—	26	1	no	—
1225	#125	—	13	1	no	—
1226	#125	—	13	1	no	—
1227	#125	—	13	1	no	—
1228	#125	—	26	1	no	—
1229	#125	—	26	1	no	—
1230	#125	C₂²×D₁₃	1	1	yes	characteristic
1231	#123	—	2	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	13	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	—	26	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	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	C₂²×D₁₃	1	1	yes	characteristic
1284	#121	C₂²×D₁₃	1	1	yes	characteristic
1285	#121	C₂²×D₁₃	1	1	yes	characteristic
1286	#121	C₂²×D₁₃	1	1	yes	characteristic
1287	C₄×Q₈	—	13	1	no	—
1288	C₄×Q₈	—	13	1	no	—
1289	C₄×Q₈	—	13	1	no	—
1290	C₄×Q₈	—	26	1	no	—
1291	C₄×Q₈	—	26	1	no	—
1292	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1293	C₄×D₄	—	2	1	no	—
1294	C₄×D₄	—	2	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	13	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	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1322	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1323	#117	—	13	1	no	—
1324	#117	—	13	1	no	—
1325	#117	—	13	1	no	—
1326	#117	—	26	1	no	—
1327	#117	—	26	1	no	—
1328	#117	C₂²×D₁₃	1	1	yes	characteristic
1329	C₂×C₄⋊C₄	—	13	1	no	—
1330	C₂×C₄⋊C₄	—	13	1	no	—
1331	C₂×C₄⋊C₄	—	13	1	no	—
1332	C₂×C₄⋊C₄	—	13	1	no	—
1333	C₂×C₄⋊C₄	—	13	1	no	—
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	—	26	1	no	—
1338	C₂×C₄⋊C₄	—	26	1	no	—
1339	C₂×C₄⋊C₄	—	26	1	no	—
1340	C₂×C₄⋊C₄	—	26	1	no	—
1341	C₂×C₄⋊C₄	—	26	1	no	—
1342	C₂×C₄⋊C₄	—	26	1	no	—
1343	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1344	C₂×C₂²⋊C₄	—	13	1	no	—
1345	C₂×C₂²⋊C₄	—	13	1	no	—
1346	C₂×C₂²⋊C₄	—	26	1	no	—
1347	C₂×C₂²⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₄²	—	13	1	no	—
1353	C₂×C₄²	—	26	1	no	—
1354	C₂×C₄²	—	26	1	no	—
1355	#107	—	13	1	no	—
1356	#107	—	13	1	no	—
1357	#107	—	13	1	no	—
1358	#107	—	13	1	no	—
1359	#107	—	13	1	no	—
1360	#107	—	13	1	no	—
1361	#107	C₂²×D₁₃	1	1	yes	characteristic
1362	#107	C₂²×D₁₃	1	1	yes	characteristic
1363	#106	—	13	1	no	—
1364	#106	—	13	1	no	—
1365	#106	—	13	1	no	—
1366	#106	C₂²×D₁₃	1	1	yes	characteristic
1367	C₄⋊C₈	—	13	1	no	—
1368	C₄⋊C₈	—	13	1	no	—
1369	C₄⋊C₈	—	13	1	no	—
1370	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	C₂²×D₁₃	1	1	yes	characteristic
1381	#103	C₂²×D₁₃	1	1	yes	characteristic
1382	#103	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	C₂²×D₁₃	1	1	yes	characteristic
1405	#102	C₂²×D₁₃	1	1	yes	characteristic
1406	#102	C₂²×D₁₃	1	1	yes	characteristic
1407	#102	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	C₂²×D₁₃	1	1	yes	characteristic
1409	#102	C₂²×D₁₃	1	1	yes	characteristic
1410	#102	C₂²×D₁₃	1	1	yes	characteristic
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	—	13	1	no	—
1416	C₂²⋊C₈	—	13	1	no	—
1417	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1419	#97	—	13	1	no	—
1420	#97	—	13	1	no	—
1421	#97	—	13	1	no	—
1422	#97	C₂²×D₁₃	1	1	yes	characteristic
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	—	4	1	no	—
1425	C₂×C₁₃	—	8	1	no	—
1426	C₂×C₁₃	—	8	1	no	—
1427	C₂×C₁₃	—	8	1	no	—
1428	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1429	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1430	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1431	D₁₃	—	4	1	no	—
1432	D₁₃	—	4	1	no	—
1433	D₁₃	—	8	1	no	—
1434	D₁₃	—	8	1	no	—
1435	D₁₃	—	8	1	no	—
1436	D₁₃	#3309	1	4	yes	direct product factor
1437	C₂⁴	—	13	1	no	—
1438	C₂⁴	—	13	1	no	—
1439	C₂⁴	—	26	1	no	—
1440	C₂⁴	—	26	1	no	—
1441	C₂⁴	—	26	1	no	—
1442	#41	—	2	2	no	—
1443	#41	—	2	2	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	26	2	no	—
1447	#41	—	26	2	no	—
1448	#41	—	26	2	no	—
1449	#41	—	26	2	no	—
1450	#41	—	26	2	no	—
1451	#41	—	26	2	no	—
1452	#41	—	52	1	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	4	no	—
1455	#41	—	52	4	no	—
1456	#41	—	52	1	no	—
1457	#41	—	52	1	no	—
1458	#41	—	52	4	no	—
1459	#41	—	52	4	no	—
1460	#41	—	52	1	no	—
1461	#41	—	52	1	no	—
1462	C₂×Q₈	—	13	4	no	—
1463	C₂×Q₈	—	13	1	no	—
1464	C₂×Q₈	—	26	1	no	—
1465	C₂×Q₈	—	26	2	no	—
1466	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1475	C₂×D₄	—	13	1	no	—
1476	C₂×D₄	—	13	1	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	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	2	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	2	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	1	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	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	52	2	no	—
1515	C₂×D₄	—	52	4	no	—
1516	C₂×D₄	—	52	4	no	—
1517	C₂×D₄	—	52	4	no	—
1518	C₂×D₄	—	52	4	no	—
1519	C₂×D₄	—	104	2	no	—
1520	C₂×D₄	—	104	2	no	—
1521	C₂×D₄	—	104	2	no	—
1522	C₂×D₄	—	104	2	no	—
1523	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1524	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1525	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1526	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	13	1	no	—
1532	C₂²×C₄	—	13	1	no	—
1533	C₂²×C₄	—	13	1	no	—
1534	C₂²×C₄	—	13	1	no	—
1535	C₂²×C₄	—	13	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	13	1	no	—
1538	C₂²×C₄	—	13	1	no	—
1539	C₂²×C₄	—	13	1	no	—
1540	C₂²×C₄	—	13	1	no	—
1541	C₂²×C₄	—	13	1	no	—
1542	C₂²×C₄	—	26	2	no	—
1543	C₂²×C₄	—	26	2	no	—
1544	C₂²×C₄	—	26	2	no	—
1545	C₂²×C₄	—	26	2	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	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	52	4	no	—
1564	C₂²×C₄	—	52	4	no	—
1565	C₂²×C₄	—	104	2	no	—
1566	C₂²×C₄	—	104	2	no	—
1567	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1568	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1569	SD₁₆	—	2	2	no	—
1570	SD₁₆	—	26	2	no	—
1571	SD₁₆	—	26	2	no	—
1572	SD₁₆	—	26	2	no	—
1573	D₈	—	4	1	no	—
1574	D₈	—	4	1	no	—
1575	D₈	—	52	1	no	—
1576	D₈	—	52	1	no	—
1577	D₈	—	52	1	no	—
1578	D₈	—	52	1	no	—
1579	D₈	—	52	1	no	—
1580	D₈	—	52	1	no	—
1581	M₁₆	—	4	1	no	—
1582	M₁₆	—	52	1	no	—
1583	M₁₆	—	52	1	no	—
1584	M₁₆	—	52	1	no	—
1585	C₂×C₈	—	4	1	no	—
1586	C₂×C₈	—	13	1	no	—
1587	C₂×C₈	—	13	1	no	—
1588	C₂×C₈	—	13	1	no	—
1589	C₂×C₈	—	13	1	no	—
1590	C₂×C₈	—	26	2	no	—
1591	C₂×C₈	—	26	2	no	—
1592	C₂×C₈	—	26	2	no	—
1593	C₂×C₈	—	26	2	no	—
1594	C₂×C₈	—	52	1	no	—
1595	C₂×C₈	—	52	1	no	—
1596	C₂×C₈	—	52	1	no	—
1597	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1600	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	13	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	13	1	no	—
1611	C₄⋊C₄	—	13	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1629	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1630	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1631	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1632	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	13	1	no	—
1640	C₂²⋊C₄	—	13	1	no	—
1641	C₂²⋊C₄	—	13	1	no	—
1642	C₂²⋊C₄	—	13	1	no	—
1643	C₂²⋊C₄	—	13	1	no	—
1644	C₂²⋊C₄	—	13	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	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1664	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1665	C₄²	—	2	1	no	—
1666	C₄²	—	2	1	no	—
1667	C₄²	—	13	1	no	—
1668	C₄²	—	13	1	no	—
1669	C₄²	—	13	1	no	—
1670	C₄²	—	26	1	no	—
1671	C₄²	—	26	1	no	—
1672	C₄²	—	26	1	no	—
1673	C₄²	—	26	1	no	—
1674	C₄²	—	26	1	no	—
1675	C₄²	—	26	1	no	—
1676	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1677	C₁₃	C₂×#3309	1	1	yes	characteristic, complemented, Sylow
1678	C₂³	—	2	1	no	—
1679	C₂³	—	2	1	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	13	1	no	—
1682	C₂³	—	13	1	no	—
1683	C₂³	—	13	1	no	—
1684	C₂³	—	26	2	no	—
1685	C₂³	—	26	2	no	—
1686	C₂³	—	26	2	no	—
1687	C₂³	—	26	2	no	—
1688	C₂³	—	26	2	no	—
1689	C₂³	—	26	2	no	—
1690	C₂³	—	26	1	no	—
1691	C₂³	—	26	1	no	—
1692	C₂³	—	26	1	no	—
1693	C₂³	—	52	2	no	—
1694	C₂³	—	52	2	no	—
1695	C₂³	—	52	2	no	—
1696	C₂³	—	52	2	no	—
1697	C₂³	—	52	2	no	—
1698	C₂³	—	52	2	no	—
1699	C₂³	—	52	2	no	—
1700	C₂³	—	52	2	no	—
1701	C₂³	—	52	2	no	—
1702	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1703	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1704	Q₈	—	2	1	no	—
1705	Q₈	—	13	2	no	—
1706	Q₈	—	26	4	no	—
1707	Q₈	—	26	1	no	—
1708	Q₈	#41×D₁₃	1	2	yes	—
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	—	2	1	no	—
1715	D₄	—	4	1	no	—
1716	D₄	—	4	2	no	—
1717	D₄	—	4	2	no	—
1718	D₄	—	4	2	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	—	8	1	no	—
1723	D₄	—	8	1	no	—
1724	D₄	—	26	1	no	—
1725	D₄	—	26	1	no	—
1726	D₄	—	26	1	no	—
1727	D₄	—	26	1	no	—
1728	D₄	—	26	1	no	—
1729	D₄	—	26	1	no	—
1730	D₄	—	52	1	no	—
1731	D₄	—	52	2	no	—
1732	D₄	—	52	2	no	—
1733	D₄	—	52	2	no	—
1734	D₄	—	52	2	no	—
1735	D₄	—	52	2	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	52	1	no	—
1739	D₄	—	52	1	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	2	no	—
1746	D₄	—	52	2	no	—
1747	D₄	—	52	2	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	—	104	1	no	—
1754	D₄	—	104	1	no	—
1755	D₄	—	104	1	no	—
1756	D₄	—	104	1	no	—
1757	D₄	—	104	1	no	—
1758	D₄	—	104	1	no	—
1759	D₄	—	104	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	4	2	no	—
1770	C₂×C₄	—	4	2	no	—
1771	C₂×C₄	—	8	1	no	—
1772	C₂×C₄	—	8	1	no	—
1773	C₂×C₄	—	13	1	no	—
1774	C₂×C₄	—	13	2	no	—
1775	C₂×C₄	—	13	2	no	—
1776	C₂×C₄	—	13	1	no	—
1777	C₂×C₄	—	13	1	no	—
1778	C₂×C₄	—	13	1	no	—
1779	C₂×C₄	—	13	1	no	—
1780	C₂×C₄	—	26	2	no	—
1781	C₂×C₄	—	26	2	no	—
1782	C₂×C₄	—	26	2	no	—
1783	C₂×C₄	—	26	2	no	—
1784	C₂×C₄	—	26	2	no	—
1785	C₂×C₄	—	26	2	no	—
1786	C₂×C₄	—	26	4	no	—
1787	C₂×C₄	—	26	2	no	—
1788	C₂×C₄	—	26	2	no	—
1789	C₂×C₄	—	26	1	no	—
1790	C₂×C₄	—	26	1	no	—
1791	C₂×C₄	—	26	1	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	52	2	no	—
1799	C₂×C₄	—	52	2	no	—
1800	C₂×C₄	—	52	2	no	—
1801	C₂×C₄	—	52	2	no	—
1802	C₂×C₄	—	52	2	no	—
1803	C₂×C₄	—	52	2	no	—
1804	C₂×C₄	—	52	2	no	—
1805	C₂×C₄	—	52	2	no	—
1806	C₂×C₄	—	52	2	no	—
1807	C₂×C₄	—	52	2	no	—
1808	C₂×C₄	—	104	1	no	—
1809	C₂×C₄	—	104	1	no	—
1810	C₂×C₄	—	104	1	no	—
1811	C₂×C₄	—	104	1	no	—
1812	C₂×C₄	—	104	1	no	—
1813	C₂×C₄	—	104	1	no	—
1814	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1815	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1816	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1817	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1818	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1819	C₈	—	2	1	no	—
1820	C₈	—	2	1	no	—
1821	C₈	—	2	1	no	—
1822	C₈	—	2	1	no	—
1823	C₈	—	26	1	no	—
1824	C₈	—	26	1	no	—
1825	C₈	—	26	1	no	—
1826	C₈	—	26	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	13	2	no	—
1843	C₂²	—	13	2	no	—
1844	C₂²	—	13	2	no	—
1845	C₂²	—	26	1	no	—
1846	C₂²	—	26	1	no	—
1847	C₂²	—	26	1	no	—
1848	C₂²	—	26	1	no	—
1849	C₂²	—	26	1	no	—
1850	C₂²	—	26	1	no	—
1851	C₂²	—	52	4	no	—
1852	C₂²	—	52	4	no	—
1853	C₂²	—	52	1	no	—
1854	C₂²	—	52	1	no	—
1855	C₂²	—	52	1	no	—
1856	C₂²	—	52	1	no	—
1857	C₂²	—	52	1	no	—
1858	C₂²	—	52	1	no	—
1859	C₂²	—	52	1	no	—
1860	C₂²	—	52	1	no	—
1861	C₂²	—	52	1	no	—
1862	C₂²	—	104	4	no	—
1863	C₂²	—	104	4	no	—
1864	C₂²	—	104	4	no	—
1865	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	2	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	2	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	13	2	no	—
1876	C₄	—	26	1	no	—
1877	C₄	—	26	1	no	—
1878	C₄	—	26	2	no	—
1879	C₄	—	26	1	no	—
1880	C₄	—	26	1	no	—
1881	C₄	—	52	1	no	—
1882	C₄	—	52	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	—	52	1	no	—
1885	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1886	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1887	C₂	—	4	1	no	—
1888	C₂	—	4	1	no	—
1889	C₂	—	8	1	no	—
1890	C₂	—	8	1	no	—
1891	C₂	—	8	1	no	—
1892	C₂	—	13	4	no	—
1893	C₂	—	52	1	no	—
1894	C₂	—	52	1	no	—
1895	C₂	—	104	1	no	—
1896	C₂	—	104	1	no	—
1897	C₂	—	104	1	no	—
1898	C₂	D₁₃×#546	1	1	yes	characteristic
1899	C₂	D₁₃×#575	1	1	yes	characteristic
1900	C₂	D₁₃×#576	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×#3309	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3309	D₁₃
hypocenter	C₁₃	C₂×#3309
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3309

Complements

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

N	H ≅ G/N	type
1. D₁₃×#553	C₂	semidirect
2. D₁₃×#550	C₂	semidirect
3. #13126849	C₂	semidirect
4. #13126848	C₂	semidirect
5. #13126847	C₂	semidirect
6. #13126846	C₂	semidirect
7. #13126845	C₂	semidirect
8. #13126844	C₂	semidirect
9. #13126843	C₂	semidirect
10. #13126842	C₂	semidirect
11. #13126841	C₂	semidirect
12. #13126840	C₂	semidirect
13. #13126839	C₂	semidirect
14. #13126838	C₂	semidirect
15. #13126837	C₂	semidirect
16. #13126836	C₂	semidirect
17. #13126835	C₂	semidirect
18. D₁₃×#490	C₂	semidirect
19. D₁₃×#482	C₂	semidirect
20. D₁₃×#480	C₂	semidirect
21. D₁₃×#479	C₂	semidirect
22. D₁₃×#469	C₂	semidirect
23. D₁₃×#466	C₂	semidirect
24. D₁₃×#459	C₂	semidirect
25. D₁₃×#449	C₂	semidirect
26. D₁₃×#449	C₂	semidirect
27. D₁₃×#440	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#417	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3309	C₂	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719539	C₂²	semidirect
44. #11719423	C₂²	semidirect
49. #11719400	C₂²	semidirect
53. #11719323	C₂²	semidirect
54. #11719319	C₂²	semidirect
65. #11719304	C₂²	semidirect
66. #11719304	C₂²	semidirect
67. #11719282	C₂²	semidirect
69. #11719270	C₂²	semidirect
70. #11719263	C₂²	semidirect
72. #11719258	C₂²	semidirect
78. #11719235	C₂²	semidirect
80. #11719219	C₂²	semidirect
82. C₁₃×#490	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718893	C₂²	semidirect
99. #11718833	C₂²	semidirect
100. #11718833	C₂²	semidirect
101. #11718825	C₂²	semidirect
102. #11718820	C₂²	semidirect
103. #11718819	C₂²	semidirect
104. #11718819	C₂²	semidirect
105. #11718818	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718794	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718733	C₂²	semidirect
115. #11718732	C₂²	semidirect
116. #11718728	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718700	C₂²	semidirect
119. #11718700	C₂²	semidirect
120. #11718699	C₂²	semidirect
121. #11718699	C₂²	semidirect
122. #11718698	C₂²	semidirect
123. #11718698	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718694	C₂²	semidirect
126. #11718687	C₂²	semidirect
127. #11718683	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718676	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718628	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718550	C₂²	semidirect
136. #11718546	C₂²	semidirect
137. #11718544	C₂²	semidirect
138. #11718543	C₂²	semidirect
139. #11718543	C₂²	semidirect
142. #11718538	C₂²	semidirect
143. #11718527	C₂²	semidirect
144. #11718526	C₂²	semidirect
146. #11718518	C₂²	semidirect
147. #11718504	C₂²	semidirect
148. #11718497	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718472	C₂²	semidirect
153. #11718472	C₂²	semidirect
154. #11718465	C₂²	semidirect
155. #11718465	C₂²	semidirect
156. #11718464	C₂²	semidirect
157. #11718464	C₂²	semidirect
161. #11718460	C₂²	semidirect
162. #11718457	C₂²	semidirect
163. #11718447	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718445	C₂²	semidirect
166. #11718443	C₂²	semidirect
167. #11718443	C₂²	semidirect
168. #11718442	C₂²	semidirect
169. #11718442	C₂²	semidirect
170. #11718440	C₂²	semidirect
171. #11718436	C₂²	semidirect
172. #11718436	C₂²	semidirect
173. #11718435	C₂²	semidirect
174. #11718435	C₂²	semidirect
175. #11718433	C₂²	semidirect
176. #11718433	C₂²	semidirect
177. #11718432	C₂²	semidirect
178. #11718432	C₂²	semidirect
186. #11718425	C₂²	semidirect
187. #11718425	C₂²	semidirect
188. #11718425	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718395	C₂²	semidirect
194. #11718395	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718389	C₂²	semidirect
199. #11718374	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718367	C₂²	semidirect
745. #3309	D₁₃	direct (N × H)
926. #553	C₂×D₁₃	semidirect
938. #550	C₂×D₁₃	semidirect
965. #490	C₂×D₁₃	semidirect
973. #482	C₂×D₁₃	semidirect
981. #480	C₂×D₁₃	semidirect
989. #479	C₂×D₁₃	semidirect
997. #469	C₂×D₁₃	semidirect
1005. #466	C₂×D₁₃	semidirect
1013. #459	C₂×D₁₃	semidirect
1028. #449	C₂×D₁₃	semidirect
1029. #449	C₂×D₁₃	semidirect
1037. #440	C₂×D₁₃	semidirect
1045. #435	C₂×D₁₃	semidirect
1057. #417	C₂×D₁₃	semidirect
1065. #416	C₂×D₁₃	semidirect
1436. D₁₃	#3309	direct (N × H)
1677. C₁₃	C₂×#3309	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#553	2
D₁₃×#550	2
#13126849	2
#13126848	2
#13126847	2
#13126846	2
#13126845	2
#13126844	2
#13126843	2
#13126842	2
#13126841	2
#13126840	2
#13126839	2
#13126838	2
#13126837	2
#13126836	2
#13126835	2
D₁₃×#490	2
D₁₃×#482	2
D₁₃×#480	2
D₁₃×#479	2
D₁₃×#469	2
D₁₃×#466	2
D₁₃×#459	2
D₁₃×#449	2
D₁₃×#440	2
D₁₃×#435	2
D₁₃×#417	2
D₁₃×#416	2
C₁₃×#3309	2
C₂×#3309	13

Subgroups — D13×#3309 #16739613

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3309 #16739613