Subgroups — D₁₃×#3316 #16739501

Order 3328.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#548	C₂	1	1	yes	maximal, characteristic
3	#13126954	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126953	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126952	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126951	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126950	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126949	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126948	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126947	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126946	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126945	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126944	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126943	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126942	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126940	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#481	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#483	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#475	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#470	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#441	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	C₂×D₁₃×#103	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719536	C₂²	1	1	yes	characteristic
37	#11719522	C₂²	1	1	yes	characteristic
38	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×SD₁₆×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	#11719435	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
45	#11719395	—	2	1	no	—
46	D₁₃×#125	—	2	1	no	—
47	#11719382	—	2	1	no	—
48	#11719382	C₂²	1	1	yes	characteristic
49	D₁₃×#124	—	2	1	no	—
50	D₁₃×#124	C₂²	1	1	yes	characteristic
51	#11719341	—	2	1	no	—
52	#11719341	—	2	1	no	—
53	#11719340	C₂²	1	1	yes	characteristic, complemented
54	#11719340	C₂²	1	1	yes	characteristic, complemented
55	#11719338	—	2	1	no	—
56	#11719338	C₂²	1	1	yes	characteristic
57	D₁₃×C₂²⋊Q₈	—	2	1	no	—
58	D₁₃×C₂²⋊Q₈	—	2	1	no	—
59	D₁₃×C₂²⋊Q₈	—	2	1	no	—
60	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₁₃×#121	—	2	1	no	—
64	D₁₃×#121	C₂²	1	1	yes	characteristic
65	#11719303	—	2	1	no	—
66	#11719303	C₂²	1	1	yes	characteristic
67	#11719284	C₂²	1	1	yes	characteristic, complemented
68	#11719281	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
71	#11719257	—	2	1	no	—
72	#11719257	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	—	2	1	no	—
74	C₄×D₄×D₁₃	—	2	1	no	—
75	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
76	#11719248	C₂²	1	1	yes	characteristic, complemented
77	#11719244	—	2	1	no	—
78	#11719216	C₂²	1	1	yes	characteristic, complemented
79	#11719216	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	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	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718893	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	#11718845	C₂²	1	1	yes	characteristic, complemented
105	#11718834	C₂²	1	1	yes	characteristic, complemented
106	#11718832	C₂²	1	1	yes	characteristic, complemented
107	#11718827	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
114	#11718755	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718716	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718709	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718704	C₂²	1	1	yes	characteristic, complemented
124	#11718702	C₂²	1	1	yes	characteristic, complemented
125	#11718695	C₂²	1	1	yes	characteristic, complemented
126	#11718691	C₂²	1	1	yes	characteristic, complemented
127	#11718691	C₂²	1	1	yes	characteristic, complemented
128	#11718689	C₂²	1	1	yes	characteristic, complemented
129	#11718681	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718632	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
133	#11718629	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718529	C₂²	1	1	yes	characteristic, complemented
136	#11718525	C₂²	1	1	yes	characteristic, complemented
137	#11718524	C₂²	1	1	yes	characteristic, complemented
138	#11718524	C₂²	1	1	yes	characteristic, complemented
139	#11718523	C₂²	1	1	yes	characteristic, complemented
140	#11718523	C₂²	1	1	yes	characteristic, complemented
141	D₁₃×#106	C₂²	1	1	yes	characteristic
142	D₁₃×#106	C₂²	1	1	yes	characteristic
143	D₁₃×#106	C₂²	1	1	yes	characteristic
144	#11718515	C₂²	1	1	yes	characteristic, complemented
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718514	C₂²	1	1	yes	characteristic, complemented
147	#11718512	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
151	#11718477	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718471	C₂²	1	1	yes	characteristic, complemented
154	#11718469	C₂²	1	1	yes	characteristic, complemented
155	#11718469	C₂²	1	1	yes	characteristic, complemented
156	#11718468	C₂²	1	1	yes	characteristic, complemented
157	#11718466	C₂²	1	1	yes	characteristic, complemented
158	#11718466	C₂²	1	1	yes	characteristic, complemented
159	#11718464	C₂²	1	1	yes	characteristic, complemented
160	#11718464	C₂²	1	1	yes	characteristic, complemented
161	D₁₃×#103	C₂²	1	1	yes	characteristic
162	D₁₃×#103	C₂²	1	1	yes	characteristic
163	D₁₃×#103	C₂²	1	1	yes	characteristic
164	D₁₃×#103	C₂²	1	1	yes	characteristic
165	D₁₃×#103	C₂²	1	1	yes	characteristic
166	D₁₃×#103	C₂²	1	1	yes	characteristic
167	D₁₃×#103	C₂²	1	1	yes	characteristic
168	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
172	#11718459	C₂²	1	1	yes	characteristic, complemented
173	#11718456	C₂²	1	1	yes	characteristic, complemented
174	#11718456	C₂²	1	1	yes	characteristic, complemented
175	#11718452	C₂²	1	1	yes	characteristic, complemented
176	#11718452	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic, complemented
180	#11718439	C₂²	1	1	yes	characteristic, complemented
181	#11718438	C₂²	1	1	yes	characteristic, complemented
182	#11718438	C₂²	1	1	yes	characteristic, complemented
183	#11718432	C₂²	1	1	yes	characteristic, complemented
184	#11718432	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718428	C₂²	1	1	yes	characteristic, complemented
189	#11718426	C₂²	1	1	yes	characteristic, complemented
190	#11718426	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718396	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718391	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718377	C₂²	1	1	yes	characteristic, complemented
200	#11718375	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	—	2	4	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
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×#6129	—	2	1	no	—
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×Dic₂₆	—	2	1	no	—
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×SD₁₆	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	C₂³	1	1	yes	characteristic
240	C₁₃×#125	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	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	—	2	1	no	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	#88201	—	2	1	no	—
259	#88201	C₂³	1	1	yes	characteristic
260	#88200	—	2	1	no	—
261	#88200	—	2	1	no	—
262	#88200	—	2	1	no	—
263	#88200	C₂³	1	1	yes	characteristic
264	#88200	C₂³	1	1	yes	characteristic
265	#88200	C₂³	1	1	yes	characteristic
266	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
267	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
268	#88198	—	2	1	no	—
269	C₂×#6107	C₂³	1	1	yes	characteristic
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×#6106	C₂³	1	1	yes	characteristic
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	C₂³	1	1	yes	characteristic
279	#88190	—	2	1	no	—
280	#88190	C₂³	1	1	yes	characteristic
281	D₄×Dic₁₃	—	2	1	no	—
282	D₄×Dic₁₃	—	2	1	no	—
283	D₄×Dic₁₃	D₄	1	1	yes	characteristic
284	C₂×#6105	C₂³	1	1	yes	characteristic
285	#88184	—	2	1	no	—
286	#88184	C₂³	1	1	yes	characteristic
287	C₄×C₂²⋊D₁₃	—	2	1	no	—
288	C₄×C₂²⋊D₁₃	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
292	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	#88178	—	2	1	no	—
296	#88178	—	2	1	no	—
297	#88178	—	2	1	no	—
298	#88178	C₂³	1	1	yes	characteristic
299	#88178	C₂³	1	1	yes	characteristic
300	#88178	C₂³	1	1	yes	characteristic
301	C₂×#6101	—	2	1	no	—
302	C₂×#6101	—	2	1	no	—
303	C₂×#6099	C₂³	1	1	yes	characteristic
304	C₂²×#1055	C₂³	1	1	yes	characteristic
305	Q₁₆×D₁₃	—	2	4	no	—
306	Q₁₆×D₁₃	—	4	2	no	—
307	SD₁₆×D₁₃	—	4	2	no	—
308	M₁₆×D₁₃	—	4	2	no	—
309	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
310	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
311	C₂×#6095	C₂³	1	1	yes	characteristic
312	C₂×#6094	C₂³	1	1	yes	characteristic
313	C₂×#6094	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₃	—	4	2	no	—
315	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	#88151	—	2	1	no	—
322	#88151	—	2	1	no	—
323	#88151	—	2	1	no	—
324	#88151	C₂³	1	1	yes	characteristic
325	#88151	C₂³	1	1	yes	characteristic
326	#88151	C₂³	1	1	yes	characteristic
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88150	—	2	1	no	—
333	#88150	—	2	1	no	—
334	#88150	—	2	1	no	—
335	#88150	—	2	1	no	—
336	#88149	—	2	1	no	—
337	#88149	C₂³	1	1	yes	characteristic
338	#88147	—	2	1	no	—
339	#88147	—	2	1	no	—
340	#88147	D₄	1	1	yes	characteristic
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	—	2	1	no	—
345	C₄⋊C₄×D₁₃	—	2	1	no	—
346	C₄⋊C₄×D₁₃	—	2	1	no	—
347	C₄⋊C₄×D₁₃	—	2	1	no	—
348	C₄⋊C₄×D₁₃	—	2	1	no	—
349	C₄⋊C₄×D₁₃	—	2	1	no	—
350	C₄⋊C₄×D₁₃	—	2	1	no	—
351	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
352	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
353	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
354	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
357	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
358	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
359	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
360	#88144	—	2	1	no	—
361	#88144	—	2	1	no	—
362	#88143	—	2	1	no	—
363	#88143	—	2	1	no	—
364	#88143	—	2	1	no	—
365	#88143	—	2	1	no	—
366	#88142	—	2	1	no	—
367	#88142	C₂³	1	1	yes	characteristic
368	#88142	C₂³	1	1	yes	characteristic
369	#88141	—	2	1	no	—
370	#88141	—	2	1	no	—
371	#88141	C₂³	1	1	yes	characteristic
372	#88141	C₂³	1	1	yes	characteristic
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	D₄	1	1	yes	characteristic
387	#88135	D₄	1	1	yes	characteristic
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
395	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88132	—	2	1	no	—
403	#88132	—	2	1	no	—
404	#88132	—	2	1	no	—
405	#88129	—	2	1	no	—
406	#88129	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	—	2	1	no	—
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	C₄²×D₁₃	—	2	1	no	—
411	C₄²×D₁₃	—	2	1	no	—
412	C₄²×D₁₃	C₂³	1	1	yes	characteristic
413	#88124	—	2	1	no	—
414	#88123	C₂³	1	1	yes	characteristic
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	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	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	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	#88060	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88057	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#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	#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	#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	#88048	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#88048	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	C₂×#3316	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₁₃×#41	—	2	2	no	—
492	C₁₃×#41	—	4	1	no	—
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	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	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	—	2	1	no	—
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×Dic₁₃	—	2	1	no	—
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
523	#6131	—	2	2	no	—
524	#6131	—	4	1	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	Q₈×D₁₃	—	2	2	no	—
527	Q₈×D₁₃	—	2	2	no	—
528	Q₈×D₁₃	—	2	2	no	—
529	Q₈×D₁₃	—	2	2	no	—
530	Q₈×D₁₃	—	2	2	no	—
531	Q₈×D₁₃	—	2	2	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	—	8	2	no	—
537	Q₈×D₁₃	#41	1	4	yes	—
538	#6129	—	2	2	no	—
539	#6129	—	4	1	no	—
540	#6129	—	4	4	no	—
541	D₄×D₁₃	—	2	4	no	—
542	D₄×D₁₃	—	2	2	no	—
543	D₄×D₁₃	—	2	2	no	—
544	D₄×D₁₃	—	4	4	no	—
545	D₄×D₁₃	—	4	4	no	—
546	#6127	—	2	2	no	—
547	#6127	—	4	4	no	—
548	#6127	—	4	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
552	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	2	no	—
555	C₂×C₄×D₁₃	—	2	2	no	—
556	C₂×C₄×D₁₃	—	2	2	no	—
557	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	4	4	no	—
573	C₂×C₄×D₁₃	—	4	4	no	—
574	C₂×C₄×D₁₃	—	8	2	no	—
575	C₂×C₄×D₁₃	—	8	2	no	—
576	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₂₆	—	2	1	no	—
586	C₂×Dic₂₆	—	2	2	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	—	2	1	no	—
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	4	1	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	C₁₃×Q₁₆	—	2	2	no	—
601	C₁₃×Q₁₆	—	4	1	no	—
602	C₁₃×SD₁₆	—	4	1	no	—
603	C₁₃×M₁₆	—	4	1	no	—
604	C₂×C₈×C₁₃	—	4	1	no	—
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₁₃	—	2	1	no	—
631	C₄²×C₁₃	—	2	1	no	—
632	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
641	#6107	—	2	2	no	—
642	#6107	—	2	2	no	—
643	#6107	—	4	1	no	—
644	#6107	—	4	1	no	—
645	#6106	—	4	1	no	—
646	#6105	—	4	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	C₂×D₄	1	1	yes	characteristic
660	#6103	C₂×D₄	1	1	yes	characteristic
661	#6103	C₂×D₄	1	1	yes	characteristic
662	#6103	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	—	2	1	no	—
666	C₄⋊Dic₁₃	—	2	1	no	—
667	C₄⋊Dic₁₃	—	2	1	no	—
668	C₄⋊Dic₁₃	—	2	1	no	—
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	C₂×D₄	1	1	yes	characteristic
697	#6101	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
707	#6099	—	4	1	no	—
708	C₂×#1055	—	4	1	no	—
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	Dic₅₂	—	2	2	no	—
714	Dic₅₂	—	4	1	no	—
715	#6095	—	4	1	no	—
716	#6094	—	4	1	no	—
717	#6094	—	4	1	no	—
718	C₈×D₁₃	—	2	2	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	4	1	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₂×#554	—	13	1	no	—
725	C₂×#548	—	13	1	no	—
726	#3316	—	13	1	no	—
727	#3316	—	13	1	no	—
728	#3316	—	13	1	no	—
729	#3316	—	13	1	no	—
730	#3316	—	13	1	no	—
731	#3316	—	13	1	no	—
732	#3316	—	13	1	no	—
733	#3316	—	13	1	no	—
734	#3316	—	13	1	no	—
735	#3316	—	13	1	no	—
736	#3316	—	13	1	no	—
737	#3316	—	13	1	no	—
738	#3316	—	13	1	no	—
739	#3316	—	13	1	no	—
740	#3316	—	13	1	no	—
741	#3316	D₁₃	1	1	yes	characteristic, direct product factor
742	C₂×#489	—	13	1	no	—
743	C₂×#481	—	13	1	no	—
744	C₂×#483	—	13	1	no	—
745	C₂×#475	—	13	1	no	—
746	C₂×#470	—	13	1	no	—
747	C₂×#465	—	13	1	no	—
748	C₂×#464	—	13	1	no	—
749	C₂×#452	—	13	1	no	—
750	C₂×#451	—	13	1	no	—
751	C₂×#441	—	13	1	no	—
752	C₂×#435	—	13	1	no	—
753	C₂×#417	—	13	1	no	—
754	C₂²×#103	—	13	1	no	—
755	C₂³×C₁₃	—	2	1	no	—
756	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂²×D₁₃	—	2	2	no	—
759	C₂²×D₁₃	—	2	2	no	—
760	C₂²×D₁₃	—	2	2	no	—
761	C₂²×D₁₃	—	2	2	no	—
762	C₂²×D₁₃	—	2	2	no	—
763	C₂²×D₁₃	—	2	1	no	—
764	C₂²×D₁₃	—	4	2	no	—
765	C₂²×D₁₃	—	4	2	no	—
766	C₂²×D₁₃	—	4	2	no	—
767	C₂²×D₁₃	#137	1	4	yes	—
768	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	4	2	no	—
777	Q₈×C₁₃	—	8	1	no	—
778	Q₈×C₁₃	C₂×#41	1	2	yes	—
779	D₄×C₁₃	—	2	2	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	4	2	no	—
783	D₄×C₁₃	—	4	2	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	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	—	4	2	no	—
796	C₂×C₄×C₁₃	—	4	2	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
804	C₂²⋊D₁₃	—	2	2	no	—
805	C₂²⋊D₁₃	—	2	2	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂²⋊D₁₃	—	4	2	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	4	2	no	—
810	C₂²⋊D₁₃	—	4	2	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	2	no	—
813	C₂×Dic₁₃	—	2	2	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
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	—	4	2	no	—
821	C₂×Dic₁₃	—	4	2	no	—
822	C₂×Dic₁₃	—	8	1	no	—
823	C₂×Dic₁₃	—	8	1	no	—
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	D₅₂	—	2	2	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	4	2	no	—
833	D₅₂	—	4	2	no	—
834	C₄×D₁₃	—	2	2	no	—
835	C₄×D₁₃	—	2	2	no	—
836	C₄×D₁₃	—	2	4	no	—
837	C₄×D₁₃	—	2	2	no	—
838	C₄×D₁₃	—	2	2	no	—
839	C₄×D₁₃	—	2	1	no	—
840	C₄×D₁₃	—	2	1	no	—
841	C₄×D₁₃	—	2	1	no	—
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	2	no	—
844	C₄×D₁₃	—	2	2	no	—
845	C₄×D₁₃	—	4	2	no	—
846	C₄×D₁₃	—	4	2	no	—
847	C₄×D₁₃	—	4	2	no	—
848	C₄×D₁₃	—	4	2	no	—
849	C₄×D₁₃	—	4	2	no	—
850	C₄×D₁₃	—	4	2	no	—
851	C₄×D₁₃	—	4	2	no	—
852	C₄×D₁₃	—	4	2	no	—
853	C₄×D₁₃	—	4	2	no	—
854	C₄×D₁₃	—	4	2	no	—
855	C₄×D₁₃	—	8	1	no	—
856	C₄×D₁₃	—	8	1	no	—
857	C₄×D₁₃	—	8	1	no	—
858	C₄×D₁₃	—	8	1	no	—
859	C₄×D₁₃	C₂×#41	1	2	yes	—
860	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
861	Dic₂₆	—	2	1	no	—
862	Dic₂₆	—	2	4	no	—
863	Dic₂₆	—	2	1	no	—
864	Dic₂₆	—	2	1	no	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	2	1	no	—
867	Dic₂₆	—	4	2	no	—
868	Dic₂₆	—	4	2	no	—
869	Dic₂₆	—	4	2	no	—
870	Dic₂₆	—	4	2	no	—
871	Dic₂₆	—	4	2	no	—
872	Dic₂₆	—	8	1	no	—
873	Dic₂₆	—	8	1	no	—
874	Dic₂₆	—	8	1	no	—
875	Dic₂₆	C₂×#41	1	2	yes	—
876	C₈×C₁₃	—	2	1	no	—
877	C₈×C₁₃	—	2	1	no	—
878	C₈×C₁₃	—	2	1	no	—
879	C₈×C₁₃	—	2	1	no	—
880	#1055	—	2	1	no	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	C₂²×#41	—	13	1	no	—
885	C₂³×Q₈	—	13	1	no	—
886	C₂²×Q₁₆	—	13	1	no	—
887	C₂²×Q₁₆	—	13	1	no	—
888	C₂²×SD₁₆	—	13	1	no	—
889	C₂²×M₁₆	—	13	1	no	—
890	C₂³×C₈	—	13	1	no	—
891	#554	—	13	1	no	—
892	#554	—	13	1	no	—
893	#554	—	13	1	no	—
894	#554	—	13	1	no	—
895	#554	—	13	1	no	—
896	#554	—	13	1	no	—
897	#554	—	13	1	no	—
898	#554	—	26	1	no	—
899	#554	—	26	1	no	—
900	#554	—	26	1	no	—
901	#554	—	26	1	no	—
902	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
903	#548	—	13	1	no	—
904	#548	—	13	1	no	—
905	#548	—	13	1	no	—
906	#548	—	13	1	no	—
907	#548	—	13	1	no	—
908	#548	—	13	1	no	—
909	#548	—	13	1	no	—
910	#548	—	26	1	no	—
911	#548	—	26	1	no	—
912	#548	—	26	1	no	—
913	#548	—	26	1	no	—
914	#548	C₂×D₁₃	1	1	yes	characteristic
915	C₂×C₄⋊Q₈	—	13	1	no	—
916	C₂×#125	—	26	1	no	—
917	C₂×#124	—	13	1	no	—
918	C₂×#124	—	26	1	no	—
919	C₂×C₂²⋊Q₈	—	13	1	no	—
920	C₂×C₂²⋊Q₈	—	13	1	no	—
921	C₂×C₂²⋊Q₈	—	13	1	no	—
922	C₂×C₂²⋊Q₈	—	26	1	no	—
923	C₂×C₂²⋊Q₈	—	26	1	no	—
924	C₂×C₂²⋊Q₈	—	26	1	no	—
925	C₂×#121	—	13	1	no	—
926	C₂×#121	—	26	1	no	—
927	C₂×C₄×Q₈	—	13	1	no	—
928	C₂×C₄×Q₈	—	13	1	no	—
929	C₂×C₄×D₄	—	13	1	no	—
930	C₂×C₄×D₄	—	26	1	no	—
931	C₂×C₄×D₄	—	26	1	no	—
932	C₂²×C₄⋊C₄	—	13	1	no	—
933	C₂²×C₄⋊C₄	—	13	1	no	—
934	#489	—	13	1	no	—
935	#489	—	13	1	no	—
936	#489	—	13	1	no	—
937	#489	—	13	1	no	—
938	#489	—	13	1	no	—
939	#489	—	13	1	no	—
940	#489	—	13	1	no	—
941	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
942	#483	—	13	1	no	—
943	#483	—	13	1	no	—
944	#483	—	13	1	no	—
945	#483	—	13	1	no	—
946	#483	—	13	1	no	—
947	#483	—	13	1	no	—
948	#483	—	13	1	no	—
949	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#481	—	13	1	no	—
951	#481	—	13	1	no	—
952	#481	—	13	1	no	—
953	#481	—	13	1	no	—
954	#481	—	13	1	no	—
955	#481	—	13	1	no	—
956	#481	—	13	1	no	—
957	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#475	—	13	1	no	—
959	#475	—	13	1	no	—
960	#475	—	13	1	no	—
961	#475	—	13	1	no	—
962	#475	—	13	1	no	—
963	#475	—	13	1	no	—
964	#475	—	13	1	no	—
965	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#470	—	13	1	no	—
967	#470	—	13	1	no	—
968	#470	—	13	1	no	—
969	#470	—	13	1	no	—
970	#470	—	13	1	no	—
971	#470	—	13	1	no	—
972	#470	—	13	1	no	—
973	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#465	—	13	1	no	—
975	#465	—	13	1	no	—
976	#465	—	13	1	no	—
977	#465	—	13	1	no	—
978	#465	—	13	1	no	—
979	#465	—	13	1	no	—
980	#465	—	13	1	no	—
981	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#464	—	13	1	no	—
983	#464	—	13	1	no	—
984	#464	—	13	1	no	—
985	#464	—	13	1	no	—
986	#464	—	13	1	no	—
987	#464	—	13	1	no	—
988	#464	—	13	1	no	—
989	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#452	—	13	1	no	—
991	#452	—	13	1	no	—
992	#452	—	13	1	no	—
993	#452	—	13	1	no	—
994	#452	—	13	1	no	—
995	#452	—	13	1	no	—
996	#452	—	13	1	no	—
997	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#451	—	13	1	no	—
999	#451	—	13	1	no	—
1000	#451	—	13	1	no	—
1001	#451	—	13	1	no	—
1002	#451	—	13	1	no	—
1003	#451	—	13	1	no	—
1004	#451	—	13	1	no	—
1005	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#441	—	13	1	no	—
1007	#441	—	13	1	no	—
1008	#441	—	13	1	no	—
1009	#441	—	13	1	no	—
1010	#441	—	13	1	no	—
1011	#441	—	13	1	no	—
1012	#441	—	13	1	no	—
1013	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#435	—	13	1	no	—
1015	#435	—	13	1	no	—
1016	#435	—	13	1	no	—
1017	#435	—	13	1	no	—
1018	#435	—	13	1	no	—
1019	#435	—	13	1	no	—
1020	#435	—	13	1	no	—
1021	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	C₂×#106	—	13	1	no	—
1023	C₂×#106	—	13	1	no	—
1024	C₂×#106	—	13	1	no	—
1025	C₂×C₄⋊C₈	—	13	1	no	—
1026	#417	—	13	1	no	—
1027	#417	—	13	1	no	—
1028	#417	—	13	1	no	—
1029	#417	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#417	—	13	1	no	—
1033	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1034	C₂×#103	—	13	1	no	—
1035	C₂×#103	—	13	1	no	—
1036	C₂×#103	—	13	1	no	—
1037	C₂×#103	—	13	1	no	—
1038	C₂×#103	—	13	1	no	—
1039	C₂×#103	—	13	1	no	—
1040	C₂×#103	—	13	1	no	—
1041	C₂×#103	—	13	1	no	—
1042	C₂×#103	—	13	1	no	—
1043	C₂×#103	—	13	1	no	—
1044	C₂×#103	—	13	1	no	—
1045	C₂×#103	—	13	1	no	—
1046	C₂×#103	—	13	1	no	—
1047	C₂×#103	—	13	1	no	—
1048	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	C₂×#102	—	13	1	no	—
1050	C₂×#102	—	13	1	no	—
1051	C₂×#102	—	13	1	no	—
1052	C₂×C₂²⋊C₈	—	13	1	no	—
1053	C₂×C₂²⋊C₈	—	13	1	no	—
1054	C₂×#97	—	13	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	2	1	no	—
1058	C₂²×C₁₃	—	2	1	no	—
1059	C₂²×C₁₃	—	2	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	C₂×#137	1	2	yes	—
1064	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	1	no	—
1067	C₂×D₁₃	—	2	8	no	—
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	2	1	no	—
1070	C₂×D₁₃	—	2	1	no	—
1071	C₂×D₁₃	—	4	4	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	8	4	no	—
1076	C₂×D₁₃	#546	1	2	yes	—
1077	C₂×D₁₃	C₂×#137	1	2	yes	—
1078	C₂×D₁₃	C₂×#137	1	2	yes	—
1079	C₂×D₁₃	#577	1	2	yes	—
1080	C₄×C₁₃	—	2	2	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	—	4	1	no	—
1089	C₄×C₁₃	—	4	1	no	—
1090	C₄×C₁₃	—	4	1	no	—
1091	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1092	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1093	Dic₁₃	—	2	2	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	2	1	no	—
1096	Dic₁₃	—	2	1	no	—
1097	Dic₁₃	—	2	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	—	4	1	no	—
1101	Dic₁₃	—	4	1	no	—
1102	Dic₁₃	—	4	1	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	#546	1	2	yes	—
1105	C₂×#41	—	13	1	no	—
1106	C₂×#41	—	13	1	no	—
1107	C₂×#41	—	13	1	no	—
1108	C₂×#41	—	26	1	no	—
1109	C₂×#41	—	26	1	no	—
1110	C₂×#41	—	26	4	no	—
1111	C₂×#41	—	52	2	no	—
1112	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂²×Q₈	—	13	1	no	—
1114	C₂²×Q₈	—	13	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	—	26	1	no	—
1120	C₂²×Q₈	—	26	1	no	—
1121	C₂²×Q₈	—	26	1	no	—
1122	C₂²×Q₈	—	26	1	no	—
1123	C₂²×Q₈	—	26	4	no	—
1124	C₂²×Q₈	—	52	2	no	—
1125	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂²×D₄	—	13	1	no	—
1127	C₂²×D₄	—	13	1	no	—
1128	C₂²×D₄	—	26	1	no	—
1129	C₂²×D₄	—	26	1	no	—
1130	C₂³×C₄	—	13	1	no	—
1131	C₂³×C₄	—	13	1	no	—
1132	C₂³×C₄	—	26	1	no	—
1133	C₂³×C₄	—	26	1	no	—
1134	C₂³×C₄	—	26	1	no	—
1135	C₂³×C₄	—	26	1	no	—
1136	C₂×Q₁₆	—	13	1	no	—
1137	C₂×Q₁₆	—	13	1	no	—
1138	C₂×Q₁₆	—	13	1	no	—
1139	C₂×Q₁₆	—	13	1	no	—
1140	C₂×Q₁₆	—	13	1	no	—
1141	C₂×Q₁₆	—	13	1	no	—
1142	C₂×Q₁₆	—	26	4	no	—
1143	C₂×Q₁₆	—	52	2	no	—
1144	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂×SD₁₆	—	13	1	no	—
1147	C₂×SD₁₆	—	13	1	no	—
1148	C₂×SD₁₆	—	13	1	no	—
1149	C₂×SD₁₆	—	52	2	no	—
1150	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1151	C₂×M₁₆	—	13	1	no	—
1152	C₂×M₁₆	—	13	1	no	—
1153	C₂×M₁₆	—	13	1	no	—
1154	C₂×M₁₆	—	52	2	no	—
1155	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂²×C₈	—	13	1	no	—
1157	C₂²×C₈	—	13	1	no	—
1158	C₂²×C₈	—	13	1	no	—
1159	C₂²×C₈	—	13	1	no	—
1160	C₂²×C₈	—	13	1	no	—
1161	C₂²×C₈	—	13	1	no	—
1162	C₂²×C₈	—	13	1	no	—
1163	C₂²×C₈	—	52	2	no	—
1164	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1165	C₄⋊Q₈	—	13	1	no	—
1166	C₄⋊Q₈	—	13	1	no	—
1167	C₄⋊Q₈	—	13	1	no	—
1168	C₄⋊Q₈	—	26	1	no	—
1169	C₄⋊Q₈	—	26	1	no	—
1170	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1171	#125	—	2	1	no	—
1172	#125	—	26	1	no	—
1173	#125	—	26	1	no	—
1174	#125	—	26	1	no	—
1175	#125	—	26	1	no	—
1176	#125	—	26	1	no	—
1177	#125	—	26	1	no	—
1178	#125	—	26	1	no	—
1179	#124	—	2	1	no	—
1180	#124	—	13	1	no	—
1181	#124	—	13	1	no	—
1182	#124	—	13	1	no	—
1183	#124	—	26	1	no	—
1184	#124	—	26	1	no	—
1185	#124	—	26	1	no	—
1186	#124	—	26	1	no	—
1187	#124	—	26	1	no	—
1188	#124	—	26	1	no	—
1189	#124	—	26	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#124	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	13	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	13	1	no	—
1205	C₂²⋊Q₈	—	26	1	no	—
1206	C₂²⋊Q₈	—	26	1	no	—
1207	C₂²⋊Q₈	—	26	1	no	—
1208	C₂²⋊Q₈	—	26	1	no	—
1209	C₂²⋊Q₈	—	26	1	no	—
1210	C₂²⋊Q₈	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	C₂²⋊Q₈	—	26	1	no	—
1224	C₂²⋊Q₈	—	26	1	no	—
1225	C₂²⋊Q₈	—	26	1	no	—
1226	C₂²⋊Q₈	—	26	1	no	—
1227	C₂²⋊Q₈	—	26	1	no	—
1228	C₂²⋊Q₈	—	26	1	no	—
1229	C₂²⋊Q₈	—	26	1	no	—
1230	C₂²⋊Q₈	—	26	1	no	—
1231	C₂²⋊Q₈	—	26	1	no	—
1232	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1235	#121	—	2	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	C₂²×D₁₃	1	1	yes	characteristic
1249	C₄×Q₈	—	13	1	no	—
1250	C₄×Q₈	—	13	1	no	—
1251	C₄×Q₈	—	13	1	no	—
1252	C₄×Q₈	—	13	1	no	—
1253	C₄×Q₈	—	13	1	no	—
1254	C₄×Q₈	—	13	1	no	—
1255	C₄×Q₈	—	26	1	no	—
1256	C₄×Q₈	—	26	1	no	—
1257	C₄×Q₈	—	26	1	no	—
1258	C₄×Q₈	—	26	1	no	—
1259	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1260	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	13	1	no	—
1268	C₄×D₄	—	13	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	13	1	no	—
1291	C₂×C₄⋊C₄	—	13	1	no	—
1292	C₂×C₄⋊C₄	—	13	1	no	—
1293	C₂×C₄⋊C₄	—	13	1	no	—
1294	C₂×C₄⋊C₄	—	13	1	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	26	1	no	—
1297	C₂×C₄⋊C₄	—	26	1	no	—
1298	C₂×C₄⋊C₄	—	26	1	no	—
1299	C₂×C₄⋊C₄	—	26	1	no	—
1300	C₂×C₄⋊C₄	—	26	1	no	—
1301	C₂×C₄⋊C₄	—	26	1	no	—
1302	C₂×C₄⋊C₄	—	26	1	no	—
1303	C₂×C₄⋊C₄	—	26	1	no	—
1304	C₂×C₄⋊C₄	—	26	1	no	—
1305	C₂×C₄⋊C₄	—	26	1	no	—
1306	C₂×C₄⋊C₄	—	26	1	no	—
1307	C₂×C₄⋊C₄	—	26	1	no	—
1308	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1309	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂×C₂²⋊C₄	—	13	1	no	—
1311	C₂×C₂²⋊C₄	—	13	1	no	—
1312	C₂×C₂²⋊C₄	—	26	1	no	—
1313	C₂×C₂²⋊C₄	—	26	1	no	—
1314	C₂×C₂²⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	26	1	no	—
1316	C₂×C₂²⋊C₄	—	26	1	no	—
1317	C₂×C₂²⋊C₄	—	26	1	no	—
1318	C₂×C₄²	—	13	1	no	—
1319	C₂×C₄²	—	26	1	no	—
1320	C₂×C₄²	—	26	1	no	—
1321	#106	—	13	1	no	—
1322	#106	—	13	1	no	—
1323	#106	—	13	1	no	—
1324	#106	—	13	1	no	—
1325	#106	—	13	1	no	—
1326	#106	—	13	1	no	—
1327	#106	—	13	1	no	—
1328	#106	—	13	1	no	—
1329	#106	—	13	1	no	—
1330	#106	C₂²×D₁₃	1	1	yes	characteristic
1331	#106	C₂²×D₁₃	1	1	yes	characteristic
1332	#106	C₂²×D₁₃	1	1	yes	characteristic
1333	C₄⋊C₈	—	13	1	no	—
1334	C₄⋊C₈	—	13	1	no	—
1335	C₄⋊C₈	—	13	1	no	—
1336	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#103	C₂²×D₁₃	1	1	yes	characteristic
1360	#103	C₂²×D₁₃	1	1	yes	characteristic
1361	#103	C₂²×D₁₃	1	1	yes	characteristic
1362	#103	C₂²×D₁₃	1	1	yes	characteristic
1363	#103	C₂²×D₁₃	1	1	yes	characteristic
1364	#103	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	C₂²×D₁₃	1	1	yes	characteristic
1375	#102	C₂²×D₁₃	1	1	yes	characteristic
1376	#102	C₂²×D₁₃	1	1	yes	characteristic
1377	C₂²⋊C₈	—	13	1	no	—
1378	C₂²⋊C₈	—	13	1	no	—
1379	C₂²⋊C₈	—	13	1	no	—
1380	C₂²⋊C₈	—	13	1	no	—
1381	C₂²⋊C₈	—	13	1	no	—
1382	C₂²⋊C₈	—	13	1	no	—
1383	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1384	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1385	#97	—	13	1	no	—
1386	#97	—	13	1	no	—
1387	#97	—	13	1	no	—
1388	#97	C₂²×D₁₃	1	1	yes	characteristic
1389	C₂×C₁₃	—	2	2	no	—
1390	C₂×C₁₃	—	4	1	no	—
1391	C₂×C₁₃	—	8	1	no	—
1392	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1393	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1394	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1395	D₁₃	—	2	2	no	—
1396	D₁₃	—	4	1	no	—
1397	D₁₃	—	8	1	no	—
1398	D₁₃	#3316	1	4	yes	direct product factor
1399	C₂⁴	—	13	1	no	—
1400	C₂⁴	—	13	1	no	—
1401	C₂⁴	—	26	1	no	—
1402	#41	—	2	2	no	—
1403	#41	—	4	1	no	—
1404	#41	—	26	2	no	—
1405	#41	—	26	2	no	—
1406	#41	—	26	2	no	—
1407	#41	—	52	1	no	—
1408	#41	—	52	4	no	—
1409	#41	—	52	1	no	—
1410	#41	—	52	4	no	—
1411	#41	—	52	1	no	—
1412	C₂×Q₈	—	2	1	no	—
1413	C₂×Q₈	—	2	1	no	—
1414	C₂×Q₈	—	2	2	no	—
1415	C₂×Q₈	—	4	1	no	—
1416	C₂×Q₈	—	13	4	no	—
1417	C₂×Q₈	—	13	1	no	—
1418	C₂×Q₈	—	13	1	no	—
1419	C₂×Q₈	—	13	1	no	—
1420	C₂×Q₈	—	26	1	no	—
1421	C₂×Q₈	—	26	1	no	—
1422	C₂×Q₈	—	26	1	no	—
1423	C₂×Q₈	—	26	1	no	—
1424	C₂×Q₈	—	26	1	no	—
1425	C₂×Q₈	—	26	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	—	26	2	no	—
1428	C₂×Q₈	—	26	2	no	—
1429	C₂×Q₈	—	26	2	no	—
1430	C₂×Q₈	—	26	2	no	—
1431	C₂×Q₈	—	26	2	no	—
1432	C₂×Q₈	—	26	2	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	—	52	1	no	—
1438	C₂×Q₈	—	52	4	no	—
1439	C₂×Q₈	—	52	4	no	—
1440	C₂×Q₈	—	52	1	no	—
1441	C₂×Q₈	—	52	1	no	—
1442	C₂×Q₈	—	52	4	no	—
1443	C₂×Q₈	—	104	2	no	—
1444	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1445	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1446	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	13	1	no	—
1450	C₂×D₄	—	13	1	no	—
1451	C₂×D₄	—	13	1	no	—
1452	C₂×D₄	—	13	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	2	no	—
1456	C₂×D₄	—	26	2	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	4	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	1	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	52	4	no	—
1464	C₂×D₄	—	52	4	no	—
1465	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1466	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	13	1	no	—
1479	C₂²×C₄	—	13	1	no	—
1480	C₂²×C₄	—	13	1	no	—
1481	C₂²×C₄	—	13	1	no	—
1482	C₂²×C₄	—	26	2	no	—
1483	C₂²×C₄	—	26	2	no	—
1484	C₂²×C₄	—	26	2	no	—
1485	C₂²×C₄	—	26	2	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	26	1	no	—
1492	C₂²×C₄	—	26	1	no	—
1493	C₂²×C₄	—	26	1	no	—
1494	C₂²×C₄	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	52	4	no	—
1506	C₂²×C₄	—	52	4	no	—
1507	C₂²×C₄	—	104	2	no	—
1508	C₂²×C₄	—	104	2	no	—
1509	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1510	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1511	Q₁₆	—	2	2	no	—
1512	Q₁₆	—	4	1	no	—
1513	Q₁₆	—	26	2	no	—
1514	Q₁₆	—	26	2	no	—
1515	Q₁₆	—	26	2	no	—
1516	Q₁₆	—	52	1	no	—
1517	Q₁₆	—	52	1	no	—
1518	Q₁₆	—	52	1	no	—
1519	SD₁₆	—	4	1	no	—
1520	SD₁₆	—	52	1	no	—
1521	SD₁₆	—	52	1	no	—
1522	SD₁₆	—	52	1	no	—
1523	M₁₆	—	4	1	no	—
1524	M₁₆	—	52	1	no	—
1525	M₁₆	—	52	1	no	—
1526	M₁₆	—	52	1	no	—
1527	C₂×C₈	—	4	1	no	—
1528	C₂×C₈	—	13	1	no	—
1529	C₂×C₈	—	13	1	no	—
1530	C₂×C₈	—	13	1	no	—
1531	C₂×C₈	—	13	1	no	—
1532	C₂×C₈	—	26	2	no	—
1533	C₂×C₈	—	26	2	no	—
1534	C₂×C₈	—	26	2	no	—
1535	C₂×C₈	—	26	2	no	—
1536	C₂×C₈	—	52	1	no	—
1537	C₂×C₈	—	52	1	no	—
1538	C₂×C₈	—	52	1	no	—
1539	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1540	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1541	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	13	1	no	—
1552	C₄⋊C₄	—	13	1	no	—
1553	C₄⋊C₄	—	13	1	no	—
1554	C₄⋊C₄	—	13	1	no	—
1555	C₄⋊C₄	—	13	1	no	—
1556	C₄⋊C₄	—	13	1	no	—
1557	C₄⋊C₄	—	13	1	no	—
1558	C₄⋊C₄	—	26	1	no	—
1559	C₄⋊C₄	—	26	1	no	—
1560	C₄⋊C₄	—	26	1	no	—
1561	C₄⋊C₄	—	26	1	no	—
1562	C₄⋊C₄	—	26	1	no	—
1563	C₄⋊C₄	—	26	1	no	—
1564	C₄⋊C₄	—	26	1	no	—
1565	C₄⋊C₄	—	26	1	no	—
1566	C₄⋊C₄	—	26	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1622	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1623	C₄²	—	2	1	no	—
1624	C₄²	—	2	1	no	—
1625	C₄²	—	13	1	no	—
1626	C₄²	—	13	1	no	—
1627	C₄²	—	13	1	no	—
1628	C₄²	—	26	1	no	—
1629	C₄²	—	26	1	no	—
1630	C₄²	—	26	1	no	—
1631	C₄²	—	26	1	no	—
1632	C₄²	—	26	1	no	—
1633	C₄²	—	26	1	no	—
1634	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1635	C₁₃	C₂×#3316	1	1	yes	characteristic, complemented, Sylow
1636	C₂³	—	2	1	no	—
1637	C₂³	—	13	1	no	—
1638	C₂³	—	13	4	no	—
1639	C₂³	—	13	1	no	—
1640	C₂³	—	13	1	no	—
1641	C₂³	—	26	2	no	—
1642	C₂³	—	26	2	no	—
1643	C₂³	—	26	2	no	—
1644	C₂³	—	26	2	no	—
1645	C₂³	—	26	2	no	—
1646	C₂³	—	26	1	no	—
1647	C₂³	—	52	2	no	—
1648	C₂³	—	52	2	no	—
1649	C₂³	—	52	2	no	—
1650	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1651	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1652	Q₈	—	2	1	no	—
1653	Q₈	—	2	1	no	—
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	2	1	no	—
1657	Q₈	—	4	2	no	—
1658	Q₈	—	8	1	no	—
1659	Q₈	—	13	2	no	—
1660	Q₈	—	26	4	no	—
1661	Q₈	—	26	1	no	—
1662	Q₈	—	26	1	no	—
1663	Q₈	—	26	1	no	—
1664	Q₈	—	26	1	no	—
1665	Q₈	—	26	1	no	—
1666	Q₈	—	52	2	no	—
1667	Q₈	—	52	2	no	—
1668	Q₈	—	52	2	no	—
1669	Q₈	—	52	2	no	—
1670	Q₈	—	52	2	no	—
1671	Q₈	—	104	1	no	—
1672	Q₈	—	104	1	no	—
1673	Q₈	—	104	1	no	—
1674	Q₈	#41×D₁₃	1	2	yes	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	4	2	no	—
1679	D₄	—	4	2	no	—
1680	D₄	—	26	2	no	—
1681	D₄	—	26	2	no	—
1682	D₄	—	26	2	no	—
1683	D₄	—	26	1	no	—
1684	D₄	—	26	1	no	—
1685	D₄	—	52	2	no	—
1686	D₄	—	52	2	no	—
1687	D₄	—	52	2	no	—
1688	D₄	—	52	2	no	—
1689	D₄	—	52	2	no	—
1690	D₄	—	52	2	no	—
1691	D₄	—	52	2	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	4	2	no	—
1704	C₂×C₄	—	4	2	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	13	1	no	—
1708	C₂×C₄	—	13	2	no	—
1709	C₂×C₄	—	13	2	no	—
1710	C₂×C₄	—	13	1	no	—
1711	C₂×C₄	—	13	1	no	—
1712	C₂×C₄	—	13	1	no	—
1713	C₂×C₄	—	13	1	no	—
1714	C₂×C₄	—	26	2	no	—
1715	C₂×C₄	—	26	2	no	—
1716	C₂×C₄	—	26	2	no	—
1717	C₂×C₄	—	26	2	no	—
1718	C₂×C₄	—	26	2	no	—
1719	C₂×C₄	—	26	2	no	—
1720	C₂×C₄	—	26	4	no	—
1721	C₂×C₄	—	26	2	no	—
1722	C₂×C₄	—	26	2	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	26	1	no	—
1727	C₂×C₄	—	26	1	no	—
1728	C₂×C₄	—	26	1	no	—
1729	C₂×C₄	—	26	1	no	—
1730	C₂×C₄	—	26	1	no	—
1731	C₂×C₄	—	26	1	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	26	1	no	—
1734	C₂×C₄	—	52	2	no	—
1735	C₂×C₄	—	52	2	no	—
1736	C₂×C₄	—	52	2	no	—
1737	C₂×C₄	—	52	2	no	—
1738	C₂×C₄	—	52	2	no	—
1739	C₂×C₄	—	52	2	no	—
1740	C₂×C₄	—	52	2	no	—
1741	C₂×C₄	—	52	2	no	—
1742	C₂×C₄	—	52	2	no	—
1743	C₂×C₄	—	52	2	no	—
1744	C₂×C₄	—	52	2	no	—
1745	C₂×C₄	—	52	2	no	—
1746	C₂×C₄	—	104	1	no	—
1747	C₂×C₄	—	104	1	no	—
1748	C₂×C₄	—	104	1	no	—
1749	C₂×C₄	—	104	1	no	—
1750	C₂×C₄	—	104	1	no	—
1751	C₂×C₄	—	104	1	no	—
1752	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1753	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1754	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1755	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1756	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1757	C₈	—	2	1	no	—
1758	C₈	—	2	1	no	—
1759	C₈	—	2	1	no	—
1760	C₈	—	2	1	no	—
1761	C₈	—	26	1	no	—
1762	C₈	—	26	1	no	—
1763	C₈	—	26	1	no	—
1764	C₈	—	26	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	2	1	no	—
1767	C₂²	—	2	1	no	—
1768	C₂²	—	2	1	no	—
1769	C₂²	—	2	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	13	2	no	—
1774	C₂²	—	13	2	no	—
1775	C₂²	—	13	2	no	—
1776	C₂²	—	13	2	no	—
1777	C₂²	—	26	8	no	—
1778	C₂²	—	26	1	no	—
1779	C₂²	—	26	1	no	—
1780	C₂²	—	26	1	no	—
1781	C₂²	—	26	1	no	—
1782	C₂²	—	26	1	no	—
1783	C₂²	—	52	4	no	—
1784	C₂²	—	52	1	no	—
1785	C₂²	—	52	1	no	—
1786	C₂²	—	52	1	no	—
1787	C₂²	—	104	4	no	—
1788	C₂²	D₁₃×#137	1	2	yes	—
1789	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	2	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	4	1	no	—
1798	C₄	—	4	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	13	2	no	—
1802	C₄	—	26	1	no	—
1803	C₄	—	26	1	no	—
1804	C₄	—	26	2	no	—
1805	C₄	—	26	1	no	—
1806	C₄	—	26	1	no	—
1807	C₄	—	52	1	no	—
1808	C₄	—	52	1	no	—
1809	C₄	—	52	1	no	—
1810	C₄	—	52	1	no	—
1811	C₄	—	52	1	no	—
1812	C₄	—	52	1	no	—
1813	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1814	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1815	C₂	—	2	2	no	—
1816	C₂	—	4	1	no	—
1817	C₂	—	8	1	no	—
1818	C₂	—	13	4	no	—
1819	C₂	—	26	2	no	—
1820	C₂	—	52	1	no	—
1821	C₂	—	104	1	no	—
1822	C₂	D₁₃×#546	1	1	yes	characteristic
1823	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1824	C₂	D₁₃×#577	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×#3316	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#548	C₂
hypercenter	#3316	D₁₃
hypocenter	C₁₃	C₂×#3316
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3316

Complements

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

N	H ≅ G/N	type
1. D₁₃×#554	C₂	semidirect
3. #13126954	C₂	semidirect
4. #13126953	C₂	semidirect
5. #13126952	C₂	semidirect
6. #13126951	C₂	semidirect
7. #13126950	C₂	semidirect
8. #13126949	C₂	semidirect
9. #13126948	C₂	semidirect
10. #13126947	C₂	semidirect
11. #13126946	C₂	semidirect
12. #13126945	C₂	semidirect
13. #13126944	C₂	semidirect
14. #13126943	C₂	semidirect
15. #13126942	C₂	semidirect
16. #13126941	C₂	semidirect
17. #13126940	C₂	semidirect
18. D₁₃×#489	C₂	semidirect
19. D₁₃×#481	C₂	semidirect
20. D₁₃×#483	C₂	semidirect
21. D₁₃×#475	C₂	semidirect
22. D₁₃×#470	C₂	semidirect
23. D₁₃×#465	C₂	semidirect
24. D₁₃×#464	C₂	semidirect
25. D₁₃×#452	C₂	semidirect
26. D₁₃×#451	C₂	semidirect
27. D₁₃×#441	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#417	C₂	semidirect
30. C₂×D₁₃×#103	C₂	semidirect
31. C₁₃×#3316	C₂	semidirect
34. C₁₃×#554	C₂²	semidirect
43. #11719435	C₂²	semidirect
53. #11719340	C₂²	semidirect
54. #11719340	C₂²	semidirect
67. #11719284	C₂²	semidirect
76. #11719248	C₂²	semidirect
78. #11719216	C₂²	semidirect
79. #11719216	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#483	C₂²	semidirect
84. C₁₃×#481	C₂²	semidirect
85. C₁₃×#475	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₂×C₁₃×#103	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718893	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. C₂×#88075	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718847	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718845	C₂²	semidirect
105. #11718834	C₂²	semidirect
106. #11718832	C₂²	semidirect
107. #11718827	C₂²	semidirect
108. #11718798	C₂²	semidirect
109. #11718794	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. C₂×#88056	C₂²	semidirect
114. #11718755	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718716	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718709	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718704	C₂²	semidirect
124. #11718702	C₂²	semidirect
125. #11718695	C₂²	semidirect
126. #11718691	C₂²	semidirect
127. #11718691	C₂²	semidirect
128. #11718689	C₂²	semidirect
129. #11718681	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718632	C₂²	semidirect
132. C₂×#88050	C₂²	semidirect
133. #11718629	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718529	C₂²	semidirect
136. #11718525	C₂²	semidirect
137. #11718524	C₂²	semidirect
138. #11718524	C₂²	semidirect
139. #11718523	C₂²	semidirect
140. #11718523	C₂²	semidirect
144. #11718515	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718514	C₂²	semidirect
147. #11718512	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718497	C₂²	semidirect
151. #11718477	C₂²	semidirect
152. #11718477	C₂²	semidirect
153. #11718471	C₂²	semidirect
154. #11718469	C₂²	semidirect
155. #11718469	C₂²	semidirect
156. #11718468	C₂²	semidirect
157. #11718466	C₂²	semidirect
158. #11718466	C₂²	semidirect
159. #11718464	C₂²	semidirect
160. #11718464	C₂²	semidirect
168. D₁₃×#103	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. D₁₃×#103	C₂²	semidirect
171. D₁₃×#103	C₂²	semidirect
172. #11718459	C₂²	semidirect
173. #11718456	C₂²	semidirect
174. #11718456	C₂²	semidirect
175. #11718452	C₂²	semidirect
176. #11718452	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718444	C₂²	semidirect
180. #11718439	C₂²	semidirect
181. #11718438	C₂²	semidirect
182. #11718438	C₂²	semidirect
183. #11718432	C₂²	semidirect
184. #11718432	C₂²	semidirect
188. #11718428	C₂²	semidirect
189. #11718426	C₂²	semidirect
190. #11718426	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718396	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718391	C₂²	semidirect
195. #11718389	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718377	C₂²	semidirect
200. #11718375	C₂²	semidirect
201. #11718367	C₂²	semidirect
741. #3316	D₁₃	direct (N × H)
902. #554	C₂×D₁₃	semidirect
941. #489	C₂×D₁₃	semidirect
949. #483	C₂×D₁₃	semidirect
957. #481	C₂×D₁₃	semidirect
965. #475	C₂×D₁₃	semidirect
973. #470	C₂×D₁₃	semidirect
981. #465	C₂×D₁₃	semidirect
989. #464	C₂×D₁₃	semidirect
997. #452	C₂×D₁₃	semidirect
1005. #451	C₂×D₁₃	semidirect
1013. #441	C₂×D₁₃	semidirect
1021. #435	C₂×D₁₃	semidirect
1033. #417	C₂×D₁₃	semidirect
1048. C₂×#103	C₂×D₁₃	semidirect
1398. D₁₃	#3316	direct (N × H)
1635. C₁₃	C₂×#3316	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#554	2
D₁₃×#548	2
#13126954	2
#13126953	2
#13126952	2
#13126951	2
#13126950	2
#13126949	2
#13126948	2
#13126947	2
#13126946	2
#13126945	2
#13126944	2
#13126943	2
#13126942	2
#13126941	2
#13126940	2
D₁₃×#489	2
D₁₃×#481	2
D₁₃×#483	2
D₁₃×#475	2
D₁₃×#470	2
D₁₃×#465	2
D₁₃×#464	2
D₁₃×#452	2
D₁₃×#451	2
D₁₃×#441	2
D₁₃×#435	2
D₁₃×#417	2
C₂×D₁₃×#103	2
C₁₃×#3316	2
C₂×#3316	13

Subgroups — D13×#3316 #16739501

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3316 #16739501