Subgroups — #16730787

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128166	C₂	1	1	yes	maximal, characteristic
2	#13128037	C₂	1	1	yes	maximal, characteristic, complemented
3	#13124828	C₂	1	1	yes	maximal, characteristic, complemented
4	#13124826	C₂	1	1	yes	maximal, characteristic, complemented
5	#13124822	C₂	1	1	yes	maximal, characteristic, complemented
6	#13124820	C₂	1	1	yes	maximal, characteristic, complemented
7	#13124817	C₂	1	1	yes	maximal, characteristic, complemented
8	#13124815	C₂	1	1	yes	maximal, characteristic, complemented
9	#13124811	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124809	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124804	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124802	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124800	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124798	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124791	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124789	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124787	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124753	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124753	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124751	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124749	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124747	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124747	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124745	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123424	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#427	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×#6127	C₂²	1	1	yes	characteristic
34	C₁₃×#525	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
36	#11719533	C₂²	1	1	yes	characteristic
37	#11719496	C₂²	1	1	yes	characteristic
38	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#6094	C₂²	1	1	yes	characteristic
40	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
41	#11719358	—	2	1	no	—
42	#11719353	—	2	1	no	—
43	#11719334	C₂²	1	1	yes	characteristic
44	#11719334	C₂²	1	1	yes	characteristic
45	#11719333	C₂²	1	1	yes	characteristic
46	#11719333	C₂²	1	1	yes	characteristic
47	#11719313	C₂²	1	1	yes	characteristic
48	#11719313	C₂²	1	1	yes	characteristic
49	#11719312	C₂²	1	1	yes	characteristic
50	#11719312	C₂²	1	1	yes	characteristic
51	#11719297	—	2	1	no	—
52	#11719294	—	2	1	no	—
53	#11719253	—	2	1	no	—
54	#11719253	—	2	1	no	—
55	#11719252	—	2	1	no	—
56	#11719252	—	2	1	no	—
57	#11719229	C₂²	1	1	yes	characteristic
58	#11719228	C₂²	1	1	yes	characteristic
59	#11719228	C₂²	1	1	yes	characteristic
60	#11719228	C₂²	1	1	yes	characteristic, complemented
61	#11719228	C₂²	1	1	yes	characteristic, complemented
62	#11719227	—	2	1	no	—
63	#11719227	—	2	1	no	—
64	#11719226	—	2	1	no	—
65	D₁₃×#117	C₂²	1	1	yes	characteristic
66	D₁₃×#117	C₂²	1	1	yes	characteristic
67	D₁₃×#117	C₂²	1	1	yes	characteristic
68	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
69	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
70	#11719221	—	2	1	no	—
71	#11719209	C₂²	1	1	yes	characteristic
72	#11719209	C₂²	1	1	yes	characteristic
73	#11719209	C₂²	1	1	yes	characteristic, complemented
74	#11719209	C₂²	1	1	yes	characteristic, complemented
75	#11719191	—	2	1	no	—
76	#11719191	—	2	1	no	—
77	C₄×#6127	—	2	1	no	—
78	C₄×#6127	—	2	1	no	—
79	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#416	C₂²	1	1	yes	characteristic
90	C₁₃×#416	C₂²	1	1	yes	characteristic
91	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
92	#11718894	C₂²	1	1	yes	characteristic
93	#11718894	C₂²	1	1	yes	characteristic
94	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
95	#11718774	C₂²	1	1	yes	characteristic
96	#11718774	C₂²	1	1	yes	characteristic
97	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
99	#11718767	C₂²	1	1	yes	characteristic, complemented
100	#11718767	C₂²	1	1	yes	characteristic, complemented
101	#11718706	C₂²	1	1	yes	characteristic, complemented
102	#11718706	C₂²	1	1	yes	characteristic, complemented
103	#11718705	C₂²	1	1	yes	characteristic, complemented
104	#11718704	C₂²	1	1	yes	characteristic, complemented
105	#11718696	C₂²	1	1	yes	characteristic, complemented
106	#11718696	C₂²	1	1	yes	characteristic, complemented
107	#11718695	C₂²	1	1	yes	characteristic, complemented
108	#11718694	C₂²	1	1	yes	characteristic, complemented
109	#11718664	C₂²	1	1	yes	characteristic, complemented
110	#11718664	C₂²	1	1	yes	characteristic, complemented
111	#11718663	C₂²	1	1	yes	characteristic
112	#11718663	C₂²	1	1	yes	characteristic
113	#11718659	C₂²	1	1	yes	characteristic, complemented
114	#11718659	C₂²	1	1	yes	characteristic, complemented
115	#11718659	C₂²	1	1	yes	characteristic, complemented
116	#11718659	C₂²	1	1	yes	characteristic, complemented
117	#11718657	C₂²	1	1	yes	characteristic, complemented
118	#11718657	C₂²	1	1	yes	characteristic, complemented
119	#11718632	C₂²	1	1	yes	characteristic, complemented
120	#11718631	C₂²	1	1	yes	characteristic, complemented
121	#11718629	C₂²	1	1	yes	characteristic, complemented
122	#11718628	C₂²	1	1	yes	characteristic, complemented
123	#11718549	C₂²	1	1	yes	characteristic, complemented
124	#11718549	C₂²	1	1	yes	characteristic, complemented
125	#11718546	C₂²	1	1	yes	characteristic, complemented
126	#11718546	C₂²	1	1	yes	characteristic, complemented
127	#11718545	C₂²	1	1	yes	characteristic, complemented
128	#11718545	C₂²	1	1	yes	characteristic, complemented
129	#11718543	C₂²	1	1	yes	characteristic, complemented
130	#11718543	C₂²	1	1	yes	characteristic, complemented
131	#11718542	C₂²	1	1	yes	characteristic, complemented
132	#11718542	C₂²	1	1	yes	characteristic, complemented
133	#11718542	C₂²	1	1	yes	characteristic, complemented
134	#11718542	C₂²	1	1	yes	characteristic, complemented
135	#11718541	C₂²	1	1	yes	characteristic, complemented
136	#11718541	C₂²	1	1	yes	characteristic, complemented
137	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718528	C₂²	1	1	yes	characteristic, complemented
141	#11718527	C₂²	1	1	yes	characteristic, complemented
142	#11718527	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718523	C₂²	1	1	yes	characteristic, complemented
146	#11718523	C₂²	1	1	yes	characteristic, complemented
147	#11718522	C₂²	1	1	yes	characteristic, complemented
148	#11718522	C₂²	1	1	yes	characteristic, complemented
149	#11718522	C₂²	1	1	yes	characteristic, complemented
150	#11718522	C₂²	1	1	yes	characteristic, complemented
151	#11718521	C₂²	1	1	yes	characteristic, complemented
152	#11718521	C₂²	1	1	yes	characteristic, complemented
153	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
155	#11718476	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718475	C₂²	1	1	yes	characteristic, complemented
158	#11718475	C₂²	1	1	yes	characteristic, complemented
159	#11718470	C₂²	1	1	yes	characteristic, complemented
160	#11718470	C₂²	1	1	yes	characteristic, complemented
161	#11718466	C₂²	1	1	yes	characteristic, complemented
162	#11718466	C₂²	1	1	yes	characteristic, complemented
163	#11718465	C₂²	1	1	yes	characteristic, complemented
164	#11718465	C₂²	1	1	yes	characteristic, complemented
165	#11718464	C₂²	1	1	yes	characteristic, complemented
166	#11718464	C₂²	1	1	yes	characteristic, complemented
167	#11718463	C₂²	1	1	yes	characteristic, complemented
168	#11718463	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	#11718445	C₂²	1	1	yes	characteristic, complemented
172	#11718445	C₂²	1	1	yes	characteristic, complemented
173	#11718440	C₂²	1	1	yes	characteristic, complemented
174	#11718440	C₂²	1	1	yes	characteristic, complemented
175	#11718438	C₂²	1	1	yes	characteristic, complemented
176	#11718438	C₂²	1	1	yes	characteristic, complemented
177	#11718435	C₂²	1	1	yes	characteristic, complemented
178	#11718435	C₂²	1	1	yes	characteristic, complemented
179	#11718433	C₂²	1	1	yes	characteristic, complemented
180	#11718433	C₂²	1	1	yes	characteristic, complemented
181	#11718432	C₂²	1	1	yes	characteristic, complemented
182	#11718432	C₂²	1	1	yes	characteristic, complemented
183	#11718431	C₂²	1	1	yes	characteristic, complemented
184	#11718431	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718398	C₂²	1	1	yes	characteristic, complemented
189	#11718397	C₂²	1	1	yes	characteristic, complemented
190	#11718396	C₂²	1	1	yes	characteristic, complemented
191	#11718388	C₂²	1	1	yes	characteristic
192	#11718388	C₂²	1	1	yes	characteristic
193	#11718388	C₂²	1	1	yes	characteristic
194	#11718388	C₂²	1	1	yes	characteristic
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718388	C₂²	1	1	yes	characteristic, complemented
198	#11718388	C₂²	1	1	yes	characteristic, complemented
199	#11718384	C₂²	1	1	yes	characteristic, complemented
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718383	C₂²	1	1	yes	characteristic, complemented
202	#11718382	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	2	4	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×#6129	—	2	1	no	—
212	C₂×#6129	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	—	2	1	no	—
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×#6127	—	2	1	no	—
216	C₂×#6127	—	2	4	no	—
217	C₂×#6127	—	2	4	no	—
218	C₂×#6127	D₄	1	1	yes	characteristic
219	C₂×#6127	D₄	1	1	yes	characteristic
220	C₂×#6127	D₄	1	1	yes	characteristic
221	C₂×#6127	D₄	1	1	yes	characteristic
222	C₂×#6127	C₂³	1	1	yes	characteristic
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	D₄	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆	D₄	1	1	yes	characteristic
232	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#120	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₁₃×#117	—	2	1	no	—
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₁₃×#117	C₂³	1	1	yes	characteristic
248	C₁₃×#117	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₄²×C₁₃	—	2	1	no	—
253	#88207	—	2	1	no	—
254	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
255	#88200	C₂³	1	1	yes	characteristic
256	#88200	C₂³	1	1	yes	characteristic
257	#88194	—	2	1	no	—
258	#88194	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88193	—	2	1	no	—
261	#88192	—	2	1	no	—
262	#88192	—	2	1	no	—
263	#88192	C₂³	1	1	yes	characteristic
264	#88192	C₂³	1	1	yes	characteristic
265	#88191	—	2	1	no	—
266	#88191	—	2	1	no	—
267	#88191	—	2	1	no	—
268	#88189	—	2	1	no	—
269	#88184	C₂³	1	1	yes	characteristic
270	#88184	C₂³	1	1	yes	characteristic
271	#88183	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	—	2	1	no	—
273	C₄×C₂²⋊D₁₃	—	2	1	no	—
274	C₄×C₂²⋊D₁₃	—	2	1	no	—
275	C₄×C₂²⋊D₁₃	—	2	1	no	—
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	#88180	—	2	1	no	—
285	#88180	—	2	1	no	—
286	#88180	C₂³	1	1	yes	characteristic
287	#88180	C₂³	1	1	yes	characteristic
288	#88180	C₂³	1	1	yes	characteristic
289	#88180	C₂³	1	1	yes	characteristic
290	#88180	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	—	2	1	no	—
296	C₂²×#1055	C₂³	1	1	yes	characteristic
297	C₂²×#1055	C₂³	1	1	yes	characteristic
298	C₂×#6094	—	2	4	no	—
299	C₂×#6094	C₂³	1	1	yes	characteristic
300	C₂×#6094	C₂³	1	1	yes	characteristic
301	C₂×#6094	C₂³	1	1	yes	characteristic
302	C₂×#6094	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₁₃	—	2	4	no	—
304	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
308	#88151	C₂³	1	1	yes	characteristic
309	#88151	C₂³	1	1	yes	characteristic
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88149	—	2	1	no	—
313	#88149	—	2	1	no	—
314	#88149	C₂³	1	1	yes	characteristic
315	#88149	C₂³	1	1	yes	characteristic
316	#88148	—	2	1	no	—
317	#88148	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	—	2	1	no	—
320	#88147	—	2	1	no	—
321	#88147	—	2	1	no	—
322	#88146	C₂³	1	1	yes	characteristic
323	#88146	C₂³	1	1	yes	characteristic
324	#88146	C₂³	1	1	yes	characteristic
325	#88146	C₂³	1	1	yes	characteristic
326	#88146	C₂³	1	1	yes	characteristic
327	#88146	C₂³	1	1	yes	characteristic
328	#88146	C₂³	1	1	yes	characteristic
329	#88146	C₂³	1	1	yes	characteristic
330	#88146	C₂³	1	1	yes	characteristic
331	#88146	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
342	#88142	—	2	1	no	—
343	#88142	—	2	1	no	—
344	#88141	—	2	1	no	—
345	#88141	—	2	1	no	—
346	#88141	—	2	1	no	—
347	#88141	—	2	1	no	—
348	#88140	—	2	1	no	—
349	#88139	—	2	1	no	—
350	#88139	—	2	1	no	—
351	#88139	—	2	1	no	—
352	#88139	—	2	1	no	—
353	#88138	—	2	1	no	—
354	#88138	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88136	—	2	1	no	—
362	#88136	—	2	1	no	—
363	#88136	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	C₂²⋊C₄×D₁₃	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	#88132	—	2	1	no	—
378	#88132	—	2	1	no	—
379	#88131	—	2	1	no	—
380	#88131	—	2	1	no	—
381	#88131	—	2	1	no	—
382	#88131	—	2	1	no	—
383	#88131	—	2	1	no	—
384	C₄×D₅₂	—	2	1	no	—
385	C₄×D₅₂	—	2	1	no	—
386	C₄×D₅₂	—	2	1	no	—
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	—	2	1	no	—
389	C₄×D₅₂	—	2	1	no	—
390	#88126	—	2	1	no	—
391	#88126	—	2	1	no	—
392	#88126	—	2	1	no	—
393	#88126	—	2	1	no	—
394	#88126	—	2	1	no	—
395	C₄²×D₁₃	—	2	1	no	—
396	C₄²×D₁₃	—	2	1	no	—
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	—	2	1	no	—
400	C₄×Dic₂₆	—	2	1	no	—
401	C₄×Dic₂₆	—	2	1	no	—
402	C₄×Dic₂₆	—	2	1	no	—
403	C₄×Dic₂₆	—	2	1	no	—
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#106	C₂³	1	1	yes	characteristic
409	C₁₃×#106	C₂³	1	1	yes	characteristic
410	C₁₃×#106	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×#103	C₂³	1	1	yes	characteristic
413	C₁₃×#103	C₂³	1	1	yes	characteristic
414	C₁₃×#103	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#102	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	C₂²⋊#1055	C₂³	1	1	yes	characteristic
433	C₂²⋊#1055	C₂³	1	1	yes	characteristic
434	C₂²⋊#1055	C₂³	1	1	yes	characteristic
435	C₂²⋊#1055	C₂³	1	1	yes	characteristic
436	#88061	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88060	C₂³	1	1	yes	characteristic
441	#88060	C₂³	1	1	yes	characteristic
442	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88058	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88057	C₂³	1	1	yes	characteristic
454	#88057	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88056	C₂³	1	1	yes	characteristic
457	#88056	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88050	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88048	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#60516	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
488	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
489	C₁₃×#41	—	2	2	no	—
490	C₁₃×#41	—	2	2	no	—
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	—	2	2	no	—
497	C₂²×C₄×C₁₃	—	2	2	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×C₂²⋊D₁₃	—	2	4	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	4	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
529	#6131	—	2	2	no	—
530	#6131	—	2	2	no	—
531	Q₈×D₁₃	—	2	2	no	—
532	Q₈×D₁₃	—	2	2	no	—
533	#6129	—	2	2	no	—
534	#6129	—	2	2	no	—
535	#6129	—	4	4	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	2	2	no	—
538	D₄×D₁₃	—	4	4	no	—
539	#6127	—	2	4	no	—
540	#6127	—	2	4	no	—
541	#6127	—	2	4	no	—
542	#6127	—	2	4	no	—
543	#6127	—	2	2	no	—
544	#6127	—	2	2	no	—
545	#6127	—	2	2	no	—
546	#6127	—	2	2	no	—
547	#6127	—	2	2	no	—
548	#6127	—	2	2	no	—
549	#6127	—	2	2	no	—
550	#6127	—	2	2	no	—
551	#6127	—	2	2	no	—
552	#6127	—	2	2	no	—
553	#6127	—	4	4	no	—
554	C₂×D₅₂	—	2	4	no	—
555	C₂×D₅₂	—	2	1	no	—
556	C₂×D₅₂	—	2	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
559	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
560	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
561	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
562	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₁₃	—	2	2	no	—
564	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	4	4	no	—
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	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	#41	1	4	yes	—
584	C₂×C₄×D₁₃	#41	1	4	yes	—
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₂₆	—	2	4	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
592	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
593	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
594	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
595	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₃	—	2	2	no	—
597	C₂×C₈×C₁₃	—	2	2	no	—
598	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₄²×C₁₃	—	2	1	no	—
622	C₄²×C₁₃	—	2	1	no	—
623	C₄²×C₁₃	—	2	1	no	—
624	C₄²×C₁₃	—	2	1	no	—
625	C₄²×C₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	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	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	—	2	1	no	—
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	—	2	1	no	—
690	C₄×Dic₁₃	—	2	1	no	—
691	C₄×Dic₁₃	—	2	1	no	—
692	C₂×#1055	—	2	2	no	—
693	C₂×#1055	—	2	2	no	—
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	C₂×#1055	C₂⁴	1	1	yes	characteristic
697	C₂×#1055	C₂⁴	1	1	yes	characteristic
698	#6094	—	2	2	no	—
699	#6094	—	2	2	no	—
700	#6094	—	2	2	no	—
701	#6094	—	2	2	no	—
702	C₈×D₁₃	—	2	2	no	—
703	C₈×D₁₃	—	2	2	no	—
704	C₈×D₁₃	—	2	2	no	—
705	C₈×D₁₃	—	2	2	no	—
706	#3449	—	13	1	no	—
707	#3428	—	13	1	no	—
708	#3099	—	13	1	no	—
709	#3099	—	13	1	no	—
710	#3099	—	13	1	no	—
711	#3099	—	13	1	no	—
712	#3098	—	13	1	no	—
713	#3098	—	13	1	no	—
714	#3098	—	13	1	no	—
715	#3098	—	13	1	no	—
716	#3097	—	13	1	no	—
717	#3097	—	13	1	no	—
718	#3097	—	13	1	no	—
719	#3097	—	13	1	no	—
720	#3096	—	13	1	no	—
721	#3096	—	13	1	no	—
722	#3096	—	13	1	no	—
723	#3096	—	13	1	no	—
724	#3091	—	13	1	no	—
725	#3091	—	13	1	no	—
726	#3091	—	13	1	no	—
727	#3091	—	13	1	no	—
728	#3091	—	13	1	no	—
729	#3091	—	13	1	no	—
730	#3091	—	13	1	no	—
731	#3091	D₁₃	1	1	yes	characteristic, complemented
732	#2911	—	13	1	no	—
733	C₂×#427	—	13	1	no	—
734	#2896	—	13	1	no	—
735	C₂×#416	—	13	1	no	—
736	C₂×#408	—	13	1	no	—
737	C₂³×C₁₃	—	2	2	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	4	1	no	—
740	C₂³×C₁₃	—	4	1	no	—
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
743	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
744	C₂²×D₁₃	—	2	2	no	—
745	C₂²×D₁₃	—	2	1	no	—
746	C₂²×D₁₃	—	4	1	no	—
747	C₂²×D₁₃	—	4	1	no	—
748	C₂²×D₁₃	—	4	1	no	—
749	C₂²×D₁₃	—	4	1	no	—
750	C₂²×D₁₃	—	4	2	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	C₂²×D₁₃	—	8	1	no	—
753	C₂²×D₁₃	#123	1	4	yes	—
754	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	4	2	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	C₂×C₄×C₁₃	—	2	2	no	—
766	C₂×C₄×C₁₃	—	2	2	no	—
767	C₂×C₄×C₁₃	—	2	2	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	8	1	no	—
781	C₂×C₄×C₁₃	—	8	1	no	—
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
786	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
787	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
788	C₂²⋊D₁₃	—	2	2	no	—
789	C₂²⋊D₁₃	—	2	2	no	—
790	C₂²⋊D₁₃	—	2	2	no	—
791	C₂²⋊D₁₃	—	2	2	no	—
792	C₂²⋊D₁₃	—	2	2	no	—
793	C₂²⋊D₁₃	—	2	2	no	—
794	C₂²⋊D₁₃	—	2	2	no	—
795	C₂²⋊D₁₃	—	2	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	4	2	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	8	1	no	—
800	C₂²⋊D₁₃	—	8	1	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂×Dic₁₃	—	2	2	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	4	2	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	C₂×Dic₁₃	#123	1	4	yes	—
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	D₅₂	—	2	2	no	—
820	D₅₂	—	2	2	no	—
821	D₅₂	—	2	2	no	—
822	D₅₂	—	2	2	no	—
823	D₅₂	—	2	1	no	—
824	D₅₂	—	2	1	no	—
825	D₅₂	—	4	2	no	—
826	D₅₂	—	8	1	no	—
827	D₅₂	—	8	1	no	—
828	C₄×D₁₃	—	2	2	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	2	1	no	—
831	C₄×D₁₃	—	2	1	no	—
832	C₄×D₁₃	—	2	1	no	—
833	C₄×D₁₃	—	2	1	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	—	8	1	no	—
846	C₄×D₁₃	—	8	1	no	—
847	C₄×D₁₃	#123	1	4	yes	—
848	C₄×D₁₃	#123	1	4	yes	—
849	C₄×D₁₃	C₂×#41	1	2	yes	—
850	C₄×D₁₃	C₂×#41	1	2	yes	—
851	C₄×D₁₃	C₂×#41	1	2	yes	—
852	C₄×D₁₃	C₂×#41	1	2	yes	—
853	Dic₂₆	—	2	2	no	—
854	Dic₂₆	—	2	2	no	—
855	Dic₂₆	—	2	2	no	—
856	Dic₂₆	—	2	2	no	—
857	Dic₂₆	—	2	1	no	—
858	Dic₂₆	—	2	1	no	—
859	Dic₂₆	—	4	2	no	—
860	C₈×C₁₃	—	2	1	no	—
861	C₈×C₁₃	—	2	1	no	—
862	C₈×C₁₃	—	2	1	no	—
863	C₈×C₁₃	—	2	1	no	—
864	#1055	—	2	1	no	—
865	#1055	—	2	1	no	—
866	#1055	—	2	1	no	—
867	#1055	—	2	1	no	—
868	C₂²×#41	—	13	1	no	—
869	C₂²×#41	—	13	1	no	—
870	C₂²×M₁₆	—	13	1	no	—
871	C₂³×C₈	—	13	1	no	—
872	#537	—	13	1	no	—
873	#537	—	13	1	no	—
874	#537	—	13	1	no	—
875	#537	—	13	1	no	—
876	#536	—	13	1	no	—
877	#536	—	13	1	no	—
878	#536	—	26	1	no	—
879	#535	—	13	1	no	—
880	#535	—	13	1	no	—
881	#535	—	26	1	no	—
882	#534	—	26	1	no	—
883	#534	—	26	1	no	—
884	#532	—	26	1	no	—
885	#532	—	26	1	no	—
886	#525	—	13	1	no	—
887	#525	—	13	1	no	—
888	#525	—	13	1	no	—
889	#525	—	26	1	no	—
890	#525	—	26	1	no	—
891	#525	C₂×D₁₃	1	1	yes	characteristic
892	#520	—	13	1	no	—
893	#520	—	13	1	no	—
894	#520	—	13	1	no	—
895	#520	—	13	1	no	—
896	#520	—	13	1	no	—
897	#520	—	13	1	no	—
898	#520	—	13	1	no	—
899	#520	—	13	1	no	—
900	#519	—	26	1	no	—
901	#518	—	26	1	no	—
902	#518	—	26	1	no	—
903	#518	—	26	1	no	—
904	C₄×#41	—	26	1	no	—
905	C₄×#41	—	26	1	no	—
906	C₄×#41	—	26	1	no	—
907	C₄×#41	—	26	1	no	—
908	C₂×#117	—	13	1	no	—
909	C₂×#117	—	13	1	no	—
910	C₂×#117	—	13	1	no	—
911	C₂×#117	—	13	1	no	—
912	C₂×#117	—	13	1	no	—
913	C₂×#117	—	13	1	no	—
914	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
915	#485	—	13	1	no	—
916	#485	—	13	1	no	—
917	#485	—	13	1	no	—
918	#485	—	13	1	no	—
919	#485	—	13	1	no	—
920	#485	—	13	1	no	—
921	#485	—	13	1	no	—
922	#485	—	13	1	no	—
923	#485	—	13	1	no	—
924	#485	—	13	1	no	—
925	#485	—	13	1	no	—
926	#485	—	13	1	no	—
927	#485	—	13	1	no	—
928	#485	—	13	1	no	—
929	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
931	#484	—	13	1	no	—
932	#484	—	13	1	no	—
933	#484	—	13	1	no	—
934	#484	—	13	1	no	—
935	#484	—	13	1	no	—
936	#484	—	13	1	no	—
937	#484	—	13	1	no	—
938	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#483	—	13	1	no	—
940	#483	—	13	1	no	—
941	#483	—	13	1	no	—
942	#483	—	13	1	no	—
943	#483	—	13	1	no	—
944	#483	—	13	1	no	—
945	#483	—	13	1	no	—
946	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#482	—	13	1	no	—
948	#482	—	13	1	no	—
949	#482	—	13	1	no	—
950	#482	—	13	1	no	—
951	#482	—	13	1	no	—
952	#482	—	13	1	no	—
953	#482	—	13	1	no	—
954	#482	—	13	1	no	—
955	#482	—	13	1	no	—
956	#482	—	13	1	no	—
957	#482	—	13	1	no	—
958	#482	—	13	1	no	—
959	#482	—	13	1	no	—
960	#482	—	13	1	no	—
961	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
962	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
963	#481	—	13	1	no	—
964	#481	—	13	1	no	—
965	#481	—	13	1	no	—
966	#481	—	13	1	no	—
967	#481	—	13	1	no	—
968	#481	—	13	1	no	—
969	#481	—	13	1	no	—
970	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
971	#480	—	13	1	no	—
972	#480	—	13	1	no	—
973	#480	—	13	1	no	—
974	#480	—	13	1	no	—
975	#480	—	13	1	no	—
976	#480	—	13	1	no	—
977	#480	—	13	1	no	—
978	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#428	—	13	1	no	—
980	#428	—	13	1	no	—
981	#428	—	13	1	no	—
982	#428	—	13	1	no	—
983	#428	—	13	1	no	—
984	#428	—	13	1	no	—
985	#428	—	13	1	no	—
986	#428	—	13	1	no	—
987	#427	—	13	1	no	—
988	#427	—	13	1	no	—
989	#427	—	13	1	no	—
990	#427	—	13	1	no	—
991	#427	—	13	1	no	—
992	#427	—	13	1	no	—
993	#427	—	13	1	no	—
994	#427	—	13	1	no	—
995	#427	—	13	1	no	—
996	#427	—	13	1	no	—
997	#427	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#427	C₂×D₁₃	1	1	yes	characteristic, complemented
999	C₂×#107	—	13	1	no	—
1000	C₂×#107	—	13	1	no	—
1001	C₂×#106	—	13	1	no	—
1002	C₂×#106	—	13	1	no	—
1003	#419	—	13	1	no	—
1004	#419	—	13	1	no	—
1005	#418	—	13	1	no	—
1006	#418	—	13	1	no	—
1007	#417	—	13	1	no	—
1008	#417	—	13	1	no	—
1009	#417	—	13	1	no	—
1010	#417	—	13	1	no	—
1011	#416	—	13	1	no	—
1012	#416	—	13	1	no	—
1013	#416	—	13	1	no	—
1014	#416	—	13	1	no	—
1015	#416	—	13	1	no	—
1016	#416	—	13	1	no	—
1017	#416	—	13	1	no	—
1018	#416	—	13	1	no	—
1019	#416	—	13	1	no	—
1020	#416	—	13	1	no	—
1021	#416	C₂×D₁₃	1	1	yes	characteristic
1022	#416	C₂×D₁₃	1	1	yes	characteristic
1023	C₂×#103	—	13	1	no	—
1024	C₂×#103	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	C₂×#102	—	13	1	no	—
1027	#408	—	13	1	no	—
1028	#408	—	13	1	no	—
1029	#408	—	13	1	no	—
1030	#408	—	13	1	no	—
1031	#408	—	13	1	no	—
1032	#408	—	13	1	no	—
1033	#408	—	13	1	no	—
1034	#408	—	13	1	no	—
1035	C₂×C₂²⋊C₈	—	13	1	no	—
1036	C₂×C₂²⋊C₈	—	13	1	no	—
1037	C₂×C₂²⋊C₈	—	13	1	no	—
1038	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	C₂²×C₁₃	—	2	1	no	—
1040	C₂²×C₁₃	—	2	1	no	—
1041	C₂²×C₁₃	—	2	1	no	—
1042	C₂²×C₁₃	—	2	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	8	2	no	—
1051	C₂²×C₁₃	C₂×#123	1	2	yes	—
1052	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	2	1	no	—
1057	C₂×D₁₃	—	2	1	no	—
1058	C₂×D₁₃	—	2	1	no	—
1059	C₂×D₁₃	—	2	1	no	—
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	4	4	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	8	4	no	—
1068	C₂×D₁₃	—	8	2	no	—
1069	C₂×D₁₃	C₂×#123	1	2	yes	—
1070	C₂×D₁₃	C₂×#123	1	2	yes	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	—	4	1	no	—
1078	C₄×C₁₃	—	4	1	no	—
1079	C₄×C₁₃	—	4	1	no	—
1080	C₄×C₁₃	C₂×#123	1	2	yes	—
1081	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1082	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1083	Dic₁₃	—	2	1	no	—
1084	Dic₁₃	—	2	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	—	4	1	no	—
1087	Dic₁₃	—	4	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	—	4	1	no	—
1090	Dic₁₃	—	4	1	no	—
1091	Dic₁₃	—	4	1	no	—
1092	Dic₁₃	C₂×#123	1	2	yes	—
1093	Dic₁₃	C₂×#123	1	2	yes	—
1094	C₂×#41	—	13	1	no	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	13	1	no	—
1097	C₂×#41	—	13	1	no	—
1098	C₂×#41	—	13	1	no	—
1099	C₂×#41	—	13	1	no	—
1100	C₂×#41	—	13	1	no	—
1101	C₂×#41	—	13	1	no	—
1102	C₂×#41	—	13	1	no	—
1103	C₂×#41	—	13	1	no	—
1104	C₂×#41	—	13	1	no	—
1105	C₂×#41	—	26	4	no	—
1106	C₂×#41	—	26	4	no	—
1107	C₂×#41	—	26	1	no	—
1108	C₂×#41	—	26	1	no	—
1109	C₂×#41	—	26	4	no	—
1110	C₂×#41	—	26	4	no	—
1111	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1112	C₂²×Q₈	—	13	1	no	—
1113	C₂²×Q₈	—	13	1	no	—
1114	C₂²×D₄	—	13	1	no	—
1115	C₂²×D₄	—	13	1	no	—
1116	C₂²×D₄	—	13	1	no	—
1117	C₂²×D₄	—	13	1	no	—
1118	C₂²×D₄	—	26	1	no	—
1119	C₂³×C₄	—	13	1	no	—
1120	C₂³×C₄	—	13	1	no	—
1121	C₂³×C₄	—	26	1	no	—
1122	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×M₁₆	—	13	1	no	—
1124	C₂×M₁₆	—	13	1	no	—
1125	C₂×M₁₆	—	13	1	no	—
1126	C₂×M₁₆	—	13	1	no	—
1127	C₂×M₁₆	—	26	4	no	—
1128	C₂²×C₈	—	13	1	no	—
1129	C₂²×C₈	—	13	1	no	—
1130	C₂²×C₈	—	13	1	no	—
1131	C₂²×C₈	—	13	1	no	—
1132	C₂²×C₈	—	13	1	no	—
1133	C₂²×C₈	—	13	1	no	—
1134	C₂²×C₈	—	26	4	no	—
1135	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1137	C₄⋊Q₈	—	26	1	no	—
1138	C₄⋊Q₈	—	26	1	no	—
1139	#127	—	26	1	no	—
1140	#127	—	26	1	no	—
1141	#124	—	26	1	no	—
1142	#124	—	26	1	no	—
1143	#124	—	26	1	no	—
1144	#124	—	26	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	26	1	no	—
1147	#123	—	26	1	no	—
1148	#123	—	26	1	no	—
1149	#123	—	26	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	C₂²⋊Q₈	—	13	1	no	—
1154	C₂²⋊Q₈	—	13	1	no	—
1155	C₂²⋊Q₈	—	13	1	no	—
1156	C₂²⋊Q₈	—	13	1	no	—
1157	C₂²⋊Q₈	—	13	1	no	—
1158	C₂²⋊Q₈	—	13	1	no	—
1159	C₂²⋊Q₈	—	26	1	no	—
1160	C₂²⋊Q₈	—	26	1	no	—
1161	C₂²⋊Q₈	—	26	1	no	—
1162	C₂²⋊Q₈	—	26	1	no	—
1163	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	—	13	1	no	—
1168	#121	—	13	1	no	—
1169	#121	—	13	1	no	—
1170	#121	—	13	1	no	—
1171	#121	—	26	1	no	—
1172	#121	—	26	1	no	—
1173	#121	—	26	1	no	—
1174	#121	—	26	1	no	—
1175	#121	—	26	1	no	—
1176	#121	—	26	1	no	—
1177	#121	—	26	1	no	—
1178	#121	—	26	1	no	—
1179	#121	—	26	1	no	—
1180	#121	—	26	1	no	—
1181	#121	—	26	1	no	—
1182	#121	—	26	1	no	—
1183	#121	C₂²×D₁₃	1	1	yes	characteristic
1184	#121	C₂²×D₁₃	1	1	yes	characteristic
1185	#120	—	2	1	no	—
1186	#120	—	26	1	no	—
1187	#120	—	26	1	no	—
1188	#120	—	26	1	no	—
1189	#120	—	26	1	no	—
1190	#120	—	26	1	no	—
1191	#120	—	26	1	no	—
1192	#120	—	26	1	no	—
1193	C₄×Q₈	—	26	1	no	—
1194	C₄×Q₈	—	26	1	no	—
1195	C₄×Q₈	—	26	1	no	—
1196	C₄×Q₈	—	26	1	no	—
1197	C₄×Q₈	—	26	1	no	—
1198	C₄×Q₈	—	26	1	no	—
1199	C₄×Q₈	—	26	1	no	—
1200	C₄×Q₈	—	26	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
1227	C₄×D₄	—	26	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	13	1	no	—
1236	#117	—	13	1	no	—
1237	#117	—	13	1	no	—
1238	#117	—	13	1	no	—
1239	#117	—	13	1	no	—
1240	#117	—	13	1	no	—
1241	#117	—	13	1	no	—
1242	#117	—	13	1	no	—
1243	#117	—	13	1	no	—
1244	#117	—	13	1	no	—
1245	#117	—	13	1	no	—
1246	#117	—	13	1	no	—
1247	#117	—	13	1	no	—
1248	#117	—	13	1	no	—
1249	#117	—	13	1	no	—
1250	#117	—	26	1	no	—
1251	#117	—	26	1	no	—
1252	#117	—	26	1	no	—
1253	#117	—	26	1	no	—
1254	#117	—	26	1	no	—
1255	#117	—	26	1	no	—
1256	#117	—	26	1	no	—
1257	#117	—	26	1	no	—
1258	#117	—	26	1	no	—
1259	#117	—	26	1	no	—
1260	#117	—	26	1	no	—
1261	#117	—	26	1	no	—
1262	#117	C₂²×D₁₃	1	1	yes	characteristic
1263	#117	C₂²×D₁₃	1	1	yes	characteristic
1264	#117	C₂²×D₁₃	1	1	yes	characteristic
1265	#117	C₂²×D₁₃	1	1	yes	characteristic
1266	#117	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	—	13	1	no	—
1268	C₂×C₄⋊C₄	—	13	1	no	—
1269	C₂×C₄⋊C₄	—	13	1	no	—
1270	C₂×C₄⋊C₄	—	13	1	no	—
1271	C₂×C₄⋊C₄	—	13	1	no	—
1272	C₂×C₄⋊C₄	—	13	1	no	—
1273	C₂×C₄⋊C₄	—	13	1	no	—
1274	C₂×C₄⋊C₄	—	13	1	no	—
1275	C₂×C₄⋊C₄	—	13	1	no	—
1276	C₂×C₄⋊C₄	—	13	1	no	—
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1280	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	—	2	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₂²⋊C₄	—	26	1	no	—
1284	C₂×C₂²⋊C₄	—	26	1	no	—
1285	C₂×C₂²⋊C₄	—	26	1	no	—
1286	C₂×C₂²⋊C₄	—	26	1	no	—
1287	C₂×C₂²⋊C₄	—	26	1	no	—
1288	C₂×C₄²	—	2	1	no	—
1289	C₂×C₄²	—	26	1	no	—
1290	C₂×C₄²	—	26	1	no	—
1291	C₂×C₄²	—	26	1	no	—
1292	C₂×C₄²	—	26	1	no	—
1293	C₂×C₄²	—	26	1	no	—
1294	C₂×C₄²	—	26	1	no	—
1295	#107	—	13	1	no	—
1296	#107	—	13	1	no	—
1297	#107	—	13	1	no	—
1298	#107	—	13	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	—	13	1	no	—
1302	#107	—	13	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	C₂²×D₁₃	1	1	yes	characteristic
1308	#107	C₂²×D₁₃	1	1	yes	characteristic
1309	#107	C₂²×D₁₃	1	1	yes	characteristic
1310	#107	C₂²×D₁₃	1	1	yes	characteristic
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	—	13	1	no	—
1314	#106	—	13	1	no	—
1315	#106	—	13	1	no	—
1316	#106	—	13	1	no	—
1317	#106	—	13	1	no	—
1318	#106	—	13	1	no	—
1319	#106	—	13	1	no	—
1320	#106	—	13	1	no	—
1321	#106	—	13	1	no	—
1322	#106	—	13	1	no	—
1323	#106	C₂²×D₁₃	1	1	yes	characteristic
1324	#106	C₂²×D₁₃	1	1	yes	characteristic
1325	#106	C₂²×D₁₃	1	1	yes	characteristic
1326	#106	C₂²×D₁₃	1	1	yes	characteristic
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	C₂²×D₁₃	1	1	yes	characteristic
1340	#103	C₂²×D₁₃	1	1	yes	characteristic
1341	#103	C₂²×D₁₃	1	1	yes	characteristic
1342	#103	C₂²×D₁₃	1	1	yes	characteristic
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	C₂²×D₁₃	1	1	yes	characteristic
1356	#102	C₂²×D₁₃	1	1	yes	characteristic
1357	#102	C₂²×D₁₃	1	1	yes	characteristic
1358	#102	C₂²×D₁₃	1	1	yes	characteristic
1359	C₂²⋊C₈	—	13	1	no	—
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	—	13	1	no	—
1366	C₂²⋊C₈	—	13	1	no	—
1367	C₂²⋊C₈	—	13	1	no	—
1368	C₂²⋊C₈	—	13	1	no	—
1369	C₂²⋊C₈	—	13	1	no	—
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1373	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂×C₁₃	—	2	2	no	—
1376	C₂×C₁₃	—	4	1	no	—
1377	C₂×C₁₃	—	4	1	no	—
1378	C₂×C₁₃	—	8	1	no	—
1379	C₂×C₁₃	C₂²×#123	1	1	yes	characteristic
1380	C₂×C₁₃	#3584	1	1	yes	characteristic
1381	C₂×C₁₃	#3584	1	1	yes	characteristic
1382	D₁₃	—	2	2	no	—
1383	D₁₃	—	2	2	no	—
1384	D₁₃	—	4	1	no	—
1385	D₁₃	—	4	1	no	—
1386	D₁₃	—	8	1	no	—
1387	C₂⁴	—	13	1	no	—
1388	C₂⁴	—	13	1	no	—
1389	C₂⁴	—	26	1	no	—
1390	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1391	#41	—	2	2	no	—
1392	#41	—	2	2	no	—
1393	#41	—	26	4	no	—
1394	#41	—	26	4	no	—
1395	#41	—	26	4	no	—
1396	#41	—	26	4	no	—
1397	#41	—	26	2	no	—
1398	#41	—	26	2	no	—
1399	#41	—	26	2	no	—
1400	#41	—	26	2	no	—
1401	#41	—	26	2	no	—
1402	#41	—	26	2	no	—
1403	#41	—	26	2	no	—
1404	#41	—	26	2	no	—
1405	#41	—	26	2	no	—
1406	#41	—	26	2	no	—
1407	#41	—	26	2	no	—
1408	#41	—	26	2	no	—
1409	#41	—	26	2	no	—
1410	#41	—	26	2	no	—
1411	#41	—	52	4	no	—
1412	#41	—	52	4	no	—
1413	C₂×Q₈	—	13	1	no	—
1414	C₂×Q₈	—	13	1	no	—
1415	C₂×Q₈	—	13	1	no	—
1416	C₂×Q₈	—	13	1	no	—
1417	C₂×Q₈	—	13	1	no	—
1418	C₂×Q₈	—	26	4	no	—
1419	C₂×Q₈	—	26	1	no	—
1420	C₂×Q₈	—	26	2	no	—
1421	C₂×Q₈	—	26	2	no	—
1422	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	13	1	no	—
1427	C₂×D₄	—	13	1	no	—
1428	C₂×D₄	—	13	1	no	—
1429	C₂×D₄	—	13	1	no	—
1430	C₂×D₄	—	13	1	no	—
1431	C₂×D₄	—	13	1	no	—
1432	C₂×D₄	—	13	1	no	—
1433	C₂×D₄	—	13	1	no	—
1434	C₂×D₄	—	13	1	no	—
1435	C₂×D₄	—	13	1	no	—
1436	C₂×D₄	—	13	1	no	—
1437	C₂×D₄	—	13	1	no	—
1438	C₂×D₄	—	13	1	no	—
1439	C₂×D₄	—	26	4	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	2	no	—
1444	C₂×D₄	—	26	2	no	—
1445	C₂×D₄	—	26	4	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	4	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	52	4	no	—
1455	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1456	C₂²×C₄	—	2	2	no	—
1457	C₂²×C₄	—	2	2	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	13	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	13	4	no	—
1465	C₂²×C₄	—	13	4	no	—
1466	C₂²×C₄	—	13	1	no	—
1467	C₂²×C₄	—	13	1	no	—
1468	C₂²×C₄	—	13	1	no	—
1469	C₂²×C₄	—	13	1	no	—
1470	C₂²×C₄	—	13	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	2	no	—
1487	C₂²×C₄	—	26	2	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	52	4	no	—
1492	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1493	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1494	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1495	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1498	M₁₆	—	26	2	no	—
1499	M₁₆	—	26	2	no	—
1500	M₁₆	—	26	2	no	—
1501	M₁₆	—	26	2	no	—
1502	C₂×C₈	—	2	2	no	—
1503	C₂×C₈	—	2	2	no	—
1504	C₂×C₈	—	13	1	no	—
1505	C₂×C₈	—	13	1	no	—
1506	C₂×C₈	—	13	1	no	—
1507	C₂×C₈	—	13	1	no	—
1508	C₂×C₈	—	26	2	no	—
1509	C₂×C₈	—	26	2	no	—
1510	C₂×C₈	—	26	2	no	—
1511	C₂×C₈	—	26	2	no	—
1512	C₂×C₈	—	26	2	no	—
1513	C₂×C₈	—	26	2	no	—
1514	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1515	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1516	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1517	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	1	no	—
1524	C₄⋊C₄	—	13	1	no	—
1525	C₄⋊C₄	—	13	1	no	—
1526	C₄⋊C₄	—	13	1	no	—
1527	C₄⋊C₄	—	13	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	2	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	—	26	1	no	—
1595	C₄²	—	26	1	no	—
1596	C₄²	—	26	1	no	—
1597	C₄²	—	26	1	no	—
1598	C₄²	—	26	1	no	—
1599	C₄²	—	26	1	no	—
1600	C₄²	—	26	1	no	—
1601	C₄²	—	26	1	no	—
1602	C₄²	—	26	1	no	—
1603	C₄²	—	26	1	no	—
1604	C₄²	—	26	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₁₃	#60516	1	1	yes	characteristic, complemented, Sylow
1609	C₂³	—	2	2	no	—
1610	C₂³	—	2	1	no	—
1611	C₂³	—	4	1	no	—
1612	C₂³	—	4	1	no	—
1613	C₂³	—	13	1	no	—
1614	C₂³	—	13	1	no	—
1615	C₂³	—	13	4	no	—
1616	C₂³	—	13	1	no	—
1617	C₂³	—	13	1	no	—
1618	C₂³	—	26	2	no	—
1619	C₂³	—	26	1	no	—
1620	C₂³	—	52	1	no	—
1621	C₂³	—	52	1	no	—
1622	C₂³	—	52	1	no	—
1623	C₂³	—	52	1	no	—
1624	C₂³	—	52	2	no	—
1625	C₂³	—	104	1	no	—
1626	C₂³	—	104	1	no	—
1627	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1628	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1630	Q₈	—	2	1	no	—
1631	Q₈	—	2	1	no	—
1632	Q₈	—	26	2	no	—
1633	Q₈	—	26	2	no	—
1634	Q₈	—	26	2	no	—
1635	Q₈	—	26	2	no	—
1636	Q₈	—	26	1	no	—
1637	Q₈	—	26	1	no	—
1638	Q₈	—	52	2	no	—
1639	D₄	—	2	1	no	—
1640	D₄	—	2	1	no	—
1641	D₄	—	4	2	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	26	2	no	—
1645	D₄	—	26	2	no	—
1646	D₄	—	26	2	no	—
1647	D₄	—	26	2	no	—
1648	D₄	—	26	2	no	—
1649	D₄	—	26	2	no	—
1650	D₄	—	26	2	no	—
1651	D₄	—	26	2	no	—
1652	D₄	—	26	2	no	—
1653	D₄	—	26	2	no	—
1654	D₄	—	26	2	no	—
1655	D₄	—	26	2	no	—
1656	D₄	—	26	1	no	—
1657	D₄	—	26	1	no	—
1658	D₄	—	52	2	no	—
1659	D₄	—	52	2	no	—
1660	D₄	—	52	2	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	104	1	no	—
1663	D₄	—	104	1	no	—
1664	D₄	—	104	1	no	—
1665	D₄	—	104	1	no	—
1666	D₄	—	104	1	no	—
1667	D₄	—	104	1	no	—
1668	C₂×C₄	—	2	2	no	—
1669	C₂×C₄	—	2	2	no	—
1670	C₂×C₄	—	2	2	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	13	4	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	4	no	—
1689	C₂×C₄	—	13	4	no	—
1690	C₂×C₄	—	13	2	no	—
1691	C₂×C₄	—	13	2	no	—
1692	C₂×C₄	—	13	2	no	—
1693	C₂×C₄	—	13	2	no	—
1694	C₂×C₄	—	13	1	no	—
1695	C₂×C₄	—	13	1	no	—
1696	C₂×C₄	—	26	2	no	—
1697	C₂×C₄	—	26	2	no	—
1698	C₂×C₄	—	26	2	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	26	1	no	—
1701	C₂×C₄	—	26	1	no	—
1702	C₂×C₄	—	26	1	no	—
1703	C₂×C₄	—	26	1	no	—
1704	C₂×C₄	—	26	1	no	—
1705	C₂×C₄	—	26	1	no	—
1706	C₂×C₄	—	26	1	no	—
1707	C₂×C₄	—	26	1	no	—
1708	C₂×C₄	—	26	1	no	—
1709	C₂×C₄	—	26	1	no	—
1710	C₂×C₄	—	52	2	no	—
1711	C₂×C₄	—	52	2	no	—
1712	C₂×C₄	—	52	2	no	—
1713	C₂×C₄	—	52	2	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	—	104	1	no	—
1718	C₂×C₄	—	104	1	no	—
1719	C₂×C₄	—	104	1	no	—
1720	C₂×C₄	—	104	1	no	—
1721	C₂×C₄	—	104	1	no	—
1722	C₂×C₄	—	104	1	no	—
1723	C₂×C₄	—	104	1	no	—
1724	C₂×C₄	—	104	1	no	—
1725	C₂×C₄	—	104	1	no	—
1726	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1728	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1729	C₂×C₄	#41×D₁₃	1	2	yes	—
1730	C₂×C₄	#41×D₁₃	1	2	yes	—
1731	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	2	1	no	—
1735	C₈	—	2	1	no	—
1736	C₈	—	26	1	no	—
1737	C₈	—	26	1	no	—
1738	C₈	—	26	1	no	—
1739	C₈	—	26	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	8	2	no	—
1752	C₂²	—	13	2	no	—
1753	C₂²	—	13	2	no	—
1754	C₂²	—	26	1	no	—
1755	C₂²	—	26	1	no	—
1756	C₂²	—	26	1	no	—
1757	C₂²	—	26	1	no	—
1758	C₂²	—	26	1	no	—
1759	C₂²	—	26	1	no	—
1760	C₂²	—	26	1	no	—
1761	C₂²	—	26	1	no	—
1762	C₂²	—	26	1	no	—
1763	C₂²	—	26	1	no	—
1764	C₂²	—	52	4	no	—
1765	C₂²	—	52	1	no	—
1766	C₂²	—	52	1	no	—
1767	C₂²	—	52	1	no	—
1768	C₂²	—	104	2	no	—
1769	C₂²	—	104	4	no	—
1770	C₂²	D₁₃×#123	1	2	yes	—
1771	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	4	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	13	2	no	—
1782	C₄	—	13	2	no	—
1783	C₄	—	26	1	no	—
1784	C₄	—	26	1	no	—
1785	C₄	—	52	1	no	—
1786	C₄	—	52	1	no	—
1787	C₄	—	52	1	no	—
1788	C₄	—	52	1	no	—
1789	C₄	—	52	1	no	—
1790	C₄	—	52	1	no	—
1791	C₄	—	52	1	no	—
1792	C₄	D₁₃×#123	1	2	yes	—
1793	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1794	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1795	C₂	—	2	2	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	8	1	no	—
1799	C₂	—	26	2	no	—
1800	C₂	—	26	2	no	—
1801	C₂	—	52	1	no	—
1802	C₂	—	52	1	no	—
1803	C₂	—	104	1	no	—
1804	C₂	C₂×D₁₃×#123	1	1	yes	characteristic
1805	C₂	#13129605	1	1	yes	characteristic
1806	C₂	#13129609	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3091	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128166	C₂
hypercenter	#3091	D₁₃
hypocenter	C₁₃	#60516
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ #3091

Complements

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

N	H ≅ G/N	type
2. #13128037	C₂	semidirect
3. #13124828	C₂	semidirect
4. #13124826	C₂	semidirect
5. #13124822	C₂	semidirect
6. #13124820	C₂	semidirect
7. #13124817	C₂	semidirect
8. #13124815	C₂	semidirect
9. #13124811	C₂	semidirect
10. #13124809	C₂	semidirect
11. #13124804	C₂	semidirect
12. #13124802	C₂	semidirect
13. #13124800	C₂	semidirect
14. #13124798	C₂	semidirect
15. #13124793	C₂	semidirect
16. #13124791	C₂	semidirect
17. #13124789	C₂	semidirect
18. #13124787	C₂	semidirect
19. #13124753	C₂	semidirect
20. #13124753	C₂	semidirect
21. #13124751	C₂	semidirect
22. #13124749	C₂	semidirect
23. #13124747	C₂	semidirect
24. #13124747	C₂	semidirect
25. #13124745	C₂	semidirect
26. #13123424	C₂	semidirect
27. D₁₃×#427	C₂	semidirect
28. #13123351	C₂	semidirect
29. D₁₃×#416	C₂	semidirect
30. C₂×#11718388	C₂	semidirect
31. C₁₃×#3091	C₂	semidirect
35. C₂×C₁₃×#117	C₂²	semidirect
38. C₂×#88180	C₂²	semidirect
60. #11719228	C₂²	semidirect
61. #11719228	C₂²	semidirect
68. D₁₃×#117	C₂²	semidirect
69. D₁₃×#117	C₂²	semidirect
73. #11719209	C₂²	semidirect
74. #11719209	C₂²	semidirect
79. C₁₃×#485	C₂²	semidirect
80. C₁₃×#485	C₂²	semidirect
81. C₁₃×#484	C₂²	semidirect
82. C₁₃×#483	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#481	C₂²	semidirect
86. C₁₃×#480	C₂²	semidirect
87. C₁₃×#427	C₂²	semidirect
88. C₁₃×#427	C₂²	semidirect
91. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
94. C₂×C₂²⋊#1055	C₂²	semidirect
97. C₂×#88060	C₂²	semidirect
98. C₂×#88060	C₂²	semidirect
99. #11718767	C₂²	semidirect
100. #11718767	C₂²	semidirect
101. #11718706	C₂²	semidirect
102. #11718706	C₂²	semidirect
103. #11718705	C₂²	semidirect
104. #11718704	C₂²	semidirect
105. #11718696	C₂²	semidirect
106. #11718696	C₂²	semidirect
107. #11718695	C₂²	semidirect
108. #11718694	C₂²	semidirect
109. #11718664	C₂²	semidirect
110. #11718664	C₂²	semidirect
113. #11718659	C₂²	semidirect
114. #11718659	C₂²	semidirect
115. #11718659	C₂²	semidirect
116. #11718659	C₂²	semidirect
117. #11718657	C₂²	semidirect
118. #11718657	C₂²	semidirect
119. #11718632	C₂²	semidirect
120. #11718631	C₂²	semidirect
121. #11718629	C₂²	semidirect
122. #11718628	C₂²	semidirect
123. #11718549	C₂²	semidirect
124. #11718549	C₂²	semidirect
125. #11718546	C₂²	semidirect
126. #11718546	C₂²	semidirect
127. #11718545	C₂²	semidirect
128. #11718545	C₂²	semidirect
129. #11718543	C₂²	semidirect
130. #11718543	C₂²	semidirect
131. #11718542	C₂²	semidirect
132. #11718542	C₂²	semidirect
133. #11718542	C₂²	semidirect
134. #11718542	C₂²	semidirect
135. #11718541	C₂²	semidirect
136. #11718541	C₂²	semidirect
137. D₁₃×#107	C₂²	semidirect
138. D₁₃×#107	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718528	C₂²	semidirect
141. #11718527	C₂²	semidirect
142. #11718527	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718523	C₂²	semidirect
146. #11718523	C₂²	semidirect
147. #11718522	C₂²	semidirect
148. #11718522	C₂²	semidirect
149. #11718522	C₂²	semidirect
150. #11718522	C₂²	semidirect
151. #11718521	C₂²	semidirect
152. #11718521	C₂²	semidirect
153. D₁₃×#106	C₂²	semidirect
154. D₁₃×#106	C₂²	semidirect
155. #11718476	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718475	C₂²	semidirect
158. #11718475	C₂²	semidirect
159. #11718470	C₂²	semidirect
160. #11718470	C₂²	semidirect
161. #11718466	C₂²	semidirect
162. #11718466	C₂²	semidirect
163. #11718465	C₂²	semidirect
164. #11718465	C₂²	semidirect
165. #11718464	C₂²	semidirect
166. #11718464	C₂²	semidirect
167. #11718463	C₂²	semidirect
168. #11718463	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. D₁₃×#103	C₂²	semidirect
171. #11718445	C₂²	semidirect
172. #11718445	C₂²	semidirect
173. #11718440	C₂²	semidirect
174. #11718440	C₂²	semidirect
175. #11718438	C₂²	semidirect
176. #11718438	C₂²	semidirect
177. #11718435	C₂²	semidirect
178. #11718435	C₂²	semidirect
179. #11718433	C₂²	semidirect
180. #11718433	C₂²	semidirect
181. #11718432	C₂²	semidirect
182. #11718432	C₂²	semidirect
183. #11718431	C₂²	semidirect
184. #11718431	C₂²	semidirect
185. D₁₃×#102	C₂²	semidirect
186. D₁₃×#102	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
189. #11718397	C₂²	semidirect
190. #11718396	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718388	C₂²	semidirect
197. #11718388	C₂²	semidirect
198. #11718388	C₂²	semidirect
199. #11718384	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718383	C₂²	semidirect
202. #11718382	C₂²	semidirect
731. #3091	D₁₃	semidirect
914. C₂×#117	C₂×D₁₃	semidirect
929. #485	C₂×D₁₃	semidirect
930. #485	C₂×D₁₃	semidirect
938. #484	C₂×D₁₃	semidirect
946. #483	C₂×D₁₃	semidirect
961. #482	C₂×D₁₃	semidirect
962. #482	C₂×D₁₃	semidirect
970. #481	C₂×D₁₃	semidirect
978. #480	C₂×D₁₃	semidirect
997. #427	C₂×D₁₃	semidirect
998. #427	C₂×D₁₃	semidirect
1038. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
1608. C₁₃	#60516	semidirect

Maximal subgroups

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

subgroup	index
#13128166	2
#13128037	2
#13124828	2
#13124826	2
#13124822	2
#13124820	2
#13124817	2
#13124815	2
#13124811	2
#13124809	2
#13124804	2
#13124802	2
#13124800	2
#13124798	2
#13124793	2
#13124791	2
#13124789	2
#13124787	2
#13124753	2
#13124751	2
#13124749	2
#13124747	2
#13124745	2
#13123424	2
D₁₃×#427	2
#13123351	2
D₁₃×#416	2
C₂×#11718388	2
C₁₃×#3091	2
#60516	13