Subgroups — #16758130

Order 3328.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129162	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128943	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127927	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127875	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127603	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127570	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127077	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127045	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126991	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126981	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126861	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126835	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126466	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126454	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126425	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126380	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126330	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126329	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126273	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126247	C₂	1	1	yes	maximal, characteristic, complemented
21	#13126235	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125883	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125858	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125125	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125037	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124942	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124371	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124355	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124311	C₂	1	1	yes	maximal, characteristic, complemented
30	#13124001	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#535	C₂²	1	1	yes	characteristic
34	#11719539	C₂²	1	1	yes	characteristic
35	#11719534	C₂²	1	1	yes	characteristic
36	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
37	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88186	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
41	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
44	#11719439	C₂²	1	1	yes	characteristic, complemented
45	#11719426	C₂²	1	1	yes	characteristic, complemented
46	#11719424	C₂²	1	1	yes	characteristic
47	#11719423	C₂²	1	1	yes	characteristic
48	#11719422	C₂²	1	1	yes	characteristic
49	D₁₃×#127	C₂²	1	1	yes	characteristic
50	#11719414	—	2	1	no	—
51	#11719413	—	2	1	no	—
52	#11719386	—	2	1	no	—
53	#11719386	C₂²	1	1	yes	characteristic
54	#11719386	C₂²	1	1	yes	characteristic, complemented
55	#11719385	C₂²	1	1	yes	characteristic
56	#11719382	C₂²	1	1	yes	characteristic, complemented
57	#11719381	C₂²	1	1	yes	characteristic
58	#11719379	C₂²	1	1	yes	characteristic
59	#11719375	—	2	1	no	—
60	#11719368	—	2	1	no	—
61	#11719354	—	2	1	no	—
62	#11719347	C₂²	1	1	yes	characteristic, complemented
63	#11719345	—	2	1	no	—
64	#11719338	C₂²	1	1	yes	characteristic, complemented
65	#11719329	—	2	1	no	—
66	#11719325	—	2	1	no	—
67	#11719323	C₂²	1	1	yes	characteristic, complemented
68	#11719320	—	2	1	no	—
69	#11719315	—	2	1	no	—
70	#11719310	—	2	1	no	—
71	#11719304	C₂²	1	1	yes	characteristic, complemented
72	#11719300	—	2	1	no	—
73	#11719297	—	2	1	no	—
74	#11719295	—	2	1	no	—
75	#11719294	—	2	1	no	—
76	#11719285	C₂²	1	1	yes	characteristic, complemented
77	#11719277	C₂²	1	1	yes	characteristic, complemented
78	#11719267	C₂²	1	1	yes	characteristic, complemented
79	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
80	#11719240	C₂²	1	1	yes	characteristic
81	#11719233	C₂²	1	1	yes	characteristic
82	#11719228	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
96	#11718893	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
98	#11718850	C₂²	1	1	yes	characteristic, complemented
99	#11718846	C₂²	1	1	yes	characteristic, complemented
100	#11718846	C₂²	1	1	yes	characteristic, complemented
101	#11718837	C₂²	1	1	yes	characteristic
102	#11718837	C₂²	1	1	yes	characteristic, complemented
103	#11718837	C₂²	1	1	yes	characteristic, complemented
104	#11718835	C₂²	1	1	yes	characteristic
105	#11718834	C₂²	1	1	yes	characteristic, complemented
106	#11718833	C₂²	1	1	yes	characteristic, complemented
107	#11718831	C₂²	1	1	yes	characteristic, complemented
108	#11718831	C₂²	1	1	yes	characteristic, complemented
109	#11718830	C₂²	1	1	yes	characteristic, complemented
110	#11718830	C₂²	1	1	yes	characteristic, complemented
111	#11718826	C₂²	1	1	yes	characteristic, complemented
112	#11718825	C₂²	1	1	yes	characteristic, complemented
113	#11718825	C₂²	1	1	yes	characteristic, complemented
114	#11718824	C₂²	1	1	yes	characteristic, complemented
115	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
116	#11718820	C₂²	1	1	yes	characteristic, complemented
117	#11718819	C₂²	1	1	yes	characteristic
118	#11718818	C₂²	1	1	yes	characteristic, complemented
119	#11718817	C₂²	1	1	yes	characteristic, complemented
120	#11718813	C₂²	1	1	yes	characteristic, complemented
121	#11718812	C₂²	1	1	yes	characteristic, complemented
122	#11718811	C₂²	1	1	yes	characteristic
123	#11718811	C₂²	1	1	yes	characteristic, complemented
124	#11718811	C₂²	1	1	yes	characteristic, complemented
125	#11718811	C₂²	1	1	yes	characteristic, complemented
126	#11718748	C₂²	1	1	yes	characteristic, complemented
127	#11718745	C₂²	1	1	yes	characteristic, complemented
128	#11718736	C₂²	1	1	yes	characteristic, complemented
129	#11718736	C₂²	1	1	yes	characteristic, complemented
130	#11718733	C₂²	1	1	yes	characteristic, complemented
131	#11718733	C₂²	1	1	yes	characteristic, complemented
132	#11718718	C₂²	1	1	yes	characteristic, complemented
133	#11718718	C₂²	1	1	yes	characteristic, complemented
134	#11718718	C₂²	1	1	yes	characteristic, complemented
135	#11718718	C₂²	1	1	yes	characteristic, complemented
136	#11718715	C₂²	1	1	yes	characteristic, complemented
137	#11718715	C₂²	1	1	yes	characteristic, complemented
138	#11718710	C₂²	1	1	yes	characteristic, complemented
139	#11718709	C₂²	1	1	yes	characteristic, complemented
140	#11718700	C₂²	1	1	yes	characteristic, complemented
141	#11718699	C₂²	1	1	yes	characteristic, complemented
142	#11718688	C₂²	1	1	yes	characteristic, complemented
143	#11718683	C₂²	1	1	yes	characteristic, complemented
144	#11718676	C₂²	1	1	yes	characteristic, complemented
145	#11718670	C₂²	1	1	yes	characteristic, complemented
146	#11718660	C₂²	1	1	yes	characteristic, complemented
147	#11718509	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718504	C₂²	1	1	yes	characteristic, complemented
150	#11718501	C₂²	1	1	yes	characteristic, complemented
151	#11718500	C₂²	1	1	yes	characteristic, complemented
152	#11718498	C₂²	1	1	yes	characteristic, complemented
153	#11718496	C₂²	1	1	yes	characteristic, complemented
154	#11718490	C₂²	1	1	yes	characteristic, complemented
155	#11718476	C₂²	1	1	yes	characteristic, complemented
156	#11718473	C₂²	1	1	yes	characteristic, complemented
157	#11718472	C₂²	1	1	yes	characteristic, complemented
158	#11718465	C₂²	1	1	yes	characteristic, complemented
159	#11718461	C₂²	1	1	yes	characteristic, complemented
160	#11718459	C₂²	1	1	yes	characteristic, complemented
161	#11718457	C₂²	1	1	yes	characteristic, complemented
162	#11718450	C₂²	1	1	yes	characteristic, complemented
163	#11718445	C₂²	1	1	yes	characteristic
164	#11718445	C₂²	1	1	yes	characteristic, complemented
165	#11718443	C₂²	1	1	yes	characteristic
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718440	C₂²	1	1	yes	characteristic, complemented
168	#11718436	C₂²	1	1	yes	characteristic, complemented
169	#11718434	C₂²	1	1	yes	characteristic, complemented
170	#11718434	C₂²	1	1	yes	characteristic, complemented
171	#11718434	C₂²	1	1	yes	characteristic, complemented
172	#11718431	C₂²	1	1	yes	characteristic, complemented
173	#11718431	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	#11718427	C₂²	1	1	yes	characteristic, complemented
176	#11718425	C₂²	1	1	yes	characteristic
177	#11718425	C₂²	1	1	yes	characteristic, complemented
178	#11718425	C₂²	1	1	yes	characteristic, complemented
179	#11718424	C₂²	1	1	yes	characteristic, complemented
180	#11718424	C₂²	1	1	yes	characteristic, complemented
181	#11718423	C₂²	1	1	yes	characteristic
182	#11718423	C₂²	1	1	yes	characteristic, complemented
183	#11718423	C₂²	1	1	yes	characteristic, complemented
184	#11718419	C₂²	1	1	yes	characteristic, complemented
185	#11718418	C₂²	1	1	yes	characteristic, complemented
186	#11718418	C₂²	1	1	yes	characteristic, complemented
187	#11718397	C₂²	1	1	yes	characteristic, complemented
188	#11718396	C₂²	1	1	yes	characteristic, complemented
189	#11718395	C₂²	1	1	yes	characteristic, complemented
190	#11718395	C₂²	1	1	yes	characteristic, complemented
191	#11718391	C₂²	1	1	yes	characteristic, complemented
192	#11718391	C₂²	1	1	yes	characteristic, complemented
193	#11718390	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718367	C₂²	1	1	yes	characteristic, complemented
198	#11718362	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718349	C₂²	1	1	yes	characteristic, complemented
202	#11718340	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×#6129	—	2	1	no	—
210	C₂×#6129	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	—	2	1	no	—
212	C₂×D₄×D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	—	2	1	no	—
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×#6127	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×#127	C₂³	1	1	yes	characteristic
228	C₁₃×#127	C₂³	1	1	yes	characteristic
229	C₁₃×#126	—	2	1	no	—
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	C₂³	1	1	yes	characteristic
232	C₁₃×#124	C₂³	1	1	yes	characteristic
233	C₁₃×#124	C₂³	1	1	yes	characteristic
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×C₂²⋊Q₈	—	2	1	no	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#120	—	2	1	no	—
241	C₁₃×#120	—	2	1	no	—
242	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	#88207	—	2	1	no	—
246	#88207	—	2	1	no	—
247	#88204	—	4	2	no	—
248	#88201	—	2	1	no	—
249	#88201	—	2	1	no	—
250	#88201	C₂³	1	1	yes	characteristic
251	#88201	C₂³	1	1	yes	characteristic
252	#88200	C₂³	1	1	yes	characteristic
253	#88200	C₂³	1	1	yes	characteristic
254	Q₈×Dic₁₃	—	2	1	no	—
255	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
257	#88198	—	2	1	no	—
258	C₂×#6107	C₂³	1	1	yes	characteristic
259	C₂×#6106	C₂³	1	1	yes	characteristic
260	C₂×#6106	C₂³	1	1	yes	characteristic
261	C₂×#6106	C₂³	1	1	yes	characteristic
262	#88194	—	2	1	no	—
263	#88194	—	2	1	no	—
264	#88194	—	2	1	no	—
265	#88194	—	2	1	no	—
266	#88194	C₂³	1	1	yes	characteristic
267	#88194	C₂³	1	1	yes	characteristic
268	#88194	C₂³	1	1	yes	characteristic
269	#88194	C₂³	1	1	yes	characteristic
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	—	2	1	no	—
281	#88192	—	2	1	no	—
282	#88192	C₂³	1	1	yes	characteristic
283	#88192	C₂³	1	1	yes	characteristic
284	#88192	C₂³	1	1	yes	characteristic
285	#88192	C₂³	1	1	yes	characteristic
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88189	—	2	1	no	—
292	#88189	—	2	1	no	—
293	D₄×Dic₁₃	—	2	1	no	—
294	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×#6105	C₂³	1	1	yes	characteristic
299	C₂×#6105	C₂³	1	1	yes	characteristic
300	C₂×#6105	C₂³	1	1	yes	characteristic
301	#88186	—	4	2	no	—
302	C₂×#6104	C₂³	1	1	yes	characteristic
303	C₂×#6104	C₂³	1	1	yes	characteristic
304	C₂×#6104	C₂³	1	1	yes	characteristic
305	C₂×#6104	C₂³	1	1	yes	characteristic
306	C₂×#6104	C₂³	1	1	yes	characteristic
307	#88184	—	2	1	no	—
308	#88184	—	2	1	no	—
309	#88184	C₂³	1	1	yes	characteristic
310	#88184	C₂³	1	1	yes	characteristic
311	#88183	—	2	1	no	—
312	#88183	—	2	1	no	—
313	C₄×C₂²⋊D₁₃	—	2	1	no	—
314	C₄×C₂²⋊D₁₃	—	2	1	no	—
315	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
316	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
317	C₂×#6103	—	2	1	no	—
318	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₁₃	—	2	1	no	—
320	C₂×#6099	C₂³	1	1	yes	characteristic
321	C₂²×#1055	C₂³	1	1	yes	characteristic
322	#88172	—	4	2	no	—
323	SD₁₆×D₁₃	—	4	2	no	—
324	#88165	—	4	2	no	—
325	#88165	—	4	2	no	—
326	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
327	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
328	C₂×#6095	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic
330	C₂×#6094	C₂³	1	1	yes	characteristic
331	C₂×#6094	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
334	#88152	—	2	1	no	—
335	#88152	—	2	1	no	—
336	#88152	D₄	1	1	yes	characteristic
337	#88150	—	2	1	no	—
338	#88150	D₄	1	1	yes	characteristic
339	#88149	—	2	1	no	—
340	#88149	C₂³	1	1	yes	characteristic
341	#88149	C₂³	1	1	yes	characteristic
342	#88148	—	2	1	no	—
343	#88148	—	2	1	no	—
344	#88148	—	2	1	no	—
345	#88148	D₄	1	1	yes	characteristic
346	#88147	—	2	1	no	—
347	#88146	—	2	1	no	—
348	#88146	—	2	1	no	—
349	#88146	—	2	1	no	—
350	#88146	C₂³	1	1	yes	characteristic
351	#88146	C₂³	1	1	yes	characteristic
352	C₄⋊C₄×D₁₃	—	2	1	no	—
353	#88144	—	2	1	no	—
354	#88144	C₂³	1	1	yes	characteristic
355	#88144	C₂³	1	1	yes	characteristic
356	#88143	—	2	1	no	—
357	#88143	—	2	1	no	—
358	#88143	D₄	1	1	yes	characteristic
359	#88141	—	2	1	no	—
360	#88141	C₂³	1	1	yes	characteristic
361	#88141	C₂³	1	1	yes	characteristic
362	#88140	—	2	1	no	—
363	#88140	—	2	1	no	—
364	#88140	—	2	1	no	—
365	#88140	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
369	#88139	—	2	1	no	—
370	#88139	D₄	1	1	yes	characteristic
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	D₄	1	1	yes	characteristic
381	#88137	—	2	1	no	—
382	#88137	—	2	1	no	—
383	#88137	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	D₄	1	1	yes	characteristic
387	#88136	—	2	1	no	—
388	#88136	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	#88133	—	2	1	no	—
400	#88133	—	2	1	no	—
401	#88133	D₄	1	1	yes	characteristic
402	#88132	—	2	1	no	—
403	#88131	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88131	—	2	1	no	—
406	#88128	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	—	2	1	no	—
408	C₄×D₅₂	C₂³	1	1	yes	characteristic
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	C₄²×D₁₃	C₂³	1	1	yes	characteristic
417	#88124	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	—	2	1	no	—
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#97	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	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	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88058	C₂³	1	1	yes	characteristic
459	#88058	C₂³	1	1	yes	characteristic
460	#88057	C₂³	1	1	yes	characteristic
461	#88057	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88055	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	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	#62081	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	4	1	no	—
502	C₂×D₄×C₁₃	—	4	1	no	—
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	8	2	no	—
530	C₂×C₂²⋊D₁₃	—	8	2	no	—
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	#6131	—	4	1	no	—
540	#6131	—	4	1	no	—
541	Q₈×D₁₃	—	2	2	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	#6129	—	2	2	no	—
544	#6129	—	4	1	no	—
545	#6129	—	8	2	no	—
546	D₄×D₁₃	—	4	1	no	—
547	D₄×D₁₃	—	4	1	no	—
548	D₄×D₁₃	—	4	1	no	—
549	D₄×D₁₃	—	4	1	no	—
550	D₄×D₁₃	—	4	1	no	—
551	D₄×D₁₃	—	4	1	no	—
552	D₄×D₁₃	—	8	2	no	—
553	D₄×D₁₃	—	8	2	no	—
554	D₄×D₁₃	—	8	2	no	—
555	#6127	—	2	2	no	—
556	#6127	—	4	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	—	2	1	no	—
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	—	2	1	no	—
562	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
565	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
579	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
580	C₁₃×Q₁₆	—	4	1	no	—
581	C₁₃×SD₁₆	—	4	1	no	—
582	C₁₃×SD₁₆	—	4	1	no	—
583	C₁₃×SD₁₆	—	4	1	no	—
584	C₁₃×SD₁₆	—	4	1	no	—
585	C₁₃×D₈	—	4	1	no	—
586	C₁₃×D₈	—	4	1	no	—
587	C₁₃×D₈	—	4	1	no	—
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₃	—	2	1	no	—
611	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
622	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
623	#6107	—	2	2	no	—
624	#6106	—	4	1	no	—
625	#6106	—	4	1	no	—
626	#6106	—	4	1	no	—
627	#6105	—	2	2	no	—
628	#6105	—	2	2	no	—
629	#6105	—	2	2	no	—
630	#6104	—	4	1	no	—
631	#6104	—	4	1	no	—
632	#6104	—	4	1	no	—
633	#6104	—	4	1	no	—
634	#6104	—	4	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	C₂×D₄	1	1	yes	characteristic
652	#6103	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	#6103	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	#6101	—	2	1	no	—
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	#6101	C₂×D₄	1	1	yes	characteristic
682	#6101	C₂×D₄	1	1	yes	characteristic
683	#6101	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
696	#6099	—	4	1	no	—
697	C₂×#1055	—	4	1	no	—
698	C₂×#1055	C₂⁴	1	1	yes	characteristic
699	C₂×#1055	C₂⁴	1	1	yes	characteristic
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	D₁₀₄	—	4	1	no	—
703	D₁₀₄	—	4	1	no	—
704	#6095	—	2	2	no	—
705	#6095	—	2	2	no	—
706	#6094	—	4	1	no	—
707	#6094	—	4	1	no	—
708	#6094	—	4	1	no	—
709	C₈×D₁₃	—	4	1	no	—
710	#3543	—	13	1	no	—
711	#3524	—	13	1	no	—
712	#3403	—	13	1	no	—
713	#3399	—	13	1	no	—
714	#3371	—	13	1	no	—
715	#3368	—	13	1	no	—
716	#3325	—	13	1	no	—
717	#3323	—	13	1	no	—
718	#3319	—	13	1	no	—
719	#3318	—	13	1	no	—
720	#3310	—	13	1	no	—
721	#3309	—	13	1	no	—
722	#3275	—	13	1	no	—
723	#3274	—	13	1	no	—
724	#3271	—	13	1	no	—
725	#3268	—	13	1	no	—
726	#3265	—	13	1	no	—
727	#3265	—	13	1	no	—
728	#3259	—	13	1	no	—
729	#3257	—	13	1	no	—
730	#3256	—	13	1	no	—
731	#3224	D₁₃	1	1	yes	characteristic, complemented
732	#3220	—	13	1	no	—
733	#3217	—	13	1	no	—
734	#3126	—	13	1	no	—
735	#3119	—	13	1	no	—
736	#3111	—	13	1	no	—
737	#3045	—	13	1	no	—
738	#3043	—	13	1	no	—
739	#3038	—	13	1	no	—
740	#2995	—	13	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	2	1	no	—
744	C₂³×C₁₃	—	2	1	no	—
745	C₂³×C₁₃	—	8	1	no	—
746	C₂³×C₁₃	—	8	1	no	—
747	C₂³×C₁₃	—	8	1	no	—
748	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
749	C₂²×D₁₃	—	2	1	no	—
750	C₂²×D₁₃	—	2	1	no	—
751	C₂²×D₁₃	—	2	1	no	—
752	C₂²×D₁₃	—	4	2	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	—	8	1	no	—
756	C₂²×D₁₃	—	8	1	no	—
757	C₂²×D₁₃	—	8	1	no	—
758	C₂²×D₁₃	—	8	1	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	—	8	1	no	—
761	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
763	Q₈×C₁₃	—	2	1	no	—
764	Q₈×C₁₃	—	2	1	no	—
765	Q₈×C₁₃	—	2	1	no	—
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	2	1	no	—
774	D₄×C₁₃	—	2	1	no	—
775	D₄×C₁₃	—	2	1	no	—
776	D₄×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	8	1	no	—
778	D₄×C₁₃	—	8	1	no	—
779	D₄×C₁₃	—	8	1	no	—
780	D₄×C₁₃	—	8	1	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	C₂×C₄×C₁₃	—	2	1	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	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
797	C₂²⋊D₁₃	—	4	1	no	—
798	C₂²⋊D₁₃	—	4	1	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂²⋊D₁₃	—	8	1	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂²⋊D₁₃	—	8	1	no	—
811	C₂²⋊D₁₃	—	8	1	no	—
812	C₂²⋊D₁₃	—	8	1	no	—
813	C₂²⋊D₁₃	—	8	1	no	—
814	C₂²⋊D₁₃	—	8	1	no	—
815	C₂²⋊D₁₃	—	8	1	no	—
816	C₂²⋊D₁₃	—	8	1	no	—
817	C₂²⋊D₁₃	—	8	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	4	2	no	—
824	C₂×Dic₁₃	—	4	2	no	—
825	C₂×Dic₁₃	—	8	1	no	—
826	C₂×Dic₁₃	—	8	1	no	—
827	C₂×Dic₁₃	—	8	1	no	—
828	C₂×Dic₁₃	—	8	1	no	—
829	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
835	D₅₂	—	2	1	no	—
836	D₅₂	—	2	1	no	—
837	D₅₂	—	2	1	no	—
838	D₅₂	—	2	1	no	—
839	D₅₂	—	2	1	no	—
840	D₅₂	—	2	1	no	—
841	D₅₂	—	4	1	no	—
842	D₅₂	—	8	1	no	—
843	D₅₂	—	8	1	no	—
844	D₅₂	—	8	1	no	—
845	D₅₂	—	8	1	no	—
846	D₅₂	—	8	1	no	—
847	C₄×D₁₃	—	2	1	no	—
848	C₄×D₁₃	—	2	1	no	—
849	C₄×D₁₃	—	2	1	no	—
850	C₄×D₁₃	—	2	1	no	—
851	C₄×D₁₃	—	4	1	no	—
852	C₄×D₁₃	—	4	1	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	—	8	1	no	—
860	Dic₂₆	—	2	1	no	—
861	Dic₂₆	—	4	1	no	—
862	Dic₂₆	—	4	2	no	—
863	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
864	C₈×C₁₃	—	2	1	no	—
865	C₈×C₁₃	—	2	1	no	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	#1055	—	2	1	no	—
869	#1055	—	2	1	no	—
870	#1055	—	2	1	no	—
871	#1055	—	2	1	no	—
872	C₂×#137	—	13	1	no	—
873	C₂×AGL(1,ℤ/8)	—	13	1	no	—
874	C₂×AGL(1,ℤ/8)	—	13	1	no	—
875	C₂×AGL(1,ℤ/8)	—	13	1	no	—
876	C₂×#135	—	13	1	no	—
877	C₂²×SD₁₆	—	13	1	no	—
878	#560	—	26	1	no	—
879	#560	—	26	1	no	—
880	#559	—	13	1	no	—
881	#559	—	13	1	no	—
882	#559	—	26	1	no	—
883	#557	—	13	1	no	—
884	#555	—	13	1	no	—
885	#555	—	26	1	no	—
886	#553	—	13	1	no	—
887	#553	—	26	1	no	—
888	#552	—	13	1	no	—
889	#552	—	26	1	no	—
890	#550	—	13	1	no	—
891	#550	—	13	1	no	—
892	#550	—	13	1	no	—
893	#548	—	13	1	no	—
894	#548	—	13	1	no	—
895	#546	—	13	1	no	—
896	#546	—	13	1	no	—
897	#546	—	26	1	no	—
898	D₄²	—	13	1	no	—
899	D₄²	—	13	1	no	—
900	D₄²	—	13	1	no	—
901	D₄²	—	26	1	no	—
902	#542	—	26	1	no	—
903	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
904	#540	—	13	1	no	—
905	#540	—	13	1	no	—
906	#540	—	13	1	no	—
907	#540	—	26	1	no	—
908	#540	—	26	1	no	—
909	#535	—	13	1	no	—
910	#535	—	26	1	no	—
911	#535	C₂×D₁₃	1	1	yes	characteristic
912	#534	—	26	1	no	—
913	#534	—	26	1	no	—
914	C₂×#127	—	13	1	no	—
915	#529	—	13	1	no	—
916	#529	—	13	1	no	—
917	#529	—	13	1	no	—
918	#529	—	26	1	no	—
919	#529	—	26	1	no	—
920	#520	—	13	1	no	—
921	#519	—	13	1	no	—
922	C₄×#41	—	13	1	no	—
923	#496	—	13	1	no	—
924	#496	—	13	1	no	—
925	#496	—	13	1	no	—
926	#496	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#493	—	13	1	no	—
929	#490	—	13	1	no	—
930	#490	—	13	1	no	—
931	#490	—	13	1	no	—
932	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#488	—	13	1	no	—
934	#486	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#485	—	13	1	no	—
936	#482	—	13	1	no	—
937	#482	—	13	1	no	—
938	#482	—	13	1	no	—
939	#481	—	13	1	no	—
940	#480	—	13	1	no	—
941	#479	—	13	1	no	—
942	#479	—	13	1	no	—
943	#479	—	13	1	no	—
944	#478	—	13	1	no	—
945	#478	—	13	1	no	—
946	#478	—	13	1	no	—
947	#478	—	13	1	no	—
948	#478	—	13	1	no	—
949	#476	—	13	1	no	—
950	#474	—	13	1	no	—
951	#470	—	13	1	no	—
952	#469	—	13	1	no	—
953	#469	—	13	1	no	—
954	#469	—	13	1	no	—
955	#469	—	13	1	no	—
956	#468	—	13	1	no	—
957	#468	—	13	1	no	—
958	#468	—	13	1	no	—
959	#466	—	13	1	no	—
960	#466	—	13	1	no	—
961	#466	—	13	1	no	—
962	#465	—	13	1	no	—
963	#464	—	13	1	no	—
964	#464	—	13	1	no	—
965	#464	—	13	1	no	—
966	#464	—	13	1	no	—
967	#464	—	13	1	no	—
968	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#463	—	13	1	no	—
970	#463	—	13	1	no	—
971	#463	—	13	1	no	—
972	#463	—	13	1	no	—
973	#463	—	13	1	no	—
974	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
975	#460	—	13	1	no	—
976	#460	—	13	1	no	—
977	#460	—	13	1	no	—
978	#460	—	13	1	no	—
979	#460	—	13	1	no	—
980	#460	—	13	1	no	—
981	#460	—	13	1	no	—
982	#460	—	13	1	no	—
983	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#459	—	13	1	no	—
985	#459	—	13	1	no	—
986	#459	—	13	1	no	—
987	#459	—	13	1	no	—
988	#459	—	13	1	no	—
989	#459	—	13	1	no	—
990	#459	—	13	1	no	—
991	#459	—	13	1	no	—
992	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#452	—	13	1	no	—
994	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#450	—	13	1	no	—
996	#450	—	13	1	no	—
997	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#448	—	13	1	no	—
1005	#448	—	13	1	no	—
1006	#447	—	13	1	no	—
1007	#447	—	13	1	no	—
1008	#447	—	13	1	no	—
1009	#447	—	13	1	no	—
1010	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#446	—	13	1	no	—
1012	#446	—	13	1	no	—
1013	#442	—	13	1	no	—
1014	#442	—	13	1	no	—
1015	#441	—	13	1	no	—
1016	#440	—	13	1	no	—
1017	#440	—	13	1	no	—
1018	#440	—	13	1	no	—
1019	#440	—	13	1	no	—
1020	#440	—	13	1	no	—
1021	C₄×SD₁₆	—	13	1	no	—
1022	C₄×SD₁₆	—	13	1	no	—
1023	C₄×SD₁₆	—	13	1	no	—
1024	C₄×D₈	—	13	1	no	—
1025	#436	—	13	1	no	—
1026	#436	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	—	13	1	no	—
1029	#435	—	13	1	no	—
1030	#435	—	13	1	no	—
1031	#433	—	13	1	no	—
1032	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1033	#432	—	13	1	no	—
1034	#424	—	13	1	no	—
1035	#424	—	13	1	no	—
1036	#423	—	13	1	no	—
1037	#418	—	13	1	no	—
1038	#418	—	13	1	no	—
1039	#418	—	13	1	no	—
1040	#417	—	13	1	no	—
1041	#416	—	13	1	no	—
1042	C₂×#102	—	13	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	4	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	4	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	16	2	no	—
1059	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	2	1	no	—
1064	C₂×D₁₃	—	2	1	no	—
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	4	1	no	—
1068	C₂×D₁₃	—	4	1	no	—
1069	C₂×D₁₃	—	4	1	no	—
1070	C₂×D₁₃	—	4	1	no	—
1071	C₂×D₁₃	—	4	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	16	2	no	—
1076	C₂×D₁₃	—	16	2	no	—
1077	C₂×D₁₃	—	16	2	no	—
1078	C₄×C₁₃	—	2	1	no	—
1079	C₄×C₁₃	—	2	1	no	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	4	1	no	—
1084	C₄×C₁₃	—	4	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1088	C₄×C₁₃	#585	1	1	yes	characteristic
1089	Dic₁₃	—	2	1	no	—
1090	Dic₁₃	—	2	1	no	—
1091	Dic₁₃	—	2	1	no	—
1092	Dic₁₃	—	2	1	no	—
1093	Dic₁₃	—	2	2	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	2	1	no	—
1096	Dic₁₃	—	4	1	no	—
1097	Dic₁₃	—	4	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	C₂×#41	—	13	1	no	—
1101	C₂×#41	—	13	1	no	—
1102	C₂×#41	—	13	1	no	—
1103	C₂×#41	—	26	1	no	—
1104	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1105	C₂²×Q₈	—	13	1	no	—
1106	C₂²×D₄	—	13	1	no	—
1107	C₂²×D₄	—	13	1	no	—
1108	C₂²×D₄	—	13	1	no	—
1109	C₂²×D₄	—	26	1	no	—
1110	C₂²×D₄	—	26	1	no	—
1111	C₂²×D₄	—	26	1	no	—
1112	C₂²×D₄	—	26	1	no	—
1113	C₂²×D₄	—	26	1	no	—
1114	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1115	#137	—	52	2	no	—
1116	AGL(1,ℤ/8)	—	52	2	no	—
1117	AGL(1,ℤ/8)	—	52	2	no	—
1118	AGL(1,ℤ/8)	—	52	2	no	—
1119	#135	—	52	2	no	—
1120	C₂×Q₁₆	—	13	1	no	—
1121	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×SD₁₆	—	13	1	no	—
1123	C₂×SD₁₆	—	13	1	no	—
1124	C₂×SD₁₆	—	13	1	no	—
1125	C₂×SD₁₆	—	13	1	no	—
1126	C₂×SD₁₆	—	13	1	no	—
1127	C₂×SD₁₆	—	13	1	no	—
1128	C₂×SD₁₆	—	13	1	no	—
1129	C₂×SD₁₆	—	13	1	no	—
1130	C₂×SD₁₆	—	52	2	no	—
1131	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×D₈	—	13	1	no	—
1136	C₂×D₈	—	13	1	no	—
1137	C₂×D₈	—	13	1	no	—
1138	C₂×D₈	—	13	1	no	—
1139	C₂×D₈	—	13	1	no	—
1140	C₂×D₈	—	13	1	no	—
1141	C₂×D₈	—	13	1	no	—
1142	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×M₁₆	—	13	1	no	—
1146	C₂×M₁₆	—	13	1	no	—
1147	C₂×M₁₆	—	13	1	no	—
1148	C₂×M₁₆	—	13	1	no	—
1149	C₂²×C₈	—	13	1	no	—
1150	C₂²×C₈	—	13	1	no	—
1151	C₄⋊Q₈	—	26	1	no	—
1152	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1153	#127	—	13	1	no	—
1154	#127	—	13	1	no	—
1155	#127	—	13	1	no	—
1156	#127	—	13	1	no	—
1157	#127	—	13	1	no	—
1158	#127	—	26	1	no	—
1159	#127	—	26	1	no	—
1160	#127	—	26	1	no	—
1161	#127	—	26	1	no	—
1162	#127	C₂²×D₁₃	1	1	yes	characteristic
1163	#127	C₂²×D₁₃	1	1	yes	characteristic
1164	#126	—	2	1	no	—
1165	#126	—	13	1	no	—
1166	#126	—	13	1	no	—
1167	#126	—	26	1	no	—
1168	#126	—	26	1	no	—
1169	#126	—	26	1	no	—
1170	#126	—	26	1	no	—
1171	#125	—	13	1	no	—
1172	#125	—	13	1	no	—
1173	#125	—	13	1	no	—
1174	#125	—	13	1	no	—
1175	#125	—	26	1	no	—
1176	#125	—	26	1	no	—
1177	#125	—	26	1	no	—
1178	#124	—	2	1	no	—
1179	#124	—	13	1	no	—
1180	#124	—	13	1	no	—
1181	#124	—	13	1	no	—
1182	#124	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1189	#124	C₂²×D₁₃	1	1	yes	characteristic
1190	#124	C₂²×D₁₃	1	1	yes	characteristic
1191	#123	—	2	1	no	—
1192	#123	—	13	1	no	—
1193	#123	—	13	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	#123	—	26	1	no	—
1197	#123	—	26	1	no	—
1198	#123	—	26	1	no	—
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	1	no	—
1206	#123	—	26	1	no	—
1207	#123	—	26	1	no	—
1208	#123	—	26	1	no	—
1209	#123	—	26	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	13	1	no	—
1220	#121	—	13	1	no	—
1221	#121	—	13	1	no	—
1222	#121	—	13	1	no	—
1223	#121	—	13	1	no	—
1224	#121	—	13	1	no	—
1225	#121	—	13	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	—	26	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	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	C₂²×D₁₃	1	1	yes	characteristic
1253	#120	—	2	1	no	—
1254	#120	—	2	1	no	—
1255	#120	—	26	1	no	—
1256	#120	—	26	1	no	—
1257	#120	—	26	1	no	—
1258	#120	—	26	1	no	—
1259	#120	—	26	1	no	—
1260	#120	—	26	1	no	—
1261	#120	—	26	1	no	—
1262	#120	—	26	1	no	—
1263	#120	—	26	1	no	—
1264	#120	—	26	1	no	—
1265	C₄×Q₈	—	13	1	no	—
1266	C₄×Q₈	—	13	1	no	—
1267	C₄×Q₈	—	13	1	no	—
1268	C₄×Q₈	—	13	1	no	—
1269	C₄×Q₈	—	13	1	no	—
1270	C₄×Q₈	—	13	1	no	—
1271	C₄×Q₈	—	13	1	no	—
1272	C₄×Q₈	—	26	1	no	—
1273	C₄×Q₈	—	26	1	no	—
1274	C₄×Q₈	—	26	1	no	—
1275	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄×D₄	—	13	1	no	—
1277	C₄×D₄	—	13	1	no	—
1278	C₄×D₄	—	13	1	no	—
1279	C₄×D₄	—	13	1	no	—
1280	C₄×D₄	—	13	1	no	—
1281	C₄×D₄	—	13	1	no	—
1282	C₄×D₄	—	13	1	no	—
1283	C₄×D₄	—	13	1	no	—
1284	C₄×D₄	—	13	1	no	—
1285	C₄×D₄	—	13	1	no	—
1286	C₄×D₄	—	13	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	—	26	1	no	—
1292	C₄×D₄	—	26	1	no	—
1293	C₄×D₄	—	26	1	no	—
1294	C₄×D₄	—	26	1	no	—
1295	C₄×D₄	—	26	1	no	—
1296	C₄×D₄	—	26	1	no	—
1297	C₄×D₄	—	26	1	no	—
1298	C₄×D₄	—	26	1	no	—
1299	C₄×D₄	—	26	1	no	—
1300	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1301	#117	—	13	1	no	—
1302	#117	—	13	1	no	—
1303	#117	—	13	1	no	—
1304	#117	—	26	1	no	—
1305	#117	—	26	1	no	—
1306	#117	—	26	1	no	—
1307	#117	—	26	1	no	—
1308	#117	—	26	1	no	—
1309	#117	—	26	1	no	—
1310	#117	—	26	1	no	—
1311	#117	—	26	1	no	—
1312	#117	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂×C₄⋊C₄	—	13	1	no	—
1314	C₂×C₄⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	26	1	no	—
1316	C₂×C₂²⋊C₄	—	26	1	no	—
1317	C₂×C₄²	—	13	1	no	—
1318	C₂×C₄²	—	26	1	no	—
1319	#107	—	13	1	no	—
1320	#107	—	13	1	no	—
1321	#107	—	13	1	no	—
1322	#107	—	13	1	no	—
1323	#106	—	13	1	no	—
1324	#106	—	13	1	no	—
1325	#106	—	13	1	no	—
1326	#106	—	13	1	no	—
1327	C₄⋊C₈	—	13	1	no	—
1328	C₄⋊C₈	—	13	1	no	—
1329	C₄⋊C₈	—	13	1	no	—
1330	C₄⋊C₈	—	13	1	no	—
1331	C₄⋊C₈	—	13	1	no	—
1332	C₄⋊C₈	—	13	1	no	—
1333	C₄⋊C₈	—	13	1	no	—
1334	C₄⋊C₈	—	13	1	no	—
1335	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1344	#103	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	C₂²×D₁₃	1	1	yes	characteristic
1364	#102	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	#102	C₂²×D₁₃	1	1	yes	characteristic
1368	#102	C₂²×D₁₃	1	1	yes	characteristic
1369	C₂²⋊C₈	—	13	1	no	—
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	—	13	1	no	—
1372	C₂²⋊C₈	—	13	1	no	—
1373	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1375	#97	—	13	1	no	—
1376	#97	—	13	1	no	—
1377	#97	—	13	1	no	—
1378	#97	C₂²×D₁₃	1	1	yes	characteristic
1379	C₄×C₈	—	13	1	no	—
1380	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1381	C₂×C₁₃	—	4	1	no	—
1382	C₂×C₁₃	—	8	1	no	—
1383	C₂×C₁₃	—	8	1	no	—
1384	C₂×C₁₃	—	8	1	no	—
1385	C₂×C₁₃	—	8	1	no	—
1386	C₂×C₁₃	#3488	1	1	yes	characteristic
1387	C₂×C₁₃	#3585	1	1	yes	characteristic
1388	C₂×C₁₃	#3585	1	1	yes	characteristic
1389	D₁₃	—	4	1	no	—
1390	D₁₃	—	4	1	no	—
1391	D₁₃	—	8	1	no	—
1392	D₁₃	—	8	1	no	—
1393	D₁₃	—	8	1	no	—
1394	C₂⁴	—	2	1	no	—
1395	C₂⁴	—	26	1	no	—
1396	C₂⁴	—	26	1	no	—
1397	C₂⁴	—	26	1	no	—
1398	#41	—	4	1	no	—
1399	#41	—	4	1	no	—
1400	#41	—	26	2	no	—
1401	#41	—	26	2	no	—
1402	#41	—	52	1	no	—
1403	#41	—	52	1	no	—
1404	#41	—	52	1	no	—
1405	#41	—	52	1	no	—
1406	#41	—	104	2	no	—
1407	C₂×Q₈	—	2	1	no	—
1408	C₂×Q₈	—	13	1	no	—
1409	C₂×Q₈	—	13	1	no	—
1410	C₂×Q₈	—	26	1	no	—
1411	C₂×Q₈	—	26	2	no	—
1412	C₂×Q₈	—	52	1	no	—
1413	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1414	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	4	1	no	—
1423	C₂×D₄	—	4	1	no	—
1424	C₂×D₄	—	13	1	no	—
1425	C₂×D₄	—	13	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	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	1	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	1	no	—
1455	C₂×D₄	—	52	1	no	—
1456	C₂×D₄	—	52	1	no	—
1457	C₂×D₄	—	52	1	no	—
1458	C₂×D₄	—	52	1	no	—
1459	C₂×D₄	—	52	1	no	—
1460	C₂×D₄	—	104	2	no	—
1461	C₂×D₄	—	104	2	no	—
1462	C₂×D₄	—	104	2	no	—
1463	C₂×D₄	—	104	2	no	—
1464	C₂×D₄	—	104	2	no	—
1465	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1468	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	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	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1489	Q₁₆	—	4	1	no	—
1490	Q₁₆	—	26	2	no	—
1491	SD₁₆	—	4	1	no	—
1492	SD₁₆	—	4	1	no	—
1493	SD₁₆	—	4	1	no	—
1494	SD₁₆	—	4	1	no	—
1495	SD₁₆	—	26	2	no	—
1496	SD₁₆	—	26	2	no	—
1497	SD₁₆	—	26	2	no	—
1498	SD₁₆	—	26	2	no	—
1499	SD₁₆	—	26	2	no	—
1500	SD₁₆	—	52	1	no	—
1501	SD₁₆	—	52	1	no	—
1502	SD₁₆	—	52	1	no	—
1503	D₈	—	4	1	no	—
1504	D₈	—	4	1	no	—
1505	D₈	—	4	1	no	—
1506	D₈	—	52	1	no	—
1507	D₈	—	52	1	no	—
1508	D₈	—	52	1	no	—
1509	D₈	—	52	1	no	—
1510	D₈	—	52	1	no	—
1511	D₈	—	52	1	no	—
1512	D₈	—	52	1	no	—
1513	M₁₆	—	52	1	no	—
1514	M₁₆	—	52	1	no	—
1515	M₁₆	—	52	1	no	—
1516	M₁₆	—	52	1	no	—
1517	C₂×C₈	—	13	1	no	—
1518	C₂×C₈	—	13	1	no	—
1519	C₂×C₈	—	13	1	no	—
1520	C₂×C₈	—	13	1	no	—
1521	C₂×C₈	—	52	1	no	—
1522	C₂×C₈	—	52	1	no	—
1523	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1525	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1526	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	13	1	no	—
1539	C₄⋊C₄	—	13	1	no	—
1540	C₄⋊C₄	—	13	1	no	—
1541	C₄⋊C₄	—	13	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	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	13	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	13	1	no	—
1574	C₂²⋊C₄	—	13	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	1	no	—
1577	C₂²⋊C₄	—	13	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	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1603	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1604	C₄²	—	2	1	no	—
1605	C₄²	—	13	1	no	—
1606	C₄²	—	13	1	no	—
1607	C₄²	—	13	1	no	—
1608	C₄²	—	13	1	no	—
1609	C₄²	—	26	1	no	—
1610	C₄²	—	26	1	no	—
1611	C₄²	—	26	1	no	—
1612	C₄²	—	26	1	no	—
1613	C₄²	—	26	1	no	—
1614	C₄²	—	26	1	no	—
1615	C₄²	—	26	1	no	—
1616	C₄²	—	26	1	no	—
1617	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1618	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1619	C₁₃	#62081	1	1	yes	characteristic, complemented, Sylow
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	8	1	no	—
1625	C₂³	—	8	1	no	—
1626	C₂³	—	8	1	no	—
1627	C₂³	—	13	1	no	—
1628	C₂³	—	13	1	no	—
1629	C₂³	—	26	1	no	—
1630	C₂³	—	26	1	no	—
1631	C₂³	—	26	1	no	—
1632	C₂³	—	52	2	no	—
1633	C₂³	—	52	2	no	—
1634	C₂³	—	104	1	no	—
1635	C₂³	—	104	1	no	—
1636	C₂³	—	104	1	no	—
1637	C₂³	—	104	1	no	—
1638	C₂³	—	104	1	no	—
1639	C₂³	—	104	1	no	—
1640	C₂³	—	104	1	no	—
1641	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1642	Q₈	—	2	1	no	—
1643	Q₈	—	2	1	no	—
1644	Q₈	—	2	1	no	—
1645	Q₈	—	2	1	no	—
1646	Q₈	—	8	1	no	—
1647	Q₈	—	13	2	no	—
1648	Q₈	—	26	1	no	—
1649	Q₈	—	52	1	no	—
1650	Q₈	—	52	2	no	—
1651	D₄	—	2	1	no	—
1652	D₄	—	2	1	no	—
1653	D₄	—	2	1	no	—
1654	D₄	—	2	1	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	8	1	no	—
1660	D₄	—	8	1	no	—
1661	D₄	—	8	1	no	—
1662	D₄	—	8	1	no	—
1663	D₄	—	8	1	no	—
1664	D₄	—	8	1	no	—
1665	D₄	—	8	1	no	—
1666	D₄	—	26	1	no	—
1667	D₄	—	26	1	no	—
1668	D₄	—	26	1	no	—
1669	D₄	—	26	1	no	—
1670	D₄	—	26	1	no	—
1671	D₄	—	26	1	no	—
1672	D₄	—	52	1	no	—
1673	D₄	—	52	1	no	—
1674	D₄	—	52	1	no	—
1675	D₄	—	52	2	no	—
1676	D₄	—	52	2	no	—
1677	D₄	—	52	2	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	2	no	—
1680	D₄	—	104	1	no	—
1681	D₄	—	104	1	no	—
1682	D₄	—	104	1	no	—
1683	D₄	—	104	1	no	—
1684	D₄	—	104	1	no	—
1685	D₄	—	104	1	no	—
1686	D₄	—	104	1	no	—
1687	D₄	—	104	1	no	—
1688	D₄	—	104	1	no	—
1689	D₄	—	104	1	no	—
1690	D₄	—	104	1	no	—
1691	D₄	—	104	1	no	—
1692	D₄	—	104	1	no	—
1693	D₄	—	104	1	no	—
1694	D₄	—	104	1	no	—
1695	D₄	—	104	1	no	—
1696	D₄	—	104	1	no	—
1697	D₄	—	104	1	no	—
1698	D₄	—	104	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	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	13	1	no	—
1708	C₂×C₄	—	13	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	13	1	no	—
1711	C₂×C₄	—	13	1	no	—
1712	C₂×C₄	—	13	1	no	—
1713	C₂×C₄	—	26	1	no	—
1714	C₂×C₄	—	26	1	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	26	1	no	—
1721	C₂×C₄	—	26	1	no	—
1722	C₂×C₄	—	52	1	no	—
1723	C₂×C₄	—	52	1	no	—
1724	C₂×C₄	—	52	2	no	—
1725	C₂×C₄	—	52	2	no	—
1726	C₂×C₄	—	52	2	no	—
1727	C₂×C₄	—	52	2	no	—
1728	C₂×C₄	—	104	1	no	—
1729	C₂×C₄	—	104	1	no	—
1730	C₂×C₄	—	104	1	no	—
1731	C₂×C₄	—	104	1	no	—
1732	C₂×C₄	—	104	1	no	—
1733	C₂×C₄	—	104	1	no	—
1734	C₂×C₄	—	104	1	no	—
1735	C₂×C₄	—	104	1	no	—
1736	C₂×C₄	—	104	1	no	—
1737	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1738	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1739	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1740	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1741	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1742	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1743	C₈	—	2	1	no	—
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	26	1	no	—
1748	C₈	—	26	1	no	—
1749	C₈	—	26	1	no	—
1750	C₈	—	26	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	16	2	no	—
1767	C₂²	—	26	1	no	—
1768	C₂²	—	26	1	no	—
1769	C₂²	—	26	1	no	—
1770	C₂²	—	26	1	no	—
1771	C₂²	—	26	1	no	—
1772	C₂²	—	26	1	no	—
1773	C₂²	—	52	1	no	—
1774	C₂²	—	52	1	no	—
1775	C₂²	—	52	1	no	—
1776	C₂²	—	52	1	no	—
1777	C₂²	—	52	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	—	52	1	no	—
1780	C₂²	—	52	1	no	—
1781	C₂²	—	52	1	no	—
1782	C₂²	—	208	2	no	—
1783	C₂²	—	208	2	no	—
1784	C₂²	—	208	2	no	—
1785	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1786	C₄	—	2	1	no	—
1787	C₄	—	2	1	no	—
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	4	1	no	—
1792	C₄	—	4	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	26	1	no	—
1796	C₄	—	26	1	no	—
1797	C₄	—	26	2	no	—
1798	C₄	—	26	1	no	—
1799	C₄	—	26	1	no	—
1800	C₄	—	26	1	no	—
1801	C₄	—	26	1	no	—
1802	C₄	—	52	1	no	—
1803	C₄	—	52	1	no	—
1804	C₄	—	52	1	no	—
1805	C₄	—	52	1	no	—
1806	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1807	C₄	#11719650	1	1	yes	characteristic
1808	C₂	—	4	1	no	—
1809	C₂	—	8	1	no	—
1810	C₂	—	8	1	no	—
1811	C₂	—	8	1	no	—
1812	C₂	—	8	1	no	—
1813	C₂	—	52	1	no	—
1814	C₂	—	52	1	no	—
1815	C₂	—	104	1	no	—
1816	C₂	—	104	1	no	—
1817	C₂	—	104	1	no	—
1818	C₂	#13128503	1	1	yes	characteristic
1819	C₂	#13129611	1	1	yes	characteristic
1820	C₂	#13129614	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×#3224	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3224	D₁₃
hypocenter	C₁₃	#62081
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3224

Complements

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

N	H ≅ G/N	type
1. #13129162	C₂	semidirect
2. #13128943	C₂	semidirect
3. #13127927	C₂	semidirect
4. #13127875	C₂	semidirect
5. #13127603	C₂	semidirect
6. #13127570	C₂	semidirect
7. #13127077	C₂	semidirect
8. #13127045	C₂	semidirect
9. #13126991	C₂	semidirect
10. #13126981	C₂	semidirect
11. #13126861	C₂	semidirect
12. #13126835	C₂	semidirect
13. #13126466	C₂	semidirect
14. #13126454	C₂	semidirect
15. #13126425	C₂	semidirect
16. #13126380	C₂	semidirect
17. #13126330	C₂	semidirect
18. #13126329	C₂	semidirect
19. #13126273	C₂	semidirect
20. #13126247	C₂	semidirect
21. #13126235	C₂	semidirect
22. #13125883	C₂	semidirect
23. #13125858	C₂	semidirect
24. #13125125	C₂	semidirect
25. #13125037	C₂	semidirect
26. #13124942	C₂	semidirect
27. #13124371	C₂	semidirect
28. #13124355	C₂	semidirect
29. #13124311	C₂	semidirect
30. #13124001	C₂	semidirect
31. C₁₃×#3224	C₂	semidirect
32. C₁₃×#542	C₂²	semidirect
36. C₂×#88204	C₂²	semidirect
39. C₂×#88186	C₂²	semidirect
40. C₂×#88172	C₂²	semidirect
41. C₂×SD₁₆×D₁₃	C₂²	semidirect
42. C₂×#88165	C₂²	semidirect
43. C₂×#88165	C₂²	semidirect
44. #11719439	C₂²	semidirect
45. #11719426	C₂²	semidirect
54. #11719386	C₂²	semidirect
56. #11719382	C₂²	semidirect
62. #11719347	C₂²	semidirect
64. #11719338	C₂²	semidirect
67. #11719323	C₂²	semidirect
71. #11719304	C₂²	semidirect
76. #11719285	C₂²	semidirect
77. #11719277	C₂²	semidirect
78. #11719267	C₂²	semidirect
79. C₄×#6129	C₂²	semidirect
82. #11719228	C₂²	semidirect
83. C₁₃×#496	C₂²	semidirect
84. C₁₃×#495	C₂²	semidirect
85. C₁₃×#489	C₂²	semidirect
86. C₁₃×#486	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#452	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#447	C₂²	semidirect
95. C₁₃×#433	C₂²	semidirect
96. #11718893	C₂²	semidirect
97. C₂×#88072	C₂²	semidirect
98. #11718850	C₂²	semidirect
99. #11718846	C₂²	semidirect
100. #11718846	C₂²	semidirect
102. #11718837	C₂²	semidirect
103. #11718837	C₂²	semidirect
105. #11718834	C₂²	semidirect
106. #11718833	C₂²	semidirect
107. #11718831	C₂²	semidirect
108. #11718831	C₂²	semidirect
109. #11718830	C₂²	semidirect
110. #11718830	C₂²	semidirect
111. #11718826	C₂²	semidirect
112. #11718825	C₂²	semidirect
113. #11718825	C₂²	semidirect
114. #11718824	C₂²	semidirect
115. SD₁₆×Dic₁₃	C₂²	semidirect
116. #11718820	C₂²	semidirect
118. #11718818	C₂²	semidirect
119. #11718817	C₂²	semidirect
120. #11718813	C₂²	semidirect
121. #11718812	C₂²	semidirect
123. #11718811	C₂²	semidirect
124. #11718811	C₂²	semidirect
125. #11718811	C₂²	semidirect
126. #11718748	C₂²	semidirect
127. #11718745	C₂²	semidirect
128. #11718736	C₂²	semidirect
129. #11718736	C₂²	semidirect
130. #11718733	C₂²	semidirect
131. #11718733	C₂²	semidirect
132. #11718718	C₂²	semidirect
133. #11718718	C₂²	semidirect
134. #11718718	C₂²	semidirect
135. #11718718	C₂²	semidirect
136. #11718715	C₂²	semidirect
137. #11718715	C₂²	semidirect
138. #11718710	C₂²	semidirect
139. #11718709	C₂²	semidirect
140. #11718700	C₂²	semidirect
141. #11718699	C₂²	semidirect
142. #11718688	C₂²	semidirect
143. #11718683	C₂²	semidirect
144. #11718676	C₂²	semidirect
145. #11718670	C₂²	semidirect
146. #11718660	C₂²	semidirect
147. #11718509	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718504	C₂²	semidirect
150. #11718501	C₂²	semidirect
151. #11718500	C₂²	semidirect
152. #11718498	C₂²	semidirect
153. #11718496	C₂²	semidirect
154. #11718490	C₂²	semidirect
155. #11718476	C₂²	semidirect
156. #11718473	C₂²	semidirect
157. #11718472	C₂²	semidirect
158. #11718465	C₂²	semidirect
159. #11718461	C₂²	semidirect
160. #11718459	C₂²	semidirect
161. #11718457	C₂²	semidirect
162. #11718450	C₂²	semidirect
164. #11718445	C₂²	semidirect
166. #11718443	C₂²	semidirect
167. #11718440	C₂²	semidirect
168. #11718436	C₂²	semidirect
169. #11718434	C₂²	semidirect
170. #11718434	C₂²	semidirect
171. #11718434	C₂²	semidirect
172. #11718431	C₂²	semidirect
173. #11718431	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. #11718427	C₂²	semidirect
177. #11718425	C₂²	semidirect
178. #11718425	C₂²	semidirect
179. #11718424	C₂²	semidirect
180. #11718424	C₂²	semidirect
182. #11718423	C₂²	semidirect
183. #11718423	C₂²	semidirect
184. #11718419	C₂²	semidirect
185. #11718418	C₂²	semidirect
186. #11718418	C₂²	semidirect
187. #11718397	C₂²	semidirect
188. #11718396	C₂²	semidirect
189. #11718395	C₂²	semidirect
190. #11718395	C₂²	semidirect
191. #11718391	C₂²	semidirect
192. #11718391	C₂²	semidirect
193. #11718390	C₂²	semidirect
194. #11718389	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718367	C₂²	semidirect
198. #11718362	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718349	C₂²	semidirect
202. #11718340	C₂²	semidirect
731. #3224	D₁₃	semidirect
903. #542	C₂×D₁₃	semidirect
926. #496	C₂×D₁₃	semidirect
927. #495	C₂×D₁₃	semidirect
932. #489	C₂×D₁₃	semidirect
934. #486	C₂×D₁₃	semidirect
968. #464	C₂×D₁₃	semidirect
974. #463	C₂×D₁₃	semidirect
983. #460	C₂×D₁₃	semidirect
992. #459	C₂×D₁₃	semidirect
994. #452	C₂×D₁₃	semidirect
997. #450	C₂×D₁₃	semidirect
1003. #449	C₂×D₁₃	semidirect
1010. #447	C₂×D₁₃	semidirect
1032. #433	C₂×D₁₃	semidirect
1619. C₁₃	#62081	semidirect

Maximal subgroups

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

subgroup	index
#13129162	2
#13128943	2
#13127927	2
#13127875	2
#13127603	2
#13127570	2
#13127077	2
#13127045	2
#13126991	2
#13126981	2
#13126861	2
#13126835	2
#13126466	2
#13126454	2
#13126425	2
#13126380	2
#13126330	2
#13126329	2
#13126273	2
#13126247	2
#13126235	2
#13125883	2
#13125858	2
#13125125	2
#13125037	2
#13124942	2
#13124371	2
#13124355	2
#13124311	2
#13124001	2
C₁₃×#3224	2
#62081	13