Subgroups — #16729202

Order 3328.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128981	C₂	1	1	yes	maximal, characteristic
2	#13124007	C₂	1	1	yes	maximal, characteristic, complemented
3	#13124007	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123993	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123990	C₂	1	1	yes	maximal, characteristic, complemented
6	#13123987	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123986	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123985	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123979	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123976	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123971	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123940	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123937	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123934	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123929	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123928	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123837	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123833	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123830	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123827	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123826	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123817	C₂	1	1	yes	maximal, characteristic, complemented
23	#13123815	C₂	1	1	yes	maximal, characteristic, complemented
24	#13123806	C₂	1	1	yes	maximal, characteristic, complemented
25	#13123804	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123784	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123780	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123776	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123772	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123768	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#529	C₂²	1	1	yes	characteristic
33	#11719417	C₄	1	1	yes	characteristic
34	#11719417	C₄	1	1	yes	characteristic
35	#11719417	C₄	1	1	yes	characteristic
36	#11719417	C₄	1	1	yes	characteristic
37	#11719404	C₄	1	1	yes	characteristic
38	C₁₃⋊#564	C₄	1	1	yes	characteristic
39	#11719389	C₄	1	1	yes	characteristic
40	#11719377	C₄	1	1	yes	characteristic
41	#11719372	C₄	1	1	yes	characteristic
42	#11719372	C₄	1	1	yes	characteristic
43	#11719356	C₄	1	1	yes	characteristic
44	#11719356	C₄	1	1	yes	characteristic
45	#11719351	C₄	1	1	yes	characteristic
46	#11719351	C₄	1	1	yes	characteristic
47	#11719326	C₄	1	1	yes	characteristic
48	#11719326	C₄	1	1	yes	characteristic
49	#11719283	C₂²	1	1	yes	characteristic
50	#11719283	C₂²	1	1	yes	characteristic
51	#11719262	C₂²	1	1	yes	characteristic
52	#11719262	C₂²	1	1	yes	characteristic
53	#11719243	C₂²	1	1	yes	characteristic
54	#11719243	C₂²	1	1	yes	characteristic
55	#11719243	C₂²	1	1	yes	characteristic
56	#11719243	C₂²	1	1	yes	characteristic
57	#11719233	C₂²	1	1	yes	characteristic
58	#11719233	C₂²	1	1	yes	characteristic
59	#11719222	C₂²	1	1	yes	characteristic
60	#11719222	C₂²	1	1	yes	characteristic
61	#11719184	C₂²	1	1	yes	characteristic
62	#11719175	C₂²	1	1	yes	characteristic
63	C₁₃×#446	C₂²	1	1	yes	characteristic
64	C₁₃×#446	C₂²	1	1	yes	characteristic
65	C₁₃×#435	C₂²	1	1	yes	characteristic
66	C₁₃×#435	C₂²	1	1	yes	characteristic
67	C₁₃×#435	C₂²	1	1	yes	characteristic
68	C₁₃×#435	C₂²	1	1	yes	characteristic
69	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
70	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
71	C₁₃×#433	C₂²	1	1	yes	characteristic
72	C₁₃×#433	C₂²	1	1	yes	characteristic
73	C₁₃×#431	C₂²	1	1	yes	characteristic
74	C₁₃×#405	C₂²	1	1	yes	characteristic
75	C₁₃×#405	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
77	#11718789	C₂²	1	1	yes	characteristic
78	#11718788	C₂²	1	1	yes	characteristic
79	#11718788	C₂²	1	1	yes	characteristic
80	#11718788	C₂²	1	1	yes	characteristic
81	#11718783	C₂²	1	1	yes	characteristic
82	#11718780	C₂²	1	1	yes	characteristic
83	#11718779	C₂²	1	1	yes	characteristic
84	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
85	#11718772	C₂²	1	1	yes	characteristic
86	#11718772	C₂²	1	1	yes	characteristic
87	#11718772	C₂²	1	1	yes	characteristic
88	#11718772	C₂²	1	1	yes	characteristic
89	#11718772	C₂²	1	1	yes	characteristic
90	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
91	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
92	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
93	#11718763	C₂²	1	1	yes	characteristic
94	#11718763	C₂²	1	1	yes	characteristic
95	#11718763	C₂²	1	1	yes	characteristic
96	#11718762	C₂²	1	1	yes	characteristic
97	#11718762	C₂²	1	1	yes	characteristic
98	#11718762	C₂²	1	1	yes	characteristic
99	C₂×#88054	C₂²	1	1	yes	characteristic
100	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
101	#11718685	C₂²	1	1	yes	characteristic
102	Q₈×#1055	C₂²	1	1	yes	characteristic
103	#11718673	C₂²	1	1	yes	characteristic
104	#11718673	C₂²	1	1	yes	characteristic
105	#11718673	C₂²	1	1	yes	characteristic
106	#11718672	C₂²	1	1	yes	characteristic
107	#11718672	C₂²	1	1	yes	characteristic
108	D₄×#1055	C₂²	1	1	yes	characteristic
109	#11718661	C₂²	1	1	yes	characteristic
110	#11718661	C₂²	1	1	yes	characteristic
111	#11718660	C₂²	1	1	yes	characteristic
112	#11718660	C₂²	1	1	yes	characteristic
113	#11718586	C₂²	1	1	yes	characteristic
114	#11718585	C₂²	1	1	yes	characteristic
115	#11718501	C₂²	1	1	yes	characteristic
116	#11718501	C₂²	1	1	yes	characteristic
117	#11718501	C₂²	1	1	yes	characteristic
118	#11718501	C₂²	1	1	yes	characteristic
119	#11718500	C₂²	1	1	yes	characteristic
120	#11718500	C₂²	1	1	yes	characteristic
121	#11718500	C₂²	1	1	yes	characteristic
122	#11718500	C₂²	1	1	yes	characteristic
123	#11718498	C₂²	1	1	yes	characteristic
124	#11718494	C₂²	1	1	yes	characteristic
125	#11718494	C₂²	1	1	yes	characteristic
126	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
127	#11718492	C₂²	1	1	yes	characteristic
128	#11718492	C₂²	1	1	yes	characteristic
129	#11718492	C₂²	1	1	yes	characteristic
130	#11718492	C₂²	1	1	yes	characteristic
131	#11718492	C₂²	1	1	yes	characteristic
132	#11718491	C₂²	1	1	yes	characteristic
133	#11718491	C₂²	1	1	yes	characteristic
134	#11718491	C₂²	1	1	yes	characteristic
135	#11718489	C₂²	1	1	yes	characteristic
136	#11718489	C₂²	1	1	yes	characteristic
137	#11718489	C₂²	1	1	yes	characteristic
138	#11718489	C₂²	1	1	yes	characteristic
139	#11718391	C₂²	1	1	yes	characteristic
140	#11718390	C₂²	1	1	yes	characteristic
141	#11718390	C₂²	1	1	yes	characteristic
142	#11718390	C₂²	1	1	yes	characteristic
143	#11718390	C₂²	1	1	yes	characteristic
144	#11718390	C₂²	1	1	yes	characteristic
145	#11718389	C₂²	1	1	yes	characteristic
146	#11718389	C₂²	1	1	yes	characteristic
147	#11718389	C₂²	1	1	yes	characteristic
148	#11718386	C₂²	1	1	yes	characteristic
149	#11718386	C₂²	1	1	yes	characteristic
150	#11718386	C₂²	1	1	yes	characteristic
151	#11718381	C₂²	1	1	yes	characteristic
152	#11718381	C₂²	1	1	yes	characteristic
153	#11718381	C₂²	1	1	yes	characteristic
154	#11718381	C₂²	1	1	yes	characteristic
155	#11718381	C₂²	1	1	yes	characteristic
156	#11718381	C₂²	1	1	yes	characteristic
157	#11718381	C₂²	1	1	yes	characteristic
158	#11718381	C₂²	1	1	yes	characteristic
159	#11718380	C₂²	1	1	yes	characteristic
160	#11718380	C₂²	1	1	yes	characteristic
161	#11718380	C₂²	1	1	yes	characteristic
162	#11718379	C₂²	1	1	yes	characteristic
163	#11718370	C₂²	1	1	yes	characteristic
164	#11718370	C₂²	1	1	yes	characteristic
165	#11718370	C₂²	1	1	yes	characteristic
166	#11718369	C₂²	1	1	yes	characteristic
167	#11718369	C₂²	1	1	yes	characteristic
168	#11718369	C₂²	1	1	yes	characteristic
169	#11718367	C₂²	1	1	yes	characteristic
170	#11718367	C₂²	1	1	yes	characteristic
171	#11718366	C₂²	1	1	yes	characteristic
172	D₁₃×#97	C₂²	1	1	yes	characteristic
173	#11718362	C₂²	1	1	yes	characteristic
174	#11718362	C₂²	1	1	yes	characteristic
175	#11718362	C₂²	1	1	yes	characteristic
176	#11718362	C₂²	1	1	yes	characteristic
177	#11718362	C₂²	1	1	yes	characteristic
178	#11718362	C₂²	1	1	yes	characteristic
179	#11718362	C₂²	1	1	yes	characteristic
180	#11718362	C₂²	1	1	yes	characteristic
181	#11718362	C₂²	1	1	yes	characteristic
182	#11718362	C₂²	1	1	yes	characteristic
183	#11718362	C₂²	1	1	yes	characteristic
184	#11718362	C₂²	1	1	yes	characteristic
185	#11718362	C₂²	1	1	yes	characteristic
186	#11718362	C₂²	1	1	yes	characteristic
187	#11718351	C₂²	1	1	yes	characteristic
188	#11718350	C₂²	1	1	yes	characteristic
189	#11718349	C₂²	1	1	yes	characteristic
190	C₄×#6094	C₂²	1	1	yes	characteristic
191	C₈×D₅₂	C₂²	1	1	yes	characteristic
192	#11718346	C₂²	1	1	yes	characteristic
193	#11718340	C₂²	1	1	yes	characteristic
194	#11718340	C₂²	1	1	yes	characteristic
195	#11718340	C₂²	1	1	yes	characteristic
196	#11718340	C₂²	1	1	yes	characteristic
197	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
198	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
199	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
200	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
201	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
202	C₈×Dic₂₆	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
205	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
210	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
211	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
212	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
213	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
214	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
215	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
221	C₁₃×#117	C₂³	1	1	yes	characteristic
222	C₁₃×#117	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	#88200	C₂×C₄	1	1	yes	characteristic
225	#88200	C₂×C₄	1	1	yes	characteristic
226	#88198	C₂×C₄	1	1	yes	characteristic
227	#88198	C₂×C₄	1	1	yes	characteristic
228	#88193	C₂×C₄	1	1	yes	characteristic
229	#88193	C₂×C₄	1	1	yes	characteristic
230	#88193	C₂×C₄	1	1	yes	characteristic
231	#88193	C₂×C₄	1	1	yes	characteristic
232	#88192	C₂×C₄	1	1	yes	characteristic
233	#88192	C₂×C₄	1	1	yes	characteristic
234	#88190	C₂×C₄	1	1	yes	characteristic
235	#88190	C₂×C₄	1	1	yes	characteristic
236	#88189	C₂×C₄	1	1	yes	characteristic
237	#88189	C₂×C₄	1	1	yes	characteristic
238	#88189	C₂×C₄	1	1	yes	characteristic
239	#88189	C₂×C₄	1	1	yes	characteristic
240	#88184	C₂×C₄	1	1	yes	characteristic
241	#88183	C₂×C₄	1	1	yes	characteristic
242	#88183	C₂×C₄	1	1	yes	characteristic
243	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
244	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
245	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
246	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
247	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
248	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
249	#88180	C₂³	1	1	yes	characteristic
250	#88180	C₂³	1	1	yes	characteristic
251	#88180	C₂³	1	1	yes	characteristic
252	#88180	C₂³	1	1	yes	characteristic
253	#88178	C₂×C₄	1	1	yes	characteristic
254	#88178	C₂×C₄	1	1	yes	characteristic
255	#88178	C₂×C₄	1	1	yes	characteristic
256	#88178	C₂×C₄	1	1	yes	characteristic
257	#88178	C₂×C₄	1	1	yes	characteristic
258	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×#6099	C₂³	1	1	yes	characteristic
261	C₂×#6099	C₂³	1	1	yes	characteristic
262	C₂×#6099	C₂³	1	1	yes	characteristic
263	C₂×#6099	C₂³	1	1	yes	characteristic
264	C₂²×#1055	C₂³	1	1	yes	characteristic
265	C₂²×#1055	C₂³	1	1	yes	characteristic
266	C₂×#6094	C₂³	1	1	yes	characteristic
267	C₂×#6094	C₂³	1	1	yes	characteristic
268	C₂×#6094	C₂³	1	1	yes	characteristic
269	C₂×#6094	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
274	#88152	C₂×C₄	1	1	yes	characteristic
275	#88152	C₂×C₄	1	1	yes	characteristic
276	#88152	C₂×C₄	1	1	yes	characteristic
277	#88152	C₂×C₄	1	1	yes	characteristic
278	#88152	C₂×C₄	1	1	yes	characteristic
279	#88152	C₂×C₄	1	1	yes	characteristic
280	#88151	C₂×C₄	1	1	yes	characteristic
281	#88151	C₂×C₄	1	1	yes	characteristic
282	#88151	C₂×C₄	1	1	yes	characteristic
283	#88151	C₂×C₄	1	1	yes	characteristic
284	#88150	C₂×C₄	1	1	yes	characteristic
285	#88150	C₂×C₄	1	1	yes	characteristic
286	#88150	C₂×C₄	1	1	yes	characteristic
287	#88150	C₂×C₄	1	1	yes	characteristic
288	#88150	C₂×C₄	1	1	yes	characteristic
289	#88150	C₂×C₄	1	1	yes	characteristic
290	#88148	C₂×C₄	1	1	yes	characteristic
291	#88148	C₂×C₄	1	1	yes	characteristic
292	#88144	C₂×C₄	1	1	yes	characteristic
293	#88144	C₂×C₄	1	1	yes	characteristic
294	#88144	C₂×C₄	1	1	yes	characteristic
295	#88144	C₂×C₄	1	1	yes	characteristic
296	#88144	C₂×C₄	1	1	yes	characteristic
297	#88144	C₂×C₄	1	1	yes	characteristic
298	#88143	C₂×C₄	1	1	yes	characteristic
299	#88143	C₂×C₄	1	1	yes	characteristic
300	#88143	C₂×C₄	1	1	yes	characteristic
301	#88143	C₂×C₄	1	1	yes	characteristic
302	#88143	C₂×C₄	1	1	yes	characteristic
303	#88143	C₂×C₄	1	1	yes	characteristic
304	#88143	C₂×C₄	1	1	yes	characteristic
305	#88143	C₂×C₄	1	1	yes	characteristic
306	#88143	C₂×C₄	1	1	yes	characteristic
307	#88143	C₂×C₄	1	1	yes	characteristic
308	#88142	C₂×C₄	1	1	yes	characteristic
309	#88142	C₂×C₄	1	1	yes	characteristic
310	#88142	C₂×C₄	1	1	yes	characteristic
311	#88142	C₂×C₄	1	1	yes	characteristic
312	#88142	C₂×C₄	1	1	yes	characteristic
313	#88142	C₂×C₄	1	1	yes	characteristic
314	#88140	C₂×C₄	1	1	yes	characteristic
315	#88140	C₂×C₄	1	1	yes	characteristic
316	#88140	C₂×C₄	1	1	yes	characteristic
317	#88140	C₂×C₄	1	1	yes	characteristic
318	#88139	C₂×C₄	1	1	yes	characteristic
319	#88139	C₂×C₄	1	1	yes	characteristic
320	#88139	C₂×C₄	1	1	yes	characteristic
321	#88139	C₂×C₄	1	1	yes	characteristic
322	#88139	C₂×C₄	1	1	yes	characteristic
323	#88139	C₂×C₄	1	1	yes	characteristic
324	#88138	C₂×C₄	1	1	yes	characteristic
325	#88138	C₂×C₄	1	1	yes	characteristic
326	#88137	C₂×C₄	1	1	yes	characteristic
327	#88137	C₂×C₄	1	1	yes	characteristic
328	#88137	C₂×C₄	1	1	yes	characteristic
329	#88137	C₂×C₄	1	1	yes	characteristic
330	#88137	C₂×C₄	1	1	yes	characteristic
331	#88137	C₂×C₄	1	1	yes	characteristic
332	#88133	C₂×C₄	1	1	yes	characteristic
333	#88133	C₂×C₄	1	1	yes	characteristic
334	#88133	C₂×C₄	1	1	yes	characteristic
335	#88133	C₂×C₄	1	1	yes	characteristic
336	#88133	C₂×C₄	1	1	yes	characteristic
337	#88133	C₂×C₄	1	1	yes	characteristic
338	#88133	C₂×C₄	1	1	yes	characteristic
339	#88133	C₂×C₄	1	1	yes	characteristic
340	#88133	C₂×C₄	1	1	yes	characteristic
341	#88133	C₂×C₄	1	1	yes	characteristic
342	#88132	C₂×C₄	1	1	yes	characteristic
343	#88132	C₂×C₄	1	1	yes	characteristic
344	#88132	C₂×C₄	1	1	yes	characteristic
345	#88132	C₂×C₄	1	1	yes	characteristic
346	#88132	C₂×C₄	1	1	yes	characteristic
347	#88132	C₂×C₄	1	1	yes	characteristic
348	#88132	C₂×C₄	1	1	yes	characteristic
349	#88132	C₂×C₄	1	1	yes	characteristic
350	#88132	C₂×C₄	1	1	yes	characteristic
351	#88132	C₂×C₄	1	1	yes	characteristic
352	#88132	C₂×C₄	1	1	yes	characteristic
353	#88132	C₂×C₄	1	1	yes	characteristic
354	#88130	C₂×C₄	1	1	yes	characteristic
355	#88130	C₂×C₄	1	1	yes	characteristic
356	#88129	C₂×C₄	1	1	yes	characteristic
357	C₄×D₅₂	C₂³	1	1	yes	characteristic
358	#88126	C₂³	1	1	yes	characteristic
359	#88126	C₂³	1	1	yes	characteristic
360	#88126	C₂³	1	1	yes	characteristic
361	#88126	C₂³	1	1	yes	characteristic
362	C₄²×D₁₃	C₂³	1	1	yes	characteristic
363	C₄²×D₁₃	C₂³	1	1	yes	characteristic
364	#88124	C₂×C₄	1	1	yes	characteristic
365	#88124	C₂×C₄	1	1	yes	characteristic
366	#88124	C₂×C₄	1	1	yes	characteristic
367	#88123	C₂×C₄	1	1	yes	characteristic
368	#88123	C₂×C₄	1	1	yes	characteristic
369	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
370	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
371	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
372	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
373	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
374	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
375	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
376	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
377	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
378	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
379	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
380	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
381	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
382	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
385	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
386	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
387	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
388	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
389	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
390	C₁₃×#97	C₂³	1	1	yes	characteristic
391	C₁₃×#97	C₂³	1	1	yes	characteristic
392	C₁₃×#97	C₂³	1	1	yes	characteristic
393	C₁₃×#97	C₂³	1	1	yes	characteristic
394	C₁₃×#97	C₂³	1	1	yes	characteristic
395	C₁₃×#97	C₂³	1	1	yes	characteristic
396	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
397	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
398	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
399	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
400	C₂²⋊#1055	C₂³	1	1	yes	characteristic
401	C₂²⋊#1055	C₂³	1	1	yes	characteristic
402	C₂²⋊#1055	C₂³	1	1	yes	characteristic
403	C₂²⋊#1055	C₂³	1	1	yes	characteristic
404	C₂²⋊#1055	C₂³	1	1	yes	characteristic
405	C₂²⋊#1055	C₂³	1	1	yes	characteristic
406	#88060	C₂³	1	1	yes	characteristic
407	#88060	C₂³	1	1	yes	characteristic
408	#88060	C₂³	1	1	yes	characteristic
409	#88060	C₂³	1	1	yes	characteristic
410	#88060	C₂³	1	1	yes	characteristic
411	#88060	C₂³	1	1	yes	characteristic
412	#88060	C₂³	1	1	yes	characteristic
413	#88060	C₂³	1	1	yes	characteristic
414	#88055	C₂³	1	1	yes	characteristic
415	#88055	C₂³	1	1	yes	characteristic
416	#88055	C₂³	1	1	yes	characteristic
417	#88055	C₂³	1	1	yes	characteristic
418	#88055	C₂³	1	1	yes	characteristic
419	#88055	C₂³	1	1	yes	characteristic
420	#88055	C₂³	1	1	yes	characteristic
421	#88055	C₂³	1	1	yes	characteristic
422	#88055	C₂³	1	1	yes	characteristic
423	#88055	C₂³	1	1	yes	characteristic
424	#88055	C₂³	1	1	yes	characteristic
425	#88055	C₂³	1	1	yes	characteristic
426	#88054	C₂³	1	1	yes	characteristic
427	#88054	C₂³	1	1	yes	characteristic
428	#88054	C₂³	1	1	yes	characteristic
429	#88054	C₂³	1	1	yes	characteristic
430	#88054	C₂³	1	1	yes	characteristic
431	#88054	C₂³	1	1	yes	characteristic
432	#88054	C₂³	1	1	yes	characteristic
433	#88054	C₂³	1	1	yes	characteristic
434	#88054	C₂³	1	1	yes	characteristic
435	#88054	C₂³	1	1	yes	characteristic
436	#88054	C₂³	1	1	yes	characteristic
437	#88054	C₂³	1	1	yes	characteristic
438	#88054	C₂³	1	1	yes	characteristic
439	#88054	C₂³	1	1	yes	characteristic
440	#88054	C₂³	1	1	yes	characteristic
441	#88054	C₂³	1	1	yes	characteristic
442	#88054	C₂³	1	1	yes	characteristic
443	#88054	C₂³	1	1	yes	characteristic
444	#88054	C₂³	1	1	yes	characteristic
445	#88054	C₂³	1	1	yes	characteristic
446	#88054	C₂³	1	1	yes	characteristic
447	#88054	C₂³	1	1	yes	characteristic
448	#88054	C₂³	1	1	yes	characteristic
449	#88054	C₂³	1	1	yes	characteristic
450	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
451	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
452	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
453	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
454	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
455	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
456	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
457	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
462	C₄⋊#1055	C₂³	1	1	yes	characteristic
463	C₄⋊#1055	C₂³	1	1	yes	characteristic
464	C₄⋊#1055	C₂³	1	1	yes	characteristic
465	C₄⋊#1055	C₂³	1	1	yes	characteristic
466	C₄⋊#1055	C₂³	1	1	yes	characteristic
467	C₄⋊#1055	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	C₄⋊#1055	C₂³	1	1	yes	characteristic
472	#88043	C₂³	1	1	yes	characteristic
473	#88043	C₂³	1	1	yes	characteristic
474	C₄×#1055	C₂³	1	1	yes	characteristic
475	C₄×#1055	C₂³	1	1	yes	characteristic
476	C₄×#1055	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	#60346	—	13	1	no	maximal, Sylow
479	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
482	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
484	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
485	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
506	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
507	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
508	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
509	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
510	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
511	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
512	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
513	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
514	C₁₃×M₁₆	—	2	2	no	—
515	C₁₃×M₁₆	—	4	1	no	—
516	C₂×C₈×C₁₃	—	2	2	no	—
517	C₂×C₈×C₁₃	—	2	2	no	—
518	C₂×C₈×C₁₃	—	4	1	no	—
519	C₂×C₈×C₁₃	—	4	1	no	—
520	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
549	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
550	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
555	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
556	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
557	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
558	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
559	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
560	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
561	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
562	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
563	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
564	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
565	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
566	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
567	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
568	#6103	C₂²×C₄	1	1	yes	characteristic
569	#6103	C₂²×C₄	1	1	yes	characteristic
570	#6103	C₂²×C₄	1	1	yes	characteristic
571	#6103	C₂²×C₄	1	1	yes	characteristic
572	#6103	C₂²×C₄	1	1	yes	characteristic
573	#6103	C₂²×C₄	1	1	yes	characteristic
574	#6103	C₂²×C₄	1	1	yes	characteristic
575	#6103	C₂²×C₄	1	1	yes	characteristic
576	#6103	C₂²×C₄	1	1	yes	characteristic
577	#6103	C₂²×C₄	1	1	yes	characteristic
578	#6103	C₂²×C₄	1	1	yes	characteristic
579	#6103	C₂²×C₄	1	1	yes	characteristic
580	#6103	C₂²×C₄	1	1	yes	characteristic
581	#6103	C₂²×C₄	1	1	yes	characteristic
582	#6103	C₂²×C₄	1	1	yes	characteristic
583	#6103	C₂²×C₄	1	1	yes	characteristic
584	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
598	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
599	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
600	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
601	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
602	#6101	C₂²×C₄	1	1	yes	characteristic
603	#6101	C₂²×C₄	1	1	yes	characteristic
604	#6101	C₂²×C₄	1	1	yes	characteristic
605	#6101	C₂²×C₄	1	1	yes	characteristic
606	#6101	C₂²×C₄	1	1	yes	characteristic
607	#6101	C₂²×C₄	1	1	yes	characteristic
608	#6101	C₂²×C₄	1	1	yes	characteristic
609	#6101	C₂²×C₄	1	1	yes	characteristic
610	#6101	C₂²×C₄	1	1	yes	characteristic
611	#6101	C₂²×C₄	1	1	yes	characteristic
612	#6101	C₂²×C₄	1	1	yes	characteristic
613	#6101	C₂²×C₄	1	1	yes	characteristic
614	#6101	C₂²×C₄	1	1	yes	characteristic
615	#6101	C₂²×C₄	1	1	yes	characteristic
616	#6101	C₂²×C₄	1	1	yes	characteristic
617	#6101	C₂²×C₄	1	1	yes	characteristic
618	#6101	C₂²×C₄	1	1	yes	characteristic
619	#6101	C₂²×C₄	1	1	yes	characteristic
620	#6101	C₂²×C₄	1	1	yes	characteristic
621	#6101	C₂²×C₄	1	1	yes	characteristic
622	#6101	C₂²×C₄	1	1	yes	characteristic
623	#6101	C₂²×C₄	1	1	yes	characteristic
624	#6101	C₂²×C₄	1	1	yes	characteristic
625	#6101	C₂²×C₄	1	1	yes	characteristic
626	#6101	C₂²×C₄	1	1	yes	characteristic
627	#6101	C₂²×C₄	1	1	yes	characteristic
628	#6101	C₂²×C₄	1	1	yes	characteristic
629	#6101	C₂²×C₄	1	1	yes	characteristic
630	#6101	C₂²×C₄	1	1	yes	characteristic
631	#6101	C₂²×C₄	1	1	yes	characteristic
632	#6101	C₂²×C₄	1	1	yes	characteristic
633	#6101	C₂²×C₄	1	1	yes	characteristic
634	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
635	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
636	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
637	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
638	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
639	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
640	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
641	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
642	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
643	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
644	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
645	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
646	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
647	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
648	#6099	—	4	1	no	—
649	#6099	—	4	1	no	—
650	#6099	—	4	1	no	—
651	#6099	—	4	1	no	—
652	C₂×#1055	—	4	1	no	—
653	C₂×#1055	—	4	1	no	—
654	C₂×#1055	C₂⁴	1	1	yes	characteristic
655	C₂×#1055	C₂⁴	1	1	yes	characteristic
656	C₂×#1055	C₂⁴	1	1	yes	characteristic
657	C₂×#1055	C₂⁴	1	1	yes	characteristic
658	C₂×#1055	C₂⁴	1	1	yes	characteristic
659	C₂×#1055	C₂⁴	1	1	yes	characteristic
660	C₂×#1055	C₂⁴	1	1	yes	characteristic
661	C₂×#1055	C₂⁴	1	1	yes	characteristic
662	#6094	—	2	2	no	—
663	#6094	—	4	1	no	—
664	#6094	—	4	1	no	—
665	#6094	—	4	1	no	—
666	C₈×D₁₃	—	2	2	no	—
667	C₈×D₁₃	—	4	1	no	—
668	C₈×D₁₃	—	4	1	no	—
669	C₈×D₁₃	—	4	1	no	—
670	#3531	—	13	1	no	—
671	#2995	—	13	1	no	—
672	#2995	—	13	1	no	—
673	#2994	—	13	1	no	—
674	#2994	—	13	1	no	—
675	#2993	—	13	1	no	—
676	#2993	—	13	1	no	—
677	#2993	—	13	1	no	—
678	#2993	—	13	1	no	—
679	#2992	—	13	1	no	—
680	#2992	—	13	1	no	—
681	#2987	—	13	1	no	—
682	#2986	—	13	1	no	—
683	#2986	—	13	1	no	—
684	#2985	—	13	1	no	—
685	#2985	—	13	1	no	—
686	#2969	—	13	1	no	—
687	#2969	—	13	1	no	—
688	#2968	—	13	1	no	—
689	#2968	—	13	1	no	—
690	#2968	—	13	1	no	—
691	#2968	D₁₃	1	1	yes	characteristic, complemented
692	#2967	—	13	1	no	—
693	#2967	—	13	1	no	—
694	#2966	—	13	1	no	—
695	#2966	—	13	1	no	—
696	#2962	—	13	1	no	—
697	#2962	—	13	1	no	—
698	#2961	—	13	1	no	—
699	#2961	—	13	1	no	—
700	#2960	—	13	1	no	—
701	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
702	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
703	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
704	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
705	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
706	Q₈×C₁₃	—	4	1	no	—
707	D₄×C₁₃	—	4	1	no	—
708	D₄×C₁₃	—	4	1	no	—
709	D₄×C₁₃	—	4	1	no	—
710	C₂×C₄×C₁₃	—	2	1	no	—
711	C₂×C₄×C₁₃	—	2	1	no	—
712	C₂×C₄×C₁₃	—	2	1	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	2	1	no	—
716	C₂×C₄×C₁₃	—	4	1	no	—
717	C₂×C₄×C₁₃	—	4	1	no	—
718	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
729	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
730	C₂²⋊D₁₃	—	4	1	no	—
731	C₂²⋊D₁₃	—	4	1	no	—
732	C₂²⋊D₁₃	—	4	1	no	—
733	C₂²⋊D₁₃	—	4	1	no	—
734	C₂²⋊D₁₃	—	4	1	no	—
735	C₂²⋊D₁₃	—	4	1	no	—
736	C₂×Dic₁₃	—	4	1	no	—
737	C₂×Dic₁₃	—	4	1	no	—
738	C₂×Dic₁₃	—	4	1	no	—
739	C₂×Dic₁₃	—	4	1	no	—
740	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
741	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
742	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
754	D₅₂	—	4	1	no	—
755	C₄×D₁₃	—	2	1	no	—
756	C₄×D₁₃	—	2	1	no	—
757	C₄×D₁₃	—	2	1	no	—
758	C₄×D₁₃	—	2	1	no	—
759	C₄×D₁₃	—	4	1	no	—
760	C₄×D₁₃	—	4	1	no	—
761	C₄×D₁₃	—	4	1	no	—
762	C₄×D₁₃	—	4	1	no	—
763	Dic₂₆	—	4	1	no	—
764	Dic₂₆	—	4	1	no	—
765	Dic₂₆	—	4	1	no	—
766	Dic₂₆	—	4	1	no	—
767	Dic₂₆	—	4	1	no	—
768	Dic₂₆	—	4	1	no	—
769	Dic₂₆	—	4	1	no	—
770	Dic₂₆	—	4	1	no	—
771	Dic₂₆	—	4	1	no	—
772	C₈×C₁₃	—	2	1	no	—
773	C₈×C₁₃	—	2	1	no	—
774	C₈×C₁₃	—	2	1	no	—
775	C₈×C₁₃	—	2	1	no	—
776	C₈×C₁₃	—	2	1	no	—
777	C₈×C₁₃	—	2	1	no	—
778	C₈×C₁₃	—	2	1	no	—
779	C₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
780	#1055	—	2	1	no	—
781	#1055	—	2	1	no	—
782	#1055	—	2	1	no	—
783	#1055	—	2	1	no	—
784	#1055	—	2	1	no	—
785	#1055	—	2	1	no	—
786	#1055	—	2	1	no	—
787	#1055	—	2	1	no	—
788	#564	—	13	1	no	—
789	#563	—	13	1	no	—
790	#563	—	13	1	no	—
791	#563	—	13	1	no	—
792	#563	—	13	1	no	—
793	#563	—	13	1	no	—
794	#563	—	13	1	no	—
795	#563	—	13	1	no	—
796	#563	—	13	1	no	—
797	#563	—	13	1	no	—
798	#563	—	13	1	no	—
799	#562	—	13	1	no	—
800	#562	—	13	1	no	—
801	#562	—	13	1	no	—
802	#562	—	13	1	no	—
803	#562	—	13	1	no	—
804	#533	—	13	1	no	—
805	#533	—	13	1	no	—
806	#533	—	13	1	no	—
807	#533	—	13	1	no	—
808	#533	—	13	1	no	—
809	#529	—	13	1	no	—
810	#529	—	13	1	no	—
811	#529	—	13	1	no	—
812	#529	—	13	1	no	—
813	#529	—	13	1	no	—
814	#529	—	13	1	no	—
815	#529	—	13	1	no	—
816	#529	—	13	1	no	—
817	#529	—	13	1	no	—
818	#529	C₂×D₁₃	1	1	yes	characteristic
819	#446	—	13	1	no	—
820	#446	—	13	1	no	—
821	#446	—	13	1	no	—
822	#446	—	13	1	no	—
823	#446	—	13	1	no	—
824	#446	—	13	1	no	—
825	#446	—	13	1	no	—
826	#446	—	13	1	no	—
827	#446	—	13	1	no	—
828	#446	—	13	1	no	—
829	#446	—	13	1	no	—
830	#446	—	13	1	no	—
831	#446	—	13	1	no	—
832	#446	—	13	1	no	—
833	#446	—	13	1	no	—
834	#446	—	13	1	no	—
835	#446	—	13	1	no	—
836	#446	—	13	1	no	—
837	#446	—	13	1	no	—
838	#446	—	13	1	no	—
839	#446	—	13	1	no	—
840	#446	—	13	1	no	—
841	#446	—	13	1	no	—
842	#446	—	13	1	no	—
843	#446	—	13	1	no	—
844	#446	—	13	1	no	—
845	#446	—	13	1	no	—
846	#446	—	13	1	no	—
847	#446	C₂×D₁₃	1	1	yes	characteristic
848	#446	C₂×D₁₃	1	1	yes	characteristic
849	C₈×Q₈	—	13	1	no	—
850	C₈×Q₈	—	13	1	no	—
851	C₈×Q₈	—	13	1	no	—
852	C₈×Q₈	—	13	1	no	—
853	C₈×Q₈	—	13	1	no	—
854	C₈×Q₈	—	13	1	no	—
855	C₈×Q₈	—	13	1	no	—
856	C₈×Q₈	—	13	1	no	—
857	C₈×Q₈	—	13	1	no	—
858	C₈×Q₈	—	13	1	no	—
859	#436	—	13	1	no	—
860	#436	—	13	1	no	—
861	#436	—	13	1	no	—
862	#436	—	13	1	no	—
863	#436	—	13	1	no	—
864	#436	—	13	1	no	—
865	#436	—	13	1	no	—
866	#436	—	13	1	no	—
867	#436	—	13	1	no	—
868	#436	—	13	1	no	—
869	#435	—	13	1	no	—
870	#435	—	13	1	no	—
871	#435	—	13	1	no	—
872	#435	—	13	1	no	—
873	#435	—	13	1	no	—
874	#435	—	13	1	no	—
875	#435	—	13	1	no	—
876	#435	—	13	1	no	—
877	#435	—	13	1	no	—
878	#435	—	13	1	no	—
879	#435	—	13	1	no	—
880	#435	—	13	1	no	—
881	#435	—	13	1	no	—
882	#435	—	13	1	no	—
883	#435	—	13	1	no	—
884	#435	—	13	1	no	—
885	#435	C₂×D₁₃	1	1	yes	characteristic
886	#435	C₂×D₁₃	1	1	yes	characteristic
887	#435	C₂×D₁₃	1	1	yes	characteristic
888	#435	C₂×D₁₃	1	1	yes	characteristic
889	C₈×D₄	—	13	1	no	—
890	C₈×D₄	—	13	1	no	—
891	C₈×D₄	—	13	1	no	—
892	C₈×D₄	—	13	1	no	—
893	C₈×D₄	—	13	1	no	—
894	C₈×D₄	—	13	1	no	—
895	C₈×D₄	—	13	1	no	—
896	C₈×D₄	—	13	1	no	—
897	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
898	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
899	#433	—	13	1	no	—
900	#433	—	13	1	no	—
901	#433	—	13	1	no	—
902	#433	—	13	1	no	—
903	#433	—	13	1	no	—
904	#433	—	13	1	no	—
905	#433	—	13	1	no	—
906	#433	—	13	1	no	—
907	#433	—	13	1	no	—
908	#433	—	13	1	no	—
909	#433	—	13	1	no	—
910	#433	—	13	1	no	—
911	#433	—	13	1	no	—
912	#433	—	13	1	no	—
913	#433	—	13	1	no	—
914	#433	—	13	1	no	—
915	#433	—	13	1	no	—
916	#433	—	13	1	no	—
917	#433	C₂×D₁₃	1	1	yes	characteristic
918	#433	C₂×D₁₃	1	1	yes	characteristic
919	#432	—	13	1	no	—
920	#432	—	13	1	no	—
921	#432	—	13	1	no	—
922	#432	—	13	1	no	—
923	#431	—	13	1	no	—
924	#431	—	13	1	no	—
925	#431	—	13	1	no	—
926	#431	—	13	1	no	—
927	#431	—	13	1	no	—
928	#431	C₂×D₁₃	1	1	yes	characteristic
929	#424	—	13	1	no	—
930	#424	—	13	1	no	—
931	#424	—	13	1	no	—
932	#424	—	13	1	no	—
933	#424	—	13	1	no	—
934	#424	—	13	1	no	—
935	#424	—	13	1	no	—
936	#424	—	13	1	no	—
937	#424	—	13	1	no	—
938	#424	—	13	1	no	—
939	#423	—	13	1	no	—
940	#423	—	13	1	no	—
941	#423	—	13	1	no	—
942	C₂×C₄⋊C₈	—	13	1	no	—
943	C₂×C₄⋊C₈	—	13	1	no	—
944	#405	—	13	1	no	—
945	#405	—	13	1	no	—
946	#405	—	13	1	no	—
947	#405	—	13	1	no	—
948	#405	—	13	1	no	—
949	#405	—	13	1	no	—
950	#405	—	13	1	no	—
951	#405	—	13	1	no	—
952	#405	C₂×D₁₃	1	1	yes	characteristic
953	#405	C₂×D₁₃	1	1	yes	characteristic
954	C₄×M₁₆	—	13	1	no	—
955	C₄×M₁₆	—	13	1	no	—
956	C₂×#97	—	13	1	no	—
957	C₂×#97	C₂×D₁₃	1	1	yes	characteristic
958	C₂×C₄×C₈	—	13	1	no	—
959	C₂²×C₁₃	—	2	1	no	—
960	C₂²×C₁₃	—	2	1	no	—
961	C₂²×C₁₃	—	2	1	no	—
962	C₂²×C₁₃	—	2	1	no	—
963	C₂²×C₁₃	—	2	1	no	—
964	C₂²×C₁₃	—	2	1	no	—
965	C₂²×C₁₃	—	2	1	no	—
966	C₂²×C₁₃	—	2	1	no	—
967	C₂²×C₁₃	—	2	1	no	—
968	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
969	C₂×D₁₃	—	2	1	no	—
970	C₂×D₁₃	—	2	1	no	—
971	C₂×D₁₃	—	2	1	no	—
972	C₂×D₁₃	—	2	1	no	—
973	C₂×D₁₃	—	2	1	no	—
974	C₂×D₁₃	—	2	1	no	—
975	C₄×C₁₃	—	2	1	no	—
976	C₄×C₁₃	—	2	1	no	—
977	C₄×C₁₃	—	2	1	no	—
978	C₄×C₁₃	—	2	1	no	—
979	C₄×C₁₃	—	2	1	no	—
980	C₄×C₁₃	—	2	1	no	—
981	C₄×C₁₃	—	2	1	no	—
982	C₄×C₁₃	—	2	1	no	—
983	C₄×C₁₃	—	2	1	no	—
984	C₄×C₁₃	—	2	1	no	—
985	C₄×C₁₃	—	2	1	no	—
986	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
987	C₄×C₁₃	#585	1	1	yes	characteristic
988	Dic₁₃	—	2	1	no	—
989	Dic₁₃	—	2	1	no	—
990	Dic₁₃	—	2	1	no	—
991	Dic₁₃	—	2	1	no	—
992	Dic₁₃	—	2	1	no	—
993	Dic₁₃	—	2	1	no	—
994	Dic₁₃	—	2	1	no	—
995	Dic₁₃	—	2	1	no	—
996	Dic₁₃	—	2	1	no	—
997	Dic₁₃	—	2	1	no	—
998	Dic₁₃	—	2	1	no	—
999	Dic₁₃	—	2	1	no	—
1000	Dic₁₃	—	2	1	no	—
1001	Dic₁₃	—	2	1	no	—
1002	C₂×M₁₆	—	13	1	no	—
1003	C₂×M₁₆	—	13	1	no	—
1004	C₂×M₁₆	—	13	1	no	—
1005	C₂×M₁₆	—	13	1	no	—
1006	C₂×M₁₆	—	13	1	no	—
1007	C₂×M₁₆	—	13	1	no	—
1008	C₂×M₁₆	—	13	1	no	—
1009	C₂×M₁₆	—	13	1	no	—
1010	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂²×C₈	—	13	1	no	—
1013	C₂²×C₈	—	13	1	no	—
1014	C₂²×C₈	—	13	1	no	—
1015	C₂²×C₈	—	13	1	no	—
1016	C₂²×C₈	—	13	1	no	—
1017	C₂²×C₈	—	13	1	no	—
1018	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1022	C₄⋊Q₈	—	13	1	no	—
1023	C₄⋊Q₈	—	13	1	no	—
1024	C₄⋊Q₈	—	13	1	no	—
1025	C₄⋊Q₈	—	13	1	no	—
1026	C₄⋊Q₈	—	13	1	no	—
1027	C₄⋊Q₈	—	13	1	no	—
1028	C₄⋊Q₈	—	13	1	no	—
1029	C₄⋊Q₈	—	13	1	no	—
1030	C₄⋊Q₈	—	13	1	no	—
1031	C₄⋊Q₈	—	13	1	no	—
1032	#126	—	13	1	no	—
1033	#126	—	13	1	no	—
1034	#126	—	13	1	no	—
1035	#126	—	13	1	no	—
1036	#126	—	13	1	no	—
1037	#126	—	13	1	no	—
1038	#126	—	13	1	no	—
1039	#126	—	13	1	no	—
1040	#126	—	13	1	no	—
1041	#126	—	13	1	no	—
1042	#126	—	13	1	no	—
1043	#126	—	13	1	no	—
1044	#126	—	13	1	no	—
1045	#126	—	13	1	no	—
1046	#126	—	13	1	no	—
1047	#126	—	13	1	no	—
1048	#126	—	13	1	no	—
1049	#126	—	13	1	no	—
1050	#126	C₄×D₁₃	1	1	yes	characteristic
1051	#126	C₄×D₁₃	1	1	yes	characteristic
1052	#125	—	13	1	no	—
1053	#125	—	13	1	no	—
1054	#125	—	13	1	no	—
1055	#125	—	13	1	no	—
1056	#125	—	13	1	no	—
1057	#125	—	13	1	no	—
1058	#125	—	13	1	no	—
1059	#125	—	13	1	no	—
1060	#125	—	13	1	no	—
1061	#125	—	13	1	no	—
1062	#125	—	13	1	no	—
1063	#125	—	13	1	no	—
1064	#125	—	13	1	no	—
1065	#125	—	13	1	no	—
1066	#125	—	13	1	no	—
1067	#125	—	13	1	no	—
1068	#125	—	13	1	no	—
1069	#125	—	13	1	no	—
1070	#125	—	13	1	no	—
1071	#125	C₄×D₁₃	1	1	yes	characteristic
1072	#124	—	13	1	no	—
1073	#124	—	13	1	no	—
1074	#124	—	13	1	no	—
1075	#124	—	13	1	no	—
1076	#124	—	13	1	no	—
1077	#124	—	13	1	no	—
1078	#124	—	13	1	no	—
1079	#124	—	13	1	no	—
1080	#124	—	13	1	no	—
1081	#124	C₄×D₁₃	1	1	yes	characteristic
1082	#123	—	13	1	no	—
1083	#123	—	13	1	no	—
1084	#123	—	13	1	no	—
1085	#123	—	13	1	no	—
1086	#123	—	13	1	no	—
1087	#123	—	13	1	no	—
1088	#123	—	13	1	no	—
1089	#123	—	13	1	no	—
1090	#123	—	13	1	no	—
1091	#123	—	13	1	no	—
1092	#123	—	13	1	no	—
1093	#123	—	13	1	no	—
1094	#123	—	13	1	no	—
1095	#123	—	13	1	no	—
1096	#123	—	13	1	no	—
1097	#123	—	13	1	no	—
1098	#123	—	13	1	no	—
1099	#123	—	13	1	no	—
1100	#123	C₄×D₁₃	1	1	yes	characteristic
1101	#123	C₄×D₁₃	1	1	yes	characteristic
1102	C₂²⋊Q₈	—	13	1	no	—
1103	C₂²⋊Q₈	—	13	1	no	—
1104	C₂²⋊Q₈	—	13	1	no	—
1105	C₂²⋊Q₈	—	13	1	no	—
1106	C₂²⋊Q₈	—	13	1	no	—
1107	C₂²⋊Q₈	—	13	1	no	—
1108	C₂²⋊Q₈	—	13	1	no	—
1109	C₂²⋊Q₈	—	13	1	no	—
1110	C₂²⋊Q₈	—	13	1	no	—
1111	C₂²⋊Q₈	—	13	1	no	—
1112	C₂²⋊Q₈	—	13	1	no	—
1113	C₂²⋊Q₈	—	13	1	no	—
1114	C₂²⋊Q₈	—	13	1	no	—
1115	C₂²⋊Q₈	—	13	1	no	—
1116	C₂²⋊Q₈	—	13	1	no	—
1117	C₂²⋊Q₈	—	13	1	no	—
1118	C₂²⋊Q₈	—	13	1	no	—
1119	C₂²⋊Q₈	—	13	1	no	—
1120	C₂²⋊Q₈	—	13	1	no	—
1121	C₂²⋊Q₈	—	13	1	no	—
1122	C₂²⋊Q₈	—	13	1	no	—
1123	C₂²⋊Q₈	—	13	1	no	—
1124	C₂²⋊Q₈	—	13	1	no	—
1125	C₂²⋊Q₈	—	13	1	no	—
1126	C₂²⋊Q₈	—	13	1	no	—
1127	C₂²⋊Q₈	—	13	1	no	—
1128	C₂²⋊Q₈	—	13	1	no	—
1129	C₂²⋊Q₈	—	13	1	no	—
1130	C₂²⋊Q₈	—	13	1	no	—
1131	C₂²⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
1132	#121	—	13	1	no	—
1133	#121	—	13	1	no	—
1134	#121	—	13	1	no	—
1135	#121	—	13	1	no	—
1136	#121	—	13	1	no	—
1137	#121	—	13	1	no	—
1138	#121	—	13	1	no	—
1139	#121	—	13	1	no	—
1140	#121	—	13	1	no	—
1141	#121	C₄×D₁₃	1	1	yes	characteristic
1142	C₄×Q₈	—	13	1	no	—
1143	C₄×Q₈	—	13	1	no	—
1144	C₄×Q₈	—	13	1	no	—
1145	C₄×Q₈	—	13	1	no	—
1146	C₄×Q₈	—	13	1	no	—
1147	C₄×Q₈	—	13	1	no	—
1148	C₄×Q₈	—	13	1	no	—
1149	C₄×Q₈	—	13	1	no	—
1150	C₄×Q₈	—	13	1	no	—
1151	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1152	C₄×D₄	—	13	1	no	—
1153	C₄×D₄	—	13	1	no	—
1154	C₄×D₄	—	13	1	no	—
1155	C₄×D₄	—	13	1	no	—
1156	C₄×D₄	—	13	1	no	—
1157	C₄×D₄	—	13	1	no	—
1158	C₄×D₄	—	13	1	no	—
1159	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1160	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1161	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1162	#117	—	13	1	no	—
1163	#117	—	13	1	no	—
1164	#117	—	13	1	no	—
1165	#117	—	13	1	no	—
1166	#117	—	13	1	no	—
1167	#117	—	13	1	no	—
1168	#117	—	13	1	no	—
1169	#117	—	13	1	no	—
1170	#117	C₂²×D₁₃	1	1	yes	characteristic
1171	#117	C₂²×D₁₃	1	1	yes	characteristic
1172	C₂×C₄²	—	13	1	no	—
1173	C₂×C₄²	—	13	1	no	—
1174	C₂×C₄²	—	13	1	no	—
1175	C₂×C₄²	—	13	1	no	—
1176	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1177	C₄⋊C₈	—	13	1	no	—
1178	C₄⋊C₈	—	13	1	no	—
1179	C₄⋊C₈	—	13	1	no	—
1180	C₄⋊C₈	—	13	1	no	—
1181	C₄⋊C₈	—	13	1	no	—
1182	C₄⋊C₈	—	13	1	no	—
1183	C₄⋊C₈	—	13	1	no	—
1184	C₄⋊C₈	—	13	1	no	—
1185	C₄⋊C₈	—	13	1	no	—
1186	C₄⋊C₈	—	13	1	no	—
1187	C₄⋊C₈	—	13	1	no	—
1188	C₄⋊C₈	—	13	1	no	—
1189	C₄⋊C₈	—	13	1	no	—
1190	C₄⋊C₈	—	13	1	no	—
1191	C₄⋊C₈	—	13	1	no	—
1192	C₄⋊C₈	—	13	1	no	—
1193	C₄⋊C₈	—	13	1	no	—
1194	C₄⋊C₈	—	13	1	no	—
1195	C₄⋊C₈	—	13	1	no	—
1196	C₄⋊C₈	—	13	1	no	—
1197	C₄⋊C₈	—	13	1	no	—
1198	C₄⋊C₈	—	13	1	no	—
1199	C₄⋊C₈	—	13	1	no	—
1200	C₄⋊C₈	—	13	1	no	—
1201	C₄⋊C₈	—	13	1	no	—
1202	C₄⋊C₈	—	13	1	no	—
1203	C₄⋊C₈	—	13	1	no	—
1204	C₄⋊C₈	—	13	1	no	—
1205	C₄⋊C₈	—	13	1	no	—
1206	C₄⋊C₈	—	13	1	no	—
1207	C₄⋊C₈	—	13	1	no	—
1208	C₄⋊C₈	—	13	1	no	—
1209	C₄⋊C₈	—	13	1	no	—
1210	C₄⋊C₈	—	13	1	no	—
1211	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1212	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1215	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1216	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1217	C₂²⋊C₈	—	13	1	no	—
1218	C₂²⋊C₈	—	13	1	no	—
1219	C₂²⋊C₈	—	13	1	no	—
1220	C₂²⋊C₈	—	13	1	no	—
1221	C₂²⋊C₈	—	13	1	no	—
1222	C₂²⋊C₈	—	13	1	no	—
1223	C₂²⋊C₈	—	13	1	no	—
1224	C₂²⋊C₈	—	13	1	no	—
1225	C₂²⋊C₈	—	13	1	no	—
1226	C₂²⋊C₈	—	13	1	no	—
1227	C₂²⋊C₈	—	13	1	no	—
1228	C₂²⋊C₈	—	13	1	no	—
1229	C₂²⋊C₈	—	13	1	no	—
1230	C₂²⋊C₈	—	13	1	no	—
1231	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1232	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1234	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1236	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1237	#97	—	13	1	no	—
1238	#97	—	13	1	no	—
1239	#97	—	13	1	no	—
1240	#97	—	13	1	no	—
1241	#97	—	13	1	no	—
1242	#97	—	13	1	no	—
1243	#97	—	13	1	no	—
1244	#97	—	13	1	no	—
1245	#97	—	13	1	no	—
1246	#97	—	13	1	no	—
1247	#97	—	13	1	no	—
1248	#97	—	13	1	no	—
1249	#97	—	13	1	no	—
1250	#97	—	13	1	no	—
1251	#97	C₂²×D₁₃	1	1	yes	characteristic
1252	#97	C₂²×D₁₃	1	1	yes	characteristic
1253	#97	C₂²×D₁₃	1	1	yes	characteristic
1254	#97	C₂²×D₁₃	1	1	yes	characteristic
1255	#97	C₂²×D₁₃	1	1	yes	characteristic
1256	#97	C₂²×D₁₃	1	1	yes	characteristic
1257	C₄×C₈	—	13	1	no	—
1258	C₄×C₈	—	13	1	no	—
1259	C₄×C₈	—	13	1	no	—
1260	C₄×C₈	—	13	1	no	—
1261	C₄×C₈	—	13	1	no	—
1262	C₄×C₈	—	13	1	no	—
1263	C₄×C₈	—	13	1	no	—
1264	C₄×C₈	—	13	1	no	—
1265	C₄×C₈	—	13	1	no	—
1266	C₄×C₈	—	13	1	no	—
1267	C₄×C₈	—	13	1	no	—
1268	C₄×C₈	—	13	1	no	—
1269	C₄×C₈	—	13	1	no	—
1270	C₄×C₈	—	13	1	no	—
1271	C₄×C₈	—	13	1	no	—
1272	C₄×C₈	—	13	1	no	—
1273	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1277	C₂×C₁₃	—	4	1	no	—
1278	C₂×C₁₃	—	4	1	no	—
1279	C₂×C₁₃	—	4	1	no	—
1280	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1281	C₂×C₁₃	#3573	1	1	yes	characteristic
1282	C₂×C₁₃	#3573	1	1	yes	characteristic
1283	D₁₃	—	4	1	no	—
1284	D₁₃	—	4	1	no	—
1285	C₂×Q₈	—	13	1	no	—
1286	C₂×Q₈	—	13	1	no	—
1287	C₂×Q₈	—	13	1	no	—
1288	C₂×Q₈	—	13	1	no	—
1289	C₂×Q₈	—	13	1	no	—
1290	C₂×Q₈	—	13	1	no	—
1291	C₂×Q₈	—	13	1	no	—
1292	C₂×Q₈	—	13	1	no	—
1293	C₂×Q₈	—	13	1	no	—
1294	C₂×Q₈	C₂×C₄×D₁₃	1	1	yes	characteristic
1295	C₂×D₄	—	13	1	no	—
1296	C₂×D₄	—	13	1	no	—
1297	C₂×D₄	—	13	1	no	—
1298	C₂×D₄	—	13	1	no	—
1299	C₂×D₄	—	13	1	no	—
1300	C₂×D₄	—	13	1	no	—
1301	C₂×D₄	—	13	1	no	—
1302	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1304	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1305	C₂²×C₄	—	13	1	no	—
1306	C₂²×C₄	—	13	1	no	—
1307	C₂²×C₄	—	13	1	no	—
1308	C₂²×C₄	—	13	1	no	—
1309	C₂²×C₄	—	13	1	no	—
1310	C₂²×C₄	—	13	1	no	—
1311	C₂²×C₄	—	13	1	no	—
1312	C₂²×C₄	—	13	1	no	—
1313	C₂²×C₄	—	13	1	no	—
1314	C₂²×C₄	—	13	1	no	—
1315	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1316	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1320	M₁₆	—	2	2	no	—
1321	M₁₆	—	4	1	no	—
1322	M₁₆	—	26	2	no	—
1323	M₁₆	—	52	1	no	—
1324	M₁₆	—	52	1	no	—
1325	M₁₆	—	52	1	no	—
1326	M₁₆	—	52	1	no	—
1327	M₁₆	—	52	1	no	—
1328	M₁₆	—	52	1	no	—
1329	M₁₆	—	52	1	no	—
1330	C₂×C₈	—	2	2	no	—
1331	C₂×C₈	—	2	2	no	—
1332	C₂×C₈	—	4	1	no	—
1333	C₂×C₈	—	4	1	no	—
1334	C₂×C₈	—	13	1	no	—
1335	C₂×C₈	—	13	1	no	—
1336	C₂×C₈	—	13	1	no	—
1337	C₂×C₈	—	13	1	no	—
1338	C₂×C₈	—	13	1	no	—
1339	C₂×C₈	—	13	1	no	—
1340	C₂×C₈	—	13	1	no	—
1341	C₂×C₈	—	13	1	no	—
1342	C₂×C₈	—	26	2	no	—
1343	C₂×C₈	—	52	1	no	—
1344	C₂×C₈	—	52	1	no	—
1345	C₂×C₈	—	52	1	no	—
1346	C₂×C₈	—	52	1	no	—
1347	C₂×C₈	—	52	1	no	—
1348	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1349	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1350	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1351	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1352	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1353	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1354	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1355	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1356	C₄⋊C₄	—	13	1	no	—
1357	C₄⋊C₄	—	13	1	no	—
1358	C₄⋊C₄	—	13	1	no	—
1359	C₄⋊C₄	—	13	1	no	—
1360	C₄⋊C₄	—	13	1	no	—
1361	C₄⋊C₄	—	13	1	no	—
1362	C₄⋊C₄	—	13	1	no	—
1363	C₄⋊C₄	—	13	1	no	—
1364	C₄⋊C₄	—	13	1	no	—
1365	C₄⋊C₄	—	13	1	no	—
1366	C₄⋊C₄	—	13	1	no	—
1367	C₄⋊C₄	—	13	1	no	—
1368	C₄⋊C₄	—	13	1	no	—
1369	C₄⋊C₄	—	13	1	no	—
1370	C₄⋊C₄	—	13	1	no	—
1371	C₄⋊C₄	—	13	1	no	—
1372	C₄⋊C₄	—	13	1	no	—
1373	C₄⋊C₄	—	13	1	no	—
1374	C₄⋊C₄	—	13	1	no	—
1375	C₄⋊C₄	—	13	1	no	—
1376	C₄⋊C₄	—	13	1	no	—
1377	C₄⋊C₄	—	13	1	no	—
1378	C₄⋊C₄	—	13	1	no	—
1379	C₄⋊C₄	—	13	1	no	—
1380	C₄⋊C₄	—	13	1	no	—
1381	C₄⋊C₄	—	13	1	no	—
1382	C₄⋊C₄	—	13	1	no	—
1383	C₄⋊C₄	—	13	1	no	—
1384	C₄⋊C₄	—	13	1	no	—
1385	C₄⋊C₄	—	13	1	no	—
1386	C₄⋊C₄	—	13	1	no	—
1387	C₄⋊C₄	—	13	1	no	—
1388	C₄⋊C₄	—	13	1	no	—
1389	C₄⋊C₄	—	13	1	no	—
1390	C₄⋊C₄	—	13	1	no	—
1391	C₄⋊C₄	—	13	1	no	—
1392	C₄⋊C₄	—	13	1	no	—
1393	C₄⋊C₄	—	13	1	no	—
1394	C₄⋊C₄	—	13	1	no	—
1395	C₄⋊C₄	—	13	1	no	—
1396	C₄⋊C₄	—	13	1	no	—
1397	C₄⋊C₄	—	13	1	no	—
1398	C₄⋊C₄	—	13	1	no	—
1399	C₄⋊C₄	—	13	1	no	—
1400	C₄⋊C₄	—	13	1	no	—
1401	C₄⋊C₄	—	13	1	no	—
1402	C₄⋊C₄	—	13	1	no	—
1403	C₄⋊C₄	—	13	1	no	—
1404	C₄⋊C₄	—	13	1	no	—
1405	C₄⋊C₄	—	13	1	no	—
1406	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1415	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1416	C₂²⋊C₄	—	13	1	no	—
1417	C₂²⋊C₄	—	13	1	no	—
1418	C₂²⋊C₄	—	13	1	no	—
1419	C₂²⋊C₄	—	13	1	no	—
1420	C₂²⋊C₄	—	13	1	no	—
1421	C₂²⋊C₄	—	13	1	no	—
1422	C₂²⋊C₄	—	13	1	no	—
1423	C₂²⋊C₄	—	13	1	no	—
1424	C₂²⋊C₄	—	13	1	no	—
1425	C₂²⋊C₄	—	13	1	no	—
1426	C₂²⋊C₄	—	13	1	no	—
1427	C₂²⋊C₄	—	13	1	no	—
1428	C₂²⋊C₄	—	13	1	no	—
1429	C₂²⋊C₄	—	13	1	no	—
1430	C₂²⋊C₄	—	13	1	no	—
1431	C₂²⋊C₄	—	13	1	no	—
1432	C₂²⋊C₄	—	13	1	no	—
1433	C₂²⋊C₄	—	13	1	no	—
1434	C₂²⋊C₄	—	13	1	no	—
1435	C₂²⋊C₄	—	13	1	no	—
1436	C₂²⋊C₄	—	13	1	no	—
1437	C₂²⋊C₄	—	13	1	no	—
1438	C₂²⋊C₄	—	13	1	no	—
1439	C₂²⋊C₄	—	13	1	no	—
1440	C₂²⋊C₄	—	13	1	no	—
1441	C₂²⋊C₄	—	13	1	no	—
1442	C₂²⋊C₄	—	13	1	no	—
1443	C₂²⋊C₄	—	13	1	no	—
1444	C₂²⋊C₄	—	13	1	no	—
1445	C₂²⋊C₄	—	13	1	no	—
1446	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1449	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1450	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1452	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1453	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1456	C₄²	—	13	1	no	—
1457	C₄²	—	13	1	no	—
1458	C₄²	—	13	1	no	—
1459	C₄²	—	13	1	no	—
1460	C₄²	—	13	1	no	—
1461	C₄²	—	13	1	no	—
1462	C₄²	—	13	1	no	—
1463	C₄²	—	13	1	no	—
1464	C₄²	—	13	1	no	—
1465	C₄²	—	13	1	no	—
1466	C₄²	—	13	1	no	—
1467	C₄²	—	13	1	no	—
1468	C₄²	—	13	1	no	—
1469	C₄²	—	13	1	no	—
1470	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1471	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1472	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1473	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1474	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1475	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1476	C₁₃	#60346	1	1	yes	characteristic, complemented, Sylow
1477	C₂³	—	13	1	no	—
1478	C₂³	—	13	1	no	—
1479	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1480	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1481	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1482	Q₈	—	4	1	no	—
1483	Q₈	—	52	1	no	—
1484	Q₈	—	52	1	no	—
1485	Q₈	—	52	1	no	—
1486	Q₈	—	52	1	no	—
1487	Q₈	—	52	1	no	—
1488	Q₈	—	52	1	no	—
1489	Q₈	—	52	1	no	—
1490	Q₈	—	52	1	no	—
1491	Q₈	—	52	1	no	—
1492	D₄	—	4	1	no	—
1493	D₄	—	4	1	no	—
1494	D₄	—	4	1	no	—
1495	D₄	—	52	1	no	—
1496	D₄	—	52	1	no	—
1497	D₄	—	52	1	no	—
1498	D₄	—	52	1	no	—
1499	D₄	—	52	1	no	—
1500	D₄	—	52	1	no	—
1501	D₄	—	52	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	4	1	no	—
1509	C₂×C₄	—	4	1	no	—
1510	C₂×C₄	—	13	1	no	—
1511	C₂×C₄	—	13	1	no	—
1512	C₂×C₄	—	13	1	no	—
1513	C₂×C₄	—	13	1	no	—
1514	C₂×C₄	—	13	1	no	—
1515	C₂×C₄	—	13	1	no	—
1516	C₂×C₄	—	13	1	no	—
1517	C₂×C₄	—	13	1	no	—
1518	C₂×C₄	—	13	1	no	—
1519	C₂×C₄	—	13	1	no	—
1520	C₂×C₄	—	13	1	no	—
1521	C₂×C₄	—	13	1	no	—
1522	C₂×C₄	—	13	1	no	—
1523	C₂×C₄	—	13	1	no	—
1524	C₂×C₄	—	26	1	no	—
1525	C₂×C₄	—	26	1	no	—
1526	C₂×C₄	—	26	1	no	—
1527	C₂×C₄	—	26	1	no	—
1528	C₂×C₄	—	52	1	no	—
1529	C₂×C₄	—	52	1	no	—
1530	C₂×C₄	—	52	1	no	—
1531	C₂×C₄	—	52	1	no	—
1532	C₂×C₄	—	52	1	no	—
1533	C₂×C₄	—	52	1	no	—
1534	C₂×C₄	—	52	1	no	—
1535	C₂×C₄	—	52	1	no	—
1536	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1537	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1538	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1539	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1540	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1541	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1542	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1543	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1544	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1545	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1546	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1547	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₈	—	2	1	no	—
1554	C₈	—	2	1	no	—
1555	C₈	—	26	1	no	—
1556	C₈	—	26	1	no	—
1557	C₈	—	26	1	no	—
1558	C₈	—	26	1	no	—
1559	C₈	—	26	1	no	—
1560	C₈	—	26	1	no	—
1561	C₈	—	26	1	no	—
1562	C₈	—	26	1	no	—
1563	C₈	#88257	1	2	yes	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	1	no	—
1571	C₂²	—	2	1	no	—
1572	C₂²	—	2	1	no	—
1573	C₂²	—	26	1	no	—
1574	C₂²	—	26	1	no	—
1575	C₂²	—	26	1	no	—
1576	C₂²	—	26	1	no	—
1577	C₂²	—	26	1	no	—
1578	C₂²	—	26	1	no	—
1579	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	26	1	no	—
1592	C₄	—	26	1	no	—
1593	C₄	—	26	1	no	—
1594	C₄	—	26	1	no	—
1595	C₄	—	26	1	no	—
1596	C₄	—	26	1	no	—
1597	C₄	—	26	1	no	—
1598	C₄	—	26	1	no	—
1599	C₄	—	26	1	no	—
1600	C₄	—	26	1	no	—
1601	C₄	—	26	1	no	—
1602	C₄	—	26	1	no	—
1603	C₄	—	26	1	no	—
1604	C₄	—	26	1	no	—
1605	C₄	C₂×#88257	1	1	yes	characteristic
1606	C₄	#11719648	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	4	1	no	—
1609	C₂	—	4	1	no	—
1610	C₂	—	52	1	no	—
1611	C₂	—	52	1	no	—
1612	C₂	C₄×#88257	1	1	yes	characteristic
1613	C₂	#13129547	1	1	yes	characteristic
1614	C₂	#13129549	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2968	C₂
prime radical	#13128981	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2968	D₁₃
hypocenter	C₁₃	#60346
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2968

Complements

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

N	H ≅ G/N	type
2. #13124007	C₂	semidirect
3. #13124007	C₂	semidirect
4. #13123993	C₂	semidirect
5. #13123990	C₂	semidirect
6. #13123987	C₂	semidirect
7. #13123986	C₂	semidirect
8. #13123985	C₂	semidirect
9. #13123979	C₂	semidirect
10. #13123976	C₂	semidirect
11. #13123971	C₂	semidirect
12. #13123940	C₂	semidirect
13. #13123937	C₂	semidirect
14. #13123934	C₂	semidirect
15. #13123929	C₂	semidirect
16. #13123928	C₂	semidirect
17. #13123837	C₂	semidirect
18. #13123833	C₂	semidirect
19. #13123830	C₂	semidirect
20. #13123827	C₂	semidirect
21. #13123826	C₂	semidirect
22. #13123817	C₂	semidirect
23. #13123815	C₂	semidirect
24. #13123806	C₂	semidirect
25. #13123804	C₂	semidirect
26. #13123784	C₂	semidirect
27. #13123780	C₂	semidirect
28. #13123776	C₂	semidirect
29. #13123772	C₂	semidirect
30. #13123768	C₂	semidirect
31. C₁₃×#2968	C₂	semidirect
691. #2968	D₁₃	semidirect
1476. C₁₃	#60346	semidirect

Maximal subgroups

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

subgroup	index
#13128981	2
#13124007	2
#13123993	2
#13123990	2
#13123987	2
#13123986	2
#13123985	2
#13123979	2
#13123976	2
#13123971	2
#13123940	2
#13123937	2
#13123934	2
#13123929	2
#13123928	2
#13123837	2
#13123833	2
#13123830	2
#13123827	2
#13123826	2
#13123817	2
#13123815	2
#13123806	2
#13123804	2
#13123784	2
#13123780	2
#13123776	2
#13123772	2
#13123768	2
C₁₃×#2968	2
#60346	13