Subgroups — #16809604

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	#13131790	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131789	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131784	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131783	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131779	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131779	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131778	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131777	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131772	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131771	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131748	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131746	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131745	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131742	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131740	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131670	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131667	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131663	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131662	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131662	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131661	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131658	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131655	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131651	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131649	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131633	C₂	1	1	yes	maximal, characteristic, complemented
27	#13131631	C₂	1	1	yes	maximal, characteristic, complemented
28	#13131628	C₂	1	1	yes	maximal, characteristic, complemented
29	#13131627	C₂	1	1	yes	maximal, characteristic, complemented
30	#13131624	C₂	1	1	yes	maximal, characteristic, complemented
31	#13128980	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#562	C₄	1	1	yes	characteristic
33	#11719393	C₂²	1	1	yes	characteristic
34	C₁₃⋊#564	C₄	1	1	yes	characteristic
35	#11719385	C₂²	1	1	yes	characteristic
36	#11719385	C₂²	1	1	yes	characteristic
37	#11719377	C₄	1	1	yes	characteristic
38	#11719377	C₄	1	1	yes	characteristic
39	#11719356	C₄	1	1	yes	characteristic
40	#11719356	C₄	1	1	yes	characteristic
41	#11719356	C₄	1	1	yes	characteristic
42	#11719356	C₄	1	1	yes	characteristic
43	#11719354	C₂²	1	1	yes	characteristic
44	#11719354	C₂²	1	1	yes	characteristic
45	#11719354	C₂²	1	1	yes	characteristic
46	#11719354	C₂²	1	1	yes	characteristic
47	#11719351	C₄	1	1	yes	characteristic
48	#11719351	C₄	1	1	yes	characteristic
49	#11719351	C₄	1	1	yes	characteristic
50	#11719351	C₄	1	1	yes	characteristic
51	#11719327	C₂²	1	1	yes	characteristic
52	#11719327	C₂²	1	1	yes	characteristic
53	#11719327	C₂²	1	1	yes	characteristic
54	#11719327	C₂²	1	1	yes	characteristic
55	#11719326	C₄	1	1	yes	characteristic
56	#11719326	C₄	1	1	yes	characteristic
57	#11719326	C₄	1	1	yes	characteristic
58	#11719326	C₄	1	1	yes	characteristic
59	#11719305	C₂²	1	1	yes	characteristic
60	#11719305	C₂²	1	1	yes	characteristic
61	#11719305	C₂²	1	1	yes	characteristic
62	#11719305	C₂²	1	1	yes	characteristic
63	#11719158	C₂²	1	1	yes	characteristic
64	#11719158	C₂²	1	1	yes	characteristic
65	#11719158	C₂²	1	1	yes	characteristic
66	#11719158	C₂²	1	1	yes	characteristic
67	#11719158	C₂²	1	1	yes	characteristic
68	#11719158	C₂²	1	1	yes	characteristic
69	Q₈×#1057	C₂²	1	1	yes	characteristic
70	Q₈×#1057	C₂²	1	1	yes	characteristic
71	#11719145	C₂²	1	1	yes	characteristic
72	#11719145	C₂²	1	1	yes	characteristic
73	#11719145	C₂²	1	1	yes	characteristic
74	#11719145	C₂²	1	1	yes	characteristic
75	#11719145	C₂²	1	1	yes	characteristic
76	#11719145	C₂²	1	1	yes	characteristic
77	#11719144	C₂²	1	1	yes	characteristic
78	#11719144	C₂²	1	1	yes	characteristic
79	#11719144	C₂²	1	1	yes	characteristic
80	#11719144	C₂²	1	1	yes	characteristic
81	#11719144	C₂²	1	1	yes	characteristic
82	#11719144	C₂²	1	1	yes	characteristic
83	#11719144	C₂²	1	1	yes	characteristic
84	#11719144	C₂²	1	1	yes	characteristic
85	#11719144	C₂²	1	1	yes	characteristic
86	#11719144	C₂²	1	1	yes	characteristic
87	#11719144	C₂²	1	1	yes	characteristic
88	#11719144	C₂²	1	1	yes	characteristic
89	D₄×#1057	C₂²	1	1	yes	characteristic
90	D₄×#1057	C₂²	1	1	yes	characteristic
91	D₄×#1057	C₂²	1	1	yes	characteristic
92	D₄×#1057	C₂²	1	1	yes	characteristic
93	D₄×#1057	C₂²	1	1	yes	characteristic
94	D₄×#1057	C₂²	1	1	yes	characteristic
95	#11719130	C₂²	1	1	yes	characteristic
96	#11719130	C₂²	1	1	yes	characteristic
97	#11719129	C₂²	1	1	yes	characteristic
98	#11719129	C₂²	1	1	yes	characteristic
99	#11719128	C₂²	1	1	yes	characteristic
100	#11719128	C₂²	1	1	yes	characteristic
101	#11719125	C₂²	1	1	yes	characteristic
102	#11719125	C₂²	1	1	yes	characteristic
103	C₂×#88112	C₂²	1	1	yes	characteristic
104	C₄×#6122	C₂²	1	1	yes	characteristic
105	C₄×#6122	C₂²	1	1	yes	characteristic
106	C₂×#88110	C₂²	1	1	yes	characteristic
107	#11719119	C₂²	1	1	yes	characteristic
108	#11719119	C₂²	1	1	yes	characteristic
109	C₂×C₄⋊#1057	C₂²	1	1	yes	characteristic
110	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
111	#11719080	C₂²	1	1	yes	characteristic
112	#11719080	C₂²	1	1	yes	characteristic
113	#11719080	C₂²	1	1	yes	characteristic
114	#11719080	C₂²	1	1	yes	characteristic
115	#11719080	C₂²	1	1	yes	characteristic
116	#11719080	C₂²	1	1	yes	characteristic
117	#11719080	C₂²	1	1	yes	characteristic
118	#11719080	C₂²	1	1	yes	characteristic
119	#11719079	C₂²	1	1	yes	characteristic
120	#11719079	C₂²	1	1	yes	characteristic
121	#11719078	C₂²	1	1	yes	characteristic
122	#11719078	C₂²	1	1	yes	characteristic
123	#11719078	C₂²	1	1	yes	characteristic
124	#11719078	C₂²	1	1	yes	characteristic
125	#11719078	C₂²	1	1	yes	characteristic
126	#11719078	C₂²	1	1	yes	characteristic
127	#11719078	C₂²	1	1	yes	characteristic
128	#11719078	C₂²	1	1	yes	characteristic
129	#11719078	C₂²	1	1	yes	characteristic
130	#11719078	C₂²	1	1	yes	characteristic
131	#11719078	C₂²	1	1	yes	characteristic
132	#11719078	C₂²	1	1	yes	characteristic
133	#11719078	C₂²	1	1	yes	characteristic
134	#11719078	C₂²	1	1	yes	characteristic
135	#11719078	C₂²	1	1	yes	characteristic
136	#11719078	C₂²	1	1	yes	characteristic
137	#11719077	C₂²	1	1	yes	characteristic
138	#11719077	C₂²	1	1	yes	characteristic
139	#11719077	C₂²	1	1	yes	characteristic
140	#11719077	C₂²	1	1	yes	characteristic
141	#11719074	C₂²	1	1	yes	characteristic
142	#11719074	C₂²	1	1	yes	characteristic
143	#11719074	C₂²	1	1	yes	characteristic
144	#11719074	C₂²	1	1	yes	characteristic
145	#11719074	C₂²	1	1	yes	characteristic
146	#11719074	C₂²	1	1	yes	characteristic
147	#11719074	C₂²	1	1	yes	characteristic
148	#11719074	C₂²	1	1	yes	characteristic
149	#11719072	C₂²	1	1	yes	characteristic
150	#11719072	C₂²	1	1	yes	characteristic
151	#11719068	C₂²	1	1	yes	characteristic
152	#11719068	C₂²	1	1	yes	characteristic
153	#11719068	C₂²	1	1	yes	characteristic
154	#11719068	C₂²	1	1	yes	characteristic
155	#11719068	C₂²	1	1	yes	characteristic
156	#11719068	C₂²	1	1	yes	characteristic
157	#11719068	C₂²	1	1	yes	characteristic
158	#11719068	C₂²	1	1	yes	characteristic
159	#11719068	C₂²	1	1	yes	characteristic
160	#11719068	C₂²	1	1	yes	characteristic
161	#11719068	C₂²	1	1	yes	characteristic
162	#11719068	C₂²	1	1	yes	characteristic
163	#11719068	C₂²	1	1	yes	characteristic
164	#11719068	C₂²	1	1	yes	characteristic
165	#11719068	C₂²	1	1	yes	characteristic
166	#11719068	C₂²	1	1	yes	characteristic
167	#11719067	C₂²	1	1	yes	characteristic
168	#11719067	C₂²	1	1	yes	characteristic
169	#11719067	C₂²	1	1	yes	characteristic
170	#11719067	C₂²	1	1	yes	characteristic
171	#11719067	C₂²	1	1	yes	characteristic
172	#11719067	C₂²	1	1	yes	characteristic
173	#11719067	C₂²	1	1	yes	characteristic
174	#11719067	C₂²	1	1	yes	characteristic
175	#11719066	C₂²	1	1	yes	characteristic
176	#11719066	C₂²	1	1	yes	characteristic
177	#11719066	C₂²	1	1	yes	characteristic
178	#11719066	C₂²	1	1	yes	characteristic
179	#11719065	C₂²	1	1	yes	characteristic
180	#11719065	C₂²	1	1	yes	characteristic
181	#11719065	C₂²	1	1	yes	characteristic
182	#11719065	C₂²	1	1	yes	characteristic
183	#11719064	C₂²	1	1	yes	characteristic
184	#11719064	C₂²	1	1	yes	characteristic
185	#11719064	C₂²	1	1	yes	characteristic
186	#11719064	C₂²	1	1	yes	characteristic
187	#11719063	C₂²	1	1	yes	characteristic
188	#11719063	C₂²	1	1	yes	characteristic
189	#11719063	C₂²	1	1	yes	characteristic
190	#11719063	C₂²	1	1	yes	characteristic
191	#11719062	C₂²	1	1	yes	characteristic
192	#11719062	C₂²	1	1	yes	characteristic
193	#11719062	C₂²	1	1	yes	characteristic
194	#11719062	C₂²	1	1	yes	characteristic
195	#11719062	C₂²	1	1	yes	characteristic
196	#11719062	C₂²	1	1	yes	characteristic
197	#11719062	C₂²	1	1	yes	characteristic
198	#11719062	C₂²	1	1	yes	characteristic
199	#11719052	C₂²	1	1	yes	characteristic
200	#11719049	C₂²	1	1	yes	characteristic
201	#11719049	C₂²	1	1	yes	characteristic
202	#11719047	C₂²	1	1	yes	characteristic
203	C₂×#6122	C₂³	1	1	yes	characteristic
204	C₂×#6122	C₂³	1	1	yes	characteristic
205	C₂×#6122	C₂³	1	1	yes	characteristic
206	C₂×#6122	C₂³	1	1	yes	characteristic
207	C₂×#6122	C₂³	1	1	yes	characteristic
208	C₂×#6122	C₂³	1	1	yes	characteristic
209	C₂×#6122	C₂³	1	1	yes	characteristic
210	C₂×#6122	C₂³	1	1	yes	characteristic
211	C₂²×#1057	C₂³	1	1	yes	characteristic
212	C₂²×#1057	C₂³	1	1	yes	characteristic
213	C₂²×#1057	C₂³	1	1	yes	characteristic
214	C₂²×#1057	C₂³	1	1	yes	characteristic
215	C₂²×#1057	C₂³	1	1	yes	characteristic
216	C₂²×#1057	C₂³	1	1	yes	characteristic
217	C₂²×#1057	C₂³	1	1	yes	characteristic
218	C₂²×#1057	C₂³	1	1	yes	characteristic
219	C₂×#6118	C₂³	1	1	yes	characteristic
220	C₂×#6118	C₂³	1	1	yes	characteristic
221	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
222	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
223	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
224	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
225	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
226	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
227	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
228	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
229	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
230	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
231	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
233	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
234	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
235	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
236	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
237	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
238	#88200	C₂×C₄	1	1	yes	characteristic
239	#88200	C₂×C₄	1	1	yes	characteristic
240	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
241	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
242	#88198	C₂×C₄	1	1	yes	characteristic
243	#88198	C₂×C₄	1	1	yes	characteristic
244	#88198	C₂×C₄	1	1	yes	characteristic
245	#88198	C₂×C₄	1	1	yes	characteristic
246	#88193	C₂×C₄	1	1	yes	characteristic
247	#88193	C₂×C₄	1	1	yes	characteristic
248	#88193	C₂×C₄	1	1	yes	characteristic
249	#88193	C₂×C₄	1	1	yes	characteristic
250	#88192	C₂×C₄	1	1	yes	characteristic
251	#88192	C₂×C₄	1	1	yes	characteristic
252	#88190	C₂×C₄	1	1	yes	characteristic
253	#88190	C₂×C₄	1	1	yes	characteristic
254	#88190	C₂×C₄	1	1	yes	characteristic
255	#88190	C₂×C₄	1	1	yes	characteristic
256	#88189	C₂×C₄	1	1	yes	characteristic
257	#88189	C₂×C₄	1	1	yes	characteristic
258	#88189	C₂×C₄	1	1	yes	characteristic
259	#88189	C₂×C₄	1	1	yes	characteristic
260	#88189	C₂×C₄	1	1	yes	characteristic
261	#88189	C₂×C₄	1	1	yes	characteristic
262	#88189	C₂×C₄	1	1	yes	characteristic
263	#88189	C₂×C₄	1	1	yes	characteristic
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	#88183	C₂×C₄	1	1	yes	characteristic
271	#88183	C₂×C₄	1	1	yes	characteristic
272	#88183	C₂×C₄	1	1	yes	characteristic
273	#88183	C₂×C₄	1	1	yes	characteristic
274	#88178	C₂×C₄	1	1	yes	characteristic
275	#88178	C₂×C₄	1	1	yes	characteristic
276	#88178	C₂×C₄	1	1	yes	characteristic
277	#88178	C₂×C₄	1	1	yes	characteristic
278	#88178	C₂×C₄	1	1	yes	characteristic
279	#88178	C₂×C₄	1	1	yes	characteristic
280	#88178	C₂×C₄	1	1	yes	characteristic
281	#88178	C₂×C₄	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	#88152	C₂×C₄	1	1	yes	characteristic
287	#88152	C₂×C₄	1	1	yes	characteristic
288	#88152	C₂×C₄	1	1	yes	characteristic
289	#88152	C₂×C₄	1	1	yes	characteristic
290	#88150	C₂×C₄	1	1	yes	characteristic
291	#88150	C₂×C₄	1	1	yes	characteristic
292	#88150	C₂×C₄	1	1	yes	characteristic
293	#88150	C₂×C₄	1	1	yes	characteristic
294	#88146	C₂³	1	1	yes	characteristic
295	#88146	C₂³	1	1	yes	characteristic
296	#88144	C₂×C₄	1	1	yes	characteristic
297	#88144	C₂×C₄	1	1	yes	characteristic
298	#88144	C₂×C₄	1	1	yes	characteristic
299	#88144	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	#88143	C₂×C₄	1	1	yes	characteristic
309	#88143	C₂×C₄	1	1	yes	characteristic
310	#88143	C₂×C₄	1	1	yes	characteristic
311	#88143	C₂×C₄	1	1	yes	characteristic
312	#88142	C₂×C₄	1	1	yes	characteristic
313	#88142	C₂×C₄	1	1	yes	characteristic
314	#88142	C₂×C₄	1	1	yes	characteristic
315	#88142	C₂×C₄	1	1	yes	characteristic
316	#88142	C₂×C₄	1	1	yes	characteristic
317	#88142	C₂×C₄	1	1	yes	characteristic
318	#88141	C₂³	1	1	yes	characteristic
319	#88141	C₂³	1	1	yes	characteristic
320	#88141	C₂³	1	1	yes	characteristic
321	#88141	C₂³	1	1	yes	characteristic
322	#88141	C₂³	1	1	yes	characteristic
323	#88141	C₂³	1	1	yes	characteristic
324	#88141	C₂³	1	1	yes	characteristic
325	#88141	C₂³	1	1	yes	characteristic
326	#88139	C₂×C₄	1	1	yes	characteristic
327	#88139	C₂×C₄	1	1	yes	characteristic
328	#88139	C₂×C₄	1	1	yes	characteristic
329	#88139	C₂×C₄	1	1	yes	characteristic
330	#88137	C₂×C₄	1	1	yes	characteristic
331	#88137	C₂×C₄	1	1	yes	characteristic
332	#88137	C₂×C₄	1	1	yes	characteristic
333	#88137	C₂×C₄	1	1	yes	characteristic
334	#88135	C₂³	1	1	yes	characteristic
335	#88135	C₂³	1	1	yes	characteristic
336	#88135	C₂³	1	1	yes	characteristic
337	#88135	C₂³	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	#88133	C₂×C₄	1	1	yes	characteristic
343	#88133	C₂×C₄	1	1	yes	characteristic
344	#88133	C₂×C₄	1	1	yes	characteristic
345	#88133	C₂×C₄	1	1	yes	characteristic
346	#88133	C₂×C₄	1	1	yes	characteristic
347	#88133	C₂×C₄	1	1	yes	characteristic
348	#88133	C₂×C₄	1	1	yes	characteristic
349	#88133	C₂×C₄	1	1	yes	characteristic
350	#88133	C₂×C₄	1	1	yes	characteristic
351	#88133	C₂×C₄	1	1	yes	characteristic
352	#88133	C₂×C₄	1	1	yes	characteristic
353	#88133	C₂×C₄	1	1	yes	characteristic
354	#88132	C₂×C₄	1	1	yes	characteristic
355	#88132	C₂×C₄	1	1	yes	characteristic
356	#88132	C₂×C₄	1	1	yes	characteristic
357	#88132	C₂×C₄	1	1	yes	characteristic
358	#88132	C₂×C₄	1	1	yes	characteristic
359	#88132	C₂×C₄	1	1	yes	characteristic
360	#88132	C₂×C₄	1	1	yes	characteristic
361	#88132	C₂×C₄	1	1	yes	characteristic
362	#88132	C₂×C₄	1	1	yes	characteristic
363	#88132	C₂×C₄	1	1	yes	characteristic
364	#88132	C₂×C₄	1	1	yes	characteristic
365	#88132	C₂×C₄	1	1	yes	characteristic
366	#88131	C₂³	1	1	yes	characteristic
367	#88131	C₂³	1	1	yes	characteristic
368	#88131	C₂³	1	1	yes	characteristic
369	#88131	C₂³	1	1	yes	characteristic
370	#88131	C₂³	1	1	yes	characteristic
371	#88131	C₂³	1	1	yes	characteristic
372	#88131	C₂³	1	1	yes	characteristic
373	#88131	C₂³	1	1	yes	characteristic
374	C₄²×D₁₃	C₂³	1	1	yes	characteristic
375	#88124	C₂×C₄	1	1	yes	characteristic
376	#88124	C₂×C₄	1	1	yes	characteristic
377	#88124	C₂×C₄	1	1	yes	characteristic
378	C₂²⋊#1057	C₂³	1	1	yes	characteristic
379	C₂²⋊#1057	C₂³	1	1	yes	characteristic
380	C₂²⋊#1057	C₂³	1	1	yes	characteristic
381	C₂²⋊#1057	C₂³	1	1	yes	characteristic
382	C₂²⋊#1057	C₂³	1	1	yes	characteristic
383	C₂²⋊#1057	C₂³	1	1	yes	characteristic
384	C₂²⋊#1057	C₂³	1	1	yes	characteristic
385	C₂²⋊#1057	C₂³	1	1	yes	characteristic
386	C₂²⋊#1057	C₂³	1	1	yes	characteristic
387	C₂²⋊#1057	C₂³	1	1	yes	characteristic
388	C₂²⋊#1057	C₂³	1	1	yes	characteristic
389	C₂²⋊#1057	C₂³	1	1	yes	characteristic
390	C₂²⋊#1057	C₂³	1	1	yes	characteristic
391	C₂²⋊#1057	C₂³	1	1	yes	characteristic
392	C₂²⋊#1057	C₂³	1	1	yes	characteristic
393	C₂²⋊#1057	C₂³	1	1	yes	characteristic
394	#88112	C₂³	1	1	yes	characteristic
395	#88112	C₂³	1	1	yes	characteristic
396	#88112	C₂³	1	1	yes	characteristic
397	#88112	C₂³	1	1	yes	characteristic
398	#88112	C₂³	1	1	yes	characteristic
399	#88112	C₂³	1	1	yes	characteristic
400	#88112	C₂³	1	1	yes	characteristic
401	#88112	C₂³	1	1	yes	characteristic
402	#88112	C₂³	1	1	yes	characteristic
403	#88112	C₂³	1	1	yes	characteristic
404	#88112	C₂³	1	1	yes	characteristic
405	#88112	C₂³	1	1	yes	characteristic
406	#88112	C₂³	1	1	yes	characteristic
407	#88112	C₂³	1	1	yes	characteristic
408	#88112	C₂³	1	1	yes	characteristic
409	#88112	C₂³	1	1	yes	characteristic
410	#88112	C₂³	1	1	yes	characteristic
411	#88112	C₂³	1	1	yes	characteristic
412	#88112	C₂³	1	1	yes	characteristic
413	#88112	C₂³	1	1	yes	characteristic
414	#88111	C₂³	1	1	yes	characteristic
415	#88111	C₂³	1	1	yes	characteristic
416	#88111	C₂³	1	1	yes	characteristic
417	#88111	C₂³	1	1	yes	characteristic
418	#88110	C₂³	1	1	yes	characteristic
419	#88110	C₂³	1	1	yes	characteristic
420	#88110	C₂³	1	1	yes	characteristic
421	#88110	C₂³	1	1	yes	characteristic
422	#88110	C₂³	1	1	yes	characteristic
423	#88110	C₂³	1	1	yes	characteristic
424	#88110	C₂³	1	1	yes	characteristic
425	#88110	C₂³	1	1	yes	characteristic
426	#88110	C₂³	1	1	yes	characteristic
427	#88110	C₂³	1	1	yes	characteristic
428	#88110	C₂³	1	1	yes	characteristic
429	#88110	C₂³	1	1	yes	characteristic
430	#88110	C₂³	1	1	yes	characteristic
431	#88110	C₂³	1	1	yes	characteristic
432	#88110	C₂³	1	1	yes	characteristic
433	#88110	C₂³	1	1	yes	characteristic
434	#88110	C₂³	1	1	yes	characteristic
435	#88110	C₂³	1	1	yes	characteristic
436	#88110	C₂³	1	1	yes	characteristic
437	#88110	C₂³	1	1	yes	characteristic
438	C₄⋊#1057	C₂³	1	1	yes	characteristic
439	C₄⋊#1057	C₂³	1	1	yes	characteristic
440	C₄⋊#1057	C₂³	1	1	yes	characteristic
441	C₄⋊#1057	C₂³	1	1	yes	characteristic
442	C₄⋊#1057	C₂³	1	1	yes	characteristic
443	C₄⋊#1057	C₂³	1	1	yes	characteristic
444	C₄⋊#1057	C₂³	1	1	yes	characteristic
445	C₄⋊#1057	C₂³	1	1	yes	characteristic
446	C₄⋊#1057	C₂³	1	1	yes	characteristic
447	C₄⋊#1057	C₂³	1	1	yes	characteristic
448	C₄⋊#1057	C₂³	1	1	yes	characteristic
449	C₄⋊#1057	C₂³	1	1	yes	characteristic
450	C₄⋊#1057	C₂³	1	1	yes	characteristic
451	C₄⋊#1057	C₂³	1	1	yes	characteristic
452	C₄⋊#1057	C₂³	1	1	yes	characteristic
453	C₄⋊#1057	C₂³	1	1	yes	characteristic
454	C₄⋊#1057	C₂³	1	1	yes	characteristic
455	C₄⋊#1057	C₂³	1	1	yes	characteristic
456	C₄⋊#1057	C₂³	1	1	yes	characteristic
457	C₄⋊#1057	C₂³	1	1	yes	characteristic
458	C₄×#1057	C₂³	1	1	yes	characteristic
459	C₄×#1057	C₂³	1	1	yes	characteristic
460	C₄×#1057	C₂³	1	1	yes	characteristic
461	C₄×#1057	C₂³	1	1	yes	characteristic
462	C₄×#1057	C₂³	1	1	yes	characteristic
463	C₄×#1057	C₂³	1	1	yes	characteristic
464	C₄×#1057	C₂³	1	1	yes	characteristic
465	C₄×#1057	C₂³	1	1	yes	characteristic
466	C₄×#1057	C₂³	1	1	yes	characteristic
467	C₄×#1057	C₂³	1	1	yes	characteristic
468	C₄×#1057	C₂³	1	1	yes	characteristic
469	C₄×#1057	C₂³	1	1	yes	characteristic
470	C₄×#1057	C₂³	1	1	yes	characteristic
471	C₄×#1057	C₂³	1	1	yes	characteristic
472	C₄×#1057	C₂³	1	1	yes	characteristic
473	C₄×#1057	C₂³	1	1	yes	characteristic
474	C₄×#1057	C₂³	1	1	yes	characteristic
475	C₄×#1057	C₂³	1	1	yes	characteristic
476	C₄×#1057	C₂³	1	1	yes	characteristic
477	C₄×#1057	C₂³	1	1	yes	characteristic
478	#60346	—	13	1	no	maximal, Sylow
479	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×Q₈×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	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
484	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	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	C₂×C₂²⋊D₁₃	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	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
499	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
500	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
501	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₁₃	C₂⁴	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	#6122	—	2	2	no	—
515	#6122	—	2	2	no	—
516	#6122	—	4	1	no	—
517	#6122	—	4	1	no	—
518	#6122	—	4	1	no	—
519	#6122	—	4	1	no	—
520	#6122	—	4	1	no	—
521	#6122	—	4	1	no	—
522	C₂×#1057	—	2	2	no	—
523	C₂×#1057	—	2	2	no	—
524	C₂×#1057	—	4	1	no	—
525	C₂×#1057	—	4	1	no	—
526	C₂×#1057	—	4	1	no	—
527	C₂×#1057	—	4	1	no	—
528	C₂×#1057	—	4	1	no	—
529	C₂×#1057	—	4	1	no	—
530	C₂×#1057	C₂⁴	1	1	yes	characteristic
531	C₂×#1057	C₂⁴	1	1	yes	characteristic
532	C₂×#1057	C₂⁴	1	1	yes	characteristic
533	C₂×#1057	C₂⁴	1	1	yes	characteristic
534	C₂×#1057	C₂⁴	1	1	yes	characteristic
535	C₂×#1057	C₂⁴	1	1	yes	characteristic
536	C₂×#1057	C₂⁴	1	1	yes	characteristic
537	C₂×#1057	C₂⁴	1	1	yes	characteristic
538	C₂×#1057	C₂⁴	1	1	yes	characteristic
539	C₂×#1057	C₂⁴	1	1	yes	characteristic
540	C₂×#1057	C₂⁴	1	1	yes	characteristic
541	C₂×#1057	C₂⁴	1	1	yes	characteristic
542	C₂×#1057	C₂⁴	1	1	yes	characteristic
543	C₂×#1057	C₂⁴	1	1	yes	characteristic
544	C₂×#1057	C₂⁴	1	1	yes	characteristic
545	C₂×#1057	C₂⁴	1	1	yes	characteristic
546	#6118	—	4	1	no	—
547	#6118	—	4	1	no	—
548	D₁₃⋊C₈	—	2	2	no	—
549	D₁₃⋊C₈	—	4	1	no	—
550	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
573	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
574	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
575	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
576	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
577	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
578	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
582	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
585	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
586	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
588	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
589	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
590	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
591	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
592	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
593	#6103	C₂²×C₄	1	1	yes	characteristic
594	#6103	C₂²×C₄	1	1	yes	characteristic
595	#6103	C₂²×C₄	1	1	yes	characteristic
596	#6103	C₂²×C₄	1	1	yes	characteristic
597	#6103	C₂²×C₄	1	1	yes	characteristic
598	#6103	C₂²×C₄	1	1	yes	characteristic
599	#6103	C₂²×C₄	1	1	yes	characteristic
600	#6103	C₂²×C₄	1	1	yes	characteristic
601	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
602	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
603	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
604	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
605	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
606	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
607	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₁₃	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	#6101	C₂²×C₄	1	1	yes	characteristic
635	#6101	C₂²×C₄	1	1	yes	characteristic
636	#6101	C₂²×C₄	1	1	yes	characteristic
637	#6101	C₂²×C₄	1	1	yes	characteristic
638	#6101	C₂²×C₄	1	1	yes	characteristic
639	#6101	C₂²×C₄	1	1	yes	characteristic
640	#6101	C₂²×C₄	1	1	yes	characteristic
641	#6101	C₂²×C₄	1	1	yes	characteristic
642	#6101	C₂²×C₄	1	1	yes	characteristic
643	#6101	C₂²×C₄	1	1	yes	characteristic
644	#6101	C₂²×C₄	1	1	yes	characteristic
645	#6101	C₂²×C₄	1	1	yes	characteristic
646	#6101	C₂²×C₄	1	1	yes	characteristic
647	#6101	C₂²×C₄	1	1	yes	characteristic
648	#6101	C₂²×C₄	1	1	yes	characteristic
649	#6101	C₂²×C₄	1	1	yes	characteristic
650	#6101	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
661	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
662	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
663	C₄×Dic₁₃	C₂⁴	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	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	13	1	no	—
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	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
705	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
706	Q₈×C₁₃	—	4	1	no	—
707	Q₈×C₁₃	—	4	1	no	—
708	D₄×C₁₃	—	4	1	no	—
709	D₄×C₁₃	—	4	1	no	—
710	D₄×C₁₃	—	4	1	no	—
711	D₄×C₁₃	—	4	1	no	—
712	D₄×C₁₃	—	4	1	no	—
713	D₄×C₁₃	—	4	1	no	—
714	C₂×C₄×C₁₃	—	4	1	no	—
715	C₂×C₄×C₁₃	—	4	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	C₂²⋊D₁₃	—	4	1	no	—
730	C₂²⋊D₁₃	—	4	1	no	—
731	C₂²⋊D₁₃	—	4	1	no	—
732	C₂²⋊D₁₃	—	4	1	no	—
733	C₂×Dic₁₃	—	2	1	no	—
734	C₂×Dic₁₃	—	2	1	no	—
735	C₂×Dic₁₃	—	2	1	no	—
736	C₂×Dic₁₃	—	2	1	no	—
737	C₂×Dic₁₃	—	2	1	no	—
738	C₂×Dic₁₃	—	2	1	no	—
739	C₂×Dic₁₃	—	2	1	no	—
740	C₂×Dic₁₃	—	2	1	no	—
741	C₂×Dic₁₃	—	4	1	no	—
742	C₂×Dic₁₃	—	4	1	no	—
743	C₂×Dic₁₃	—	4	1	no	—
744	C₂×Dic₁₃	—	4	1	no	—
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	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
758	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
759	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
760	C₄×D₁₃	—	2	1	no	—
761	C₄×D₁₃	—	2	1	no	—
762	C₄×D₁₃	—	4	1	no	—
763	C₄×D₁₃	—	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	#1057	—	2	1	no	—
773	#1057	—	2	1	no	—
774	#1057	—	2	1	no	—
775	#1057	—	2	1	no	—
776	#1057	—	2	1	no	—
777	#1057	—	2	1	no	—
778	#1057	—	2	1	no	—
779	#1057	—	2	1	no	—
780	#1057	—	2	1	no	—
781	#1057	—	2	1	no	—
782	#1057	—	2	1	no	—
783	#1057	—	2	1	no	—
784	#1057	—	2	1	no	—
785	#1057	—	2	1	no	—
786	#1057	—	2	1	no	—
787	#1057	2₋¹⁺⁴	1	2	yes	—
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	#261	1	1	yes	characteristic
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	—	13	1	no	—
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	—	13	1	no	—
848	#446	—	13	1	no	—
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	—	13	1	no	—
886	#435	—	13	1	no	—
887	#435	—	13	1	no	—
888	#435	—	13	1	no	—
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	—	13	1	no	—
898	C₈×D₄	—	13	1	no	—
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	—	13	1	no	—
918	#433	—	13	1	no	—
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	—	13	1	no	—
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	—	13	1	no	—
953	#405	—	13	1	no	—
954	C₄×M₁₆	—	13	1	no	—
955	C₄×M₁₆	—	13	1	no	—
956	C₂×#97	—	13	1	no	—
957	C₂×#97	—	13	1	no	—
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	—	2	1	no	—
969	C₂²×C₁₃	—	2	1	no	—
970	C₂²×C₁₃	—	2	1	no	—
971	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
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	Dic₁₃	—	2	1	no	—
987	Dic₁₃	—	2	1	no	—
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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1001	Dic₁₃	#585	1	1	yes	characteristic
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	—	13	1	no	—
1011	C₂×M₁₆	—	13	1	no	—
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	—	13	1	no	—
1019	C₂²×C₈	—	13	1	no	—
1020	C₂²×C₈	—	13	1	no	—
1021	C₂²×C₈	—	13	1	no	—
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	—	13	1	no	—
1051	#126	—	13	1	no	—
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	C₂×#261	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	C₂×#261	1	1	yes	characteristic
1081	#124	C₂×#261	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	C₂×#261	1	1	yes	characteristic
1099	#123	C₂×#261	1	1	yes	characteristic
1100	#123	C₂×#261	1	1	yes	characteristic
1101	#123	C₂×#261	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	C₂×#261	1	1	yes	characteristic
1129	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂×#261	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	C₂×#261	1	1	yes	characteristic
1139	#121	C₂×#261	1	1	yes	characteristic
1140	#121	C₂×#261	1	1	yes	characteristic
1141	#121	C₂×#261	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	—	13	1	no	—
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	—	13	1	no	—
1160	C₄×D₄	—	13	1	no	—
1161	C₄×D₄	—	13	1	no	—
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	—	13	1	no	—
1171	#117	—	13	1	no	—
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	—	13	1	no	—
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	—	13	1	no	—
1212	C₄⋊C₈	—	13	1	no	—
1213	C₄⋊C₈	—	13	1	no	—
1214	C₄⋊C₈	—	13	1	no	—
1215	C₄⋊C₈	—	13	1	no	—
1216	C₄⋊C₈	—	13	1	no	—
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	—	13	1	no	—
1232	C₂²⋊C₈	—	13	1	no	—
1233	C₂²⋊C₈	—	13	1	no	—
1234	C₂²⋊C₈	—	13	1	no	—
1235	C₂²⋊C₈	—	13	1	no	—
1236	C₂²⋊C₈	—	13	1	no	—
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	—	13	1	no	—
1252	#97	—	13	1	no	—
1253	#97	—	13	1	no	—
1254	#97	—	13	1	no	—
1255	#97	—	13	1	no	—
1256	#97	—	13	1	no	—
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	—	13	1	no	—
1274	C₄×C₈	—	13	1	no	—
1275	C₄×C₈	—	13	1	no	—
1276	C₄×C₈	—	13	1	no	—
1277	C₂×C₁₃	—	4	1	no	—
1278	C₂×C₁₃	—	4	1	no	—
1279	C₂×C₁₃	—	4	1	no	—
1280	C₂×C₁₃	—	4	1	no	—
1281	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1282	C₂×C₁₃	#3573	1	1	yes	characteristic
1283	C₂×C₁₃	#3573	1	1	yes	characteristic
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	C₂²×#261	1	1	yes	characteristic
1294	C₂×Q₈	C₂²×#261	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	C₂²×#261	1	1	yes	characteristic
1300	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1301	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1302	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1303	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1304	C₂×D₄	C₂²×#261	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	—	13	1	no	—
1316	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1317	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1318	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1319	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1320	M₁₆	—	26	2	no	—
1321	M₁₆	—	26	2	no	—
1322	M₁₆	—	52	1	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	—	13	1	no	—
1331	C₂×C₈	—	13	1	no	—
1332	C₂×C₈	—	13	1	no	—
1333	C₂×C₈	—	13	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	—	13	1	no	—
1343	C₂×C₈	—	13	1	no	—
1344	C₂×C₈	—	13	1	no	—
1345	C₂×C₈	—	13	1	no	—
1346	C₂×C₈	—	26	2	no	—
1347	C₂×C₈	—	26	2	no	—
1348	C₂×C₈	—	26	2	no	—
1349	C₂×C₈	—	52	1	no	—
1350	C₂×C₈	—	52	1	no	—
1351	C₂×C₈	—	52	1	no	—
1352	C₂×C₈	—	52	1	no	—
1353	C₂×C₈	—	52	1	no	—
1354	C₂×C₈	—	52	1	no	—
1355	C₂×C₈	—	52	1	no	—
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	C₂²×#261	1	1	yes	characteristic
1407	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1408	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1409	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1410	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1411	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1412	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1413	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1414	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1415	C₄⋊C₄	C₂²×#261	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	C₂²×#261	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1449	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1450	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1452	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1453	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂²×#261	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	—	13	1	no	—
1471	C₄²	—	13	1	no	—
1472	C₄²	—	13	1	no	—
1473	C₄²	—	13	1	no	—
1474	C₄²	—	13	1	no	—
1475	C₄²	C₂²×#261	1	1	yes	characteristic
1476	C₁₃	#60346	1	1	yes	characteristic, complemented, Sylow
1477	C₂³	—	13	1	no	—
1478	C₂³	C₂³×#261	1	1	yes	characteristic
1479	C₂³	C₂³×#261	1	1	yes	characteristic
1480	C₂³	C₂³×#261	1	1	yes	characteristic
1481	C₂³	C₂³×#261	1	1	yes	characteristic
1482	Q₈	—	4	1	no	—
1483	Q₈	—	4	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	—	4	1	no	—
1496	D₄	—	4	1	no	—
1497	D₄	—	4	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	—	4	1	no	—
1503	C₂×C₄	—	4	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	4	1	no	—
1506	C₂×C₄	—	13	1	no	—
1507	C₂×C₄	—	13	1	no	—
1508	C₂×C₄	—	13	1	no	—
1509	C₂×C₄	—	13	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	—	26	1	no	—
1522	C₂×C₄	—	26	1	no	—
1523	C₂×C₄	—	26	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	—	26	1	no	—
1529	C₂×C₄	—	26	1	no	—
1530	C₂×C₄	—	26	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	—	52	1	no	—
1537	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1538	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1539	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1540	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1541	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1542	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1543	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1544	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1545	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1546	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1547	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1548	C₈	—	13	2	no	—
1549	C₈	—	26	1	no	—
1550	C₈	—	26	1	no	—
1551	C₈	—	26	1	no	—
1552	C₈	—	26	1	no	—
1553	C₈	—	26	1	no	—
1554	C₈	—	26	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	—	26	1	no	—
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	—	2	1	no	—
1574	C₂²	—	2	1	no	—
1575	C₂²	—	2	1	no	—
1576	C₂²	—	26	1	no	—
1577	C₂²	—	26	1	no	—
1578	C₂²	—	26	1	no	—
1579	C₂²	C₂⁴×#261	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	—	13	1	no	—
1592	C₄	—	13	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	—	26	1	no	—
1606	C₄	—	26	1	no	—
1607	C₂	—	4	1	no	—
1608	C₂	—	4	1	no	—
1609	C₂	—	4	1	no	—
1610	C₂	—	4	1	no	—
1611	C₂	—	52	1	no	—
1612	C₂	2₋¹⁺⁴×#261	1	1	yes	characteristic
1613	C₂	#13131831	1	1	yes	characteristic
1614	C₂	#13131831	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#562	C₄
prime radical	#13128980	C₂
cosocle	C₂×Dic₁₃	C₂⁵
hypercenter	#562	#261
hypocenter	C₁₃	#60346
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #13131790	C₂	semidirect
2. #13131789	C₂	semidirect
3. #13131784	C₂	semidirect
4. #13131783	C₂	semidirect
5. #13131779	C₂	semidirect
6. #13131779	C₂	semidirect
7. #13131778	C₂	semidirect
8. #13131777	C₂	semidirect
9. #13131772	C₂	semidirect
10. #13131771	C₂	semidirect
11. #13131748	C₂	semidirect
12. #13131746	C₂	semidirect
13. #13131745	C₂	semidirect
14. #13131742	C₂	semidirect
15. #13131740	C₂	semidirect
16. #13131670	C₂	semidirect
17. #13131667	C₂	semidirect
18. #13131663	C₂	semidirect
19. #13131662	C₂	semidirect
20. #13131662	C₂	semidirect
21. #13131661	C₂	semidirect
22. #13131658	C₂	semidirect
23. #13131655	C₂	semidirect
24. #13131651	C₂	semidirect
25. #13131649	C₂	semidirect
26. #13131633	C₂	semidirect
27. #13131631	C₂	semidirect
28. #13131628	C₂	semidirect
29. #13131627	C₂	semidirect
30. #13131624	C₂	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
#13131790	2
#13131789	2
#13131784	2
#13131783	2
#13131779	2
#13131778	2
#13131777	2
#13131772	2
#13131771	2
#13131748	2
#13131746	2
#13131745	2
#13131742	2
#13131740	2
#13131670	2
#13131667	2
#13131663	2
#13131662	2
#13131661	2
#13131658	2
#13131655	2
#13131651	2
#13131649	2
#13131633	2
#13131631	2
#13131628	2
#13131627	2
#13131624	2
#13128980	2
#60346	13