Subgroups — #16807917

Order 3328.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131383	C₂	1	1	yes	maximal, characteristic
2	#13131382	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131382	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131378	C₂	1	1	yes	maximal, characteristic
5	#13131373	C₂	1	1	yes	maximal, characteristic
6	#13131373	C₂	1	1	yes	maximal, characteristic
7	#13131373	C₂	1	1	yes	maximal, characteristic
8	#13131371	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131371	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131370	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131370	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131368	C₂	1	1	yes	maximal, characteristic
13	#13131356	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131355	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131346	C₂	1	1	yes	maximal, characteristic
16	#13131343	C₂	1	1	yes	maximal, characteristic
17	#13131336	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131336	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131334	C₂	1	1	yes	maximal, characteristic
20	#13131334	C₂	1	1	yes	maximal, characteristic
21	#13131334	C₂	1	1	yes	maximal, characteristic
22	#13131332	C₂	1	1	yes	maximal, characteristic
23	#13131331	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131331	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131330	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131329	C₂	1	1	yes	maximal, characteristic
27	#13131320	C₂	1	1	yes	maximal, characteristic, complemented
28	#125×#261	C₂	1	1	yes	maximal, characteristic, complemented
29	#126×#261	C₂	1	1	yes	maximal, characteristic
30	#13131295	C₂	1	1	yes	maximal, characteristic, complemented
31	D₁₃×#541	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#541	C₄	1	1	yes	characteristic, complemented
33	#11719436	C₄	1	1	yes	characteristic, complemented
34	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	D₁₃×#126	C₂²	1	1	yes	characteristic
36	D₁₃×#126	C₂²	1	1	yes	characteristic
37	D₁₃×#126	C₂²	1	1	yes	characteristic
38	D₁₃×#126	C₂²	1	1	yes	characteristic
39	#11719406	C₄	1	1	yes	characteristic, complemented
40	#11719406	C₄	1	1	yes	characteristic, complemented
41	#11719406	C₄	1	1	yes	characteristic, complemented
42	#11719406	C₄	1	1	yes	characteristic, complemented
43	#11719402	C₄	1	1	yes	characteristic, complemented
44	#11719401	C₄	1	1	yes	characteristic, complemented
45	#11719401	C₄	1	1	yes	characteristic, complemented
46	#11719401	C₄	1	1	yes	characteristic, complemented
47	#11719401	C₄	1	1	yes	characteristic, complemented
48	D₁₃×#125	C₂²	1	1	yes	characteristic
49	D₁₃×#125	C₂²	1	1	yes	characteristic
50	D₁₃×#125	C₂²	1	1	yes	characteristic
51	D₁₃×#125	C₂²	1	1	yes	characteristic
52	D₁₃×#125	C₂²	1	1	yes	characteristic
53	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	#11719330	C₄	1	1	yes	characteristic, complemented
56	#11719330	C₄	1	1	yes	characteristic, complemented
57	#11719288	C₄	1	1	yes	characteristic, complemented
58	#11719288	C₄	1	1	yes	characteristic, complemented
59	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
61	D₁₃×#117	C₂²	1	1	yes	characteristic
62	#11719223	C₄	1	1	yes	characteristic, complemented
63	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
64	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
65	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
66	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
67	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
68	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
69	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
70	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
71	#11719136	C₂²	1	1	yes	characteristic
72	#11719135	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
74	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
75	#11719083	C₂²	1	1	yes	characteristic
76	#11719083	C₂²	1	1	yes	characteristic
77	#11719083	C₂²	1	1	yes	characteristic
78	#11719083	C₂²	1	1	yes	characteristic
79	#11719083	C₂²	1	1	yes	characteristic
80	#11719083	C₂²	1	1	yes	characteristic
81	#11719083	C₂²	1	1	yes	characteristic
82	#11719083	C₂²	1	1	yes	characteristic
83	#11719083	C₂²	1	1	yes	characteristic
84	#11719083	C₂²	1	1	yes	characteristic
85	#11719083	C₂²	1	1	yes	characteristic
86	#11719083	C₂²	1	1	yes	characteristic
87	#11719083	C₂²	1	1	yes	characteristic
88	#11719083	C₂²	1	1	yes	characteristic
89	#11719083	C₂²	1	1	yes	characteristic
90	#11719083	C₂²	1	1	yes	characteristic
91	#11719083	C₂²	1	1	yes	characteristic
92	#11719083	C₂²	1	1	yes	characteristic
93	#11719082	C₂²	1	1	yes	characteristic
94	#11719082	C₂²	1	1	yes	characteristic
95	#11719082	C₂²	1	1	yes	characteristic
96	#11719082	C₂²	1	1	yes	characteristic
97	#11719082	C₂²	1	1	yes	characteristic
98	#11719082	C₂²	1	1	yes	characteristic
99	#11719082	C₂²	1	1	yes	characteristic
100	#11719082	C₂²	1	1	yes	characteristic
101	#11719082	C₂²	1	1	yes	characteristic
102	#11719082	C₂²	1	1	yes	characteristic
103	#11719082	C₂²	1	1	yes	characteristic
104	#11719082	C₂²	1	1	yes	characteristic
105	#11719082	C₂²	1	1	yes	characteristic
106	#11719082	C₂²	1	1	yes	characteristic
107	#11719082	C₂²	1	1	yes	characteristic
108	#11719082	C₂²	1	1	yes	characteristic
109	#11719082	C₂²	1	1	yes	characteristic
110	#11719082	C₂²	1	1	yes	characteristic
111	#11719082	C₂²	1	1	yes	characteristic
112	#11719082	C₂²	1	1	yes	characteristic
113	#11719082	C₂²	1	1	yes	characteristic
114	#11719082	C₂²	1	1	yes	characteristic
115	#11719082	C₂²	1	1	yes	characteristic
116	#11719082	C₂²	1	1	yes	characteristic
117	#11719082	C₂²	1	1	yes	characteristic
118	#11719082	C₂²	1	1	yes	characteristic
119	#11719082	C₂²	1	1	yes	characteristic
120	#11719082	C₂²	1	1	yes	characteristic
121	#11719082	C₂²	1	1	yes	characteristic
122	#11719082	C₂²	1	1	yes	characteristic
123	#11719082	C₂²	1	1	yes	characteristic
124	#11719082	C₂²	1	1	yes	characteristic
125	#11719082	C₂²	1	1	yes	characteristic
126	#11719082	C₂²	1	1	yes	characteristic
127	#11719082	C₂²	1	1	yes	characteristic
128	#11719082	C₂²	1	1	yes	characteristic
129	#11719082	C₂²	1	1	yes	characteristic
130	#11719082	C₂²	1	1	yes	characteristic
131	#11719082	C₂²	1	1	yes	characteristic
132	#11719082	C₂²	1	1	yes	characteristic
133	#11719082	C₂²	1	1	yes	characteristic
134	#11719082	C₂²	1	1	yes	characteristic
135	#11719082	C₂²	1	1	yes	characteristic
136	#11719082	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
155	#11719071	C₂²	1	1	yes	characteristic
156	#11719071	C₂²	1	1	yes	characteristic
157	#11719071	C₂²	1	1	yes	characteristic
158	#11719071	C₂²	1	1	yes	characteristic
159	#11719071	C₂²	1	1	yes	characteristic
160	#11719071	C₂²	1	1	yes	characteristic
161	#11719071	C₂²	1	1	yes	characteristic
162	#11719071	C₂²	1	1	yes	characteristic
163	#11719071	C₂²	1	1	yes	characteristic
164	#11719071	C₂²	1	1	yes	characteristic
165	#11719071	C₂²	1	1	yes	characteristic
166	#11719071	C₂²	1	1	yes	characteristic
167	#11719070	C₂²	1	1	yes	characteristic
168	#11719070	C₂²	1	1	yes	characteristic
169	#11719070	C₂²	1	1	yes	characteristic
170	#11719070	C₂²	1	1	yes	characteristic
171	#11719070	C₂²	1	1	yes	characteristic
172	#11719070	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
177	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
178	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
179	#11719061	C₂²	1	1	yes	characteristic
180	#11719061	C₂²	1	1	yes	characteristic
181	#11719061	C₂²	1	1	yes	characteristic
182	#11719060	C₂²	1	1	yes	characteristic
183	#11719060	C₂²	1	1	yes	characteristic
184	#11719060	C₂²	1	1	yes	characteristic
185	#11719060	C₂²	1	1	yes	characteristic
186	#11719060	C₂²	1	1	yes	characteristic
187	#11719060	C₂²	1	1	yes	characteristic
188	#11719059	C₂²	1	1	yes	characteristic
189	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
190	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
191	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
192	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
193	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
195	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
196	#11719057	C₂²	1	1	yes	characteristic
197	#11719057	C₂²	1	1	yes	characteristic
198	#11719057	C₂²	1	1	yes	characteristic
199	#11719057	C₂²	1	1	yes	characteristic
200	#11719057	C₂²	1	1	yes	characteristic
201	#11719057	C₂²	1	1	yes	characteristic
202	C₄²×#261	C₂²	1	1	yes	characteristic
203	C₂³×#261	C₂³	1	1	yes	characteristic
204	C₂³×#261	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
240	C₂×C₄×#261	C₂³	1	1	yes	characteristic
241	C₂×C₄×#261	C₂³	1	1	yes	characteristic
242	C₂×C₄×#261	C₂³	1	1	yes	characteristic
243	C₂×C₄×#261	C₂³	1	1	yes	characteristic
244	C₂×C₄×#261	C₂³	1	1	yes	characteristic
245	C₂×C₄×#261	C₂³	1	1	yes	characteristic
246	C₂×C₄×#261	C₂³	1	1	yes	characteristic
247	C₂×C₄×#261	C₂³	1	1	yes	characteristic
248	C₂×C₄×#261	C₂³	1	1	yes	characteristic
249	C₂×C₄×#261	C₂³	1	1	yes	characteristic
250	C₂×C₄×#261	C₂³	1	1	yes	characteristic
251	C₂×C₄×#261	C₂³	1	1	yes	characteristic
252	C₂×C₄×#261	C₂³	1	1	yes	characteristic
253	C₂×C₄×#261	C₂³	1	1	yes	characteristic
254	C₂×C₄×#261	C₂³	1	1	yes	characteristic
255	C₂×C₄×#261	C₂³	1	1	yes	characteristic
256	C₂×C₄×#261	C₂³	1	1	yes	characteristic
257	C₂×C₄×#261	C₂³	1	1	yes	characteristic
258	C₂×C₄×#261	C₂³	1	1	yes	characteristic
259	C₂×C₄×#261	C₂³	1	1	yes	characteristic
260	C₂×C₄×#261	C₂³	1	1	yes	characteristic
261	C₂×C₄×#261	C₂³	1	1	yes	characteristic
262	C₂×C₄×#261	C₂³	1	1	yes	characteristic
263	C₂×C₄×#261	C₂³	1	1	yes	characteristic
264	C₂×C₄×#261	C₂³	1	1	yes	characteristic
265	C₂×C₄×#261	C₂³	1	1	yes	characteristic
266	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
267	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
268	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
269	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
270	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
271	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
272	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
273	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
274	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
275	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
276	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
277	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
278	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
279	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
280	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
281	#88200	C₂×C₄	1	1	yes	characteristic
282	#88200	C₂×C₄	1	1	yes	characteristic
283	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
284	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
285	#88198	C₂×C₄	1	1	yes	characteristic, complemented
286	#88198	C₂×C₄	1	1	yes	characteristic, complemented
287	#88180	C₂×C₄	1	1	yes	characteristic
288	#88178	C₂×C₄	1	1	yes	characteristic
289	#88178	C₂×C₄	1	1	yes	characteristic
290	#88152	C₂×C₄	1	1	yes	characteristic
291	#88152	C₂×C₄	1	1	yes	characteristic
292	#88152	C₂×C₄	1	1	yes	characteristic
293	#88152	C₂×C₄	1	1	yes	characteristic
294	#88152	C₂×C₄	1	1	yes	characteristic
295	#88152	C₂×C₄	1	1	yes	characteristic
296	#88152	C₂×C₄	1	1	yes	characteristic
297	#88152	C₂×C₄	1	1	yes	characteristic
298	#88152	C₂×C₄	1	1	yes	characteristic
299	#88152	C₂×C₄	1	1	yes	characteristic
300	#88152	C₂×C₄	1	1	yes	characteristic
301	#88152	C₂×C₄	1	1	yes	characteristic
302	#88151	C₂×C₄	1	1	yes	characteristic
303	#88151	C₂×C₄	1	1	yes	characteristic
304	#88150	C₂×C₄	1	1	yes	characteristic
305	#88150	C₂×C₄	1	1	yes	characteristic
306	#88150	C₂×C₄	1	1	yes	characteristic
307	#88150	C₂×C₄	1	1	yes	characteristic
308	#88146	C₂×C₄	1	1	yes	characteristic
309	#88146	C₂×C₄	1	1	yes	characteristic
310	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
311	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
312	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
313	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
314	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
315	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
316	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
317	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
318	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
319	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
320	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
321	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
322	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
323	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
324	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
325	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
327	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
329	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
330	#88144	C₂×C₄	1	1	yes	characteristic, complemented
331	#88144	C₂×C₄	1	1	yes	characteristic, complemented
332	#88144	C₂×C₄	1	1	yes	characteristic, complemented
333	#88144	C₂×C₄	1	1	yes	characteristic, complemented
334	#88144	C₂×C₄	1	1	yes	characteristic, complemented
335	#88144	C₂×C₄	1	1	yes	characteristic, complemented
336	#88144	C₂×C₄	1	1	yes	characteristic, complemented
337	#88144	C₂×C₄	1	1	yes	characteristic, complemented
338	#88144	C₂×C₄	1	1	yes	characteristic, complemented
339	#88144	C₂×C₄	1	1	yes	characteristic, complemented
340	#88143	C₂×C₄	1	1	yes	characteristic, complemented
341	#88143	C₂×C₄	1	1	yes	characteristic, complemented
342	#88143	C₂×C₄	1	1	yes	characteristic, complemented
343	#88143	C₂×C₄	1	1	yes	characteristic, complemented
344	#88143	C₂×C₄	1	1	yes	characteristic, complemented
345	#88143	C₂×C₄	1	1	yes	characteristic, complemented
346	#88143	C₂×C₄	1	1	yes	characteristic, complemented
347	#88143	C₂×C₄	1	1	yes	characteristic, complemented
348	#88143	C₂×C₄	1	1	yes	characteristic, complemented
349	#88143	C₂×C₄	1	1	yes	characteristic, complemented
350	#88143	C₂×C₄	1	1	yes	characteristic, complemented
351	#88143	C₂×C₄	1	1	yes	characteristic, complemented
352	#88143	C₂×C₄	1	1	yes	characteristic, complemented
353	#88143	C₂×C₄	1	1	yes	characteristic, complemented
354	#88143	C₂×C₄	1	1	yes	characteristic, complemented
355	#88143	C₂×C₄	1	1	yes	characteristic, complemented
356	#88143	C₂×C₄	1	1	yes	characteristic, complemented
357	#88143	C₂×C₄	1	1	yes	characteristic, complemented
358	#88143	C₂×C₄	1	1	yes	characteristic, complemented
359	#88143	C₂×C₄	1	1	yes	characteristic, complemented
360	#88142	C₂×C₄	1	1	yes	characteristic, complemented
361	#88142	C₂×C₄	1	1	yes	characteristic, complemented
362	#88142	C₂×C₄	1	1	yes	characteristic, complemented
363	#88142	C₂×C₄	1	1	yes	characteristic, complemented
364	#88141	C₂×C₄	1	1	yes	characteristic, complemented
365	#88141	C₂×C₄	1	1	yes	characteristic, complemented
366	#88141	C₂×C₄	1	1	yes	characteristic, complemented
367	#88141	C₂×C₄	1	1	yes	characteristic, complemented
368	#88141	C₂×C₄	1	1	yes	characteristic, complemented
369	#88141	C₂×C₄	1	1	yes	characteristic, complemented
370	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
374	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
375	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
376	#88133	C₂×C₄	1	1	yes	characteristic
377	#88133	C₂×C₄	1	1	yes	characteristic
378	#88133	C₂×C₄	1	1	yes	characteristic
379	#88133	C₂×C₄	1	1	yes	characteristic
380	#88133	C₂×C₄	1	1	yes	characteristic
381	#88133	C₂×C₄	1	1	yes	characteristic
382	#88133	C₂×C₄	1	1	yes	characteristic
383	#88133	C₂×C₄	1	1	yes	characteristic
384	#88133	C₂×C₄	1	1	yes	characteristic
385	#88133	C₂×C₄	1	1	yes	characteristic
386	#88133	C₂×C₄	1	1	yes	characteristic
387	#88133	C₂×C₄	1	1	yes	characteristic
388	#88132	C₂×C₄	1	1	yes	characteristic
389	#88132	C₂×C₄	1	1	yes	characteristic
390	#88132	C₂×C₄	1	1	yes	characteristic
391	#88132	C₂×C₄	1	1	yes	characteristic
392	#88131	C₂×C₄	1	1	yes	characteristic
393	#88131	C₂×C₄	1	1	yes	characteristic
394	#88130	C₂×C₄	1	1	yes	characteristic
395	#88130	C₂×C₄	1	1	yes	characteristic
396	#88130	C₂×C₄	1	1	yes	characteristic
397	#88130	C₂×C₄	1	1	yes	characteristic
398	#88126	C₂×C₄	1	1	yes	characteristic
399	#88126	C₂×C₄	1	1	yes	characteristic
400	C₄²×D₁₃	C₂³	1	1	yes	characteristic
401	C₄²×D₁₃	C₂³	1	1	yes	characteristic
402	C₄²×D₁₃	C₂³	1	1	yes	characteristic
403	C₄²×D₁₃	C₂³	1	1	yes	characteristic
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	#88124	C₂×C₄	1	1	yes	characteristic, complemented
407	#88124	C₂×C₄	1	1	yes	characteristic, complemented
408	#88124	C₂×C₄	1	1	yes	characteristic, complemented
409	#88124	C₂×C₄	1	1	yes	characteristic, complemented
410	#88124	C₂×C₄	1	1	yes	characteristic, complemented
411	#88123	C₂×C₄	1	1	yes	characteristic, complemented
412	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
413	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
414	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
415	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
416	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
417	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
418	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
419	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
420	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
421	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
422	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
423	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
424	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
425	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
426	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
427	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
428	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
429	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
430	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
431	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
432	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
433	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
434	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
435	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
436	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
437	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
438	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
439	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
440	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
441	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
442	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
443	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
444	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
445	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
446	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
478	#34455	—	13	1	no	maximal, Sylow
479	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
480	C₂²×#261	—	2	2	no	—
481	C₂²×#261	—	4	1	no	—
482	C₂²×#261	—	4	1	no	—
483	C₂²×#261	—	4	1	no	—
484	C₂²×#261	—	4	1	no	—
485	C₂²×#261	—	4	1	no	—
486	C₂²×#261	C₂⁴	1	1	yes	characteristic
487	C₂²×#261	C₂⁴	1	1	yes	characteristic
488	C₂²×#261	C₂⁴	1	1	yes	characteristic
489	C₂²×#261	C₂⁴	1	1	yes	characteristic
490	C₂²×#261	C₂⁴	1	1	yes	characteristic
491	C₂²×#261	C₂⁴	1	1	yes	characteristic
492	C₂²×#261	C₂⁴	1	1	yes	characteristic
493	C₂²×#261	C₂⁴	1	1	yes	characteristic
494	C₂²×#261	C₂⁴	1	1	yes	characteristic
495	C₂²×#261	C₂⁴	1	1	yes	characteristic
496	C₂²×#261	C₂⁴	1	1	yes	characteristic
497	C₂²×#261	C₂⁴	1	1	yes	characteristic
498	C₂²×#261	C₂⁴	1	1	yes	characteristic
499	C₂²×#261	C₂⁴	1	1	yes	characteristic
500	C₂²×#261	C₂⁴	1	1	yes	characteristic
501	C₂²×#261	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
506	Q₈×D₁₃	—	4	1	no	—
507	Q₈×D₁₃	—	4	1	no	—
508	Q₈×D₁₃	—	4	1	no	—
509	Q₈×D₁₃	—	4	1	no	—
510	C₂×C₄×D₁₃	—	4	1	no	—
511	C₂×C₄×D₁₃	—	4	1	no	—
512	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
529	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
530	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
531	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
532	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
533	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
534	C₂²⋊#261	—	2	2	no	—
535	C₂²⋊#261	—	4	1	no	—
536	C₂²⋊#261	—	4	1	no	—
537	C₂²⋊#261	—	4	1	no	—
538	C₂²⋊#261	—	4	1	no	—
539	C₂²⋊#261	—	4	1	no	—
540	C₄⋊#261	—	2	2	no	—
541	C₄⋊#261	—	2	2	no	—
542	C₄⋊#261	—	2	2	no	—
543	C₄⋊#261	—	4	1	no	—
544	C₄⋊#261	—	4	1	no	—
545	C₄⋊#261	—	4	1	no	—
546	C₄⋊#261	—	4	1	no	—
547	C₄⋊#261	—	4	1	no	—
548	C₄⋊#261	—	4	1	no	—
549	C₄⋊#261	—	4	1	no	—
550	C₄⋊#261	—	4	1	no	—
551	C₄⋊#261	—	4	1	no	—
552	C₄⋊#261	—	4	1	no	—
553	C₄⋊#261	—	4	1	no	—
554	C₄⋊#261	—	4	1	no	—
555	C₄⋊#261	—	4	1	no	—
556	C₄⋊#261	—	4	1	no	—
557	C₄⋊#261	—	4	1	no	—
558	C₄⋊#261	—	4	1	no	—
559	C₄⋊#261	—	4	1	no	—
560	C₄⋊#261	—	4	1	no	—
561	C₄⋊#261	—	4	1	no	—
562	C₄⋊#261	—	4	1	no	—
563	C₄⋊#261	—	4	1	no	—
564	C₄⋊#261	—	4	1	no	—
565	C₄⋊#261	—	4	1	no	—
566	C₄×#261	—	2	2	no	—
567	C₄×#261	—	2	2	no	—
568	C₄×#261	—	2	2	no	—
569	C₄×#261	—	2	2	no	—
570	C₄×#261	—	2	2	no	—
571	C₄×#261	—	4	1	no	—
572	C₄×#261	—	4	1	no	—
573	C₄×#261	—	4	1	no	—
574	C₄×#261	—	4	1	no	—
575	C₄×#261	—	4	1	no	—
576	C₄×#261	—	4	1	no	—
577	C₄×#261	—	4	1	no	—
578	C₄×#261	—	4	1	no	—
579	C₄×#261	—	4	1	no	—
580	C₄×#261	—	4	1	no	—
581	C₄×#261	—	4	1	no	—
582	C₄×#261	—	4	1	no	—
583	C₄×#261	—	4	1	no	—
584	C₄×#261	—	4	1	no	—
585	C₄×#261	—	4	1	no	—
586	C₄×#261	—	4	1	no	—
587	C₄×#261	—	4	1	no	—
588	C₄×#261	—	4	1	no	—
589	C₄×#261	—	4	1	no	—
590	C₄×#261	—	4	1	no	—
591	C₄×#261	—	4	1	no	—
592	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
619	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
620	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
621	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
622	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
623	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
630	#6103	C₂²×C₄	1	1	yes	characteristic
631	#6103	C₂²×C₄	1	1	yes	characteristic
632	#6103	C₂²×C₄	1	1	yes	characteristic
633	#6103	C₂²×C₄	1	1	yes	characteristic
634	#6103	C₂²×C₄	1	1	yes	characteristic
635	#6103	C₂²×C₄	1	1	yes	characteristic
636	#6103	C₂²×C₄	1	1	yes	characteristic
637	#6103	C₂²×C₄	1	1	yes	characteristic
638	#6103	C₂²×C₄	1	1	yes	characteristic
639	#6103	C₂²×C₄	1	1	yes	characteristic
640	#6103	C₂²×C₄	1	1	yes	characteristic
641	#6103	C₂²×C₄	1	1	yes	characteristic
642	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₁₃	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	C₂²×C₄	1	1	yes	characteristic
661	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
662	#6101	C₂²×C₄	1	1	yes	characteristic
663	#6101	C₂²×C₄	1	1	yes	characteristic
664	#6101	C₂²×C₄	1	1	yes	characteristic
665	#6101	C₂²×C₄	1	1	yes	characteristic
666	#6101	C₂²×C₄	1	1	yes	characteristic
667	#6101	C₂²×C₄	1	1	yes	characteristic
668	#6101	C₂²×C₄	1	1	yes	characteristic
669	#6101	C₂²×C₄	1	1	yes	characteristic
670	#6101	C₂²×C₄	1	1	yes	characteristic
671	#6101	C₂²×C₄	1	1	yes	characteristic
672	#6101	C₂²×C₄	1	1	yes	characteristic
673	#6101	C₂²×C₄	1	1	yes	characteristic
674	#6101	C₂²×C₄	1	1	yes	characteristic
675	#6101	C₂²×C₄	1	1	yes	characteristic
676	#6101	C₂²×C₄	1	1	yes	characteristic
677	#6101	C₂²×C₄	1	1	yes	characteristic
678	#6101	C₂²×C₄	1	1	yes	characteristic
679	#6101	C₂²×C₄	1	1	yes	characteristic
680	#6101	C₂²×C₄	1	1	yes	characteristic
681	#6101	C₂²×C₄	1	1	yes	characteristic
682	#6101	C₂²×C₄	1	1	yes	characteristic
683	#6101	C₂²×C₄	1	1	yes	characteristic
684	#6101	C₂²×C₄	1	1	yes	characteristic
685	#6101	C₂²×C₄	1	1	yes	characteristic
686	#6101	C₂²×C₄	1	1	yes	characteristic
687	#6101	C₂²×C₄	1	1	yes	characteristic
688	#6101	C₂²×C₄	1	1	yes	characteristic
689	#6101	C₂²×C₄	1	1	yes	characteristic
690	#6101	C₂²×C₄	1	1	yes	characteristic
691	#6101	C₂²×C₄	1	1	yes	characteristic
692	#6101	C₂²×C₄	1	1	yes	characteristic
693	#6101	C₂²×C₄	1	1	yes	characteristic
694	#6101	C₂²×C₄	1	1	yes	characteristic
695	#6101	C₂²×C₄	1	1	yes	characteristic
696	#6101	C₂²×C₄	1	1	yes	characteristic
697	#6101	C₂²×C₄	1	1	yes	characteristic
698	#6101	C₂²×C₄	1	1	yes	characteristic
699	#6101	C₂²×C₄	1	1	yes	characteristic
700	#6101	C₂²×C₄	1	1	yes	characteristic
701	#6101	C₂²×C₄	1	1	yes	characteristic
702	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
703	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
704	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
705	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
707	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
708	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
709	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
710	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
711	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
712	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
713	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
714	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
715	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
716	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
717	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
718	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
719	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
720	C₂×#541	—	13	1	no	—
721	#2383	—	13	1	no	—
722	#2382	—	13	1	no	—
723	#2382	—	13	1	no	—
724	#2378	—	13	1	no	—
725	#2373	—	13	1	no	—
726	#2373	—	13	1	no	—
727	#2373	—	13	1	no	—
728	#2371	—	13	1	no	—
729	#2371	—	13	1	no	—
730	#2370	—	13	1	no	—
731	#2370	—	13	1	no	—
732	#2368	—	13	1	no	—
733	#2356	—	13	1	no	—
734	#2355	—	13	1	no	—
735	#2346	—	13	1	no	—
736	#2343	—	13	1	no	—
737	#2336	—	13	1	no	—
738	#2336	—	13	1	no	—
739	#2334	—	13	1	no	—
740	#2334	—	13	1	no	—
741	#2334	—	13	1	no	—
742	#2332	—	13	1	no	—
743	#2331	—	13	1	no	—
744	#2331	—	13	1	no	—
745	#2330	—	13	1	no	—
746	#2329	—	13	1	no	—
747	#2320	—	13	1	no	—
748	C₄×#125	—	13	1	no	—
749	C₄×#126	—	13	1	no	—
750	#2295	—	13	1	no	—
751	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
752	C₂²×D₁₃	—	2	1	no	—
753	C₂²×D₁₃	—	2	1	no	—
754	C₂²×D₁₃	—	2	1	no	—
755	C₂²×D₁₃	—	2	1	no	—
756	C₂²×D₁₃	—	2	1	no	—
757	C₂²×D₁₃	—	2	1	no	—
758	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
759	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
760	C₂×#261	—	2	1	no	—
761	C₂×#261	—	2	1	no	—
762	C₂×#261	—	2	1	no	—
763	C₂×#261	—	2	1	no	—
764	C₂×#261	—	2	1	no	—
765	C₂×#261	—	2	1	no	—
766	C₂×#261	—	2	1	no	—
767	C₂×#261	—	2	1	no	—
768	C₂×#261	—	2	1	no	—
769	C₂×#261	—	2	1	no	—
770	C₂×#261	—	2	1	no	—
771	C₂×#261	—	2	1	no	—
772	C₂×#261	—	2	1	no	—
773	C₂×#261	—	2	1	no	—
774	C₂×#261	—	2	1	no	—
775	C₂×#261	—	2	1	no	—
776	C₂×#261	—	2	1	no	—
777	C₂×#261	—	2	1	no	—
778	C₂×#261	—	2	1	no	—
779	C₂×#261	—	2	1	no	—
780	C₂×#261	—	2	1	no	—
781	C₂×#261	—	2	1	no	—
782	C₂×#261	—	2	1	no	—
783	C₂×#261	—	2	1	no	—
784	C₂×#261	—	2	1	no	—
785	C₂×#261	—	2	1	no	—
786	C₂×#261	—	2	1	no	—
787	C₂×#261	—	2	1	no	—
788	C₂×#261	—	2	1	no	—
789	C₂×#261	—	2	1	no	—
790	C₂×#261	—	2	1	no	—
791	C₂×#261	—	2	1	no	—
792	C₂×#261	—	2	1	no	—
793	C₂×#261	—	2	1	no	—
794	C₂×#261	—	2	1	no	—
795	C₂×#261	—	2	1	no	—
796	C₂×#261	—	2	1	no	—
797	C₂×#261	—	2	1	no	—
798	C₂×#261	—	2	1	no	—
799	C₂×#261	—	2	1	no	—
800	C₂×#261	—	2	1	no	—
801	C₂×#261	—	2	1	no	—
802	C₂×#261	—	2	1	no	—
803	C₂×#261	—	2	1	no	—
804	C₂×#261	—	2	1	no	—
805	C₂×#261	—	2	1	no	—
806	C₂×#261	—	8	2	no	—
807	C₂×#261	—	8	2	no	—
808	C₂×#261	2₋¹⁺⁴	1	2	yes	—
809	C₂×#261	2₋¹⁺⁴	1	2	yes	—
810	Q₈×C₁₃	—	4	1	no	—
811	Q₈×C₁₃	—	4	1	no	—
812	C₂×C₄×C₁₃	—	4	1	no	—
813	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
827	C₂×Dic₁₃	—	4	1	no	—
828	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
829	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
830	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
831	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
832	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
833	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
834	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
835	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
836	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
837	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
838	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
839	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
840	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
841	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	1	no	—
845	C₄×D₁₃	—	2	1	no	—
846	C₄×D₁₃	—	2	1	no	—
847	C₄×D₁₃	—	2	1	no	—
848	C₄×D₁₃	—	2	1	no	—
849	C₄×D₁₃	—	2	1	no	—
850	C₄×D₁₃	—	2	1	no	—
851	C₄×D₁₃	—	2	1	no	—
852	C₄×D₁₃	—	2	1	no	—
853	C₄×D₁₃	—	2	1	no	—
854	C₄×D₁₃	—	2	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	2	1	no	—
861	C₄×D₁₃	—	2	1	no	—
862	C₄×D₁₃	—	2	1	no	—
863	C₄×D₁₃	—	2	1	no	—
864	C₄×D₁₃	—	2	1	no	—
865	C₄×D₁₃	—	2	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	4	1	no	—
871	C₄×D₁₃	—	4	1	no	—
872	Dic₂₆	—	4	1	no	—
873	Dic₂₆	—	4	1	no	—
874	Dic₂₆	—	4	1	no	—
875	Dic₂₆	—	4	1	no	—
876	Dic₂₆	—	4	1	no	—
877	Dic₂₆	—	4	1	no	—
878	#541	—	13	1	no	—
879	#541	—	13	1	no	—
880	#541	—	13	1	no	—
881	#541	—	13	1	no	—
882	#541	—	13	1	no	—
883	#541	—	13	1	no	—
884	#541	—	13	1	no	—
885	#541	—	13	1	no	—
886	#541	—	13	1	no	—
887	#541	—	13	1	no	—
888	#541	—	13	1	no	—
889	#541	—	13	1	no	—
890	#541	—	13	1	no	—
891	#541	—	13	1	no	—
892	#541	—	13	1	no	—
893	#541	#261	1	1	yes	characteristic, complemented
894	C₂×C₄⋊Q₈	—	13	1	no	—
895	C₂×#126	—	13	1	no	—
896	C₂×#126	—	13	1	no	—
897	C₂×#126	—	13	1	no	—
898	C₂×#126	—	13	1	no	—
899	C₂×#125	—	13	1	no	—
900	C₂×#125	—	13	1	no	—
901	C₂×#125	—	13	1	no	—
902	C₂×#125	—	13	1	no	—
903	C₂×#125	—	13	1	no	—
904	C₂×C₂²⋊Q₈	—	13	1	no	—
905	C₂×C₂²⋊Q₈	—	13	1	no	—
906	C₂×C₄×Q₈	—	13	1	no	—
907	C₂×C₄×Q₈	—	13	1	no	—
908	C₂×#117	—	13	1	no	—
909	#391	—	13	1	no	—
910	#391	—	13	1	no	—
911	#391	—	13	1	no	—
912	#391	—	13	1	no	—
913	#391	—	13	1	no	—
914	#391	—	13	1	no	—
915	#391	—	13	1	no	—
916	#391	—	13	1	no	—
917	#389	—	13	1	no	—
918	#389	—	13	1	no	—
919	#389	—	13	1	no	—
920	#389	—	13	1	no	—
921	#389	—	13	1	no	—
922	#389	—	13	1	no	—
923	#389	—	13	1	no	—
924	#389	—	13	1	no	—
925	#389	—	13	1	no	—
926	#389	—	13	1	no	—
927	#389	—	13	1	no	—
928	#389	—	13	1	no	—
929	#389	—	13	1	no	—
930	#389	—	13	1	no	—
931	#389	—	13	1	no	—
932	#389	—	13	1	no	—
933	#389	—	13	1	no	—
934	#389	—	13	1	no	—
935	#388	—	13	1	no	—
936	#388	—	13	1	no	—
937	#388	—	13	1	no	—
938	#388	—	13	1	no	—
939	#388	—	13	1	no	—
940	#388	—	13	1	no	—
941	#388	—	13	1	no	—
942	#388	—	13	1	no	—
943	#388	—	13	1	no	—
944	#388	—	13	1	no	—
945	#388	—	13	1	no	—
946	#388	—	13	1	no	—
947	#387	—	13	1	no	—
948	#387	—	13	1	no	—
949	#387	—	13	1	no	—
950	#387	—	13	1	no	—
951	#387	—	13	1	no	—
952	#387	—	13	1	no	—
953	#387	—	13	1	no	—
954	#387	—	13	1	no	—
955	#387	—	13	1	no	—
956	#387	—	13	1	no	—
957	#387	—	13	1	no	—
958	#387	—	13	1	no	—
959	#387	—	13	1	no	—
960	#387	—	13	1	no	—
961	#387	—	13	1	no	—
962	#387	—	13	1	no	—
963	#387	—	13	1	no	—
964	#387	—	13	1	no	—
965	#387	—	13	1	no	—
966	#387	—	13	1	no	—
967	#387	—	13	1	no	—
968	#387	—	13	1	no	—
969	#387	—	13	1	no	—
970	#387	—	13	1	no	—
971	#387	—	13	1	no	—
972	#387	—	13	1	no	—
973	#387	—	13	1	no	—
974	#387	—	13	1	no	—
975	#387	—	13	1	no	—
976	#387	—	13	1	no	—
977	#387	—	13	1	no	—
978	#387	—	13	1	no	—
979	#387	—	13	1	no	—
980	#387	—	13	1	no	—
981	#387	—	13	1	no	—
982	#387	—	13	1	no	—
983	#387	—	13	1	no	—
984	#387	—	13	1	no	—
985	#387	—	13	1	no	—
986	#387	—	13	1	no	—
987	#387	—	13	1	no	—
988	#387	—	13	1	no	—
989	#387	—	13	1	no	—
990	#387	—	13	1	no	—
991	#385	—	13	1	no	—
992	#385	—	13	1	no	—
993	#385	—	13	1	no	—
994	#385	—	13	1	no	—
995	#385	—	13	1	no	—
996	#385	—	13	1	no	—
997	#384	—	13	1	no	—
998	#383	—	13	1	no	—
999	#383	—	13	1	no	—
1000	#383	—	13	1	no	—
1001	#382	—	13	1	no	—
1002	#382	—	13	1	no	—
1003	#382	—	13	1	no	—
1004	#382	—	13	1	no	—
1005	#382	—	13	1	no	—
1006	#382	—	13	1	no	—
1007	#381	—	13	1	no	—
1008	#380	—	13	1	no	—
1009	C₄×C₄⋊C₄	—	13	1	no	—
1010	C₄×C₄⋊C₄	—	13	1	no	—
1011	C₄×C₄⋊C₄	—	13	1	no	—
1012	C₄×C₄⋊C₄	—	13	1	no	—
1013	C₄×C₄⋊C₄	—	13	1	no	—
1014	C₄×C₄⋊C₄	—	13	1	no	—
1015	C₄×C₄⋊C₄	—	13	1	no	—
1016	C₄×C₄⋊C₄	—	13	1	no	—
1017	C₄×C₄⋊C₄	—	13	1	no	—
1018	C₄×C₄⋊C₄	—	13	1	no	—
1019	C₄×C₄⋊C₄	—	13	1	no	—
1020	C₄×C₄⋊C₄	—	13	1	no	—
1021	C₄×C₄⋊C₄	—	13	1	no	—
1022	C₄×C₄⋊C₄	—	13	1	no	—
1023	C₄×C₄⋊C₄	—	13	1	no	—
1024	C₄×C₄⋊C₄	—	13	1	no	—
1025	C₄×C₄⋊C₄	—	13	1	no	—
1026	C₄×C₄⋊C₄	—	13	1	no	—
1027	C₄×C₄⋊C₄	—	13	1	no	—
1028	C₄×C₄⋊C₄	—	13	1	no	—
1029	C₄×C₄⋊C₄	—	13	1	no	—
1030	C₄×C₄⋊C₄	—	13	1	no	—
1031	C₄×C₄⋊C₄	—	13	1	no	—
1032	C₄×C₄⋊C₄	—	13	1	no	—
1033	C₄×C₄⋊C₄	—	13	1	no	—
1034	C₄×C₂²⋊C₄	—	13	1	no	—
1035	C₄×C₂²⋊C₄	—	13	1	no	—
1036	C₄×C₂²⋊C₄	—	13	1	no	—
1037	C₄×C₂²⋊C₄	—	13	1	no	—
1038	C₄×C₂²⋊C₄	—	13	1	no	—
1039	C₄×C₂²⋊C₄	—	13	1	no	—
1040	C₄×C₂²⋊C₄	—	13	1	no	—
1041	#376	—	13	1	no	—
1042	#376	—	13	1	no	—
1043	#376	—	13	1	no	—
1044	#376	—	13	1	no	—
1045	#376	—	13	1	no	—
1046	#376	—	13	1	no	—
1047	C₂×#95	—	13	1	no	—
1048	C₄³	—	13	1	no	—
1049	C₂²×C₁₃	—	2	1	no	—
1050	C₂²×C₁₃	—	2	1	no	—
1051	C₂²×C₁₃	—	2	1	no	—
1052	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1061	C₂×D₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1062	C₂×D₁₃	#585	1	1	yes	characteristic
1063	C₂×D₁₃	#585	1	1	yes	characteristic
1064	C₂×D₁₃	#585	1	1	yes	characteristic
1065	C₂×D₁₃	#585	1	1	yes	characteristic
1066	#261	—	2	2	no	—
1067	#261	—	2	2	no	—
1068	#261	—	4	1	no	—
1069	#261	—	4	1	no	—
1070	#261	—	4	1	no	—
1071	#261	—	4	1	no	—
1072	#261	—	4	1	no	—
1073	#261	—	4	1	no	—
1074	#261	—	4	1	no	—
1075	#261	—	4	1	no	—
1076	#261	—	4	1	no	—
1077	#261	—	4	1	no	—
1078	#261	—	4	1	no	—
1079	#261	—	4	1	no	—
1080	#261	—	4	1	no	—
1081	#261	—	4	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	2	1	no	—
1091	C₄×C₁₃	—	2	1	no	—
1092	C₄×C₁₃	—	2	1	no	—
1093	C₄×C₁₃	—	2	1	no	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	Dic₁₃	—	2	1	no	—
1097	Dic₁₃	—	2	1	no	—
1098	Dic₁₃	—	2	1	no	—
1099	Dic₁₃	—	2	1	no	—
1100	Dic₁₃	—	2	1	no	—
1101	Dic₁₃	—	2	1	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	2	1	no	—
1104	Dic₁₃	—	2	1	no	—
1105	Dic₁₃	—	2	1	no	—
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	C₂²×Q₈	—	13	1	no	—
1111	C₂²×Q₈	—	13	1	no	—
1112	C₂³×C₄	—	13	1	no	—
1113	C₂³×C₄	—	13	1	no	—
1114	C₂³×C₄	—	13	1	no	—
1115	C₄⋊Q₈	—	13	1	no	—
1116	C₄⋊Q₈	—	13	1	no	—
1117	C₄⋊Q₈	—	13	1	no	—
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	C₄⋊Q₈	—	13	1	no	—
1121	C₄⋊Q₈	—	13	1	no	—
1122	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1123	#126	—	13	1	no	—
1124	#126	—	13	1	no	—
1125	#126	—	13	1	no	—
1126	#126	—	13	1	no	—
1127	#126	—	13	1	no	—
1128	#126	—	13	1	no	—
1129	#126	—	13	1	no	—
1130	#126	—	13	1	no	—
1131	#126	—	13	1	no	—
1132	#126	—	13	1	no	—
1133	#126	—	13	1	no	—
1134	#126	—	13	1	no	—
1135	#126	—	13	1	no	—
1136	#126	—	13	1	no	—
1137	#126	—	13	1	no	—
1138	#126	—	13	1	no	—
1139	#126	—	13	1	no	—
1140	#126	—	13	1	no	—
1141	#126	—	13	1	no	—
1142	#126	—	13	1	no	—
1143	#126	—	13	1	no	—
1144	#126	—	13	1	no	—
1145	#126	—	13	1	no	—
1146	#126	—	13	1	no	—
1147	#126	—	13	1	no	—
1148	#126	—	13	1	no	—
1149	#126	—	13	1	no	—
1150	#126	—	13	1	no	—
1151	#126	C₂×#261	1	1	yes	characteristic
1152	#126	C₂×#261	1	1	yes	characteristic
1153	#126	C₂×#261	1	1	yes	characteristic
1154	#126	C₂×#261	1	1	yes	characteristic
1155	#125	—	13	1	no	—
1156	#125	—	13	1	no	—
1157	#125	—	13	1	no	—
1158	#125	—	13	1	no	—
1159	#125	—	13	1	no	—
1160	#125	—	13	1	no	—
1161	#125	—	13	1	no	—
1162	#125	—	13	1	no	—
1163	#125	—	13	1	no	—
1164	#125	—	13	1	no	—
1165	#125	—	13	1	no	—
1166	#125	—	13	1	no	—
1167	#125	—	13	1	no	—
1168	#125	—	13	1	no	—
1169	#125	—	13	1	no	—
1170	#125	—	13	1	no	—
1171	#125	—	13	1	no	—
1172	#125	—	13	1	no	—
1173	#125	—	13	1	no	—
1174	#125	—	13	1	no	—
1175	#125	—	13	1	no	—
1176	#125	—	13	1	no	—
1177	#125	—	13	1	no	—
1178	#125	—	13	1	no	—
1179	#125	—	13	1	no	—
1180	#125	—	13	1	no	—
1181	#125	—	13	1	no	—
1182	#125	—	13	1	no	—
1183	#125	—	13	1	no	—
1184	#125	—	13	1	no	—
1185	#125	—	13	1	no	—
1186	#125	—	13	1	no	—
1187	#125	—	13	1	no	—
1188	#125	—	13	1	no	—
1189	#125	—	13	1	no	—
1190	#125	C₂×#261	1	1	yes	characteristic, complemented
1191	#125	C₂×#261	1	1	yes	characteristic, complemented
1192	#125	C₂×#261	1	1	yes	characteristic, complemented
1193	#125	C₂×#261	1	1	yes	characteristic, complemented
1194	#125	C₂×#261	1	1	yes	characteristic, complemented
1195	C₂²⋊Q₈	—	13	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	13	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	13	1	no	—
1205	C₂²⋊Q₈	—	13	1	no	—
1206	C₂²⋊Q₈	—	13	1	no	—
1207	C₂²⋊Q₈	—	13	1	no	—
1208	C₂²⋊Q₈	—	13	1	no	—
1209	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1211	C₄×Q₈	—	13	1	no	—
1212	C₄×Q₈	—	13	1	no	—
1213	C₄×Q₈	—	13	1	no	—
1214	C₄×Q₈	—	13	1	no	—
1215	C₄×Q₈	—	13	1	no	—
1216	C₄×Q₈	—	13	1	no	—
1217	C₄×Q₈	—	13	1	no	—
1218	C₄×Q₈	—	13	1	no	—
1219	C₄×Q₈	—	13	1	no	—
1220	C₄×Q₈	—	13	1	no	—
1221	C₄×Q₈	—	13	1	no	—
1222	C₄×Q₈	—	13	1	no	—
1223	C₄×Q₈	—	13	1	no	—
1224	C₄×Q₈	—	13	1	no	—
1225	C₄×Q₈	C₂×#261	1	1	yes	characteristic, complemented
1226	C₄×Q₈	C₂×#261	1	1	yes	characteristic, complemented
1227	#117	—	13	1	no	—
1228	#117	—	13	1	no	—
1229	#117	—	13	1	no	—
1230	#117	—	13	1	no	—
1231	#117	—	13	1	no	—
1232	#117	—	13	1	no	—
1233	#117	—	13	1	no	—
1234	#117	C₂×#261	1	1	yes	characteristic
1235	C₂×C₄⋊C₄	—	13	1	no	—
1236	C₂×C₄⋊C₄	—	13	1	no	—
1237	C₂×C₄⋊C₄	—	13	1	no	—
1238	C₂×C₄⋊C₄	—	13	1	no	—
1239	C₂×C₄⋊C₄	—	13	1	no	—
1240	C₂×C₄⋊C₄	—	13	1	no	—
1241	C₂×C₄⋊C₄	—	13	1	no	—
1242	C₂×C₄⋊C₄	—	13	1	no	—
1243	C₂×C₄⋊C₄	—	13	1	no	—
1244	C₂×C₄⋊C₄	—	13	1	no	—
1245	C₂×C₄⋊C₄	—	13	1	no	—
1246	C₂×C₄⋊C₄	—	13	1	no	—
1247	C₂×C₄⋊C₄	—	13	1	no	—
1248	C₂×C₄⋊C₄	—	13	1	no	—
1249	C₂×C₄⋊C₄	—	13	1	no	—
1250	C₂×C₄⋊C₄	—	13	1	no	—
1251	C₂×C₄⋊C₄	—	13	1	no	—
1252	C₂×C₄⋊C₄	—	13	1	no	—
1253	C₂×C₄⋊C₄	—	13	1	no	—
1254	C₂×C₄⋊C₄	—	13	1	no	—
1255	C₂×C₄⋊C₄	—	13	1	no	—
1256	C₂×C₄⋊C₄	—	13	1	no	—
1257	C₂×C₄⋊C₄	—	13	1	no	—
1258	C₂×C₄⋊C₄	—	13	1	no	—
1259	C₂×C₄⋊C₄	—	13	1	no	—
1260	C₂×C₄⋊C₄	—	13	1	no	—
1261	C₂×C₄⋊C₄	—	13	1	no	—
1262	C₂×C₄⋊C₄	—	13	1	no	—
1263	C₂×C₄⋊C₄	—	13	1	no	—
1264	C₂×C₄⋊C₄	—	13	1	no	—
1265	C₂×C₄⋊C₄	—	13	1	no	—
1266	C₂×C₄⋊C₄	—	13	1	no	—
1267	C₂×C₄⋊C₄	—	13	1	no	—
1268	C₂×C₄⋊C₄	—	13	1	no	—
1269	C₂×C₄⋊C₄	—	13	1	no	—
1270	C₂×C₄⋊C₄	—	13	1	no	—
1271	C₂×C₄⋊C₄	—	13	1	no	—
1272	C₂×C₄⋊C₄	—	13	1	no	—
1273	C₂×C₄⋊C₄	—	13	1	no	—
1274	C₂×C₄⋊C₄	—	13	1	no	—
1275	C₂×C₄⋊C₄	—	13	1	no	—
1276	C₂×C₄⋊C₄	—	13	1	no	—
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	—	13	1	no	—
1280	C₂×C₄⋊C₄	—	13	1	no	—
1281	C₂×C₂²⋊C₄	—	13	1	no	—
1282	C₂×C₂²⋊C₄	—	13	1	no	—
1283	C₂×C₂²⋊C₄	—	13	1	no	—
1284	C₂×C₂²⋊C₄	—	13	1	no	—
1285	C₂×C₂²⋊C₄	—	13	1	no	—
1286	C₂×C₂²⋊C₄	—	13	1	no	—
1287	C₂×C₂²⋊C₄	—	13	1	no	—
1288	C₂×C₂²⋊C₄	—	13	1	no	—
1289	C₂×C₂²⋊C₄	—	13	1	no	—
1290	C₂×C₂²⋊C₄	—	13	1	no	—
1291	C₂×C₂²⋊C₄	—	13	1	no	—
1292	C₂×C₂²⋊C₄	—	13	1	no	—
1293	C₂×C₄²	—	13	1	no	—
1294	C₂×C₄²	—	13	1	no	—
1295	C₂×C₄²	—	13	1	no	—
1296	C₂×C₄²	—	13	1	no	—
1297	C₂×C₄²	—	13	1	no	—
1298	C₂×C₄²	—	13	1	no	—
1299	C₂×C₄²	—	13	1	no	—
1300	C₂×C₄²	—	13	1	no	—
1301	C₂×C₄²	—	13	1	no	—
1302	C₂×C₄²	—	13	1	no	—
1303	C₂×C₄²	—	13	1	no	—
1304	C₂×C₄²	—	13	1	no	—
1305	C₂×C₄²	—	13	1	no	—
1306	C₂×C₄²	—	13	1	no	—
1307	C₂×C₄²	—	13	1	no	—
1308	C₂×C₄²	—	13	1	no	—
1309	C₂×C₄²	—	13	1	no	—
1310	C₂×C₄²	—	13	1	no	—
1311	C₂×C₄²	—	13	1	no	—
1312	C₂×C₄²	—	13	1	no	—
1313	C₂×C₄²	—	13	1	no	—
1314	C₂×C₄²	—	13	1	no	—
1315	C₂×C₄²	—	13	1	no	—
1316	C₂×C₄²	—	13	1	no	—
1317	C₂×C₄²	—	13	1	no	—
1318	C₂×C₄²	—	13	1	no	—
1319	C₂×C₄²	—	13	1	no	—
1320	C₂×C₄²	—	13	1	no	—
1321	C₂×C₄²	—	13	1	no	—
1322	C₂×C₄²	—	13	1	no	—
1323	C₂×C₄²	—	13	1	no	—
1324	C₂×C₄²	—	13	1	no	—
1325	#95	—	13	1	no	—
1326	#95	—	13	1	no	—
1327	#95	—	13	1	no	—
1328	#95	—	13	1	no	—
1329	#95	—	13	1	no	—
1330	#95	—	13	1	no	—
1331	#95	—	13	1	no	—
1332	#95	—	13	1	no	—
1333	#95	—	13	1	no	—
1334	#95	—	13	1	no	—
1335	#95	—	13	1	no	—
1336	#95	—	13	1	no	—
1337	#95	—	13	1	no	—
1338	#95	—	13	1	no	—
1339	#95	—	13	1	no	—
1340	#95	—	13	1	no	—
1341	#95	—	13	1	no	—
1342	#95	—	13	1	no	—
1343	#95	—	13	1	no	—
1344	#95	—	13	1	no	—
1345	#95	—	13	1	no	—
1346	#95	—	13	1	no	—
1347	#95	—	13	1	no	—
1348	#95	—	13	1	no	—
1349	#95	—	13	1	no	—
1350	#95	—	13	1	no	—
1351	#95	—	13	1	no	—
1352	#95	—	13	1	no	—
1353	#95	—	13	1	no	—
1354	#95	—	13	1	no	—
1355	#95	—	13	1	no	—
1356	#95	—	13	1	no	—
1357	#95	—	13	1	no	—
1358	#95	—	13	1	no	—
1359	#95	—	13	1	no	—
1360	#95	—	13	1	no	—
1361	#95	—	13	1	no	—
1362	#95	—	13	1	no	—
1363	#95	—	13	1	no	—
1364	#95	—	13	1	no	—
1365	#95	—	13	1	no	—
1366	#95	—	13	1	no	—
1367	#95	—	13	1	no	—
1368	#95	—	13	1	no	—
1369	#95	—	13	1	no	—
1370	#95	—	13	1	no	—
1371	#95	—	13	1	no	—
1372	#95	—	13	1	no	—
1373	#95	—	13	1	no	—
1374	#95	—	13	1	no	—
1375	#95	—	13	1	no	—
1376	#95	—	13	1	no	—
1377	#95	—	13	1	no	—
1378	#95	—	13	1	no	—
1379	#95	—	13	1	no	—
1380	#95	—	13	1	no	—
1381	#95	—	13	1	no	—
1382	#95	—	13	1	no	—
1383	#95	—	13	1	no	—
1384	#95	—	13	1	no	—
1385	C₂×C₁₃	—	4	1	no	—
1386	C₂×C₁₃	#3428	1	1	yes	characteristic
1387	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1388	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1389	D₁₃	—	4	1	no	—
1390	D₁₃	#3563	1	1	yes	characteristic
1391	D₁₃	#3564	1	1	yes	characteristic
1392	D₁₃	#3565	1	1	yes	characteristic
1393	D₁₃	#3566	1	1	yes	characteristic
1394	C₂⁴	—	13	1	no	—
1395	C₂×Q₈	—	13	1	no	—
1396	C₂×Q₈	—	13	1	no	—
1397	C₂×Q₈	—	13	1	no	—
1398	C₂×Q₈	—	13	1	no	—
1399	C₂×Q₈	—	13	1	no	—
1400	C₂×Q₈	—	13	1	no	—
1401	C₂×Q₈	—	52	1	no	—
1402	C₂×Q₈	—	52	1	no	—
1403	C₂×Q₈	—	52	1	no	—
1404	C₂×Q₈	—	52	1	no	—
1405	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1406	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1407	C₂²×C₄	—	13	1	no	—
1408	C₂²×C₄	—	13	1	no	—
1409	C₂²×C₄	—	13	1	no	—
1410	C₂²×C₄	—	13	1	no	—
1411	C₂²×C₄	—	13	1	no	—
1412	C₂²×C₄	—	13	1	no	—
1413	C₂²×C₄	—	13	1	no	—
1414	C₂²×C₄	—	13	1	no	—
1415	C₂²×C₄	—	13	1	no	—
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	—	26	2	no	—
1441	C₂²×C₄	—	52	1	no	—
1442	C₂²×C₄	—	52	1	no	—
1443	C₂²×C₄	—	52	1	no	—
1444	C₂²×C₄	—	52	1	no	—
1445	C₂²×C₄	—	52	1	no	—
1446	C₂²×C₄	—	52	1	no	—
1447	C₂²×C₄	—	52	1	no	—
1448	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1449	C₄⋊C₄	—	13	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	13	1	no	—
1453	C₄⋊C₄	—	13	1	no	—
1454	C₄⋊C₄	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	13	1	no	—
1460	C₄⋊C₄	—	13	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	13	1	no	—
1464	C₄⋊C₄	—	13	1	no	—
1465	C₄⋊C₄	—	13	1	no	—
1466	C₄⋊C₄	—	13	1	no	—
1467	C₄⋊C₄	—	13	1	no	—
1468	C₄⋊C₄	—	13	1	no	—
1469	C₄⋊C₄	—	13	1	no	—
1470	C₄⋊C₄	—	13	1	no	—
1471	C₄⋊C₄	—	13	1	no	—
1472	C₄⋊C₄	—	13	1	no	—
1473	C₄⋊C₄	—	13	1	no	—
1474	C₄⋊C₄	—	13	1	no	—
1475	C₄⋊C₄	—	13	1	no	—
1476	C₄⋊C₄	—	13	1	no	—
1477	C₄⋊C₄	—	13	1	no	—
1478	C₄⋊C₄	—	13	1	no	—
1479	C₄⋊C₄	—	13	1	no	—
1480	C₄⋊C₄	—	13	1	no	—
1481	C₄⋊C₄	—	13	1	no	—
1482	C₄⋊C₄	—	13	1	no	—
1483	C₄⋊C₄	—	13	1	no	—
1484	C₄⋊C₄	—	13	1	no	—
1485	C₄⋊C₄	—	13	1	no	—
1486	C₄⋊C₄	—	13	1	no	—
1487	C₄⋊C₄	—	13	1	no	—
1488	C₄⋊C₄	—	13	1	no	—
1489	C₄⋊C₄	—	13	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	13	1	no	—
1492	C₄⋊C₄	—	13	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	13	1	no	—
1500	C₄⋊C₄	—	13	1	no	—
1501	C₄⋊C₄	—	13	1	no	—
1502	C₄⋊C₄	—	13	1	no	—
1503	C₄⋊C₄	—	13	1	no	—
1504	C₄⋊C₄	—	13	1	no	—
1505	C₄⋊C₄	—	13	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	26	2	no	—
1510	C₄⋊C₄	—	26	2	no	—
1511	C₄⋊C₄	—	26	2	no	—
1512	C₄⋊C₄	—	52	1	no	—
1513	C₄⋊C₄	—	52	1	no	—
1514	C₄⋊C₄	—	52	1	no	—
1515	C₄⋊C₄	—	52	1	no	—
1516	C₄⋊C₄	—	52	1	no	—
1517	C₄⋊C₄	—	52	1	no	—
1518	C₄⋊C₄	—	52	1	no	—
1519	C₄⋊C₄	—	52	1	no	—
1520	C₄⋊C₄	—	52	1	no	—
1521	C₄⋊C₄	—	52	1	no	—
1522	C₄⋊C₄	—	52	1	no	—
1523	C₄⋊C₄	—	52	1	no	—
1524	C₄⋊C₄	—	52	1	no	—
1525	C₄⋊C₄	—	52	1	no	—
1526	C₄⋊C₄	—	52	1	no	—
1527	C₄⋊C₄	—	52	1	no	—
1528	C₄⋊C₄	—	52	1	no	—
1529	C₄⋊C₄	—	52	1	no	—
1530	C₄⋊C₄	—	52	1	no	—
1531	C₄⋊C₄	—	52	1	no	—
1532	C₄⋊C₄	—	52	1	no	—
1533	C₄⋊C₄	—	52	1	no	—
1534	C₄⋊C₄	—	52	1	no	—
1535	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1536	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1537	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1538	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1539	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1540	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1541	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1542	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1543	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1544	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1545	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1546	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1547	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1548	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1549	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1550	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1551	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1552	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1553	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1554	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1555	C₂²⋊C₄	—	13	1	no	—
1556	C₂²⋊C₄	—	13	1	no	—
1557	C₂²⋊C₄	—	13	1	no	—
1558	C₂²⋊C₄	—	13	1	no	—
1559	C₂²⋊C₄	—	13	1	no	—
1560	C₂²⋊C₄	—	13	1	no	—
1561	C₂²⋊C₄	—	13	1	no	—
1562	C₂²⋊C₄	—	13	1	no	—
1563	C₂²⋊C₄	—	13	1	no	—
1564	C₂²⋊C₄	—	13	1	no	—
1565	C₂²⋊C₄	—	13	1	no	—
1566	C₂²⋊C₄	—	13	1	no	—
1567	C₂²⋊C₄	—	13	1	no	—
1568	C₂²⋊C₄	—	13	1	no	—
1569	C₂²⋊C₄	—	13	1	no	—
1570	C₂²⋊C₄	—	13	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	26	2	no	—
1574	C₂²⋊C₄	—	52	1	no	—
1575	C₂²⋊C₄	—	52	1	no	—
1576	C₂²⋊C₄	—	52	1	no	—
1577	C₂²⋊C₄	—	52	1	no	—
1578	C₂²⋊C₄	—	52	1	no	—
1579	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1585	C₄²	—	13	1	no	—
1586	C₄²	—	13	1	no	—
1587	C₄²	—	13	1	no	—
1588	C₄²	—	13	1	no	—
1589	C₄²	—	13	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	13	1	no	—
1592	C₄²	—	13	1	no	—
1593	C₄²	—	13	1	no	—
1594	C₄²	—	13	1	no	—
1595	C₄²	—	13	1	no	—
1596	C₄²	—	13	1	no	—
1597	C₄²	—	13	1	no	—
1598	C₄²	—	13	1	no	—
1599	C₄²	—	13	1	no	—
1600	C₄²	—	13	1	no	—
1601	C₄²	—	13	1	no	—
1602	C₄²	—	13	1	no	—
1603	C₄²	—	26	2	no	—
1604	C₄²	—	26	2	no	—
1605	C₄²	—	26	2	no	—
1606	C₄²	—	26	2	no	—
1607	C₄²	—	26	2	no	—
1608	C₄²	—	52	1	no	—
1609	C₄²	—	52	1	no	—
1610	C₄²	—	52	1	no	—
1611	C₄²	—	52	1	no	—
1612	C₄²	—	52	1	no	—
1613	C₄²	—	52	1	no	—
1614	C₄²	—	52	1	no	—
1615	C₄²	—	52	1	no	—
1616	C₄²	—	52	1	no	—
1617	C₄²	—	52	1	no	—
1618	C₄²	—	52	1	no	—
1619	C₄²	—	52	1	no	—
1620	C₄²	—	52	1	no	—
1621	C₄²	—	52	1	no	—
1622	C₄²	—	52	1	no	—
1623	C₄²	—	52	1	no	—
1624	C₄²	—	52	1	no	—
1625	C₄²	—	52	1	no	—
1626	C₄²	—	52	1	no	—
1627	C₄²	—	52	1	no	—
1628	C₄²	—	52	1	no	—
1629	C₄²	C₂²×#261	1	1	yes	characteristic
1630	C₄²	C₂²×#261	1	1	yes	characteristic
1631	C₄²	C₂²×#261	1	1	yes	characteristic
1632	C₄²	C₂²×#261	1	1	yes	characteristic
1633	C₄²	C₂²×#261	1	1	yes	characteristic
1634	C₄²	C₂²×#261	1	1	yes	characteristic
1635	C₁₃	#34455	1	1	yes	characteristic, complemented, Sylow
1636	C₂³	—	13	1	no	—
1637	C₂³	—	13	1	no	—
1638	C₂³	—	26	1	no	—
1639	C₂³	—	26	1	no	—
1640	C₂³	—	26	1	no	—
1641	C₂³	—	26	1	no	—
1642	C₂³	—	26	1	no	—
1643	C₂³	—	26	1	no	—
1644	C₂³	C₂³×#261	1	1	yes	characteristic
1645	Q₈	—	4	1	no	—
1646	Q₈	—	4	1	no	—
1647	Q₈	—	52	1	no	—
1648	Q₈	—	52	1	no	—
1649	Q₈	—	52	1	no	—
1650	Q₈	—	52	1	no	—
1651	Q₈	—	52	1	no	—
1652	Q₈	—	52	1	no	—
1653	C₂×C₄	—	4	1	no	—
1654	C₂×C₄	—	13	2	no	—
1655	C₂×C₄	—	13	2	no	—
1656	C₂×C₄	—	13	1	no	—
1657	C₂×C₄	—	13	1	no	—
1658	C₂×C₄	—	13	1	no	—
1659	C₂×C₄	—	13	1	no	—
1660	C₂×C₄	—	13	1	no	—
1661	C₂×C₄	—	13	1	no	—
1662	C₂×C₄	—	13	1	no	—
1663	C₂×C₄	—	13	1	no	—
1664	C₂×C₄	—	13	1	no	—
1665	C₂×C₄	—	13	1	no	—
1666	C₂×C₄	—	13	1	no	—
1667	C₂×C₄	—	13	1	no	—
1668	C₂×C₄	—	13	1	no	—
1669	C₂×C₄	—	13	1	no	—
1670	C₂×C₄	—	26	1	no	—
1671	C₂×C₄	—	26	1	no	—
1672	C₂×C₄	—	26	1	no	—
1673	C₂×C₄	—	26	1	no	—
1674	C₂×C₄	—	26	1	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	26	1	no	—
1677	C₂×C₄	—	26	1	no	—
1678	C₂×C₄	—	26	1	no	—
1679	C₂×C₄	—	26	1	no	—
1680	C₂×C₄	—	26	1	no	—
1681	C₂×C₄	—	26	1	no	—
1682	C₂×C₄	—	26	1	no	—
1683	C₂×C₄	—	26	1	no	—
1684	C₂×C₄	—	26	1	no	—
1685	C₂×C₄	—	26	1	no	—
1686	C₂×C₄	—	26	1	no	—
1687	C₂×C₄	—	26	1	no	—
1688	C₂×C₄	—	26	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	26	1	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	26	1	no	—
1701	C₂×C₄	—	26	1	no	—
1702	C₂×C₄	—	26	1	no	—
1703	C₂×C₄	—	26	1	no	—
1704	C₂×C₄	—	26	1	no	—
1705	C₂×C₄	—	26	1	no	—
1706	C₂×C₄	—	26	1	no	—
1707	C₂×C₄	—	26	1	no	—
1708	C₂×C₄	—	26	1	no	—
1709	C₂×C₄	—	26	1	no	—
1710	C₂×C₄	—	26	1	no	—
1711	C₂×C₄	—	26	1	no	—
1712	C₂×C₄	—	26	1	no	—
1713	C₂×C₄	—	26	1	no	—
1714	C₂×C₄	—	26	1	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	26	1	no	—
1721	C₂×C₄	—	26	1	no	—
1722	C₂×C₄	—	26	1	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	26	1	no	—
1727	C₂×C₄	—	26	1	no	—
1728	C₂×C₄	—	26	1	no	—
1729	C₂×C₄	—	26	1	no	—
1730	C₂×C₄	—	26	1	no	—
1731	C₂×C₄	—	26	1	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	26	1	no	—
1734	C₂×C₄	—	26	1	no	—
1735	C₂×C₄	—	26	1	no	—
1736	C₂×C₄	—	26	1	no	—
1737	C₂×C₄	—	26	1	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	52	1	no	—
1745	C₂×C₄	—	52	1	no	—
1746	C₂×C₄	—	52	1	no	—
1747	C₂×C₄	—	104	2	no	—
1748	C₂×C₄	—	104	2	no	—
1749	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1750	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1751	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1752	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1753	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1754	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1755	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1756	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1757	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1758	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1759	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1760	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1761	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1762	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	13	1	no	—
1767	C₂²	—	13	1	no	—
1768	C₂²	—	13	1	no	—
1769	C₂²	—	13	1	no	—
1770	C₂²	—	13	1	no	—
1771	C₂²	—	13	1	no	—
1772	C₂²	—	26	1	no	—
1773	C₂²	—	26	1	no	—
1774	C₂²	—	26	1	no	—
1775	C₂²	—	52	1	no	—
1776	C₂²	—	52	1	no	—
1777	C₂²	—	52	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	C₂⁴×#261	1	1	yes	characteristic
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	1	no	—
1785	C₄	—	2	1	no	—
1786	C₄	—	2	1	no	—
1787	C₄	—	2	1	no	—
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	26	2	no	—
1795	C₄	—	26	2	no	—
1796	C₄	—	26	1	no	—
1797	C₄	—	26	1	no	—
1798	C₄	—	26	1	no	—
1799	C₄	—	26	1	no	—
1800	C₄	—	26	1	no	—
1801	C₄	—	26	1	no	—
1802	C₄	—	26	1	no	—
1803	C₄	—	26	1	no	—
1804	C₄	—	26	1	no	—
1805	C₄	—	26	1	no	—
1806	C₄	—	26	1	no	—
1807	C₄	—	26	1	no	—
1808	C₄	—	26	1	no	—
1809	C₄	—	26	1	no	—
1810	C₄	—	52	1	no	—
1811	C₄	—	52	1	no	—
1812	C₄	—	52	1	no	—
1813	C₄	—	52	1	no	—
1814	C₄	—	52	1	no	—
1815	C₄	—	52	1	no	—
1816	C₄	—	52	1	no	—
1817	C₄	—	52	1	no	—
1818	C₄	—	52	1	no	—
1819	C₄	—	52	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	—	52	1	no	—
1822	C₄	—	52	1	no	—
1823	C₄	—	52	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	13	1	no	—
1826	C₂	—	13	1	no	—
1827	C₂	—	13	1	no	—
1828	C₂	—	13	1	no	—
1829	C₂	—	52	1	no	—
1830	C₂	#13131816	1	1	yes	characteristic
1831	C₂	2₋¹⁺⁴×#261	1	1	yes	characteristic
1832	C₂	2₋¹⁺⁴×#261	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#541	C₄
prime radical	C₂³×D₁₃	C₂⁴
cosocle	C₂²×D₁₃	C₂⁵
hypercenter	#541	#261
hypocenter	C₁₃	#34455
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
2. #13131382	C₂	semidirect
3. #13131382	C₂	semidirect
8. #13131371	C₂	semidirect
9. #13131371	C₂	semidirect
10. #13131370	C₂	semidirect
11. #13131370	C₂	semidirect
13. #13131356	C₂	semidirect
14. #13131355	C₂	semidirect
17. #13131336	C₂	semidirect
18. #13131336	C₂	semidirect
23. #13131331	C₂	semidirect
24. #13131331	C₂	semidirect
25. #13131330	C₂	semidirect
27. #13131320	C₂	semidirect
28. #125×#261	C₂	semidirect
30. #13131295	C₂	semidirect
32. C₁₃×#541	C₄	semidirect
33. #11719436	C₄	semidirect
39. #11719406	C₄	semidirect
40. #11719406	C₄	semidirect
41. #11719406	C₄	semidirect
42. #11719406	C₄	semidirect
43. #11719402	C₄	semidirect
44. #11719401	C₄	semidirect
45. #11719401	C₄	semidirect
46. #11719401	C₄	semidirect
47. #11719401	C₄	semidirect
55. #11719330	C₄	semidirect
56. #11719330	C₄	semidirect
57. #11719288	C₄	semidirect
58. #11719288	C₄	semidirect
62. #11719223	C₄	semidirect
266. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
271. C₁₃×#125	C₂×C₄	semidirect
272. C₁₃×#125	C₂×C₄	semidirect
273. C₁₃×#125	C₂×C₄	semidirect
274. C₁₃×#125	C₂×C₄	semidirect
275. C₁₃×#125	C₂×C₄	semidirect
278. C₄×Q₈×C₁₃	C₂×C₄	semidirect
279. C₄×Q₈×C₁₃	C₂×C₄	semidirect
283. Q₈×Dic₁₃	C₂×C₄	semidirect
284. Q₈×Dic₁₃	C₂×C₄	semidirect
285. #88198	C₂×C₄	semidirect
286. #88198	C₂×C₄	semidirect
330. #88144	C₂×C₄	semidirect
331. #88144	C₂×C₄	semidirect
332. #88144	C₂×C₄	semidirect
333. #88144	C₂×C₄	semidirect
334. #88144	C₂×C₄	semidirect
335. #88144	C₂×C₄	semidirect
336. #88144	C₂×C₄	semidirect
337. #88144	C₂×C₄	semidirect
338. #88144	C₂×C₄	semidirect
339. #88144	C₂×C₄	semidirect
340. #88143	C₂×C₄	semidirect
341. #88143	C₂×C₄	semidirect
342. #88143	C₂×C₄	semidirect
343. #88143	C₂×C₄	semidirect
344. #88143	C₂×C₄	semidirect
345. #88143	C₂×C₄	semidirect
346. #88143	C₂×C₄	semidirect
347. #88143	C₂×C₄	semidirect
348. #88143	C₂×C₄	semidirect
349. #88143	C₂×C₄	semidirect
350. #88143	C₂×C₄	semidirect
351. #88143	C₂×C₄	semidirect
352. #88143	C₂×C₄	semidirect
353. #88143	C₂×C₄	semidirect
354. #88143	C₂×C₄	semidirect
355. #88143	C₂×C₄	semidirect
356. #88143	C₂×C₄	semidirect
357. #88143	C₂×C₄	semidirect
358. #88143	C₂×C₄	semidirect
359. #88143	C₂×C₄	semidirect
360. #88142	C₂×C₄	semidirect
361. #88142	C₂×C₄	semidirect
362. #88142	C₂×C₄	semidirect
363. #88142	C₂×C₄	semidirect
364. #88141	C₂×C₄	semidirect
365. #88141	C₂×C₄	semidirect
366. #88141	C₂×C₄	semidirect
367. #88141	C₂×C₄	semidirect
368. #88141	C₂×C₄	semidirect
369. #88141	C₂×C₄	semidirect
406. #88124	C₂×C₄	semidirect
407. #88124	C₂×C₄	semidirect
408. #88124	C₂×C₄	semidirect
409. #88124	C₂×C₄	semidirect
410. #88124	C₂×C₄	semidirect
411. #88123	C₂×C₄	semidirect
412. C₄×Dic₂₆	C₂×C₄	semidirect
413. C₄×Dic₂₆	C₂×C₄	semidirect
414. C₄×Dic₂₆	C₂×C₄	semidirect
415. C₄×Dic₂₆	C₂×C₄	semidirect
416. C₄×Dic₂₆	C₂×C₄	semidirect
417. C₄×Dic₂₆	C₂×C₄	semidirect
893. #541	#261	semidirect
1122. C₄⋊Q₈	C₂×#261	semidirect
1190. #125	C₂×#261	semidirect
1191. #125	C₂×#261	semidirect
1192. #125	C₂×#261	semidirect
1193. #125	C₂×#261	semidirect
1194. #125	C₂×#261	semidirect
1225. C₄×Q₈	C₂×#261	semidirect
1226. C₄×Q₈	C₂×#261	semidirect
1635. C₁₃	#34455	semidirect

Maximal subgroups

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

subgroup	index
#13131383	2
#13131382	2
#13131378	2
#13131373	2
#13131371	2
#13131370	2
#13131368	2
#13131356	2
#13131355	2
#13131346	2
#13131343	2
#13131336	2
#13131334	2
#13131332	2
#13131331	2
#13131330	2
#13131329	2
#13131320	2
#125×#261	2
#126×#261	2
#13131295	2
D₁₃×#541	2
#34455	13