Subgroups — #16807967

Order 3328.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1910 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, complemented
2	#13131381	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131379	C₂	1	1	yes	maximal, characteristic
4	#13131378	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131373	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131373	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131373	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131372	C₂	1	1	yes	maximal, characteristic
9	#13131368	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131356	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131356	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131355	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131353	C₂	1	1	yes	maximal, characteristic
14	#13131343	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131343	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131337	C₂	1	1	yes	maximal, characteristic
17	#13131337	C₂	1	1	yes	maximal, characteristic
18	#13131334	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131334	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131334	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131332	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131331	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131329	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131320	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131320	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131318	C₂	1	1	yes	maximal, characteristic
27	#13131314	C₂	1	1	yes	maximal, characteristic, complemented
28	#126×#261	C₂	1	1	yes	maximal, characteristic, complemented
29	#13131298	C₂	1	1	yes	maximal, characteristic, complemented
30	#13131295	C₂	1	1	yes	maximal, characteristic, complemented
31	D₁₃×#556	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#556	C₄	1	1	yes	characteristic, complemented
33	#11719437	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	#11719407	C₄	1	1	yes	characteristic, complemented
40	#11719407	C₄	1	1	yes	characteristic, complemented
41	#11719407	C₄	1	1	yes	characteristic, complemented
42	#11719407	C₄	1	1	yes	characteristic, complemented
43	D₁₃×#124	C₂²	1	1	yes	characteristic
44	D₁₃×#124	C₂²	1	1	yes	characteristic
45	#11719376	C₄	1	1	yes	characteristic, complemented
46	#11719376	C₄	1	1	yes	characteristic, complemented
47	#11719346	C₄	1	1	yes	characteristic, complemented
48	#11719346	C₄	1	1	yes	characteristic, complemented
49	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	#11719289	C₄	1	1	yes	characteristic, complemented
52	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
53	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
55	#11719273	C₄	1	1	yes	characteristic, complemented
56	#11719273	C₄	1	1	yes	characteristic, complemented
57	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
58	#11719247	C₄	1	1	yes	characteristic, complemented
59	#11719238	C₄	1	1	yes	characteristic, complemented
60	#11719238	C₄	1	1	yes	characteristic, complemented
61	D₁₃×#117	C₂²	1	1	yes	characteristic
62	D₁₃×#117	C₂²	1	1	yes	characteristic
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	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
72	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
73	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
74	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
75	#11719150	C₂²	1	1	yes	characteristic
76	#11719150	C₂²	1	1	yes	characteristic
77	#11719150	C₂²	1	1	yes	characteristic
78	#11719150	C₂²	1	1	yes	characteristic
79	#11719136	C₂²	1	1	yes	characteristic
80	#11719136	C₂²	1	1	yes	characteristic
81	#11719135	C₂²	1	1	yes	characteristic
82	#11719135	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
85	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
86	C₂×(C₂×#261)⋊C₄	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	#11719083	C₂²	1	1	yes	characteristic
94	#11719083	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	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
128	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
129	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
135	#11719071	C₂²	1	1	yes	characteristic
136	#11719071	C₂²	1	1	yes	characteristic
137	#11719071	C₂²	1	1	yes	characteristic
138	#11719071	C₂²	1	1	yes	characteristic
139	#11719071	C₂²	1	1	yes	characteristic
140	#11719071	C₂²	1	1	yes	characteristic
141	#11719071	C₂²	1	1	yes	characteristic
142	#11719071	C₂²	1	1	yes	characteristic
143	#11719071	C₂²	1	1	yes	characteristic
144	#11719071	C₂²	1	1	yes	characteristic
145	#11719071	C₂²	1	1	yes	characteristic
146	#11719071	C₂²	1	1	yes	characteristic
147	#11719071	C₂²	1	1	yes	characteristic
148	#11719071	C₂²	1	1	yes	characteristic
149	#11719071	C₂²	1	1	yes	characteristic
150	#11719071	C₂²	1	1	yes	characteristic
151	#11719071	C₂²	1	1	yes	characteristic
152	#11719071	C₂²	1	1	yes	characteristic
153	#11719071	C₂²	1	1	yes	characteristic
154	#11719071	C₂²	1	1	yes	characteristic
155	#11719070	C₂²	1	1	yes	characteristic
156	#11719070	C₂²	1	1	yes	characteristic
157	#11719070	C₂²	1	1	yes	characteristic
158	#11719070	C₂²	1	1	yes	characteristic
159	#11719070	C₂²	1	1	yes	characteristic
160	#11719070	C₂²	1	1	yes	characteristic
161	#11719070	C₂²	1	1	yes	characteristic
162	#11719070	C₂²	1	1	yes	characteristic
163	#11719070	C₂²	1	1	yes	characteristic
164	#11719070	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
175	#11719061	C₂²	1	1	yes	characteristic
176	#11719061	C₂²	1	1	yes	characteristic
177	#11719061	C₂²	1	1	yes	characteristic
178	#11719061	C₂²	1	1	yes	characteristic
179	#11719061	C₂²	1	1	yes	characteristic
180	#11719061	C₂²	1	1	yes	characteristic
181	#11719060	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	#11719059	C₂²	1	1	yes	characteristic
188	C₄×C₄⋊#261	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	C₂³×#261	C₂³	1	1	yes	characteristic
206	C₂³×#261	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊#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	C₂×C₄×#261	C₂³	1	1	yes	characteristic
267	C₂×C₄×#261	C₂³	1	1	yes	characteristic
268	C₂×C₄×#261	C₂³	1	1	yes	characteristic
269	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
270	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
271	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
272	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
273	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
274	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
275	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
276	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
277	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
278	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
279	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
280	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
281	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
282	C₁₃×#117	C₂×C₄	1	1	yes	characteristic, complemented
283	C₁₃×#117	C₂×C₄	1	1	yes	characteristic, complemented
284	#88201	C₂×C₄	1	1	yes	characteristic
285	#88201	C₂×C₄	1	1	yes	characteristic
286	#88200	C₂×C₄	1	1	yes	characteristic, complemented
287	#88200	C₂×C₄	1	1	yes	characteristic, complemented
288	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
289	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
290	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
291	#88198	C₂×C₄	1	1	yes	characteristic, complemented
292	#88198	C₂×C₄	1	1	yes	characteristic, complemented
293	#88190	C₂×C₄	1	1	yes	characteristic
294	#88190	C₂×C₄	1	1	yes	characteristic
295	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
296	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
298	#88180	C₂×C₄	1	1	yes	characteristic, complemented
299	#88180	C₂×C₄	1	1	yes	characteristic, complemented
300	#88178	C₂×C₄	1	1	yes	characteristic, complemented
301	#88178	C₂×C₄	1	1	yes	characteristic, complemented
302	#88152	C₂×C₄	1	1	yes	characteristic, complemented
303	#88152	C₂×C₄	1	1	yes	characteristic, complemented
304	#88152	C₂×C₄	1	1	yes	characteristic, complemented
305	#88152	C₂×C₄	1	1	yes	characteristic, complemented
306	#88152	C₂×C₄	1	1	yes	characteristic, complemented
307	#88152	C₂×C₄	1	1	yes	characteristic, complemented
308	#88152	C₂×C₄	1	1	yes	characteristic, complemented
309	#88152	C₂×C₄	1	1	yes	characteristic, complemented
310	#88152	C₂×C₄	1	1	yes	characteristic, complemented
311	#88152	C₂×C₄	1	1	yes	characteristic, complemented
312	#88152	C₂×C₄	1	1	yes	characteristic, complemented
313	#88152	C₂×C₄	1	1	yes	characteristic, complemented
314	#88151	C₂×C₄	1	1	yes	characteristic, complemented
315	#88151	C₂×C₄	1	1	yes	characteristic, complemented
316	#88150	C₂×C₄	1	1	yes	characteristic, complemented
317	#88150	C₂×C₄	1	1	yes	characteristic, complemented
318	#88150	C₂×C₄	1	1	yes	characteristic, complemented
319	#88150	C₂×C₄	1	1	yes	characteristic, complemented
320	#88147	C₂×C₄	1	1	yes	characteristic
321	#88146	C₂×C₄	1	1	yes	characteristic, complemented
322	#88146	C₂×C₄	1	1	yes	characteristic, complemented
323	#88146	C₂×C₄	1	1	yes	characteristic, complemented
324	#88146	C₂×C₄	1	1	yes	characteristic, complemented
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	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	#88142	C₂×C₄	1	1	yes	characteristic, complemented
338	#88142	C₂×C₄	1	1	yes	characteristic, complemented
339	#88142	C₂×C₄	1	1	yes	characteristic, complemented
340	#88142	C₂×C₄	1	1	yes	characteristic, complemented
341	#88141	C₂×C₄	1	1	yes	characteristic, complemented
342	#88141	C₂×C₄	1	1	yes	characteristic, complemented
343	#88141	C₂×C₄	1	1	yes	characteristic, complemented
344	#88141	C₂×C₄	1	1	yes	characteristic, complemented
345	#88141	C₂×C₄	1	1	yes	characteristic, complemented
346	#88141	C₂×C₄	1	1	yes	characteristic, complemented
347	#88141	C₂×C₄	1	1	yes	characteristic, complemented
348	#88141	C₂×C₄	1	1	yes	characteristic, complemented
349	#88141	C₂×C₄	1	1	yes	characteristic, complemented
350	#88139	C₂×C₄	1	1	yes	characteristic
351	#88139	C₂×C₄	1	1	yes	characteristic
352	#88139	C₂×C₄	1	1	yes	characteristic
353	#88139	C₂×C₄	1	1	yes	characteristic
354	#88139	C₂×C₄	1	1	yes	characteristic
355	#88139	C₂×C₄	1	1	yes	characteristic
356	#88139	C₂×C₄	1	1	yes	characteristic
357	#88139	C₂×C₄	1	1	yes	characteristic
358	#88135	C₂×C₄	1	1	yes	characteristic
359	#88135	C₂×C₄	1	1	yes	characteristic
360	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
361	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
362	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
363	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	#88133	C₂×C₄	1	1	yes	characteristic, complemented
371	#88133	C₂×C₄	1	1	yes	characteristic, complemented
372	#88133	C₂×C₄	1	1	yes	characteristic, complemented
373	#88133	C₂×C₄	1	1	yes	characteristic, complemented
374	#88133	C₂×C₄	1	1	yes	characteristic, complemented
375	#88133	C₂×C₄	1	1	yes	characteristic, complemented
376	#88133	C₂×C₄	1	1	yes	characteristic, complemented
377	#88133	C₂×C₄	1	1	yes	characteristic, complemented
378	#88133	C₂×C₄	1	1	yes	characteristic, complemented
379	#88133	C₂×C₄	1	1	yes	characteristic, complemented
380	#88133	C₂×C₄	1	1	yes	characteristic, complemented
381	#88133	C₂×C₄	1	1	yes	characteristic, complemented
382	#88132	C₂×C₄	1	1	yes	characteristic, complemented
383	#88132	C₂×C₄	1	1	yes	characteristic, complemented
384	#88132	C₂×C₄	1	1	yes	characteristic, complemented
385	#88132	C₂×C₄	1	1	yes	characteristic, complemented
386	#88131	C₂×C₄	1	1	yes	characteristic, complemented
387	#88131	C₂×C₄	1	1	yes	characteristic, complemented
388	#88131	C₂×C₄	1	1	yes	characteristic, complemented
389	#88131	C₂×C₄	1	1	yes	characteristic, complemented
390	#88130	C₂×C₄	1	1	yes	characteristic, complemented
391	#88130	C₂×C₄	1	1	yes	characteristic, complemented
392	#88130	C₂×C₄	1	1	yes	characteristic, complemented
393	#88130	C₂×C₄	1	1	yes	characteristic, complemented
394	#88129	C₂×C₄	1	1	yes	characteristic
395	#88129	C₂×C₄	1	1	yes	characteristic
396	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
397	#88126	C₂×C₄	1	1	yes	characteristic, complemented
398	#88126	C₂×C₄	1	1	yes	characteristic, complemented
399	#88126	C₂×C₄	1	1	yes	characteristic, complemented
400	#88126	C₂×C₄	1	1	yes	characteristic, complemented
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	C₄²×D₁₃	C₂³	1	1	yes	characteristic
407	C₄²×D₁₃	C₂³	1	1	yes	characteristic
408	#88123	C₂×C₄	1	1	yes	characteristic, complemented
409	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
410	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic, complemented
411	C₄×Dic₂₆	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	#34505	—	13	1	no	maximal, Sylow
479	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
480	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
481	C₂²×#261	—	2	2	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	—	4	1	no	—
487	C₂²×#261	—	4	1	no	—
488	C₂²×#261	—	4	1	no	—
489	C₂²×#261	—	4	1	no	—
490	C₂²×#261	—	4	1	no	—
491	C₂²×#261	—	4	1	no	—
492	C₂²×#261	—	4	1	no	—
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	C₂²×#261	C₂⁴	1	1	yes	characteristic
503	C₂²×#261	C₂⁴	1	1	yes	characteristic
504	C₂²×#261	C₂⁴	1	1	yes	characteristic
505	C₂²×#261	C₂⁴	1	1	yes	characteristic
506	C₂²×#261	C₂⁴	1	1	yes	characteristic
507	C₂²×#261	C₂⁴	1	1	yes	characteristic
508	C₂²×#261	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
519	Q₈×D₁₃	—	4	1	no	—
520	Q₈×D₁₃	—	4	1	no	—
521	Q₈×D₁₃	—	4	1	no	—
522	Q₈×D₁₃	—	4	1	no	—
523	Q₈×D₁₃	—	4	1	no	—
524	Q₈×D₁₃	—	4	1	no	—
525	D₄×D₁₃	—	4	1	no	—
526	D₄×D₁₃	—	4	1	no	—
527	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₁₃	—	4	1	no	—
529	C₂×C₄×D₁₃	—	4	1	no	—
530	C₂×C₄×D₁₃	—	4	1	no	—
531	C₂×C₄×D₁₃	—	4	1	no	—
532	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
550	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
551	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
552	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
553	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
555	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
556	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
557	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
558	C₂²⋊#261	—	2	2	no	—
559	C₂²⋊#261	—	4	1	no	—
560	C₂²⋊#261	—	4	1	no	—
561	C₂²⋊#261	—	4	1	no	—
562	C₂²⋊#261	—	4	1	no	—
563	C₂²⋊#261	—	4	1	no	—
564	C₂²⋊#261	—	4	1	no	—
565	C₂²⋊#261	—	4	1	no	—
566	C₂²⋊#261	—	4	1	no	—
567	C₂²⋊#261	—	4	1	no	—
568	C₂²⋊#261	—	4	1	no	—
569	C₂²⋊#261	—	4	1	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	C₄×#261	—	2	2	no	—
593	C₄×#261	—	2	2	no	—
594	C₄×#261	—	4	1	no	—
595	C₄×#261	—	4	1	no	—
596	C₄×#261	—	4	1	no	—
597	C₄×#261	—	4	1	no	—
598	C₄×#261	—	4	1	no	—
599	C₄×#261	—	4	1	no	—
600	C₄×#261	—	4	1	no	—
601	C₄×#261	—	4	1	no	—
602	C₄×#261	—	4	1	no	—
603	C₄×#261	—	4	1	no	—
604	C₄×#261	—	4	1	no	—
605	C₄×#261	—	4	1	no	—
606	C₄×#261	—	4	1	no	—
607	C₄×#261	—	4	1	no	—
608	C₄×#261	—	4	1	no	—
609	C₄×#261	—	4	1	no	—
610	C₄×#261	—	4	1	no	—
611	C₄×#261	—	4	1	no	—
612	C₄×#261	—	4	1	no	—
613	C₄×#261	—	4	1	no	—
614	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
637	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
638	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
639	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
640	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
641	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
642	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
653	#6103	C₂²×C₄	1	1	yes	characteristic
654	#6103	C₂²×C₄	1	1	yes	characteristic
655	#6103	C₂²×C₄	1	1	yes	characteristic
656	#6103	C₂²×C₄	1	1	yes	characteristic
657	#6103	C₂²×C₄	1	1	yes	characteristic
658	#6103	C₂²×C₄	1	1	yes	characteristic
659	#6103	C₂²×C₄	1	1	yes	characteristic
660	#6103	C₂²×C₄	1	1	yes	characteristic
661	#6103	C₂²×C₄	1	1	yes	characteristic
662	#6103	C₂²×C₄	1	1	yes	characteristic
663	#6103	C₂²×C₄	1	1	yes	characteristic
664	#6103	C₂²×C₄	1	1	yes	characteristic
665	#6103	C₂²×C₄	1	1	yes	characteristic
666	#6103	C₂²×C₄	1	1	yes	characteristic
667	#6103	C₂²×C₄	1	1	yes	characteristic
668	#6103	C₂²×C₄	1	1	yes	characteristic
669	#6103	C₂²×C₄	1	1	yes	characteristic
670	#6103	C₂²×C₄	1	1	yes	characteristic
671	#6103	C₂²×C₄	1	1	yes	characteristic
672	#6103	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊Dic₁₃	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	#6101	C₂²×C₄	1	1	yes	characteristic
703	#6101	C₂²×C₄	1	1	yes	characteristic
704	#6101	C₂²×C₄	1	1	yes	characteristic
705	#6101	C₂²×C₄	1	1	yes	characteristic
706	#6101	C₂²×C₄	1	1	yes	characteristic
707	#6101	C₂²×C₄	1	1	yes	characteristic
708	#6101	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	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
722	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
723	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
725	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
726	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
727	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
728	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
729	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
730	C₂×#556	—	13	1	no	—
731	#2383	—	13	1	no	—
732	#2381	—	13	1	no	—
733	#2379	—	13	1	no	—
734	#2378	—	13	1	no	—
735	#2373	—	13	1	no	—
736	#2373	—	13	1	no	—
737	#2373	—	13	1	no	—
738	#2372	—	13	1	no	—
739	#2368	—	13	1	no	—
740	#2356	—	13	1	no	—
741	#2356	—	13	1	no	—
742	#2355	—	13	1	no	—
743	#2353	—	13	1	no	—
744	#2343	—	13	1	no	—
745	#2343	—	13	1	no	—
746	#2337	—	13	1	no	—
747	#2337	—	13	1	no	—
748	#2334	—	13	1	no	—
749	#2334	—	13	1	no	—
750	#2334	—	13	1	no	—
751	#2332	—	13	1	no	—
752	#2331	—	13	1	no	—
753	#2329	—	13	1	no	—
754	#2320	—	13	1	no	—
755	#2320	—	13	1	no	—
756	#2318	—	13	1	no	—
757	#2314	—	13	1	no	—
758	C₄×#126	—	13	1	no	—
759	#2298	—	13	1	no	—
760	#2295	—	13	1	no	—
761	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
762	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
763	C₂²×D₁₃	—	2	1	no	—
764	C₂²×D₁₃	—	2	1	no	—
765	C₂²×D₁₃	—	2	1	no	—
766	C₂²×D₁₃	—	2	1	no	—
767	C₂²×D₁₃	—	2	1	no	—
768	C₂²×D₁₃	—	2	1	no	—
769	C₂²×D₁₃	—	2	1	no	—
770	C₂²×D₁₃	—	2	1	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	2	1	no	—
773	C₂²×D₁₃	—	2	1	no	—
774	C₂²×D₁₃	—	2	1	no	—
775	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
776	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
777	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
807	C₂×#261	—	2	1	no	—
808	C₂×#261	—	2	1	no	—
809	C₂×#261	—	2	1	no	—
810	C₂×#261	—	2	1	no	—
811	C₂×#261	—	2	1	no	—
812	C₂×#261	—	2	1	no	—
813	C₂×#261	—	2	1	no	—
814	C₂×#261	—	2	1	no	—
815	C₂×#261	—	2	1	no	—
816	C₂×#261	—	2	1	no	—
817	C₂×#261	—	2	1	no	—
818	C₂×#261	—	2	1	no	—
819	C₂×#261	—	2	1	no	—
820	C₂×#261	—	2	1	no	—
821	C₂×#261	—	2	1	no	—
822	C₂×#261	—	2	1	no	—
823	C₂×#261	—	2	1	no	—
824	C₂×#261	—	2	1	no	—
825	C₂×#261	—	8	2	no	—
826	C₂×#261	—	8	2	no	—
827	C₂×#261	—	8	2	no	—
828	C₂×#261	—	8	2	no	—
829	C₂×#261	2₋¹⁺⁴	1	2	yes	—
830	Q₈×C₁₃	—	4	1	no	—
831	Q₈×C₁₃	—	4	1	no	—
832	Q₈×C₁₃	—	4	1	no	—
833	D₄×C₁₃	—	4	1	no	—
834	C₂×C₄×C₁₃	—	4	1	no	—
835	C₂×C₄×C₁₃	—	4	1	no	—
836	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
839	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
842	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
843	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
849	C₂²⋊D₁₃	—	4	1	no	—
850	C₂²⋊D₁₃	—	4	1	no	—
851	C₂×Dic₁₃	—	4	1	no	—
852	C₂×Dic₁₃	—	4	1	no	—
853	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
854	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
855	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
856	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
861	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
866	D₅₂	—	4	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	2	1	no	—
871	C₄×D₁₃	—	2	1	no	—
872	C₄×D₁₃	—	2	1	no	—
873	C₄×D₁₃	—	2	1	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	1	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	2	1	no	—
881	C₄×D₁₃	—	2	1	no	—
882	C₄×D₁₃	—	2	1	no	—
883	C₄×D₁₃	—	2	1	no	—
884	C₄×D₁₃	—	2	1	no	—
885	C₄×D₁₃	—	2	1	no	—
886	C₄×D₁₃	—	2	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	2	1	no	—
891	C₄×D₁₃	—	2	1	no	—
892	C₄×D₁₃	—	2	1	no	—
893	C₄×D₁₃	—	4	1	no	—
894	C₄×D₁₃	—	4	1	no	—
895	C₄×D₁₃	—	4	1	no	—
896	C₄×D₁₃	—	4	1	no	—
897	Dic₂₆	—	4	1	no	—
898	Dic₂₆	—	4	1	no	—
899	Dic₂₆	—	4	1	no	—
900	Dic₂₆	—	4	1	no	—
901	Dic₂₆	—	4	1	no	—
902	Dic₂₆	—	4	1	no	—
903	Dic₂₆	—	4	1	no	—
904	Dic₂₆	—	4	1	no	—
905	Dic₂₆	—	4	1	no	—
906	#556	—	13	1	no	—
907	#556	—	13	1	no	—
908	#556	—	13	1	no	—
909	#556	—	13	1	no	—
910	#556	—	13	1	no	—
911	#556	—	13	1	no	—
912	#556	—	13	1	no	—
913	#556	—	13	1	no	—
914	#556	—	13	1	no	—
915	#556	—	13	1	no	—
916	#556	—	13	1	no	—
917	#556	—	13	1	no	—
918	#556	—	13	1	no	—
919	#556	—	13	1	no	—
920	#556	—	13	1	no	—
921	#556	#261	1	1	yes	characteristic, complemented
922	C₂×C₄⋊Q₈	—	13	1	no	—
923	C₂×#126	—	13	1	no	—
924	C₂×#126	—	13	1	no	—
925	C₂×#126	—	13	1	no	—
926	C₂×#126	—	13	1	no	—
927	C₂×#124	—	13	1	no	—
928	C₂×#124	—	13	1	no	—
929	C₂×C₂²⋊Q₈	—	13	1	no	—
930	C₂×C₂²⋊Q₈	—	13	1	no	—
931	C₂×C₄×Q₈	—	13	1	no	—
932	C₂×C₄×Q₈	—	13	1	no	—
933	C₂×C₄×Q₈	—	13	1	no	—
934	C₂×C₄×D₄	—	13	1	no	—
935	C₂×#117	—	13	1	no	—
936	C₂×#117	—	13	1	no	—
937	#391	—	13	1	no	—
938	#391	—	13	1	no	—
939	#391	—	13	1	no	—
940	#391	—	13	1	no	—
941	#391	—	13	1	no	—
942	#391	—	13	1	no	—
943	#391	—	13	1	no	—
944	#391	—	13	1	no	—
945	#391	—	13	1	no	—
946	#391	—	13	1	no	—
947	#391	—	13	1	no	—
948	#391	—	13	1	no	—
949	#389	—	13	1	no	—
950	#389	—	13	1	no	—
951	#389	—	13	1	no	—
952	#389	—	13	1	no	—
953	#389	—	13	1	no	—
954	#389	—	13	1	no	—
955	#389	—	13	1	no	—
956	#389	—	13	1	no	—
957	#388	—	13	1	no	—
958	#388	—	13	1	no	—
959	#388	—	13	1	no	—
960	#388	—	13	1	no	—
961	#388	—	13	1	no	—
962	#388	—	13	1	no	—
963	#388	—	13	1	no	—
964	#388	—	13	1	no	—
965	#388	—	13	1	no	—
966	#388	—	13	1	no	—
967	#388	—	13	1	no	—
968	#388	—	13	1	no	—
969	#388	—	13	1	no	—
970	#388	—	13	1	no	—
971	#388	—	13	1	no	—
972	#388	—	13	1	no	—
973	#388	—	13	1	no	—
974	#388	—	13	1	no	—
975	#388	—	13	1	no	—
976	#388	—	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	#387	—	13	1	no	—
992	#387	—	13	1	no	—
993	#387	—	13	1	no	—
994	#387	—	13	1	no	—
995	#387	—	13	1	no	—
996	#387	—	13	1	no	—
997	#387	—	13	1	no	—
998	#387	—	13	1	no	—
999	#387	—	13	1	no	—
1000	#387	—	13	1	no	—
1001	#387	—	13	1	no	—
1002	#387	—	13	1	no	—
1003	#387	—	13	1	no	—
1004	#387	—	13	1	no	—
1005	#387	—	13	1	no	—
1006	#387	—	13	1	no	—
1007	#387	—	13	1	no	—
1008	#387	—	13	1	no	—
1009	#386	—	13	1	no	—
1010	#386	—	13	1	no	—
1011	#386	—	13	1	no	—
1012	#386	—	13	1	no	—
1013	#385	—	13	1	no	—
1014	#385	—	13	1	no	—
1015	#385	—	13	1	no	—
1016	#385	—	13	1	no	—
1017	#385	—	13	1	no	—
1018	#385	—	13	1	no	—
1019	#385	—	13	1	no	—
1020	#385	—	13	1	no	—
1021	#385	—	13	1	no	—
1022	#385	—	13	1	no	—
1023	#384	—	13	1	no	—
1024	#383	—	13	1	no	—
1025	#383	—	13	1	no	—
1026	#383	—	13	1	no	—
1027	#383	—	13	1	no	—
1028	#383	—	13	1	no	—
1029	#383	—	13	1	no	—
1030	#382	—	13	1	no	—
1031	#382	—	13	1	no	—
1032	#382	—	13	1	no	—
1033	#382	—	13	1	no	—
1034	#382	—	13	1	no	—
1035	#382	—	13	1	no	—
1036	#381	—	13	1	no	—
1037	#381	—	13	1	no	—
1038	#380	—	13	1	no	—
1039	#380	—	13	1	no	—
1040	C₄×C₄⋊C₄	—	13	1	no	—
1041	C₄×C₄⋊C₄	—	13	1	no	—
1042	C₄×C₄⋊C₄	—	13	1	no	—
1043	C₄×C₄⋊C₄	—	13	1	no	—
1044	C₄×C₄⋊C₄	—	13	1	no	—
1045	C₄×C₄⋊C₄	—	13	1	no	—
1046	C₄×C₄⋊C₄	—	13	1	no	—
1047	C₄×C₄⋊C₄	—	13	1	no	—
1048	C₄×C₄⋊C₄	—	13	1	no	—
1049	C₄×C₄⋊C₄	—	13	1	no	—
1050	C₄×C₄⋊C₄	—	13	1	no	—
1051	C₄×C₄⋊C₄	—	13	1	no	—
1052	C₄×C₄⋊C₄	—	13	1	no	—
1053	C₄×C₄⋊C₄	—	13	1	no	—
1054	C₄×C₄⋊C₄	—	13	1	no	—
1055	C₄×C₄⋊C₄	—	13	1	no	—
1056	C₄×C₂²⋊C₄	—	13	1	no	—
1057	C₄×C₂²⋊C₄	—	13	1	no	—
1058	C₄×C₂²⋊C₄	—	13	1	no	—
1059	C₄×C₂²⋊C₄	—	13	1	no	—
1060	C₄×C₂²⋊C₄	—	13	1	no	—
1061	C₄×C₂²⋊C₄	—	13	1	no	—
1062	C₄×C₂²⋊C₄	—	13	1	no	—
1063	C₄×C₂²⋊C₄	—	13	1	no	—
1064	C₄×C₂²⋊C₄	—	13	1	no	—
1065	C₄×C₂²⋊C₄	—	13	1	no	—
1066	C₄×C₂²⋊C₄	—	13	1	no	—
1067	C₄×C₂²⋊C₄	—	13	1	no	—
1068	#376	—	13	1	no	—
1069	#376	—	13	1	no	—
1070	#376	—	13	1	no	—
1071	#376	—	13	1	no	—
1072	#376	—	13	1	no	—
1073	#376	—	13	1	no	—
1074	C₂×#95	—	13	1	no	—
1075	C₂×#95	—	13	1	no	—
1076	C₄³	—	13	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1084	C₂×D₁₃	—	2	1	no	—
1085	C₂×D₁₃	—	2	1	no	—
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	2	1	no	—
1088	C₂×D₁₃	—	2	1	no	—
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1099	C₂×D₁₃	#585	1	1	yes	characteristic
1100	C₂×D₁₃	#585	1	1	yes	characteristic
1101	C₂×D₁₃	#585	1	1	yes	characteristic
1102	C₂×D₁₃	#585	1	1	yes	characteristic
1103	C₂×D₁₃	#585	1	1	yes	characteristic
1104	#261	—	2	2	no	—
1105	#261	—	4	1	no	—
1106	#261	—	4	1	no	—
1107	#261	—	4	1	no	—
1108	#261	—	4	1	no	—
1109	#261	—	4	1	no	—
1110	#261	—	4	1	no	—
1111	#261	—	4	1	no	—
1112	#261	—	4	1	no	—
1113	#261	—	4	1	no	—
1114	#261	—	4	1	no	—
1115	#261	—	4	1	no	—
1116	#261	—	4	1	no	—
1117	#261	—	4	1	no	—
1118	#261	—	4	1	no	—
1119	#261	—	4	1	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	2	1	no	—
1122	C₄×C₁₃	—	2	1	no	—
1123	C₄×C₁₃	—	2	1	no	—
1124	C₄×C₁₃	—	2	1	no	—
1125	C₄×C₁₃	—	2	1	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	2	1	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	2	1	no	—
1131	C₄×C₁₃	—	2	1	no	—
1132	C₄×C₁₃	—	2	1	no	—
1133	Dic₁₃	—	2	1	no	—
1134	Dic₁₃	—	2	1	no	—
1135	Dic₁₃	—	2	1	no	—
1136	Dic₁₃	—	2	1	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	2	1	no	—
1139	Dic₁₃	—	2	1	no	—
1140	Dic₁₃	—	2	1	no	—
1141	Dic₁₃	—	2	1	no	—
1142	Dic₁₃	—	2	1	no	—
1143	Dic₁₃	—	2	1	no	—
1144	Dic₁₃	—	2	1	no	—
1145	Dic₁₃	—	2	1	no	—
1146	C₂²×Q₈	—	13	1	no	—
1147	C₂²×Q₈	—	13	1	no	—
1148	C₂²×Q₈	—	13	1	no	—
1149	C₂²×D₄	—	13	1	no	—
1150	C₂³×C₄	—	13	1	no	—
1151	C₂³×C₄	—	13	1	no	—
1152	C₂³×C₄	—	13	1	no	—
1153	C₂³×C₄	—	13	1	no	—
1154	C₂³×C₄	—	13	1	no	—
1155	C₂³×C₄	—	13	1	no	—
1156	C₄⋊Q₈	—	13	1	no	—
1157	C₄⋊Q₈	—	13	1	no	—
1158	C₄⋊Q₈	—	13	1	no	—
1159	C₄⋊Q₈	—	13	1	no	—
1160	C₄⋊Q₈	—	13	1	no	—
1161	C₄⋊Q₈	—	13	1	no	—
1162	C₄⋊Q₈	—	13	1	no	—
1163	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1164	#126	—	13	1	no	—
1165	#126	—	13	1	no	—
1166	#126	—	13	1	no	—
1167	#126	—	13	1	no	—
1168	#126	—	13	1	no	—
1169	#126	—	13	1	no	—
1170	#126	—	13	1	no	—
1171	#126	—	13	1	no	—
1172	#126	—	13	1	no	—
1173	#126	—	13	1	no	—
1174	#126	—	13	1	no	—
1175	#126	—	13	1	no	—
1176	#126	—	13	1	no	—
1177	#126	—	13	1	no	—
1178	#126	—	13	1	no	—
1179	#126	—	13	1	no	—
1180	#126	—	13	1	no	—
1181	#126	—	13	1	no	—
1182	#126	—	13	1	no	—
1183	#126	—	13	1	no	—
1184	#126	—	13	1	no	—
1185	#126	—	13	1	no	—
1186	#126	—	13	1	no	—
1187	#126	—	13	1	no	—
1188	#126	—	13	1	no	—
1189	#126	—	13	1	no	—
1190	#126	—	13	1	no	—
1191	#126	—	13	1	no	—
1192	#126	C₂×#261	1	1	yes	characteristic, complemented
1193	#126	C₂×#261	1	1	yes	characteristic, complemented
1194	#126	C₂×#261	1	1	yes	characteristic, complemented
1195	#126	C₂×#261	1	1	yes	characteristic, complemented
1196	#124	—	13	1	no	—
1197	#124	—	13	1	no	—
1198	#124	—	13	1	no	—
1199	#124	—	13	1	no	—
1200	#124	—	13	1	no	—
1201	#124	—	13	1	no	—
1202	#124	—	13	1	no	—
1203	#124	—	13	1	no	—
1204	#124	—	13	1	no	—
1205	#124	—	13	1	no	—
1206	#124	—	13	1	no	—
1207	#124	—	13	1	no	—
1208	#124	—	13	1	no	—
1209	#124	—	13	1	no	—
1210	#124	C₂×#261	1	1	yes	characteristic
1211	#124	C₂×#261	1	1	yes	characteristic
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	13	1	no	—
1215	C₂²⋊Q₈	—	13	1	no	—
1216	C₂²⋊Q₈	—	13	1	no	—
1217	C₂²⋊Q₈	—	13	1	no	—
1218	C₂²⋊Q₈	—	13	1	no	—
1219	C₂²⋊Q₈	—	13	1	no	—
1220	C₂²⋊Q₈	—	13	1	no	—
1221	C₂²⋊Q₈	—	13	1	no	—
1222	C₂²⋊Q₈	—	13	1	no	—
1223	C₂²⋊Q₈	—	13	1	no	—
1224	C₂²⋊Q₈	—	13	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1227	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1228	C₄×Q₈	—	13	1	no	—
1229	C₄×Q₈	—	13	1	no	—
1230	C₄×Q₈	—	13	1	no	—
1231	C₄×Q₈	—	13	1	no	—
1232	C₄×Q₈	—	13	1	no	—
1233	C₄×Q₈	—	13	1	no	—
1234	C₄×Q₈	—	13	1	no	—
1235	C₄×Q₈	—	13	1	no	—
1236	C₄×Q₈	—	13	1	no	—
1237	C₄×Q₈	—	13	1	no	—
1238	C₄×Q₈	—	13	1	no	—
1239	C₄×Q₈	—	13	1	no	—
1240	C₄×Q₈	—	13	1	no	—
1241	C₄×Q₈	—	13	1	no	—
1242	C₄×Q₈	—	13	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×Q₈	—	13	1	no	—
1246	C₄×Q₈	—	13	1	no	—
1247	C₄×Q₈	—	13	1	no	—
1248	C₄×Q₈	—	13	1	no	—
1249	C₄×Q₈	C₂×#261	1	1	yes	characteristic, complemented
1250	C₄×Q₈	C₂×#261	1	1	yes	characteristic, complemented
1251	C₄×Q₈	C₂×#261	1	1	yes	characteristic, complemented
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	C₂×#261	1	1	yes	characteristic
1260	#117	—	13	1	no	—
1261	#117	—	13	1	no	—
1262	#117	—	13	1	no	—
1263	#117	—	13	1	no	—
1264	#117	—	13	1	no	—
1265	#117	—	13	1	no	—
1266	#117	—	13	1	no	—
1267	#117	—	13	1	no	—
1268	#117	—	13	1	no	—
1269	#117	—	13	1	no	—
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	13	1	no	—
1274	#117	C₂×#261	1	1	yes	characteristic, complemented
1275	#117	C₂×#261	1	1	yes	characteristic, complemented
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×C₄⋊C₄	—	13	1	no	—
1282	C₂×C₄⋊C₄	—	13	1	no	—
1283	C₂×C₄⋊C₄	—	13	1	no	—
1284	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	13	1	no	—
1291	C₂×C₄⋊C₄	—	13	1	no	—
1292	C₂×C₄⋊C₄	—	13	1	no	—
1293	C₂×C₄⋊C₄	—	13	1	no	—
1294	C₂×C₄⋊C₄	—	13	1	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	13	1	no	—
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	13	1	no	—
1302	C₂×C₄⋊C₄	—	13	1	no	—
1303	C₂×C₄⋊C₄	—	13	1	no	—
1304	C₂×C₄⋊C₄	—	13	1	no	—
1305	C₂×C₄⋊C₄	—	13	1	no	—
1306	C₂×C₄⋊C₄	—	13	1	no	—
1307	C₂×C₄⋊C₄	—	13	1	no	—
1308	C₂×C₄⋊C₄	—	13	1	no	—
1309	C₂×C₄⋊C₄	—	13	1	no	—
1310	C₂×C₂²⋊C₄	—	13	1	no	—
1311	C₂×C₂²⋊C₄	—	13	1	no	—
1312	C₂×C₂²⋊C₄	—	13	1	no	—
1313	C₂×C₂²⋊C₄	—	13	1	no	—
1314	C₂×C₂²⋊C₄	—	13	1	no	—
1315	C₂×C₂²⋊C₄	—	13	1	no	—
1316	C₂×C₂²⋊C₄	—	13	1	no	—
1317	C₂×C₂²⋊C₄	—	13	1	no	—
1318	C₂×C₂²⋊C₄	—	13	1	no	—
1319	C₂×C₂²⋊C₄	—	13	1	no	—
1320	C₂×C₂²⋊C₄	—	13	1	no	—
1321	C₂×C₂²⋊C₄	—	13	1	no	—
1322	C₂×C₂²⋊C₄	—	13	1	no	—
1323	C₂×C₂²⋊C₄	—	13	1	no	—
1324	C₂×C₂²⋊C₄	—	13	1	no	—
1325	C₂×C₂²⋊C₄	—	13	1	no	—
1326	C₂×C₂²⋊C₄	—	13	1	no	—
1327	C₂×C₂²⋊C₄	—	13	1	no	—
1328	C₂×C₂²⋊C₄	—	13	1	no	—
1329	C₂×C₂²⋊C₄	—	13	1	no	—
1330	C₂×C₂²⋊C₄	—	13	1	no	—
1331	C₂×C₂²⋊C₄	—	13	1	no	—
1332	C₂×C₄²	—	13	1	no	—
1333	C₂×C₄²	—	13	1	no	—
1334	C₂×C₄²	—	13	1	no	—
1335	C₂×C₄²	—	13	1	no	—
1336	C₂×C₄²	—	13	1	no	—
1337	C₂×C₄²	—	13	1	no	—
1338	C₂×C₄²	—	13	1	no	—
1339	C₂×C₄²	—	13	1	no	—
1340	C₂×C₄²	—	13	1	no	—
1341	C₂×C₄²	—	13	1	no	—
1342	C₂×C₄²	—	13	1	no	—
1343	C₂×C₄²	—	13	1	no	—
1344	C₂×C₄²	—	13	1	no	—
1345	C₂×C₄²	—	13	1	no	—
1346	C₂×C₄²	—	13	1	no	—
1347	C₂×C₄²	—	13	1	no	—
1348	C₂×C₄²	—	13	1	no	—
1349	C₂×C₄²	—	13	1	no	—
1350	C₂×C₄²	—	13	1	no	—
1351	C₂×C₄²	—	13	1	no	—
1352	C₂×C₄²	—	13	1	no	—
1353	C₂×C₄²	—	13	1	no	—
1354	C₂×C₄²	—	13	1	no	—
1355	C₂×C₄²	—	13	1	no	—
1356	C₂×C₄²	—	13	1	no	—
1357	C₂×C₄²	—	13	1	no	—
1358	C₂×C₄²	—	13	1	no	—
1359	C₂×C₄²	—	13	1	no	—
1360	C₂×C₄²	—	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	#95	—	13	1	no	—
1386	#95	—	13	1	no	—
1387	#95	—	13	1	no	—
1388	#95	—	13	1	no	—
1389	#95	—	13	1	no	—
1390	#95	—	13	1	no	—
1391	#95	—	13	1	no	—
1392	#95	—	13	1	no	—
1393	#95	—	13	1	no	—
1394	#95	—	13	1	no	—
1395	#95	—	13	1	no	—
1396	#95	—	13	1	no	—
1397	#95	—	13	1	no	—
1398	#95	—	13	1	no	—
1399	#95	—	13	1	no	—
1400	#95	—	13	1	no	—
1401	#95	—	13	1	no	—
1402	#95	—	13	1	no	—
1403	#95	—	13	1	no	—
1404	#95	—	13	1	no	—
1405	#95	—	13	1	no	—
1406	#95	—	13	1	no	—
1407	#95	—	13	1	no	—
1408	#95	—	13	1	no	—
1409	#95	—	13	1	no	—
1410	#95	—	13	1	no	—
1411	#95	—	13	1	no	—
1412	#95	—	13	1	no	—
1413	#95	—	13	1	no	—
1414	#95	—	13	1	no	—
1415	#95	—	13	1	no	—
1416	#95	—	13	1	no	—
1417	#95	—	13	1	no	—
1418	#95	—	13	1	no	—
1419	#95	—	13	1	no	—
1420	#95	—	13	1	no	—
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	#3428	1	1	yes	characteristic
1424	C₂×C₁₃	#3428	1	1	yes	characteristic
1425	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1426	D₁₃	—	4	1	no	—
1427	D₁₃	—	4	1	no	—
1428	D₁₃	#3564	1	1	yes	characteristic
1429	D₁₃	#3565	1	1	yes	characteristic
1430	D₁₃	#3566	1	1	yes	characteristic
1431	D₁₃	#3568	1	1	yes	characteristic
1432	C₂⁴	—	13	1	no	—
1433	C₂⁴	—	13	1	no	—
1434	C₂×Q₈	—	13	1	no	—
1435	C₂×Q₈	—	13	1	no	—
1436	C₂×Q₈	—	13	1	no	—
1437	C₂×Q₈	—	13	1	no	—
1438	C₂×Q₈	—	13	1	no	—
1439	C₂×Q₈	—	13	1	no	—
1440	C₂×Q₈	—	13	1	no	—
1441	C₂×Q₈	—	13	1	no	—
1442	C₂×Q₈	—	13	1	no	—
1443	C₂×Q₈	—	52	1	no	—
1444	C₂×Q₈	—	52	1	no	—
1445	C₂×Q₈	—	52	1	no	—
1446	C₂×Q₈	—	52	1	no	—
1447	C₂×Q₈	—	52	1	no	—
1448	C₂×Q₈	—	52	1	no	—
1449	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1450	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1451	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1452	C₂×D₄	—	13	1	no	—
1453	C₂×D₄	—	13	1	no	—
1454	C₂×D₄	—	13	1	no	—
1455	C₂×D₄	—	52	1	no	—
1456	C₂×D₄	—	52	1	no	—
1457	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1458	C₂²×C₄	—	13	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	13	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	13	1	no	—
1465	C₂²×C₄	—	13	1	no	—
1466	C₂²×C₄	—	13	1	no	—
1467	C₂²×C₄	—	13	1	no	—
1468	C₂²×C₄	—	13	1	no	—
1469	C₂²×C₄	—	13	1	no	—
1470	C₂²×C₄	—	13	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	13	1	no	—
1479	C₂²×C₄	—	13	1	no	—
1480	C₂²×C₄	—	13	1	no	—
1481	C₂²×C₄	—	13	1	no	—
1482	C₂²×C₄	—	13	1	no	—
1483	C₂²×C₄	—	13	1	no	—
1484	C₂²×C₄	—	13	1	no	—
1485	C₂²×C₄	—	13	1	no	—
1486	C₂²×C₄	—	13	1	no	—
1487	C₂²×C₄	—	13	1	no	—
1488	C₂²×C₄	—	13	1	no	—
1489	C₂²×C₄	—	13	1	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	26	2	no	—
1494	C₂²×C₄	—	52	1	no	—
1495	C₂²×C₄	—	52	1	no	—
1496	C₂²×C₄	—	52	1	no	—
1497	C₂²×C₄	—	52	1	no	—
1498	C₂²×C₄	—	52	1	no	—
1499	C₂²×C₄	—	52	1	no	—
1500	C₂²×C₄	—	52	1	no	—
1501	C₂²×C₄	—	52	1	no	—
1502	C₂²×C₄	—	52	1	no	—
1503	C₂²×C₄	—	52	1	no	—
1504	C₂²×C₄	—	52	1	no	—
1505	C₂²×C₄	—	52	1	no	—
1506	C₂²×C₄	—	52	1	no	—
1507	C₂²×C₄	—	52	1	no	—
1508	C₂²×C₄	—	52	1	no	—
1509	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1510	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	13	1	no	—
1513	C₄⋊C₄	—	13	1	no	—
1514	C₄⋊C₄	—	13	1	no	—
1515	C₄⋊C₄	—	13	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	1	no	—
1524	C₄⋊C₄	—	13	1	no	—
1525	C₄⋊C₄	—	13	1	no	—
1526	C₄⋊C₄	—	13	1	no	—
1527	C₄⋊C₄	—	13	1	no	—
1528	C₄⋊C₄	—	13	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	13	1	no	—
1539	C₄⋊C₄	—	13	1	no	—
1540	C₄⋊C₄	—	13	1	no	—
1541	C₄⋊C₄	—	13	1	no	—
1542	C₄⋊C₄	—	13	1	no	—
1543	C₄⋊C₄	—	13	1	no	—
1544	C₄⋊C₄	—	13	1	no	—
1545	C₄⋊C₄	—	13	1	no	—
1546	C₄⋊C₄	—	13	1	no	—
1547	C₄⋊C₄	—	26	2	no	—
1548	C₄⋊C₄	—	52	1	no	—
1549	C₄⋊C₄	—	52	1	no	—
1550	C₄⋊C₄	—	52	1	no	—
1551	C₄⋊C₄	—	52	1	no	—
1552	C₄⋊C₄	—	52	1	no	—
1553	C₄⋊C₄	—	52	1	no	—
1554	C₄⋊C₄	—	52	1	no	—
1555	C₄⋊C₄	—	52	1	no	—
1556	C₄⋊C₄	—	52	1	no	—
1557	C₄⋊C₄	—	52	1	no	—
1558	C₄⋊C₄	—	52	1	no	—
1559	C₄⋊C₄	—	52	1	no	—
1560	C₄⋊C₄	—	52	1	no	—
1561	C₄⋊C₄	—	52	1	no	—
1562	C₄⋊C₄	—	52	1	no	—
1563	C₄⋊C₄	—	52	1	no	—
1564	C₄⋊C₄	—	52	1	no	—
1565	C₄⋊C₄	—	52	1	no	—
1566	C₄⋊C₄	—	52	1	no	—
1567	C₄⋊C₄	—	52	1	no	—
1568	C₄⋊C₄	—	52	1	no	—
1569	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1570	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1571	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1572	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1573	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1574	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1575	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1576	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1577	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1578	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1579	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1580	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1581	C₂²⋊C₄	—	13	1	no	—
1582	C₂²⋊C₄	—	13	1	no	—
1583	C₂²⋊C₄	—	13	1	no	—
1584	C₂²⋊C₄	—	13	1	no	—
1585	C₂²⋊C₄	—	13	1	no	—
1586	C₂²⋊C₄	—	13	1	no	—
1587	C₂²⋊C₄	—	13	1	no	—
1588	C₂²⋊C₄	—	13	1	no	—
1589	C₂²⋊C₄	—	13	1	no	—
1590	C₂²⋊C₄	—	13	1	no	—
1591	C₂²⋊C₄	—	13	1	no	—
1592	C₂²⋊C₄	—	13	1	no	—
1593	C₂²⋊C₄	—	13	1	no	—
1594	C₂²⋊C₄	—	13	1	no	—
1595	C₂²⋊C₄	—	13	1	no	—
1596	C₂²⋊C₄	—	13	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	13	1	no	—
1604	C₂²⋊C₄	—	13	1	no	—
1605	C₂²⋊C₄	—	13	1	no	—
1606	C₂²⋊C₄	—	13	1	no	—
1607	C₂²⋊C₄	—	13	1	no	—
1608	C₂²⋊C₄	—	13	1	no	—
1609	C₂²⋊C₄	—	13	1	no	—
1610	C₂²⋊C₄	—	13	1	no	—
1611	C₂²⋊C₄	—	26	2	no	—
1612	C₂²⋊C₄	—	52	1	no	—
1613	C₂²⋊C₄	—	52	1	no	—
1614	C₂²⋊C₄	—	52	1	no	—
1615	C₂²⋊C₄	—	52	1	no	—
1616	C₂²⋊C₄	—	52	1	no	—
1617	C₂²⋊C₄	—	52	1	no	—
1618	C₂²⋊C₄	—	52	1	no	—
1619	C₂²⋊C₄	—	52	1	no	—
1620	C₂²⋊C₄	—	52	1	no	—
1621	C₂²⋊C₄	—	52	1	no	—
1622	C₂²⋊C₄	—	52	1	no	—
1623	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1628	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1630	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1631	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1632	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1633	C₄²	—	13	1	no	—
1634	C₄²	—	13	1	no	—
1635	C₄²	—	13	1	no	—
1636	C₄²	—	13	1	no	—
1637	C₄²	—	13	1	no	—
1638	C₄²	—	13	1	no	—
1639	C₄²	—	13	1	no	—
1640	C₄²	—	13	1	no	—
1641	C₄²	—	13	1	no	—
1642	C₄²	—	13	1	no	—
1643	C₄²	—	13	1	no	—
1644	C₄²	—	13	1	no	—
1645	C₄²	—	13	1	no	—
1646	C₄²	—	13	1	no	—
1647	C₄²	—	13	1	no	—
1648	C₄²	—	13	1	no	—
1649	C₄²	—	13	1	no	—
1650	C₄²	—	13	1	no	—
1651	C₄²	—	13	1	no	—
1652	C₄²	—	13	1	no	—
1653	C₄²	—	13	1	no	—
1654	C₄²	—	26	2	no	—
1655	C₄²	—	26	2	no	—
1656	C₄²	—	52	1	no	—
1657	C₄²	—	52	1	no	—
1658	C₄²	—	52	1	no	—
1659	C₄²	—	52	1	no	—
1660	C₄²	—	52	1	no	—
1661	C₄²	—	52	1	no	—
1662	C₄²	—	52	1	no	—
1663	C₄²	—	52	1	no	—
1664	C₄²	—	52	1	no	—
1665	C₄²	—	52	1	no	—
1666	C₄²	—	52	1	no	—
1667	C₄²	—	52	1	no	—
1668	C₄²	—	52	1	no	—
1669	C₄²	—	52	1	no	—
1670	C₄²	—	52	1	no	—
1671	C₄²	—	52	1	no	—
1672	C₄²	—	52	1	no	—
1673	C₄²	—	52	1	no	—
1674	C₄²	—	52	1	no	—
1675	C₄²	—	52	1	no	—
1676	C₄²	C₂²×#261	1	1	yes	characteristic
1677	C₄²	C₂²×#261	1	1	yes	characteristic
1678	C₄²	C₂²×#261	1	1	yes	characteristic
1679	C₄²	C₂²×#261	1	1	yes	characteristic
1680	C₄²	C₂²×#261	1	1	yes	characteristic
1681	C₄²	C₂²×#261	1	1	yes	characteristic
1682	C₄²	C₂²×#261	1	1	yes	characteristic
1683	C₁₃	#34505	1	1	yes	characteristic, complemented, Sylow
1684	C₂³	—	13	1	no	—
1685	C₂³	—	13	1	no	—
1686	C₂³	—	13	1	no	—
1687	C₂³	—	26	1	no	—
1688	C₂³	—	26	1	no	—
1689	C₂³	—	26	1	no	—
1690	C₂³	—	26	1	no	—
1691	C₂³	—	26	1	no	—
1692	C₂³	—	26	1	no	—
1693	C₂³	—	26	1	no	—
1694	C₂³	—	26	1	no	—
1695	C₂³	—	26	1	no	—
1696	C₂³	—	26	1	no	—
1697	C₂³	—	26	1	no	—
1698	C₂³	—	26	1	no	—
1699	C₂³	C₂³×#261	1	1	yes	characteristic
1700	C₂³	C₂³×#261	1	1	yes	characteristic
1701	Q₈	—	4	1	no	—
1702	Q₈	—	4	1	no	—
1703	Q₈	—	4	1	no	—
1704	Q₈	—	52	1	no	—
1705	Q₈	—	52	1	no	—
1706	Q₈	—	52	1	no	—
1707	Q₈	—	52	1	no	—
1708	Q₈	—	52	1	no	—
1709	Q₈	—	52	1	no	—
1710	Q₈	—	52	1	no	—
1711	Q₈	—	52	1	no	—
1712	Q₈	—	52	1	no	—
1713	D₄	—	4	1	no	—
1714	D₄	—	52	1	no	—
1715	D₄	—	52	1	no	—
1716	D₄	—	52	1	no	—
1717	C₂×C₄	—	4	1	no	—
1718	C₂×C₄	—	4	1	no	—
1719	C₂×C₄	—	13	2	no	—
1720	C₂×C₄	—	13	1	no	—
1721	C₂×C₄	—	13	1	no	—
1722	C₂×C₄	—	13	1	no	—
1723	C₂×C₄	—	13	1	no	—
1724	C₂×C₄	—	13	1	no	—
1725	C₂×C₄	—	13	1	no	—
1726	C₂×C₄	—	13	1	no	—
1727	C₂×C₄	—	13	1	no	—
1728	C₂×C₄	—	13	1	no	—
1729	C₂×C₄	—	13	1	no	—
1730	C₂×C₄	—	13	1	no	—
1731	C₂×C₄	—	13	1	no	—
1732	C₂×C₄	—	13	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	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	26	1	no	—
1757	C₂×C₄	—	26	1	no	—
1758	C₂×C₄	—	26	1	no	—
1759	C₂×C₄	—	26	1	no	—
1760	C₂×C₄	—	26	1	no	—
1761	C₂×C₄	—	26	1	no	—
1762	C₂×C₄	—	26	1	no	—
1763	C₂×C₄	—	26	1	no	—
1764	C₂×C₄	—	26	1	no	—
1765	C₂×C₄	—	26	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	26	1	no	—
1790	C₂×C₄	—	26	1	no	—
1791	C₂×C₄	—	26	1	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	26	1	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	52	1	no	—
1807	C₂×C₄	—	52	1	no	—
1808	C₂×C₄	—	52	1	no	—
1809	C₂×C₄	—	52	1	no	—
1810	C₂×C₄	—	52	1	no	—
1811	C₂×C₄	—	52	1	no	—
1812	C₂×C₄	—	104	2	no	—
1813	C₂×C₄	—	104	2	no	—
1814	C₂×C₄	—	104	2	no	—
1815	C₂×C₄	—	104	2	no	—
1816	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1817	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1818	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1819	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1820	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1821	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1822	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1823	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1824	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1825	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1826	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1827	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1828	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	13	1	no	—
1836	C₂²	—	13	1	no	—
1837	C₂²	—	13	1	no	—
1838	C₂²	—	13	1	no	—
1839	C₂²	—	13	1	no	—
1840	C₂²	—	13	1	no	—
1841	C₂²	—	26	1	no	—
1842	C₂²	—	26	1	no	—
1843	C₂²	—	26	1	no	—
1844	C₂²	—	26	1	no	—
1845	C₂²	—	26	1	no	—
1846	C₂²	—	26	1	no	—
1847	C₂²	—	52	1	no	—
1848	C₂²	—	52	1	no	—
1849	C₂²	—	52	1	no	—
1850	C₂²	—	52	1	no	—
1851	C₂²	—	52	1	no	—
1852	C₂²	—	52	1	no	—
1853	C₂²	—	52	1	no	—
1854	C₂²	—	52	1	no	—
1855	C₂²	C₂⁴×#261	1	1	yes	characteristic
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	2	1	no	—
1859	C₄	—	2	1	no	—
1860	C₄	—	2	1	no	—
1861	C₄	—	2	1	no	—
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	26	2	no	—
1870	C₄	—	26	1	no	—
1871	C₄	—	26	1	no	—
1872	C₄	—	26	1	no	—
1873	C₄	—	26	1	no	—
1874	C₄	—	26	1	no	—
1875	C₄	—	26	1	no	—
1876	C₄	—	26	1	no	—
1877	C₄	—	26	1	no	—
1878	C₄	—	26	1	no	—
1879	C₄	—	26	1	no	—
1880	C₄	—	26	1	no	—
1881	C₄	—	26	1	no	—
1882	C₄	—	26	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	—	52	1	no	—
1885	C₄	—	52	1	no	—
1886	C₄	—	52	1	no	—
1887	C₄	—	52	1	no	—
1888	C₄	—	52	1	no	—
1889	C₄	—	52	1	no	—
1890	C₄	—	52	1	no	—
1891	C₄	—	52	1	no	—
1892	C₄	—	52	1	no	—
1893	C₄	—	52	1	no	—
1894	C₄	—	52	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₂	—	4	1	no	—
1899	C₂	—	4	1	no	—
1900	C₂	—	13	1	no	—
1901	C₂	—	13	1	no	—
1902	C₂	—	13	1	no	—
1903	C₂	—	13	1	no	—
1904	C₂	—	52	1	no	—
1905	C₂	—	52	1	no	—
1906	C₂	#13131816	1	1	yes	characteristic
1907	C₂	#13131816	1	1	yes	characteristic
1908	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×#556	C₄
prime radical	C₂×D₄×D₁₃	C₂³
cosocle	C₂²×D₁₃	C₂⁵
hypercenter	#556	#261
hypocenter	C₁₃	#34505
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. #13131383	C₂	semidirect
2. #13131381	C₂	semidirect
4. #13131378	C₂	semidirect
5. #13131373	C₂	semidirect
6. #13131373	C₂	semidirect
7. #13131373	C₂	semidirect
9. #13131368	C₂	semidirect
10. #13131356	C₂	semidirect
11. #13131356	C₂	semidirect
12. #13131355	C₂	semidirect
14. #13131343	C₂	semidirect
15. #13131343	C₂	semidirect
18. #13131334	C₂	semidirect
19. #13131334	C₂	semidirect
20. #13131334	C₂	semidirect
21. #13131332	C₂	semidirect
22. #13131331	C₂	semidirect
23. #13131329	C₂	semidirect
24. #13131320	C₂	semidirect
25. #13131320	C₂	semidirect
27. #13131314	C₂	semidirect
28. #126×#261	C₂	semidirect
29. #13131298	C₂	semidirect
30. #13131295	C₂	semidirect
32. C₁₃×#556	C₄	semidirect
33. #11719437	C₄	semidirect
39. #11719407	C₄	semidirect
40. #11719407	C₄	semidirect
41. #11719407	C₄	semidirect
42. #11719407	C₄	semidirect
45. #11719376	C₄	semidirect
46. #11719376	C₄	semidirect
47. #11719346	C₄	semidirect
48. #11719346	C₄	semidirect
51. #11719289	C₄	semidirect
55. #11719273	C₄	semidirect
56. #11719273	C₄	semidirect
58. #11719247	C₄	semidirect
59. #11719238	C₄	semidirect
60. #11719238	C₄	semidirect
269. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
270. C₁₃×#126	C₂×C₄	semidirect
271. C₁₃×#126	C₂×C₄	semidirect
272. C₁₃×#126	C₂×C₄	semidirect
273. C₁₃×#126	C₂×C₄	semidirect
276. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
277. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
278. C₄×Q₈×C₁₃	C₂×C₄	semidirect
279. C₄×Q₈×C₁₃	C₂×C₄	semidirect
280. C₄×Q₈×C₁₃	C₂×C₄	semidirect
282. C₁₃×#117	C₂×C₄	semidirect
283. C₁₃×#117	C₂×C₄	semidirect
286. #88200	C₂×C₄	semidirect
287. #88200	C₂×C₄	semidirect
288. Q₈×Dic₁₃	C₂×C₄	semidirect
289. Q₈×Dic₁₃	C₂×C₄	semidirect
290. Q₈×Dic₁₃	C₂×C₄	semidirect
291. #88198	C₂×C₄	semidirect
292. #88198	C₂×C₄	semidirect
298. #88180	C₂×C₄	semidirect
299. #88180	C₂×C₄	semidirect
300. #88178	C₂×C₄	semidirect
301. #88178	C₂×C₄	semidirect
302. #88152	C₂×C₄	semidirect
303. #88152	C₂×C₄	semidirect
304. #88152	C₂×C₄	semidirect
305. #88152	C₂×C₄	semidirect
306. #88152	C₂×C₄	semidirect
307. #88152	C₂×C₄	semidirect
308. #88152	C₂×C₄	semidirect
309. #88152	C₂×C₄	semidirect
310. #88152	C₂×C₄	semidirect
311. #88152	C₂×C₄	semidirect
312. #88152	C₂×C₄	semidirect
313. #88152	C₂×C₄	semidirect
314. #88151	C₂×C₄	semidirect
315. #88151	C₂×C₄	semidirect
316. #88150	C₂×C₄	semidirect
317. #88150	C₂×C₄	semidirect
318. #88150	C₂×C₄	semidirect
319. #88150	C₂×C₄	semidirect
321. #88146	C₂×C₄	semidirect
322. #88146	C₂×C₄	semidirect
323. #88146	C₂×C₄	semidirect
324. #88146	C₂×C₄	semidirect
337. #88142	C₂×C₄	semidirect
338. #88142	C₂×C₄	semidirect
339. #88142	C₂×C₄	semidirect
340. #88142	C₂×C₄	semidirect
341. #88141	C₂×C₄	semidirect
342. #88141	C₂×C₄	semidirect
343. #88141	C₂×C₄	semidirect
344. #88141	C₂×C₄	semidirect
345. #88141	C₂×C₄	semidirect
346. #88141	C₂×C₄	semidirect
347. #88141	C₂×C₄	semidirect
348. #88141	C₂×C₄	semidirect
349. #88141	C₂×C₄	semidirect
370. #88133	C₂×C₄	semidirect
371. #88133	C₂×C₄	semidirect
372. #88133	C₂×C₄	semidirect
373. #88133	C₂×C₄	semidirect
374. #88133	C₂×C₄	semidirect
375. #88133	C₂×C₄	semidirect
376. #88133	C₂×C₄	semidirect
377. #88133	C₂×C₄	semidirect
378. #88133	C₂×C₄	semidirect
379. #88133	C₂×C₄	semidirect
380. #88133	C₂×C₄	semidirect
381. #88133	C₂×C₄	semidirect
382. #88132	C₂×C₄	semidirect
383. #88132	C₂×C₄	semidirect
384. #88132	C₂×C₄	semidirect
385. #88132	C₂×C₄	semidirect
386. #88131	C₂×C₄	semidirect
387. #88131	C₂×C₄	semidirect
388. #88131	C₂×C₄	semidirect
389. #88131	C₂×C₄	semidirect
390. #88130	C₂×C₄	semidirect
391. #88130	C₂×C₄	semidirect
392. #88130	C₂×C₄	semidirect
393. #88130	C₂×C₄	semidirect
397. #88126	C₂×C₄	semidirect
398. #88126	C₂×C₄	semidirect
399. #88126	C₂×C₄	semidirect
400. #88126	C₂×C₄	semidirect
408. #88123	C₂×C₄	semidirect
409. C₄×Dic₂₆	C₂×C₄	semidirect
410. C₄×Dic₂₆	C₂×C₄	semidirect
411. C₄×Dic₂₆	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
921. #556	#261	semidirect
1163. C₄⋊Q₈	C₂×#261	semidirect
1192. #126	C₂×#261	semidirect
1193. #126	C₂×#261	semidirect
1194. #126	C₂×#261	semidirect
1195. #126	C₂×#261	semidirect
1226. C₂²⋊Q₈	C₂×#261	semidirect
1227. C₂²⋊Q₈	C₂×#261	semidirect
1249. C₄×Q₈	C₂×#261	semidirect
1250. C₄×Q₈	C₂×#261	semidirect
1251. C₄×Q₈	C₂×#261	semidirect
1274. #117	C₂×#261	semidirect
1275. #117	C₂×#261	semidirect
1683. C₁₃	#34505	semidirect

Maximal subgroups

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

subgroup	index
#13131383	2
#13131381	2
#13131379	2
#13131378	2
#13131373	2
#13131372	2
#13131368	2
#13131356	2
#13131355	2
#13131353	2
#13131343	2
#13131337	2
#13131334	2
#13131332	2
#13131331	2
#13131329	2
#13131320	2
#13131318	2
#13131314	2
#126×#261	2
#13131298	2
#13131295	2
D₁₃×#556	2
#34505	13