Subgroups — #16727433

Order 3328.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128129	C₂	1	1	yes	maximal, characteristic
2	#13123822	C₂	1	2	yes	maximal, complemented
3	#13123820	C₂	1	2	yes	maximal, complemented
4	#13123818	C₂	1	2	yes	maximal, complemented
5	#13123815	C₂	1	2	yes	maximal, complemented
6	#13123803	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123802	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123800	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123800	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123798	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123798	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123797	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123772	C₂	1	2	yes	maximal, complemented
14	#13123550	C₂	1	2	yes	maximal, complemented
15	#13123536	C₂	1	2	yes	maximal, complemented
16	#13123534	C₂	1	2	yes	maximal, complemented
17	#13123475	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123475	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123464	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88161	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88155	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×M₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
25	#11719537	C₄	1	1	yes	characteristic
26	#11719533	C₄	1	1	yes	characteristic
27	C₂×#88161	C₂²	1	2	yes	—
28	C₂×M₁₆×D₁₃	C₂²	1	2	yes	—
29	C₂×#88155	C₂²	1	2	yes	—
30	#11719285	C₄	1	1	yes	characteristic
31	#11719285	C₂²	1	1	yes	characteristic
32	#11719283	C₄	1	1	yes	characteristic
33	#11719283	C₂²	1	1	yes	characteristic
34	#11719262	C₄	1	1	yes	characteristic
35	#11719262	C₂²	1	1	yes	characteristic
36	#11719253	C₄	1	1	yes	characteristic
37	#11719253	C₂²	1	1	yes	characteristic
38	#11719252	C₄	1	1	yes	characteristic
39	#11719252	C₄	1	1	yes	characteristic
40	#11719252	C₂²	1	1	yes	characteristic
41	#11719252	C₂²	1	1	yes	characteristic
42	#11719243	C₄	1	1	yes	characteristic
43	#11719243	C₄	1	1	yes	characteristic
44	#11719243	C₂²	1	1	yes	characteristic
45	#11719243	C₂²	1	1	yes	characteristic
46	#11719233	C₄	1	1	yes	characteristic
47	#11719233	C₄	1	1	yes	characteristic
48	#11719233	C₄	1	1	yes	characteristic
49	#11719233	C₄	1	1	yes	characteristic
50	#11719229	C₄	1	1	yes	characteristic
51	#11719222	C₄	1	1	yes	characteristic
52	C₄×#6127	C₂²	1	1	yes	characteristic
53	C₄×#6127	C₂²	1	1	yes	characteristic
54	C₄×#6127	C₂²	1	1	yes	characteristic
55	C₄×#6127	C₂²	1	1	yes	characteristic
56	C₄×#6127	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
58	C₁₃×#446	C₂²	1	2	yes	complemented
59	C₁₃×#436	C₂²	1	2	yes	—
60	C₁₃×#435	C₂²	1	2	yes	—
61	C₁₃×#435	C₂²	1	2	yes	complemented
62	C₁₃×#431	C₂²	1	1	yes	characteristic
63	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
68	#11718789	C₂²	1	2	yes	—
69	#11718789	C₂²	1	2	yes	—
70	#11718788	C₂²	1	2	yes	—
71	#11718788	C₂²	1	2	yes	complemented
72	#11718783	C₂²	1	2	yes	complemented
73	M₁₆×Dic₁₃	C₂²	1	2	yes	—
74	#11718772	C₂²	1	2	yes	—
75	#11718772	C₂²	1	2	yes	complemented
76	#11718762	C₂²	1	2	yes	complemented
77	#11718685	C₂²	1	2	yes	complemented
78	#11718673	C₂²	1	2	yes	—
79	#11718672	C₂²	1	2	yes	—
80	#11718672	C₂²	1	2	yes	complemented
81	#11718586	C₂²	1	1	yes	characteristic
82	#11718586	C₂²	1	1	yes	characteristic, complemented
83	#11718586	C₂²	1	1	yes	characteristic, complemented
84	C₄×#6099	C₂²	1	1	yes	characteristic
85	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
87	#11718501	C₂²	1	2	yes	complemented
88	#11718501	C₂²	1	2	yes	complemented
89	#11718500	C₂²	1	2	yes	—
90	#11718500	C₂²	1	2	yes	—
91	#11718499	C₂²	1	2	yes	—
92	#11718498	C₂²	1	2	yes	—
93	#11718497	C₂²	1	2	yes	—
94	#11718497	C₂²	1	2	yes	complemented
95	#11718496	C₂²	1	2	yes	—
96	#11718492	C₂²	1	2	yes	complemented
97	#11718489	C₂²	1	2	yes	complemented
98	#11718489	C₂²	1	2	yes	complemented
99	#11718391	C₂²	1	2	yes	—
100	#11718391	C₂²	1	2	yes	complemented
101	#11718390	C₂²	1	2	yes	—
102	#11718390	C₂²	1	2	yes	—
103	#11718389	C₂²	1	2	yes	—
104	#11718389	C₂²	1	2	yes	complemented
105	#11718388	C₂²	1	2	yes	—
106	#11718388	C₂²	1	2	yes	—
107	#11718387	C₂²	1	2	yes	—
108	#11718381	C₂²	1	2	yes	complemented
109	#11718381	C₂²	1	2	yes	complemented
110	#11718380	C₂²	1	2	yes	—
111	#11718369	C₂²	1	2	yes	—
112	#11718369	C₂²	1	2	yes	complemented
113	#11718368	C₂²	1	2	yes	—
114	#11718367	C₂²	1	2	yes	—
115	#11718367	C₂²	1	2	yes	complemented
116	D₁₃×#97	C₂²	1	2	yes	—
117	#11718362	C₂²	1	2	yes	complemented
118	#11718362	C₂²	1	2	yes	complemented
119	#11718350	C₂²	1	2	yes	—
120	#11718350	C₂²	1	2	yes	complemented
121	#11718349	C₂²	1	2	yes	—
122	C₄×#6094	C₂²	1	1	yes	characteristic
123	C₄×#6094	C₂²	1	1	yes	characteristic
124	C₄×#6094	C₂²	1	1	yes	characteristic
125	C₄×#6094	C₂²	1	1	yes	characteristic
126	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
128	#11718346	C₂²	1	1	yes	characteristic
129	#11718346	C₂²	1	1	yes	characteristic
130	#11718346	C₂²	1	1	yes	characteristic, complemented
131	#11718346	C₂²	1	1	yes	characteristic, complemented
132	#11718346	C₂²	1	1	yes	characteristic, complemented
133	#11718346	C₂²	1	1	yes	characteristic, complemented
134	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
135	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
136	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
138	#11718340	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	C₂×C₄	1	1	yes	characteristic
140	C₂×#6127	C₂×C₄	1	1	yes	characteristic
141	C₂×#6127	C₂×C₄	1	1	yes	characteristic
142	C₂×#6127	C₂×C₄	1	1	yes	characteristic
143	C₂×#6127	C₂³	1	1	yes	characteristic
144	C₂×#6127	C₂³	1	1	yes	characteristic
145	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
151	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
154	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
155	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
156	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
160	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
161	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
162	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
165	#88201	C₂×C₄	1	1	yes	characteristic
166	#88200	C₂×C₄	1	1	yes	characteristic
167	#88200	C₂×C₄	1	1	yes	characteristic
168	#88198	C₂×C₄	1	1	yes	characteristic
169	#88194	C₂×C₄	1	1	yes	characteristic
170	#88193	C₂×C₄	1	1	yes	characteristic
171	#88193	C₂×C₄	1	1	yes	characteristic
172	#88193	C₂×C₄	1	1	yes	characteristic
173	#88193	C₂×C₄	1	1	yes	characteristic
174	#88192	C₂×C₄	1	1	yes	characteristic
175	#88192	C₂×C₄	1	1	yes	characteristic
176	#88191	C₂×C₄	1	1	yes	characteristic
177	#88191	C₂×C₄	1	1	yes	characteristic
178	#88190	C₂×C₄	1	1	yes	characteristic
179	#88189	C₂×C₄	1	1	yes	characteristic
180	#88189	C₂×C₄	1	1	yes	characteristic
181	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
201	#88180	C₂×C₄	1	1	yes	characteristic
202	#88180	C₂×C₄	1	1	yes	characteristic
203	#88180	C₂×C₄	1	1	yes	characteristic
204	#88180	C₂³	1	1	yes	characteristic
205	#88180	C₂³	1	1	yes	characteristic
206	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
207	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂×#6099	C₂³	1	2	yes	—
210	C₂×#6099	C₂³	1	2	yes	—
211	C₂²×#1055	C₂³	1	2	yes	—
212	#88161	—	2	8	no	—
213	M₁₆×D₁₃	—	2	8	no	—
214	#88155	—	2	8	no	—
215	C₂×#6094	C₂³	1	2	yes	—
216	C₂×#6094	C₂³	1	2	yes	—
217	C₂×#6094	C₂³	1	2	yes	—
218	C₂×#6094	C₂³	1	2	yes	—
219	C₂×#6094	C₂³	1	2	yes	—
220	C₂×#6094	C₂³	1	2	yes	—
221	C₂×C₈×D₁₃	C₂³	1	2	yes	—
222	C₂×C₈×D₁₃	C₂³	1	2	yes	—
223	C₂×C₈×D₁₃	C₂³	1	2	yes	—
224	C₂×C₈×D₁₃	C₂³	1	2	yes	—
225	#88152	C₂×C₄	1	1	yes	characteristic
226	#88152	C₂×C₄	1	1	yes	characteristic
227	#88152	C₂×C₄	1	1	yes	characteristic
228	#88152	C₂×C₄	1	1	yes	characteristic
229	#88151	C₂×C₄	1	1	yes	characteristic
230	#88151	C₂×C₄	1	1	yes	characteristic
231	#88150	C₂×C₄	1	1	yes	characteristic
232	#88150	C₂×C₄	1	1	yes	characteristic
233	#88150	C₂×C₄	1	1	yes	characteristic
234	#88150	C₂×C₄	1	1	yes	characteristic
235	#88149	C₂×C₄	1	1	yes	characteristic
236	#88149	C₂×C₄	1	1	yes	characteristic
237	#88148	C₂×C₄	1	1	yes	characteristic
238	#88148	C₂×C₄	1	1	yes	characteristic
239	#88148	C₂×C₄	1	1	yes	characteristic
240	#88148	C₂×C₄	1	1	yes	characteristic
241	#88144	C₂×C₄	1	1	yes	characteristic
242	#88144	C₂×C₄	1	1	yes	characteristic
243	#88143	C₂×C₄	1	1	yes	characteristic
244	#88143	C₂×C₄	1	1	yes	characteristic
245	#88143	C₂×C₄	1	1	yes	characteristic
246	#88143	C₂×C₄	1	1	yes	characteristic
247	#88142	C₂×C₄	1	1	yes	characteristic
248	#88142	C₂×C₄	1	1	yes	characteristic
249	#88140	C₂×C₄	1	1	yes	characteristic
250	#88140	C₂×C₄	1	1	yes	characteristic
251	#88139	C₂×C₄	1	1	yes	characteristic
252	#88139	C₂×C₄	1	1	yes	characteristic
253	#88139	C₂×C₄	1	1	yes	characteristic
254	#88139	C₂×C₄	1	1	yes	characteristic
255	#88138	C₂×C₄	1	1	yes	characteristic
256	#88138	C₂×C₄	1	1	yes	characteristic
257	#88138	C₂×C₄	1	1	yes	characteristic
258	#88138	C₂×C₄	1	1	yes	characteristic
259	#88137	C₂×C₄	1	1	yes	characteristic
260	#88137	C₂×C₄	1	1	yes	characteristic
261	#88137	C₂×C₄	1	1	yes	characteristic
262	#88137	C₂×C₄	1	1	yes	characteristic
263	#88136	C₂×C₄	1	1	yes	characteristic
264	#88136	C₂×C₄	1	1	yes	characteristic
265	#88133	C₂×C₄	1	1	yes	characteristic
266	#88133	C₂×C₄	1	1	yes	characteristic
267	#88133	C₂×C₄	1	1	yes	characteristic
268	#88133	C₂×C₄	1	1	yes	characteristic
269	#88132	C₂×C₄	1	1	yes	characteristic
270	#88132	C₂×C₄	1	1	yes	characteristic
271	#88132	C₂×C₄	1	1	yes	characteristic
272	#88132	C₂×C₄	1	1	yes	characteristic
273	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
274	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
275	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
276	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
277	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
278	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
279	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
280	C₄×D₅₂	C₂³	1	1	yes	characteristic
281	C₄×D₅₂	C₂³	1	1	yes	characteristic
282	C₄×D₅₂	C₂³	1	1	yes	characteristic
283	#88126	C₂×C₄	1	1	yes	characteristic
284	#88126	C₂×C₄	1	1	yes	characteristic
285	#88126	C₂×C₄	1	1	yes	characteristic
286	#88126	C₂×C₄	1	1	yes	characteristic
287	#88126	C₂×C₄	1	1	yes	characteristic
288	#88126	C₂×C₄	1	1	yes	characteristic
289	#88126	C₂³	1	1	yes	characteristic
290	#88126	C₂³	1	1	yes	characteristic
291	#88126	C₂³	1	1	yes	characteristic
292	#88126	C₂³	1	1	yes	characteristic
293	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
294	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₁₃	C₂³	1	1	yes	characteristic
298	C₄²×D₁₃	C₂³	1	1	yes	characteristic
299	C₄²×D₁₃	C₂³	1	1	yes	characteristic
300	C₄²×D₁₃	C₂³	1	1	yes	characteristic
301	C₄²×D₁₃	C₂³	1	1	yes	characteristic
302	C₄²×D₁₃	C₂³	1	1	yes	characteristic
303	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
304	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
311	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
312	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×#97	C₂³	1	2	yes	—
320	C₁₃×#97	C₂³	1	2	yes	—
321	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
322	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
323	C₄×C₈×C₁₃	C₂³	1	2	yes	—
324	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
325	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
326	C₂²⋊#1055	C₂³	1	2	yes	—
327	C₂²⋊#1055	C₂³	1	2	yes	—
328	C₂²⋊#1055	C₂³	1	2	yes	—
329	#88060	C₂³	1	2	yes	—
330	#88060	C₂³	1	2	yes	—
331	#88060	C₂³	1	2	yes	—
332	#88060	C₂³	1	2	yes	—
333	#88060	C₂³	1	2	yes	—
334	#88060	C₂³	1	2	yes	—
335	#88055	C₂³	1	2	yes	—
336	#88055	C₂³	1	2	yes	—
337	#88055	C₂³	1	2	yes	—
338	#88055	C₂³	1	2	yes	—
339	#88055	C₂³	1	2	yes	—
340	#88055	C₂³	1	2	yes	—
341	#88054	C₂³	1	2	yes	—
342	#88054	C₂³	1	2	yes	—
343	#88054	C₂³	1	2	yes	—
344	#88054	C₂³	1	2	yes	—
345	#88054	C₂³	1	2	yes	—
346	#88054	C₂³	1	2	yes	—
347	C₈×Dic₁₃	C₂³	1	2	yes	—
348	C₈×Dic₁₃	C₂³	1	2	yes	—
349	C₈×Dic₁₃	C₂³	1	2	yes	—
350	C₈×Dic₁₃	C₂³	1	2	yes	—
351	C₄⋊#1055	C₂³	1	2	yes	—
352	C₄⋊#1055	C₂³	1	2	yes	—
353	C₄⋊#1055	C₂³	1	2	yes	—
354	#88043	C₂³	1	2	yes	—
355	#88043	C₂³	1	2	yes	—
356	C₄×#1055	C₂³	1	2	yes	—
357	C₄×#1055	C₂³	1	1	yes	characteristic
358	C₄×#1055	C₂³	1	1	yes	characteristic
359	C₄×#1055	C₂³	1	1	yes	characteristic
360	C₄×#1055	C₂³	1	1	yes	characteristic
361	#60205	—	13	1	no	maximal, Sylow
362	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
363	C₁₃×#41	—	4	2	no	—
364	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
365	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
366	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
367	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
381	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
385	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
386	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
389	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
390	#6127	—	2	4	no	—
391	#6127	—	2	4	no	—
392	#6127	—	4	2	no	—
393	#6127	—	4	2	no	—
394	#6127	—	4	2	no	—
395	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
396	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
397	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
398	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
399	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
400	C₂×C₄×D₁₃	—	2	4	no	—
401	C₂×C₄×D₁₃	—	4	2	no	—
402	C₂×C₄×D₁₃	—	4	2	no	—
403	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
418	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
422	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
423	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
424	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
426	C₁₃×M₁₆	—	2	4	no	—
427	C₁₃×M₁₆	—	2	4	no	—
428	C₂×C₈×C₁₃	—	2	4	no	—
429	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
430	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
431	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
432	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
433	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
450	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
456	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
457	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
458	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
459	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
460	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
461	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
462	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
463	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
464	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
465	#6103	C₂²×C₄	1	1	yes	characteristic
466	#6103	C₂²×C₄	1	1	yes	characteristic
467	#6103	C₂²×C₄	1	1	yes	characteristic
468	#6103	C₂²×C₄	1	1	yes	characteristic
469	#6103	C₂²×C₄	1	1	yes	characteristic
470	#6103	C₂²×C₄	1	1	yes	characteristic
471	#6103	C₂²×C₄	1	1	yes	characteristic
472	#6103	C₂²×C₄	1	1	yes	characteristic
473	#6103	C₂²×C₄	1	1	yes	characteristic
474	#6103	C₂²×C₄	1	1	yes	characteristic
475	#6103	C₂²×C₄	1	1	yes	characteristic
476	#6103	C₂²×C₄	1	1	yes	characteristic
477	#6103	C₂²×C₄	1	1	yes	characteristic
478	#6103	C₂²×C₄	1	1	yes	characteristic
479	#6103	C₂²×C₄	1	1	yes	characteristic
480	#6103	C₂²×C₄	1	1	yes	characteristic
481	#6103	C₂²×C₄	1	1	yes	characteristic
482	#6103	C₂²×C₄	1	1	yes	characteristic
483	#6103	C₂²×C₄	1	1	yes	characteristic
484	#6103	C₂²×C₄	1	1	yes	characteristic
485	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
494	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
495	#6101	C₂²×C₄	1	1	yes	characteristic
496	#6101	C₂²×C₄	1	1	yes	characteristic
497	#6101	C₂²×C₄	1	1	yes	characteristic
498	#6101	C₂²×C₄	1	1	yes	characteristic
499	#6101	C₂²×C₄	1	1	yes	characteristic
500	#6101	C₂²×C₄	1	1	yes	characteristic
501	#6101	C₂²×C₄	1	1	yes	characteristic
502	#6101	C₂²×C₄	1	1	yes	characteristic
503	#6101	C₂²×C₄	1	1	yes	characteristic
504	#6101	C₂²×C₄	1	1	yes	characteristic
505	#6101	C₂²×C₄	1	1	yes	characteristic
506	#6101	C₂²×C₄	1	1	yes	characteristic
507	#6101	C₂²×C₄	1	1	yes	characteristic
508	#6101	C₂²×C₄	1	1	yes	characteristic
509	#6101	C₂²×C₄	1	1	yes	characteristic
510	#6101	C₂²×C₄	1	1	yes	characteristic
511	#6101	C₂²×C₄	1	1	yes	characteristic
512	#6101	C₂²×C₄	1	1	yes	characteristic
513	#6101	C₂²×C₄	1	1	yes	characteristic
514	#6101	C₂²×C₄	1	1	yes	characteristic
515	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
516	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
517	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
518	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
519	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
520	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
521	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
522	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
523	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
524	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
525	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
526	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
527	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
528	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
529	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
530	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
531	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
532	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
533	#6099	—	2	4	no	—
534	#6099	—	2	4	no	—
535	C₂×#1055	—	2	4	no	—
536	C₂×#1055	C₂⁴	1	2	yes	—
537	C₂×#1055	C₂⁴	1	2	yes	—
538	C₂×#1055	C₂⁴	1	2	yes	—
539	C₂×#1055	C₂⁴	1	2	yes	—
540	#6094	—	2	4	no	—
541	#6094	—	2	4	no	—
542	#6094	—	2	4	no	—
543	#6094	—	2	4	no	—
544	#6094	—	2	4	no	—
545	#6094	—	2	4	no	—
546	C₈×D₁₃	—	2	4	no	—
547	C₈×D₁₃	—	2	4	no	—
548	C₈×D₁₃	—	2	4	no	—
549	C₈×D₁₃	#41	1	8	yes	complemented
550	#3444	—	13	1	no	—
551	#2967	—	13	2	no	—
552	#2967	—	13	2	no	—
553	#2967	—	13	2	no	—
554	#2967	—	13	2	no	—
555	#2965	—	13	1	no	—
556	#2965	—	13	1	no	—
557	#2965	—	13	1	no	—
558	#2965	—	13	1	no	—
559	#2965	—	13	1	no	—
560	#2965	—	13	1	no	—
561	#2965	—	13	1	no	—
562	#2965	D₁₃	1	1	yes	characteristic, complemented
563	#2961	—	13	2	no	—
564	#2932	—	13	2	no	—
565	#2930	—	13	2	no	—
566	#2930	—	13	2	no	—
567	#2922	—	13	1	no	—
568	#2922	—	13	1	no	—
569	#2920	—	13	1	no	—
570	C₄×#131	—	13	1	no	—
571	C₄×#131	—	13	1	no	—
572	C₂×C₄×M₁₆	—	13	1	no	—
573	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
574	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
575	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
576	C₂²×D₁₃	—	2	2	no	—
577	C₂²×D₁₃	—	4	1	no	—
578	C₂²×D₁₃	—	4	1	no	—
579	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
580	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
581	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
582	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
583	Q₈×C₁₃	—	4	1	no	—
584	D₄×C₁₃	—	4	1	no	—
585	D₄×C₁₃	—	4	1	no	—
586	D₄×C₁₃	—	4	1	no	—
587	C₂×C₄×C₁₃	—	2	2	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	2	no	—
594	C₂×C₄×C₁₃	—	2	2	no	—
595	C₂×C₄×C₁₃	—	2	2	no	—
596	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
597	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
598	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
599	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
600	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
601	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
605	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
608	C₂²⋊D₁₃	—	2	2	no	—
609	C₂²⋊D₁₃	—	2	2	no	—
610	C₂²⋊D₁₃	—	2	2	no	—
611	C₂²⋊D₁₃	—	2	2	no	—
612	C₂²⋊D₁₃	—	4	1	no	—
613	C₂²⋊D₁₃	—	4	1	no	—
614	C₂²⋊D₁₃	—	4	1	no	—
615	C₂²⋊D₁₃	—	4	1	no	—
616	C₂²⋊D₁₃	—	4	1	no	—
617	C₂²⋊D₁₃	—	4	1	no	—
618	C₂×Dic₁₃	—	2	2	no	—
619	C₂×Dic₁₃	—	4	1	no	—
620	C₂×Dic₁₃	—	4	1	no	—
621	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
622	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
623	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
624	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
625	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
626	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
627	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
628	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
629	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
630	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
631	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
632	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
633	D₅₂	—	2	2	no	—
634	D₅₂	—	2	2	no	—
635	D₅₂	—	4	1	no	—
636	D₅₂	—	4	1	no	—
637	D₅₂	—	4	1	no	—
638	C₄×D₁₃	—	2	2	no	—
639	C₄×D₁₃	—	2	2	no	—
640	C₄×D₁₃	—	2	2	no	—
641	C₄×D₁₃	—	2	2	no	—
642	C₄×D₁₃	—	2	2	no	—
643	C₄×D₁₃	—	2	2	no	—
644	C₄×D₁₃	—	2	2	no	—
645	C₄×D₁₃	—	2	2	no	—
646	C₄×D₁₃	—	2	2	no	—
647	C₄×D₁₃	—	2	2	no	—
648	C₄×D₁₃	—	2	2	no	—
649	C₄×D₁₃	—	2	2	no	—
650	C₄×D₁₃	—	2	2	no	—
651	C₄×D₁₃	—	4	1	no	—
652	C₄×D₁₃	—	4	1	no	—
653	C₄×D₁₃	—	4	1	no	—
654	C₄×D₁₃	—	4	1	no	—
655	C₄×D₁₃	C₂×#41	1	4	yes	—
656	Dic₂₆	—	2	2	no	—
657	Dic₂₆	—	2	2	no	—
658	Dic₂₆	—	4	1	no	—
659	Dic₂₆	—	4	1	no	—
660	Dic₂₆	—	4	1	no	—
661	C₈×C₁₃	—	2	2	no	—
662	C₈×C₁₃	—	2	2	no	—
663	C₈×C₁₃	—	2	2	no	—
664	C₈×C₁₃	C₂×#41	1	4	yes	—
665	#1055	—	2	2	no	—
666	#1055	—	2	2	no	—
667	#1055	—	2	2	no	—
668	#1055	C₂×#41	1	4	yes	—
669	C₂×#131	—	13	2	no	—
670	C₂×#131	—	13	2	no	—
671	C₂²×M₁₆	—	13	2	no	—
672	#533	—	13	1	no	—
673	#533	—	13	1	no	—
674	#533	—	13	1	no	—
675	#532	—	13	1	no	—
676	#532	—	13	1	no	—
677	#532	—	13	1	no	—
678	#529	—	13	1	no	—
679	#529	—	13	1	no	—
680	#529	—	13	1	no	—
681	#529	—	13	1	no	—
682	#529	—	13	1	no	—
683	#529	—	13	1	no	—
684	#529	—	13	1	no	—
685	#529	—	13	1	no	—
686	#529	—	13	1	no	—
687	#529	—	13	1	no	—
688	#529	—	13	1	no	—
689	#529	—	13	1	no	—
690	#525	—	13	1	no	—
691	#525	—	13	1	no	—
692	#525	—	13	1	no	—
693	#525	—	13	1	no	—
694	#525	—	13	1	no	—
695	#525	—	13	1	no	—
696	C₄×#41	—	13	1	no	—
697	C₄×#41	—	13	1	no	—
698	C₄×#41	—	13	1	no	—
699	C₄×#41	—	13	1	no	—
700	C₄×#41	—	13	1	no	—
701	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
702	C₂²×C₄²	—	13	1	no	—
703	#446	—	13	2	no	—
704	#446	—	13	2	no	—
705	#446	—	13	2	no	—
706	#446	—	13	2	no	—
707	#446	—	13	2	no	—
708	#446	—	13	2	no	—
709	#446	—	13	2	no	—
710	#446	C₂×D₁₃	1	2	yes	complemented
711	#436	—	13	2	no	—
712	#436	—	13	2	no	—
713	#436	—	13	2	no	—
714	#436	—	13	2	no	—
715	#436	—	13	2	no	—
716	#436	—	13	2	no	—
717	#436	—	13	2	no	—
718	#436	C₂×D₁₃	1	2	yes	—
719	#435	—	13	2	no	—
720	#435	—	13	2	no	—
721	#435	—	13	2	no	—
722	#435	—	13	2	no	—
723	#435	—	13	2	no	—
724	#435	—	13	2	no	—
725	#435	—	13	2	no	—
726	#435	—	13	2	no	—
727	#435	—	13	2	no	—
728	#435	—	13	2	no	—
729	#435	—	13	2	no	—
730	#435	—	13	2	no	—
731	#435	—	13	2	no	—
732	#435	—	13	2	no	—
733	#435	C₂×D₁₃	1	2	yes	—
734	#435	C₂×D₁₃	1	2	yes	complemented
735	#433	—	13	2	no	—
736	#433	—	13	2	no	—
737	#433	—	13	2	no	—
738	#433	—	13	2	no	—
739	#432	—	13	2	no	—
740	#432	—	13	2	no	—
741	#431	—	13	1	no	—
742	#431	—	13	1	no	—
743	#431	—	13	1	no	—
744	#431	—	13	1	no	—
745	#431	—	13	1	no	—
746	#431	—	13	1	no	—
747	#431	—	13	1	no	—
748	#431	—	13	1	no	—
749	#431	—	13	1	no	—
750	#431	C₂×D₁₃	1	1	yes	characteristic
751	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
752	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
753	#424	—	13	2	no	—
754	#424	—	13	2	no	—
755	#423	—	13	2	no	—
756	#408	—	13	2	no	—
757	#408	—	13	2	no	—
758	#407	—	13	2	no	—
759	#405	—	13	2	no	—
760	#405	—	13	2	no	—
761	#405	—	13	2	no	—
762	#405	—	13	2	no	—
763	#405	—	13	2	no	—
764	#405	—	13	2	no	—
765	C₄×M₁₆	—	13	2	no	—
766	C₄×M₁₆	—	13	1	no	—
767	C₄×M₁₆	—	13	1	no	—
768	C₄×M₁₆	—	13	2	no	—
769	C₄×M₁₆	—	13	1	no	—
770	C₄×M₁₆	—	13	1	no	—
771	C₄×M₁₆	—	13	1	no	—
772	C₄×M₁₆	—	13	1	no	—
773	C₄×M₁₆	—	13	1	no	—
774	C₄×M₁₆	—	13	1	no	—
775	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic
776	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
777	C₂×#97	—	13	2	no	—
778	C₂×C₄×C₈	—	13	1	no	—
779	C₂×C₄×C₈	—	13	1	no	—
780	C₂×C₄×C₈	—	13	1	no	—
781	C₂×C₄×C₈	—	13	1	no	—
782	C₂×C₄×C₈	—	13	1	no	—
783	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
784	C₂²×C₁₃	—	2	1	no	—
785	C₂²×C₁₃	—	2	1	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	1	no	—
788	C₂²×C₁₃	—	2	1	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
794	C₂×D₁₃	—	2	1	no	—
795	C₂×D₁₃	—	2	1	no	—
796	C₂×D₁₃	—	2	1	no	—
797	C₂×D₁₃	—	2	1	no	—
798	C₂×D₁₃	—	2	1	no	—
799	C₂×D₁₃	—	2	1	no	—
800	C₂×D₁₃	—	2	1	no	—
801	C₂×D₁₃	—	2	1	no	—
802	C₂×D₁₃	—	2	1	no	—
803	C₂×D₁₃	—	2	1	no	—
804	C₂×D₁₃	—	2	1	no	—
805	C₂×D₁₃	—	4	4	no	—
806	C₂×D₁₃	C₄×#41	1	2	yes	—
807	C₄×C₁₃	—	2	1	no	—
808	C₄×C₁₃	—	2	1	no	—
809	C₄×C₁₃	—	2	1	no	—
810	C₄×C₁₃	—	2	1	no	—
811	C₄×C₁₃	—	2	1	no	—
812	C₄×C₁₃	—	2	1	no	—
813	C₄×C₁₃	—	2	1	no	—
814	C₄×C₁₃	—	2	1	no	—
815	C₄×C₁₃	—	2	1	no	—
816	C₄×C₁₃	#568	1	2	yes	—
817	C₄×C₁₃	#568	1	2	yes	—
818	C₄×C₁₃	C₂²×#41	1	2	yes	—
819	Dic₁₃	—	2	1	no	—
820	Dic₁₃	—	2	1	no	—
821	Dic₁₃	—	2	1	no	—
822	Dic₁₃	—	2	1	no	—
823	Dic₁₃	—	2	1	no	—
824	Dic₁₃	—	2	1	no	—
825	Dic₁₃	—	2	1	no	—
826	Dic₁₃	—	2	1	no	—
827	Dic₁₃	—	2	1	no	—
828	Dic₁₃	—	2	1	no	—
829	Dic₁₃	—	2	1	no	—
830	Dic₁₃	C₄×#41	1	2	yes	—
831	C₂×#41	—	13	1	no	—
832	C₂×#41	—	13	1	no	—
833	C₂×#41	—	13	1	no	—
834	C₂×#41	—	13	1	no	—
835	C₂×#41	—	13	1	no	—
836	C₂×#41	C₄×D₁₃	1	1	yes	characteristic
837	C₂³×C₄	—	13	1	no	—
838	C₂³×C₄	—	13	1	no	—
839	C₂³×C₄	—	13	1	no	—
840	#131	—	26	8	no	—
841	#131	—	26	8	no	—
842	C₂×M₁₆	—	13	2	no	—
843	C₂×M₁₆	—	13	2	no	—
844	C₂×M₁₆	—	13	2	no	—
845	C₂×M₁₆	—	13	2	no	—
846	C₂×M₁₆	—	13	2	no	—
847	C₂×M₁₆	—	13	2	no	—
848	C₂×M₁₆	—	13	2	no	—
849	C₂×M₁₆	—	13	2	no	—
850	C₂×M₁₆	—	26	8	no	—
851	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
852	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
853	C₂²×C₈	—	13	2	no	—
854	C₂²×C₈	—	13	2	no	—
855	C₂²×C₈	—	13	2	no	—
856	C₂²×C₈	—	13	2	no	—
857	C₂²×C₈	—	13	2	no	—
858	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
859	C₄⋊Q₈	—	13	1	no	—
860	C₄⋊Q₈	—	13	1	no	—
861	C₄⋊Q₈	—	13	1	no	—
862	#127	—	13	1	no	—
863	#126	—	13	1	no	—
864	#126	—	13	1	no	—
865	#126	—	13	1	no	—
866	#126	—	13	1	no	—
867	#126	—	13	1	no	—
868	#126	—	13	1	no	—
869	#126	—	13	1	no	—
870	#126	—	13	1	no	—
871	#125	—	13	1	no	—
872	#125	—	13	1	no	—
873	#125	—	13	1	no	—
874	#125	—	13	1	no	—
875	#125	—	13	1	no	—
876	#125	—	13	1	no	—
877	#124	—	13	1	no	—
878	#124	—	13	1	no	—
879	#124	—	13	1	no	—
880	#124	—	13	1	no	—
881	#124	—	13	1	no	—
882	#124	—	13	1	no	—
883	#123	—	13	1	no	—
884	#123	—	13	1	no	—
885	#123	—	13	1	no	—
886	#123	—	13	1	no	—
887	#123	—	13	1	no	—
888	#123	—	13	1	no	—
889	#123	—	13	1	no	—
890	#123	—	13	1	no	—
891	#123	—	13	1	no	—
892	#123	—	13	1	no	—
893	#123	—	13	1	no	—
894	#123	—	13	1	no	—
895	C₂²⋊Q₈	—	13	1	no	—
896	C₂²⋊Q₈	—	13	1	no	—
897	C₂²⋊Q₈	—	13	1	no	—
898	C₂²⋊Q₈	—	13	1	no	—
899	C₂²⋊Q₈	—	13	1	no	—
900	C₂²⋊Q₈	—	13	1	no	—
901	C₂²⋊Q₈	—	13	1	no	—
902	C₂²⋊Q₈	—	13	1	no	—
903	C₂²⋊Q₈	—	13	1	no	—
904	C₂²⋊Q₈	—	13	1	no	—
905	C₂²⋊Q₈	—	13	1	no	—
906	C₂²⋊Q₈	—	13	1	no	—
907	#121	—	13	1	no	—
908	#121	—	13	1	no	—
909	#121	—	13	1	no	—
910	#121	—	13	1	no	—
911	#121	—	13	1	no	—
912	#121	—	13	1	no	—
913	#121	—	13	1	no	—
914	#121	—	13	1	no	—
915	#121	—	13	1	no	—
916	#121	—	13	1	no	—
917	#121	—	13	1	no	—
918	#121	—	13	1	no	—
919	#120	—	13	1	no	—
920	#120	—	13	1	no	—
921	#120	—	13	1	no	—
922	#120	—	13	1	no	—
923	C₄×Q₈	—	13	1	no	—
924	C₄×Q₈	—	13	1	no	—
925	C₄×Q₈	—	13	1	no	—
926	C₄×Q₈	—	13	1	no	—
927	C₄×Q₈	—	13	1	no	—
928	C₄×Q₈	—	13	1	no	—
929	C₄×Q₈	—	13	1	no	—
930	C₄×Q₈	—	13	1	no	—
931	C₄×Q₈	—	13	1	no	—
932	C₄×Q₈	—	13	1	no	—
933	C₄×Q₈	C₄×D₁₃	1	1	yes	characteristic
934	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
935	C₄×D₄	—	13	1	no	—
936	C₄×D₄	—	13	1	no	—
937	C₄×D₄	—	13	1	no	—
938	C₄×D₄	—	13	1	no	—
939	C₄×D₄	—	13	1	no	—
940	C₄×D₄	—	13	1	no	—
941	C₄×D₄	—	13	1	no	—
942	C₄×D₄	—	13	1	no	—
943	C₄×D₄	—	13	1	no	—
944	C₄×D₄	—	13	1	no	—
945	C₄×D₄	—	13	1	no	—
946	C₄×D₄	—	13	1	no	—
947	C₄×D₄	—	13	1	no	—
948	C₄×D₄	—	13	1	no	—
949	C₄×D₄	—	13	1	no	—
950	C₄×D₄	—	13	1	no	—
951	C₄×D₄	—	13	1	no	—
952	C₄×D₄	—	13	1	no	—
953	C₄×D₄	—	13	1	no	—
954	C₄×D₄	—	13	1	no	—
955	C₄×D₄	—	13	1	no	—
956	C₄×D₄	—	13	1	no	—
957	C₄×D₄	—	13	1	no	—
958	C₄×D₄	—	13	1	no	—
959	C₄×D₄	—	13	1	no	—
960	C₄×D₄	—	13	1	no	—
961	C₄×D₄	—	13	1	no	—
962	C₄×D₄	—	13	1	no	—
963	C₄×D₄	—	13	1	no	—
964	C₄×D₄	—	13	1	no	—
965	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
966	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
967	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
968	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
971	#117	—	13	1	no	—
972	#117	—	13	1	no	—
973	#117	—	13	1	no	—
974	#117	—	13	1	no	—
975	#117	—	13	1	no	—
976	#117	—	13	1	no	—
977	#117	—	13	1	no	—
978	#117	—	13	1	no	—
979	#117	—	13	1	no	—
980	#117	—	13	1	no	—
981	#117	—	13	1	no	—
982	#117	—	13	1	no	—
983	#117	—	13	1	no	—
984	#117	—	13	1	no	—
985	#117	—	13	1	no	—
986	#117	C₄×D₁₃	1	1	yes	characteristic
987	#117	C₄×D₁₃	1	1	yes	characteristic
988	#117	C₄×D₁₃	1	1	yes	characteristic
989	C₂×C₄²	—	13	1	no	—
990	C₂×C₄²	—	13	1	no	—
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	1	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	1	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1005	C₄⋊C₈	—	13	2	no	—
1006	C₄⋊C₈	—	13	2	no	—
1007	C₄⋊C₈	—	13	2	no	—
1008	C₄⋊C₈	—	13	2	no	—
1009	C₄⋊C₈	—	13	2	no	—
1010	C₄⋊C₈	—	13	2	no	—
1011	C₄⋊C₈	—	13	2	no	—
1012	C₄⋊C₈	—	13	2	no	—
1013	C₄⋊C₈	—	13	2	no	—
1014	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1015	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1016	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1017	C₂²⋊C₈	—	13	2	no	—
1018	C₂²⋊C₈	—	13	2	no	—
1019	C₂²⋊C₈	—	13	2	no	—
1020	C₂²⋊C₈	—	13	2	no	—
1021	C₂²⋊C₈	—	13	2	no	—
1022	C₂²⋊C₈	—	13	2	no	—
1023	C₂²⋊C₈	—	13	2	no	—
1024	C₂²⋊C₈	—	13	2	no	—
1025	C₂²⋊C₈	—	13	2	no	—
1026	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1027	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1028	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1029	#97	—	13	2	no	—
1030	#97	—	13	2	no	—
1031	#97	—	13	2	no	—
1032	#97	—	13	2	no	—
1033	#97	—	13	2	no	—
1034	#97	—	13	2	no	—
1035	#97	—	13	2	no	—
1036	#97	—	13	2	no	—
1037	#97	C₂²×D₁₃	1	2	yes	—
1038	#97	C₂²×D₁₃	1	2	yes	—
1039	C₄×C₈	—	13	2	no	—
1040	C₄×C₈	—	13	2	no	—
1041	C₄×C₈	—	13	2	no	—
1042	C₄×C₈	—	13	2	no	—
1043	C₄×C₈	—	13	2	no	—
1044	C₄×C₈	—	13	1	no	—
1045	C₄×C₈	—	13	1	no	—
1046	C₄×C₈	—	13	1	no	—
1047	C₄×C₈	—	13	1	no	—
1048	C₄×C₈	C₂²×D₁₃	1	2	yes	—
1049	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1050	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1051	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1052	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×C₁₃	—	4	1	no	—
1054	C₂×C₁₃	—	4	1	no	—
1055	C₂×C₁₃	—	4	1	no	—
1056	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1057	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1058	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1059	D₁₃	—	2	2	no	—
1060	D₁₃	—	4	1	no	—
1061	D₁₃	—	4	1	no	—
1062	D₁₃	—	4	1	no	—
1063	C₂⁴	—	13	1	no	—
1064	#41	—	4	2	no	—
1065	#41	—	26	4	no	—
1066	#41	—	26	4	no	—
1067	#41	—	52	2	no	—
1068	#41	—	52	2	no	—
1069	#41	—	52	2	no	—
1070	C₂×Q₈	—	13	1	no	—
1071	C₂×Q₈	—	13	1	no	—
1072	C₂×Q₈	—	13	1	no	—
1073	C₂×Q₈	—	13	1	no	—
1074	C₂×Q₈	—	13	1	no	—
1075	C₂×Q₈	C₂×C₄×D₁₃	1	1	yes	characteristic
1076	C₂×D₄	—	13	1	no	—
1077	C₂×D₄	—	13	1	no	—
1078	C₂×D₄	—	13	1	no	—
1079	C₂×D₄	—	13	1	no	—
1080	C₂×D₄	—	13	1	no	—
1081	C₂×D₄	—	13	1	no	—
1082	C₂×D₄	—	13	1	no	—
1083	C₂×D₄	—	13	1	no	—
1084	C₂×D₄	—	13	1	no	—
1085	C₂×D₄	—	13	1	no	—
1086	C₂×D₄	—	13	1	no	—
1087	C₂×D₄	—	13	1	no	—
1088	C₂×D₄	—	13	1	no	—
1089	C₂×D₄	—	13	1	no	—
1090	C₂×D₄	—	13	1	no	—
1091	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1092	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1093	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1094	C₂²×C₄	—	13	1	no	—
1095	C₂²×C₄	—	13	1	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	13	1	no	—
1099	C₂²×C₄	—	13	1	no	—
1100	C₂²×C₄	—	13	1	no	—
1101	C₂²×C₄	—	13	1	no	—
1102	C₂²×C₄	—	13	1	no	—
1103	C₂²×C₄	—	13	1	no	—
1104	C₂²×C₄	—	13	1	no	—
1105	C₂²×C₄	—	13	1	no	—
1106	C₂²×C₄	—	13	1	no	—
1107	C₂²×C₄	—	13	1	no	—
1108	C₂²×C₄	—	13	1	no	—
1109	C₂²×C₄	—	13	1	no	—
1110	C₂²×C₄	—	13	1	no	—
1111	C₂²×C₄	—	13	1	no	—
1112	C₂²×C₄	—	13	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	26	4	no	—
1116	C₂²×C₄	—	52	2	no	—
1117	C₂²×C₄	—	52	2	no	—
1118	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	M₁₆	—	2	4	no	—
1128	M₁₆	—	2	4	no	—
1129	M₁₆	—	26	4	no	—
1130	M₁₆	—	26	4	no	—
1131	M₁₆	—	26	4	no	—
1132	M₁₆	—	26	4	no	—
1133	M₁₆	—	26	4	no	—
1134	M₁₆	—	26	4	no	—
1135	M₁₆	—	26	4	no	—
1136	M₁₆	—	26	4	no	—
1137	C₂×C₈	—	2	4	no	—
1138	C₂×C₈	—	13	2	no	—
1139	C₂×C₈	—	13	8	no	—
1140	C₂×C₈	—	13	2	no	—
1141	C₂×C₈	—	13	2	no	—
1142	C₂×C₈	—	13	2	no	—
1143	C₂×C₈	—	26	4	no	—
1144	C₂×C₈	—	26	4	no	—
1145	C₂×C₈	—	26	4	no	—
1146	C₂×C₈	—	26	4	no	—
1147	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1148	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1149	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1150	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1151	C₄⋊C₄	—	13	1	no	—
1152	C₄⋊C₄	—	13	1	no	—
1153	C₄⋊C₄	—	13	1	no	—
1154	C₄⋊C₄	—	13	1	no	—
1155	C₄⋊C₄	—	13	1	no	—
1156	C₄⋊C₄	—	13	1	no	—
1157	C₄⋊C₄	—	13	1	no	—
1158	C₄⋊C₄	—	13	1	no	—
1159	C₄⋊C₄	—	13	1	no	—
1160	C₄⋊C₄	—	13	1	no	—
1161	C₄⋊C₄	—	13	1	no	—
1162	C₄⋊C₄	—	13	1	no	—
1163	C₄⋊C₄	—	13	1	no	—
1164	C₄⋊C₄	—	13	1	no	—
1165	C₄⋊C₄	—	13	1	no	—
1166	C₄⋊C₄	—	13	1	no	—
1167	C₄⋊C₄	—	13	1	no	—
1168	C₄⋊C₄	—	13	1	no	—
1169	C₄⋊C₄	—	13	1	no	—
1170	C₄⋊C₄	—	13	1	no	—
1171	C₄⋊C₄	—	13	1	no	—
1172	C₄⋊C₄	—	13	1	no	—
1173	C₄⋊C₄	—	13	1	no	—
1174	C₄⋊C₄	—	13	1	no	—
1175	C₄⋊C₄	—	13	1	no	—
1176	C₄⋊C₄	—	13	1	no	—
1177	C₄⋊C₄	—	13	1	no	—
1178	C₄⋊C₄	—	13	1	no	—
1179	C₄⋊C₄	—	13	1	no	—
1180	C₄⋊C₄	—	13	1	no	—
1181	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1182	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1185	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1186	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1187	C₂²⋊C₄	—	13	1	no	—
1188	C₂²⋊C₄	—	13	1	no	—
1189	C₂²⋊C₄	—	13	1	no	—
1190	C₂²⋊C₄	—	13	1	no	—
1191	C₂²⋊C₄	—	13	1	no	—
1192	C₂²⋊C₄	—	13	1	no	—
1193	C₂²⋊C₄	—	13	1	no	—
1194	C₂²⋊C₄	—	13	1	no	—
1195	C₂²⋊C₄	—	13	1	no	—
1196	C₂²⋊C₄	—	13	1	no	—
1197	C₂²⋊C₄	—	13	1	no	—
1198	C₂²⋊C₄	—	13	1	no	—
1199	C₂²⋊C₄	—	13	1	no	—
1200	C₂²⋊C₄	—	13	1	no	—
1201	C₂²⋊C₄	—	13	1	no	—
1202	C₂²⋊C₄	—	13	1	no	—
1203	C₂²⋊C₄	—	13	1	no	—
1204	C₂²⋊C₄	—	13	1	no	—
1205	C₂²⋊C₄	—	13	1	no	—
1206	C₂²⋊C₄	—	13	1	no	—
1207	C₂²⋊C₄	—	13	1	no	—
1208	C₂²⋊C₄	—	13	1	no	—
1209	C₂²⋊C₄	—	13	1	no	—
1210	C₂²⋊C₄	—	13	1	no	—
1211	C₂²⋊C₄	—	13	1	no	—
1212	C₂²⋊C₄	—	13	1	no	—
1213	C₂²⋊C₄	—	13	1	no	—
1214	C₂²⋊C₄	—	13	1	no	—
1215	C₂²⋊C₄	—	13	1	no	—
1216	C₂²⋊C₄	—	13	1	no	—
1217	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1218	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1219	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1220	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1223	C₄²	—	13	1	no	—
1224	C₄²	—	13	1	no	—
1225	C₄²	—	13	1	no	—
1226	C₄²	—	13	1	no	—
1227	C₄²	—	13	1	no	—
1228	C₄²	—	13	1	no	—
1229	C₄²	—	13	1	no	—
1230	C₄²	—	13	1	no	—
1231	C₄²	—	13	1	no	—
1232	C₄²	—	13	1	no	—
1233	C₄²	—	13	1	no	—
1234	C₄²	—	13	1	no	—
1235	C₄²	—	13	1	no	—
1236	C₄²	—	13	1	no	—
1237	C₄²	—	13	1	no	—
1238	C₄²	—	13	1	no	—
1239	C₄²	—	13	1	no	—
1240	C₄²	—	13	1	no	—
1241	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1242	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1243	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1244	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1245	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1246	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1247	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1248	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1249	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1250	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1251	C₁₃	#60205	1	1	yes	characteristic, complemented, Sylow
1252	C₂³	—	13	1	no	—
1253	C₂³	—	13	1	no	—
1254	C₂³	—	13	1	no	—
1255	C₂³	—	13	1	no	—
1256	C₂³	—	26	2	no	—
1257	C₂³	—	52	1	no	—
1258	C₂³	—	52	1	no	—
1259	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1260	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1261	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1262	Q₈	—	4	1	no	—
1263	Q₈	—	26	2	no	—
1264	Q₈	—	26	2	no	—
1265	Q₈	—	52	1	no	—
1266	Q₈	—	52	1	no	—
1267	Q₈	—	52	1	no	—
1268	D₄	—	4	1	no	—
1269	D₄	—	4	1	no	—
1270	D₄	—	4	1	no	—
1271	D₄	—	26	2	no	—
1272	D₄	—	26	2	no	—
1273	D₄	—	26	2	no	—
1274	D₄	—	26	2	no	—
1275	D₄	—	26	2	no	—
1276	D₄	—	26	2	no	—
1277	D₄	—	52	1	no	—
1278	D₄	—	52	1	no	—
1279	D₄	—	52	1	no	—
1280	D₄	—	52	1	no	—
1281	D₄	—	52	1	no	—
1282	D₄	—	52	1	no	—
1283	D₄	—	52	1	no	—
1284	D₄	—	52	1	no	—
1285	D₄	—	52	1	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	13	1	no	—
1296	C₂×C₄	—	13	4	no	—
1297	C₂×C₄	—	13	1	no	—
1298	C₂×C₄	—	13	1	no	—
1299	C₂×C₄	—	13	1	no	—
1300	C₂×C₄	—	13	1	no	—
1301	C₂×C₄	—	13	1	no	—
1302	C₂×C₄	—	13	1	no	—
1303	C₂×C₄	—	13	1	no	—
1304	C₂×C₄	—	13	1	no	—
1305	C₂×C₄	—	13	1	no	—
1306	C₂×C₄	—	13	1	no	—
1307	C₂×C₄	—	13	1	no	—
1308	C₂×C₄	—	26	2	no	—
1309	C₂×C₄	—	26	2	no	—
1310	C₂×C₄	—	26	2	no	—
1311	C₂×C₄	—	26	2	no	—
1312	C₂×C₄	—	26	2	no	—
1313	C₂×C₄	—	26	2	no	—
1314	C₂×C₄	—	26	2	no	—
1315	C₂×C₄	—	26	2	no	—
1316	C₂×C₄	—	26	2	no	—
1317	C₂×C₄	—	26	2	no	—
1318	C₂×C₄	—	26	2	no	—
1319	C₂×C₄	—	26	2	no	—
1320	C₂×C₄	—	26	2	no	—
1321	C₂×C₄	—	26	2	no	—
1322	C₂×C₄	—	52	1	no	—
1323	C₂×C₄	—	52	1	no	—
1324	C₂×C₄	—	52	1	no	—
1325	C₂×C₄	—	52	1	no	—
1326	C₂×C₄	—	52	1	no	—
1327	C₂×C₄	—	52	1	no	—
1328	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1329	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1330	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1335	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1336	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1337	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1338	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1339	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1340	C₈	—	2	2	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	2	2	no	—
1343	C₈	—	13	4	no	—
1344	C₈	—	26	2	no	—
1345	C₈	—	26	2	no	—
1346	C₈	—	26	2	no	—
1347	C₈	#41×D₁₃	1	4	yes	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	13	2	no	—
1358	C₂²	—	26	1	no	—
1359	C₂²	—	26	1	no	—
1360	C₂²	—	26	1	no	—
1361	C₂²	—	26	1	no	—
1362	C₂²	—	26	1	no	—
1363	C₂²	—	26	1	no	—
1364	C₂²	—	26	1	no	—
1365	C₂²	—	26	1	no	—
1366	C₂²	—	26	1	no	—
1367	C₂²	—	26	1	no	—
1368	C₂²	—	26	1	no	—
1369	C₂²	—	52	4	no	—
1370	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1371	C₄	—	2	1	no	—
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	13	2	no	—
1381	C₄	—	26	1	no	—
1382	C₄	—	26	1	no	—
1383	C₄	—	26	1	no	—
1384	C₄	—	26	1	no	—
1385	C₄	—	26	1	no	—
1386	C₄	—	26	1	no	—
1387	C₄	—	26	1	no	—
1388	C₄	—	26	1	no	—
1389	C₄	—	26	1	no	—
1390	C₄	—	26	1	no	—
1391	C₄	—	26	1	no	—
1392	C₄	#11719450	1	2	yes	—
1393	C₄	#11719455	1	2	yes	—
1394	C₄	C₂×#41×D₁₃	1	2	yes	—
1395	C₂	—	4	1	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	26	2	no	—
1399	C₂	—	52	1	no	—
1400	C₂	—	52	1	no	—
1401	C₂	—	52	1	no	—
1402	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1403	C₂	C₂×#11719455	1	1	yes	characteristic
1404	C₂	C₂×#11719450	1	1	yes	characteristic

	subgroup	G/H
center	C₄²	C₂³×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#2965	C₂
prime radical	#13128129	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2965	D₁₃
hypocenter	C₁₃	#60205
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₄² ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #13123822	C₂	semidirect
3. #13123820	C₂	semidirect
4. #13123818	C₂	semidirect
5. #13123815	C₂	semidirect
6. #13123803	C₂	semidirect
7. #13123802	C₂	semidirect
8. #13123800	C₂	semidirect
9. #13123800	C₂	semidirect
10. #13123798	C₂	semidirect
11. #13123798	C₂	semidirect
12. #13123797	C₂	semidirect
13. #13123772	C₂	semidirect
14. #13123550	C₂	semidirect
15. #13123536	C₂	semidirect
16. #13123534	C₂	semidirect
17. #13123475	C₂	semidirect
18. #13123475	C₂	semidirect
19. #13123464	C₂	semidirect
20. C₄×#88161	C₂	semidirect
21. C₄×#88155	C₂	semidirect
22. C₄×M₁₆×D₁₃	C₂	semidirect
23. C₁₃×#2965	C₂	semidirect
58. C₁₃×#446	C₂²	semidirect
61. C₁₃×#435	C₂²	semidirect
63. C₁₃×#431	C₂²	semidirect
64. C₁₃×#431	C₂²	semidirect
66. C₄×C₁₃×M₁₆	C₂²	semidirect
67. C₂×C₄×C₈×C₁₃	C₂²	semidirect
71. #11718788	C₂²	semidirect
72. #11718783	C₂²	semidirect
75. #11718772	C₂²	semidirect
76. #11718762	C₂²	semidirect
77. #11718685	C₂²	semidirect
80. #11718672	C₂²	semidirect
82. #11718586	C₂²	semidirect
83. #11718586	C₂²	semidirect
85. C₄×#6099	C₂²	semidirect
86. C₂×C₄×#1055	C₂²	semidirect
87. #11718501	C₂²	semidirect
88. #11718501	C₂²	semidirect
94. #11718497	C₂²	semidirect
96. #11718492	C₂²	semidirect
97. #11718489	C₂²	semidirect
98. #11718489	C₂²	semidirect
100. #11718391	C₂²	semidirect
104. #11718389	C₂²	semidirect
108. #11718381	C₂²	semidirect
109. #11718381	C₂²	semidirect
112. #11718369	C₂²	semidirect
115. #11718367	C₂²	semidirect
117. #11718362	C₂²	semidirect
118. #11718362	C₂²	semidirect
120. #11718350	C₂²	semidirect
126. C₄×#6094	C₂²	semidirect
127. C₄×#6094	C₂²	semidirect
130. #11718346	C₂²	semidirect
131. #11718346	C₂²	semidirect
132. #11718346	C₂²	semidirect
133. #11718346	C₂²	semidirect
136. C₄×C₈×D₁₃	C₂²	semidirect
137. C₄×C₈×D₁₃	C₂²	semidirect
138. #11718340	C₂²	semidirect
549. C₈×D₁₃	#41	semidirect
562. #2965	D₁₃	semidirect
710. #446	C₂×D₁₃	semidirect
734. #435	C₂×D₁₃	semidirect
751. #431	C₂×D₁₃	semidirect
752. #431	C₂×D₁₃	semidirect
776. C₄×M₁₆	C₂×D₁₃	semidirect
783. C₂×C₄×C₈	C₂×D₁₃	semidirect
1251. C₁₃	#60205	semidirect

Maximal subgroups

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

subgroup	index
#13128129	2
#13123822	2
#13123820	2
#13123818	2
#13123815	2
#13123803	2
#13123802	2
#13123800	2
#13123798	2
#13123797	2
#13123772	2
#13123550	2
#13123536	2
#13123534	2
#13123475	2
#13123464	2
C₄×#88161	2
C₄×#88155	2
C₄×M₁₆×D₁₃	2
C₁₃×#2965	2
#60205	13