Subgroups — #16728060

Order 3328.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1428 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	#13123993	C₂	1	2	yes	maximal, complemented
3	#13123989	C₂	1	2	yes	maximal, complemented
4	#13123974	C₂	1	2	yes	maximal, complemented
5	#13123971	C₂	1	2	yes	maximal, complemented
6	#13123963	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123961	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123958	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123955	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123950	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123945	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123944	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123781	C₂	1	2	yes	maximal, complemented
14	#13123577	C₂	1	2	yes	maximal, complemented
15	#13123527	C₂	1	2	yes	maximal, complemented
16	#13123525	C₂	1	2	yes	maximal, complemented
17	#13123503	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123497	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123466	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123405	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123401	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	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×#88155	C₂²	1	2	yes	—
29	C₂²×C₈×D₁₃	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×#435	C₂²	1	2	yes	—
60	C₁₃×#435	C₂²	1	2	yes	complemented
61	C₈×D₄×C₁₃	C₂²	1	2	yes	—
62	C₁₃×#432	C₂²	1	1	yes	characteristic
63	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
68	#11718789	C₂²	1	2	yes	complemented
69	#11718788	C₂²	1	2	yes	—
70	#11718780	C₂²	1	2	yes	complemented
71	#11718772	C₂²	1	2	yes	—
72	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	—
73	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
75	#11718763	C₂²	1	2	yes	complemented
76	C₂×#88054	C₂²	1	2	yes	—
77	#11718685	C₂²	1	2	yes	complemented
78	#11718672	C₂²	1	2	yes	—
79	#11718672	C₂²	1	2	yes	complemented
80	D₄×#1055	C₂²	1	2	yes	—
81	#11718587	C₂²	1	1	yes	characteristic
82	#11718587	C₂²	1	1	yes	characteristic, complemented
83	#11718586	C₂²	1	1	yes	characteristic, complemented
84	#11718585	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
86	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
87	#11718500	C₂²	1	2	yes	—
88	#11718500	C₂²	1	2	yes	—
89	#11718500	C₂²	1	2	yes	complemented
90	#11718500	C₂²	1	2	yes	complemented
91	#11718498	C₂²	1	1	yes	characteristic
92	#11718498	C₂²	1	1	yes	characteristic
93	#11718498	C₂²	1	1	yes	characteristic, complemented
94	#11718498	C₂²	1	1	yes	characteristic, complemented
95	#11718497	C₂²	1	2	yes	—
96	#11718497	C₂²	1	2	yes	complemented
97	#11718496	C₂²	1	1	yes	characteristic, complemented
98	#11718496	C₂²	1	1	yes	characteristic, complemented
99	#11718495	C₂²	1	2	yes	—
100	#11718494	C₂²	1	1	yes	characteristic
101	#11718494	C₂²	1	1	yes	characteristic
102	#11718494	C₂²	1	1	yes	characteristic, complemented
103	#11718494	C₂²	1	1	yes	characteristic, complemented
104	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
105	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
106	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
107	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
108	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
109	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
110	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
111	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
112	#11718491	C₂²	1	2	yes	complemented
113	#11718489	C₂²	1	2	yes	complemented
114	#11718489	C₂²	1	2	yes	complemented
115	#11718391	C₂²	1	2	yes	—
116	#11718390	C₂²	1	2	yes	complemented
117	#11718389	C₂²	1	2	yes	—
118	#11718388	C₂²	1	2	yes	—
119	#11718388	C₂²	1	2	yes	—
120	#11718387	C₂²	1	2	yes	—
121	#11718386	C₂²	1	2	yes	—
122	#11718386	C₂²	1	2	yes	—
123	#11718386	C₂²	1	2	yes	complemented
124	#11718381	C₂²	1	2	yes	complemented
125	#11718381	C₂²	1	2	yes	complemented
126	#11718379	C₂²	1	2	yes	—
127	#11718370	C₂²	1	2	yes	complemented
128	#11718369	C₂²	1	2	yes	—
129	#11718368	C₂²	1	2	yes	—
130	#11718367	C₂²	1	2	yes	—
131	#11718367	C₂²	1	2	yes	complemented
132	#11718366	C₂²	1	2	yes	—
133	#11718362	C₂²	1	2	yes	complemented
134	#11718362	C₂²	1	2	yes	complemented
135	#11718351	C₂²	1	2	yes	complemented
136	#11718350	C₂²	1	2	yes	—
137	C₈×D₅₂	C₂²	1	2	yes	—
138	C₈×Dic₂₆	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	C₂²×C₈×C₁₃	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	C₂²×#1055	C₂³	1	2	yes	—
211	C₂²×#1055	C₂³	1	2	yes	—
212	#88161	—	4	4	no	—
213	#88155	—	4	4	no	—
214	C₂×#6094	C₂³	1	2	yes	—
215	C₂×#6094	C₂³	1	2	yes	—
216	C₂×#6094	C₂³	1	2	yes	—
217	C₂×#6094	C₂³	1	2	yes	—
218	C₂×C₈×D₁₃	—	4	4	no	—
219	C₂×C₈×D₁₃	C₂³	1	2	yes	—
220	C₂×C₈×D₁₃	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	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₃×#97	C₂³	1	2	yes	—
324	C₁₃×#97	C₂³	1	2	yes	—
325	C₄×C₈×C₁₃	C₂³	1	2	yes	—
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	#88054	C₂³	1	2	yes	—
338	#88054	C₂³	1	2	yes	—
339	#88054	C₂³	1	2	yes	—
340	#88054	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	C₄⋊#1055	C₂³	1	1	yes	characteristic
355	C₄⋊#1055	C₂³	1	1	yes	characteristic
356	C₄⋊#1055	C₂³	1	1	yes	characteristic
357	C₄⋊#1055	C₂³	1	1	yes	characteristic
358	#88043	C₂³	1	2	yes	—
359	#88043	C₂³	1	2	yes	—
360	C₄×#1055	C₂³	1	2	yes	—
361	#60265	—	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	—	2	2	no	—
393	#6127	—	2	2	no	—
394	#6127	—	2	2	no	—
395	#6127	—	2	2	no	—
396	#6127	—	4	2	no	—
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×D₅₂	C₂²×C₄	1	1	yes	characteristic
401	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₄×D₁₃	—	2	4	no	—
403	C₂×C₄×D₁₃	—	2	2	no	—
404	C₂×C₄×D₁₃	—	2	2	no	—
405	C₂×C₄×D₁₃	—	4	2	no	—
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	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
426	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
427	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
428	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
429	C₁₃×M₁₆	—	4	2	no	—
430	C₂×C₈×C₁₃	—	4	2	no	—
431	C₂×C₈×C₁₃	—	4	2	no	—
432	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
433	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
434	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
435	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₃×C₄⋊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	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
446	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
447	C₁₃×C₂²⋊C₄	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	C₂²×C₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₃	C₂⁴	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	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
466	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
467	C₂²⋊Dic₁₃	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	#6103	C₂²×C₄	1	1	yes	characteristic
486	#6103	C₂²×C₄	1	1	yes	characteristic
487	#6103	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	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₄⋊Dic₁₃	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	#6101	C₂²×C₄	1	1	yes	characteristic
516	#6101	C₂²×C₄	1	1	yes	characteristic
517	#6101	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	C₂²×C₄	1	1	yes	characteristic
530	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
531	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
532	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
533	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
534	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
535	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
536	#6099	—	4	2	no	—
537	C₂×#1055	—	4	2	no	—
538	C₂×#1055	—	4	2	no	—
539	C₂×#1055	C₂⁴	1	2	yes	—
540	C₂×#1055	C₂⁴	1	2	yes	—
541	C₂×#1055	C₂⁴	1	2	yes	—
542	C₂×#1055	C₂⁴	1	2	yes	—
543	#6094	—	2	4	no	—
544	#6094	—	2	4	no	—
545	#6094	—	4	2	no	—
546	#6094	—	4	2	no	—
547	C₈×D₁₃	—	2	4	no	—
548	C₈×D₁₃	—	2	4	no	—
549	C₈×D₁₃	—	4	2	no	—
550	C₈×D₁₃	—	4	2	no	—
551	C₈×D₁₃	—	4	2	no	—
552	C₈×D₁₃	—	4	2	no	—
553	#3444	—	13	1	no	—
554	#2994	—	13	2	no	—
555	#2994	—	13	2	no	—
556	#2992	—	13	2	no	—
557	#2992	—	13	2	no	—
558	#2990	—	13	1	no	—
559	#2990	—	13	1	no	—
560	#2990	—	13	1	no	—
561	#2990	D₁₃	1	1	yes	characteristic, complemented
562	#2989	—	13	1	no	—
563	#2989	—	13	1	no	—
564	#2988	—	13	1	no	—
565	#2988	—	13	1	no	—
566	#2962	—	13	2	no	—
567	#2935	—	13	2	no	—
568	#2929	—	13	2	no	—
569	#2929	—	13	2	no	—
570	#2925	—	13	1	no	—
571	#2925	—	13	1	no	—
572	#2920	—	13	1	no	—
573	#2906	—	13	1	no	—
574	#2906	—	13	1	no	—
575	C₂²×C₄⋊C₈	—	13	1	no	—
576	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
577	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
578	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
579	C₂²×D₁₃	—	2	2	no	—
580	C₂²×D₁₃	—	2	2	no	—
581	C₂²×D₁₃	—	2	2	no	—
582	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
583	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
584	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
585	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
586	Q₈×C₁₃	—	4	1	no	—
587	D₄×C₁₃	—	2	2	no	—
588	D₄×C₁₃	—	2	2	no	—
589	D₄×C₁₃	—	4	1	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	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	4	1	no	—
601	C₂×C₄×C₁₃	—	4	1	no	—
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	C₂³×C₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
609	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
610	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
611	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
612	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
614	C₂²⋊D₁₃	—	2	2	no	—
615	C₂²⋊D₁₃	—	2	2	no	—
616	C₂²⋊D₁₃	—	2	2	no	—
617	C₂²⋊D₁₃	—	2	2	no	—
618	C₂²⋊D₁₃	—	2	2	no	—
619	C₂²⋊D₁₃	—	2	2	no	—
620	C₂²⋊D₁₃	—	2	2	no	—
621	C₂²⋊D₁₃	—	2	2	no	—
622	C₂²⋊D₁₃	—	2	2	no	—
623	C₂²⋊D₁₃	—	2	2	no	—
624	C₂×Dic₁₃	—	2	2	no	—
625	C₂×Dic₁₃	—	2	2	no	—
626	C₂×Dic₁₃	—	2	2	no	—
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	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
634	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
635	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
636	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
637	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
638	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
639	D₅₂	—	2	2	no	—
640	D₅₂	—	2	2	no	—
641	D₅₂	—	2	2	no	—
642	D₅₂	—	2	2	no	—
643	D₅₂	—	4	1	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	1	no	—
650	C₄×D₁₃	—	2	1	no	—
651	C₄×D₁₃	—	2	1	no	—
652	C₄×D₁₃	—	2	1	no	—
653	C₄×D₁₃	—	2	1	no	—
654	C₄×D₁₃	—	2	1	no	—
655	C₄×D₁₃	—	2	2	no	—
656	C₄×D₁₃	—	2	2	no	—
657	C₄×D₁₃	—	4	1	no	—
658	C₄×D₁₃	—	4	1	no	—
659	C₄×D₁₃	—	4	1	no	—
660	C₄×D₁₃	—	4	1	no	—
661	C₄×D₁₃	—	4	1	no	—
662	C₄×D₁₃	—	4	1	no	—
663	C₄×D₁₃	#131	1	4	yes	complemented
664	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
665	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
666	Dic₂₆	—	2	2	no	—
667	Dic₂₆	—	2	2	no	—
668	Dic₂₆	—	2	2	no	—
669	Dic₂₆	—	2	2	no	—
670	Dic₂₆	—	4	1	no	—
671	C₈×C₁₃	—	2	2	no	—
672	C₈×C₁₃	—	2	2	no	—
673	C₈×C₁₃	—	2	2	no	—
674	C₈×C₁₃	—	2	2	no	—
675	#1055	—	2	2	no	—
676	#1055	—	2	2	no	—
677	#1055	—	2	2	no	—
678	#1055	—	2	2	no	—
679	C₂×#131	—	13	2	no	—
680	C₂×#131	—	13	2	no	—
681	C₂³×C₈	—	13	2	no	—
682	#533	—	13	1	no	—
683	#533	—	13	1	no	—
684	#533	—	13	1	no	—
685	#532	—	13	1	no	—
686	#532	—	13	1	no	—
687	#532	—	13	1	no	—
688	#529	—	13	1	no	—
689	#529	—	13	1	no	—
690	#529	—	13	1	no	—
691	#529	—	13	1	no	—
692	#529	—	13	1	no	—
693	#529	—	13	1	no	—
694	#529	—	13	1	no	—
695	#529	—	13	1	no	—
696	#529	—	13	1	no	—
697	#529	—	13	1	no	—
698	#529	—	13	1	no	—
699	#529	—	13	1	no	—
700	#525	—	13	1	no	—
701	#525	—	13	1	no	—
702	#525	—	13	1	no	—
703	#525	—	13	1	no	—
704	#525	—	13	1	no	—
705	#525	—	13	1	no	—
706	C₄×#41	—	13	1	no	—
707	C₄×#41	—	13	1	no	—
708	C₄×#41	—	13	1	no	—
709	C₄×#41	—	13	1	no	—
710	C₄×#41	—	13	1	no	—
711	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
712	C₂²×C₄²	—	13	1	no	—
713	#446	—	13	2	no	—
714	#446	—	13	2	no	—
715	#446	—	13	2	no	—
716	#446	—	13	2	no	—
717	#446	—	13	2	no	—
718	#446	C₂×D₁₃	1	2	yes	complemented
719	C₈×Q₈	—	13	2	no	—
720	C₈×Q₈	—	13	2	no	—
721	#436	—	13	2	no	—
722	#436	—	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	C₈×D₄	—	13	2	no	—
736	C₈×D₄	—	13	2	no	—
737	C₈×D₄	—	13	2	no	—
738	C₈×D₄	—	13	2	no	—
739	C₈×D₄	—	13	2	no	—
740	C₈×D₄	—	13	2	no	—
741	C₈×D₄	—	13	2	no	—
742	C₈×D₄	—	13	2	no	—
743	C₈×D₄	—	13	2	no	—
744	C₈×D₄	C₂×D₁₃	1	2	yes	—
745	#433	—	13	2	no	—
746	#433	—	13	2	no	—
747	#433	—	13	2	no	—
748	#433	—	13	2	no	—
749	#432	—	13	1	no	—
750	#432	—	13	1	no	—
751	#432	—	13	1	no	—
752	#432	—	13	1	no	—
753	#432	—	13	2	no	—
754	#432	C₂×D₁₃	1	1	yes	characteristic
755	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
756	#431	—	13	1	no	—
757	#431	—	13	1	no	—
758	#431	—	13	1	no	—
759	#431	—	13	1	no	—
760	#431	—	13	1	no	—
761	#431	—	13	2	no	—
762	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
763	#424	—	13	2	no	—
764	#424	—	13	2	no	—
765	#424	—	13	2	no	—
766	#424	—	13	2	no	—
767	#424	—	13	2	no	—
768	#424	—	13	2	no	—
769	#423	—	13	1	no	—
770	#423	—	13	1	no	—
771	#423	—	13	1	no	—
772	#423	—	13	1	no	—
773	#423	—	13	1	no	—
774	#423	C₂×D₁₃	1	1	yes	characteristic, complemented
775	C₂×C₄⋊C₈	—	13	2	no	—
776	C₂×C₄⋊C₈	—	13	1	no	—
777	C₂×C₄⋊C₈	—	13	1	no	—
778	C₂×C₄⋊C₈	—	13	1	no	—
779	C₂×C₄⋊C₈	—	13	1	no	—
780	C₂×C₄⋊C₈	—	13	2	no	—
781	C₂×C₄⋊C₈	—	13	1	no	—
782	C₂×C₄⋊C₈	—	13	1	no	—
783	C₂×C₄⋊C₈	—	13	2	no	—
784	C₂×C₄⋊C₈	—	13	1	no	—
785	C₂×C₄⋊C₈	—	13	1	no	—
786	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
787	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
788	#408	—	13	2	no	—
789	#408	—	13	2	no	—
790	#407	—	13	2	no	—
791	#405	—	13	2	no	—
792	#405	—	13	2	no	—
793	C₄×M₁₆	—	13	2	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	1	no	—
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	1	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	#568	1	2	yes	—
803	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
804	C₂×D₁₃	—	2	8	no	—
805	C₂×D₁₃	—	2	1	no	—
806	C₂×D₁₃	—	2	1	no	—
807	C₂×D₁₃	—	2	1	no	—
808	C₂×D₁₃	—	2	1	no	—
809	C₂×D₁₃	—	2	1	no	—
810	C₂×D₁₃	—	2	1	no	—
811	C₂×D₁₃	—	2	1	no	—
812	C₂×D₁₃	—	2	1	no	—
813	C₂×D₁₃	—	2	1	no	—
814	C₂×D₁₃	—	2	1	no	—
815	C₂×D₁₃	#520	1	2	yes	—
816	C₂×D₁₃	C₂×#131	1	2	yes	—
817	C₄×C₁₃	—	2	1	no	—
818	C₄×C₁₃	—	2	1	no	—
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	2	1	no	—
821	C₄×C₁₃	—	2	1	no	—
822	C₄×C₁₃	—	2	1	no	—
823	C₄×C₁₃	—	2	1	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	1	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	C₂×#131	1	2	yes	—
828	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
829	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
830	Dic₁₃	—	2	1	no	—
831	Dic₁₃	—	2	1	no	—
832	Dic₁₃	—	2	1	no	—
833	Dic₁₃	—	2	1	no	—
834	Dic₁₃	—	2	1	no	—
835	Dic₁₃	—	2	1	no	—
836	Dic₁₃	—	2	1	no	—
837	Dic₁₃	—	2	1	no	—
838	Dic₁₃	—	2	1	no	—
839	Dic₁₃	—	2	1	no	—
840	Dic₁₃	#520	1	2	yes	—
841	Dic₁₃	C₂×#131	1	2	yes	—
842	C₂×#41	—	13	1	no	—
843	C₂×#41	—	13	1	no	—
844	C₂×#41	—	13	1	no	—
845	C₂×#41	—	13	1	no	—
846	C₂×#41	—	13	1	no	—
847	C₂×#41	C₄×D₁₃	1	1	yes	characteristic
848	C₂³×C₄	—	13	1	no	—
849	C₂³×C₄	—	13	1	no	—
850	C₂³×C₄	—	13	1	no	—
851	#131	—	52	4	no	—
852	#131	—	52	4	no	—
853	C₂×M₁₆	—	13	2	no	—
854	C₂×M₁₆	—	13	2	no	—
855	C₂×M₁₆	—	13	2	no	—
856	C₂×M₁₆	—	13	2	no	—
857	C₂×M₁₆	—	13	2	no	—
858	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
859	C₂²×C₈	—	13	2	no	—
860	C₂²×C₈	—	13	2	no	—
861	C₂²×C₈	—	13	2	no	—
862	C₂²×C₈	—	13	2	no	—
863	C₂²×C₈	—	13	2	no	—
864	C₂²×C₈	—	13	2	no	—
865	C₂²×C₈	—	13	2	no	—
866	C₂²×C₈	—	13	2	no	—
867	C₂²×C₈	—	52	4	no	—
868	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
869	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
870	C₄⋊Q₈	—	13	1	no	—
871	C₄⋊Q₈	—	13	1	no	—
872	C₄⋊Q₈	—	13	1	no	—
873	#127	—	13	1	no	—
874	#126	—	13	1	no	—
875	#126	—	13	1	no	—
876	#126	—	13	1	no	—
877	#126	—	13	1	no	—
878	#126	—	13	1	no	—
879	#126	—	13	1	no	—
880	#126	—	13	1	no	—
881	#126	—	13	1	no	—
882	#125	—	13	1	no	—
883	#125	—	13	1	no	—
884	#125	—	13	1	no	—
885	#125	—	13	1	no	—
886	#125	—	13	1	no	—
887	#125	—	13	1	no	—
888	#124	—	13	1	no	—
889	#124	—	13	1	no	—
890	#124	—	13	1	no	—
891	#124	—	13	1	no	—
892	#124	—	13	1	no	—
893	#124	—	13	1	no	—
894	#123	—	13	1	no	—
895	#123	—	13	1	no	—
896	#123	—	13	1	no	—
897	#123	—	13	1	no	—
898	#123	—	13	1	no	—
899	#123	—	13	1	no	—
900	#123	—	13	1	no	—
901	#123	—	13	1	no	—
902	#123	—	13	1	no	—
903	#123	—	13	1	no	—
904	#123	—	13	1	no	—
905	#123	—	13	1	no	—
906	C₂²⋊Q₈	—	13	1	no	—
907	C₂²⋊Q₈	—	13	1	no	—
908	C₂²⋊Q₈	—	13	1	no	—
909	C₂²⋊Q₈	—	13	1	no	—
910	C₂²⋊Q₈	—	13	1	no	—
911	C₂²⋊Q₈	—	13	1	no	—
912	C₂²⋊Q₈	—	13	1	no	—
913	C₂²⋊Q₈	—	13	1	no	—
914	C₂²⋊Q₈	—	13	1	no	—
915	C₂²⋊Q₈	—	13	1	no	—
916	C₂²⋊Q₈	—	13	1	no	—
917	C₂²⋊Q₈	—	13	1	no	—
918	#121	—	13	1	no	—
919	#121	—	13	1	no	—
920	#121	—	13	1	no	—
921	#121	—	13	1	no	—
922	#121	—	13	1	no	—
923	#121	—	13	1	no	—
924	#121	—	13	1	no	—
925	#121	—	13	1	no	—
926	#121	—	13	1	no	—
927	#121	—	13	1	no	—
928	#121	—	13	1	no	—
929	#121	—	13	1	no	—
930	#120	—	13	1	no	—
931	#120	—	13	1	no	—
932	#120	—	13	1	no	—
933	#120	—	13	1	no	—
934	C₄×Q₈	—	13	1	no	—
935	C₄×Q₈	—	13	1	no	—
936	C₄×Q₈	—	13	1	no	—
937	C₄×Q₈	—	13	1	no	—
938	C₄×Q₈	—	13	1	no	—
939	C₄×Q₈	—	13	1	no	—
940	C₄×Q₈	—	13	1	no	—
941	C₄×Q₈	—	13	1	no	—
942	C₄×Q₈	—	13	1	no	—
943	C₄×Q₈	—	13	1	no	—
944	C₄×Q₈	C₄×D₁₃	1	1	yes	characteristic
945	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
966	C₄×D₄	—	13	1	no	—
967	C₄×D₄	—	13	1	no	—
968	C₄×D₄	—	13	1	no	—
969	C₄×D₄	—	13	1	no	—
970	C₄×D₄	—	13	1	no	—
971	C₄×D₄	—	13	1	no	—
972	C₄×D₄	—	13	1	no	—
973	C₄×D₄	—	13	1	no	—
974	C₄×D₄	—	13	1	no	—
975	C₄×D₄	—	13	1	no	—
976	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
977	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
978	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
979	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
982	#117	—	13	1	no	—
983	#117	—	13	1	no	—
984	#117	—	13	1	no	—
985	#117	—	13	1	no	—
986	#117	—	13	1	no	—
987	#117	—	13	1	no	—
988	#117	—	13	1	no	—
989	#117	—	13	1	no	—
990	#117	—	13	1	no	—
991	#117	—	13	1	no	—
992	#117	—	13	1	no	—
993	#117	—	13	1	no	—
994	#117	—	13	1	no	—
995	#117	—	13	1	no	—
996	#117	—	13	1	no	—
997	#117	C₄×D₁₃	1	1	yes	characteristic
998	#117	C₄×D₁₃	1	1	yes	characteristic
999	#117	C₄×D₁₃	1	1	yes	characteristic
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	13	1	no	—
1011	C₂×C₄²	—	13	1	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1016	C₄⋊C₈	—	13	2	no	—
1017	C₄⋊C₈	—	13	2	no	—
1018	C₄⋊C₈	—	13	2	no	—
1019	C₄⋊C₈	—	13	2	no	—
1020	C₄⋊C₈	—	13	2	no	—
1021	C₄⋊C₈	—	13	2	no	—
1022	C₄⋊C₈	—	13	2	no	—
1023	C₄⋊C₈	—	13	2	no	—
1024	C₄⋊C₈	—	13	2	no	—
1025	C₄⋊C₈	—	13	2	no	—
1026	C₄⋊C₈	—	13	1	no	—
1027	C₄⋊C₈	—	13	1	no	—
1028	C₄⋊C₈	—	13	2	no	—
1029	C₄⋊C₈	—	13	1	no	—
1030	C₄⋊C₈	—	13	2	no	—
1031	C₄⋊C₈	—	13	2	no	—
1032	C₄⋊C₈	—	13	1	no	—
1033	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1034	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1035	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1036	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1037	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1038	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1039	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1040	C₂²⋊C₈	—	13	2	no	—
1041	C₂²⋊C₈	—	13	2	no	—
1042	C₂²⋊C₈	—	13	2	no	—
1043	C₂²⋊C₈	—	13	2	no	—
1044	C₂²⋊C₈	—	13	2	no	—
1045	C₂²⋊C₈	—	13	2	no	—
1046	C₂²⋊C₈	—	13	2	no	—
1047	C₂²⋊C₈	—	13	2	no	—
1048	C₂²⋊C₈	—	13	2	no	—
1049	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1050	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1051	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1052	#97	—	13	2	no	—
1053	#97	—	13	2	no	—
1054	#97	—	13	2	no	—
1055	#97	—	13	2	no	—
1056	#97	C₂²×D₁₃	1	2	yes	—
1057	#97	C₂²×D₁₃	1	2	yes	—
1058	C₄×C₈	—	13	2	no	—
1059	C₄×C₈	—	13	2	no	—
1060	C₄×C₈	—	13	2	no	—
1061	C₄×C₈	—	13	2	no	—
1062	C₄×C₈	—	13	2	no	—
1063	C₄×C₈	C₂²×D₁₃	1	2	yes	—
1064	C₂×C₁₃	—	2	2	no	—
1065	C₂×C₁₃	—	4	1	no	—
1066	C₂×C₁₃	—	4	1	no	—
1067	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1068	C₂×C₁₃	C₂²×#131	1	1	yes	characteristic
1069	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1070	D₁₃	—	2	2	no	—
1071	D₁₃	—	2	2	no	—
1072	D₁₃	—	4	1	no	—
1073	D₁₃	—	4	1	no	—
1074	C₂⁴	—	13	1	no	—
1075	#41	—	4	2	no	—
1076	#41	—	26	2	no	—
1077	#41	—	26	2	no	—
1078	#41	—	26	4	no	—
1079	#41	—	26	4	no	—
1080	#41	—	26	2	no	—
1081	#41	—	26	2	no	—
1082	#41	—	52	2	no	—
1083	C₂×Q₈	—	13	1	no	—
1084	C₂×Q₈	—	13	1	no	—
1085	C₂×Q₈	—	13	1	no	—
1086	C₂×Q₈	—	13	1	no	—
1087	C₂×Q₈	—	13	1	no	—
1088	C₂×Q₈	C₂×C₄×D₁₃	1	1	yes	characteristic
1089	C₂×D₄	—	13	1	no	—
1090	C₂×D₄	—	13	1	no	—
1091	C₂×D₄	—	13	1	no	—
1092	C₂×D₄	—	13	1	no	—
1093	C₂×D₄	—	13	1	no	—
1094	C₂×D₄	—	13	1	no	—
1095	C₂×D₄	—	13	1	no	—
1096	C₂×D₄	—	13	1	no	—
1097	C₂×D₄	—	13	1	no	—
1098	C₂×D₄	—	13	1	no	—
1099	C₂×D₄	—	13	1	no	—
1100	C₂×D₄	—	13	1	no	—
1101	C₂×D₄	—	13	1	no	—
1102	C₂×D₄	—	13	1	no	—
1103	C₂×D₄	—	13	1	no	—
1104	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1105	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1106	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1116	C₂²×C₄	—	13	1	no	—
1117	C₂²×C₄	—	13	1	no	—
1118	C₂²×C₄	—	13	1	no	—
1119	C₂²×C₄	—	13	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	1	no	—
1127	C₂²×C₄	—	13	1	no	—
1128	C₂²×C₄	—	26	2	no	—
1129	C₂²×C₄	—	26	4	no	—
1130	C₂²×C₄	—	26	2	no	—
1131	C₂²×C₄	—	52	2	no	—
1132	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1141	M₁₆	—	4	2	no	—
1142	M₁₆	—	26	4	no	—
1143	M₁₆	—	26	4	no	—
1144	M₁₆	—	52	2	no	—
1145	M₁₆	—	52	2	no	—
1146	M₁₆	—	52	2	no	—
1147	C₂×C₈	—	4	2	no	—
1148	C₂×C₈	—	4	2	no	—
1149	C₂×C₈	—	13	2	no	—
1150	C₂×C₈	—	13	2	no	—
1151	C₂×C₈	—	13	2	no	—
1152	C₂×C₈	—	13	2	no	—
1153	C₂×C₈	—	26	4	no	—
1154	C₂×C₈	—	26	4	no	—
1155	C₂×C₈	—	52	2	no	—
1156	C₂×C₈	—	52	2	no	—
1157	C₂×C₈	—	52	2	no	—
1158	C₂×C₈	—	52	2	no	—
1159	C₂×C₈	—	52	2	no	—
1160	C₂×C₈	—	52	2	no	—
1161	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1162	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1163	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1164	C₂×C₈	C₂³×D₁₃	1	2	yes	—
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	—	13	1	no	—
1182	C₄⋊C₄	—	13	1	no	—
1183	C₄⋊C₄	—	13	1	no	—
1184	C₄⋊C₄	—	13	1	no	—
1185	C₄⋊C₄	—	13	1	no	—
1186	C₄⋊C₄	—	13	1	no	—
1187	C₄⋊C₄	—	13	1	no	—
1188	C₄⋊C₄	—	13	1	no	—
1189	C₄⋊C₄	—	13	1	no	—
1190	C₄⋊C₄	—	13	1	no	—
1191	C₄⋊C₄	—	13	1	no	—
1192	C₄⋊C₄	—	13	1	no	—
1193	C₄⋊C₄	—	13	1	no	—
1194	C₄⋊C₄	—	13	1	no	—
1195	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1197	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1200	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1218	C₂²⋊C₄	—	13	1	no	—
1219	C₂²⋊C₄	—	13	1	no	—
1220	C₂²⋊C₄	—	13	1	no	—
1221	C₂²⋊C₄	—	13	1	no	—
1222	C₂²⋊C₄	—	13	1	no	—
1223	C₂²⋊C₄	—	13	1	no	—
1224	C₂²⋊C₄	—	13	1	no	—
1225	C₂²⋊C₄	—	13	1	no	—
1226	C₂²⋊C₄	—	13	1	no	—
1227	C₂²⋊C₄	—	13	1	no	—
1228	C₂²⋊C₄	—	13	1	no	—
1229	C₂²⋊C₄	—	13	1	no	—
1230	C₂²⋊C₄	—	13	1	no	—
1231	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1236	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1237	C₄²	—	13	1	no	—
1238	C₄²	—	13	1	no	—
1239	C₄²	—	13	1	no	—
1240	C₄²	—	13	1	no	—
1241	C₄²	—	13	1	no	—
1242	C₄²	—	13	1	no	—
1243	C₄²	—	13	1	no	—
1244	C₄²	—	13	1	no	—
1245	C₄²	—	13	1	no	—
1246	C₄²	—	13	1	no	—
1247	C₄²	—	13	1	no	—
1248	C₄²	—	13	1	no	—
1249	C₄²	—	13	1	no	—
1250	C₄²	—	13	1	no	—
1251	C₄²	—	13	1	no	—
1252	C₄²	—	13	1	no	—
1253	C₄²	—	13	1	no	—
1254	C₄²	—	13	1	no	—
1255	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1256	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1257	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1258	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1259	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1260	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1261	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1262	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1263	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1264	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1265	C₁₃	#60265	1	1	yes	characteristic, complemented, Sylow
1266	C₂³	—	13	1	no	—
1267	C₂³	—	13	1	no	—
1268	C₂³	—	13	1	no	—
1269	C₂³	—	13	1	no	—
1270	C₂³	—	26	2	no	—
1271	C₂³	—	26	2	no	—
1272	C₂³	—	26	2	no	—
1273	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1274	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1275	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1276	Q₈	—	4	1	no	—
1277	Q₈	—	26	2	no	—
1278	Q₈	—	26	2	no	—
1279	Q₈	—	26	2	no	—
1280	Q₈	—	26	2	no	—
1281	Q₈	—	52	1	no	—
1282	D₄	—	2	2	no	—
1283	D₄	—	2	2	no	—
1284	D₄	—	4	1	no	—
1285	D₄	—	26	2	no	—
1286	D₄	—	26	2	no	—
1287	D₄	—	26	2	no	—
1288	D₄	—	26	2	no	—
1289	D₄	—	26	2	no	—
1290	D₄	—	26	2	no	—
1291	D₄	—	26	2	no	—
1292	D₄	—	26	2	no	—
1293	D₄	—	26	2	no	—
1294	D₄	—	26	2	no	—
1295	D₄	—	26	2	no	—
1296	D₄	—	26	2	no	—
1297	D₄	—	26	2	no	—
1298	D₄	—	26	2	no	—
1299	D₄	—	52	1	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	13	1	no	—
1313	C₂×C₄	—	13	1	no	—
1314	C₂×C₄	—	13	4	no	—
1315	C₂×C₄	—	13	2	no	—
1316	C₂×C₄	—	13	2	no	—
1317	C₂×C₄	—	13	1	no	—
1318	C₂×C₄	—	13	1	no	—
1319	C₂×C₄	—	13	1	no	—
1320	C₂×C₄	—	13	1	no	—
1321	C₂×C₄	—	13	1	no	—
1322	C₂×C₄	—	13	1	no	—
1323	C₂×C₄	—	13	1	no	—
1324	C₂×C₄	—	13	1	no	—
1325	C₂×C₄	—	13	1	no	—
1326	C₂×C₄	—	13	1	no	—
1327	C₂×C₄	—	26	2	no	—
1328	C₂×C₄	—	26	2	no	—
1329	C₂×C₄	—	26	2	no	—
1330	C₂×C₄	—	26	2	no	—
1331	C₂×C₄	—	26	2	no	—
1332	C₂×C₄	—	26	2	no	—
1333	C₂×C₄	—	26	2	no	—
1334	C₂×C₄	—	26	2	no	—
1335	C₂×C₄	—	26	2	no	—
1336	C₂×C₄	—	26	2	no	—
1337	C₂×C₄	—	26	1	no	—
1338	C₂×C₄	—	26	1	no	—
1339	C₂×C₄	—	26	1	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	52	1	no	—
1344	C₂×C₄	—	52	1	no	—
1345	C₂×C₄	—	52	1	no	—
1346	C₂×C₄	—	52	1	no	—
1347	C₂×C₄	—	52	1	no	—
1348	C₂×C₄	—	52	1	no	—
1349	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1353	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1354	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1356	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1357	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1358	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1359	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1360	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1361	C₈	—	2	2	no	—
1362	C₈	—	2	2	no	—
1363	C₈	—	2	2	no	—
1364	C₈	—	2	2	no	—
1365	C₈	—	26	2	no	—
1366	C₈	—	26	2	no	—
1367	C₈	—	26	2	no	—
1368	C₈	—	26	2	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	13	2	no	—
1378	C₂²	—	13	2	no	—
1379	C₂²	—	26	8	no	—
1380	C₂²	—	26	1	no	—
1381	C₂²	—	26	1	no	—
1382	C₂²	—	26	1	no	—
1383	C₂²	—	26	1	no	—
1384	C₂²	—	26	1	no	—
1385	C₂²	—	26	1	no	—
1386	C₂²	—	26	1	no	—
1387	C₂²	—	26	1	no	—
1388	C₂²	—	26	1	no	—
1389	C₂²	—	26	1	no	—
1390	C₂²	#11719450	1	2	yes	—
1391	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	13	2	no	—
1403	C₄	—	13	2	no	—
1404	C₄	—	26	1	no	—
1405	C₄	—	26	1	no	—
1406	C₄	—	26	1	no	—
1407	C₄	—	26	1	no	—
1408	C₄	—	26	1	no	—
1409	C₄	—	26	1	no	—
1410	C₄	—	26	1	no	—
1411	C₄	—	26	1	no	—
1412	C₄	—	26	1	no	—
1413	C₄	—	26	1	no	—
1414	C₄	D₁₃×#131	1	2	yes	—
1415	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	26	2	no	—
1421	C₂	—	26	2	no	—
1422	C₂	—	52	1	no	—
1423	C₂	—	52	1	no	—
1424	C₂	D₁₃×#520	1	1	yes	characteristic
1425	C₂	C₂×D₁₃×#131	1	1	yes	characteristic
1426	C₂	C₂×#11719450	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2990	C₂
prime radical	#13128129	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2990	D₁₃
hypocenter	C₁₃	#60265
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2990

Complements

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

N	H ≅ G/N	type
2. #13123993	C₂	semidirect
3. #13123989	C₂	semidirect
4. #13123974	C₂	semidirect
5. #13123971	C₂	semidirect
6. #13123963	C₂	semidirect
7. #13123961	C₂	semidirect
8. #13123958	C₂	semidirect
9. #13123955	C₂	semidirect
10. #13123950	C₂	semidirect
11. #13123945	C₂	semidirect
12. #13123944	C₂	semidirect
13. #13123781	C₂	semidirect
14. #13123577	C₂	semidirect
15. #13123527	C₂	semidirect
16. #13123525	C₂	semidirect
17. #13123503	C₂	semidirect
18. #13123497	C₂	semidirect
19. #13123466	C₂	semidirect
20. #13123405	C₂	semidirect
21. #13123401	C₂	semidirect
22. C₂×D₁₃×C₄⋊C₈	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
58. C₁₃×#446	C₂²	semidirect
60. C₁₃×#435	C₂²	semidirect
63. C₁₃×#432	C₂²	semidirect
64. C₁₃×#431	C₂²	semidirect
65. C₁₃×#423	C₂²	semidirect
67. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
68. #11718789	C₂²	semidirect
70. #11718780	C₂²	semidirect
74. C₈×C₂²⋊D₁₃	C₂²	semidirect
75. #11718763	C₂²	semidirect
77. #11718685	C₂²	semidirect
79. #11718672	C₂²	semidirect
82. #11718587	C₂²	semidirect
83. #11718586	C₂²	semidirect
84. #11718585	C₂²	semidirect
86. C₂×C₄⋊#1055	C₂²	semidirect
89. #11718500	C₂²	semidirect
90. #11718500	C₂²	semidirect
93. #11718498	C₂²	semidirect
94. #11718498	C₂²	semidirect
96. #11718497	C₂²	semidirect
97. #11718496	C₂²	semidirect
98. #11718496	C₂²	semidirect
102. #11718494	C₂²	semidirect
103. #11718494	C₂²	semidirect
110. D₁₃×C₄⋊C₈	C₂²	semidirect
111. D₁₃×C₄⋊C₈	C₂²	semidirect
112. #11718491	C₂²	semidirect
113. #11718489	C₂²	semidirect
114. #11718489	C₂²	semidirect
116. #11718390	C₂²	semidirect
123. #11718386	C₂²	semidirect
124. #11718381	C₂²	semidirect
125. #11718381	C₂²	semidirect
127. #11718370	C₂²	semidirect
131. #11718367	C₂²	semidirect
133. #11718362	C₂²	semidirect
134. #11718362	C₂²	semidirect
135. #11718351	C₂²	semidirect
138. C₈×Dic₂₆	C₂²	semidirect
561. #2990	D₁₃	semidirect
663. C₄×D₁₃	#131	semidirect
718. #446	C₂×D₁₃	semidirect
734. #435	C₂×D₁₃	semidirect
755. #432	C₂×D₁₃	semidirect
762. #431	C₂×D₁₃	semidirect
774. #423	C₂×D₁₃	semidirect
787. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1265. C₁₃	#60265	semidirect

Maximal subgroups

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

subgroup	index
#13128129	2
#13123993	2
#13123989	2
#13123974	2
#13123971	2
#13123963	2
#13123961	2
#13123958	2
#13123955	2
#13123950	2
#13123945	2
#13123944	2
#13123781	2
#13123577	2
#13123527	2
#13123525	2
#13123503	2
#13123497	2
#13123466	2
#13123405	2
#13123401	2
C₂×D₁₃×C₄⋊C₈	2
C₁₃×#2990	2
#60265	13