Subgroups — #16035384

Order 3328.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13119719	C₂	1	1	yes	maximal, characteristic, complemented
2	#13119717	C₂	1	1	yes	maximal, characteristic, complemented
3	#13119636	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119634	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119441	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119351	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119257	C₂	1	1	yes	maximal, characteristic
8	#13119176	C₂	1	1	yes	maximal, characteristic
9	#13119058	C₂	1	1	yes	maximal, characteristic
10	#13119056	C₂	1	1	yes	maximal, characteristic
11	#13119005	C₂	1	1	yes	maximal, characteristic
12	#13119003	C₂	1	1	yes	maximal, characteristic
13	#13118694	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118611	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118434	C₂	1	1	yes	maximal, characteristic
16	#13118338	C₂	1	1	yes	maximal, characteristic
17	#13118144	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118143	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118137	C₂	1	1	yes	maximal, characteristic
20	#13118137	C₂	1	1	yes	maximal, characteristic
21	C₄×#88142	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88152	C₂	1	1	yes	maximal, characteristic
25	C₄×#88130	C₂	1	1	yes	maximal, characteristic
26	C₄×#88150	C₂	1	1	yes	maximal, characteristic
27	C₄×#88150	C₂	1	1	yes	maximal, characteristic
28	#13117312	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄²×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88146	C₂	1	1	yes	maximal, characteristic
31	C₄×C₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
33	C₂×#88152	C₂²	1	1	yes	characteristic
34	C₂×#88150	C₂²	1	1	yes	characteristic
35	C₂×#88150	C₂²	1	1	yes	characteristic
36	C₂×#88146	C₂²	1	1	yes	characteristic
37	C₂×#88146	C₂²	1	1	yes	characteristic
38	C₂×#88143	C₂²	1	1	yes	characteristic
39	C₂×#88143	C₂²	1	1	yes	characteristic
40	C₂×#88142	C₂²	1	1	yes	characteristic
41	C₂×#88130	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
47	C₁₃×#389	C₂²	1	1	yes	characteristic
48	C₁₃×#389	C₂²	1	1	yes	characteristic
49	C₁₃×#387	C₂²	1	1	yes	characteristic
50	C₁₃×#387	C₂²	1	1	yes	characteristic
51	C₁₃×#387	C₂²	1	1	yes	characteristic
52	C₁₃×#387	C₂²	1	1	yes	characteristic
53	C₁₃×#382	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	C₄³×C₁₃	C₂²	1	1	yes	characteristic
61	#11718655	C₂²	1	1	yes	characteristic
62	#11718655	C₂²	1	1	yes	characteristic
63	#11718654	C₂²	1	1	yes	characteristic
64	#11718654	C₂²	1	1	yes	characteristic
65	#11718651	C₂²	1	1	yes	characteristic
66	#11718650	C₂²	1	1	yes	characteristic
67	#11718650	C₂²	1	1	yes	characteristic
68	#11718647	C₂²	1	1	yes	characteristic
69	#11718647	C₂²	1	1	yes	characteristic
70	#11718647	C₂²	1	1	yes	characteristic
71	#11718647	C₂²	1	1	yes	characteristic
72	#11718646	C₂²	1	1	yes	characteristic
73	#11718645	C₂²	1	1	yes	characteristic
74	#11718645	C₂²	1	1	yes	characteristic
75	#11718645	C₂²	1	1	yes	characteristic
76	#11718644	C₂²	1	1	yes	characteristic
77	#11718643	C₂²	1	1	yes	characteristic
78	#11718643	C₂²	1	1	yes	characteristic
79	#11718643	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718642	C₂²	1	1	yes	characteristic
83	#11718642	C₂²	1	1	yes	characteristic
84	#11718642	C₂²	1	1	yes	characteristic
85	#11718641	C₂²	1	1	yes	characteristic
86	#11718639	C₂²	1	1	yes	characteristic
87	#11718639	C₂²	1	1	yes	characteristic
88	#11718639	C₂²	1	1	yes	characteristic
89	#11718639	C₂²	1	1	yes	characteristic
90	#11718639	C₂²	1	1	yes	characteristic
91	#11718637	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
94	#11718634	C₂²	1	1	yes	characteristic
95	#11718633	C₂²	1	1	yes	characteristic
96	#11718633	C₂²	1	1	yes	characteristic
97	#11718633	C₂²	1	1	yes	characteristic
98	#11718633	C₂²	1	1	yes	characteristic
99	#11718633	C₂²	1	1	yes	characteristic
100	#11718633	C₂²	1	1	yes	characteristic
101	#11718601	C₂²	1	1	yes	characteristic
102	#11718601	C₂²	1	1	yes	characteristic
103	#11718601	C₂²	1	1	yes	characteristic
104	C₄×#6103	C₂²	1	1	yes	characteristic
105	C₄×#6103	C₂²	1	1	yes	characteristic
106	C₄×#6103	C₂²	1	1	yes	characteristic
107	C₄×#6103	C₂²	1	1	yes	characteristic
108	C₄×#6103	C₂²	1	1	yes	characteristic
109	C₄×#6103	C₂²	1	1	yes	characteristic
110	#11718598	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
114	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
117	#11718594	C₂²	1	1	yes	characteristic
118	#11718594	C₂²	1	1	yes	characteristic
119	#11718594	C₂²	1	1	yes	characteristic
120	#11718593	C₂²	1	1	yes	characteristic
121	#11718593	C₂²	1	1	yes	characteristic
122	C₄×#6101	C₂²	1	1	yes	characteristic
123	C₄×#6101	C₂²	1	1	yes	characteristic
124	C₄×#6101	C₂²	1	1	yes	characteristic
125	C₄×#6101	C₂²	1	1	yes	characteristic
126	C₄×#6101	C₂²	1	1	yes	characteristic
127	C₄×#6101	C₂²	1	1	yes	characteristic
128	C₄×#6101	C₂²	1	1	yes	characteristic
129	C₄×#6101	C₂²	1	1	yes	characteristic
130	C₄×#6101	C₂²	1	1	yes	characteristic
131	C₄×#6101	C₂²	1	1	yes	characteristic
132	C₄×#6101	C₂²	1	1	yes	characteristic
133	C₄×#6101	C₂²	1	1	yes	characteristic
134	C₄×#6101	C₂²	1	1	yes	characteristic
135	C₄×#6101	C₂²	1	1	yes	characteristic
136	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
137	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
138	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
139	#11718336	C₂²	1	1	yes	characteristic
140	#11718336	C₂²	1	1	yes	characteristic
141	#11718335	C₂²	1	1	yes	characteristic
142	#11718335	C₂²	1	1	yes	characteristic
143	#11718331	C₂²	1	1	yes	characteristic
144	#11718330	C₂²	1	1	yes	characteristic
145	#11718329	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718328	C₂²	1	1	yes	characteristic
148	#11718328	C₂²	1	1	yes	characteristic
149	#11718327	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	C₁₃⋊#401	C₂²	1	1	yes	characteristic
152	C₁₃⋊#401	C₂²	1	1	yes	characteristic
153	#11718322	C₂²	1	1	yes	characteristic
154	#11718322	C₂²	1	1	yes	characteristic
155	#11718321	C₂²	1	1	yes	characteristic
156	#11718321	C₂²	1	1	yes	characteristic
157	#11718321	C₂²	1	1	yes	characteristic
158	#11718321	C₂²	1	1	yes	characteristic
159	#11718320	C₂²	1	1	yes	characteristic
160	#11718319	C₂²	1	1	yes	characteristic
161	#11718319	C₂²	1	1	yes	characteristic
162	#11718318	C₂²	1	1	yes	characteristic
163	#11718315	C₂²	1	1	yes	characteristic
164	#11718314	C₂²	1	1	yes	characteristic
165	#11718314	C₂²	1	1	yes	characteristic
166	#11718314	C₂²	1	1	yes	characteristic
167	#11718314	C₂²	1	1	yes	characteristic
168	#11718313	C₂²	1	1	yes	characteristic
169	#11718313	C₂²	1	1	yes	characteristic
170	#11718313	C₂²	1	1	yes	characteristic
171	#11718313	C₂²	1	1	yes	characteristic
172	#11718312	C₂²	1	1	yes	characteristic
173	#11718311	C₂²	1	1	yes	characteristic
174	#11718311	C₂²	1	1	yes	characteristic
175	#11718309	C₂²	1	1	yes	characteristic
176	#11718309	C₂²	1	1	yes	characteristic
177	#11718308	C₂²	1	1	yes	characteristic
178	#11718308	C₂²	1	1	yes	characteristic
179	#11718308	C₂²	1	1	yes	characteristic
180	#11718308	C₂²	1	1	yes	characteristic
181	#11718307	C₂²	1	1	yes	characteristic
182	#11718307	C₂²	1	1	yes	characteristic
183	#11718307	C₂²	1	1	yes	characteristic
184	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
192	C₁₃×#125	—	2	4	no	—
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×#6103	C₂³	1	1	yes	characteristic
217	C₂×#6103	C₂³	1	1	yes	characteristic
218	C₂×#6103	C₂³	1	1	yes	characteristic
219	C₂×#6103	C₂³	1	1	yes	characteristic
220	C₂×#6103	C₂³	1	1	yes	characteristic
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	C₂³	1	1	yes	characteristic
223	C₂×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×#6101	C₂³	1	1	yes	characteristic
239	C₂×#6101	C₂³	1	1	yes	characteristic
240	C₂×#6101	C₂³	1	1	yes	characteristic
241	C₂×#6101	C₂³	1	1	yes	characteristic
242	C₂×#6101	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	#88152	—	2	4	no	—
284	#88150	—	2	4	no	—
285	#88150	—	2	4	no	—
286	#88146	—	2	4	no	—
287	#88146	—	2	4	no	—
288	#88143	—	2	4	no	—
289	#88143	—	2	4	no	—
290	#88142	—	2	4	no	—
291	#88130	—	2	4	no	—
292	C₄²×D₁₃	—	2	4	no	—
293	C₄×Dic₂₆	—	2	4	no	—
294	C₄×Dic₂₆	—	2	4	no	—
295	C₄×Dic₂₆	—	2	4	no	—
296	C₄×Dic₂₆	—	2	4	no	—
297	C₁₃×#95	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	C₂³	1	1	yes	characteristic
303	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	#88071	C₂³	1	1	yes	characteristic
310	#88071	C₂³	1	1	yes	characteristic
311	#88071	C₂³	1	1	yes	characteristic
312	#88071	C₂³	1	1	yes	characteristic
313	#88071	C₂³	1	1	yes	characteristic
314	#88071	C₂³	1	1	yes	characteristic
315	#88071	C₂³	1	1	yes	characteristic
316	#88071	C₂³	1	1	yes	characteristic
317	#88071	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#34975	—	13	1	no	maximal, Sylow
358	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₄×D₁₃	—	2	2	no	—
390	C₂×C₄×D₁₃	—	2	2	no	—
391	C₂×C₄×D₁₃	—	2	2	no	—
392	C₂×C₄×D₁₃	—	2	2	no	—
393	C₂×C₄×D₁₃	—	2	2	no	—
394	C₂×C₄×D₁₃	—	2	2	no	—
395	C₂×C₄×D₁₃	—	2	2	no	—
396	C₂×C₄×D₁₃	—	2	2	no	—
397	C₂×C₄×D₁₃	—	2	2	no	—
398	C₂×Dic₂₆	—	2	2	no	—
399	C₂×Dic₂₆	—	2	2	no	—
400	C₂×Dic₂₆	—	2	2	no	—
401	C₂×Dic₂₆	—	2	2	no	—
402	C₂×Dic₂₆	—	2	2	no	—
403	C₂×Dic₂₆	#41	1	4	yes	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	#41	1	4	yes	—
416	C₄²×C₁₃	—	2	2	no	—
417	C₄²×C₁₃	—	2	2	no	—
418	C₄²×C₁₃	—	2	2	no	—
419	C₄²×C₁₃	—	2	2	no	—
420	C₄²×C₁₃	—	2	2	no	—
421	C₄²×C₁₃	—	2	2	no	—
422	C₄²×C₁₃	—	2	2	no	—
423	C₄²×C₁₃	—	2	2	no	—
424	C₄²×C₁₃	—	2	2	no	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	2	no	—
427	#6103	—	2	2	no	—
428	#6103	—	2	2	no	—
429	#6103	—	2	2	no	—
430	#6103	—	2	2	no	—
431	#6103	—	2	2	no	—
432	#6103	—	2	2	no	—
433	#6103	—	2	2	no	—
434	#6103	—	2	2	no	—
435	#6103	—	2	2	no	—
436	#6103	—	2	2	no	—
437	#6103	—	2	2	no	—
438	#6103	#41	1	4	yes	—
439	C₄⋊Dic₁₃	—	2	2	no	—
440	C₄⋊Dic₁₃	—	2	2	no	—
441	C₄⋊Dic₁₃	—	2	2	no	—
442	C₄⋊Dic₁₃	—	2	2	no	—
443	C₄⋊Dic₁₃	—	2	2	no	—
444	C₄⋊Dic₁₃	—	2	2	no	—
445	C₄⋊Dic₁₃	—	2	2	no	—
446	C₄⋊Dic₁₃	—	2	2	no	—
447	C₄⋊Dic₁₃	—	2	2	no	—
448	C₄⋊Dic₁₃	—	2	2	no	—
449	#6101	—	2	2	no	—
450	#6101	—	2	2	no	—
451	#6101	—	2	2	no	—
452	#6101	—	2	2	no	—
453	#6101	—	2	2	no	—
454	#6101	—	2	2	no	—
455	#6101	—	2	2	no	—
456	#6101	—	2	2	no	—
457	#6101	—	2	2	no	—
458	#6101	—	2	2	no	—
459	#6101	—	2	2	no	—
460	#6101	—	2	2	no	—
461	#6101	—	2	2	no	—
462	#6101	—	2	2	no	—
463	#6101	—	2	2	no	—
464	#6101	—	2	2	no	—
465	#6101	—	2	2	no	—
466	#6101	—	2	2	no	—
467	#6101	—	2	2	no	—
468	#6101	—	2	2	no	—
469	#6101	—	2	2	no	—
470	#6101	—	2	2	no	—
471	#6101	—	2	2	no	—
472	#6101	#41	1	4	yes	—
473	C₄×Dic₁₃	—	2	2	no	—
474	C₄×Dic₁₃	—	2	2	no	—
475	C₄×Dic₁₃	—	2	2	no	—
476	C₄×Dic₁₃	—	2	2	no	—
477	C₄×Dic₁₃	—	2	2	no	—
478	C₄×Dic₁₃	—	2	2	no	—
479	C₄×Dic₁₃	—	2	2	no	—
480	C₄×Dic₁₃	—	2	2	no	—
481	C₄×Dic₁₃	—	2	2	no	—
482	C₄×Dic₁₃	—	2	2	no	—
483	C₄×Dic₁₃	—	2	2	no	—
484	C₄×Dic₁₃	—	2	2	no	—
485	C₄×Dic₁₃	—	2	2	no	—
486	C₄×Dic₁₃	—	2	2	no	—
487	C₄×Dic₁₃	—	2	2	no	—
488	C₄×Dic₁₃	—	2	2	no	—
489	C₄×Dic₁₃	—	2	2	no	—
490	C₄×Dic₁₃	—	2	2	no	—
491	C₄×Dic₁₃	—	2	2	no	—
492	C₄×Dic₁₃	—	2	2	no	—
493	C₄×Dic₁₃	#41	1	4	yes	—
494	#2533	—	13	1	no	—
495	#2533	—	13	1	no	—
496	#2528	—	13	1	no	—
497	#2528	—	13	1	no	—
498	#2514	—	13	1	no	—
499	#2506	—	13	1	no	—
500	#2496	—	13	1	no	—
501	#2489	—	13	1	no	—
502	#2478	—	13	1	no	—
503	#2478	—	13	1	no	—
504	#2475	—	13	1	no	—
505	#2475	—	13	1	no	—
506	#2453	—	13	1	no	—
507	#2446	—	13	1	no	—
508	#2429	—	13	1	no	—
509	#2421	—	13	1	no	—
510	#2402	—	13	1	no	—
511	#2402	—	13	1	no	—
512	#2401	—	13	1	no	—
513	#2401	—	13	1	no	—
514	C₄×C₄⋊Q₈	—	13	1	no	—
515	C₄×#125	—	13	1	no	—
516	C₄×#125	—	13	1	no	—
517	C₄×#125	D₁₃	1	1	yes	characteristic, complemented
518	C₄×#126	—	13	1	no	—
519	C₄×#126	—	13	1	no	—
520	C₄×C₂²⋊Q₈	—	13	1	no	—
521	C₄×C₂²⋊Q₈	—	13	1	no	—
522	#2295	—	13	1	no	—
523	C₄²×Q₈	—	13	1	no	—
524	C₄×#117	—	13	1	no	—
525	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
526	C₂²×D₁₃	—	2	1	no	—
527	C₂²×D₁₃	—	2	1	no	—
528	C₂²×D₁₃	—	2	1	no	—
529	C₂²×D₁₃	—	2	1	no	—
530	C₂²×D₁₃	—	2	1	no	—
531	C₂²×D₁₃	—	2	1	no	—
532	C₂²×D₁₃	C₂×#41	1	2	yes	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
570	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
571	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
572	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
573	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
574	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
575	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
576	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
577	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
578	C₂×Dic₁₃	—	2	1	no	—
579	C₂×Dic₁₃	—	2	1	no	—
580	C₂×Dic₁₃	—	2	1	no	—
581	C₂×Dic₁₃	—	2	1	no	—
582	C₂×Dic₁₃	—	2	1	no	—
583	C₂×Dic₁₃	—	2	1	no	—
584	C₂×Dic₁₃	—	2	1	no	—
585	C₂×Dic₁₃	—	2	1	no	—
586	C₂×Dic₁₃	—	2	1	no	—
587	C₂×Dic₁₃	—	2	1	no	—
588	C₂×Dic₁₃	—	2	1	no	—
589	C₂×Dic₁₃	—	2	1	no	—
590	C₂×Dic₁₃	—	2	1	no	—
591	C₂×Dic₁₃	—	2	1	no	—
592	C₂×Dic₁₃	—	2	1	no	—
593	C₂×Dic₁₃	—	2	1	no	—
594	C₂×Dic₁₃	—	2	1	no	—
595	C₂×Dic₁₃	—	2	1	no	—
596	C₂×Dic₁₃	—	2	1	no	—
597	C₂×Dic₁₃	—	2	1	no	—
598	C₂×Dic₁₃	—	2	1	no	—
599	C₂×Dic₁₃	—	2	1	no	—
600	C₂×Dic₁₃	—	2	1	no	—
601	C₂×Dic₁₃	—	2	1	no	—
602	C₂×Dic₁₃	—	2	1	no	—
603	C₂×Dic₁₃	—	2	1	no	—
604	C₂×Dic₁₃	—	2	1	no	—
605	C₂×Dic₁₃	—	2	1	no	—
606	C₂×Dic₁₃	—	2	1	no	—
607	C₂×Dic₁₃	—	2	1	no	—
608	C₂×Dic₁₃	—	2	1	no	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	C₂×#41	1	2	yes	—
617	C₂×Dic₁₃	C₂×#41	1	2	yes	—
618	C₂×Dic₁₃	C₂×#41	1	2	yes	—
619	C₂×Dic₁₃	C₂×#41	1	2	yes	—
620	C₂×Dic₁₃	C₂×#41	1	2	yes	—
621	C₂×Dic₁₃	C₂×#41	1	2	yes	—
622	C₂×Dic₁₃	C₂×#41	1	2	yes	—
623	C₄×D₁₃	—	2	8	no	—
624	C₄×D₁₃	—	4	4	no	—
625	C₄×D₁₃	—	4	4	no	—
626	Dic₂₆	—	2	8	no	—
627	Dic₂₆	—	4	4	no	—
628	C₂×C₄⋊Q₈	—	13	1	no	—
629	C₂×#126	—	13	1	no	—
630	C₂×#126	—	13	1	no	—
631	C₂×#125	—	13	1	no	—
632	C₂×#125	—	13	1	no	—
633	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
634	C₂×C₂²⋊Q₈	—	13	1	no	—
635	C₂×C₂²⋊Q₈	—	13	1	no	—
636	C₂×C₄×Q₈	—	13	1	no	—
637	C₂×C₄×Q₈	—	13	1	no	—
638	C₂×C₄×Q₈	—	13	1	no	—
639	C₂×C₄×Q₈	—	13	1	no	—
640	C₂×#117	—	13	1	no	—
641	C₂×#117	—	13	1	no	—
642	C₂²×C₄²	—	13	1	no	—
643	#401	—	13	1	no	—
644	#401	—	13	1	no	—
645	#400	—	13	1	no	—
646	#400	—	13	1	no	—
647	#400	—	13	1	no	—
648	#400	—	13	1	no	—
649	#400	—	13	1	no	—
650	#400	—	13	1	no	—
651	#400	—	13	1	no	—
652	#400	—	13	1	no	—
653	#400	—	13	1	no	—
654	#400	—	13	1	no	—
655	#400	—	13	1	no	—
656	#400	—	13	1	no	—
657	#400	—	13	1	no	—
658	#400	—	13	1	no	—
659	#398	—	13	1	no	—
660	#398	—	13	1	no	—
661	#398	—	13	1	no	—
662	#398	—	13	1	no	—
663	#398	—	13	1	no	—
664	#398	—	13	1	no	—
665	#398	—	13	1	no	—
666	#398	—	13	1	no	—
667	#397	—	13	1	no	—
668	#397	—	13	1	no	—
669	#397	—	13	1	no	—
670	#397	—	13	1	no	—
671	#397	—	13	1	no	—
672	#397	—	13	1	no	—
673	#396	—	13	1	no	—
674	#396	—	13	1	no	—
675	#391	—	13	1	no	—
676	#391	—	13	1	no	—
677	#391	—	13	1	no	—
678	#391	—	13	1	no	—
679	#391	—	13	1	no	—
680	#391	—	13	1	no	—
681	#389	—	13	1	no	—
682	#389	—	13	1	no	—
683	#389	—	13	1	no	—
684	#389	—	13	1	no	—
685	#389	—	13	1	no	—
686	#389	—	13	1	no	—
687	#389	—	13	1	no	—
688	#389	—	13	1	no	—
689	#389	—	13	1	no	—
690	#389	—	13	1	no	—
691	#389	—	13	1	no	—
692	#389	—	13	1	no	—
693	#389	C₂×D₁₃	1	1	yes	characteristic
694	#389	C₂×D₁₃	1	1	yes	characteristic
695	#388	—	13	1	no	—
696	#388	—	13	1	no	—
697	#388	—	13	1	no	—
698	#388	—	13	1	no	—
699	#388	—	13	1	no	—
700	#388	—	13	1	no	—
701	#387	—	13	1	no	—
702	#387	—	13	1	no	—
703	#387	—	13	1	no	—
704	#387	—	13	1	no	—
705	#387	—	13	1	no	—
706	#387	—	13	1	no	—
707	#387	—	13	1	no	—
708	#387	—	13	1	no	—
709	#387	—	13	1	no	—
710	#387	—	13	1	no	—
711	#387	—	13	1	no	—
712	#387	—	13	1	no	—
713	#387	—	13	1	no	—
714	#387	—	13	1	no	—
715	#387	—	13	1	no	—
716	#387	—	13	1	no	—
717	#387	—	13	1	no	—
718	#387	—	13	1	no	—
719	#387	—	13	1	no	—
720	#387	—	13	1	no	—
721	#387	—	13	1	no	—
722	#387	—	13	1	no	—
723	#387	C₂×D₁₃	1	1	yes	characteristic
724	#387	C₂×D₁₃	1	1	yes	characteristic
725	#387	C₂×D₁₃	1	1	yes	characteristic
726	#387	C₂×D₁₃	1	1	yes	characteristic
727	#385	—	13	1	no	—
728	#385	—	13	1	no	—
729	#385	—	13	1	no	—
730	#385	—	13	1	no	—
731	#384	—	13	1	no	—
732	#383	—	13	1	no	—
733	#383	—	13	1	no	—
734	#382	—	13	1	no	—
735	#382	—	13	1	no	—
736	#382	C₂×D₁₃	1	1	yes	characteristic
737	#380	—	13	1	no	—
738	#380	—	13	1	no	—
739	C₄×C₄⋊C₄	—	13	1	no	—
740	C₄×C₄⋊C₄	—	13	1	no	—
741	C₄×C₄⋊C₄	—	13	1	no	—
742	C₄×C₄⋊C₄	—	13	1	no	—
743	C₄×C₄⋊C₄	—	13	1	no	—
744	C₄×C₄⋊C₄	—	13	1	no	—
745	C₄×C₄⋊C₄	—	13	1	no	—
746	C₄×C₄⋊C₄	—	13	1	no	—
747	C₄×C₄⋊C₄	—	13	1	no	—
748	C₄×C₄⋊C₄	—	13	1	no	—
749	C₄×C₄⋊C₄	—	13	1	no	—
750	C₄×C₄⋊C₄	—	13	1	no	—
751	C₄×C₄⋊C₄	—	13	1	no	—
752	C₄×C₄⋊C₄	—	13	1	no	—
753	C₄×C₄⋊C₄	—	13	1	no	—
754	C₄×C₄⋊C₄	—	13	1	no	—
755	C₄×C₄⋊C₄	—	13	1	no	—
756	C₄×C₄⋊C₄	—	13	1	no	—
757	C₄×C₄⋊C₄	—	13	1	no	—
758	C₄×C₄⋊C₄	—	13	1	no	—
759	C₄×C₄⋊C₄	—	13	1	no	—
760	C₄×C₄⋊C₄	—	13	1	no	—
761	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
762	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
763	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
764	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
765	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
766	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
767	C₄×C₂²⋊C₄	—	13	1	no	—
768	C₄×C₂²⋊C₄	—	13	1	no	—
769	C₄×C₂²⋊C₄	—	13	1	no	—
770	C₄×C₂²⋊C₄	—	13	1	no	—
771	C₄×C₂²⋊C₄	—	13	1	no	—
772	C₄×C₂²⋊C₄	—	13	1	no	—
773	C₄×C₂²⋊C₄	—	13	1	no	—
774	C₄×C₂²⋊C₄	—	13	1	no	—
775	#376	—	13	1	no	—
776	#376	—	13	1	no	—
777	#376	—	13	1	no	—
778	#376	—	13	1	no	—
779	C₄³	—	13	1	no	—
780	C₄³	—	13	1	no	—
781	C₄³	—	13	1	no	—
782	C₄³	C₂×D₁₃	1	1	yes	characteristic
783	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
784	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
785	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
786	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
787	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
788	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
789	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
790	C₂×D₁₃	—	2	2	no	—
791	C₂×D₁₃	—	2	2	no	—
792	C₂×D₁₃	—	2	2	no	—
793	C₂×D₁₃	—	4	1	no	—
794	C₂×D₁₃	—	4	1	no	—
795	C₂×D₁₃	—	4	1	no	—
796	C₂×D₁₃	—	4	1	no	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	2	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	4	1	no	—
804	C₄×C₁₃	—	4	1	no	—
805	C₄×C₁₃	—	4	1	no	—
806	C₄×C₁₃	—	4	1	no	—
807	C₄×C₁₃	—	4	1	no	—
808	C₄×C₁₃	—	4	1	no	—
809	C₄×C₁₃	—	4	1	no	—
810	C₄×C₁₃	—	4	1	no	—
811	C₄×C₁₃	#541	1	4	yes	—
812	Dic₁₃	—	2	2	no	—
813	Dic₁₃	—	2	2	no	—
814	Dic₁₃	—	2	2	no	—
815	Dic₁₃	—	2	2	no	—
816	Dic₁₃	—	4	1	no	—
817	Dic₁₃	—	4	1	no	—
818	Dic₁₃	—	4	1	no	—
819	Dic₁₃	—	4	1	no	—
820	Dic₁₃	—	4	1	no	—
821	Dic₁₃	—	4	1	no	—
822	Dic₁₃	—	4	1	no	—
823	Dic₁₃	—	4	1	no	—
824	Dic₁₃	—	4	1	no	—
825	Dic₁₃	—	4	1	no	—
826	Dic₁₃	#529	1	4	yes	—
827	C₂²×Q₈	—	13	1	no	—
828	C₂²×Q₈	—	13	1	no	—
829	C₂³×C₄	—	13	1	no	—
830	C₂³×C₄	—	13	1	no	—
831	C₂³×C₄	—	13	1	no	—
832	C₄⋊Q₈	—	26	4	no	—
833	#126	—	26	4	no	—
834	#126	—	26	4	no	—
835	#125	—	2	4	no	—
836	#125	—	26	4	no	—
837	#125	—	26	4	no	—
838	C₂²⋊Q₈	—	26	4	no	—
839	C₂²⋊Q₈	—	26	4	no	—
840	C₄×Q₈	—	26	4	no	—
841	C₄×Q₈	—	26	4	no	—
842	C₄×Q₈	—	26	4	no	—
843	C₄×Q₈	—	26	4	no	—
844	#117	—	26	4	no	—
845	#117	—	26	4	no	—
846	C₂×C₄⋊C₄	—	13	1	no	—
847	C₂×C₄⋊C₄	—	13	1	no	—
848	C₂×C₄⋊C₄	—	13	1	no	—
849	C₂×C₄⋊C₄	—	13	1	no	—
850	C₂×C₄⋊C₄	—	13	1	no	—
851	C₂×C₄⋊C₄	—	13	1	no	—
852	C₂×C₄⋊C₄	—	13	1	no	—
853	C₂×C₄⋊C₄	—	13	1	no	—
854	C₂×C₄⋊C₄	—	13	1	no	—
855	C₂×C₄⋊C₄	—	13	1	no	—
856	C₂×C₄⋊C₄	—	13	1	no	—
857	C₂×C₄⋊C₄	—	13	1	no	—
858	C₂×C₄⋊C₄	—	13	1	no	—
859	C₂×C₄⋊C₄	—	13	1	no	—
860	C₂×C₄⋊C₄	—	13	1	no	—
861	C₂×C₄⋊C₄	—	13	1	no	—
862	C₂×C₄⋊C₄	—	13	1	no	—
863	C₂×C₄⋊C₄	—	13	1	no	—
864	C₂×C₄⋊C₄	—	13	1	no	—
865	C₂×C₄⋊C₄	—	13	1	no	—
866	C₂×C₄⋊C₄	—	13	1	no	—
867	C₂×C₄⋊C₄	—	13	1	no	—
868	C₂×C₄⋊C₄	—	13	1	no	—
869	C₂×C₄⋊C₄	—	13	1	no	—
870	C₂×C₄⋊C₄	—	13	1	no	—
871	C₂×C₄⋊C₄	—	13	1	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	1	no	—
874	C₂×C₄⋊C₄	—	13	1	no	—
875	C₂×C₄⋊C₄	—	13	1	no	—
876	C₂×C₄⋊C₄	—	13	1	no	—
877	C₂×C₄⋊C₄	—	13	1	no	—
878	C₂×C₄⋊C₄	—	13	1	no	—
879	C₂×C₄⋊C₄	—	13	1	no	—
880	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	—	13	1	no	—
893	C₂×C₂²⋊C₄	—	13	1	no	—
894	C₂×C₂²⋊C₄	—	13	1	no	—
895	C₂×C₂²⋊C₄	—	13	1	no	—
896	C₂×C₂²⋊C₄	—	13	1	no	—
897	C₂×C₂²⋊C₄	—	13	1	no	—
898	C₂×C₂²⋊C₄	—	13	1	no	—
899	C₂×C₂²⋊C₄	—	13	1	no	—
900	C₂×C₂²⋊C₄	—	13	1	no	—
901	C₂×C₂²⋊C₄	—	13	1	no	—
902	C₂×C₂²⋊C₄	—	13	1	no	—
903	C₂×C₂²⋊C₄	—	13	1	no	—
904	C₂×C₄²	—	13	1	no	—
905	C₂×C₄²	—	13	1	no	—
906	C₂×C₄²	—	13	1	no	—
907	C₂×C₄²	—	13	1	no	—
908	C₂×C₄²	—	13	1	no	—
909	C₂×C₄²	—	13	1	no	—
910	C₂×C₄²	—	13	1	no	—
911	C₂×C₄²	—	13	1	no	—
912	C₂×C₄²	—	13	1	no	—
913	C₂×C₄²	—	13	1	no	—
914	C₂×C₄²	—	13	1	no	—
915	C₂×C₄²	—	13	1	no	—
916	C₂×C₄²	—	13	1	no	—
917	C₂×C₄²	—	13	1	no	—
918	C₂×C₄²	—	13	1	no	—
919	C₂×C₄²	—	13	1	no	—
920	C₂×C₄²	—	13	1	no	—
921	C₂×C₄²	—	13	1	no	—
922	C₂×C₄²	—	13	1	no	—
923	C₂×C₄²	—	13	1	no	—
924	C₂×C₄²	—	13	1	no	—
925	C₂×C₄²	—	26	4	no	—
926	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
927	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
928	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
929	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
930	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
931	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
933	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
935	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
937	#95	—	13	1	no	—
938	#95	—	13	1	no	—
939	#95	—	13	1	no	—
940	#95	—	13	1	no	—
941	#95	—	13	1	no	—
942	#95	—	13	1	no	—
943	#95	—	13	1	no	—
944	#95	—	13	1	no	—
945	#95	—	13	1	no	—
946	#95	—	13	1	no	—
947	#95	—	13	1	no	—
948	#95	—	13	1	no	—
949	#95	—	13	1	no	—
950	#95	—	13	1	no	—
951	#95	—	13	1	no	—
952	#95	—	13	1	no	—
953	#95	—	13	1	no	—
954	#95	—	13	1	no	—
955	#95	—	13	1	no	—
956	#95	—	13	1	no	—
957	#95	—	13	1	no	—
958	#95	—	13	1	no	—
959	#95	—	13	1	no	—
960	#95	—	13	1	no	—
961	#95	—	13	1	no	—
962	#95	—	13	1	no	—
963	#95	—	13	1	no	—
964	#95	—	13	1	no	—
965	#95	—	13	1	no	—
966	#95	—	13	1	no	—
967	#95	—	13	1	no	—
968	#95	—	13	1	no	—
969	#95	—	13	1	no	—
970	#95	—	13	1	no	—
971	#95	—	13	1	no	—
972	#95	—	13	1	no	—
973	#95	—	13	1	no	—
974	#95	—	13	1	no	—
975	#95	—	13	1	no	—
976	#95	—	13	1	no	—
977	#95	—	13	1	no	—
978	#95	—	13	1	no	—
979	#95	—	13	1	no	—
980	#95	—	13	1	no	—
981	#95	—	13	1	no	—
982	#95	—	13	1	no	—
983	#95	—	13	1	no	—
984	#95	—	13	1	no	—
985	#95	C₂²×D₁₃	1	1	yes	characteristic
986	#95	C₂²×D₁₃	1	1	yes	characteristic
987	#95	C₂²×D₁₃	1	1	yes	characteristic
988	#95	C₂²×D₁₃	1	1	yes	characteristic
989	#95	C₂²×D₁₃	1	1	yes	characteristic
990	#95	C₂²×D₁₃	1	1	yes	characteristic
991	#95	C₂²×D₁₃	1	1	yes	characteristic
992	#95	C₂²×D₁₃	1	1	yes	characteristic
993	#95	C₂²×D₁₃	1	1	yes	characteristic
994	#95	C₂²×D₁₃	1	1	yes	characteristic
995	#95	C₂²×D₁₃	1	1	yes	characteristic
996	#95	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
998	C₂×C₁₃	#3444	1	1	yes	characteristic
999	C₂×C₁₃	C₂×#541	1	1	yes	characteristic
1000	C₂×C₁₃	#3482	1	1	yes	characteristic
1001	C₂×C₁₃	#3482	1	1	yes	characteristic
1002	C₂×C₁₃	#3482	1	1	yes	characteristic
1003	C₂×C₁₃	#3482	1	1	yes	characteristic
1004	D₁₃	—	4	2	no	—
1005	C₂⁴	—	13	1	no	—
1006	C₂×Q₈	—	13	4	no	—
1007	C₂×Q₈	—	26	2	no	—
1008	C₂×Q₈	—	26	2	no	—
1009	C₂×Q₈	—	26	2	no	—
1010	C₂×Q₈	—	26	2	no	—
1011	C₂×Q₈	—	26	2	no	—
1012	C₂²×C₄	—	13	1	no	—
1013	C₂²×C₄	—	13	1	no	—
1014	C₂²×C₄	—	13	1	no	—
1015	C₂²×C₄	—	13	1	no	—
1016	C₂²×C₄	—	13	1	no	—
1017	C₂²×C₄	—	13	1	no	—
1018	C₂²×C₄	—	13	1	no	—
1019	C₂²×C₄	—	13	1	no	—
1020	C₂²×C₄	—	13	1	no	—
1021	C₂²×C₄	—	13	1	no	—
1022	C₂²×C₄	—	13	1	no	—
1023	C₂²×C₄	—	13	1	no	—
1024	C₂²×C₄	—	13	1	no	—
1025	C₂²×C₄	—	13	1	no	—
1026	C₂²×C₄	—	13	1	no	—
1027	C₂²×C₄	—	26	2	no	—
1028	C₂²×C₄	—	26	2	no	—
1029	C₂²×C₄	—	26	2	no	—
1030	C₂²×C₄	—	26	2	no	—
1031	C₂²×C₄	—	26	2	no	—
1032	C₂²×C₄	—	26	2	no	—
1033	C₂²×C₄	—	26	2	no	—
1034	C₂²×C₄	—	26	2	no	—
1035	C₂²×C₄	—	26	2	no	—
1036	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	13	4	no	—
1063	C₄⋊C₄	—	26	2	no	—
1064	C₄⋊C₄	—	26	2	no	—
1065	C₄⋊C₄	—	26	2	no	—
1066	C₄⋊C₄	—	26	2	no	—
1067	C₄⋊C₄	—	26	2	no	—
1068	C₄⋊C₄	—	26	2	no	—
1069	C₄⋊C₄	—	26	2	no	—
1070	C₄⋊C₄	—	26	2	no	—
1071	C₄⋊C₄	—	26	2	no	—
1072	C₄⋊C₄	—	26	2	no	—
1073	C₄⋊C₄	—	26	2	no	—
1074	C₄⋊C₄	—	26	2	no	—
1075	C₄⋊C₄	—	26	2	no	—
1076	C₄⋊C₄	—	26	2	no	—
1077	C₄⋊C₄	—	26	2	no	—
1078	C₄⋊C₄	—	26	2	no	—
1079	C₄⋊C₄	—	26	2	no	—
1080	C₄⋊C₄	—	26	2	no	—
1081	C₄⋊C₄	—	26	2	no	—
1082	C₄⋊C₄	—	26	2	no	—
1083	C₄⋊C₄	—	26	2	no	—
1084	C₄⋊C₄	—	26	2	no	—
1085	C₄⋊C₄	—	26	2	no	—
1086	C₄⋊C₄	—	26	2	no	—
1087	C₄⋊C₄	—	26	2	no	—
1088	C₄⋊C₄	—	26	2	no	—
1089	C₄⋊C₄	—	26	2	no	—
1090	C₄⋊C₄	—	26	2	no	—
1091	C₄⋊C₄	—	26	2	no	—
1092	C₄⋊C₄	—	26	2	no	—
1093	C₄⋊C₄	—	26	2	no	—
1094	C₄⋊C₄	—	26	2	no	—
1095	C₄⋊C₄	—	26	2	no	—
1096	C₄⋊C₄	#6127	1	4	yes	—
1097	C₂²⋊C₄	—	13	4	no	—
1098	C₂²⋊C₄	—	26	2	no	—
1099	C₂²⋊C₄	—	26	2	no	—
1100	C₂²⋊C₄	—	26	2	no	—
1101	C₂²⋊C₄	—	26	2	no	—
1102	C₂²⋊C₄	—	26	2	no	—
1103	C₂²⋊C₄	—	26	2	no	—
1104	C₂²⋊C₄	—	26	2	no	—
1105	C₂²⋊C₄	—	26	2	no	—
1106	C₂²⋊C₄	—	26	2	no	—
1107	C₂²⋊C₄	—	26	2	no	—
1108	C₂²⋊C₄	—	26	2	no	—
1109	C₄²	—	2	2	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	2	no	—
1113	C₄²	—	2	2	no	—
1114	C₄²	—	2	2	no	—
1115	C₄²	—	2	2	no	—
1116	C₄²	—	2	2	no	—
1117	C₄²	—	2	2	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	—	13	4	no	—
1121	C₄²	—	26	2	no	—
1122	C₄²	—	26	2	no	—
1123	C₄²	—	26	2	no	—
1124	C₄²	—	26	2	no	—
1125	C₄²	—	26	2	no	—
1126	C₄²	—	26	2	no	—
1127	C₄²	—	26	2	no	—
1128	C₄²	—	26	2	no	—
1129	C₄²	—	26	2	no	—
1130	C₄²	—	26	2	no	—
1131	C₄²	—	26	2	no	—
1132	C₄²	—	26	2	no	—
1133	C₄²	—	26	2	no	—
1134	C₄²	—	26	2	no	—
1135	C₄²	—	26	2	no	—
1136	C₄²	—	26	2	no	—
1137	C₄²	—	26	2	no	—
1138	C₄²	—	26	2	no	—
1139	C₄²	—	26	2	no	—
1140	C₄²	—	26	2	no	—
1141	C₁₃	#34975	1	1	yes	characteristic, complemented, Sylow
1142	C₂³	—	13	2	no	—
1143	C₂³	—	26	1	no	—
1144	C₂³	—	26	1	no	—
1145	C₂³	—	26	1	no	—
1146	C₂³	—	26	1	no	—
1147	C₂³	—	26	1	no	—
1148	C₂³	—	26	1	no	—
1149	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1150	Q₈	—	26	8	no	—
1151	Q₈	—	52	4	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	13	2	no	—
1189	C₂×C₄	—	13	2	no	—
1190	C₂×C₄	—	13	2	no	—
1191	C₂×C₄	—	13	2	no	—
1192	C₂×C₄	—	13	2	no	—
1193	C₂×C₄	—	13	2	no	—
1194	C₂×C₄	—	13	2	no	—
1195	C₂×C₄	—	26	8	no	—
1196	C₂×C₄	—	26	1	no	—
1197	C₂×C₄	—	26	1	no	—
1198	C₂×C₄	—	26	1	no	—
1199	C₂×C₄	—	26	1	no	—
1200	C₂×C₄	—	26	1	no	—
1201	C₂×C₄	—	26	1	no	—
1202	C₂×C₄	—	26	1	no	—
1203	C₂×C₄	—	26	1	no	—
1204	C₂×C₄	—	26	1	no	—
1205	C₂×C₄	—	26	1	no	—
1206	C₂×C₄	—	26	1	no	—
1207	C₂×C₄	—	26	1	no	—
1208	C₂×C₄	—	26	1	no	—
1209	C₂×C₄	—	26	1	no	—
1210	C₂×C₄	—	26	1	no	—
1211	C₂×C₄	—	26	1	no	—
1212	C₂×C₄	—	26	1	no	—
1213	C₂×C₄	—	26	1	no	—
1214	C₂×C₄	—	26	1	no	—
1215	C₂×C₄	—	26	1	no	—
1216	C₂×C₄	—	26	1	no	—
1217	C₂×C₄	—	26	1	no	—
1218	C₂×C₄	—	26	1	no	—
1219	C₂×C₄	—	26	1	no	—
1220	C₂×C₄	—	26	1	no	—
1221	C₂×C₄	—	26	1	no	—
1222	C₂×C₄	—	26	1	no	—
1223	C₂×C₄	—	26	1	no	—
1224	C₂×C₄	—	26	1	no	—
1225	C₂×C₄	—	26	1	no	—
1226	C₂×C₄	—	26	1	no	—
1227	C₂×C₄	—	26	1	no	—
1228	C₂×C₄	—	26	1	no	—
1229	C₂×C₄	—	26	1	no	—
1230	C₂×C₄	—	26	1	no	—
1231	C₂×C₄	—	26	1	no	—
1232	C₂×C₄	—	26	1	no	—
1233	C₂×C₄	—	26	1	no	—
1234	C₂×C₄	—	52	4	no	—
1235	C₂×C₄	—	52	4	no	—
1236	C₂×C₄	C₂×#6127	1	2	yes	—
1237	C₂×C₄	C₂×#6127	1	2	yes	—
1238	C₂×C₄	C₂×#6127	1	2	yes	—
1239	C₂×C₄	#88254	1	2	yes	—
1240	C₂×C₄	#41×D₁₃	1	2	yes	—
1241	C₂×C₄	#41×D₁₃	1	2	yes	—
1242	C₂×C₄	#41×D₁₃	1	2	yes	—
1243	C₂×C₄	#41×D₁₃	1	2	yes	—
1244	C₂×C₄	#88257	1	2	yes	—
1245	C₂²	—	26	2	no	—
1246	C₂²	—	26	2	no	—
1247	C₂²	—	26	2	no	—
1248	C₂²	—	52	1	no	—
1249	C₂²	—	52	1	no	—
1250	C₂²	—	52	1	no	—
1251	C₂²	—	52	1	no	—
1252	C₂²	C₂²×#6127	1	1	yes	characteristic
1253	C₂²	C₂×#88254	1	1	yes	characteristic
1254	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1255	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1256	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1257	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1258	C₂²	C₂×#88257	1	1	yes	characteristic
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	13	4	no	—
1274	C₄	—	26	2	no	—
1275	C₄	—	26	2	no	—
1276	C₄	—	26	2	no	—
1277	C₄	—	26	2	no	—
1278	C₄	—	52	1	no	—
1279	C₄	—	52	1	no	—
1280	C₄	—	52	1	no	—
1281	C₄	—	52	1	no	—
1282	C₄	—	52	1	no	—
1283	C₄	—	52	1	no	—
1284	C₄	—	52	1	no	—
1285	C₄	—	52	1	no	—
1286	C₄	—	52	1	no	—
1287	C₄	—	52	1	no	—
1288	C₄	#11719401	1	4	yes	—
1289	C₂	—	52	2	no	—
1290	C₂	D₁₃×#529	1	1	yes	characteristic
1291	C₂	#13128129	1	1	yes	characteristic
1292	C₂	C₂×#11719401	1	1	yes	characteristic
1293	C₂	#13128449	1	1	yes	characteristic
1294	C₂	#13128451	1	1	yes	characteristic
1295	C₂	#13128453	1	1	yes	characteristic
1296	C₂	#13128454	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×#125	C₂
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	C₄×#125	D₁₃
hypocenter	C₁₃	#34975
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#125

Complements

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

N	H ≅ G/N	type
1. #13119719	C₂	semidirect
2. #13119717	C₂	semidirect
3. #13119636	C₂	semidirect
4. #13119634	C₂	semidirect
5. #13119441	C₂	semidirect
6. #13119351	C₂	semidirect
13. #13118694	C₂	semidirect
14. #13118611	C₂	semidirect
17. #13118144	C₂	semidirect
18. #13118143	C₂	semidirect
21. C₄×#88142	C₂	semidirect
22. C₄×#88143	C₂	semidirect
23. C₄×#88143	C₂	semidirect
28. #13117312	C₂	semidirect
29. C₄²×Dic₂₆	C₂	semidirect
31. C₄×C₁₃×#125	C₂	semidirect
517. C₄×#125	D₁₃	semidirect
1141. C₁₃	#34975	semidirect

Maximal subgroups

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

subgroup	index
#13119719	2
#13119717	2
#13119636	2
#13119634	2
#13119441	2
#13119351	2
#13119257	2
#13119176	2
#13119058	2
#13119056	2
#13119005	2
#13119003	2
#13118694	2
#13118611	2
#13118434	2
#13118338	2
#13118144	2
#13118143	2
#13118137	2
C₄×#88142	2
C₄×#88143	2
C₄×#88152	2
C₄×#88130	2
C₄×#88150	2
#13117312	2
C₄²×Dic₂₆	2
C₄×#88146	2
C₄×C₁₃×#125	2
#34975	13