Subgroups — #16035082

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13120388	C₂	1	1	yes	maximal, characteristic, complemented
2	#13120350	C₂	1	1	yes	maximal, characteristic, complemented
3	#13120288	C₂	1	1	yes	maximal, characteristic, complemented
4	#13120250	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120173	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120135	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119968	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119930	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119391	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119330	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119083	C₂	1	1	yes	maximal, characteristic, complemented
12	#13118955	C₂	1	1	yes	maximal, characteristic, complemented
13	#13118663	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118587	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118367	C₂	1	1	yes	maximal, characteristic
16	#13118299	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118122	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118099	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118080	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88150	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88149	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#88149	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88136	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88136	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117280	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88147	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2401	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88152	C₂²	1	1	yes	characteristic
36	C₂×#88150	C₂²	1	1	yes	characteristic
37	C₂×#88149	C₂²	1	1	yes	characteristic
38	C₂×#88149	C₂²	1	1	yes	characteristic
39	C₂×#88147	C₂²	1	1	yes	characteristic
40	C₂×#88147	C₂²	1	1	yes	characteristic
41	C₂×#88139	C₂²	1	1	yes	characteristic
42	C₂×#88137	C₂²	1	1	yes	characteristic
43	C₂×#88136	C₂²	1	1	yes	characteristic
44	C₂×#88136	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
55	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#401	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#397	C₂²	1	1	yes	characteristic
62	C₁₃×#397	C₂²	1	1	yes	characteristic
63	C₁₃×#397	C₂²	1	1	yes	characteristic
64	C₁₃×#396	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
69	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
72	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
73	#11718654	C₂²	1	1	yes	characteristic, complemented
74	#11718653	C₂²	1	1	yes	characteristic
75	#11718652	C₂²	1	1	yes	characteristic
76	#11718651	C₂²	1	1	yes	characteristic
77	#11718650	C₂²	1	1	yes	characteristic
78	#11718649	C₂²	1	1	yes	characteristic
79	#11718649	C₂²	1	1	yes	characteristic, complemented
80	#11718648	C₂²	1	1	yes	characteristic
81	#11718648	C₂²	1	1	yes	characteristic, complemented
82	#11718646	C₂²	1	1	yes	characteristic, complemented
83	#11718646	C₂²	1	1	yes	characteristic, complemented
84	#11718645	C₂²	1	1	yes	characteristic, complemented
85	#11718642	C₂²	1	1	yes	characteristic, complemented
86	#11718642	C₂²	1	1	yes	characteristic, complemented
87	#11718639	C₂²	1	1	yes	characteristic, complemented
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
89	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
90	#11718633	C₂²	1	1	yes	characteristic, complemented
91	#11718621	C₂²	1	1	yes	characteristic
92	#11718620	C₂²	1	1	yes	characteristic
93	#11718620	C₂²	1	1	yes	characteristic
94	#11718619	C₂²	1	1	yes	characteristic
95	#11718619	C₂²	1	1	yes	characteristic
96	#11718618	C₂²	1	1	yes	characteristic
97	#11718617	C₂²	1	1	yes	characteristic
98	#11718616	C₂²	1	1	yes	characteristic
99	#11718616	C₂²	1	1	yes	characteristic
100	#11718612	C₂²	1	1	yes	characteristic
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718611	C₂²	1	1	yes	characteristic
103	#11718611	C₂²	1	1	yes	characteristic
104	#11718609	C₂²	1	1	yes	characteristic
105	#11718606	C₂²	1	1	yes	characteristic
106	#11718605	C₂²	1	1	yes	characteristic
107	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
108	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
109	C₄×#6103	C₂²	1	1	yes	characteristic
110	C₄×#6103	C₂²	1	1	yes	characteristic
111	C₄×#6103	C₂²	1	1	yes	characteristic
112	C₄×#6103	C₂²	1	1	yes	characteristic
113	C₄×#6103	C₂²	1	1	yes	characteristic
114	C₄×#6103	C₂²	1	1	yes	characteristic
115	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
116	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
118	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
121	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
122	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718337	C₂²	1	1	yes	characteristic, complemented
124	#11718336	C₂²	1	1	yes	characteristic
125	#11718336	C₂²	1	1	yes	characteristic, complemented
126	#11718336	C₂²	1	1	yes	characteristic, complemented
127	#11718335	C₂²	1	1	yes	characteristic
128	#11718335	C₂²	1	1	yes	characteristic, complemented
129	#11718334	C₂²	1	1	yes	characteristic
130	#11718334	C₂²	1	1	yes	characteristic, complemented
131	#11718333	C₂²	1	1	yes	characteristic
132	#11718333	C₂²	1	1	yes	characteristic
133	#11718333	C₂²	1	1	yes	characteristic
134	#11718333	C₂²	1	1	yes	characteristic, complemented
135	#11718331	C₂²	1	1	yes	characteristic
136	#11718331	C₂²	1	1	yes	characteristic
137	#11718331	C₂²	1	1	yes	characteristic, complemented
138	#11718331	C₂²	1	1	yes	characteristic, complemented
139	#11718331	C₂²	1	1	yes	characteristic, complemented
140	#11718331	C₂²	1	1	yes	characteristic, complemented
141	#11718331	C₂²	1	1	yes	characteristic, complemented
142	#11718331	C₂²	1	1	yes	characteristic, complemented
143	#11718330	C₂²	1	1	yes	characteristic
144	#11718330	C₂²	1	1	yes	characteristic, complemented
145	#11718329	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718329	C₂²	1	1	yes	characteristic
148	#11718329	C₂²	1	1	yes	characteristic
149	#11718329	C₂²	1	1	yes	characteristic
150	#11718329	C₂²	1	1	yes	characteristic
151	#11718329	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic, complemented
153	#11718328	C₂²	1	1	yes	characteristic
154	#11718327	C₂²	1	1	yes	characteristic
155	#11718327	C₂²	1	1	yes	characteristic
156	#11718327	C₂²	1	1	yes	characteristic
157	#11718327	C₂²	1	1	yes	characteristic
158	#11718327	C₂²	1	1	yes	characteristic, complemented
159	#11718327	C₂²	1	1	yes	characteristic, complemented
160	#11718326	C₂²	1	1	yes	characteristic
161	#11718326	C₂²	1	1	yes	characteristic
162	#11718326	C₂²	1	1	yes	characteristic
163	#11718326	C₂²	1	1	yes	characteristic
164	#11718326	C₂²	1	1	yes	characteristic
165	#11718326	C₂²	1	1	yes	characteristic
166	#11718326	C₂²	1	1	yes	characteristic
167	#11718326	C₂²	1	1	yes	characteristic
168	#11718326	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic, complemented
170	#11718325	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#95	C₂²	1	1	yes	characteristic
172	D₁₃×#95	C₂²	1	1	yes	characteristic
173	#11718321	C₂²	1	1	yes	characteristic, complemented
174	#11718320	C₂²	1	1	yes	characteristic, complemented
175	#11718320	C₂²	1	1	yes	characteristic, complemented
176	#11718318	C₂²	1	1	yes	characteristic, complemented
177	#11718315	C₂²	1	1	yes	characteristic, complemented
178	#11718315	C₂²	1	1	yes	characteristic, complemented
179	#11718314	C₂²	1	1	yes	characteristic, complemented
180	#11718314	C₂²	1	1	yes	characteristic, complemented
181	#11718313	C₂²	1	1	yes	characteristic, complemented
182	#11718313	C₂²	1	1	yes	characteristic, complemented
183	#11718312	C₂²	1	1	yes	characteristic, complemented
184	#11718311	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₅₂	C₂³	1	1	yes	characteristic
193	C₂²×D₅₂	C₂³	1	1	yes	characteristic
194	C₂²×D₅₂	C₂³	1	1	yes	characteristic
195	C₂²×D₅₂	C₂³	1	1	yes	characteristic
196	C₂²×D₅₂	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	—	2	4	no	—
198	C₂²×C₄×D₁₃	—	4	2	no	—
199	C₂²×C₄×D₁₃	—	4	2	no	—
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₄×C₂²⋊D₁₃	—	4	2	no	—
236	C₄×C₂²⋊D₁₃	—	4	2	no	—
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	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×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	#88152	—	2	4	no	—
304	#88150	—	2	4	no	—
305	#88149	—	2	4	no	—
306	#88149	—	2	4	no	—
307	#88147	—	2	4	no	—
308	#88147	—	2	4	no	—
309	#88139	—	2	4	no	—
310	#88137	—	2	4	no	—
311	#88136	—	2	4	no	—
312	#88136	—	2	4	no	—
313	C₂²⋊C₄×D₁₃	—	2	4	no	—
314	C₂²⋊C₄×D₁₃	—	2	4	no	—
315	C₄×D₅₂	—	2	4	no	—
316	C₄×D₅₂	—	2	4	no	—
317	C₄×D₅₂	—	4	2	no	—
318	C₄×D₅₂	—	4	2	no	—
319	C₄×D₅₂	—	4	2	no	—
320	#88126	—	4	2	no	—
321	C₄²×D₁₃	—	4	2	no	—
322	C₄²×D₁₃	—	4	2	no	—
323	C₄²×D₁₃	—	4	2	no	—
324	C₄×Dic₂₆	—	4	2	no	—
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	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	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#34959	—	13	1	no	maximal, Sylow
370	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₁₃	—	2	2	no	—
372	C₂³×D₁₃	—	2	2	no	—
373	C₂³×D₁₃	—	2	2	no	—
374	C₂³×D₁₃	—	2	2	no	—
375	C₂³×D₁₃	—	2	2	no	—
376	C₂³×D₁₃	—	4	1	no	—
377	C₂³×D₁₃	—	4	1	no	—
378	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
380	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
381	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₂²⋊D₁₃	—	2	2	no	—
400	C₂×C₂²⋊D₁₃	—	2	2	no	—
401	C₂×C₂²⋊D₁₃	—	2	2	no	—
402	C₂×C₂²⋊D₁₃	—	2	2	no	—
403	C₂×C₂²⋊D₁₃	—	4	1	no	—
404	C₂×C₂²⋊D₁₃	—	4	1	no	—
405	C₂²×Dic₁₃	—	2	2	no	—
406	C₂²×Dic₁₃	—	4	1	no	—
407	C₂²×Dic₁₃	—	4	1	no	—
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₅₂	—	2	2	no	—
421	C₂×D₅₂	—	2	2	no	—
422	C₂×D₅₂	—	2	2	no	—
423	C₂×D₅₂	—	2	2	no	—
424	C₂×D₅₂	—	2	2	no	—
425	C₂×D₅₂	—	2	2	no	—
426	C₂×D₅₂	—	2	2	no	—
427	C₂×D₅₂	—	2	2	no	—
428	C₂×D₅₂	—	2	2	no	—
429	C₂×D₅₂	—	2	2	no	—
430	C₂×D₅₂	—	2	2	no	—
431	C₂×D₅₂	—	4	1	no	—
432	C₂×D₅₂	—	4	1	no	—
433	C₂×D₅₂	—	4	1	no	—
434	C₂×D₅₂	#41	1	4	yes	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	2	2	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	4	16	no	—
461	C₂×C₄×D₁₃	—	4	1	no	—
462	C₂×C₄×D₁₃	—	4	1	no	—
463	C₂×C₄×D₁₃	—	4	1	no	—
464	C₂×C₄×D₁₃	—	4	1	no	—
465	C₂×C₄×D₁₃	—	4	1	no	—
466	C₂×C₄×D₁₃	—	4	1	no	—
467	C₂×C₄×D₁₃	—	4	1	no	—
468	C₂×C₄×D₁₃	—	4	1	no	—
469	C₂×C₄×D₁₃	—	4	1	no	—
470	C₂×C₄×D₁₃	—	4	1	no	—
471	C₂×C₄×D₁₃	#41	1	4	yes	—
472	C₂×Dic₂₆	—	2	2	no	—
473	C₂×Dic₂₆	—	2	2	no	—
474	C₂×Dic₂₆	—	4	1	no	—
475	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	2	2	no	—
477	C₁₃×C₄⋊C₄	—	2	2	no	—
478	C₁₃×C₄⋊C₄	—	2	2	no	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	2	no	—
493	C₂²⋊Dic₁₃	—	2	2	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₂²⋊Dic₁₃	—	4	1	no	—
496	C₂²⋊Dic₁₃	#41	1	4	yes	—
497	#6103	—	2	2	no	—
498	#6103	—	2	2	no	—
499	#6103	—	2	2	no	—
500	#6103	—	2	2	no	—
501	#6103	—	2	2	no	—
502	#6103	—	2	2	no	—
503	#6103	—	2	2	no	—
504	#6103	—	2	2	no	—
505	#6103	—	2	2	no	—
506	#6103	—	2	2	no	—
507	#6103	—	2	2	no	—
508	#6103	—	2	2	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	#6103	—	2	2	no	—
513	#6103	—	2	2	no	—
514	#6103	—	2	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	2	2	no	—
518	#6103	—	2	2	no	—
519	#6103	—	4	1	no	—
520	#6103	—	4	1	no	—
521	#6103	—	4	1	no	—
522	#6103	—	4	1	no	—
523	#6103	—	4	1	no	—
524	#6103	—	4	1	no	—
525	#6103	—	4	1	no	—
526	#6103	—	4	1	no	—
527	#6103	—	4	1	no	—
528	#6103	—	4	1	no	—
529	#6103	#41	1	4	yes	—
530	#6103	#41	1	4	yes	—
531	C₄⋊Dic₁₃	—	2	2	no	—
532	C₄⋊Dic₁₃	—	2	2	no	—
533	C₄⋊Dic₁₃	—	2	2	no	—
534	C₄⋊Dic₁₃	—	2	2	no	—
535	C₄⋊Dic₁₃	—	4	1	no	—
536	C₄⋊Dic₁₃	—	4	1	no	—
537	C₄⋊Dic₁₃	—	4	1	no	—
538	C₄⋊Dic₁₃	—	4	1	no	—
539	#6101	—	2	2	no	—
540	#6101	—	2	2	no	—
541	#6101	—	2	2	no	—
542	#6101	—	2	2	no	—
543	#6101	—	4	1	no	—
544	#6101	—	4	1	no	—
545	#6101	—	4	1	no	—
546	#6101	—	4	1	no	—
547	#6101	—	4	1	no	—
548	#6101	—	4	1	no	—
549	C₄×Dic₁₃	—	2	2	no	—
550	C₄×Dic₁₃	—	2	2	no	—
551	C₄×Dic₁₃	—	2	2	no	—
552	C₄×Dic₁₃	—	2	2	no	—
553	C₄×Dic₁₃	—	2	2	no	—
554	C₄×Dic₁₃	—	2	2	no	—
555	C₄×Dic₁₃	—	2	2	no	—
556	C₄×Dic₁₃	—	2	2	no	—
557	C₄×Dic₁₃	—	4	1	no	—
558	C₄×Dic₁₃	—	4	1	no	—
559	C₄×Dic₁₃	—	4	1	no	—
560	C₄×Dic₁₃	—	4	1	no	—
561	C₄×Dic₁₃	—	4	1	no	—
562	C₄×Dic₁₃	—	4	1	no	—
563	#2597	—	13	1	no	—
564	#2595	—	13	1	no	—
565	#2589	—	13	1	no	—
566	#2587	—	13	1	no	—
567	#2578	—	13	1	no	—
568	#2576	—	13	1	no	—
569	#2559	—	13	1	no	—
570	#2557	—	13	1	no	—
571	#2510	—	13	1	no	—
572	#2505	—	13	1	no	—
573	#2480	—	13	1	no	—
574	#2472	—	13	1	no	—
575	#2450	—	13	1	no	—
576	#2444	—	13	1	no	—
577	#2424	—	13	1	no	—
578	#2418	—	13	1	no	—
579	#2401	D₁₃	1	1	yes	characteristic, complemented
580	#2398	—	13	1	no	—
581	#2395	—	13	1	no	—
582	#2392	—	13	1	no	—
583	C₄×#126	—	13	1	no	—
584	C₄×#124	—	13	1	no	—
585	C₄×C₂²⋊Q₈	—	13	1	no	—
586	C₄×#123	—	13	1	no	—
587	C₄×#121	—	13	1	no	—
588	C₄×#121	—	13	1	no	—
589	C₄×#120	—	13	1	no	—
590	C₄×#120	—	13	1	no	—
591	#2290	—	13	1	no	—
592	C₄²×D₄	—	13	1	no	—
593	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	C₂×#41	1	2	yes	—
601	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
602	C₂²×D₁₃	—	2	1	no	—
603	C₂²×D₁₃	—	2	1	no	—
604	C₂²×D₁₃	—	2	1	no	—
605	C₂²×D₁₃	—	2	1	no	—
606	C₂²×D₁₃	—	2	8	no	—
607	C₂²×D₁₃	—	2	1	no	—
608	C₂²×D₁₃	—	2	1	no	—
609	C₂²×D₁₃	—	2	1	no	—
610	C₂²×D₁₃	—	2	1	no	—
611	C₂²×D₁₃	—	2	1	no	—
612	C₂²×D₁₃	—	2	1	no	—
613	C₂²×D₁₃	—	2	1	no	—
614	C₂²×D₁₃	—	2	1	no	—
615	C₂²×D₁₃	—	2	1	no	—
616	C₂²×D₁₃	—	2	1	no	—
617	C₂²×D₁₃	—	2	1	no	—
618	C₂²×D₁₃	—	2	1	no	—
619	C₂²×D₁₃	—	2	1	no	—
620	C₂²×D₁₃	—	2	1	no	—
621	C₂²×D₁₃	—	2	1	no	—
622	C₂²×D₁₃	—	2	1	no	—
623	C₂²×D₁₃	—	2	1	no	—
624	C₂²×D₁₃	—	2	1	no	—
625	C₂²×D₁₃	—	2	1	no	—
626	C₂²×D₁₃	—	4	4	no	—
627	C₂²×D₁₃	—	4	4	no	—
628	C₂²×D₁₃	—	4	4	no	—
629	C₂²×D₁₃	—	4	4	no	—
630	C₂²×D₁₃	—	4	4	no	—
631	C₂²×D₁₃	—	4	4	no	—
632	C₂²×D₁₃	C₂×#41	1	2	yes	—
633	C₂²×D₁₃	C₂×#41	1	2	yes	—
634	C₂²×D₁₃	C₂×#41	1	2	yes	—
635	C₂²×D₁₃	C₂×#41	1	2	yes	—
636	C₂²×D₁₃	C₂×#41	1	2	yes	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	4	4	no	—
674	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
675	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
676	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
677	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
678	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
679	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
680	C₂²⋊D₁₃	—	4	4	no	—
681	C₂²⋊D₁₃	—	4	4	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	4	4	no	—
714	C₂×Dic₁₃	C₂×#41	1	2	yes	—
715	C₂×Dic₁₃	C₂×#41	1	2	yes	—
716	C₂×Dic₁₃	C₂×#41	1	2	yes	—
717	C₂×Dic₁₃	C₂×#41	1	2	yes	—
718	C₂×Dic₁₃	C₂×#41	1	2	yes	—
719	D₅₂	—	2	8	no	—
720	D₅₂	—	4	4	no	—
721	D₅₂	—	4	4	no	—
722	D₅₂	—	4	4	no	—
723	D₅₂	—	4	4	no	—
724	C₄×D₁₃	—	2	8	no	—
725	C₄×D₁₃	—	4	4	no	—
726	C₄×D₁₃	—	4	4	no	—
727	C₄×D₁₃	—	4	4	no	—
728	C₄×D₁₃	—	4	4	no	—
729	C₄×D₁₃	—	4	4	no	—
730	C₄×D₁₃	—	4	4	no	—
731	C₄×D₁₃	—	4	4	no	—
732	C₄×D₁₃	—	4	4	no	—
733	C₄×D₁₃	—	4	4	no	—
734	C₄×D₁₃	—	4	4	no	—
735	C₄×D₁₃	—	4	4	no	—
736	Dic₂₆	—	4	4	no	—
737	C₂⁴×C₄	—	13	1	no	—
738	C₂×#126	—	13	1	no	—
739	C₂×#124	—	13	1	no	—
740	C₂×#123	—	13	1	no	—
741	C₂×C₂²⋊Q₈	—	13	1	no	—
742	C₂×#121	—	13	1	no	—
743	C₂×#121	—	13	1	no	—
744	C₂×#120	—	13	1	no	—
745	C₂×#120	—	13	1	no	—
746	C₂×C₄×Q₈	—	13	1	no	—
747	C₂×C₄×D₄	—	13	1	no	—
748	C₂×C₄×D₄	—	13	1	no	—
749	C₂×C₄×D₄	—	13	1	no	—
750	C₂×C₄×D₄	—	13	1	no	—
751	C₂×C₄×D₄	—	13	1	no	—
752	C₂×C₄×D₄	—	13	1	no	—
753	C₂×C₄×D₄	—	13	1	no	—
754	C₂×C₄×D₄	—	13	1	no	—
755	C₂×C₄×D₄	—	13	1	no	—
756	C₂×#117	—	13	1	no	—
757	C₂²×C₂²⋊C₄	—	13	1	no	—
758	C₂²×C₂²⋊C₄	—	13	1	no	—
759	C₂²×C₄²	—	13	1	no	—
760	C₂²×C₄²	—	13	1	no	—
761	C₂²×C₄²	—	13	1	no	—
762	#401	C₂×D₁₃	1	1	yes	characteristic, complemented
763	#400	—	13	1	no	—
764	#400	—	13	1	no	—
765	#400	—	13	1	no	—
766	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
767	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
768	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
769	#399	—	13	1	no	—
770	#398	—	13	1	no	—
771	#398	—	13	1	no	—
772	#397	—	13	1	no	—
773	#397	—	13	1	no	—
774	#397	—	13	1	no	—
775	#397	—	13	1	no	—
776	#397	—	13	1	no	—
777	#397	—	13	1	no	—
778	#397	C₂×D₁₃	1	1	yes	characteristic
779	#397	C₂×D₁₃	1	1	yes	characteristic
780	#397	C₂×D₁₃	1	1	yes	characteristic
781	#396	—	13	1	no	—
782	#396	—	13	1	no	—
783	#396	C₂×D₁₃	1	1	yes	characteristic
784	#394	—	13	1	no	—
785	#394	—	13	1	no	—
786	#394	—	13	1	no	—
787	#394	—	13	1	no	—
788	#394	—	13	1	no	—
789	#394	—	13	1	no	—
790	#394	—	13	1	no	—
791	#393	—	13	1	no	—
792	#393	—	13	1	no	—
793	#392	—	13	1	no	—
794	#391	—	13	1	no	—
795	#391	—	13	1	no	—
796	#390	—	13	1	no	—
797	#390	—	13	1	no	—
798	#390	—	13	1	no	—
799	#389	—	13	1	no	—
800	#389	—	13	1	no	—
801	#389	—	13	1	no	—
802	#388	—	13	1	no	—
803	#388	—	13	1	no	—
804	#388	—	13	1	no	—
805	#388	—	13	1	no	—
806	#388	—	13	1	no	—
807	#388	—	13	1	no	—
808	#388	—	13	1	no	—
809	#388	—	13	1	no	—
810	#388	—	13	1	no	—
811	#388	—	13	1	no	—
812	#388	—	13	1	no	—
813	#388	—	13	1	no	—
814	#388	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#387	—	13	1	no	—
818	#387	—	13	1	no	—
819	#387	—	13	1	no	—
820	#387	—	13	1	no	—
821	#387	—	13	1	no	—
822	#387	—	13	1	no	—
823	#387	—	13	1	no	—
824	#387	—	13	1	no	—
825	#387	—	13	1	no	—
826	#386	—	13	1	no	—
827	#386	—	13	1	no	—
828	#386	—	13	1	no	—
829	#386	—	13	1	no	—
830	#386	—	13	1	no	—
831	#386	—	13	1	no	—
832	#386	—	13	1	no	—
833	#386	—	13	1	no	—
834	#386	—	13	1	no	—
835	#386	—	13	1	no	—
836	#386	—	13	1	no	—
837	#386	—	13	1	no	—
838	#386	—	13	1	no	—
839	#385	—	13	1	no	—
840	#385	—	13	1	no	—
841	#385	—	13	1	no	—
842	#385	—	13	1	no	—
843	#385	—	13	1	no	—
844	#385	—	13	1	no	—
845	#385	—	13	1	no	—
846	#385	—	13	1	no	—
847	#385	—	13	1	no	—
848	#385	—	13	1	no	—
849	#385	—	13	1	no	—
850	#383	—	13	1	no	—
851	#382	—	13	1	no	—
852	#381	—	13	1	no	—
853	#380	—	13	1	no	—
854	#380	—	13	1	no	—
855	#380	—	13	1	no	—
856	#379	—	13	1	no	—
857	#379	—	13	1	no	—
858	C₄×C₄⋊C₄	—	13	1	no	—
859	C₄×C₄⋊C₄	—	13	1	no	—
860	C₄×C₄⋊C₄	—	13	1	no	—
861	C₄×C₄⋊C₄	—	13	1	no	—
862	C₄×C₄⋊C₄	—	13	1	no	—
863	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
864	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
865	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
866	C₄×C₂²⋊C₄	—	13	1	no	—
867	C₄×C₂²⋊C₄	—	13	1	no	—
868	C₄×C₂²⋊C₄	—	13	1	no	—
869	C₄×C₂²⋊C₄	—	13	1	no	—
870	C₄×C₂²⋊C₄	—	13	1	no	—
871	C₄×C₂²⋊C₄	—	13	1	no	—
872	C₄×C₂²⋊C₄	—	13	1	no	—
873	C₄×C₂²⋊C₄	—	13	1	no	—
874	C₄×C₂²⋊C₄	—	13	1	no	—
875	C₄×C₂²⋊C₄	—	13	1	no	—
876	C₄×C₂²⋊C₄	—	13	1	no	—
877	C₄×C₂²⋊C₄	—	13	1	no	—
878	C₄×C₂²⋊C₄	—	13	1	no	—
879	C₄×C₂²⋊C₄	—	13	1	no	—
880	C₄×C₂²⋊C₄	—	13	1	no	—
881	C₄×C₂²⋊C₄	—	13	1	no	—
882	C₄×C₂²⋊C₄	—	13	1	no	—
883	C₄×C₂²⋊C₄	—	13	1	no	—
884	C₄×C₂²⋊C₄	—	13	1	no	—
885	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
888	#376	C₂×D₁₃	1	1	yes	characteristic, complemented
889	C₂×#95	—	13	1	no	—
890	C₂×#95	—	13	1	no	—
891	C₄³	—	13	1	no	—
892	C₂²×C₁₃	—	2	2	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	2	no	—
895	C₂²×C₁₃	—	4	1	no	—
896	C₂²×C₁₃	—	4	1	no	—
897	C₂²×C₁₃	—	4	1	no	—
898	C₂²×C₁₃	—	4	1	no	—
899	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
900	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
901	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
902	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
903	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
904	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
905	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
906	C₂×D₁₃	—	2	2	no	—
907	C₂×D₁₃	—	2	2	no	—
908	C₂×D₁₃	—	2	2	no	—
909	C₂×D₁₃	—	2	2	no	—
910	C₂×D₁₃	—	2	2	no	—
911	C₂×D₁₃	—	2	2	no	—
912	C₂×D₁₃	—	2	2	no	—
913	C₂×D₁₃	—	2	2	no	—
914	C₂×D₁₃	—	2	2	no	—
915	C₂×D₁₃	—	2	2	no	—
916	C₂×D₁₃	—	2	2	no	—
917	C₂×D₁₃	—	2	2	no	—
918	C₂×D₁₃	—	4	16	no	—
919	C₂×D₁₃	—	4	1	no	—
920	C₂×D₁₃	—	4	1	no	—
921	C₂×D₁₃	—	4	1	no	—
922	C₂×D₁₃	—	4	1	no	—
923	C₂×D₁₃	—	4	1	no	—
924	C₂×D₁₃	—	4	1	no	—
925	C₂×D₁₃	—	4	1	no	—
926	C₂×D₁₃	—	4	1	no	—
927	C₂×D₁₃	—	4	1	no	—
928	C₂×D₁₃	—	4	1	no	—
929	C₂×D₁₃	—	4	1	no	—
930	C₂×D₁₃	—	4	1	no	—
931	C₂×D₁₃	—	4	1	no	—
932	C₂×D₁₃	—	4	1	no	—
933	C₂×D₁₃	—	4	1	no	—
934	C₂×D₁₃	#529	1	4	yes	—
935	C₄×C₁₃	—	2	2	no	—
936	C₄×C₁₃	—	2	2	no	—
937	C₄×C₁₃	—	2	2	no	—
938	C₄×C₁₃	—	4	1	no	—
939	C₄×C₁₃	—	4	1	no	—
940	C₄×C₁₃	—	4	1	no	—
941	C₄×C₁₃	—	4	1	no	—
942	C₄×C₁₃	—	4	1	no	—
943	C₄×C₁₃	—	4	1	no	—
944	C₄×C₁₃	—	4	1	no	—
945	C₄×C₁₃	—	4	1	no	—
946	C₄×C₁₃	—	4	1	no	—
947	C₄×C₁₃	—	4	1	no	—
948	C₄×C₁₃	#538	1	4	yes	—
949	Dic₁₃	—	2	2	no	—
950	Dic₁₃	—	2	2	no	—
951	Dic₁₃	—	2	2	no	—
952	Dic₁₃	—	2	2	no	—
953	Dic₁₃	—	2	2	no	—
954	Dic₁₃	—	4	1	no	—
955	Dic₁₃	—	4	1	no	—
956	Dic₁₃	—	4	1	no	—
957	Dic₁₃	—	4	1	no	—
958	Dic₁₃	—	4	1	no	—
959	Dic₁₃	—	4	1	no	—
960	Dic₁₃	—	4	1	no	—
961	C₂⁵	—	13	1	no	—
962	C₂²×Q₈	—	13	1	no	—
963	C₂²×D₄	—	13	1	no	—
964	C₂²×D₄	—	13	1	no	—
965	C₂²×D₄	—	13	1	no	—
966	C₂²×D₄	—	13	1	no	—
967	C₂²×D₄	—	13	1	no	—
968	C₂²×D₄	—	13	1	no	—
969	C₂²×D₄	—	13	1	no	—
970	C₂³×C₄	—	13	1	no	—
971	C₂³×C₄	—	13	1	no	—
972	C₂³×C₄	—	13	1	no	—
973	C₂³×C₄	—	13	1	no	—
974	C₂³×C₄	—	13	1	no	—
975	C₂³×C₄	—	13	1	no	—
976	C₂³×C₄	—	13	1	no	—
977	C₂³×C₄	—	13	1	no	—
978	C₂³×C₄	—	13	1	no	—
979	C₂³×C₄	—	13	1	no	—
980	C₂³×C₄	—	13	1	no	—
981	C₂³×C₄	—	13	1	no	—
982	C₂³×C₄	—	13	1	no	—
983	C₂³×C₄	—	26	4	no	—
984	C₂³×C₄	—	52	2	no	—
985	C₂³×C₄	—	52	2	no	—
986	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
987	#126	—	26	4	no	—
988	#124	—	26	4	no	—
989	#123	—	26	4	no	—
990	C₂²⋊Q₈	—	26	4	no	—
991	#121	—	26	4	no	—
992	#121	—	26	4	no	—
993	#120	—	26	4	no	—
994	#120	—	26	4	no	—
995	C₄×Q₈	—	52	2	no	—
996	C₄×D₄	—	26	4	no	—
997	C₄×D₄	—	26	4	no	—
998	C₄×D₄	—	26	4	no	—
999	C₄×D₄	—	26	4	no	—
1000	C₄×D₄	—	52	2	no	—
1001	C₄×D₄	—	52	2	no	—
1002	C₄×D₄	—	52	2	no	—
1003	C₄×D₄	—	52	2	no	—
1004	C₄×D₄	—	52	2	no	—
1005	#117	—	52	2	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	—	13	1	no	—
1008	C₂×C₄⋊C₄	—	13	1	no	—
1009	C₂×C₄⋊C₄	—	13	1	no	—
1010	C₂×C₄⋊C₄	—	13	1	no	—
1011	C₂×C₄⋊C₄	—	13	1	no	—
1012	C₂×C₄⋊C₄	—	13	1	no	—
1013	C₂×C₄⋊C₄	—	13	1	no	—
1014	C₂×C₄⋊C₄	—	13	1	no	—
1015	C₂×C₄⋊C₄	—	13	1	no	—
1016	C₂×C₄⋊C₄	—	13	1	no	—
1017	C₂×C₄⋊C₄	—	13	1	no	—
1018	C₂×C₄⋊C₄	—	13	1	no	—
1019	C₂×C₄⋊C₄	—	13	1	no	—
1020	C₂×C₄⋊C₄	—	13	1	no	—
1021	C₂×C₄⋊C₄	—	13	1	no	—
1022	C₂×C₄⋊C₄	—	13	1	no	—
1023	C₂×C₄⋊C₄	—	13	1	no	—
1024	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	—	13	1	no	—
1031	C₂×C₂²⋊C₄	—	13	1	no	—
1032	C₂×C₂²⋊C₄	—	13	1	no	—
1033	C₂×C₂²⋊C₄	—	13	1	no	—
1034	C₂×C₂²⋊C₄	—	13	1	no	—
1035	C₂×C₂²⋊C₄	—	13	1	no	—
1036	C₂×C₂²⋊C₄	—	13	1	no	—
1037	C₂×C₂²⋊C₄	—	13	1	no	—
1038	C₂×C₂²⋊C₄	—	13	1	no	—
1039	C₂×C₂²⋊C₄	—	13	1	no	—
1040	C₂×C₂²⋊C₄	—	13	1	no	—
1041	C₂×C₂²⋊C₄	—	13	1	no	—
1042	C₂×C₂²⋊C₄	—	13	1	no	—
1043	C₂×C₂²⋊C₄	—	13	1	no	—
1044	C₂×C₂²⋊C₄	—	13	1	no	—
1045	C₂×C₂²⋊C₄	—	13	1	no	—
1046	C₂×C₂²⋊C₄	—	13	1	no	—
1047	C₂×C₂²⋊C₄	—	13	1	no	—
1048	C₂×C₂²⋊C₄	—	13	1	no	—
1049	C₂×C₂²⋊C₄	—	13	1	no	—
1050	C₂×C₂²⋊C₄	—	13	1	no	—
1051	C₂×C₂²⋊C₄	—	13	1	no	—
1052	C₂×C₂²⋊C₄	—	13	1	no	—
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	13	1	no	—
1056	C₂×C₂²⋊C₄	—	13	1	no	—
1057	C₂×C₂²⋊C₄	—	13	1	no	—
1058	C₂×C₂²⋊C₄	—	13	1	no	—
1059	C₂×C₂²⋊C₄	—	13	1	no	—
1060	C₂×C₂²⋊C₄	—	13	1	no	—
1061	C₂×C₂²⋊C₄	—	13	1	no	—
1062	C₂×C₂²⋊C₄	—	13	1	no	—
1063	C₂×C₂²⋊C₄	—	13	1	no	—
1064	C₂×C₂²⋊C₄	—	13	1	no	—
1065	C₂×C₂²⋊C₄	—	13	1	no	—
1066	C₂×C₂²⋊C₄	—	13	1	no	—
1067	C₂×C₂²⋊C₄	—	13	1	no	—
1068	C₂×C₂²⋊C₄	—	26	4	no	—
1069	C₂×C₂²⋊C₄	—	26	4	no	—
1070	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1076	C₂×C₄²	—	13	1	no	—
1077	C₂×C₄²	—	13	1	no	—
1078	C₂×C₄²	—	13	1	no	—
1079	C₂×C₄²	—	13	1	no	—
1080	C₂×C₄²	—	13	1	no	—
1081	C₂×C₄²	—	13	1	no	—
1082	C₂×C₄²	—	13	1	no	—
1083	C₂×C₄²	—	13	1	no	—
1084	C₂×C₄²	—	13	1	no	—
1085	C₂×C₄²	—	13	1	no	—
1086	C₂×C₄²	—	13	1	no	—
1087	C₂×C₄²	—	13	1	no	—
1088	C₂×C₄²	—	13	1	no	—
1089	C₂×C₄²	—	13	1	no	—
1090	C₂×C₄²	—	52	2	no	—
1091	C₂×C₄²	—	52	2	no	—
1092	C₂×C₄²	—	52	2	no	—
1093	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	—	13	1	no	—
1113	#95	—	13	1	no	—
1114	#95	—	13	1	no	—
1115	#95	—	13	1	no	—
1116	#95	—	13	1	no	—
1117	#95	—	13	1	no	—
1118	#95	—	13	1	no	—
1119	#95	—	13	1	no	—
1120	#95	—	13	1	no	—
1121	#95	—	13	1	no	—
1122	#95	—	13	1	no	—
1123	#95	—	13	1	no	—
1124	#95	—	13	1	no	—
1125	#95	—	13	1	no	—
1126	#95	—	13	1	no	—
1127	#95	C₂²×D₁₃	1	1	yes	characteristic
1128	#95	C₂²×D₁₃	1	1	yes	characteristic
1129	#95	C₂²×D₁₃	1	1	yes	characteristic
1130	#95	C₂²×D₁₃	1	1	yes	characteristic
1131	#95	C₂²×D₁₃	1	1	yes	characteristic
1132	#95	C₂²×D₁₃	1	1	yes	characteristic
1133	#95	C₂²×D₁₃	1	1	yes	characteristic
1134	#95	C₂²×D₁₃	1	1	yes	characteristic
1135	#95	C₂²×D₁₃	1	1	yes	characteristic
1136	#95	C₂²×D₁₃	1	1	yes	characteristic
1137	#95	C₂²×D₁₃	1	1	yes	characteristic
1138	#95	C₂²×D₁₃	1	1	yes	characteristic
1139	#95	C₂²×D₁₃	1	1	yes	characteristic
1140	#95	C₂²×D₁₃	1	1	yes	characteristic
1141	#95	C₂²×D₁₃	1	1	yes	characteristic
1142	#95	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×C₁₃	—	4	2	no	—
1144	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1145	C₂×C₁₃	#3444	1	1	yes	characteristic
1146	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1147	C₂×C₁₃	#3481	1	1	yes	characteristic
1148	C₂×C₁₃	#3481	1	1	yes	characteristic
1149	C₂×C₁₃	#3481	1	1	yes	characteristic
1150	C₂×C₁₃	#3481	1	1	yes	characteristic
1151	D₁₃	—	2	4	no	—
1152	D₁₃	—	4	2	no	—
1153	D₁₃	—	4	2	no	—
1154	D₁₃	—	8	1	no	—
1155	C₂⁴	—	13	1	no	—
1156	C₂⁴	—	13	1	no	—
1157	C₂⁴	—	13	1	no	—
1158	C₂⁴	—	13	1	no	—
1159	C₂⁴	—	26	2	no	—
1160	C₂⁴	—	26	2	no	—
1161	C₂⁴	—	26	2	no	—
1162	C₂⁴	—	26	2	no	—
1163	C₂⁴	—	26	2	no	—
1164	C₂⁴	—	52	1	no	—
1165	C₂⁴	—	52	1	no	—
1166	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1167	C₂×Q₈	—	26	2	no	—
1168	C₂×Q₈	—	26	2	no	—
1169	C₂×Q₈	—	52	1	no	—
1170	C₂×D₄	—	13	4	no	—
1171	C₂×D₄	—	26	2	no	—
1172	C₂×D₄	—	26	2	no	—
1173	C₂×D₄	—	26	2	no	—
1174	C₂×D₄	—	26	2	no	—
1175	C₂×D₄	—	26	2	no	—
1176	C₂×D₄	—	26	2	no	—
1177	C₂×D₄	—	26	2	no	—
1178	C₂×D₄	—	26	2	no	—
1179	C₂×D₄	—	26	2	no	—
1180	C₂×D₄	—	26	2	no	—
1181	C₂×D₄	—	26	2	no	—
1182	C₂×D₄	—	26	2	no	—
1183	C₂×D₄	—	26	2	no	—
1184	C₂×D₄	—	26	2	no	—
1185	C₂×D₄	—	26	2	no	—
1186	C₂×D₄	—	52	1	no	—
1187	C₂×D₄	—	52	1	no	—
1188	C₂×D₄	—	52	1	no	—
1189	C₂×D₄	—	52	1	no	—
1190	C₂×D₄	—	52	1	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	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	4	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	—	26	2	no	—
1208	C₂²×C₄	—	26	2	no	—
1209	C₂²×C₄	—	26	2	no	—
1210	C₂²×C₄	—	26	2	no	—
1211	C₂²×C₄	—	26	2	no	—
1212	C₂²×C₄	—	26	2	no	—
1213	C₂²×C₄	—	26	2	no	—
1214	C₂²×C₄	—	26	2	no	—
1215	C₂²×C₄	—	26	2	no	—
1216	C₂²×C₄	—	26	2	no	—
1217	C₂²×C₄	—	26	2	no	—
1218	C₂²×C₄	—	26	2	no	—
1219	C₂²×C₄	—	26	2	no	—
1220	C₂²×C₄	—	26	2	no	—
1221	C₂²×C₄	—	26	2	no	—
1222	C₂²×C₄	—	26	2	no	—
1223	C₂²×C₄	—	26	2	no	—
1224	C₂²×C₄	—	26	2	no	—
1225	C₂²×C₄	—	26	2	no	—
1226	C₂²×C₄	—	26	2	no	—
1227	C₂²×C₄	—	26	2	no	—
1228	C₂²×C₄	—	26	2	no	—
1229	C₂²×C₄	—	26	2	no	—
1230	C₂²×C₄	—	26	2	no	—
1231	C₂²×C₄	—	26	2	no	—
1232	C₂²×C₄	—	26	2	no	—
1233	C₂²×C₄	—	52	1	no	—
1234	C₂²×C₄	—	52	1	no	—
1235	C₂²×C₄	—	52	1	no	—
1236	C₂²×C₄	—	52	1	no	—
1237	C₂²×C₄	—	52	1	no	—
1238	C₂²×C₄	—	52	1	no	—
1239	C₂²×C₄	—	52	1	no	—
1240	C₂²×C₄	—	52	1	no	—
1241	C₂²×C₄	—	52	1	no	—
1242	C₂²×C₄	—	52	1	no	—
1243	C₂²×C₄	—	52	16	no	—
1244	C₂²×C₄	—	52	1	no	—
1245	C₂²×C₄	—	52	1	no	—
1246	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	26	2	no	—
1267	C₄⋊C₄	—	26	2	no	—
1268	C₄⋊C₄	—	26	2	no	—
1269	C₄⋊C₄	—	26	2	no	—
1270	C₄⋊C₄	—	26	2	no	—
1271	C₄⋊C₄	—	26	2	no	—
1272	C₄⋊C₄	—	26	2	no	—
1273	C₄⋊C₄	—	26	2	no	—
1274	C₄⋊C₄	—	52	1	no	—
1275	C₄⋊C₄	—	52	1	no	—
1276	C₄⋊C₄	—	52	1	no	—
1277	C₄⋊C₄	—	52	1	no	—
1278	C₄⋊C₄	—	52	1	no	—
1279	C₄⋊C₄	—	52	1	no	—
1280	C₄⋊C₄	—	52	1	no	—
1281	C₄⋊C₄	—	52	1	no	—
1282	C₄⋊C₄	—	52	1	no	—
1283	C₄⋊C₄	—	52	1	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	13	4	no	—
1291	C₂²⋊C₄	—	13	4	no	—
1292	C₂²⋊C₄	—	13	4	no	—
1293	C₂²⋊C₄	—	26	2	no	—
1294	C₂²⋊C₄	—	26	2	no	—
1295	C₂²⋊C₄	—	26	2	no	—
1296	C₂²⋊C₄	—	26	2	no	—
1297	C₂²⋊C₄	—	26	2	no	—
1298	C₂²⋊C₄	—	26	2	no	—
1299	C₂²⋊C₄	—	26	2	no	—
1300	C₂²⋊C₄	—	26	2	no	—
1301	C₂²⋊C₄	—	26	2	no	—
1302	C₂²⋊C₄	—	26	2	no	—
1303	C₂²⋊C₄	—	26	2	no	—
1304	C₂²⋊C₄	—	26	2	no	—
1305	C₂²⋊C₄	—	26	2	no	—
1306	C₂²⋊C₄	—	26	2	no	—
1307	C₂²⋊C₄	—	26	2	no	—
1308	C₂²⋊C₄	—	26	2	no	—
1309	C₂²⋊C₄	—	26	2	no	—
1310	C₂²⋊C₄	—	26	2	no	—
1311	C₂²⋊C₄	—	26	2	no	—
1312	C₂²⋊C₄	—	26	2	no	—
1313	C₂²⋊C₄	—	26	2	no	—
1314	C₂²⋊C₄	—	26	2	no	—
1315	C₂²⋊C₄	—	26	2	no	—
1316	C₂²⋊C₄	—	52	1	no	—
1317	C₂²⋊C₄	—	52	1	no	—
1318	C₂²⋊C₄	—	52	1	no	—
1319	C₂²⋊C₄	—	52	1	no	—
1320	C₂²⋊C₄	—	52	1	no	—
1321	C₂²⋊C₄	—	52	1	no	—
1322	C₂²⋊C₄	—	52	1	no	—
1323	C₂²⋊C₄	—	52	1	no	—
1324	C₂²⋊C₄	—	52	1	no	—
1325	C₂²⋊C₄	—	52	1	no	—
1326	C₂²⋊C₄	—	52	1	no	—
1327	C₂²⋊C₄	—	52	1	no	—
1328	C₄²	—	2	2	no	—
1329	C₄²	—	2	2	no	—
1330	C₄²	—	2	2	no	—
1331	C₄²	—	2	2	no	—
1332	C₄²	—	2	2	no	—
1333	C₄²	—	2	2	no	—
1334	C₄²	—	26	2	no	—
1335	C₄²	—	26	2	no	—
1336	C₄²	—	26	2	no	—
1337	C₄²	—	26	2	no	—
1338	C₄²	—	26	2	no	—
1339	C₄²	—	26	2	no	—
1340	C₄²	—	26	2	no	—
1341	C₄²	—	26	2	no	—
1342	C₄²	—	52	1	no	—
1343	C₄²	—	52	1	no	—
1344	C₄²	—	52	1	no	—
1345	C₄²	—	52	1	no	—
1346	C₄²	—	52	1	no	—
1347	C₄²	—	52	1	no	—
1348	C₁₃	#34959	1	1	yes	characteristic, complemented, Sylow
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	13	2	no	—
1356	C₂³	—	13	2	no	—
1357	C₂³	—	13	2	no	—
1358	C₂³	—	13	2	no	—
1359	C₂³	—	13	2	no	—
1360	C₂³	—	26	8	no	—
1361	C₂³	—	26	1	no	—
1362	C₂³	—	26	1	no	—
1363	C₂³	—	26	1	no	—
1364	C₂³	—	26	1	no	—
1365	C₂³	—	26	1	no	—
1366	C₂³	—	26	1	no	—
1367	C₂³	—	26	1	no	—
1368	C₂³	—	26	1	no	—
1369	C₂³	—	26	1	no	—
1370	C₂³	—	26	1	no	—
1371	C₂³	—	26	1	no	—
1372	C₂³	—	26	1	no	—
1373	C₂³	—	26	1	no	—
1374	C₂³	—	26	1	no	—
1375	C₂³	—	26	1	no	—
1376	C₂³	—	26	1	no	—
1377	C₂³	—	26	1	no	—
1378	C₂³	—	26	1	no	—
1379	C₂³	—	26	1	no	—
1380	C₂³	—	26	1	no	—
1381	C₂³	—	26	1	no	—
1382	C₂³	—	26	1	no	—
1383	C₂³	—	26	1	no	—
1384	C₂³	—	52	4	no	—
1385	C₂³	—	52	4	no	—
1386	C₂³	—	52	4	no	—
1387	C₂³	—	52	4	no	—
1388	C₂³	—	52	4	no	—
1389	C₂³	—	52	4	no	—
1390	C₂³	#41×D₁₃	1	2	yes	—
1391	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1392	Q₈	—	52	4	no	—
1393	D₄	—	26	8	no	—
1394	D₄	—	52	4	no	—
1395	D₄	—	52	4	no	—
1396	D₄	—	52	4	no	—
1397	D₄	—	52	4	no	—
1398	D₄	—	52	4	no	—
1399	D₄	—	52	4	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	13	2	no	—
1438	C₂×C₄	—	13	2	no	—
1439	C₂×C₄	—	13	2	no	—
1440	C₂×C₄	—	13	2	no	—
1441	C₂×C₄	—	13	2	no	—
1442	C₂×C₄	—	26	1	no	—
1443	C₂×C₄	—	26	1	no	—
1444	C₂×C₄	—	26	1	no	—
1445	C₂×C₄	—	26	1	no	—
1446	C₂×C₄	—	26	1	no	—
1447	C₂×C₄	—	26	1	no	—
1448	C₂×C₄	—	26	1	no	—
1449	C₂×C₄	—	26	1	no	—
1450	C₂×C₄	—	26	1	no	—
1451	C₂×C₄	—	26	1	no	—
1452	C₂×C₄	—	26	8	no	—
1453	C₂×C₄	—	26	1	no	—
1454	C₂×C₄	—	26	1	no	—
1455	C₂×C₄	—	26	1	no	—
1456	C₂×C₄	—	26	1	no	—
1457	C₂×C₄	—	26	1	no	—
1458	C₂×C₄	—	26	1	no	—
1459	C₂×C₄	—	26	1	no	—
1460	C₂×C₄	—	26	1	no	—
1461	C₂×C₄	—	26	1	no	—
1462	C₂×C₄	—	26	1	no	—
1463	C₂×C₄	—	26	1	no	—
1464	C₂×C₄	—	26	1	no	—
1465	C₂×C₄	—	26	1	no	—
1466	C₂×C₄	—	26	1	no	—
1467	C₂×C₄	—	26	1	no	—
1468	C₂×C₄	—	26	1	no	—
1469	C₂×C₄	—	26	1	no	—
1470	C₂×C₄	—	26	1	no	—
1471	C₂×C₄	—	26	1	no	—
1472	C₂×C₄	—	26	1	no	—
1473	C₂×C₄	—	26	1	no	—
1474	C₂×C₄	—	52	4	no	—
1475	C₂×C₄	—	52	4	no	—
1476	C₂×C₄	—	52	4	no	—
1477	C₂×C₄	—	52	4	no	—
1478	C₂×C₄	—	52	4	no	—
1479	C₂×C₄	—	52	4	no	—
1480	C₂×C₄	—	52	4	no	—
1481	C₂×C₄	—	52	4	no	—
1482	C₂×C₄	—	52	4	no	—
1483	C₂×C₄	—	52	4	no	—
1484	C₂×C₄	—	52	4	no	—
1485	C₂×C₄	—	52	4	no	—
1486	C₂×C₄	#41×D₁₃	1	2	yes	—
1487	C₂×C₄	#41×D₁₃	1	2	yes	—
1488	C₂×C₄	#41×D₁₃	1	2	yes	—
1489	C₂×C₄	#41×D₁₃	1	2	yes	—
1490	C₂×C₄	#88256	1	2	yes	—
1491	C₂×C₄	#88256	1	2	yes	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	13	4	no	—
1500	C₂²	—	26	2	no	—
1501	C₂²	—	26	2	no	—
1502	C₂²	—	26	2	no	—
1503	C₂²	—	26	2	no	—
1504	C₂²	—	26	2	no	—
1505	C₂²	—	26	2	no	—
1506	C₂²	—	26	2	no	—
1507	C₂²	—	26	2	no	—
1508	C₂²	—	26	2	no	—
1509	C₂²	—	26	2	no	—
1510	C₂²	—	26	2	no	—
1511	C₂²	—	26	2	no	—
1512	C₂²	—	52	16	no	—
1513	C₂²	—	52	1	no	—
1514	C₂²	—	52	1	no	—
1515	C₂²	—	52	1	no	—
1516	C₂²	—	52	1	no	—
1517	C₂²	—	52	1	no	—
1518	C₂²	—	52	1	no	—
1519	C₂²	—	52	1	no	—
1520	C₂²	—	52	1	no	—
1521	C₂²	—	52	1	no	—
1522	C₂²	—	52	1	no	—
1523	C₂²	—	52	1	no	—
1524	C₂²	—	52	1	no	—
1525	C₂²	—	52	1	no	—
1526	C₂²	—	52	1	no	—
1527	C₂²	—	52	1	no	—
1528	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1529	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1530	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1531	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1532	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1533	C₂²	C₂×#88256	1	1	yes	characteristic
1534	C₂²	C₂×#88256	1	1	yes	characteristic
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	26	2	no	—
1549	C₄	—	26	2	no	—
1550	C₄	—	26	2	no	—
1551	C₄	—	26	2	no	—
1552	C₄	—	26	2	no	—
1553	C₄	—	52	1	no	—
1554	C₄	—	52	1	no	—
1555	C₄	—	52	1	no	—
1556	C₄	—	52	1	no	—
1557	C₄	—	52	1	no	—
1558	C₄	—	52	1	no	—
1559	C₄	—	52	1	no	—
1560	C₄	#11719409	1	4	yes	—
1561	C₂	—	4	2	no	—
1562	C₂	—	26	4	no	—
1563	C₂	—	52	2	no	—
1564	C₂	—	52	2	no	—
1565	C₂	—	104	1	no	—
1566	C₂	D₁₃×#529	1	1	yes	characteristic
1567	C₂	#13128130	1	1	yes	characteristic
1568	C₂	C₂×#11719409	1	1	yes	characteristic
1569	C₂	#13128442	1	1	yes	characteristic
1570	C₂	#13128442	1	1	yes	characteristic
1571	C₂	#13128442	1	1	yes	characteristic
1572	C₂	#13128442	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₁₃×#2401	C₂
prime radical	#13118367	C₂
hypercenter	#2401	D₁₃
hypocenter	C₁₃	#34959
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ #2401

Complements

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

N	H ≅ G/N	type
1. #13120388	C₂	semidirect
2. #13120350	C₂	semidirect
3. #13120288	C₂	semidirect
4. #13120250	C₂	semidirect
5. #13120173	C₂	semidirect
6. #13120135	C₂	semidirect
7. #13119968	C₂	semidirect
8. #13119930	C₂	semidirect
9. #13119391	C₂	semidirect
10. #13119330	C₂	semidirect
11. #13119083	C₂	semidirect
12. #13118955	C₂	semidirect
13. #13118663	C₂	semidirect
14. #13118587	C₂	semidirect
16. #13118299	C₂	semidirect
17. #13118122	C₂	semidirect
18. #13118099	C₂	semidirect
19. #13118080	C₂	semidirect
20. C₄×#88152	C₂	semidirect
21. C₄×#88139	C₂	semidirect
22. C₄×#88150	C₂	semidirect
23. C₄×#88137	C₂	semidirect
24. C₄×#88149	C₂	semidirect
25. C₄×#88149	C₂	semidirect
26. C₄×#88136	C₂	semidirect
27. C₄×#88136	C₂	semidirect
28. #13117280	C₂	semidirect
29. C₄×#88147	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2401	C₂	semidirect
51. C₂×C₄×D₅₂	C₂²	semidirect
52. C₂×#88126	C₂²	semidirect
55. C₂×C₄²×D₁₃	C₂²	semidirect
56. C₂×C₄×Dic₂₆	C₂²	semidirect
57. C₁₃×#401	C₂²	semidirect
58. C₁₃×#400	C₂²	semidirect
59. C₁₃×#400	C₂²	semidirect
60. C₁₃×#400	C₂²	semidirect
65. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
66. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
67. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
71. C₁₃×#376	C₂²	semidirect
73. #11718654	C₂²	semidirect
79. #11718649	C₂²	semidirect
81. #11718648	C₂²	semidirect
82. #11718646	C₂²	semidirect
83. #11718646	C₂²	semidirect
84. #11718645	C₂²	semidirect
85. #11718642	C₂²	semidirect
86. #11718642	C₂²	semidirect
87. #11718639	C₂²	semidirect
88. C₄⋊C₄×Dic₁₃	C₂²	semidirect
89. C₄⋊C₄×Dic₁₃	C₂²	semidirect
90. #11718633	C₂²	semidirect
115. C₄×#6103	C₂²	semidirect
116. C₄×#6103	C₂²	semidirect
117. C₄×#6103	C₂²	semidirect
118. C₄×#6103	C₂²	semidirect
119. C₄×C₄⋊Dic₁₃	C₂²	semidirect
120. C₄×#6101	C₂²	semidirect
121. C₄×#6101	C₂²	semidirect
122. C₄²×Dic₁₃	C₂²	semidirect
123. #11718337	C₂²	semidirect
125. #11718336	C₂²	semidirect
126. #11718336	C₂²	semidirect
128. #11718335	C₂²	semidirect
130. #11718334	C₂²	semidirect
134. #11718333	C₂²	semidirect
137. #11718331	C₂²	semidirect
138. #11718331	C₂²	semidirect
139. #11718331	C₂²	semidirect
140. #11718331	C₂²	semidirect
141. #11718331	C₂²	semidirect
142. #11718331	C₂²	semidirect
144. #11718330	C₂²	semidirect
152. #11718329	C₂²	semidirect
158. #11718327	C₂²	semidirect
159. #11718327	C₂²	semidirect
169. #11718326	C₂²	semidirect
170. #11718325	C₂²	semidirect
173. #11718321	C₂²	semidirect
174. #11718320	C₂²	semidirect
175. #11718320	C₂²	semidirect
176. #11718318	C₂²	semidirect
177. #11718315	C₂²	semidirect
178. #11718315	C₂²	semidirect
179. #11718314	C₂²	semidirect
180. #11718314	C₂²	semidirect
181. #11718313	C₂²	semidirect
182. #11718313	C₂²	semidirect
183. #11718312	C₂²	semidirect
184. #11718311	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
579. #2401	D₁₃	semidirect
762. #401	C₂×D₁₃	semidirect
766. #400	C₂×D₁₃	semidirect
767. #400	C₂×D₁₃	semidirect
768. #400	C₂×D₁₃	semidirect
863. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
864. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
865. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
888. #376	C₂×D₁₃	semidirect
1348. C₁₃	#34959	semidirect

Maximal subgroups

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

subgroup	index
#13120388	2
#13120350	2
#13120288	2
#13120250	2
#13120173	2
#13120135	2
#13119968	2
#13119930	2
#13119391	2
#13119330	2
#13119083	2
#13118955	2
#13118663	2
#13118587	2
#13118367	2
#13118299	2
#13118122	2
#13118099	2
#13118080	2
C₄×#88152	2
C₄×#88139	2
C₄×#88150	2
C₄×#88137	2
C₄×#88149	2
C₄×#88136	2
#13117280	2
C₄×#88147	2
C₄×C₂²⋊C₄×D₁₃	2
C₁₃×#2401	2
#34959	13