Subgroups — #16032730

Order 3328.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13119689	C₂	1	1	yes	maximal, characteristic, complemented
2	#13119674	C₂	1	1	yes	maximal, characteristic, complemented
3	#13119629	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119614	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119560	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119545	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119476	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119461	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119402	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119343	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119276	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119109	C₂	1	1	yes	maximal, characteristic, complemented
13	#13119087	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118969	C₂	1	1	yes	maximal, characteristic
15	#13118508	C₂	1	1	yes	maximal, characteristic, complemented
16	#13118219	C₂	1	1	yes	maximal, characteristic
17	#13118137	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118106	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118099	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118099	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88140	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88136	C₂	1	1	yes	maximal, characteristic
25	#13117329	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117297	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117279	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117217	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88131	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#6103	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×#88201	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂²×#6103	C₂²	1	1	yes	characteristic
39	C₂²×#6103	C₂²	1	1	yes	characteristic
40	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
41	C₂×#88152	C₂²	1	1	yes	characteristic
42	C₂×#88140	C₂²	1	1	yes	characteristic
43	C₂×#88136	C₂²	1	1	yes	characteristic
44	C₂×#88131	C₂²	1	1	yes	characteristic
45	C₂×#88131	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
48	C₂×#88126	C₂²	1	1	yes	characteristic
49	C₂×#88126	C₂²	1	1	yes	characteristic
50	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#385	C₂²	1	1	yes	characteristic
56	C₁₃×#385	C₂²	1	1	yes	characteristic
57	C₁₃×#380	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	#11718892	C₂²	1	1	yes	characteristic
64	#11718891	C₂²	1	1	yes	characteristic, complemented
65	#11718890	C₂²	1	1	yes	characteristic, complemented
66	#11718874	C₂²	1	1	yes	characteristic
67	#11718874	C₂²	1	1	yes	characteristic
68	#11718871	C₂²	1	1	yes	characteristic
69	#11718871	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
71	C₂×#88071	C₂²	1	1	yes	characteristic
72	C₂×#88071	C₂²	1	1	yes	characteristic
73	#11718655	C₂²	1	1	yes	characteristic
74	#11718655	C₂²	1	1	yes	characteristic
75	#11718655	C₂²	1	1	yes	characteristic
76	#11718654	C₂²	1	1	yes	characteristic
77	#11718654	C₂²	1	1	yes	characteristic
78	#11718654	C₂²	1	1	yes	characteristic, complemented
79	#11718653	C₂²	1	1	yes	characteristic
80	#11718653	C₂²	1	1	yes	characteristic
81	#11718653	C₂²	1	1	yes	characteristic, complemented
82	#11718652	C₂²	1	1	yes	characteristic
83	#11718652	C₂²	1	1	yes	characteristic
84	#11718651	C₂²	1	1	yes	characteristic
85	#11718651	C₂²	1	1	yes	characteristic
86	#11718651	C₂²	1	1	yes	characteristic
87	#11718651	C₂²	1	1	yes	characteristic
88	#11718651	C₂²	1	1	yes	characteristic
89	#11718651	C₂²	1	1	yes	characteristic, complemented
90	#11718651	C₂²	1	1	yes	characteristic, complemented
91	#11718649	C₂²	1	1	yes	characteristic
92	#11718649	C₂²	1	1	yes	characteristic
93	#11718649	C₂²	1	1	yes	characteristic
94	#11718647	C₂²	1	1	yes	characteristic, complemented
95	#11718645	C₂²	1	1	yes	characteristic, complemented
96	#11718645	C₂²	1	1	yes	characteristic, complemented
97	#11718645	C₂²	1	1	yes	characteristic, complemented
98	#11718645	C₂²	1	1	yes	characteristic, complemented
99	#11718643	C₂²	1	1	yes	characteristic, complemented
100	#11718643	C₂²	1	1	yes	characteristic, complemented
101	#11718642	C₂²	1	1	yes	characteristic, complemented
102	#11718639	C₂²	1	1	yes	characteristic, complemented
103	#11718639	C₂²	1	1	yes	characteristic, complemented
104	#11718639	C₂²	1	1	yes	characteristic, complemented
105	#11718638	C₂²	1	1	yes	characteristic, complemented
106	#11718634	C₂²	1	1	yes	characteristic, complemented
107	#11718634	C₂²	1	1	yes	characteristic, complemented
108	#11718619	C₂²	1	1	yes	characteristic
109	#11718619	C₂²	1	1	yes	characteristic
110	#11718616	C₂²	1	1	yes	characteristic
111	#11718616	C₂²	1	1	yes	characteristic
112	#11718616	C₂²	1	1	yes	characteristic
113	#11718611	C₂²	1	1	yes	characteristic
114	#11718611	C₂²	1	1	yes	characteristic
115	#11718604	C₂²	1	1	yes	characteristic
116	#11718603	C₂²	1	1	yes	characteristic
117	#11718603	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
120	#11718601	C₂²	1	1	yes	characteristic, complemented
121	#11718601	C₂²	1	1	yes	characteristic, complemented
122	C₄×#6103	C₂²	1	1	yes	characteristic
123	C₄×#6103	C₂²	1	1	yes	characteristic
124	C₄×#6103	C₂²	1	1	yes	characteristic
125	C₄×#6103	C₂²	1	1	yes	characteristic
126	C₄×#6103	C₂²	1	1	yes	characteristic
127	C₄×#6103	C₂²	1	1	yes	characteristic
128	C₄×#6103	C₂²	1	1	yes	characteristic
129	C₄×#6103	C₂²	1	1	yes	characteristic
130	C₄×#6103	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	C₄×#6103	C₂²	1	1	yes	characteristic
133	C₄×#6103	C₂²	1	1	yes	characteristic
134	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
135	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
136	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
139	#11718594	C₂²	1	1	yes	characteristic, complemented
140	#11718594	C₂²	1	1	yes	characteristic, complemented
141	#11718593	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
145	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
147	#11718336	C₂²	1	1	yes	characteristic
148	#11718336	C₂²	1	1	yes	characteristic
149	#11718336	C₂²	1	1	yes	characteristic
150	#11718336	C₂²	1	1	yes	characteristic, complemented
151	#11718336	C₂²	1	1	yes	characteristic, complemented
152	#11718335	C₂²	1	1	yes	characteristic
153	#11718333	C₂²	1	1	yes	characteristic
154	#11718333	C₂²	1	1	yes	characteristic
155	#11718331	C₂²	1	1	yes	characteristic
156	#11718331	C₂²	1	1	yes	characteristic
157	#11718331	C₂²	1	1	yes	characteristic
158	#11718331	C₂²	1	1	yes	characteristic, complemented
159	#11718331	C₂²	1	1	yes	characteristic, complemented
160	#11718330	C₂²	1	1	yes	characteristic
161	#11718330	C₂²	1	1	yes	characteristic
162	#11718330	C₂²	1	1	yes	characteristic
163	#11718330	C₂²	1	1	yes	characteristic, complemented
164	#11718330	C₂²	1	1	yes	characteristic, complemented
165	#11718329	C₂²	1	1	yes	characteristic
166	#11718329	C₂²	1	1	yes	characteristic
167	#11718328	C₂²	1	1	yes	characteristic
168	#11718328	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic
170	#11718326	C₂²	1	1	yes	characteristic
171	#11718325	C₂²	1	1	yes	characteristic
172	#11718325	C₂²	1	1	yes	characteristic
173	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
174	#11718321	C₂²	1	1	yes	characteristic, complemented
175	#11718321	C₂²	1	1	yes	characteristic, complemented
176	#11718321	C₂²	1	1	yes	characteristic, complemented
177	#11718316	C₂²	1	1	yes	characteristic, complemented
178	#11718316	C₂²	1	1	yes	characteristic, complemented
179	#11718315	C₂²	1	1	yes	characteristic, complemented
180	#11718314	C₂²	1	1	yes	characteristic, complemented
181	#11718314	C₂²	1	1	yes	characteristic, complemented
182	#11718312	C₂²	1	1	yes	characteristic, complemented
183	#11718310	C₂²	1	1	yes	characteristic, complemented
184	#11718310	C₂²	1	1	yes	characteristic, complemented
185	#11718309	C₂²	1	1	yes	characteristic, complemented
186	#11718309	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂²×D₅₂	C₂³	1	1	yes	characteristic
197	C₂²×D₅₂	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	—	2	4	no	—
199	C₂²×C₄×D₁₃	—	2	4	no	—
200	C₂²×C₄×D₁₃	—	4	2	no	—
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	C₁₃×C₂²⋊Q₈	—	2	4	no	—
207	C₄×Q₈×C₁₃	—	4	2	no	—
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	—	4	2	no	—
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	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×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	#88201	—	2	4	no	—
234	C₄×C₂²⋊D₁₃	—	2	4	no	—
235	C₂×#6103	—	2	4	no	—
236	C₂×#6103	—	2	4	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×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×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	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	—	2	4	no	—
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	#88152	—	2	4	no	—
306	#88140	—	2	4	no	—
307	#88136	—	2	4	no	—
308	#88131	—	2	4	no	—
309	#88131	—	2	4	no	—
310	C₄×D₅₂	—	2	4	no	—
311	C₄×D₅₂	—	4	2	no	—
312	#88126	—	2	4	no	—
313	#88126	—	4	2	no	—
314	#88126	—	4	2	no	—
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	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	#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	#34806	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	—	2	2	no	—
366	C₂³×D₁₃	—	2	2	no	—
367	C₂³×D₁₃	—	2	2	no	—
368	C₂³×D₁₃	—	2	2	no	—
369	C₂³×D₁₃	—	2	2	no	—
370	C₂³×D₁₃	—	4	1	no	—
371	C₂³×D₁₃	—	4	1	no	—
372	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	4	1	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	4	1	no	—
384	C₂²×C₄×C₁₃	—	4	1	no	—
385	C₂²×C₄×C₁₃	—	4	1	no	—
386	C₂²×C₄×C₁₃	#41	1	4	yes	—
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂×C₂²⋊D₁₃	—	2	2	no	—
402	C₂×C₂²⋊D₁₃	—	2	2	no	—
403	C₂×C₂²⋊D₁₃	—	2	2	no	—
404	C₂²×Dic₁₃	—	2	2	no	—
405	C₂²×Dic₁₃	—	2	2	no	—
406	C₂²×Dic₁₃	—	2	2	no	—
407	C₂²×Dic₁₃	—	2	2	no	—
408	C₂²×Dic₁₃	—	2	2	no	—
409	C₂²×Dic₁₃	—	2	2	no	—
410	C₂²×Dic₁₃	—	4	1	no	—
411	C₂²×Dic₁₃	—	4	1	no	—
412	C₂²×Dic₁₃	#41	1	4	yes	—
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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
431	C₂×D₅₂	—	4	1	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
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	—	4	16	no	—
445	C₂×C₄×D₁₃	—	4	1	no	—
446	C₂×C₄×D₁₃	—	4	1	no	—
447	C₂×C₄×D₁₃	#41	1	4	yes	—
448	C₁₃×C₄⋊C₄	—	2	2	no	—
449	C₁₃×C₄⋊C₄	—	2	2	no	—
450	C₁₃×C₄⋊C₄	—	2	2	no	—
451	C₁₃×C₄⋊C₄	—	2	2	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	4	1	no	—
455	C₁₃×C₄⋊C₄	—	4	1	no	—
456	C₁₃×C₄⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
461	C₄²×C₁₃	—	2	2	no	—
462	C₄²×C₁₃	—	2	2	no	—
463	C₄²×C₁₃	—	2	2	no	—
464	C₄²×C₁₃	—	2	2	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	2	2	no	—
467	C₄²×C₁₃	—	4	1	no	—
468	C₄²×C₁₃	—	4	1	no	—
469	C₂²⋊Dic₁₃	—	2	2	no	—
470	C₂²⋊Dic₁₃	—	2	2	no	—
471	C₂²⋊Dic₁₃	—	2	2	no	—
472	#6103	—	2	2	no	—
473	#6103	—	2	2	no	—
474	#6103	—	2	2	no	—
475	#6103	—	2	2	no	—
476	#6103	—	2	2	no	—
477	#6103	—	2	2	no	—
478	#6103	—	2	2	no	—
479	#6103	—	2	2	no	—
480	#6103	—	2	2	no	—
481	#6103	—	2	2	no	—
482	#6103	—	2	2	no	—
483	#6103	—	2	2	no	—
484	#6103	—	2	2	no	—
485	#6103	—	2	2	no	—
486	#6103	—	2	2	no	—
487	#6103	—	2	2	no	—
488	#6103	—	2	2	no	—
489	#6103	—	2	2	no	—
490	#6103	—	2	2	no	—
491	#6103	—	2	2	no	—
492	#6103	—	2	2	no	—
493	#6103	—	4	1	no	—
494	#6103	—	4	1	no	—
495	#6103	—	4	1	no	—
496	#6103	—	4	1	no	—
497	#6103	—	4	1	no	—
498	#6103	—	4	1	no	—
499	#6103	—	4	1	no	—
500	#6103	—	4	1	no	—
501	#6103	—	4	1	no	—
502	#6103	—	4	1	no	—
503	#6103	—	4	1	no	—
504	#6103	#41	1	4	yes	—
505	C₄⋊Dic₁₃	—	2	2	no	—
506	C₄⋊Dic₁₃	—	2	2	no	—
507	C₄⋊Dic₁₃	—	2	2	no	—
508	C₄⋊Dic₁₃	—	2	2	no	—
509	C₄⋊Dic₁₃	—	4	1	no	—
510	C₄⋊Dic₁₃	—	4	1	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	2	2	no	—
516	#6101	—	2	2	no	—
517	#6101	—	2	2	no	—
518	#6101	—	2	2	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	#6101	—	4	1	no	—
522	#6101	—	4	1	no	—
523	#6101	—	4	1	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	2	2	no	—
528	C₄×Dic₁₃	—	2	2	no	—
529	C₄×Dic₁₃	—	2	2	no	—
530	C₄×Dic₁₃	—	2	2	no	—
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	—	2	2	no	—
536	C₄×Dic₁₃	—	2	2	no	—
537	C₄×Dic₁₃	—	4	1	no	—
538	C₄×Dic₁₃	—	4	1	no	—
539	#2531	—	13	1	no	—
540	#2530	—	13	1	no	—
541	#2527	—	13	1	no	—
542	#2526	—	13	1	no	—
543	#2522	—	13	1	no	—
544	#2521	—	13	1	no	—
545	#2516	—	13	1	no	—
546	#2515	—	13	1	no	—
547	#2510	—	13	1	no	—
548	#2505	—	13	1	no	—
549	#2498	—	13	1	no	—
550	#2482	—	13	1	no	—
551	#2480	—	13	1	no	—
552	#2472	—	13	1	no	—
553	#2438	—	13	1	no	—
554	#2411	—	13	1	no	—
555	#2401	—	13	1	no	—
556	#2396	—	13	1	no	—
557	#2395	—	13	1	no	—
558	#2395	—	13	1	no	—
559	C₄×#126	—	13	1	no	—
560	C₄×#124	—	13	1	no	—
561	C₄×C₂²⋊Q₈	D₁₃	1	1	yes	characteristic, complemented
562	C₄×#123	—	13	1	no	—
563	C₄×#120	—	13	1	no	—
564	#2298	—	13	1	no	—
565	#2293	—	13	1	no	—
566	#2290	—	13	1	no	—
567	#2280	—	13	1	no	—
568	C₄×#117	—	13	1	no	—
569	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	C₂×#41	1	2	yes	—
575	C₂³×C₁₃	C₂×#41	1	2	yes	—
576	C₂³×C₁₃	C₂×#41	1	2	yes	—
577	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
578	C₂²×D₁₃	—	2	8	no	—
579	C₂²×D₁₃	—	2	1	no	—
580	C₂²×D₁₃	—	2	1	no	—
581	C₂²×D₁₃	—	2	1	no	—
582	C₂²×D₁₃	—	2	1	no	—
583	C₂²×D₁₃	—	2	1	no	—
584	C₂²×D₁₃	—	2	1	no	—
585	C₂²×D₁₃	—	2	1	no	—
586	C₂²×D₁₃	—	2	1	no	—
587	C₂²×D₁₃	—	2	1	no	—
588	C₂²×D₁₃	—	2	1	no	—
589	C₂²×D₁₃	—	2	1	no	—
590	C₂²×D₁₃	—	2	1	no	—
591	C₂²×D₁₃	—	2	1	no	—
592	C₂²×D₁₃	—	2	1	no	—
593	C₂²×D₁₃	—	2	1	no	—
594	C₂²×D₁₃	—	2	1	no	—
595	C₂²×D₁₃	—	2	1	no	—
596	C₂²×D₁₃	—	2	1	no	—
597	C₂²×D₁₃	—	2	1	no	—
598	C₂²×D₁₃	—	4	4	no	—
599	C₂²×D₁₃	—	4	4	no	—
600	C₂²×D₁₃	—	4	4	no	—
601	C₂²×D₁₃	—	4	4	no	—
602	C₂²×D₁₃	—	4	4	no	—
603	C₂²×D₁₃	—	4	4	no	—
604	C₂²×D₁₃	C₂×#41	1	2	yes	—
605	C₂²×D₁₃	C₂×#41	1	2	yes	—
606	Q₈×C₁₃	—	4	4	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	8	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	4	no	—
644	C₂×C₄×C₁₃	—	4	4	no	—
645	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
646	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
647	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
649	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
650	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
651	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
652	C₂²⋊D₁₃	—	4	4	no	—
653	C₂×Dic₁₃	—	2	8	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	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	—	4	4	no	—
690	C₂×Dic₁₃	—	4	4	no	—
691	C₂×Dic₁₃	C₂×#41	1	2	yes	—
692	C₂×Dic₁₃	C₂×#41	1	2	yes	—
693	C₂×Dic₁₃	C₂×#41	1	2	yes	—
694	C₂×Dic₁₃	C₂×#41	1	2	yes	—
695	D₅₂	—	4	4	no	—
696	D₅₂	—	4	4	no	—
697	C₄×D₁₃	—	2	8	no	—
698	C₄×D₁₃	—	4	4	no	—
699	C₄×D₁₃	—	4	4	no	—
700	C₄×D₁₃	—	4	4	no	—
701	C₄×D₁₃	—	4	4	no	—
702	C₂⁴×C₄	—	13	1	no	—
703	C₂×#126	—	13	1	no	—
704	C₂×#124	—	13	1	no	—
705	C₂×#123	—	13	1	no	—
706	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
707	C₂×#120	—	13	1	no	—
708	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
709	C₂×C₄×D₄	—	13	1	no	—
710	C₂×C₄×D₄	—	13	1	no	—
711	C₂×C₄×D₄	—	13	1	no	—
712	C₂×#117	—	13	1	no	—
713	C₂×#117	—	13	1	no	—
714	C₂×#117	—	13	1	no	—
715	C₂×#117	—	13	1	no	—
716	C₂×#117	—	13	1	no	—
717	C₂²×C₂²⋊C₄	—	13	1	no	—
718	C₂²×C₂²⋊C₄	—	13	1	no	—
719	C₂²×C₄²	—	13	1	no	—
720	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
721	#401	—	13	1	no	—
722	#400	—	13	1	no	—
723	#400	—	13	1	no	—
724	#400	—	13	1	no	—
725	#400	—	13	1	no	—
726	#400	—	13	1	no	—
727	#400	—	13	1	no	—
728	#399	—	13	1	no	—
729	#399	—	13	1	no	—
730	#399	—	13	1	no	—
731	#398	—	13	1	no	—
732	#398	—	13	1	no	—
733	#398	—	13	1	no	—
734	#398	—	13	1	no	—
735	#397	—	13	1	no	—
736	#397	—	13	1	no	—
737	#397	—	13	1	no	—
738	#397	—	13	1	no	—
739	#397	—	13	1	no	—
740	#397	—	13	1	no	—
741	#397	—	13	1	no	—
742	#397	—	13	1	no	—
743	#397	—	13	1	no	—
744	#396	—	13	1	no	—
745	#396	—	13	1	no	—
746	#396	—	13	1	no	—
747	#395	—	13	1	no	—
748	#394	—	13	1	no	—
749	#394	—	13	1	no	—
750	#394	—	13	1	no	—
751	#394	—	13	1	no	—
752	#393	—	13	1	no	—
753	#391	—	13	1	no	—
754	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
755	#390	—	13	1	no	—
756	#390	—	13	1	no	—
757	#390	—	13	1	no	—
758	#389	—	13	1	no	—
759	#389	—	13	1	no	—
760	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	—	13	1	no	—
768	#388	—	13	1	no	—
769	#388	—	13	1	no	—
770	#388	—	13	1	no	—
771	#388	—	13	1	no	—
772	#388	—	13	1	no	—
773	#388	—	13	1	no	—
774	#388	—	13	1	no	—
775	#388	—	13	1	no	—
776	#388	—	13	1	no	—
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
784	#387	—	13	1	no	—
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
792	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
793	#386	—	13	1	no	—
794	#386	—	13	1	no	—
795	#386	—	13	1	no	—
796	#386	—	13	1	no	—
797	#386	—	13	1	no	—
798	#386	—	13	1	no	—
799	#385	—	13	1	no	—
800	#385	—	13	1	no	—
801	#385	—	13	1	no	—
802	#385	—	13	1	no	—
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	C₂×D₁₃	1	1	yes	characteristic
806	#385	C₂×D₁₃	1	1	yes	characteristic
807	#383	—	13	1	no	—
808	#382	—	13	1	no	—
809	#381	—	13	1	no	—
810	#381	—	13	1	no	—
811	#381	—	13	1	no	—
812	#380	—	13	1	no	—
813	#380	—	13	1	no	—
814	#380	—	13	1	no	—
815	#380	—	13	1	no	—
816	#380	C₂×D₁₃	1	1	yes	characteristic
817	#379	—	13	1	no	—
818	#379	—	13	1	no	—
819	#379	—	13	1	no	—
820	C₄×C₄⋊C₄	—	13	1	no	—
821	C₄×C₄⋊C₄	—	13	1	no	—
822	C₄×C₄⋊C₄	—	13	1	no	—
823	C₄×C₄⋊C₄	—	13	1	no	—
824	C₄×C₄⋊C₄	—	13	1	no	—
825	C₄×C₄⋊C₄	—	13	1	no	—
826	C₄×C₄⋊C₄	—	13	1	no	—
827	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
828	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
829	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
830	C₄×C₂²⋊C₄	—	13	1	no	—
831	C₄×C₂²⋊C₄	—	13	1	no	—
832	C₄×C₂²⋊C₄	—	13	1	no	—
833	C₄×C₂²⋊C₄	—	13	1	no	—
834	C₄×C₂²⋊C₄	—	13	1	no	—
835	C₄×C₂²⋊C₄	—	13	1	no	—
836	C₄×C₂²⋊C₄	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₄×C₂²⋊C₄	—	13	1	no	—
846	C₄×C₂²⋊C₄	—	13	1	no	—
847	C₄×C₂²⋊C₄	—	13	1	no	—
848	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
850	#376	—	13	1	no	—
851	#376	—	13	1	no	—
852	#376	—	13	1	no	—
853	C₂×#95	—	13	1	no	—
854	C₂×#95	—	13	1	no	—
855	C₄³	—	13	1	no	—
856	C₄³	—	13	1	no	—
857	C₂²×C₁₃	—	2	2	no	—
858	C₂²×C₁₃	—	2	2	no	—
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	2	2	no	—
863	C₂²×C₁₃	#529	1	4	yes	—
864	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
865	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
866	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
867	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
868	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
869	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
870	C₂²×C₁₃	#585	1	1	yes	characteristic
871	C₂×D₁₃	—	2	2	no	—
872	C₂×D₁₃	—	2	2	no	—
873	C₂×D₁₃	—	2	2	no	—
874	C₂×D₁₃	—	2	2	no	—
875	C₂×D₁₃	—	2	2	no	—
876	C₂×D₁₃	—	2	2	no	—
877	C₂×D₁₃	—	4	16	no	—
878	C₂×D₁₃	—	4	1	no	—
879	C₂×D₁₃	—	4	1	no	—
880	C₂×D₁₃	—	4	1	no	—
881	C₂×D₁₃	—	4	1	no	—
882	C₂×D₁₃	—	4	1	no	—
883	C₂×D₁₃	—	4	1	no	—
884	C₂×D₁₃	—	4	1	no	—
885	C₂×D₁₃	—	4	1	no	—
886	C₂×D₁₃	—	4	1	no	—
887	C₂×D₁₃	—	4	1	no	—
888	C₂×D₁₃	—	4	1	no	—
889	C₂×D₁₃	—	4	1	no	—
890	C₂×D₁₃	—	4	1	no	—
891	C₂×D₁₃	—	4	1	no	—
892	C₂×D₁₃	—	4	1	no	—
893	C₄×C₁₃	—	2	2	no	—
894	C₄×C₁₃	—	2	2	no	—
895	C₄×C₁₃	—	2	2	no	—
896	C₄×C₁₃	—	2	2	no	—
897	C₄×C₁₃	—	4	1	no	—
898	C₄×C₁₃	—	4	1	no	—
899	C₄×C₁₃	—	4	1	no	—
900	C₄×C₁₃	—	4	1	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₄×C₁₃	—	4	1	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	—	4	1	no	—
906	C₄×C₁₃	#551	1	4	yes	—
907	Dic₁₃	—	2	2	no	—
908	Dic₁₃	—	2	2	no	—
909	Dic₁₃	—	2	2	no	—
910	Dic₁₃	—	2	2	no	—
911	Dic₁₃	—	4	1	no	—
912	Dic₁₃	—	4	1	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	Dic₁₃	—	4	1	no	—
916	Dic₁₃	—	4	1	no	—
917	Dic₁₃	—	4	1	no	—
918	Dic₁₃	—	4	1	no	—
919	Dic₁₃	—	4	1	no	—
920	C₂⁵	—	13	1	no	—
921	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
922	C₂²×D₄	—	13	1	no	—
923	C₂²×D₄	—	13	1	no	—
924	C₂²×D₄	—	13	1	no	—
925	C₂³×C₄	—	13	1	no	—
926	C₂³×C₄	—	13	1	no	—
927	C₂³×C₄	—	13	1	no	—
928	C₂³×C₄	—	13	1	no	—
929	C₂³×C₄	—	13	1	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	26	4	no	—
934	C₂³×C₄	—	26	4	no	—
935	C₂³×C₄	—	52	2	no	—
936	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
939	#126	—	26	4	no	—
940	#124	—	26	4	no	—
941	#123	—	26	4	no	—
942	C₂²⋊Q₈	—	2	4	no	—
943	#120	—	26	4	no	—
944	C₄×Q₈	—	4	2	no	—
945	C₄×D₄	—	26	4	no	—
946	C₄×D₄	—	26	4	no	—
947	C₄×D₄	—	52	2	no	—
948	#117	—	26	4	no	—
949	#117	—	26	4	no	—
950	#117	—	26	4	no	—
951	#117	—	52	2	no	—
952	#117	—	52	2	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	13	1	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	1	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	26	4	no	—
1018	C₂×C₂²⋊C₄	—	26	4	no	—
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂×C₄²	—	4	2	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	26	4	no	—
1040	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1041	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1042	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	C₂²×D₁₃	1	1	yes	characteristic
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	#95	C₂²×D₁₃	1	1	yes	characteristic
1090	#95	C₂²×D₁₃	1	1	yes	characteristic
1091	#95	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₁₃	—	2	4	no	—
1097	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1098	C₂×C₁₃	#3444	1	1	yes	characteristic
1099	C₂×C₁₃	#3460	1	1	yes	characteristic
1100	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1101	C₂×C₁₃	#3475	1	1	yes	characteristic
1102	C₂×C₁₃	#3475	1	1	yes	characteristic
1103	C₂×C₁₃	#3481	1	1	yes	characteristic
1104	D₁₃	—	4	2	no	—
1105	D₁₃	—	4	2	no	—
1106	D₁₃	—	8	1	no	—
1107	C₂⁴	—	13	1	no	—
1108	C₂⁴	—	13	1	no	—
1109	C₂⁴	—	13	1	no	—
1110	C₂⁴	—	26	2	no	—
1111	C₂⁴	—	26	2	no	—
1112	C₂⁴	—	26	2	no	—
1113	C₂⁴	—	26	2	no	—
1114	C₂⁴	—	26	2	no	—
1115	C₂⁴	—	52	1	no	—
1116	C₂⁴	—	52	1	no	—
1117	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂×Q₈	—	2	2	no	—
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	4	1	no	—
1121	C₂×D₄	—	26	2	no	—
1122	C₂×D₄	—	26	2	no	—
1123	C₂×D₄	—	26	2	no	—
1124	C₂×D₄	—	26	2	no	—
1125	C₂×D₄	—	26	2	no	—
1126	C₂×D₄	—	26	2	no	—
1127	C₂×D₄	—	26	2	no	—
1128	C₂×D₄	—	52	1	no	—
1129	C₂×D₄	—	52	1	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	13	4	no	—
1139	C₂²×C₄	—	13	1	no	—
1140	C₂²×C₄	—	13	1	no	—
1141	C₂²×C₄	—	13	1	no	—
1142	C₂²×C₄	—	13	1	no	—
1143	C₂²×C₄	—	13	4	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	1	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	1	no	—
1151	C₂²×C₄	—	13	1	no	—
1152	C₂²×C₄	—	13	1	no	—
1153	C₂²×C₄	—	26	2	no	—
1154	C₂²×C₄	—	26	2	no	—
1155	C₂²×C₄	—	26	2	no	—
1156	C₂²×C₄	—	26	2	no	—
1157	C₂²×C₄	—	26	2	no	—
1158	C₂²×C₄	—	26	2	no	—
1159	C₂²×C₄	—	26	2	no	—
1160	C₂²×C₄	—	26	2	no	—
1161	C₂²×C₄	—	26	2	no	—
1162	C₂²×C₄	—	26	2	no	—
1163	C₂²×C₄	—	26	2	no	—
1164	C₂²×C₄	—	26	2	no	—
1165	C₂²×C₄	—	26	2	no	—
1166	C₂²×C₄	—	26	2	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	52	1	no	—
1172	C₂²×C₄	—	52	1	no	—
1173	C₂²×C₄	—	52	16	no	—
1174	C₂²×C₄	—	52	1	no	—
1175	C₂²×C₄	—	52	1	no	—
1176	C₂²×C₄	#6131	1	4	yes	—
1177	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	26	2	no	—
1201	C₄⋊C₄	—	26	2	no	—
1202	C₄⋊C₄	—	26	2	no	—
1203	C₄⋊C₄	—	26	2	no	—
1204	C₄⋊C₄	—	26	2	no	—
1205	C₄⋊C₄	—	26	2	no	—
1206	C₄⋊C₄	—	26	2	no	—
1207	C₄⋊C₄	—	26	2	no	—
1208	C₄⋊C₄	—	26	2	no	—
1209	C₄⋊C₄	—	26	2	no	—
1210	C₄⋊C₄	—	26	2	no	—
1211	C₄⋊C₄	—	26	2	no	—
1212	C₄⋊C₄	—	52	1	no	—
1213	C₄⋊C₄	—	52	1	no	—
1214	C₄⋊C₄	—	52	1	no	—
1215	C₄⋊C₄	—	52	1	no	—
1216	C₄⋊C₄	—	52	1	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	13	4	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	—	26	2	no	—
1234	C₂²⋊C₄	—	26	2	no	—
1235	C₂²⋊C₄	—	26	2	no	—
1236	C₂²⋊C₄	—	26	2	no	—
1237	C₂²⋊C₄	—	26	2	no	—
1238	C₂²⋊C₄	—	26	2	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	26	2	no	—
1242	C₂²⋊C₄	—	26	2	no	—
1243	C₂²⋊C₄	—	26	2	no	—
1244	C₂²⋊C₄	—	26	2	no	—
1245	C₂²⋊C₄	—	26	2	no	—
1246	C₂²⋊C₄	—	26	2	no	—
1247	C₂²⋊C₄	—	52	1	no	—
1248	C₂²⋊C₄	—	52	1	no	—
1249	C₂²⋊C₄	—	52	1	no	—
1250	C₂²⋊C₄	—	52	1	no	—
1251	C₂²⋊C₄	—	52	1	no	—
1252	C₂²⋊C₄	—	52	1	no	—
1253	C₂²⋊C₄	—	52	1	no	—
1254	C₂²⋊C₄	—	52	1	no	—
1255	C₂²⋊C₄	—	52	1	no	—
1256	C₂²⋊C₄	—	52	1	no	—
1257	C₂²⋊C₄	—	52	1	no	—
1258	C₂²⋊C₄	#6127	1	4	yes	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	2	2	no	—
1262	C₄²	—	2	2	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	2	2	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	26	2	no	—
1268	C₄²	—	26	2	no	—
1269	C₄²	—	26	2	no	—
1270	C₄²	—	26	2	no	—
1271	C₄²	—	26	2	no	—
1272	C₄²	—	26	2	no	—
1273	C₄²	—	26	2	no	—
1274	C₄²	—	26	2	no	—
1275	C₄²	—	26	2	no	—
1276	C₄²	—	26	2	no	—
1277	C₄²	—	26	2	no	—
1278	C₄²	—	26	2	no	—
1279	C₄²	—	26	2	no	—
1280	C₄²	—	52	1	no	—
1281	C₄²	—	52	1	no	—
1282	C₁₃	#34806	1	1	yes	characteristic, complemented, Sylow
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	13	2	no	—
1288	C₂³	—	13	2	no	—
1289	C₂³	—	26	8	no	—
1290	C₂³	—	26	1	no	—
1291	C₂³	—	26	1	no	—
1292	C₂³	—	26	1	no	—
1293	C₂³	—	26	1	no	—
1294	C₂³	—	26	1	no	—
1295	C₂³	—	26	1	no	—
1296	C₂³	—	26	1	no	—
1297	C₂³	—	26	1	no	—
1298	C₂³	—	26	1	no	—
1299	C₂³	—	26	1	no	—
1300	C₂³	—	26	1	no	—
1301	C₂³	—	26	1	no	—
1302	C₂³	—	26	1	no	—
1303	C₂³	—	26	1	no	—
1304	C₂³	—	26	1	no	—
1305	C₂³	—	26	1	no	—
1306	C₂³	—	26	1	no	—
1307	C₂³	—	26	1	no	—
1308	C₂³	—	26	1	no	—
1309	C₂³	—	52	4	no	—
1310	C₂³	—	52	4	no	—
1311	C₂³	—	52	4	no	—
1312	C₂³	—	52	4	no	—
1313	C₂³	—	52	4	no	—
1314	C₂³	—	52	4	no	—
1315	C₂³	C₂×#6127	1	2	yes	—
1316	C₂³	C₂×#6131	1	2	yes	—
1317	C₂³	#41×D₁₃	1	2	yes	—
1318	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1319	Q₈	—	4	4	no	—
1320	D₄	—	52	4	no	—
1321	D₄	—	52	4	no	—
1322	D₄	—	52	4	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	8	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	13	2	no	—
1362	C₂×C₄	—	13	2	no	—
1363	C₂×C₄	—	13	2	no	—
1364	C₂×C₄	—	13	2	no	—
1365	C₂×C₄	—	26	8	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	8	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	26	1	no	—
1380	C₂×C₄	—	26	1	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	52	4	no	—
1403	C₂×C₄	—	52	4	no	—
1404	C₂×C₄	—	52	4	no	—
1405	C₂×C₄	—	52	4	no	—
1406	C₂×C₄	—	52	4	no	—
1407	C₂×C₄	—	52	4	no	—
1408	C₂×C₄	C₂×#6127	1	2	yes	—
1409	C₂×C₄	C₂×#6127	1	2	yes	—
1410	C₂×C₄	#88251	1	2	yes	—
1411	C₂×C₄	C₂×#6131	1	2	yes	—
1412	C₂×C₄	C₂×#6131	1	2	yes	—
1413	C₂×C₄	#41×D₁₃	1	2	yes	—
1414	C₂×C₄	#41×D₁₃	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	26	2	no	—
1422	C₂²	—	26	2	no	—
1423	C₂²	—	26	2	no	—
1424	C₂²	—	26	2	no	—
1425	C₂²	—	26	2	no	—
1426	C₂²	—	26	2	no	—
1427	C₂²	—	52	16	no	—
1428	C₂²	—	52	1	no	—
1429	C₂²	—	52	1	no	—
1430	C₂²	—	52	1	no	—
1431	C₂²	—	52	1	no	—
1432	C₂²	—	52	1	no	—
1433	C₂²	—	52	1	no	—
1434	C₂²	—	52	1	no	—
1435	C₂²	—	52	1	no	—
1436	C₂²	—	52	1	no	—
1437	C₂²	—	52	1	no	—
1438	C₂²	—	52	1	no	—
1439	C₂²	—	52	1	no	—
1440	C₂²	—	52	1	no	—
1441	C₂²	—	52	1	no	—
1442	C₂²	—	52	1	no	—
1443	C₂²	#11719285	1	4	yes	—
1444	C₂²	C₂²×#6127	1	1	yes	characteristic
1445	C₂²	C₂×#88251	1	1	yes	characteristic
1446	C₂²	C₂²×#6131	1	1	yes	characteristic
1447	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1448	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1449	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1450	C₂²	#11719648	1	1	yes	characteristic
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	26	2	no	—
1465	C₄	—	26	2	no	—
1466	C₄	—	26	2	no	—
1467	C₄	—	26	2	no	—
1468	C₄	—	52	1	no	—
1469	C₄	—	52	1	no	—
1470	C₄	—	52	1	no	—
1471	C₄	—	52	1	no	—
1472	C₄	—	52	1	no	—
1473	C₄	—	52	1	no	—
1474	C₄	—	52	1	no	—
1475	C₄	—	52	1	no	—
1476	C₄	—	52	1	no	—
1477	C₄	#11719342	1	4	yes	—
1478	C₂	—	2	4	no	—
1479	C₂	—	52	2	no	—
1480	C₂	—	52	2	no	—
1481	C₂	—	104	1	no	—
1482	C₂	C₂×#11719285	1	1	yes	characteristic
1483	C₂	#13128130	1	1	yes	characteristic
1484	C₂	#13128254	1	1	yes	characteristic
1485	C₂	C₂×#11719342	1	1	yes	characteristic
1486	C₂	#13128398	1	1	yes	characteristic
1487	C₂	#13128403	1	1	yes	characteristic
1488	C₂	#13128440	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×C₂²⋊Q₈	C₂
prime radical	C₂×#88136	C₂²
hypercenter	C₄×C₂²⋊Q₈	D₁₃
hypocenter	C₁₃	#34806
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. #13119689	C₂	semidirect
2. #13119674	C₂	semidirect
3. #13119629	C₂	semidirect
4. #13119614	C₂	semidirect
5. #13119560	C₂	semidirect
6. #13119545	C₂	semidirect
7. #13119476	C₂	semidirect
8. #13119461	C₂	semidirect
9. #13119402	C₂	semidirect
10. #13119343	C₂	semidirect
11. #13119276	C₂	semidirect
12. #13119109	C₂	semidirect
13. #13119087	C₂	semidirect
15. #13118508	C₂	semidirect
17. #13118137	C₂	semidirect
18. #13118106	C₂	semidirect
19. #13118099	C₂	semidirect
20. #13118099	C₂	semidirect
21. C₄×#88152	C₂	semidirect
22. C₄×#88201	C₂	semidirect
23. C₄×#88140	C₂	semidirect
25. #13117329	C₂	semidirect
26. #13117297	C₂	semidirect
27. #13117279	C₂	semidirect
28. #13117217	C₂	semidirect
29. C₄×#88131	C₂	semidirect
30. C₂×C₄×#6103	C₂	semidirect
31. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
34. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
50. C₂×#88126	C₂²	semidirect
51. C₁₃×#391	C₂²	semidirect
52. C₁₃×#389	C₂²	semidirect
53. C₁₃×#387	C₂²	semidirect
54. C₁₃×#387	C₂²	semidirect
58. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
59. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
60. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
64. #11718891	C₂²	semidirect
65. #11718890	C₂²	semidirect
78. #11718654	C₂²	semidirect
81. #11718653	C₂²	semidirect
89. #11718651	C₂²	semidirect
90. #11718651	C₂²	semidirect
94. #11718647	C₂²	semidirect
95. #11718645	C₂²	semidirect
96. #11718645	C₂²	semidirect
97. #11718645	C₂²	semidirect
98. #11718645	C₂²	semidirect
99. #11718643	C₂²	semidirect
100. #11718643	C₂²	semidirect
101. #11718642	C₂²	semidirect
102. #11718639	C₂²	semidirect
103. #11718639	C₂²	semidirect
104. #11718639	C₂²	semidirect
105. #11718638	C₂²	semidirect
106. #11718634	C₂²	semidirect
107. #11718634	C₂²	semidirect
120. #11718601	C₂²	semidirect
121. #11718601	C₂²	semidirect
134. C₄×#6103	C₂²	semidirect
135. C₄×#6103	C₂²	semidirect
136. C₄×#6103	C₂²	semidirect
137. C₄×C₄⋊Dic₁₃	C₂²	semidirect
138. C₄×C₄⋊Dic₁₃	C₂²	semidirect
139. #11718594	C₂²	semidirect
140. #11718594	C₂²	semidirect
141. #11718593	C₂²	semidirect
142. C₄×#6101	C₂²	semidirect
143. C₄×#6101	C₂²	semidirect
144. C₄×#6101	C₂²	semidirect
145. C₄²×Dic₁₃	C₂²	semidirect
146. C₄²×Dic₁₃	C₂²	semidirect
150. #11718336	C₂²	semidirect
151. #11718336	C₂²	semidirect
158. #11718331	C₂²	semidirect
159. #11718331	C₂²	semidirect
163. #11718330	C₂²	semidirect
164. #11718330	C₂²	semidirect
173. C₁₃⋊#401	C₂²	semidirect
174. #11718321	C₂²	semidirect
175. #11718321	C₂²	semidirect
176. #11718321	C₂²	semidirect
177. #11718316	C₂²	semidirect
178. #11718316	C₂²	semidirect
179. #11718315	C₂²	semidirect
180. #11718314	C₂²	semidirect
181. #11718314	C₂²	semidirect
182. #11718312	C₂²	semidirect
183. #11718310	C₂²	semidirect
184. #11718310	C₂²	semidirect
185. #11718309	C₂²	semidirect
186. #11718309	C₂²	semidirect
561. C₄×C₂²⋊Q₈	D₁₃	semidirect
708. C₂×C₄×Q₈	C₂×D₁₃	semidirect
754. #391	C₂×D₁₃	semidirect
760. #389	C₂×D₁₃	semidirect
791. #387	C₂×D₁₃	semidirect
792. #387	C₂×D₁₃	semidirect
827. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
828. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
829. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
1282. C₁₃	#34806	semidirect

Maximal subgroups

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

subgroup	index
#13119689	2
#13119674	2
#13119629	2
#13119614	2
#13119560	2
#13119545	2
#13119476	2
#13119461	2
#13119402	2
#13119343	2
#13119276	2
#13119109	2
#13119087	2
#13118969	2
#13118508	2
#13118219	2
#13118137	2
#13118106	2
#13118099	2
C₄×#88152	2
C₄×#88201	2
C₄×#88140	2
C₄×#88136	2
#13117329	2
#13117297	2
#13117279	2
#13117217	2
C₄×#88131	2
C₂×C₄×#6103	2
C₄×C₁₃×C₂²⋊Q₈	2
#34806	13