Subgroups — #16070838

Order 3328.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123186	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123142	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122713	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122706	C₂	1	1	yes	maximal, characteristic, complemented
5	#13122530	C₂	1	1	yes	maximal, characteristic, complemented
6	#13122519	C₂	1	1	yes	maximal, characteristic, complemented
7	#13122370	C₂	1	1	yes	maximal, characteristic, complemented
8	#13122358	C₂	1	1	yes	maximal, characteristic, complemented
9	#13122135	C₂	1	1	yes	maximal, characteristic, complemented
10	#13122124	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121778	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121778	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121777	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121774	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121736	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121731	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121667	C₂	1	1	yes	maximal, characteristic, complemented
18	#13121660	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120647	C₂	1	1	yes	maximal, characteristic
20	#13120647	C₂	1	1	yes	maximal, characteristic
21	#13119337	C₂	1	1	yes	maximal, characteristic, complemented
22	#13119089	C₂	1	1	yes	maximal, characteristic
23	#13119087	C₂	1	1	yes	maximal, characteristic
24	#13119084	C₂	1	1	yes	maximal, characteristic
25	#13119082	C₂	1	1	yes	maximal, characteristic
26	#13118976	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118974	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117567	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117564	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718331	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2505	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6103	C₂²	1	1	yes	characteristic
33	C₂²×#6103	C₂²	1	1	yes	characteristic
34	C₂²×#6103	C₂²	1	1	yes	characteristic
35	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
36	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
37	C₂×#88152	C₂²	1	1	yes	characteristic
38	C₂×#88152	C₂²	1	1	yes	characteristic
39	C₂×#88152	C₂²	1	1	yes	characteristic
40	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88132	C₂²	1	1	yes	characteristic
45	C₂×#88132	C₂²	1	1	yes	characteristic
46	C₂×#88130	C₂²	1	1	yes	characteristic
47	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#385	C₂²	1	1	yes	characteristic
55	C₁₃×#385	C₂²	1	1	yes	characteristic
56	C₁₃×#385	C₂²	1	1	yes	characteristic
57	C₁₃×#385	C₂²	1	1	yes	characteristic
58	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#380	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
62	#11718873	C₂²	1	1	yes	characteristic
63	#11718871	C₂²	1	1	yes	characteristic
64	#11718871	C₂²	1	1	yes	characteristic
65	#11718871	C₂²	1	1	yes	characteristic
66	#11718871	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
68	C₂×#88071	C₂²	1	1	yes	characteristic
69	#11718655	C₂²	1	1	yes	characteristic
70	#11718655	C₂²	1	1	yes	characteristic
71	#11718655	C₂²	1	1	yes	characteristic
72	#11718655	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
79	#11718653	C₂²	1	1	yes	characteristic
80	#11718653	C₂²	1	1	yes	characteristic
81	#11718653	C₂²	1	1	yes	characteristic
82	#11718653	C₂²	1	1	yes	characteristic
83	#11718651	C₂²	1	1	yes	characteristic
84	#11718651	C₂²	1	1	yes	characteristic
85	#11718651	C₂²	1	1	yes	characteristic
86	#11718647	C₂²	1	1	yes	characteristic, complemented
87	#11718646	C₂²	1	1	yes	characteristic, complemented
88	#11718646	C₂²	1	1	yes	characteristic, complemented
89	#11718645	C₂²	1	1	yes	characteristic, complemented
90	#11718645	C₂²	1	1	yes	characteristic, complemented
91	#11718644	C₂²	1	1	yes	characteristic, complemented
92	#11718642	C₂²	1	1	yes	characteristic, complemented
93	#11718642	C₂²	1	1	yes	characteristic, complemented
94	#11718639	C₂²	1	1	yes	characteristic, complemented
95	#11718639	C₂²	1	1	yes	characteristic, complemented
96	#11718637	C₂²	1	1	yes	characteristic, complemented
97	#11718635	C₂²	1	1	yes	characteristic, complemented
98	#11718634	C₂²	1	1	yes	characteristic, complemented
99	#11718634	C₂²	1	1	yes	characteristic, complemented
100	#11718633	C₂²	1	1	yes	characteristic, complemented
101	#11718633	C₂²	1	1	yes	characteristic, complemented
102	#11718616	C₂²	1	1	yes	characteristic
103	#11718616	C₂²	1	1	yes	characteristic
104	#11718616	C₂²	1	1	yes	characteristic
105	#11718616	C₂²	1	1	yes	characteristic
106	#11718611	C₂²	1	1	yes	characteristic
107	#11718611	C₂²	1	1	yes	characteristic
108	#11718607	C₂²	1	1	yes	characteristic
109	#11718607	C₂²	1	1	yes	characteristic
110	#11718603	C₂²	1	1	yes	characteristic
111	#11718603	C₂²	1	1	yes	characteristic
112	#11718603	C₂²	1	1	yes	characteristic
113	#11718603	C₂²	1	1	yes	characteristic
114	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	#11718601	C₂²	1	1	yes	characteristic
117	#11718601	C₂²	1	1	yes	characteristic
118	#11718601	C₂²	1	1	yes	characteristic
119	#11718594	C₂²	1	1	yes	characteristic, complemented
120	#11718594	C₂²	1	1	yes	characteristic, complemented
121	#11718590	C₂²	1	1	yes	characteristic, complemented
122	#11718589	C₂²	1	1	yes	characteristic, complemented
123	#11718337	C₂²	1	1	yes	characteristic
124	#11718337	C₂²	1	1	yes	characteristic
125	#11718337	C₂²	1	1	yes	characteristic
126	#11718337	C₂²	1	1	yes	characteristic
127	#11718337	C₂²	1	1	yes	characteristic
128	#11718336	C₂²	1	1	yes	characteristic
129	#11718336	C₂²	1	1	yes	characteristic
130	#11718336	C₂²	1	1	yes	characteristic
131	#11718336	C₂²	1	1	yes	characteristic
132	#11718336	C₂²	1	1	yes	characteristic
133	#11718336	C₂²	1	1	yes	characteristic
134	#11718335	C₂²	1	1	yes	characteristic
135	#11718335	C₂²	1	1	yes	characteristic
136	#11718335	C₂²	1	1	yes	characteristic
137	#11718334	C₂²	1	1	yes	characteristic
138	#11718334	C₂²	1	1	yes	characteristic
139	#11718334	C₂²	1	1	yes	characteristic
140	#11718334	C₂²	1	1	yes	characteristic
141	#11718331	C₂²	1	1	yes	characteristic
142	#11718331	C₂²	1	1	yes	characteristic
143	#11718331	C₂²	1	1	yes	characteristic
144	#11718331	C₂²	1	1	yes	characteristic
145	#11718331	C₂²	1	1	yes	characteristic
146	#11718331	C₂²	1	1	yes	characteristic
147	#11718331	C₂²	1	1	yes	characteristic
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718331	C₂²	1	1	yes	characteristic
151	#11718331	C₂²	1	1	yes	characteristic
152	#11718330	C₂²	1	1	yes	characteristic
153	#11718330	C₂²	1	1	yes	characteristic
154	#11718330	C₂²	1	1	yes	characteristic
155	#11718322	C₂²	1	1	yes	characteristic, complemented
156	#11718322	C₂²	1	1	yes	characteristic, complemented
157	#11718320	C₂²	1	1	yes	characteristic, complemented
158	#11718320	C₂²	1	1	yes	characteristic, complemented
159	#11718319	C₂²	1	1	yes	characteristic, complemented
160	#11718319	C₂²	1	1	yes	characteristic, complemented
161	#11718318	C₂²	1	1	yes	characteristic, complemented
162	#11718318	C₂²	1	1	yes	characteristic, complemented
163	#11718316	C₂²	1	1	yes	characteristic, complemented
164	#11718316	C₂²	1	1	yes	characteristic, complemented
165	#11718315	C₂²	1	1	yes	characteristic, complemented
166	#11718315	C₂²	1	1	yes	characteristic, complemented
167	#11718314	C₂²	1	1	yes	characteristic, complemented
168	#11718314	C₂²	1	1	yes	characteristic, complemented
169	#11718314	C₂²	1	1	yes	characteristic, complemented
170	#11718314	C₂²	1	1	yes	characteristic, complemented
171	#11718313	C₂²	1	1	yes	characteristic, complemented
172	#11718313	C₂²	1	1	yes	characteristic, complemented
173	#11718313	C₂²	1	1	yes	characteristic, complemented
174	#11718313	C₂²	1	1	yes	characteristic, complemented
175	#11718311	C₂²	1	1	yes	characteristic, complemented
176	#11718311	C₂²	1	1	yes	characteristic, complemented
177	#11718308	C₂²	1	1	yes	characteristic, complemented
178	#11718308	C₂²	1	1	yes	characteristic, complemented
179	#11718308	C₂²	1	1	yes	characteristic, complemented
180	#11718308	C₂²	1	1	yes	characteristic, complemented
181	#11718308	C₂²	1	1	yes	characteristic, complemented
182	#11718308	C₂²	1	1	yes	characteristic, complemented
183	#11718307	C₂²	1	1	yes	characteristic, complemented
184	#11718307	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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
194	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
216	C₂×#6103	—	2	4	no	—
217	C₂×#6103	—	4	2	no	—
218	C₂×#6103	—	4	2	no	—
219	C₂×#6103	C₂³	1	1	yes	characteristic
220	C₂×#6103	C₂³	1	1	yes	characteristic
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	C₂³	1	1	yes	characteristic
223	C₂×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂³	1	1	yes	characteristic
233	C₂×#6103	C₂³	1	1	yes	characteristic
234	C₂×#6103	C₂³	1	1	yes	characteristic
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₁₃	—	4	2	no	—
248	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	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×C₄×Dic₁₃	—	4	2	no	—
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	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	#88152	—	4	2	no	—
296	#88152	—	4	2	no	—
297	#88152	—	4	2	no	—
298	#88144	—	4	2	no	—
299	#88143	—	4	2	no	—
300	#88143	—	4	2	no	—
301	#88142	—	4	2	no	—
302	#88132	—	2	4	no	—
303	#88132	—	2	4	no	—
304	#88130	—	4	2	no	—
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
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	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#36760	—	13	1	no	maximal, Sylow
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₃	—	2	2	no	—
360	C₂³×D₁₃	—	2	2	no	—
361	C₂³×D₁₃	—	2	2	no	—
362	C₂³×D₁₃	—	4	1	no	—
363	C₂³×D₁₃	—	4	1	no	—
364	C₂³×D₁₃	—	4	1	no	—
365	C₂³×D₁₃	—	4	1	no	—
366	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	4	1	no	—
373	C₂²×C₄×C₁₃	—	4	1	no	—
374	C₂²×C₄×C₁₃	—	4	1	no	—
375	C₂²×C₄×C₁₃	—	4	1	no	—
376	C₂²×C₄×C₁₃	—	4	1	no	—
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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×Dic₁₃	—	2	2	no	—
392	C₂²×Dic₁₃	—	2	2	no	—
393	C₂²×Dic₁₃	—	2	2	no	—
394	C₂²×Dic₁₃	—	4	1	no	—
395	C₂²×Dic₁₃	—	4	1	no	—
396	C₂²×Dic₁₃	—	4	1	no	—
397	C₂²×Dic₁₃	—	4	1	no	—
398	C₂²×Dic₁₃	—	4	1	no	—
399	C₂²×Dic₁₃	#41	1	4	yes	—
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₂₆	—	2	2	no	—
415	C₂×Dic₂₆	—	2	2	no	—
416	C₂×Dic₂₆	—	4	1	no	—
417	C₂×Dic₂₆	—	4	1	no	—
418	C₂×Dic₂₆	—	4	1	no	—
419	C₂×Dic₂₆	—	4	1	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	4	1	no	—
423	C₁₃×C₄⋊C₄	—	4	1	no	—
424	C₁₃×C₄⋊C₄	—	4	1	no	—
425	C₁₃×C₄⋊C₄	—	4	1	no	—
426	C₁₃×C₄⋊C₄	—	4	1	no	—
427	C₁₃×C₄⋊C₄	—	4	1	no	—
428	C₁₃×C₄⋊C₄	—	4	1	no	—
429	C₁₃×C₄⋊C₄	—	4	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₄²×C₁₃	—	4	1	no	—
435	C₄²×C₁₃	—	4	1	no	—
436	C₂²⋊Dic₁₃	—	2	2	no	—
437	C₂²⋊Dic₁₃	—	2	2	no	—
438	C₂²⋊Dic₁₃	—	2	2	no	—
439	C₂²⋊Dic₁₃	—	2	2	no	—
440	#6103	—	2	2	no	—
441	#6103	—	2	2	no	—
442	#6103	—	2	2	no	—
443	#6103	—	2	2	no	—
444	#6103	—	2	2	no	—
445	#6103	—	2	2	no	—
446	#6103	—	2	2	no	—
447	#6103	—	2	2	no	—
448	#6103	—	4	1	no	—
449	#6103	—	4	1	no	—
450	#6103	—	4	1	no	—
451	#6103	—	4	1	no	—
452	#6103	—	4	1	no	—
453	#6103	—	4	1	no	—
454	#6103	—	4	1	no	—
455	#6103	—	4	1	no	—
456	#6103	—	4	1	no	—
457	#6103	—	4	1	no	—
458	#6103	—	4	1	no	—
459	#6103	—	4	1	no	—
460	#6103	—	4	1	no	—
461	#6103	—	4	1	no	—
462	#6103	—	4	1	no	—
463	#6103	—	4	1	no	—
464	#6103	—	4	1	no	—
465	#6103	—	4	1	no	—
466	#6103	—	4	1	no	—
467	#6103	—	4	1	no	—
468	C₄⋊Dic₁₃	—	2	2	no	—
469	C₄⋊Dic₁₃	—	2	2	no	—
470	C₄⋊Dic₁₃	—	2	2	no	—
471	C₄⋊Dic₁₃	—	2	2	no	—
472	C₄⋊Dic₁₃	—	2	2	no	—
473	C₄⋊Dic₁₃	—	2	2	no	—
474	C₄⋊Dic₁₃	—	4	1	no	—
475	C₄⋊Dic₁₃	—	4	1	no	—
476	C₄⋊Dic₁₃	—	4	1	no	—
477	C₄⋊Dic₁₃	—	4	1	no	—
478	C₄⋊Dic₁₃	—	4	1	no	—
479	C₄⋊Dic₁₃	—	4	1	no	—
480	#6101	—	2	2	no	—
481	#6101	—	2	2	no	—
482	#6101	—	2	2	no	—
483	#6101	—	2	2	no	—
484	#6101	—	2	2	no	—
485	#6101	—	2	2	no	—
486	#6101	—	2	2	no	—
487	#6101	—	2	2	no	—
488	#6101	—	4	1	no	—
489	#6101	—	4	1	no	—
490	#6101	—	4	1	no	—
491	#6101	—	4	1	no	—
492	#6101	—	4	1	no	—
493	#6101	—	4	1	no	—
494	#6101	—	4	1	no	—
495	#6101	—	4	1	no	—
496	#6101	—	4	1	no	—
497	#6101	—	4	1	no	—
498	#6101	—	4	1	no	—
499	#6101	—	4	1	no	—
500	#6101	—	4	1	no	—
501	#6101	—	4	1	no	—
502	#6101	—	4	1	no	—
503	#6101	—	4	1	no	—
504	C₄×Dic₁₃	—	2	2	no	—
505	C₄×Dic₁₃	—	2	2	no	—
506	C₄×Dic₁₃	—	4	1	no	—
507	C₄×Dic₁₃	—	4	1	no	—
508	C₄×Dic₁₃	—	4	1	no	—
509	C₄×Dic₁₃	—	4	1	no	—
510	C₄×Dic₁₃	—	4	1	no	—
511	C₄×Dic₁₃	—	4	1	no	—
512	C₄×Dic₁₃	—	4	1	no	—
513	C₄×Dic₁₃	—	4	1	no	—
514	#2857	—	13	1	no	—
515	#2851	—	13	1	no	—
516	#2798	—	13	1	no	—
517	#2798	—	13	1	no	—
518	#2783	—	13	1	no	—
519	#2783	—	13	1	no	—
520	#2772	—	13	1	no	—
521	#2772	—	13	1	no	—
522	#2754	—	13	1	no	—
523	#2754	—	13	1	no	—
524	#2725	—	13	1	no	—
525	#2725	—	13	1	no	—
526	#2725	—	13	1	no	—
527	#2725	—	13	1	no	—
528	#2721	—	13	1	no	—
529	#2721	—	13	1	no	—
530	#2716	—	13	1	no	—
531	#2716	—	13	1	no	—
532	#2626	—	13	1	no	—
533	#2626	—	13	1	no	—
534	#2505	—	13	1	no	—
535	#2505	D₁₃	1	1	yes	characteristic, complemented
536	#2480	—	13	1	no	—
537	#2480	—	13	1	no	—
538	#2480	—	13	1	no	—
539	#2480	—	13	1	no	—
540	#2473	—	13	1	no	—
541	#2473	—	13	1	no	—
542	#2329	—	13	1	no	—
543	#2329	—	13	1	no	—
544	C₂×#388	—	13	1	no	—
545	C₂³×C₁₃	—	2	1	no	—
546	C₂³×C₁₃	—	2	1	no	—
547	C₂³×C₁₃	—	2	1	no	—
548	C₂³×C₁₃	—	2	1	no	—
549	C₂³×C₁₃	C₂×#41	1	2	yes	—
550	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
551	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
552	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
553	C₂²×D₁₃	—	2	1	no	—
554	C₂²×D₁₃	—	2	1	no	—
555	C₂²×D₁₃	—	2	1	no	—
556	C₂²×D₁₃	—	2	1	no	—
557	C₂²×D₁₃	—	2	1	no	—
558	C₂²×D₁₃	—	2	1	no	—
559	C₂²×D₁₃	—	2	1	no	—
560	C₂²×D₁₃	—	2	1	no	—
561	C₂²×D₁₃	—	2	1	no	—
562	C₂²×D₁₃	—	2	1	no	—
563	C₂²×D₁₃	—	2	1	no	—
564	C₂²×D₁₃	—	2	1	no	—
565	C₂²×D₁₃	—	2	1	no	—
566	C₂²×D₁₃	—	2	1	no	—
567	C₂²×D₁₃	—	4	4	no	—
568	C₂²×D₁₃	—	4	4	no	—
569	C₂²×D₁₃	—	4	4	no	—
570	C₂²×D₁₃	—	8	2	no	—
571	C₂²×D₁₃	—	8	2	no	—
572	C₂²×D₁₃	—	8	2	no	—
573	C₂²×D₁₃	—	8	2	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	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	—	4	4	no	—
616	C₂×C₄×C₁₃	—	4	4	no	—
617	C₂×C₄×C₁₃	—	8	2	no	—
618	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	—	2	1	no	—
629	C₂×Dic₁₃	—	2	1	no	—
630	C₂×Dic₁₃	—	2	1	no	—
631	C₂×Dic₁₃	—	2	1	no	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	1	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	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	—	4	4	no	—
659	C₂×Dic₁₃	—	4	4	no	—
660	C₂×Dic₁₃	—	8	2	no	—
661	C₂×Dic₁₃	C₂×#41	1	2	yes	—
662	C₂×Dic₁₃	C₂×#41	1	2	yes	—
663	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
664	Dic₂₆	—	8	2	no	—
665	Dic₂₆	—	8	2	no	—
666	C₂×C₄⋊Q₈	—	13	1	no	—
667	C₂×#126	—	13	1	no	—
668	C₂×#126	—	13	1	no	—
669	C₂×#126	—	13	1	no	—
670	C₂×#126	—	13	1	no	—
671	C₂×#125	—	13	1	no	—
672	C₂×#125	—	13	1	no	—
673	C₂×#125	—	13	1	no	—
674	C₂×C₂²⋊Q₈	—	13	1	no	—
675	C₂×C₂²⋊Q₈	—	13	1	no	—
676	C₂²×C₄⋊C₄	—	13	1	no	—
677	C₂²×C₂²⋊C₄	—	13	1	no	—
678	C₂²×C₂²⋊C₄	—	13	1	no	—
679	C₂²×C₂²⋊C₄	—	13	1	no	—
680	C₂²×C₄²	—	13	1	no	—
681	#400	—	13	1	no	—
682	#400	—	13	1	no	—
683	#400	—	13	1	no	—
684	#400	—	13	1	no	—
685	#400	—	13	1	no	—
686	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
687	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
688	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
689	#399	—	13	1	no	—
690	#399	—	13	1	no	—
691	#399	—	13	1	no	—
692	#399	—	13	1	no	—
693	#398	—	13	1	no	—
694	#398	—	13	1	no	—
695	#398	—	13	1	no	—
696	#398	—	13	1	no	—
697	#398	—	13	1	no	—
698	#398	—	13	1	no	—
699	#398	—	13	1	no	—
700	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
701	#397	—	13	1	no	—
702	#397	—	13	1	no	—
703	#397	—	13	1	no	—
704	#397	—	13	1	no	—
705	#397	—	13	1	no	—
706	#397	—	13	1	no	—
707	#397	—	13	1	no	—
708	#397	—	13	1	no	—
709	#397	—	13	1	no	—
710	#397	—	13	1	no	—
711	#397	—	13	1	no	—
712	#397	—	13	1	no	—
713	#396	—	13	1	no	—
714	#396	—	13	1	no	—
715	#396	—	13	1	no	—
716	#396	—	13	1	no	—
717	#396	—	13	1	no	—
718	#396	—	13	1	no	—
719	#396	—	13	1	no	—
720	#396	—	13	1	no	—
721	#396	—	13	1	no	—
722	#396	—	13	1	no	—
723	#396	—	13	1	no	—
724	#396	—	13	1	no	—
725	#393	—	13	1	no	—
726	#393	—	13	1	no	—
727	#393	—	13	1	no	—
728	#393	—	13	1	no	—
729	#391	—	13	1	no	—
730	#391	—	13	1	no	—
731	#391	—	13	1	no	—
732	#391	—	13	1	no	—
733	#391	—	13	1	no	—
734	#391	—	13	1	no	—
735	#389	—	13	1	no	—
736	#389	—	13	1	no	—
737	#389	—	13	1	no	—
738	#389	—	13	1	no	—
739	#389	—	13	1	no	—
740	#389	—	13	1	no	—
741	#389	—	13	1	no	—
742	#389	—	13	1	no	—
743	#389	—	13	1	no	—
744	#389	—	13	1	no	—
745	#389	—	13	1	no	—
746	#389	—	13	1	no	—
747	#389	—	13	1	no	—
748	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
749	#388	—	13	1	no	—
750	#388	—	13	1	no	—
751	#388	—	13	1	no	—
752	#388	—	13	1	no	—
753	#388	—	13	1	no	—
754	#388	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
760	#388	—	13	1	no	—
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	#387	—	13	1	no	—
770	#387	—	13	1	no	—
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	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	C₂×D₁₃	1	1	yes	characteristic, complemented
788	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
789	#385	—	13	1	no	—
790	#385	—	13	1	no	—
791	#385	—	13	1	no	—
792	#385	—	13	1	no	—
793	#385	—	13	1	no	—
794	#385	—	13	1	no	—
795	#385	—	13	1	no	—
796	#385	—	13	1	no	—
797	#385	C₂×D₁₃	1	1	yes	characteristic
798	#385	C₂×D₁₃	1	1	yes	characteristic
799	#385	C₂×D₁₃	1	1	yes	characteristic
800	#385	C₂×D₁₃	1	1	yes	characteristic
801	#384	—	13	1	no	—
802	#382	—	13	1	no	—
803	#382	—	13	1	no	—
804	#382	C₂×D₁₃	1	1	yes	characteristic, complemented
805	#380	—	13	1	no	—
806	#380	—	13	1	no	—
807	#380	—	13	1	no	—
808	#380	—	13	1	no	—
809	#380	—	13	1	no	—
810	#380	C₂×D₁₃	1	1	yes	characteristic
811	#379	—	13	1	no	—
812	#379	—	13	1	no	—
813	#379	—	13	1	no	—
814	#379	—	13	1	no	—
815	C₄×C₂²⋊C₄	—	13	1	no	—
816	C₄×C₂²⋊C₄	—	13	1	no	—
817	C₄×C₂²⋊C₄	—	13	1	no	—
818	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
819	C₂×#95	—	13	1	no	—
820	C₂×#95	C₂×D₁₃	1	1	yes	characteristic
821	C₂²×C₁₃	—	2	2	no	—
822	C₂²×C₁₃	—	2	2	no	—
823	C₂²×C₁₃	—	2	2	no	—
824	C₂²×C₁₃	—	2	2	no	—
825	C₂²×C₁₃	—	2	2	no	—
826	C₂²×C₁₃	—	2	2	no	—
827	C₂²×C₁₃	#541	1	4	yes	—
828	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
829	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
830	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
831	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
832	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
833	C₂²×C₁₃	#585	1	1	yes	characteristic
834	C₂²×C₁₃	#585	1	1	yes	characteristic
835	C₂×D₁₃	—	4	1	no	—
836	C₂×D₁₃	—	4	1	no	—
837	C₂×D₁₃	—	4	1	no	—
838	C₂×D₁₃	—	4	1	no	—
839	C₂×D₁₃	—	4	1	no	—
840	C₂×D₁₃	—	4	1	no	—
841	C₂×D₁₃	—	4	1	no	—
842	C₂×D₁₃	—	4	1	no	—
843	C₂×D₁₃	—	4	1	no	—
844	C₂×D₁₃	—	4	1	no	—
845	C₂×D₁₃	—	4	1	no	—
846	C₂×D₁₃	—	4	1	no	—
847	C₂×D₁₃	—	4	1	no	—
848	C₂×D₁₃	—	4	1	no	—
849	C₂×D₁₃	—	8	8	no	—
850	C₄×C₁₃	—	2	2	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	—	4	1	no	—
853	C₄×C₁₃	—	4	1	no	—
854	C₄×C₁₃	—	4	1	no	—
855	C₄×C₁₃	—	4	1	no	—
856	C₄×C₁₃	—	4	1	no	—
857	C₄×C₁₃	—	4	1	no	—
858	C₄×C₁₃	—	4	1	no	—
859	C₄×C₁₃	—	4	1	no	—
860	C₄×C₁₃	—	4	1	no	—
861	C₄×C₁₃	—	4	1	no	—
862	C₄×C₁₃	—	4	1	no	—
863	C₄×C₁₃	—	4	1	no	—
864	Dic₁₃	—	2	2	no	—
865	Dic₁₃	—	2	2	no	—
866	Dic₁₃	—	2	2	no	—
867	Dic₁₃	—	4	1	no	—
868	Dic₁₃	—	4	1	no	—
869	Dic₁₃	—	4	1	no	—
870	Dic₁₃	—	4	1	no	—
871	Dic₁₃	—	4	1	no	—
872	Dic₁₃	—	4	1	no	—
873	Dic₁₃	—	4	1	no	—
874	Dic₁₃	—	4	1	no	—
875	Dic₁₃	—	4	1	no	—
876	Dic₁₃	—	4	1	no	—
877	Dic₁₃	—	4	1	no	—
878	C₂⁵	—	13	1	no	—
879	C₂²×Q₈	—	13	1	no	—
880	C₂²×Q₈	—	13	1	no	—
881	C₂³×C₄	—	13	1	no	—
882	C₂³×C₄	—	13	1	no	—
883	C₂³×C₄	—	13	1	no	—
884	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
885	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
886	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
887	C₄⋊Q₈	—	52	2	no	—
888	#126	—	52	2	no	—
889	#126	—	52	2	no	—
890	#126	—	52	2	no	—
891	#126	—	52	2	no	—
892	#125	—	52	2	no	—
893	#125	—	52	2	no	—
894	#125	—	52	2	no	—
895	C₂²⋊Q₈	—	26	4	no	—
896	C₂²⋊Q₈	—	26	4	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	1	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	1	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	1	no	—
910	C₂×C₄⋊C₄	—	13	1	no	—
911	C₂×C₄⋊C₄	—	13	1	no	—
912	C₂×C₄⋊C₄	—	13	1	no	—
913	C₂×C₄⋊C₄	—	13	1	no	—
914	C₂×C₄⋊C₄	—	13	1	no	—
915	C₂×C₄⋊C₄	—	13	1	no	—
916	C₂×C₄⋊C₄	—	13	1	no	—
917	C₂×C₄⋊C₄	—	13	1	no	—
918	C₂×C₄⋊C₄	—	13	1	no	—
919	C₂×C₄⋊C₄	—	13	1	no	—
920	C₂×C₄⋊C₄	—	13	1	no	—
921	C₂×C₄⋊C₄	—	13	1	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	1	no	—
930	C₂×C₄⋊C₄	—	13	1	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	52	2	no	—
934	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	—	13	1	no	—
945	C₂×C₂²⋊C₄	—	13	1	no	—
946	C₂×C₂²⋊C₄	—	13	1	no	—
947	C₂×C₂²⋊C₄	—	13	1	no	—
948	C₂×C₂²⋊C₄	—	13	1	no	—
949	C₂×C₂²⋊C₄	—	13	1	no	—
950	C₂×C₂²⋊C₄	—	13	1	no	—
951	C₂×C₂²⋊C₄	—	13	1	no	—
952	C₂×C₂²⋊C₄	—	13	1	no	—
953	C₂×C₂²⋊C₄	—	13	1	no	—
954	C₂×C₂²⋊C₄	—	13	1	no	—
955	C₂×C₂²⋊C₄	—	13	1	no	—
956	C₂×C₂²⋊C₄	—	13	1	no	—
957	C₂×C₂²⋊C₄	—	13	1	no	—
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	1	no	—
960	C₂×C₂²⋊C₄	—	13	1	no	—
961	C₂×C₂²⋊C₄	—	13	1	no	—
962	C₂×C₂²⋊C₄	—	13	1	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	1	no	—
966	C₂×C₂²⋊C₄	—	13	1	no	—
967	C₂×C₂²⋊C₄	—	13	1	no	—
968	C₂×C₂²⋊C₄	—	13	1	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	1	no	—
971	C₂×C₂²⋊C₄	—	13	1	no	—
972	C₂×C₂²⋊C₄	—	13	1	no	—
973	C₂×C₂²⋊C₄	—	13	1	no	—
974	C₂×C₂²⋊C₄	—	13	1	no	—
975	C₂×C₂²⋊C₄	—	13	1	no	—
976	C₂×C₂²⋊C₄	—	26	4	no	—
977	C₂×C₂²⋊C₄	—	52	2	no	—
978	C₂×C₂²⋊C₄	—	52	2	no	—
979	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₄²	—	13	1	no	—
984	C₂×C₄²	—	13	1	no	—
985	C₂×C₄²	—	13	1	no	—
986	C₂×C₄²	—	13	1	no	—
987	C₂×C₄²	—	13	1	no	—
988	C₂×C₄²	—	13	1	no	—
989	C₂×C₄²	—	13	1	no	—
990	C₂×C₄²	—	13	1	no	—
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	52	2	no	—
994	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
995	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	—	13	1	no	—
1008	#95	—	13	1	no	—
1009	#95	—	13	1	no	—
1010	#95	—	13	1	no	—
1011	#95	—	13	1	no	—
1012	#95	—	13	1	no	—
1013	#95	—	13	1	no	—
1014	#95	—	13	1	no	—
1015	#95	—	13	1	no	—
1016	#95	—	13	1	no	—
1017	#95	—	13	1	no	—
1018	#95	—	13	1	no	—
1019	#95	—	13	1	no	—
1020	#95	—	13	1	no	—
1021	#95	—	13	1	no	—
1022	#95	—	13	1	no	—
1023	#95	—	13	1	no	—
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	C₂²×D₁₃	1	1	yes	characteristic
1033	#95	C₂²×D₁₃	1	1	yes	characteristic
1034	#95	C₂²×D₁₃	1	1	yes	characteristic
1035	#95	C₂²×D₁₃	1	1	yes	characteristic
1036	#95	C₂²×D₁₃	1	1	yes	characteristic
1037	#95	C₂²×D₁₃	1	1	yes	characteristic
1038	#95	C₂²×D₁₃	1	1	yes	characteristic
1039	#95	C₂²×D₁₃	1	1	yes	characteristic
1040	#95	C₂²×D₁₃	1	1	yes	characteristic
1041	#95	C₂²×D₁₃	1	1	yes	characteristic
1042	#95	C₂²×D₁₃	1	1	yes	characteristic
1043	#95	C₂²×D₁₃	1	1	yes	characteristic
1044	#95	C₂²×D₁₃	1	1	yes	characteristic
1045	#95	C₂²×D₁₃	1	1	yes	characteristic
1046	#95	C₂²×D₁₃	1	1	yes	characteristic
1047	#95	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₁₃	—	2	4	no	—
1049	C₂×C₁₃	C₂×#541	1	1	yes	characteristic
1050	C₂×C₁₃	#3505	1	1	yes	characteristic
1051	C₂×C₁₃	#3506	1	1	yes	characteristic
1052	C₂×C₁₃	#3535	1	1	yes	characteristic
1053	C₂×C₁₃	#3536	1	1	yes	characteristic
1054	C₂×C₁₃	#3561	1	1	yes	characteristic
1055	C₂×C₁₃	#3564	1	1	yes	characteristic
1056	D₁₃	—	8	1	no	—
1057	D₁₃	—	8	1	no	—
1058	C₂⁴	—	13	1	no	—
1059	C₂⁴	—	13	1	no	—
1060	C₂⁴	—	26	2	no	—
1061	C₂⁴	—	26	2	no	—
1062	C₂⁴	—	26	2	no	—
1063	C₂⁴	—	52	1	no	—
1064	C₂⁴	—	52	1	no	—
1065	C₂⁴	—	52	1	no	—
1066	C₂⁴	—	52	1	no	—
1067	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1068	C₂×Q₈	—	26	2	no	—
1069	C₂×Q₈	—	26	2	no	—
1070	C₂×Q₈	—	52	1	no	—
1071	C₂×Q₈	—	52	1	no	—
1072	C₂×Q₈	—	52	1	no	—
1073	C₂×Q₈	—	52	1	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	13	1	no	—
1084	C₂²×C₄	—	13	1	no	—
1085	C₂²×C₄	—	13	1	no	—
1086	C₂²×C₄	—	13	4	no	—
1087	C₂²×C₄	—	13	1	no	—
1088	C₂²×C₄	—	13	1	no	—
1089	C₂²×C₄	—	13	1	no	—
1090	C₂²×C₄	—	13	1	no	—
1091	C₂²×C₄	—	13	1	no	—
1092	C₂²×C₄	—	13	1	no	—
1093	C₂²×C₄	—	13	1	no	—
1094	C₂²×C₄	—	13	1	no	—
1095	C₂²×C₄	—	13	1	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	26	2	no	—
1099	C₂²×C₄	—	26	2	no	—
1100	C₂²×C₄	—	26	2	no	—
1101	C₂²×C₄	—	52	1	no	—
1102	C₂²×C₄	—	52	1	no	—
1103	C₂²×C₄	—	52	1	no	—
1104	C₂²×C₄	—	52	1	no	—
1105	C₂²×C₄	—	52	1	no	—
1106	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	26	2	no	—
1131	C₄⋊C₄	—	26	2	no	—
1132	C₄⋊C₄	—	26	2	no	—
1133	C₄⋊C₄	—	26	2	no	—
1134	C₄⋊C₄	—	26	2	no	—
1135	C₄⋊C₄	—	26	2	no	—
1136	C₄⋊C₄	—	26	2	no	—
1137	C₄⋊C₄	—	26	2	no	—
1138	C₄⋊C₄	—	26	2	no	—
1139	C₄⋊C₄	—	26	2	no	—
1140	C₄⋊C₄	—	26	2	no	—
1141	C₄⋊C₄	—	26	2	no	—
1142	C₄⋊C₄	—	26	2	no	—
1143	C₄⋊C₄	—	26	2	no	—
1144	C₄⋊C₄	—	52	1	no	—
1145	C₄⋊C₄	—	52	1	no	—
1146	C₄⋊C₄	—	52	1	no	—
1147	C₄⋊C₄	—	52	1	no	—
1148	C₄⋊C₄	—	52	1	no	—
1149	C₄⋊C₄	—	52	1	no	—
1150	C₄⋊C₄	—	52	1	no	—
1151	C₄⋊C₄	—	52	1	no	—
1152	C₄⋊C₄	—	52	1	no	—
1153	C₄⋊C₄	—	52	1	no	—
1154	C₄⋊C₄	—	52	1	no	—
1155	C₄⋊C₄	—	52	1	no	—
1156	C₄⋊C₄	—	52	1	no	—
1157	C₄⋊C₄	—	52	1	no	—
1158	C₄⋊C₄	—	52	1	no	—
1159	C₄⋊C₄	—	52	1	no	—
1160	C₄⋊C₄	—	52	1	no	—
1161	C₄⋊C₄	—	52	1	no	—
1162	C₄⋊C₄	—	52	1	no	—
1163	C₄⋊C₄	—	52	1	no	—
1164	C₄⋊C₄	—	52	1	no	—
1165	C₄⋊C₄	—	52	1	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	26	2	no	—
1171	C₂²⋊C₄	—	26	2	no	—
1172	C₂²⋊C₄	—	26	2	no	—
1173	C₂²⋊C₄	—	26	2	no	—
1174	C₂²⋊C₄	—	26	2	no	—
1175	C₂²⋊C₄	—	26	2	no	—
1176	C₂²⋊C₄	—	26	2	no	—
1177	C₂²⋊C₄	—	26	2	no	—
1178	C₂²⋊C₄	—	26	2	no	—
1179	C₂²⋊C₄	—	26	2	no	—
1180	C₂²⋊C₄	—	26	2	no	—
1181	C₂²⋊C₄	—	26	2	no	—
1182	C₂²⋊C₄	—	52	1	no	—
1183	C₂²⋊C₄	—	52	1	no	—
1184	C₂²⋊C₄	—	52	1	no	—
1185	C₂²⋊C₄	—	52	1	no	—
1186	C₂²⋊C₄	—	52	1	no	—
1187	C₂²⋊C₄	—	52	1	no	—
1188	C₂²⋊C₄	—	52	1	no	—
1189	C₂²⋊C₄	—	52	1	no	—
1190	C₂²⋊C₄	—	52	1	no	—
1191	C₂²⋊C₄	—	52	1	no	—
1192	C₂²⋊C₄	—	52	1	no	—
1193	C₂²⋊C₄	—	52	1	no	—
1194	C₂²⋊C₄	—	52	1	no	—
1195	C₂²⋊C₄	—	52	1	no	—
1196	C₂²⋊C₄	—	52	1	no	—
1197	C₂²⋊C₄	—	52	1	no	—
1198	C₂²⋊C₄	—	52	1	no	—
1199	C₂²⋊C₄	—	52	1	no	—
1200	C₂²⋊C₄	—	52	1	no	—
1201	C₂²⋊C₄	—	52	1	no	—
1202	C₄²	—	4	1	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	26	2	no	—
1205	C₄²	—	26	2	no	—
1206	C₄²	—	52	1	no	—
1207	C₄²	—	52	1	no	—
1208	C₄²	—	52	1	no	—
1209	C₄²	—	52	1	no	—
1210	C₄²	—	52	1	no	—
1211	C₄²	—	52	1	no	—
1212	C₄²	—	52	1	no	—
1213	C₄²	—	52	1	no	—
1214	C₁₃	#36760	1	1	yes	characteristic, complemented, Sylow
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	26	1	no	—
1220	C₂³	—	26	1	no	—
1221	C₂³	—	26	1	no	—
1222	C₂³	—	26	1	no	—
1223	C₂³	—	26	1	no	—
1224	C₂³	—	26	1	no	—
1225	C₂³	—	26	1	no	—
1226	C₂³	—	26	1	no	—
1227	C₂³	—	26	1	no	—
1228	C₂³	—	26	1	no	—
1229	C₂³	—	26	1	no	—
1230	C₂³	—	26	1	no	—
1231	C₂³	—	26	1	no	—
1232	C₂³	—	26	1	no	—
1233	C₂³	—	52	4	no	—
1234	C₂³	—	52	4	no	—
1235	C₂³	—	52	4	no	—
1236	C₂³	—	104	2	no	—
1237	C₂³	—	104	2	no	—
1238	C₂³	—	104	2	no	—
1239	C₂³	—	104	2	no	—
1240	C₂³	#88254	1	2	yes	—
1241	C₂³	#41×D₁₃	1	2	yes	—
1242	C₂³	#88257	1	2	yes	—
1243	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1244	Q₈	—	104	2	no	—
1245	Q₈	—	104	2	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	4	4	no	—
1289	C₂×C₄	—	8	2	no	—
1290	C₂×C₄	—	13	2	no	—
1291	C₂×C₄	—	13	2	no	—
1292	C₂×C₄	—	13	2	no	—
1293	C₂×C₄	—	26	1	no	—
1294	C₂×C₄	—	26	1	no	—
1295	C₂×C₄	—	26	1	no	—
1296	C₂×C₄	—	26	1	no	—
1297	C₂×C₄	—	26	1	no	—
1298	C₂×C₄	—	26	1	no	—
1299	C₂×C₄	—	26	1	no	—
1300	C₂×C₄	—	26	1	no	—
1301	C₂×C₄	—	26	1	no	—
1302	C₂×C₄	—	26	1	no	—
1303	C₂×C₄	—	26	1	no	—
1304	C₂×C₄	—	26	1	no	—
1305	C₂×C₄	—	26	1	no	—
1306	C₂×C₄	—	26	1	no	—
1307	C₂×C₄	—	26	1	no	—
1308	C₂×C₄	—	26	1	no	—
1309	C₂×C₄	—	26	1	no	—
1310	C₂×C₄	—	26	1	no	—
1311	C₂×C₄	—	26	1	no	—
1312	C₂×C₄	—	26	1	no	—
1313	C₂×C₄	—	26	1	no	—
1314	C₂×C₄	—	26	1	no	—
1315	C₂×C₄	—	26	1	no	—
1316	C₂×C₄	—	26	1	no	—
1317	C₂×C₄	—	26	1	no	—
1318	C₂×C₄	—	26	1	no	—
1319	C₂×C₄	—	26	1	no	—
1320	C₂×C₄	—	26	1	no	—
1321	C₂×C₄	—	26	1	no	—
1322	C₂×C₄	—	26	1	no	—
1323	C₂×C₄	—	26	1	no	—
1324	C₂×C₄	—	26	1	no	—
1325	C₂×C₄	—	26	1	no	—
1326	C₂×C₄	—	26	1	no	—
1327	C₂×C₄	—	26	1	no	—
1328	C₂×C₄	—	26	1	no	—
1329	C₂×C₄	—	26	1	no	—
1330	C₂×C₄	—	26	1	no	—
1331	C₂×C₄	—	26	1	no	—
1332	C₂×C₄	—	52	4	no	—
1333	C₂×C₄	—	52	4	no	—
1334	C₂×C₄	—	104	2	no	—
1335	C₂×C₄	#88256	1	2	yes	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	52	1	no	—
1343	C₂²	—	52	1	no	—
1344	C₂²	—	52	1	no	—
1345	C₂²	—	52	1	no	—
1346	C₂²	—	52	1	no	—
1347	C₂²	—	52	1	no	—
1348	C₂²	—	52	1	no	—
1349	C₂²	—	52	1	no	—
1350	C₂²	—	52	1	no	—
1351	C₂²	—	52	1	no	—
1352	C₂²	—	52	1	no	—
1353	C₂²	—	52	1	no	—
1354	C₂²	—	52	1	no	—
1355	C₂²	—	52	1	no	—
1356	C₂²	—	104	8	no	—
1357	C₂²	#11719401	1	4	yes	—
1358	C₂²	C₂×#88254	1	1	yes	characteristic
1359	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1360	C₂²	C₂×#88256	1	1	yes	characteristic
1361	C₂²	C₂×#88257	1	1	yes	characteristic
1362	C₂²	#11719648	1	1	yes	characteristic
1363	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1364	C₂²	#11719650	1	1	yes	characteristic
1365	C₄	—	2	2	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	26	2	no	—
1380	C₄	—	26	2	no	—
1381	C₄	—	26	2	no	—
1382	C₄	—	52	1	no	—
1383	C₄	—	52	1	no	—
1384	C₄	—	52	1	no	—
1385	C₄	—	52	1	no	—
1386	C₄	—	52	1	no	—
1387	C₄	—	52	1	no	—
1388	C₄	—	52	1	no	—
1389	C₄	—	52	1	no	—
1390	C₄	—	52	1	no	—
1391	C₄	—	52	1	no	—
1392	C₄	—	52	1	no	—
1393	C₂	—	2	4	no	—
1394	C₂	—	104	1	no	—
1395	C₂	—	104	1	no	—
1396	C₂	C₂×#11719401	1	1	yes	characteristic
1397	C₂	#13128671	1	1	yes	characteristic
1398	C₂	#13128683	1	1	yes	characteristic
1399	C₂	#13129041	1	1	yes	characteristic
1400	C₂	#13129064	1	1	yes	characteristic
1401	C₂	#13129394	1	1	yes	characteristic
1402	C₂	#13129459	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2505	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2505	D₁₃
hypocenter	C₁₃	#36760
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2505

Complements

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

N	H ≅ G/N	type
1. #13123186	C₂	semidirect
2. #13123142	C₂	semidirect
3. #13122713	C₂	semidirect
4. #13122706	C₂	semidirect
5. #13122530	C₂	semidirect
6. #13122519	C₂	semidirect
7. #13122370	C₂	semidirect
8. #13122358	C₂	semidirect
9. #13122135	C₂	semidirect
10. #13122124	C₂	semidirect
11. #13121778	C₂	semidirect
12. #13121778	C₂	semidirect
13. #13121777	C₂	semidirect
14. #13121774	C₂	semidirect
15. #13121736	C₂	semidirect
16. #13121731	C₂	semidirect
17. #13121667	C₂	semidirect
18. #13121660	C₂	semidirect
21. #13119337	C₂	semidirect
26. #13118976	C₂	semidirect
27. #13118974	C₂	semidirect
28. #13117567	C₂	semidirect
29. #13117564	C₂	semidirect
31. C₁₃×#2505	C₂	semidirect
40. C₂×#88144	C₂²	semidirect
41. C₂×#88143	C₂²	semidirect
42. C₂×#88143	C₂²	semidirect
43. C₂×#88142	C₂²	semidirect
47. C₁₃×#400	C₂²	semidirect
48. C₁₃×#400	C₂²	semidirect
49. C₁₃×#400	C₂²	semidirect
50. C₁₃×#398	C₂²	semidirect
51. C₁₃×#389	C₂²	semidirect
52. C₁₃×#387	C₂²	semidirect
53. C₁₃×#387	C₂²	semidirect
58. C₁₃×#382	C₂²	semidirect
86. #11718647	C₂²	semidirect
87. #11718646	C₂²	semidirect
88. #11718646	C₂²	semidirect
89. #11718645	C₂²	semidirect
90. #11718645	C₂²	semidirect
91. #11718644	C₂²	semidirect
92. #11718642	C₂²	semidirect
93. #11718642	C₂²	semidirect
94. #11718639	C₂²	semidirect
95. #11718639	C₂²	semidirect
96. #11718637	C₂²	semidirect
97. #11718635	C₂²	semidirect
98. #11718634	C₂²	semidirect
99. #11718634	C₂²	semidirect
100. #11718633	C₂²	semidirect
101. #11718633	C₂²	semidirect
119. #11718594	C₂²	semidirect
120. #11718594	C₂²	semidirect
121. #11718590	C₂²	semidirect
122. #11718589	C₂²	semidirect
155. #11718322	C₂²	semidirect
156. #11718322	C₂²	semidirect
157. #11718320	C₂²	semidirect
158. #11718320	C₂²	semidirect
159. #11718319	C₂²	semidirect
160. #11718319	C₂²	semidirect
161. #11718318	C₂²	semidirect
162. #11718318	C₂²	semidirect
163. #11718316	C₂²	semidirect
164. #11718316	C₂²	semidirect
165. #11718315	C₂²	semidirect
166. #11718315	C₂²	semidirect
167. #11718314	C₂²	semidirect
168. #11718314	C₂²	semidirect
169. #11718314	C₂²	semidirect
170. #11718314	C₂²	semidirect
171. #11718313	C₂²	semidirect
172. #11718313	C₂²	semidirect
173. #11718313	C₂²	semidirect
174. #11718313	C₂²	semidirect
175. #11718311	C₂²	semidirect
176. #11718311	C₂²	semidirect
177. #11718308	C₂²	semidirect
178. #11718308	C₂²	semidirect
179. #11718308	C₂²	semidirect
180. #11718308	C₂²	semidirect
181. #11718308	C₂²	semidirect
182. #11718308	C₂²	semidirect
183. #11718307	C₂²	semidirect
184. #11718307	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
535. #2505	D₁₃	semidirect
686. #400	C₂×D₁₃	semidirect
687. #400	C₂×D₁₃	semidirect
688. #400	C₂×D₁₃	semidirect
700. #398	C₂×D₁₃	semidirect
748. #389	C₂×D₁₃	semidirect
787. #387	C₂×D₁₃	semidirect
788. #387	C₂×D₁₃	semidirect
804. #382	C₂×D₁₃	semidirect
1214. C₁₃	#36760	semidirect

Maximal subgroups

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

subgroup	index
#13123186	2
#13123142	2
#13122713	2
#13122706	2
#13122530	2
#13122519	2
#13122370	2
#13122358	2
#13122135	2
#13122124	2
#13121778	2
#13121777	2
#13121774	2
#13121736	2
#13121731	2
#13121667	2
#13121660	2
#13120647	2
#13119337	2
#13119089	2
#13119087	2
#13119084	2
#13119082	2
#13118976	2
#13118974	2
#13117567	2
#13117564	2
C₂×#11718331	2
C₁₃×#2505	2
#36760	13