Subgroups — #16069727

Order 3328.

2326 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719434	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
3	#13123122	C₂	1	1	yes	maximal, characteristic
4	#13123120	C₂	1	1	yes	maximal, characteristic
5	#13121308	C₂	1	1	yes	maximal, characteristic, complemented
6	#13121306	C₂	1	1	yes	maximal, characteristic, complemented
7	#13121305	C₂	1	1	yes	maximal, characteristic, complemented
8	#13121303	C₂	1	1	yes	maximal, characteristic, complemented
9	#13121301	C₂	1	1	yes	maximal, characteristic, complemented
10	#13121300	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121299	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121298	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121153	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121152	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121150	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121147	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121146	C₂	1	1	yes	maximal, characteristic, complemented
18	#13121146	C₂	1	1	yes	maximal, characteristic, complemented
19	#13121145	C₂	1	1	yes	maximal, characteristic, complemented
20	#13120654	C₂	1	1	yes	maximal, characteristic, complemented
21	#13120648	C₂	1	1	yes	maximal, characteristic, complemented
22	#13119992	C₂	1	1	yes	maximal, characteristic
23	#13119990	C₂	1	1	yes	maximal, characteristic
24	#13119121	C₂	1	1	yes	maximal, characteristic, complemented
25	#13119118	C₂	1	1	yes	maximal, characteristic, complemented
26	#13119111	C₂	1	1	yes	maximal, characteristic
27	#13119108	C₂	1	1	yes	maximal, characteristic
28	#13118477	C₂	1	1	yes	maximal, characteristic, complemented
29	#13118475	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117435	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2677	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×#88200	C₂²	1	1	yes	characteristic
39	C₂×#88200	C₂²	1	1	yes	characteristic
40	C₂×#88200	C₂²	1	1	yes	characteristic
41	C₂×#88200	C₂²	1	1	yes	characteristic
42	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88178	C₂²	1	1	yes	characteristic
46	#11719434	—	2	8	no	—
47	D₁₃×C₂²⋊Q₈	—	2	8	no	—
48	C₂×#88151	C₂²	1	1	yes	characteristic
49	C₂×#88150	C₂²	1	1	yes	characteristic
50	C₂×#88150	C₂²	1	1	yes	characteristic
51	C₂×#88150	C₂²	1	1	yes	characteristic
52	C₂×#88150	C₂²	1	1	yes	characteristic
53	C₂×#88150	C₂²	1	1	yes	characteristic
54	C₂×#88146	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
58	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
66	C₂×#88132	C₂²	1	1	yes	characteristic
67	C₂×#88132	C₂²	1	1	yes	characteristic
68	C₂×#88132	C₂²	1	1	yes	characteristic
69	C₂×#88126	C₂²	1	1	yes	characteristic
70	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#399	C₂²	1	1	yes	characteristic
72	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#393	C₂²	1	1	yes	characteristic
77	C₁₃×#388	C₂²	1	1	yes	characteristic
78	C₁₃×#388	C₂²	1	1	yes	characteristic
79	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#385	C₂²	1	1	yes	characteristic
82	#11718892	C₂²	1	1	yes	characteristic
83	#11718891	C₂²	1	1	yes	characteristic, complemented
84	#11718890	C₂²	1	1	yes	characteristic, complemented
85	#11718890	C₂²	1	1	yes	characteristic, complemented
86	#11718873	C₂²	1	1	yes	characteristic
87	#11718871	C₂²	1	1	yes	characteristic
88	#11718653	C₂²	1	1	yes	characteristic
89	#11718653	C₂²	1	1	yes	characteristic
90	#11718651	C₂²	1	1	yes	characteristic
91	#11718651	C₂²	1	1	yes	characteristic
92	#11718651	C₂²	1	1	yes	characteristic
93	#11718650	C₂²	1	1	yes	characteristic
94	#11718650	C₂²	1	1	yes	characteristic
95	#11718650	C₂²	1	1	yes	characteristic
96	#11718650	C₂²	1	1	yes	characteristic
97	#11718650	C₂²	1	1	yes	characteristic
98	#11718650	C₂²	1	1	yes	characteristic
99	#11718650	C₂²	1	1	yes	characteristic
100	#11718650	C₂²	1	1	yes	characteristic
101	#11718650	C₂²	1	1	yes	characteristic
102	#11718648	C₂²	1	1	yes	characteristic
103	#11718648	C₂²	1	1	yes	characteristic
104	#11718647	C₂²	1	1	yes	characteristic, complemented
105	#11718647	C₂²	1	1	yes	characteristic, complemented
106	#11718645	C₂²	1	1	yes	characteristic, complemented
107	#11718645	C₂²	1	1	yes	characteristic, complemented
108	#11718645	C₂²	1	1	yes	characteristic, complemented
109	#11718644	C₂²	1	1	yes	characteristic, complemented
110	#11718642	C₂²	1	1	yes	characteristic, complemented
111	#11718642	C₂²	1	1	yes	characteristic, complemented
112	#11718642	C₂²	1	1	yes	characteristic, complemented
113	#11718641	C₂²	1	1	yes	characteristic, complemented
114	#11718641	C₂²	1	1	yes	characteristic, complemented
115	#11718641	C₂²	1	1	yes	characteristic, complemented
116	#11718640	C₂²	1	1	yes	characteristic, complemented
117	#11718640	C₂²	1	1	yes	characteristic, complemented
118	#11718640	C₂²	1	1	yes	characteristic, complemented
119	#11718640	C₂²	1	1	yes	characteristic, complemented
120	#11718640	C₂²	1	1	yes	characteristic, complemented
121	#11718640	C₂²	1	1	yes	characteristic, complemented
122	#11718639	C₂²	1	1	yes	characteristic, complemented
123	#11718639	C₂²	1	1	yes	characteristic, complemented
124	#11718616	C₂²	1	1	yes	characteristic
125	#11718616	C₂²	1	1	yes	characteristic
126	#11718616	C₂²	1	1	yes	characteristic
127	#11718616	C₂²	1	1	yes	characteristic
128	#11718614	C₂²	1	1	yes	characteristic
129	#11718614	C₂²	1	1	yes	characteristic
130	#11718613	C₂²	1	1	yes	characteristic
131	#11718613	C₂²	1	1	yes	characteristic
132	#11718610	C₂²	1	1	yes	characteristic
133	#11718608	C₂²	1	1	yes	characteristic
134	#11718607	C₂²	1	1	yes	characteristic
135	#11718607	C₂²	1	1	yes	characteristic
136	#11718606	C₂²	1	1	yes	characteristic
137	#11718606	C₂²	1	1	yes	characteristic
138	#11718606	C₂²	1	1	yes	characteristic
139	#11718605	C₂²	1	1	yes	characteristic
140	#11718605	C₂²	1	1	yes	characteristic
141	#11718605	C₂²	1	1	yes	characteristic
142	#11718603	C₂²	1	1	yes	characteristic
143	#11718601	C₂²	1	1	yes	characteristic
144	#11718601	C₂²	1	1	yes	characteristic
145	C₄×#6103	C₂²	1	1	yes	characteristic
146	#11718594	C₂²	1	1	yes	characteristic, complemented
147	#11718594	C₂²	1	1	yes	characteristic, complemented
148	#11718590	C₂²	1	1	yes	characteristic, complemented
149	#11718336	C₂²	1	1	yes	characteristic
150	#11718336	C₂²	1	1	yes	characteristic
151	#11718335	C₂²	1	1	yes	characteristic
152	#11718335	C₂²	1	1	yes	characteristic
153	#11718334	C₂²	1	1	yes	characteristic
154	#11718331	C₂²	1	1	yes	characteristic
155	#11718330	C₂²	1	1	yes	characteristic
156	#11718330	C₂²	1	1	yes	characteristic
157	#11718329	C₂²	1	1	yes	characteristic
158	#11718329	C₂²	1	1	yes	characteristic
159	#11718329	C₂²	1	1	yes	characteristic
160	#11718328	C₂²	1	1	yes	characteristic
161	#11718328	C₂²	1	1	yes	characteristic
162	#11718327	C₂²	1	1	yes	characteristic
163	#11718325	C₂²	1	1	yes	characteristic
164	#11718325	C₂²	1	1	yes	characteristic
165	#11718325	C₂²	1	1	yes	characteristic
166	#11718325	C₂²	1	1	yes	characteristic
167	#11718325	C₂²	1	1	yes	characteristic
168	#11718325	C₂²	1	1	yes	characteristic
169	#11718321	C₂²	1	1	yes	characteristic, complemented
170	#11718321	C₂²	1	1	yes	characteristic, complemented
171	#11718320	C₂²	1	1	yes	characteristic, complemented
172	#11718320	C₂²	1	1	yes	characteristic, complemented
173	#11718319	C₂²	1	1	yes	characteristic, complemented
174	#11718319	C₂²	1	1	yes	characteristic, complemented
175	#11718318	C₂²	1	1	yes	characteristic, complemented
176	#11718318	C₂²	1	1	yes	characteristic, complemented
177	#11718318	C₂²	1	1	yes	characteristic, complemented
178	#11718317	C₂²	1	1	yes	characteristic, complemented
179	#11718317	C₂²	1	1	yes	characteristic, complemented
180	#11718316	C₂²	1	1	yes	characteristic, complemented
181	#11718315	C₂²	1	1	yes	characteristic, complemented
182	#11718314	C₂²	1	1	yes	characteristic, complemented
183	#11718314	C₂²	1	1	yes	characteristic, complemented
184	#11718313	C₂²	1	1	yes	characteristic, complemented
185	#11718313	C₂²	1	1	yes	characteristic, complemented
186	#11718313	C₂²	1	1	yes	characteristic, complemented
187	#11718307	C₂²	1	1	yes	characteristic, complemented
188	#11718307	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
195	C₂×Q₈×D₁₃	—	2	4	no	—
196	C₂×Q₈×D₁₃	—	4	2	no	—
197	C₂×Q₈×D₁₃	—	4	2	no	—
198	C₂²×C₄×D₁₃	—	2	4	no	—
199	C₂²×C₄×D₁₃	—	4	2	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	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
210	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
211	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
212	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
214	C₁₃×C₄⋊Q₈	—	2	4	no	—
215	C₁₃×C₄⋊Q₈	—	4	2	no	—
216	C₁₃×C₂²⋊Q₈	—	2	4	no	—
217	C₁₃×C₂²⋊Q₈	—	4	2	no	—
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	#88200	—	2	4	no	—
246	#88200	—	2	4	no	—
247	#88200	—	2	4	no	—
248	#88200	—	4	2	no	—
249	#88198	—	2	4	no	—
250	#88198	—	2	4	no	—
251	#88198	—	4	2	no	—
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	#88178	—	2	4	no	—
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×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	1	yes	characteristic
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	1	yes	characteristic
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×#6101	C₂³	1	1	yes	characteristic
304	C₂×#6101	C₂³	1	1	yes	characteristic
305	C₂×#6101	C₂³	1	1	yes	characteristic
306	C₂×#6101	C₂³	1	1	yes	characteristic
307	C₂×#6101	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	#88151	—	2	4	no	—
315	#88150	—	2	4	no	—
316	#88150	—	2	4	no	—
317	#88150	—	2	4	no	—
318	#88150	—	2	4	no	—
319	#88150	—	4	2	no	—
320	#88146	—	2	4	no	—
321	C₄⋊C₄×D₁₃	—	2	4	no	—
322	C₄⋊C₄×D₁₃	—	2	4	no	—
323	C₄⋊C₄×D₁₃	D₄	1	8	yes	—
324	#88144	—	2	4	no	—
325	#88143	—	2	4	no	—
326	#88143	—	2	4	no	—
327	#88142	—	2	4	no	—
328	#88142	—	4	2	no	—
329	#88142	—	4	2	no	—
330	C₂²⋊C₄×D₁₃	—	2	4	no	—
331	C₂²⋊C₄×D₁₃	—	2	4	no	—
332	#88132	—	2	4	no	—
333	#88132	—	2	4	no	—
334	#88132	—	4	2	no	—
335	#88126	—	2	4	no	—
336	#88124	—	2	4	no	—
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	#88071	C₂³	1	1	yes	characteristic
377	#88071	C₂³	1	1	yes	characteristic
378	#88071	C₂³	1	1	yes	characteristic
379	#88071	C₂³	1	1	yes	characteristic
380	#88071	C₂³	1	1	yes	characteristic
381	#88071	C₂³	1	1	yes	characteristic
382	#88071	C₂³	1	1	yes	characteristic
383	#88071	C₂³	1	1	yes	characteristic
384	#88071	C₂³	1	1	yes	characteristic
385	#36708	—	13	1	no	maximal, Sylow
386	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₁₃	—	2	2	no	—
388	C₂³×D₁₃	—	2	2	no	—
389	C₂³×D₁₃	—	2	2	no	—
390	C₂³×D₁₃	—	2	2	no	—
391	C₂³×D₁₃	—	2	2	no	—
392	C₂³×D₁₃	—	4	1	no	—
393	C₂³×D₁₃	—	4	1	no	—
394	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
395	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×Q₈×C₁₃	—	2	2	no	—
397	C₂×Q₈×C₁₃	—	2	2	no	—
398	C₂×Q₈×C₁₃	—	2	2	no	—
399	C₂×Q₈×C₁₃	—	2	2	no	—
400	C₂×Q₈×C₁₃	—	4	1	no	—
401	C₂×Q₈×C₁₃	—	4	1	no	—
402	C₂×Q₈×C₁₃	—	4	1	no	—
403	C₂×Q₈×C₁₃	—	4	1	no	—
404	C₂×Q₈×C₁₃	—	4	1	no	—
405	C₂²×C₄×C₁₃	—	2	2	no	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	4	1	no	—
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	—	2	2	no	—
423	C₂²×Dic₁₃	—	2	2	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	Q₈×D₁₃	—	4	16	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	4	16	no	—
454	C₂×C₄×D₁₃	—	4	1	no	—
455	C₂×C₄×D₁₃	—	4	1	no	—
456	C₂×C₄×D₁₃	—	4	1	no	—
457	C₂×C₄×D₁₃	—	4	1	no	—
458	C₂×C₄×D₁₃	—	4	1	no	—
459	C₂×C₄×D₁₃	—	4	1	no	—
460	C₂×C₄×D₁₃	—	4	1	no	—
461	C₂×C₄×D₁₃	—	4	1	no	—
462	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
463	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
464	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
465	C₂×Dic₂₆	—	2	2	no	—
466	C₂×Dic₂₆	—	2	2	no	—
467	C₂×Dic₂₆	—	2	2	no	—
468	C₂×Dic₂₆	—	2	2	no	—
469	C₂×Dic₂₆	—	2	2	no	—
470	C₂×Dic₂₆	—	2	2	no	—
471	C₂×Dic₂₆	—	2	2	no	—
472	C₂×Dic₂₆	—	2	2	no	—
473	C₂×Dic₂₆	—	4	1	no	—
474	C₂×Dic₂₆	—	4	1	no	—
475	C₂×Dic₂₆	—	4	1	no	—
476	C₂×Dic₂₆	—	4	1	no	—
477	C₂×Dic₂₆	—	4	1	no	—
478	C₂×Dic₂₆	—	4	1	no	—
479	C₂×Dic₂₆	—	4	1	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₄⋊C₄	—	2	2	no	—
482	C₁₃×C₄⋊C₄	—	2	2	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	2	no	—
486	C₁₃×C₄⋊C₄	—	2	2	no	—
487	C₁₃×C₄⋊C₄	—	2	2	no	—
488	C₁₃×C₄⋊C₄	—	4	1	no	—
489	C₁₃×C₄⋊C₄	—	4	1	no	—
490	C₁₃×C₄⋊C₄	—	4	1	no	—
491	C₁₃×C₄⋊C₄	—	4	1	no	—
492	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
493	C₁₃×C₂²⋊C₄	—	2	2	no	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	2	no	—
496	C₁₃×C₂²⋊C₄	—	4	1	no	—
497	C₁₃×C₂²⋊C₄	—	4	1	no	—
498	C₁₃×C₂²⋊C₄	—	4	1	no	—
499	C₄²×C₁₃	—	2	2	no	—
500	C₄²×C₁₃	—	4	1	no	—
501	C₂²⋊Dic₁₃	—	2	2	no	—
502	C₂²⋊Dic₁₃	—	2	2	no	—
503	C₂²⋊Dic₁₃	—	2	2	no	—
504	C₂²⋊Dic₁₃	—	2	2	no	—
505	C₂²⋊Dic₁₃	—	2	2	no	—
506	C₂²⋊Dic₁₃	—	4	1	no	—
507	#6103	—	2	2	no	—
508	#6103	—	2	2	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	#6103	—	2	2	no	—
513	#6103	—	2	2	no	—
514	#6103	—	2	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	2	2	no	—
518	#6103	—	2	2	no	—
519	#6103	—	2	2	no	—
520	#6103	—	2	2	no	—
521	#6103	—	2	2	no	—
522	#6103	—	2	2	no	—
523	#6103	—	4	1	no	—
524	#6103	—	4	1	no	—
525	#6103	—	4	1	no	—
526	#6103	—	4	1	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	—	4	1	no	—
534	C₄⋊Dic₁₃	—	4	1	no	—
535	C₄⋊Dic₁₃	C₂×D₄	1	4	yes	—
536	#6101	—	2	2	no	—
537	#6101	—	2	2	no	—
538	#6101	—	2	2	no	—
539	#6101	—	2	2	no	—
540	#6101	—	2	2	no	—
541	#6101	—	2	2	no	—
542	#6101	—	2	2	no	—
543	#6101	—	2	2	no	—
544	#6101	—	2	2	no	—
545	#6101	—	2	2	no	—
546	#6101	—	2	2	no	—
547	#6101	—	2	2	no	—
548	#6101	—	2	2	no	—
549	#6101	—	2	2	no	—
550	#6101	—	2	2	no	—
551	#6101	—	2	2	no	—
552	#6101	—	2	2	no	—
553	#6101	—	2	2	no	—
554	#6101	—	4	1	no	—
555	#6101	—	4	1	no	—
556	#6101	—	4	1	no	—
557	#6101	—	4	1	no	—
558	#6101	—	4	1	no	—
559	#6101	—	4	1	no	—
560	#6101	C₂×D₄	1	4	yes	—
561	#6101	C₂×D₄	1	4	yes	—
562	C₄×Dic₁₃	—	2	2	no	—
563	C₄×Dic₁₃	—	2	2	no	—
564	C₄×Dic₁₃	—	2	2	no	—
565	C₄×Dic₁₃	—	4	1	no	—
566	C₄×Dic₁₃	—	4	1	no	—
567	C₄×Dic₁₃	—	4	1	no	—
568	C₂×#544	—	13	1	no	—
569	C₂²×C₂²⋊Q₈	—	13	1	no	—
570	#2848	—	13	1	no	—
571	#2848	—	13	1	no	—
572	#2690	—	13	1	no	—
573	#2690	—	13	1	no	—
574	#2690	—	13	1	no	—
575	#2690	—	13	1	no	—
576	#2690	—	13	1	no	—
577	#2690	—	13	1	no	—
578	#2690	—	13	1	no	—
579	#2690	—	13	1	no	—
580	#2677	—	13	1	no	—
581	#2677	—	13	1	no	—
582	#2677	—	13	1	no	—
583	#2677	—	13	1	no	—
584	#2677	—	13	1	no	—
585	#2677	—	13	1	no	—
586	#2677	—	13	1	no	—
587	#2677	D₁₃	1	1	yes	characteristic, complemented
588	#2627	—	13	1	no	—
589	#2627	—	13	1	no	—
590	#2561	—	13	1	no	—
591	#2561	—	13	1	no	—
592	#2484	—	13	1	no	—
593	#2484	—	13	1	no	—
594	#2482	—	13	1	no	—
595	#2482	—	13	1	no	—
596	#2434	—	13	1	no	—
597	#2434	—	13	1	no	—
598	#2313	—	13	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	2	1	no	—
605	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
606	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
607	C₂²×D₁₃	—	2	1	no	—
608	C₂²×D₁₃	—	2	1	no	—
609	C₂²×D₁₃	—	2	1	no	—
610	C₂²×D₁₃	—	2	1	no	—
611	C₂²×D₁₃	—	2	8	no	—
612	C₂²×D₁₃	—	2	1	no	—
613	C₂²×D₁₃	—	2	1	no	—
614	C₂²×D₁₃	—	2	1	no	—
615	C₂²×D₁₃	—	2	1	no	—
616	C₂²×D₁₃	—	2	1	no	—
617	C₂²×D₁₃	—	2	1	no	—
618	C₂²×D₁₃	—	4	4	no	—
619	C₂²×D₁₃	—	4	4	no	—
620	C₂²×D₁₃	—	4	4	no	—
621	C₂²×D₁₃	—	4	4	no	—
622	C₂²×D₁₃	—	4	4	no	—
623	C₂²×D₁₃	—	4	4	no	—
624	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
625	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
626	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
627	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
628	Q₈×C₁₃	—	4	4	no	—
629	Q₈×C₁₃	—	8	2	no	—
630	Q₈×C₁₃	—	8	2	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	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	4	4	no	—
670	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
672	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
673	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	4	4	no	—
713	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
714	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
715	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
716	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
717	C₄×D₁₃	—	2	8	no	—
718	C₄×D₁₃	—	2	8	no	—
719	C₄×D₁₃	—	4	4	no	—
720	C₄×D₁₃	—	4	4	no	—
721	C₄×D₁₃	—	4	4	no	—
722	C₄×D₁₃	—	4	4	no	—
723	C₄×D₁₃	—	4	4	no	—
724	C₄×D₁₃	—	4	4	no	—
725	Dic₂₆	—	4	4	no	—
726	Dic₂₆	—	4	4	no	—
727	Dic₂₆	—	4	4	no	—
728	Dic₂₆	—	8	2	no	—
729	Dic₂₆	—	8	2	no	—
730	C₂³×Q₈	—	13	1	no	—
731	C₂⁴×C₄	—	13	1	no	—
732	#544	—	26	8	no	—
733	C₂×C₄⋊Q₈	—	13	1	no	—
734	C₂×C₄⋊Q₈	—	13	1	no	—
735	C₂×C₄⋊Q₈	—	13	1	no	—
736	C₂×C₄⋊Q₈	—	13	1	no	—
737	C₂×C₄⋊Q₈	—	13	1	no	—
738	C₂×C₄⋊Q₈	—	13	1	no	—
739	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
740	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
741	C₂×#125	—	13	1	no	—
742	C₂×#125	—	13	1	no	—
743	C₂×#125	—	13	1	no	—
744	C₂×#125	—	13	1	no	—
745	C₂×C₂²⋊Q₈	—	13	1	no	—
746	C₂×C₂²⋊Q₈	—	13	1	no	—
747	C₂×C₂²⋊Q₈	—	13	1	no	—
748	C₂×C₂²⋊Q₈	—	13	1	no	—
749	C₂×C₂²⋊Q₈	—	13	1	no	—
750	C₂×C₂²⋊Q₈	—	13	1	no	—
751	C₂×C₂²⋊Q₈	—	13	1	no	—
752	C₂×C₂²⋊Q₈	—	13	1	no	—
753	C₂×C₂²⋊Q₈	—	13	1	no	—
754	C₂×C₂²⋊Q₈	—	13	1	no	—
755	C₂×C₂²⋊Q₈	—	13	1	no	—
756	C₂×C₂²⋊Q₈	—	13	1	no	—
757	C₂×C₂²⋊Q₈	—	13	1	no	—
758	C₂×C₂²⋊Q₈	—	13	1	no	—
759	C₂×C₂²⋊Q₈	—	26	8	no	—
760	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
761	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
762	C₂×#117	—	13	1	no	—
763	C₂×#117	—	13	1	no	—
764	C₂²×C₄⋊C₄	—	13	1	no	—
765	C₂²×C₄⋊C₄	—	13	1	no	—
766	C₂²×C₄⋊C₄	—	13	1	no	—
767	C₂²×C₂²⋊C₄	—	13	1	no	—
768	C₂²×C₂²⋊C₄	—	13	1	no	—
769	#400	—	13	1	no	—
770	#400	—	13	1	no	—
771	#400	—	13	1	no	—
772	#400	—	13	1	no	—
773	#400	—	13	1	no	—
774	#400	—	13	1	no	—
775	#400	—	13	1	no	—
776	#400	—	13	1	no	—
777	#399	—	13	1	no	—
778	#399	—	13	1	no	—
779	#399	—	13	1	no	—
780	#399	C₂×D₁₃	1	1	yes	characteristic
781	#398	—	13	1	no	—
782	#398	—	13	1	no	—
783	#398	—	13	1	no	—
784	#398	—	13	1	no	—
785	#398	—	13	1	no	—
786	#398	—	13	1	no	—
787	#398	—	13	1	no	—
788	#398	—	13	1	no	—
789	#398	—	13	1	no	—
790	#398	—	13	1	no	—
791	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
792	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
793	#397	—	13	1	no	—
794	#397	—	13	1	no	—
795	#397	—	13	1	no	—
796	#397	—	13	1	no	—
797	#397	—	13	1	no	—
798	#397	—	13	1	no	—
799	#397	—	13	1	no	—
800	#397	—	13	1	no	—
801	#395	—	13	1	no	—
802	#395	—	13	1	no	—
803	#395	—	13	1	no	—
804	#395	—	13	1	no	—
805	#395	—	13	1	no	—
806	#395	—	13	1	no	—
807	#395	—	13	1	no	—
808	#395	—	13	1	no	—
809	#395	—	13	1	no	—
810	#395	—	13	1	no	—
811	#395	C₂×D₁₃	1	1	yes	characteristic, complemented
812	#395	C₂×D₁₃	1	1	yes	characteristic, complemented
813	#393	—	13	1	no	—
814	#393	—	13	1	no	—
815	#393	—	13	1	no	—
816	#393	C₂×D₁₃	1	1	yes	characteristic
817	#391	—	13	1	no	—
818	#391	—	13	1	no	—
819	#391	—	13	1	no	—
820	#391	—	13	1	no	—
821	#388	—	13	1	no	—
822	#388	—	13	1	no	—
823	#388	—	13	1	no	—
824	#388	—	13	1	no	—
825	#388	—	13	1	no	—
826	#388	—	13	1	no	—
827	#388	—	13	1	no	—
828	#388	—	13	1	no	—
829	#388	—	13	1	no	—
830	#388	—	13	1	no	—
831	#388	—	13	1	no	—
832	#388	—	13	1	no	—
833	#388	—	13	1	no	—
834	#388	—	13	1	no	—
835	#388	C₂×D₁₃	1	1	yes	characteristic
836	#388	C₂×D₁₃	1	1	yes	characteristic
837	#387	—	13	1	no	—
838	#387	—	13	1	no	—
839	#387	—	13	1	no	—
840	#387	—	13	1	no	—
841	#387	—	13	1	no	—
842	#387	—	13	1	no	—
843	#387	—	13	1	no	—
844	#387	—	13	1	no	—
845	#387	—	13	1	no	—
846	#387	—	13	1	no	—
847	#387	—	13	1	no	—
848	#387	—	13	1	no	—
849	#387	—	13	1	no	—
850	#387	—	13	1	no	—
851	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
852	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
853	#385	—	13	1	no	—
854	#385	—	13	1	no	—
855	#385	—	13	1	no	—
856	#385	—	13	1	no	—
857	#385	—	13	1	no	—
858	#385	—	13	1	no	—
859	#385	—	13	1	no	—
860	#385	—	13	1	no	—
861	#385	—	13	1	no	—
862	#385	—	13	1	no	—
863	#385	—	13	1	no	—
864	#385	—	13	1	no	—
865	#385	—	13	1	no	—
866	#385	—	13	1	no	—
867	#385	—	13	1	no	—
868	#385	C₂×D₁₃	1	1	yes	characteristic
869	#381	—	13	1	no	—
870	#381	—	13	1	no	—
871	#381	—	13	1	no	—
872	#381	—	13	1	no	—
873	#381	—	13	1	no	—
874	#381	—	13	1	no	—
875	#380	—	13	1	no	—
876	#380	—	13	1	no	—
877	#380	—	13	1	no	—
878	#380	—	13	1	no	—
879	#380	—	13	1	no	—
880	#380	—	13	1	no	—
881	#379	—	13	1	no	—
882	#379	—	13	1	no	—
883	#379	—	13	1	no	—
884	#379	—	13	1	no	—
885	C₄×C₂²⋊C₄	—	13	1	no	—
886	C₄×C₂²⋊C₄	—	13	1	no	—
887	C₂²×C₁₃	—	2	2	no	—
888	C₂²×C₁₃	—	2	2	no	—
889	C₂²×C₁₃	—	2	2	no	—
890	C₂²×C₁₃	—	4	1	no	—
891	C₂²×C₁₃	—	4	1	no	—
892	C₂²×C₁₃	—	4	1	no	—
893	C₂²×C₁₃	—	4	1	no	—
894	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
895	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
896	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
897	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
898	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
899	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
900	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
901	C₂×D₁₃	—	2	2	no	—
902	C₂×D₁₃	—	2	2	no	—
903	C₂×D₁₃	—	2	2	no	—
904	C₂×D₁₃	—	2	2	no	—
905	C₂×D₁₃	—	2	2	no	—
906	C₂×D₁₃	—	2	2	no	—
907	C₂×D₁₃	—	2	2	no	—
908	C₂×D₁₃	—	2	2	no	—
909	C₂×D₁₃	—	2	2	no	—
910	C₂×D₁₃	—	4	16	no	—
911	C₂×D₁₃	—	4	1	no	—
912	C₂×D₁₃	—	4	1	no	—
913	C₂×D₁₃	—	4	1	no	—
914	C₂×D₁₃	—	4	1	no	—
915	C₂×D₁₃	#536	1	4	yes	—
916	C₄×C₁₃	—	2	2	no	—
917	C₄×C₁₃	—	2	2	no	—
918	C₄×C₁₃	—	2	2	no	—
919	C₄×C₁₃	—	2	2	no	—
920	C₄×C₁₃	—	4	1	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₄×C₁₃	—	4	1	no	—
923	C₄×C₁₃	—	4	1	no	—
924	C₄×C₁₃	—	4	1	no	—
925	C₄×C₁₃	—	4	1	no	—
926	C₄×C₁₃	—	4	1	no	—
927	C₄×C₁₃	—	4	1	no	—
928	C₄×C₁₃	—	4	1	no	—
929	C₄×C₁₃	—	4	1	no	—
930	Dic₁₃	—	2	2	no	—
931	Dic₁₃	—	2	2	no	—
932	Dic₁₃	—	2	2	no	—
933	Dic₁₃	—	2	2	no	—
934	Dic₁₃	—	4	1	no	—
935	Dic₁₃	—	4	1	no	—
936	Dic₁₃	—	4	1	no	—
937	Dic₁₃	—	4	1	no	—
938	Dic₁₃	—	4	1	no	—
939	Dic₁₃	—	4	1	no	—
940	Dic₁₃	—	4	1	no	—
941	Dic₁₃	—	4	1	no	—
942	Dic₁₃	—	4	1	no	—
943	Dic₁₃	—	4	1	no	—
944	C₂⁵	—	13	1	no	—
945	C₂²×Q₈	—	13	1	no	—
946	C₂²×Q₈	—	13	1	no	—
947	C₂²×Q₈	—	13	1	no	—
948	C₂²×Q₈	—	13	1	no	—
949	C₂²×Q₈	—	13	1	no	—
950	C₂²×Q₈	—	26	4	no	—
951	C₂²×Q₈	—	52	2	no	—
952	C₂²×Q₈	—	52	2	no	—
953	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
954	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
955	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
956	C₂³×C₄	—	13	1	no	—
957	C₂³×C₄	—	13	1	no	—
958	C₂³×C₄	—	13	1	no	—
959	C₂³×C₄	—	13	1	no	—
960	C₂³×C₄	—	13	1	no	—
961	C₂³×C₄	—	13	1	no	—
962	C₂³×C₄	—	13	1	no	—
963	C₂³×C₄	—	13	1	no	—
964	C₂³×C₄	—	13	1	no	—
965	C₂³×C₄	—	26	4	no	—
966	C₂³×C₄	—	52	2	no	—
967	C₂³×C₄	—	52	2	no	—
968	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₄⋊Q₈	—	2	4	no	—
970	C₄⋊Q₈	—	4	2	no	—
971	C₄⋊Q₈	—	26	4	no	—
972	C₄⋊Q₈	—	26	4	no	—
973	C₄⋊Q₈	—	26	4	no	—
974	C₄⋊Q₈	—	52	2	no	—
975	C₄⋊Q₈	—	52	2	no	—
976	C₄⋊Q₈	—	52	2	no	—
977	#125	—	26	4	no	—
978	#125	—	26	4	no	—
979	#125	—	26	4	no	—
980	#125	—	26	4	no	—
981	C₂²⋊Q₈	—	2	4	no	—
982	C₂²⋊Q₈	—	4	2	no	—
983	C₂²⋊Q₈	—	26	4	no	—
984	C₂²⋊Q₈	—	26	4	no	—
985	C₂²⋊Q₈	—	26	4	no	—
986	C₂²⋊Q₈	—	26	4	no	—
987	C₂²⋊Q₈	—	26	4	no	—
988	C₂²⋊Q₈	—	26	4	no	—
989	C₂²⋊Q₈	—	26	4	no	—
990	C₂²⋊Q₈	—	26	4	no	—
991	C₂²⋊Q₈	—	26	4	no	—
992	C₂²⋊Q₈	—	26	4	no	—
993	C₂²⋊Q₈	—	26	4	no	—
994	C₂²⋊Q₈	—	52	2	no	—
995	C₂²⋊Q₈	—	52	2	no	—
996	C₂²⋊Q₈	—	52	2	no	—
997	#117	—	26	4	no	—
998	#117	—	26	4	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	8	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	—	13	1	no	—
1008	C₂×C₄⋊C₄	—	13	1	no	—
1009	C₂×C₄⋊C₄	—	13	1	no	—
1010	C₂×C₄⋊C₄	—	13	1	no	—
1011	C₂×C₄⋊C₄	—	13	1	no	—
1012	C₂×C₄⋊C₄	—	13	1	no	—
1013	C₂×C₄⋊C₄	—	13	1	no	—
1014	C₂×C₄⋊C₄	—	13	1	no	—
1015	C₂×C₄⋊C₄	—	13	1	no	—
1016	C₂×C₄⋊C₄	—	13	1	no	—
1017	C₂×C₄⋊C₄	—	13	1	no	—
1018	C₂×C₄⋊C₄	—	13	1	no	—
1019	C₂×C₄⋊C₄	—	13	1	no	—
1020	C₂×C₄⋊C₄	—	13	1	no	—
1021	C₂×C₄⋊C₄	—	13	1	no	—
1022	C₂×C₄⋊C₄	—	13	1	no	—
1023	C₂×C₄⋊C₄	—	13	1	no	—
1024	C₂×C₄⋊C₄	—	13	1	no	—
1025	C₂×C₄⋊C₄	—	13	1	no	—
1026	C₂×C₄⋊C₄	—	13	1	no	—
1027	C₂×C₄⋊C₄	—	13	1	no	—
1028	C₂×C₄⋊C₄	—	13	1	no	—
1029	C₂×C₄⋊C₄	—	13	1	no	—
1030	C₂×C₄⋊C₄	—	13	1	no	—
1031	C₂×C₄⋊C₄	—	13	1	no	—
1032	C₂×C₄⋊C₄	—	13	1	no	—
1033	C₂×C₄⋊C₄	—	13	1	no	—
1034	C₂×C₄⋊C₄	—	13	1	no	—
1035	C₂×C₄⋊C₄	—	26	4	no	—
1036	C₂×C₄⋊C₄	—	26	4	no	—
1037	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	—	13	1	no	—
1051	C₂×C₂²⋊C₄	—	13	1	no	—
1052	C₂×C₂²⋊C₄	—	13	1	no	—
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	13	1	no	—
1056	C₂×C₂²⋊C₄	—	13	1	no	—
1057	C₂×C₂²⋊C₄	—	13	1	no	—
1058	C₂×C₂²⋊C₄	—	13	1	no	—
1059	C₂×C₂²⋊C₄	—	13	1	no	—
1060	C₂×C₂²⋊C₄	—	13	1	no	—
1061	C₂×C₂²⋊C₄	—	13	1	no	—
1062	C₂×C₂²⋊C₄	—	13	1	no	—
1063	C₂×C₂²⋊C₄	—	13	1	no	—
1064	C₂×C₂²⋊C₄	—	13	1	no	—
1065	C₂×C₂²⋊C₄	—	13	1	no	—
1066	C₂×C₂²⋊C₄	—	13	1	no	—
1067	C₂×C₂²⋊C₄	—	13	1	no	—
1068	C₂×C₂²⋊C₄	—	13	1	no	—
1069	C₂×C₂²⋊C₄	—	13	1	no	—
1070	C₂×C₂²⋊C₄	—	13	1	no	—
1071	C₂×C₂²⋊C₄	—	13	1	no	—
1072	C₂×C₂²⋊C₄	—	13	1	no	—
1073	C₂×C₂²⋊C₄	—	13	1	no	—
1074	C₂×C₂²⋊C₄	—	13	1	no	—
1075	C₂×C₂²⋊C₄	—	13	1	no	—
1076	C₂×C₂²⋊C₄	—	26	4	no	—
1077	C₂×C₂²⋊C₄	—	26	4	no	—
1078	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1084	C₂×C₄²	—	13	1	no	—
1085	C₂×C₄²	—	13	1	no	—
1086	C₂×C₄²	—	13	1	no	—
1087	C₂×C₄²	—	13	1	no	—
1088	C₂×C₄²	—	13	1	no	—
1089	C₂×C₄²	—	13	1	no	—
1090	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	—	13	1	no	—
1093	#95	—	13	1	no	—
1094	#95	—	13	1	no	—
1095	#95	—	13	1	no	—
1096	#95	—	13	1	no	—
1097	#95	—	13	1	no	—
1098	#95	—	13	1	no	—
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	—	13	1	no	—
1113	#95	—	13	1	no	—
1114	#95	—	13	1	no	—
1115	#95	—	13	1	no	—
1116	#95	—	13	1	no	—
1117	#95	—	13	1	no	—
1118	#95	—	13	1	no	—
1119	#95	—	13	1	no	—
1120	#95	—	13	1	no	—
1121	#95	—	13	1	no	—
1122	#95	—	13	1	no	—
1123	#95	—	13	1	no	—
1124	#95	—	13	1	no	—
1125	#95	—	13	1	no	—
1126	#95	—	13	1	no	—
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	C₂²×D₁₃	1	1	yes	characteristic
1131	#95	C₂²×D₁₃	1	1	yes	characteristic
1132	#95	C₂²×D₁₃	1	1	yes	characteristic
1133	#95	C₂²×D₁₃	1	1	yes	characteristic
1134	#95	C₂²×D₁₃	1	1	yes	characteristic
1135	#95	C₂²×D₁₃	1	1	yes	characteristic
1136	#95	C₂²×D₁₃	1	1	yes	characteristic
1137	#95	C₂²×D₁₃	1	1	yes	characteristic
1138	#95	C₂²×D₁₃	1	1	yes	characteristic
1139	#95	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×C₁₃	—	4	2	no	—
1141	C₂×C₁₃	C₂×#536	1	1	yes	characteristic
1142	C₂×C₁₃	#3484	1	1	yes	characteristic
1143	C₂×C₁₃	#3486	1	1	yes	characteristic
1144	C₂×C₁₃	#3538	1	1	yes	characteristic
1145	C₂×C₁₃	#3538	1	1	yes	characteristic
1146	C₂×C₁₃	#3538	1	1	yes	characteristic
1147	C₂×C₁₃	#3538	1	1	yes	characteristic
1148	D₁₃	—	2	4	no	—
1149	D₁₃	—	4	2	no	—
1150	C₂⁴	—	13	1	no	—
1151	C₂⁴	—	13	1	no	—
1152	C₂⁴	—	26	2	no	—
1153	C₂⁴	—	26	2	no	—
1154	C₂⁴	—	26	2	no	—
1155	C₂⁴	—	26	2	no	—
1156	C₂⁴	—	26	2	no	—
1157	C₂⁴	—	52	1	no	—
1158	C₂⁴	—	52	1	no	—
1159	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1160	C₂×Q₈	—	2	2	no	—
1161	C₂×Q₈	—	2	2	no	—
1162	C₂×Q₈	—	2	2	no	—
1163	C₂×Q₈	—	2	2	no	—
1164	C₂×Q₈	—	4	1	no	—
1165	C₂×Q₈	—	4	1	no	—
1166	C₂×Q₈	—	4	1	no	—
1167	C₂×Q₈	—	4	1	no	—
1168	C₂×Q₈	—	4	1	no	—
1169	C₂×Q₈	—	26	2	no	—
1170	C₂×Q₈	—	26	2	no	—
1171	C₂×Q₈	—	26	2	no	—
1172	C₂×Q₈	—	26	2	no	—
1173	C₂×Q₈	—	26	2	no	—
1174	C₂×Q₈	—	26	2	no	—
1175	C₂×Q₈	—	26	2	no	—
1176	C₂×Q₈	—	26	2	no	—
1177	C₂×Q₈	—	52	1	no	—
1178	C₂×Q₈	—	52	1	no	—
1179	C₂×Q₈	—	52	1	no	—
1180	C₂×Q₈	—	52	1	no	—
1181	C₂×Q₈	—	52	1	no	—
1182	C₂×Q₈	—	52	1	no	—
1183	C₂×Q₈	—	52	1	no	—
1184	C₂×Q₈	—	52	16	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	13	1	no	—
1189	C₂²×C₄	—	13	1	no	—
1190	C₂²×C₄	—	13	1	no	—
1191	C₂²×C₄	—	13	1	no	—
1192	C₂²×C₄	—	13	4	no	—
1193	C₂²×C₄	—	13	4	no	—
1194	C₂²×C₄	—	13	4	no	—
1195	C₂²×C₄	—	13	1	no	—
1196	C₂²×C₄	—	13	1	no	—
1197	C₂²×C₄	—	13	1	no	—
1198	C₂²×C₄	—	13	1	no	—
1199	C₂²×C₄	—	13	1	no	—
1200	C₂²×C₄	—	13	1	no	—
1201	C₂²×C₄	—	13	1	no	—
1202	C₂²×C₄	—	13	1	no	—
1203	C₂²×C₄	—	13	1	no	—
1204	C₂²×C₄	—	13	1	no	—
1205	C₂²×C₄	—	26	2	no	—
1206	C₂²×C₄	—	26	2	no	—
1207	C₂²×C₄	—	26	2	no	—
1208	C₂²×C₄	—	26	2	no	—
1209	C₂²×C₄	—	26	2	no	—
1210	C₂²×C₄	—	26	2	no	—
1211	C₂²×C₄	—	26	2	no	—
1212	C₂²×C₄	—	26	2	no	—
1213	C₂²×C₄	—	26	2	no	—
1214	C₂²×C₄	—	26	2	no	—
1215	C₂²×C₄	—	26	2	no	—
1216	C₂²×C₄	—	26	2	no	—
1217	C₂²×C₄	—	26	2	no	—
1218	C₂²×C₄	—	26	2	no	—
1219	C₂²×C₄	—	26	2	no	—
1220	C₂²×C₄	—	52	1	no	—
1221	C₂²×C₄	—	52	1	no	—
1222	C₂²×C₄	—	52	1	no	—
1223	C₂²×C₄	—	52	1	no	—
1224	C₂²×C₄	—	52	1	no	—
1225	C₂²×C₄	—	52	1	no	—
1226	C₂²×C₄	—	52	1	no	—
1227	C₂²×C₄	—	52	1	no	—
1228	C₂²×C₄	—	52	16	no	—
1229	C₂²×C₄	—	52	1	no	—
1230	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1244	C₄⋊C₄	—	2	2	no	—
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	4	1	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₄⋊C₄	—	13	4	no	—
1257	C₄⋊C₄	—	13	4	no	—
1258	C₄⋊C₄	—	13	4	no	—
1259	C₄⋊C₄	—	26	2	no	—
1260	C₄⋊C₄	—	26	2	no	—
1261	C₄⋊C₄	—	26	2	no	—
1262	C₄⋊C₄	—	26	2	no	—
1263	C₄⋊C₄	—	26	2	no	—
1264	C₄⋊C₄	—	26	2	no	—
1265	C₄⋊C₄	—	26	2	no	—
1266	C₄⋊C₄	—	26	2	no	—
1267	C₄⋊C₄	—	26	2	no	—
1268	C₄⋊C₄	—	26	2	no	—
1269	C₄⋊C₄	—	26	2	no	—
1270	C₄⋊C₄	—	26	2	no	—
1271	C₄⋊C₄	—	26	2	no	—
1272	C₄⋊C₄	—	26	2	no	—
1273	C₄⋊C₄	—	26	2	no	—
1274	C₄⋊C₄	—	26	2	no	—
1275	C₄⋊C₄	—	26	2	no	—
1276	C₄⋊C₄	—	26	2	no	—
1277	C₄⋊C₄	—	26	2	no	—
1278	C₄⋊C₄	—	26	2	no	—
1279	C₄⋊C₄	—	26	2	no	—
1280	C₄⋊C₄	—	26	2	no	—
1281	C₄⋊C₄	—	26	2	no	—
1282	C₄⋊C₄	—	26	2	no	—
1283	C₄⋊C₄	—	52	1	no	—
1284	C₄⋊C₄	—	52	1	no	—
1285	C₄⋊C₄	—	52	1	no	—
1286	C₄⋊C₄	—	52	1	no	—
1287	C₄⋊C₄	—	52	1	no	—
1288	C₄⋊C₄	—	52	1	no	—
1289	C₄⋊C₄	—	52	1	no	—
1290	C₄⋊C₄	—	52	1	no	—
1291	C₄⋊C₄	D₄×D₁₃	1	4	yes	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	26	2	no	—
1299	C₂²⋊C₄	—	26	2	no	—
1300	C₂²⋊C₄	—	26	2	no	—
1301	C₂²⋊C₄	—	26	2	no	—
1302	C₂²⋊C₄	—	26	2	no	—
1303	C₂²⋊C₄	—	26	2	no	—
1304	C₂²⋊C₄	—	26	2	no	—
1305	C₂²⋊C₄	—	26	2	no	—
1306	C₂²⋊C₄	—	26	2	no	—
1307	C₂²⋊C₄	—	26	2	no	—
1308	C₂²⋊C₄	—	26	2	no	—
1309	C₂²⋊C₄	—	26	2	no	—
1310	C₂²⋊C₄	—	26	2	no	—
1311	C₂²⋊C₄	—	26	2	no	—
1312	C₂²⋊C₄	—	26	2	no	—
1313	C₂²⋊C₄	—	26	2	no	—
1314	C₂²⋊C₄	—	26	2	no	—
1315	C₂²⋊C₄	—	26	2	no	—
1316	C₂²⋊C₄	—	26	2	no	—
1317	C₂²⋊C₄	—	26	2	no	—
1318	C₂²⋊C₄	—	26	2	no	—
1319	C₂²⋊C₄	—	52	1	no	—
1320	C₂²⋊C₄	—	52	1	no	—
1321	C₂²⋊C₄	—	52	1	no	—
1322	C₂²⋊C₄	—	52	1	no	—
1323	C₂²⋊C₄	—	52	1	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	4	1	no	—
1326	C₄²	—	26	2	no	—
1327	C₄²	—	26	2	no	—
1328	C₄²	—	26	2	no	—
1329	C₄²	—	52	1	no	—
1330	C₄²	—	52	1	no	—
1331	C₄²	—	52	1	no	—
1332	C₁₃	#36708	1	1	yes	characteristic, complemented, Sylow
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	13	2	no	—
1340	C₂³	—	13	2	no	—
1341	C₂³	—	13	2	no	—
1342	C₂³	—	13	2	no	—
1343	C₂³	—	26	8	no	—
1344	C₂³	—	26	1	no	—
1345	C₂³	—	26	1	no	—
1346	C₂³	—	26	1	no	—
1347	C₂³	—	26	1	no	—
1348	C₂³	—	26	1	no	—
1349	C₂³	—	26	1	no	—
1350	C₂³	—	26	1	no	—
1351	C₂³	—	26	1	no	—
1352	C₂³	—	26	1	no	—
1353	C₂³	—	26	1	no	—
1354	C₂³	—	52	4	no	—
1355	C₂³	—	52	4	no	—
1356	C₂³	—	52	4	no	—
1357	C₂³	—	52	4	no	—
1358	C₂³	—	52	4	no	—
1359	C₂³	—	52	4	no	—
1360	C₂³	#88254	1	2	yes	—
1361	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1362	Q₈	—	4	4	no	—
1363	Q₈	—	8	2	no	—
1364	Q₈	—	8	2	no	—
1365	Q₈	—	52	4	no	—
1366	Q₈	—	52	4	no	—
1367	Q₈	—	52	4	no	—
1368	Q₈	—	104	2	no	—
1369	Q₈	—	104	2	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	13	2	no	—
1410	C₂×C₄	—	13	2	no	—
1411	C₂×C₄	—	13	2	no	—
1412	C₂×C₄	—	13	2	no	—
1413	C₂×C₄	—	26	8	no	—
1414	C₂×C₄	—	26	8	no	—
1415	C₂×C₄	—	26	1	no	—
1416	C₂×C₄	—	26	1	no	—
1417	C₂×C₄	—	26	1	no	—
1418	C₂×C₄	—	26	1	no	—
1419	C₂×C₄	—	26	1	no	—
1420	C₂×C₄	—	26	1	no	—
1421	C₂×C₄	—	26	1	no	—
1422	C₂×C₄	—	26	1	no	—
1423	C₂×C₄	—	26	1	no	—
1424	C₂×C₄	—	26	1	no	—
1425	C₂×C₄	—	26	1	no	—
1426	C₂×C₄	—	26	1	no	—
1427	C₂×C₄	—	26	1	no	—
1428	C₂×C₄	—	26	1	no	—
1429	C₂×C₄	—	26	1	no	—
1430	C₂×C₄	—	26	1	no	—
1431	C₂×C₄	—	26	1	no	—
1432	C₂×C₄	—	26	1	no	—
1433	C₂×C₄	—	26	1	no	—
1434	C₂×C₄	—	26	1	no	—
1435	C₂×C₄	—	26	1	no	—
1436	C₂×C₄	—	26	1	no	—
1437	C₂×C₄	—	26	1	no	—
1438	C₂×C₄	—	26	1	no	—
1439	C₂×C₄	—	26	1	no	—
1440	C₂×C₄	—	26	1	no	—
1441	C₂×C₄	—	26	1	no	—
1442	C₂×C₄	—	26	1	no	—
1443	C₂×C₄	—	26	1	no	—
1444	C₂×C₄	—	26	1	no	—
1445	C₂×C₄	—	26	1	no	—
1446	C₂×C₄	—	26	1	no	—
1447	C₂×C₄	—	26	1	no	—
1448	C₂×C₄	—	26	1	no	—
1449	C₂×C₄	—	26	1	no	—
1450	C₂×C₄	—	26	1	no	—
1451	C₂×C₄	—	26	1	no	—
1452	C₂×C₄	—	26	1	no	—
1453	C₂×C₄	—	52	4	no	—
1454	C₂×C₄	—	52	4	no	—
1455	C₂×C₄	—	52	4	no	—
1456	C₂×C₄	—	52	4	no	—
1457	C₂×C₄	—	52	4	no	—
1458	C₂×C₄	—	52	4	no	—
1459	C₂×C₄	—	52	4	no	—
1460	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1461	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1462	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1463	C₂×C₄	#88251	1	2	yes	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	13	4	no	—
1472	C₂²	—	26	2	no	—
1473	C₂²	—	26	2	no	—
1474	C₂²	—	26	2	no	—
1475	C₂²	—	26	2	no	—
1476	C₂²	—	26	2	no	—
1477	C₂²	—	26	2	no	—
1478	C₂²	—	26	2	no	—
1479	C₂²	—	26	2	no	—
1480	C₂²	—	26	2	no	—
1481	C₂²	—	52	16	no	—
1482	C₂²	—	52	1	no	—
1483	C₂²	—	52	1	no	—
1484	C₂²	—	52	1	no	—
1485	C₂²	—	52	1	no	—
1486	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1487	C₂²	C₂×#88251	1	1	yes	characteristic
1488	C₂²	C₂×#88254	1	1	yes	characteristic
1489	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1490	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1491	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1492	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	26	2	no	—
1508	C₄	—	26	2	no	—
1509	C₄	—	26	2	no	—
1510	C₄	—	26	2	no	—
1511	C₄	—	52	1	no	—
1512	C₄	—	52	1	no	—
1513	C₄	—	52	1	no	—
1514	C₄	—	52	1	no	—
1515	C₄	—	52	1	no	—
1516	C₄	—	52	1	no	—
1517	C₄	—	52	1	no	—
1518	C₄	—	52	1	no	—
1519	C₄	—	52	1	no	—
1520	C₄	—	52	1	no	—
1521	C₂	—	4	2	no	—
1522	C₂	—	26	4	no	—
1523	C₂	—	52	2	no	—
1524	C₂	D₁₃×#536	1	1	yes	characteristic
1525	C₂	#13128464	1	1	yes	characteristic
1526	C₂	#13128486	1	1	yes	characteristic
1527	C₂	#13129077	1	1	yes	characteristic
1528	C₂	#13129078	1	1	yes	characteristic
1529	C₂	#13129079	1	1	yes	characteristic
1530	C₂	#13129080	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2677	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2677	D₁₃
hypocenter	C₁₃	#36708
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2677

Complements

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

N	H ≅ G/N	type
1. C₂×#11719434	C₂	semidirect
5. #13121308	C₂	semidirect
6. #13121306	C₂	semidirect
7. #13121305	C₂	semidirect
8. #13121303	C₂	semidirect
9. #13121301	C₂	semidirect
10. #13121300	C₂	semidirect
11. #13121299	C₂	semidirect
12. #13121298	C₂	semidirect
13. #13121153	C₂	semidirect
14. #13121152	C₂	semidirect
15. #13121150	C₂	semidirect
16. #13121147	C₂	semidirect
17. #13121146	C₂	semidirect
18. #13121146	C₂	semidirect
19. #13121145	C₂	semidirect
20. #13120654	C₂	semidirect
21. #13120648	C₂	semidirect
24. #13119121	C₂	semidirect
25. #13119118	C₂	semidirect
28. #13118477	C₂	semidirect
29. #13118475	C₂	semidirect
30. #13117435	C₂	semidirect
31. C₁₃×#2677	C₂	semidirect
34. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
35. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
42. C₂×#88198	C₂²	semidirect
43. C₂×#88198	C₂²	semidirect
44. C₂×#88198	C₂²	semidirect
58. C₂×#88144	C₂²	semidirect
59. C₂×#88143	C₂²	semidirect
60. C₂×#88143	C₂²	semidirect
61. C₂×#88142	C₂²	semidirect
62. C₂×#88142	C₂²	semidirect
63. C₂×#88142	C₂²	semidirect
70. C₂×#88124	C₂²	semidirect
72. C₁₃×#398	C₂²	semidirect
73. C₁₃×#398	C₂²	semidirect
74. C₁₃×#395	C₂²	semidirect
75. C₁₃×#395	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
80. C₁₃×#387	C₂²	semidirect
83. #11718891	C₂²	semidirect
84. #11718890	C₂²	semidirect
85. #11718890	C₂²	semidirect
104. #11718647	C₂²	semidirect
105. #11718647	C₂²	semidirect
106. #11718645	C₂²	semidirect
107. #11718645	C₂²	semidirect
108. #11718645	C₂²	semidirect
109. #11718644	C₂²	semidirect
110. #11718642	C₂²	semidirect
111. #11718642	C₂²	semidirect
112. #11718642	C₂²	semidirect
113. #11718641	C₂²	semidirect
114. #11718641	C₂²	semidirect
115. #11718641	C₂²	semidirect
116. #11718640	C₂²	semidirect
117. #11718640	C₂²	semidirect
118. #11718640	C₂²	semidirect
119. #11718640	C₂²	semidirect
120. #11718640	C₂²	semidirect
121. #11718640	C₂²	semidirect
122. #11718639	C₂²	semidirect
123. #11718639	C₂²	semidirect
146. #11718594	C₂²	semidirect
147. #11718594	C₂²	semidirect
148. #11718590	C₂²	semidirect
169. #11718321	C₂²	semidirect
170. #11718321	C₂²	semidirect
171. #11718320	C₂²	semidirect
172. #11718320	C₂²	semidirect
173. #11718319	C₂²	semidirect
174. #11718319	C₂²	semidirect
175. #11718318	C₂²	semidirect
176. #11718318	C₂²	semidirect
177. #11718318	C₂²	semidirect
178. #11718317	C₂²	semidirect
179. #11718317	C₂²	semidirect
180. #11718316	C₂²	semidirect
181. #11718315	C₂²	semidirect
182. #11718314	C₂²	semidirect
183. #11718314	C₂²	semidirect
184. #11718313	C₂²	semidirect
185. #11718313	C₂²	semidirect
186. #11718313	C₂²	semidirect
187. #11718307	C₂²	semidirect
188. #11718307	C₂²	semidirect
587. #2677	D₁₃	semidirect
739. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
740. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
791. #398	C₂×D₁₃	semidirect
792. #398	C₂×D₁₃	semidirect
811. #395	C₂×D₁₃	semidirect
812. #395	C₂×D₁₃	semidirect
851. #387	C₂×D₁₃	semidirect
852. #387	C₂×D₁₃	semidirect
1332. C₁₃	#36708	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719434	2
C₂×D₁₃×C₂²⋊Q₈	2
#13123122	2
#13123120	2
#13121308	2
#13121306	2
#13121305	2
#13121303	2
#13121301	2
#13121300	2
#13121299	2
#13121298	2
#13121153	2
#13121152	2
#13121150	2
#13121147	2
#13121146	2
#13121145	2
#13120654	2
#13120648	2
#13119992	2
#13119990	2
#13119121	2
#13119118	2
#13119111	2
#13119108	2
#13118477	2
#13118475	2
#13117435	2
C₁₃×#2677	2
#36708	13