Subgroups — #16025971

Order 3328.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719354	C₂	1	1	yes	maximal, characteristic
2	#13118003	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117996	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117994	C₂	1	1	yes	maximal, characteristic
5	#13117987	C₂	1	1	yes	maximal, characteristic
6	#13117961	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117957	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117953	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117949	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117790	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117789	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117784	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117782	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117764	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117764	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117763	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117759	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117650	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117643	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117641	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117634	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117630	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117626	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117622	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117458	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117455	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117442	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117440	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117238	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117230	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
33	C₂×#88193	C₂²	1	1	yes	characteristic
34	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88183	C₂²	1	1	yes	characteristic
36	C₂²×#6101	C₂²	1	1	yes	characteristic
37	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
38	#11719354	C₄	1	16	yes	complemented
39	C₂×#88152	C₂²	1	1	yes	characteristic
40	C₂×#88146	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88143	C₂²	1	1	yes	characteristic
43	C₂×#88141	C₂²	1	1	yes	characteristic
44	C₂×#88139	C₂²	1	1	yes	characteristic
45	C₂×#88135	C₂²	1	1	yes	characteristic
46	C₂×#88135	C₂²	1	1	yes	characteristic
47	C₂×#88133	C₂²	1	1	yes	characteristic
48	C₂×#88132	C₂²	1	1	yes	characteristic
49	C₂×#88131	C₂²	1	1	yes	characteristic
50	C₂×#88131	C₂²	1	1	yes	characteristic
51	C₂×#88131	C₂²	1	1	yes	characteristic
52	C₂×#88131	C₂²	1	1	yes	characteristic
53	C₂×#88126	C₂²	1	1	yes	characteristic
54	C₁₃×#390	C₂²	1	1	yes	characteristic
55	C₁₃×#389	C₂²	1	1	yes	characteristic
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#388	C₂²	1	1	yes	characteristic
58	C₁₃×#388	C₂²	1	1	yes	characteristic
59	C₁₃×#388	C₂²	1	1	yes	characteristic
60	C₁₃×#387	C₂²	1	1	yes	characteristic
61	C₁₃×#387	C₂²	1	1	yes	characteristic
62	C₁₃×#386	C₂²	1	1	yes	characteristic
63	C₁₃×#385	C₂²	1	1	yes	characteristic
64	C₁₃×#380	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
68	#11718882	C₂²	1	1	yes	characteristic
69	#11718881	C₂²	1	1	yes	characteristic
70	#11718874	C₂²	1	1	yes	characteristic
71	#11718873	C₂²	1	1	yes	characteristic
72	#11718871	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
74	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
75	#11718651	C₂²	1	1	yes	characteristic
76	#11718651	C₂²	1	1	yes	characteristic
77	#11718650	C₂²	1	1	yes	characteristic
78	#11718650	C₂²	1	1	yes	characteristic
79	#11718646	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718639	C₂²	1	1	yes	characteristic
83	#11718639	C₂²	1	1	yes	characteristic
84	#11718639	C₂²	1	1	yes	characteristic
85	#11718639	C₂²	1	1	yes	characteristic
86	#11718637	C₂²	1	1	yes	characteristic
87	#11718637	C₂²	1	1	yes	characteristic
88	#11718637	C₂²	1	1	yes	characteristic
89	#11718637	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
94	#11718635	C₂²	1	1	yes	characteristic
95	#11718634	C₂²	1	1	yes	characteristic
96	#11718633	C₂²	1	1	yes	characteristic
97	#11718633	C₂²	1	1	yes	characteristic
98	#11718619	C₂²	1	1	yes	characteristic
99	#11718618	C₂²	1	1	yes	characteristic
100	#11718618	C₂²	1	1	yes	characteristic
101	#11718617	C₂²	1	1	yes	characteristic
102	#11718617	C₂²	1	1	yes	characteristic
103	#11718617	C₂²	1	1	yes	characteristic
104	#11718617	C₂²	1	1	yes	characteristic
105	#11718612	C₂²	1	1	yes	characteristic
106	#11718612	C₂²	1	1	yes	characteristic
107	#11718612	C₂²	1	1	yes	characteristic
108	#11718612	C₂²	1	1	yes	characteristic
109	#11718611	C₂²	1	1	yes	characteristic
110	#11718607	C₂²	1	1	yes	characteristic
111	#11718606	C₂²	1	1	yes	characteristic
112	#11718606	C₂²	1	1	yes	characteristic
113	#11718606	C₂²	1	1	yes	characteristic
114	#11718606	C₂²	1	1	yes	characteristic
115	#11718605	C₂²	1	1	yes	characteristic
116	#11718605	C₂²	1	1	yes	characteristic
117	#11718605	C₂²	1	1	yes	characteristic
118	#11718605	C₂²	1	1	yes	characteristic
119	#11718604	C₂²	1	1	yes	characteristic
120	#11718604	C₂²	1	1	yes	characteristic
121	#11718603	C₂²	1	1	yes	characteristic
122	#11718603	C₂²	1	1	yes	characteristic
123	#11718603	C₂²	1	1	yes	characteristic
124	#11718603	C₂²	1	1	yes	characteristic
125	#11718603	C₂²	1	1	yes	characteristic
126	#11718603	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
128	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
129	#11718601	C₂²	1	1	yes	characteristic
130	#11718601	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	C₄×#6103	C₂²	1	1	yes	characteristic
133	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
134	#11718594	C₂²	1	1	yes	characteristic
135	#11718594	C₂²	1	1	yes	characteristic
136	#11718594	C₂²	1	1	yes	characteristic
137	#11718594	C₂²	1	1	yes	characteristic
138	#11718593	C₂²	1	1	yes	characteristic
139	#11718593	C₂²	1	1	yes	characteristic
140	C₄×#6101	C₂²	1	1	yes	characteristic
141	C₄×#6101	C₂²	1	1	yes	characteristic
142	C₄×#6101	C₂²	1	1	yes	characteristic
143	C₄×#6101	C₂²	1	1	yes	characteristic
144	C₄×#6101	C₂²	1	1	yes	characteristic
145	C₄×#6101	C₂²	1	1	yes	characteristic
146	#11718590	C₂²	1	1	yes	characteristic
147	#11718589	C₂²	1	1	yes	characteristic
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718330	C₂²	1	1	yes	characteristic
151	#11718330	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic
153	#11718329	C₂²	1	1	yes	characteristic
154	#11718328	C₂²	1	1	yes	characteristic
155	#11718328	C₂²	1	1	yes	characteristic
156	#11718327	C₂²	1	1	yes	characteristic
157	#11718327	C₂²	1	1	yes	characteristic
158	#11718316	C₂²	1	1	yes	characteristic
159	#11718316	C₂²	1	1	yes	characteristic
160	#11718316	C₂²	1	1	yes	characteristic
161	#11718316	C₂²	1	1	yes	characteristic
162	#11718315	C₂²	1	1	yes	characteristic
163	#11718315	C₂²	1	1	yes	characteristic
164	#11718314	C₂²	1	1	yes	characteristic
165	#11718314	C₂²	1	1	yes	characteristic
166	#11718313	C₂²	1	1	yes	characteristic
167	#11718313	C₂²	1	1	yes	characteristic
168	#11718313	C₂²	1	1	yes	characteristic
169	#11718313	C₂²	1	1	yes	characteristic
170	#11718312	C₂²	1	1	yes	characteristic
171	#11718312	C₂²	1	1	yes	characteristic
172	#11718311	C₂²	1	1	yes	characteristic
173	#11718311	C₂²	1	1	yes	characteristic
174	#11718311	C₂²	1	1	yes	characteristic
175	#11718311	C₂²	1	1	yes	characteristic
176	#11718311	C₂²	1	1	yes	characteristic
177	#11718311	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718310	C₂²	1	1	yes	characteristic
180	#11718310	C₂²	1	1	yes	characteristic
181	#11718310	C₂²	1	1	yes	characteristic
182	#11718310	C₂²	1	1	yes	characteristic
183	#11718310	C₂²	1	1	yes	characteristic
184	#11718308	C₂²	1	1	yes	characteristic
185	#11718308	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂²×D₄×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	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
201	C₁₃×#123	C₂×C₄	1	8	yes	complemented
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	#88193	C₂×C₄	1	8	yes	—
235	D₄×Dic₁₃	C₂×C₄	1	8	yes	complemented
236	#88183	C₂×C₄	1	8	yes	complemented
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	C₂³	1	1	yes	characteristic
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×#6101	—	4	2	no	—
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#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×C₄×Dic₁₃	C₂×C₄	1	8	yes	complemented
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	#88152	C₂×C₄	1	8	yes	complemented
302	#88146	C₂×C₄	1	8	yes	complemented
303	C₄⋊C₄×D₁₃	—	4	2	no	—
304	#88143	C₂×C₄	1	8	yes	complemented
305	#88141	C₂×C₄	1	8	yes	complemented
306	#88139	C₂×C₄	1	8	yes	—
307	#88135	C₂×C₄	1	8	yes	—
308	#88135	C₂×C₄	1	8	yes	complemented
309	#88133	C₂×C₄	1	8	yes	complemented
310	#88132	C₂×C₄	1	8	yes	complemented
311	#88131	—	4	2	no	—
312	#88131	—	4	2	no	—
313	#88131	—	4	2	no	—
314	#88131	C₂×C₄	1	8	yes	complemented
315	#88126	—	4	2	no	—
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#34385	—	13	1	no	maximal, Sylow
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₁₃	—	4	1	no	—
369	C₂×D₄×C₁₃	—	4	1	no	—
370	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
371	C₂²×C₄×C₁₃	—	4	1	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	C₂²×C₄	1	4	yes	—
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	C₂×C₂²⋊D₁₃	—	4	1	no	—
391	C₂×C₂²⋊D₁₃	—	4	1	no	—
392	C₂×C₂²⋊D₁₃	—	4	1	no	—
393	C₂×C₂²⋊D₁₃	—	4	1	no	—
394	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
395	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
396	C₂²×Dic₁₃	—	2	2	no	—
397	C₂²×Dic₁₃	—	2	2	no	—
398	C₂²×Dic₁₃	—	2	2	no	—
399	C₂²×Dic₁₃	—	2	2	no	—
400	C₂²×Dic₁₃	—	4	1	no	—
401	C₂²×Dic₁₃	—	4	1	no	—
402	C₂²×Dic₁₃	—	4	1	no	—
403	C₂²×Dic₁₃	—	4	1	no	—
404	C₂²×Dic₁₃	—	4	1	no	—
405	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
406	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
407	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	4	1	no	—
426	C₂×C₄×D₁₃	—	4	1	no	—
427	C₂×C₄×D₁₃	—	4	1	no	—
428	C₂×C₄×D₁₃	—	4	1	no	—
429	C₂×C₄×D₁₃	—	4	1	no	—
430	C₂×C₄×D₁₃	—	4	1	no	—
431	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
432	C₂×Dic₂₆	—	4	1	no	—
433	C₂×Dic₂₆	—	4	1	no	—
434	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
435	C₁₃×C₄⋊C₄	—	4	1	no	—
436	C₁₃×C₄⋊C₄	—	4	1	no	—
437	C₁₃×C₄⋊C₄	—	4	1	no	—
438	C₁₃×C₄⋊C₄	—	4	1	no	—
439	C₁₃×C₄⋊C₄	—	4	1	no	—
440	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
441	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
442	C₁₃×C₂²⋊C₄	—	4	1	no	—
443	C₁₃×C₂²⋊C₄	—	4	1	no	—
444	C₁₃×C₂²⋊C₄	—	4	1	no	—
445	C₁₃×C₂²⋊C₄	—	4	1	no	—
446	C₁₃×C₂²⋊C₄	—	4	1	no	—
447	C₁₃×C₂²⋊C₄	—	4	1	no	—
448	C₁₃×C₂²⋊C₄	—	4	1	no	—
449	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
450	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
451	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
452	C₄²×C₁₃	—	4	1	no	—
453	C₄²×C₁₃	—	4	1	no	—
454	C₄²×C₁₃	—	4	1	no	—
455	C₄²×C₁₃	—	4	1	no	—
456	C₄²×C₁₃	—	4	1	no	—
457	C₂²⋊Dic₁₃	—	4	1	no	—
458	C₂²⋊Dic₁₃	—	4	1	no	—
459	C₂²⋊Dic₁₃	—	4	1	no	—
460	C₂²⋊Dic₁₃	—	4	1	no	—
461	C₂²⋊Dic₁₃	—	4	1	no	—
462	C₂²⋊Dic₁₃	—	4	1	no	—
463	C₂²⋊Dic₁₃	—	4	1	no	—
464	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
465	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
466	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
467	#6103	—	4	1	no	—
468	#6103	—	4	1	no	—
469	#6103	—	4	1	no	—
470	#6103	—	4	1	no	—
471	#6103	—	4	1	no	—
472	#6103	—	4	1	no	—
473	#6103	C₂²×C₄	1	4	yes	—
474	#6103	C₂²×C₄	1	4	yes	—
475	#6103	C₂²×C₄	1	4	yes	—
476	#6103	C₂²×C₄	1	4	yes	—
477	C₄⋊Dic₁₃	—	4	1	no	—
478	C₄⋊Dic₁₃	—	4	1	no	—
479	C₄⋊Dic₁₃	—	4	1	no	—
480	C₄⋊Dic₁₃	—	4	1	no	—
481	C₄⋊Dic₁₃	—	4	1	no	—
482	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
483	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
484	#6101	—	2	2	no	—
485	#6101	—	2	2	no	—
486	#6101	—	2	2	no	—
487	#6101	—	2	2	no	—
488	#6101	—	2	2	no	—
489	#6101	—	2	2	no	—
490	#6101	—	2	2	no	—
491	#6101	—	2	2	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	C₂²×C₄	1	4	yes	—
503	#6101	C₂²×C₄	1	4	yes	—
504	#6101	C₂²×C₄	1	4	yes	—
505	#6101	C₂²×C₄	1	4	yes	—
506	#6101	C₂²×C₄	1	4	yes	—
507	#6101	C₂²×C₄	1	4	yes	—
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	C₄×Dic₁₃	—	4	1	no	—
515	C₄×Dic₁₃	—	4	1	no	—
516	C₄×Dic₁₃	—	4	1	no	—
517	C₄×Dic₁₃	—	4	1	no	—
518	C₄×Dic₁₃	—	4	1	no	—
519	C₄×Dic₁₃	—	4	1	no	—
520	C₄×Dic₁₃	—	4	1	no	—
521	C₄×Dic₁₃	—	4	1	no	—
522	C₄×Dic₁₃	—	4	1	no	—
523	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
524	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
525	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
526	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
527	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
528	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
529	C₂×#529	—	13	1	no	—
530	#2378	—	13	1	no	—
531	#2378	—	13	1	no	—
532	#2377	—	13	1	no	—
533	#2377	—	13	1	no	—
534	#2373	—	13	1	no	—
535	#2373	—	13	1	no	—
536	#2373	—	13	1	no	—
537	#2373	—	13	1	no	—
538	#2355	—	13	1	no	—
539	#2355	—	13	1	no	—
540	#2354	—	13	1	no	—
541	#2354	—	13	1	no	—
542	#2352	—	13	1	no	—
543	#2352	—	13	1	no	—
544	#2352	—	13	1	no	—
545	#2352	—	13	1	no	—
546	#2337	—	13	1	no	—
547	#2337	—	13	1	no	—
548	#2336	—	13	1	no	—
549	#2336	—	13	1	no	—
550	#2335	—	13	1	no	—
551	#2335	—	13	1	no	—
552	#2335	—	13	1	no	—
553	#2335	D₁₃	1	1	yes	characteristic, complemented
554	#2317	—	13	1	no	—
555	#2317	—	13	1	no	—
556	#2314	—	13	1	no	—
557	#2314	—	13	1	no	—
558	#2285	—	13	1	no	—
559	#2283	—	13	1	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
573	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
574	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
575	C₂²×D₁₃	—	2	1	no	—
576	C₂²×D₁₃	—	2	1	no	—
577	C₂²×D₁₃	—	2	1	no	—
578	C₂²×D₁₃	—	2	1	no	—
579	C₂²×D₁₃	—	2	1	no	—
580	C₂²×D₁₃	—	2	1	no	—
581	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
582	D₄×C₁₃	—	4	4	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	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	4	4	no	—
618	C₂×C₄×C₁₃	—	8	2	no	—
619	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
620	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
621	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
622	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
623	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
624	C₂²⋊D₁₃	—	4	4	no	—
625	C₂²⋊D₁₃	—	4	4	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	8	no	—
639	C₂×Dic₁₃	—	2	8	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	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	4	4	no	—
665	C₂×Dic₁₃	—	8	2	no	—
666	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
667	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
668	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
669	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
670	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
671	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
672	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
673	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
674	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
675	C₄×D₁₃	—	2	8	no	—
676	C₄×D₁₃	—	8	2	no	—
677	C₄×D₁₃	—	8	2	no	—
678	Dic₂₆	—	4	4	no	—
679	#529	—	13	16	no	—
680	C₂×#126	—	13	1	no	—
681	C₂×#126	—	13	1	no	—
682	C₂×#125	—	13	1	no	—
683	C₂×#124	—	13	1	no	—
684	C₂×#123	—	13	1	no	—
685	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
686	C₂×C₂²⋊Q₈	—	13	1	no	—
687	C₂×#121	—	13	1	no	—
688	C₂×C₄×Q₈	—	13	1	no	—
689	C₂×C₄×D₄	—	13	1	no	—
690	C₂×C₄×D₄	—	13	1	no	—
691	C₂×C₄×D₄	—	13	1	no	—
692	C₂×#117	—	13	1	no	—
693	C₂×#117	—	13	1	no	—
694	C₂×#117	—	13	1	no	—
695	C₂×#117	—	13	1	no	—
696	C₂×#117	—	13	1	no	—
697	C₂×#117	—	13	1	no	—
698	C₂²×C₄⋊C₄	—	13	1	no	—
699	C₂²×C₄⋊C₄	—	13	1	no	—
700	C₂²×C₄²	—	13	1	no	—
701	#391	—	13	1	no	—
702	#391	—	13	1	no	—
703	#391	—	13	1	no	—
704	#391	—	13	1	no	—
705	#390	—	13	1	no	—
706	#390	—	13	1	no	—
707	#390	—	13	1	no	—
708	#390	C₂×D₁₃	1	1	yes	characteristic
709	#389	—	13	1	no	—
710	#389	—	13	1	no	—
711	#389	—	13	1	no	—
712	#389	—	13	1	no	—
713	#389	—	13	1	no	—
714	#389	—	13	1	no	—
715	#389	—	13	1	no	—
716	#389	C₂×D₁₃	1	1	yes	characteristic
717	#388	—	13	1	no	—
718	#388	—	13	1	no	—
719	#388	—	13	1	no	—
720	#388	—	13	1	no	—
721	#388	—	13	1	no	—
722	#388	—	13	1	no	—
723	#388	—	13	1	no	—
724	#388	—	13	1	no	—
725	#388	—	13	1	no	—
726	#388	—	13	1	no	—
727	#388	—	13	1	no	—
728	#388	—	13	1	no	—
729	#388	—	13	1	no	—
730	#388	—	13	1	no	—
731	#388	—	13	1	no	—
732	#388	—	13	1	no	—
733	#388	—	13	1	no	—
734	#388	—	13	1	no	—
735	#388	—	13	1	no	—
736	#388	—	13	1	no	—
737	#388	C₂×D₁₃	1	1	yes	characteristic
738	#388	C₂×D₁₃	1	1	yes	characteristic
739	#388	C₂×D₁₃	1	1	yes	characteristic
740	#388	C₂×D₁₃	1	1	yes	characteristic
741	#387	—	13	1	no	—
742	#387	—	13	1	no	—
743	#387	—	13	1	no	—
744	#387	—	13	1	no	—
745	#387	—	13	1	no	—
746	#387	—	13	1	no	—
747	#387	—	13	1	no	—
748	#387	—	13	1	no	—
749	#387	—	13	1	no	—
750	#387	—	13	1	no	—
751	#387	—	13	1	no	—
752	#387	—	13	1	no	—
753	#387	—	13	1	no	—
754	#387	—	13	1	no	—
755	#387	—	13	1	no	—
756	#387	—	13	1	no	—
757	#387	—	13	1	no	—
758	#387	—	13	1	no	—
759	#387	—	13	1	no	—
760	#387	—	13	1	no	—
761	#387	—	13	1	no	—
762	#387	—	13	1	no	—
763	#387	C₂×D₁₃	1	1	yes	characteristic
764	#387	C₂×D₁₃	1	1	yes	characteristic
765	#386	—	13	1	no	—
766	#386	—	13	1	no	—
767	#386	—	13	1	no	—
768	#386	—	13	1	no	—
769	#386	—	13	1	no	—
770	#386	—	13	1	no	—
771	#386	—	13	1	no	—
772	#386	C₂×D₁₃	1	1	yes	characteristic
773	#385	—	13	1	no	—
774	#385	—	13	1	no	—
775	#385	—	13	1	no	—
776	#385	—	13	1	no	—
777	#385	—	13	1	no	—
778	#385	—	13	1	no	—
779	#385	—	13	1	no	—
780	#385	C₂×D₁₃	1	1	yes	characteristic
781	#384	—	13	1	no	—
782	#384	—	13	1	no	—
783	#384	—	13	1	no	—
784	#384	—	13	1	no	—
785	#383	—	13	1	no	—
786	#383	—	13	1	no	—
787	#382	—	13	1	no	—
788	#382	—	13	1	no	—
789	#382	—	13	1	no	—
790	#382	—	13	1	no	—
791	#382	—	13	1	no	—
792	#382	—	13	1	no	—
793	#381	—	13	1	no	—
794	#381	—	13	1	no	—
795	#380	—	13	1	no	—
796	#380	—	13	1	no	—
797	#380	—	13	1	no	—
798	#380	—	13	1	no	—
799	#380	—	13	1	no	—
800	#380	—	13	1	no	—
801	#380	—	13	1	no	—
802	#380	—	13	1	no	—
803	#380	—	13	1	no	—
804	#380	C₂×D₁₃	1	1	yes	characteristic
805	C₄×C₄⋊C₄	—	13	1	no	—
806	C₄×C₄⋊C₄	—	13	1	no	—
807	C₄×C₄⋊C₄	—	13	1	no	—
808	C₄×C₄⋊C₄	—	13	1	no	—
809	C₄×C₄⋊C₄	—	13	1	no	—
810	C₄×C₄⋊C₄	—	13	1	no	—
811	C₄×C₄⋊C₄	—	13	1	no	—
812	C₄×C₄⋊C₄	—	13	1	no	—
813	C₄×C₄⋊C₄	—	13	1	no	—
814	C₄×C₄⋊C₄	—	13	1	no	—
815	C₄×C₄⋊C₄	—	13	1	no	—
816	C₄×C₄⋊C₄	—	13	1	no	—
817	C₄×C₄⋊C₄	—	13	1	no	—
818	C₄×C₄⋊C₄	—	13	1	no	—
819	C₄×C₄⋊C₄	—	13	1	no	—
820	C₄×C₄⋊C₄	—	13	1	no	—
821	C₄×C₄⋊C₄	—	13	1	no	—
822	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
823	C₄×C₂²⋊C₄	—	13	1	no	—
824	C₄×C₂²⋊C₄	—	13	1	no	—
825	C₄×C₂²⋊C₄	—	13	1	no	—
826	C₄×C₂²⋊C₄	—	13	1	no	—
827	C₄×C₂²⋊C₄	—	13	1	no	—
828	C₄×C₂²⋊C₄	—	13	1	no	—
829	C₄×C₂²⋊C₄	—	13	1	no	—
830	C₄×C₂²⋊C₄	—	13	1	no	—
831	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
832	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
833	#376	—	13	1	no	—
834	#376	—	13	1	no	—
835	C₂²×C₁₃	—	2	2	no	—
836	C₂²×C₁₃	—	2	2	no	—
837	C₂²×C₁₃	—	2	2	no	—
838	C₂²×C₁₃	—	2	2	no	—
839	C₂²×C₁₃	—	2	2	no	—
840	C₂²×C₁₃	—	2	2	no	—
841	C₂²×C₁₃	—	4	1	no	—
842	C₂²×C₁₃	—	4	1	no	—
843	C₂²×C₁₃	—	4	1	no	—
844	C₂²×C₁₃	—	4	1	no	—
845	C₂²×C₁₃	—	4	1	no	—
846	C₂²×C₁₃	—	4	1	no	—
847	C₂²×C₁₃	—	4	1	no	—
848	C₂²×C₁₃	—	4	1	no	—
849	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
850	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
851	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
852	C₂²×C₁₃	#585	1	1	yes	characteristic
853	C₂²×C₁₃	#585	1	1	yes	characteristic
854	C₂²×C₁₃	#585	1	1	yes	characteristic
855	C₂²×C₁₃	#585	1	1	yes	characteristic
856	C₂×D₁₃	—	2	2	no	—
857	C₂×D₁₃	—	2	2	no	—
858	C₂×D₁₃	—	2	2	no	—
859	C₂×D₁₃	—	4	1	no	—
860	C₂×D₁₃	—	4	1	no	—
861	C₂×D₁₃	—	4	1	no	—
862	C₂×D₁₃	—	4	1	no	—
863	C₄×C₁₃	—	2	2	no	—
864	C₄×C₁₃	—	2	2	no	—
865	C₄×C₁₃	—	2	2	no	—
866	C₄×C₁₃	—	2	2	no	—
867	C₄×C₁₃	—	2	2	no	—
868	C₄×C₁₃	—	4	1	no	—
869	C₄×C₁₃	—	4	1	no	—
870	C₄×C₁₃	—	4	1	no	—
871	C₄×C₁₃	—	4	1	no	—
872	C₄×C₁₃	—	4	1	no	—
873	C₄×C₁₃	—	4	1	no	—
874	C₄×C₁₃	—	4	1	no	—
875	C₄×C₁₃	—	4	1	no	—
876	Dic₁₃	—	2	2	no	—
877	Dic₁₃	—	2	2	no	—
878	Dic₁₃	—	2	2	no	—
879	Dic₁₃	—	2	2	no	—
880	Dic₁₃	—	2	2	no	—
881	Dic₁₃	—	2	2	no	—
882	Dic₁₃	—	4	1	no	—
883	Dic₁₃	—	4	1	no	—
884	Dic₁₃	—	4	1	no	—
885	Dic₁₃	—	4	1	no	—
886	Dic₁₃	—	4	1	no	—
887	Dic₁₃	—	4	1	no	—
888	Dic₁₃	—	4	1	no	—
889	Dic₁₃	—	4	1	no	—
890	Dic₁₃	#520	1	4	yes	—
891	C₂²×Q₈	—	13	1	no	—
892	C₂²×D₄	—	13	1	no	—
893	C₂²×D₄	—	13	1	no	—
894	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
895	C₂³×C₄	—	13	1	no	—
896	C₂³×C₄	—	13	1	no	—
897	C₂³×C₄	—	13	1	no	—
898	C₂³×C₄	—	13	1	no	—
899	C₂³×C₄	—	13	1	no	—
900	C₂³×C₄	—	13	1	no	—
901	C₂³×C₄	—	13	1	no	—
902	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
903	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
904	#126	—	13	8	no	—
905	#126	—	13	8	no	—
906	#125	—	13	8	no	—
907	#124	—	13	8	no	—
908	#123	—	13	8	no	—
909	#123	C₄×D₁₃	1	8	yes	complemented
910	C₂²⋊Q₈	—	13	8	no	—
911	#121	—	13	8	no	—
912	C₄×Q₈	—	13	8	no	—
913	C₄×D₄	—	13	8	no	—
914	C₄×D₄	—	13	8	no	—
915	C₄×D₄	—	13	8	no	—
916	#117	—	13	8	no	—
917	#117	—	13	8	no	—
918	#117	—	52	2	no	—
919	#117	—	52	2	no	—
920	#117	—	52	2	no	—
921	#117	—	52	2	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	—	13	1	no	—
934	C₂×C₄⋊C₄	—	13	1	no	—
935	C₂×C₄⋊C₄	—	13	1	no	—
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	1	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	52	2	no	—
954	C₂×C₄⋊C₄	—	52	2	no	—
955	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	13	1	no	—
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₄²	—	13	8	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	1	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	1	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	13	1	no	—
1011	C₂×C₄²	—	13	1	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	C₂²×D₁₃	1	1	yes	characteristic
1058	#95	C₂²×D₁₃	1	1	yes	characteristic
1059	#95	C₂²×D₁₃	1	1	yes	characteristic
1060	#95	C₂²×D₁₃	1	1	yes	characteristic
1061	#95	C₂²×D₁₃	1	1	yes	characteristic
1062	#95	C₂²×D₁₃	1	1	yes	characteristic
1063	#95	C₂²×D₁₃	1	1	yes	characteristic
1064	#95	C₂²×D₁₃	1	1	yes	characteristic
1065	#95	C₂²×D₁₃	1	1	yes	characteristic
1066	#95	C₂²×D₁₃	1	1	yes	characteristic
1067	C₂×C₁₃	—	4	2	no	—
1068	C₂×C₁₃	—	4	2	no	—
1069	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1070	C₂×C₁₃	#3428	1	1	yes	characteristic
1071	C₂×C₁₃	#3428	1	1	yes	characteristic
1072	C₂×C₁₃	#3562	1	1	yes	characteristic
1073	C₂×C₁₃	#3562	1	1	yes	characteristic
1074	C₂×C₁₃	#3565	1	1	yes	characteristic
1075	C₂×C₁₃	#3565	1	1	yes	characteristic
1076	D₁₃	—	4	2	no	—
1077	C₂⁴	—	13	1	no	—
1078	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1079	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1080	C₂×Q₈	—	13	4	no	—
1081	C₂×Q₈	—	52	1	no	—
1082	C₂×Q₈	—	52	1	no	—
1083	C₂×D₄	—	4	1	no	—
1084	C₂×D₄	—	4	1	no	—
1085	C₂×D₄	—	13	4	no	—
1086	C₂×D₄	—	13	4	no	—
1087	C₂×D₄	—	52	1	no	—
1088	C₂×D₄	—	52	1	no	—
1089	C₂×D₄	—	52	1	no	—
1090	C₂×D₄	—	52	1	no	—
1091	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	13	4	no	—
1099	C₂²×C₄	—	13	4	no	—
1100	C₂²×C₄	—	13	1	no	—
1101	C₂²×C₄	—	13	1	no	—
1102	C₂²×C₄	—	13	1	no	—
1103	C₂²×C₄	—	13	1	no	—
1104	C₂²×C₄	—	13	1	no	—
1105	C₂²×C₄	—	13	1	no	—
1106	C₂²×C₄	—	13	4	no	—
1107	C₂²×C₄	—	13	4	no	—
1108	C₂²×C₄	—	13	1	no	—
1109	C₂²×C₄	—	13	1	no	—
1110	C₂²×C₄	—	13	1	no	—
1111	C₂²×C₄	—	13	1	no	—
1112	C₂²×C₄	—	13	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	13	1	no	—
1116	C₂²×C₄	—	26	2	no	—
1117	C₂²×C₄	—	26	2	no	—
1118	C₂²×C₄	—	26	2	no	—
1119	C₂²×C₄	—	26	2	no	—
1120	C₂²×C₄	—	26	2	no	—
1121	C₂²×C₄	—	26	2	no	—
1122	C₂²×C₄	—	52	1	no	—
1123	C₂²×C₄	—	52	1	no	—
1124	C₂²×C₄	—	52	1	no	—
1125	C₂²×C₄	—	52	1	no	—
1126	C₂²×C₄	—	52	1	no	—
1127	C₂²×C₄	—	52	1	no	—
1128	C₂²×C₄	—	52	1	no	—
1129	C₂²×C₄	—	52	1	no	—
1130	C₂²×C₄	—	52	1	no	—
1131	C₂²×C₄	—	52	1	no	—
1132	C₂²×C₄	—	52	1	no	—
1133	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1134	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	13	4	no	—
1153	C₄⋊C₄	—	13	4	no	—
1154	C₄⋊C₄	—	13	4	no	—
1155	C₄⋊C₄	—	13	4	no	—
1156	C₄⋊C₄	—	13	4	no	—
1157	C₄⋊C₄	—	13	4	no	—
1158	C₄⋊C₄	—	13	4	no	—
1159	C₄⋊C₄	—	13	4	no	—
1160	C₄⋊C₄	—	26	2	no	—
1161	C₄⋊C₄	—	26	2	no	—
1162	C₄⋊C₄	—	26	2	no	—
1163	C₄⋊C₄	—	26	2	no	—
1164	C₄⋊C₄	—	26	2	no	—
1165	C₄⋊C₄	—	26	2	no	—
1166	C₄⋊C₄	—	26	2	no	—
1167	C₄⋊C₄	—	26	2	no	—
1168	C₄⋊C₄	—	52	1	no	—
1169	C₄⋊C₄	—	52	1	no	—
1170	C₄⋊C₄	—	52	1	no	—
1171	C₄⋊C₄	—	52	1	no	—
1172	C₄⋊C₄	—	52	1	no	—
1173	C₄⋊C₄	—	52	1	no	—
1174	C₄⋊C₄	—	52	1	no	—
1175	C₄⋊C₄	—	52	1	no	—
1176	C₄⋊C₄	—	52	1	no	—
1177	C₄⋊C₄	—	52	1	no	—
1178	C₄⋊C₄	—	52	1	no	—
1179	C₄⋊C₄	—	52	1	no	—
1180	C₄⋊C₄	—	52	1	no	—
1181	C₄⋊C₄	—	52	1	no	—
1182	C₄⋊C₄	—	52	1	no	—
1183	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1184	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1185	C₂²⋊C₄	—	4	1	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	13	4	no	—
1193	C₂²⋊C₄	—	13	4	no	—
1194	C₂²⋊C₄	—	13	4	no	—
1195	C₂²⋊C₄	—	13	4	no	—
1196	C₂²⋊C₄	—	13	4	no	—
1197	C₂²⋊C₄	—	13	4	no	—
1198	C₂²⋊C₄	—	13	4	no	—
1199	C₂²⋊C₄	—	52	1	no	—
1200	C₂²⋊C₄	—	52	1	no	—
1201	C₂²⋊C₄	—	52	1	no	—
1202	C₂²⋊C₄	—	52	1	no	—
1203	C₂²⋊C₄	—	52	1	no	—
1204	C₂²⋊C₄	—	52	1	no	—
1205	C₂²⋊C₄	—	52	1	no	—
1206	C₂²⋊C₄	—	52	1	no	—
1207	C₂²⋊C₄	—	52	1	no	—
1208	C₂²⋊C₄	—	52	1	no	—
1209	C₂²⋊C₄	—	52	1	no	—
1210	C₂²⋊C₄	—	52	1	no	—
1211	C₂²⋊C₄	—	52	1	no	—
1212	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1213	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1214	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	4	1	no	—
1220	C₄²	—	13	4	no	—
1221	C₄²	—	13	4	no	—
1222	C₄²	—	13	4	no	—
1223	C₄²	—	13	4	no	—
1224	C₄²	—	13	4	no	—
1225	C₄²	—	13	4	no	—
1226	C₄²	—	52	1	no	—
1227	C₄²	—	52	1	no	—
1228	C₄²	—	52	1	no	—
1229	C₄²	—	52	1	no	—
1230	C₄²	—	52	1	no	—
1231	C₄²	—	52	1	no	—
1232	C₄²	—	52	1	no	—
1233	C₄²	—	52	1	no	—
1234	C₄²	—	52	1	no	—
1235	C₄²	—	52	1	no	—
1236	C₄²	—	52	1	no	—
1237	C₄²	—	52	1	no	—
1238	C₄²	—	52	1	no	—
1239	C₄²	—	52	1	no	—
1240	C₄²	—	52	1	no	—
1241	C₁₃	#34385	1	1	yes	characteristic, complemented, Sylow
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	13	2	no	—
1255	C₂³	—	26	1	no	—
1256	C₂³	—	26	1	no	—
1257	C₂³	—	26	1	no	—
1258	C₂³	—	26	1	no	—
1259	C₂³	—	26	1	no	—
1260	C₂³	—	26	1	no	—
1261	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1262	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1263	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1264	Q₈	—	52	4	no	—
1265	D₄	—	4	4	no	—
1266	D₄	—	52	4	no	—
1267	D₄	—	52	4	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	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	8	2	no	—
1304	C₂×C₄	—	13	2	no	—
1305	C₂×C₄	—	13	2	no	—
1306	C₂×C₄	—	13	2	no	—
1307	C₂×C₄	—	13	2	no	—
1308	C₂×C₄	—	13	2	no	—
1309	C₂×C₄	—	13	2	no	—
1310	C₂×C₄	—	13	2	no	—
1311	C₂×C₄	—	13	2	no	—
1312	C₂×C₄	—	13	2	no	—
1313	C₂×C₄	—	26	8	no	—
1314	C₂×C₄	—	26	8	no	—
1315	C₂×C₄	—	26	8	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	—	26	1	no	—
1333	C₂×C₄	—	26	1	no	—
1334	C₂×C₄	—	26	1	no	—
1335	C₂×C₄	—	26	1	no	—
1336	C₂×C₄	—	26	1	no	—
1337	C₂×C₄	—	26	1	no	—
1338	C₂×C₄	—	26	1	no	—
1339	C₂×C₄	—	26	1	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	52	4	no	—
1353	C₂×C₄	—	104	2	no	—
1354	C₂×C₄	—	104	2	no	—
1355	C₂×C₄	—	104	2	no	—
1356	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1357	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1358	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1359	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1360	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	26	2	no	—
1376	C₂²	—	26	2	no	—
1377	C₂²	—	26	2	no	—
1378	C₂²	—	52	1	no	—
1379	C₂²	—	52	1	no	—
1380	C₂²	—	52	1	no	—
1381	C₂²	—	52	1	no	—
1382	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1383	C₂²	#11719648	1	1	yes	characteristic
1384	C₂²	#11719648	1	1	yes	characteristic
1385	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1386	C₂²	#11719650	1	1	yes	characteristic
1387	C₂²	#11719650	1	1	yes	characteristic
1388	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	4	1	no	—
1396	C₄	—	4	1	no	—
1397	C₄	—	4	1	no	—
1398	C₄	—	4	1	no	—
1399	C₄	—	4	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	13	4	no	—
1403	C₄	—	26	2	no	—
1404	C₄	—	26	2	no	—
1405	C₄	—	26	2	no	—
1406	C₄	—	26	2	no	—
1407	C₄	—	26	2	no	—
1408	C₄	—	26	2	no	—
1409	C₄	—	52	1	no	—
1410	C₄	—	52	1	no	—
1411	C₄	—	52	1	no	—
1412	C₄	—	52	1	no	—
1413	C₄	—	52	1	no	—
1414	C₄	—	52	1	no	—
1415	C₄	—	52	1	no	—
1416	C₄	—	52	1	no	—
1417	C₂	—	4	2	no	—
1418	C₂	—	4	2	no	—
1419	C₂	—	52	2	no	—
1420	C₂	D₁₃×#520	1	1	yes	characteristic
1421	C₂	#13128034	1	1	yes	characteristic
1422	C₂	#13128035	1	1	yes	characteristic
1423	C₂	#13129415	1	1	yes	characteristic
1424	C₂	#13129423	1	1	yes	characteristic
1425	C₂	#13129472	1	1	yes	characteristic
1426	C₂	#13129480	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2335	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#88193	C₂²
hypercenter	#2335	D₁₃
hypocenter	C₁₃	#34385
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2335

Complements

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

N	H ≅ G/N	type
2. #13118003	C₂	semidirect
3. #13117996	C₂	semidirect
6. #13117961	C₂	semidirect
7. #13117957	C₂	semidirect
8. #13117953	C₂	semidirect
9. #13117949	C₂	semidirect
10. #13117790	C₂	semidirect
11. #13117789	C₂	semidirect
12. #13117784	C₂	semidirect
13. #13117782	C₂	semidirect
14. #13117764	C₂	semidirect
15. #13117764	C₂	semidirect
16. #13117763	C₂	semidirect
17. #13117759	C₂	semidirect
18. #13117650	C₂	semidirect
19. #13117643	C₂	semidirect
20. #13117641	C₂	semidirect
21. #13117634	C₂	semidirect
22. #13117630	C₂	semidirect
23. #13117626	C₂	semidirect
24. #13117622	C₂	semidirect
25. #13117458	C₂	semidirect
26. #13117455	C₂	semidirect
27. #13117442	C₂	semidirect
28. #13117440	C₂	semidirect
29. #13117238	C₂	semidirect
30. #13117230	C₂	semidirect
31. C₁₃×#2335	C₂	semidirect
38. #11719354	C₄	semidirect
201. C₁₃×#123	C₂×C₄	semidirect
235. D₄×Dic₁₃	C₂×C₄	semidirect
236. #88183	C₂×C₄	semidirect
279. C₂×C₄×Dic₁₃	C₂×C₄	semidirect
301. #88152	C₂×C₄	semidirect
302. #88146	C₂×C₄	semidirect
304. #88143	C₂×C₄	semidirect
305. #88141	C₂×C₄	semidirect
308. #88135	C₂×C₄	semidirect
309. #88133	C₂×C₄	semidirect
310. #88132	C₂×C₄	semidirect
314. #88131	C₂×C₄	semidirect
553. #2335	D₁₃	semidirect
909. #123	C₄×D₁₃	semidirect
1241. C₁₃	#34385	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719354	2
#13118003	2
#13117996	2
#13117994	2
#13117987	2
#13117961	2
#13117957	2
#13117953	2
#13117949	2
#13117790	2
#13117789	2
#13117784	2
#13117782	2
#13117764	2
#13117763	2
#13117759	2
#13117650	2
#13117643	2
#13117641	2
#13117634	2
#13117630	2
#13117626	2
#13117622	2
#13117458	2
#13117455	2
#13117442	2
#13117440	2
#13117238	2
#13117230	2
C₁₃×#2335	2
#34385	13