Subgroups — #16026333

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719530	C₂	1	1	yes	maximal, characteristic
2	#13118015	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118006	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118004	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117999	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117945	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117924	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117919	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117916	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117834	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117834	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117822	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117822	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117698	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117692	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117666	C₂	1	1	yes	maximal, characteristic
17	#13117645	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117645	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117592	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117589	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117579	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117579	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117569	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117566	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117510	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117501	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117421	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117361	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88189	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718307	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2339	C₂	1	1	yes	maximal, characteristic
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂³×Dic₂₆	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	#11719530	C₄	1	16	yes	complemented
37	C₂×#88198	C₂²	1	1	yes	characteristic
38	C₂×#88198	C₂²	1	1	yes	characteristic
39	C₂×#88190	C₂²	1	1	yes	characteristic
40	C₂×#88190	C₂²	1	1	yes	characteristic
41	C₂×#88189	C₂²	1	1	yes	characteristic
42	C₂×#88189	C₂²	1	1	yes	characteristic
43	C₂×#88189	C₂²	1	1	yes	characteristic
44	C₂×#88189	C₂²	1	1	yes	characteristic
45	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
46	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
47	C₂×#88180	C₂²	1	1	yes	characteristic
48	C₂×#88178	C₂²	1	1	yes	characteristic
49	C₂×#88178	C₂²	1	1	yes	characteristic
50	C₂×#88178	C₂²	1	1	yes	characteristic
51	C₂×#88178	C₂²	1	1	yes	characteristic
52	C₂²×#6101	C₂²	1	1	yes	characteristic
53	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
54	C₂×#88131	C₂²	1	1	yes	characteristic
55	C₂×#88131	C₂²	1	1	yes	characteristic
56	C₁₃×#391	C₂²	1	1	yes	characteristic
57	C₁₃×#391	C₂²	1	1	yes	characteristic
58	C₁₃×#386	C₂²	1	1	yes	characteristic
59	C₁₃×#386	C₂²	1	1	yes	characteristic
60	C₁₃×#386	C₂²	1	1	yes	characteristic
61	C₁₃×#386	C₂²	1	1	yes	characteristic
62	C₁₃×#381	C₂²	1	1	yes	characteristic
63	C₁₃×#381	C₂²	1	1	yes	characteristic
64	C₁₃×#380	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
68	#11718891	C₂²	1	1	yes	characteristic
69	#11718891	C₂²	1	1	yes	characteristic
70	#11718881	C₂²	1	1	yes	characteristic
71	#11718881	C₂²	1	1	yes	characteristic
72	#11718881	C₂²	1	1	yes	characteristic
73	#11718881	C₂²	1	1	yes	characteristic
74	#11718873	C₂²	1	1	yes	characteristic
75	#11718872	C₂²	1	1	yes	characteristic
76	#11718872	C₂²	1	1	yes	characteristic
77	#11718871	C₂²	1	1	yes	characteristic
78	#11718871	C₂²	1	1	yes	characteristic
79	#11718871	C₂²	1	1	yes	characteristic
80	#11718871	C₂²	1	1	yes	characteristic
81	#11718871	C₂²	1	1	yes	characteristic
82	#11718871	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
85	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
86	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
87	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
89	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
90	C₂×#88071	C₂²	1	1	yes	characteristic
91	C₂×#88071	C₂²	1	1	yes	characteristic
92	C₂×#88071	C₂²	1	1	yes	characteristic
93	C₂×#88071	C₂²	1	1	yes	characteristic
94	#11718639	C₂²	1	1	yes	characteristic
95	#11718639	C₂²	1	1	yes	characteristic
96	#11718639	C₂²	1	1	yes	characteristic
97	#11718639	C₂²	1	1	yes	characteristic
98	#11718633	C₂²	1	1	yes	characteristic
99	#11718633	C₂²	1	1	yes	characteristic
100	#11718633	C₂²	1	1	yes	characteristic
101	#11718633	C₂²	1	1	yes	characteristic
102	#11718607	C₂²	1	1	yes	characteristic
103	#11718607	C₂²	1	1	yes	characteristic
104	#11718607	C₂²	1	1	yes	characteristic
105	#11718607	C₂²	1	1	yes	characteristic
106	#11718607	C₂²	1	1	yes	characteristic
107	#11718607	C₂²	1	1	yes	characteristic
108	#11718606	C₂²	1	1	yes	characteristic
109	#11718606	C₂²	1	1	yes	characteristic
110	#11718606	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	#11718606	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	#11718605	C₂²	1	1	yes	characteristic
120	#11718605	C₂²	1	1	yes	characteristic
121	#11718605	C₂²	1	1	yes	characteristic
122	#11718605	C₂²	1	1	yes	characteristic
123	#11718605	C₂²	1	1	yes	characteristic
124	#11718604	C₂²	1	1	yes	characteristic
125	#11718604	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
128	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
129	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
130	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
131	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
132	#11718594	C₂²	1	1	yes	characteristic
133	#11718594	C₂²	1	1	yes	characteristic
134	#11718594	C₂²	1	1	yes	characteristic
135	#11718594	C₂²	1	1	yes	characteristic
136	C₄×#6101	C₂²	1	1	yes	characteristic
137	C₄×#6101	C₂²	1	1	yes	characteristic
138	C₄×#6101	C₂²	1	1	yes	characteristic
139	C₄×#6101	C₂²	1	1	yes	characteristic
140	#11718316	C₂²	1	1	yes	characteristic
141	#11718316	C₂²	1	1	yes	characteristic
142	#11718316	C₂²	1	1	yes	characteristic
143	#11718316	C₂²	1	1	yes	characteristic
144	#11718315	C₂²	1	1	yes	characteristic
145	#11718315	C₂²	1	1	yes	characteristic
146	#11718315	C₂²	1	1	yes	characteristic
147	#11718315	C₂²	1	1	yes	characteristic
148	#11718314	C₂²	1	1	yes	characteristic
149	#11718314	C₂²	1	1	yes	characteristic
150	#11718314	C₂²	1	1	yes	characteristic
151	#11718314	C₂²	1	1	yes	characteristic
152	#11718313	C₂²	1	1	yes	characteristic
153	#11718313	C₂²	1	1	yes	characteristic
154	#11718313	C₂²	1	1	yes	characteristic
155	#11718313	C₂²	1	1	yes	characteristic
156	#11718312	C₂²	1	1	yes	characteristic
157	#11718312	C₂²	1	1	yes	characteristic
158	#11718311	C₂²	1	1	yes	characteristic
159	#11718311	C₂²	1	1	yes	characteristic
160	#11718310	C₂²	1	1	yes	characteristic
161	#11718310	C₂²	1	1	yes	characteristic
162	#11718310	C₂²	1	1	yes	characteristic
163	#11718310	C₂²	1	1	yes	characteristic
164	#11718310	C₂²	1	1	yes	characteristic
165	#11718310	C₂²	1	1	yes	characteristic
166	#11718309	C₂²	1	1	yes	characteristic
167	#11718309	C₂²	1	1	yes	characteristic
168	#11718308	C₂²	1	1	yes	characteristic
169	#11718308	C₂²	1	1	yes	characteristic
170	#11718308	C₂²	1	1	yes	characteristic
171	#11718308	C₂²	1	1	yes	characteristic
172	#11718307	C₂²	1	1	yes	characteristic
173	#11718307	C₂²	1	1	yes	characteristic
174	#11718307	C₂²	1	1	yes	characteristic
175	#11718307	C₂²	1	1	yes	characteristic
176	#11718307	C₂²	1	1	yes	characteristic
177	#11718307	C₂²	1	1	yes	characteristic
178	#11718307	C₂²	1	1	yes	characteristic
179	#11718307	C₂²	1	1	yes	characteristic
180	#11718307	C₂²	1	1	yes	characteristic
181	#11718307	C₂²	1	1	yes	characteristic
182	#11718307	C₂²	1	1	yes	characteristic
183	#11718307	C₂²	1	1	yes	characteristic
184	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂×C₁₃×#41	—	4	2	no	—
189	C₂×C₁₃×#41	—	4	2	no	—
190	C₂×C₁₃×#41	C₂×C₄	1	8	yes	—
191	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
206	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
207	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Dic₂₆	—	4	2	no	—
209	C₂²×Dic₂₆	—	4	2	no	—
210	C₂²×Dic₂₆	C₂×C₄	1	8	yes	complemented
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	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₄×D₄×C₁₃	—	4	2	no	—
216	C₄×D₄×C₁₃	—	4	2	no	—
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	#88198	C₂×C₄	1	8	yes	complemented
248	#88198	C₂×C₄	1	8	yes	complemented
249	#88190	C₂×C₄	1	8	yes	complemented
250	#88190	C₂×C₄	1	8	yes	complemented
251	#88189	C₂×C₄	1	8	yes	complemented
252	#88189	C₂×C₄	1	8	yes	complemented
253	#88189	C₂×C₄	1	8	yes	complemented
254	#88189	C₂×C₄	1	8	yes	complemented
255	D₄×Dic₁₃	—	4	2	no	—
256	D₄×Dic₁₃	—	4	2	no	—
257	#88180	C₂×C₄	1	8	yes	complemented
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	#88178	C₂×C₄	1	8	yes	complemented
263	#88178	C₂×C₄	1	8	yes	complemented
264	#88178	C₂×C₄	1	8	yes	complemented
265	#88178	C₂×C₄	1	8	yes	complemented
266	C₂×#6101	—	4	2	no	—
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#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×C₄×Dic₁₃	—	4	2	no	—
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	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	#88131	—	4	2	no	—
313	#88131	—	4	2	no	—
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	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	#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	#34409	—	13	1	no	maximal, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₁₃×#41	—	4	16	no	—
375	C₂×Q₈×C₁₃	—	4	1	no	—
376	C₂×Q₈×C₁₃	—	4	1	no	—
377	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	2	2	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
385	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
386	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	—	4	1	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	—	4	1	no	—
397	C₂²×C₄×C₁₃	—	4	1	no	—
398	C₂²×C₄×C₁₃	—	4	1	no	—
399	C₂²×C₄×C₁₃	—	4	1	no	—
400	C₂²×C₄×C₁₃	—	4	1	no	—
401	C₂²×C₄×C₁₃	—	4	1	no	—
402	C₂²×C₄×C₁₃	—	4	1	no	—
403	C₂²×C₄×C₁₃	—	4	1	no	—
404	C₂²×C₄×C₁₃	—	4	1	no	—
405	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
406	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
407	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
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×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	2	2	no	—
422	C₂²×Dic₁₃	—	2	2	no	—
423	C₂²×Dic₁₃	—	2	2	no	—
424	C₂²×Dic₁₃	—	2	2	no	—
425	C₂²×Dic₁₃	—	2	2	no	—
426	C₂²×Dic₁₃	—	2	2	no	—
427	C₂²×Dic₁₃	—	2	2	no	—
428	C₂²×Dic₁₃	—	4	1	no	—
429	C₂²×Dic₁₃	—	4	1	no	—
430	C₂²×Dic₁₃	—	4	1	no	—
431	C₂²×Dic₁₃	—	4	1	no	—
432	C₂²×Dic₁₃	—	4	1	no	—
433	C₂²×Dic₁₃	—	4	1	no	—
434	C₂²×Dic₁₃	—	4	1	no	—
435	C₂²×Dic₁₃	—	4	1	no	—
436	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
437	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
454	C₂×Dic₂₆	—	4	16	no	—
455	C₂×Dic₂₆	—	4	1	no	—
456	C₂×Dic₂₆	—	4	1	no	—
457	C₂×Dic₂₆	—	4	1	no	—
458	C₂×Dic₂₆	—	4	1	no	—
459	C₂×Dic₂₆	—	4	1	no	—
460	C₂×Dic₂₆	—	4	1	no	—
461	C₂×Dic₂₆	—	4	1	no	—
462	C₂×Dic₂₆	—	4	1	no	—
463	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
464	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
465	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
466	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
467	C₁₃×C₄⋊C₄	—	4	1	no	—
468	C₁₃×C₄⋊C₄	—	4	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	4	1	no	—
473	C₁₃×C₂²⋊C₄	—	4	1	no	—
474	C₁₃×C₂²⋊C₄	—	4	1	no	—
475	C₁₃×C₂²⋊C₄	—	4	1	no	—
476	C₁₃×C₂²⋊C₄	—	4	1	no	—
477	C₄²×C₁₃	—	4	1	no	—
478	C₄²×C₁₃	—	4	1	no	—
479	C₂²⋊Dic₁₃	—	2	2	no	—
480	C₂²⋊Dic₁₃	—	2	2	no	—
481	C₂²⋊Dic₁₃	—	2	2	no	—
482	C₂²⋊Dic₁₃	—	4	1	no	—
483	C₂²⋊Dic₁₃	—	4	1	no	—
484	C₂²⋊Dic₁₃	—	4	1	no	—
485	C₂²⋊Dic₁₃	—	4	1	no	—
486	C₂²⋊Dic₁₃	—	4	1	no	—
487	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
488	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
489	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
490	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
491	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
492	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
493	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
494	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
495	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
496	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
497	C₄⋊Dic₁₃	—	4	1	no	—
498	C₄⋊Dic₁₃	—	4	1	no	—
499	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
500	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
501	#6101	—	2	2	no	—
502	#6101	—	2	2	no	—
503	#6101	—	4	1	no	—
504	#6101	—	4	1	no	—
505	#6101	—	4	1	no	—
506	#6101	—	4	1	no	—
507	#6101	—	4	1	no	—
508	#6101	—	4	1	no	—
509	#6101	—	4	1	no	—
510	#6101	—	4	1	no	—
511	#6101	—	4	1	no	—
512	#6101	—	4	1	no	—
513	#6101	—	4	1	no	—
514	#6101	—	4	1	no	—
515	#6101	—	4	1	no	—
516	#6101	—	4	1	no	—
517	#6101	C₂²×C₄	1	4	yes	—
518	#6101	C₂²×C₄	1	4	yes	—
519	#6101	C₂²×C₄	1	4	yes	—
520	#6101	C₂²×C₄	1	4	yes	—
521	#6101	C₂²×C₄	1	4	yes	—
522	#6101	C₂²×C₄	1	4	yes	—
523	#6101	C₂²×C₄	1	4	yes	—
524	#6101	C₂²×C₄	1	4	yes	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	4	1	no	—
528	C₄×Dic₁₃	—	4	1	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	C₄×Dic₁₃	—	4	1	no	—
531	C₄×Dic₁₃	—	4	1	no	—
532	C₄×Dic₁₃	—	4	1	no	—
533	C₄×Dic₁₃	—	4	1	no	—
534	C₄×Dic₁₃	—	4	1	no	—
535	C₄×Dic₁₃	—	4	1	no	—
536	C₄×Dic₁₃	—	4	1	no	—
537	C₄×Dic₁₃	—	4	1	no	—
538	C₄×Dic₁₃	—	4	1	no	—
539	C₄×Dic₁₃	—	4	1	no	—
540	C₄×Dic₁₃	—	4	1	no	—
541	C₄×Dic₁₃	—	4	1	no	—
542	C₄×Dic₁₃	—	4	1	no	—
543	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
544	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
545	C₂×#536	—	13	1	no	—
546	#2381	—	13	1	no	—
547	#2379	—	13	1	no	—
548	#2378	—	13	1	no	—
549	#2378	—	13	1	no	—
550	#2372	—	13	1	no	—
551	#2369	—	13	1	no	—
552	#2368	—	13	1	no	—
553	#2368	—	13	1	no	—
554	#2359	—	13	1	no	—
555	#2359	—	13	1	no	—
556	#2359	—	13	1	no	—
557	#2359	—	13	1	no	—
558	#2343	—	13	1	no	—
559	#2343	—	13	1	no	—
560	#2339	—	13	1	no	—
561	#2339	D₁₃	1	1	yes	characteristic
562	#2337	—	13	1	no	—
563	#2337	—	13	1	no	—
564	#2332	—	13	1	no	—
565	#2332	—	13	1	no	—
566	#2331	—	13	1	no	—
567	#2331	—	13	1	no	—
568	#2329	—	13	1	no	—
569	#2329	—	13	1	no	—
570	#2322	—	13	1	no	—
571	#2322	—	13	1	no	—
572	#2310	—	13	1	no	—
573	C₄×#123	—	13	1	no	—
574	C₄×#123	—	13	1	no	—
575	C₂×#391	—	13	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
593	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
594	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
595	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
596	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
597	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
598	Q₈×C₁₃	—	4	4	no	—
599	D₄×C₁₃	—	2	8	no	—
600	D₄×C₁₃	—	2	8	no	—
601	D₄×C₁₃	—	4	4	no	—
602	C₂×C₄×C₁₃	—	2	8	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	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	4	4	no	—
635	C₂×C₄×C₁₃	—	4	4	no	—
636	C₂×C₄×C₁₃	—	4	4	no	—
637	C₂×C₄×C₁₃	—	8	2	no	—
638	C₂×C₄×C₁₃	—	8	2	no	—
639	C₂×C₄×C₁₃	—	8	2	no	—
640	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
642	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
643	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
644	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
645	C₂×Dic₁₃	—	2	8	no	—
646	C₂×Dic₁₃	—	2	8	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	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	4	4	no	—
687	C₂×Dic₁₃	—	8	2	no	—
688	C₂×Dic₁₃	—	8	2	no	—
689	C₂×Dic₁₃	—	8	2	no	—
690	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
691	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
692	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
693	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
694	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
695	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
696	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
697	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
698	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
699	Dic₂₆	—	4	4	no	—
700	Dic₂₆	—	4	4	no	—
701	Dic₂₆	—	4	4	no	—
702	Dic₂₆	—	4	4	no	—
703	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
704	C₂³×Q₈	—	13	1	no	—
705	#536	—	13	16	no	—
706	C₂×C₄⋊Q₈	—	13	1	no	—
707	C₂×C₄⋊Q₈	—	13	1	no	—
708	C₂×#124	—	13	1	no	—
709	C₂×#124	—	13	1	no	—
710	C₂×#123	—	13	1	no	—
711	C₂×#123	—	13	1	no	—
712	C₂×#123	—	13	1	no	—
713	C₂×#123	—	13	1	no	—
714	C₂×C₂²⋊Q₈	—	13	1	no	—
715	C₂×C₂²⋊Q₈	—	13	1	no	—
716	C₂×C₂²⋊Q₈	—	13	1	no	—
717	C₂×C₂²⋊Q₈	—	13	1	no	—
718	C₂×C₄×D₄	—	13	1	no	—
719	C₂×C₄×D₄	—	13	1	no	—
720	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
721	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
722	C₂×#117	—	13	1	no	—
723	C₂×#117	—	13	1	no	—
724	C₂×#117	—	13	1	no	—
725	C₂²×C₄⋊C₄	—	13	1	no	—
726	C₂²×C₄²	—	13	1	no	—
727	#391	—	13	1	no	—
728	#391	—	13	1	no	—
729	#391	—	13	1	no	—
730	#391	—	13	1	no	—
731	#391	—	13	1	no	—
732	#391	—	13	1	no	—
733	#391	—	13	1	no	—
734	#391	—	13	1	no	—
735	#391	—	13	1	no	—
736	#391	—	13	1	no	—
737	#391	—	13	1	no	—
738	#391	—	13	1	no	—
739	#391	—	13	1	no	—
740	#391	—	13	1	no	—
741	#391	—	13	1	no	—
742	#391	—	13	1	no	—
743	#391	—	13	1	no	—
744	#391	—	13	1	no	—
745	#391	C₂×D₁₃	1	1	yes	characteristic
746	#391	C₂×D₁₃	1	1	yes	characteristic
747	#389	—	13	1	no	—
748	#389	—	13	1	no	—
749	#389	—	13	1	no	—
750	#389	—	13	1	no	—
751	#389	—	13	1	no	—
752	#389	—	13	1	no	—
753	#389	—	13	1	no	—
754	#389	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
760	#388	—	13	1	no	—
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	—	13	1	no	—
768	#388	—	13	1	no	—
769	#388	—	13	1	no	—
770	#388	—	13	1	no	—
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
784	#387	—	13	1	no	—
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#386	—	13	1	no	—
796	#386	—	13	1	no	—
797	#386	—	13	1	no	—
798	#386	—	13	1	no	—
799	#386	C₂×D₁₃	1	1	yes	characteristic
800	#386	C₂×D₁₃	1	1	yes	characteristic
801	#386	C₂×D₁₃	1	1	yes	characteristic
802	#386	C₂×D₁₃	1	1	yes	characteristic
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
808	#385	—	13	1	no	—
809	#385	—	13	1	no	—
810	#385	—	13	1	no	—
811	#385	—	13	1	no	—
812	#385	—	13	1	no	—
813	#385	—	13	1	no	—
814	#385	—	13	1	no	—
815	#383	—	13	1	no	—
816	#383	—	13	1	no	—
817	#382	—	13	1	no	—
818	#382	—	13	1	no	—
819	#381	—	13	1	no	—
820	#381	—	13	1	no	—
821	#381	—	13	1	no	—
822	#381	—	13	1	no	—
823	#381	C₂×D₁₃	1	1	yes	characteristic
824	#381	C₂×D₁₃	1	1	yes	characteristic
825	#380	—	13	1	no	—
826	#380	C₂×D₁₃	1	1	yes	characteristic
827	C₄×C₄⋊C₄	—	13	1	no	—
828	C₄×C₄⋊C₄	—	13	1	no	—
829	C₄×C₄⋊C₄	—	13	1	no	—
830	C₄×C₄⋊C₄	—	13	1	no	—
831	C₄×C₄⋊C₄	—	13	1	no	—
832	C₄×C₄⋊C₄	—	13	1	no	—
833	C₄×C₄⋊C₄	—	13	1	no	—
834	C₄×C₄⋊C₄	—	13	1	no	—
835	C₄×C₄⋊C₄	—	13	1	no	—
836	C₄×C₄⋊C₄	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₄×C₂²⋊C₄	—	13	1	no	—
846	C₄×C₂²⋊C₄	—	13	1	no	—
847	C₄×C₂²⋊C₄	—	13	1	no	—
848	C₄×C₂²⋊C₄	—	13	1	no	—
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
851	#376	—	13	1	no	—
852	#376	—	13	1	no	—
853	C₂×#95	—	13	1	no	—
854	C₂×#95	—	13	1	no	—
855	C₂×#95	—	13	1	no	—
856	C₂×#95	—	13	1	no	—
857	C₂×#95	C₂×D₁₃	1	1	yes	characteristic
858	C₂×#95	C₂×D₁₃	1	1	yes	characteristic
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	2	2	no	—
863	C₂²×C₁₃	—	2	2	no	—
864	C₂²×C₁₃	—	2	2	no	—
865	C₂²×C₁₃	—	2	2	no	—
866	C₂²×C₁₃	—	2	2	no	—
867	C₂²×C₁₃	—	2	2	no	—
868	C₂²×C₁₃	—	2	2	no	—
869	C₂²×C₁₃	—	2	2	no	—
870	C₂²×C₁₃	—	2	2	no	—
871	C₂²×C₁₃	—	4	1	no	—
872	C₂²×C₁₃	—	4	1	no	—
873	C₂²×C₁₃	—	4	1	no	—
874	C₂²×C₁₃	—	4	1	no	—
875	C₂²×C₁₃	—	4	1	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	—	4	1	no	—
878	C₂²×C₁₃	—	4	1	no	—
879	C₂²×C₁₃	#518	1	4	yes	—
880	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
881	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
882	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
883	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
884	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
885	C₂²×C₁₃	#585	1	1	yes	characteristic
886	C₂²×C₁₃	#585	1	1	yes	characteristic
887	C₄×C₁₃	—	2	2	no	—
888	C₄×C₁₃	—	2	2	no	—
889	C₄×C₁₃	—	2	2	no	—
890	C₄×C₁₃	—	2	2	no	—
891	C₄×C₁₃	—	2	2	no	—
892	C₄×C₁₃	—	4	1	no	—
893	C₄×C₁₃	—	4	1	no	—
894	C₄×C₁₃	—	4	1	no	—
895	C₄×C₁₃	—	4	1	no	—
896	C₄×C₁₃	—	4	1	no	—
897	C₄×C₁₃	—	4	1	no	—
898	C₄×C₁₃	—	4	1	no	—
899	Dic₁₃	—	2	2	no	—
900	Dic₁₃	—	2	2	no	—
901	Dic₁₃	—	2	2	no	—
902	Dic₁₃	—	2	2	no	—
903	Dic₁₃	—	2	2	no	—
904	Dic₁₃	—	2	2	no	—
905	Dic₁₃	—	2	2	no	—
906	Dic₁₃	—	2	2	no	—
907	Dic₁₃	—	2	2	no	—
908	Dic₁₃	—	4	1	no	—
909	Dic₁₃	—	4	1	no	—
910	Dic₁₃	—	4	1	no	—
911	Dic₁₃	—	4	1	no	—
912	Dic₁₃	—	4	1	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	C₂×#41	—	4	2	no	—
916	C₂×#41	—	4	2	no	—
917	C₂×#41	C₄×D₁₃	1	8	yes	—
918	C₂²×Q₈	—	13	8	no	—
919	C₂²×Q₈	—	13	1	no	—
920	C₂²×Q₈	—	13	1	no	—
921	C₂²×Q₈	—	13	1	no	—
922	C₂²×Q₈	—	13	1	no	—
923	C₂²×Q₈	—	52	2	no	—
924	C₂²×Q₈	—	52	2	no	—
925	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
926	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
927	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
928	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
929	C₂³×C₄	—	13	1	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	13	1	no	—
934	C₂³×C₄	—	13	1	no	—
935	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
936	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₄⋊Q₈	—	13	8	no	—
943	C₄⋊Q₈	—	13	8	no	—
944	#124	—	13	8	no	—
945	#124	—	13	8	no	—
946	#123	—	13	8	no	—
947	#123	—	13	8	no	—
948	#123	—	13	8	no	—
949	#123	—	13	8	no	—
950	C₂²⋊Q₈	—	13	8	no	—
951	C₂²⋊Q₈	—	13	8	no	—
952	C₂²⋊Q₈	—	13	8	no	—
953	C₂²⋊Q₈	—	13	8	no	—
954	C₄×D₄	—	4	2	no	—
955	C₄×D₄	—	4	2	no	—
956	C₄×D₄	—	52	2	no	—
957	C₄×D₄	—	52	2	no	—
958	#117	—	13	8	no	—
959	#117	—	52	2	no	—
960	#117	—	52	2	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	13	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	52	2	no	—
990	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄²	—	13	1	no	—
1019	C₂×C₄²	—	13	1	no	—
1020	C₂×C₄²	—	13	1	no	—
1021	C₂×C₄²	—	13	1	no	—
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	52	2	no	—
1039	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	C₂²×D₁₃	1	1	yes	characteristic
1086	#95	C₂²×D₁₃	1	1	yes	characteristic
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	#95	C₂²×D₁₃	1	1	yes	characteristic
1090	#95	C₂²×D₁₃	1	1	yes	characteristic
1091	#95	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	#95	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₁₃	—	2	4	no	—
1098	C₂×C₁₃	—	4	2	no	—
1099	C₂×C₁₃	—	4	2	no	—
1100	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
1101	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1102	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1103	C₂×C₁₃	#3535	1	1	yes	characteristic
1104	C₂×C₁₃	#3535	1	1	yes	characteristic
1105	C₂×C₁₃	#3544	1	1	yes	characteristic
1106	C₂×C₁₃	#3545	1	1	yes	characteristic
1107	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1108	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1109	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1110	#41	—	4	16	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×Q₈	—	4	1	no	—
1113	C₂×Q₈	—	13	4	no	—
1114	C₂×Q₈	—	13	4	no	—
1115	C₂×Q₈	—	13	4	no	—
1116	C₂×Q₈	—	13	4	no	—
1117	C₂×Q₈	—	52	16	no	—
1118	C₂×Q₈	—	52	1	no	—
1119	C₂×Q₈	—	52	1	no	—
1120	C₂×Q₈	—	52	1	no	—
1121	C₂×Q₈	—	52	1	no	—
1122	C₂×Q₈	—	52	1	no	—
1123	C₂×Q₈	—	52	1	no	—
1124	C₂×Q₈	—	52	1	no	—
1125	C₂×Q₈	—	52	1	no	—
1126	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	2	2	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1134	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1135	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	13	4	no	—
1155	C₂²×C₄	—	13	4	no	—
1156	C₂²×C₄	—	13	1	no	—
1157	C₂²×C₄	—	13	1	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	1	no	—
1162	C₂²×C₄	—	13	1	no	—
1163	C₂²×C₄	—	13	1	no	—
1164	C₂²×C₄	—	13	1	no	—
1165	C₂²×C₄	—	13	1	no	—
1166	C₂²×C₄	—	13	1	no	—
1167	C₂²×C₄	—	13	1	no	—
1168	C₂²×C₄	—	13	1	no	—
1169	C₂²×C₄	—	13	1	no	—
1170	C₂²×C₄	—	13	1	no	—
1171	C₂²×C₄	—	13	1	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	—	26	2	no	—
1179	C₂²×C₄	—	26	2	no	—
1180	C₂²×C₄	—	52	1	no	—
1181	C₂²×C₄	—	52	1	no	—
1182	C₂²×C₄	—	52	1	no	—
1183	C₂²×C₄	—	52	1	no	—
1184	C₂²×C₄	—	52	1	no	—
1185	C₂²×C₄	—	52	1	no	—
1186	C₂²×C₄	—	52	1	no	—
1187	C₂²×C₄	—	52	1	no	—
1188	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1189	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1190	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	13	4	no	—
1206	C₄⋊C₄	—	13	4	no	—
1207	C₄⋊C₄	—	13	4	no	—
1208	C₄⋊C₄	—	13	4	no	—
1209	C₄⋊C₄	—	13	4	no	—
1210	C₄⋊C₄	—	13	4	no	—
1211	C₄⋊C₄	—	13	4	no	—
1212	C₄⋊C₄	—	13	4	no	—
1213	C₄⋊C₄	—	13	4	no	—
1214	C₄⋊C₄	—	13	4	no	—
1215	C₄⋊C₄	—	26	2	no	—
1216	C₄⋊C₄	—	26	2	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₄⋊C₄	—	52	1	no	—
1220	C₄⋊C₄	—	52	1	no	—
1221	C₄⋊C₄	—	52	1	no	—
1222	C₄⋊C₄	—	52	1	no	—
1223	C₄⋊C₄	—	52	1	no	—
1224	C₄⋊C₄	—	52	1	no	—
1225	C₄⋊C₄	—	52	1	no	—
1226	C₄⋊C₄	—	52	1	no	—
1227	C₄⋊C₄	—	52	1	no	—
1228	C₄⋊C₄	—	52	1	no	—
1229	C₄⋊C₄	—	52	1	no	—
1230	C₄⋊C₄	—	52	1	no	—
1231	C₄⋊C₄	—	52	1	no	—
1232	C₄⋊C₄	—	52	1	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	13	4	no	—
1242	C₂²⋊C₄	—	13	4	no	—
1243	C₂²⋊C₄	—	13	4	no	—
1244	C₂²⋊C₄	—	13	4	no	—
1245	C₂²⋊C₄	—	13	4	no	—
1246	C₂²⋊C₄	—	13	4	no	—
1247	C₂²⋊C₄	—	13	4	no	—
1248	C₂²⋊C₄	—	13	4	no	—
1249	C₂²⋊C₄	—	13	4	no	—
1250	C₂²⋊C₄	—	13	4	no	—
1251	C₂²⋊C₄	—	26	2	no	—
1252	C₂²⋊C₄	—	26	2	no	—
1253	C₂²⋊C₄	—	26	2	no	—
1254	C₂²⋊C₄	—	52	1	no	—
1255	C₂²⋊C₄	—	52	1	no	—
1256	C₂²⋊C₄	—	52	1	no	—
1257	C₂²⋊C₄	—	52	1	no	—
1258	C₂²⋊C₄	—	52	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	4	1	no	—
1261	C₄²	—	13	4	no	—
1262	C₄²	—	13	4	no	—
1263	C₄²	—	26	2	no	—
1264	C₄²	—	26	2	no	—
1265	C₄²	—	52	1	no	—
1266	C₄²	—	52	1	no	—
1267	C₄²	—	52	1	no	—
1268	C₄²	—	52	1	no	—
1269	C₄²	—	52	1	no	—
1270	C₄²	—	52	1	no	—
1271	C₄²	—	52	1	no	—
1272	C₄²	—	52	1	no	—
1273	C₄²	—	52	1	no	—
1274	C₄²	—	52	1	no	—
1275	C₄²	—	52	1	no	—
1276	C₄²	—	52	1	no	—
1277	C₄²	—	52	1	no	—
1278	C₄²	—	52	1	no	—
1279	C₄²	—	52	1	no	—
1280	C₄²	—	52	1	no	—
1281	C₁₃	#34409	1	1	yes	characteristic, complemented, Sylow
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1299	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1300	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1301	C₂³	#88251	1	2	yes	—
1302	C₂³	#88251	1	2	yes	—
1303	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1304	Q₈	—	4	4	no	—
1305	Q₈	—	52	4	no	—
1306	Q₈	—	52	4	no	—
1307	Q₈	—	52	4	no	—
1308	Q₈	—	52	4	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	8	no	—
1311	D₄	—	4	4	no	—
1312	C₂×C₄	—	2	8	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	4	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	8	2	no	—
1348	C₂×C₄	—	8	2	no	—
1349	C₂×C₄	—	8	2	no	—
1350	C₂×C₄	—	13	2	no	—
1351	C₂×C₄	—	13	2	no	—
1352	C₂×C₄	—	13	2	no	—
1353	C₂×C₄	—	13	2	no	—
1354	C₂×C₄	—	13	2	no	—
1355	C₂×C₄	—	13	2	no	—
1356	C₂×C₄	—	13	2	no	—
1357	C₂×C₄	—	13	2	no	—
1358	C₂×C₄	—	13	2	no	—
1359	C₂×C₄	—	26	8	no	—
1360	C₂×C₄	—	26	8	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	26	1	no	—
1380	C₂×C₄	—	26	1	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	52	4	no	—
1401	C₂×C₄	—	104	2	no	—
1402	C₂×C₄	—	104	2	no	—
1403	C₂×C₄	—	104	2	no	—
1404	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1405	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1406	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1408	C₂×C₄	#88257	1	2	yes	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	#11719191	1	4	yes	—
1430	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1431	C₂²	C₂×#88251	1	1	yes	characteristic
1432	C₂²	C₂×#88251	1	1	yes	characteristic
1433	C₂²	C₂×#88257	1	1	yes	characteristic
1434	C₂²	#11719648	1	1	yes	characteristic
1435	C₂²	#11719650	1	1	yes	characteristic
1436	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1437	C₄	—	2	2	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	26	2	no	—
1450	C₄	—	26	2	no	—
1451	C₄	—	26	2	no	—
1452	C₄	—	26	2	no	—
1453	C₄	—	26	2	no	—
1454	C₄	—	26	2	no	—
1455	C₄	—	26	2	no	—
1456	C₄	—	26	2	no	—
1457	C₄	—	26	2	no	—
1458	C₄	—	52	1	no	—
1459	C₄	—	52	1	no	—
1460	C₄	—	52	1	no	—
1461	C₄	—	52	1	no	—
1462	C₄	—	52	1	no	—
1463	C₄	—	52	1	no	—
1464	C₄	—	52	1	no	—
1465	C₂	—	2	4	no	—
1466	C₂	—	4	2	no	—
1467	C₂	—	4	2	no	—
1468	C₂	C₂×#11719191	1	1	yes	characteristic
1469	C₂	C₄×#88257	1	1	yes	characteristic
1470	C₂	#13128047	1	1	yes	characteristic
1471	C₂	#13129033	1	1	yes	characteristic
1472	C₂	#13129037	1	1	yes	characteristic
1473	C₂	#13129172	1	1	yes	characteristic
1474	C₂	#13129183	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2339	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×C₁₃×#41	C₂²
hypercenter	#2339	D₁₃
hypocenter	C₁₃	#34409
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2339

Complements

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

N	H ≅ G/N	type
2. #13118015	C₂	semidirect
3. #13118006	C₂	semidirect
4. #13118004	C₂	semidirect
5. #13117999	C₂	semidirect
6. #13117945	C₂	semidirect
7. #13117924	C₂	semidirect
8. #13117919	C₂	semidirect
9. #13117916	C₂	semidirect
10. #13117834	C₂	semidirect
11. #13117834	C₂	semidirect
12. #13117822	C₂	semidirect
13. #13117822	C₂	semidirect
14. #13117698	C₂	semidirect
15. #13117692	C₂	semidirect
17. #13117645	C₂	semidirect
18. #13117645	C₂	semidirect
19. #13117592	C₂	semidirect
20. #13117589	C₂	semidirect
21. #13117579	C₂	semidirect
22. #13117579	C₂	semidirect
23. #13117569	C₂	semidirect
24. #13117566	C₂	semidirect
25. #13117510	C₂	semidirect
26. #13117501	C₂	semidirect
27. #13117421	C₂	semidirect
28. #13117361	C₂	semidirect
29. C₄×#88189	C₂	semidirect
30. C₂×#11718307	C₂	semidirect
36. #11719530	C₄	semidirect
210. C₂²×Dic₂₆	C₂×C₄	semidirect
247. #88198	C₂×C₄	semidirect
248. #88198	C₂×C₄	semidirect
249. #88190	C₂×C₄	semidirect
250. #88190	C₂×C₄	semidirect
251. #88189	C₂×C₄	semidirect
252. #88189	C₂×C₄	semidirect
253. #88189	C₂×C₄	semidirect
254. #88189	C₂×C₄	semidirect
257. #88180	C₂×C₄	semidirect
262. #88178	C₂×C₄	semidirect
263. #88178	C₂×C₄	semidirect
264. #88178	C₂×C₄	semidirect
265. #88178	C₂×C₄	semidirect
1281. C₁₃	#34409	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719530	2
#13118015	2
#13118006	2
#13118004	2
#13117999	2
#13117945	2
#13117924	2
#13117919	2
#13117916	2
#13117834	2
#13117822	2
#13117698	2
#13117692	2
#13117666	2
#13117645	2
#13117592	2
#13117589	2
#13117579	2
#13117569	2
#13117566	2
#13117510	2
#13117501	2
#13117421	2
#13117361	2
C₄×#88189	2
C₂×#11718307	2
C₁₃×#2339	2
#34409	13