Subgroups — #16028165

Order 3328.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719244	C₂	1	1	yes	maximal, characteristic
2	#13118021	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118014	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118004	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117996	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117940	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117917	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117917	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117866	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117839	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117803	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117774	C₂	1	1	yes	maximal, characteristic
13	#13117774	C₂	1	1	yes	maximal, characteristic
14	#13117765	C₂	1	1	yes	maximal, characteristic
15	#13117714	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117700	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117639	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117637	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117593	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117586	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117569	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117567	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117551	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117514	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117486	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117462	C₂	1	1	yes	maximal, characteristic
27	#13117438	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117368	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117276	C₂	1	1	yes	maximal, characteristic
30	C₂×#11718316	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic
32	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
34	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88180	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
37	C₂×#88178	C₂²	1	1	yes	characteristic
38	C₂×#88178	C₂²	1	1	yes	characteristic
39	C₂²×#6101	C₂²	1	1	yes	characteristic
40	C₂²×#6101	C₂²	1	1	yes	characteristic
41	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
42	#11719244	C₄	1	16	yes	complemented
43	C₂×#88144	C₂²	1	1	yes	characteristic
44	C₂×#88142	C₂²	1	1	yes	characteristic
45	C₂×#88141	C₂²	1	1	yes	characteristic
46	C₂×#88132	C₂²	1	1	yes	characteristic
47	C₂×#88132	C₂²	1	1	yes	characteristic
48	C₂×#88132	C₂²	1	1	yes	characteristic
49	C₂×#88132	C₂²	1	1	yes	characteristic
50	C₂×#88131	C₂²	1	1	yes	characteristic
51	C₂×#88124	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
54	C₁₃×#388	C₂²	1	1	yes	characteristic
55	C₁₃×#388	C₂²	1	1	yes	characteristic
56	C₁₃×#387	C₂²	1	1	yes	characteristic
57	C₁₃×#387	C₂²	1	1	yes	characteristic
58	C₁₃×#386	C₂²	1	1	yes	characteristic
59	C₁₃×#386	C₂²	1	1	yes	characteristic
60	C₁₃×#385	C₂²	1	1	yes	characteristic
61	C₁₃×#385	C₂²	1	1	yes	characteristic
62	C₁₃×#383	C₂²	1	1	yes	characteristic
63	C₁₃×#382	C₂²	1	1	yes	characteristic
64	C₁₃×#381	C₂²	1	1	yes	characteristic
65	C₁₃×#380	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
68	#11718881	C₂²	1	1	yes	characteristic
69	#11718881	C₂²	1	1	yes	characteristic
70	#11718873	C₂²	1	1	yes	characteristic
71	#11718873	C₂²	1	1	yes	characteristic
72	#11718871	C₂²	1	1	yes	characteristic
73	#11718871	C₂²	1	1	yes	characteristic
74	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
75	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
76	C₂×#88071	C₂²	1	1	yes	characteristic
77	C₂×#88071	C₂²	1	1	yes	characteristic
78	C₂×#88071	C₂²	1	1	yes	characteristic
79	#11718642	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718639	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	#11718639	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
90	#11718635	C₂²	1	1	yes	characteristic
91	#11718635	C₂²	1	1	yes	characteristic
92	#11718635	C₂²	1	1	yes	characteristic
93	#11718634	C₂²	1	1	yes	characteristic
94	#11718633	C₂²	1	1	yes	characteristic
95	#11718633	C₂²	1	1	yes	characteristic
96	#11718612	C₂²	1	1	yes	characteristic
97	#11718612	C₂²	1	1	yes	characteristic
98	#11718607	C₂²	1	1	yes	characteristic
99	#11718607	C₂²	1	1	yes	characteristic
100	#11718606	C₂²	1	1	yes	characteristic
101	#11718606	C₂²	1	1	yes	characteristic
102	#11718606	C₂²	1	1	yes	characteristic
103	#11718606	C₂²	1	1	yes	characteristic
104	#11718605	C₂²	1	1	yes	characteristic
105	#11718605	C₂²	1	1	yes	characteristic
106	#11718605	C₂²	1	1	yes	characteristic
107	#11718605	C₂²	1	1	yes	characteristic
108	#11718604	C₂²	1	1	yes	characteristic
109	#11718604	C₂²	1	1	yes	characteristic
110	#11718604	C₂²	1	1	yes	characteristic
111	#11718603	C₂²	1	1	yes	characteristic
112	#11718603	C₂²	1	1	yes	characteristic
113	#11718603	C₂²	1	1	yes	characteristic
114	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
120	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
121	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
122	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
123	#11718597	C₂²	1	1	yes	characteristic
124	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
125	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
126	#11718594	C₂²	1	1	yes	characteristic
127	#11718594	C₂²	1	1	yes	characteristic
128	C₄×#6101	C₂²	1	1	yes	characteristic
129	C₄×#6101	C₂²	1	1	yes	characteristic
130	#11718590	C₂²	1	1	yes	characteristic
131	#11718589	C₂²	1	1	yes	characteristic
132	#11718316	C₂²	1	1	yes	characteristic
133	#11718316	C₂²	1	1	yes	characteristic
134	#11718316	C₂²	1	1	yes	characteristic
135	#11718316	C₂²	1	1	yes	characteristic
136	#11718316	C₂²	1	1	yes	characteristic
137	#11718316	C₂²	1	1	yes	characteristic
138	#11718316	C₂²	1	1	yes	characteristic
139	#11718316	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	#11718316	C₂²	1	1	yes	characteristic
145	#11718316	C₂²	1	1	yes	characteristic
146	#11718315	C₂²	1	1	yes	characteristic
147	#11718315	C₂²	1	1	yes	characteristic
148	#11718315	C₂²	1	1	yes	characteristic
149	#11718315	C₂²	1	1	yes	characteristic
150	#11718315	C₂²	1	1	yes	characteristic
151	#11718315	C₂²	1	1	yes	characteristic
152	#11718314	C₂²	1	1	yes	characteristic
153	#11718314	C₂²	1	1	yes	characteristic
154	#11718314	C₂²	1	1	yes	characteristic
155	#11718314	C₂²	1	1	yes	characteristic
156	#11718314	C₂²	1	1	yes	characteristic
157	#11718314	C₂²	1	1	yes	characteristic
158	#11718314	C₂²	1	1	yes	characteristic
159	#11718314	C₂²	1	1	yes	characteristic
160	#11718313	C₂²	1	1	yes	characteristic
161	#11718313	C₂²	1	1	yes	characteristic
162	#11718313	C₂²	1	1	yes	characteristic
163	#11718313	C₂²	1	1	yes	characteristic
164	#11718312	C₂²	1	1	yes	characteristic
165	#11718312	C₂²	1	1	yes	characteristic
166	#11718312	C₂²	1	1	yes	characteristic
167	#11718311	C₂²	1	1	yes	characteristic
168	#11718310	C₂²	1	1	yes	characteristic
169	#11718310	C₂²	1	1	yes	characteristic
170	#11718310	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718309	C₂²	1	1	yes	characteristic
174	#11718309	C₂²	1	1	yes	characteristic
175	#11718309	C₂²	1	1	yes	characteristic
176	#11718308	C₂²	1	1	yes	characteristic
177	#11718308	C₂²	1	1	yes	characteristic
178	#11718308	C₂²	1	1	yes	characteristic
179	#11718308	C₂²	1	1	yes	characteristic
180	#11718308	C₂²	1	1	yes	characteristic
181	#11718308	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	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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	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	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
200	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
201	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
202	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	—
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×C₂²⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	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	D₄×Dic₁₃	C₂×C₄	1	8	yes	—
230	D₄×Dic₁₃	C₂×C₄	1	8	yes	—
231	#88180	—	4	2	no	—
232	C₂×C₄⋊Dic₁₃	—	4	2	no	—
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	#88178	C₂×C₄	1	8	yes	—
245	#88178	C₂×C₄	1	8	yes	complemented
246	C₂×#6101	C₂×C₄	1	8	yes	—
247	C₂×#6101	C₂×C₄	1	8	yes	complemented
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
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×C₄×Dic₁₃	—	4	2	no	—
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×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	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	#88144	C₂×C₄	1	8	yes	complemented
294	#88142	C₂×C₄	1	8	yes	complemented
295	#88141	—	4	2	no	—
296	#88132	C₂×C₄	1	8	yes	—
297	#88132	C₂×C₄	1	8	yes	—
298	#88132	C₂×C₄	1	8	yes	complemented
299	#88132	C₂×C₄	1	8	yes	complemented
300	#88131	—	4	2	no	—
301	#88124	C₂×C₄	1	8	yes	complemented
302	C₄×Dic₂₆	—	4	2	no	—
303	C₄×Dic₂₆	C₂×C₄	1	8	yes	complemented
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#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	#34486	—	13	1	no	maximal, Sylow
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	4	1	no	—
373	C₂²×C₄×C₁₃	—	4	1	no	—
374	C₂²×C₄×C₁₃	—	4	1	no	—
375	C₂²×C₄×C₁₃	—	4	1	no	—
376	C₂²×C₄×C₁₃	—	4	1	no	—
377	C₂²×C₄×C₁₃	—	4	1	no	—
378	C₂²×C₄×C₁₃	—	4	1	no	—
379	C₂²×C₄×C₁₃	—	4	1	no	—
380	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
381	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	—	2	2	no	—
396	C₂²×Dic₁₃	—	2	2	no	—
397	C₂²×Dic₁₃	—	2	2	no	—
398	C₂²×Dic₁₃	—	4	1	no	—
399	C₂²×Dic₁₃	—	4	1	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	—	4	1	no	—
406	C₂²×Dic₁₃	—	4	1	no	—
407	C₂²×Dic₁₃	—	4	1	no	—
408	C₂²×Dic₁₃	—	4	1	no	—
409	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
410	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
411	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
412	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×Dic₂₆	—	4	1	no	—
430	C₂×Dic₂₆	—	4	1	no	—
431	C₂×Dic₂₆	—	4	1	no	—
432	C₂×Dic₂₆	—	4	1	no	—
433	C₂×Dic₂₆	—	4	1	no	—
434	C₂×Dic₂₆	—	4	1	no	—
435	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
436	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
437	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
438	C₁₃×C₄⋊C₄	—	4	1	no	—
439	C₁₃×C₄⋊C₄	—	4	1	no	—
440	C₁₃×C₄⋊C₄	—	4	1	no	—
441	C₁₃×C₄⋊C₄	—	4	1	no	—
442	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	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	C₄²×C₁₃	—	4	1	no	—
452	C₄²×C₁₃	—	4	1	no	—
453	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
454	C₂²⋊Dic₁₃	—	2	2	no	—
455	C₂²⋊Dic₁₃	—	2	2	no	—
456	C₂²⋊Dic₁₃	—	2	2	no	—
457	C₂²⋊Dic₁₃	—	4	1	no	—
458	C₂²⋊Dic₁₃	—	4	1	no	—
459	C₂²⋊Dic₁₃	—	4	1	no	—
460	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
461	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
462	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
463	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
464	C₄⋊Dic₁₃	—	2	2	no	—
465	C₄⋊Dic₁₃	—	2	2	no	—
466	C₄⋊Dic₁₃	—	4	1	no	—
467	C₄⋊Dic₁₃	—	4	1	no	—
468	C₄⋊Dic₁₃	—	4	1	no	—
469	C₄⋊Dic₁₃	—	4	1	no	—
470	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
471	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
472	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
473	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
474	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
475	#6101	—	2	2	no	—
476	#6101	—	4	1	no	—
477	#6101	—	4	1	no	—
478	#6101	—	4	1	no	—
479	#6101	—	4	1	no	—
480	#6101	—	4	1	no	—
481	#6101	—	4	1	no	—
482	#6101	—	4	1	no	—
483	#6101	—	4	1	no	—
484	#6101	—	4	1	no	—
485	#6101	—	4	1	no	—
486	#6101	—	4	1	no	—
487	#6101	C₂²×C₄	1	4	yes	—
488	#6101	C₂²×C₄	1	4	yes	—
489	#6101	C₂²×C₄	1	4	yes	—
490	#6101	C₂²×C₄	1	4	yes	—
491	#6101	C₂²×C₄	1	4	yes	—
492	#6101	C₂²×C₄	1	4	yes	—
493	#6101	C₂²×C₄	1	4	yes	—
494	#6101	C₂²×C₄	1	4	yes	—
495	#6101	C₂²×C₄	1	4	yes	—
496	#6101	C₂²×C₄	1	4	yes	—
497	C₄×Dic₁₃	—	2	2	no	—
498	C₄×Dic₁₃	—	2	2	no	—
499	C₄×Dic₁₃	—	2	2	no	—
500	C₄×Dic₁₃	—	2	2	no	—
501	C₄×Dic₁₃	—	4	1	no	—
502	C₄×Dic₁₃	—	4	1	no	—
503	C₄×Dic₁₃	—	4	1	no	—
504	C₄×Dic₁₃	—	4	1	no	—
505	C₄×Dic₁₃	—	4	1	no	—
506	C₄×Dic₁₃	—	4	1	no	—
507	C₄×Dic₁₃	—	4	1	no	—
508	C₄×Dic₁₃	—	4	1	no	—
509	C₄×Dic₁₃	—	4	1	no	—
510	C₄×Dic₁₃	—	4	1	no	—
511	C₄×Dic₁₃	—	4	1	no	—
512	C₄×Dic₁₃	—	4	1	no	—
513	C₄×Dic₁₃	—	4	1	no	—
514	C₄×Dic₁₃	—	4	1	no	—
515	C₄×Dic₁₃	—	4	1	no	—
516	C₄×Dic₁₃	—	4	1	no	—
517	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
518	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
519	C₂×#554	—	13	1	no	—
520	#2382	—	13	1	no	—
521	#2381	—	13	1	no	—
522	#2378	—	13	1	no	—
523	#2378	—	13	1	no	—
524	#2371	—	13	1	no	—
525	#2368	—	13	1	no	—
526	#2368	—	13	1	no	—
527	#2362	—	13	1	no	—
528	#2360	—	13	1	no	—
529	#2356	—	13	1	no	—
530	#2353	—	13	1	no	—
531	#2353	—	13	1	no	—
532	#2352	—	13	1	no	—
533	#2345	—	13	1	no	—
534	#2344	—	13	1	no	—
535	#2336	—	13	1	no	—
536	#2336	—	13	1	no	—
537	#2332	—	13	1	no	—
538	#2332	—	13	1	no	—
539	#2329	—	13	1	no	—
540	#2329	—	13	1	no	—
541	#2327	—	13	1	no	—
542	#2323	—	13	1	no	—
543	#2320	—	13	1	no	—
544	#2318	—	13	1	no	—
545	#2318	D₁₃	1	1	yes	characteristic
546	#2313	—	13	1	no	—
547	C₄×C₂²⋊Q₈	—	13	1	no	—
548	#2290	—	13	1	no	—
549	C₂×#387	—	13	1	no	—
550	C₂³×C₁₃	—	2	1	no	—
551	C₂³×C₁₃	—	2	1	no	—
552	C₂³×C₁₃	—	2	1	no	—
553	C₂³×C₁₃	—	2	1	no	—
554	C₂³×C₁₃	—	2	1	no	—
555	C₂³×C₁₃	—	2	1	no	—
556	C₂³×C₁₃	—	2	1	no	—
557	C₂³×C₁₃	—	2	1	no	—
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	1	no	—
560	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
561	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
562	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
563	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
564	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
565	D₄×C₁₃	—	2	8	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	4	4	no	—
601	C₂×C₄×C₁₃	—	4	4	no	—
602	C₂×C₄×C₁₃	—	4	4	no	—
603	C₂×C₄×C₁₃	—	8	2	no	—
604	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	—	2	1	no	—
618	C₂×Dic₁₃	—	2	1	no	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	—	2	1	no	—
629	C₂×Dic₁₃	—	2	1	no	—
630	C₂×Dic₁₃	—	2	1	no	—
631	C₂×Dic₁₃	—	2	1	no	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	1	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	4	4	no	—
649	C₂×Dic₁₃	—	4	4	no	—
650	C₂×Dic₁₃	—	4	4	no	—
651	C₂×Dic₁₃	—	4	4	no	—
652	C₂×Dic₁₃	—	4	4	no	—
653	C₂×Dic₁₃	—	8	2	no	—
654	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
655	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
656	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
657	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
660	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
661	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
662	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
663	Dic₂₆	—	4	4	no	—
664	Dic₂₆	—	4	4	no	—
665	Dic₂₆	—	4	4	no	—
666	#554	—	13	16	no	—
667	C₂×C₄⋊Q₈	—	13	1	no	—
668	C₂×#125	—	13	1	no	—
669	C₂×#125	—	13	1	no	—
670	C₂×C₂²⋊Q₈	—	13	1	no	—
671	C₂×C₂²⋊Q₈	—	13	1	no	—
672	C₂×C₂²⋊Q₈	—	13	1	no	—
673	C₂×C₂²⋊Q₈	—	13	1	no	—
674	C₂×C₂²⋊Q₈	—	13	1	no	—
675	C₂×C₂²⋊Q₈	—	13	1	no	—
676	C₂×C₄×Q₈	—	13	1	no	—
677	C₂×C₄×Q₈	—	13	1	no	—
678	C₂×C₄×Q₈	—	13	1	no	—
679	C₂×C₄×D₄	—	13	1	no	—
680	C₂×C₄×D₄	—	13	1	no	—
681	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
682	C₂×#117	—	13	1	no	—
683	C₂×#117	—	13	1	no	—
684	C₂²×C₄⋊C₄	—	13	1	no	—
685	C₂²×C₄⋊C₄	—	13	1	no	—
686	C₂²×C₄⋊C₄	—	13	1	no	—
687	C₂²×C₄²	—	13	1	no	—
688	#391	—	13	1	no	—
689	#391	—	13	1	no	—
690	#391	—	13	1	no	—
691	#391	—	13	1	no	—
692	#391	—	13	1	no	—
693	#391	—	13	1	no	—
694	#391	—	13	1	no	—
695	#391	—	13	1	no	—
696	#391	—	13	1	no	—
697	#391	—	13	1	no	—
698	#389	—	13	1	no	—
699	#389	—	13	1	no	—
700	#389	—	13	1	no	—
701	#389	—	13	1	no	—
702	#389	—	13	1	no	—
703	#389	—	13	1	no	—
704	#389	—	13	1	no	—
705	#389	—	13	1	no	—
706	#389	—	13	1	no	—
707	#389	—	13	1	no	—
708	#388	—	13	1	no	—
709	#388	—	13	1	no	—
710	#388	—	13	1	no	—
711	#388	—	13	1	no	—
712	#388	—	13	1	no	—
713	#388	—	13	1	no	—
714	#388	—	13	1	no	—
715	#388	—	13	1	no	—
716	#388	—	13	1	no	—
717	#388	—	13	1	no	—
718	#388	C₂×D₁₃	1	1	yes	characteristic
719	#388	C₂×D₁₃	1	1	yes	characteristic
720	#387	—	13	1	no	—
721	#387	—	13	1	no	—
722	#387	—	13	1	no	—
723	#387	—	13	1	no	—
724	#387	—	13	1	no	—
725	#387	—	13	1	no	—
726	#387	—	13	1	no	—
727	#387	—	13	1	no	—
728	#387	—	13	1	no	—
729	#387	—	13	1	no	—
730	#387	—	13	1	no	—
731	#387	—	13	1	no	—
732	#387	—	13	1	no	—
733	#387	—	13	1	no	—
734	#387	—	13	1	no	—
735	#387	—	13	1	no	—
736	#387	—	13	1	no	—
737	#387	—	13	1	no	—
738	#387	—	13	1	no	—
739	#387	—	13	1	no	—
740	#387	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic
763	#387	C₂×D₁₃	1	1	yes	characteristic
764	#386	—	13	1	no	—
765	#386	—	13	1	no	—
766	#386	C₂×D₁₃	1	1	yes	characteristic
767	#386	C₂×D₁₃	1	1	yes	characteristic
768	#385	—	13	1	no	—
769	#385	—	13	1	no	—
770	#385	—	13	1	no	—
771	#385	—	13	1	no	—
772	#385	C₂×D₁₃	1	1	yes	characteristic
773	#385	C₂×D₁₃	1	1	yes	characteristic
774	#383	—	13	1	no	—
775	#383	—	13	1	no	—
776	#383	—	13	1	no	—
777	#383	C₂×D₁₃	1	1	yes	characteristic
778	#382	—	13	1	no	—
779	#382	—	13	1	no	—
780	#382	C₂×D₁₃	1	1	yes	characteristic
781	#381	—	13	1	no	—
782	#381	—	13	1	no	—
783	#381	—	13	1	no	—
784	#381	C₂×D₁₃	1	1	yes	characteristic
785	#380	—	13	1	no	—
786	#380	—	13	1	no	—
787	#380	—	13	1	no	—
788	#380	—	13	1	no	—
789	#380	—	13	1	no	—
790	#380	C₂×D₁₃	1	1	yes	characteristic
791	C₄×C₄⋊C₄	—	13	1	no	—
792	C₄×C₄⋊C₄	—	13	1	no	—
793	C₄×C₄⋊C₄	—	13	1	no	—
794	C₄×C₄⋊C₄	—	13	1	no	—
795	C₄×C₄⋊C₄	—	13	1	no	—
796	C₄×C₄⋊C₄	—	13	1	no	—
797	C₄×C₄⋊C₄	—	13	1	no	—
798	C₄×C₄⋊C₄	—	13	1	no	—
799	C₄×C₄⋊C₄	—	13	1	no	—
800	C₄×C₄⋊C₄	—	13	1	no	—
801	C₄×C₄⋊C₄	—	13	1	no	—
802	C₄×C₄⋊C₄	—	13	1	no	—
803	C₄×C₂²⋊C₄	—	13	1	no	—
804	C₄×C₂²⋊C₄	—	13	1	no	—
805	C₄×C₂²⋊C₄	—	13	1	no	—
806	C₄×C₂²⋊C₄	—	13	1	no	—
807	C₄×C₂²⋊C₄	—	13	1	no	—
808	C₄×C₂²⋊C₄	—	13	1	no	—
809	C₄×C₂²⋊C₄	—	13	1	no	—
810	C₄×C₂²⋊C₄	—	13	1	no	—
811	C₄×C₂²⋊C₄	—	13	1	no	—
812	C₄×C₂²⋊C₄	—	13	1	no	—
813	C₄×C₂²⋊C₄	—	13	1	no	—
814	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
815	#376	—	13	1	no	—
816	#376	—	13	1	no	—
817	#376	—	13	1	no	—
818	C₂×#95	—	13	1	no	—
819	C₂×#95	—	13	1	no	—
820	C₂×#95	—	13	1	no	—
821	C₂×#95	C₂×D₁₃	1	1	yes	characteristic
822	C₂²×C₁₃	—	2	2	no	—
823	C₂²×C₁₃	—	2	2	no	—
824	C₂²×C₁₃	—	2	2	no	—
825	C₂²×C₁₃	—	2	2	no	—
826	C₂²×C₁₃	—	2	2	no	—
827	C₂²×C₁₃	—	2	2	no	—
828	C₂²×C₁₃	—	2	2	no	—
829	C₂²×C₁₃	—	2	2	no	—
830	C₂²×C₁₃	—	2	2	no	—
831	C₂²×C₁₃	—	4	1	no	—
832	C₂²×C₁₃	—	4	1	no	—
833	C₂²×C₁₃	—	4	1	no	—
834	C₂²×C₁₃	—	4	1	no	—
835	C₂²×C₁₃	#519	1	4	yes	—
836	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
837	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
838	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
839	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
840	C₂²×C₁₃	#585	1	1	yes	characteristic
841	C₂²×C₁₃	#585	1	1	yes	characteristic
842	C₂²×C₁₃	#585	1	1	yes	characteristic
843	C₄×C₁₃	—	2	2	no	—
844	C₄×C₁₃	—	2	2	no	—
845	C₄×C₁₃	—	2	2	no	—
846	C₄×C₁₃	—	2	2	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	4	1	no	—
849	C₄×C₁₃	—	4	1	no	—
850	C₄×C₁₃	—	4	1	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	—	4	1	no	—
853	C₄×C₁₃	—	4	1	no	—
854	C₄×C₁₃	—	4	1	no	—
855	C₄×C₁₃	—	4	1	no	—
856	Dic₁₃	—	2	2	no	—
857	Dic₁₃	—	2	2	no	—
858	Dic₁₃	—	2	2	no	—
859	Dic₁₃	—	2	2	no	—
860	Dic₁₃	—	2	2	no	—
861	Dic₁₃	—	2	2	no	—
862	Dic₁₃	—	2	2	no	—
863	Dic₁₃	—	2	2	no	—
864	Dic₁₃	—	2	2	no	—
865	Dic₁₃	—	4	1	no	—
866	Dic₁₃	—	4	1	no	—
867	Dic₁₃	—	4	1	no	—
868	Dic₁₃	—	4	1	no	—
869	Dic₁₃	—	4	1	no	—
870	Dic₁₃	—	4	1	no	—
871	Dic₁₃	—	4	1	no	—
872	C₂²×Q₈	—	13	1	no	—
873	C₂²×Q₈	—	13	1	no	—
874	C₂²×Q₈	—	13	1	no	—
875	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
876	C₂³×C₄	—	13	1	no	—
877	C₂³×C₄	—	13	1	no	—
878	C₂³×C₄	—	13	1	no	—
879	C₂³×C₄	—	13	1	no	—
880	C₂³×C₄	—	13	1	no	—
881	C₂³×C₄	—	13	1	no	—
882	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
883	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
884	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
885	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
886	C₄⋊Q₈	—	13	8	no	—
887	#125	—	13	8	no	—
888	#125	—	13	8	no	—
889	C₂²⋊Q₈	—	13	8	no	—
890	C₂²⋊Q₈	—	13	8	no	—
891	C₂²⋊Q₈	—	13	8	no	—
892	C₂²⋊Q₈	—	13	8	no	—
893	C₂²⋊Q₈	—	13	8	no	—
894	C₂²⋊Q₈	—	13	8	no	—
895	C₄×Q₈	—	13	8	no	—
896	C₄×Q₈	—	52	2	no	—
897	C₄×Q₈	—	52	2	no	—
898	C₄×D₄	—	13	8	no	—
899	C₄×D₄	—	13	8	no	—
900	C₄×D₄	C₄×D₁₃	1	8	yes	—
901	#117	—	52	2	no	—
902	#117	—	52	2	no	—
903	C₂×C₄⋊C₄	—	13	8	no	—
904	C₂×C₄⋊C₄	—	13	8	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	1	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	1	no	—
910	C₂×C₄⋊C₄	—	13	1	no	—
911	C₂×C₄⋊C₄	—	13	1	no	—
912	C₂×C₄⋊C₄	—	13	1	no	—
913	C₂×C₄⋊C₄	—	13	1	no	—
914	C₂×C₄⋊C₄	—	13	1	no	—
915	C₂×C₄⋊C₄	—	13	1	no	—
916	C₂×C₄⋊C₄	—	13	1	no	—
917	C₂×C₄⋊C₄	—	13	1	no	—
918	C₂×C₄⋊C₄	—	13	1	no	—
919	C₂×C₄⋊C₄	—	13	1	no	—
920	C₂×C₄⋊C₄	—	13	1	no	—
921	C₂×C₄⋊C₄	—	13	1	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	1	no	—
930	C₂×C₄⋊C₄	—	13	1	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	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	—	52	2	no	—
939	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	—	13	1	no	—
945	C₂×C₂²⋊C₄	—	13	1	no	—
946	C₂×C₂²⋊C₄	—	13	1	no	—
947	C₂×C₂²⋊C₄	—	13	1	no	—
948	C₂×C₂²⋊C₄	—	13	1	no	—
949	C₂×C₂²⋊C₄	—	13	1	no	—
950	C₂×C₂²⋊C₄	—	13	1	no	—
951	C₂×C₂²⋊C₄	—	13	1	no	—
952	C₂×C₂²⋊C₄	—	13	1	no	—
953	C₂×C₂²⋊C₄	—	13	1	no	—
954	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
962	C₂×C₄²	—	13	1	no	—
963	C₂×C₄²	—	13	1	no	—
964	C₂×C₄²	—	13	1	no	—
965	C₂×C₄²	—	13	1	no	—
966	C₂×C₄²	—	13	1	no	—
967	C₂×C₄²	—	13	1	no	—
968	C₂×C₄²	—	13	1	no	—
969	C₂×C₄²	—	13	1	no	—
970	C₂×C₄²	—	13	1	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	1	no	—
973	C₂×C₄²	—	13	1	no	—
974	C₂×C₄²	—	13	1	no	—
975	C₂×C₄²	—	13	1	no	—
976	C₂×C₄²	—	13	1	no	—
977	C₂×C₄²	—	13	1	no	—
978	C₂×C₄²	—	13	1	no	—
979	C₂×C₄²	—	13	1	no	—
980	C₂×C₄²	—	13	1	no	—
981	C₂×C₄²	—	13	1	no	—
982	C₂×C₄²	—	13	1	no	—
983	C₂×C₄²	—	13	1	no	—
984	C₂×C₄²	—	52	2	no	—
985	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
988	#95	—	13	1	no	—
989	#95	—	13	1	no	—
990	#95	—	13	1	no	—
991	#95	—	13	1	no	—
992	#95	—	13	1	no	—
993	#95	—	13	1	no	—
994	#95	—	13	1	no	—
995	#95	—	13	1	no	—
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	—	13	1	no	—
1008	#95	—	13	1	no	—
1009	#95	—	13	1	no	—
1010	#95	—	13	1	no	—
1011	#95	—	13	1	no	—
1012	#95	—	13	1	no	—
1013	#95	—	13	1	no	—
1014	#95	—	13	1	no	—
1015	#95	—	13	1	no	—
1016	#95	—	13	1	no	—
1017	#95	—	13	1	no	—
1018	#95	—	13	1	no	—
1019	#95	—	13	1	no	—
1020	#95	—	13	1	no	—
1021	#95	—	13	1	no	—
1022	#95	—	13	1	no	—
1023	#95	—	13	1	no	—
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	C₂²×D₁₃	1	1	yes	characteristic
1035	#95	C₂²×D₁₃	1	1	yes	characteristic
1036	#95	C₂²×D₁₃	1	1	yes	characteristic
1037	#95	C₂²×D₁₃	1	1	yes	characteristic
1038	#95	C₂²×D₁₃	1	1	yes	characteristic
1039	#95	C₂²×D₁₃	1	1	yes	characteristic
1040	#95	C₂²×D₁₃	1	1	yes	characteristic
1041	#95	C₂²×D₁₃	1	1	yes	characteristic
1042	#95	C₂²×D₁₃	1	1	yes	characteristic
1043	#95	C₂²×D₁₃	1	1	yes	characteristic
1044	#95	C₂²×D₁₃	1	1	yes	characteristic
1045	#95	C₂²×D₁₃	1	1	yes	characteristic
1046	#95	C₂²×D₁₃	1	1	yes	characteristic
1047	#95	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₁₃	—	2	4	no	—
1049	C₂×C₁₃	—	4	2	no	—
1050	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
1051	C₂×C₁₃	#3428	1	1	yes	characteristic
1052	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1053	C₂×C₁₃	#3535	1	1	yes	characteristic
1054	C₂×C₁₃	#3541	1	1	yes	characteristic
1055	C₂×C₁₃	#3553	1	1	yes	characteristic
1056	C₂×C₁₃	#3564	1	1	yes	characteristic
1057	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1058	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1059	C₂×Q₈	—	13	4	no	—
1060	C₂×Q₈	—	13	4	no	—
1061	C₂×Q₈	—	13	4	no	—
1062	C₂×Q₈	—	52	1	no	—
1063	C₂×Q₈	—	52	1	no	—
1064	C₂×Q₈	—	52	1	no	—
1065	C₂×Q₈	—	52	1	no	—
1066	C₂×Q₈	—	52	1	no	—
1067	C₂×Q₈	—	52	1	no	—
1068	C₂×D₄	—	2	2	no	—
1069	C₂×D₄	—	2	2	no	—
1070	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	13	1	no	—
1082	C₂²×C₄	—	13	1	no	—
1083	C₂²×C₄	—	13	1	no	—
1084	C₂²×C₄	—	13	1	no	—
1085	C₂²×C₄	—	13	1	no	—
1086	C₂²×C₄	—	13	1	no	—
1087	C₂²×C₄	—	13	1	no	—
1088	C₂²×C₄	—	13	1	no	—
1089	C₂²×C₄	—	13	1	no	—
1090	C₂²×C₄	—	13	4	no	—
1091	C₂²×C₄	—	13	4	no	—
1092	C₂²×C₄	—	13	4	no	—
1093	C₂²×C₄	—	13	4	no	—
1094	C₂²×C₄	—	13	1	no	—
1095	C₂²×C₄	—	13	1	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	13	1	no	—
1099	C₂²×C₄	—	13	1	no	—
1100	C₂²×C₄	—	13	1	no	—
1101	C₂²×C₄	—	26	2	no	—
1102	C₂²×C₄	—	26	2	no	—
1103	C₂²×C₄	—	26	2	no	—
1104	C₂²×C₄	—	52	1	no	—
1105	C₂²×C₄	—	52	1	no	—
1106	C₂²×C₄	—	52	1	no	—
1107	C₂²×C₄	—	52	1	no	—
1108	C₂²×C₄	—	52	1	no	—
1109	C₂²×C₄	—	52	1	no	—
1110	C₂²×C₄	—	52	1	no	—
1111	C₂²×C₄	—	52	1	no	—
1112	C₂²×C₄	—	52	1	no	—
1113	C₂²×C₄	—	52	1	no	—
1114	C₂²×C₄	—	52	1	no	—
1115	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1116	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1117	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	13	4	no	—
1135	C₄⋊C₄	—	13	4	no	—
1136	C₄⋊C₄	—	13	4	no	—
1137	C₄⋊C₄	—	13	4	no	—
1138	C₄⋊C₄	—	13	4	no	—
1139	C₄⋊C₄	—	13	4	no	—
1140	C₄⋊C₄	—	13	4	no	—
1141	C₄⋊C₄	—	13	4	no	—
1142	C₄⋊C₄	—	13	4	no	—
1143	C₄⋊C₄	—	13	4	no	—
1144	C₄⋊C₄	—	13	4	no	—
1145	C₄⋊C₄	—	13	4	no	—
1146	C₄⋊C₄	—	13	4	no	—
1147	C₄⋊C₄	—	13	4	no	—
1148	C₄⋊C₄	—	13	4	no	—
1149	C₄⋊C₄	—	26	2	no	—
1150	C₄⋊C₄	—	26	2	no	—
1151	C₄⋊C₄	—	26	2	no	—
1152	C₄⋊C₄	—	52	1	no	—
1153	C₄⋊C₄	—	52	1	no	—
1154	C₄⋊C₄	—	52	1	no	—
1155	C₄⋊C₄	—	52	1	no	—
1156	C₄⋊C₄	—	52	1	no	—
1157	C₄⋊C₄	—	52	1	no	—
1158	C₄⋊C₄	—	52	1	no	—
1159	C₄⋊C₄	—	52	1	no	—
1160	C₄⋊C₄	—	52	1	no	—
1161	C₄⋊C₄	—	52	1	no	—
1162	C₄⋊C₄	—	52	1	no	—
1163	C₄⋊C₄	—	52	1	no	—
1164	C₄⋊C₄	—	52	1	no	—
1165	C₄⋊C₄	—	52	1	no	—
1166	C₄⋊C₄	—	52	1	no	—
1167	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	13	4	no	—
1175	C₂²⋊C₄	—	13	4	no	—
1176	C₂²⋊C₄	—	13	4	no	—
1177	C₂²⋊C₄	—	13	4	no	—
1178	C₂²⋊C₄	—	26	2	no	—
1179	C₂²⋊C₄	—	26	2	no	—
1180	C₂²⋊C₄	—	26	2	no	—
1181	C₂²⋊C₄	—	52	1	no	—
1182	C₂²⋊C₄	—	52	1	no	—
1183	C₂²⋊C₄	—	52	1	no	—
1184	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1185	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1186	C₄²	—	4	1	no	—
1187	C₄²	—	4	1	no	—
1188	C₄²	—	13	4	no	—
1189	C₄²	—	13	4	no	—
1190	C₄²	—	26	2	no	—
1191	C₄²	—	26	2	no	—
1192	C₄²	—	26	2	no	—
1193	C₄²	—	26	2	no	—
1194	C₄²	—	52	1	no	—
1195	C₄²	—	52	1	no	—
1196	C₄²	—	52	1	no	—
1197	C₄²	—	52	1	no	—
1198	C₄²	—	52	1	no	—
1199	C₄²	—	52	1	no	—
1200	C₄²	—	52	1	no	—
1201	C₄²	—	52	1	no	—
1202	C₄²	—	52	1	no	—
1203	C₄²	—	52	1	no	—
1204	C₄²	—	52	1	no	—
1205	C₄²	—	52	1	no	—
1206	C₄²	—	52	1	no	—
1207	C₄²	—	52	1	no	—
1208	C₄²	—	52	1	no	—
1209	C₄²	—	52	1	no	—
1210	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1211	C₁₃	#34486	1	1	yes	characteristic, complemented, Sylow
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1223	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1224	C₂³	#88257	1	2	yes	—
1225	C₂³	#88257	1	2	yes	—
1226	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1227	Q₈	—	52	4	no	—
1228	Q₈	—	52	4	no	—
1229	Q₈	—	52	4	no	—
1230	D₄	—	2	8	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	4	4	no	—
1268	C₂×C₄	—	8	2	no	—
1269	C₂×C₄	—	13	2	no	—
1270	C₂×C₄	—	13	2	no	—
1271	C₂×C₄	—	13	2	no	—
1272	C₂×C₄	—	13	2	no	—
1273	C₂×C₄	—	13	2	no	—
1274	C₂×C₄	—	13	2	no	—
1275	C₂×C₄	—	13	2	no	—
1276	C₂×C₄	—	13	2	no	—
1277	C₂×C₄	—	13	2	no	—
1278	C₂×C₄	—	26	1	no	—
1279	C₂×C₄	—	26	1	no	—
1280	C₂×C₄	—	26	1	no	—
1281	C₂×C₄	—	26	1	no	—
1282	C₂×C₄	—	26	1	no	—
1283	C₂×C₄	—	26	1	no	—
1284	C₂×C₄	—	26	1	no	—
1285	C₂×C₄	—	26	1	no	—
1286	C₂×C₄	—	26	1	no	—
1287	C₂×C₄	—	26	1	no	—
1288	C₂×C₄	—	26	1	no	—
1289	C₂×C₄	—	26	1	no	—
1290	C₂×C₄	—	26	1	no	—
1291	C₂×C₄	—	26	1	no	—
1292	C₂×C₄	—	26	1	no	—
1293	C₂×C₄	—	26	1	no	—
1294	C₂×C₄	—	26	1	no	—
1295	C₂×C₄	—	26	1	no	—
1296	C₂×C₄	—	26	1	no	—
1297	C₂×C₄	—	26	1	no	—
1298	C₂×C₄	—	26	1	no	—
1299	C₂×C₄	—	26	1	no	—
1300	C₂×C₄	—	26	1	no	—
1301	C₂×C₄	—	26	1	no	—
1302	C₂×C₄	—	26	1	no	—
1303	C₂×C₄	—	26	1	no	—
1304	C₂×C₄	—	26	1	no	—
1305	C₂×C₄	—	26	1	no	—
1306	C₂×C₄	—	26	1	no	—
1307	C₂×C₄	—	26	1	no	—
1308	C₂×C₄	—	26	1	no	—
1309	C₂×C₄	—	26	1	no	—
1310	C₂×C₄	—	26	1	no	—
1311	C₂×C₄	—	26	1	no	—
1312	C₂×C₄	—	26	1	no	—
1313	C₂×C₄	—	26	1	no	—
1314	C₂×C₄	—	26	1	no	—
1315	C₂×C₄	—	26	1	no	—
1316	C₂×C₄	—	26	1	no	—
1317	C₂×C₄	—	52	4	no	—
1318	C₂×C₄	—	52	4	no	—
1319	C₂×C₄	—	52	4	no	—
1320	C₂×C₄	—	52	4	no	—
1321	C₂×C₄	—	52	4	no	—
1322	C₂×C₄	—	104	2	no	—
1323	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1324	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1325	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1326	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1327	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	2	no	—
1334	C₂²	—	2	2	no	—
1335	C₂²	—	2	2	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	#11719221	1	4	yes	—
1342	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1343	C₂²	C₂×#88257	1	1	yes	characteristic
1344	C₂²	C₂×#88257	1	1	yes	characteristic
1345	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1346	C₂²	#11719650	1	1	yes	characteristic
1347	C₂²	#11719650	1	1	yes	characteristic
1348	C₂²	#11719652	1	1	yes	characteristic
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	4	1	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	26	2	no	—
1363	C₄	—	26	2	no	—
1364	C₄	—	26	2	no	—
1365	C₄	—	26	2	no	—
1366	C₄	—	26	2	no	—
1367	C₄	—	26	2	no	—
1368	C₄	—	26	2	no	—
1369	C₄	—	26	2	no	—
1370	C₄	—	26	2	no	—
1371	C₄	—	52	1	no	—
1372	C₄	—	52	1	no	—
1373	C₄	—	52	1	no	—
1374	C₄	—	52	1	no	—
1375	C₄	—	52	1	no	—
1376	C₄	—	52	1	no	—
1377	C₄	—	52	1	no	—
1378	C₂	—	2	4	no	—
1379	C₂	—	4	2	no	—
1380	C₂	C₂×#11719221	1	1	yes	characteristic
1381	C₂	#13128036	1	1	yes	characteristic
1382	C₂	#13128040	1	1	yes	characteristic
1383	C₂	#13129042	1	1	yes	characteristic
1384	C₂	#13129124	1	1	yes	characteristic
1385	C₂	#13129286	1	1	yes	characteristic
1386	C₂	#13129462	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2318	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×D₄×C₁₃	C₂³
hypercenter	#2318	D₁₃
hypocenter	C₁₃	#34486
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2318

Complements

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

N	H ≅ G/N	type
2. #13118021	C₂	semidirect
3. #13118014	C₂	semidirect
4. #13118004	C₂	semidirect
5. #13117996	C₂	semidirect
6. #13117940	C₂	semidirect
7. #13117917	C₂	semidirect
8. #13117917	C₂	semidirect
9. #13117866	C₂	semidirect
10. #13117839	C₂	semidirect
11. #13117803	C₂	semidirect
15. #13117714	C₂	semidirect
16. #13117700	C₂	semidirect
17. #13117639	C₂	semidirect
18. #13117637	C₂	semidirect
19. #13117593	C₂	semidirect
20. #13117586	C₂	semidirect
21. #13117569	C₂	semidirect
22. #13117567	C₂	semidirect
23. #13117551	C₂	semidirect
24. #13117514	C₂	semidirect
25. #13117486	C₂	semidirect
27. #13117438	C₂	semidirect
28. #13117368	C₂	semidirect
30. C₂×#11718316	C₂	semidirect
42. #11719244	C₄	semidirect
245. #88178	C₂×C₄	semidirect
247. C₂×#6101	C₂×C₄	semidirect
293. #88144	C₂×C₄	semidirect
294. #88142	C₂×C₄	semidirect
298. #88132	C₂×C₄	semidirect
299. #88132	C₂×C₄	semidirect
301. #88124	C₂×C₄	semidirect
303. C₄×Dic₂₆	C₂×C₄	semidirect
1211. C₁₃	#34486	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719244	2
#13118021	2
#13118014	2
#13118004	2
#13117996	2
#13117940	2
#13117917	2
#13117866	2
#13117839	2
#13117803	2
#13117774	2
#13117765	2
#13117714	2
#13117700	2
#13117639	2
#13117637	2
#13117593	2
#13117586	2
#13117569	2
#13117567	2
#13117551	2
#13117514	2
#13117486	2
#13117462	2
#13117438	2
#13117368	2
#13117276	2
C₂×#11718316	2
C₁₃×#2318	2
#34486	13