Subgroups — D₁₃×#3543 #16770502

Order 3328.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129170	C₂	1	1	yes	maximal, characteristic, complemented
2	#13129169	C₂	1	1	yes	maximal, characteristic, complemented
3	#13129168	C₂	1	4	yes	maximal, complemented
4	#13129167	C₂	1	1	yes	maximal, characteristic, complemented
5	#13129166	C₂	1	2	yes	maximal, complemented
6	#13129165	C₂	1	4	yes	maximal, complemented
7	#13129164	C₂	1	4	yes	maximal, complemented
8	#13129163	C₂	1	4	yes	maximal, complemented
9	#13129162	C₂	1	4	yes	maximal, complemented
10	#13129161	C₂	1	4	yes	maximal, complemented
11	#13129160	C₂	1	2	yes	maximal, complemented
12	D₁₃×#560	C₂	1	4	yes	maximal, complemented
13	D₁₃×#559	C₂	1	1	yes	maximal, characteristic, complemented
14	D₁₃×#550	C₂	1	2	yes	maximal, complemented
15	D₁₃×#546	C₂	1	4	yes	maximal, complemented
16	D₄²×D₁₃	C₂	1	4	yes	maximal, complemented
17	D₄²×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#540	C₂	1	4	yes	maximal, complemented
19	D₁₃×#535	C₂	1	4	yes	maximal, complemented
20	D₁₃×#534	C₂	1	4	yes	maximal, complemented
21	C₂×D₁₃×#127	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#529	C₂	1	2	yes	maximal, complemented
23	C₁₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
27	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
28	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
29	C₁₃×#560	C₂²	1	4	yes	complemented
30	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#550	C₂²	1	2	yes	complemented
32	C₁₃×#546	C₂²	1	4	yes	complemented
33	D₄²×C₁₃	C₂²	1	4	yes	complemented
34	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#540	C₂²	1	4	yes	complemented
36	C₁₃×#535	C₂²	1	4	yes	complemented
37	C₁₃×#534	C₂²	1	4	yes	complemented
38	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#529	C₂²	1	2	yes	complemented
40	#11719539	C₂²	1	4	yes	complemented
41	#11719535	C₂²	1	4	yes	complemented
42	#11719534	C₂²	1	4	yes	complemented
43	#11719511	C₂²	1	4	yes	complemented
44	#11719510	C₂²	1	4	yes	complemented
45	#11719509	C₂²	1	4	yes	complemented
46	#11719509	C₂²	1	4	yes	complemented
47	C₂×#88194	C₂²	1	4	yes	complemented
48	C₂×#88194	C₂²	1	2	yes	complemented
49	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
50	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
51	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
52	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
53	#11719425	C₂²	1	4	yes	complemented
54	#11719424	C₂²	1	4	yes	complemented
55	#11719423	C₂²	1	2	yes	complemented
56	#11719423	C₂²	1	4	yes	complemented
57	#11719422	C₂²	1	4	yes	complemented
58	#11719422	C₂²	1	1	yes	characteristic, complemented
59	#11719420	C₂²	1	4	yes	complemented
60	#11719420	C₂²	1	4	yes	complemented
61	D₁₃×#127	C₂²	1	1	yes	characteristic
62	D₁₃×#127	C₂²	1	4	yes	complemented
63	D₁₃×#127	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×#127	C₂²	1	4	yes	complemented
65	D₁₃×#127	C₂²	1	2	yes	complemented
66	D₁₃×#127	C₂²	1	1	yes	characteristic, complemented
67	D₁₃×#127	C₂²	1	4	yes	complemented
68	D₁₃×#127	C₂²	1	2	yes	complemented
69	D₁₃×#127	C₂²	1	1	yes	characteristic, complemented
70	#11719418	C₂²	1	1	yes	characteristic, complemented
71	#11719416	C₂²	1	8	yes	complemented
72	#11719411	C₂²	1	4	yes	complemented
73	D₁₃×#126	C₂²	1	4	yes	complemented
74	#11719403	C₂²	1	4	yes	complemented
75	#11719396	C₂²	1	2	yes	complemented
76	D₁₃×#125	C₂²	1	2	yes	complemented
77	#11719386	C₂²	1	4	yes	complemented
78	#11719385	C₂²	1	2	yes	complemented
79	#11719381	C₂²	1	4	yes	complemented
80	#11719379	C₂²	1	4	yes	complemented
81	#11719379	C₂²	1	4	yes	complemented
82	D₁₃×#124	C₂²	1	4	yes	complemented
83	D₁₃×#124	C₂²	1	2	yes	complemented
84	#11719371	C₂²	1	4	yes	complemented
85	#11719371	C₂²	1	8	yes	complemented
86	#11719369	C₂²	1	4	yes	complemented
87	#11719368	C₂²	1	8	yes	complemented
88	#11719368	C₂²	1	8	yes	complemented
89	#11719359	C₂²	1	8	yes	complemented
90	#11719358	C₂²	1	8	yes	complemented
91	#11719358	C₂²	1	4	yes	complemented
92	#11719358	C₂²	1	4	yes	complemented
93	D₁₃×#123	C₂²	1	8	yes	complemented
94	D₁₃×#123	C₂²	1	4	yes	complemented
95	D₁₃×#123	C₂²	1	4	yes	complemented
96	D₁₃×#123	C₂²	1	4	yes	complemented
97	#11719354	C₂²	1	4	yes	complemented
98	#11719335	C₂²	1	4	yes	complemented
99	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
100	#11719329	C₂²	1	2	yes	complemented
101	#11719325	C₂²	1	8	yes	complemented
102	#11719325	C₂²	1	8	yes	complemented
103	#11719325	C₂²	1	8	yes	complemented
104	#11719324	C₂²	1	4	yes	complemented
105	#11719324	C₂²	1	4	yes	complemented
106	#11719320	C₂²	1	8	yes	complemented
107	#11719320	C₂²	1	8	yes	complemented
108	#11719317	C₂²	1	4	yes	complemented
109	#11719315	C₂²	1	8	yes	complemented
110	#11719314	C₂²	1	8	yes	complemented
111	#11719314	C₂²	1	4	yes	complemented
112	#11719314	C₂²	1	4	yes	complemented
113	#11719314	C₂²	1	4	yes	complemented
114	#11719312	C₂²	1	8	yes	complemented
115	#11719312	C₂²	1	8	yes	complemented
116	#11719310	C₂²	1	8	yes	complemented
117	#11719310	C₂²	1	8	yes	complemented
118	D₁₃×#121	C₂²	1	2	yes	—
119	D₁₃×#121	C₂²	1	4	yes	complemented
120	D₁₃×#121	C₂²	1	4	yes	complemented
121	D₁₃×#121	C₂²	1	8	yes	complemented
122	D₁₃×#121	C₂²	1	8	yes	complemented
123	D₁₃×#121	C₂²	1	8	yes	complemented
124	D₁₃×#121	C₂²	1	8	yes	complemented
125	#11719305	C₂²	1	2	yes	complemented
126	#11719304	C₂²	1	4	yes	complemented
127	#11719304	C₂²	1	8	yes	complemented
128	#11719300	C₂²	1	8	yes	complemented
129	#11719300	C₂²	1	4	yes	complemented
130	#11719297	C₂²	1	8	yes	complemented
131	#11719297	C₂²	1	8	yes	complemented
132	#11719296	C₂²	1	8	yes	complemented
133	#11719295	C₂²	1	8	yes	complemented
134	#11719295	C₂²	1	8	yes	complemented
135	#11719295	C₂²	1	4	yes	complemented
136	#11719294	C₂²	1	8	yes	complemented
137	#11719294	C₂²	1	4	yes	complemented
138	#11719294	C₂²	1	4	yes	complemented
139	D₁₃×#120	C₂²	1	8	yes	complemented
140	D₁₃×#120	C₂²	1	4	yes	complemented
141	D₁₃×#120	C₂²	1	8	yes	complemented
142	D₁₃×#120	C₂²	1	4	yes	complemented
143	#11719290	C₂²	1	2	yes	complemented
144	#11719285	C₂²	1	2	yes	complemented
145	#11719282	C₂²	1	2	yes	complemented
146	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
147	#11719267	C₂²	1	4	yes	complemented
148	#11719267	C₂²	1	4	yes	complemented
149	#11719264	C₂²	1	4	yes	complemented
150	#11719262	C₂²	1	2	yes	complemented
151	#11719259	C₂²	1	4	yes	complemented
152	#11719258	C₂²	1	4	yes	complemented
153	#11719258	C₂²	1	2	yes	complemented
154	#11719255	C₂²	1	4	yes	complemented
155	D₄×D₅₂	C₂²	1	2	yes	complemented
156	D₄×D₅₂	C₂²	1	4	yes	complemented
157	D₄×D₅₂	C₂²	1	4	yes	complemented
158	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
159	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
160	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
161	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
162	#11719243	C₂²	1	4	yes	complemented
163	#11719240	C₂²	1	4	yes	complemented
164	#11719233	C₂²	1	4	yes	complemented
165	#11719230	C₂²	1	4	yes	complemented
166	D₁₃×#117	C₂²	1	4	yes	complemented
167	#11719198	C₂²	1	4	yes	complemented
168	#11719195	C₂²	1	8	yes	complemented
169	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
170	#11719184	C₂²	1	2	yes	complemented
171	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₁₃	C₂³	1	4	yes	—
174	C₂⁴×D₁₃	C₂³	1	4	yes	—
175	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
176	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
177	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
178	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
179	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
180	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
181	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
182	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
183	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
184	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
185	#41×D₁₃	—	4	16	no	—
186	C₂×#6131	C₂³	1	4	yes	complemented
187	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
188	C₂×#6129	C₂³	1	4	yes	complemented
189	C₂×#6129	C₂³	1	8	yes	complemented
190	C₂×D₄×D₁₃	—	4	16	no	—
191	C₂×D₄×D₁₃	—	4	16	no	—
192	C₂×D₄×D₁₃	—	4	8	no	—
193	C₂×D₄×D₁₃	—	4	16	no	—
194	C₂×D₄×D₁₃	C₂³	1	4	yes	—
195	C₂×D₄×D₁₃	C₂³	1	2	yes	—
196	C₂×D₄×D₁₃	C₂³	1	4	yes	—
197	C₂×D₄×D₁₃	C₂³	1	4	yes	—
198	C₂×D₄×D₁₃	C₂³	1	8	yes	—
199	C₂×D₄×D₁₃	C₂³	1	8	yes	—
200	C₂×D₄×D₁₃	C₂³	1	2	yes	—
201	C₂×D₄×D₁₃	C₂³	1	8	yes	—
202	C₂×D₄×D₁₃	C₂³	1	8	yes	—
203	C₂×D₄×D₁₃	C₂³	1	4	yes	—
204	C₂×D₄×D₁₃	C₂³	1	2	yes	—
205	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
206	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
207	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
208	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
209	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
210	C₂×D₄×D₁₃	C₂³	1	2	yes	complemented
211	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
212	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
213	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
214	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
215	C₂×D₄×D₁₃	C₂³	1	2	yes	complemented
216	C₂×#6127	C₂³	1	8	yes	complemented
217	C₂×#6127	C₂³	1	4	yes	complemented
218	C₂²×D₅₂	C₂³	1	4	yes	complemented
219	C₂²×D₅₂	C₂³	1	2	yes	complemented
220	C₂²×D₅₂	C₂³	1	4	yes	complemented
221	C₂²×D₅₂	C₂³	1	4	yes	complemented
222	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
223	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
225	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
226	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
227	C₁₃×#127	C₂³	1	1	yes	characteristic
228	C₁₃×#127	C₂³	1	4	yes	complemented
229	C₁₃×#127	C₂³	1	2	yes	complemented
230	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
231	C₁₃×#127	C₂³	1	4	yes	complemented
232	C₁₃×#126	C₂³	1	4	yes	complemented
233	C₁₃×#125	C₂³	1	2	yes	complemented
234	C₁₃×#124	C₂³	1	2	yes	complemented
235	C₁₃×#124	C₂³	1	4	yes	complemented
236	C₁₃×#123	C₂³	1	4	yes	complemented
237	C₁₃×#123	C₂³	1	4	yes	complemented
238	C₁₃×#123	C₂³	1	4	yes	complemented
239	C₁₃×#123	C₂³	1	8	yes	complemented
240	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	8	yes	complemented
243	C₁₃×#121	C₂³	1	4	yes	complemented
244	C₁₃×#121	C₂³	1	8	yes	complemented
245	C₁₃×#121	C₂³	1	8	yes	complemented
246	C₁₃×#121	C₂³	1	4	yes	complemented
247	C₁₃×#121	C₂³	1	8	yes	complemented
248	C₁₃×#120	C₂³	1	8	yes	complemented
249	C₁₃×#120	C₂³	1	4	yes	complemented
250	C₁₃×#120	C₂³	1	4	yes	complemented
251	C₁₃×#120	C₂³	1	8	yes	complemented
252	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
253	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
254	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
255	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
256	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
257	C₁₃×#117	C₂³	1	4	yes	complemented
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic, complemented
260	#88207	C₂³	1	8	yes	complemented
261	#88207	C₂³	1	4	yes	complemented
262	#88207	C₂³	1	8	yes	complemented
263	#88207	C₂³	1	4	yes	complemented
264	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
265	#88201	C₂³	1	4	yes	complemented
266	#88201	C₂³	1	2	yes	complemented
267	#88200	C₂³	1	2	yes	complemented
268	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
269	#88194	C₂³	1	4	yes	—
270	#88194	C₂³	1	2	yes	—
271	#88194	C₂³	1	4	yes	complemented
272	#88194	C₂³	1	4	yes	complemented
273	#88194	C₂³	1	8	yes	complemented
274	#88194	C₂³	1	4	yes	complemented
275	#88194	C₂³	1	4	yes	complemented
276	#88194	C₂³	1	4	yes	complemented
277	#88194	C₂³	1	8	yes	complemented
278	#88194	C₂³	1	8	yes	complemented
279	#88194	C₂³	1	2	yes	complemented
280	#88194	C₂³	1	8	yes	complemented
281	#88194	C₂³	1	2	yes	complemented
282	#88194	C₂³	1	2	yes	complemented
283	#88194	C₂³	1	8	yes	complemented
284	#88193	C₂³	1	4	yes	—
285	#88193	C₂³	1	8	yes	complemented
286	#88193	C₂³	1	8	yes	complemented
287	#88193	C₂³	1	8	yes	complemented
288	#88193	C₂³	1	8	yes	complemented
289	#88193	C₂³	1	8	yes	complemented
290	#88193	C₂³	1	8	yes	complemented
291	#88193	C₂³	1	8	yes	complemented
292	#88193	C₂³	1	8	yes	complemented
293	#88193	C₂³	1	8	yes	complemented
294	#88193	C₂³	1	8	yes	complemented
295	#88192	C₂³	1	2	yes	—
296	#88192	C₂³	1	4	yes	complemented
297	#88192	C₂³	1	4	yes	complemented
298	#88192	C₂³	1	8	yes	complemented
299	#88192	C₂³	1	8	yes	complemented
300	#88192	C₂³	1	8	yes	complemented
301	#88192	C₂³	1	8	yes	complemented
302	#88191	C₂³	1	8	yes	complemented
303	#88191	C₂³	1	4	yes	complemented
304	#88191	C₂³	1	8	yes	complemented
305	#88191	C₂³	1	8	yes	complemented
306	#88191	C₂³	1	8	yes	complemented
307	#88191	C₂³	1	8	yes	complemented
308	#88191	C₂³	1	4	yes	complemented
309	#88191	C₂³	1	8	yes	complemented
310	#88191	C₂³	1	8	yes	complemented
311	#88191	C₂³	1	8	yes	complemented
312	#88190	C₂³	1	2	yes	complemented
313	#88190	C₂³	1	4	yes	complemented
314	#88189	C₂³	1	4	yes	complemented
315	#88189	C₂³	1	8	yes	complemented
316	#88189	C₂³	1	4	yes	complemented
317	#88189	C₂³	1	4	yes	complemented
318	D₄×Dic₁₃	C₂³	1	4	yes	complemented
319	D₄×Dic₁₃	C₂³	1	4	yes	complemented
320	D₄×Dic₁₃	C₂³	1	4	yes	complemented
321	D₄×Dic₁₃	C₂³	1	2	yes	complemented
322	#88184	C₂³	1	2	yes	—
323	#88184	C₂³	1	8	yes	complemented
324	#88184	C₂³	1	8	yes	complemented
325	#88184	C₂³	1	8	yes	complemented
326	#88184	C₂³	1	4	yes	complemented
327	#88184	C₂³	1	4	yes	complemented
328	#88184	C₂³	1	8	yes	complemented
329	#88183	C₂³	1	4	yes	complemented
330	#88183	C₂³	1	8	yes	complemented
331	#88183	C₂³	1	4	yes	complemented
332	#88183	C₂³	1	4	yes	complemented
333	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
334	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
335	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
336	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
337	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
338	C₂×#6103	C₂³	1	8	yes	complemented
339	#88180	C₂³	1	4	yes	complemented
340	#88178	C₂³	1	2	yes	complemented
341	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
342	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
343	#88152	C₂³	1	4	yes	complemented
344	#88152	C₂³	1	4	yes	complemented
345	#88152	C₂³	1	4	yes	complemented
346	#88151	C₂³	1	2	yes	complemented
347	#88150	C₂³	1	4	yes	complemented
348	#88149	C₂³	1	2	yes	—
349	#88149	C₂³	1	8	yes	complemented
350	#88149	C₂³	1	8	yes	complemented
351	#88149	C₂³	1	4	yes	complemented
352	#88149	C₂³	1	4	yes	complemented
353	#88149	C₂³	1	8	yes	complemented
354	#88149	C₂³	1	8	yes	complemented
355	#88148	C₂³	1	4	yes	complemented
356	#88148	C₂³	1	8	yes	complemented
357	#88148	C₂³	1	8	yes	complemented
358	#88148	C₂³	1	8	yes	complemented
359	#88148	C₂³	1	4	yes	complemented
360	#88148	C₂³	1	8	yes	complemented
361	#88147	C₂³	1	2	yes	complemented
362	#88147	C₂³	1	4	yes	complemented
363	#88147	C₂³	1	4	yes	complemented
364	#88147	C₂³	1	4	yes	complemented
365	#88146	C₂³	1	4	yes	complemented
366	#88146	C₂³	1	4	yes	complemented
367	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
368	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
369	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
370	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
371	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
372	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
373	#88144	C₂³	1	2	yes	complemented
374	#88144	C₂³	1	2	yes	complemented
375	#88143	C₂³	1	4	yes	complemented
376	#88143	C₂³	1	4	yes	complemented
377	#88141	C₂³	1	2	yes	complemented
378	#88141	C₂³	1	4	yes	complemented
379	#88140	C₂³	1	4	yes	complemented
380	#88140	C₂³	1	4	yes	complemented
381	#88140	C₂³	1	4	yes	complemented
382	#88140	C₂³	1	8	yes	complemented
383	#88139	C₂³	1	8	yes	complemented
384	#88139	C₂³	1	4	yes	complemented
385	#88139	C₂³	1	4	yes	complemented
386	#88139	C₂³	1	8	yes	complemented
387	#88138	C₂³	1	4	yes	—
388	#88138	C₂³	1	8	yes	complemented
389	#88138	C₂³	1	8	yes	complemented
390	#88138	C₂³	1	8	yes	complemented
391	#88138	C₂³	1	8	yes	complemented
392	#88138	C₂³	1	8	yes	complemented
393	#88138	C₂³	1	8	yes	complemented
394	#88138	C₂³	1	8	yes	complemented
395	#88138	C₂³	1	8	yes	complemented
396	#88138	C₂³	1	8	yes	complemented
397	#88138	C₂³	1	8	yes	complemented
398	#88137	C₂³	1	8	yes	complemented
399	#88137	C₂³	1	4	yes	complemented
400	#88137	C₂³	1	4	yes	complemented
401	#88137	C₂³	1	8	yes	complemented
402	#88137	C₂³	1	8	yes	complemented
403	#88137	C₂³	1	8	yes	complemented
404	#88136	C₂³	1	8	yes	complemented
405	#88136	C₂³	1	4	yes	complemented
406	#88136	C₂³	1	4	yes	complemented
407	#88136	C₂³	1	8	yes	complemented
408	#88136	C₂³	1	8	yes	complemented
409	#88136	C₂³	1	8	yes	complemented
410	#88136	C₂³	1	8	yes	complemented
411	#88136	C₂³	1	8	yes	complemented
412	#88136	C₂³	1	8	yes	complemented
413	#88136	C₂³	1	8	yes	complemented
414	#88135	C₂³	1	4	yes	complemented
415	#88135	C₂³	1	4	yes	complemented
416	#88135	C₂³	1	4	yes	complemented
417	#88135	C₂³	1	8	yes	complemented
418	#88135	C₂³	1	8	yes	complemented
419	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
420	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
421	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
422	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
423	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
424	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
425	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
426	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
427	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
428	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
429	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
430	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
431	#88133	C₂³	1	4	yes	complemented
432	#88133	C₂³	1	4	yes	complemented
433	#88133	C₂³	1	4	yes	complemented
434	#88132	C₂³	1	4	yes	complemented
435	#88131	C₂³	1	4	yes	complemented
436	#88131	C₂³	1	4	yes	complemented
437	#88130	C₂³	1	4	yes	complemented
438	#88129	C₂³	1	2	yes	complemented
439	#88129	C₂³	1	4	yes	complemented
440	#88128	C₂³	1	1	yes	characteristic
441	#88128	C₂³	1	4	yes	complemented
442	#88128	C₂³	1	1	yes	characteristic, complemented
443	#88128	C₂³	1	2	yes	complemented
444	#88128	C₂³	1	4	yes	complemented
445	C₄×D₅₂	C₂³	1	2	yes	complemented
446	C₄×D₅₂	C₂³	1	4	yes	complemented
447	C₄×D₅₂	C₂³	1	4	yes	complemented
448	C₄×D₅₂	C₂³	1	4	yes	complemented
449	#88126	C₂³	1	4	yes	complemented
450	#88126	C₂³	1	4	yes	complemented
451	C₄²×D₁₃	C₂³	1	2	yes	—
452	C₄²×D₁₃	C₂³	1	1	yes	characteristic
453	C₄²×D₁₃	C₂³	1	1	yes	characteristic
454	C₄²×D₁₃	C₂³	1	4	yes	—
455	C₄²×D₁₃	C₂³	1	2	yes	complemented
456	C₄²×D₁₃	C₂³	1	1	yes	characteristic, complemented
457	C₄²×D₁₃	C₂³	1	1	yes	characteristic, complemented
458	#88124	C₂³	1	2	yes	complemented
459	C₄×Dic₂₆	C₂³	1	2	yes	complemented
460	C₄×Dic₂₆	C₂³	1	4	yes	complemented
461	C₂×#3543	—	13	1	no	maximal, Sylow
462	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
463	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
464	C₂³×D₁₃	—	2	16	no	—
465	C₂³×D₁₃	—	4	16	no	—
466	C₂³×D₁₃	—	4	16	no	—
467	C₂³×D₁₃	—	4	8	no	—
468	C₂³×D₁₃	C₂⁴	1	4	yes	—
469	C₂³×D₁₃	C₂⁴	1	4	yes	—
470	C₂³×D₁₃	C₂⁴	1	4	yes	—
471	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
472	C₂³×D₁₃	C₂⁴	1	4	yes	—
473	C₂³×D₁₃	C₂⁴	1	4	yes	—
474	C₂³×D₁₃	C₂⁴	1	4	yes	—
475	C₂³×D₁₃	C₂⁴	1	4	yes	—
476	C₂³×D₁₃	C₂⁴	1	8	yes	—
477	C₁₃×#41	—	4	8	no	—
478	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
479	C₂×D₄×C₁₃	—	4	8	no	—
480	C₂×D₄×C₁₃	—	4	8	no	—
481	C₂×D₄×C₁₃	—	4	4	no	—
482	C₂×D₄×C₁₃	—	4	8	no	—
483	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
485	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
486	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
487	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
488	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
489	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
490	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
491	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
492	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
493	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
498	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
499	C₂×C₂²⋊D₁₃	—	4	16	no	—
500	C₂×C₂²⋊D₁₃	—	4	16	no	—
501	C₂×C₂²⋊D₁₃	—	4	8	no	—
502	C₂×C₂²⋊D₁₃	—	4	8	no	—
503	C₂×C₂²⋊D₁₃	—	4	8	no	—
504	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
505	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
506	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
508	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
509	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
510	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
511	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
512	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
513	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
514	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
515	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
516	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
517	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
518	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
519	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
520	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
521	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
522	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
523	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
525	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
526	#6131	—	4	8	no	—
527	Q₈×D₁₃	—	2	8	no	—
528	#6129	—	4	8	no	—
529	#6129	—	4	16	no	—
530	D₄×D₁₃	—	2	16	no	—
531	D₄×D₁₃	—	2	8	no	—
532	D₄×D₁₃	—	2	16	no	—
533	D₄×D₁₃	—	2	16	no	—
534	D₄×D₁₃	—	4	8	no	—
535	D₄×D₁₃	—	4	8	no	—
536	D₄×D₁₃	—	4	8	no	—
537	D₄×D₁₃	—	4	8	no	—
538	D₄×D₁₃	—	4	16	no	—
539	D₄×D₁₃	—	4	16	no	—
540	D₄×D₁₃	—	4	16	no	—
541	D₄×D₁₃	—	4	16	no	—
542	D₄×D₁₃	—	4	4	no	—
543	D₄×D₁₃	—	4	8	no	—
544	D₄×D₁₃	—	4	4	no	—
545	D₄×D₁₃	—	4	16	no	—
546	D₄×D₁₃	—	4	4	no	—
547	D₄×D₁₃	—	4	8	no	—
548	D₄×D₁₃	—	4	4	no	—
549	D₄×D₁₃	—	4	16	no	—
550	D₄×D₁₃	—	4	16	no	—
551	D₄×D₁₃	—	4	16	no	—
552	#6127	—	4	16	no	—
553	#6127	—	4	8	no	—
554	C₂×D₅₂	—	4	8	no	—
555	C₂×D₅₂	—	4	8	no	—
556	C₂×D₅₂	—	4	8	no	—
557	C₂×D₅₂	—	4	4	no	—
558	C₂×D₅₂	C₂⁴	1	4	yes	—
559	C₂×D₅₂	C₂⁴	1	4	yes	—
560	C₂×D₅₂	C₂⁴	1	2	yes	—
561	C₂×D₅₂	C₂⁴	1	4	yes	—
562	C₂×D₅₂	C₂⁴	1	2	yes	—
563	C₂×D₅₂	C₂⁴	1	4	yes	—
564	C₂×D₅₂	C₂⁴	1	8	yes	—
565	C₂×D₅₂	C₂⁴	1	2	yes	—
566	C₂×D₅₂	C₂⁴	1	8	yes	—
567	C₂×D₅₂	C₂⁴	1	8	yes	—
568	C₂×D₅₂	C₂⁴	1	8	yes	—
569	C₂×C₄×D₁₃	—	2	4	no	—
570	C₂×C₄×D₁₃	—	2	8	no	—
571	C₂×C₄×D₁₃	—	2	16	no	—
572	C₂×C₄×D₁₃	—	4	8	no	—
573	C₂×C₄×D₁₃	—	4	16	no	—
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
576	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
578	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
579	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
580	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
581	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
584	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
585	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
586	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
587	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
588	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
589	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
590	C₂×Dic₂₆	C₂⁴	1	2	yes	—
591	C₂×Dic₂₆	C₂⁴	1	4	yes	—
592	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
593	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
596	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
598	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
599	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
600	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
605	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
607	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₄²×C₁₃	C₂⁴	1	4	yes	—
609	C₄²×C₁₃	C₂⁴	1	2	yes	—
610	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
612	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
613	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
614	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
615	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
616	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
617	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
618	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
619	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
620	#6103	C₂⁴	1	4	yes	—
621	#6103	C₂⁴	1	4	yes	—
622	#6103	C₂⁴	1	4	yes	—
623	#6103	C₂⁴	1	4	yes	—
624	#6103	C₂⁴	1	4	yes	—
625	#6103	C₂⁴	1	4	yes	—
626	#6103	C₂⁴	1	4	yes	—
627	#6103	C₂⁴	1	8	yes	—
628	#6103	C₂⁴	1	8	yes	—
629	#6103	C₂⁴	1	4	yes	—
630	#6103	C₂⁴	1	8	yes	—
631	#6103	C₂⁴	1	8	yes	—
632	#6103	C₂⁴	1	4	yes	—
633	#6103	C₂⁴	1	8	yes	—
634	#6103	C₂⁴	1	4	yes	—
635	#6103	C₂⁴	1	8	yes	—
636	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
637	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
638	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
639	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
640	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
641	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
642	#6101	C₂⁴	1	4	yes	—
643	#6101	C₂⁴	1	4	yes	—
644	#6101	C₂⁴	1	4	yes	—
645	#6101	C₂⁴	1	4	yes	—
646	#6101	C₂⁴	1	4	yes	—
647	#6101	C₂⁴	1	4	yes	—
648	#6101	C₂⁴	1	4	yes	—
649	#6101	C₂⁴	1	4	yes	—
650	#6101	C₂⁴	1	4	yes	—
651	#6101	C₂⁴	1	4	yes	—
652	C₄×Dic₁₃	C₂⁴	1	2	yes	—
653	C₄×Dic₁₃	C₂⁴	1	4	yes	—
654	C₄×Dic₁₃	C₂⁴	1	2	yes	—
655	C₄×Dic₁₃	C₂⁴	1	2	yes	—
656	C₄×Dic₁₃	C₂⁴	1	2	yes	—
657	C₄×Dic₁₃	C₂⁴	1	2	yes	—
658	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
660	C₄×Dic₁₃	C₂⁴	1	4	yes	—
661	C₄×Dic₁₃	C₂⁴	1	4	yes	—
662	#3543	—	13	4	no	—
663	#3543	—	13	1	no	—
664	#3543	—	13	2	no	—
665	#3543	—	13	4	no	—
666	#3543	—	13	4	no	—
667	#3543	—	13	1	no	—
668	#3543	—	13	4	no	—
669	#3543	—	13	4	no	—
670	#3543	—	13	4	no	—
671	#3543	—	13	1	no	—
672	#3543	—	13	2	no	—
673	#3543	D₁₃	1	1	yes	characteristic, direct product factor
674	C₂×#560	—	13	4	no	—
675	C₂×#559	—	13	1	no	—
676	C₂×#550	—	13	2	no	—
677	C₂×#546	—	13	4	no	—
678	C₂×D₄²	—	13	4	no	—
679	C₂×D₄²	—	13	1	no	—
680	C₂×#540	—	13	4	no	—
681	C₂×#535	—	13	4	no	—
682	C₂×#534	—	13	4	no	—
683	C₂²×#127	—	13	1	no	—
684	C₂×#529	—	13	2	no	—
685	C₂³×C₁₃	—	2	8	no	—
686	C₂³×C₁₃	—	4	8	no	—
687	C₂³×C₁₃	—	4	8	no	—
688	C₂³×C₁₃	—	4	4	no	—
689	C₂³×C₁₃	C₂⁵	1	4	yes	—
690	C₂³×C₁₃	C₂⁵	1	4	yes	—
691	C₂³×C₁₃	C₂⁵	1	4	yes	—
692	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
693	C₂²×D₁₃	—	2	4	no	—
694	C₂²×D₁₃	—	2	8	no	—
695	C₂²×D₁₃	—	2	8	no	—
696	C₂²×D₁₃	—	2	16	no	—
697	C₂²×D₁₃	—	2	8	no	—
698	C₂²×D₁₃	—	2	8	no	—
699	C₂²×D₁₃	—	2	8	no	—
700	C₂²×D₁₃	—	2	16	no	—
701	C₂²×D₁₃	—	2	8	no	—
702	C₂²×D₁₃	—	2	8	no	—
703	C₂²×D₁₃	—	2	8	no	—
704	C₂²×D₁₃	—	4	8	no	—
705	C₂²×D₁₃	—	4	8	no	—
706	C₂²×D₁₃	—	4	4	no	—
707	C₂²×D₁₃	—	4	8	no	—
708	C₂²×D₁₃	—	4	8	no	—
709	C₂²×D₁₃	—	4	8	no	—
710	C₂²×D₁₃	—	4	8	no	—
711	C₂²×D₁₃	—	4	8	no	—
712	C₂²×D₁₃	—	8	32	no	—
713	C₂²×D₁₃	—	8	32	no	—
714	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
715	C₂²×D₁₃	C₂⁵	1	4	yes	—
716	C₂²×D₁₃	C₂⁵	1	4	yes	—
717	C₂²×D₁₃	C₂⁵	1	4	yes	—
718	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
719	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
720	Q₈×C₁₃	—	2	4	no	—
721	D₄×C₁₃	—	2	8	no	—
722	D₄×C₁₃	—	2	4	no	—
723	D₄×C₁₃	—	2	8	no	—
724	D₄×C₁₃	—	2	8	no	—
725	D₄×C₁₃	—	4	8	no	—
726	D₄×C₁₃	—	4	8	no	—
727	D₄×C₁₃	—	4	2	no	—
728	D₄×C₁₃	—	4	4	no	—
729	D₄×C₁₃	—	4	2	no	—
730	D₄×C₁₃	—	4	8	no	—
731	D₄×C₁₃	—	4	8	no	—
732	C₂×C₄×C₁₃	—	2	2	no	—
733	C₂×C₄×C₁₃	—	2	4	no	—
734	C₂×C₄×C₁₃	—	2	8	no	—
735	C₂×C₄×C₁₃	—	4	4	no	—
736	C₂×C₄×C₁₃	—	4	8	no	—
737	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
738	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
739	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
740	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
741	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
742	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
743	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
744	C₂²⋊D₁₃	—	2	8	no	—
745	C₂²⋊D₁₃	—	2	8	no	—
746	C₂²⋊D₁₃	—	2	16	no	—
747	C₂²⋊D₁₃	—	2	8	no	—
748	C₂²⋊D₁₃	—	2	16	no	—
749	C₂²⋊D₁₃	—	4	8	no	—
750	C₂²⋊D₁₃	—	4	8	no	—
751	C₂²⋊D₁₃	—	4	8	no	—
752	C₂²⋊D₁₃	—	4	8	no	—
753	C₂²⋊D₁₃	—	4	8	no	—
754	C₂²⋊D₁₃	—	4	4	no	—
755	C₂²⋊D₁₃	—	4	4	no	—
756	C₂²⋊D₁₃	—	4	8	no	—
757	C₂²⋊D₁₃	—	4	4	no	—
758	C₂²⋊D₁₃	—	4	4	no	—
759	C₂²⋊D₁₃	—	4	8	no	—
760	C₂²⋊D₁₃	—	4	8	no	—
761	C₂×Dic₁₃	—	2	2	no	—
762	C₂×Dic₁₃	—	2	8	no	—
763	C₂×Dic₁₃	—	2	4	no	—
764	C₂×Dic₁₃	—	4	8	no	—
765	C₂×Dic₁₃	—	4	4	no	—
766	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
767	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
768	C₂×Dic₁₃	C₂⁵	1	2	yes	—
769	C₂×Dic₁₃	C₂⁵	1	4	yes	—
770	C₂×Dic₁₃	C₂⁵	1	4	yes	—
771	C₂×Dic₁₃	C₂⁵	1	4	yes	—
772	C₂×Dic₁₃	C₂⁵	1	2	yes	—
773	D₅₂	—	2	8	no	—
774	D₅₂	—	2	8	no	—
775	D₅₂	—	2	4	no	—
776	D₅₂	—	2	8	no	—
777	D₅₂	—	4	8	no	—
778	D₅₂	—	4	8	no	—
779	D₅₂	—	4	2	no	—
780	D₅₂	—	4	4	no	—
781	D₅₂	—	4	2	no	—
782	D₅₂	—	4	8	no	—
783	D₅₂	—	4	8	no	—
784	C₄×D₁₃	—	2	8	no	—
785	C₄×D₁₃	—	2	2	no	—
786	C₄×D₁₃	—	2	2	no	—
787	C₄×D₁₃	—	2	2	no	—
788	C₄×D₁₃	—	2	2	no	—
789	C₄×D₁₃	—	2	4	no	—
790	C₄×D₁₃	—	2	8	no	—
791	C₄×D₁₃	—	2	8	no	—
792	C₄×D₁₃	—	2	4	no	—
793	C₄×D₁₃	—	2	8	no	—
794	C₄×D₁₃	—	2	8	no	—
795	C₄×D₁₃	—	2	4	no	—
796	C₄×D₁₃	—	4	8	no	—
797	C₄×D₁₃	—	4	8	no	—
798	C₄×D₁₃	—	4	8	no	—
799	C₄×D₁₃	H(5,𝔽₂)	1	8	yes	—
800	Dic₂₆	—	2	4	no	—
801	Dic₂₆	—	2	8	no	—
802	C₂²×#41	—	13	4	no	—
803	C₂³×D₄	—	13	2	no	—
804	C₂³×D₄	—	13	4	no	—
805	C₂³×D₄	—	13	4	no	—
806	C₂³×D₄	—	13	4	no	—
807	#560	—	13	4	no	—
808	#560	—	13	8	no	—
809	#560	—	13	4	no	—
810	#560	—	13	8	no	—
811	#560	—	13	8	no	—
812	#560	—	13	8	no	—
813	#560	—	13	8	no	—
814	#560	—	13	8	no	—
815	#560	—	13	4	no	—
816	#560	C₂×D₁₃	1	4	yes	complemented
817	#559	—	13	1	no	—
818	#559	—	13	4	no	—
819	#559	—	13	4	no	—
820	#559	—	13	2	no	—
821	#559	—	13	4	no	—
822	#559	C₂×D₁₃	1	1	yes	characteristic, complemented
823	#550	—	13	4	no	—
824	#550	—	13	4	no	—
825	#550	—	13	2	no	—
826	#550	—	13	4	no	—
827	#550	—	13	8	no	—
828	#550	—	13	2	no	—
829	#550	—	13	4	no	—
830	#550	—	13	2	no	—
831	#550	C₂×D₁₃	1	2	yes	complemented
832	#546	—	13	4	no	—
833	#546	—	13	4	no	—
834	#546	—	13	4	no	—
835	#546	—	13	8	no	—
836	#546	—	13	4	no	—
837	#546	—	13	8	no	—
838	#546	—	13	4	no	—
839	#546	—	13	8	no	—
840	#546	—	13	4	no	—
841	#546	—	13	4	no	—
842	#546	—	13	8	no	—
843	#546	C₂×D₁₃	1	4	yes	complemented
844	D₄²	—	13	8	no	—
845	D₄²	—	13	4	no	—
846	D₄²	—	13	4	no	—
847	D₄²	—	13	4	no	—
848	D₄²	—	13	1	no	—
849	D₄²	—	13	4	no	—
850	D₄²	—	13	4	no	—
851	D₄²	—	13	4	no	—
852	D₄²	—	13	4	no	—
853	D₄²	—	13	8	no	—
854	D₄²	—	13	8	no	—
855	D₄²	—	13	8	no	—
856	D₄²	—	13	4	no	—
857	D₄²	—	13	4	no	—
858	D₄²	—	13	2	no	—
859	D₄²	—	13	4	no	—
860	D₄²	C₂×D₁₃	1	4	yes	complemented
861	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
862	#540	—	13	4	no	—
863	#540	—	13	4	no	—
864	#540	—	13	8	no	—
865	#540	—	13	8	no	—
866	#540	—	13	8	no	—
867	#540	—	13	8	no	—
868	#540	—	13	4	no	—
869	#540	—	13	4	no	—
870	#540	—	13	4	no	—
871	#540	—	13	4	no	—
872	#540	—	13	4	no	—
873	#540	C₂×D₁₃	1	4	yes	complemented
874	#535	—	13	4	no	—
875	#535	—	13	4	no	—
876	#535	—	13	4	no	—
877	#535	—	13	4	no	—
878	#535	—	13	4	no	—
879	#535	—	13	4	no	—
880	#535	—	13	8	no	—
881	#535	—	13	8	no	—
882	#535	—	13	8	no	—
883	#535	—	13	8	no	—
884	#535	—	13	4	no	—
885	#535	C₂×D₁₃	1	4	yes	complemented
886	#534	—	13	4	no	—
887	#534	—	13	4	no	—
888	#534	—	13	4	no	—
889	#534	—	13	8	no	—
890	#534	—	13	4	no	—
891	#534	—	13	8	no	—
892	#534	—	13	8	no	—
893	#534	—	13	4	no	—
894	#534	—	13	8	no	—
895	#534	—	13	4	no	—
896	#534	—	13	4	no	—
897	#534	C₂×D₁₃	1	4	yes	complemented
898	C₂×#127	—	13	4	no	—
899	C₂×#127	—	13	2	no	—
900	C₂×#127	—	13	1	no	—
901	C₂×#127	—	13	1	no	—
902	C₂×#127	—	13	4	no	—
903	C₂×#127	—	13	1	no	—
904	C₂×#127	—	13	2	no	—
905	C₂×#127	—	13	2	no	—
906	C₂×#127	—	13	1	no	—
907	C₂×#127	—	13	4	no	—
908	C₂×#127	—	13	4	no	—
909	C₂×#127	—	13	1	no	—
910	C₂×#127	C₂×D₁₃	1	1	yes	characteristic, complemented
911	#529	—	13	4	no	—
912	#529	—	13	2	no	—
913	#529	—	13	2	no	—
914	#529	—	13	4	no	—
915	#529	—	13	2	no	—
916	#529	—	13	2	no	—
917	#529	—	13	2	no	—
918	#529	—	13	4	no	—
919	#529	—	13	2	no	—
920	#529	—	13	4	no	—
921	#529	—	13	2	no	—
922	#529	C₂×D₁₃	1	2	yes	complemented
923	C₂×#126	—	13	4	no	—
924	C₂×#125	—	13	2	no	—
925	C₂×#124	—	13	2	no	—
926	C₂×#124	—	13	4	no	—
927	C₂×#123	—	13	4	no	—
928	C₂×#123	—	13	4	no	—
929	C₂×#123	—	13	4	no	—
930	C₂×#123	—	13	8	no	—
931	C₂×C₂²⋊Q₈	—	13	2	no	—
932	C₂×#121	—	13	2	no	—
933	C₂×#121	—	13	8	no	—
934	C₂×#121	—	13	8	no	—
935	C₂×#121	—	13	8	no	—
936	C₂×#121	—	13	4	no	—
937	C₂×#121	—	13	4	no	—
938	C₂×#121	—	13	8	no	—
939	C₂×#120	—	13	4	no	—
940	C₂×#120	—	13	8	no	—
941	C₂×#120	—	13	4	no	—
942	C₂×#120	—	13	8	no	—
943	C₂×C₄×Q₈	—	13	2	no	—
944	C₂×C₄×D₄	—	13	4	no	—
945	C₂×C₄×D₄	—	13	2	no	—
946	C₂×C₄×D₄	—	13	4	no	—
947	C₂×C₄×D₄	—	13	4	no	—
948	C₂×#117	—	13	4	no	—
949	C₂²×C₂²⋊C₄	—	13	4	no	—
950	C₂²×C₄²	—	13	1	no	—
951	C₂²×C₁₃	—	2	2	no	—
952	C₂²×C₁₃	—	2	4	no	—
953	C₂²×C₁₃	—	2	8	no	—
954	C₂²×C₁₃	—	2	4	no	—
955	C₂²×C₁₃	—	2	4	no	—
956	C₂²×C₁₃	—	2	8	no	—
957	C₂²×C₁₃	—	2	4	no	—
958	C₂²×C₁₃	—	2	4	no	—
959	C₂²×C₁₃	—	8	8	no	—
960	C₂²×C₁₃	—	8	8	no	—
961	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
962	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
963	C₂×D₁₃	—	2	2	no	—
964	C₂×D₁₃	—	2	8	no	—
965	C₂×D₁₃	—	2	4	no	—
966	C₂×D₁₃	—	2	8	no	—
967	C₂×D₁₃	—	2	4	no	—
968	C₂×D₁₃	—	2	4	no	—
969	C₂×D₁₃	—	2	4	no	—
970	C₂×D₁₃	—	2	8	no	—
971	C₂×D₁₃	—	2	4	no	—
972	C₂×D₁₃	—	4	16	no	—
973	C₂×D₁₃	—	4	16	no	—
974	C₂×D₁₃	—	4	16	no	—
975	C₂×D₁₃	—	8	8	no	—
976	C₂×D₁₃	—	8	8	no	—
977	C₂×D₁₃	—	8	8	no	—
978	C₂×D₁₃	—	8	8	no	—
979	C₂×D₁₃	—	8	16	no	—
980	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
981	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
982	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
983	C₄×C₁₃	—	2	4	no	—
984	C₄×C₁₃	—	2	4	no	—
985	C₄×C₁₃	—	2	1	no	—
986	C₄×C₁₃	—	2	1	no	—
987	C₄×C₁₃	—	2	2	no	—
988	C₄×C₁₃	—	2	4	no	—
989	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
990	Dic₁₃	—	2	4	no	—
991	Dic₁₃	—	2	4	no	—
992	Dic₁₃	—	2	1	no	—
993	Dic₁₃	—	2	1	no	—
994	Dic₁₃	—	2	2	no	—
995	Dic₁₃	—	2	4	no	—
996	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
997	C₂⁵	—	13	4	no	—
998	C₂⁵	—	13	4	no	—
999	C₂×#41	—	13	4	no	—
1000	C₂×#41	—	13	8	no	—
1001	C₂×#41	—	13	4	no	—
1002	C₂×#41	—	13	8	no	—
1003	C₂×#41	—	13	4	no	—
1004	C₂×#41	—	52	16	no	—
1005	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
1006	C₂²×Q₈	—	13	2	no	—
1007	C₂²×D₄	—	13	4	no	—
1008	C₂²×D₄	—	13	8	no	—
1009	C₂²×D₄	—	13	4	no	—
1010	C₂²×D₄	—	13	4	no	—
1011	C₂²×D₄	—	13	8	no	—
1012	C₂²×D₄	—	13	4	no	—
1013	C₂²×D₄	—	13	2	no	—
1014	C₂²×D₄	—	13	4	no	—
1015	C₂²×D₄	—	13	4	no	—
1016	C₂²×D₄	—	13	8	no	—
1017	C₂²×D₄	—	13	8	no	—
1018	C₂²×D₄	—	13	2	no	—
1019	C₂²×D₄	—	13	8	no	—
1020	C₂²×D₄	—	13	4	no	—
1021	C₂²×D₄	—	13	8	no	—
1022	C₂²×D₄	—	13	2	no	—
1023	C₂²×D₄	—	13	4	no	—
1024	C₂²×D₄	—	13	2	no	—
1025	C₂²×D₄	—	13	2	no	—
1026	C₂²×D₄	—	13	8	no	—
1027	C₂²×D₄	—	13	4	no	—
1028	C₂²×D₄	—	13	4	no	—
1029	C₂²×D₄	—	13	8	no	—
1030	C₂²×D₄	—	13	8	no	—
1031	C₂²×D₄	—	13	8	no	—
1032	C₂²×D₄	—	13	4	no	—
1033	C₂²×D₄	—	13	4	no	—
1034	C₂²×D₄	—	13	2	no	—
1035	C₂²×D₄	—	13	4	no	—
1036	C₂²×D₄	—	13	4	no	—
1037	C₂²×D₄	—	13	4	no	—
1038	C₂²×D₄	—	52	16	no	—
1039	C₂²×D₄	—	52	16	no	—
1040	C₂²×D₄	—	52	8	no	—
1041	C₂²×D₄	—	52	16	no	—
1042	C₂²×D₄	C₂²×D₁₃	1	2	yes	complemented
1043	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
1044	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
1045	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
1046	C₂³×C₄	—	13	4	no	—
1047	C₂³×C₄	—	13	2	no	—
1048	C₂³×C₄	—	13	1	no	—
1049	C₂³×C₄	—	13	8	no	—
1050	C₂³×C₄	—	13	4	no	—
1051	#127	—	13	8	no	—
1052	#127	—	13	8	no	—
1053	#127	—	13	4	no	—
1054	#127	—	13	4	no	—
1055	#127	—	13	2	no	—
1056	#127	—	13	4	no	—
1057	#127	—	13	2	no	—
1058	#127	—	13	4	no	—
1059	#127	—	13	8	no	—
1060	#127	—	13	2	no	—
1061	#127	—	13	2	no	—
1062	#127	—	13	8	no	—
1063	#127	—	13	8	no	—
1064	#127	—	13	4	no	—
1065	#127	—	13	4	no	—
1066	#127	—	13	4	no	—
1067	#127	—	13	1	no	—
1068	#127	—	13	1	no	—
1069	#127	—	13	2	no	—
1070	#127	—	13	4	no	—
1071	#127	C₂²×D₁₃	1	1	yes	characteristic
1072	#127	C₂²×D₁₃	1	4	yes	complemented
1073	#127	C₂²×D₁₃	1	1	yes	characteristic, complemented
1074	#127	C₂²×D₁₃	1	2	yes	complemented
1075	#127	C₂²×D₁₃	1	4	yes	complemented
1076	#126	—	13	4	no	—
1077	#126	—	13	4	no	—
1078	#126	—	13	4	no	—
1079	#126	—	13	4	no	—
1080	#126	—	13	4	no	—
1081	#126	—	13	4	no	—
1082	#126	—	13	4	no	—
1083	#126	C₂²×D₁₃	1	4	yes	complemented
1084	#125	—	13	4	no	—
1085	#125	—	13	4	no	—
1086	#125	—	13	2	no	—
1087	#125	—	13	2	no	—
1088	#125	—	13	2	no	—
1089	#125	C₂²×D₁₃	1	2	yes	complemented
1090	#124	—	13	2	no	—
1091	#124	—	13	4	no	—
1092	#124	—	13	2	no	—
1093	#124	—	13	4	no	—
1094	#124	—	13	4	no	—
1095	#124	—	13	4	no	—
1096	#124	—	13	8	no	—
1097	#124	—	13	8	no	—
1098	#124	—	13	2	no	—
1099	#124	—	13	4	no	—
1100	#124	C₂²×D₁₃	1	2	yes	complemented
1101	#124	C₂²×D₁₃	1	4	yes	complemented
1102	#123	—	13	4	no	—
1103	#123	—	13	4	no	—
1104	#123	—	13	4	no	—
1105	#123	—	13	8	no	—
1106	#123	—	13	4	no	—
1107	#123	—	13	4	no	—
1108	#123	—	13	4	no	—
1109	#123	—	13	8	no	—
1110	#123	—	13	4	no	—
1111	#123	—	13	4	no	—
1112	#123	—	13	8	no	—
1113	#123	—	13	8	no	—
1114	#123	—	13	8	no	—
1115	#123	—	13	8	no	—
1116	#123	—	13	4	no	—
1117	#123	—	13	4	no	—
1118	#123	—	13	4	no	—
1119	#123	—	13	8	no	—
1120	#123	—	13	4	no	—
1121	#123	—	13	8	no	—
1122	#123	—	13	4	no	—
1123	#123	—	13	8	no	—
1124	#123	—	13	8	no	—
1125	#123	—	13	8	no	—
1126	#123	C₂²×D₁₃	1	4	yes	complemented
1127	#123	C₂²×D₁₃	1	4	yes	complemented
1128	#123	C₂²×D₁₃	1	4	yes	complemented
1129	#123	C₂²×D₁₃	1	8	yes	complemented
1130	C₂²⋊Q₈	—	13	2	no	—
1131	C₂²⋊Q₈	—	13	2	no	—
1132	C₂²⋊Q₈	—	13	4	no	—
1133	C₂²⋊Q₈	—	13	2	no	—
1134	C₂²⋊Q₈	—	13	4	no	—
1135	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1136	#121	—	13	2	no	—
1137	#121	—	13	4	no	—
1138	#121	—	13	8	no	—
1139	#121	—	13	8	no	—
1140	#121	—	13	8	no	—
1141	#121	—	13	8	no	—
1142	#121	—	13	8	no	—
1143	#121	—	13	8	no	—
1144	#121	—	13	8	no	—
1145	#121	—	13	8	no	—
1146	#121	—	13	8	no	—
1147	#121	—	13	4	no	—
1148	#121	—	13	8	no	—
1149	#121	—	13	4	no	—
1150	#121	—	13	8	no	—
1151	#121	—	13	8	no	—
1152	#121	—	13	8	no	—
1153	#121	—	13	8	no	—
1154	#121	—	13	2	no	—
1155	#121	—	13	8	no	—
1156	#121	—	13	8	no	—
1157	#121	—	13	8	no	—
1158	#121	—	13	4	no	—
1159	#121	—	13	4	no	—
1160	#121	—	13	8	no	—
1161	#121	—	13	2	no	—
1162	#121	—	13	8	no	—
1163	#121	—	13	8	no	—
1164	#121	—	13	8	no	—
1165	#121	—	13	4	no	—
1166	#121	—	13	4	no	—
1167	#121	—	13	8	no	—
1168	#121	—	13	4	no	—
1169	#121	—	13	8	no	—
1170	#121	—	13	8	no	—
1171	#121	—	13	8	no	—
1172	#121	—	13	8	no	—
1173	#121	—	13	8	no	—
1174	#121	—	13	8	no	—
1175	#121	—	13	8	no	—
1176	#121	—	13	8	no	—
1177	#121	—	13	8	no	—
1178	#121	—	13	8	no	—
1179	#121	C₂²×D₁₃	1	2	yes	—
1180	#121	C₂²×D₁₃	1	8	yes	complemented
1181	#121	C₂²×D₁₃	1	8	yes	complemented
1182	#121	C₂²×D₁₃	1	8	yes	complemented
1183	#121	C₂²×D₁₃	1	4	yes	complemented
1184	#121	C₂²×D₁₃	1	4	yes	complemented
1185	#121	C₂²×D₁₃	1	8	yes	complemented
1186	#120	—	13	4	no	—
1187	#120	—	13	8	no	—
1188	#120	—	13	4	no	—
1189	#120	—	13	8	no	—
1190	#120	—	13	4	no	—
1191	#120	—	13	8	no	—
1192	#120	—	13	8	no	—
1193	#120	—	13	8	no	—
1194	#120	—	13	8	no	—
1195	#120	—	13	4	no	—
1196	#120	—	13	8	no	—
1197	#120	—	13	8	no	—
1198	#120	—	13	8	no	—
1199	#120	—	13	8	no	—
1200	#120	—	13	8	no	—
1201	#120	—	13	4	no	—
1202	#120	—	13	8	no	—
1203	#120	—	13	8	no	—
1204	#120	—	13	8	no	—
1205	#120	—	13	8	no	—
1206	#120	—	13	4	no	—
1207	#120	—	13	8	no	—
1208	#120	—	13	8	no	—
1209	#120	—	13	8	no	—
1210	#120	C₂²×D₁₃	1	4	yes	complemented
1211	#120	C₂²×D₁₃	1	8	yes	complemented
1212	#120	C₂²×D₁₃	1	4	yes	complemented
1213	#120	C₂²×D₁₃	1	8	yes	complemented
1214	C₄×Q₈	—	13	2	no	—
1215	C₄×Q₈	—	13	4	no	—
1216	C₄×Q₈	—	13	2	no	—
1217	C₄×Q₈	—	13	4	no	—
1218	C₄×Q₈	—	13	2	no	—
1219	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1220	C₄×D₄	—	13	4	no	—
1221	C₄×D₄	—	13	2	no	—
1222	C₄×D₄	—	13	4	no	—
1223	C₄×D₄	—	13	4	no	—
1224	C₄×D₄	—	13	4	no	—
1225	C₄×D₄	—	13	4	no	—
1226	C₄×D₄	—	13	4	no	—
1227	C₄×D₄	—	13	8	no	—
1228	C₄×D₄	—	13	8	no	—
1229	C₄×D₄	—	13	4	no	—
1230	C₄×D₄	—	13	2	no	—
1231	C₄×D₄	—	13	4	no	—
1232	C₄×D₄	—	13	4	no	—
1233	C₄×D₄	—	13	4	no	—
1234	C₄×D₄	—	13	4	no	—
1235	C₄×D₄	—	13	4	no	—
1236	C₄×D₄	—	13	8	no	—
1237	C₄×D₄	—	13	8	no	—
1238	C₄×D₄	—	13	4	no	—
1239	C₄×D₄	—	13	2	no	—
1240	C₄×D₄	—	13	4	no	—
1241	C₄×D₄	—	13	4	no	—
1242	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1243	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1244	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1245	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1246	#117	—	13	4	no	—
1247	#117	—	13	4	no	—
1248	#117	—	13	4	no	—
1249	#117	—	13	4	no	—
1250	#117	—	13	4	no	—
1251	#117	—	13	4	no	—
1252	#117	—	13	4	no	—
1253	#117	C₂²×D₁₃	1	4	yes	complemented
1254	C₂×C₄⋊C₄	—	13	4	no	—
1255	C₂×C₄⋊C₄	—	13	4	no	—
1256	C₂×C₄⋊C₄	—	13	2	no	—
1257	C₂×C₄⋊C₄	—	13	2	no	—
1258	C₂×C₄⋊C₄	—	13	4	no	—
1259	C₂×C₄⋊C₄	—	13	4	no	—
1260	C₂×C₂²⋊C₄	—	13	4	no	—
1261	C₂×C₂²⋊C₄	—	13	8	no	—
1262	C₂×C₂²⋊C₄	—	13	4	no	—
1263	C₂×C₂²⋊C₄	—	13	4	no	—
1264	C₂×C₂²⋊C₄	—	13	4	no	—
1265	C₂×C₂²⋊C₄	—	13	8	no	—
1266	C₂×C₂²⋊C₄	—	13	4	no	—
1267	C₂×C₂²⋊C₄	—	13	4	no	—
1268	C₂×C₂²⋊C₄	—	13	4	no	—
1269	C₂×C₂²⋊C₄	—	13	4	no	—
1270	C₂×C₂²⋊C₄	—	13	4	no	—
1271	C₂×C₂²⋊C₄	—	13	4	no	—
1272	C₂×C₂²⋊C₄	—	13	8	no	—
1273	C₂×C₂²⋊C₄	—	13	8	no	—
1274	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1275	C₂×C₄²	—	13	1	no	—
1276	C₂×C₄²	—	13	2	no	—
1277	C₂×C₄²	—	13	2	no	—
1278	C₂×C₄²	—	13	4	no	—
1279	C₂×C₄²	—	13	1	no	—
1280	C₂×C₄²	—	13	1	no	—
1281	C₂×C₄²	—	13	1	no	—
1282	C₂×C₄²	—	13	1	no	—
1283	C₂×C₄²	—	13	2	no	—
1284	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic, complemented
1285	C₂×C₁₃	—	2	2	no	—
1286	C₂×C₁₃	—	4	4	no	—
1287	C₂×C₁₃	—	4	4	no	—
1288	C₂×C₁₃	—	4	4	no	—
1289	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1290	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1291	D₁₃	—	2	2	no	—
1292	D₁₃	—	4	4	no	—
1293	D₁₃	—	4	4	no	—
1294	D₁₃	—	4	4	no	—
1295	D₁₃	#3543	1	4	yes	direct product factor
1296	C₂⁴	—	13	1	no	—
1297	C₂⁴	—	13	4	no	—
1298	C₂⁴	—	13	4	no	—
1299	C₂⁴	—	13	4	no	—
1300	C₂⁴	—	13	4	no	—
1301	C₂⁴	—	13	4	no	—
1302	C₂⁴	—	13	4	no	—
1303	C₂⁴	—	13	4	no	—
1304	C₂⁴	—	13	8	no	—
1305	C₂⁴	—	26	16	no	—
1306	C₂⁴	—	52	16	no	—
1307	C₂⁴	—	52	16	no	—
1308	C₂⁴	—	52	8	no	—
1309	C₂⁴	C₂³×D₁₃	1	4	yes	—
1310	C₂⁴	C₂³×D₁₃	1	4	yes	—
1311	#41	—	4	8	no	—
1312	#41	—	52	8	no	—
1313	#41	—	52	16	no	—
1314	#41	—	52	8	no	—
1315	#41	—	52	16	no	—
1316	#41	—	52	8	no	—
1317	C₂×Q₈	—	13	4	no	—
1318	C₂×Q₈	—	13	2	no	—
1319	C₂×Q₈	—	26	8	no	—
1320	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1321	C₂×D₄	—	4	8	no	—
1322	C₂×D₄	—	4	8	no	—
1323	C₂×D₄	—	4	4	no	—
1324	C₂×D₄	—	4	8	no	—
1325	C₂×D₄	—	13	4	no	—
1326	C₂×D₄	—	13	4	no	—
1327	C₂×D₄	—	13	4	no	—
1328	C₂×D₄	—	13	8	no	—
1329	C₂×D₄	—	13	8	no	—
1330	C₂×D₄	—	13	8	no	—
1331	C₂×D₄	—	13	8	no	—
1332	C₂×D₄	—	13	8	no	—
1333	C₂×D₄	—	13	8	no	—
1334	C₂×D₄	—	13	4	no	—
1335	C₂×D₄	—	13	8	no	—
1336	C₂×D₄	—	13	8	no	—
1337	C₂×D₄	—	13	4	no	—
1338	C₂×D₄	—	13	8	no	—
1339	C₂×D₄	—	13	4	no	—
1340	C₂×D₄	—	13	8	no	—
1341	C₂×D₄	—	13	4	no	—
1342	C₂×D₄	—	13	4	no	—
1343	C₂×D₄	—	13	2	no	—
1344	C₂×D₄	—	13	4	no	—
1345	C₂×D₄	—	13	4	no	—
1346	C₂×D₄	—	13	8	no	—
1347	C₂×D₄	—	13	8	no	—
1348	C₂×D₄	—	13	2	no	—
1349	C₂×D₄	—	13	8	no	—
1350	C₂×D₄	—	13	4	no	—
1351	C₂×D₄	—	13	8	no	—
1352	C₂×D₄	—	13	2	no	—
1353	C₂×D₄	—	26	8	no	—
1354	C₂×D₄	—	26	16	no	—
1355	C₂×D₄	—	26	16	no	—
1356	C₂×D₄	—	26	16	no	—
1357	C₂×D₄	—	52	8	no	—
1358	C₂×D₄	—	52	8	no	—
1359	C₂×D₄	—	52	4	no	—
1360	C₂×D₄	—	52	8	no	—
1361	C₂×D₄	—	52	8	no	—
1362	C₂×D₄	—	52	8	no	—
1363	C₂×D₄	—	52	8	no	—
1364	C₂×D₄	—	52	8	no	—
1365	C₂×D₄	—	52	16	no	—
1366	C₂×D₄	—	52	16	no	—
1367	C₂×D₄	—	52	16	no	—
1368	C₂×D₄	—	52	16	no	—
1369	C₂×D₄	—	52	4	no	—
1370	C₂×D₄	—	52	8	no	—
1371	C₂×D₄	—	52	4	no	—
1372	C₂×D₄	—	52	4	no	—
1373	C₂×D₄	—	52	8	no	—
1374	C₂×D₄	—	52	4	no	—
1375	C₂×D₄	—	52	16	no	—
1376	C₂×D₄	—	52	16	no	—
1377	C₂×D₄	—	52	16	no	—
1378	C₂×D₄	—	52	16	no	—
1379	C₂×D₄	—	52	8	no	—
1380	C₂×D₄	—	52	16	no	—
1381	C₂×D₄	—	52	16	no	—
1382	C₂×D₄	—	52	8	no	—
1383	C₂×D₄	—	52	8	no	—
1384	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1385	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1386	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1387	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1388	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1389	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1390	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1391	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1392	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1393	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1394	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1395	C₂²×C₄	—	13	2	no	—
1396	C₂²×C₄	—	13	2	no	—
1397	C₂²×C₄	—	13	1	no	—
1398	C₂²×C₄	—	13	4	no	—
1399	C₂²×C₄	—	13	8	no	—
1400	C₂²×C₄	—	13	4	no	—
1401	C₂²×C₄	—	13	1	no	—
1402	C₂²×C₄	—	13	2	no	—
1403	C₂²×C₄	—	13	1	no	—
1404	C₂²×C₄	—	13	2	no	—
1405	C₂²×C₄	—	13	2	no	—
1406	C₂²×C₄	—	13	1	no	—
1407	C₂²×C₄	—	13	1	no	—
1408	C₂²×C₄	—	13	4	no	—
1409	C₂²×C₄	—	13	4	no	—
1410	C₂²×C₄	—	13	4	no	—
1411	C₂²×C₄	—	13	4	no	—
1412	C₂²×C₄	—	13	4	no	—
1413	C₂²×C₄	—	13	8	no	—
1414	C₂²×C₄	—	13	8	no	—
1415	C₂²×C₄	—	13	8	no	—
1416	C₂²×C₄	—	26	8	no	—
1417	C₂²×C₄	—	26	16	no	—
1418	C₂²×C₄	—	26	4	no	—
1419	C₂²×C₄	—	52	8	no	—
1420	C₂²×C₄	—	52	16	no	—
1421	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1422	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1424	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1425	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1426	C₄⋊C₄	—	13	4	no	—
1427	C₄⋊C₄	—	13	4	no	—
1428	C₄⋊C₄	—	13	4	no	—
1429	C₄⋊C₄	—	13	4	no	—
1430	C₄⋊C₄	—	13	4	no	—
1431	C₄⋊C₄	—	13	4	no	—
1432	C₄⋊C₄	—	13	4	no	—
1433	C₄⋊C₄	—	13	2	no	—
1434	C₄⋊C₄	—	13	4	no	—
1435	C₄⋊C₄	—	13	2	no	—
1436	C₄⋊C₄	—	13	4	no	—
1437	C₄⋊C₄	—	13	4	no	—
1438	C₄⋊C₄	—	13	4	no	—
1439	C₄⋊C₄	—	13	4	no	—
1440	C₄⋊C₄	—	13	4	no	—
1441	C₄⋊C₄	—	13	4	no	—
1442	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1443	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1444	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1445	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1446	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1447	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1448	C₂²⋊C₄	—	13	4	no	—
1449	C₂²⋊C₄	—	13	4	no	—
1450	C₂²⋊C₄	—	13	4	no	—
1451	C₂²⋊C₄	—	13	4	no	—
1452	C₂²⋊C₄	—	13	4	no	—
1453	C₂²⋊C₄	—	13	4	no	—
1454	C₂²⋊C₄	—	13	4	no	—
1455	C₂²⋊C₄	—	13	8	no	—
1456	C₂²⋊C₄	—	13	8	no	—
1457	C₂²⋊C₄	—	13	4	no	—
1458	C₂²⋊C₄	—	13	4	no	—
1459	C₂²⋊C₄	—	13	8	no	—
1460	C₂²⋊C₄	—	13	8	no	—
1461	C₂²⋊C₄	—	13	4	no	—
1462	C₂²⋊C₄	—	13	4	no	—
1463	C₂²⋊C₄	—	13	4	no	—
1464	C₂²⋊C₄	—	13	4	no	—
1465	C₂²⋊C₄	—	13	4	no	—
1466	C₂²⋊C₄	—	13	4	no	—
1467	C₂²⋊C₄	—	13	4	no	—
1468	C₂²⋊C₄	—	13	4	no	—
1469	C₂²⋊C₄	—	13	8	no	—
1470	C₂²⋊C₄	—	13	8	no	—
1471	C₂²⋊C₄	—	13	8	no	—
1472	C₂²⋊C₄	—	13	8	no	—
1473	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1474	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1475	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1476	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1477	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1478	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1479	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1480	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1481	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1482	C₄²	—	13	2	no	—
1483	C₄²	—	13	2	no	—
1484	C₄²	—	13	2	no	—
1485	C₄²	—	13	1	no	—
1486	C₄²	—	13	2	no	—
1487	C₄²	—	13	1	no	—
1488	C₄²	—	13	2	no	—
1489	C₄²	—	13	4	no	—
1490	C₄²	—	13	4	no	—
1491	C₄²	—	13	4	no	—
1492	C₄²	C₂³×D₁₃	1	2	yes	—
1493	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1494	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1495	C₄²	C₂³×D₁₃	1	4	yes	—
1496	C₁₃	C₂×#3543	1	1	yes	characteristic, complemented, Sylow
1497	C₂³	—	2	8	no	—
1498	C₂³	—	4	8	no	—
1499	C₂³	—	4	8	no	—
1500	C₂³	—	4	4	no	—
1501	C₂³	—	13	1	no	—
1502	C₂³	—	13	4	no	—
1503	C₂³	—	13	1	no	—
1504	C₂³	—	13	4	no	—
1505	C₂³	—	13	4	no	—
1506	C₂³	—	13	4	no	—
1507	C₂³	—	26	4	no	—
1508	C₂³	—	26	8	no	—
1509	C₂³	—	26	16	no	—
1510	C₂³	—	26	8	no	—
1511	C₂³	—	26	8	no	—
1512	C₂³	—	26	16	no	—
1513	C₂³	—	26	8	no	—
1514	C₂³	—	26	8	no	—
1515	C₂³	—	26	8	no	—
1516	C₂³	—	26	8	no	—
1517	C₂³	—	26	8	no	—
1518	C₂³	—	52	8	no	—
1519	C₂³	—	52	8	no	—
1520	C₂³	—	52	8	no	—
1521	C₂³	—	52	4	no	—
1522	C₂³	—	52	8	no	—
1523	C₂³	—	52	8	no	—
1524	C₂³	—	52	8	no	—
1525	C₂³	—	52	8	no	—
1526	C₂³	—	104	32	no	—
1527	C₂³	—	104	32	no	—
1528	C₂³	C₂⁴×D₁₃	1	4	yes	—
1529	C₂³	C₂⁴×D₁₃	1	4	yes	—
1530	C₂³	C₂⁴×D₁₃	1	4	yes	—
1531	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1532	Q₈	—	2	4	no	—
1533	Q₈	—	26	8	no	—
1534	Q₈	—	26	4	no	—
1535	D₄	—	2	8	no	—
1536	D₄	—	2	4	no	—
1537	D₄	—	2	8	no	—
1538	D₄	—	2	8	no	—
1539	D₄	—	4	8	no	—
1540	D₄	—	4	8	no	—
1541	D₄	—	4	2	no	—
1542	D₄	—	4	4	no	—
1543	D₄	—	4	2	no	—
1544	D₄	—	4	8	no	—
1545	D₄	—	4	8	no	—
1546	D₄	—	26	8	no	—
1547	D₄	—	26	8	no	—
1548	D₄	—	26	16	no	—
1549	D₄	—	26	16	no	—
1550	D₄	—	26	8	no	—
1551	D₄	—	26	8	no	—
1552	D₄	—	26	8	no	—
1553	D₄	—	26	4	no	—
1554	D₄	—	26	8	no	—
1555	D₄	—	52	8	no	—
1556	D₄	—	52	8	no	—
1557	D₄	—	52	2	no	—
1558	D₄	—	52	4	no	—
1559	D₄	—	52	2	no	—
1560	D₄	—	52	8	no	—
1561	D₄	—	52	8	no	—
1562	D₄	—	52	8	no	—
1563	D₄	—	52	8	no	—
1564	D₄	—	52	8	no	—
1565	D₄	—	52	4	no	—
1566	D₄	—	52	4	no	—
1567	D₄	—	52	8	no	—
1568	D₄	—	52	4	no	—
1569	D₄	—	52	4	no	—
1570	D₄	—	52	8	no	—
1571	D₄	—	52	8	no	—
1572	D₄	—	52	8	no	—
1573	D₄	—	52	8	no	—
1574	C₂×C₄	—	2	2	no	—
1575	C₂×C₄	—	2	4	no	—
1576	C₂×C₄	—	2	8	no	—
1577	C₂×C₄	—	4	4	no	—
1578	C₂×C₄	—	4	8	no	—
1579	C₂×C₄	—	13	2	no	—
1580	C₂×C₄	—	13	8	no	—
1581	C₂×C₄	—	13	1	no	—
1582	C₂×C₄	—	13	2	no	—
1583	C₂×C₄	—	13	1	no	—
1584	C₂×C₄	—	13	4	no	—
1585	C₂×C₄	—	13	4	no	—
1586	C₂×C₄	—	13	4	no	—
1587	C₂×C₄	—	26	4	no	—
1588	C₂×C₄	—	26	8	no	—
1589	C₂×C₄	—	26	8	no	—
1590	C₂×C₄	—	26	4	no	—
1591	C₂×C₄	—	26	2	no	—
1592	C₂×C₄	—	26	2	no	—
1593	C₂×C₄	—	26	2	no	—
1594	C₂×C₄	—	26	2	no	—
1595	C₂×C₄	—	26	8	no	—
1596	C₂×C₄	—	26	8	no	—
1597	C₂×C₄	—	26	4	no	—
1598	C₂×C₄	—	26	8	no	—
1599	C₂×C₄	—	26	2	no	—
1600	C₂×C₄	—	26	4	no	—
1601	C₂×C₄	—	26	8	no	—
1602	C₂×C₄	—	52	8	no	—
1603	C₂×C₄	—	52	8	no	—
1604	C₂×C₄	—	52	8	no	—
1605	C₂×C₄	—	52	4	no	—
1606	C₂×C₄	—	52	8	no	—
1607	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1608	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1609	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1610	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1611	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1612	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1613	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1614	C₂²	—	2	2	no	—
1615	C₂²	—	2	4	no	—
1616	C₂²	—	2	8	no	—
1617	C₂²	—	2	4	no	—
1618	C₂²	—	2	4	no	—
1619	C₂²	—	2	4	no	—
1620	C₂²	—	2	8	no	—
1621	C₂²	—	2	4	no	—
1622	C₂²	—	8	8	no	—
1623	C₂²	—	8	8	no	—
1624	C₂²	—	13	4	no	—
1625	C₂²	—	13	2	no	—
1626	C₂²	—	13	2	no	—
1627	C₂²	—	26	8	no	—
1628	C₂²	—	26	2	no	—
1629	C₂²	—	26	4	no	—
1630	C₂²	—	26	8	no	—
1631	C₂²	—	26	4	no	—
1632	C₂²	—	26	4	no	—
1633	C₂²	—	26	4	no	—
1634	C₂²	—	26	8	no	—
1635	C₂²	—	26	4	no	—
1636	C₂²	—	52	16	no	—
1637	C₂²	—	52	16	no	—
1638	C₂²	—	52	16	no	—
1639	C₂²	—	104	8	no	—
1640	C₂²	—	104	8	no	—
1641	C₂²	—	104	8	no	—
1642	C₂²	—	104	16	no	—
1643	C₂²	—	104	8	no	—
1644	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1645	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1646	C₄	—	2	4	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	4	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	13	4	no	—
1653	C₄	—	26	4	no	—
1654	C₄	—	26	1	no	—
1655	C₄	—	26	1	no	—
1656	C₄	—	26	2	no	—
1657	C₄	—	26	4	no	—
1658	C₄	—	26	4	no	—
1659	C₄	D₁₃×H(5,𝔽₂)	1	4	yes	—
1660	C₂	—	2	2	no	—
1661	C₂	—	4	4	no	—
1662	C₂	—	4	4	no	—
1663	C₂	—	4	4	no	—
1664	C₂	—	13	4	no	—
1665	C₂	—	26	2	no	—
1666	C₂	—	52	4	no	—
1667	C₂	—	52	4	no	—
1668	C₂	—	52	4	no	—
1669	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1670	C₂	C₂×D₁₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3543	C₂
hypercenter	#3543	D₁₃
hypocenter	C₁₃	C₂×#3543
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3543

Complements

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

N	H ≅ G/N	type
1. #13129170	C₂	semidirect
2. #13129169	C₂	semidirect
3. #13129168	C₂	semidirect
4. #13129167	C₂	semidirect
5. #13129166	C₂	semidirect
6. #13129165	C₂	semidirect
7. #13129164	C₂	semidirect
8. #13129163	C₂	semidirect
9. #13129162	C₂	semidirect
10. #13129161	C₂	semidirect
11. #13129160	C₂	semidirect
12. D₁₃×#560	C₂	semidirect
13. D₁₃×#559	C₂	semidirect
14. D₁₃×#550	C₂	semidirect
15. D₁₃×#546	C₂	semidirect
16. D₄²×D₁₃	C₂	semidirect
17. D₄²×D₁₃	C₂	semidirect
18. D₁₃×#540	C₂	semidirect
19. D₁₃×#535	C₂	semidirect
20. D₁₃×#534	C₂	semidirect
21. C₂×D₁₃×#127	C₂	semidirect
22. D₁₃×#529	C₂	semidirect
23. C₁₃×#3543	C₂	semidirect
24. C₂×#41×D₁₃	C₂²	semidirect
25. C₂²×D₄×D₁₃	C₂²	semidirect
26. C₂²×D₄×D₁₃	C₂²	semidirect
27. C₂²×D₄×D₁₃	C₂²	semidirect
28. C₂²×D₄×D₁₃	C₂²	semidirect
29. C₁₃×#560	C₂²	semidirect
30. C₁₃×#559	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
32. C₁₃×#546	C₂²	semidirect
33. D₄²×C₁₃	C₂²	semidirect
34. D₄²×C₁₃	C₂²	semidirect
35. C₁₃×#540	C₂²	semidirect
36. C₁₃×#535	C₂²	semidirect
37. C₁₃×#534	C₂²	semidirect
38. C₂×C₁₃×#127	C₂²	semidirect
39. C₁₃×#529	C₂²	semidirect
40. #11719539	C₂²	semidirect
41. #11719535	C₂²	semidirect
42. #11719534	C₂²	semidirect
43. #11719511	C₂²	semidirect
44. #11719510	C₂²	semidirect
45. #11719509	C₂²	semidirect
46. #11719509	C₂²	semidirect
47. C₂×#88194	C₂²	semidirect
48. C₂×#88194	C₂²	semidirect
49. D₄×C₂²⋊D₁₃	C₂²	semidirect
50. D₄×C₂²⋊D₁₃	C₂²	semidirect
51. D₄×C₂²⋊D₁₃	C₂²	semidirect
52. D₄×C₂²⋊D₁₃	C₂²	semidirect
53. #11719425	C₂²	semidirect
54. #11719424	C₂²	semidirect
55. #11719423	C₂²	semidirect
56. #11719423	C₂²	semidirect
57. #11719422	C₂²	semidirect
58. #11719422	C₂²	semidirect
59. #11719420	C₂²	semidirect
60. #11719420	C₂²	semidirect
62. D₁₃×#127	C₂²	semidirect
63. D₁₃×#127	C₂²	semidirect
64. D₁₃×#127	C₂²	semidirect
65. D₁₃×#127	C₂²	semidirect
66. D₁₃×#127	C₂²	semidirect
67. D₁₃×#127	C₂²	semidirect
68. D₁₃×#127	C₂²	semidirect
69. D₁₃×#127	C₂²	semidirect
70. #11719418	C₂²	semidirect
71. #11719416	C₂²	semidirect
72. #11719411	C₂²	semidirect
73. D₁₃×#126	C₂²	semidirect
74. #11719403	C₂²	semidirect
75. #11719396	C₂²	semidirect
76. D₁₃×#125	C₂²	semidirect
77. #11719386	C₂²	semidirect
78. #11719385	C₂²	semidirect
79. #11719381	C₂²	semidirect
80. #11719379	C₂²	semidirect
81. #11719379	C₂²	semidirect
82. D₁₃×#124	C₂²	semidirect
83. D₁₃×#124	C₂²	semidirect
84. #11719371	C₂²	semidirect
85. #11719371	C₂²	semidirect
86. #11719369	C₂²	semidirect
87. #11719368	C₂²	semidirect
88. #11719368	C₂²	semidirect
89. #11719359	C₂²	semidirect
90. #11719358	C₂²	semidirect
91. #11719358	C₂²	semidirect
92. #11719358	C₂²	semidirect
93. D₁₃×#123	C₂²	semidirect
94. D₁₃×#123	C₂²	semidirect
95. D₁₃×#123	C₂²	semidirect
96. D₁₃×#123	C₂²	semidirect
97. #11719354	C₂²	semidirect
98. #11719335	C₂²	semidirect
99. D₁₃×C₂²⋊Q₈	C₂²	semidirect
100. #11719329	C₂²	semidirect
101. #11719325	C₂²	semidirect
102. #11719325	C₂²	semidirect
103. #11719325	C₂²	semidirect
104. #11719324	C₂²	semidirect
105. #11719324	C₂²	semidirect
106. #11719320	C₂²	semidirect
107. #11719320	C₂²	semidirect
108. #11719317	C₂²	semidirect
109. #11719315	C₂²	semidirect
110. #11719314	C₂²	semidirect
111. #11719314	C₂²	semidirect
112. #11719314	C₂²	semidirect
113. #11719314	C₂²	semidirect
114. #11719312	C₂²	semidirect
115. #11719312	C₂²	semidirect
116. #11719310	C₂²	semidirect
117. #11719310	C₂²	semidirect
119. D₁₃×#121	C₂²	semidirect
120. D₁₃×#121	C₂²	semidirect
121. D₁₃×#121	C₂²	semidirect
122. D₁₃×#121	C₂²	semidirect
123. D₁₃×#121	C₂²	semidirect
124. D₁₃×#121	C₂²	semidirect
125. #11719305	C₂²	semidirect
126. #11719304	C₂²	semidirect
127. #11719304	C₂²	semidirect
128. #11719300	C₂²	semidirect
129. #11719300	C₂²	semidirect
130. #11719297	C₂²	semidirect
131. #11719297	C₂²	semidirect
132. #11719296	C₂²	semidirect
133. #11719295	C₂²	semidirect
134. #11719295	C₂²	semidirect
135. #11719295	C₂²	semidirect
136. #11719294	C₂²	semidirect
137. #11719294	C₂²	semidirect
138. #11719294	C₂²	semidirect
139. D₁₃×#120	C₂²	semidirect
140. D₁₃×#120	C₂²	semidirect
141. D₁₃×#120	C₂²	semidirect
142. D₁₃×#120	C₂²	semidirect
143. #11719290	C₂²	semidirect
144. #11719285	C₂²	semidirect
145. #11719282	C₂²	semidirect
146. C₄×Q₈×D₁₃	C₂²	semidirect
147. #11719267	C₂²	semidirect
148. #11719267	C₂²	semidirect
149. #11719264	C₂²	semidirect
150. #11719262	C₂²	semidirect
151. #11719259	C₂²	semidirect
152. #11719258	C₂²	semidirect
153. #11719258	C₂²	semidirect
154. #11719255	C₂²	semidirect
155. D₄×D₅₂	C₂²	semidirect
156. D₄×D₅₂	C₂²	semidirect
157. D₄×D₅₂	C₂²	semidirect
158. C₄×D₄×D₁₃	C₂²	semidirect
159. C₄×D₄×D₁₃	C₂²	semidirect
160. C₄×D₄×D₁₃	C₂²	semidirect
161. C₄×D₄×D₁₃	C₂²	semidirect
162. #11719243	C₂²	semidirect
163. #11719240	C₂²	semidirect
164. #11719233	C₂²	semidirect
165. #11719230	C₂²	semidirect
166. D₁₃×#117	C₂²	semidirect
167. #11719198	C₂²	semidirect
168. #11719195	C₂²	semidirect
169. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
170. #11719184	C₂²	semidirect
171. C₂×#88128	C₂²	semidirect
172. C₂×C₄²×D₁₃	C₂²	semidirect
175. C₂×C₁₃×#41	C₂³	semidirect
176. C₂²×D₄×C₁₃	C₂³	semidirect
177. C₂²×D₄×C₁₃	C₂³	semidirect
178. C₂²×D₄×C₁₃	C₂³	semidirect
179. C₂²×D₄×C₁₃	C₂³	semidirect
180. C₂²×C₂²⋊D₁₃	C₂³	semidirect
181. C₂²×C₂²⋊D₁₃	C₂³	semidirect
182. C₂²×C₂²⋊D₁₃	C₂³	semidirect
183. C₂²×C₂²⋊D₁₃	C₂³	semidirect
184. C₂²×C₂²⋊D₁₃	C₂³	semidirect
186. C₂×#6131	C₂³	semidirect
188. C₂×#6129	C₂³	semidirect
189. C₂×#6129	C₂³	semidirect
205. C₂×D₄×D₁₃	C₂³	semidirect
206. C₂×D₄×D₁₃	C₂³	semidirect
207. C₂×D₄×D₁₃	C₂³	semidirect
208. C₂×D₄×D₁₃	C₂³	semidirect
209. C₂×D₄×D₁₃	C₂³	semidirect
210. C₂×D₄×D₁₃	C₂³	semidirect
211. C₂×D₄×D₁₃	C₂³	semidirect
212. C₂×D₄×D₁₃	C₂³	semidirect
213. C₂×D₄×D₁₃	C₂³	semidirect
214. C₂×D₄×D₁₃	C₂³	semidirect
215. C₂×D₄×D₁₃	C₂³	semidirect
216. C₂×#6127	C₂³	semidirect
217. C₂×#6127	C₂³	semidirect
218. C₂²×D₅₂	C₂³	semidirect
219. C₂²×D₅₂	C₂³	semidirect
220. C₂²×D₅₂	C₂³	semidirect
221. C₂²×D₅₂	C₂³	semidirect
228. C₁₃×#127	C₂³	semidirect
229. C₁₃×#127	C₂³	semidirect
230. C₁₃×#127	C₂³	semidirect
231. C₁₃×#127	C₂³	semidirect
232. C₁₃×#126	C₂³	semidirect
233. C₁₃×#125	C₂³	semidirect
234. C₁₃×#124	C₂³	semidirect
235. C₁₃×#124	C₂³	semidirect
236. C₁₃×#123	C₂³	semidirect
237. C₁₃×#123	C₂³	semidirect
238. C₁₃×#123	C₂³	semidirect
239. C₁₃×#123	C₂³	semidirect
240. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₁₃×#121	C₂³	semidirect
243. C₁₃×#121	C₂³	semidirect
244. C₁₃×#121	C₂³	semidirect
245. C₁₃×#121	C₂³	semidirect
246. C₁₃×#121	C₂³	semidirect
247. C₁₃×#121	C₂³	semidirect
248. C₁₃×#120	C₂³	semidirect
249. C₁₃×#120	C₂³	semidirect
250. C₁₃×#120	C₂³	semidirect
251. C₁₃×#120	C₂³	semidirect
252. C₄×Q₈×C₁₃	C₂³	semidirect
253. C₄×D₄×C₁₃	C₂³	semidirect
254. C₄×D₄×C₁₃	C₂³	semidirect
255. C₄×D₄×C₁₃	C₂³	semidirect
256. C₄×D₄×C₁₃	C₂³	semidirect
257. C₁₃×#117	C₂³	semidirect
258. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
259. C₂×C₄²×C₁₃	C₂³	semidirect
260. #88207	C₂³	semidirect
261. #88207	C₂³	semidirect
262. #88207	C₂³	semidirect
263. #88207	C₂³	semidirect
264. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
265. #88201	C₂³	semidirect
266. #88201	C₂³	semidirect
267. #88200	C₂³	semidirect
268. Q₈×Dic₁₃	C₂³	semidirect
271. #88194	C₂³	semidirect
272. #88194	C₂³	semidirect
273. #88194	C₂³	semidirect
274. #88194	C₂³	semidirect
275. #88194	C₂³	semidirect
276. #88194	C₂³	semidirect
277. #88194	C₂³	semidirect
278. #88194	C₂³	semidirect
279. #88194	C₂³	semidirect
280. #88194	C₂³	semidirect
281. #88194	C₂³	semidirect
282. #88194	C₂³	semidirect
283. #88194	C₂³	semidirect
285. #88193	C₂³	semidirect
286. #88193	C₂³	semidirect
287. #88193	C₂³	semidirect
288. #88193	C₂³	semidirect
289. #88193	C₂³	semidirect
290. #88193	C₂³	semidirect
291. #88193	C₂³	semidirect
292. #88193	C₂³	semidirect
293. #88193	C₂³	semidirect
294. #88193	C₂³	semidirect
296. #88192	C₂³	semidirect
297. #88192	C₂³	semidirect
298. #88192	C₂³	semidirect
299. #88192	C₂³	semidirect
300. #88192	C₂³	semidirect
301. #88192	C₂³	semidirect
302. #88191	C₂³	semidirect
303. #88191	C₂³	semidirect
304. #88191	C₂³	semidirect
305. #88191	C₂³	semidirect
306. #88191	C₂³	semidirect
307. #88191	C₂³	semidirect
308. #88191	C₂³	semidirect
309. #88191	C₂³	semidirect
310. #88191	C₂³	semidirect
311. #88191	C₂³	semidirect
312. #88190	C₂³	semidirect
313. #88190	C₂³	semidirect
314. #88189	C₂³	semidirect
315. #88189	C₂³	semidirect
316. #88189	C₂³	semidirect
317. #88189	C₂³	semidirect
318. D₄×Dic₁₃	C₂³	semidirect
319. D₄×Dic₁₃	C₂³	semidirect
320. D₄×Dic₁₃	C₂³	semidirect
321. D₄×Dic₁₃	C₂³	semidirect
323. #88184	C₂³	semidirect
324. #88184	C₂³	semidirect
325. #88184	C₂³	semidirect
326. #88184	C₂³	semidirect
327. #88184	C₂³	semidirect
328. #88184	C₂³	semidirect
329. #88183	C₂³	semidirect
330. #88183	C₂³	semidirect
331. #88183	C₂³	semidirect
332. #88183	C₂³	semidirect
333. C₄×C₂²⋊D₁₃	C₂³	semidirect
334. C₄×C₂²⋊D₁₃	C₂³	semidirect
335. C₄×C₂²⋊D₁₃	C₂³	semidirect
336. C₄×C₂²⋊D₁₃	C₂³	semidirect
337. C₄×C₂²⋊D₁₃	C₂³	semidirect
338. C₂×#6103	C₂³	semidirect
339. #88180	C₂³	semidirect
340. #88178	C₂³	semidirect
341. C₂×C₄×Dic₁₃	C₂³	semidirect
342. C₂×C₄×Dic₁₃	C₂³	semidirect
343. #88152	C₂³	semidirect
344. #88152	C₂³	semidirect
345. #88152	C₂³	semidirect
346. #88151	C₂³	semidirect
347. #88150	C₂³	semidirect
349. #88149	C₂³	semidirect
350. #88149	C₂³	semidirect
351. #88149	C₂³	semidirect
352. #88149	C₂³	semidirect
353. #88149	C₂³	semidirect
354. #88149	C₂³	semidirect
355. #88148	C₂³	semidirect
356. #88148	C₂³	semidirect
357. #88148	C₂³	semidirect
358. #88148	C₂³	semidirect
359. #88148	C₂³	semidirect
360. #88148	C₂³	semidirect
361. #88147	C₂³	semidirect
362. #88147	C₂³	semidirect
363. #88147	C₂³	semidirect
364. #88147	C₂³	semidirect
365. #88146	C₂³	semidirect
366. #88146	C₂³	semidirect
373. #88144	C₂³	semidirect
374. #88144	C₂³	semidirect
375. #88143	C₂³	semidirect
376. #88143	C₂³	semidirect
377. #88141	C₂³	semidirect
378. #88141	C₂³	semidirect
379. #88140	C₂³	semidirect
380. #88140	C₂³	semidirect
381. #88140	C₂³	semidirect
382. #88140	C₂³	semidirect
383. #88139	C₂³	semidirect
384. #88139	C₂³	semidirect
385. #88139	C₂³	semidirect
386. #88139	C₂³	semidirect
388. #88138	C₂³	semidirect
389. #88138	C₂³	semidirect
390. #88138	C₂³	semidirect
391. #88138	C₂³	semidirect
392. #88138	C₂³	semidirect
393. #88138	C₂³	semidirect
394. #88138	C₂³	semidirect
395. #88138	C₂³	semidirect
396. #88138	C₂³	semidirect
397. #88138	C₂³	semidirect
398. #88137	C₂³	semidirect
399. #88137	C₂³	semidirect
400. #88137	C₂³	semidirect
401. #88137	C₂³	semidirect
402. #88137	C₂³	semidirect
403. #88137	C₂³	semidirect
404. #88136	C₂³	semidirect
405. #88136	C₂³	semidirect
406. #88136	C₂³	semidirect
407. #88136	C₂³	semidirect
408. #88136	C₂³	semidirect
409. #88136	C₂³	semidirect
410. #88136	C₂³	semidirect
411. #88136	C₂³	semidirect
412. #88136	C₂³	semidirect
413. #88136	C₂³	semidirect
414. #88135	C₂³	semidirect
415. #88135	C₂³	semidirect
416. #88135	C₂³	semidirect
417. #88135	C₂³	semidirect
418. #88135	C₂³	semidirect
428. C₂²⋊C₄×D₁₃	C₂³	semidirect
429. C₂²⋊C₄×D₁₃	C₂³	semidirect
430. C₂²⋊C₄×D₁₃	C₂³	semidirect
431. #88133	C₂³	semidirect
432. #88133	C₂³	semidirect
433. #88133	C₂³	semidirect
434. #88132	C₂³	semidirect
435. #88131	C₂³	semidirect
436. #88131	C₂³	semidirect
437. #88130	C₂³	semidirect
438. #88129	C₂³	semidirect
439. #88129	C₂³	semidirect
441. #88128	C₂³	semidirect
442. #88128	C₂³	semidirect
443. #88128	C₂³	semidirect
444. #88128	C₂³	semidirect
445. C₄×D₅₂	C₂³	semidirect
446. C₄×D₅₂	C₂³	semidirect
447. C₄×D₅₂	C₂³	semidirect
448. C₄×D₅₂	C₂³	semidirect
449. #88126	C₂³	semidirect
450. #88126	C₂³	semidirect
455. C₄²×D₁₃	C₂³	semidirect
456. C₄²×D₁₃	C₂³	semidirect
457. C₄²×D₁₃	C₂³	semidirect
458. #88124	C₂³	semidirect
459. C₄×Dic₂₆	C₂³	semidirect
460. C₄×Dic₂₆	C₂³	semidirect
673. #3543	D₁₃	direct (N × H)
816. #560	C₂×D₁₃	semidirect
822. #559	C₂×D₁₃	semidirect
831. #550	C₂×D₁₃	semidirect
843. #546	C₂×D₁₃	semidirect
860. D₄²	C₂×D₁₃	semidirect
861. D₄²	C₂×D₁₃	semidirect
873. #540	C₂×D₁₃	semidirect
885. #535	C₂×D₁₃	semidirect
897. #534	C₂×D₁₃	semidirect
910. C₂×#127	C₂×D₁₃	semidirect
922. #529	C₂×D₁₃	semidirect
1005. C₂×#41	C₂²×D₁₃	semidirect
1042. C₂²×D₄	C₂²×D₁₃	semidirect
1043. C₂²×D₄	C₂²×D₁₃	semidirect
1044. C₂²×D₄	C₂²×D₁₃	semidirect
1045. C₂²×D₄	C₂²×D₁₃	semidirect
1072. #127	C₂²×D₁₃	semidirect
1073. #127	C₂²×D₁₃	semidirect
1074. #127	C₂²×D₁₃	semidirect
1075. #127	C₂²×D₁₃	semidirect
1083. #126	C₂²×D₁₃	semidirect
1089. #125	C₂²×D₁₃	semidirect
1100. #124	C₂²×D₁₃	semidirect
1101. #124	C₂²×D₁₃	semidirect
1126. #123	C₂²×D₁₃	semidirect
1127. #123	C₂²×D₁₃	semidirect
1128. #123	C₂²×D₁₃	semidirect
1129. #123	C₂²×D₁₃	semidirect
1135. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1180. #121	C₂²×D₁₃	semidirect
1181. #121	C₂²×D₁₃	semidirect
1182. #121	C₂²×D₁₃	semidirect
1183. #121	C₂²×D₁₃	semidirect
1184. #121	C₂²×D₁₃	semidirect
1185. #121	C₂²×D₁₃	semidirect
1210. #120	C₂²×D₁₃	semidirect
1211. #120	C₂²×D₁₃	semidirect
1212. #120	C₂²×D₁₃	semidirect
1213. #120	C₂²×D₁₃	semidirect
1219. C₄×Q₈	C₂²×D₁₃	semidirect
1242. C₄×D₄	C₂²×D₁₃	semidirect
1243. C₄×D₄	C₂²×D₁₃	semidirect
1244. C₄×D₄	C₂²×D₁₃	semidirect
1245. C₄×D₄	C₂²×D₁₃	semidirect
1253. #117	C₂²×D₁₃	semidirect
1274. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1284. C₂×C₄²	C₂²×D₁₃	semidirect
1295. D₁₃	#3543	direct (N × H)
1496. C₁₃	C₂×#3543	semidirect

Maximal subgroups

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

subgroup	index
#13129170	2
#13129169	2
#13129168	2
#13129167	2
#13129166	2
#13129165	2
#13129164	2
#13129163	2
#13129162	2
#13129161	2
#13129160	2
D₁₃×#560	2
D₁₃×#559	2
D₁₃×#550	2
D₁₃×#546	2
D₄²×D₁₃	2
D₁₃×#540	2
D₁₃×#535	2
D₁₃×#534	2
C₂×D₁₃×#127	2
D₁₃×#529	2
C₁₃×#3543	2
C₂×#3543	13

Subgroups — D13×#3543 #16770502

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3543 #16770502