Subgroups — #16745241

Order 3328.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128446	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128431	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127846	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127709	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127530	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127494	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127453	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127438	C₂	1	2	yes	maximal, complemented
9	#13127176	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127085	C₂	1	2	yes	maximal, complemented
11	#13127069	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127038	C₂	1	2	yes	maximal, complemented
13	#13126461	C₂	1	2	yes	maximal, complemented
14	#13126457	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125574	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125568	C₂	1	2	yes	maximal, complemented
17	#13124987	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124978	C₂	1	2	yes	maximal, complemented
19	#13124958	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124951	C₂	1	2	yes	maximal, complemented
21	#13123854	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123641	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	#11719534	C₂²	1	2	yes	—
28	#11719522	C₂²	1	2	yes	complemented
29	C₂×#88168	C₂²	1	2	yes	—
30	#11719290	—	2	1	no	—
31	#11719290	C₂²	1	1	yes	characteristic
32	#11719290	C₂²	1	1	yes	characteristic, complemented
33	#11719289	—	2	1	no	—
34	#11719289	C₂²	1	1	yes	characteristic
35	#11719285	—	2	2	no	—
36	#11719285	C₂²	1	2	yes	—
37	#11719285	C₂²	1	2	yes	complemented
38	#11719284	C₂²	1	1	yes	characteristic
39	#11719282	C₂²	1	1	yes	characteristic
40	C₄×#6131	C₂²	1	2	yes	complemented
41	#11719275	C₂²	1	1	yes	characteristic, complemented
42	#11719270	—	2	1	no	—
43	#11719255	—	2	1	no	—
44	D₄×D₅₂	C₂²	1	1	yes	characteristic
45	#11719252	—	2	2	no	—
46	C₄×D₄×D₁₃	C₂²	1	2	yes	—
47	#11719248	C₂²	1	1	yes	characteristic
48	#11719235	C₂²	1	2	yes	—
49	#11719232	—	2	2	no	—
50	#11719219	—	2	2	no	—
51	#11719219	C₂²	1	2	yes	complemented
52	#11719184	—	2	1	no	—
53	#11719182	—	2	1	no	—
54	#11719182	C₂²	1	1	yes	characteristic
55	#11719182	C₂²	1	1	yes	characteristic, complemented
56	C₄×#6127	—	2	1	no	—
57	C₄×#6127	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₅₂	—	2	1	no	—
59	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#440	C₂²	1	1	yes	characteristic
62	C₁₃×#440	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
64	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
67	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#417	C₂²	1	1	yes	characteristic
70	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
71	#11718899	C₂²	1	2	yes	—
72	#11718888	C₂²	1	2	yes	complemented
73	#11718852	C₂²	1	2	yes	complemented
74	#11718850	C₂²	1	2	yes	complemented
75	#11718848	C₂²	1	2	yes	complemented
76	#11718846	C₂²	1	2	yes	complemented
77	#11718830	C₂²	1	2	yes	—
78	#11718826	C₂²	1	2	yes	—
79	SD₁₆×Dic₁₃	C₂²	1	2	yes	—
80	#11718796	C₂²	1	2	yes	complemented
81	#11718796	C₂²	1	2	yes	complemented
82	#11718789	C₂²	1	2	yes	complemented
83	#11718789	C₂²	1	2	yes	complemented
84	#11718688	C₂²	1	1	yes	characteristic
85	#11718688	C₂²	1	1	yes	characteristic
86	#11718688	C₂²	1	1	yes	characteristic, complemented
87	#11718687	C₂²	1	2	yes	complemented
88	#11718687	C₂²	1	2	yes	complemented
89	#11718687	C₂²	1	2	yes	complemented
90	#11718682	C₂²	1	1	yes	characteristic, complemented
91	#11718682	C₂²	1	1	yes	characteristic, complemented
92	#11718681	C₂²	1	1	yes	characteristic, complemented
93	#11718676	C₂²	1	1	yes	characteristic
94	#11718675	C₂²	1	2	yes	—
95	#11718668	C₂²	1	1	yes	characteristic
96	#11718664	C₂²	1	2	yes	complemented
97	#11718628	C₂²	1	2	yes	complemented
98	#11718587	C₂²	1	1	yes	characteristic, complemented
99	#11718552	C₂²	1	2	yes	complemented
100	#11718543	C₂²	1	2	yes	complemented
101	#11718542	C₂²	1	2	yes	complemented
102	#11718533	C₂²	1	2	yes	complemented
103	#11718532	C₂²	1	2	yes	complemented
104	#11718527	C₂²	1	2	yes	—
105	#11718526	C₂²	1	2	yes	—
106	#11718519	C₂²	1	2	yes	complemented
107	#11718480	C₂²	1	2	yes	complemented
108	#11718480	C₂²	1	2	yes	complemented
109	#11718476	C₂²	1	2	yes	complemented
110	#11718473	C₂²	1	2	yes	—
111	#11718473	C₂²	1	2	yes	complemented
112	#11718472	C₂²	1	2	yes	—
113	#11718466	C₂²	1	2	yes	complemented
114	#11718464	C₂²	1	2	yes	complemented
115	#11718461	C₂²	1	2	yes	complemented
116	#11718461	C₂²	1	2	yes	complemented
117	#11718460	C₂²	1	2	yes	complemented
118	#11718449	C₂²	1	2	yes	complemented
119	#11718434	C₂²	1	2	yes	—
120	#11718431	C₂²	1	2	yes	—
121	#11718424	C₂²	1	2	yes	—
122	#11718417	C₂²	1	2	yes	—
123	#11718372	C₂²	1	2	yes	complemented
124	#11718372	C₂²	1	2	yes	complemented
125	#11718368	C₂²	1	2	yes	complemented
126	#11718366	C₂²	1	2	yes	complemented
127	#11718356	C₂²	1	1	yes	characteristic
128	#11718355	C₂²	1	1	yes	characteristic
129	#11718355	C₂²	1	1	yes	characteristic, complemented
130	#11718349	C₂²	1	1	yes	characteristic
131	#11718349	C₂²	1	1	yes	characteristic
132	#11718341	C₂²	1	1	yes	characteristic, complemented
133	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
134	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂×#6131	C₂³	1	2	yes	—
138	C₂×D₄×D₁₃	C₂³	1	2	yes	—
139	C₂×#6127	—	2	1	no	—
140	C₂×#6127	—	2	1	no	—
141	C₂×#6127	D₄	1	1	yes	characteristic
142	C₂²×D₅₂	—	2	1	no	—
143	C₂²×C₄×D₁₃	—	2	2	no	—
144	C₁₃×#137	—	2	4	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
151	C₄×Q₈×C₁₃	—	2	1	no	—
152	C₄×Q₈×C₁₃	—	2	1	no	—
153	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
154	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₄×D₄×C₁₃	—	2	1	no	—
160	C₄×D₄×C₁₃	—	2	1	no	—
161	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₁₃×#117	—	2	1	no	—
164	C₁₃×#117	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₄²×C₁₃	—	2	1	no	—
168	C₂×C₄²×C₁₃	—	2	1	no	—
169	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
170	#88201	—	2	2	no	—
171	#88201	C₂³	1	2	yes	—
172	#88201	C₂³	1	2	yes	—
173	#88200	—	2	2	no	—
174	#88200	C₂³	1	2	yes	—
175	#88200	C₂³	1	2	yes	—
176	Q₈×Dic₁₃	C₂³	1	2	yes	—
177	C₂×#6106	C₂³	1	2	yes	—
178	C₂×#6106	C₂³	1	2	yes	—
179	C₂×#6106	C₂³	1	2	yes	—
180	#88193	—	2	2	no	—
181	#88191	—	2	2	no	—
182	D₄×Dic₁₃	C₂³	1	2	yes	—
183	C₂×#6104	C₂³	1	2	yes	—
184	#88184	—	2	1	no	—
185	#88184	—	2	1	no	—
186	#88184	—	2	2	no	—
187	#88184	—	2	2	no	—
188	#88184	—	2	1	no	—
189	#88184	C₂³	1	2	yes	—
190	#88184	C₂³	1	2	yes	—
191	#88183	—	2	2	no	—
192	C₄×C₂²⋊D₁₃	—	2	2	no	—
193	C₄×C₂²⋊D₁₃	—	2	2	no	—
194	C₄×C₂²⋊D₁₃	—	2	2	no	—
195	C₄×C₂²⋊D₁₃	D₄	1	2	yes	—
196	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
197	C₂×#6103	—	2	2	no	—
198	#88180	D₄	1	1	yes	characteristic
199	C₂×C₄⋊Dic₁₃	—	2	1	no	—
200	#88178	—	2	1	no	—
201	#88168	—	2	8	no	—
202	C₂×D₁₀₄	C₂³	1	2	yes	—
203	C₂×D₁₀₄	C₂³	1	2	yes	—
204	C₂×#6094	C₂³	1	2	yes	—
205	C₂×#6094	C₂³	1	2	yes	—
206	#88152	—	2	2	no	—
207	#88152	—	2	2	no	—
208	#88152	—	2	2	no	—
209	#88152	—	2	2	no	—
210	#88150	—	2	2	no	—
211	#88149	—	2	2	no	—
212	#88149	C₂³	1	2	yes	—
213	#88149	C₂³	1	2	yes	—
214	#88148	—	2	2	no	—
215	#88148	—	2	2	no	—
216	#88148	—	2	2	no	—
217	#88148	—	2	2	no	—
218	#88148	—	2	2	no	—
219	#88147	—	2	2	no	—
220	#88147	C₂³	1	2	yes	—
221	#88147	C₂³	1	2	yes	—
222	#88146	—	2	2	no	—
223	#88146	C₂³	1	2	yes	—
224	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
225	#88144	—	2	2	no	—
226	#88144	C₂³	1	2	yes	—
227	#88144	C₂³	1	2	yes	—
228	#88138	—	2	2	no	—
229	#88137	—	2	2	no	—
230	#88136	—	2	2	no	—
231	#88135	—	2	2	no	—
232	C₂²⋊C₄×D₁₃	—	2	2	no	—
233	#88132	—	2	2	no	—
234	#88130	—	2	2	no	—
235	#88129	—	2	1	no	—
236	#88129	—	2	1	no	—
237	#88129	—	2	1	no	—
238	#88129	—	2	1	no	—
239	#88129	—	2	1	no	—
240	#88128	—	2	1	no	—
241	#88128	C₂³	1	1	yes	characteristic
242	#88128	C₂³	1	1	yes	characteristic
243	C₄×D₅₂	—	2	1	no	—
244	C₄×D₅₂	—	2	2	no	—
245	C₄×D₅₂	—	2	2	no	—
246	C₄×D₅₂	—	2	2	no	—
247	C₄×D₅₂	—	2	1	no	—
248	C₄×D₅₂	—	2	1	no	—
249	C₄×D₅₂	—	2	2	no	—
250	C₄×D₅₂	—	2	1	no	—
251	C₄×D₅₂	—	2	1	no	—
252	C₄×D₅₂	—	2	1	no	—
253	C₄×D₅₂	D₄	1	1	yes	characteristic
254	C₄×D₅₂	C₂³	1	1	yes	characteristic
255	C₄×D₅₂	C₂³	1	2	yes	—
256	C₄×D₅₂	C₂³	1	2	yes	—
257	#88126	—	2	2	no	—
258	#88126	—	2	2	no	—
259	#88126	D₄	1	2	yes	—
260	C₄²×D₁₃	—	2	2	no	—
261	C₄²×D₁₃	C₂³	1	2	yes	—
262	#88124	—	2	1	no	—
263	#88123	—	2	1	no	—
264	#88123	C₂³	1	1	yes	characteristic
265	#88123	C₂³	1	1	yes	characteristic
266	C₄×Dic₂₆	—	2	1	no	—
267	C₄×Dic₂₆	—	2	1	no	—
268	C₄×Dic₂₆	D₄	1	1	yes	characteristic
269	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#103	C₂³	1	1	yes	characteristic
275	C₁₃×#103	C₂³	1	1	yes	characteristic
276	C₁₃×#103	C₂³	1	1	yes	characteristic
277	C₁₃×#103	C₂³	1	1	yes	characteristic
278	C₁₃×#103	C₂³	1	1	yes	characteristic
279	C₁₃×#103	C₂³	1	1	yes	characteristic
280	C₁₃×#102	C₂³	1	1	yes	characteristic
281	C₁₃×#102	C₂³	1	1	yes	characteristic
282	C₁₃×#97	C₂³	1	1	yes	characteristic
283	C₁₃×#97	C₂³	1	1	yes	characteristic
284	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
286	#88075	C₂³	1	2	yes	—
287	#88075	C₂³	1	2	yes	—
288	#88075	C₂³	1	2	yes	—
289	#88072	C₂³	1	2	yes	—
290	C₂²⋊#1055	C₂³	1	2	yes	—
291	#88061	C₂³	1	2	yes	—
292	#88061	C₂³	1	2	yes	—
293	#88061	C₂³	1	2	yes	—
294	#88061	C₂³	1	2	yes	—
295	#88060	C₂³	1	2	yes	—
296	#88060	C₂³	1	2	yes	—
297	#88057	C₂³	1	2	yes	—
298	#88057	C₂³	1	2	yes	—
299	#88054	C₂³	1	2	yes	—
300	#88054	C₂³	1	2	yes	—
301	C₈×Dic₁₃	C₂³	1	2	yes	—
302	C₈×Dic₁₃	C₂³	1	2	yes	—
303	#88049	C₂³	1	2	yes	—
304	#88049	C₂³	1	2	yes	—
305	#88049	C₂³	1	2	yes	—
306	#88049	C₂³	1	2	yes	—
307	#88048	C₂³	1	2	yes	—
308	#88047	C₂³	1	2	yes	—
309	#88047	C₂³	1	2	yes	—
310	#88047	C₂³	1	2	yes	—
311	C₄⋊#1055	C₂³	1	1	yes	characteristic
312	C₄⋊#1055	C₂³	1	1	yes	characteristic
313	#88043	C₂³	1	2	yes	—
314	#61468	—	13	1	no	maximal, Sylow
315	C₂³×D₁₃	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	4	1	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	4	1	no	—
321	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂×D₄×C₁₃	—	2	1	no	—
325	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃	—	2	1	no	—
327	C₂²×C₄×C₁₃	—	2	1	no	—
328	C₂²×C₄×C₁₃	—	2	1	no	—
329	C₂²×C₄×C₁₃	—	2	1	no	—
330	C₂²×C₄×C₁₃	—	2	1	no	—
331	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₁₃	—	2	2	no	—
335	C₂×C₂²⋊D₁₃	—	2	2	no	—
336	C₂×C₂²⋊D₁₃	—	2	2	no	—
337	C₂×C₂²⋊D₁₃	C₂×D₄	1	2	yes	—
338	C₂²×Dic₁₃	—	2	2	no	—
339	#6131	—	2	4	no	—
340	#6131	—	4	2	no	—
341	D₄×D₁₃	—	2	4	no	—
342	D₄×D₁₃	—	4	2	no	—
343	#6127	—	4	2	no	—
344	#6127	—	4	4	no	—
345	#6127	—	8	2	no	—
346	C₂×D₅₂	—	2	2	no	—
347	C₂×D₅₂	—	2	2	no	—
348	C₂×D₅₂	—	2	1	no	—
349	C₂×D₅₂	—	2	1	no	—
350	C₂×D₅₂	—	2	2	no	—
351	C₂×D₅₂	—	2	1	no	—
352	C₂×D₅₂	—	2	1	no	—
353	C₂×D₅₂	—	4	4	no	—
354	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
355	C₂×D₅₂	C₂⁴	1	2	yes	—
356	C₂×D₅₂	C₂⁴	1	2	yes	—
357	C₂×C₄×D₁₃	—	2	2	no	—
358	C₂×C₄×D₁₃	—	2	2	no	—
359	C₂×C₄×D₁₃	—	2	2	no	—
360	C₂×C₄×D₁₃	—	2	2	no	—
361	C₂×C₄×D₁₃	—	2	2	no	—
362	C₂×C₄×D₁₃	—	2	2	no	—
363	C₂×C₄×D₁₃	—	8	4	no	—
364	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
365	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
366	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
367	C₂×Dic₂₆	—	2	1	no	—
368	C₂×Dic₂₆	—	2	1	no	—
369	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
370	C₁₃×Q₁₆	—	2	2	no	—
371	C₁₃×Q₁₆	—	2	2	no	—
372	C₁₃×SD₁₆	—	2	2	no	—
373	C₁₃×SD₁₆	#41	1	4	yes	complemented
374	C₁₃×M₁₆	—	2	2	no	—
375	C₁₃×M₁₆	—	4	1	no	—
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
388	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
389	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
390	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
391	C₁₃×C₂²⋊C₄	—	2	1	no	—
392	C₁₃×C₂²⋊C₄	—	2	1	no	—
393	C₁₃×C₂²⋊C₄	—	2	1	no	—
394	C₄²×C₁₃	—	2	1	no	—
395	C₄²×C₁₃	—	2	1	no	—
396	C₄²×C₁₃	—	2	1	no	—
397	C₄²×C₁₃	—	2	1	no	—
398	C₄²×C₁₃	—	2	1	no	—
399	C₄²×C₁₃	—	2	1	no	—
400	C₄²×C₁₃	—	2	1	no	—
401	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²⋊Dic₁₃	—	2	2	no	—
406	C₂²⋊Dic₁₃	C₂×D₄	1	2	yes	—
407	#6106	—	2	4	no	—
408	#6106	—	4	2	no	—
409	#6106	—	4	2	no	—
410	#6104	—	2	4	no	—
411	#6103	—	2	2	no	—
412	#6103	—	2	2	no	—
413	#6103	—	2	2	no	—
414	#6103	—	2	2	no	—
415	#6103	—	2	2	no	—
416	#6103	—	2	2	no	—
417	#6103	—	2	2	no	—
418	#6103	—	2	2	no	—
419	#6103	—	2	2	no	—
420	#6103	—	2	2	no	—
421	#6103	—	2	2	no	—
422	#6103	—	2	2	no	—
423	#6103	—	2	2	no	—
424	#6103	—	2	2	no	—
425	#6103	—	2	2	no	—
426	#6103	C₂×D₄	1	2	yes	—
427	#6103	C₂×D₄	1	2	yes	—
428	C₄⋊Dic₁₃	—	2	1	no	—
429	C₄⋊Dic₁₃	—	2	1	no	—
430	C₄⋊Dic₁₃	—	2	2	no	—
431	C₄⋊Dic₁₃	—	2	2	no	—
432	C₄⋊Dic₁₃	—	2	2	no	—
433	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
434	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
435	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
436	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
437	#6101	—	2	2	no	—
438	#6101	—	2	2	no	—
439	#6101	—	2	2	no	—
440	#6101	—	2	2	no	—
441	#6101	—	2	2	no	—
442	#6101	C₂×D₄	1	2	yes	—
443	#6101	C₂×D₄	1	2	yes	—
444	C₄×Dic₁₃	—	2	2	no	—
445	C₄×Dic₁₃	—	2	2	no	—
446	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
447	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
448	C₄×Dic₁₃	C₂⁴	1	2	yes	—
449	C₂×#1055	C₂⁴	1	2	yes	—
450	C₂×#1055	C₂⁴	1	2	yes	—
451	D₁₀₄	—	2	4	no	—
452	D₁₀₄	—	4	2	no	—
453	#6094	—	2	4	no	—
454	#6094	—	4	2	no	—
455	#3481	—	13	1	no	—
456	#3480	—	13	1	no	—
457	#3396	—	13	1	no	—
458	#3381	—	13	1	no	—
459	#3365	—	13	1	no	—
460	#3361	—	13	1	no	—
461	#3356	—	13	1	no	—
462	#3355	—	13	2	no	—
463	#3333	—	13	1	no	—
464	#3326	—	13	2	no	—
465	#3324	—	13	1	no	—
466	#3322	—	13	2	no	—
467	#3275	—	13	2	no	—
468	#3274	—	13	1	no	—
469	#3184	—	13	1	no	—
470	#3183	—	13	2	no	—
471	#3115	—	13	1	no	—
472	#3114	—	13	2	no	—
473	#3112	—	13	1	no	—
474	#3111	—	13	2	no	—
475	#2971	—	13	1	no	—
476	C₄×#137	D₁₃	1	1	yes	characteristic, complemented
477	C₄×AGL(1,ℤ/8)	—	13	2	no	—
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	C₂²×D₁₃	—	2	2	no	—
481	C₂²×D₁₃	—	2	2	no	—
482	C₂²×D₁₃	—	4	4	no	—
483	C₂²×D₁₃	—	4	4	no	—
484	C₂²×D₁₃	—	8	2	no	—
485	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	C₂×#41	1	2	yes	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	C₂×#41	1	2	yes	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	4	1	no	—
507	C₂×C₄×C₁₃	—	4	2	no	—
508	C₂×C₄×C₁₃	—	4	2	no	—
509	C₂×C₄×C₁₃	—	4	2	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	8	1	no	—
512	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
518	C₂²⋊D₁₃	—	4	2	no	—
519	C₂²⋊D₁₃	—	4	4	no	—
520	C₂²⋊D₁₃	—	4	4	no	—
521	C₂²⋊D₁₃	—	8	2	no	—
522	C₂×Dic₁₃	—	2	2	no	—
523	C₂×Dic₁₃	—	2	2	no	—
524	C₂×Dic₁₃	—	8	2	no	—
525	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
526	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
527	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
528	D₅₂	—	2	2	no	—
529	D₅₂	—	2	2	no	—
530	D₅₂	—	2	2	no	—
531	D₅₂	—	2	2	no	—
532	D₅₂	—	2	2	no	—
533	D₅₂	—	4	4	no	—
534	D₅₂	—	4	4	no	—
535	D₅₂	—	4	2	no	—
536	D₅₂	—	4	2	no	—
537	D₅₂	—	8	1	no	—
538	D₅₂	—	8	1	no	—
539	D₅₂	—	8	2	no	—
540	C₄×D₁₃	—	2	2	no	—
541	C₄×D₁₃	—	2	2	no	—
542	C₄×D₁₃	—	4	2	no	—
543	C₄×D₁₃	—	4	2	no	—
544	C₄×D₁₃	—	4	4	no	—
545	C₄×D₁₃	—	4	4	no	—
546	C₄×D₁₃	—	4	4	no	—
547	C₄×D₁₃	—	8	2	no	—
548	C₄×D₁₃	—	8	2	no	—
549	C₄×D₁₃	—	8	2	no	—
550	Dic₂₆	—	2	2	no	—
551	Dic₂₆	—	4	2	no	—
552	Dic₂₆	—	8	1	no	—
553	C₈×C₁₃	—	2	1	no	—
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	C₂×#41	1	2	yes	—
557	#1055	—	2	2	no	—
558	#1055	—	2	2	no	—
559	C₂×#137	C₂×D₁₃	1	1	yes	characteristic
560	C₂×AGL(1,ℤ/8)	—	13	2	no	—
561	#559	—	13	1	no	—
562	#559	—	13	1	no	—
563	#559	—	26	1	no	—
564	#557	—	13	1	no	—
565	#556	—	13	1	no	—
566	#556	—	26	1	no	—
567	#554	—	13	1	no	—
568	#554	—	13	1	no	—
569	#553	—	13	2	no	—
570	#553	—	13	2	no	—
571	#553	—	26	2	no	—
572	#553	—	26	1	no	—
573	#551	—	26	2	no	—
574	#550	—	13	1	no	—
575	#548	—	13	2	no	—
576	#546	—	13	2	no	—
577	#546	—	26	1	no	—
578	D₄²	—	13	1	no	—
579	#532	—	13	1	no	—
580	#532	—	13	1	no	—
581	#532	—	26	1	no	—
582	#529	—	13	2	no	—
583	#529	—	13	2	no	—
584	#529	—	26	1	no	—
585	#529	—	26	2	no	—
586	#525	—	26	2	no	—
587	C₄×#41	—	13	1	no	—
588	C₄×#41	—	13	2	no	—
589	C₄×#41	—	26	1	no	—
590	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
591	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
592	C₂×C₄×D₄	—	13	2	no	—
593	C₂×C₄×D₄	—	26	1	no	—
594	#499	—	13	2	no	—
595	#498	—	13	1	no	—
596	#495	—	13	2	no	—
597	#493	—	13	1	no	—
598	#488	—	13	2	no	—
599	#488	—	13	2	no	—
600	#486	—	13	1	no	—
601	#486	—	13	1	no	—
602	#485	—	13	2	no	—
603	#483	—	13	2	no	—
604	#482	—	13	2	no	—
605	#482	—	13	2	no	—
606	#480	—	13	2	no	—
607	#480	—	13	2	no	—
608	#479	—	13	2	no	—
609	#478	—	13	2	no	—
610	#478	—	13	2	no	—
611	#478	—	13	2	no	—
612	#477	—	13	1	no	—
613	#477	—	13	1	no	—
614	#475	—	13	1	no	—
615	#474	—	13	1	no	—
616	#470	—	13	2	no	—
617	#469	—	13	2	no	—
618	#469	—	13	2	no	—
619	#469	—	13	2	no	—
620	#468	—	13	2	no	—
621	#468	—	13	2	no	—
622	#464	—	13	2	no	—
623	#463	—	13	2	no	—
624	#463	—	13	2	no	—
625	#463	—	13	2	no	—
626	#460	—	13	1	no	—
627	#460	—	13	1	no	—
628	#460	—	13	1	no	—
629	#459	—	13	1	no	—
630	#452	—	13	2	no	—
631	#450	—	13	2	no	—
632	#449	—	13	2	no	—
633	#449	—	13	2	no	—
634	#448	—	13	2	no	—
635	#447	—	13	2	no	—
636	C₈×Q₈	—	13	1	no	—
637	C₈×Q₈	—	13	1	no	—
638	#442	—	13	2	no	—
639	#442	—	13	2	no	—
640	#442	—	13	2	no	—
641	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
642	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
643	#440	—	13	2	no	—
644	#440	—	13	2	no	—
645	#440	—	13	2	no	—
646	#440	C₂×D₁₃	1	1	yes	characteristic
647	#440	C₂×D₁₃	1	1	yes	characteristic
648	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
649	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
650	C₄×SD₁₆	—	13	2	no	—
651	C₄×SD₁₆	—	13	2	no	—
652	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
653	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
654	C₄×D₈	—	13	2	no	—
655	C₄×D₈	—	13	2	no	—
656	#436	—	13	2	no	—
657	#436	—	13	2	no	—
658	#436	—	13	1	no	—
659	#436	—	13	1	no	—
660	#432	—	13	1	no	—
661	#432	—	13	2	no	—
662	#428	—	13	2	no	—
663	#428	C₂×D₁₃	1	1	yes	characteristic, complemented
664	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
665	#418	—	13	2	no	—
666	#417	—	13	2	no	—
667	#417	C₂×D₁₃	1	1	yes	characteristic
668	C₄×M₁₆	—	13	2	no	—
669	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
677	C₂×D₁₃	—	2	2	no	—
678	C₂×D₁₃	—	2	2	no	—
679	C₂×D₁₃	—	2	2	no	—
680	C₂×D₁₃	—	4	2	no	—
681	C₂×D₁₃	—	4	2	no	—
682	C₂×D₁₃	—	4	2	no	—
683	C₂×D₁₃	—	4	2	no	—
684	C₂×D₁₃	—	4	2	no	—
685	C₂×D₁₃	—	4	2	no	—
686	C₂×D₁₃	—	8	8	no	—
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	#575	1	2	yes	—
699	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
700	C₄×C₁₃	#585	1	1	yes	characteristic
701	Dic₁₃	—	2	2	no	—
702	Dic₁₃	—	2	2	no	—
703	Dic₁₃	—	2	2	no	—
704	Dic₁₃	—	4	2	no	—
705	Dic₁₃	—	4	2	no	—
706	C₂×#41	—	13	1	no	—
707	C₂×#41	—	13	2	no	—
708	C₂×#41	—	26	1	no	—
709	C₂×#41	—	26	1	no	—
710	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
711	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
712	C₂²×D₄	—	13	2	no	—
713	C₂²×D₄	—	26	1	no	—
714	C₂³×C₄	—	26	2	no	—
715	#137	—	2	4	no	—
716	AGL(1,ℤ/8)	—	26	8	no	—
717	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
718	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
719	C₂×SD₁₆	—	13	2	no	—
720	C₂×SD₁₆	—	13	2	no	—
721	C₂×SD₁₆	—	13	2	no	—
722	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
723	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
724	C₂×D₈	—	13	2	no	—
725	C₂×D₈	—	13	2	no	—
726	C₂×D₈	—	13	2	no	—
727	C₂×M₁₆	—	13	2	no	—
728	C₂×M₁₆	—	13	2	no	—
729	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
730	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	—	13	1	no	—
732	C₄⋊Q₈	—	13	1	no	—
733	C₄⋊Q₈	—	26	1	no	—
734	#127	—	13	1	no	—
735	#127	—	13	1	no	—
736	#127	—	26	1	no	—
737	#126	—	26	2	no	—
738	#126	—	26	2	no	—
739	#126	—	26	2	no	—
740	#126	—	26	2	no	—
741	#126	—	26	2	no	—
742	#125	—	13	2	no	—
743	#125	—	13	2	no	—
744	#125	—	26	1	no	—
745	#125	—	26	2	no	—
746	#124	—	13	2	no	—
747	#124	—	13	2	no	—
748	#124	—	26	1	no	—
749	#124	—	26	1	no	—
750	#124	—	26	1	no	—
751	#124	—	26	2	no	—
752	#124	—	26	1	no	—
753	#124	—	26	1	no	—
754	#123	—	26	2	no	—
755	#123	—	26	2	no	—
756	#123	—	26	2	no	—
757	#123	—	26	2	no	—
758	#123	—	26	2	no	—
759	#123	—	26	2	no	—
760	#123	—	26	2	no	—
761	C₂²⋊Q₈	—	13	2	no	—
762	C₂²⋊Q₈	—	13	2	no	—
763	C₂²⋊Q₈	—	26	2	no	—
764	C₂²⋊Q₈	—	26	2	no	—
765	C₂²⋊Q₈	—	26	2	no	—
766	C₂²⋊Q₈	—	26	1	no	—
767	#121	—	13	2	no	—
768	#121	—	13	2	no	—
769	#121	—	13	2	no	—
770	#121	—	13	2	no	—
771	#121	—	26	2	no	—
772	#121	—	26	2	no	—
773	#121	—	26	2	no	—
774	#121	—	26	1	no	—
775	#121	—	26	2	no	—
776	#121	—	26	2	no	—
777	#121	—	26	1	no	—
778	#121	—	26	1	no	—
779	#120	—	26	2	no	—
780	#120	—	26	2	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	13	1	no	—
784	C₄×Q₈	—	13	1	no	—
785	C₄×Q₈	—	13	2	no	—
786	C₄×Q₈	—	26	1	no	—
787	C₄×Q₈	—	26	1	no	—
788	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
789	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
790	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
791	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
792	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
793	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	13	2	no	—
797	C₄×D₄	—	13	2	no	—
798	C₄×D₄	—	13	2	no	—
799	C₄×D₄	—	13	2	no	—
800	C₄×D₄	—	13	2	no	—
801	C₄×D₄	—	13	1	no	—
802	C₄×D₄	—	13	1	no	—
803	C₄×D₄	—	13	2	no	—
804	C₄×D₄	—	13	2	no	—
805	C₄×D₄	—	26	2	no	—
806	C₄×D₄	—	26	1	no	—
807	C₄×D₄	—	26	1	no	—
808	C₄×D₄	—	26	1	no	—
809	C₄×D₄	—	26	2	no	—
810	C₄×D₄	—	26	2	no	—
811	C₄×D₄	—	26	2	no	—
812	C₄×D₄	—	26	1	no	—
813	C₄×D₄	—	26	2	no	—
814	C₄×D₄	—	26	2	no	—
815	C₄×D₄	—	26	2	no	—
816	C₄×D₄	—	26	2	no	—
817	C₄×D₄	—	26	2	no	—
818	C₄×D₄	—	26	1	no	—
819	C₄×D₄	—	26	1	no	—
820	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
821	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
822	#117	—	2	1	no	—
823	#117	—	13	1	no	—
824	#117	—	13	2	no	—
825	#117	—	13	2	no	—
826	#117	—	26	2	no	—
827	#117	—	26	2	no	—
828	#117	—	26	2	no	—
829	#117	C₂²×D₁₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	—	2	1	no	—
831	C₂×C₄⋊C₄	—	13	2	no	—
832	C₂×C₄⋊C₄	—	26	1	no	—
833	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	—	26	2	no	—
835	C₂×C₂²⋊C₄	—	26	2	no	—
836	C₂×C₄²	—	2	1	no	—
837	C₂×C₄²	—	2	1	no	—
838	C₂×C₄²	—	13	2	no	—
839	C₂×C₄²	—	26	2	no	—
840	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
841	#107	—	13	2	no	—
842	#107	—	13	2	no	—
843	#107	—	13	2	no	—
844	#107	C₂²×D₁₃	1	1	yes	characteristic
845	#107	C₂²×D₁₃	1	1	yes	characteristic
846	#106	—	13	2	no	—
847	#106	—	13	2	no	—
848	#106	—	13	2	no	—
849	#106	C₂²×D₁₃	1	1	yes	characteristic
850	#106	C₂²×D₁₃	1	1	yes	characteristic
851	C₄⋊C₈	—	13	2	no	—
852	C₄⋊C₈	—	13	2	no	—
853	C₄⋊C₈	—	13	1	no	—
854	C₄⋊C₈	—	13	1	no	—
855	#103	—	13	2	no	—
856	#103	—	13	2	no	—
857	#103	—	13	2	no	—
858	#103	C₂²×D₁₃	1	1	yes	characteristic
859	#103	C₂²×D₁₃	1	1	yes	characteristic
860	#103	C₂²×D₁₃	1	1	yes	characteristic
861	#103	C₂²×D₁₃	1	1	yes	characteristic
862	#103	C₂²×D₁₃	1	1	yes	characteristic
863	#103	C₂²×D₁₃	1	1	yes	characteristic
864	#102	—	13	2	no	—
865	#102	—	13	2	no	—
866	#102	—	13	2	no	—
867	#102	—	13	2	no	—
868	#102	—	13	2	no	—
869	#102	—	13	2	no	—
870	#102	—	13	2	no	—
871	#102	—	13	2	no	—
872	#102	—	13	2	no	—
873	#102	C₂²×D₁₃	1	1	yes	characteristic
874	#102	C₂²×D₁₃	1	1	yes	characteristic
875	C₂²⋊C₈	—	13	2	no	—
876	C₂²⋊C₈	—	13	2	no	—
877	C₂²⋊C₈	—	13	2	no	—
878	#97	—	13	2	no	—
879	#97	C₂²×D₁₃	1	1	yes	characteristic
880	#97	C₂²×D₁₃	1	1	yes	characteristic
881	C₄×C₈	—	13	2	no	—
882	C₄×C₈	—	13	2	no	—
883	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
884	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
885	C₂×C₁₃	—	4	2	no	—
886	C₂×C₁₃	—	4	1	no	—
887	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
888	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
889	C₂×C₁₃	#3585	1	1	yes	characteristic
890	D₁₃	—	4	2	no	—
891	D₁₃	—	8	2	no	—
892	D₁₃	—	8	2	no	—
893	C₂⁴	—	26	2	no	—
894	#41	—	2	2	no	—
895	#41	—	4	1	no	—
896	#41	—	26	4	no	—
897	#41	—	52	2	no	—
898	#41	—	52	4	no	—
899	#41	—	52	2	no	—
900	#41	—	104	2	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	4	1	no	—
904	C₂×Q₈	—	13	1	no	—
905	C₂×Q₈	—	26	1	no	—
906	C₂×Q₈	—	26	1	no	—
907	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
909	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	13	2	no	—
912	C₂×D₄	—	13	1	no	—
913	C₂×D₄	—	13	2	no	—
914	C₂×D₄	—	13	2	no	—
915	C₂×D₄	—	26	2	no	—
916	C₂×D₄	—	26	2	no	—
917	C₂×D₄	—	26	2	no	—
918	C₂×D₄	—	26	2	no	—
919	C₂×D₄	—	26	4	no	—
920	C₂×D₄	—	26	2	no	—
921	C₂×D₄	—	26	2	no	—
922	C₂×D₄	—	26	1	no	—
923	C₂×D₄	—	26	1	no	—
924	C₂×D₄	—	26	1	no	—
925	C₂×D₄	—	26	1	no	—
926	C₂×D₄	—	52	4	no	—
927	C₂×D₄	—	52	2	no	—
928	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	13	2	no	—
935	C₂²×C₄	—	13	2	no	—
936	C₂²×C₄	—	13	2	no	—
937	C₂²×C₄	—	26	2	no	—
938	C₂²×C₄	—	26	2	no	—
939	C₂²×C₄	—	26	2	no	—
940	C₂²×C₄	—	26	2	no	—
941	C₂²×C₄	—	26	2	no	—
942	C₂²×C₄	—	26	2	no	—
943	C₂²×C₄	—	26	2	no	—
944	C₂²×C₄	—	104	4	no	—
945	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
946	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
947	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
948	Q₁₆	—	2	2	no	—
949	Q₁₆	—	2	2	no	—
950	SD₁₆	—	2	2	no	—
951	SD₁₆	—	26	4	no	—
952	SD₁₆	—	52	2	no	—
953	SD₁₆	—	52	2	no	—
954	SD₁₆	#6127	1	4	yes	complemented
955	D₈	—	26	4	no	—
956	D₈	—	26	4	no	—
957	D₈	—	52	2	no	—
958	M₁₆	—	2	2	no	—
959	M₁₆	—	4	1	no	—
960	M₁₆	—	26	4	no	—
961	M₁₆	—	52	2	no	—
962	C₂×C₈	—	13	2	no	—
963	C₂×C₈	—	13	2	no	—
964	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
965	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
966	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
967	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	13	1	no	—
976	C₄⋊C₄	—	13	1	no	—
977	C₄⋊C₄	—	13	2	no	—
978	C₄⋊C₄	—	13	2	no	—
979	C₄⋊C₄	—	13	2	no	—
980	C₄⋊C₄	—	13	2	no	—
981	C₄⋊C₄	—	26	2	no	—
982	C₄⋊C₄	—	26	2	no	—
983	C₄⋊C₄	—	26	2	no	—
984	C₄⋊C₄	—	26	2	no	—
985	C₄⋊C₄	—	26	2	no	—
986	C₄⋊C₄	—	26	2	no	—
987	C₄⋊C₄	—	26	2	no	—
988	C₄⋊C₄	—	26	2	no	—
989	C₄⋊C₄	—	26	1	no	—
990	C₄⋊C₄	—	26	1	no	—
991	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
992	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	13	2	no	—
999	C₂²⋊C₄	—	13	2	no	—
1000	C₂²⋊C₄	—	13	2	no	—
1001	C₂²⋊C₄	—	26	2	no	—
1002	C₂²⋊C₄	—	26	2	no	—
1003	C₂²⋊C₄	—	26	2	no	—
1004	C₂²⋊C₄	—	26	2	no	—
1005	C₂²⋊C₄	—	26	2	no	—
1006	C₂²⋊C₄	—	26	2	no	—
1007	C₂²⋊C₄	—	26	2	no	—
1008	C₂²⋊C₄	—	26	2	no	—
1009	C₂²⋊C₄	—	26	2	no	—
1010	C₂²⋊C₄	—	26	2	no	—
1011	C₂²⋊C₄	—	26	2	no	—
1012	C₂²⋊C₄	—	26	2	no	—
1013	C₂²⋊C₄	—	26	2	no	—
1014	C₂²⋊C₄	—	26	2	no	—
1015	C₂²⋊C₄	—	26	2	no	—
1016	C₂²⋊C₄	—	26	2	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	13	2	no	—
1025	C₄²	—	13	2	no	—
1026	C₄²	—	13	2	no	—
1027	C₄²	—	26	2	no	—
1028	C₄²	—	26	2	no	—
1029	C₄²	D₄×D₁₃	1	1	yes	characteristic
1030	C₄²	D₄×D₁₃	1	1	yes	characteristic
1031	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1032	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1033	C₁₃	#61468	1	1	yes	characteristic, complemented, Sylow
1034	C₂³	—	2	1	no	—
1035	C₂³	—	13	2	no	—
1036	C₂³	—	26	2	no	—
1037	C₂³	—	26	2	no	—
1038	C₂³	—	52	4	no	—
1039	C₂³	—	52	4	no	—
1040	C₂³	—	104	2	no	—
1041	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	1	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	4	2	no	—
1048	Q₈	—	26	2	no	—
1049	Q₈	—	52	2	no	—
1050	Q₈	—	104	1	no	—
1051	Q₈	C₂×#6127	1	2	yes	—
1052	D₄	—	2	1	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	26	2	no	—
1055	D₄	—	26	2	no	—
1056	D₄	—	26	2	no	—
1057	D₄	—	26	2	no	—
1058	D₄	—	26	2	no	—
1059	D₄	—	52	4	no	—
1060	D₄	—	52	4	no	—
1061	D₄	—	52	2	no	—
1062	D₄	—	52	4	no	—
1063	D₄	—	52	4	no	—
1064	D₄	—	52	2	no	—
1065	D₄	—	52	2	no	—
1066	D₄	—	104	1	no	—
1067	D₄	—	104	1	no	—
1068	D₄	—	104	2	no	—
1069	D₄	—	104	2	no	—
1070	D₄	C₂×#6127	1	2	yes	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	4	1	no	—
1082	C₂×C₄	—	4	2	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	8	1	no	—
1087	C₂×C₄	—	13	2	no	—
1088	C₂×C₄	—	13	2	no	—
1089	C₂×C₄	—	13	2	no	—
1090	C₂×C₄	—	26	2	no	—
1091	C₂×C₄	—	26	2	no	—
1092	C₂×C₄	—	26	2	no	—
1093	C₂×C₄	—	26	2	no	—
1094	C₂×C₄	—	52	2	no	—
1095	C₂×C₄	—	52	2	no	—
1096	C₂×C₄	—	52	4	no	—
1097	C₂×C₄	—	52	4	no	—
1098	C₂×C₄	—	52	4	no	—
1099	C₂×C₄	—	104	2	no	—
1100	C₂×C₄	—	104	2	no	—
1101	C₂×C₄	—	104	2	no	—
1102	C₂×C₄	—	104	2	no	—
1103	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1104	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1105	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1108	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	26	2	no	—
1113	C₈	—	26	2	no	—
1114	C₈	C₂×#6127	1	2	yes	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	26	2	no	—
1122	C₂²	—	26	2	no	—
1123	C₂²	—	26	2	no	—
1124	C₂²	—	52	2	no	—
1125	C₂²	—	52	2	no	—
1126	C₂²	—	52	2	no	—
1127	C₂²	—	52	2	no	—
1128	C₂²	—	52	2	no	—
1129	C₂²	—	52	2	no	—
1130	C₂²	—	104	8	no	—
1131	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	26	2	no	—
1144	C₄	—	26	2	no	—
1145	C₄	—	26	2	no	—
1146	C₄	—	52	2	no	—
1147	C₄	—	52	2	no	—
1148	C₄	#11719482	1	2	yes	—
1149	C₄	C₂²×#6127	1	1	yes	characteristic
1150	C₄	#11719648	1	1	yes	characteristic
1151	C₂	—	4	1	no	—
1152	C₂	—	4	2	no	—
1153	C₂	—	52	2	no	—
1154	C₂	—	104	2	no	—
1155	C₂	—	104	2	no	—
1156	C₂	D₄×#6127	1	1	yes	characteristic
1157	C₂	C₂×#11719482	1	1	yes	characteristic
1158	C₂	#13129613	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₄×C₁₃×#137	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	C₄×#137	D₁₃
hypocenter	C₁₃	#61468
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₄×#137

Complements

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

N	H ≅ G/N	type
1. #13128446	C₂	semidirect
2. #13128431	C₂	semidirect
3. #13127846	C₂	semidirect
4. #13127709	C₂	semidirect
5. #13127530	C₂	semidirect
6. #13127494	C₂	semidirect
7. #13127453	C₂	semidirect
8. #13127438	C₂	semidirect
9. #13127176	C₂	semidirect
10. #13127085	C₂	semidirect
11. #13127069	C₂	semidirect
12. #13127038	C₂	semidirect
13. #13126461	C₂	semidirect
14. #13126457	C₂	semidirect
15. #13125574	C₂	semidirect
16. #13125568	C₂	semidirect
17. #13124987	C₂	semidirect
18. #13124978	C₂	semidirect
19. #13124958	C₂	semidirect
20. #13124951	C₂	semidirect
21. #13123854	C₂	semidirect
22. #13123641	C₂	semidirect
23. C₄×C₁₃×#137	C₂	semidirect
26. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
28. #11719522	C₂²	semidirect
32. #11719290	C₂²	semidirect
37. #11719285	C₂²	semidirect
40. C₄×#6131	C₂²	semidirect
41. #11719275	C₂²	semidirect
51. #11719219	C₂²	semidirect
55. #11719182	C₂²	semidirect
59. C₁₃×#441	C₂²	semidirect
60. C₁₃×#441	C₂²	semidirect
63. C₄×C₁₃×Q₁₆	C₂²	semidirect
64. C₄×C₁₃×Q₁₆	C₂²	semidirect
67. C₁₃×#428	C₂²	semidirect
68. C₁₃×#419	C₂²	semidirect
70. C₄×C₁₃×M₁₆	C₂²	semidirect
72. #11718888	C₂²	semidirect
73. #11718852	C₂²	semidirect
74. #11718850	C₂²	semidirect
75. #11718848	C₂²	semidirect
76. #11718846	C₂²	semidirect
80. #11718796	C₂²	semidirect
81. #11718796	C₂²	semidirect
82. #11718789	C₂²	semidirect
83. #11718789	C₂²	semidirect
86. #11718688	C₂²	semidirect
87. #11718687	C₂²	semidirect
88. #11718687	C₂²	semidirect
89. #11718687	C₂²	semidirect
90. #11718682	C₂²	semidirect
91. #11718682	C₂²	semidirect
92. #11718681	C₂²	semidirect
96. #11718664	C₂²	semidirect
97. #11718628	C₂²	semidirect
98. #11718587	C₂²	semidirect
99. #11718552	C₂²	semidirect
100. #11718543	C₂²	semidirect
101. #11718542	C₂²	semidirect
102. #11718533	C₂²	semidirect
103. #11718532	C₂²	semidirect
106. #11718519	C₂²	semidirect
107. #11718480	C₂²	semidirect
108. #11718480	C₂²	semidirect
109. #11718476	C₂²	semidirect
111. #11718473	C₂²	semidirect
113. #11718466	C₂²	semidirect
114. #11718464	C₂²	semidirect
115. #11718461	C₂²	semidirect
116. #11718461	C₂²	semidirect
117. #11718460	C₂²	semidirect
118. #11718449	C₂²	semidirect
123. #11718372	C₂²	semidirect
124. #11718372	C₂²	semidirect
125. #11718368	C₂²	semidirect
126. #11718366	C₂²	semidirect
129. #11718355	C₂²	semidirect
132. #11718341	C₂²	semidirect
133. C₈×Dic₂₆	C₂²	semidirect
134. C₈×Dic₂₆	C₂²	semidirect
373. C₁₃×SD₁₆	#41	semidirect
476. C₄×#137	D₁₃	semidirect
591. C₂×C₄×Q₈	C₂×D₁₃	semidirect
641. #441	C₂×D₁₃	semidirect
642. #441	C₂×D₁₃	semidirect
648. C₄×Q₁₆	C₂×D₁₃	semidirect
649. C₄×Q₁₆	C₂×D₁₃	semidirect
663. #428	C₂×D₁₃	semidirect
664. #419	C₂×D₁₃	semidirect
669. C₄×M₁₆	C₂×D₁₃	semidirect
954. SD₁₆	#6127	semidirect
1033. C₁₃	#61468	semidirect

Maximal subgroups

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

subgroup	index
#13128446	2
#13128431	2
#13127846	2
#13127709	2
#13127530	2
#13127494	2
#13127453	2
#13127438	2
#13127176	2
#13127085	2
#13127069	2
#13127038	2
#13126461	2
#13126457	2
#13125574	2
#13125568	2
#13124987	2
#13124978	2
#13124958	2
#13124951	2
#13123854	2
#13123641	2
C₄×C₁₃×#137	2
#61468	13