Subgroups — #16745502

Order 3328.

1880 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	#13128932	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128868	C₂	1	1	yes	maximal, characteristic
3	#13127815	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127709	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127615	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127563	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127251	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127211	C₂	1	2	yes	maximal, complemented
9	#13127132	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127069	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127003	C₂	1	2	yes	maximal, complemented
12	#13126853	C₂	1	2	yes	maximal, complemented
13	SD₁₆×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
14	SD₁₆×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
15	#13125460	C₂	1	2	yes	maximal, complemented
16	#13125395	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125124	C₂	1	2	yes	maximal, complemented
18	#13125085	C₂	1	2	yes	maximal, complemented
19	#13124958	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124935	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123811	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123690	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
27	Q₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
28	D₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
29	#11719496	—	2	1	no	—
30	C₂×#88184	—	2	1	no	—
31	C₂×SD₁₆×D₁₃	C₂²	1	2	yes	—
32	#11719289	—	2	1	no	—
33	#11719289	C₂²	1	1	yes	characteristic, complemented
34	#11719288	—	2	2	no	—
35	#11719288	C₂²	1	2	yes	complemented
36	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
37	#11719277	C₂²	1	2	yes	complemented
38	#11719275	C₂²	1	1	yes	characteristic, complemented
39	#11719272	—	2	1	no	—
40	#11719272	C₂²	1	1	yes	characteristic, complemented
41	#11719270	—	2	1	no	—
42	#11719268	C₂²	1	1	yes	characteristic
43	#11719267	C₂²	1	2	yes	—
44	#11719265	—	2	2	no	—
45	#11719258	C₂²	1	1	yes	characteristic
46	#11719255	—	2	1	no	—
47	D₄×D₅₂	C₂²	1	1	yes	characteristic
48	#11719250	C₂²	1	2	yes	—
49	#11719248	C₂²	1	1	yes	characteristic
50	#11719219	C₂²	1	2	yes	—
51	#11719218	—	2	2	no	—
52	#11719218	C₂²	1	2	yes	complemented
53	#11719195	—	2	2	no	—
54	#11719184	—	2	1	no	—
55	#11719184	C₂²	1	1	yes	characteristic
56	#11719182	C₂²	1	1	yes	characteristic
57	#11719175	—	2	1	no	—
58	#11719175	C₂²	1	1	yes	characteristic, complemented
59	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
64	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
70	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
71	#11718888	C₂²	1	2	yes	complemented
72	#11718879	C₂²	1	2	yes	—
73	#11718836	C₂²	1	2	yes	complemented
74	#11718832	C₂²	1	2	yes	complemented
75	#11718831	C₂²	1	2	yes	complemented
76	#11718830	C₂²	1	2	yes	—
77	#11718824	C₂²	1	2	yes	complemented
78	#11718823	C₂²	1	2	yes	—
79	SD₁₆×Dic₁₃	C₂²	1	2	yes	—
80	#11718775	C₂²	1	2	yes	complemented
81	#11718775	C₂²	1	2	yes	complemented
82	#11718772	C₂²	1	2	yes	complemented
83	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
84	#11718688	C₂²	1	1	yes	characteristic, complemented
85	#11718688	C₂²	1	1	yes	characteristic, complemented
86	#11718687	C₂²	1	2	yes	complemented
87	#11718687	C₂²	1	2	yes	complemented
88	#11718682	C₂²	1	1	yes	characteristic, complemented
89	#11718682	C₂²	1	1	yes	characteristic, complemented
90	#11718680	C₂²	1	1	yes	characteristic
91	#11718680	C₂²	1	1	yes	characteristic, complemented
92	#11718679	C₂²	1	2	yes	—
93	#11718679	C₂²	1	2	yes	complemented
94	#11718668	C₂²	1	1	yes	characteristic
95	#11718668	C₂²	1	1	yes	characteristic, complemented
96	#11718631	C₂²	1	2	yes	complemented
97	#11718628	C₂²	1	2	yes	complemented
98	#11718587	C₂²	1	1	yes	characteristic, complemented
99	#11718532	C₂²	1	2	yes	complemented
100	#11718528	C₂²	1	2	yes	complemented
101	#11718527	C₂²	1	2	yes	complemented
102	#11718525	C₂²	1	2	yes	complemented
103	#11718521	C₂²	1	2	yes	complemented
104	#11718519	C₂²	1	2	yes	complemented
105	#11718518	C₂²	1	2	yes	complemented
106	#11718513	C₂²	1	2	yes	complemented
107	#11718479	C₂²	1	2	yes	complemented
108	#11718478	C₂²	1	2	yes	complemented
109	#11718476	C₂²	1	2	yes	complemented
110	#11718473	C₂²	1	2	yes	complemented
111	#11718467	C₂²	1	2	yes	complemented
112	#11718463	C₂²	1	2	yes	complemented
113	#11718460	C₂²	1	2	yes	complemented
114	#11718458	C₂²	1	2	yes	complemented
115	#11718441	C₂²	1	2	yes	complemented
116	#11718440	C₂²	1	2	yes	complemented
117	#11718437	C₂²	1	2	yes	—
118	#11718431	C₂²	1	2	yes	—
119	#11718425	C₂²	1	2	yes	complemented
120	#11718424	C₂²	1	2	yes	—
121	#11718423	C₂²	1	2	yes	complemented
122	#11718418	C₂²	1	2	yes	—
123	#11718355	C₂²	1	1	yes	characteristic, complemented
124	#11718354	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6095	C₂²	1	2	yes	complemented
126	C₄×#6095	C₂²	1	2	yes	complemented
127	#11718351	C₂²	1	2	yes	complemented
128	#11718350	C₂²	1	2	yes	complemented
129	#11718349	C₂²	1	1	yes	characteristic, complemented
130	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
131	#11718342	C₂²	1	1	yes	characteristic, complemented
132	#11718341	C₂²	1	1	yes	characteristic, complemented
133	#11718340	C₂²	1	1	yes	characteristic, complemented
134	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
135	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	—	2	1	no	—
138	C₂²×C₂²⋊D₁₃	—	2	2	no	—
139	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
140	C₂×D₄×D₁₃	C₂³	1	2	yes	—
141	C₂×#6127	—	2	1	no	—
142	C₂×#6127	—	2	1	no	—
143	C₂²×D₅₂	—	2	1	no	—
144	C₂×C₁₃×SD₁₆	—	2	4	no	—
145	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	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×D₄×C₁₃	—	2	1	no	—
158	C₄×D₄×C₁₃	—	2	1	no	—
159	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
160	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
161	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
167	C₂×C₄²×C₁₃	—	2	1	no	—
168	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
169	#88207	—	2	2	no	—
170	#88200	—	2	2	no	—
171	#88200	C₂³	1	2	yes	—
172	Q₈×Dic₁₃	C₂³	1	2	yes	—
173	#88198	—	2	2	no	—
174	#88198	C₂³	1	2	yes	—
175	C₂×#6106	C₂³	1	2	yes	—
176	C₂×#6106	C₂³	1	2	yes	—
177	#88194	C₂³	1	2	yes	—
178	#88193	—	2	2	no	—
179	#88192	C₂³	1	2	yes	—
180	#88191	—	2	2	no	—
181	D₄×Dic₁₃	C₂³	1	2	yes	—
182	C₂×#6105	C₂³	1	2	yes	—
183	C₂×#6105	C₂³	1	2	yes	—
184	#88184	—	2	1	no	—
185	#88184	—	2	2	no	—
186	#88184	—	2	1	no	—
187	#88184	—	2	2	no	—
188	#88184	—	2	1	no	—
189	#88184	—	2	1	no	—
190	#88184	D₄	1	1	yes	characteristic
191	#88184	C₂³	1	2	yes	—
192	#88183	—	2	2	no	—
193	#88183	—	2	2	no	—
194	#88183	D₄	1	2	yes	—
195	C₄×C₂²⋊D₁₃	—	2	2	no	—
196	C₄×C₂²⋊D₁₃	—	2	2	no	—
197	C₄×C₂²⋊D₁₃	—	2	2	no	—
198	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
199	C₂×#6103	—	2	2	no	—
200	#88180	—	2	1	no	—
201	#88180	—	2	2	no	—
202	#88180	—	2	1	no	—
203	C₂×C₄⋊Dic₁₃	—	2	1	no	—
204	#88178	—	2	1	no	—
205	#88178	—	2	1	no	—
206	#88178	—	2	2	no	—
207	#88178	D₄	1	1	yes	characteristic
208	#88178	C₂³	1	2	yes	—
209	SD₁₆×D₁₃	—	2	8	no	—
210	C₂×#6095	C₂³	1	2	yes	—
211	C₂×#6095	C₂³	1	2	yes	—
212	C₂×#6094	C₂³	1	2	yes	—
213	C₂×C₈×D₁₃	C₂³	1	2	yes	—
214	#88152	—	2	2	no	—
215	#88152	—	2	2	no	—
216	#88152	—	2	2	no	—
217	#88152	—	2	2	no	—
218	#88151	—	2	2	no	—
219	#88151	C₂³	1	2	yes	—
220	#88149	C₂³	1	2	yes	—
221	#88148	—	2	2	no	—
222	#88147	C₂³	1	2	yes	—
223	#88146	—	2	2	no	—
224	#88146	C₂³	1	2	yes	—
225	#88146	C₂³	1	2	yes	—
226	#88144	—	2	2	no	—
227	#88144	C₂³	1	2	yes	—
228	#88144	C₂³	1	2	yes	—
229	#88143	—	2	2	no	—
230	#88143	—	2	2	no	—
231	#88143	—	2	2	no	—
232	#88141	—	2	2	no	—
233	#88141	C₂³	1	2	yes	—
234	#88139	—	2	2	no	—
235	#88138	—	2	2	no	—
236	#88138	—	2	2	no	—
237	#88137	—	2	2	no	—
238	#88136	—	2	2	no	—
239	#88135	—	2	2	no	—
240	C₂²⋊C₄×D₁₃	—	2	2	no	—
241	#88132	—	2	2	no	—
242	#88130	—	2	2	no	—
243	#88130	D₄	1	2	yes	—
244	#88129	—	2	1	no	—
245	#88129	—	2	1	no	—
246	#88129	D₄	1	1	yes	characteristic
247	#88128	C₂³	1	1	yes	characteristic
248	C₄×D₅₂	—	2	1	no	—
249	C₄×D₅₂	—	2	1	no	—
250	C₄×D₅₂	C₂³	1	1	yes	characteristic
251	C₄×D₅₂	C₂³	1	2	yes	—
252	#88126	—	2	2	no	—
253	#88126	C₂³	1	2	yes	—
254	#88124	—	2	1	no	—
255	#88124	—	2	1	no	—
256	#88124	—	2	2	no	—
257	#88124	D₄	1	1	yes	characteristic
258	#88123	—	2	1	no	—
259	#88123	—	2	1	no	—
260	#88123	C₂³	1	1	yes	characteristic
261	#88123	C₂³	1	1	yes	characteristic
262	#88123	C₂³	1	1	yes	characteristic
263	C₄×Dic₂₆	—	2	1	no	—
264	C₄×Dic₂₆	—	2	1	no	—
265	C₄×Dic₂₆	—	2	1	no	—
266	C₄×Dic₂₆	—	2	1	no	—
267	C₄×Dic₂₆	—	2	2	no	—
268	C₄×Dic₂₆	C₂³	1	2	yes	—
269	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	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×#102	C₂³	1	1	yes	characteristic
279	C₁₃×#102	C₂³	1	1	yes	characteristic
280	C₁₃×#102	C₂³	1	1	yes	characteristic
281	C₁₃×#102	C₂³	1	1	yes	characteristic
282	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×C₈×C₁₃	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	#88072	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	#88060	C₂³	1	2	yes	—
294	#88060	C₂³	1	2	yes	—
295	#88057	C₂³	1	2	yes	—
296	#88057	C₂³	1	2	yes	—
297	#88056	C₂³	1	2	yes	—
298	#88056	C₂³	1	2	yes	—
299	#88055	C₂³	1	2	yes	—
300	#88054	C₂³	1	2	yes	—
301	#88054	C₂³	1	2	yes	—
302	C₈×Dic₁₃	C₂³	1	2	yes	—
303	#88050	C₂³	1	2	yes	—
304	#88050	C₂³	1	2	yes	—
305	#88049	C₂³	1	2	yes	—
306	#88049	C₂³	1	2	yes	—
307	#88047	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	#61481	—	13	1	no	maximal, Sylow
315	C₂⁴×C₁₃	—	2	1	no	—
316	C₂³×D₁₃	—	2	2	no	—
317	C₂×Q₈×C₁₃	—	2	1	no	—
318	C₂×Q₈×C₁₃	—	2	2	no	—
319	C₂×Q₈×C₁₃	—	4	1	no	—
320	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₁₃	—	2	2	no	—
323	C₂×D₄×C₁₃	—	2	1	no	—
324	C₂×D₄×C₁₃	—	4	1	no	—
325	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
332	C₂²×C₄×C₁₃	—	2	1	no	—
333	C₂²×C₄×C₁₃	—	2	1	no	—
334	C₂²×C₄×C₁₃	—	8	2	no	—
335	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×C₂²⋊D₁₃	—	2	2	no	—
339	C₂×C₂²⋊D₁₃	—	2	2	no	—
340	C₂×C₂²⋊D₁₃	—	2	2	no	—
341	C₂×C₂²⋊D₁₃	—	2	2	no	—
342	C₂×C₂²⋊D₁₃	—	2	2	no	—
343	C₂×C₂²⋊D₁₃	—	8	4	no	—
344	C₂×C₂²⋊D₁₃	C₂×D₄	1	2	yes	—
345	C₂²×Dic₁₃	—	2	2	no	—
346	Q₈×D₁₃	—	2	4	no	—
347	Q₈×D₁₃	—	4	2	no	—
348	D₄×D₁₃	—	2	4	no	—
349	D₄×D₁₃	—	4	2	no	—
350	#6127	—	8	2	no	—
351	#6127	—	8	2	no	—
352	C₂×D₅₂	—	2	1	no	—
353	C₂×D₅₂	—	2	2	no	—
354	C₂×D₅₂	—	2	1	no	—
355	C₂×D₅₂	—	8	2	no	—
356	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
357	C₂×D₅₂	C₂⁴	1	2	yes	—
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	C₂⁴	1	2	yes	—
362	C₂×Dic₂₆	—	2	1	no	—
363	C₂×Dic₂₆	—	2	2	no	—
364	C₂×Dic₂₆	—	2	1	no	—
365	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
366	C₂×Dic₂₆	C₂⁴	1	2	yes	—
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×SD₁₆	—	2	2	no	—
369	C₁₃×SD₁₆	—	2	2	no	—
370	C₁₃×SD₁₆	#41	1	4	yes	complemented
371	C₂×C₈×C₁₃	—	2	2	no	—
372	C₂×C₈×C₁₃	—	4	1	no	—
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₁₃×C₄⋊C₄	—	2	1	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
384	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
386	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
387	C₁₃×C₂²⋊C₄	—	2	1	no	—
388	C₁₃×C₂²⋊C₄	—	2	1	no	—
389	C₁₃×C₂²⋊C₄	—	2	1	no	—
390	C₁₃×C₂²⋊C₄	—	2	1	no	—
391	C₄²×C₁₃	—	2	1	no	—
392	C₄²×C₁₃	—	2	1	no	—
393	C₄²×C₁₃	—	2	1	no	—
394	C₄²×C₁₃	—	2	1	no	—
395	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²⋊Dic₁₃	—	2	2	no	—
400	C₂²⋊Dic₁₃	—	2	2	no	—
401	C₂²⋊Dic₁₃	—	2	2	no	—
402	C₂²⋊Dic₁₃	C₂×D₄	1	2	yes	—
403	#6106	—	2	4	no	—
404	#6106	—	4	2	no	—
405	#6105	—	2	4	no	—
406	#6105	—	4	2	no	—
407	#6103	—	2	2	no	—
408	#6103	—	2	2	no	—
409	#6103	—	2	2	no	—
410	#6103	—	2	2	no	—
411	#6103	—	2	2	no	—
412	#6103	—	2	2	no	—
413	#6103	—	2	2	no	—
414	#6103	—	2	2	no	—
415	#6103	C₂×D₄	1	2	yes	—
416	#6103	C₂×D₄	1	2	yes	—
417	#6103	C₂×D₄	1	2	yes	—
418	#6103	C₂×D₄	1	2	yes	—
419	C₄⋊Dic₁₃	—	2	1	no	—
420	C₄⋊Dic₁₃	—	2	1	no	—
421	C₄⋊Dic₁₃	—	2	1	no	—
422	C₄⋊Dic₁₃	—	2	1	no	—
423	C₄⋊Dic₁₃	—	2	2	no	—
424	C₄⋊Dic₁₃	—	2	2	no	—
425	C₄⋊Dic₁₃	—	2	2	no	—
426	C₄⋊Dic₁₃	—	2	2	no	—
427	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
428	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
429	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
430	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
431	#6101	—	2	2	no	—
432	#6101	—	2	2	no	—
433	#6101	—	2	2	no	—
434	#6101	—	2	2	no	—
435	#6101	—	2	2	no	—
436	#6101	—	2	2	no	—
437	#6101	—	2	2	no	—
438	#6101	—	2	2	no	—
439	#6101	C₂×D₄	1	2	yes	—
440	#6101	C₂×D₄	1	2	yes	—
441	#6101	C₂×D₄	1	2	yes	—
442	#6101	C₂×D₄	1	2	yes	—
443	C₄×Dic₁₃	—	2	2	no	—
444	C₄×Dic₁₃	—	2	2	no	—
445	C₄×Dic₁₃	—	2	2	no	—
446	C₄×Dic₁₃	—	2	2	no	—
447	C₄×Dic₁₃	—	2	2	no	—
448	C₄×Dic₁₃	C₂⁴	1	2	yes	—
449	C₂×#1055	C₂⁴	1	2	yes	—
450	C₂×#1055	C₂⁴	1	2	yes	—
451	#6095	—	2	4	no	—
452	#6095	—	4	2	no	—
453	#6094	—	4	2	no	—
454	C₈×D₁₃	—	2	4	no	—
455	#3523	—	13	1	no	—
456	#3519	—	13	1	no	—
457	#3392	—	13	1	no	—
458	#3381	—	13	1	no	—
459	#3372	—	13	1	no	—
460	#3368	—	13	1	no	—
461	#3340	—	13	1	no	—
462	#3337	—	13	2	no	—
463	#3329	—	13	1	no	—
464	#3324	—	13	1	no	—
465	#3320	—	13	2	no	—
466	#3310	—	13	2	no	—
467	D₄×SD₁₆	—	13	1	no	—
468	D₄×SD₁₆	—	13	2	no	—
469	#3174	—	13	2	no	—
470	#3167	—	13	1	no	—
471	#3126	—	13	2	no	—
472	#3123	—	13	2	no	—
473	#3112	—	13	1	no	—
474	#3110	—	13	1	no	—
475	#2966	—	13	1	no	—
476	#2949	—	13	2	no	—
477	C₂×C₄×SD₁₆	D₁₃	1	1	yes	characteristic, complemented
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	4	2	no	—
481	C₂³×C₁₃	—	4	2	no	—
482	C₂³×C₁₃	—	8	1	no	—
483	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	C₂²×D₁₃	—	2	2	no	—
485	C₂²×D₁₃	—	4	4	no	—
486	C₂²×D₁₃	—	8	2	no	—
487	C₂²×D₁₃	—	8	2	no	—
488	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	4	2	no	—
493	Q₈×C₁₃	C₂×#41	1	2	yes	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	C₂×#41	1	2	yes	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	2	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	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	4	2	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	4	2	no	—
512	C₂×C₄×C₁₃	—	4	2	no	—
513	C₂×C₄×C₁₃	—	8	1	no	—
514	C₂×C₄×C₁₃	—	8	1	no	—
515	C₂×C₄×C₁₃	—	8	1	no	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₂²⋊D₁₃	—	2	4	no	—
523	C₂²⋊D₁₃	—	4	4	no	—
524	C₂²⋊D₁₃	—	4	4	no	—
525	C₂²⋊D₁₃	—	8	2	no	—
526	C₂²⋊D₁₃	—	8	2	no	—
527	C₂²⋊D₁₃	—	8	2	no	—
528	C₂×Dic₁₃	—	2	2	no	—
529	C₂×Dic₁₃	—	2	2	no	—
530	C₂×Dic₁₃	—	2	2	no	—
531	C₂×Dic₁₃	—	8	2	no	—
532	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
533	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
534	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
535	D₅₂	—	2	2	no	—
536	D₅₂	—	2	2	no	—
537	D₅₂	—	2	2	no	—
538	D₅₂	—	4	2	no	—
539	D₅₂	—	8	1	no	—
540	D₅₂	—	8	2	no	—
541	C₄×D₁₃	—	2	2	no	—
542	C₄×D₁₃	—	2	2	no	—
543	C₄×D₁₃	—	4	4	no	—
544	C₄×D₁₃	—	8	2	no	—
545	C₄×D₁₃	—	8	2	no	—
546	Dic₂₆	—	2	2	no	—
547	Dic₂₆	—	2	2	no	—
548	Dic₂₆	—	2	2	no	—
549	Dic₂₆	—	4	4	no	—
550	Dic₂₆	—	4	2	no	—
551	Dic₂₆	—	8	1	no	—
552	C₈×C₁₃	—	2	1	no	—
553	C₈×C₁₃	—	2	1	no	—
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	C₂×#41	1	2	yes	—
556	#1055	—	2	2	no	—
557	#1055	—	2	2	no	—
558	C₂²×SD₁₆	—	13	2	no	—
559	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
560	#557	—	13	1	no	—
561	#557	—	13	1	no	—
562	#557	—	26	1	no	—
563	#556	—	13	1	no	—
564	#556	—	26	1	no	—
565	#555	—	13	1	no	—
566	#554	—	13	1	no	—
567	#553	—	13	2	no	—
568	#553	—	26	1	no	—
569	#552	—	13	2	no	—
570	#552	—	26	2	no	—
571	#550	—	13	1	no	—
572	D₄×Q₈	—	13	2	no	—
573	D₄×Q₈	—	13	1	no	—
574	#546	—	26	2	no	—
575	#546	—	26	1	no	—
576	D₄²	—	13	2	no	—
577	D₄²	—	13	1	no	—
578	#541	—	13	2	no	—
579	#541	—	26	2	no	—
580	#540	—	13	2	no	—
581	#538	—	26	2	no	—
582	#533	—	13	1	no	—
583	#533	—	26	1	no	—
584	#532	—	13	1	no	—
585	#529	—	13	1	no	—
586	#529	—	26	1	no	—
587	#525	—	26	1	no	—
588	C₂×#121	—	26	1	no	—
589	#519	—	13	2	no	—
590	#518	—	13	2	no	—
591	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
592	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
593	#499	—	13	2	no	—
594	#498	—	13	1	no	—
595	#492	—	13	2	no	—
596	#492	—	13	1	no	—
597	#491	—	13	2	no	—
598	#490	—	13	2	no	—
599	#487	—	13	1	no	—
600	#486	—	13	1	no	—
601	#485	—	13	2	no	—
602	#485	—	13	2	no	—
603	#484	—	13	2	no	—
604	#482	—	13	2	no	—
605	#482	—	13	2	no	—
606	#480	—	13	2	no	—
607	#479	—	13	2	no	—
608	#479	—	13	2	no	—
609	#478	—	13	2	no	—
610	#478	—	13	2	no	—
611	#477	—	13	1	no	—
612	#477	—	13	1	no	—
613	#474	—	13	1	no	—
614	#474	—	13	1	no	—
615	#468	—	13	2	no	—
616	#468	—	13	2	no	—
617	#465	—	13	2	no	—
618	#465	—	13	2	no	—
619	#465	—	13	2	no	—
620	#465	—	13	2	no	—
621	#461	—	13	2	no	—
622	#461	—	13	1	no	—
623	#461	—	13	1	no	—
624	#461	—	13	2	no	—
625	#460	—	13	2	no	—
626	#460	—	13	1	no	—
627	#460	—	13	1	no	—
628	#460	—	13	2	no	—
629	#450	—	13	2	no	—
630	#450	—	13	2	no	—
631	#450	—	13	2	no	—
632	#448	—	13	2	no	—
633	#448	—	13	2	no	—
634	#448	—	13	2	no	—
635	#446	—	13	1	no	—
636	C₈×Q₈	—	13	1	no	—
637	#440	—	13	2	no	—
638	#440	—	13	2	no	—
639	#440	—	13	2	no	—
640	#440	—	13	2	no	—
641	#440	—	13	2	no	—
642	#440	—	13	2	no	—
643	C₄×SD₁₆	—	13	2	no	—
644	C₄×SD₁₆	—	13	2	no	—
645	C₄×SD₁₆	—	13	2	no	—
646	C₄×SD₁₆	—	13	2	no	—
647	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
648	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
649	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
650	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
651	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
652	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
653	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
654	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
655	#436	—	13	1	no	—
656	#435	—	13	2	no	—
657	C₈×D₄	—	13	2	no	—
658	C₈×D₄	—	13	1	no	—
659	#433	—	13	2	no	—
660	#432	—	13	1	no	—
661	#427	—	13	2	no	—
662	C₂×#106	C₂×D₁₃	1	1	yes	characteristic, complemented
663	#419	—	13	2	no	—
664	#418	—	13	2	no	—
665	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
666	C₂×#102	C₂×D₁₃	1	1	yes	characteristic
667	#405	—	13	2	no	—
668	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	8	4	no	—
678	C₂²×C₁₃	#577	1	2	yes	—
679	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
680	C₂×D₁₃	—	2	2	no	—
681	C₂×D₁₃	—	2	2	no	—
682	C₂×D₁₃	—	2	2	no	—
683	C₂×D₁₃	—	4	2	no	—
684	C₂×D₁₃	—	4	2	no	—
685	C₂×D₁₃	—	4	2	no	—
686	C₂×D₁₃	—	16	4	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	1	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	#577	1	2	yes	—
698	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
699	C₄×C₁₃	#585	1	1	yes	characteristic
700	Dic₁₃	—	2	2	no	—
701	Dic₁₃	—	2	2	no	—
702	Dic₁₃	—	2	2	no	—
703	Dic₁₃	—	4	2	no	—
704	Dic₁₃	—	4	2	no	—
705	Dic₁₃	—	4	2	no	—
706	C₂×#41	—	26	1	no	—
707	C₂×#41	—	26	1	no	—
708	C₂²×Q₈	—	13	2	no	—
709	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
710	C₂²×D₄	—	13	2	no	—
711	C₂²×D₄	—	26	1	no	—
712	C₂²×D₄	—	26	2	no	—
713	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
714	C₂³×C₄	—	2	1	no	—
715	C₂×SD₁₆	—	2	4	no	—
716	C₂×SD₁₆	—	13	2	no	—
717	C₂×SD₁₆	—	13	2	no	—
718	C₂×SD₁₆	—	13	2	no	—
719	C₂×SD₁₆	—	13	2	no	—
720	C₂×SD₁₆	—	13	2	no	—
721	C₂×SD₁₆	—	13	2	no	—
722	C₂×SD₁₆	—	26	8	no	—
723	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
724	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
725	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
726	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
727	C₂×M₁₆	—	13	2	no	—
728	C₂²×C₈	—	13	2	no	—
729	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
730	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	—	13	2	no	—
732	C₄⋊Q₈	—	13	1	no	—
733	C₄⋊Q₈	—	13	1	no	—
734	C₄⋊Q₈	—	13	1	no	—
735	C₄⋊Q₈	—	26	1	no	—
736	C₄⋊Q₈	—	26	1	no	—
737	C₄⋊Q₈	—	26	2	no	—
738	#127	—	13	2	no	—
739	#127	—	13	1	no	—
740	#126	—	13	2	no	—
741	#126	—	26	2	no	—
742	#126	—	26	2	no	—
743	#126	—	26	2	no	—
744	#126	—	26	2	no	—
745	#126	—	26	2	no	—
746	#125	—	13	2	no	—
747	#125	—	13	2	no	—
748	#125	—	13	1	no	—
749	#125	—	26	1	no	—
750	#125	—	26	2	no	—
751	#125	—	26	2	no	—
752	#125	—	26	2	no	—
753	#125	—	26	2	no	—
754	#125	—	26	2	no	—
755	#125	—	26	1	no	—
756	#124	—	13	1	no	—
757	#124	—	26	1	no	—
758	#124	—	26	2	no	—
759	#124	—	26	1	no	—
760	#123	—	13	2	no	—
761	#123	—	26	2	no	—
762	#123	—	26	2	no	—
763	#123	—	26	2	no	—
764	#123	—	26	2	no	—
765	C₂²⋊Q₈	—	13	1	no	—
766	C₂²⋊Q₈	—	13	2	no	—
767	C₂²⋊Q₈	—	13	2	no	—
768	C₂²⋊Q₈	—	13	2	no	—
769	C₂²⋊Q₈	—	26	2	no	—
770	C₂²⋊Q₈	—	26	2	no	—
771	C₂²⋊Q₈	—	26	2	no	—
772	C₂²⋊Q₈	—	26	2	no	—
773	C₂²⋊Q₈	—	26	1	no	—
774	C₂²⋊Q₈	—	26	1	no	—
775	#121	—	13	1	no	—
776	#121	—	13	2	no	—
777	#121	—	13	2	no	—
778	#121	—	13	2	no	—
779	#121	—	26	2	no	—
780	#121	—	26	2	no	—
781	#121	—	26	2	no	—
782	#121	—	26	1	no	—
783	#121	—	26	1	no	—
784	#121	—	26	2	no	—
785	#121	—	26	2	no	—
786	#121	—	26	1	no	—
787	#121	—	26	1	no	—
788	#120	—	26	2	no	—
789	#120	—	26	2	no	—
790	#120	—	26	2	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	13	1	no	—
794	C₄×Q₈	—	13	2	no	—
795	C₄×Q₈	—	13	2	no	—
796	C₄×Q₈	—	13	2	no	—
797	C₄×Q₈	—	26	2	no	—
798	C₄×Q₈	—	26	1	no	—
799	C₄×Q₈	—	26	1	no	—
800	C₄×Q₈	—	26	1	no	—
801	C₄×Q₈	—	26	2	no	—
802	C₄×Q₈	—	26	1	no	—
803	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
804	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
805	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
806	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	13	2	no	—
810	C₄×D₄	—	13	2	no	—
811	C₄×D₄	—	13	2	no	—
812	C₄×D₄	—	13	1	no	—
813	C₄×D₄	—	13	2	no	—
814	C₄×D₄	—	26	1	no	—
815	C₄×D₄	—	26	2	no	—
816	C₄×D₄	—	26	2	no	—
817	C₄×D₄	—	26	2	no	—
818	C₄×D₄	—	26	2	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	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
824	#117	—	13	2	no	—
825	#117	—	13	2	no	—
826	#117	—	13	2	no	—
827	#117	—	26	2	no	—
828	#117	—	26	2	no	—
829	#117	—	26	2	no	—
830	#117	—	26	1	no	—
831	#117	—	26	1	no	—
832	C₂×C₄⋊C₄	—	2	1	no	—
833	C₂×C₄⋊C₄	—	26	1	no	—
834	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
836	C₂×C₂²⋊C₄	—	2	1	no	—
837	C₂×C₂²⋊C₄	—	26	2	no	—
838	C₂×C₂²⋊C₄	—	26	2	no	—
839	C₂×C₄²	—	2	1	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	—	13	2	no	—
845	#106	—	13	2	no	—
846	#106	—	13	2	no	—
847	#106	C₂²×D₁₃	1	1	yes	characteristic
848	#106	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	2	no	—
859	#103	—	13	2	no	—
860	#103	—	13	2	no	—
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	#103	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
872	#102	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	2	no	—
880	C₄×C₈	—	13	2	no	—
881	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
882	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
883	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
884	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
885	C₂×C₁₃	—	2	2	no	—
886	C₂×C₁₃	—	4	2	no	—
887	C₂×C₁₃	—	8	1	no	—
888	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
889	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
890	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
891	D₁₃	—	4	2	no	—
892	D₁₃	—	8	2	no	—
893	C₂⁴	—	2	1	no	—
894	C₂⁴	—	26	2	no	—
895	#41	—	104	2	no	—
896	#41	—	104	2	no	—
897	C₂×Q₈	—	2	1	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	—	4	1	no	—
900	C₂×Q₈	—	13	1	no	—
901	C₂×Q₈	—	13	2	no	—
902	C₂×Q₈	—	26	2	no	—
903	C₂×Q₈	—	26	1	no	—
904	C₂×Q₈	—	26	1	no	—
905	C₂×Q₈	—	26	4	no	—
906	C₂×Q₈	—	52	2	no	—
907	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	4	1	no	—
912	C₂×D₄	—	13	2	no	—
913	C₂×D₄	—	13	1	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	—	52	2	no	—
925	C₂×D₄	—	104	2	no	—
926	C₂×D₄	—	104	4	no	—
927	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	8	2	no	—
937	C₂²×C₄	—	13	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	D₄×D₁₃	1	1	yes	characteristic
943	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
944	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
945	SD₁₆	—	2	2	no	—
946	SD₁₆	—	2	2	no	—
947	SD₁₆	—	2	2	no	—
948	SD₁₆	—	26	4	no	—
949	SD₁₆	—	26	4	no	—
950	SD₁₆	—	26	4	no	—
951	SD₁₆	—	52	2	no	—
952	SD₁₆	—	52	2	no	—
953	SD₁₆	—	52	2	no	—
954	SD₁₆	#6127	1	4	yes	complemented
955	M₁₆	—	52	2	no	—
956	C₂×C₈	—	2	2	no	—
957	C₂×C₈	—	4	1	no	—
958	C₂×C₈	—	13	2	no	—
959	C₂×C₈	—	13	2	no	—
960	C₂×C₈	—	26	4	no	—
961	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
962	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
963	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
964	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	13	1	no	—
972	C₄⋊C₄	—	13	2	no	—
973	C₄⋊C₄	—	13	2	no	—
974	C₄⋊C₄	—	13	1	no	—
975	C₄⋊C₄	—	13	2	no	—
976	C₄⋊C₄	—	13	2	no	—
977	C₄⋊C₄	—	13	2	no	—
978	C₄⋊C₄	—	13	2	no	—
979	C₄⋊C₄	—	26	2	no	—
980	C₄⋊C₄	—	26	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	2	no	—
991	C₄⋊C₄	—	26	1	no	—
992	C₄⋊C₄	—	26	1	no	—
993	C₄⋊C₄	—	26	1	no	—
994	C₄⋊C₄	—	26	2	no	—
995	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	13	2	no	—
1004	C₂²⋊C₄	—	13	2	no	—
1005	C₂²⋊C₄	—	13	2	no	—
1006	C₂²⋊C₄	—	13	2	no	—
1007	C₂²⋊C₄	—	13	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	C₂²⋊C₄	—	26	2	no	—
1018	C₂²⋊C₄	—	26	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	13	2	no	—
1024	C₄²	—	26	2	no	—
1025	C₄²	—	26	2	no	—
1026	C₄²	—	26	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	#61481	1	1	yes	characteristic, complemented, Sylow
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	4	2	no	—
1037	C₂³	—	4	2	no	—
1038	C₂³	—	8	1	no	—
1039	C₂³	—	13	2	no	—
1040	C₂³	—	26	2	no	—
1041	C₂³	—	52	4	no	—
1042	C₂³	—	104	2	no	—
1043	C₂³	—	104	2	no	—
1044	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1045	Q₈	—	2	1	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	4	2	no	—
1049	Q₈	—	26	2	no	—
1050	Q₈	—	26	2	no	—
1051	Q₈	—	26	2	no	—
1052	Q₈	—	52	4	no	—
1053	Q₈	—	52	2	no	—
1054	Q₈	—	104	1	no	—
1055	Q₈	C₂×#6127	1	2	yes	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	26	4	no	—
1061	D₄	—	26	2	no	—
1062	D₄	—	26	2	no	—
1063	D₄	—	26	2	no	—
1064	D₄	—	52	4	no	—
1065	D₄	—	52	4	no	—
1066	D₄	—	52	2	no	—
1067	D₄	—	104	1	no	—
1068	D₄	—	104	2	no	—
1069	D₄	—	104	2	no	—
1070	D₄	—	104	2	no	—
1071	D₄	—	104	2	no	—
1072	D₄	C₂×#6127	1	2	yes	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	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	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	8	1	no	—
1088	C₂×C₄	—	8	1	no	—
1089	C₂×C₄	—	8	1	no	—
1090	C₂×C₄	—	13	2	no	—
1091	C₂×C₄	—	13	2	no	—
1092	C₂×C₄	—	13	2	no	—
1093	C₂×C₄	—	26	2	no	—
1094	C₂×C₄	—	26	2	no	—
1095	C₂×C₄	—	26	2	no	—
1096	C₂×C₄	—	26	2	no	—
1097	C₂×C₄	—	26	2	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	C₂×D₄×D₁₃	1	1	yes	characteristic
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	C₂⁴×D₁₃	1	1	yes	characteristic
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	26	2	no	—
1112	C₈	—	26	2	no	—
1113	C₈	C₂×#6127	1	2	yes	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	8	4	no	—
1123	C₂²	—	26	2	no	—
1124	C₂²	—	26	2	no	—
1125	C₂²	—	26	2	no	—
1126	C₂²	—	52	2	no	—
1127	C₂²	—	52	2	no	—
1128	C₂²	—	52	2	no	—
1129	C₂²	—	208	4	no	—
1130	C₂²	#11719475	1	2	yes	—
1131	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	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	—	26	2	no	—
1143	C₄	—	26	2	no	—
1144	C₄	—	26	2	no	—
1145	C₄	—	52	2	no	—
1146	C₄	—	52	2	no	—
1147	C₄	—	52	2	no	—
1148	C₄	#11719467	1	2	yes	—
1149	C₄	C₂²×#6127	1	1	yes	characteristic
1150	C₄	#11719648	1	1	yes	characteristic
1151	C₂	—	2	2	no	—
1152	C₂	—	4	2	no	—
1153	C₂	—	8	1	no	—
1154	C₂	—	52	2	no	—
1155	C₂	—	104	2	no	—
1156	C₂	D₄×#6127	1	1	yes	characteristic
1157	C₂	C₂×#11719467	1	1	yes	characteristic
1158	C₂	C₂×#11719475	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₄×C₁₃×SD₁₆	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128868	C₂
hypercenter	C₂×C₄×SD₁₆	D₁₃
hypocenter	C₁₃	#61481
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×C₄×SD₁₆

Complements

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

N	H ≅ G/N	type
1. #13128932	C₂	semidirect
3. #13127815	C₂	semidirect
4. #13127709	C₂	semidirect
5. #13127615	C₂	semidirect
6. #13127563	C₂	semidirect
7. #13127251	C₂	semidirect
8. #13127211	C₂	semidirect
9. #13127132	C₂	semidirect
10. #13127069	C₂	semidirect
11. #13127003	C₂	semidirect
12. #13126853	C₂	semidirect
13. SD₁₆×D₅₂	C₂	semidirect
14. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
15. #13125460	C₂	semidirect
16. #13125395	C₂	semidirect
17. #13125124	C₂	semidirect
18. #13125085	C₂	semidirect
19. #13124958	C₂	semidirect
20. #13124935	C₂	semidirect
21. #13123811	C₂	semidirect
22. #13123690	C₂	semidirect
23. C₂×C₄×C₁₃×SD₁₆	C₂	semidirect
25. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
27. Q₈×C₂²⋊D₁₃	C₂²	semidirect
33. #11719289	C₂²	semidirect
35. #11719288	C₂²	semidirect
36. Q₈×D₅₂	C₂²	semidirect
37. #11719277	C₂²	semidirect
38. #11719275	C₂²	semidirect
40. #11719272	C₂²	semidirect
52. #11719218	C₂²	semidirect
58. #11719175	C₂²	semidirect
63. C₄×C₁₃×SD₁₆	C₂²	semidirect
64. C₄×C₁₃×SD₁₆	C₂²	semidirect
65. C₄×C₁₃×SD₁₆	C₂²	semidirect
66. C₄×C₁₃×SD₁₆	C₂²	semidirect
67. C₂×C₁₃×#106	C₂²	semidirect
68. C₂×C₁₃×#103	C₂²	semidirect
70. C₂×C₄×C₈×C₁₃	C₂²	semidirect
71. #11718888	C₂²	semidirect
73. #11718836	C₂²	semidirect
74. #11718832	C₂²	semidirect
75. #11718831	C₂²	semidirect
77. #11718824	C₂²	semidirect
80. #11718775	C₂²	semidirect
81. #11718775	C₂²	semidirect
82. #11718772	C₂²	semidirect
83. C₈×C₂²⋊D₁₃	C₂²	semidirect
84. #11718688	C₂²	semidirect
85. #11718688	C₂²	semidirect
86. #11718687	C₂²	semidirect
87. #11718687	C₂²	semidirect
88. #11718682	C₂²	semidirect
89. #11718682	C₂²	semidirect
91. #11718680	C₂²	semidirect
93. #11718679	C₂²	semidirect
95. #11718668	C₂²	semidirect
96. #11718631	C₂²	semidirect
97. #11718628	C₂²	semidirect
98. #11718587	C₂²	semidirect
99. #11718532	C₂²	semidirect
100. #11718528	C₂²	semidirect
101. #11718527	C₂²	semidirect
102. #11718525	C₂²	semidirect
103. #11718521	C₂²	semidirect
104. #11718519	C₂²	semidirect
105. #11718518	C₂²	semidirect
106. #11718513	C₂²	semidirect
107. #11718479	C₂²	semidirect
108. #11718478	C₂²	semidirect
109. #11718476	C₂²	semidirect
110. #11718473	C₂²	semidirect
111. #11718467	C₂²	semidirect
112. #11718463	C₂²	semidirect
113. #11718460	C₂²	semidirect
114. #11718458	C₂²	semidirect
115. #11718441	C₂²	semidirect
116. #11718440	C₂²	semidirect
119. #11718425	C₂²	semidirect
121. #11718423	C₂²	semidirect
123. #11718355	C₂²	semidirect
124. #11718354	C₂²	semidirect
125. C₄×#6095	C₂²	semidirect
126. C₄×#6095	C₂²	semidirect
127. #11718351	C₂²	semidirect
128. #11718350	C₂²	semidirect
129. #11718349	C₂²	semidirect
130. C₈×D₅₂	C₂²	semidirect
131. #11718342	C₂²	semidirect
132. #11718341	C₂²	semidirect
133. #11718340	C₂²	semidirect
134. C₈×Dic₂₆	C₂²	semidirect
370. C₁₃×SD₁₆	#41	semidirect
477. C₂×C₄×SD₁₆	D₁₃	semidirect
591. C₂×C₄×Q₈	C₂×D₁₃	semidirect
651. C₄×SD₁₆	C₂×D₁₃	semidirect
652. C₄×SD₁₆	C₂×D₁₃	semidirect
653. C₄×SD₁₆	C₂×D₁₃	semidirect
654. C₄×SD₁₆	C₂×D₁₃	semidirect
662. C₂×#106	C₂×D₁₃	semidirect
665. C₂×#103	C₂×D₁₃	semidirect
668. C₂×C₄×C₈	C₂×D₁₃	semidirect
954. SD₁₆	#6127	semidirect
1033. C₁₃	#61481	semidirect

Maximal subgroups

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

subgroup	index
#13128932	2
#13128868	2
#13127815	2
#13127709	2
#13127615	2
#13127563	2
#13127251	2
#13127211	2
#13127132	2
#13127069	2
#13127003	2
#13126853	2
SD₁₆×D₅₂	2
SD₁₆×C₂²⋊D₁₃	2
#13125460	2
#13125395	2
#13125124	2
#13125085	2
#13124958	2
#13124935	2
#13123811	2
#13123690	2
C₂×C₄×C₁₃×SD₁₆	2
#61481	13