Subgroups — #16745358

Order 3328.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128825	C₂	1	2	yes	maximal, complemented
2	#13127825	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127728	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127680	C₂	1	2	yes	maximal, complemented
5	#13127239	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127229	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127205	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127106	C₂	1	2	yes	maximal, complemented
9	#13127009	C₂	1	2	yes	maximal, complemented
10	#13126949	C₂	1	2	yes	maximal, complemented
11	D₄×Dic₅₂	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126579	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126579	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125495	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125475	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125406	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125067	C₂	1	2	yes	maximal, complemented
18	#13125052	C₂	1	2	yes	maximal, complemented
19	#13125009	C₂	1	2	yes	maximal, complemented
20	#13123713	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123705	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×Dic₅₂	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#529	C₂²	1	1	yes	characteristic
25	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic
26	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic
27	C₂×#88158	C₂²	1	1	yes	characteristic
28	#11719413	—	2	2	no	—
29	#11719407	—	2	2	no	—
30	#11719401	—	2	2	no	—
31	#11719374	—	2	2	no	—
32	#11719354	—	2	2	no	—
33	#11719354	—	2	2	no	—
34	#11719341	—	2	2	no	—
35	#11719306	—	2	2	no	—
36	#11719289	C₂²	1	2	yes	—
37	#11719272	C₂²	1	2	yes	—
38	#11719270	C₂²	1	2	yes	—
39	#11719257	C₂²	1	2	yes	—
40	#11719257	C₂²	1	2	yes	—
41	#11719248	C₂²	1	2	yes	—
42	#11719246	C₂²	1	2	yes	—
43	D₄×Dic₂₆	C₂²	1	2	yes	—
44	#11719239	C₂²	1	2	yes	—
45	#11719228	C₂²	1	2	yes	—
46	#11719223	C₂²	1	2	yes	—
47	#11719221	C₂²	1	2	yes	—
48	#11719184	C₂²	1	2	yes	—
49	C₂×C₄×Dic₂₆	C₂²	1	2	yes	—
50	C₁₃×#446	C₂²	1	1	yes	characteristic
51	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
52	C₁₃×#436	C₂²	1	1	yes	characteristic
53	C₁₃×#435	C₂²	1	1	yes	characteristic
54	C₁₃×#435	C₂²	1	1	yes	characteristic
55	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
58	C₁₃×#433	C₂²	1	1	yes	characteristic
59	C₁₃×#433	C₂²	1	1	yes	characteristic
60	C₁₃×#432	C₂²	1	1	yes	characteristic
61	C₁₃×#405	C₂²	1	1	yes	characteristic
62	C₁₃×#405	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
64	#11718798	C₂²	1	2	yes	—
65	#11718795	C₂²	1	2	yes	—
66	#11718794	C₂²	1	2	yes	—
67	#11718781	C₂²	1	2	yes	—
68	#11718777	C₂²	1	1	yes	characteristic
69	#11718777	C₂²	1	1	yes	characteristic
70	#11718777	C₂²	1	1	yes	characteristic
71	#11718777	C₂²	1	1	yes	characteristic
72	#11718776	C₂²	1	1	yes	characteristic
73	#11718776	C₂²	1	1	yes	characteristic
74	#11718775	C₂²	1	2	yes	—
75	#11718767	C₂²	1	1	yes	characteristic
76	C₂×#88058	C₂²	1	1	yes	characteristic
77	C₂×#88058	C₂²	1	1	yes	characteristic
78	C₂×#88056	C₂²	1	2	yes	—
79	#11718512	C₂²	1	2	yes	—
80	#11718511	C₂²	1	2	yes	—
81	#11718510	C₂²	1	2	yes	—
82	#11718508	C₂²	1	2	yes	—
83	#11718506	C₂²	1	2	yes	—
84	#11718506	C₂²	1	2	yes	—
85	#11718506	C₂²	1	2	yes	—
86	#11718506	C₂²	1	2	yes	—
87	#11718502	C₂²	1	2	yes	—
88	#11718490	C₂²	1	2	yes	—
89	#11718490	C₂²	1	2	yes	—
90	#11718490	C₂²	1	2	yes	—
91	#11718400	C₂²	1	2	yes	—
92	#11718400	C₂²	1	2	yes	—
93	#11718399	C₂²	1	2	yes	—
94	#11718399	C₂²	1	2	yes	—
95	#11718398	C₂²	1	2	yes	—
96	#11718396	C₂²	1	2	yes	—
97	#11718394	C₂²	1	2	yes	—
98	#11718394	C₂²	1	2	yes	—
99	#11718384	C₂²	1	2	yes	—
100	#11718383	C₂²	1	2	yes	—
101	#11718383	C₂²	1	2	yes	—
102	#11718382	C₂²	1	2	yes	—
103	#11718377	C₂²	1	2	yes	—
104	#11718377	C₂²	1	2	yes	—
105	#11718377	C₂²	1	2	yes	—
106	#11718375	C₂²	1	2	yes	—
107	#11718371	C₂²	1	2	yes	—
108	#11718371	C₂²	1	2	yes	—
109	#11718371	C₂²	1	2	yes	—
110	#11718364	C₂²	1	2	yes	—
111	#11718360	C₂²	1	1	yes	characteristic
112	C₄×Dic₅₂	C₂²	1	2	yes	—
113	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
114	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
115	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
116	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
117	C₄×Dic₅₂	C₂²	1	2	yes	—
118	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
119	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
120	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
121	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
122	#11718358	C₂²	1	2	yes	—
123	#11718357	C₂²	1	1	yes	characteristic
124	#11718357	C₂²	1	1	yes	characteristic
125	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
126	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
127	C₄×#6095	C₂²	1	2	yes	—
128	#11718344	C₂²	1	1	yes	characteristic
129	#11718344	C₂²	1	1	yes	characteristic
130	#11718343	C₂²	1	1	yes	characteristic
131	C₂×#6127	C₂³	1	2	yes	—
132	C₂²×Dic₂₆	C₂³	1	2	yes	—
133	C₂²×Dic₂₆	C₂³	1	2	yes	—
134	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
135	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
136	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₁₃×#126	D₄	1	1	yes	characteristic
141	C₁₃×#126	D₄	1	1	yes	characteristic
142	C₁₃×#125	D₄	1	1	yes	characteristic
143	C₁₃×#124	D₄	1	1	yes	characteristic
144	C₁₃×#123	D₄	1	1	yes	characteristic
145	C₁₃×#123	D₄	1	1	yes	characteristic
146	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
147	C₁₃×#121	D₄	1	1	yes	characteristic
148	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₁₃×#117	C₂³	1	1	yes	characteristic
153	C₁₃×#117	C₂³	1	1	yes	characteristic
154	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
155	#88200	—	2	2	no	—
156	#88198	—	2	2	no	—
157	#88193	—	2	2	no	—
158	#88193	—	2	2	no	—
159	#88193	—	2	2	no	—
160	#88189	—	2	2	no	—
161	D₄×Dic₁₃	—	2	2	no	—
162	D₄×Dic₁₃	—	2	2	no	—
163	#88184	C₂³	1	2	yes	—
164	#88184	C₂³	1	2	yes	—
165	#88183	—	2	2	no	—
166	C₄×C₂²⋊D₁₃	—	2	2	no	—
167	#88180	C₂³	1	2	yes	—
168	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
169	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
170	#88178	C₂³	1	2	yes	—
171	#88178	C₂³	1	2	yes	—
172	#88178	C₂³	1	2	yes	—
173	#88178	C₂³	1	2	yes	—
174	C₂×#6101	—	2	2	no	—
175	C₂×C₄×Dic₁₃	—	2	2	no	—
176	C₂×Dic₅₂	—	2	4	no	—
177	C₂×Dic₅₂	—	2	4	no	—
178	C₂×Dic₅₂	C₂³	1	2	yes	—
179	C₂×Dic₅₂	C₂³	1	2	yes	—
180	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
181	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
182	C₂×Dic₅₂	C₂³	1	2	yes	—
183	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
184	#88158	—	2	4	no	—
185	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
186	C₂×#6095	C₂³	1	2	yes	—
187	C₂×#6095	C₂³	1	2	yes	—
188	C₂×#6095	C₂³	1	2	yes	—
189	#88152	—	2	2	no	—
190	#88152	—	2	2	no	—
191	#88152	—	2	2	no	—
192	#88152	—	2	2	no	—
193	#88150	—	2	2	no	—
194	#88150	—	2	2	no	—
195	#88150	—	2	2	no	—
196	#88146	—	2	2	no	—
197	#88146	—	2	2	no	—
198	C₄⋊C₄×D₁₃	—	2	2	no	—
199	#88144	—	2	2	no	—
200	#88143	—	2	2	no	—
201	#88143	—	2	2	no	—
202	#88143	—	2	2	no	—
203	#88143	—	2	2	no	—
204	#88143	—	2	2	no	—
205	#88142	—	2	2	no	—
206	#88141	—	2	2	no	—
207	#88141	—	2	2	no	—
208	#88141	—	2	2	no	—
209	#88139	—	2	2	no	—
210	#88139	—	2	2	no	—
211	#88139	—	2	2	no	—
212	#88137	—	2	2	no	—
213	#88137	—	2	2	no	—
214	#88135	—	2	2	no	—
215	#88135	—	2	2	no	—
216	#88135	—	2	2	no	—
217	#88135	—	2	2	no	—
218	#88135	—	2	2	no	—
219	#88133	—	2	2	no	—
220	#88133	—	2	2	no	—
221	#88133	—	2	2	no	—
222	#88132	—	2	2	no	—
223	#88132	—	2	2	no	—
224	#88132	—	2	2	no	—
225	#88132	—	2	2	no	—
226	#88131	—	2	2	no	—
227	#88131	—	2	2	no	—
228	#88131	—	2	2	no	—
229	#88130	—	2	2	no	—
230	#88129	C₂³	1	2	yes	—
231	#88129	C₂³	1	2	yes	—
232	C₄×D₅₂	C₂³	1	2	yes	—
233	C₄×D₅₂	C₂³	1	2	yes	—
234	#88126	—	2	2	no	—
235	#88124	C₂³	1	2	yes	—
236	#88124	C₂³	1	2	yes	—
237	#88123	C₂³	1	2	yes	—
238	#88123	C₂³	1	2	yes	—
239	C₄×Dic₂₆	—	2	2	no	—
240	C₄×Dic₂₆	—	2	2	no	—
241	C₄×Dic₂₆	C₂³	1	2	yes	—
242	C₄×Dic₂₆	C₂³	1	2	yes	—
243	C₄×Dic₂₆	C₂³	1	2	yes	—
244	C₄×Dic₂₆	C₂³	1	2	yes	—
245	C₄×Dic₂₆	C₂³	1	2	yes	—
246	C₄×Dic₂₆	C₂³	1	2	yes	—
247	C₄×Dic₂₆	C₂³	1	2	yes	—
248	C₄×Dic₂₆	C₂³	1	2	yes	—
249	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₃×#97	C₂³	1	1	yes	characteristic
262	C₁₃×#97	C₂³	1	1	yes	characteristic
263	C₁₃×#97	C₂³	1	1	yes	characteristic
264	C₁₃×#97	C₂³	1	1	yes	characteristic
265	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
271	#88061	C₂³	1	2	yes	—
272	#88061	C₂³	1	2	yes	—
273	#88061	C₂³	1	2	yes	—
274	#88061	C₂³	1	2	yes	—
275	#88058	C₂³	1	2	yes	—
276	#88058	C₂³	1	2	yes	—
277	#88058	C₂³	1	2	yes	—
278	#88058	C₂³	1	1	yes	characteristic
279	#88058	C₂³	1	1	yes	characteristic
280	#88058	C₂³	1	1	yes	characteristic
281	#88058	C₂³	1	1	yes	characteristic
282	#88057	C₂³	1	2	yes	—
283	#88057	C₂³	1	2	yes	—
284	#88057	C₂³	1	2	yes	—
285	#88056	C₂³	1	2	yes	—
286	#88056	C₂³	1	2	yes	—
287	#88056	C₂³	1	2	yes	—
288	#88056	C₂³	1	2	yes	—
289	#88056	C₂³	1	2	yes	—
290	#88056	C₂³	1	2	yes	—
291	#88056	C₂³	1	2	yes	—
292	#88056	C₂³	1	2	yes	—
293	#88056	C₂³	1	2	yes	—
294	#88056	C₂³	1	2	yes	—
295	#88056	C₂³	1	2	yes	—
296	#88056	C₂³	1	2	yes	—
297	#61473	—	13	1	no	maximal, Sylow
298	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
299	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
300	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
301	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
303	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂×C₂²⋊D₁₃	—	2	2	no	—
308	C₂×C₂²⋊D₁₃	—	2	2	no	—
309	C₂×C₂²⋊D₁₃	—	2	2	no	—
310	C₂²×Dic₁₃	—	2	2	no	—
311	C₂²×Dic₁₃	—	2	2	no	—
312	C₂²×Dic₁₃	—	2	2	no	—
313	C₂²×Dic₁₃	—	2	2	no	—
314	#6127	—	2	4	no	—
315	#6127	—	4	2	no	—
316	C₂×D₅₂	C₂⁴	1	2	yes	—
317	C₂×C₄×D₁₃	—	2	2	no	—
318	C₂×C₄×D₁₃	—	2	2	no	—
319	C₂×C₄×D₁₃	—	2	2	no	—
320	C₂×Dic₂₆	—	2	4	no	—
321	C₂×Dic₂₆	—	2	4	no	—
322	C₂×Dic₂₆	—	2	2	no	—
323	C₂×Dic₂₆	—	2	2	no	—
324	C₂×Dic₂₆	—	2	2	no	—
325	C₂×Dic₂₆	—	4	2	no	—
326	C₂×Dic₂₆	—	4	2	no	—
327	C₂×Dic₂₆	C₂⁴	1	2	yes	—
328	C₂×Dic₂₆	C₂⁴	1	2	yes	—
329	C₂×Dic₂₆	C₂⁴	1	2	yes	—
330	C₁₃×M₁₆	—	4	1	no	—
331	C₁₃×M₁₆	—	4	1	no	—
332	C₂×C₈×C₁₃	—	2	2	no	—
333	C₂×C₈×C₁₃	—	2	2	no	—
334	C₂×C₈×C₁₃	—	2	2	no	—
335	C₂×C₈×C₁₃	—	4	1	no	—
336	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
345	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
346	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
347	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
348	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
349	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
350	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
351	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
352	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
353	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
354	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
355	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
356	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
357	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
358	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
359	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
360	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
361	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
363	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
364	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²⋊Dic₁₃	—	2	2	no	—
371	C₂²⋊Dic₁₃	—	2	2	no	—
372	C₂²⋊Dic₁₃	—	2	2	no	—
373	C₂²⋊Dic₁₃	—	2	2	no	—
374	C₂²⋊Dic₁₃	—	2	2	no	—
375	#6103	—	2	2	no	—
376	#6103	—	2	2	no	—
377	#6103	—	2	2	no	—
378	#6103	—	2	2	no	—
379	#6103	—	2	2	no	—
380	#6103	—	2	2	no	—
381	#6103	—	2	2	no	—
382	#6103	—	2	2	no	—
383	C₄⋊Dic₁₃	—	2	2	no	—
384	C₄⋊Dic₁₃	—	2	2	no	—
385	C₄⋊Dic₁₃	—	2	2	no	—
386	C₄⋊Dic₁₃	—	2	2	no	—
387	C₄⋊Dic₁₃	—	2	2	no	—
388	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
389	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
390	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
391	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
392	#6101	—	2	2	no	—
393	#6101	—	2	2	no	—
394	#6101	—	2	2	no	—
395	#6101	—	2	2	no	—
396	#6101	—	2	2	no	—
397	#6101	—	2	2	no	—
398	#6101	—	2	2	no	—
399	#6101	—	2	2	no	—
400	#6101	—	2	2	no	—
401	#6101	—	2	2	no	—
402	#6101	—	2	2	no	—
403	#6101	—	2	2	no	—
404	#6101	—	2	2	no	—
405	#6101	—	2	2	no	—
406	#6101	—	2	2	no	—
407	#6101	—	2	2	no	—
408	C₄×Dic₁₃	—	2	2	no	—
409	C₄×Dic₁₃	—	2	2	no	—
410	C₄×Dic₁₃	—	2	2	no	—
411	C₄×Dic₁₃	—	2	2	no	—
412	C₄×Dic₁₃	—	2	2	no	—
413	C₄×Dic₁₃	—	2	2	no	—
414	C₄×Dic₁₃	—	2	2	no	—
415	C₄×Dic₁₃	—	2	2	no	—
416	C₄×Dic₁₃	—	2	2	no	—
417	Dic₅₂	—	2	4	no	—
418	Dic₅₂	—	2	4	no	—
419	Dic₅₂	—	2	2	no	—
420	Dic₅₂	—	2	2	no	—
421	Dic₅₂	—	4	2	no	—
422	Dic₅₂	#41	1	4	yes	—
423	D₁₀₄	—	2	2	no	—
424	#6095	—	2	4	no	—
425	#6095	—	4	2	no	—
426	#6095	—	4	2	no	—
427	#3516	—	13	2	no	—
428	#3393	—	13	1	no	—
429	#3383	—	13	1	no	—
430	#3377	—	13	2	no	—
431	#3339	—	13	1	no	—
432	#3338	—	13	1	no	—
433	#3336	—	13	1	no	—
434	#3327	—	13	2	no	—
435	#3320	—	13	2	no	—
436	#3316	—	13	2	no	—
437	D₄×Q₁₆	—	13	1	no	—
438	#3285	—	13	1	no	—
439	#3285	—	13	1	no	—
440	#3177	—	13	1	no	—
441	#3175	—	13	1	no	—
442	#3168	—	13	1	no	—
443	#3121	—	13	2	no	—
444	#3120	—	13	2	no	—
445	#3117	—	13	2	no	—
446	#2966	D₁₃	1	1	yes	characteristic, complemented
447	#2951	—	13	1	no	—
448	#2950	—	13	1	no	—
449	C₂×C₄×Q₁₆	—	13	1	no	—
450	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
451	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
452	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
453	C₂²×D₁₃	—	2	2	no	—
454	Q₈×C₁₃	—	4	1	no	—
455	D₄×C₁₃	—	2	2	no	—
456	D₄×C₁₃	—	2	2	no	—
457	D₄×C₁₃	—	4	1	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	1	no	—
460	C₂×C₄×C₁₃	—	2	1	no	—
461	C₂×C₄×C₁₃	—	2	1	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	2	1	no	—
464	C₂×C₄×C₁₃	—	2	1	no	—
465	C₂×C₄×C₁₃	—	4	1	no	—
466	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
467	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
468	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
478	C₂²⋊D₁₃	—	4	4	no	—
479	C₂²⋊D₁₃	—	4	4	no	—
480	C₂²⋊D₁₃	—	8	2	no	—
481	C₂×Dic₁₃	—	2	2	no	—
482	C₂×Dic₁₃	—	2	2	no	—
483	C₂×Dic₁₃	—	2	2	no	—
484	C₂×Dic₁₃	—	2	2	no	—
485	C₂×Dic₁₃	—	2	2	no	—
486	C₂×Dic₁₃	—	2	2	no	—
487	C₂×Dic₁₃	—	2	2	no	—
488	C₂×Dic₁₃	—	4	4	no	—
489	C₂×Dic₁₃	—	4	4	no	—
490	C₂×Dic₁₃	—	8	2	no	—
491	C₂×Dic₁₃	—	8	2	no	—
492	D₅₂	—	2	2	no	—
493	D₅₂	—	2	2	no	—
494	C₄×D₁₃	—	4	4	no	—
495	C₄×D₁₃	—	8	2	no	—
496	C₄×D₁₃	—	8	2	no	—
497	Dic₂₆	—	2	2	no	—
498	Dic₂₆	—	2	2	no	—
499	Dic₂₆	—	2	2	no	—
500	Dic₂₆	—	2	2	no	—
501	Dic₂₆	—	2	2	no	—
502	Dic₂₆	—	4	4	no	—
503	Dic₂₆	—	4	4	no	—
504	Dic₂₆	—	8	2	no	—
505	Dic₂₆	C₂×#41	1	4	yes	—
506	C₈×C₁₃	—	2	1	no	—
507	C₈×C₁₃	—	2	1	no	—
508	C₈×C₁₃	—	2	1	no	—
509	C₈×C₁₃	—	2	1	no	—
510	C₈×C₁₃	—	2	1	no	—
511	C₈×C₁₃	—	2	1	no	—
512	C₈×C₁₃	—	2	1	no	—
513	C₈×C₁₃	C₂×#41	1	2	yes	—
514	C₂×#135	—	13	1	no	—
515	C₂²×Q₁₆	—	13	1	no	—
516	C₂²×Q₁₆	—	13	1	no	—
517	#557	—	13	2	no	—
518	#556	—	13	2	no	—
519	#556	—	26	2	no	—
520	#554	—	13	2	no	—
521	#554	—	26	2	no	—
522	#553	—	13	2	no	—
523	#553	—	26	2	no	—
524	#552	—	13	2	no	—
525	#552	—	26	2	no	—
526	D₄×Q₈	—	13	2	no	—
527	#548	—	13	2	no	—
528	#548	—	13	2	no	—
529	#542	—	13	2	no	—
530	#542	—	26	2	no	—
531	#541	—	13	2	no	—
532	#541	—	26	2	no	—
533	#529	—	13	2	no	—
534	#529	—	26	2	no	—
535	#529	—	26	2	no	—
536	#529	C₂×D₁₃	1	1	yes	characteristic
537	#520	—	13	2	no	—
538	#519	—	13	2	no	—
539	C₂×C₄×Q₈	—	13	2	no	—
540	#500	—	13	1	no	—
541	#499	—	13	1	no	—
542	#499	—	13	1	no	—
543	#495	—	13	1	no	—
544	#495	—	13	1	no	—
545	#494	—	13	1	no	—
546	#491	—	13	2	no	—
547	#489	—	13	2	no	—
548	#488	—	13	2	no	—
549	#485	—	13	2	no	—
550	#484	—	13	2	no	—
551	#484	—	13	2	no	—
552	#483	—	13	2	no	—
553	#482	—	13	2	no	—
554	#481	—	13	2	no	—
555	#479	—	13	2	no	—
556	#479	—	13	2	no	—
557	#479	—	13	2	no	—
558	#478	—	13	2	no	—
559	#477	—	13	2	no	—
560	#475	—	13	2	no	—
561	#470	—	13	2	no	—
562	#468	—	13	2	no	—
563	#467	—	13	1	no	—
564	#467	—	13	1	no	—
565	#467	—	13	1	no	—
566	#467	—	13	1	no	—
567	#466	—	13	1	no	—
568	#466	—	13	1	no	—
569	#465	—	13	2	no	—
570	#464	—	13	2	no	—
571	#464	—	13	2	no	—
572	#464	—	13	2	no	—
573	#464	—	13	2	no	—
574	#462	—	13	2	no	—
575	#461	—	13	2	no	—
576	#452	—	13	2	no	—
577	#452	—	13	2	no	—
578	#451	—	13	2	no	—
579	#451	—	13	2	no	—
580	#448	—	13	2	no	—
581	#448	—	13	2	no	—
582	#446	C₂×D₁₃	1	1	yes	characteristic
583	C₈×Q₈	C₂×D₁₃	1	1	yes	characteristic
584	#441	—	13	2	no	—
585	#441	—	13	2	no	—
586	#441	—	13	2	no	—
587	#440	—	13	2	no	—
588	#440	—	13	2	no	—
589	#440	—	13	2	no	—
590	C₄×Q₁₆	—	13	1	no	—
591	C₄×Q₁₆	—	13	1	no	—
592	C₄×Q₁₆	—	13	2	no	—
593	C₄×Q₁₆	—	13	2	no	—
594	C₄×Q₁₆	—	13	1	no	—
595	C₄×Q₁₆	—	13	1	no	—
596	C₄×Q₁₆	—	13	1	no	—
597	C₄×Q₁₆	—	13	1	no	—
598	C₄×Q₁₆	—	13	1	no	—
599	C₄×Q₁₆	—	13	1	no	—
600	C₄×SD₁₆	—	13	2	no	—
601	C₄×D₈	—	13	1	no	—
602	C₄×D₈	—	13	1	no	—
603	#436	C₂×D₁₃	1	1	yes	characteristic
604	#435	C₂×D₁₃	1	1	yes	characteristic
605	#435	C₂×D₁₃	1	1	yes	characteristic
606	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
607	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
608	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
609	#433	C₂×D₁₃	1	1	yes	characteristic
610	#433	C₂×D₁₃	1	1	yes	characteristic
611	#432	C₂×D₁₃	1	1	yes	characteristic
612	#427	—	13	1	no	—
613	C₂×#107	—	13	1	no	—
614	C₂×#107	—	13	1	no	—
615	#419	—	13	2	no	—
616	#417	—	13	2	no	—
617	C₂×#103	—	13	2	no	—
618	#405	C₂×D₁₃	1	1	yes	characteristic
619	#405	C₂×D₁₃	1	1	yes	characteristic
620	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
621	C₂²×C₁₃	—	2	1	no	—
622	C₂²×C₁₃	—	2	1	no	—
623	C₂²×C₁₃	—	2	1	no	—
624	C₂²×C₁₃	—	2	1	no	—
625	C₂²×C₁₃	—	2	1	no	—
626	C₂²×C₁₃	—	2	1	no	—
627	C₂²×C₁₃	—	2	1	no	—
628	C₂²×C₁₃	—	2	1	no	—
629	C₂²×C₁₃	#578	1	2	yes	—
630	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
631	C₂×D₁₃	—	4	2	no	—
632	C₂×D₁₃	—	4	2	no	—
633	C₂×D₁₃	—	4	2	no	—
634	C₄×C₁₃	—	2	1	no	—
635	C₄×C₁₃	—	2	1	no	—
636	C₄×C₁₃	—	2	1	no	—
637	C₄×C₁₃	—	2	1	no	—
638	C₄×C₁₃	—	2	1	no	—
639	C₄×C₁₃	—	2	1	no	—
640	C₄×C₁₃	—	2	1	no	—
641	C₄×C₁₃	—	2	1	no	—
642	C₄×C₁₃	—	2	1	no	—
643	C₄×C₁₃	—	2	1	no	—
644	C₄×C₁₃	—	2	1	no	—
645	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
646	C₄×C₁₃	#585	1	1	yes	characteristic
647	Dic₁₃	—	2	4	no	—
648	Dic₁₃	—	4	2	no	—
649	Dic₁₃	—	4	2	no	—
650	Dic₁₃	—	4	2	no	—
651	Dic₁₃	—	4	2	no	—
652	Dic₁₃	—	4	2	no	—
653	Dic₁₃	—	4	2	no	—
654	C₂×#41	—	13	2	no	—
655	C₂²×Q₈	—	13	2	no	—
656	C₂²×Q₈	—	13	2	no	—
657	#135	—	26	4	no	—
658	C₂×Q₁₆	—	13	1	no	—
659	C₂×Q₁₆	—	13	2	no	—
660	C₂×Q₁₆	—	13	1	no	—
661	C₂×Q₁₆	—	13	1	no	—
662	C₂×Q₁₆	—	13	2	no	—
663	C₂×Q₁₆	—	13	2	no	—
664	C₂×Q₁₆	—	26	4	no	—
665	C₂×Q₁₆	—	26	4	no	—
666	C₂×SD₁₆	—	13	2	no	—
667	C₂×SD₁₆	—	13	2	no	—
668	C₂×SD₁₆	—	13	2	no	—
669	C₂×D₈	—	13	1	no	—
670	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
671	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
672	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
673	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
674	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
675	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
676	C₄⋊Q₈	—	13	2	no	—
677	C₄⋊Q₈	—	13	2	no	—
678	C₄⋊Q₈	—	26	2	no	—
679	C₄⋊Q₈	—	26	2	no	—
680	#126	—	26	2	no	—
681	#126	—	26	2	no	—
682	#126	—	26	2	no	—
683	#126	—	26	2	no	—
684	#126	—	26	2	no	—
685	#126	—	26	2	no	—
686	#126	—	26	2	no	—
687	#126	—	26	2	no	—
688	#126	D₅₂	1	1	yes	characteristic
689	#126	D₅₂	1	1	yes	characteristic
690	#125	—	13	2	no	—
691	#125	—	13	2	no	—
692	#125	—	26	2	no	—
693	#125	—	26	2	no	—
694	#125	—	26	2	no	—
695	#125	—	26	2	no	—
696	#125	—	26	2	no	—
697	#125	—	26	2	no	—
698	#125	D₅₂	1	1	yes	characteristic
699	#124	—	13	2	no	—
700	#124	—	13	2	no	—
701	#124	—	26	2	no	—
702	#124	—	26	2	no	—
703	#124	—	26	2	no	—
704	#124	D₅₂	1	1	yes	characteristic
705	#123	—	26	2	no	—
706	#123	—	26	2	no	—
707	#123	—	26	2	no	—
708	#123	—	26	2	no	—
709	#123	D₅₂	1	1	yes	characteristic
710	#123	D₅₂	1	1	yes	characteristic
711	C₂²⋊Q₈	—	13	2	no	—
712	C₂²⋊Q₈	—	13	2	no	—
713	C₂²⋊Q₈	—	13	2	no	—
714	C₂²⋊Q₈	—	13	2	no	—
715	C₂²⋊Q₈	—	26	2	no	—
716	C₂²⋊Q₈	—	26	2	no	—
717	C₂²⋊Q₈	—	26	2	no	—
718	C₂²⋊Q₈	—	26	2	no	—
719	C₂²⋊Q₈	—	26	2	no	—
720	C₂²⋊Q₈	—	26	2	no	—
721	C₂²⋊Q₈	—	26	2	no	—
722	C₂²⋊Q₈	—	26	2	no	—
723	C₂²⋊Q₈	D₅₂	1	1	yes	characteristic
724	#121	—	13	2	no	—
725	#121	—	13	2	no	—
726	#121	—	26	2	no	—
727	#121	—	26	2	no	—
728	#121	—	26	2	no	—
729	#121	D₅₂	1	1	yes	characteristic
730	C₄×Q₈	—	13	2	no	—
731	C₄×Q₈	—	13	2	no	—
732	C₄×Q₈	—	13	2	no	—
733	C₄×Q₈	—	13	2	no	—
734	C₄×Q₈	—	13	2	no	—
735	C₄×Q₈	—	13	2	no	—
736	C₄×Q₈	—	13	2	no	—
737	C₄×Q₈	—	13	2	no	—
738	C₄×Q₈	—	26	2	no	—
739	C₄×Q₈	—	26	2	no	—
740	C₄×Q₈	—	26	2	no	—
741	C₄×Q₈	—	26	2	no	—
742	C₄×Q₈	—	26	2	no	—
743	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
744	C₄×D₄	—	13	2	no	—
745	C₄×D₄	—	13	2	no	—
746	C₄×D₄	—	26	2	no	—
747	C₄×D₄	—	26	2	no	—
748	C₄×D₄	—	26	2	no	—
749	C₄×D₄	—	26	2	no	—
750	C₄×D₄	—	26	2	no	—
751	C₄×D₄	—	26	2	no	—
752	C₄×D₄	—	26	2	no	—
753	C₄×D₄	—	26	2	no	—
754	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
755	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
756	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
757	#117	—	13	2	no	—
758	#117	—	26	2	no	—
759	#117	—	26	2	no	—
760	#117	—	26	2	no	—
761	#117	—	26	2	no	—
762	#117	—	26	2	no	—
763	#117	—	26	2	no	—
764	#117	C₂²×D₁₃	1	1	yes	characteristic
765	#117	C₂²×D₁₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	—	13	2	no	—
767	C₂×C₄⋊C₄	—	13	2	no	—
768	C₂×C₄⋊C₄	—	26	2	no	—
769	C₂×C₄⋊C₄	—	26	2	no	—
770	C₂×C₄²	—	26	2	no	—
771	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
772	#107	—	13	1	no	—
773	#107	—	13	1	no	—
774	#107	—	13	1	no	—
775	#107	—	13	2	no	—
776	#107	—	13	2	no	—
777	#107	—	13	1	no	—
778	#107	—	13	2	no	—
779	#106	—	13	2	no	—
780	#106	—	13	2	no	—
781	#106	—	13	2	no	—
782	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
783	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
784	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
785	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
786	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
787	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
788	#103	—	13	2	no	—
789	#103	—	13	2	no	—
790	#103	—	13	2	no	—
791	#103	—	13	2	no	—
792	#103	—	13	2	no	—
793	#103	—	13	2	no	—
794	#103	—	13	2	no	—
795	#103	—	13	2	no	—
796	#103	—	13	2	no	—
797	#103	—	13	2	no	—
798	#103	—	13	2	no	—
799	#103	—	13	2	no	—
800	#102	—	13	2	no	—
801	#102	—	13	2	no	—
802	#102	—	13	2	no	—
803	#102	—	13	2	no	—
804	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
805	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
806	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
807	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
808	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
809	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
810	#97	C₂²×D₁₃	1	1	yes	characteristic
811	#97	C₂²×D₁₃	1	1	yes	characteristic
812	#97	C₂²×D₁₃	1	1	yes	characteristic
813	#97	C₂²×D₁₃	1	1	yes	characteristic
814	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
815	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
816	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
817	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
818	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
819	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
820	C₂×C₁₃	—	2	2	no	—
821	C₂×C₁₃	—	4	1	no	—
822	C₂×C₁₃	—	4	1	no	—
823	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
824	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
825	C₂×C₁₃	#3584	1	1	yes	characteristic
826	D₁₃	—	8	2	no	—
827	#41	—	26	4	no	—
828	#41	—	52	2	no	—
829	C₂×Q₈	—	13	2	no	—
830	C₂×Q₈	—	13	2	no	—
831	C₂×Q₈	—	13	2	no	—
832	C₂×Q₈	—	26	4	no	—
833	C₂×Q₈	—	26	4	no	—
834	C₂×Q₈	—	26	2	no	—
835	C₂×Q₈	—	26	2	no	—
836	C₂×Q₈	—	26	2	no	—
837	C₂×Q₈	—	52	2	no	—
838	C₂×Q₈	—	52	2	no	—
839	C₂×Q₈	C₂×D₅₂	1	1	yes	characteristic
840	C₂×D₄	—	13	2	no	—
841	C₂×D₄	—	26	2	no	—
842	C₂×D₄	—	26	2	no	—
843	C₂×D₄	—	26	2	no	—
844	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
845	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
846	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
847	C₂²×C₄	—	26	2	no	—
848	C₂²×C₄	—	26	2	no	—
849	C₂²×C₄	—	26	2	no	—
850	C₂²×C₄	—	26	2	no	—
851	C₂²×C₄	—	26	2	no	—
852	C₂²×C₄	—	26	2	no	—
853	C₂²×C₄	—	26	2	no	—
854	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
855	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
856	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
858	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
859	Q₁₆	—	13	4	no	—
860	Q₁₆	—	26	4	no	—
861	Q₁₆	—	26	4	no	—
862	Q₁₆	—	26	2	no	—
863	Q₁₆	—	26	2	no	—
864	Q₁₆	—	52	2	no	—
865	SD₁₆	—	26	4	no	—
866	SD₁₆	—	52	2	no	—
867	SD₁₆	—	52	2	no	—
868	D₈	—	26	2	no	—
869	M₁₆	—	4	1	no	—
870	M₁₆	—	4	1	no	—
871	C₂×C₈	—	2	2	no	—
872	C₂×C₈	—	2	2	no	—
873	C₂×C₈	—	2	2	no	—
874	C₂×C₈	—	4	1	no	—
875	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
876	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
877	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
878	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
879	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
880	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
881	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
882	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
883	C₄⋊C₄	—	13	2	no	—
884	C₄⋊C₄	—	13	2	no	—
885	C₄⋊C₄	—	13	2	no	—
886	C₄⋊C₄	—	13	2	no	—
887	C₄⋊C₄	—	26	2	no	—
888	C₄⋊C₄	—	26	2	no	—
889	C₄⋊C₄	—	26	2	no	—
890	C₄⋊C₄	—	26	2	no	—
891	C₄⋊C₄	—	26	2	no	—
892	C₄⋊C₄	—	26	2	no	—
893	C₄⋊C₄	—	26	2	no	—
894	C₄⋊C₄	—	26	2	no	—
895	C₄⋊C₄	—	26	2	no	—
896	C₄⋊C₄	—	26	2	no	—
897	C₄⋊C₄	—	26	2	no	—
898	C₄⋊C₄	—	26	2	no	—
899	C₄⋊C₄	—	26	2	no	—
900	C₄⋊C₄	—	26	2	no	—
901	C₄⋊C₄	—	26	2	no	—
902	C₄⋊C₄	—	26	2	no	—
903	C₄⋊C₄	—	26	2	no	—
904	C₄⋊C₄	—	26	2	no	—
905	C₄⋊C₄	—	26	2	no	—
906	C₄⋊C₄	—	26	2	no	—
907	C₄⋊C₄	—	26	2	no	—
908	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
909	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
910	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
911	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
912	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
913	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
914	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
915	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
916	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
917	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
918	C₂²⋊C₄	—	26	2	no	—
919	C₂²⋊C₄	—	26	2	no	—
920	C₂²⋊C₄	—	26	2	no	—
921	C₂²⋊C₄	—	26	2	no	—
922	C₂²⋊C₄	—	26	2	no	—
923	C₂²⋊C₄	—	26	2	no	—
924	C₂²⋊C₄	—	26	2	no	—
925	C₂²⋊C₄	—	26	2	no	—
926	C₂²⋊C₄	—	26	2	no	—
927	C₂²⋊C₄	—	26	2	no	—
928	C₂²⋊C₄	—	26	2	no	—
929	C₂²⋊C₄	—	26	2	no	—
930	C₂²⋊C₄	—	26	2	no	—
931	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
932	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
933	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
934	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
935	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
936	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
937	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
938	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
939	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
940	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
941	C₄²	—	26	2	no	—
942	C₄²	—	26	2	no	—
943	C₄²	—	26	2	no	—
944	C₄²	—	26	2	no	—
945	C₄²	—	26	2	no	—
946	C₄²	—	26	2	no	—
947	C₄²	—	26	2	no	—
948	C₄²	—	26	2	no	—
949	C₄²	—	26	2	no	—
950	C₄²	C₂×D₅₂	1	1	yes	characteristic
951	C₄²	C₂×D₅₂	1	1	yes	characteristic
952	C₄²	C₂³×D₁₃	1	1	yes	characteristic
953	C₄²	C₂³×D₁₃	1	1	yes	characteristic
954	C₄²	C₂³×D₁₃	1	1	yes	characteristic
955	C₄²	C₂³×D₁₃	1	1	yes	characteristic
956	C₁₃	#61473	1	1	yes	characteristic, complemented, Sylow
957	C₂³	—	26	2	no	—
958	C₂³	C₂²×D₅₂	1	1	yes	characteristic
959	C₂³	C₂²×D₅₂	1	1	yes	characteristic
960	C₂³	C₂²×D₅₂	1	1	yes	characteristic
961	Q₈	—	4	1	no	—
962	Q₈	—	13	4	no	—
963	Q₈	—	26	2	no	—
964	Q₈	—	26	2	no	—
965	Q₈	—	26	2	no	—
966	Q₈	—	26	2	no	—
967	Q₈	—	26	2	no	—
968	Q₈	—	52	4	no	—
969	Q₈	—	52	4	no	—
970	Q₈	—	104	2	no	—
971	D₄	—	2	2	no	—
972	D₄	—	2	2	no	—
973	D₄	—	4	1	no	—
974	D₄	—	26	2	no	—
975	D₄	—	26	2	no	—
976	D₄	—	52	4	no	—
977	D₄	—	52	4	no	—
978	D₄	—	104	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	4	1	no	—
987	C₂×C₄	—	26	2	no	—
988	C₂×C₄	—	26	2	no	—
989	C₂×C₄	—	26	2	no	—
990	C₂×C₄	—	26	2	no	—
991	C₂×C₄	—	26	2	no	—
992	C₂×C₄	—	26	2	no	—
993	C₂×C₄	—	26	2	no	—
994	C₂×C₄	—	52	4	no	—
995	C₂×C₄	—	52	4	no	—
996	C₂×C₄	—	52	4	no	—
997	C₂×C₄	—	104	2	no	—
998	C₂×C₄	—	104	2	no	—
999	C₂×C₄	—	104	2	no	—
1000	C₂×C₄	—	104	2	no	—
1001	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1002	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1003	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1005	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1007	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1008	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1010	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1011	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1012	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1013	C₈	—	2	1	no	—
1014	C₈	—	2	1	no	—
1015	C₈	—	2	1	no	—
1016	C₈	—	2	1	no	—
1017	C₈	—	2	1	no	—
1018	C₈	—	2	1	no	—
1019	C₈	—	2	1	no	—
1020	C₈	#41×D₁₃	1	2	yes	—
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	1	no	—
1023	C₂²	—	2	1	no	—
1024	C₂²	—	2	1	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	52	2	no	—
1030	C₂²	—	52	2	no	—
1031	C₂²	—	52	2	no	—
1032	C₂²	#11719458	1	2	yes	—
1033	C₂²	C₂³×D₅₂	1	1	yes	characteristic
1034	C₄	—	2	1	no	—
1035	C₄	—	2	1	no	—
1036	C₄	—	2	1	no	—
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	1	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	1	no	—
1043	C₄	—	2	1	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	26	4	no	—
1046	C₄	—	52	2	no	—
1047	C₄	—	52	2	no	—
1048	C₄	—	52	2	no	—
1049	C₄	—	52	2	no	—
1050	C₄	—	52	2	no	—
1051	C₄	—	52	2	no	—
1052	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1053	C₄	#11719648	1	1	yes	characteristic
1054	C₂	—	2	2	no	—
1055	C₂	—	4	1	no	—
1056	C₂	—	4	1	no	—
1057	C₂	—	104	2	no	—
1058	C₂	#41×D₅₂	1	1	yes	characteristic
1059	C₂	C₂×#11719458	1	1	yes	characteristic
1060	C₂	#13129610	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₅₂
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#2966	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#2966	D₁₃
hypocenter	C₁₃	#61473
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #2966

Complements

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

N	H ≅ G/N	type
1. #13128825	C₂	semidirect
2. #13127825	C₂	semidirect
3. #13127728	C₂	semidirect
4. #13127680	C₂	semidirect
5. #13127239	C₂	semidirect
6. #13127229	C₂	semidirect
7. #13127205	C₂	semidirect
8. #13127106	C₂	semidirect
9. #13127009	C₂	semidirect
10. #13126949	C₂	semidirect
11. D₄×Dic₅₂	C₂	semidirect
12. #13126579	C₂	semidirect
13. #13126579	C₂	semidirect
14. #13125495	C₂	semidirect
15. #13125475	C₂	semidirect
16. #13125406	C₂	semidirect
17. #13125067	C₂	semidirect
18. #13125052	C₂	semidirect
19. #13125009	C₂	semidirect
20. #13123713	C₂	semidirect
21. #13123705	C₂	semidirect
22. C₂×C₄×Dic₅₂	C₂	semidirect
23. C₁₃×#2966	C₂	semidirect
446. #2966	D₁₃	semidirect
956. C₁₃	#61473	semidirect

Maximal subgroups

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

subgroup	index
#13128825	2
#13127825	2
#13127728	2
#13127680	2
#13127239	2
#13127229	2
#13127205	2
#13127106	2
#13127009	2
#13126949	2
D₄×Dic₅₂	2
#13126579	2
#13125495	2
#13125475	2
#13125406	2
#13125067	2
#13125052	2
#13125009	2
#13123713	2
#13123705	2
C₂×C₄×Dic₅₂	2
C₁₃×#2966	2
#61473	13