Subgroups — #16745304

Order 3328.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128780	C₂	1	2	yes	maximal, complemented
2	#13127849	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127704	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127591	C₂	1	2	yes	maximal, complemented
5	#13127239	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127205	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127184	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127039	C₂	1	2	yes	maximal, complemented
9	#13126859	C₂	1	2	yes	maximal, complemented
10	#13126799	C₂	1	2	yes	maximal, complemented
11	#13126523	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126523	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×D₁₀₄	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125486	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	#13125037	C₂	1	2	yes	maximal, complemented
18	#13125022	C₂	1	2	yes	maximal, complemented
19	#13124976	C₂	1	2	yes	maximal, complemented
20	#13123713	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123689	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₁₀₄	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	C₂×#88158	C₂²	1	1	yes	characteristic
26	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic
27	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic
28	#11719414	—	2	2	no	—
29	#11719410	—	2	2	no	—
30	#11719397	—	2	2	no	—
31	#11719383	—	2	2	no	—
32	#11719361	—	2	2	no	—
33	D₁₃×#123	—	2	2	no	—
34	#11719342	—	2	2	no	—
35	#11719315	—	2	2	no	—
36	#11719290	C₂²	1	2	yes	complemented
37	#11719284	C₂²	1	2	yes	complemented
38	#11719270	C₂²	1	2	yes	complemented
39	#11719260	C₂²	1	2	yes	complemented
40	#11719255	C₂²	1	2	yes	complemented
41	#11719255	C₂²	1	2	yes	complemented
42	D₄×D₅₂	C₂²	1	2	yes	—
43	#11719246	C₂²	1	2	yes	—
44	#11719240	C₂²	1	2	yes	complemented
45	#11719239	C₂²	1	2	yes	complemented
46	#11719228	C₂²	1	2	yes	complemented
47	#11719226	C₂²	1	2	yes	complemented
48	#11719184	C₂²	1	2	yes	complemented
49	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
50	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
51	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#435	C₂²	1	1	yes	characteristic
54	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
55	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	#11718796	C₂²	1	2	yes	complemented
65	#11718795	C₂²	1	2	yes	complemented
66	#11718794	C₂²	1	2	yes	complemented
67	#11718792	C₂²	1	2	yes	complemented
68	#11718777	C₂²	1	1	yes	characteristic, complemented
69	#11718777	C₂²	1	1	yes	characteristic, complemented
70	#11718776	C₂²	1	1	yes	characteristic
71	#11718776	C₂²	1	1	yes	characteristic
72	#11718776	C₂²	1	1	yes	characteristic, complemented
73	#11718776	C₂²	1	1	yes	characteristic, complemented
74	#11718775	C₂²	1	2	yes	complemented
75	C₂×#88061	C₂²	1	2	yes	complemented
76	#11718767	C₂²	1	1	yes	characteristic, complemented
77	C₂×#88058	C₂²	1	1	yes	characteristic, complemented
78	C₂×#88058	C₂²	1	1	yes	characteristic, complemented
79	#11718509	C₂²	1	2	yes	complemented
80	#11718508	C₂²	1	2	yes	complemented
81	#11718508	C₂²	1	2	yes	complemented
82	#11718508	C₂²	1	2	yes	complemented
83	#11718507	C₂²	1	2	yes	complemented
84	#11718505	C₂²	1	2	yes	complemented
85	#11718505	C₂²	1	2	yes	complemented
86	#11718505	C₂²	1	2	yes	complemented
87	#11718505	C₂²	1	2	yes	complemented
88	#11718504	C₂²	1	2	yes	—
89	#11718503	C₂²	1	2	yes	complemented
90	#11718490	C₂²	1	2	yes	complemented
91	#11718398	C₂²	1	2	yes	complemented
92	#11718397	C₂²	1	2	yes	complemented
93	#11718397	C₂²	1	2	yes	complemented
94	#11718396	C₂²	1	2	yes	complemented
95	#11718395	C₂²	1	2	yes	complemented
96	#11718395	C₂²	1	2	yes	complemented
97	#11718393	C₂²	1	2	yes	—
98	#11718393	C₂²	1	2	yes	—
99	#11718392	C₂²	1	2	yes	complemented
100	#11718392	C₂²	1	2	yes	complemented
101	#11718384	C₂²	1	2	yes	complemented
102	#11718382	C₂²	1	2	yes	complemented
103	#11718375	C₂²	1	2	yes	complemented
104	#11718374	C₂²	1	2	yes	complemented
105	#11718372	C₂²	1	2	yes	complemented
106	#11718372	C₂²	1	2	yes	complemented
107	#11718372	C₂²	1	2	yes	complemented
108	#11718371	C₂²	1	2	yes	complemented
109	#11718371	C₂²	1	2	yes	complemented
110	#11718371	C₂²	1	2	yes	complemented
111	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
112	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
113	#11718358	C₂²	1	2	yes	complemented
114	#11718357	C₂²	1	1	yes	characteristic, complemented
115	#11718357	C₂²	1	1	yes	characteristic, complemented
116	#11718356	C₂²	1	1	yes	characteristic
117	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
118	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
119	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
120	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
121	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₁₀₄	C₂²	1	2	yes	complemented
124	C₄×D₁₀₄	C₂²	1	2	yes	complemented
125	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
126	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6095	C₂²	1	2	yes	complemented
128	#11718344	C₂²	1	1	yes	characteristic, complemented
129	#11718344	C₂²	1	1	yes	characteristic, complemented
130	#11718343	C₂²	1	1	yes	characteristic, complemented
131	C₂×#6129	—	2	2	no	—
132	C₂×D₄×D₁₃	—	2	2	no	—
133	C₂×#6127	C₂³	1	2	yes	—
134	C₂²×D₅₂	C₂³	1	2	yes	—
135	C₂²×D₅₂	C₂³	1	2	yes	—
136	C₂²×C₄×D₁₃	—	2	2	no	—
137	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
139	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₁₃×#126	D₄	1	1	yes	characteristic
144	C₁₃×#126	D₄	1	1	yes	characteristic
145	C₁₃×#125	D₄	1	1	yes	characteristic
146	C₁₃×#124	D₄	1	1	yes	characteristic
147	C₁₃×#123	D₄	1	1	yes	characteristic
148	C₁₃×#123	D₄	1	1	yes	characteristic
149	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
150	C₁₃×#121	D₄	1	1	yes	characteristic
151	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₁₃×#117	C₂³	1	1	yes	characteristic
156	C₁₃×#117	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
158	#88201	—	2	2	no	—
159	#88200	—	2	2	no	—
160	#88193	—	2	2	no	—
161	#88191	—	2	2	no	—
162	#88191	—	2	2	no	—
163	#88189	—	2	2	no	—
164	#88184	C₂³	1	2	yes	—
165	#88184	C₂³	1	2	yes	—
166	#88184	C₂³	1	2	yes	—
167	#88184	C₂³	1	2	yes	—
168	#88183	—	2	2	no	—
169	C₄×C₂²⋊D₁₃	—	2	2	no	—
170	C₂×#6103	—	2	2	no	—
171	#88180	C₂³	1	2	yes	—
172	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
173	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
174	#88178	C₂³	1	2	yes	—
175	#88178	C₂³	1	2	yes	—
176	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
177	#88158	—	2	4	no	—
178	C₂×D₁₀₄	—	2	4	no	—
179	C₂×D₁₀₄	—	2	4	no	—
180	C₂×D₁₀₄	C₂³	1	2	yes	—
181	C₂×D₁₀₄	C₂³	1	2	yes	—
182	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
183	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
184	C₂×D₁₀₄	C₂³	1	2	yes	—
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	#88151	—	2	2	no	—
192	#88150	—	2	2	no	—
193	#88150	—	2	2	no	—
194	#88150	—	2	2	no	—
195	#88149	—	2	2	no	—
196	#88148	—	2	2	no	—
197	#88148	—	2	2	no	—
198	#88148	—	2	2	no	—
199	#88148	—	2	2	no	—
200	#88148	—	2	2	no	—
201	#88148	—	2	2	no	—
202	#88147	—	2	2	no	—
203	#88147	—	2	2	no	—
204	#88147	—	2	2	no	—
205	#88146	—	2	2	no	—
206	C₄⋊C₄×D₁₃	—	2	2	no	—
207	C₄⋊C₄×D₁₃	—	2	2	no	—
208	#88143	—	2	2	no	—
209	#88140	—	2	2	no	—
210	#88140	—	2	2	no	—
211	#88139	—	2	2	no	—
212	#88138	—	2	2	no	—
213	#88138	—	2	2	no	—
214	#88138	—	2	2	no	—
215	#88138	—	2	2	no	—
216	#88137	—	2	2	no	—
217	#88137	—	2	2	no	—
218	#88136	—	2	2	no	—
219	#88136	—	2	2	no	—
220	#88135	—	2	2	no	—
221	#88135	—	2	2	no	—
222	#88135	—	2	2	no	—
223	C₂²⋊C₄×D₁₃	—	2	2	no	—
224	C₂²⋊C₄×D₁₃	—	2	2	no	—
225	C₂²⋊C₄×D₁₃	—	2	2	no	—
226	C₂²⋊C₄×D₁₃	—	2	2	no	—
227	#88133	—	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	#88128	C₂³	1	2	yes	—
233	C₄×D₅₂	—	2	2	no	—
234	C₄×D₅₂	—	2	2	no	—
235	C₄×D₅₂	C₂³	1	2	yes	—
236	C₄×D₅₂	C₂³	1	2	yes	—
237	C₄×D₅₂	C₂³	1	2	yes	—
238	C₄×D₅₂	C₂³	1	2	yes	—
239	C₄×D₅₂	C₂³	1	2	yes	—
240	C₄×D₅₂	C₂³	1	2	yes	—
241	C₄×D₅₂	C₂³	1	2	yes	—
242	C₄×D₅₂	C₂³	1	2	yes	—
243	#88126	—	2	2	no	—
244	#88124	C₂³	1	2	yes	—
245	#88124	C₂³	1	2	yes	—
246	#88123	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	#88061	C₂³	1	2	yes	—
276	#88061	C₂³	1	2	yes	—
277	#88061	C₂³	1	2	yes	—
278	#88061	C₂³	1	2	yes	—
279	#88061	C₂³	1	2	yes	—
280	#88061	C₂³	1	2	yes	—
281	#88061	C₂³	1	2	yes	—
282	#88061	C₂³	1	2	yes	—
283	#88058	C₂³	1	2	yes	—
284	#88058	C₂³	1	2	yes	—
285	#88058	C₂³	1	2	yes	—
286	#88058	C₂³	1	1	yes	characteristic
287	#88058	C₂³	1	1	yes	characteristic
288	#88058	C₂³	1	1	yes	characteristic
289	#88058	C₂³	1	1	yes	characteristic
290	#88057	C₂³	1	2	yes	—
291	#88057	C₂³	1	2	yes	—
292	#88057	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	#61471	—	13	1	no	maximal, Sylow
298	C₂³×D₁₃	—	2	2	no	—
299	C₂³×D₁₃	—	2	2	no	—
300	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
301	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
302	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
303	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
309	C₂×C₂²⋊D₁₃	—	2	2	no	—
310	C₂×C₂²⋊D₁₃	—	2	2	no	—
311	C₂×C₂²⋊D₁₃	—	2	2	no	—
312	C₂×C₂²⋊D₁₃	—	2	2	no	—
313	C₂×C₂²⋊D₁₃	—	2	2	no	—
314	C₂²×Dic₁₃	—	2	2	no	—
315	C₂²×Dic₁₃	—	2	2	no	—
316	#6129	—	8	4	no	—
317	D₄×D₁₃	—	8	4	no	—
318	#6127	—	2	4	no	—
319	#6127	—	4	2	no	—
320	C₂×D₅₂	—	2	4	no	—
321	C₂×D₅₂	—	2	4	no	—
322	C₂×D₅₂	—	2	2	no	—
323	C₂×D₅₂	—	2	2	no	—
324	C₂×D₅₂	—	2	2	no	—
325	C₂×D₅₂	—	2	2	no	—
326	C₂×D₅₂	—	4	2	no	—
327	C₂×D₅₂	—	4	2	no	—
328	C₂×D₅₂	C₂⁴	1	2	yes	—
329	C₂×D₅₂	C₂⁴	1	2	yes	—
330	C₂×D₅₂	C₂⁴	1	2	yes	—
331	C₂×C₄×D₁₃	—	2	2	no	—
332	C₂×C₄×D₁₃	—	2	2	no	—
333	C₂×C₄×D₁₃	—	2	2	no	—
334	C₂×C₄×D₁₃	—	2	2	no	—
335	C₂×C₄×D₁₃	—	2	2	no	—
336	C₂×C₄×D₁₃	—	2	2	no	—
337	C₂×C₄×D₁₃	—	2	2	no	—
338	C₂×C₄×D₁₃	—	2	2	no	—
339	C₂×C₄×D₁₃	—	2	2	no	—
340	C₂×C₄×D₁₃	—	8	4	no	—
341	C₂×Dic₂₆	—	2	2	no	—
342	C₂×Dic₂₆	C₂⁴	1	2	yes	—
343	C₁₃×M₁₆	—	4	1	no	—
344	C₁₃×M₁₆	—	4	1	no	—
345	C₂×C₈×C₁₃	—	2	2	no	—
346	C₂×C₈×C₁₃	—	2	2	no	—
347	C₂×C₈×C₁₃	—	2	2	no	—
348	C₂×C₈×C₁₃	—	4	1	no	—
349	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
358	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
359	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
361	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
363	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
364	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
365	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
367	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
368	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
369	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
370	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
372	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
373	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
374	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
375	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
376	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
377	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²⋊Dic₁₃	—	2	2	no	—
384	C₂²⋊Dic₁₃	—	2	2	no	—
385	C₂²⋊Dic₁₃	—	2	2	no	—
386	#6103	—	2	2	no	—
387	#6103	—	2	2	no	—
388	#6103	—	2	2	no	—
389	#6103	—	2	2	no	—
390	#6103	—	2	2	no	—
391	#6103	—	2	2	no	—
392	#6103	—	2	2	no	—
393	#6103	—	2	2	no	—
394	#6103	—	2	2	no	—
395	#6103	—	2	2	no	—
396	#6103	—	2	2	no	—
397	#6103	—	2	2	no	—
398	#6103	—	2	2	no	—
399	#6103	—	2	2	no	—
400	#6103	—	2	2	no	—
401	#6103	—	2	2	no	—
402	C₄⋊Dic₁₃	—	2	2	no	—
403	C₄⋊Dic₁₃	—	2	2	no	—
404	C₄⋊Dic₁₃	—	2	2	no	—
405	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
406	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
407	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
408	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
409	#6101	—	2	2	no	—
410	#6101	—	2	2	no	—
411	#6101	—	2	2	no	—
412	#6101	—	2	2	no	—
413	#6101	—	2	2	no	—
414	#6101	—	2	2	no	—
415	#6101	—	2	2	no	—
416	#6101	—	2	2	no	—
417	C₄×Dic₁₃	—	2	2	no	—
418	C₄×Dic₁₃	—	2	2	no	—
419	C₄×Dic₁₃	—	2	2	no	—
420	Dic₅₂	—	2	2	no	—
421	D₁₀₄	—	2	4	no	—
422	D₁₀₄	—	2	4	no	—
423	D₁₀₄	—	2	2	no	—
424	D₁₀₄	—	2	2	no	—
425	D₁₀₄	—	4	2	no	—
426	D₁₀₄	#41	1	4	yes	complemented
427	#6095	—	2	4	no	—
428	#6095	—	4	2	no	—
429	#6095	—	4	2	no	—
430	#3513	—	13	2	no	—
431	#3396	—	13	1	no	—
432	#3380	—	13	1	no	—
433	#3370	—	13	2	no	—
434	#3339	—	13	1	no	—
435	#3336	—	13	1	no	—
436	#3334	—	13	1	no	—
437	#3322	—	13	2	no	—
438	#3310	—	13	2	no	—
439	#3306	—	13	2	no	—
440	#3280	—	13	1	no	—
441	#3280	—	13	1	no	—
442	D₄×D₈	—	13	1	no	—
443	#3176	—	13	1	no	—
444	#3175	—	13	1	no	—
445	#3168	—	13	1	no	—
446	#3119	—	13	2	no	—
447	#3118	—	13	2	no	—
448	#3114	—	13	2	no	—
449	#2966	D₁₃	1	1	yes	characteristic, complemented
450	#2951	—	13	1	no	—
451	#2948	—	13	1	no	—
452	C₂×C₄×D₈	—	13	1	no	—
453	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
455	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
456	C₂²×D₁₃	—	2	2	no	—
457	C₂²×D₁₃	—	2	2	no	—
458	C₂²×D₁₃	—	2	2	no	—
459	C₂²×D₁₃	—	4	4	no	—
460	C₂²×D₁₃	—	4	4	no	—
461	C₂²×D₁₃	—	4	4	no	—
462	C₂²×D₁₃	—	8	2	no	—
463	C₂²×D₁₃	—	8	2	no	—
464	C₂²×D₁₃	—	8	2	no	—
465	Q₈×C₁₃	—	4	1	no	—
466	D₄×C₁₃	—	2	2	no	—
467	D₄×C₁₃	—	2	2	no	—
468	D₄×C₁₃	—	4	1	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	1	no	—
471	C₂×C₄×C₁₃	—	2	1	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	1	no	—
475	C₂×C₄×C₁₃	—	2	1	no	—
476	C₂×C₄×C₁₃	—	4	1	no	—
477	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
485	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
489	C₂²⋊D₁₃	—	4	4	no	—
490	C₂²⋊D₁₃	—	4	4	no	—
491	C₂²⋊D₁₃	—	8	2	no	—
492	C₂²⋊D₁₃	—	8	2	no	—
493	C₂²⋊D₁₃	—	8	2	no	—
494	C₂×Dic₁₃	—	2	2	no	—
495	C₂×Dic₁₃	—	2	2	no	—
496	C₂×Dic₁₃	—	2	2	no	—
497	C₂×Dic₁₃	—	2	2	no	—
498	C₂×Dic₁₃	—	2	2	no	—
499	C₂×Dic₁₃	—	4	4	no	—
500	C₂×Dic₁₃	—	8	2	no	—
501	D₅₂	—	2	2	no	—
502	D₅₂	—	2	2	no	—
503	D₅₂	—	2	2	no	—
504	D₅₂	—	2	2	no	—
505	D₅₂	—	2	2	no	—
506	D₅₂	—	4	4	no	—
507	D₅₂	—	4	4	no	—
508	D₅₂	—	8	2	no	—
509	D₅₂	—	8	2	no	—
510	D₅₂	C₂×#41	1	4	yes	—
511	C₄×D₁₃	—	4	4	no	—
512	C₄×D₁₃	—	8	2	no	—
513	C₄×D₁₃	—	8	2	no	—
514	C₄×D₁₃	—	8	2	no	—
515	C₄×D₁₃	—	8	2	no	—
516	C₄×D₁₃	—	8	2	no	—
517	C₄×D₁₃	—	8	2	no	—
518	C₄×D₁₃	—	8	2	no	—
519	C₄×D₁₃	—	8	2	no	—
520	Dic₂₆	—	2	2	no	—
521	Dic₂₆	—	2	2	no	—
522	Dic₂₆	—	8	2	no	—
523	C₈×C₁₃	—	2	1	no	—
524	C₈×C₁₃	—	2	1	no	—
525	C₈×C₁₃	—	2	1	no	—
526	C₈×C₁₃	—	2	1	no	—
527	C₈×C₁₃	—	2	1	no	—
528	C₈×C₁₃	—	2	1	no	—
529	C₈×C₁₃	—	2	1	no	—
530	C₈×C₁₃	C₂×#41	1	2	yes	—
531	C₂×#135	—	13	1	no	—
532	C₂²×D₈	—	13	1	no	—
533	C₂²×D₈	—	13	1	no	—
534	#559	—	13	2	no	—
535	#554	—	13	2	no	—
536	#553	—	13	2	no	—
537	#553	—	26	2	no	—
538	#552	—	13	2	no	—
539	#551	—	26	2	no	—
540	#551	—	26	2	no	—
541	#547	—	13	2	no	—
542	#546	—	13	2	no	—
543	#546	—	13	2	no	—
544	#546	—	26	2	no	—
545	D₄²	—	13	2	no	—
546	#542	—	13	2	no	—
547	#540	—	13	2	no	—
548	#539	—	26	2	no	—
549	#538	—	26	2	no	—
550	#529	—	13	2	no	—
551	#529	C₂×D₁₃	1	1	yes	characteristic
552	#525	—	26	2	no	—
553	C₂×#123	—	26	2	no	—
554	#520	—	13	2	no	—
555	#518	—	13	2	no	—
556	C₂×C₄×D₄	—	13	2	no	—
557	#500	—	13	1	no	—
558	#499	—	13	1	no	—
559	#499	—	13	1	no	—
560	#495	—	13	1	no	—
561	#495	—	13	1	no	—
562	#493	—	13	1	no	—
563	#490	—	13	2	no	—
564	#489	—	13	2	no	—
565	#488	—	13	2	no	—
566	#485	—	13	2	no	—
567	#483	—	13	2	no	—
568	#482	—	13	2	no	—
569	#481	—	13	2	no	—
570	#480	—	13	2	no	—
571	#480	—	13	2	no	—
572	#479	—	13	2	no	—
573	#478	—	13	2	no	—
574	#478	—	13	2	no	—
575	#478	—	13	2	no	—
576	#476	—	13	2	no	—
577	#474	—	13	2	no	—
578	#469	—	13	2	no	—
579	#468	—	13	2	no	—
580	#467	—	13	1	no	—
581	#467	—	13	1	no	—
582	#466	—	13	1	no	—
583	#466	—	13	1	no	—
584	#466	—	13	1	no	—
585	#466	—	13	1	no	—
586	#465	—	13	2	no	—
587	#463	—	13	2	no	—
588	#463	—	13	2	no	—
589	#463	—	13	2	no	—
590	#463	—	13	2	no	—
591	#460	—	13	2	no	—
592	#459	—	13	2	no	—
593	#450	—	13	2	no	—
594	#450	—	13	2	no	—
595	#449	—	13	2	no	—
596	#449	—	13	2	no	—
597	#447	—	13	2	no	—
598	#447	—	13	2	no	—
599	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
600	C₈×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
601	#442	—	13	2	no	—
602	#442	—	13	2	no	—
603	#442	—	13	2	no	—
604	#440	—	13	2	no	—
605	#440	—	13	2	no	—
606	#440	—	13	2	no	—
607	C₄×Q₁₆	—	13	1	no	—
608	C₄×Q₁₆	—	13	1	no	—
609	C₄×SD₁₆	—	13	2	no	—
610	C₄×D₈	—	13	1	no	—
611	C₄×D₈	—	13	1	no	—
612	C₄×D₈	—	13	2	no	—
613	C₄×D₈	—	13	2	no	—
614	C₄×D₈	—	13	1	no	—
615	C₄×D₈	—	13	1	no	—
616	C₄×D₈	—	13	1	no	—
617	C₄×D₈	—	13	1	no	—
618	C₄×D₈	—	13	1	no	—
619	C₄×D₈	—	13	1	no	—
620	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
621	#435	C₂×D₁₃	1	1	yes	characteristic
622	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
623	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
624	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
625	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
626	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
627	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
628	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
629	#427	—	13	1	no	—
630	C₂×#107	—	13	1	no	—
631	C₂×#107	—	13	1	no	—
632	#418	—	13	2	no	—
633	#417	—	13	2	no	—
634	C₂×#102	—	13	2	no	—
635	#405	C₂×D₁₃	1	1	yes	characteristic, complemented
636	#405	C₂×D₁₃	1	1	yes	characteristic, complemented
637	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
638	C₂²×C₁₃	—	2	1	no	—
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	1	no	—
641	C₂²×C₁₃	—	2	1	no	—
642	C₂²×C₁₃	—	2	1	no	—
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	2	1	no	—
646	C₂²×C₁₃	#576	1	2	yes	—
647	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
648	C₂×D₁₃	—	2	4	no	—
649	C₂×D₁₃	—	4	2	no	—
650	C₂×D₁₃	—	4	2	no	—
651	C₂×D₁₃	—	4	2	no	—
652	C₂×D₁₃	—	4	2	no	—
653	C₂×D₁₃	—	4	2	no	—
654	C₂×D₁₃	—	4	2	no	—
655	C₂×D₁₃	—	4	2	no	—
656	C₂×D₁₃	—	4	2	no	—
657	C₂×D₁₃	—	8	8	no	—
658	C₂×D₁₃	—	16	4	no	—
659	C₄×C₁₃	—	2	1	no	—
660	C₄×C₁₃	—	2	1	no	—
661	C₄×C₁₃	—	2	1	no	—
662	C₄×C₁₃	—	2	1	no	—
663	C₄×C₁₃	—	2	1	no	—
664	C₄×C₁₃	—	2	1	no	—
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	1	no	—
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
671	C₄×C₁₃	#585	1	1	yes	characteristic
672	Dic₁₃	—	4	2	no	—
673	Dic₁₃	—	4	2	no	—
674	Dic₁₃	—	4	2	no	—
675	Dic₁₃	—	4	2	no	—
676	Dic₁₃	—	4	2	no	—
677	C₂×#41	—	13	2	no	—
678	C₂×#41	—	26	2	no	—
679	C₂²×D₄	—	13	2	no	—
680	C₂²×D₄	—	13	2	no	—
681	C₂²×D₄	—	26	2	no	—
682	C₂³×C₄	—	26	2	no	—
683	#135	—	26	4	no	—
684	C₂×Q₁₆	—	13	1	no	—
685	C₂×SD₁₆	—	13	2	no	—
686	C₂×SD₁₆	—	13	2	no	—
687	C₂×SD₁₆	—	13	2	no	—
688	C₂×D₈	—	13	1	no	—
689	C₂×D₈	—	13	2	no	—
690	C₂×D₈	—	13	1	no	—
691	C₂×D₈	—	13	1	no	—
692	C₂×D₈	—	13	2	no	—
693	C₂×D₈	—	13	2	no	—
694	C₂×D₈	—	26	4	no	—
695	C₂×D₈	—	26	4	no	—
696	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
697	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
698	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
699	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
700	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
701	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
702	C₄⋊Q₈	—	13	2	no	—
703	#127	—	13	2	no	—
704	#126	—	26	2	no	—
705	#126	—	26	2	no	—
706	#126	—	26	2	no	—
707	#126	—	26	2	no	—
708	#126	D₅₂	1	1	yes	characteristic
709	#126	D₅₂	1	1	yes	characteristic
710	#125	—	13	2	no	—
711	#125	—	13	2	no	—
712	#125	—	26	2	no	—
713	#125	D₅₂	1	1	yes	characteristic
714	#124	—	13	2	no	—
715	#124	—	13	2	no	—
716	#124	—	26	2	no	—
717	#124	—	26	2	no	—
718	#124	D₅₂	1	1	yes	characteristic
719	#123	—	26	2	no	—
720	#123	—	26	2	no	—
721	#123	—	26	2	no	—
722	#123	—	26	2	no	—
723	#123	—	26	2	no	—
724	#123	—	26	2	no	—
725	#123	—	26	2	no	—
726	#123	—	26	2	no	—
727	#123	—	26	2	no	—
728	#123	—	26	2	no	—
729	#123	—	26	2	no	—
730	#123	—	26	2	no	—
731	#123	D₅₂	1	1	yes	characteristic
732	#123	D₅₂	1	1	yes	characteristic
733	C₂²⋊Q₈	—	13	2	no	—
734	C₂²⋊Q₈	—	13	2	no	—
735	C₂²⋊Q₈	—	26	2	no	—
736	C₂²⋊Q₈	—	26	2	no	—
737	C₂²⋊Q₈	—	26	2	no	—
738	C₂²⋊Q₈	—	26	2	no	—
739	C₂²⋊Q₈	—	26	2	no	—
740	C₂²⋊Q₈	D₅₂	1	1	yes	characteristic
741	#121	—	13	2	no	—
742	#121	—	13	2	no	—
743	#121	—	13	2	no	—
744	#121	—	13	2	no	—
745	#121	—	26	2	no	—
746	#121	—	26	2	no	—
747	#121	—	26	2	no	—
748	#121	—	26	2	no	—
749	#121	—	26	2	no	—
750	#121	—	26	2	no	—
751	#121	D₅₂	1	1	yes	characteristic
752	#120	—	26	2	no	—
753	#120	—	26	2	no	—
754	#120	—	26	2	no	—
755	#120	—	26	2	no	—
756	C₄×Q₈	—	13	2	no	—
757	C₄×Q₈	—	13	2	no	—
758	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
759	C₄×D₄	—	13	2	no	—
760	C₄×D₄	—	13	2	no	—
761	C₄×D₄	—	13	2	no	—
762	C₄×D₄	—	13	2	no	—
763	C₄×D₄	—	13	2	no	—
764	C₄×D₄	—	13	2	no	—
765	C₄×D₄	—	13	2	no	—
766	C₄×D₄	—	13	2	no	—
767	C₄×D₄	—	26	2	no	—
768	C₄×D₄	—	26	2	no	—
769	C₄×D₄	—	26	2	no	—
770	C₄×D₄	—	26	2	no	—
771	C₄×D₄	—	26	2	no	—
772	C₄×D₄	—	26	2	no	—
773	C₄×D₄	—	26	2	no	—
774	C₄×D₄	—	26	2	no	—
775	C₄×D₄	—	26	2	no	—
776	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
777	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
778	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
779	#117	—	13	2	no	—
780	#117	—	26	2	no	—
781	#117	—	26	2	no	—
782	#117	—	26	2	no	—
783	#117	C₂²×D₁₃	1	1	yes	characteristic
784	#117	C₂²×D₁₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	—	13	2	no	—
786	C₂×C₄⋊C₄	—	13	2	no	—
787	C₂×C₄⋊C₄	—	26	2	no	—
788	C₂×C₄⋊C₄	—	26	2	no	—
789	C₂×C₂²⋊C₄	—	26	2	no	—
790	C₂×C₂²⋊C₄	—	26	2	no	—
791	C₂×C₂²⋊C₄	—	26	2	no	—
792	C₂×C₂²⋊C₄	—	26	2	no	—
793	C₂×C₂²⋊C₄	—	26	2	no	—
794	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
795	#107	—	13	1	no	—
796	#107	—	13	1	no	—
797	#107	—	13	2	no	—
798	#107	—	13	1	no	—
799	#107	—	13	2	no	—
800	#107	—	13	1	no	—
801	#107	—	13	2	no	—
802	#106	—	13	2	no	—
803	#106	—	13	2	no	—
804	#106	—	13	2	no	—
805	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
806	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
807	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
808	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
809	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
810	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
811	#103	—	13	2	no	—
812	#103	—	13	2	no	—
813	#103	—	13	2	no	—
814	#103	—	13	2	no	—
815	#102	—	13	2	no	—
816	#102	—	13	2	no	—
817	#102	—	13	2	no	—
818	#102	—	13	2	no	—
819	#102	—	13	2	no	—
820	#102	—	13	2	no	—
821	#102	—	13	2	no	—
822	#102	—	13	2	no	—
823	#102	—	13	2	no	—
824	#102	—	13	2	no	—
825	#102	—	13	2	no	—
826	#102	—	13	2	no	—
827	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
828	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
829	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
830	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
831	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
832	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
833	#97	C₂²×D₁₃	1	1	yes	characteristic
834	#97	C₂²×D₁₃	1	1	yes	characteristic
835	#97	C₂²×D₁₃	1	1	yes	characteristic
836	#97	C₂²×D₁₃	1	1	yes	characteristic
837	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
838	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
839	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
840	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
841	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
842	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
843	C₂×C₁₃	—	2	2	no	—
844	C₂×C₁₃	—	4	1	no	—
845	C₂×C₁₃	—	4	1	no	—
846	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
847	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
848	C₂×C₁₃	#3584	1	1	yes	characteristic
849	D₁₃	—	4	4	no	—
850	D₁₃	—	8	2	no	—
851	D₁₃	—	8	2	no	—
852	C₂⁴	—	26	2	no	—
853	C₂⁴	—	26	2	no	—
854	#41	—	26	4	no	—
855	#41	—	52	2	no	—
856	#41	—	104	4	no	—
857	C₂×Q₈	—	13	2	no	—
858	C₂×Q₈	—	26	2	no	—
859	C₂×Q₈	C₂×D₅₂	1	1	yes	characteristic
860	C₂×D₄	—	13	2	no	—
861	C₂×D₄	—	13	2	no	—
862	C₂×D₄	—	13	2	no	—
863	C₂×D₄	—	26	4	no	—
864	C₂×D₄	—	26	4	no	—
865	C₂×D₄	—	26	2	no	—
866	C₂×D₄	—	26	2	no	—
867	C₂×D₄	—	26	2	no	—
868	C₂×D₄	—	26	2	no	—
869	C₂×D₄	—	26	2	no	—
870	C₂×D₄	—	26	2	no	—
871	C₂×D₄	—	26	2	no	—
872	C₂×D₄	—	26	2	no	—
873	C₂×D₄	—	26	2	no	—
874	C₂×D₄	—	52	2	no	—
875	C₂×D₄	—	52	2	no	—
876	C₂×D₄	—	104	4	no	—
877	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
878	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
879	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
880	C₂²×C₄	—	26	2	no	—
881	C₂²×C₄	—	26	2	no	—
882	C₂²×C₄	—	26	2	no	—
883	C₂²×C₄	—	26	2	no	—
884	C₂²×C₄	—	26	2	no	—
885	C₂²×C₄	—	26	2	no	—
886	C₂²×C₄	—	26	2	no	—
887	C₂²×C₄	—	26	2	no	—
888	C₂²×C₄	—	26	2	no	—
889	C₂²×C₄	—	26	2	no	—
890	C₂²×C₄	—	26	2	no	—
891	C₂²×C₄	—	104	4	no	—
892	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
893	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
894	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
895	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
896	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
897	Q₁₆	—	26	2	no	—
898	SD₁₆	—	26	4	no	—
899	SD₁₆	—	52	2	no	—
900	SD₁₆	—	52	2	no	—
901	D₈	—	13	4	no	—
902	D₈	—	26	4	no	—
903	D₈	—	26	4	no	—
904	D₈	—	26	2	no	—
905	D₈	—	26	2	no	—
906	D₈	—	52	2	no	—
907	M₁₆	—	4	1	no	—
908	M₁₆	—	4	1	no	—
909	C₂×C₈	—	2	2	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	2	no	—
912	C₂×C₈	—	4	1	no	—
913	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
914	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
915	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
916	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
917	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
918	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
919	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
920	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
921	C₄⋊C₄	—	13	2	no	—
922	C₄⋊C₄	—	13	2	no	—
923	C₄⋊C₄	—	13	2	no	—
924	C₄⋊C₄	—	13	2	no	—
925	C₄⋊C₄	—	26	2	no	—
926	C₄⋊C₄	—	26	2	no	—
927	C₄⋊C₄	—	26	2	no	—
928	C₄⋊C₄	—	26	2	no	—
929	C₄⋊C₄	—	26	2	no	—
930	C₄⋊C₄	—	26	2	no	—
931	C₄⋊C₄	—	26	2	no	—
932	C₄⋊C₄	—	26	2	no	—
933	C₄⋊C₄	—	26	2	no	—
934	C₄⋊C₄	—	26	2	no	—
935	C₄⋊C₄	—	26	2	no	—
936	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
937	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
938	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
939	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
940	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
943	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
944	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
945	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
946	C₂²⋊C₄	—	26	2	no	—
947	C₂²⋊C₄	—	26	2	no	—
948	C₂²⋊C₄	—	26	2	no	—
949	C₂²⋊C₄	—	26	2	no	—
950	C₂²⋊C₄	—	26	2	no	—
951	C₂²⋊C₄	—	26	2	no	—
952	C₂²⋊C₄	—	26	2	no	—
953	C₂²⋊C₄	—	26	2	no	—
954	C₂²⋊C₄	—	26	2	no	—
955	C₂²⋊C₄	—	26	2	no	—
956	C₂²⋊C₄	—	26	2	no	—
957	C₂²⋊C₄	—	26	2	no	—
958	C₂²⋊C₄	—	26	2	no	—
959	C₂²⋊C₄	—	26	2	no	—
960	C₂²⋊C₄	—	26	2	no	—
961	C₂²⋊C₄	—	26	2	no	—
962	C₂²⋊C₄	—	26	2	no	—
963	C₂²⋊C₄	—	26	2	no	—
964	C₂²⋊C₄	—	26	2	no	—
965	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
966	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
967	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
968	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
969	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
970	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
971	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
972	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
973	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
974	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
975	C₄²	—	26	2	no	—
976	C₄²	—	26	2	no	—
977	C₄²	—	26	2	no	—
978	C₄²	C₂×D₅₂	1	1	yes	characteristic
979	C₄²	C₂×D₅₂	1	1	yes	characteristic
980	C₄²	C₂³×D₁₃	1	1	yes	characteristic
981	C₄²	C₂³×D₁₃	1	1	yes	characteristic
982	C₄²	C₂³×D₁₃	1	1	yes	characteristic
983	C₄²	C₂³×D₁₃	1	1	yes	characteristic
984	C₁₃	#61471	1	1	yes	characteristic, complemented, Sylow
985	C₂³	—	26	2	no	—
986	C₂³	—	26	2	no	—
987	C₂³	—	26	2	no	—
988	C₂³	—	52	4	no	—
989	C₂³	—	52	4	no	—
990	C₂³	—	52	4	no	—
991	C₂³	—	104	2	no	—
992	C₂³	—	104	2	no	—
993	C₂³	—	104	2	no	—
994	C₂³	C₂²×D₅₂	1	1	yes	characteristic
995	C₂³	C₂²×D₅₂	1	1	yes	characteristic
996	C₂³	C₂²×D₅₂	1	1	yes	characteristic
997	Q₈	—	4	1	no	—
998	Q₈	—	26	2	no	—
999	Q₈	—	26	2	no	—
1000	Q₈	—	104	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	2	no	—
1003	D₄	—	4	1	no	—
1004	D₄	—	13	4	no	—
1005	D₄	—	26	2	no	—
1006	D₄	—	26	2	no	—
1007	D₄	—	26	2	no	—
1008	D₄	—	26	2	no	—
1009	D₄	—	26	2	no	—
1010	D₄	—	52	4	no	—
1011	D₄	—	52	4	no	—
1012	D₄	—	52	4	no	—
1013	D₄	—	52	4	no	—
1014	D₄	—	104	2	no	—
1015	D₄	—	104	2	no	—
1016	D₄	—	104	2	no	—
1017	D₄	—	104	2	no	—
1018	D₄	—	104	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	4	1	no	—
1027	C₂×C₄	—	26	2	no	—
1028	C₂×C₄	—	26	2	no	—
1029	C₂×C₄	—	26	2	no	—
1030	C₂×C₄	—	26	2	no	—
1031	C₂×C₄	—	26	2	no	—
1032	C₂×C₄	—	52	4	no	—
1033	C₂×C₄	—	52	4	no	—
1034	C₂×C₄	—	104	2	no	—
1035	C₂×C₄	—	104	2	no	—
1036	C₂×C₄	—	104	2	no	—
1037	C₂×C₄	—	104	2	no	—
1038	C₂×C₄	—	104	2	no	—
1039	C₂×C₄	—	104	2	no	—
1040	C₂×C₄	—	104	2	no	—
1041	C₂×C₄	—	104	2	no	—
1042	C₂×C₄	—	104	2	no	—
1043	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1044	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1046	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1051	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1054	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1055	C₈	—	2	1	no	—
1056	C₈	—	2	1	no	—
1057	C₈	—	2	1	no	—
1058	C₈	—	2	1	no	—
1059	C₈	—	2	1	no	—
1060	C₈	—	2	1	no	—
1061	C₈	—	2	1	no	—
1062	C₈	#41×D₁₃	1	2	yes	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	2	1	no	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	26	4	no	—
1072	C₂²	—	52	2	no	—
1073	C₂²	—	52	2	no	—
1074	C₂²	—	52	2	no	—
1075	C₂²	—	52	2	no	—
1076	C₂²	—	52	2	no	—
1077	C₂²	—	52	2	no	—
1078	C₂²	—	52	2	no	—
1079	C₂²	—	52	2	no	—
1080	C₂²	—	104	8	no	—
1081	C₂²	—	208	4	no	—
1082	C₂²	#11719457	1	2	yes	—
1083	C₂²	C₂³×D₅₂	1	1	yes	characteristic
1084	C₄	—	2	1	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	1	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	52	2	no	—
1096	C₄	—	52	2	no	—
1097	C₄	—	52	2	no	—
1098	C₄	—	52	2	no	—
1099	C₄	—	52	2	no	—
1100	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1101	C₄	#11719648	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	4	1	no	—
1104	C₂	—	4	1	no	—
1105	C₂	—	52	4	no	—
1106	C₂	—	104	2	no	—
1107	C₂	—	104	2	no	—
1108	C₂	#41×D₅₂	1	1	yes	characteristic
1109	C₂	C₂×#11719457	1	1	yes	characteristic
1110	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	#61471
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. #13128780	C₂	semidirect
2. #13127849	C₂	semidirect
3. #13127704	C₂	semidirect
4. #13127591	C₂	semidirect
5. #13127239	C₂	semidirect
6. #13127205	C₂	semidirect
7. #13127184	C₂	semidirect
8. #13127039	C₂	semidirect
9. #13126859	C₂	semidirect
10. #13126799	C₂	semidirect
11. #13126523	C₂	semidirect
12. #13126523	C₂	semidirect
13. D₄×D₁₀₄	C₂	semidirect
14. #13125486	C₂	semidirect
15. #13125475	C₂	semidirect
16. #13125406	C₂	semidirect
17. #13125037	C₂	semidirect
18. #13125022	C₂	semidirect
19. #13124976	C₂	semidirect
20. #13123713	C₂	semidirect
21. #13123689	C₂	semidirect
22. C₂×C₄×D₁₀₄	C₂	semidirect
23. C₁₃×#2966	C₂	semidirect
36. #11719290	C₂²	semidirect
37. #11719284	C₂²	semidirect
38. #11719270	C₂²	semidirect
39. #11719260	C₂²	semidirect
40. #11719255	C₂²	semidirect
41. #11719255	C₂²	semidirect
44. #11719240	C₂²	semidirect
45. #11719239	C₂²	semidirect
46. #11719228	C₂²	semidirect
47. #11719226	C₂²	semidirect
48. #11719184	C₂²	semidirect
49. C₂×C₄×D₅₂	C₂²	semidirect
50. C₁₃×#446	C₂²	semidirect
51. C₈×Q₈×C₁₃	C₂²	semidirect
52. C₁₃×#436	C₂²	semidirect
54. C₁₃×#435	C₂²	semidirect
56. C₈×D₄×C₁₃	C₂²	semidirect
57. C₈×D₄×C₁₃	C₂²	semidirect
58. C₁₃×#433	C₂²	semidirect
59. C₁₃×#433	C₂²	semidirect
60. C₁₃×#432	C₂²	semidirect
61. C₁₃×#405	C₂²	semidirect
62. C₁₃×#405	C₂²	semidirect
63. C₂×C₄×C₈×C₁₃	C₂²	semidirect
64. #11718796	C₂²	semidirect
65. #11718795	C₂²	semidirect
66. #11718794	C₂²	semidirect
67. #11718792	C₂²	semidirect
68. #11718777	C₂²	semidirect
69. #11718777	C₂²	semidirect
72. #11718776	C₂²	semidirect
73. #11718776	C₂²	semidirect
74. #11718775	C₂²	semidirect
75. C₂×#88061	C₂²	semidirect
76. #11718767	C₂²	semidirect
77. C₂×#88058	C₂²	semidirect
78. C₂×#88058	C₂²	semidirect
79. #11718509	C₂²	semidirect
80. #11718508	C₂²	semidirect
81. #11718508	C₂²	semidirect
82. #11718508	C₂²	semidirect
83. #11718507	C₂²	semidirect
84. #11718505	C₂²	semidirect
85. #11718505	C₂²	semidirect
86. #11718505	C₂²	semidirect
87. #11718505	C₂²	semidirect
89. #11718503	C₂²	semidirect
90. #11718490	C₂²	semidirect
91. #11718398	C₂²	semidirect
92. #11718397	C₂²	semidirect
93. #11718397	C₂²	semidirect
94. #11718396	C₂²	semidirect
95. #11718395	C₂²	semidirect
96. #11718395	C₂²	semidirect
99. #11718392	C₂²	semidirect
100. #11718392	C₂²	semidirect
101. #11718384	C₂²	semidirect
102. #11718382	C₂²	semidirect
103. #11718375	C₂²	semidirect
104. #11718374	C₂²	semidirect
105. #11718372	C₂²	semidirect
106. #11718372	C₂²	semidirect
107. #11718372	C₂²	semidirect
108. #11718371	C₂²	semidirect
109. #11718371	C₂²	semidirect
110. #11718371	C₂²	semidirect
111. C₄×Dic₅₂	C₂²	semidirect
112. C₄×Dic₅₂	C₂²	semidirect
113. #11718358	C₂²	semidirect
114. #11718357	C₂²	semidirect
115. #11718357	C₂²	semidirect
121. C₄×D₁₀₄	C₂²	semidirect
122. C₄×D₁₀₄	C₂²	semidirect
123. C₄×D₁₀₄	C₂²	semidirect
124. C₄×D₁₀₄	C₂²	semidirect
125. C₄×D₁₀₄	C₂²	semidirect
126. C₄×D₁₀₄	C₂²	semidirect
127. C₄×#6095	C₂²	semidirect
128. #11718344	C₂²	semidirect
129. #11718344	C₂²	semidirect
130. #11718343	C₂²	semidirect
426. D₁₀₄	#41	semidirect
449. #2966	D₁₃	semidirect
599. #446	C₂×D₁₃	semidirect
600. C₈×Q₈	C₂×D₁₃	semidirect
620. #436	C₂×D₁₃	semidirect
622. #435	C₂×D₁₃	semidirect
624. C₈×D₄	C₂×D₁₃	semidirect
625. C₈×D₄	C₂×D₁₃	semidirect
626. #433	C₂×D₁₃	semidirect
627. #433	C₂×D₁₃	semidirect
628. #432	C₂×D₁₃	semidirect
635. #405	C₂×D₁₃	semidirect
636. #405	C₂×D₁₃	semidirect
637. C₂×C₄×C₈	C₂×D₁₃	semidirect
984. C₁₃	#61471	semidirect

Maximal subgroups

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

subgroup	index
#13128780	2
#13127849	2
#13127704	2
#13127591	2
#13127239	2
#13127205	2
#13127184	2
#13127039	2
#13126859	2
#13126799	2
#13126523	2
D₄×D₁₀₄	2
#13125486	2
#13125475	2
#13125406	2
#13125037	2
#13125022	2
#13124976	2
#13123713	2
#13123689	2
C₂×C₄×D₁₀₄	2
C₁₃×#2966	2
#61471	13