Subgroups — #16743551

Order 3328.

1818 conjugacy classes of subgroups.

The subgroup lattice has 1038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128635	C₂	1	2	yes	maximal, complemented
2	#13127794	C₂	1	2	yes	maximal, complemented
3	#13127790	C₂	1	2	yes	maximal, complemented
4	#13127738	C₂	1	2	yes	maximal, complemented
5	#13127730	C₂	1	2	yes	maximal, complemented
6	#13127704	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127703	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127703	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127700	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127700	C₂	1	1	yes	maximal, characteristic, complemented
11	D₈×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127688	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125373	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125369	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125349	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124666	C₂	1	2	yes	maximal, complemented
17	#13124662	C₂	1	2	yes	maximal, complemented
18	#13124631	C₂	1	2	yes	maximal, complemented
19	#13123765	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123683	C₂	1	1	yes	maximal, characteristic
21	#13123683	C₂	1	1	yes	maximal, characteristic
22	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic
23	C₁₃×#3380	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#554	C₂²	1	2	yes	complemented
25	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
26	#11719434	C₂²	1	2	yes	—
27	#11719432	C₂²	1	2	yes	complemented
28	#11719395	C₂²	1	2	yes	complemented
29	#11719395	C₂²	1	2	yes	complemented
30	#11719394	C₂²	1	2	yes	—
31	#11719393	C₂²	1	2	yes	—
32	#11719341	—	2	2	no	—
33	#11719341	—	2	2	no	—
34	#11719339	—	2	2	no	—
35	#11719339	—	2	2	no	—
36	#11719337	—	2	2	no	—
37	D₁₃×C₂²⋊Q₈	—	2	2	no	—
38	#11719284	C₂²	1	2	yes	complemented
39	#11719283	C₂²	1	1	yes	characteristic
40	#11719250	C₂²	1	2	yes	—
41	#11719250	C₂²	1	2	yes	—
42	C₄×D₄×D₁₃	C₂²	1	2	yes	—
43	#11719244	C₂²	1	2	yes	complemented
44	#11719244	C₂²	1	2	yes	complemented
45	D₄×Dic₂₆	C₂²	1	2	yes	complemented
46	#11719216	—	2	2	no	—
47	C₂×#88150	—	2	2	no	—
48	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#478	C₂²	1	2	yes	complemented
52	C₁₃×#478	C₂²	1	2	yes	complemented
53	C₁₃×#476	C₂²	1	2	yes	complemented
54	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
58	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
59	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
60	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
61	#11718748	C₂²	1	2	yes	complemented
62	#11718741	C₂²	1	2	yes	complemented
63	#11718727	C₂²	1	2	yes	complemented
64	#11718727	C₂²	1	2	yes	complemented
65	#11718726	C₂²	1	2	yes	complemented
66	#11718725	C₂²	1	2	yes	complemented
67	#11718685	C₂²	1	1	yes	characteristic, complemented
68	#11718675	C₂²	1	2	yes	—
69	#11718675	C₂²	1	2	yes	—
70	C₄×#6104	C₂²	1	2	yes	—
71	#11718670	C₂²	1	2	yes	complemented
72	#11718670	C₂²	1	2	yes	complemented
73	#11718668	C₂²	1	2	yes	complemented
74	#11718551	C₂²	1	2	yes	complemented
75	#11718551	C₂²	1	2	yes	complemented
76	#11718542	C₂²	1	2	yes	—
77	#11718541	C₂²	1	1	yes	characteristic
78	#11718541	C₂²	1	1	yes	characteristic
79	D₁₃×#107	C₂²	1	1	yes	characteristic
80	#11718539	C₂²	1	1	yes	characteristic, complemented
81	#11718539	C₂²	1	1	yes	characteristic, complemented
82	#11718537	C₂²	1	2	yes	complemented
83	#11718535	C₂²	1	1	yes	characteristic, complemented
84	#11718535	C₂²	1	1	yes	characteristic, complemented
85	#11718535	C₂²	1	1	yes	characteristic, complemented
86	#11718535	C₂²	1	1	yes	characteristic, complemented
87	#11718533	C₂²	1	1	yes	characteristic
88	#11718533	C₂²	1	1	yes	characteristic
89	#11718533	C₂²	1	1	yes	characteristic
90	#11718532	C₂²	1	2	yes	complemented
91	#11718532	C₂²	1	2	yes	complemented
92	#11718531	C₂²	1	2	yes	complemented
93	#11718531	C₂²	1	2	yes	complemented
94	#11718522	C₂²	1	2	yes	—
95	#11718521	C₂²	1	2	yes	—
96	#11718517	C₂²	1	2	yes	complemented
97	#11718516	C₂²	1	2	yes	complemented
98	#11718508	C₂²	1	2	yes	complemented
99	#11718508	C₂²	1	2	yes	complemented
100	#11718503	C₂²	1	2	yes	complemented
101	#11718500	C₂²	1	1	yes	characteristic
102	#11718500	C₂²	1	1	yes	characteristic
103	#11718498	C₂²	1	1	yes	characteristic
104	#11718492	C₂²	1	1	yes	characteristic, complemented
105	#11718489	C₂²	1	1	yes	characteristic, complemented
106	#11718489	C₂²	1	1	yes	characteristic, complemented
107	#11718446	C₂²	1	2	yes	—
108	#11718446	C₂²	1	2	yes	—
109	#11718431	C₂²	1	2	yes	—
110	#11718431	C₂²	1	2	yes	—
111	D₁₃×#102	C₂²	1	2	yes	—
112	#11718424	C₂²	1	2	yes	complemented
113	#11718424	C₂²	1	2	yes	complemented
114	#11718422	C₂²	1	2	yes	complemented
115	#11718422	C₂²	1	2	yes	complemented
116	#11718420	C₂²	1	2	yes	complemented
117	#11718420	C₂²	1	2	yes	complemented
118	#11718417	C₂²	1	2	yes	—
119	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
120	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
121	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
122	#11718350	C₂²	1	1	yes	characteristic
123	#11718350	C₂²	1	1	yes	characteristic
124	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
125	#11718344	C₂²	1	1	yes	characteristic, complemented
126	#11718344	C₂²	1	1	yes	characteristic, complemented
127	#11718343	C₂²	1	1	yes	characteristic, complemented
128	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
129	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
130	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
131	C₂×Q₈×D₁₃	—	2	2	no	—
132	C₂×D₄×D₁₃	C₂³	1	2	yes	—
133	C₂²×C₄×D₁₃	—	2	2	no	—
134	C₂²×Dic₂₆	—	2	2	no	—
135	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
136	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
137	C₁₃×#125	C₂³	1	2	yes	—
138	C₁₃×#125	C₂³	1	2	yes	—
139	C₁₃×C₂²⋊Q₈	—	2	2	no	—
140	C₁₃×C₂²⋊Q₈	—	2	2	no	—
141	C₁₃×C₂²⋊Q₈	—	2	2	no	—
142	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₄×D₄×C₁₃	C₂³	1	2	yes	—
144	C₄×D₄×C₁₃	C₂³	1	2	yes	—
145	C₄×D₄×C₁₃	C₂³	1	2	yes	—
146	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
147	#88200	—	2	2	no	—
148	#88200	—	2	2	no	—
149	#88200	—	2	2	no	—
150	#88200	D₄	1	1	yes	characteristic
151	#88198	—	2	2	no	—
152	#88198	D₄	1	1	yes	characteristic
153	D₄×Dic₁₃	C₂³	1	2	yes	—
154	D₄×Dic₁₃	C₂³	1	2	yes	—
155	D₄×Dic₁₃	C₂³	1	2	yes	—
156	C₂×#6104	C₂³	1	2	yes	—
157	C₄×C₂²⋊D₁₃	—	2	2	no	—
158	C₄×C₂²⋊D₁₃	—	2	2	no	—
159	C₄×C₂²⋊D₁₃	—	2	2	no	—
160	C₂×#6103	—	2	2	no	—
161	C₂×#6103	—	2	2	no	—
162	#88178	—	2	2	no	—
163	#88178	—	2	2	no	—
164	#88178	—	2	2	no	—
165	C₂×#6101	—	2	2	no	—
166	C₂×#6101	—	2	2	no	—
167	D₈×D₁₃	Q₈	1	8	yes	complemented
168	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
169	C₂×#6094	C₂³	1	1	yes	characteristic
170	C₂×#6094	C₂³	1	1	yes	characteristic
171	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
172	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
173	#88151	—	2	2	no	—
174	#88151	—	2	2	no	—
175	#88151	—	2	2	no	—
176	#88151	D₄	1	1	yes	characteristic
177	#88150	—	2	2	no	—
178	#88150	—	2	2	no	—
179	#88150	—	2	2	no	—
180	#88150	—	2	2	no	—
181	#88150	—	2	2	no	—
182	#88150	—	2	2	no	—
183	#88150	—	2	2	no	—
184	#88150	—	2	2	no	—
185	#88150	—	2	2	no	—
186	#88150	—	2	2	no	—
187	#88150	—	2	2	no	—
188	#88150	—	2	2	no	—
189	#88150	D₄	1	1	yes	characteristic
190	#88150	D₄	1	1	yes	characteristic
191	#88147	C₂³	1	2	yes	—
192	#88147	C₂³	1	2	yes	—
193	#88147	C₂³	1	2	yes	—
194	#88146	C₂³	1	2	yes	—
195	#88146	C₂³	1	2	yes	—
196	C₄⋊C₄×D₁₃	—	2	2	no	—
197	C₄⋊C₄×D₁₃	—	2	2	no	—
198	C₄⋊C₄×D₁₃	—	2	2	no	—
199	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
200	#88144	C₂³	1	2	yes	—
201	#88144	C₂³	1	2	yes	—
202	#88143	—	2	2	no	—
203	#88143	—	2	2	no	—
204	#88143	D₄	1	1	yes	characteristic
205	#88143	D₄	1	1	yes	characteristic
206	#88142	—	2	2	no	—
207	#88142	D₄	1	1	yes	characteristic
208	#88142	C₂³	1	2	yes	—
209	#88142	C₂³	1	2	yes	—
210	#88142	C₂³	1	2	yes	—
211	#88142	C₂³	1	2	yes	—
212	#88141	—	2	2	no	—
213	#88141	—	2	2	no	—
214	#88135	—	2	2	no	—
215	#88135	—	2	2	no	—
216	#88135	—	2	2	no	—
217	C₂²⋊C₄×D₁₃	—	2	2	no	—
218	C₂²⋊C₄×D₁₃	—	2	2	no	—
219	C₂²⋊C₄×D₁₃	—	2	2	no	—
220	#88132	—	2	2	no	—
221	#88132	—	2	2	no	—
222	#88132	—	2	2	no	—
223	#88132	—	2	2	no	—
224	#88132	—	2	2	no	—
225	#88132	—	2	2	no	—
226	C₄×D₅₂	C₂³	1	2	yes	—
227	C₄×D₅₂	C₂³	1	2	yes	—
228	C₄×D₅₂	C₂³	1	2	yes	—
229	#88126	C₂³	1	1	yes	characteristic
230	#88126	C₂³	1	1	yes	characteristic
231	C₄²×D₁₃	C₂³	1	1	yes	characteristic
232	#88124	C₂³	1	2	yes	—
233	#88124	C₂³	1	2	yes	—
234	#88123	C₂³	1	2	yes	—
235	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
236	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
237	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
238	C₁₃×#107	C₂³	1	1	yes	characteristic
239	C₁₃×#107	C₂³	1	1	yes	characteristic
240	C₁₃×#107	C₂³	1	1	yes	characteristic
241	C₁₃×#107	C₂³	1	2	yes	—
242	C₁₃×#106	C₂³	1	2	yes	—
243	C₁₃×#106	C₂³	1	2	yes	—
244	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₁₃×#102	C₂³	1	2	yes	—
248	C₁₃×#102	C₂³	1	2	yes	—
249	C₁₃×#102	C₂³	1	2	yes	—
250	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
253	#88072	C₂³	1	2	yes	—
254	#88072	C₂³	1	2	yes	—
255	#88072	C₂³	1	2	yes	—
256	#88061	C₂³	1	2	yes	—
257	#88061	C₂³	1	2	yes	—
258	#88061	C₂³	1	2	yes	—
259	#88058	C₂³	1	2	yes	—
260	#88058	C₂³	1	1	yes	characteristic
261	#88058	C₂³	1	1	yes	characteristic
262	#88058	C₂³	1	1	yes	characteristic
263	#88057	C₂³	1	2	yes	—
264	#88057	C₂³	1	2	yes	—
265	#88055	C₂³	1	1	yes	characteristic
266	#88055	C₂³	1	1	yes	characteristic
267	#88054	C₂³	1	1	yes	characteristic
268	#88054	C₂³	1	1	yes	characteristic
269	#88054	C₂³	1	1	yes	characteristic
270	#88054	C₂³	1	1	yes	characteristic
271	#88054	C₂³	1	1	yes	characteristic
272	#88054	C₂³	1	1	yes	characteristic
273	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	#88049	C₂³	1	2	yes	—
278	#88049	C₂³	1	2	yes	—
279	#88049	C₂³	1	2	yes	—
280	#88048	C₂³	1	2	yes	—
281	#88048	C₂³	1	2	yes	—
282	#88048	C₂³	1	2	yes	—
283	#88048	C₂³	1	2	yes	—
284	#88047	C₂³	1	2	yes	—
285	#88047	C₂³	1	2	yes	—
286	#88047	C₂³	1	2	yes	—
287	#88047	C₂³	1	2	yes	—
288	#88047	C₂³	1	2	yes	—
289	C₄⋊#1055	C₂³	1	1	yes	characteristic
290	C₄⋊#1055	C₂³	1	1	yes	characteristic
291	C₄⋊#1055	C₂³	1	1	yes	characteristic
292	#88043	C₂³	1	1	yes	characteristic
293	#88043	C₂³	1	1	yes	characteristic
294	C₄×#1055	C₂³	1	1	yes	characteristic
295	#61370	—	13	1	no	maximal, Sylow
296	C₂³×D₁₃	—	2	2	no	—
297	C₂×Q₈×C₁₃	—	2	2	no	—
298	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
299	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃	—	2	2	no	—
301	C₂²×C₄×C₁₃	—	2	2	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂×C₂²⋊D₁₃	—	2	2	no	—
304	C₂²×Dic₁₃	—	2	2	no	—
305	C₂²×Dic₁₃	—	2	2	no	—
306	C₂²×Dic₁₃	—	2	2	no	—
307	Q₈×D₁₃	—	8	4	no	—
308	D₄×D₁₃	—	2	4	no	—
309	D₄×D₁₃	C₂×Q₈	1	8	yes	complemented
310	C₂×D₅₂	C₂⁴	1	2	yes	—
311	C₂×C₄×D₁₃	—	2	2	no	—
312	C₂×C₄×D₁₃	—	2	2	no	—
313	C₂×C₄×D₁₃	—	2	2	no	—
314	C₂×C₄×D₁₃	—	2	2	no	—
315	C₂×C₄×D₁₃	—	2	2	no	—
316	C₂×C₄×D₁₃	—	2	2	no	—
317	C₂×C₄×D₁₃	—	2	2	no	—
318	C₂×C₄×D₁₃	—	8	4	no	—
319	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
320	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
321	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
322	C₂×Dic₂₆	—	2	2	no	—
323	C₂×Dic₂₆	—	2	2	no	—
324	C₂×Dic₂₆	—	2	2	no	—
325	C₂×Dic₂₆	—	2	2	no	—
326	C₂×Dic₂₆	—	2	2	no	—
327	C₂×Dic₂₆	—	8	4	no	—
328	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
329	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
330	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
331	C₁₃×D₈	C₂×Q₈	1	4	yes	complemented
332	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₁₃×C₄⋊C₄	—	2	2	no	—
337	C₁₃×C₄⋊C₄	—	2	2	no	—
338	C₁₃×C₄⋊C₄	—	2	2	no	—
339	C₁₃×C₄⋊C₄	—	2	2	no	—
340	C₁₃×C₄⋊C₄	—	2	2	no	—
341	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
342	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
343	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
344	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
345	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
346	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
347	C₁₃×C₂²⋊C₄	—	2	2	no	—
348	C₁₃×C₂²⋊C₄	—	2	2	no	—
349	C₁₃×C₂²⋊C₄	—	2	2	no	—
350	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²⋊Dic₁₃	—	2	2	no	—
354	C₂²⋊Dic₁₃	—	2	2	no	—
355	C₂²⋊Dic₁₃	—	2	2	no	—
356	#6104	C₂×Q₈	1	8	yes	complemented
357	#6103	—	2	2	no	—
358	#6103	—	2	2	no	—
359	#6103	—	2	2	no	—
360	#6103	—	2	2	no	—
361	#6103	—	2	2	no	—
362	#6103	—	2	2	no	—
363	#6103	—	2	2	no	—
364	#6103	—	2	2	no	—
365	#6103	C₂×D₄	1	1	yes	characteristic
366	#6103	C₂×D₄	1	1	yes	characteristic
367	#6103	C₂×D₄	1	1	yes	characteristic
368	#6103	C₂×D₄	1	1	yes	characteristic
369	C₄⋊Dic₁₃	—	2	2	no	—
370	C₄⋊Dic₁₃	—	2	2	no	—
371	C₄⋊Dic₁₃	—	2	2	no	—
372	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
373	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
374	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
375	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
376	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
377	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
378	#6101	—	2	2	no	—
379	#6101	—	2	2	no	—
380	#6101	—	2	2	no	—
381	#6101	—	2	2	no	—
382	#6101	—	2	2	no	—
383	#6101	—	2	2	no	—
384	#6101	—	2	2	no	—
385	#6101	—	2	2	no	—
386	#6101	—	2	2	no	—
387	#6101	—	2	2	no	—
388	#6101	—	2	2	no	—
389	#6101	C₂×D₄	1	1	yes	characteristic
390	#6101	C₂×D₄	1	1	yes	characteristic
391	#6101	C₂×D₄	1	1	yes	characteristic
392	#6101	C₂×D₄	1	1	yes	characteristic
393	#6101	C₂×D₄	1	1	yes	characteristic
394	#6101	C₂×D₄	1	1	yes	characteristic
395	#6101	C₂×D₄	1	1	yes	characteristic
396	#6101	C₂×D₄	1	1	yes	characteristic
397	#6101	C₂×D₄	1	1	yes	characteristic
398	#6101	C₂×D₄	1	1	yes	characteristic
399	C₄×Dic₁₃	—	2	2	no	—
400	C₄×Dic₁₃	—	2	2	no	—
401	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
402	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
403	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂×#1055	C₂⁴	1	1	yes	characteristic
407	C₂×#1055	C₂⁴	1	1	yes	characteristic
408	C₂×#1055	C₂⁴	1	1	yes	characteristic
409	C₂×#1055	C₂⁴	1	1	yes	characteristic
410	D₁₀₄	C₂×Q₈	1	4	yes	complemented
411	#6094	—	2	2	no	—
412	#6094	—	2	2	no	—
413	C₈×D₁₃	—	2	2	no	—
414	C₈×D₁₃	C₂×Q₈	1	4	yes	complemented
415	#3501	—	13	2	no	—
416	#3389	—	13	2	no	—
417	#3389	—	13	2	no	—
418	#3384	—	13	2	no	—
419	#3384	—	13	2	no	—
420	#3380	—	13	1	no	—
421	#3380	—	13	1	no	—
422	#3380	—	13	1	no	—
423	#3380	—	13	1	no	—
424	#3380	—	13	1	no	—
425	#3380	D₁₃	1	1	yes	characteristic, complemented
426	Q₈×D₈	—	13	1	no	—
427	Q₈×D₈	—	13	1	no	—
428	#3164	—	13	1	no	—
429	#3164	—	13	1	no	—
430	#3160	—	13	1	no	—
431	#3081	—	13	2	no	—
432	#3081	—	13	2	no	—
433	#3077	—	13	2	no	—
434	#2960	—	13	1	no	—
435	#2948	—	13	1	no	—
436	#2948	—	13	1	no	—
437	C₂×C₄×D₈	—	13	1	no	—
438	C₂³×C₁₃	—	2	2	no	—
439	C₂²×D₁₃	—	2	2	no	—
440	C₂²×D₁₃	—	2	8	no	—
441	C₂²×D₁₃	—	8	2	no	—
442	C₂²×D₁₃	—	8	2	no	—
443	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
444	Q₈×C₁₃	—	4	1	no	—
445	Q₈×C₁₃	—	8	2	no	—
446	D₄×C₁₃	—	2	2	no	—
447	D₄×C₁₃	C₂²×Q₈	1	4	yes	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	2	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	8	2	no	—
452	C₂×C₄×C₁₃	—	8	2	no	—
453	C₂×C₄×C₁₃	—	8	2	no	—
454	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
455	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
456	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
457	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
458	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
459	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
460	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
461	C₂²⋊D₁₃	—	2	8	no	—
462	C₂×Dic₁₃	—	2	2	no	—
463	C₂×Dic₁₃	—	2	2	no	—
464	C₂×Dic₁₃	—	2	2	no	—
465	C₂×Dic₁₃	—	4	4	no	—
466	C₂×Dic₁₃	—	8	2	no	—
467	C₂×Dic₁₃	—	8	2	no	—
468	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
475	D₅₂	—	2	2	no	—
476	D₅₂	C₂²×Q₈	1	4	yes	—
477	C₄×D₁₃	—	2	2	no	—
478	C₄×D₁₃	—	4	1	no	—
479	C₄×D₁₃	—	4	4	no	—
480	C₄×D₁₃	—	8	2	no	—
481	C₄×D₁₃	—	8	2	no	—
482	C₄×D₁₃	—	8	2	no	—
483	C₄×D₁₃	—	8	2	no	—
484	C₄×D₁₃	—	8	2	no	—
485	C₄×D₁₃	—	8	2	no	—
486	C₄×D₁₃	C₂²×Q₈	1	2	yes	—
487	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
488	Dic₂₆	—	2	2	no	—
489	Dic₂₆	—	2	2	no	—
490	Dic₂₆	—	4	1	no	—
491	Dic₂₆	—	4	4	no	—
492	Dic₂₆	—	8	2	no	—
493	Dic₂₆	—	8	2	no	—
494	Dic₂₆	—	8	2	no	—
495	Dic₂₆	—	8	2	no	—
496	C₈×C₁₃	—	2	1	no	—
497	C₈×C₁₃	—	2	1	no	—
498	C₈×C₁₃	—	2	1	no	—
499	C₈×C₁₃	C₂²×Q₈	1	2	yes	—
500	#1055	—	2	1	no	—
501	#1055	—	2	1	no	—
502	#1055	—	2	1	no	—
503	#1055	C₂²×Q₈	1	2	yes	—
504	C₂²×D₈	—	13	1	no	—
505	#554	—	13	2	no	—
506	#554	—	13	2	no	—
507	#554	—	13	2	no	—
508	#554	—	13	2	no	—
509	#554	—	13	2	no	—
510	#554	—	26	2	no	—
511	#554	—	26	2	no	—
512	#554	—	26	2	no	—
513	#554	C₂×D₁₃	1	2	yes	complemented
514	D₄×Q₈	—	13	2	no	—
515	D₄×Q₈	—	13	2	no	—
516	D₄×Q₈	—	26	2	no	—
517	#544	—	13	2	no	—
518	#544	—	13	2	no	—
519	#543	—	26	2	no	—
520	#543	—	26	2	no	—
521	#533	—	13	1	no	—
522	#533	—	13	2	no	—
523	C₂×C₂²⋊Q₈	—	26	2	no	—
524	C₂×C₂²⋊Q₈	—	26	2	no	—
525	#518	—	13	2	no	—
526	#518	—	13	2	no	—
527	C₂×C₄×D₄	—	13	2	no	—
528	#501	—	13	2	no	—
529	#501	—	13	2	no	—
530	#501	—	13	2	no	—
531	#501	—	13	2	no	—
532	#500	—	13	1	no	—
533	#500	—	13	1	no	—
534	#500	—	13	1	no	—
535	#500	—	13	1	no	—
536	#500	—	13	1	no	—
537	#500	C₂×D₁₃	1	1	yes	characteristic, complemented
538	#499	—	13	2	no	—
539	#499	—	13	1	no	—
540	#499	—	13	1	no	—
541	#499	—	13	1	no	—
542	#499	—	13	1	no	—
543	#499	C₂×D₁₃	1	1	yes	characteristic, complemented
544	#499	C₂×D₁₃	1	1	yes	characteristic, complemented
545	#498	—	13	2	no	—
546	#478	—	13	2	no	—
547	#478	—	13	2	no	—
548	#478	—	13	2	no	—
549	#478	—	13	2	no	—
550	#478	—	13	2	no	—
551	#478	—	13	2	no	—
552	#478	—	13	2	no	—
553	#478	—	13	2	no	—
554	#478	—	13	2	no	—
555	#478	—	13	2	no	—
556	#478	C₂×D₁₃	1	2	yes	complemented
557	#478	C₂×D₁₃	1	2	yes	complemented
558	#476	—	13	2	no	—
559	#476	—	13	2	no	—
560	#476	—	13	2	no	—
561	#476	—	13	2	no	—
562	#476	—	13	2	no	—
563	#476	C₂×D₁₃	1	2	yes	complemented
564	#474	—	13	2	no	—
565	#474	—	13	2	no	—
566	#474	—	13	2	no	—
567	#474	—	13	2	no	—
568	#474	—	13	2	no	—
569	#474	—	13	2	no	—
570	#446	—	13	1	no	—
571	#446	—	13	1	no	—
572	#446	—	13	1	no	—
573	#446	—	13	1	no	—
574	C₈×Q₈	—	13	1	no	—
575	C₈×Q₈	—	13	1	no	—
576	C₈×Q₈	—	13	1	no	—
577	C₈×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
578	#442	—	13	2	no	—
579	#442	—	13	2	no	—
580	#442	—	13	2	no	—
581	#442	—	13	2	no	—
582	C₄×D₈	—	13	1	no	—
583	C₄×D₈	—	13	1	no	—
584	C₄×D₈	—	13	1	no	—
585	C₄×D₈	—	13	2	no	—
586	C₄×D₈	—	13	1	no	—
587	C₄×D₈	—	13	1	no	—
588	C₄×D₈	—	13	1	no	—
589	C₄×D₈	—	13	2	no	—
590	C₄×D₈	—	13	1	no	—
591	C₄×D₈	—	13	1	no	—
592	C₄×D₈	—	13	1	no	—
593	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
594	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
595	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
596	#428	—	13	2	no	—
597	#428	—	13	2	no	—
598	#427	—	13	1	no	—
599	#427	—	13	1	no	—
600	#427	—	13	2	no	—
601	C₂×#107	—	13	1	no	—
602	#424	—	13	1	no	—
603	#424	—	13	1	no	—
604	#423	—	13	1	no	—
605	#418	—	13	2	no	—
606	#418	—	13	2	no	—
607	C₂×#102	—	13	2	no	—
608	#405	—	13	1	no	—
609	#405	—	13	1	no	—
610	C₂×C₄×C₈	—	13	1	no	—
611	C₂²×C₁₃	—	2	4	no	—
612	C₂²×C₁₃	—	4	2	no	—
613	C₂²×C₁₃	—	4	2	no	—
614	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
615	C₂×D₁₃	—	2	1	no	—
616	C₂×D₁₃	—	2	1	no	—
617	C₂×D₁₃	—	2	4	no	—
618	C₂×D₁₃	—	4	2	no	—
619	C₂×D₁₃	—	4	2	no	—
620	C₂×D₁₃	—	8	8	no	—
621	C₂×D₁₃	D₄×Q₈	1	2	yes	—
622	C₄×C₁₃	—	2	1	no	—
623	C₄×C₁₃	—	2	1	no	—
624	C₄×C₁₃	—	2	1	no	—
625	C₄×C₁₃	—	2	1	no	—
626	C₄×C₁₃	—	2	1	no	—
627	C₄×C₁₃	—	2	1	no	—
628	C₄×C₁₃	—	4	2	no	—
629	C₄×C₁₃	—	4	2	no	—
630	C₄×C₁₃	—	4	2	no	—
631	C₄×C₁₃	C₂³×Q₈	1	1	yes	characteristic
632	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
633	Dic₁₃	—	2	1	no	—
634	Dic₁₃	—	2	1	no	—
635	Dic₁₃	—	2	1	no	—
636	Dic₁₃	—	2	1	no	—
637	Dic₁₃	—	2	1	no	—
638	Dic₁₃	—	4	2	no	—
639	Dic₁₃	—	4	2	no	—
640	Dic₁₃	—	4	2	no	—
641	Dic₁₃	D₄×Q₈	1	2	yes	—
642	Dic₁₃	#576	1	2	yes	—
643	C₂²×Q₈	—	26	2	no	—
644	C₂²×Q₈	—	26	2	no	—
645	C₂²×D₄	—	13	2	no	—
646	C₂³×C₄	—	26	2	no	—
647	C₂×D₈	—	13	2	no	—
648	C₂×D₈	—	13	8	no	—
649	C₂×D₈	—	13	1	no	—
650	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
651	C₂×M₁₆	—	13	1	no	—
652	C₂×M₁₆	—	13	1	no	—
653	C₂²×C₈	—	13	1	no	—
654	C₂²×C₈	—	13	1	no	—
655	C₄⋊Q₈	—	13	1	no	—
656	C₄⋊Q₈	—	13	1	no	—
657	C₄⋊Q₈	—	13	2	no	—
658	C₄⋊Q₈	—	13	2	no	—
659	C₄⋊Q₈	—	13	2	no	—
660	C₄⋊Q₈	—	13	2	no	—
661	C₄⋊Q₈	—	13	2	no	—
662	C₄⋊Q₈	—	26	2	no	—
663	C₄⋊Q₈	—	26	2	no	—
664	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
665	#125	—	13	1	no	—
666	#125	—	13	1	no	—
667	#125	—	13	2	no	—
668	#125	—	13	2	no	—
669	#125	—	13	2	no	—
670	#125	—	13	2	no	—
671	#125	—	26	2	no	—
672	#125	—	26	2	no	—
673	#125	C₂²×D₁₃	1	2	yes	—
674	#125	C₂²×D₁₃	1	2	yes	—
675	C₂²⋊Q₈	—	2	2	no	—
676	C₂²⋊Q₈	—	2	2	no	—
677	C₂²⋊Q₈	—	2	2	no	—
678	C₂²⋊Q₈	—	13	1	no	—
679	C₂²⋊Q₈	—	13	1	no	—
680	C₂²⋊Q₈	—	13	1	no	—
681	C₂²⋊Q₈	—	13	1	no	—
682	C₂²⋊Q₈	—	26	2	no	—
683	C₂²⋊Q₈	—	26	2	no	—
684	C₂²⋊Q₈	—	26	2	no	—
685	C₂²⋊Q₈	—	26	2	no	—
686	C₂²⋊Q₈	—	26	2	no	—
687	C₂²⋊Q₈	—	26	2	no	—
688	C₂²⋊Q₈	—	26	2	no	—
689	C₂²⋊Q₈	—	26	2	no	—
690	C₂²⋊Q₈	—	26	2	no	—
691	C₂²⋊Q₈	—	26	2	no	—
692	C₂²⋊Q₈	—	26	2	no	—
693	C₂²⋊Q₈	—	26	2	no	—
694	C₂²⋊Q₈	—	26	2	no	—
695	C₂²⋊Q₈	—	26	2	no	—
696	C₂²⋊Q₈	—	26	2	no	—
697	C₂²⋊Q₈	—	26	2	no	—
698	C₂²⋊Q₈	—	26	2	no	—
699	C₂²⋊Q₈	—	26	2	no	—
700	C₂²⋊Q₈	—	26	2	no	—
701	C₂²⋊Q₈	—	26	2	no	—
702	C₂²⋊Q₈	—	26	2	no	—
703	C₂²⋊Q₈	—	26	2	no	—
704	C₂²⋊Q₈	—	26	2	no	—
705	C₂²⋊Q₈	—	26	2	no	—
706	C₂²⋊Q₈	—	26	2	no	—
707	C₂²⋊Q₈	—	26	2	no	—
708	C₂²⋊Q₈	—	26	2	no	—
709	C₄×Q₈	—	13	1	no	—
710	C₄×Q₈	—	13	1	no	—
711	C₄×Q₈	—	13	1	no	—
712	C₄×Q₈	—	26	2	no	—
713	C₄×Q₈	—	26	2	no	—
714	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
715	C₄×D₄	—	13	2	no	—
716	C₄×D₄	—	13	2	no	—
717	C₄×D₄	—	13	2	no	—
718	C₄×D₄	—	13	2	no	—
719	C₄×D₄	—	13	2	no	—
720	C₄×D₄	—	13	2	no	—
721	C₄×D₄	—	13	2	no	—
722	C₄×D₄	—	13	2	no	—
723	C₄×D₄	—	13	2	no	—
724	C₄×D₄	—	26	2	no	—
725	C₄×D₄	—	26	2	no	—
726	C₄×D₄	—	26	2	no	—
727	C₄×D₄	—	26	2	no	—
728	C₄×D₄	—	26	2	no	—
729	C₄×D₄	—	26	2	no	—
730	C₄×D₄	C₂²×D₁₃	1	2	yes	—
731	C₄×D₄	C₂²×D₁₃	1	2	yes	—
732	C₄×D₄	C₂²×D₁₃	1	2	yes	—
733	#117	—	13	1	no	—
734	#117	—	13	1	no	—
735	#117	—	13	2	no	—
736	#117	—	13	2	no	—
737	C₂×C₄⋊C₄	—	2	2	no	—
738	C₂×C₄⋊C₄	—	13	2	no	—
739	C₂×C₄⋊C₄	—	26	2	no	—
740	C₂×C₄⋊C₄	—	26	2	no	—
741	C₂×C₄⋊C₄	—	26	2	no	—
742	C₂×C₄⋊C₄	—	26	2	no	—
743	C₂×C₄⋊C₄	—	26	2	no	—
744	C₂×C₂²⋊C₄	—	26	2	no	—
745	C₂×C₂²⋊C₄	—	26	2	no	—
746	C₂×C₂²⋊C₄	—	26	2	no	—
747	C₂×C₂²⋊C₄	—	26	2	no	—
748	C₂×C₂²⋊C₄	—	26	2	no	—
749	C₂×C₄²	—	13	1	no	—
750	#107	—	13	1	no	—
751	#107	—	13	1	no	—
752	#107	—	13	1	no	—
753	#107	—	13	2	no	—
754	#107	—	13	2	no	—
755	#107	—	13	2	no	—
756	#107	—	13	2	no	—
757	#107	—	13	2	no	—
758	#107	—	13	2	no	—
759	#107	C₂²×D₁₃	1	1	yes	characteristic
760	#107	C₂²×D₁₃	1	1	yes	characteristic
761	#107	C₂²×D₁₃	1	1	yes	characteristic
762	#107	C₂²×D₁₃	1	2	yes	—
763	#106	—	13	2	no	—
764	#106	—	13	2	no	—
765	#106	—	13	2	no	—
766	#106	—	13	2	no	—
767	#106	—	13	2	no	—
768	#106	—	13	2	no	—
769	#106	C₂²×D₁₃	1	2	yes	—
770	#106	C₂²×D₁₃	1	2	yes	—
771	C₄⋊C₈	—	13	1	no	—
772	C₄⋊C₈	—	13	1	no	—
773	C₄⋊C₈	—	13	1	no	—
774	C₄⋊C₈	—	13	1	no	—
775	C₄⋊C₈	—	13	1	no	—
776	C₄⋊C₈	—	13	1	no	—
777	C₄⋊C₈	—	13	1	no	—
778	C₄⋊C₈	—	13	1	no	—
779	C₄⋊C₈	—	13	1	no	—
780	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
781	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
782	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
783	#102	—	13	2	no	—
784	#102	—	13	2	no	—
785	#102	—	13	2	no	—
786	#102	—	13	2	no	—
787	#102	—	13	2	no	—
788	#102	—	13	2	no	—
789	#102	—	13	2	no	—
790	#102	—	13	2	no	—
791	#102	—	13	2	no	—
792	#102	C₂²×D₁₃	1	2	yes	—
793	#102	C₂²×D₁₃	1	2	yes	—
794	#102	C₂²×D₁₃	1	2	yes	—
795	#97	—	13	1	no	—
796	#97	—	13	1	no	—
797	#97	—	13	1	no	—
798	#97	—	13	1	no	—
799	C₄×C₈	—	13	1	no	—
800	C₄×C₈	—	13	1	no	—
801	C₄×C₈	—	13	1	no	—
802	C₄×C₈	—	13	1	no	—
803	C₄×C₈	—	13	1	no	—
804	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
805	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
806	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
807	C₂×C₁₃	—	4	4	no	—
808	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
809	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
810	C₂×C₁₃	#3584	1	1	yes	characteristic
811	D₁₃	—	2	2	no	—
812	D₁₃	—	4	4	no	—
813	C₂⁴	—	26	2	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	13	1	no	—
816	C₂×Q₈	—	13	1	no	—
817	C₂×Q₈	—	13	1	no	—
818	C₂×Q₈	—	26	2	no	—
819	C₂×Q₈	—	26	2	no	—
820	C₂×Q₈	—	26	2	no	—
821	C₂×Q₈	—	26	2	no	—
822	C₂×Q₈	—	26	2	no	—
823	C₂×Q₈	—	104	4	no	—
824	C₂×Q₈	—	104	4	no	—
825	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
826	C₂×D₄	—	13	8	no	—
827	C₂×D₄	—	13	2	no	—
828	C₂×D₄	—	26	4	no	—
829	C₂×D₄	—	26	2	no	—
830	C₂×D₄	C₂³×D₁₃	1	2	yes	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	13	1	no	—
835	C₂²×C₄	—	13	1	no	—
836	C₂²×C₄	—	13	1	no	—
837	C₂²×C₄	—	26	2	no	—
838	C₂²×C₄	—	26	2	no	—
839	C₂²×C₄	—	26	2	no	—
840	C₂²×C₄	—	26	2	no	—
841	C₂²×C₄	—	26	2	no	—
842	C₂²×C₄	—	26	2	no	—
843	C₂²×C₄	—	26	2	no	—
844	C₂²×C₄	—	26	2	no	—
845	C₂²×C₄	—	26	2	no	—
846	C₂²×C₄	—	26	2	no	—
847	C₂²×C₄	—	104	4	no	—
848	D₈	—	13	8	no	—
849	D₈	—	13	4	no	—
850	D₈	Q₈×D₁₃	1	4	yes	complemented
851	M₁₆	—	26	2	no	—
852	M₁₆	—	26	2	no	—
853	C₂×C₈	—	13	1	no	—
854	C₂×C₈	—	13	4	no	—
855	C₂×C₈	—	13	1	no	—
856	C₂×C₈	—	13	1	no	—
857	C₂×C₈	—	13	1	no	—
858	C₂×C₈	—	26	2	no	—
859	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
860	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
861	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
862	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	2	2	no	—
868	C₄⋊C₄	—	13	1	no	—
869	C₄⋊C₄	—	13	1	no	—
870	C₄⋊C₄	—	13	1	no	—
871	C₄⋊C₄	—	13	1	no	—
872	C₄⋊C₄	—	13	1	no	—
873	C₄⋊C₄	—	13	1	no	—
874	C₄⋊C₄	—	13	1	no	—
875	C₄⋊C₄	—	13	1	no	—
876	C₄⋊C₄	—	13	1	no	—
877	C₄⋊C₄	—	13	1	no	—
878	C₄⋊C₄	—	13	1	no	—
879	C₄⋊C₄	—	13	1	no	—
880	C₄⋊C₄	—	13	1	no	—
881	C₄⋊C₄	—	13	2	no	—
882	C₄⋊C₄	—	13	2	no	—
883	C₄⋊C₄	—	13	2	no	—
884	C₄⋊C₄	—	26	2	no	—
885	C₄⋊C₄	—	26	2	no	—
886	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
899	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
900	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
901	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
902	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
903	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	13	1	no	—
908	C₂²⋊C₄	—	13	1	no	—
909	C₂²⋊C₄	—	13	1	no	—
910	C₂²⋊C₄	—	13	1	no	—
911	C₂²⋊C₄	—	26	2	no	—
912	C₂²⋊C₄	—	26	2	no	—
913	C₂²⋊C₄	—	26	2	no	—
914	C₂²⋊C₄	—	26	2	no	—
915	C₂²⋊C₄	—	26	2	no	—
916	C₂²⋊C₄	—	26	2	no	—
917	C₂²⋊C₄	—	26	2	no	—
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	C₄²	—	13	1	no	—
923	C₄²	—	13	1	no	—
924	C₄²	—	13	1	no	—
925	C₄²	—	13	1	no	—
926	C₄²	—	13	1	no	—
927	C₄²	—	26	2	no	—
928	C₄²	—	26	2	no	—
929	C₄²	C₂³×D₁₃	1	1	yes	characteristic
930	C₄²	C₂³×D₁₃	1	1	yes	characteristic
931	C₄²	C₂³×D₁₃	1	1	yes	characteristic
932	C₁₃	#61370	1	1	yes	characteristic, complemented, Sylow
933	C₂³	—	2	2	no	—
934	C₂³	—	13	1	no	—
935	C₂³	—	26	8	no	—
936	C₂³	—	26	2	no	—
937	C₂³	—	104	2	no	—
938	C₂³	—	104	2	no	—
939	Q₈	—	4	1	no	—
940	Q₈	—	8	2	no	—
941	Q₈	—	26	2	no	—
942	Q₈	—	26	2	no	—
943	Q₈	—	52	1	no	—
944	Q₈	—	52	4	no	—
945	Q₈	—	104	2	no	—
946	Q₈	—	104	2	no	—
947	Q₈	—	104	2	no	—
948	Q₈	—	104	2	no	—
949	D₄	—	2	2	no	—
950	D₄	—	13	4	no	—
951	D₄	—	26	8	no	—
952	D₄	—	26	2	no	—
953	D₄	C₂×Q₈×D₁₃	1	4	yes	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	8	2	no	—
958	C₂×C₄	—	8	2	no	—
959	C₂×C₄	—	8	2	no	—
960	C₂×C₄	—	13	1	no	—
961	C₂×C₄	—	13	1	no	—
962	C₂×C₄	—	13	2	no	—
963	C₂×C₄	—	13	2	no	—
964	C₂×C₄	—	13	1	no	—
965	C₂×C₄	—	13	1	no	—
966	C₂×C₄	—	13	1	no	—
967	C₂×C₄	—	13	1	no	—
968	C₂×C₄	—	13	1	no	—
969	C₂×C₄	—	26	2	no	—
970	C₂×C₄	—	26	2	no	—
971	C₂×C₄	—	26	2	no	—
972	C₂×C₄	—	26	2	no	—
973	C₂×C₄	—	52	1	no	—
974	C₂×C₄	—	52	4	no	—
975	C₂×C₄	—	52	4	no	—
976	C₂×C₄	—	104	2	no	—
977	C₂×C₄	—	104	2	no	—
978	C₂×C₄	—	104	2	no	—
979	C₂×C₄	—	104	2	no	—
980	C₂×C₄	—	104	2	no	—
981	C₂×C₄	—	104	2	no	—
982	C₂×C₄	—	104	2	no	—
983	C₂×C₄	—	104	2	no	—
984	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
985	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
986	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
987	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
988	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
989	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
990	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
991	C₈	—	2	1	no	—
992	C₈	—	2	1	no	—
993	C₈	—	2	1	no	—
994	C₈	—	13	2	no	—
995	C₈	—	26	1	no	—
996	C₈	—	26	1	no	—
997	C₈	—	26	1	no	—
998	C₈	C₂×Q₈×D₁₃	1	2	yes	—
999	C₂²	—	2	4	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	13	2	no	—
1003	C₂²	—	26	1	no	—
1004	C₂²	—	26	1	no	—
1005	C₂²	—	26	4	no	—
1006	C₂²	—	52	2	no	—
1007	C₂²	—	52	2	no	—
1008	C₂²	—	104	8	no	—
1009	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1010	C₄	—	2	1	no	—
1011	C₄	—	2	1	no	—
1012	C₄	—	2	1	no	—
1013	C₄	—	2	1	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	1	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	2	no	—
1018	C₄	—	4	2	no	—
1019	C₄	—	13	2	no	—
1020	C₄	—	13	2	no	—
1021	C₄	—	26	1	no	—
1022	C₄	—	26	1	no	—
1023	C₄	—	26	1	no	—
1024	C₄	—	26	1	no	—
1025	C₄	—	26	1	no	—
1026	C₄	—	52	2	no	—
1027	C₄	—	52	2	no	—
1028	C₄	—	52	2	no	—
1029	C₄	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1030	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1031	C₂	—	4	4	no	—
1032	C₂	—	26	2	no	—
1033	C₂	—	52	4	no	—
1034	C₂	D₄×Q₈×D₁₃	1	1	yes	characteristic
1035	C₂	D₁₃×#576	1	1	yes	characteristic
1036	C₂	#13129605	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3380	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	C₂×D₈×D₁₃	C₂²
hypercenter	#3380	D₁₃
hypocenter	C₁₃	#61370
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3380

Complements

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

N	H ≅ G/N	type
1. #13128635	C₂	semidirect
2. #13127794	C₂	semidirect
3. #13127790	C₂	semidirect
4. #13127738	C₂	semidirect
5. #13127730	C₂	semidirect
6. #13127704	C₂	semidirect
7. #13127703	C₂	semidirect
8. #13127703	C₂	semidirect
9. #13127700	C₂	semidirect
10. #13127700	C₂	semidirect
11. D₈×Dic₂₆	C₂	semidirect
12. #13127688	C₂	semidirect
13. #13125373	C₂	semidirect
14. #13125369	C₂	semidirect
15. #13125349	C₂	semidirect
16. #13124666	C₂	semidirect
17. #13124662	C₂	semidirect
18. #13124631	C₂	semidirect
19. #13123765	C₂	semidirect
23. C₁₃×#3380	C₂	semidirect
24. C₁₃×#554	C₂²	semidirect
27. #11719432	C₂²	semidirect
28. #11719395	C₂²	semidirect
29. #11719395	C₂²	semidirect
38. #11719284	C₂²	semidirect
43. #11719244	C₂²	semidirect
44. #11719244	C₂²	semidirect
45. D₄×Dic₂₆	C₂²	semidirect
48. C₁₃×#500	C₂²	semidirect
49. C₁₃×#499	C₂²	semidirect
50. C₁₃×#499	C₂²	semidirect
51. C₁₃×#478	C₂²	semidirect
52. C₁₃×#478	C₂²	semidirect
53. C₁₃×#476	C₂²	semidirect
54. C₈×Q₈×C₁₃	C₂²	semidirect
61. #11718748	C₂²	semidirect
62. #11718741	C₂²	semidirect
63. #11718727	C₂²	semidirect
64. #11718727	C₂²	semidirect
65. #11718726	C₂²	semidirect
66. #11718725	C₂²	semidirect
67. #11718685	C₂²	semidirect
71. #11718670	C₂²	semidirect
72. #11718670	C₂²	semidirect
73. #11718668	C₂²	semidirect
74. #11718551	C₂²	semidirect
75. #11718551	C₂²	semidirect
80. #11718539	C₂²	semidirect
81. #11718539	C₂²	semidirect
82. #11718537	C₂²	semidirect
83. #11718535	C₂²	semidirect
84. #11718535	C₂²	semidirect
85. #11718535	C₂²	semidirect
86. #11718535	C₂²	semidirect
90. #11718532	C₂²	semidirect
91. #11718532	C₂²	semidirect
92. #11718531	C₂²	semidirect
93. #11718531	C₂²	semidirect
96. #11718517	C₂²	semidirect
97. #11718516	C₂²	semidirect
98. #11718508	C₂²	semidirect
99. #11718508	C₂²	semidirect
100. #11718503	C₂²	semidirect
104. #11718492	C₂²	semidirect
105. #11718489	C₂²	semidirect
106. #11718489	C₂²	semidirect
112. #11718424	C₂²	semidirect
113. #11718424	C₂²	semidirect
114. #11718422	C₂²	semidirect
115. #11718422	C₂²	semidirect
116. #11718420	C₂²	semidirect
117. #11718420	C₂²	semidirect
125. #11718344	C₂²	semidirect
126. #11718344	C₂²	semidirect
127. #11718343	C₂²	semidirect
128. C₈×Dic₂₆	C₂²	semidirect
129. C₈×Dic₂₆	C₂²	semidirect
130. C₈×Dic₂₆	C₂²	semidirect
167. D₈×D₁₃	Q₈	semidirect
309. D₄×D₁₃	C₂×Q₈	semidirect
331. C₁₃×D₈	C₂×Q₈	semidirect
356. #6104	C₂×Q₈	semidirect
410. D₁₀₄	C₂×Q₈	semidirect
414. C₈×D₁₃	C₂×Q₈	semidirect
425. #3380	D₁₃	semidirect
513. #554	C₂×D₁₃	semidirect
537. #500	C₂×D₁₃	semidirect
543. #499	C₂×D₁₃	semidirect
544. #499	C₂×D₁₃	semidirect
556. #478	C₂×D₁₃	semidirect
557. #478	C₂×D₁₃	semidirect
563. #476	C₂×D₁₃	semidirect
577. C₈×Q₈	C₂×D₁₃	semidirect
850. D₈	Q₈×D₁₃	semidirect
932. C₁₃	#61370	semidirect

Maximal subgroups

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

subgroup	index
#13128635	2
#13127794	2
#13127790	2
#13127738	2
#13127730	2
#13127704	2
#13127703	2
#13127700	2
D₈×Dic₂₆	2
#13127688	2
#13125373	2
#13125369	2
#13125349	2
#13124666	2
#13124662	2
#13124631	2
#13123765	2
#13123683	2
C₄×D₈×D₁₃	2
C₁₃×#3380	2
#61370	13