Finite Group Databasebeta

← #15619007

Subgroups — #15619007

Order 2816.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082178C211yesmaximal, characteristic
2#13077788C211yesmaximal, characteristic, complemented
3#13077785C211yesmaximal, characteristic, complemented
4#13077783C211yesmaximal, characteristic, complemented
5#13077780C211yesmaximal, characteristic, complemented
6#13077778C211yesmaximal, characteristic, complemented
7#13077769C211yesmaximal, characteristic, complemented
8#13077762C211yesmaximal, characteristic, complemented
9#13077761C211yesmaximal, characteristic, complemented
10#13077757C211yesmaximal, characteristic, complemented
11#13077756C211yesmaximal, characteristic, complemented
12#13077754C211yesmaximal, characteristic, complemented
13#13077752C211yesmaximal, characteristic, complemented
14#13077741C211yesmaximal, characteristic, complemented
15#13077736C211yesmaximal, characteristic, complemented
16#13077728C211yesmaximal, characteristic, complemented
17#13077561C211yesmaximal, characteristic, complemented
18#13077552C211yesmaximal, characteristic, complemented
19#13077349C211yesmaximal, characteristic, complemented
20#13077345C211yesmaximal, characteristic, complemented
21#13077342C211yesmaximal, characteristic, complemented
22#13077316C211yesmaximal, characteristic, complemented
23#13077307C211yesmaximal, characteristic, complemented
24D11×#435C211yesmaximal, characteristic, complemented
25#13077275C211yesmaximal, characteristic, complemented
26#13077269C211yesmaximal, characteristic, complemented
27#13077262C211yesmaximal, characteristic, complemented
28#13077185C211yesmaximal, characteristic, complemented
29#13077178C211yesmaximal, characteristic, complemented
30C2×#10622452C211yesmaximal, characteristic, complemented
31C11×#2989C211yesmaximal, characteristic, complemented
32C4×C11×#41C2211yescharacteristic
33#10623360C411yescharacteristic
34#10623355C411yescharacteristic
35C2×#66960C2211yescharacteristic
36C2×#66960C2211yescharacteristic
37C2×M16×D11C2211yescharacteristic
38C2×M16×D11C2211yescharacteristic
39C22×#4313C2211yescharacteristic
40C22×C8×D11C2211yescharacteristic
41#10623112C411yescharacteristic
42#10623111C2211yescharacteristic
43#10623109C2211yescharacteristic
44#10623099C411yescharacteristic
45#10623087C411yescharacteristic
46#10623087C411yescharacteristic
47#10623085C411yescharacteristic
48#10623078C2211yescharacteristic
49#10623078C2211yescharacteristic
50C4×D4×D11C2211yescharacteristic
51#10623071C411yescharacteristic
52#10623071C411yescharacteristic
53#10623070C411yescharacteristic
54#10623069C2211yescharacteristic
55#10623069C2211yescharacteristic
56C4×#4341C2211yescharacteristic
57#10623063C411yescharacteristic
58#10623062C411yescharacteristic
59#10623062C411yescharacteristic
60#10623060C411yescharacteristic
61#10623058C411yescharacteristic
62#10623058C411yescharacteristic
63#10623010C2211yescharacteristic
64#10623010C2211yescharacteristic
65#10623010C2211yescharacteristic
66C4×#4339C2211yescharacteristic
67C2×#66925C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69C11×#446C2211yescharacteristic, complemented
70C11×#446C2211yescharacteristic, complemented
71C11×#436C2211yescharacteristic, complemented
72C11×#436C2211yescharacteristic, complemented
73C11×#435C2211yescharacteristic
74C11×#435C2211yescharacteristic
75C11×#435C2211yescharacteristic, complemented
76C11×#435C2211yescharacteristic, complemented
77C11×#432C2211yescharacteristic, complemented
78C11×#432C2211yescharacteristic, complemented
79C11×#431C2211yescharacteristic, complemented
80C11×#423C2211yescharacteristic, complemented
81C11×#423C2211yescharacteristic, complemented
82C2×C11×C4⋊C8C2211yescharacteristic, complemented
83#10622741C2211yescharacteristic
84#10622741C2211yescharacteristic, complemented
85#10622741C2211yescharacteristic, complemented
86#10622741C2211yescharacteristic, complemented
87#10622740C2211yescharacteristic
88#10622740C2211yescharacteristic, complemented
89#10622740C2211yescharacteristic, complemented
90#10622740C2211yescharacteristic, complemented
91#10622732C2211yescharacteristic, complemented
92#10622732C2211yescharacteristic, complemented
93#10622731C2211yescharacteristic, complemented
94#10622731C2211yescharacteristic, complemented
95#10622724C2211yescharacteristic
96#10622724C2211yescharacteristic, complemented
97C8×C22⋊D11C2211yescharacteristic
98C8×C22⋊D11C2211yescharacteristic, complemented
99C2×Dic11⋊C8C2211yescharacteristic, complemented
100C2×Dic11⋊C8C2211yescharacteristic, complemented
101#10622637C2211yescharacteristic, complemented
102#10622637C2211yescharacteristic, complemented
103#10622624C2211yescharacteristic
104#10622624C2211yescharacteristic
105#10622624C2211yescharacteristic, complemented
106#10622624C2211yescharacteristic, complemented
107D4×C11⋊C8C2211yescharacteristic, complemented
108D4×C11⋊C8C2211yescharacteristic, complemented
109#10622539C2211yescharacteristic, complemented
110#10622539C2211yescharacteristic, complemented
111#10622538C2211yescharacteristic, complemented
112#10622537C2211yescharacteristic, complemented
113C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
114C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
115#10622453C2211yescharacteristic, complemented
116#10622453C2211yescharacteristic, complemented
117#10622453C2211yescharacteristic, complemented
118#10622453C2211yescharacteristic, complemented
119#10622453C2211yescharacteristic, complemented
120#10622453C2211yescharacteristic, complemented
121#10622452C2211yescharacteristic
122#10622452C2211yescharacteristic
123#10622452C2211yescharacteristic
124#10622452C2211yescharacteristic
125#10622452C2211yescharacteristic
126#10622452C2211yescharacteristic
127#10622452C2211yescharacteristic
128#10622452C2211yescharacteristic
129#10622452C2211yescharacteristic, complemented
130#10622452C2211yescharacteristic, complemented
131#10622452C2211yescharacteristic, complemented
132#10622452C2211yescharacteristic, complemented
133#10622452C2211yescharacteristic, complemented
134#10622452C2211yescharacteristic, complemented
135#10622452C2211yescharacteristic, complemented
136#10622452C2211yescharacteristic, complemented
137#10622452C2211yescharacteristic, complemented
138#10622452C2211yescharacteristic, complemented
139#10622451C2211yescharacteristic, complemented
140#10622450C2211yescharacteristic
141#10622450C2211yescharacteristic, complemented
142#10622449C2211yescharacteristic
143#10622449C2211yescharacteristic
144#10622449C2211yescharacteristic, complemented
145#10622449C2211yescharacteristic, complemented
146#10622447C2211yescharacteristic, complemented
147D11×C4⋊C8C2211yescharacteristic
148D11×C4⋊C8C2211yescharacteristic, complemented
149#10622444C2211yescharacteristic, complemented
150#10622443C2211yescharacteristic, complemented
151#10622441C2211yescharacteristic, complemented
152#10622441C2211yescharacteristic, complemented
153#10622441C2211yescharacteristic, complemented
154#10622441C2211yescharacteristic, complemented
155#10622343C2211yescharacteristic
156#10622343C2211yescharacteristic, complemented
157#10622343C2211yescharacteristic, complemented
158#10622343C2211yescharacteristic, complemented
159#10622342C2211yescharacteristic
160#10622342C2211yescharacteristic, complemented
161#10622341C2211yescharacteristic
162#10622341C2211yescharacteristic, complemented
163#10622340C2211yescharacteristic
164#10622340C2211yescharacteristic
165#10622339C2211yescharacteristic
166#10622339C2211yescharacteristic
167(C22⋊D11)⋊C8C2211yescharacteristic
168(C22⋊D11)⋊C8C2211yescharacteristic, complemented
169(C22⋊D11)⋊C8C2211yescharacteristic, complemented
170(C22⋊D11)⋊C8C2211yescharacteristic, complemented
171D11×C22⋊C8C2211yescharacteristic
172D11×C22⋊C8C2211yescharacteristic
173#10622333C2211yescharacteristic, complemented
174#10622333C2211yescharacteristic, complemented
175#10622332C2211yescharacteristic, complemented
176#10622332C2211yescharacteristic, complemented
177#10622331C2211yescharacteristic, complemented
178#10622331C2211yescharacteristic, complemented
179#10622322C2211yescharacteristic, complemented
180#10622322C2211yescharacteristic, complemented
181#10622321C2211yescharacteristic
182#10622321C2211yescharacteristic
183#10622320C2211yescharacteristic
184#10622319C2211yescharacteristic
185#10622319C2211yescharacteristic
186#10622319C2211yescharacteristic, complemented
187#10622319C2211yescharacteristic, complemented
188#10622318C2211yescharacteristic, complemented
189#10622318C2211yescharacteristic, complemented
190D11×#97C2211yescharacteristic
191#10622314C2211yescharacteristic, complemented
192#10622314C2211yescharacteristic, complemented
193#10622314C2211yescharacteristic, complemented
194#10622314C2211yescharacteristic, complemented
195#10622303C2211yescharacteristic, complemented
196#10622303C2211yescharacteristic, complemented
197#10622302C2211yescharacteristic
198#10622302C2211yescharacteristic
199#10622301C2211yescharacteristic, complemented
200C8×D44C2211yescharacteristic, complemented
201#10622292C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2×C411yescharacteristic
204C2×#4341C2×C411yescharacteristic
205C2×D4×D11C2×C411yescharacteristic
206C2×#4339C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C2×C11×M16C2311yescharacteristic
210C2×C11×M16C2311yescharacteristic
211C2×C11×M16C2311yescharacteristic
212C2×C11×M16C2311yescharacteristic
213C22×C8×C11C2311yescharacteristic
214C22×C8×C11C2311yescharacteristic
215C4×Q8×C11C2×C411yescharacteristic
216C4×Q8×C11C2311yescharacteristic
217C4×D4×C11C2×C411yescharacteristic
218C4×D4×C11C2×C411yescharacteristic
219C4×D4×C11C2×C411yescharacteristic
220C4×D4×C11C2311yescharacteristic
221C4×D4×C11C2311yescharacteristic
222C4×D4×C11C2311yescharacteristic
223C11×#117C2×C411yescharacteristic
224C11×#117C2×C411yescharacteristic
225C11×#117C2×C411yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229#67000C2×C411yescharacteristic
230#66999C2×C411yescharacteristic
231#66999C2×C411yescharacteristic
232#66997C2×C411yescharacteristic
233#66992C2×C411yescharacteristic
234#66992C2×C411yescharacteristic
235#66992C2×C411yescharacteristic
236#66992C2×C411yescharacteristic
237#66990C2×C411yescharacteristic
238#66990C2×C411yescharacteristic
239#66988C2×C411yescharacteristic
240#66988C2×C411yescharacteristic
241D4×Dic11C2×C411yescharacteristic
242D4×Dic11C2×C411yescharacteristic
243#66983C2×C411yescharacteristic
244#66983C2×C411yescharacteristic
245#66983C2×C411yescharacteristic
246#66982C2×C411yescharacteristic
247#66982C2×C411yescharacteristic
248#66982C2×C411yescharacteristic
249#66982C2×C411yescharacteristic
250#66982C2×C411yescharacteristic
251#66982C2×C411yescharacteristic
252C4×C22⋊D11C2×C411yescharacteristic
253C4×C22⋊D11C2×C411yescharacteristic
254C4×C22⋊D11C2×C411yescharacteristic
255C4×C22⋊D11C2×C411yescharacteristic
256C4×C22⋊D11C2311yescharacteristic
257C4×C22⋊D11C2311yescharacteristic
258C4×C22⋊D11C2311yescharacteristic
259C4×C22⋊D11C2311yescharacteristic
260C4×C22⋊D11C2311yescharacteristic
261C4×C22⋊D11C2311yescharacteristic
262C2×(C2×D11)⋊C4C2×C411yescharacteristic
263C2×(C2×D11)⋊C4C2×C411yescharacteristic
264C2×(C2×D11)⋊C4C2×C411yescharacteristic
265C2×(C2×D11)⋊C4C2×C411yescharacteristic
266#66979C2311yescharacteristic
267#66977C2×C411yescharacteristic
268#66977C2×C411yescharacteristic
269#66977C2×C411yescharacteristic
270C2×Dic11⋊C4C2×C411yescharacteristic
271C2×Dic11⋊C4C2×C411yescharacteristic
272C2×Dic11⋊C4C2×C411yescharacteristic
273C2×Dic11⋊C4C2×C411yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×#4318C2311yescharacteristic
277C2×#4318C2311yescharacteristic
278C22×C11⋊C8C2311yescharacteristic
279C22×C11⋊C8C2311yescharacteristic
280C22×C11⋊C8C2311yescharacteristic
281C22×C11⋊C8C2311yescharacteristic
282#66960—42no—
283#66960—42no—
284M16×D11—42no—
285M16×D11—42no—
286C2×#4313—42no—
287C2×#4313C2311yescharacteristic
288C2×#4313C2311yescharacteristic
289C2×#4313C2311yescharacteristic
290C2×#4313C2311yescharacteristic
291C2×#4313C2311yescharacteristic
292C2×#4313C2311yescharacteristic
293C2×#4313C2311yescharacteristic
294C2×#4313C2311yescharacteristic
295C2×#4313C2311yescharacteristic
296C2×#4313C2311yescharacteristic
297C2×C8×D11—42no—
298C2×C8×D11C2311yescharacteristic
299C2×C8×D11C2311yescharacteristic
300C2×C8×D11C2311yescharacteristic
301C2×C8×D11C2311yescharacteristic
302C2×C8×D11C2311yescharacteristic
303C2×C8×D11C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307C2×C8×D11C2311yescharacteristic
308#66951C2×C411yescharacteristic
309#66951C2×C411yescharacteristic
310#66951C2×C411yescharacteristic
311#66951C2×C411yescharacteristic
312#66950C2×C411yescharacteristic
313#66949C2×C411yescharacteristic
314#66949C2×C411yescharacteristic
315#66949C2×C411yescharacteristic
316#66949C2×C411yescharacteristic
317#66948C2×C411yescharacteristic
318#66947C2×C411yescharacteristic
319#66947C2×C411yescharacteristic
320#66947C2×C411yescharacteristic
321#66947C2×C411yescharacteristic
322#66946C2×C411yescharacteristic
323#66945C2×C411yescharacteristic
324C4⋊C4×D11C2×C411yescharacteristic
325#66943C2×C411yescharacteristic
326#66942C2×C411yescharacteristic
327#66942C2×C411yescharacteristic
328#66942C2×C411yescharacteristic
329#66942C2×C411yescharacteristic
330#66941C2×C411yescharacteristic
331#66940C2×C411yescharacteristic
332#66939C2×C411yescharacteristic
333#66939C2×C411yescharacteristic
334#66938C2×C411yescharacteristic
335#66938C2×C411yescharacteristic
336#66937C2×C411yescharacteristic
337#66937C2×C411yescharacteristic
338#66936C2×C411yescharacteristic
339#66936C2×C411yescharacteristic
340#66935C2×C411yescharacteristic
341#66935C2×C411yescharacteristic
342(C22⋊D11)⋊C4C2×C411yescharacteristic
343(C22⋊D11)⋊C4C2×C411yescharacteristic
344(C22⋊D11)⋊C4C2×C411yescharacteristic
345(C22⋊D11)⋊C4C2×C411yescharacteristic
346C22⋊C4×D11C2×C411yescharacteristic
347C22⋊C4×D11C2×C411yescharacteristic
348#66932C2×C411yescharacteristic
349#66932C2×C411yescharacteristic
350#66931C2×C411yescharacteristic
351#66931C2×C411yescharacteristic
352#66931C2×C411yescharacteristic
353#66931C2×C411yescharacteristic
354#66930C2×C411yescharacteristic
355#66930C2×C411yescharacteristic
356#66929C2×C411yescharacteristic
357#66929C2×C411yescharacteristic
358#66929C2×C411yescharacteristic
359#66929C2×C411yescharacteristic
360#66929C2×C411yescharacteristic
361#66929C2×C411yescharacteristic
362#66928C2×C411yescharacteristic
363#66928C2×C411yescharacteristic
364#66928C2×C411yescharacteristic
365C4×D44C2×C411yescharacteristic
366C4×D44C2×C411yescharacteristic
367C4×D44C2311yescharacteristic
368C4×D44C2311yescharacteristic
369C4×D44C2311yescharacteristic
370#66925C2×C411yescharacteristic
371#66925C2×C411yescharacteristic
372#66925C2×C411yescharacteristic
373#66925C2×C411yescharacteristic
374#66925C2×C411yescharacteristic
375#66925C2×C411yescharacteristic
376#66925C2×C411yescharacteristic
377#66925C2×C411yescharacteristic
378#66925C2311yescharacteristic
379#66925C2311yescharacteristic
380#66925C2311yescharacteristic
381#66925C2311yescharacteristic
382#66925C2311yescharacteristic
383#66925C2311yescharacteristic
384#66925C2311yescharacteristic
385#66925C2311yescharacteristic
386C42×D11C2311yescharacteristic
387C42×D11C2311yescharacteristic
388#66923C2×C411yescharacteristic
389#66923C2×C411yescharacteristic
390#66923C2×C411yescharacteristic
391C4×Dic22C2×C411yescharacteristic
392C4×Dic22C2×C411yescharacteristic
393C4×Dic22C2311yescharacteristic
394C4×Dic22C2311yescharacteristic
395C4×Dic22C2311yescharacteristic
396C11×C4⋊C8C2311yescharacteristic
397C11×C4⋊C8C2311yescharacteristic
398C11×C4⋊C8C2311yescharacteristic
399C11×C4⋊C8C2311yescharacteristic
400C11×C4⋊C8C2311yescharacteristic
401C11×C4⋊C8C2311yescharacteristic
402C11×C4⋊C8C2311yescharacteristic
403C11×C4⋊C8C2311yescharacteristic
404C11×C4⋊C8C2311yescharacteristic
405C11×C4⋊C8C2311yescharacteristic
406C11×C22⋊C8C2311yescharacteristic
407C11×C22⋊C8C2311yescharacteristic
408C11×C22⋊C8C2311yescharacteristic
409C11×C22⋊C8C2311yescharacteristic
410C11×C22⋊C8C2311yescharacteristic
411C11×C22⋊C8C2311yescharacteristic
412C11×#97C2311yescharacteristic
413C11×#97C2311yescharacteristic
414C11×#97C2311yescharacteristic
415C11×#97C2311yescharacteristic
416C4×C8×C11C2311yescharacteristic
417C4×C8×C11C2311yescharacteristic
418C22⋊(C11⋊C8)C2311yescharacteristic
419C22⋊(C11⋊C8)C2311yescharacteristic
420C22⋊(C11⋊C8)C2311yescharacteristic
421C22⋊(C11⋊C8)C2311yescharacteristic
422C22⋊(C11⋊C8)C2311yescharacteristic
423C22⋊(C11⋊C8)C2311yescharacteristic
424(C2×D11)⋊C8C2311yescharacteristic
425(C2×D11)⋊C8C2311yescharacteristic
426(C2×D11)⋊C8C2311yescharacteristic
427(C2×D11)⋊C8C2311yescharacteristic
428(C2×D11)⋊C8C2311yescharacteristic
429(C2×D11)⋊C8C2311yescharacteristic
430(C2×D11)⋊C8C2311yescharacteristic
431(C2×D11)⋊C8C2311yescharacteristic
432(C2×D11)⋊C8C2311yescharacteristic
433(C2×D11)⋊C8C2311yescharacteristic
434(C2×D11)⋊C8C2311yescharacteristic
435(C2×D11)⋊C8C2311yescharacteristic
436#66879C2311yescharacteristic
437#66879C2311yescharacteristic
438#66879C2311yescharacteristic
439#66879C2311yescharacteristic
440#66879C2311yescharacteristic
441#66879C2311yescharacteristic
442Dic11⋊C8C2311yescharacteristic
443Dic11⋊C8C2311yescharacteristic
444Dic11⋊C8C2311yescharacteristic
445Dic11⋊C8C2311yescharacteristic
446Dic11⋊C8C2311yescharacteristic
447Dic11⋊C8C2311yescharacteristic
448Dic11⋊C8C2311yescharacteristic
449Dic11⋊C8C2311yescharacteristic
450Dic11⋊C8C2311yescharacteristic
451Dic11⋊C8C2311yescharacteristic
452Dic11⋊C8C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466C8×Dic11C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C4⋊(C11⋊C8)C2311yescharacteristic
469C4⋊(C11⋊C8)C2311yescharacteristic
470C4⋊(C11⋊C8)C2311yescharacteristic
471C4⋊(C11⋊C8)C2311yescharacteristic
472C4⋊(C11⋊C8)C2311yescharacteristic
473C4⋊(C11⋊C8)C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4⋊(C11⋊C8)C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478#66867C2311yescharacteristic
479#66867C2311yescharacteristic
480#66867C2311yescharacteristic
481#66867C2311yescharacteristic
482C4×C11⋊C8C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#60272—111nomaximal, Sylow
485C23×D11C22×C411yescharacteristic
486C23×D11C22×C411yescharacteristic
487C11×#41—42no—
488C2×Q8×C11C22×C411yescharacteristic
489C2×D4×C11C22×C411yescharacteristic
490C2×D4×C11C22×C411yescharacteristic
491C2×D4×C11C22×C411yescharacteristic
492C22×C4×C11C22×C411yescharacteristic
493C22×C4×C11C22×C411yescharacteristic
494C22×C4×C11C22×C411yescharacteristic
495C22×C4×C11C22×C411yescharacteristic
496C22×C4×C11C22×C411yescharacteristic
497C22×C4×C11C22×C411yescharacteristic
498C22×C4×C11C2411yescharacteristic
499C22×C4×C11C2411yescharacteristic
500C22×C4×C11C2411yescharacteristic
501C2×C22⋊D11C22×C411yescharacteristic
502C2×C22⋊D11C22×C411yescharacteristic
503C2×C22⋊D11C22×C411yescharacteristic
504C2×C22⋊D11C22×C411yescharacteristic
505C2×C22⋊D11C22×C411yescharacteristic
506C2×C22⋊D11C22×C411yescharacteristic
507C2×C22⋊D11C22×C411yescharacteristic
508C2×C22⋊D11C22×C411yescharacteristic
509C22×Dic11C22×C411yescharacteristic
510C22×Dic11C22×C411yescharacteristic
511C22×Dic11C22×C411yescharacteristic
512C22×Dic11C22×C411yescharacteristic
513C22×Dic11C22×C411yescharacteristic
514C22×Dic11C22×C411yescharacteristic
515#4341—42no—
516D4×D11—42no—
517#4339—22no—
518#4339—22no—
519C2×D44C22×C411yescharacteristic
520C2×D44C22×C411yescharacteristic
521C2×D44C22×C411yescharacteristic
522C2×D44C22×C411yescharacteristic
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11C22×C411yescharacteristic
528C2×C4×D11C22×C411yescharacteristic
529C2×C4×D11C22×C411yescharacteristic
530C2×C4×D11C22×C411yescharacteristic
531C2×C4×D11C22×C411yescharacteristic
532C2×C4×D11C22×C411yescharacteristic
533C2×C4×D11C22×C411yescharacteristic
534C2×C4×D11C22×C411yescharacteristic
535C2×C4×D11C2411yescharacteristic
536C2×C4×D11C2411yescharacteristic
537C2×C4×D11C2411yescharacteristic
538C2×C4×D11C2411yescharacteristic
539C2×Dic22C22×C411yescharacteristic
540C2×Dic22C22×C411yescharacteristic
541C2×Dic22C22×C411yescharacteristic
542C2×Dic22C22×C411yescharacteristic
543C11×M16—41no—
544C11×M16—41no—
545C11×M16—41no—
546C11×M16—41no—
547C2×C8×C11—41no—
548C2×C8×C11—41no—
549C2×C8×C11C2411yescharacteristic
550C2×C8×C11C2411yescharacteristic
551C2×C8×C11C2411yescharacteristic
552C2×C8×C11C2411yescharacteristic
553C2×C8×C11C2411yescharacteristic
554C2×C8×C11C2411yescharacteristic
555C2×C8×C11C2411yescharacteristic
556C2×C8×C11C2411yescharacteristic
557C11×C4⋊C4C22×C411yescharacteristic
558C11×C4⋊C4C22×C411yescharacteristic
559C11×C4⋊C4C22×C411yescharacteristic
560C11×C4⋊C4C22×C411yescharacteristic
561C11×C4⋊C4C22×C411yescharacteristic
562C11×C4⋊C4C22×C411yescharacteristic
563C11×C22⋊C4C22×C411yescharacteristic
564C11×C22⋊C4C22×C411yescharacteristic
565C11×C22⋊C4C22×C411yescharacteristic
566C11×C22⋊C4C22×C411yescharacteristic
567C11×C22⋊C4C22×C411yescharacteristic
568C11×C22⋊C4C22×C411yescharacteristic
569C42×C11C22×C411yescharacteristic
570C42×C11C22×C411yescharacteristic
571C42×C11C22×C411yescharacteristic
572C42×C11C22×C411yescharacteristic
573C42×C11C22×C411yescharacteristic
574C42×C11C22×C411yescharacteristic
575C42×C11C2411yescharacteristic
576C42×C11C2411yescharacteristic
577C42×C11C2411yescharacteristic
578C42×C11C2411yescharacteristic
579C22⋊Dic11C22×C411yescharacteristic
580C22⋊Dic11C22×C411yescharacteristic
581C22⋊Dic11C22×C411yescharacteristic
582C22⋊Dic11C22×C411yescharacteristic
583C22⋊Dic11C22×C411yescharacteristic
584C22⋊Dic11C22×C411yescharacteristic
585C22⋊Dic11C22×C411yescharacteristic
586C22⋊Dic11C22×C411yescharacteristic
587(C2×D11)⋊C4C22×C411yescharacteristic
588(C2×D11)⋊C4C22×C411yescharacteristic
589(C2×D11)⋊C4C22×C411yescharacteristic
590(C2×D11)⋊C4C22×C411yescharacteristic
591(C2×D11)⋊C4C22×C411yescharacteristic
592(C2×D11)⋊C4C22×C411yescharacteristic
593(C2×D11)⋊C4C22×C411yescharacteristic
594(C2×D11)⋊C4C22×C411yescharacteristic
595(C2×D11)⋊C4C22×C411yescharacteristic
596(C2×D11)⋊C4C22×C411yescharacteristic
597(C2×D11)⋊C4C22×C411yescharacteristic
598(C2×D11)⋊C4C22×C411yescharacteristic
599(C2×D11)⋊C4C22×C411yescharacteristic
600(C2×D11)⋊C4C22×C411yescharacteristic
601(C2×D11)⋊C4C22×C411yescharacteristic
602(C2×D11)⋊C4C22×C411yescharacteristic
603(C2×D11)⋊C4C22×C411yescharacteristic
604(C2×D11)⋊C4C22×C411yescharacteristic
605(C2×D11)⋊C4C22×C411yescharacteristic
606(C2×D11)⋊C4C22×C411yescharacteristic
607(C2×D11)⋊C4C22×C411yescharacteristic
608(C2×D11)⋊C4C22×C411yescharacteristic
609(C2×D11)⋊C4C22×C411yescharacteristic
610(C2×D11)⋊C4C22×C411yescharacteristic
611(C2×D11)⋊C4C22×C411yescharacteristic
612(C2×D11)⋊C4C22×C411yescharacteristic
613(C2×D11)⋊C4C22×C411yescharacteristic
614(C2×D11)⋊C4C22×C411yescharacteristic
615C4⋊Dic11C22×C411yescharacteristic
616C4⋊Dic11C22×C411yescharacteristic
617C4⋊Dic11C22×C411yescharacteristic
618C4⋊Dic11C22×C411yescharacteristic
619C4⋊Dic11C22×C411yescharacteristic
620C4⋊Dic11C22×C411yescharacteristic
621C4⋊Dic11C22×C411yescharacteristic
622C4⋊Dic11C22×C411yescharacteristic
623Dic11⋊C4C22×C411yescharacteristic
624Dic11⋊C4C22×C411yescharacteristic
625Dic11⋊C4C22×C411yescharacteristic
626Dic11⋊C4C22×C411yescharacteristic
627Dic11⋊C4C22×C411yescharacteristic
628Dic11⋊C4C22×C411yescharacteristic
629Dic11⋊C4C22×C411yescharacteristic
630Dic11⋊C4C22×C411yescharacteristic
631Dic11⋊C4C22×C411yescharacteristic
632Dic11⋊C4C22×C411yescharacteristic
633Dic11⋊C4C22×C411yescharacteristic
634Dic11⋊C4C22×C411yescharacteristic
635Dic11⋊C4C22×C411yescharacteristic
636Dic11⋊C4C22×C411yescharacteristic
637Dic11⋊C4C22×C411yescharacteristic
638Dic11⋊C4C22×C411yescharacteristic
639Dic11⋊C4C22×C411yescharacteristic
640Dic11⋊C4C22×C411yescharacteristic
641Dic11⋊C4C22×C411yescharacteristic
642Dic11⋊C4C22×C411yescharacteristic
643Dic11⋊C4C22×C411yescharacteristic
644Dic11⋊C4C22×C411yescharacteristic
645Dic11⋊C4C22×C411yescharacteristic
646Dic11⋊C4C22×C411yescharacteristic
647Dic11⋊C4C22×C411yescharacteristic
648Dic11⋊C4C22×C411yescharacteristic
649Dic11⋊C4C22×C411yescharacteristic
650Dic11⋊C4C22×C411yescharacteristic
651C4×Dic11C22×C411yescharacteristic
652C4×Dic11C22×C411yescharacteristic
653C4×Dic11C22×C411yescharacteristic
654C4×Dic11C22×C411yescharacteristic
655C4×Dic11C22×C411yescharacteristic
656C4×Dic11C22×C411yescharacteristic
657C4×Dic11C22×C411yescharacteristic
658C4×Dic11C22×C411yescharacteristic
659C4×Dic11C2411yescharacteristic
660C4×Dic11C2411yescharacteristic
661C4×Dic11C2411yescharacteristic
662C4×Dic11C2411yescharacteristic
663#4318—41no—
664#4318—41no—
665C2×C11⋊C8—41no—
666C2×C11⋊C8—41no—
667C2×C11⋊C8—41no—
668C2×C11⋊C8—41no—
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672C2×C11⋊C8C2411yescharacteristic
673C2×C11⋊C8C2411yescharacteristic
674C2×C11⋊C8C2411yescharacteristic
675C2×C11⋊C8C2411yescharacteristic
676C2×C11⋊C8C2411yescharacteristic
677#4313—22no—
678#4313—22no—
679#4313—22no—
680#4313—22no—
681#4313—41no—
682#4313—41no—
683#4313—41no—
684#4313—41no—
685#4313—41no—
686#4313—41no—
687C8×D11—22no—
688C8×D11—22no—
689C8×D11—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693C8×D11—41no—
694C8×D11—41no—
695C8×D11—41no—
696C8×D11—41no—
697#3475—111no—
698#2995—111no—
699#2995—111no—
700#2995—111no—
701#2995—111no—
702#2994—111no—
703#2994—111no—
704#2993—111no—
705#2993—111no—
706#2992—111no—
707#2992—111no—
708#2992—111no—
709#2992—111no—
710#2990—111no—
711#2990—111no—
712#2989—111no—
713#2989D1111yescharacteristic, complemented
714#2962—111no—
715#2961—111no—
716D4×M16—111no—
717#2933—111no—
718#2933—111no—
719#2930—111no—
720#2929—111no—
721C2×#435—111no—
722#2924—111no—
723#2924—111no—
724#2923—111no—
725#2906—111no—
726#2905—111no—
727C2×#424—111no—
728C23×C11C23×C411yescharacteristic
729C23×C11C23×C411yescharacteristic
730C23×C11C23×C411yescharacteristic
731C22×D11—22no—
732C22×D11—22no—
733C22×D11—22no—
734C22×D11—41no—
735C22×D11—41no—
736C22×D11—41no—
737C22×D11C23×C411yescharacteristic
738C22×D11C23×C411yescharacteristic
739C22×D11C23×C411yescharacteristic
740C22×D11C23×C411yescharacteristic
741Q8×C11—41no—
742D4×C11—22no—
743D4×C11—22no—
744D4×C11—41no—
745C2×C4×C11—22no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—41no—
753C2×C4×C11—41no—
754C2×C4×C11—41no—
755C2×C4×C11—41no—
756C2×C4×C11—41no—
757C2×C4×C11C23×C411yescharacteristic
758C2×C4×C11C23×C411yescharacteristic
759C2×C4×C11C23×C411yescharacteristic
760C2×C4×C11C23×C411yescharacteristic
761C2×C4×C11C23×C411yescharacteristic
762C2×C4×C11C23×C411yescharacteristic
763C2×C4×C11C23×C411yescharacteristic
764C2×C4×C11C23×C411yescharacteristic
765C2×C4×C11C23×C411yescharacteristic
766C2×C4×C11C23×C411yescharacteristic
767C2×C4×C11C23×C411yescharacteristic
768C2×C4×C11C2511yescharacteristic
769C22⋊D11—22no—
770C22⋊D11—22no—
771C22⋊D11—22no—
772C22⋊D11—22no—
773C22⋊D11—41no—
774C22⋊D11—41no—
775C22⋊D11—41no—
776C22⋊D11—41no—
777C2×Dic11—22no—
778C2×Dic11—22no—
779C2×Dic11—22no—
780C2×Dic11—41no—
781C2×Dic11—41no—
782C2×Dic11—41no—
783C2×Dic11C23×C411yescharacteristic
784C2×Dic11C23×C411yescharacteristic
785C2×Dic11C23×C411yescharacteristic
786C2×Dic11C23×C411yescharacteristic
787C2×Dic11C23×C411yescharacteristic
788C2×Dic11C23×C411yescharacteristic
789C2×Dic11C23×C411yescharacteristic
790C2×Dic11C23×C411yescharacteristic
791C2×Dic11C23×C411yescharacteristic
792C2×Dic11C23×C411yescharacteristic
793C2×Dic11C23×C411yescharacteristic
794C2×Dic11C23×C411yescharacteristic
795D44—22no—
796D44—41no—
797D44—41no—
798D44—41no—
799C4×D11—22no—
800C4×D11—22no—
801C4×D11—21no—
802C4×D11—21no—
803C4×D11—21no—
804C4×D11—21no—
805C4×D11—21no—
806C4×D11—21no—
807C4×D11—22no—
808C4×D11—22no—
809C4×D11—41no—
810C4×D11—41no—
811C4×D11—41no—
812C4×D11—41no—
813C4×D11H(5,𝔽2)12yes—
814C4×D112−1+412yes—
815Dic22—22no—
816Dic22—41no—
817Dic22—41no—
818Dic22—41no—
819C8×C11—21no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C8×C11—21no—
824C8×C11—21no—
825C8×C11—21no—
826C8×C11—21no—
827C11⋊C8—21no—
828C11⋊C8—21no—
829C11⋊C8—21no—
830C11⋊C8—21no—
831C11⋊C8—21no—
832C11⋊C8—21no—
833C11⋊C8—21no—
834C11⋊C8—21no—
835C2×#131—111no—
836C2×#131—111no—
837C22×M16—111no—
838C22×M16—111no—
839C22×M16—111no—
840C23×C8—111no—
841#556—111no—
842#555—111no—
843#554—111no—
844#553—111no—
845#553—111no—
846#552—111no—
847#552—111no—
848#552—111no—
849#552—111no—
850#551—111no—
851#551—111no—
852#551—111no—
853#551—111no—
854#547—111no—
855#546—111no—
856#546—111no—
857#533—111no—
858#529—111no—
859#529—111no—
860#529—111no—
861#529—111no—
862#529—111no—
863#529—111no—
864#525—111no—
865#525—111no—
866C4×#41—111no—
867C4×#41—111no—
868C4×#41C2×D1111yescharacteristic
869C2×C4×D4—111no—
870C2×#117—111no—
871C2×#117—111no—
872#446—111no—
873#446—111no—
874#446—111no—
875#446—111no—
876#446—111no—
877#446—111no—
878#446—111no—
879#446—111no—
880#446—111no—
881#446—111no—
882#446—111no—
883#446—111no—
884#446C2×D1111yescharacteristic, complemented
885#446C2×D1111yescharacteristic, complemented
886C8×Q8—111no—
887C8×Q8—111no—
888#436—111no—
889#436—111no—
890#436—111no—
891#436—111no—
892#436—111no—
893#436—111no—
894#436—111no—
895#436—111no—
896#436C2×D1111yescharacteristic, complemented
897#436C2×D1111yescharacteristic, complemented
898#435—111no—
899#435—111no—
900#435—111no—
901#435—111no—
902#435—111no—
903#435—111no—
904#435—111no—
905#435—111no—
906#435—111no—
907#435—111no—
908#435—111no—
909#435—111no—
910#435—111no—
911#435—111no—
912#435—111no—
913#435—111no—
914#435—111no—
915#435—111no—
916#435—111no—
917#435—111no—
918#435—111no—
919#435—111no—
920#435—111no—
921#435—111no—
922#435C2×D1111yescharacteristic
923#435C2×D1111yescharacteristic
924#435C2×D1111yescharacteristic, complemented
925#435C2×D1111yescharacteristic, complemented
926C8×D4—111no—
927C8×D4—111no—
928C8×D4—111no—
929C8×D4—111no—
930C8×D4—111no—
931C8×D4—111no—
932C8×D4—111no—
933C8×D4—111no—
934C8×D4—111no—
935C8×D4—111no—
936#433—111no—
937#433—111no—
938#433—111no—
939#433—111no—
940#433—111no—
941#433—111no—
942#433—111no—
943#433—111no—
944#433—111no—
945#433—111no—
946#433—111no—
947#433—111no—
948#432—111no—
949#432—111no—
950#432—111no—
951#432—111no—
952#432—111no—
953#432—111no—
954#432C2×D1111yescharacteristic, complemented
955#432C2×D1111yescharacteristic, complemented
956#431—111no—
957#431—111no—
958#431—111no—
959#431C2×D1111yescharacteristic, complemented
960#424—111no—
961#424—111no—
962#424—111no—
963#424—111no—
964#424—111no—
965#424—111no—
966#424—111no—
967#424—111no—
968#424—111no—
969#424—111no—
970#424—111no—
971#424—111no—
972#424—111no—
973#424—111no—
974#424—111no—
975#424—111no—
976#424—111no—
977#424—111no—
978#424—111no—
979#424—111no—
980#423—111no—
981#423—111no—
982#423—111no—
983#423—111no—
984#423—111no—
985#423C2×D1111yescharacteristic, complemented
986#423C2×D1111yescharacteristic, complemented
987C2×C4⋊C8—111no—
988C2×C4⋊C8—111no—
989C2×C4⋊C8—111no—
990C2×C4⋊C8—111no—
991C2×C4⋊C8—111no—
992C2×C4⋊C8—111no—
993C2×C4⋊C8C2×D1111yescharacteristic, complemented
994#408—111no—
995#408—111no—
996#407—111no—
997#407—111no—
998C2×C22⋊C8—111no—
999C2×C22⋊C8—111no—
1000#405—111no—
1001#405—111no—
1002#405—111no—
1003#405—111no—
1004C4×M16—111no—
1005C2×#97—111no—
1006C22×C11—21no—
1007C22×C11—21no—
1008C22×C11—21no—
1009C22×C11—21no—
1010C22×C11—21no—
1011C22×C11—21no—
1012C22×C11—21no—
1013C22×C11—21no—
1014C22×C11#56812yes—
1015C22×C11C24×C411yescharacteristic
1016C2×D11—21no—
1017C2×D11—21no—
1018C2×D11—21no—
1019C2×D11—21no—
1020C2×D11—21no—
1021C2×D11—21no—
1022C2×D11—21no—
1023C2×D11—21no—
1024C2×D11—21no—
1025C2×D11—21no—
1026C2×D11—21no—
1027C2×D11—44no—
1028C2×D11—82no—
1029C2×D11#52012yes—
1030C4×C11—21no—
1031C4×C11—21no—
1032C4×C11—21no—
1033C4×C11—21no—
1034C4×C11—21no—
1035C4×C11—21no—
1036C4×C11—21no—
1037C4×C11—21no—
1038C4×C11—21no—
1039C4×C11—21no—
1040C4×C11—21no—
1041C4×C11C2×H(5,𝔽2)11yescharacteristic
1042C4×C11C2×2−1+411yescharacteristic
1043Dic11—21no—
1044Dic11—21no—
1045Dic11—21no—
1046Dic11—21no—
1047Dic11—21no—
1048Dic11—21no—
1049Dic11—21no—
1050Dic11—21no—
1051Dic11—21no—
1052Dic11—21no—
1053Dic11—21no—
1054Dic11#52012yes—
1055C2×#41—111no—
1056C2×#41—111no—
1057C2×#41C4×D1111yescharacteristic
1058C22×D4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061#131—442no—
1062#131—442no—
1063C2×M16—111no—
1064C2×M16—111no—
1065C2×M16—111no—
1066C2×M16—111no—
1067C2×M16—111no—
1068C2×M16—111no—
1069C2×M16—111no—
1070C2×M16—111no—
1071C2×M16—111no—
1072C2×M16—111no—
1073C2×M16—111no—
1074C2×M16—111no—
1075C2×M16—442no—
1076C2×M16—442no—
1077C2×M16—442no—
1078C2×M16C22×D1111yescharacteristic
1079C2×M16C22×D1111yescharacteristic
1080C2×M16C22×D1111yescharacteristic
1081C2×M16C22×D1111yescharacteristic
1082C22×C8—111no—
1083C22×C8—111no—
1084C22×C8—111no—
1085C22×C8—111no—
1086C22×C8—111no—
1087C22×C8—111no—
1088C22×C8—111no—
1089C22×C8—111no—
1090C22×C8—111no—
1091C22×C8—111no—
1092C22×C8—111no—
1093C22×C8—111no—
1094C22×C8—111no—
1095C22×C8—111no—
1096C22×C8—442no—
1097C22×C8C22×D1111yescharacteristic
1098C22×C8C22×D1111yescharacteristic
1099C4⋊Q8—111no—
1100C4⋊Q8—111no—
1101#126—111no—
1102#126—111no—
1103#126—111no—
1104#126—111no—
1105#126—111no—
1106#126—111no—
1107#126—111no—
1108#126—111no—
1109#126—111no—
1110#126—111no—
1111#126—111no—
1112#126—111no—
1113#125—111no—
1114#125—111no—
1115#125—111no—
1116#125—111no—
1117#125—111no—
1118#125—111no—
1119#125—111no—
1120#125—111no—
1121#124—111no—
1122#124—111no—
1123#124—111no—
1124#124—111no—
1125#124—111no—
1126#124—111no—
1127#123—111no—
1128#123—111no—
1129#123—111no—
1130#123—111no—
1131#123—111no—
1132#123—111no—
1133#123—111no—
1134#123—111no—
1135#123—111no—
1136#123—111no—
1137#123—111no—
1138#123—111no—
1139#123—111no—
1140#123—111no—
1141#123—111no—
1142#123—111no—
1143C22⋊Q8—111no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—111no—
1147C22⋊Q8—111no—
1148C22⋊Q8—111no—
1149C22⋊Q8—111no—
1150C22⋊Q8—111no—
1151C22⋊Q8—111no—
1152C22⋊Q8—111no—
1153C22⋊Q8—111no—
1154C22⋊Q8—111no—
1155C22⋊Q8—111no—
1156C22⋊Q8—111no—
1157#121—111no—
1158#121—111no—
1159#121—111no—
1160#121—111no—
1161#121—111no—
1162#121—111no—
1163#121—111no—
1164#121—111no—
1165#121—111no—
1166#121—111no—
1167#120—111no—
1168#120—111no—
1169#120—111no—
1170#120—111no—
1171C4×Q8—111no—
1172C4×Q8—111no—
1173C4×Q8—111no—
1174C4×Q8—111no—
1175C4×Q8—111no—
1176C4×Q8—111no—
1177C4×Q8C4×D1111yescharacteristic
1178C4×Q8C22×D1111yescharacteristic
1179C4×D4—111no—
1180C4×D4—111no—
1181C4×D4—111no—
1182C4×D4—111no—
1183C4×D4—111no—
1184C4×D4—111no—
1185C4×D4—111no—
1186C4×D4—111no—
1187C4×D4—111no—
1188C4×D4—111no—
1189C4×D4—111no—
1190C4×D4—111no—
1191C4×D4—111no—
1192C4×D4—111no—
1193C4×D4—111no—
1194C4×D4—111no—
1195C4×D4—111no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4C4×D1111yescharacteristic
1202C4×D4C4×D1111yescharacteristic
1203C4×D4C4×D1111yescharacteristic
1204C4×D4C22×D1111yescharacteristic
1205C4×D4C22×D1111yescharacteristic
1206C4×D4C22×D1111yescharacteristic
1207#117—111no—
1208#117—111no—
1209#117—111no—
1210#117—111no—
1211#117—111no—
1212#117—111no—
1213#117—111no—
1214#117—111no—
1215#117—111no—
1216#117—111no—
1217#117—111no—
1218#117—111no—
1219#117—111no—
1220#117—111no—
1221#117—111no—
1222#117—111no—
1223#117—111no—
1224#117—111no—
1225#117—111no—
1226#117—111no—
1227#117C4×D1111yescharacteristic
1228#117C4×D1111yescharacteristic
1229#117C4×D1111yescharacteristic
1230C2×C4⋊C4—111no—
1231C2×C4⋊C4—111no—
1232C2×C4⋊C4—111no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42C22×D1111yescharacteristic
1246C2×C42C22×D1111yescharacteristic
1247C2×C42C22×D1111yescharacteristic
1248C4⋊C8—111no—
1249C4⋊C8—111no—
1250C4⋊C8—111no—
1251C4⋊C8—111no—
1252C4⋊C8—111no—
1253C4⋊C8—111no—
1254C4⋊C8—111no—
1255C4⋊C8—111no—
1256C4⋊C8—111no—
1257C4⋊C8—111no—
1258C4⋊C8—111no—
1259C4⋊C8—111no—
1260C4⋊C8—111no—
1261C4⋊C8—111no—
1262C4⋊C8—111no—
1263C4⋊C8—111no—
1264C4⋊C8—111no—
1265C4⋊C8—111no—
1266C4⋊C8—111no—
1267C4⋊C8—111no—
1268C4⋊C8—111no—
1269C4⋊C8—111no—
1270C4⋊C8—111no—
1271C4⋊C8—111no—
1272C4⋊C8—111no—
1273C4⋊C8—111no—
1274C4⋊C8—111no—
1275C4⋊C8—111no—
1276C4⋊C8—111no—
1277C4⋊C8—111no—
1278C4⋊C8C22×D1111yescharacteristic
1279C4⋊C8C22×D1111yescharacteristic
1280C4⋊C8C22×D1111yescharacteristic
1281C4⋊C8C22×D1111yescharacteristic
1282C4⋊C8C22×D1111yescharacteristic
1283C4⋊C8C22×D1111yescharacteristic
1284C4⋊C8C22×D1111yescharacteristic
1285C4⋊C8C22×D1111yescharacteristic
1286C4⋊C8C22×D1111yescharacteristic
1287C4⋊C8C22×D1111yescharacteristic
1288C22⋊C8—111no—
1289C22⋊C8—111no—
1290C22⋊C8—111no—
1291C22⋊C8—111no—
1292C22⋊C8—111no—
1293C22⋊C8—111no—
1294C22⋊C8—111no—
1295C22⋊C8—111no—
1296C22⋊C8—111no—
1297C22⋊C8—111no—
1298C22⋊C8—111no—
1299C22⋊C8—111no—
1300C22⋊C8—111no—
1301C22⋊C8—111no—
1302C22⋊C8—111no—
1303C22⋊C8—111no—
1304C22⋊C8—111no—
1305C22⋊C8—111no—
1306C22⋊C8C22×D1111yescharacteristic
1307C22⋊C8C22×D1111yescharacteristic
1308C22⋊C8C22×D1111yescharacteristic
1309C22⋊C8C22×D1111yescharacteristic
1310C22⋊C8C22×D1111yescharacteristic
1311C22⋊C8C22×D1111yescharacteristic
1312#97—111no—
1313#97—111no—
1314#97—111no—
1315#97—111no—
1316#97—111no—
1317#97—111no—
1318#97—111no—
1319#97—111no—
1320#97—111no—
1321#97—111no—
1322#97C22×D1111yescharacteristic
1323#97C22×D1111yescharacteristic
1324#97C22×D1111yescharacteristic
1325#97C22×D1111yescharacteristic
1326C4×C8—111no—
1327C4×C8—111no—
1328C4×C8—111no—
1329C4×C8—111no—
1330C4×C8—111no—
1331C4×C8—111no—
1332C4×C8—111no—
1333C4×C8—111no—
1334C4×C8C22×D1111yescharacteristic
1335C4×C8C22×D1111yescharacteristic
1336C2×C11—22no—
1337C2×C11—41no—
1338C2×C11—41no—
1339C2×C11C2×#52011yescharacteristic
1340C2×C11C2×#56811yescharacteristic
1341C2×C11#357311yescharacteristic
1342D11—22no—
1343D11—41no—
1344D11—41no—
1345D11—41no—
1346C24—111no—
1347C24—111no—
1348#41—42no—
1349#41—222no—
1350#41—222no—
1351#41—442no—
1352C2×Q8—111no—
1353C2×Q8—111no—
1354C2×Q8—111no—
1355C2×Q8—111no—
1356C2×Q8C2×C4×D1111yescharacteristic
1357C2×D4—111no—
1358C2×D4—111no—
1359C2×D4—111no—
1360C2×D4—111no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—111no—
1364C2×D4—111no—
1365C2×D4—111no—
1366C2×D4—111no—
1367C2×D4—111no—
1368C2×D4—111no—
1369C2×D4—442no—
1370C2×D4C2×C4×D1111yescharacteristic
1371C2×D4C2×C4×D1111yescharacteristic
1372C2×D4C2×C4×D1111yescharacteristic
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—111no—
1378C22×C4—111no—
1379C22×C4—111no—
1380C22×C4—111no—
1381C22×C4—111no—
1382C22×C4—111no—
1383C22×C4—111no—
1384C22×C4—111no—
1385C22×C4—111no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—222no—
1392C22×C4—222no—
1393C22×C4—222no—
1394C22×C4—222no—
1395C22×C4C2×C4×D1111yescharacteristic
1396C22×C4C2×C4×D1111yescharacteristic
1397C22×C4C2×C4×D1111yescharacteristic
1398C22×C4C2×C4×D1111yescharacteristic
1399C22×C4C2×C4×D1111yescharacteristic
1400C22×C4C2×C4×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404M16—41no—
1405M16—41no—
1406M16—41no—
1407M16—41no—
1408M16—222no—
1409M16—222no—
1410M16—222no—
1411M16—222no—
1412M16—441no—
1413M16—441no—
1414M16—441no—
1415M16—441no—
1416M16—441no—
1417M16—441no—
1418M16—441no—
1419M16—441no—
1420C2×C8—41no—
1421C2×C8—41no—
1422C2×C8—111no—
1423C2×C8—111no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—111no—
1428C2×C8—111no—
1429C2×C8—111no—
1430C2×C8—222no—
1431C2×C8—222no—
1432C2×C8—222no—
1433C2×C8—222no—
1434C2×C8—441no—
1435C2×C8—441no—
1436C2×C8—441no—
1437C2×C8—441no—
1438C2×C8—441no—
1439C2×C8—441no—
1440C2×C8—441no—
1441C2×C8—441no—
1442C2×C8—441no—
1443C2×C8—441no—
1444C2×C8C23×D1111yescharacteristic
1445C2×C8C23×D1111yescharacteristic
1446C2×C8C23×D1111yescharacteristic
1447C2×C8C23×D1111yescharacteristic
1448C2×C8C23×D1111yescharacteristic
1449C2×C8C23×D1111yescharacteristic
1450C2×C8C23×D1111yescharacteristic
1451C2×C8C23×D1111yescharacteristic
1452C4⋊C4—111no—
1453C4⋊C4—111no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—111no—
1457C4⋊C4—111no—
1458C4⋊C4—111no—
1459C4⋊C4—111no—
1460C4⋊C4—111no—
1461C4⋊C4—111no—
1462C4⋊C4—111no—
1463C4⋊C4—111no—
1464C4⋊C4—111no—
1465C4⋊C4—111no—
1466C4⋊C4—111no—
1467C4⋊C4—111no—
1468C4⋊C4—111no—
1469C4⋊C4—111no—
1470C4⋊C4—111no—
1471C4⋊C4—111no—
1472C4⋊C4—111no—
1473C4⋊C4—111no—
1474C4⋊C4—111no—
1475C4⋊C4—111no—
1476C4⋊C4—111no—
1477C4⋊C4—111no—
1478C4⋊C4—111no—
1479C4⋊C4—111no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4C2×C4×D1111yescharacteristic
1489C4⋊C4C2×C4×D1111yescharacteristic
1490C4⋊C4C2×C4×D1111yescharacteristic
1491C4⋊C4C2×C4×D1111yescharacteristic
1492C4⋊C4C2×C4×D1111yescharacteristic
1493C4⋊C4C2×C4×D1111yescharacteristic
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—111no—
1501C22⋊C4—111no—
1502C22⋊C4—111no—
1503C22⋊C4—111no—
1504C22⋊C4—111no—
1505C22⋊C4—111no—
1506C22⋊C4—111no—
1507C22⋊C4—111no—
1508C22⋊C4—111no—
1509C22⋊C4—111no—
1510C22⋊C4—111no—
1511C22⋊C4—111no—
1512C22⋊C4—111no—
1513C22⋊C4—111no—
1514C22⋊C4—111no—
1515C22⋊C4—111no—
1516C22⋊C4—111no—
1517C22⋊C4—111no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—111no—
1525C22⋊C4—111no—
1526C22⋊C4—111no—
1527C22⋊C4—111no—
1528C22⋊C4—111no—
1529C22⋊C4—111no—
1530C22⋊C4C2×C4×D1111yescharacteristic
1531C22⋊C4C2×C4×D1111yescharacteristic
1532C22⋊C4C2×C4×D1111yescharacteristic
1533C22⋊C4C2×C4×D1111yescharacteristic
1534C22⋊C4C2×C4×D1111yescharacteristic
1535C22⋊C4C2×C4×D1111yescharacteristic
1536C42—111no—
1537C42—111no—
1538C42—111no—
1539C42—111no—
1540C42—111no—
1541C42—111no—
1542C42—111no—
1543C42—111no—
1544C42—111no—
1545C42—111no—
1546C42—111no—
1547C42—111no—
1548C42C2×C4×D1111yescharacteristic
1549C42C2×C4×D1111yescharacteristic
1550C42C2×C4×D1111yescharacteristic
1551C42C2×C4×D1111yescharacteristic
1552C42C2×C4×D1111yescharacteristic
1553C42C2×C4×D1111yescharacteristic
1554C42C23×D1111yescharacteristic
1555C42C23×D1111yescharacteristic
1556C42C23×D1111yescharacteristic
1557C42C23×D1111yescharacteristic
1558C11#6027211yescharacteristic, complemented, Sylow
1559C23—111no—
1560C23—111no—
1561C23—111no—
1562C23—111no—
1563C23—222no—
1564C23—222no—
1565C23—222no—
1566C23—441no—
1567C23—441no—
1568C23—441no—
1569C23C22×C4×D1111yescharacteristic
1570C23C22×C4×D1111yescharacteristic
1571C23C22×C4×D1111yescharacteristic
1572Q8—41no—
1573Q8—222no—
1574Q8—441no—
1575Q8—441no—
1576Q8—441no—
1577D4—22no—
1578D4—22no—
1579D4—41no—
1580D4—222no—
1581D4—222no—
1582D4—222no—
1583D4—222no—
1584D4—222no—
1585D4—441no—
1586D4—441no—
1587D4—441no—
1588D4—441no—
1589D4—441no—
1590D4—441no—
1591D4—441no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—111no—
1605C2×C4—112no—
1606C2×C4—112no—
1607C2×C4—111no—
1608C2×C4—111no—
1609C2×C4—111no—
1610C2×C4—111no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—111no—
1615C2×C4—111no—
1616C2×C4—111no—
1617C2×C4—111no—
1618C2×C4—222no—
1619C2×C4—222no—
1620C2×C4—222no—
1621C2×C4—222no—
1622C2×C4—222no—
1623C2×C4—222no—
1624C2×C4—222no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—441no—
1632C2×C4—441no—
1633C2×C4—441no—
1634C2×C4—441no—
1635C2×C4—441no—
1636C2×C4—441no—
1637C2×C4—441no—
1638C2×C4C22×C4×D1111yescharacteristic
1639C2×C4C22×C4×D1111yescharacteristic
1640C2×C4C22×C4×D1111yescharacteristic
1641C2×C4C22×C4×D1111yescharacteristic
1642C2×C4C22×C4×D1111yescharacteristic
1643C2×C4C22×C4×D1111yescharacteristic
1644C2×C4C22×C4×D1111yescharacteristic
1645C2×C4C22×C4×D1111yescharacteristic
1646C2×C4C22×C4×D1111yescharacteristic
1647C2×C4C22×C4×D1111yescharacteristic
1648C2×C4C22×C4×D1111yescharacteristic
1649C2×C4C24×D1111yescharacteristic
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—221no—
1659C8—221no—
1660C8—221no—
1661C8—221no—
1662C8—221no—
1663C8—221no—
1664C8—221no—
1665C8—221no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—112no—
1675C22—221no—
1676C22—221no—
1677C22—221no—
1678C22—221no—
1679C22—221no—
1680C22—221no—
1681C22—221no—
1682C22—221no—
1683C22—221no—
1684C22—221no—
1685C22—221no—
1686C22—444no—
1687C22—882no—
1688C22#1062327612yes—
1689C22C23×C4×D1111yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—112no—
1702C4—221no—
1703C4—221no—
1704C4—221no—
1705C4—221no—
1706C4—221no—
1707C4—221no—
1708C4—221no—
1709C4—221no—
1710C4—221no—
1711C4—221no—
1712C4—221no—
1713C4D11×H(5,𝔽2)11yescharacteristic
1714C4D11×2−1+411yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—222no—
1719C2—441no—
1720C2—441no—
1721C2—441no—
1722C2D11×#52011yescharacteristic
1723C2C2×#1062327611yescharacteristic
1724C2#1308332911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingC11×#2989C2
prime radical#13082178C2
cosocleC2×C4×C11C25
hypercenter#2989D11
hypocenterC11#60272
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #2989

Complements

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

NH ≅ G/Ntype
2. #13077788C2semidirect
3. #13077785C2semidirect
4. #13077783C2semidirect
5. #13077780C2semidirect
6. #13077778C2semidirect
7. #13077769C2semidirect
8. #13077762C2semidirect
9. #13077761C2semidirect
10. #13077757C2semidirect
11. #13077756C2semidirect
12. #13077754C2semidirect
13. #13077752C2semidirect
14. #13077741C2semidirect
15. #13077736C2semidirect
16. #13077728C2semidirect
17. #13077561C2semidirect
18. #13077552C2semidirect
19. #13077349C2semidirect
20. #13077345C2semidirect
21. #13077342C2semidirect
22. #13077316C2semidirect
23. #13077307C2semidirect
24. D11×#435C2semidirect
25. #13077275C2semidirect
26. #13077269C2semidirect
27. #13077262C2semidirect
28. #13077185C2semidirect
29. #13077178C2semidirect
30. C2×#10622452C2semidirect
31. C11×#2989C2semidirect
69. C11×#446C22semidirect
70. C11×#446C22semidirect
71. C11×#436C22semidirect
72. C11×#436C22semidirect
75. C11×#435C22semidirect
76. C11×#435C22semidirect
77. C11×#432C22semidirect
78. C11×#432C22semidirect
79. C11×#431C22semidirect
80. C11×#423C22semidirect
81. C11×#423C22semidirect
82. C2×C11×C4⋊C8C22semidirect
84. #10622741C22semidirect
85. #10622741C22semidirect
86. #10622741C22semidirect
88. #10622740C22semidirect
89. #10622740C22semidirect
90. #10622740C22semidirect
91. #10622732C22semidirect
92. #10622732C22semidirect
93. #10622731C22semidirect
94. #10622731C22semidirect
96. #10622724C22semidirect
98. C8×C22⋊D11C22semidirect
99. C2×Dic11⋊C8C22semidirect
100. C2×Dic11⋊C8C22semidirect
101. #10622637C22semidirect
102. #10622637C22semidirect
105. #10622624C22semidirect
106. #10622624C22semidirect
107. D4×C11⋊C8C22semidirect
108. D4×C11⋊C8C22semidirect
109. #10622539C22semidirect
110. #10622539C22semidirect
111. #10622538C22semidirect
112. #10622537C22semidirect
113. C2×C4⋊(C11⋊C8)C22semidirect
114. C2×C4⋊(C11⋊C8)C22semidirect
115. #10622453C22semidirect
116. #10622453C22semidirect
117. #10622453C22semidirect
118. #10622453C22semidirect
119. #10622453C22semidirect
120. #10622453C22semidirect
129. #10622452C22semidirect
130. #10622452C22semidirect
131. #10622452C22semidirect
132. #10622452C22semidirect
133. #10622452C22semidirect
134. #10622452C22semidirect
135. #10622452C22semidirect
136. #10622452C22semidirect
137. #10622452C22semidirect
138. #10622452C22semidirect
139. #10622451C22semidirect
141. #10622450C22semidirect
144. #10622449C22semidirect
145. #10622449C22semidirect
146. #10622447C22semidirect
148. D11×C4⋊C8C22semidirect
149. #10622444C22semidirect
150. #10622443C22semidirect
151. #10622441C22semidirect
152. #10622441C22semidirect
153. #10622441C22semidirect
154. #10622441C22semidirect
156. #10622343C22semidirect
157. #10622343C22semidirect
158. #10622343C22semidirect
160. #10622342C22semidirect
162. #10622341C22semidirect
168. (C22⋊D11)⋊C8C22semidirect
169. (C22⋊D11)⋊C8C22semidirect
170. (C22⋊D11)⋊C8C22semidirect
173. #10622333C22semidirect
174. #10622333C22semidirect
175. #10622332C22semidirect
176. #10622332C22semidirect
177. #10622331C22semidirect
178. #10622331C22semidirect
179. #10622322C22semidirect
180. #10622322C22semidirect
186. #10622319C22semidirect
187. #10622319C22semidirect
188. #10622318C22semidirect
189. #10622318C22semidirect
191. #10622314C22semidirect
192. #10622314C22semidirect
193. #10622314C22semidirect
194. #10622314C22semidirect
195. #10622303C22semidirect
196. #10622303C22semidirect
199. #10622301C22semidirect
200. C8×D44C22semidirect
201. #10622292C22semidirect
202. C8×Dic22C22semidirect
713. #2989D11semidirect
884. #446C2×D11semidirect
885. #446C2×D11semidirect
896. #436C2×D11semidirect
897. #436C2×D11semidirect
924. #435C2×D11semidirect
925. #435C2×D11semidirect
954. #432C2×D11semidirect
955. #432C2×D11semidirect
959. #431C2×D11semidirect
985. #423C2×D11semidirect
986. #423C2×D11semidirect
993. C2×C4⋊C8C2×D11semidirect
1558. C11#60272semidirect

Maximal subgroups

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

subgroupindex
#130821782
#130777882
#130777852
#130777832
#130777802
#130777782
#130777692
#130777622
#130777612
#130777572
#130777562
#130777542
#130777522
#130777412
#130777362
#130777282
#130775612
#130775522
#130773492
#130773452
#130773422
#130773162
#130773072
D11×#4352
#130772752
#130772692
#130772622
#130771852
#130771782
C2×#106224522
C11×#29892
#6027211