Finite Group Databasebeta

← #15632544

Subgroups — #15632544

Order 2816.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082175C211yesmaximal, characteristic, complemented
2D11×#547C211yesmaximal, characteristic, complemented
3#13081206C211yesmaximal, characteristic, complemented
4#13081204C211yesmaximal, characteristic, complemented
5#13081198C211yesmaximal, characteristic, complemented
6#13081196C211yesmaximal, characteristic, complemented
7#13081093C211yesmaximal, characteristic, complemented
8#13081091C211yesmaximal, characteristic, complemented
9#13081080C211yesmaximal, characteristic, complemented
10#13081063C211yesmaximal, characteristic, complemented
11#13081058C211yesmaximal, characteristic, complemented
12#13081055C211yesmaximal, characteristic, complemented
13#13081050C211yesmaximal, characteristic, complemented
14#13080971C211yesmaximal, characteristic, complemented
15#13080969C211yesmaximal, characteristic, complemented
16#13080960C211yesmaximal, characteristic, complemented
17#13080958C211yesmaximal, characteristic, complemented
18#13079161C211yesmaximal, characteristic, complemented
19#13078555C211yesmaximal, characteristic, complemented
20#13078553C211yesmaximal, characteristic, complemented
21#13078538C211yesmaximal, characteristic, complemented
22#13078535C211yesmaximal, characteristic, complemented
23#13078428C211yesmaximal, characteristic, complemented
24#13078411C211yesmaximal, characteristic, complemented
25#13078234C211yesmaximal, characteristic, complemented
26#13078232C211yesmaximal, characteristic, complemented
27#13077427C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29C2×#10622474C211yesmaximal, characteristic, complemented
30D11×#428C211yesmaximal, characteristic, complemented
31C11×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D11—21no—
33C11×#553C2211yescharacteristic, complemented
34C11×#547C2211yescharacteristic
35#10623355—21no—
36C2×#66964C2211yescharacteristic
37C2×M16×D11C2211yescharacteristic
38C22×#4313C2211yescharacteristic
39#10623257C2211yescharacteristic
40D11×C4⋊Q8C2211yescharacteristic
41#10623239—21no—
42#10623237—21no—
43#10623225C2211yescharacteristic, complemented
44#10623219C2211yescharacteristic
45#10623190—21no—
46#10623186—21no—
47#10623186—21no—
48D11×#123—21no—
49D11×#123—21no—
50#10623180—21no—
51#10623162—21no—
52D11×C22⋊Q8—21no—
53#10623147C2211yescharacteristic, complemented
54#10623142C2211yescharacteristic
55#10623142C2211yescharacteristic
56#10623142C2211yescharacteristic, complemented
57#10623141—21no—
58#10623137C2211yescharacteristic
59#10623137C2211yescharacteristic
60D11×#121C2211yescharacteristic
61D11×#121C2211yescharacteristic
62#10623131—21no—
63#10623089C2211yescharacteristic, complemented
64#10623087—21no—
65#10623086C2211yescharacteristic
66#10623082C2211yescharacteristic
67C4×D4×D11C2211yescharacteristic
68C4×D4×D11C2211yescharacteristic
69#10623072C2211yescharacteristic, complemented
70C4×#4341—21no—
71C4×#4341C2211yescharacteristic
72#10623064C2211yescharacteristic, complemented
73D11×#117C2211yescharacteristic
74#10623042C2211yescharacteristic, complemented
75#10623038C2211yescharacteristic
76#10623038C2211yescharacteristic
77C2×#66945C2211yescharacteristic
78C2×C4⋊C4×D11C2211yescharacteristic
79C2×C4⋊C4×D11C2211yescharacteristic
80C11×#501C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#481C2211yescharacteristic, complemented
83C11×#481C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#476C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic, complemented
88C11×#466C2211yescharacteristic, complemented
89C11×#442C2211yescharacteristic, complemented
90C11×#435C2211yescharacteristic, complemented
91C11×#428C2211yescharacteristic, complemented
92C2×C11×#106C2211yescharacteristic, complemented
93#10622772C2211yescharacteristic, complemented
94#10622770C2211yescharacteristic, complemented
95D8×Dic11C2211yescharacteristic, complemented
96#10622747C2211yescharacteristic, complemented
97#10622741C2211yescharacteristic, complemented
98#10622734C2211yescharacteristic, complemented
99#10622727C2211yescharacteristic, complemented
100C8×C22⋊D11C2211yescharacteristic, complemented
101C2×#66882C2211yescharacteristic, complemented
102#10622704C2211yescharacteristic, complemented
103#10622693C2211yescharacteristic, complemented
104#10622679C2211yescharacteristic, complemented
105#10622678C2211yescharacteristic, complemented
106#10622655C2211yescharacteristic, complemented
107#10622654C2211yescharacteristic, complemented
108#10622652C2211yescharacteristic, complemented
109#10622651C2211yescharacteristic, complemented
110#10622648C2211yescharacteristic, complemented
111#10622647C2211yescharacteristic, complemented
112#10622646C2211yescharacteristic, complemented
113#10622646C2211yescharacteristic, complemented
114#10622631C2211yescharacteristic, complemented
115#10622627C2211yescharacteristic, complemented
116#10622624C2211yescharacteristic, complemented
117#10622622C2211yescharacteristic, complemented
118#10622621C2211yescharacteristic, complemented
119#10622616C2211yescharacteristic, complemented
120#10622608C2211yescharacteristic, complemented
121#10622584C2211yescharacteristic, complemented
122#10622583C2211yescharacteristic, complemented
123#10622581C2211yescharacteristic, complemented
124#10622577C2211yescharacteristic, complemented
125C2×#66872C2211yescharacteristic, complemented
126C2×#66871C2211yescharacteristic, complemented
127#10622503C2211yescharacteristic, complemented
128#10622499C2211yescharacteristic, complemented
129#10622497C2211yescharacteristic, complemented
130#10622497C2211yescharacteristic, complemented
131#10622495C2211yescharacteristic, complemented
132#10622494C2211yescharacteristic
133#10622494C2211yescharacteristic
134#10622494C2211yescharacteristic
135D11×#107C2211yescharacteristic, complemented
136D11×#107C2211yescharacteristic, complemented
137#10622487C2211yescharacteristic, complemented
138#10622487C2211yescharacteristic, complemented
139#10622483C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622474C2211yescharacteristic
147#10622474C2211yescharacteristic
148#10622474C2211yescharacteristic
149#10622474C2211yescharacteristic
150#10622474C2211yescharacteristic
151#10622474C2211yescharacteristic
152#10622474C2211yescharacteristic, complemented
153#10622474C2211yescharacteristic, complemented
154#10622474C2211yescharacteristic, complemented
155#10622474C2211yescharacteristic, complemented
156D11×#106C2211yescharacteristic, complemented
157D11×#106C2211yescharacteristic, complemented
158#10622468C2211yescharacteristic, complemented
159#10622468C2211yescharacteristic, complemented
160#10622467C2211yescharacteristic, complemented
161#10622467C2211yescharacteristic, complemented
162#10622465C2211yescharacteristic, complemented
163#10622463C2211yescharacteristic, complemented
164#10622460C2211yescharacteristic, complemented
165#10622450C2211yescharacteristic
166#10622449C2211yescharacteristic, complemented
167#10622397C2211yescharacteristic, complemented
168#10622397C2211yescharacteristic, complemented
169#10622395C2211yescharacteristic, complemented
170#10622393C2211yescharacteristic, complemented
171#10622391C2211yescharacteristic, complemented
172#10622390C2211yescharacteristic, complemented
173#10622390C2211yescharacteristic, complemented
174#10622390C2211yescharacteristic, complemented
175#10622388C2211yescharacteristic, complemented
176#10622387C2211yescharacteristic, complemented
177#10622387C2211yescharacteristic, complemented
178#10622387C2211yescharacteristic, complemented
179#10622384C2211yescharacteristic
180#10622384C2211yescharacteristic
181#10622384C2211yescharacteristic
182#10622383C2211yescharacteristic
183#10622383C2211yescharacteristic
184#10622383C2211yescharacteristic
185#10622374C2211yescharacteristic, complemented
186#10622372C2211yescharacteristic, complemented
187#10622372C2211yescharacteristic, complemented
188#10622372C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622342C2211yescharacteristic, complemented
194#10622339C2211yescharacteristic
195#10622339C2211yescharacteristic
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622335C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622323C2211yescharacteristic, complemented
200#10622320C2211yescharacteristic
201#10622319C2211yescharacteristic, complemented
202#10622315C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204#41×D11—48no—
205C2×#4343—21no—
206C2×Q8×D11—21no—
207C2×#4341—21no—
208C2×#4341—21no—
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341C2311yescharacteristic
212C2×D4×D11—21no—
213C2×D4×D11—21no—
214C2×D4×D11D411yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339—21no—
217C2×#4339—21no—
218C2×#4339—21no—
219C22×C4×D11—21no—
220C22×C4×D11—21no—
221C22×C4×D11—21no—
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×M16C2311yescharacteristic
226C22×C8×C11C2311yescharacteristic
227C11×C4⋊Q8C2311yescharacteristic
228C11×#126—21no—
229C11×#125C2311yescharacteristic
230C11×#123—21no—
231C11×#123—21no—
232C11×#123—21no—
233C11×C22⋊Q8—21no—
234C11×#121—21no—
235C11×#121C2311yescharacteristic
236C11×#121C2311yescharacteristic
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C4×D4×C11—21no—
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C11×#117C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247#66999—21no—
248#66997—21no—
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66991C2311yescharacteristic
253#66991C2311yescharacteristic
254#66991C2311yescharacteristic
255#66991C2311yescharacteristic
256#66990—21no—
257#66990—21no—
258#66989—21no—
259#66988—21no—
260#66988—21no—
261#66988—21no—
262#66988—21no—
263D4×Dic11—21no—
264D4×Dic11—21no—
265D4×Dic11D411yescharacteristic
266D4×Dic11C2311yescharacteristic
267D4×Dic11C2311yescharacteristic
268C2×#4324C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270#66983C2311yescharacteristic
271#66983C2311yescharacteristic
272#66982—21no—
273#66982—21no—
274#66982—21no—
275C4×C22⋊D11—21no—
276C4×C22⋊D11—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11C2311yescharacteristic
280C4×C22⋊D11C2311yescharacteristic
281C2×(C2×D11)⋊C4—21no—
282#66979C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286#66977—21no—
287#66977—21no—
288#66977C2311yescharacteristic
289#66977C2311yescharacteristic
290C2×Dic11⋊C4—21no—
291C2×Dic11⋊C4—21no—
292C2×C4×Dic11—21no—
293C2×C4×Dic11—21no—
294C2×#4318C2311yescharacteristic
295C22×C11⋊C8C2311yescharacteristic
296#66964—24no—
297M16×D11—24no—
298C2×#4314C2311yescharacteristic
299C2×#4313—24no—
300C2×#4313C2311yescharacteristic
301C2×#4313C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×#4313C2311yescharacteristic
305C2×#4313C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307C2×C8×D11C2311yescharacteristic
308#66951—21no—
309#66950—21no—
310#66950C2311yescharacteristic
311#66950C2311yescharacteristic
312#66949—21no—
313#66949—21no—
314#66949—21no—
315#66949—21no—
316#66949—21no—
317#66948C2311yescharacteristic
318#66948C2311yescharacteristic
319#66947—21no—
320#66947—21no—
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66946D411yescharacteristic
325#66946C2311yescharacteristic
326#66945—21no—
327#66945—21no—
328#66945—21no—
329#66945C2311yescharacteristic
330#66945C2311yescharacteristic
331#66945C2311yescharacteristic
332#66945C2311yescharacteristic
333#66945C2311yescharacteristic
334C4⋊C4×D11—21no—
335C4⋊C4×D11—21no—
336C4⋊C4×D11—21no—
337C4⋊C4×D11—21no—
338C4⋊C4×D11—21no—
339C4⋊C4×D11D411yescharacteristic
340C4⋊C4×D11C2311yescharacteristic
341C4⋊C4×D11C2311yescharacteristic
342C4⋊C4×D11C2311yescharacteristic
343C4⋊C4×D11C2311yescharacteristic
344C4⋊C4×D11C2311yescharacteristic
345C4⋊C4×D11C2311yescharacteristic
346C4⋊C4×D11C2311yescharacteristic
347C4⋊C4×D11C2311yescharacteristic
348C4⋊C4×D11C2311yescharacteristic
349#66943—21no—
350#66942—21no—
351#66942—21no—
352#66941—21no—
353#66941C2311yescharacteristic
354#66941C2311yescharacteristic
355#66941C2311yescharacteristic
356#66941C2311yescharacteristic
357#66940—21no—
358#66940—21no—
359#66940C2311yescharacteristic
360#66939—21no—
361#66939—21no—
362#66938—21no—
363#66938—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4D411yescharacteristic
379(C22⋊D11)⋊C4D411yescharacteristic
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11D411yescharacteristic
385C22⋊C4×D11D411yescharacteristic
386#66932—21no—
387#66932—21no—
388#66932—21no—
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66930—21no—
393#66930—21no—
394#66930—21no—
395#66930—21no—
396#66929—21no—
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399#66925—21no—
400C42×D11—21no—
401C42×D11C2311yescharacteristic
402#66923C2311yescharacteristic
403#66922C2311yescharacteristic
404C4×Dic22—21no—
405C4×Dic22C2311yescharacteristic
406C11×#107C2311yescharacteristic
407C11×#107C2311yescharacteristic
408C11×#107C2311yescharacteristic
409C11×#106C2311yescharacteristic
410C11×#106C2311yescharacteristic
411C11×#106C2311yescharacteristic
412C11×#106C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×C4⋊C8C2311yescharacteristic
416C11×#102C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×C22⋊C8C2311yescharacteristic
423C11×C22⋊C8C2311yescharacteristic
424C11×#97C2311yescharacteristic
425#66896C2311yescharacteristic
426#66896C2311yescharacteristic
427#66896C2311yescharacteristic
428#66896C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431C22⋊(C11⋊C8)C2311yescharacteristic
432C22⋊(C11⋊C8)C2311yescharacteristic
433#66885C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436(C2×D11)⋊C8C2311yescharacteristic
437(C2×D11)⋊C8C2311yescharacteristic
438(C2×D11)⋊C8C2311yescharacteristic
439(C2×D11)⋊C8C2311yescharacteristic
440#66882C2311yescharacteristic
441#66882C2311yescharacteristic
442#66882C2311yescharacteristic
443#66882C2311yescharacteristic
444#66882C2311yescharacteristic
445#66882C2311yescharacteristic
446#66881C2311yescharacteristic
447#66881C2311yescharacteristic
448#66881C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452Dic11⋊C8C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454C8×Dic11C2311yescharacteristic
455C8×Dic11C2311yescharacteristic
456#66874C2311yescharacteristic
457#66874C2311yescharacteristic
458#66874C2311yescharacteristic
459#66873C2311yescharacteristic
460#66873C2311yescharacteristic
461#66873C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66872C2311yescharacteristic
465#66872C2311yescharacteristic
466#66872C2311yescharacteristic
467#66872C2311yescharacteristic
468#66872C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#61252—111nomaximal, Sylow
483C23×D11—21no—
484C23×D11C2×D411yescharacteristic
485C23×D11C2×D411yescharacteristic
486C11×#41—44no—
487C2×Q8×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11C2×D411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11C2411yescharacteristic
501C22×C4×C11C2411yescharacteristic
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11C2×D411yescharacteristic
511C2×C22⋊D11C2×D411yescharacteristic
512C22×Dic11—21no—
513C22×Dic11—21no—
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11C2×D411yescharacteristic
519C22×Dic11C2×D411yescharacteristic
520#4343—44no—
521Q8×D11—44no—
522#4341—22no—
523#4341—22no—
524#4341—44no—
525#4341—44no—
526#4341—44no—
527#4341—44no—
528D4×D11—24no—
529D4×D11—22no—
530D4×D11—22no—
531D4×D11—44no—
532D4×D11—44no—
533#4339—44no—
534#4339—44no—
535#4339—44no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44C2×D411yescharacteristic
539C2×D44C2411yescharacteristic
540C2×C4×D11—22no—
541C2×C4×D11—22no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—44no—
556C2×C4×D11—44no—
557C2×C4×D11—44no—
558C2×C4×D11C2×D411yescharacteristic
559C2×C4×D11C2×D411yescharacteristic
560C2×C4×D11C2×D411yescharacteristic
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22C2411yescharacteristic
573C11×D8—22no—
574C11×M16—22no—
575C2×C8×C11—22no—
576C2×C8×C11C2411yescharacteristic
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C11×C4⋊C4—21no—
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4C2×D411yescharacteristic
587C11×C4⋊C4C2411yescharacteristic
588C11×C4⋊C4C2411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4C2×D411yescharacteristic
601C11×C22⋊C4C2×D411yescharacteristic
602C42×C11—21no—
603C42×C11C2411yescharacteristic
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11C2×D411yescharacteristic
614C22⋊Dic11C2×D411yescharacteristic
615#4324—22no—
616#4323—22no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4C2×D411yescharacteristic
631(C2×D11)⋊C4C2×D411yescharacteristic
632(C2×D11)⋊C4C2×D411yescharacteristic
633(C2×D11)⋊C4C2×D411yescharacteristic
634C4⋊Dic11—21no—
635C4⋊Dic11—21no—
636C4⋊Dic11—21no—
637C4⋊Dic11—21no—
638C4⋊Dic11—21no—
639C4⋊Dic11—21no—
640C4⋊Dic11C2×D411yescharacteristic
641C4⋊Dic11C2411yescharacteristic
642C4⋊Dic11C2411yescharacteristic
643C4⋊Dic11C2411yescharacteristic
644C4⋊Dic11C2411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646C4⋊Dic11C2411yescharacteristic
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2×D411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—22no—
680C2×C11⋊C8—22no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685#4314—22no—
686#4313—22no—
687#4313—22no—
688#4313—22no—
689#4313—22no—
690#4313—22no—
691#4313#4114yescomplemented
692C8×D11—22no—
693C8×D11—22no—
694#3475—111no—
695C2×#547—111no—
696#3354—111no—
697#3354—111no—
698#3353—111no—
699#3353—111no—
700#3345—111no—
701#3345—111no—
702#3345—111no—
703#3345D1111yescharacteristic, complemented
704#3343—111no—
705#3343—111no—
706#3343—111no—
707#3343—111no—
708#3335—111no—
709#3335—111no—
710#3334—111no—
711#3334—111no—
712#3165—111no—
713#3094—111no—
714#3094—111no—
715#3092—111no—
716#3092—111no—
717#3079—111no—
718#3077—111no—
719#3055—111no—
720#3055—111no—
721C4×AGL(1,ℤ/8)—111no—
722D4×M16—111no—
723C2×#428—111no—
724C2×#428—111no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11C22×D411yescharacteristic
728C23×C11C22×D411yescharacteristic
729C22×D11—22no—
730C22×D11—22no—
731C22×D11—22no—
732C22×D11—22no—
733C22×D11—21no—
734C22×D11—41no—
735C22×D11—41no—
736C22×D11—42no—
737C22×D11—42no—
738C22×D11—42no—
739C22×D11C22×D411yescharacteristic
740C22×D11C22×D411yescharacteristic
741C22×D11C22×D411yescharacteristic
742Q8×C11—42no—
743D4×C11—22no—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—42no—
749D4×C11—42no—
750D4×C11—42no—
751D4×C11—81no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—42no—
763C2×C4×C11—42no—
764C2×C4×C11—42no—
765C2×C4×C11—81no—
766C2×C4×C11—81no—
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C2511yescharacteristic
772C22⋊D11—22no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—42no—
778C22⋊D11—42no—
779C22⋊D11—42no—
780C22⋊D11—81no—
781C22⋊D11AGL(1,ℤ/8)14yescomplemented
782C2×Dic11—22no—
783C2×Dic11—22no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—42no—
792C2×Dic11—42no—
793C2×Dic11—42no—
794C2×Dic11—42no—
795C2×Dic11—42no—
796C2×Dic11—42no—
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799C2×Dic11C22×D411yescharacteristic
800C2×Dic11C22×D411yescharacteristic
801C2×Dic11C22×D411yescharacteristic
802D44—22no—
803D44—21no—
804D44—21no—
805D44—42no—
806D44—42no—
807C4×D11—22no—
808C4×D11—22no—
809C4×D11—21no—
810C4×D11—21no—
811C4×D11—21no—
812C4×D11—21no—
813C4×D11—22no—
814C4×D11—22no—
815C4×D11—22no—
816C4×D11—41no—
817C4×D11—42no—
818C4×D11—42no—
819C4×D11—42no—
820C4×D11—42no—
821C4×D11—42no—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—42no—
825C4×D11—42no—
826C4×D11—42no—
827C4×D11—81no—
828C4×D11C2×#4112yes—
829C4×D112−1+412yes—
830Dic22—21no—
831Dic22—21no—
832Dic22—42no—
833Dic22—42no—
834Dic22—42no—
835Dic22—42no—
836Dic22—81no—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11C2×#4112yescomplemented
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8C2×#4112yescomplemented
845C22×#41—221no—
846C2×AGL(1,ℤ/8)—111no—
847C22×M16—111no—
848C22×M16—111no—
849#556—111no—
850#555—111no—
851#554—111no—
852#553—111no—
853#553C2×D1111yescharacteristic, complemented
854#552—111no—
855#552—111no—
856#552—221no—
857#551—221no—
858#551—221no—
859#547—111no—
860#547—111no—
861#547—111no—
862#547—111no—
863#547—111no—
864#547—111no—
865#547—111no—
866#547—111no—
867#547—221no—
868#547—221no—
869#547—221no—
870#547—221no—
871#547C2×D1111yescharacteristic
872#546—221no—
873#533—111no—
874C2×C4⋊Q8—111no—
875#529—221no—
876#529—221no—
877#529—221no—
878#525—111no—
879#525—111no—
880C2×#123—221no—
881C2×#123—221no—
882C2×C22⋊Q8—221no—
883C2×#121—111no—
884C2×#121—111no—
885C4×#41—111no—
886C4×#41—221no—
887C2×C4×D4—111no—
888C2×C4×D4—111no—
889C2×#117—111no—
890C2×#117—111no—
891C22×C4⋊C4—111no—
892C22×C4⋊C4—111no—
893#501—111no—
894#501—111no—
895#501—111no—
896#501C2×D1111yescharacteristic, complemented
897#500—111no—
898#500—111no—
899#498—111no—
900#498—111no—
901#484—111no—
902#484—111no—
903#484—111no—
904#484—111no—
905#483—111no—
906#483—111no—
907#483—111no—
908#483—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482—111no—
913#482—111no—
914#482—111no—
915#482—111no—
916#482C2×D1111yescharacteristic, complemented
917#481—111no—
918#481—111no—
919#481—111no—
920#481—111no—
921#481—111no—
922#481—111no—
923#481C2×D1111yescharacteristic, complemented
924#481C2×D1111yescharacteristic, complemented
925#480—111no—
926#480—111no—
927#480—111no—
928#480—111no—
929#480—111no—
930#480—111no—
931#480—111no—
932#480C2×D1111yescharacteristic, complemented
933#478—111no—
934#478—111no—
935#478—111no—
936#478C2×D1111yescharacteristic, complemented
937#477—111no—
938#477—111no—
939#476—111no—
940#476—111no—
941#476—111no—
942#476C2×D1111yescharacteristic, complemented
943#475—111no—
944#475—111no—
945#474—111no—
946#474—111no—
947#474—111no—
948#474—111no—
949#469—111no—
950#469—111no—
951#469—111no—
952#469C2×D1111yescharacteristic, complemented
953#468—111no—
954#468—111no—
955#468—111no—
956#468—111no—
957#466—111no—
958#466—111no—
959#466—111no—
960#466C2×D1111yescharacteristic, complemented
961#465—111no—
962#465—111no—
963#465—111no—
964#465—111no—
965#442—111no—
966#442C2×D1111yescharacteristic, complemented
967#440—111no—
968#440—111no—
969C4×SD16—111no—
970C4×SD16—111no—
971C4×D8—111no—
972C4×D8—111no—
973#436—111no—
974#436—111no—
975#435—111no—
976#435—111no—
977#435—111no—
978#435C2×D1111yescharacteristic, complemented
979C8×D4—111no—
980C8×D4—111no—
981#428—111no—
982#428—111no—
983#428—111no—
984#428—111no—
985#428—111no—
986#428—111no—
987#428—111no—
988#428—111no—
989#428—111no—
990#428—111no—
991#428—111no—
992#428—111no—
993#428—111no—
994#428—111no—
995#428—111no—
996#428—111no—
997#428C2×D1111yescharacteristic, complemented
998C2×#107—111no—
999C2×#107—111no—
1000C2×#107—111no—
1001C2×#107—111no—
1002C2×#106—111no—
1003C2×#106—111no—
1004C2×#106—111no—
1005C2×#106C2×D1111yescharacteristic, complemented
1006#423—111no—
1007#418—111no—
1008#418—111no—
1009#418—111no—
1010#417—111no—
1011#417—111no—
1012#417—111no—
1013#407—111no—
1014#407—111no—
1015C4×M16—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11C2×AGL(1,ℤ/8)12yes—
1028C22×C11C23×D411yescharacteristic
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—44no—
1037C2×D11—44no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—84no—
1042C2×D11#54712yes—
1043C2×D11C2×AGL(1,ℤ/8)12yes—
1044C4×C11—21no—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11C22×#4111yescharacteristic
1055C4×C11C2×2−1+411yescharacteristic
1056Dic11—21no—
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—41no—
1060Dic11—41no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11#54712yes—
1067Dic11C2×AGL(1,ℤ/8)12yes—
1068C2×#41—21no—
1069C2×#41—111no—
1070C2×#41—221no—
1071C2×#41—221no—
1072C2×#41—221no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C2×#41—221no—
1078C2×#41—448no—
1079C22×Q8—221no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—221no—
1083C22×D4—221no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—221no—
1087C23×C4—221no—
1088C23×C4—221no—
1089AGL(1,ℤ/8)—224no—
1090C2×SD16—111no—
1091C2×SD16—111no—
1092C2×D8—111no—
1093C2×D8C22×D1111yescharacteristic
1094C2×M16—111no—
1095C2×M16—111no—
1096C2×M16—111no—
1097C2×M16—111no—
1098C2×M16—111no—
1099C2×M16—111no—
1100C2×M16—111no—
1101C2×M16—224no—
1102C2×M16—224no—
1103C2×M16C22×D1111yescharacteristic
1104C22×C8—111no—
1105C22×C8—111no—
1106C22×C8—111no—
1107C22×C8C22×D1111yescharacteristic
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—111no—
1111C4⋊Q8—111no—
1112C4⋊Q8—111no—
1113C4⋊Q8—221no—
1114C4⋊Q8—221no—
1115C4⋊Q8C22×D1111yescharacteristic
1116#126—21no—
1117#126—221no—
1118#126—221no—
1119#126—221no—
1120#126—221no—
1121#126—221no—
1122#125—111no—
1123#125—221no—
1124#125—221no—
1125#125—221no—
1126#125C22×D1111yescharacteristic
1127#124—221no—
1128#124—221no—
1129#124—221no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136#123—221no—
1137#123—221no—
1138#123—221no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142#123—221no—
1143#123—221no—
1144#123—221no—
1145#123—221no—
1146#123—221no—
1147#123—221no—
1148#123—221no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154C22⋊Q8—21no—
1155C22⋊Q8—111no—
1156C22⋊Q8—111no—
1157C22⋊Q8—111no—
1158C22⋊Q8—111no—
1159C22⋊Q8—221no—
1160C22⋊Q8—221no—
1161C22⋊Q8—221no—
1162C22⋊Q8—221no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169C22⋊Q8—221no—
1170C22⋊Q8—221no—
1171#121—21no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—111no—
1179#121—111no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121C22×D1111yescharacteristic
1187#121C22×D1111yescharacteristic
1188#121C22×D1111yescharacteristic
1189#121C22×D1111yescharacteristic
1190#120—221no—
1191#120—221no—
1192C4×Q8—111no—
1193C4×Q8—111no—
1194C4×Q8—221no—
1195C4×Q8—221no—
1196C4×Q8—221no—
1197C4×D4—21no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4C22×D1111yescharacteristic
1220C4×D4C22×D1111yescharacteristic
1221C4×D4C22×D1111yescharacteristic
1222#117—111no—
1223#117—111no—
1224#117—111no—
1225#117—111no—
1226#117—111no—
1227#117—111no—
1228#117—221no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117C22×D1111yescharacteristic
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—111no—
1243C2×C4⋊C4—111no—
1244C2×C4⋊C4—111no—
1245C2×C4⋊C4—111no—
1246C2×C4⋊C4—111no—
1247C2×C4⋊C4—111no—
1248C2×C4⋊C4—111no—
1249C2×C4⋊C4—111no—
1250C2×C4⋊C4—221no—
1251C2×C4⋊C4—221no—
1252C2×C4⋊C4—221no—
1253C2×C4⋊C4—221no—
1254C2×C4⋊C4—221no—
1255C2×C4⋊C4—221no—
1256C2×C4⋊C4—221no—
1257C2×C4⋊C4C22×D1111yescharacteristic
1258C2×C4⋊C4C22×D1111yescharacteristic
1259C2×C4⋊C4C22×D1111yescharacteristic
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—221no—
1263C2×C22⋊C4—221no—
1264C2×C22⋊C4—221no—
1265C2×C22⋊C4—221no—
1266C2×C22⋊C4—221no—
1267C2×C42—111no—
1268C2×C42—221no—
1269C2×C42—221no—
1270C2×C42—221no—
1271#107—111no—
1272#107—111no—
1273#107—111no—
1274#107—111no—
1275#107—111no—
1276#107—111no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107—111no—
1286#107C22×D1111yescharacteristic
1287#107C22×D1111yescharacteristic
1288#107C22×D1111yescharacteristic
1289#106—111no—
1290#106—111no—
1291#106—111no—
1292#106—111no—
1293#106—111no—
1294#106—111no—
1295#106—111no—
1296#106—111no—
1297#106—111no—
1298#106—111no—
1299#106—111no—
1300#106—111no—
1301#106C22×D1111yescharacteristic
1302#106C22×D1111yescharacteristic
1303#106C22×D1111yescharacteristic
1304#106C22×D1111yescharacteristic
1305#106C22×D1111yescharacteristic
1306#106C22×D1111yescharacteristic
1307C4⋊C8—111no—
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8C22×D1111yescharacteristic
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331#102C22×D1111yescharacteristic
1332#102C22×D1111yescharacteristic
1333#102C22×D1111yescharacteristic
1334#102C22×D1111yescharacteristic
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337C22⋊C8—111no—
1338C22⋊C8—111no—
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8C22×D1111yescharacteristic
1342C22⋊C8C22×D1111yescharacteristic
1343#97—111no—
1344#97C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C2×C11—22no—
1348C2×C11—41no—
1349C2×C11—81no—
1350C2×C11—81no—
1351C2×C11C2×#54711yescharacteristic
1352C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1353C2×C11#358611yescharacteristic
1354D11—22no—
1355D11—22no—
1356D11—41no—
1357D11—81no—
1358C24—111no—
1359C24—111no—
1360C24—221no—
1361#41—44no—
1362#41—222no—
1363#41—222no—
1364#41—444no—
1365#41—444no—
1366#41—444no—
1367#41—444no—
1368#41—444no—
1369#41—444no—
1370#41—444no—
1371#41—444no—
1372C2×Q8—21no—
1373C2×Q8—111no—
1374C2×Q8—221no—
1375C2×Q8—221no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—444no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—111no—
1385C2×D4—111no—
1386C2×D4—111no—
1387C2×D4—111no—
1388C2×D4—221no—
1389C2×D4—221no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—221no—
1393C2×D4—224no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—444no—
1402C2×D4—444no—
1403C2×D4D4×D1111yescharacteristic
1404C2×D4C23×D1111yescharacteristic
1405C2×D4C23×D1111yescharacteristic
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—222no—
1425C22×C4—222no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—444no—
1444C22×C4—444no—
1445C22×C4—444no—
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448SD16—222no—
1449SD16—222no—
1450D8—22no—
1451D8—222no—
1452M16—22no—
1453M16—114no—
1454M16—222no—
1455M16—222no—
1456M16—222no—
1457M16—222no—
1458M16—222no—
1459M16—222no—
1460C2×C8—22no—
1461C2×C8—111no—
1462C2×C8—111no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—222no—
1466C2×C8—222no—
1467C2×C8—222no—
1468C2×C8C23×D1111yescharacteristic
1469C2×C8C23×D1111yescharacteristic
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
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—221no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4D4×D1111yescharacteristic
1513C4⋊C4C23×D1111yescharacteristic
1514C4⋊C4C23×D1111yescharacteristic
1515C4⋊C4C23×D1111yescharacteristic
1516C4⋊C4C23×D1111yescharacteristic
1517C4⋊C4C23×D1111yescharacteristic
1518C4⋊C4C23×D1111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—111no—
1527C22⋊C4—111no—
1528C22⋊C4—111no—
1529C22⋊C4—111no—
1530C22⋊C4—111no—
1531C22⋊C4—111no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4D4×D1111yescharacteristic
1555C22⋊C4D4×D1111yescharacteristic
1556C42—21no—
1557C42—111no—
1558C42—111no—
1559C42—111no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42C23×D1111yescharacteristic
1569C11#6125211yescharacteristic, complemented, Sylow
1570C23—21no—
1571C23—21no—
1572C23—111no—
1573C23—111no—
1574C23—111no—
1575C23—222no—
1576C23—222no—
1577C23—222no—
1578C23—222no—
1579C23—221no—
1580C23—441no—
1581C23—441no—
1582C23—442no—
1583C23—442no—
1584C23—442no—
1585C23C2×D4×D1111yescharacteristic
1586C23C2×D4×D1111yescharacteristic
1587Q8—42no—
1588Q8—221no—
1589Q8—221no—
1590Q8—442no—
1591Q8—442no—
1592Q8—442no—
1593Q8—442no—
1594Q8—881no—
1595D4—22no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—114no—
1605D4—222no—
1606D4—222no—
1607D4—221no—
1608D4—221no—
1609D4—442no—
1610D4—442no—
1611D4—442no—
1612D4—442no—
1613D4—442no—
1614D4—442no—
1615D4—442no—
1616D4—442no—
1617D4—442no—
1618D4—881no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—111no—
1635C2×C4—111no—
1636C2×C4—112no—
1637C2×C4—112no—
1638C2×C4—111no—
1639C2×C4—111no—
1640C2×C4—111no—
1641C2×C4—222no—
1642C2×C4—222no—
1643C2×C4—222no—
1644C2×C4—222no—
1645C2×C4—222no—
1646C2×C4—222no—
1647C2×C4—222no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—441no—
1660C2×C4—442no—
1661C2×C4—442no—
1662C2×C4—442no—
1663C2×C4—442no—
1664C2×C4—442no—
1665C2×C4—442no—
1666C2×C4—442no—
1667C2×C4—442no—
1668C2×C4—442no—
1669C2×C4—442no—
1670C2×C4—442no—
1671C2×C4—442no—
1672C2×C4—442no—
1673C2×C4—442no—
1674C2×C4—442no—
1675C2×C4—442no—
1676C2×C4—881no—
1677C2×C4C2×D4×D1111yescharacteristic
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C24×D1111yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—112no—
1686C8—221no—
1687C8—221no—
1688C8—221no—
1689C8#41×D1112yescomplemented
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—112no—
1702C22—112no—
1703C22—221no—
1704C22—221no—
1705C22—221no—
1706C22—221no—
1707C22—221no—
1708C22—221no—
1709C22—221no—
1710C22—444no—
1711C22—444no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—884no—
1716C22D11×AGL(1,ℤ/8)12yes—
1717C22C22×D4×D1111yescharacteristic
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—21no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—112no—
1729C4—112no—
1730C4—221no—
1731C4—221no—
1732C4—221no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4C2×#41×D1111yescharacteristic
1741C4D11×2−1+411yescharacteristic
1742C2—22no—
1743C2—41no—
1744C2—81no—
1745C2—81no—
1746C2—222no—
1747C2—222no—
1748C2—441no—
1749C2—881no—
1750C2D11×#54711yescharacteristic
1751C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1752C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3345C2
socleC22×C11C23×D4
hypercenter#3345D11
hypocenterC11#61252
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #13082175C2semidirect
2. D11×#547C2semidirect
3. #13081206C2semidirect
4. #13081204C2semidirect
5. #13081198C2semidirect
6. #13081196C2semidirect
7. #13081093C2semidirect
8. #13081091C2semidirect
9. #13081080C2semidirect
10. #13081063C2semidirect
11. #13081058C2semidirect
12. #13081055C2semidirect
13. #13081050C2semidirect
14. #13080971C2semidirect
15. #13080969C2semidirect
16. #13080960C2semidirect
17. #13080958C2semidirect
18. #13079161C2semidirect
19. #13078555C2semidirect
20. #13078553C2semidirect
21. #13078538C2semidirect
22. #13078535C2semidirect
23. #13078428C2semidirect
24. #13078411C2semidirect
25. #13078234C2semidirect
26. #13078232C2semidirect
27. #13077427C2semidirect
28. #13077349C2semidirect
29. C2×#10622474C2semidirect
30. D11×#428C2semidirect
31. C11×#3345C2semidirect
33. C11×#553C22semidirect
43. #10623225C22semidirect
53. #10623147C22semidirect
56. #10623142C22semidirect
63. #10623089C22semidirect
69. #10623072C22semidirect
72. #10623064C22semidirect
74. #10623042C22semidirect
80. C11×#501C22semidirect
81. C11×#482C22semidirect
82. C11×#481C22semidirect
83. C11×#481C22semidirect
84. C11×#480C22semidirect
85. C11×#478C22semidirect
86. C11×#476C22semidirect
87. C11×#469C22semidirect
88. C11×#466C22semidirect
89. C11×#442C22semidirect
90. C11×#435C22semidirect
91. C11×#428C22semidirect
92. C2×C11×#106C22semidirect
93. #10622772C22semidirect
94. #10622770C22semidirect
95. D8×Dic11C22semidirect
96. #10622747C22semidirect
97. #10622741C22semidirect
98. #10622734C22semidirect
99. #10622727C22semidirect
100. C8×C22⋊D11C22semidirect
101. C2×#66882C22semidirect
102. #10622704C22semidirect
103. #10622693C22semidirect
104. #10622679C22semidirect
105. #10622678C22semidirect
106. #10622655C22semidirect
107. #10622654C22semidirect
108. #10622652C22semidirect
109. #10622651C22semidirect
110. #10622648C22semidirect
111. #10622647C22semidirect
112. #10622646C22semidirect
113. #10622646C22semidirect
114. #10622631C22semidirect
115. #10622627C22semidirect
116. #10622624C22semidirect
117. #10622622C22semidirect
118. #10622621C22semidirect
119. #10622616C22semidirect
120. #10622608C22semidirect
121. #10622584C22semidirect
122. #10622583C22semidirect
123. #10622581C22semidirect
124. #10622577C22semidirect
125. C2×#66872C22semidirect
126. C2×#66871C22semidirect
127. #10622503C22semidirect
128. #10622499C22semidirect
129. #10622497C22semidirect
130. #10622497C22semidirect
131. #10622495C22semidirect
135. D11×#107C22semidirect
136. D11×#107C22semidirect
137. #10622487C22semidirect
138. #10622487C22semidirect
139. #10622483C22semidirect
140. #10622479C22semidirect
141. #10622479C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622475C22semidirect
145. #10622475C22semidirect
152. #10622474C22semidirect
153. #10622474C22semidirect
154. #10622474C22semidirect
155. #10622474C22semidirect
156. D11×#106C22semidirect
157. D11×#106C22semidirect
158. #10622468C22semidirect
159. #10622468C22semidirect
160. #10622467C22semidirect
161. #10622467C22semidirect
162. #10622465C22semidirect
163. #10622463C22semidirect
164. #10622460C22semidirect
166. #10622449C22semidirect
167. #10622397C22semidirect
168. #10622397C22semidirect
169. #10622395C22semidirect
170. #10622393C22semidirect
171. #10622391C22semidirect
172. #10622390C22semidirect
173. #10622390C22semidirect
174. #10622390C22semidirect
175. #10622388C22semidirect
176. #10622387C22semidirect
177. #10622387C22semidirect
178. #10622387C22semidirect
185. #10622374C22semidirect
186. #10622372C22semidirect
187. #10622372C22semidirect
188. #10622372C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622349C22semidirect
193. #10622342C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622335C22semidirect
198. #10622334C22semidirect
199. #10622323C22semidirect
201. #10622319C22semidirect
202. #10622315C22semidirect
691. #4313#41semidirect
703. #3345D11semidirect
781. C22⋊D11AGL(1,ℤ/8)semidirect
840. C8×C11C2×#41semidirect
844. C11⋊C8C2×#41semidirect
853. #553C2×D11semidirect
896. #501C2×D11semidirect
916. #482C2×D11semidirect
923. #481C2×D11semidirect
924. #481C2×D11semidirect
932. #480C2×D11semidirect
936. #478C2×D11semidirect
942. #476C2×D11semidirect
952. #469C2×D11semidirect
960. #466C2×D11semidirect
966. #442C2×D11semidirect
978. #435C2×D11semidirect
997. #428C2×D11semidirect
1005. C2×#106C2×D11semidirect
1569. C11#61252semidirect
1689. C8#41×D11semidirect

Maximal subgroups

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

subgroupindex
#130821752
D11×#5472
#130812062
#130812042
#130811982
#130811962
#130810932
#130810912
#130810802
#130810632
#130810582
#130810552
#130810502
#130809712
#130809692
#130809602
#130809582
#130791612
#130785552
#130785532
#130785382
#130785352
#130784282
#130784112
#130782342
#130782322
#130774272
#130773492
C2×#106224742
D11×#4282
C11×#33452
#6125211