Finite Group Databasebeta

← #15636654

Subgroups — #15636654

Order 2816.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082615C211yesmaximal, characteristic, complemented
2#13082573C211yesmaximal, characteristic, complemented
3#13081659C211yesmaximal, characteristic, complemented
4#13081534C211yesmaximal, characteristic, complemented
5#13081315C211yesmaximal, characteristic, complemented
6#13081250C211yesmaximal, characteristic, complemented
7#13081196C211yesmaximal, characteristic, complemented
8#13081112C211yesmaximal, characteristic, complemented
9#13080564C211yesmaximal, characteristic, complemented
10#13080560C211yesmaximal, characteristic, complemented
11#13080553C211yesmaximal, characteristic, complemented
12#13080469C211yesmaximal, characteristic, complemented
13#13080460C211yesmaximal, characteristic, complemented
14#13080427C211yesmaximal, characteristic, complemented
15#13080233C211yesmaximal, characteristic, complemented
16#13080161C211yesmaximal, characteristic, complemented
17#13080153C211yesmaximal, characteristic, complemented
18#13079304C211yesmaximal, characteristic, complemented
19#13079300C211yesmaximal, characteristic, complemented
20#13079190C211yesmaximal, characteristic, complemented
21#13078883C211yesmaximal, characteristic, complemented
22#13078873C211yesmaximal, characteristic, complemented
23#13078861C211yesmaximal, characteristic, complemented
24#13078855C211yesmaximal, characteristic, complemented
25#13078762C211yesmaximal, characteristic, complemented
26#13078762C211yesmaximal, characteristic, complemented
27#13077586C211yesmaximal, characteristic, complemented
28#13077446C211yesmaximal, characteristic, complemented
29#13077445C211yesmaximal, characteristic, complemented
30#13077387C211yesmaximal, characteristic, complemented
31C11×#3347C211yesmaximal, characteristic, complemented
32C11×#555C2211yescharacteristic
33C11×#553C2211yescharacteristic, complemented
34C2×#66964C2211yescharacteristic
35C2×#66961C2211yescharacteristic
36C2×#66957C2211yescharacteristic
37#10623264C2211yescharacteristic
38#10623258C2211yescharacteristic
39#10623240—21no—
40#10623237—21no—
41#10623229C2211yescharacteristic, complemented
42#10623216C2211yescharacteristic, complemented
43#10623210—21no—
44#10623209—21no—
45#10623208—21no—
46D11×#124—21no—
47#10623194—21no—
48#10623186—21no—
49#10623150C2211yescharacteristic, complemented
50#10623146—21no—
51#10623144—21no—
52#10623143C2211yescharacteristic
53#10623141—21no—
54#10623140C2211yescharacteristic
55#10623134C2211yescharacteristic
56#10623130—21no—
57#10623130C2211yescharacteristic
58#10623130C2211yescharacteristic, complemented
59#10623127C2211yescharacteristic
60#10623127C2211yescharacteristic, complemented
61#10623090C2211yescharacteristic
62#10623084C2211yescharacteristic, complemented
63#10623084C2211yescharacteristic, complemented
64#10623081C2211yescharacteristic
65#10623079—21no—
66#10623077C2211yescharacteristic, complemented
67#10623076C2211yescharacteristic
68#10623071—21no—
69#10623069C2211yescharacteristic
70#10623064C2211yescharacteristic
71#10623063C2211yescharacteristic
72#10623061C2211yescharacteristic, complemented
73#10623059—21no—
74#10623058—21no—
75#10623053C2211yescharacteristic
76#10623053C2211yescharacteristic, complemented
77#10623052C2211yescharacteristic
78#10623038C2211yescharacteristic
79#10623035C2211yescharacteristic, complemented
80C11×#501C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic
85C11×#478C2211yescharacteristic, complemented
86C11×#474C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic
88C11×#466C2211yescharacteristic, complemented
89C11×#442C2211yescharacteristic, complemented
90C11×#435C2211yescharacteristic, complemented
91C11×#428C2211yescharacteristic, complemented
92C11×#427C2211yescharacteristic, complemented
93#10622767C2211yescharacteristic, complemented
94#10622764C2211yescharacteristic
95D8×Dic11C2211yescharacteristic, complemented
96#10622747C2211yescharacteristic, complemented
97#10622741C2211yescharacteristic
98#10622735C2211yescharacteristic, complemented
99#10622728C2211yescharacteristic, complemented
100#10622724C2211yescharacteristic, complemented
101C2×C8×Dic11C2211yescharacteristic, complemented
102#10622704C2211yescharacteristic, complemented
103#10622701C2211yescharacteristic, complemented
104#10622681C2211yescharacteristic, complemented
105#10622679C2211yescharacteristic
106#10622654C2211yescharacteristic, complemented
107#10622651C2211yescharacteristic
108#10622651C2211yescharacteristic, complemented
109#10622651C2211yescharacteristic, complemented
110#10622650C2211yescharacteristic
111#10622650C2211yescharacteristic
112#10622650C2211yescharacteristic, complemented
113#10622649C2211yescharacteristic
114C4×#4324C2211yescharacteristic, complemented
115#10622629C2211yescharacteristic, complemented
116#10622628C2211yescharacteristic, complemented
117C4×#4323C2211yescharacteristic
118D4×C11⋊C8C2211yescharacteristic, complemented
119#10622616C2211yescharacteristic, complemented
120#10622616C2211yescharacteristic, complemented
121#10622616C2211yescharacteristic, complemented
122#10622615C2211yescharacteristic
123#10622615C2211yescharacteristic, complemented
124#10622615C2211yescharacteristic, complemented
125#10622583C2211yescharacteristic, complemented
126C2×#66873C2211yescharacteristic
127#10622504C2211yescharacteristic, complemented
128#10622503C2211yescharacteristic
129#10622503C2211yescharacteristic, complemented
130#10622503C2211yescharacteristic, complemented
131#10622502C2211yescharacteristic
132#10622502C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622499C2211yescharacteristic, complemented
135#10622498C2211yescharacteristic, complemented
136#10622497C2211yescharacteristic, complemented
137#10622496C2211yescharacteristic
138#10622495C2211yescharacteristic
139#10622488C2211yescharacteristic, complemented
140#10622487C2211yescharacteristic, complemented
141#10622486C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622485C2211yescharacteristic
144#10622485C2211yescharacteristic
145#10622485C2211yescharacteristic
146#10622485C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic
148#10622482C2211yescharacteristic
149#10622482C2211yescharacteristic, complemented
150#10622482C2211yescharacteristic, complemented
151#10622479C2211yescharacteristic, complemented
152#10622478C2211yescharacteristic
153#10622477C2211yescharacteristic, complemented
154#10622474C2211yescharacteristic, complemented
155#10622469C2211yescharacteristic, complemented
156#10622467C2211yescharacteristic, complemented
157#10622467C2211yescharacteristic, complemented
158#10622465C2211yescharacteristic
159#10622465C2211yescharacteristic
160#10622465C2211yescharacteristic, complemented
161#10622465C2211yescharacteristic, complemented
162#10622465C2211yescharacteristic, complemented
163#10622458C2211yescharacteristic, complemented
164#10622456C2211yescharacteristic
165#10622453C2211yescharacteristic, complemented
166#10622443C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622399C2211yescharacteristic
169#10622399C2211yescharacteristic
170#10622399C2211yescharacteristic
171#10622399C2211yescharacteristic, complemented
172#10622398C2211yescharacteristic
173#10622398C2211yescharacteristic, complemented
174#10622396C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic
176#10622386C2211yescharacteristic
177#10622386C2211yescharacteristic
178#10622385C2211yescharacteristic, complemented
179D11×#102C2211yescharacteristic
180#10622381C2211yescharacteristic, complemented
181#10622380C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic
183#10622375C2211yescharacteristic, complemented
184#10622373C2211yescharacteristic
185#10622373C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622370C2211yescharacteristic, complemented
188#10622370C2211yescharacteristic, complemented
189#10622369C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic
195(C22⋊D11)⋊C8C2211yescharacteristic
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic
201#10622321C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×Q8×D11—21no—
204C2×#4341—21no—
205C2×#4341—21no—
206C2×#4341C2311yescharacteristic
207C2×D4×D11—21no—
208C2×D4×D11C2311yescharacteristic
209C2×#4339—21no—
210C2×#4339—21no—
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C2×C11×D8C2311yescharacteristic
216C2×C11×M16C2311yescharacteristic
217C22×C8×C11C2311yescharacteristic
218C11×C4⋊Q8C2311yescharacteristic
219C11×#126—21no—
220C11×#125C2311yescharacteristic
221C11×#124—21no—
222C11×#124—21no—
223C11×#123—21no—
224C11×#121—21no—
225C11×#121—21no—
226C11×#121C2311yescharacteristic
227C11×#121C2311yescharacteristic
228C11×#121C2311yescharacteristic
229C11×#121C2311yescharacteristic
230C4×D4×C11—21no—
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C11×#117—21no—
235C11×#117C2311yescharacteristic
236C11×#117C2311yescharacteristic
237C11×#117C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239#67000—21no—
240#66999—21no—
241#66999—21no—
242#66993—21no—
243#66993—21no—
244#66993—21no—
245#66993C2311yescharacteristic
246#66993C2311yescharacteristic
247#66993C2311yescharacteristic
248#66992—21no—
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66992—21no—
253#66992D411yescharacteristic
254#66991—21no—
255#66991—21no—
256#66990—21no—
257#66990—21no—
258#66990—21no—
259#66989—21no—
260#66989C2311yescharacteristic
261#66988—21no—
262#66988D411yescharacteristic
263D4×Dic11C2311yescharacteristic
264D4×Dic11C2311yescharacteristic
265C2×#4324C2311yescharacteristic
266C2×#4324C2311yescharacteristic
267C2×#4323C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271#66983—21no—
272#66983C2311yescharacteristic
273#66983C2311yescharacteristic
274#66983C2311yescharacteristic
275#66982—21no—
276#66982—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11C2311yescharacteristic
283C4×C22⋊D11C2311yescharacteristic
284C2×(C2×D11)⋊C4—21no—
285#66979C2311yescharacteristic
286#66977C2311yescharacteristic
287C2×Dic11⋊C4—21no—
288C2×C4×Dic11C2311yescharacteristic
289C22×C11⋊C8C2311yescharacteristic
290C22×C11⋊C8C2311yescharacteristic
291#66964—24no—
292#66961—24no—
293C2×Dic44C2311yescharacteristic
294#66957—24no—
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×D88C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305#66951—21no—
306#66951D411yescharacteristic
307#66950C2311yescharacteristic
308#66949—21no—
309#66949—21no—
310#66949—21no—
311#66948—21no—
312#66948—21no—
313#66948C2311yescharacteristic
314#66948C2311yescharacteristic
315#66948C2311yescharacteristic
316#66947—21no—
317#66947—21no—
318#66947—21no—
319#66947—21no—
320#66947—21no—
321#66946—21no—
322#66946C2311yescharacteristic
323#66946C2311yescharacteristic
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic
326#66946C2311yescharacteristic
327#66946C2311yescharacteristic
328#66946C2311yescharacteristic
329#66946C2311yescharacteristic
330#66946C2311yescharacteristic
331#66945—21no—
332#66945C2311yescharacteristic
333C4⋊C4×D11—21no—
334C4⋊C4×D11C2311yescharacteristic
335#66943C2311yescharacteristic
336#66942—21no—
337#66942—21no—
338#66942D411yescharacteristic
339#66941—21no—
340#66941C2311yescharacteristic
341#66941C2311yescharacteristic
342#66941C2311yescharacteristic
343#66940—21no—
344#66940C2311yescharacteristic
345#66940C2311yescharacteristic
346#66940C2311yescharacteristic
347#66940C2311yescharacteristic
348#66940C2311yescharacteristic
349#66939—21no—
350#66939D411yescharacteristic
351#66938—21no—
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66938D411yescharacteristic
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66935—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387#66932—21no—
388#66932—21no—
389#66932D411yescharacteristic
390#66931—21no—
391#66931D411yescharacteristic
392#66930—21no—
393#66929—21no—
394#66929—21no—
395#66928—21no—
396#66928C2311yescharacteristic
397#66927C2311yescharacteristic
398C4×D44—21no—
399C4×D44—21no—
400C4×D44—21no—
401C4×D44C2311yescharacteristic
402#66925—21no—
403#66925—21no—
404#66925—21no—
405#66925C2311yescharacteristic
406C42×D11—21no—
407C42×D11—21no—
408C4×Dic22—21no—
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#107C2311yescharacteristic
415C11×#107C2311yescharacteristic
416C11×#106C2311yescharacteristic
417C11×#106C2311yescharacteristic
418C11×#106C2311yescharacteristic
419C11×#106C2311yescharacteristic
420C11×C4⋊C8C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×C22⋊C8C2311yescharacteristic
429C11×#97C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432C22⋊(C11⋊C8)C2311yescharacteristic
433C22⋊(C11⋊C8)C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438(C2×D11)⋊C8C2311yescharacteristic
439(C2×D11)⋊C8C2311yescharacteristic
440#66882C2311yescharacteristic
441#66880C2311yescharacteristic
442#66880C2311yescharacteristic
443#66879C2311yescharacteristic
444#66879C2311yescharacteristic
445#66879C2311yescharacteristic
446Dic11⋊C8C2311yescharacteristic
447Dic11⋊C8C2311yescharacteristic
448Dic11⋊C8C2311yescharacteristic
449Dic11⋊C8C2311yescharacteristic
450C8×Dic11C2311yescharacteristic
451C8×Dic11C2311yescharacteristic
452C8×Dic11C2311yescharacteristic
453C8×Dic11C2311yescharacteristic
454C8×Dic11C2311yescharacteristic
455#66874C2311yescharacteristic
456#66874C2311yescharacteristic
457#66874C2311yescharacteristic
458#66874C2311yescharacteristic
459#66874C2311yescharacteristic
460#66874C2311yescharacteristic
461#66873C2311yescharacteristic
462#66873C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61494—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C2×Q8×C11—21no—
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11C2×D411yescharacteristic
490C2×D4×C11C2411yescharacteristic
491C2×D4×C11C2411yescharacteristic
492C22×C4×C11—21no—
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11C2411yescharacteristic
496C22×C4×C11C2411yescharacteristic
497C2×C22⋊D11—21no—
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
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⋊D11—21no—
511C2×C22⋊D11C2×D411yescharacteristic
512C2×C22⋊D11C2×D411yescharacteristic
513C22×Dic11—21no—
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11C2×D411yescharacteristic
517C22×Dic11C2×D411yescharacteristic
518Q8×D11—82no—
519#4341—22no—
520#4341—41no—
521#4341—82no—
522#4341—82no—
523D4×D11—22no—
524D4×D11—41no—
525D4×D11—82no—
526#4339—22no—
527#4339—22no—
528#4339—22no—
529#4339—41no—
530#4339—41no—
531#4339—41no—
532#4339—82no—
533#4339—82no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—22no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—41no—
542C2×D44C2411yescharacteristic
543C2×D44C2411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
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—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11C2411yescharacteristic
561C2×Dic22—21no—
562C2×Dic22—21no—
563C2×Dic22—21no—
564C2×Dic22C2×D411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×D8—22no—
568C11×M16—22no—
569C2×C8×C11—22no—
570C2×C8×C11C2411yescharacteristic
571C2×C8×C11C2411yescharacteristic
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4C2×D411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C4⋊C4C2411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4C2×D411yescharacteristic
595C11×C22⋊C4C2×D411yescharacteristic
596C42×C11—21no—
597C42×C11—21no—
598C42×C11—21no—
599C42×C11C2411yescharacteristic
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11C2×D411yescharacteristic
606C22⋊Dic11C2×D411yescharacteristic
607C22⋊Dic11C2×D411yescharacteristic
608C22⋊Dic11C2×D411yescharacteristic
609#4324—22no—
610#4324—41no—
611#4323—22no—
612#4323—41no—
613#4323—41no—
614#4323—41no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
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)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11C2×D411yescharacteristic
642C4⋊Dic11C2×D411yescharacteristic
643C4⋊Dic11C2×D411yescharacteristic
644C4⋊Dic11C2411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
659Dic11⋊C4C2×D411yescharacteristic
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11C2×D411yescharacteristic
672C4×Dic11C2×D411yescharacteristic
673C4×Dic11C2411yescharacteristic
674C4×Dic11C2411yescharacteristic
675C4×Dic11C2411yescharacteristic
676C2×C11⋊C8—41no—
677C2×C11⋊C8—41no—
678C2×C11⋊C8C2411yescharacteristic
679C2×C11⋊C8C2411yescharacteristic
680C2×C11⋊C8C2411yescharacteristic
681C2×C11⋊C8C2411yescharacteristic
682Dic44—22no—
683D88—22no—
684D88—22no—
685D88—22no—
686D88—41no—
687#4314—22no—
688#4314—22no—
689#4314—41no—
690#4314#4114yescomplemented
691#4313—22no—
692C8×D11—41no—
693#3517—111no—
694#3514—111no—
695#3399—111no—
696#3386—111no—
697#3365—111no—
698#3358—111no—
699#3353—111no—
700#3347—111no—
701#3347D1111yescharacteristic, complemented
702#3305—111no—
703#3305—111no—
704#3304—111no—
705#3297—111no—
706#3297—111no—
707#3294—111no—
708#3274—111no—
709#3268—111no—
710#3268—111no—
711#3179—111no—
712#3179—111no—
713#3169—111no—
714#3124—111no—
715#3124—111no—
716#3122—111no—
717#3122—111no—
718#3115—111no—
719#3115—111no—
720#2966—111no—
721#2946—111no—
722#2946—111no—
723C4×#135—111no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11C22×D411yescharacteristic
727C23×C11C22×D411yescharacteristic
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—42no—
733C22×D11—42no—
734C22×D11—81no—
735C22×D11—81no—
736C22×D11—81no—
737C22×D11—81no—
738C22×D11C22×D411yescharacteristic
739Q8×C11—81no—
740D4×C11—21no—
741D4×C11—21no—
742D4×C11—21no—
743D4×C11—21no—
744D4×C11—41no—
745D4×C11—81no—
746D4×C11—81no—
747D4×C11—81no—
748D4×C11—81no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
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—81no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C2511yescharacteristic
767C22⋊D11—22no—
768C22⋊D11—41no—
769C22⋊D11—42no—
770C22⋊D11—42no—
771C22⋊D11—42no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C2×Dic11—21no—
784C2×Dic11—22no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—41no—
789C2×Dic11—42no—
790C2×Dic11—81no—
791C2×Dic11—81no—
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799D44—21no—
800D44—21no—
801D44—21no—
802D44—21no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—42no—
807D44—81no—
808D44—81no—
809D44—81no—
810D44—81no—
811D44—81no—
812D44C2×#4112yes—
813C4×D11—21no—
814C4×D11—21no—
815C4×D11—42no—
816C4×D11—42no—
817C4×D11—42no—
818C4×D11—42no—
819C4×D11—42no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829Dic22—21no—
830Dic22—22no—
831Dic22—21no—
832Dic22—21no—
833Dic22—42no—
834Dic22—42no—
835Dic22—81no—
836Dic22C2×#4112yes—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11C2×#4112yes—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C2×AGL(1,ℤ/8)—111no—
846C2×AGL(1,ℤ/8)—111no—
847C2×#135—111no—
848#559—111no—
849#557—111no—
850#556—111no—
851#555—111no—
852#555C2×D1111yescharacteristic
853#553—111no—
854#553—221no—
855#553—221no—
856#553C2×D1111yescharacteristic, complemented
857#551—221no—
858#551—221no—
859#550—111no—
860#550—111no—
861#550—111no—
862#550—111no—
863#550—221no—
864D4×Q8—111no—
865#548—221no—
866#547—111no—
867#547—221no—
868#546—111no—
869#546—111no—
870#546—221no—
871D42—111no—
872#542—111no—
873#542—111no—
874#540—111no—
875#540—111no—
876#540—221no—
877#540—221no—
878#538—221no—
879#538—221no—
880#532—111no—
881#532—111no—
882#532—221no—
883#529—111no—
884#529—221no—
885#529—221no—
886C2×#124—221no—
887#520—111no—
888#520—111no—
889#518—111no—
890#518—111no—
891C4×#41—111no—
892C4×#41—111no—
893#501—111no—
894#501C2×D1111yescharacteristic, complemented
895#500—111no—
896#496—111no—
897#496—111no—
898#493—111no—
899#488—111no—
900#488—111no—
901#486—111no—
902#486—111no—
903#486—111no—
904#486—111no—
905#484—111no—
906#484—111no—
907#482—111no—
908#482—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482C2×D1111yescharacteristic, complemented
913#482C2×D1111yescharacteristic, complemented
914#482C2×D1111yescharacteristic, complemented
915#480—111no—
916#480C2×D1111yescharacteristic
917#478—111no—
918#478—111no—
919#478—111no—
920#478C2×D1111yescharacteristic, complemented
921#477—111no—
922#477—111no—
923#475—111no—
924#475—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#474C2×D1111yescharacteristic, complemented
929#469—111no—
930#469C2×D1111yescharacteristic
931#468—111no—
932#468—111no—
933#466—111no—
934#466—111no—
935#466—111no—
936#466—111no—
937#466—111no—
938#466C2×D1111yescharacteristic, complemented
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#463—111no—
944#463—111no—
945#460—111no—
946#460—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459—111no—
952#459—111no—
953#452—111no—
954#452—111no—
955#449—111no—
956#449—111no—
957#449—111no—
958#449—111no—
959#449—111no—
960#449—111no—
961#447—111no—
962#447—111no—
963#447—111no—
964#447—111no—
965#446—111no—
966C8×Q8—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442—111no—
972#442C2×D1111yescharacteristic, complemented
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440—111no—
978#440—111no—
979C4×Q16—111no—
980C4×Q16—111no—
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16—111no—
986C4×SD16—111no—
987C4×D8—111no—
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992C4×D8—111no—
993C4×D8—111no—
994C4×D8—111no—
995#436—111no—
996#435—111no—
997#435C2×D1111yescharacteristic, complemented
998C8×D4—111no—
999C8×D4—111no—
1000C8×D4—111no—
1001#433—111no—
1002#433—111no—
1003#432—111no—
1004#428—111no—
1005#428C2×D1111yescharacteristic, complemented
1006#427C2×D1111yescharacteristic, complemented
1007#416—111no—
1008#416—111no—
1009#416—111no—
1010#416—111no—
1011C2×#102—111no—
1012C2×#102—111no—
1013#405—111no—
1014#405—111no—
1015C2×C4×C8—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—21no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11C23×D411yescharacteristic
1029C2×D11—21no—
1030C2×D11—22no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—162no—
1045C2×D11—162no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11C22×#4111yescharacteristic
1057C4×C11#58511yescharacteristic
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—22no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—21no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11#57612yes—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C22×Q8—221no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081AGL(1,ℤ/8)—224no—
1082AGL(1,ℤ/8)—224no—
1083#135—224no—
1084C2×Q16—111no—
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16—111no—
1090C2×SD16—111no—
1091C2×D8—111no—
1092C2×D8—111no—
1093C2×D8—111no—
1094C2×D8—111no—
1095C2×D8—111no—
1096C2×D8—111no—
1097C2×D8—111no—
1098C2×D8—111no—
1099C2×D8C22×D1111yescharacteristic
1100C2×M16—111no—
1101C2×M16C22×D1111yescharacteristic
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8C22×D1111yescharacteristic
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—221no—
1110C4⋊Q8C22×D1111yescharacteristic
1111#127—111no—
1112#127—111no—
1113#127—111no—
1114#127—111no—
1115#127—221no—
1116#127—221no—
1117#127—221no—
1118#126—21no—
1119#126—111no—
1120#126—111no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—221no—
1129#125—221no—
1130#125C22×D1111yescharacteristic
1131#124—21no—
1132#124—21no—
1133#124—111no—
1134#124—111no—
1135#124—111no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124—221no—
1144#123—21no—
1145#123—111no—
1146#123—111no—
1147#123—221no—
1148#123—221no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160C22⋊Q8—111no—
1161C22⋊Q8—111no—
1162C22⋊Q8—111no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169#121—21no—
1170#121—21no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—221no—
1179#121—221no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121C22×D1111yescharacteristic
1199#121C22×D1111yescharacteristic
1200#121C22×D1111yescharacteristic
1201#121C22×D1111yescharacteristic
1202#120—221no—
1203#120—221no—
1204#120—221no—
1205#120—221no—
1206C4×Q8—111no—
1207C4×Q8—111no—
1208C4×Q8—111no—
1209C4×Q8—111no—
1210C4×Q8—111no—
1211C4×Q8—111no—
1212C4×Q8—111no—
1213C4×Q8—221no—
1214C4×Q8—221no—
1215C4×D4—21no—
1216C4×D4—111no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—111no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252#117—21no—
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—221no—
1257#117—221no—
1258#117—221no—
1259#117—221no—
1260#117—221no—
1261#117C22×D1111yescharacteristic
1262#117C22×D1111yescharacteristic
1263#117C22×D1111yescharacteristic
1264C2×C4⋊C4—111no—
1265C2×C4⋊C4—221no—
1266C2×C4⋊C4—221no—
1267C2×C4⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4—221no—
1269C2×C22⋊C4—221no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C42—111no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107C22×D1111yescharacteristic
1283#107C22×D1111yescharacteristic
1284#107C22×D1111yescharacteristic
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106C22×D1111yescharacteristic
1290#106C22×D1111yescharacteristic
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8C22×D1111yescharacteristic
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—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#102C22×D1111yescharacteristic
1326#102C22×D1111yescharacteristic
1327#102C22×D1111yescharacteristic
1328#102C22×D1111yescharacteristic
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8C22×D1111yescharacteristic
1336C22⋊C8C22×D1111yescharacteristic
1337#97—111no—
1338#97—111no—
1339#97—111no—
1340#97C22×D1111yescharacteristic
1341C4×C8—111no—
1342C4×C8—111no—
1343C4×C8—111no—
1344C4×C8—111no—
1345C4×C8—111no—
1346C4×C8—111no—
1347C2×C11—41no—
1348C2×C11—41no—
1349C2×C11—81no—
1350C2×C11—81no—
1351C2×C11D4×#4111yescharacteristic
1352C2×C11C2×#57611yescharacteristic
1353C2×C11#358411yescharacteristic
1354D11—41no—
1355D11—42no—
1356D11—81no—
1357D11—81no—
1358D11—81no—
1359C24—221no—
1360C24—221no—
1361#41—222no—
1362#41—222no—
1363#41—222no—
1364#41—222no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370#41—882no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—21no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—111no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—882no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—111no—
1386C2×D4—111no—
1387C2×D4—111no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—222no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—222no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—882no—
1416C2×D4D4×D1111yescharacteristic
1417C2×D4C23×D1111yescharacteristic
1418C2×D4C23×D1111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—221no—
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×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444Q16—222no—
1445SD16—114no—
1446SD16—222no—
1447SD16—222no—
1448SD16—222no—
1449SD16—441no—
1450SD16—441no—
1451D8—22no—
1452D8—222no—
1453D8—222no—
1454D8—222no—
1455D8—222no—
1456D8—441no—
1457D8—441no—
1458D8—441no—
1459D8—441no—
1460M16—22no—
1461M16—222no—
1462C2×C8—22no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—441no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
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—111no—
1488C4⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1504C4⋊C4C23×D1111yescharacteristic
1505C4⋊C4C23×D1111yescharacteristic
1506C4⋊C4C23×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
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—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1553C22⋊C4D4×D1111yescharacteristic
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—111no—
1558C42—111no—
1559C42—111no—
1560C42—111no—
1561C42—111no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42—221no—
1569C42C23×D1111yescharacteristic
1570C11#6149411yescharacteristic, complemented, Sylow
1571C23—21no—
1572C23—21no—
1573C23—111no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—442no—
1579C23—442no—
1580C23—881no—
1581C23—881no—
1582C23—881no—
1583C23—881no—
1584C23C2×D4×D1111yescharacteristic
1585C23C2×D4×D1111yescharacteristic
1586Q8—81no—
1587Q8—112no—
1588Q8—222no—
1589Q8—221no—
1590Q8—221no—
1591Q8—221no—
1592Q8—442no—
1593Q8—442no—
1594Q8—881no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—112no—
1605D4—222no—
1606D4—221no—
1607D4—221no—
1608D4—221no—
1609D4—221no—
1610D4—221no—
1611D4—221no—
1612D4—221no—
1613D4—442no—
1614D4—442no—
1615D4—442no—
1616D4—441no—
1617D4—442no—
1618D4—442no—
1619D4—442no—
1620D4—442no—
1621D4—442no—
1622D4—881no—
1623D4—881no—
1624D4—881no—
1625D4—881no—
1626D4—881no—
1627D4—881no—
1628D4—881no—
1629D4—881no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4—881no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—111no—
1648C2×C4—111no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—222no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—442no—
1662C2×C4—442no—
1663C2×C4—442no—
1664C2×C4—442no—
1665C2×C4—442no—
1666C2×C4—441no—
1667C2×C4—442no—
1668C2×C4—881no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C24×D1111yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—221no—
1688C8—221no—
1689C8—221no—
1690C8—221no—
1691C8#41×D1112yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—221no—
1705C22—221no—
1706C22—222no—
1707C22—221no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—1762no—
1720C22—1762no—
1721C22C22×D4×D1111yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—112no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—222no—
1737C4—221no—
1738C4—221no—
1739C4—221no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#41×D1111yescharacteristic
1744C4#1062345711yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—441no—
1750C2—442no—
1751C2—881no—
1752C2—881no—
1753C2—881no—
1754C2#1308210311yescharacteristic
1755C2D11×#57611yescharacteristic
1756C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3347C2
socleC22×C11C23×D4
hypercenter#3347D11
hypocenterC11#61494
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #13082615C2semidirect
2. #13082573C2semidirect
3. #13081659C2semidirect
4. #13081534C2semidirect
5. #13081315C2semidirect
6. #13081250C2semidirect
7. #13081196C2semidirect
8. #13081112C2semidirect
9. #13080564C2semidirect
10. #13080560C2semidirect
11. #13080553C2semidirect
12. #13080469C2semidirect
13. #13080460C2semidirect
14. #13080427C2semidirect
15. #13080233C2semidirect
16. #13080161C2semidirect
17. #13080153C2semidirect
18. #13079304C2semidirect
19. #13079300C2semidirect
20. #13079190C2semidirect
21. #13078883C2semidirect
22. #13078873C2semidirect
23. #13078861C2semidirect
24. #13078855C2semidirect
25. #13078762C2semidirect
26. #13078762C2semidirect
27. #13077586C2semidirect
28. #13077446C2semidirect
29. #13077445C2semidirect
30. #13077387C2semidirect
31. C11×#3347C2semidirect
33. C11×#553C22semidirect
41. #10623229C22semidirect
42. #10623216C22semidirect
49. #10623150C22semidirect
58. #10623130C22semidirect
60. #10623127C22semidirect
62. #10623084C22semidirect
63. #10623084C22semidirect
66. #10623077C22semidirect
72. #10623061C22semidirect
76. #10623053C22semidirect
79. #10623035C22semidirect
80. C11×#501C22semidirect
81. C11×#482C22semidirect
82. C11×#482C22semidirect
83. C11×#482C22semidirect
85. C11×#478C22semidirect
86. C11×#474C22semidirect
88. C11×#466C22semidirect
89. C11×#442C22semidirect
90. C11×#435C22semidirect
91. C11×#428C22semidirect
92. C11×#427C22semidirect
93. #10622767C22semidirect
95. D8×Dic11C22semidirect
96. #10622747C22semidirect
98. #10622735C22semidirect
99. #10622728C22semidirect
100. #10622724C22semidirect
101. C2×C8×Dic11C22semidirect
102. #10622704C22semidirect
103. #10622701C22semidirect
104. #10622681C22semidirect
106. #10622654C22semidirect
108. #10622651C22semidirect
109. #10622651C22semidirect
112. #10622650C22semidirect
114. C4×#4324C22semidirect
115. #10622629C22semidirect
116. #10622628C22semidirect
118. D4×C11⋊C8C22semidirect
119. #10622616C22semidirect
120. #10622616C22semidirect
121. #10622616C22semidirect
123. #10622615C22semidirect
124. #10622615C22semidirect
125. #10622583C22semidirect
127. #10622504C22semidirect
129. #10622503C22semidirect
130. #10622503C22semidirect
132. #10622502C22semidirect
133. #10622502C22semidirect
134. #10622499C22semidirect
135. #10622498C22semidirect
136. #10622497C22semidirect
139. #10622488C22semidirect
140. #10622487C22semidirect
141. #10622486C22semidirect
142. #10622486C22semidirect
146. #10622485C22semidirect
149. #10622482C22semidirect
150. #10622482C22semidirect
151. #10622479C22semidirect
153. #10622477C22semidirect
154. #10622474C22semidirect
155. #10622469C22semidirect
156. #10622467C22semidirect
157. #10622467C22semidirect
160. #10622465C22semidirect
161. #10622465C22semidirect
162. #10622465C22semidirect
163. #10622458C22semidirect
165. #10622453C22semidirect
166. #10622443C22semidirect
167. #10622400C22semidirect
171. #10622399C22semidirect
173. #10622398C22semidirect
174. #10622396C22semidirect
178. #10622385C22semidirect
180. #10622381C22semidirect
181. #10622380C22semidirect
183. #10622375C22semidirect
185. #10622373C22semidirect
186. #10622373C22semidirect
187. #10622370C22semidirect
188. #10622370C22semidirect
189. #10622369C22semidirect
190. #10622369C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622325C22semidirect
201. #10622321C22semidirect
202. #10622314C22semidirect
690. #4314#41semidirect
701. #3347D11semidirect
856. #553C2×D11semidirect
894. #501C2×D11semidirect
912. #482C2×D11semidirect
913. #482C2×D11semidirect
914. #482C2×D11semidirect
920. #478C2×D11semidirect
928. #474C2×D11semidirect
938. #466C2×D11semidirect
972. #442C2×D11semidirect
997. #435C2×D11semidirect
1005. #428C2×D11semidirect
1006. #427C2×D11semidirect
1570. C11#61494semidirect

Maximal subgroups

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

subgroupindex
#130826152
#130825732
#130816592
#130815342
#130813152
#130812502
#130811962
#130811122
#130805642
#130805602
#130805532
#130804692
#130804602
#130804272
#130802332
#130801612
#130801532
#130793042
#130793002
#130791902
#130788832
#130788732
#130788612
#130788552
#130787622
#130775862
#130774462
#130774452
#130773872
C11×#33472
#6149411