Finite Group Databasebeta

← #15633925

Subgroups — #15633925

Order 2816.

1852 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082486C211yesmaximal, characteristic, complemented
2#13082436C211yesmaximal, characteristic, complemented
3#13081391C211yesmaximal, characteristic, complemented
4#13081386C211yesmaximal, characteristic, complemented
5#13081382C211yesmaximal, characteristic, complemented
6#13081379C211yesmaximal, characteristic, complemented
7#13081374C211yesmaximal, characteristic, complemented
8#13081369C211yesmaximal, characteristic, complemented
9#13081365C211yesmaximal, characteristic, complemented
10#13081362C211yesmaximal, characteristic, complemented
11#13081350C211yesmaximal, characteristic, complemented
12#13081348C211yesmaximal, characteristic, complemented
13#13081342C211yesmaximal, characteristic, complemented
14#13081341C211yesmaximal, characteristic, complemented
15#13081327C211yesmaximal, characteristic, complemented
16#13081324C211yesmaximal, characteristic, complemented
17#13081318C211yesmaximal, characteristic, complemented
18#13078971C211yesmaximal, characteristic, complemented
19#13078965C211yesmaximal, characteristic, complemented
20D11×#490C211yesmaximal, characteristic, complemented
21#13078446C211yesmaximal, characteristic, complemented
22#13078442C211yesmaximal, characteristic, complemented
23#13078433C211yesmaximal, characteristic, complemented
24#13078150C211yesmaximal, characteristic, complemented
25#13078150C211yesmaximal, characteristic, complemented
26#13078091C211yesmaximal, characteristic, complemented
27#13077552C211yesmaximal, characteristic, complemented
28#13077445C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30#13077413C211yesmaximal, characteristic, complemented
31C11×#3366C211yesmaximal, characteristic, complemented
32C11×#554C2211yescharacteristic, complemented
33C11×#550C2211yescharacteristic
34#10623363—21no—
35#10623360—21no—
36C2×#66965C2211yescharacteristic
37C2×#66964C2211yescharacteristic
38C2×#66964C2211yescharacteristic
39#10623260C2211yescharacteristic
40#10623252C2211yescharacteristic, complemented
41#10623249C2211yescharacteristic
42#10623249C2211yescharacteristic
43#10623246C2211yescharacteristic
44#10623246C2211yescharacteristic
45D11×#127C2211yescharacteristic
46#10623244C2211yescharacteristic
47#10623220C2211yescharacteristic
48D11×#125C2211yescharacteristic
49#10623216C2211yescharacteristic, complemented
50#10623216C2211yescharacteristic, complemented
51#10623167—21no—
52#10623167—21no—
53#10623166—21no—
54#10623154—21no—
55#10623154—21no—
56#10623153—21no—
57#10623146—21no—
58#10623146—21no—
59#10623143—21no—
60#10623141—21no—
61#10623141—21no—
62#10623127—21no—
63#10623116C2211yescharacteristic
64#10623109C2211yescharacteristic
65#10623098C2211yescharacteristic, complemented
66#10623090C2211yescharacteristic
67#10623090C2211yescharacteristic
68#10623084C2211yescharacteristic
69#10623077C2211yescharacteristic
70#10623077C2211yescharacteristic
71#10623076C2211yescharacteristic
72#10623076C2211yescharacteristic
73#10623074C2211yescharacteristic, complemented
74#10623070C2211yescharacteristic, complemented
75#10623070C2211yescharacteristic, complemented
76C4×#4341C2211yescharacteristic
77C4×#4341C2211yescharacteristic
78#10623042—21no—
79C2×#66942—21no—
80C11×#490C2211yescharacteristic
81C11×#490C2211yescharacteristic, complemented
82C11×#486C2211yescharacteristic, complemented
83C11×#478C2211yescharacteristic, complemented
84C11×#478C2211yescharacteristic, complemented
85C11×#476C2211yescharacteristic, complemented
86C11×#459C2211yescharacteristic
87C11×#459C2211yescharacteristic, complemented
88C11×#459C2211yescharacteristic, complemented
89C11×#446C2211yescharacteristic, complemented
90C11×#442C2211yescharacteristic, complemented
91C11×#442C2211yescharacteristic, complemented
92C4×C11×D8C2211yescharacteristic, complemented
93#10622766C2211yescharacteristic, complemented
94#10622766C2211yescharacteristic, complemented
95#10622765C2211yescharacteristic, complemented
96#10622765C2211yescharacteristic, complemented
97#10622763C2211yescharacteristic
98#10622763C2211yescharacteristic
99#10622763C2211yescharacteristic, complemented
100#10622763C2211yescharacteristic, complemented
101D8×Dic11C2211yescharacteristic, complemented
102#10622702C2211yescharacteristic, complemented
103#10622700C2211yescharacteristic, complemented
104#10622688C2211yescharacteristic
105#10622688C2211yescharacteristic, complemented
106#10622688C2211yescharacteristic, complemented
107#10622684C2211yescharacteristic
108#10622684C2211yescharacteristic, complemented
109#10622683C2211yescharacteristic, complemented
110#10622681C2211yescharacteristic, complemented
111#10622680C2211yescharacteristic
112#10622679C2211yescharacteristic, complemented
113#10622676C2211yescharacteristic, complemented
114#10622637C2211yescharacteristic, complemented
115#10622631C2211yescharacteristic, complemented
116#10622631C2211yescharacteristic, complemented
117#10622631C2211yescharacteristic, complemented
118C4×#4324C2211yescharacteristic, complemented
119#10622629C2211yescharacteristic, complemented
120#10622629C2211yescharacteristic, complemented
121#10622628C2211yescharacteristic
122#10622627C2211yescharacteristic, complemented
123C4×#4323C2211yescharacteristic, complemented
124#10622622C2211yescharacteristic, complemented
125#10622622C2211yescharacteristic, complemented
126#10622620C2211yescharacteristic, complemented
127#10622503C2211yescharacteristic, complemented
128#10622502C2211yescharacteristic, complemented
129#10622494C2211yescharacteristic
130#10622490C2211yescharacteristic, complemented
131#10622484C2211yescharacteristic, complemented
132#10622484C2211yescharacteristic, complemented
133#10622483C2211yescharacteristic, complemented
134#10622474C2211yescharacteristic
135#10622473C2211yescharacteristic
136#10622470C2211yescharacteristic, complemented
137#10622466C2211yescharacteristic, complemented
138#10622465C2211yescharacteristic, complemented
139#10622461C2211yescharacteristic
140#10622460C2211yescharacteristic, complemented
141#10622458C2211yescharacteristic, complemented
142#10622458C2211yescharacteristic, complemented
143#10622455C2211yescharacteristic, complemented
144#10622452C2211yescharacteristic
145#10622452C2211yescharacteristic
146#10622450C2211yescharacteristic
147#10622444C2211yescharacteristic, complemented
148#10622442C2211yescharacteristic, complemented
149#10622441C2211yescharacteristic, complemented
150#10622441C2211yescharacteristic, complemented
151#10622398C2211yescharacteristic, complemented
152#10622385C2211yescharacteristic
153#10622385C2211yescharacteristic
154#10622384C2211yescharacteristic
155#10622384C2211yescharacteristic
156#10622383C2211yescharacteristic
157#10622383C2211yescharacteristic
158D11×#102C2211yescharacteristic
159D11×#102C2211yescharacteristic
160D11×#102C2211yescharacteristic
161D11×#102C2211yescharacteristic
162#10622381C2211yescharacteristic, complemented
163#10622381C2211yescharacteristic, complemented
164#10622380C2211yescharacteristic, complemented
165#10622380C2211yescharacteristic, complemented
166#10622379C2211yescharacteristic, complemented
167#10622378C2211yescharacteristic, complemented
168#10622378C2211yescharacteristic, complemented
169#10622377C2211yescharacteristic
170#10622377C2211yescharacteristic
171#10622377C2211yescharacteristic
172#10622377C2211yescharacteristic
173#10622377C2211yescharacteristic, complemented
174#10622377C2211yescharacteristic, complemented
175#10622376C2211yescharacteristic, complemented
176#10622376C2211yescharacteristic, complemented
177#10622376C2211yescharacteristic, complemented
178#10622375C2211yescharacteristic
179#10622375C2211yescharacteristic
180#10622375C2211yescharacteristic, complemented
181#10622375C2211yescharacteristic, complemented
182#10622374C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic, complemented
184#10622373C2211yescharacteristic, complemented
185#10622372C2211yescharacteristic, complemented
186#10622371C2211yescharacteristic, complemented
187#10622370C2211yescharacteristic, complemented
188#10622370C2211yescharacteristic, complemented
189#10622370C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622329C2211yescharacteristic, complemented
192#10622327C2211yescharacteristic, complemented
193#10622326C2211yescharacteristic
194#10622323C2211yescharacteristic, complemented
195#10622321C2211yescharacteristic
196D11×#97C2211yescharacteristic
197#10622314C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622302C2211yescharacteristic
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×#4341—21no—
205C2×#4341—21no—
206C2×#4341C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×D4×D11—21no—
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×#4339—21no—
213C2×C11×D8C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C2×C11×D8C2311yescharacteristic
216C11×C4⋊Q8C2311yescharacteristic
217C11×#127C2311yescharacteristic
218C11×#127C2311yescharacteristic
219C11×#127C2311yescharacteristic
220C11×#125C2311yescharacteristic
221C11×#125C2311yescharacteristic
222C11×C22⋊Q8—21no—
223C11×C22⋊Q8—21no—
224C11×C22⋊Q8—21no—
225C11×#121—21no—
226C11×#121—21no—
227C11×#121—21no—
228C4×Q8×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C2×C11×C4⋊C4—21no—
236#67000—21no—
237#66999—21no—
238#66999D411yescharacteristic
239Q8×Dic11—21no—
240#66997—21no—
241#66997—21no—
242#66997—21no—
243#66997D411yescharacteristic
244#66993—21no—
245#66993—21no—
246#66993C2311yescharacteristic
247#66993C2311yescharacteristic
248#66993C2311yescharacteristic
249#66993C2311yescharacteristic
250#66992—21no—
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66992—21no—
256#66992—21no—
257#66992—21no—
258#66991—21no—
259#66991—21no—
260#66990—21no—
261#66990—21no—
262#66990—21no—
263#66990—21no—
264#66989—21no—
265#66989C2311yescharacteristic
266#66989C2311yescharacteristic
267#66988—21no—
268#66988—21no—
269D4×Dic11—21no—
270D4×Dic11C2311yescharacteristic
271D4×Dic11C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273D4×Dic11C2311yescharacteristic
274D4×Dic11C2311yescharacteristic
275D4×Dic11C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4324C2311yescharacteristic
278C2×#4324C2311yescharacteristic
279C2×#4324C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282#66983—21no—
283#66982—21no—
284#66982—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C2×(C2×D11)⋊C4—21no—
294C2×(C2×D11)⋊C4—21no—
295C2×C4⋊Dic11—21no—
296#66977—21no—
297#66977—21no—
298#66977—21no—
299C2×Dic11⋊C4—21no—
300C2×Dic11⋊C4—21no—
301C2×Dic11⋊C4—21no—
302C2×Dic11⋊C4—21no—
303C2×C4×Dic11—21no—
304C2×C4×Dic11—21no—
305#66965—24no—
306#66964—24no—
307#66964—24no—
308C2×Dic44C2311yescharacteristic
309C2×#4314C2311yescharacteristic
310C2×#4314C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×#4313C2311yescharacteristic
313C2×C8×D11C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315#66950—21no—
316#66950D411yescharacteristic
317#66949—21no—
318#66949—21no—
319#66949D411yescharacteristic
320#66949D411yescharacteristic
321#66947—21no—
322#66947—21no—
323#66946—21no—
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic
326#66945C2311yescharacteristic
327#66945C2311yescharacteristic
328C4⋊C4×D11—21no—
329C4⋊C4×D11—21no—
330C4⋊C4×D11C2311yescharacteristic
331C4⋊C4×D11C2311yescharacteristic
332#66943C2311yescharacteristic
333#66943C2311yescharacteristic
334#66943C2311yescharacteristic
335#66943C2311yescharacteristic
336#66942—21no—
337#66942—21no—
338#66942—21no—
339#66942—21no—
340#66942—21no—
341#66942—21no—
342#66942—21no—
343#66942—21no—
344#66942—21no—
345#66942—21no—
346#66942—21no—
347#66942—21no—
348#66942D411yescharacteristic
349#66942D411yescharacteristic
350#66941—21no—
351#66941—21no—
352#66941—21no—
353#66941D411yescharacteristic
354#66941C2311yescharacteristic
355#66941C2311yescharacteristic
356#66940—21no—
357#66940—21no—
358#66940—21no—
359#66940C2311yescharacteristic
360#66940C2311yescharacteristic
361#66940C2311yescharacteristic
362#66940C2311yescharacteristic
363#66938—21no—
364#66938—21no—
365#66937—21no—
366#66937—21no—
367#66936—21no—
368#66936—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377#66931—21no—
378#66931—21no—
379#66931—21no—
380#66931—21no—
381#66931—21no—
382#66931—21no—
383#66930—21no—
384#66930—21no—
385#66930—21no—
386#66930—21no—
387#66928C2311yescharacteristic
388#66928C2311yescharacteristic
389#66927C2311yescharacteristic
390C4×D44C2311yescharacteristic
391C4×D44C2311yescharacteristic
392#66925C2311yescharacteristic
393#66925C2311yescharacteristic
394C42×D11C2311yescharacteristic
395#66923C2311yescharacteristic
396#66923C2311yescharacteristic
397#66922C2311yescharacteristic
398C4×Dic22C2311yescharacteristic
399C4×Dic22C2311yescharacteristic
400C4×Dic22C2311yescharacteristic
401C4×Dic22C2311yescharacteristic
402C4×Dic22C2311yescharacteristic
403C4×Dic22C2311yescharacteristic
404C4×Dic22C2311yescharacteristic
405C11×#107C2311yescharacteristic
406C11×#106C2311yescharacteristic
407C11×#106C2311yescharacteristic
408C11×C4⋊C8C2311yescharacteristic
409C11×C4⋊C8C2311yescharacteristic
410C11×C4⋊C8C2311yescharacteristic
411C11×#102C2311yescharacteristic
412C11×#102C2311yescharacteristic
413C11×#102C2311yescharacteristic
414C11×#102C2311yescharacteristic
415C11×#102C2311yescharacteristic
416C11×#102C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#97C2311yescharacteristic
422C11×#97C2311yescharacteristic
423C4×C8×C11C2311yescharacteristic
424#66896C2311yescharacteristic
425#66896C2311yescharacteristic
426#66896C2311yescharacteristic
427#66896C2311yescharacteristic
428#66896C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66882C2311yescharacteristic
441#66881C2311yescharacteristic
442#66881C2311yescharacteristic
443#66880C2311yescharacteristic
444#66880C2311yescharacteristic
445#66880C2311yescharacteristic
446#66880C2311yescharacteristic
447#66879C2311yescharacteristic
448#66879C2311yescharacteristic
449#66879C2311yescharacteristic
450#66879C2311yescharacteristic
451Dic11⋊C8C2311yescharacteristic
452Dic11⋊C8C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457C8×Dic11C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459#66874C2311yescharacteristic
460#66874C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4⋊(C11⋊C8)C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478#66867C2311yescharacteristic
479#66867C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61337—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C11×#41—82no—
485C2×Q8×C11—21no—
486C2×Q8×C11C2×D411yescharacteristic
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11—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⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523#4341—22no—
524#4341—22no—
525#4341—22no—
526#4341—82no—
527#4341—82no—
528#4341#4114yescomplemented
529D4×D11—22no—
530D4×D11—22no—
531D4×D11—22no—
532D4×D11—22no—
533D4×D11—82no—
534D4×D11—82no—
535#4339—82no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44C2411yescharacteristic
539C2×D44C2411yescharacteristic
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2411yescharacteristic
549C2×Dic22—21no—
550C2×Dic22—21no—
551C2×Dic22—21no—
552C2×Dic22C2×D411yescharacteristic
553C2×Dic22C2×D411yescharacteristic
554C2×Dic22C2×D411yescharacteristic
555C2×Dic22C2411yescharacteristic
556C2×Dic22C2411yescharacteristic
557C11×D8—22no—
558C11×D8—22no—
559C11×D8—22no—
560C2×C8×C11C2411yescharacteristic
561C2×C8×C11C2411yescharacteristic
562C2×C8×C11C2411yescharacteristic
563C2×C8×C11C2411yescharacteristic
564C11×C4⋊C4—21no—
565C11×C4⋊C4—21no—
566C11×C4⋊C4—21no—
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4C2×D411yescharacteristic
570C11×C4⋊C4C2×D411yescharacteristic
571C11×C4⋊C4C2×D411yescharacteristic
572C11×C4⋊C4C2411yescharacteristic
573C11×C4⋊C4C2411yescharacteristic
574C11×C4⋊C4C2411yescharacteristic
575C11×C4⋊C4C2411yescharacteristic
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C42×C11C2411yescharacteristic
583C42×C11C2411yescharacteristic
584C42×C11C2411yescharacteristic
585C22⋊Dic11—21no—
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11—21no—
593C22⋊Dic11—21no—
594C22⋊Dic11—21no—
595#4324—22no—
596#4324—22no—
597#4324—22no—
598#4324—22no—
599#4323—22no—
600#4323—22no—
601(C2×D11)⋊C4—21no—
602(C2×D11)⋊C4—21no—
603(C2×D11)⋊C4—21no—
604(C2×D11)⋊C4—21no—
605(C2×D11)⋊C4—21no—
606(C2×D11)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4C2×D411yescharacteristic
612(C2×D11)⋊C4C2×D411yescharacteristic
613(C2×D11)⋊C4C2×D411yescharacteristic
614(C2×D11)⋊C4C2×D411yescharacteristic
615C4⋊Dic11—21no—
616C4⋊Dic11—21no—
617C4⋊Dic11—21no—
618C4⋊Dic11—21no—
619C4⋊Dic11—21no—
620C4⋊Dic11C2×D411yescharacteristic
621C4⋊Dic11C2×D411yescharacteristic
622C4⋊Dic11C2×D411yescharacteristic
623C4⋊Dic11C2411yescharacteristic
624C4⋊Dic11C2411yescharacteristic
625C4⋊Dic11C2411yescharacteristic
626C4⋊Dic11C2411yescharacteristic
627Dic11⋊C4—21no—
628Dic11⋊C4—21no—
629Dic11⋊C4—21no—
630Dic11⋊C4—21no—
631Dic11⋊C4—21no—
632Dic11⋊C4—21no—
633Dic11⋊C4—21no—
634Dic11⋊C4—21no—
635Dic11⋊C4—21no—
636Dic11⋊C4—21no—
637Dic11⋊C4—21no—
638Dic11⋊C4—21no—
639Dic11⋊C4—21no—
640Dic11⋊C4—21no—
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4C2×D411yescharacteristic
648Dic11⋊C4C2×D411yescharacteristic
649Dic11⋊C4C2×D411yescharacteristic
650Dic11⋊C4C2×D411yescharacteristic
651Dic11⋊C4C2×D411yescharacteristic
652Dic11⋊C4C2×D411yescharacteristic
653Dic11⋊C4C2×D411yescharacteristic
654Dic11⋊C4C2×D411yescharacteristic
655Dic11⋊C4C2×D411yescharacteristic
656Dic11⋊C4C2×D411yescharacteristic
657C4×Dic11—21no—
658C4×Dic11—21no—
659C4×Dic11—21no—
660C4×Dic11—21no—
661C4×Dic11—21no—
662C4×Dic11—21no—
663C4×Dic11—21no—
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11C2×D411yescharacteristic
668C4×Dic11C2×D411yescharacteristic
669C4×Dic11C2411yescharacteristic
670C4×Dic11C2411yescharacteristic
671C4×Dic11C2411yescharacteristic
672C2×C11⋊C8C2411yescharacteristic
673C2×C11⋊C8C2411yescharacteristic
674C2×C11⋊C8C2411yescharacteristic
675C2×C11⋊C8C2411yescharacteristic
676Dic44—22no—
677#4314—22no—
678#4314—22no—
679#4313—22no—
680#4313—22no—
681C8×D11—22no—
682C8×D11—22no—
683#3508—111no—
684#3504—111no—
685#3371—111no—
686#3371—111no—
687#3371—111no—
688#3371—111no—
689#3370—111no—
690#3370—111no—
691#3370—111no—
692#3370—111no—
693#3368—111no—
694#3368—111no—
695#3368—111no—
696#3368—111no—
697#3366—111no—
698#3366—111no—
699#3366—111no—
700#3366D1111yescharacteristic, complemented
701#3136—111no—
702#3136—111no—
703C2×#490—111no—
704#3081—111no—
705#3081—111no—
706#3080—111no—
707#3045—111no—
708#3045—111no—
709#3038—111no—
710#2961—111no—
711#2946—111no—
712#2946—111no—
713#2943—111no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11—21no—
717C23×C11—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—42no—
721C22×D11—42no—
722C22×D11—81no—
723C22×D11—81no—
724C22×D11—81no—
725C22×D11—81no—
726C22×D11C22×D411yescharacteristic
727Q8×C11—41no—
728Q8×C11—81no—
729D4×C11—21no—
730D4×C11—21no—
731D4×C11—21no—
732D4×C11—21no—
733D4×C11—21no—
734D4×C11—21no—
735D4×C11—21no—
736D4×C11—42no—
737D4×C11—81no—
738D4×C11—81no—
739D4×C11—81no—
740D4×C11—81no—
741D4×C11—81no—
742D4×C11C2×#4112yes—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—42no—
748C2×C4×C11—81no—
749C2×C4×C11—81no—
750C2×C4×C11—81no—
751C2×C4×C11—81no—
752C2×C4×C11—81no—
753C2×C4×C11C22×D411yescharacteristic
754C2×C4×C11C22×D411yescharacteristic
755C2×C4×C11C22×D411yescharacteristic
756C2×C4×C11C22×D411yescharacteristic
757C2×C4×C11C22×D411yescharacteristic
758C2×C4×C11C22×D411yescharacteristic
759C2×C4×C11C2511yescharacteristic
760C22⋊D11—24no—
761C22⋊D11—42no—
762C22⋊D11—42no—
763C22⋊D11—42no—
764C22⋊D11—42no—
765C22⋊D11—42no—
766C22⋊D11—81no—
767C22⋊D11—81no—
768C22⋊D11—81no—
769C22⋊D11—81no—
770C22⋊D11—81no—
771C22⋊D11—81no—
772C2×Dic11—21no—
773C2×Dic11—24no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—42no—
780C2×Dic11—42no—
781C2×Dic11—81no—
782C2×Dic11—81no—
783C2×Dic11—81no—
784C2×Dic11—81no—
785C2×Dic11—81no—
786C2×Dic11C22×D411yescharacteristic
787C2×Dic11C22×D411yescharacteristic
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793D44—21no—
794D44—21no—
795D44—21no—
796D44—21no—
797D44—42no—
798D44—81no—
799C4×D11—41no—
800C4×D11—41no—
801C4×D11—81no—
802C4×D11—81no—
803C4×D11—81no—
804C4×D11—81no—
805C4×D11—81no—
806C4×D11—81no—
807C4×D11C2×#4112yes—
808C4×D112−1+412yes—
809Dic22—21no—
810Dic22—21no—
811Dic22—21no—
812Dic22—41no—
813Dic22—41no—
814Dic22—41no—
815Dic22—81no—
816Dic22—81no—
817Dic22—81no—
818Dic22C2×#4112yes—
819C8×C11—21no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C11⋊C8—21no—
824C11⋊C8—21no—
825C11⋊C8—21no—
826C11⋊C8—21no—
827C2×AGL(1,ℤ/8)—111no—
828C2×AGL(1,ℤ/8)—111no—
829C2×#135—111no—
830#559—111no—
831#559—111no—
832#559—111no—
833#559—111no—
834#557—111no—
835#557—111no—
836#557—111no—
837#557—111no—
838#554—111no—
839#554—111no—
840#554—111no—
841#554—221no—
842#554—221no—
843#554—221no—
844#554—221no—
845#554C2×D1111yescharacteristic, complemented
846#550—111no—
847#550—111no—
848#550—111no—
849#550C2×D1111yescharacteristic
850#546—221no—
851#546—221no—
852#546—221no—
853#546—221no—
854#544—111no—
855#544—111no—
856#544—221no—
857#544—221no—
858#540—221no—
859#540—221no—
860#535—111no—
861#535—111no—
862#533—111no—
863#533—221no—
864#532—221no—
865#532—221no—
866C2×#127—111no—
867C2×#125—111no—
868C2×#125—221no—
869#520—111no—
870#520—111no—
871#518—111no—
872#518—111no—
873C4×#41—111no—
874C4×#41—111no—
875#490—111no—
876#490—111no—
877#490—111no—
878#490—111no—
879#490—111no—
880#490—111no—
881#490—111no—
882#490—111no—
883#490—111no—
884#490—111no—
885#490C2×D1111yescharacteristic
886#490C2×D1111yescharacteristic, complemented
887#489—111no—
888#489—111no—
889#489—111no—
890#489—111no—
891#488—111no—
892#488—111no—
893#488—111no—
894#488—111no—
895#486—111no—
896#486—111no—
897#486—111no—
898#486C2×D1111yescharacteristic, complemented
899#479—111no—
900#479—111no—
901#479—111no—
902#479—111no—
903#478—111no—
904#478—111no—
905#478—111no—
906#478—111no—
907#478—111no—
908#478—111no—
909#478—111no—
910#478—111no—
911#478—111no—
912#478—111no—
913#478C2×D1111yescharacteristic, complemented
914#478C2×D1111yescharacteristic, complemented
915#476—111no—
916#476—111no—
917#476—111no—
918#476C2×D1111yescharacteristic, complemented
919#474—111no—
920#474—111no—
921#474—111no—
922#474—111no—
923#464—111no—
924#464—111no—
925#464—111no—
926#464—111no—
927#463—111no—
928#463—111no—
929#463—111no—
930#463—111no—
931#460—111no—
932#460—111no—
933#460—111no—
934#460—111no—
935#460—111no—
936#460—111no—
937#460—111no—
938#460—111no—
939#459—111no—
940#459—111no—
941#459—111no—
942#459—111no—
943#459—111no—
944#459C2×D1111yescharacteristic
945#459C2×D1111yescharacteristic, complemented
946#459C2×D1111yescharacteristic, complemented
947#446—111no—
948#446—111no—
949#446—111no—
950#446—111no—
951#446—111no—
952#446—111no—
953#446—111no—
954#446C2×D1111yescharacteristic, complemented
955#442—111no—
956#442—111no—
957#442—111no—
958#442—111no—
959#442C2×D1111yescharacteristic, complemented
960#442C2×D1111yescharacteristic, complemented
961#441—111no—
962#441—111no—
963#440—111no—
964#440—111no—
965#440—111no—
966#440—111no—
967#440—111no—
968#440—111no—
969#440—111no—
970#440—111no—
971C4×SD16—111no—
972C4×SD16—111no—
973C4×SD16—111no—
974C4×SD16—111no—
975C4×D8—111no—
976C4×D8—111no—
977C4×D8—111no—
978C4×D8C2×D1111yescharacteristic, complemented
979#428—111no—
980#428—111no—
981#427—111no—
982#424—111no—
983#424—111no—
984#423—111no—
985#418—111no—
986#418—111no—
987#417—111no—
988#417—111no—
989#416—111no—
990#416—111no—
991C2×#102—111no—
992C2×#102—111no—
993C2×#102—111no—
994C2×#102—111no—
995#405—111no—
996#405—111no—
997C2×#97—111no—
998C22×C11—22no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11C23×D411yescharacteristic
1011C2×D11—21no—
1012C2×D11—21no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—162no—
1020C2×D11—162no—
1021C2×D11#54812yes—
1022C4×C11—21no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—21no—
1027C4×C11—21no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11C22×#4111yescharacteristic
1033C4×C11C2×2−1+411yescharacteristic
1034Dic11—21no—
1035Dic11—21no—
1036Dic11—21no—
1037Dic11—21no—
1038Dic11—21no—
1039Dic11—21no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11#54812yes—
1047C2×#41—21no—
1048C2×#41—111no—
1049C2×#41—111no—
1050C2×#41—221no—
1051C2×#41—221no—
1052C2×#41—221no—
1053C22×D4—111no—
1054C22×D4—111no—
1055C22×D4—221no—
1056C22×D4—221no—
1057AGL(1,ℤ/8)—224no—
1058AGL(1,ℤ/8)—224no—
1059#135—224no—
1060C2×Q16—111no—
1061C2×SD16—111no—
1062C2×SD16—111no—
1063C2×SD16—111no—
1064C2×SD16—111no—
1065C2×SD16—111no—
1066C2×SD16—111no—
1067C2×D8—111no—
1068C2×D8—111no—
1069C2×D8C22×D1111yescharacteristic
1070C2×D8C22×D1111yescharacteristic
1071C2×D8C22×D1111yescharacteristic
1072C2×M16—111no—
1073C2×M16—111no—
1074C22×C8—111no—
1075C22×C8—111no—
1076C4⋊Q8—111no—
1077C4⋊Q8—111no—
1078C4⋊Q8—111no—
1079C4⋊Q8—111no—
1080C4⋊Q8—111no—
1081C4⋊Q8—221no—
1082C4⋊Q8—221no—
1083C4⋊Q8—221no—
1084C4⋊Q8—221no—
1085C4⋊Q8—221no—
1086C4⋊Q8—221no—
1087C4⋊Q8C22×D1111yescharacteristic
1088#127—111no—
1089#127—111no—
1090#127—111no—
1091#127—111no—
1092#127—111no—
1093#127—221no—
1094#127—221no—
1095#127C22×D1111yescharacteristic
1096#127C22×D1111yescharacteristic
1097#127C22×D1111yescharacteristic
1098#125—111no—
1099#125—111no—
1100#125—111no—
1101#125—111no—
1102#125—111no—
1103#125—111no—
1104#125—111no—
1105#125—111no—
1106#125—221no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125—221no—
1114#125—221no—
1115#125—221no—
1116#125—221no—
1117#125—221no—
1118#125C22×D1111yescharacteristic
1119#125C22×D1111yescharacteristic
1120#124—111no—
1121#124—111no—
1122#124—111no—
1123#124—111no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124—221no—
1128#123—221no—
1129#123—221no—
1130#123—221no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—111no—
1140C22⋊Q8—111no—
1141C22⋊Q8—111no—
1142C22⋊Q8—111no—
1143C22⋊Q8—221no—
1144C22⋊Q8—221no—
1145C22⋊Q8—221no—
1146C22⋊Q8—221no—
1147C22⋊Q8—221no—
1148C22⋊Q8—221no—
1149C22⋊Q8—221no—
1150C22⋊Q8—221no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—221no—
1160#121—221no—
1161#121—221no—
1162#121—221no—
1163#121—221no—
1164#121—221no—
1165#121—221no—
1166#121—221no—
1167#121—221no—
1168#121—221no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#120—221no—
1173#120—221no—
1174#120—221no—
1175#120—221no—
1176C4×Q8—111no—
1177C4×Q8—111no—
1178C4×Q8—111no—
1179C4×Q8—111no—
1180C4×Q8—111no—
1181C4×Q8—111no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—111no—
1187C4×Q8—221no—
1188C4×Q8—221no—
1189C4×Q8—221no—
1190C4×Q8—221no—
1191C4×Q8C22×D1111yescharacteristic
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×D4—111no—
1202C4×D4—221no—
1203C4×D4—221no—
1204C4×D4—221no—
1205C4×D4—221no—
1206C4×D4—221no—
1207C4×D4—221no—
1208C4×D4—221no—
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×D4C22×D1111yescharacteristic
1219C4×D4C22×D1111yescharacteristic
1220C4×D4C22×D1111yescharacteristic
1221C4×D4C22×D1111yescharacteristic
1222C4×D4C22×D1111yescharacteristic
1223C4×D4C22×D1111yescharacteristic
1224#117—111no—
1225#117—111no—
1226#117—111no—
1227#117—111no—
1228#117—221no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C4⋊C4—221no—
1236C2×C4⋊C4—221no—
1237C2×C4⋊C4—221no—
1238C2×C4⋊C4—221no—
1239C2×C4⋊C4—221no—
1240C2×C4⋊C4—221no—
1241C2×C4⋊C4—221no—
1242C2×C22⋊C4—221no—
1243C2×C22⋊C4—221no—
1244C2×C22⋊C4—221no—
1245C2×C22⋊C4—221no—
1246C2×C42—111no—
1247C2×C42—221no—
1248C2×C42—221no—
1249#107—111no—
1250#107—111no—
1251#107—111no—
1252#107—111no—
1253#107—111no—
1254#107C22×D1111yescharacteristic
1255#106—111no—
1256#106—111no—
1257#106—111no—
1258#106—111no—
1259#106C22×D1111yescharacteristic
1260#106C22×D1111yescharacteristic
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⋊C8C22×D1111yescharacteristic
1271C4⋊C8C22×D1111yescharacteristic
1272C4⋊C8C22×D1111yescharacteristic
1273#103—111no—
1274#103—111no—
1275#103—111no—
1276#103—111no—
1277#103—111no—
1278#103—111no—
1279#103—111no—
1280#103—111no—
1281#102—111no—
1282#102—111no—
1283#102—111no—
1284#102—111no—
1285#102—111no—
1286#102—111no—
1287#102—111no—
1288#102—111no—
1289#102—111no—
1290#102—111no—
1291#102—111no—
1292#102—111no—
1293#102—111no—
1294#102—111no—
1295#102—111no—
1296#102—111no—
1297#102—111no—
1298#102—111no—
1299#102—111no—
1300#102—111no—
1301#102—111no—
1302#102—111no—
1303#102C22×D1111yescharacteristic
1304#102C22×D1111yescharacteristic
1305#102C22×D1111yescharacteristic
1306#102C22×D1111yescharacteristic
1307#102C22×D1111yescharacteristic
1308#102C22×D1111yescharacteristic
1309#102C22×D1111yescharacteristic
1310#102C22×D1111yescharacteristic
1311#102C22×D1111yescharacteristic
1312#102C22×D1111yescharacteristic
1313#97—111no—
1314#97—111no—
1315#97—111no—
1316#97—111no—
1317#97—111no—
1318#97—111no—
1319#97C22×D1111yescharacteristic
1320#97C22×D1111yescharacteristic
1321C4×C8—111no—
1322C4×C8—111no—
1323C4×C8—111no—
1324C4×C8C22×D1111yescharacteristic
1325C2×C11—42no—
1326C2×C11—81no—
1327C2×C11—81no—
1328C2×C11—81no—
1329C2×C11C2×#54811yescharacteristic
1330C2×C11#358511yescharacteristic
1331C2×C11#358511yescharacteristic
1332D11—22no—
1333D11—81no—
1334D11—81no—
1335C24—221no—
1336C24—221no—
1337#41—82no—
1338#41—114no—
1339#41—222no—
1340#41—222no—
1341#41—222no—
1342#41—882no—
1343#41—882no—
1344#41—882no—
1345C2×Q8—21no—
1346C2×Q8—111no—
1347C2×Q8—111no—
1348C2×Q8—111no—
1349C2×Q8—111no—
1350C2×Q8—111no—
1351C2×Q8—221no—
1352C2×Q8—221no—
1353C2×Q8—221no—
1354C2×Q8D4×D1111yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
1367C2×D4—221no—
1368C2×D4—221no—
1369C2×D4—221no—
1370C2×D4—221no—
1371C2×D4—221no—
1372C2×D4—221no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—221no—
1376C2×D4—221no—
1377C2×D4—221no—
1378C2×D4—221no—
1379C2×D4—221no—
1380C2×D4—221no—
1381C2×D4—882no—
1382C2×D4—882no—
1383C2×D4C23×D1111yescharacteristic
1384C2×D4C23×D1111yescharacteristic
1385C2×D4C23×D1111yescharacteristic
1386C2×D4C23×D1111yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—221no—
1399C22×C4—221no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4—221no—
1403C22×C4—221no—
1404C22×C4—221no—
1405C22×C4—221no—
1406C22×C4—221no—
1407C22×C4—221no—
1408C22×C4—221no—
1409C22×C4—221no—
1410Q16—222no—
1411SD16—222no—
1412SD16—222no—
1413SD16—222no—
1414SD16—222no—
1415SD16—222no—
1416SD16—222no—
1417D8—22no—
1418D8—22no—
1419D8—22no—
1420D8—222no—
1421D8—222no—
1422M16—222no—
1423M16—222no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—111no—
1428C2×C8—222no—
1429C2×C8—222no—
1430C2×C8C23×D1111yescharacteristic
1431C2×C8C23×D1111yescharacteristic
1432C2×C8C23×D1111yescharacteristic
1433C2×C8C23×D1111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—111no—
1440C4⋊C4—111no—
1441C4⋊C4—111no—
1442C4⋊C4—111no—
1443C4⋊C4—111no—
1444C4⋊C4—111no—
1445C4⋊C4—111no—
1446C4⋊C4—111no—
1447C4⋊C4—111no—
1448C4⋊C4—111no—
1449C4⋊C4—111no—
1450C4⋊C4—111no—
1451C4⋊C4—111no—
1452C4⋊C4—111no—
1453C4⋊C4—111no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—221no—
1457C4⋊C4—221no—
1458C4⋊C4—221no—
1459C4⋊C4—221no—
1460C4⋊C4—221no—
1461C4⋊C4—221no—
1462C4⋊C4—221no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4—221no—
1480C4⋊C4—221no—
1481C4⋊C4D4×D1111yescharacteristic
1482C4⋊C4D4×D1111yescharacteristic
1483C4⋊C4D4×D1111yescharacteristic
1484C4⋊C4C23×D1111yescharacteristic
1485C4⋊C4C23×D1111yescharacteristic
1486C4⋊C4C23×D1111yescharacteristic
1487C4⋊C4C23×D1111yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—221no—
1499C22⋊C4—221no—
1500C22⋊C4—221no—
1501C22⋊C4—221no—
1502C22⋊C4—221no—
1503C22⋊C4—221no—
1504C22⋊C4—221no—
1505C22⋊C4—221no—
1506C22⋊C4—221no—
1507C22⋊C4—221no—
1508C22⋊C4—221no—
1509C22⋊C4—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C42—111no—
1519C42—111no—
1520C42—111no—
1521C42—111no—
1522C42—111no—
1523C42—221no—
1524C42—221no—
1525C42—221no—
1526C42—221no—
1527C42—221no—
1528C42—221no—
1529C42—221no—
1530C42—221no—
1531C42—221no—
1532C42—221no—
1533C42C23×D1111yescharacteristic
1534C42C23×D1111yescharacteristic
1535C42C23×D1111yescharacteristic
1536C11#6133711yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—111no—
1542C23—221no—
1543C23—221no—
1544C23—442no—
1545C23—442no—
1546C23—881no—
1547C23—881no—
1548C23—881no—
1549C23—881no—
1550Q8—41no—
1551Q8—81no—
1552Q8—112no—
1553Q8—221no—
1554Q8—221no—
1555Q8—221no—
1556Q8—441no—
1557Q8—441no—
1558Q8—441no—
1559Q8—881no—
1560Q8—881no—
1561Q8—881no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—224no—
1576D4—221no—
1577D4—221no—
1578D4—221no—
1579D4—221no—
1580D4—442no—
1581D4—442no—
1582D4—442no—
1583D4—442no—
1584D4—442no—
1585D4—442no—
1586D4—881no—
1587D4—881no—
1588D4—881no—
1589D4—881no—
1590D4—881no—
1591D4—881no—
1592D4—881no—
1593D4#41×D1112yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—42no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
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—224no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—441no—
1621C2×C4—441no—
1622C2×C4—442no—
1623C2×C4—442no—
1624C2×C4—881no—
1625C2×C4—881no—
1626C2×C4—881no—
1627C2×C4—881no—
1628C2×C4—881no—
1629C2×C4—881no—
1630C2×C4—881no—
1631C2×C4—881no—
1632C2×C4—881no—
1633C2×C4—881no—
1634C2×C4—881no—
1635C2×C4C2×D4×D1111yescharacteristic
1636C2×C4C2×D4×D1111yescharacteristic
1637C2×C4C2×D4×D1111yescharacteristic
1638C2×C4C2×D4×D1111yescharacteristic
1639C2×C4C2×D4×D1111yescharacteristic
1640C2×C4C2×D4×D1111yescharacteristic
1641C2×C4C24×D1111yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—221no—
1647C8—221no—
1648C8—221no—
1649C8—221no—
1650C22—22no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—112no—
1663C22—221no—
1664C22—221no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—1762no—
1672C22—1762no—
1673C22C22×D4×D1111yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—112no—
1685C4—221no—
1686C4—221no—
1687C4—221no—
1688C4—222no—
1689C4—221no—
1690C4—221no—
1691C4—221no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4C2×#41×D1111yescharacteristic
1698C4D11×2−1+411yescharacteristic
1699C2—42no—
1700C2—81no—
1701C2—81no—
1702C2—81no—
1703C2—222no—
1704C2—881no—
1705C2—881no—
1706C2D11×#54811yescharacteristic
1707C2#1308339111yescharacteristic
1708C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3366C2
socleC22×C11C23×D4
hypercenter#3366D11
hypocenterC11#61337
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #13082486C2semidirect
2. #13082436C2semidirect
3. #13081391C2semidirect
4. #13081386C2semidirect
5. #13081382C2semidirect
6. #13081379C2semidirect
7. #13081374C2semidirect
8. #13081369C2semidirect
9. #13081365C2semidirect
10. #13081362C2semidirect
11. #13081350C2semidirect
12. #13081348C2semidirect
13. #13081342C2semidirect
14. #13081341C2semidirect
15. #13081327C2semidirect
16. #13081324C2semidirect
17. #13081318C2semidirect
18. #13078971C2semidirect
19. #13078965C2semidirect
20. D11×#490C2semidirect
21. #13078446C2semidirect
22. #13078442C2semidirect
23. #13078433C2semidirect
24. #13078150C2semidirect
25. #13078150C2semidirect
26. #13078091C2semidirect
27. #13077552C2semidirect
28. #13077445C2semidirect
29. #13077441C2semidirect
30. #13077413C2semidirect
31. C11×#3366C2semidirect
32. C11×#554C22semidirect
40. #10623252C22semidirect
49. #10623216C22semidirect
50. #10623216C22semidirect
65. #10623098C22semidirect
73. #10623074C22semidirect
74. #10623070C22semidirect
75. #10623070C22semidirect
81. C11×#490C22semidirect
82. C11×#486C22semidirect
83. C11×#478C22semidirect
84. C11×#478C22semidirect
85. C11×#476C22semidirect
87. C11×#459C22semidirect
88. C11×#459C22semidirect
89. C11×#446C22semidirect
90. C11×#442C22semidirect
91. C11×#442C22semidirect
92. C4×C11×D8C22semidirect
93. #10622766C22semidirect
94. #10622766C22semidirect
95. #10622765C22semidirect
96. #10622765C22semidirect
99. #10622763C22semidirect
100. #10622763C22semidirect
101. D8×Dic11C22semidirect
102. #10622702C22semidirect
103. #10622700C22semidirect
105. #10622688C22semidirect
106. #10622688C22semidirect
108. #10622684C22semidirect
109. #10622683C22semidirect
110. #10622681C22semidirect
112. #10622679C22semidirect
113. #10622676C22semidirect
114. #10622637C22semidirect
115. #10622631C22semidirect
116. #10622631C22semidirect
117. #10622631C22semidirect
118. C4×#4324C22semidirect
119. #10622629C22semidirect
120. #10622629C22semidirect
122. #10622627C22semidirect
123. C4×#4323C22semidirect
124. #10622622C22semidirect
125. #10622622C22semidirect
126. #10622620C22semidirect
127. #10622503C22semidirect
128. #10622502C22semidirect
130. #10622490C22semidirect
131. #10622484C22semidirect
132. #10622484C22semidirect
133. #10622483C22semidirect
136. #10622470C22semidirect
137. #10622466C22semidirect
138. #10622465C22semidirect
140. #10622460C22semidirect
141. #10622458C22semidirect
142. #10622458C22semidirect
143. #10622455C22semidirect
147. #10622444C22semidirect
148. #10622442C22semidirect
149. #10622441C22semidirect
150. #10622441C22semidirect
151. #10622398C22semidirect
162. #10622381C22semidirect
163. #10622381C22semidirect
164. #10622380C22semidirect
165. #10622380C22semidirect
166. #10622379C22semidirect
167. #10622378C22semidirect
168. #10622378C22semidirect
173. #10622377C22semidirect
174. #10622377C22semidirect
175. #10622376C22semidirect
176. #10622376C22semidirect
177. #10622376C22semidirect
180. #10622375C22semidirect
181. #10622375C22semidirect
182. #10622374C22semidirect
183. #10622373C22semidirect
184. #10622373C22semidirect
185. #10622372C22semidirect
186. #10622371C22semidirect
187. #10622370C22semidirect
188. #10622370C22semidirect
189. #10622370C22semidirect
190. #10622369C22semidirect
191. #10622329C22semidirect
192. #10622327C22semidirect
194. #10622323C22semidirect
197. #10622314C22semidirect
198. #10622314C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
202. #10622292C22semidirect
528. #4341#41semidirect
700. #3366D11semidirect
845. #554C2×D11semidirect
886. #490C2×D11semidirect
898. #486C2×D11semidirect
913. #478C2×D11semidirect
914. #478C2×D11semidirect
918. #476C2×D11semidirect
945. #459C2×D11semidirect
946. #459C2×D11semidirect
954. #446C2×D11semidirect
959. #442C2×D11semidirect
960. #442C2×D11semidirect
978. C4×D8C2×D11semidirect
1536. C11#61337semidirect

Maximal subgroups

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

subgroupindex
#130824862
#130824362
#130813912
#130813862
#130813822
#130813792
#130813742
#130813692
#130813652
#130813622
#130813502
#130813482
#130813422
#130813412
#130813272
#130813242
#130813182
#130789712
#130789652
D11×#4902
#130784462
#130784422
#130784332
#130781502
#130780912
#130775522
#130774452
#130774412
#130774132
C11×#33662
#6133711