Finite Group Databasebeta

← #15650705

Subgroups — #15650705

Order 2816.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083149C211yesmaximal, characteristic, complemented
2#13082638C211yesmaximal, characteristic, complemented
3#13081574C211yesmaximal, characteristic, complemented
4#13081569C211yesmaximal, characteristic, complemented
5#13081326C211yesmaximal, characteristic, complemented
6#13081322C211yesmaximal, characteristic, complemented
7#13081117C211yesmaximal, characteristic, complemented
8#13081112C211yesmaximal, characteristic, complemented
9#13081093C211yesmaximal, characteristic, complemented
10#13081087C211yesmaximal, characteristic, complemented
11#13081018C211yesmaximal, characteristic, complemented
12#13081015C211yesmaximal, characteristic, complemented
13#13080758C211yesmaximal, characteristic, complemented
14#13080758C211yesmaximal, characteristic, complemented
15#13080754C211yesmaximal, characteristic, complemented
16#13080753C211yesmaximal, characteristic, complemented
17#13080426C211yesmaximal, characteristic, complemented
18#13080425C211yesmaximal, characteristic, complemented
19#13080055C211yesmaximal, characteristic, complemented
20#13080054C211yesmaximal, characteristic, complemented
21#13079925C211yesmaximal, characteristic, complemented
22#13079876C211yesmaximal, characteristic, complemented
23#13079869C211yesmaximal, characteristic, complemented
24#13079804C211yesmaximal, characteristic, complemented
25#13078861C211yesmaximal, characteristic, complemented
26#13078859C211yesmaximal, characteristic, complemented
27#13078709C211yesmaximal, characteristic, complemented
28#13078442C211yesmaximal, characteristic, complemented
29D11×#478C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3081C211yesmaximal, characteristic, complemented
32C11×#544C2211yescharacteristic, complemented
33C11×#518C2211yescharacteristic
34D4×C22⋊D11C2211yescharacteristic
35D4×C22⋊D11C2211yescharacteristic
36#10623266—21no—
37#10623261C2211yescharacteristic, complemented
38#10623260C2211yescharacteristic, complemented
39#10623257—21no—
40#10623257C2211yescharacteristic, complemented
41#10623256C2211yescharacteristic, complemented
42#10623229C2211yescharacteristic, complemented
43#10623226C2211yescharacteristic, complemented
44#10623223—21no—
45#10623223—21no—
46#10623221C2211yescharacteristic, complemented
47D11×#125C2211yescharacteristic, complemented
48#10623178—21no—
49#10623169—21no—
50#10623162—21no—
51#10623160—21no—
52#10623093C2211yescharacteristic
53#10623091—21no—
54#10623089C2211yescharacteristic
55#10623084C2211yescharacteristic
56#10623081—21no—
57D4×D44C2211yescharacteristic
58#10623079C2211yescharacteristic
59#10623078—21no—
60#10623076C2211yescharacteristic
61C4×D4×D11C2211yescharacteristic
62#10623071—21no—
63#10623070C2211yescharacteristic
64#10623066C2211yescharacteristic
65#10623066C2211yescharacteristic, complemented
66#10623063C2211yescharacteristic
67#10623061C2211yescharacteristic
68#10623061C2211yescharacteristic, complemented
69#10623061C2211yescharacteristic, complemented
70#10623059C2211yescharacteristic
71#10623045C2211yescharacteristic, complemented
72#10623038C2211yescharacteristic, complemented
73#10623025—21no—
74#10623021—21no—
75#10623021—21no—
76C2×#66937—21no—
77C11×#478C2211yescharacteristic
78C11×#478C2211yescharacteristic
79C11×#478C2211yescharacteristic, complemented
80C11×#478C2211yescharacteristic, complemented
81C11×#476C2211yescharacteristic
82C11×#476C2211yescharacteristic, complemented
83C11×#474C2211yescharacteristic
84C11×#474C2211yescharacteristic, complemented
85C11×#428C2211yescharacteristic, complemented
86C11×#427C2211yescharacteristic, complemented
87C11×#424C2211yescharacteristic, complemented
88C11×#418C2211yescharacteristic
89C2×C11×#102C2211yescharacteristic
90#10622830C2211yescharacteristic
91#10622830C2211yescharacteristic
92#10622748C2211yescharacteristic, complemented
93#10622748C2211yescharacteristic, complemented
94#10622740C2211yescharacteristic, complemented
95#10622740C2211yescharacteristic, complemented
96#10622728C2211yescharacteristic, complemented
97#10622728C2211yescharacteristic, complemented
98#10622724C2211yescharacteristic, complemented
99C8×C22⋊D11C2211yescharacteristic, complemented
100#10622701C2211yescharacteristic, complemented
101#10622700C2211yescharacteristic, complemented
102#10622697C2211yescharacteristic, complemented
103#10622693C2211yescharacteristic, complemented
104#10622680C2211yescharacteristic, complemented
105#10622679C2211yescharacteristic, complemented
106#10622679C2211yescharacteristic, complemented
107#10622677C2211yescharacteristic, complemented
108#10622628C2211yescharacteristic
109#10622628C2211yescharacteristic, complemented
110#10622627C2211yescharacteristic
111#10622627C2211yescharacteristic, complemented
112C4×#4323C2211yescharacteristic
113C4×#4323C2211yescharacteristic, complemented
114#10622622C2211yescharacteristic
115#10622622C2211yescharacteristic, complemented
116#10622616C2211yescharacteristic, complemented
117#10622616C2211yescharacteristic, complemented
118#10622616C2211yescharacteristic, complemented
119#10622616C2211yescharacteristic, complemented
120#10622613C2211yescharacteristic, complemented
121#10622581C2211yescharacteristic, complemented
122#10622580C2211yescharacteristic, complemented
123#10622504C2211yescharacteristic, complemented
124#10622504C2211yescharacteristic, complemented
125#10622503C2211yescharacteristic, complemented
126#10622503C2211yescharacteristic, complemented
127#10622498C2211yescharacteristic, complemented
128#10622498C2211yescharacteristic, complemented
129#10622496C2211yescharacteristic, complemented
130#10622496C2211yescharacteristic, complemented
131#10622496C2211yescharacteristic, complemented
132#10622495C2211yescharacteristic, complemented
133#10622495C2211yescharacteristic, complemented
134D11×#107C2211yescharacteristic, complemented
135#10622491C2211yescharacteristic, complemented
136#10622489C2211yescharacteristic, complemented
137#10622489C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622484C2211yescharacteristic, complemented
141#10622484C2211yescharacteristic, complemented
142#10622483C2211yescharacteristic, complemented
143#10622482C2211yescharacteristic, complemented
144#10622482C2211yescharacteristic, complemented
145#10622482C2211yescharacteristic, complemented
146#10622479C2211yescharacteristic, complemented
147#10622478C2211yescharacteristic, complemented
148#10622476C2211yescharacteristic, complemented
149#10622476C2211yescharacteristic, complemented
150#10622476C2211yescharacteristic, complemented
151#10622474C2211yescharacteristic, complemented
152#10622473C2211yescharacteristic, complemented
153D11×#106C2211yescharacteristic, complemented
154#10622469C2211yescharacteristic, complemented
155#10622460C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622460C2211yescharacteristic, complemented
158#10622460C2211yescharacteristic, complemented
159#10622456C2211yescharacteristic, complemented
160#10622456C2211yescharacteristic, complemented
161#10622456C2211yescharacteristic, complemented
162#10622456C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic, complemented
167#10622447C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic, complemented
169#10622444C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622399C2211yescharacteristic, complemented
172#10622399C2211yescharacteristic, complemented
173#10622399C2211yescharacteristic, complemented
174#10622399C2211yescharacteristic, complemented
175#10622398C2211yescharacteristic
176#10622398C2211yescharacteristic
177#10622398C2211yescharacteristic
178#10622397C2211yescharacteristic, complemented
179#10622395C2211yescharacteristic, complemented
180#10622390C2211yescharacteristic, complemented
181#10622390C2211yescharacteristic, complemented
182#10622388C2211yescharacteristic, complemented
183#10622388C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic
187#10622386C2211yescharacteristic
188#10622386C2211yescharacteristic
189#10622386C2211yescharacteristic
190#10622383C2211yescharacteristic
191D11×#102C2211yescharacteristic
192D11×#102C2211yescharacteristic
193D11×#102C2211yescharacteristic
194#10622379C2211yescharacteristic
195#10622377C2211yescharacteristic, complemented
196#10622377C2211yescharacteristic, complemented
197#10622377C2211yescharacteristic, complemented
198#10622376C2211yescharacteristic
199#10622376C2211yescharacteristic
200#10622373C2211yescharacteristic, complemented
201#10622372C2211yescharacteristic
202#10622369C2211yescharacteristic
203C22×D4×C11C2311yescharacteristic
204C22×C22⋊D11—21no—
205C22×C22⋊D11—21no—
206C2×#4343—21no—
207C2×#4343—21no—
208C2×D4×D11C2311yescharacteristic
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C2×#4339—21no—
212C2×#4339—21no—
213C22×D44—21no—
214C22×C4×D11—21no—
215C2×C11×M16C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×C4⋊Q8—21no—
218C11×C4⋊Q8C2311yescharacteristic
219C11×C4⋊Q8C2311yescharacteristic
220C11×#125—21no—
221C11×#125C2311yescharacteristic
222C11×#125C2311yescharacteristic
223C11×C22⋊Q8—21no—
224C11×C22⋊Q8—21no—
225C4×D4×C11—21no—
226C4×D4×C11—21no—
227C4×D4×C11C2311yescharacteristic
228C4×D4×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C11×#117C2311yescharacteristic
232C11×#117C2311yescharacteristic
233C11×#117C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—21no—
236C2×C11×C22⋊C4—21no—
237#67006—21no—
238#67006—21no—
239#67000—21no—
240#66999—21no—
241#66999—21no—
242#66999—21no—
243#66999—21no—
244#66997—21no—
245#66993C2311yescharacteristic
246#66993C2311yescharacteristic
247#66992—21no—
248#66992—21no—
249#66991C2311yescharacteristic
250#66991C2311yescharacteristic
251#66990—21no—
252#66990—21no—
253D4×Dic11C2311yescharacteristic
254D4×Dic11C2311yescharacteristic
255C2×#4323C2311yescharacteristic
256C2×#4323C2311yescharacteristic
257C2×#4323C2311yescharacteristic
258C2×#4323C2311yescharacteristic
259#66983—21no—
260#66983—21no—
261#66983—21no—
262#66983—21no—
263#66983C2311yescharacteristic
264#66983C2311yescharacteristic
265#66983C2311yescharacteristic
266#66983C2311yescharacteristic
267#66982—21no—
268#66982—21no—
269#66982—21no—
270C4×C22⋊D11—21no—
271C4×C22⋊D11—21no—
272C4×C22⋊D11—21no—
273C4×C22⋊D11—21no—
274C4×C22⋊D11—21no—
275C4×C22⋊D11C2311yescharacteristic
276C4×C22⋊D11C2311yescharacteristic
277C2×(C2×D11)⋊C4—21no—
278#66977—21no—
279C2×Dic11⋊C4—21no—
280C2×D88C2311yescharacteristic
281C2×D88C2311yescharacteristic
282C2×D88C2311yescharacteristic
283C2×D88C2311yescharacteristic
284C2×#4313C2311yescharacteristic
285C2×C8×D11C2311yescharacteristic
286C2×C8×D11C2311yescharacteristic
287C2×C8×D11C2311yescharacteristic
288#66951—21no—
289#66951—21no—
290#66951D411yescharacteristic
291#66950—21no—
292#66950—21no—
293#66949—21no—
294#66949—21no—
295#66949—21no—
296#66949—21no—
297#66949D411yescharacteristic
298#66948—21no—
299#66948—21no—
300#66948—21no—
301#66948—21no—
302#66948C2311yescharacteristic
303#66948C2311yescharacteristic
304#66948C2311yescharacteristic
305#66948C2311yescharacteristic
306#66948C2311yescharacteristic
307#66948C2311yescharacteristic
308#66947—21no—
309#66947—21no—
310#66947—21no—
311#66947—21no—
312#66947—21no—
313#66947—21no—
314#66947—21no—
315#66947—21no—
316#66947—21no—
317#66947—21no—
318#66947—21no—
319#66947D411yescharacteristic
320#66946—21no—
321#66946—21no—
322#66946C2311yescharacteristic
323#66946C2311yescharacteristic
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic
326#66946C2311yescharacteristic
327#66946C2311yescharacteristic
328#66945C2311yescharacteristic
329#66945C2311yescharacteristic
330C4⋊C4×D11—21no—
331C4⋊C4×D11—21no—
332C4⋊C4×D11—21no—
333C4⋊C4×D11—21no—
334C4⋊C4×D11C2311yescharacteristic
335C4⋊C4×D11C2311yescharacteristic
336C4⋊C4×D11C2311yescharacteristic
337C4⋊C4×D11C2311yescharacteristic
338#66943C2311yescharacteristic
339#66943C2311yescharacteristic
340#66943C2311yescharacteristic
341#66943C2311yescharacteristic
342#66942—21no—
343#66942—21no—
344#66942—21no—
345#66942D411yescharacteristic
346#66941C2311yescharacteristic
347#66941C2311yescharacteristic
348#66938—21no—
349#66938—21no—
350#66938D411yescharacteristic
351#66937—21no—
352#66937—21no—
353#66937—21no—
354#66937—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937D411yescharacteristic
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66936—21no—
369#66936D411yescharacteristic
370#66935—21no—
371#66935—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374C22⋊C4×D11—21no—
375C22⋊C4×D11—21no—
376#66932—21no—
377#66932D411yescharacteristic
378#66931—21no—
379#66931—21no—
380#66929—21no—
381#66929—21no—
382#66929—21no—
383#66928—21no—
384#66927C2311yescharacteristic
385#66927C2311yescharacteristic
386C4×D44—21no—
387C4×D44—21no—
388C4×D44—21no—
389C4×D44C2311yescharacteristic
390C4×D44C2311yescharacteristic
391C4×D44C2311yescharacteristic
392C4×D44C2311yescharacteristic
393C4×D44C2311yescharacteristic
394#66925—21no—
395#66925C2311yescharacteristic
396C42×D11C2311yescharacteristic
397#66923C2311yescharacteristic
398#66923C2311yescharacteristic
399C4×Dic22C2311yescharacteristic
400C11×#107C2311yescharacteristic
401C11×#107C2311yescharacteristic
402C11×#107C2311yescharacteristic
403C11×#107C2311yescharacteristic
404C11×#106C2311yescharacteristic
405C11×#106C2311yescharacteristic
406C11×#106C2311yescharacteristic
407C11×#106C2311yescharacteristic
408C11×C4⋊C8C2311yescharacteristic
409C11×C4⋊C8C2311yescharacteristic
410C11×C4⋊C8C2311yescharacteristic
411C11×C4⋊C8C2311yescharacteristic
412C11×#102C2311yescharacteristic
413C11×#102C2311yescharacteristic
414C11×#102C2311yescharacteristic
415C11×#102C2311yescharacteristic
416C11×#102C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420#66896C2311yescharacteristic
421#66896C2311yescharacteristic
422#66896C2311yescharacteristic
423#66896C2311yescharacteristic
424C22⋊(C11⋊C8)C2311yescharacteristic
425C22⋊(C11⋊C8)C2311yescharacteristic
426#66885C2311yescharacteristic
427#66885C2311yescharacteristic
428#66885C2311yescharacteristic
429#66885C2311yescharacteristic
430#66885C2311yescharacteristic
431#66885C2311yescharacteristic
432#66885C2311yescharacteristic
433#66885C2311yescharacteristic
434(C2×D11)⋊C8C2311yescharacteristic
435(C2×D11)⋊C8C2311yescharacteristic
436(C2×D11)⋊C8C2311yescharacteristic
437(C2×D11)⋊C8C2311yescharacteristic
438#66882C2311yescharacteristic
439#66882C2311yescharacteristic
440#66881C2311yescharacteristic
441#66881C2311yescharacteristic
442#66879C2311yescharacteristic
443#66879C2311yescharacteristic
444#66879C2311yescharacteristic
445Dic11⋊C8C2311yescharacteristic
446Dic11⋊C8C2311yescharacteristic
447Dic11⋊C8C2311yescharacteristic
448Dic11⋊C8C2311yescharacteristic
449C8×Dic11C2311yescharacteristic
450#66873C2311yescharacteristic
451#66873C2311yescharacteristic
452#66873C2311yescharacteristic
453#66873C2311yescharacteristic
454#66873C2311yescharacteristic
455#66873C2311yescharacteristic
456#66873C2311yescharacteristic
457#66873C2311yescharacteristic
458#66873C2311yescharacteristic
459#66873C2311yescharacteristic
460#66873C2311yescharacteristic
461#66873C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66872C2311yescharacteristic
465#66872C2311yescharacteristic
466#66872C2311yescharacteristic
467#66872C2311yescharacteristic
468#66871C2311yescharacteristic
469#66871C2311yescharacteristic
470#66871C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476#66867C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#62163—111nomaximal, Sylow
479C24×C11—21no—
480C23×D11—21no—
481C23×D11—21no—
482C2×Q8×C11—21no—
483C2×Q8×C11—21no—
484C2×D4×C11—22no—
485C2×D4×C11—21no—
486C2×D4×C11—41no—
487C2×D4×C11C2411yescharacteristic
488C2×D4×C11C2411yescharacteristic
489C22×C4×C11—21no—
490C22×C4×C11—21no—
491C22×C4×C11—21no—
492C22×C4×C11—21no—
493C22×C4×C11—21no—
494C22×C4×C11C2411yescharacteristic
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
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—82no—
508C2×C22⋊D11—82no—
509C2×C22⋊D11C2×D411yescharacteristic
510C2×C22⋊D11C2×D411yescharacteristic
511C22×Dic11—21no—
512C22×Dic11—21no—
513#4343—82no—
514#4343—82no—
515D4×D11—22no—
516D4×D11—22no—
517D4×D11—41no—
518D4×D11—41no—
519#4339—82no—
520#4339—82no—
521#4339—82no—
522C2×D44—21no—
523C2×D44—21no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44—21no—
532C2×D44—82no—
533C2×D44C2×D411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×D44C2411yescharacteristic
536C2×D44C2411yescharacteristic
537C2×D44C2411yescharacteristic
538C2×C4×D11—21no—
539C2×C4×D11—21no—
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×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—82no—
553C2×C4×D11C2×D411yescharacteristic
554C2×C4×D11C2×D411yescharacteristic
555C2×C4×D11C2411yescharacteristic
556C2×C4×D11C2411yescharacteristic
557C2×Dic22—21no—
558C2×Dic22—21no—
559C2×Dic22C2×D411yescharacteristic
560C11×M16—41no—
561C2×C8×C11—41no—
562C2×C8×C11C2411yescharacteristic
563C2×C8×C11C2411yescharacteristic
564C2×C8×C11C2411yescharacteristic
565C2×C8×C11C2411yescharacteristic
566C11×C4⋊C4—21no—
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4C2×D411yescharacteristic
574C11×C4⋊C4C2×D411yescharacteristic
575C11×C4⋊C4C2411yescharacteristic
576C11×C4⋊C4C2411yescharacteristic
577C11×C4⋊C4C2411yescharacteristic
578C11×C4⋊C4C2411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C4⋊C4C2411yescharacteristic
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4C2×D411yescharacteristic
588C11×C22⋊C4C2×D411yescharacteristic
589C42×C11—21no—
590C42×C11—21no—
591C42×C11C2411yescharacteristic
592C42×C11C2411yescharacteristic
593C22⋊Dic11—21no—
594C22⋊Dic11—21no—
595C22⋊Dic11—21no—
596C22⋊Dic11—21no—
597C22⋊Dic11C2×D411yescharacteristic
598C22⋊Dic11C2×D411yescharacteristic
599#4323—22no—
600#4323—22no—
601#4323—41no—
602#4323—41no—
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)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
626(C2×D11)⋊C4C2×D411yescharacteristic
627(C2×D11)⋊C4C2×D411yescharacteristic
628(C2×D11)⋊C4C2×D411yescharacteristic
629(C2×D11)⋊C4C2×D411yescharacteristic
630(C2×D11)⋊C4C2×D411yescharacteristic
631C4⋊Dic11—21no—
632C4⋊Dic11—21no—
633C4⋊Dic11—21no—
634C4⋊Dic11—21no—
635C4⋊Dic11C2×D411yescharacteristic
636C4⋊Dic11C2×D411yescharacteristic
637C4⋊Dic11C2411yescharacteristic
638C4⋊Dic11C2411yescharacteristic
639C4⋊Dic11C2411yescharacteristic
640C4⋊Dic11C2411yescharacteristic
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
656Dic11⋊C4C2×D411yescharacteristic
657Dic11⋊C4C2×D411yescharacteristic
658Dic11⋊C4C2×D411yescharacteristic
659Dic11⋊C4C2×D411yescharacteristic
660Dic11⋊C4C2×D411yescharacteristic
661C4×Dic11—21no—
662C4×Dic11—21no—
663C4×Dic11C2×D411yescharacteristic
664C4×Dic11C2×D411yescharacteristic
665C4×Dic11C2411yescharacteristic
666C4×Dic11C2411yescharacteristic
667C2×C11⋊C8C2411yescharacteristic
668C2×C11⋊C8C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671D88—41no—
672D88—41no—
673D88—41no—
674D88—41no—
675#4313—41no—
676C8×D11—41no—
677C8×D11—41no—
678C8×D11—41no—
679#3559—111no—
680#3519—111no—
681#3389—111no—
682#3389—111no—
683#3366—111no—
684#3366—111no—
685#3347—111no—
686#3347—111no—
687#3345—111no—
688#3345—111no—
689#3339—111no—
690#3339—111no—
691#3318—111no—
692#3318—111no—
693#3318—111no—
694#3318—111no—
695#3294—111no—
696#3294—111no—
697#3259—111no—
698#3259—111no—
699#3245—111no—
700#3241—111no—
701#3241—111no—
702#3234—111no—
703#3122—111no—
704#3122—111no—
705#3109—111no—
706#3081—111no—
707#3081D1111yescharacteristic, complemented
708C2×#478—111no—
709#2992—111no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—42no—
713C23×C11—81no—
714C23×C11—81no—
715C23×C11C22×D411yescharacteristic
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—42no—
721C22×D11—42no—
722C22×D11—42no—
723C22×D11—81no—
724C22×D11—81no—
725C22×D11—81no—
726C22×D11C22×D411yescharacteristic
727C22×D11C22×D411yescharacteristic
728Q8×C11—81no—
729Q8×C11—81no—
730D4×C11—21no—
731D4×C11—21no—
732D4×C11—21no—
733D4×C11—42no—
734D4×C112−1+412yes—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—81no—
744C2×C4×C11—81no—
745C2×C4×C11—81no—
746C2×C4×C11—81no—
747C2×C4×C11—81no—
748C2×C4×C11C22×D411yescharacteristic
749C2×C4×C11C22×D411yescharacteristic
750C2×C4×C11C22×D411yescharacteristic
751C2×C4×C11C22×D411yescharacteristic
752C2×C4×C11C22×D411yescharacteristic
753C2×C4×C11C2511yescharacteristic
754C22⋊D11—22no—
755C22⋊D11—41no—
756C22⋊D11—42no—
757C22⋊D11—42no—
758C22⋊D11—42no—
759C22⋊D11—42no—
760C22⋊D11—81no—
761C22⋊D11—81no—
762C22⋊D11—81no—
763C22⋊D11—81no—
764C22⋊D11—81no—
765C22⋊D11—81no—
766C22⋊D11—81no—
767C22⋊D11—81no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—42no—
773C2×Dic11—81no—
774C2×Dic11C22×D411yescharacteristic
775C2×Dic11C22×D411yescharacteristic
776C2×Dic11C22×D411yescharacteristic
777C2×Dic11C22×D411yescharacteristic
778C2×Dic11C22×D411yescharacteristic
779C2×Dic11C22×D411yescharacteristic
780D44—22no—
781D44—21no—
782D44—21no—
783D44—21no—
784D44—21no—
785D44—21no—
786D44—21no—
787D44—21no—
788D44—21no—
789D44—42no—
790D44—42no—
791D44—42no—
792D44—81no—
793D44—81no—
794D44—81no—
795D44—81no—
796D44—81no—
797D44—81no—
798D44—81no—
799C4×D11—22no—
800C4×D11—21no—
801C4×D11—21no—
802C4×D11—21no—
803C4×D11—21no—
804C4×D11—41no—
805C4×D11—42no—
806C4×D11—42no—
807C4×D11—81no—
808C4×D11—81no—
809C4×D11—81no—
810C4×D11—81no—
811C4×D11—81no—
812C4×D11—81no—
813C4×D11—81no—
814C4×D11—81no—
815C4×D11—81no—
816C4×D11—81no—
817C4×D11—81no—
818C4×D11—81no—
819Dic22—41no—
820Dic22—81no—
821Dic22—81no—
822C8×C11—21no—
823C8×C11—21no—
824C8×C11—21no—
825C8×C11—21no—
826C11⋊C8—21no—
827C11⋊C8—21no—
828C11⋊C8—21no—
829C11⋊C8—21no—
830#563—221no—
831#562—221no—
832#555—111no—
833#554—111no—
834#554—111no—
835#554—111no—
836#553—111no—
837#553—111no—
838#553—111no—
839#553—111no—
840#553—111no—
841#553—111no—
842#553—221no—
843#550—111no—
844#547—111no—
845#547—111no—
846#547—221no—
847#547—221no—
848#546—221no—
849#546—221no—
850#546—221no—
851D42—111no—
852D42—111no—
853D42—111no—
854#544—111no—
855#544C2×D1111yescharacteristic, complemented
856#540—111no—
857#540—111no—
858#540—111no—
859#540—111no—
860#539—221no—
861#539—221no—
862#539—221no—
863#538—221no—
864#538—221no—
865#537—221no—
866#532—111no—
867#532—111no—
868#529—111no—
869C2×#125—111no—
870#525—221no—
871C2×#121—221no—
872#518—111no—
873#518C2×D1111yescharacteristic
874C2×C4×D4—111no—
875#501—111no—
876#501—111no—
877#501—111no—
878#501—111no—
879#499—111no—
880#499—111no—
881#490—111no—
882#490—111no—
883#490—111no—
884#490—111no—
885#486—111no—
886#486—111no—
887#482—111no—
888#482—111no—
889#482—111no—
890#482—111no—
891#482—111no—
892#482—111no—
893#482—111no—
894#482—111no—
895#481—111no—
896#481—111no—
897#481—111no—
898#481—111no—
899#481—111no—
900#481—111no—
901#480—111no—
902#480—111no—
903#480—111no—
904#480—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#478—111no—
914#478—111no—
915#478—111no—
916#478—111no—
917#478—111no—
918#478—111no—
919#478—111no—
920#478—111no—
921#478C2×D1111yescharacteristic
922#478C2×D1111yescharacteristic
923#478C2×D1111yescharacteristic, complemented
924#478C2×D1111yescharacteristic, complemented
925#476—111no—
926#476—111no—
927#476C2×D1111yescharacteristic
928#476C2×D1111yescharacteristic, complemented
929#474—111no—
930#474—111no—
931#474—111no—
932#474—111no—
933#474C2×D1111yescharacteristic
934#474C2×D1111yescharacteristic, complemented
935#469—111no—
936#469—111no—
937#469—111no—
938#469—111no—
939#466—111no—
940#466—111no—
941#466—111no—
942#466—111no—
943#466—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459—111no—
952#459—111no—
953#459—111no—
954#459—111no—
955#459—111no—
956#459—111no—
957#447—111no—
958#447—111no—
959#447—111no—
960#447—111no—
961#447—111no—
962#447—111no—
963#446—111no—
964#446—111no—
965#442—111no—
966#442—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442—111no—
972#442—111no—
973C4×D8—111no—
974C4×D8—111no—
975C4×D8—111no—
976C4×D8—111no—
977#435—111no—
978#435—111no—
979#435—111no—
980#435—111no—
981C8×D4—111no—
982C8×D4—111no—
983#433—111no—
984#433—111no—
985#432—111no—
986#428—111no—
987#428C2×D1111yescharacteristic, complemented
988#427—111no—
989#427C2×D1111yescharacteristic, complemented
990C2×#107—111no—
991C2×#106—111no—
992#424—111no—
993#424C2×D1111yescharacteristic, complemented
994C2×C4⋊C8—111no—
995#418—111no—
996#418C2×D1111yescharacteristic
997C2×#102—111no—
998C2×#102—111no—
999C2×#102—111no—
1000C2×#102C2×D1111yescharacteristic
1001C22×C11—21no—
1002C22×C11—21no—
1003C22×C11—22no—
1004C22×C11—21no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—162no—
1011C22×C11C23×D411yescharacteristic
1012C2×D11—21no—
1013C2×D11—21no—
1014C2×D11—21no—
1015C2×D11—21no—
1016C2×D11—21no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—84no—
1030C2×D11—162no—
1031C2×D11#57612yes—
1032C4×C11—21no—
1033C4×C11—21no—
1034C4×C11—21no—
1035C4×C11—21no—
1036C4×C11—21no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11C2×2−1+411yescharacteristic
1044C4×C11#58511yescharacteristic
1045Dic11—21no—
1046Dic11—21no—
1047Dic11—21no—
1048Dic11—21no—
1049Dic11—21no—
1050Dic11—21no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C2×#41—221no—
1056C2×#41—221no—
1057C2×#41—221no—
1058C2×#41—221no—
1059C2×#41—221no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—221no—
1063C22×D4—221no—
1064C22×D4—221no—
1065C22×D4C22×D1111yescharacteristic
1066C23×C4—221no—
1067C2×D8—111no—
1068C2×D8—111no—
1069C2×D8—111no—
1070C2×D8—111no—
1071C2×D8—111no—
1072C2×D8—111no—
1073C2×D8—111no—
1074C2×D8—111no—
1075C2×M16—111no—
1076C2×M16C22×D1111yescharacteristic
1077C22×C8—111no—
1078C22×C8—111no—
1079C22×C8—111no—
1080C22×C8C22×D1111yescharacteristic
1081C4⋊Q8—21no—
1082C4⋊Q8—111no—
1083C4⋊Q8—111no—
1084C4⋊Q8—221no—
1085C4⋊Q8C22×D1111yescharacteristic
1086C4⋊Q8C22×D1111yescharacteristic
1087#127—111no—
1088#127—111no—
1089#127—111no—
1090#127—111no—
1091#126—111no—
1092#126—111no—
1093#126—221no—
1094#126—221no—
1095#126—221no—
1096#126—221no—
1097#126—221no—
1098#126—221no—
1099#125—21no—
1100#125—111no—
1101#125—111no—
1102#125—111no—
1103#125—111no—
1104#125—111no—
1105#125—111no—
1106#125—111no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125C22×D1111yescharacteristic
1111#125C22×D1111yescharacteristic
1112#124—111no—
1113#124—221no—
1114#124—221no—
1115#124—221no—
1116#124—221no—
1117#123—111no—
1118#123—111no—
1119#123—221no—
1120#123—221no—
1121#123—221no—
1122#123—221no—
1123#123—221no—
1124#123—221no—
1125#123—221no—
1126#123—221no—
1127#123—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—
1136#123—221no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—111no—
1140C22⋊Q8—221no—
1141C22⋊Q8—221no—
1142C22⋊Q8—221no—
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—
1153#121—111no—
1154#121—111no—
1155#121—111no—
1156#121—111no—
1157#121—111no—
1158#121—111no—
1159#121—111no—
1160#121—111no—
1161#121—111no—
1162#121—111no—
1163#121—111no—
1164#121—111no—
1165#121—111no—
1166#121—221no—
1167#121—221no—
1168#121—221no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#121—221no—
1173#121—221no—
1174#121—221no—
1175#121—221no—
1176#121—221no—
1177#121—221no—
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#120—221no—
1190#120—221no—
1191#120—221no—
1192#120—221no—
1193#120—221no—
1194#120—221no—
1195C4×Q8—111no—
1196C4×D4—21no—
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—111no—
1210C4×D4—111no—
1211C4×D4—111no—
1212C4×D4—111no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4C22×D1111yescharacteristic
1226C4×D4C22×D1111yescharacteristic
1227C4×D4C22×D1111yescharacteristic
1228C4×D4C22×D1111yescharacteristic
1229#117—111no—
1230#117—111no—
1231#117—111no—
1232#117—221no—
1233#117C22×D1111yescharacteristic
1234#117C22×D1111yescharacteristic
1235#117C22×D1111yescharacteristic
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—221no—
1241C2×C4⋊C4—221no—
1242C2×C4⋊C4—221no—
1243C2×C4⋊C4—221no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4—21no—
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—221no—
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C42—111no—
1252#107—111no—
1253#107—111no—
1254#107—111no—
1255#107—111no—
1256#107—111no—
1257#107—111no—
1258#107—111no—
1259#107—111no—
1260#107C22×D1111yescharacteristic
1261#107C22×D1111yescharacteristic
1262#107C22×D1111yescharacteristic
1263#107C22×D1111yescharacteristic
1264#106—111no—
1265#106—111no—
1266#106—111no—
1267#106—111no—
1268#106—111no—
1269#106—111no—
1270#106—111no—
1271#106—111no—
1272#106C22×D1111yescharacteristic
1273#106C22×D1111yescharacteristic
1274#106C22×D1111yescharacteristic
1275#106C22×D1111yescharacteristic
1276C4⋊C8—111no—
1277C4⋊C8—111no—
1278C4⋊C8—111no—
1279C4⋊C8—111no—
1280C4⋊C8—111no—
1281C4⋊C8—111no—
1282C4⋊C8C22×D1111yescharacteristic
1283C4⋊C8C22×D1111yescharacteristic
1284C4⋊C8C22×D1111yescharacteristic
1285C4⋊C8C22×D1111yescharacteristic
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#102—111no—
1304#102—111no—
1305#102—111no—
1306#102—111no—
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102C22×D1111yescharacteristic
1311#102C22×D1111yescharacteristic
1312#102C22×D1111yescharacteristic
1313#102C22×D1111yescharacteristic
1314#102C22×D1111yescharacteristic
1315#102C22×D1111yescharacteristic
1316#102C22×D1111yescharacteristic
1317#102C22×D1111yescharacteristic
1318C22⋊C8—111no—
1319C22⋊C8—111no—
1320C22⋊C8—111no—
1321C22⋊C8—111no—
1322C22⋊C8—111no—
1323C22⋊C8—111no—
1324#97—111no—
1325#97—111no—
1326#97—111no—
1327#97—111no—
1328C4×C8—111no—
1329C4×C8—111no—
1330C2×C11—42no—
1331C2×C11—41no—
1332C2×C11—81no—
1333C2×C11#348911yescharacteristic
1334C2×C11C2×#57611yescharacteristic
1335C2×C11#358511yescharacteristic
1336D11—22no—
1337D11—41no—
1338D11—81no—
1339D11—81no—
1340D11—81no—
1341D11—81no—
1342C24—21no—
1343C24—221no—
1344C24—221no—
1345#41—882no—
1346#41—882no—
1347#41—882no—
1348#41—882no—
1349#41—882no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—111no—
1353C2×Q8—221no—
1354C2×Q8—221no—
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—41no—
1358C2×D4—111no—
1359C2×D4—111no—
1360C2×D4—111no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—111no—
1364C2×D4—111no—
1365C2×D4—221no—
1366C2×D4—221no—
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—222no—
1378C2×D4—222no—
1379C2×D4—221no—
1380C2×D4—221no—
1381C2×D4—221no—
1382C2×D4—221no—
1383C2×D4—221no—
1384C2×D4—221no—
1385C2×D4—221no—
1386C2×D4—221no—
1387C2×D4—221no—
1388C2×D4—221no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—882no—
1392C2×D4—882no—
1393C2×D4—882no—
1394C2×D4C23×D1111yescharacteristic
1395C2×D4C23×D1111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—221no—
1406C22×C4—221no—
1407C22×C4—221no—
1408C22×C4—221no—
1409C22×C4—221no—
1410C22×C4—221no—
1411C22×C4—221no—
1412C22×C4—221no—
1413C22×C4—221no—
1414C22×C4—221no—
1415C22×C4—221no—
1416C22×C4—221no—
1417C22×C4—221no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4—221no—
1421C22×C4—882no—
1422C22×C4C23×D1111yescharacteristic
1423D8—222no—
1424D8—222no—
1425D8—441no—
1426D8—441no—
1427D8—441no—
1428D8—441no—
1429D8—441no—
1430D8—441no—
1431M16—41no—
1432M16—441no—
1433C2×C8—41no—
1434C2×C8—111no—
1435C2×C8—111no—
1436C2×C8—111no—
1437C2×C8—111no—
1438C2×C8—441no—
1439C2×C8—441no—
1440C2×C8—441no—
1441C2×C8C23×D1111yescharacteristic
1442C2×C8C23×D1111yescharacteristic
1443C2×C8C23×D1111yescharacteristic
1444C2×C8C23×D1111yescharacteristic
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—111no—
1453C4⋊C4—111no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—111no—
1457C4⋊C4—111no—
1458C4⋊C4—111no—
1459C4⋊C4—111no—
1460C4⋊C4—111no—
1461C4⋊C4—111no—
1462C4⋊C4—111no—
1463C4⋊C4—111no—
1464C4⋊C4—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⋊C4—221no—
1482C4⋊C4D4×D1111yescharacteristic
1483C4⋊C4D4×D1111yescharacteristic
1484C4⋊C4C23×D1111yescharacteristic
1485C4⋊C4C23×D1111yescharacteristic
1486C4⋊C4C23×D1111yescharacteristic
1487C4⋊C4C23×D1111yescharacteristic
1488C4⋊C4C23×D1111yescharacteristic
1489C4⋊C4C23×D1111yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—111no—
1501C22⋊C4—111no—
1502C22⋊C4—111no—
1503C22⋊C4—111no—
1504C22⋊C4—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—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4D4×D1111yescharacteristic
1531C22⋊C4D4×D1111yescharacteristic
1532C42—21no—
1533C42—21no—
1534C42—111no—
1535C42—111no—
1536C42—111no—
1537C42—111no—
1538C42—221no—
1539C42—221no—
1540C42C23×D1111yescharacteristic
1541C42C23×D1111yescharacteristic
1542C11#6216311yescharacteristic, complemented, Sylow
1543C23—21no—
1544C23—21no—
1545C23—42no—
1546C23—81no—
1547C23—81no—
1548C23—111no—
1549C23—111no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—442no—
1555C23—442no—
1556C23—442no—
1557C23—881no—
1558C23—881no—
1559C23—881no—
1560C23C2×D4×D1111yescharacteristic
1561Q8—81no—
1562Q8—81no—
1563Q8—441no—
1564Q8—881no—
1565Q8—881no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—222no—
1571D4—222no—
1572D4—221no—
1573D4—221no—
1574D4—221no—
1575D4—221no—
1576D4—221no—
1577D4—221no—
1578D4—221no—
1579D4—221no—
1580D4—442no—
1581D4—442no—
1582D4—442no—
1583D4—441no—
1584D4—442no—
1585D4—442no—
1586D4—442no—
1587D4—442no—
1588D4—881no—
1589D4—881no—
1590D4—881no—
1591D4—881no—
1592D4—881no—
1593D4—881no—
1594D4—881no—
1595D4—881no—
1596D4—881no—
1597D4—881no—
1598D4—881no—
1599D4—881no—
1600D4—881no—
1601D4—881no—
1602D4—881no—
1603D4#6704012yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—111no—
1618C2×C4—111no—
1619C2×C4—111no—
1620C2×C4—111no—
1621C2×C4—111no—
1622C2×C4—111no—
1623C2×C4—222no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—441no—
1633C2×C4—442no—
1634C2×C4—442no—
1635C2×C4—442no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4—881no—
1639C2×C4—881no—
1640C2×C4—881no—
1641C2×C4—881no—
1642C2×C4—881no—
1643C2×C4—881no—
1644C2×C4—881no—
1645C2×C4—881no—
1646C2×C4—881no—
1647C2×C4—881no—
1648C2×C4—881no—
1649C2×C4C2×D4×D1111yescharacteristic
1650C2×C4C2×D4×D1111yescharacteristic
1651C2×C4C2×D4×D1111yescharacteristic
1652C2×C4C2×D4×D1111yescharacteristic
1653C2×C4C2×D4×D1111yescharacteristic
1654C2×C4C24×D1111yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—221no—
1660C8—221no—
1661C8—221no—
1662C8—221no—
1663C22—21no—
1664C22—21no—
1665C22—22no—
1666C22—21no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—112no—
1673C22—162no—
1674C22—221no—
1675C22—221no—
1676C22—221no—
1677C22—221no—
1678C22—221no—
1679C22—441no—
1680C22—441no—
1681C22—441no—
1682C22—441no—
1683C22—441no—
1684C22—441no—
1685C22—441no—
1686C22—441no—
1687C22—441no—
1688C22—441no—
1689C22—441no—
1690C22—441no—
1691C22—884no—
1692C22—1762no—
1693C22C22×D4×D1111yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—221no—
1706C4—221no—
1707C4—221no—
1708C4—221no—
1709C4—221no—
1710C4—221no—
1711C4—441no—
1712C4—441no—
1713C4—441no—
1714C4—441no—
1715C4C2×#6704011yescharacteristic
1716C4#1062345311yescharacteristic
1717C2—41no—
1718C2—42no—
1719C2—81no—
1720C2—222no—
1721C2—441no—
1722C2—881no—
1723C2—881no—
1724C2—881no—
1725C2—881no—
1726C2#1308229211yescharacteristic
1727C2D11×#57611yescharacteristic
1728C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3081C2
socleC22×C11C23×D4
hypercenter#3081D11
hypocenterC11#62163
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3081

Complements

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

NH ≅ G/Ntype
1. #13083149C2semidirect
2. #13082638C2semidirect
3. #13081574C2semidirect
4. #13081569C2semidirect
5. #13081326C2semidirect
6. #13081322C2semidirect
7. #13081117C2semidirect
8. #13081112C2semidirect
9. #13081093C2semidirect
10. #13081087C2semidirect
11. #13081018C2semidirect
12. #13081015C2semidirect
13. #13080758C2semidirect
14. #13080758C2semidirect
15. #13080754C2semidirect
16. #13080753C2semidirect
17. #13080426C2semidirect
18. #13080425C2semidirect
19. #13080055C2semidirect
20. #13080054C2semidirect
21. #13079925C2semidirect
22. #13079876C2semidirect
23. #13079869C2semidirect
24. #13079804C2semidirect
25. #13078861C2semidirect
26. #13078859C2semidirect
27. #13078709C2semidirect
28. #13078442C2semidirect
29. D11×#478C2semidirect
30. #13077753C2semidirect
31. C11×#3081C2semidirect
32. C11×#544C22semidirect
37. #10623261C22semidirect
38. #10623260C22semidirect
40. #10623257C22semidirect
41. #10623256C22semidirect
42. #10623229C22semidirect
43. #10623226C22semidirect
46. #10623221C22semidirect
47. D11×#125C22semidirect
65. #10623066C22semidirect
68. #10623061C22semidirect
69. #10623061C22semidirect
71. #10623045C22semidirect
72. #10623038C22semidirect
79. C11×#478C22semidirect
80. C11×#478C22semidirect
82. C11×#476C22semidirect
84. C11×#474C22semidirect
85. C11×#428C22semidirect
86. C11×#427C22semidirect
87. C11×#424C22semidirect
92. #10622748C22semidirect
93. #10622748C22semidirect
94. #10622740C22semidirect
95. #10622740C22semidirect
96. #10622728C22semidirect
97. #10622728C22semidirect
98. #10622724C22semidirect
99. C8×C22⋊D11C22semidirect
100. #10622701C22semidirect
101. #10622700C22semidirect
102. #10622697C22semidirect
103. #10622693C22semidirect
104. #10622680C22semidirect
105. #10622679C22semidirect
106. #10622679C22semidirect
107. #10622677C22semidirect
109. #10622628C22semidirect
111. #10622627C22semidirect
113. C4×#4323C22semidirect
115. #10622622C22semidirect
116. #10622616C22semidirect
117. #10622616C22semidirect
118. #10622616C22semidirect
119. #10622616C22semidirect
120. #10622613C22semidirect
121. #10622581C22semidirect
122. #10622580C22semidirect
123. #10622504C22semidirect
124. #10622504C22semidirect
125. #10622503C22semidirect
126. #10622503C22semidirect
127. #10622498C22semidirect
128. #10622498C22semidirect
129. #10622496C22semidirect
130. #10622496C22semidirect
131. #10622496C22semidirect
132. #10622495C22semidirect
133. #10622495C22semidirect
134. D11×#107C22semidirect
135. #10622491C22semidirect
136. #10622489C22semidirect
137. #10622489C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622484C22semidirect
141. #10622484C22semidirect
142. #10622483C22semidirect
143. #10622482C22semidirect
144. #10622482C22semidirect
145. #10622482C22semidirect
146. #10622479C22semidirect
147. #10622478C22semidirect
148. #10622476C22semidirect
149. #10622476C22semidirect
150. #10622476C22semidirect
151. #10622474C22semidirect
152. #10622473C22semidirect
153. D11×#106C22semidirect
154. #10622469C22semidirect
155. #10622460C22semidirect
156. #10622460C22semidirect
157. #10622460C22semidirect
158. #10622460C22semidirect
159. #10622456C22semidirect
160. #10622456C22semidirect
161. #10622456C22semidirect
162. #10622456C22semidirect
163. #10622453C22semidirect
164. #10622452C22semidirect
165. #10622449C22semidirect
166. #10622448C22semidirect
167. #10622447C22semidirect
168. D11×C4⋊C8C22semidirect
169. #10622444C22semidirect
170. #10622441C22semidirect
171. #10622399C22semidirect
172. #10622399C22semidirect
173. #10622399C22semidirect
174. #10622399C22semidirect
178. #10622397C22semidirect
179. #10622395C22semidirect
180. #10622390C22semidirect
181. #10622390C22semidirect
182. #10622388C22semidirect
183. #10622388C22semidirect
184. #10622388C22semidirect
185. #10622387C22semidirect
195. #10622377C22semidirect
196. #10622377C22semidirect
197. #10622377C22semidirect
200. #10622373C22semidirect
707. #3081D11semidirect
855. #544C2×D11semidirect
923. #478C2×D11semidirect
924. #478C2×D11semidirect
928. #476C2×D11semidirect
934. #474C2×D11semidirect
987. #428C2×D11semidirect
989. #427C2×D11semidirect
993. #424C2×D11semidirect
1542. C11#62163semidirect

Maximal subgroups

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

subgroupindex
#130831492
#130826382
#130815742
#130815692
#130813262
#130813222
#130811172
#130811122
#130810932
#130810872
#130810182
#130810152
#130807582
#130807542
#130807532
#130804262
#130804252
#130800552
#130800542
#130799252
#130798762
#130798692
#130798042
#130788612
#130788592
#130787092
#130784422
D11×#4782
#130777532
C11×#30812
#6216311