Finite Group Databasebeta

← #14721533

Subgroups — #14721533

Order 2816.

1270 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082373C211yesmaximal, characteristic
2#13077643C211yesmaximal, characteristic, complemented
3#13071553C211yesmaximal, characteristic, complemented
4#13067182C212yesmaximal, complemented
5#13067161C212yesmaximal, complemented
6#13067144C211yesmaximal, characteristic, complemented
7#13067133C211yesmaximal, characteristic, complemented
8#13067132C211yesmaximal, characteristic, complemented
9#13067122C212yesmaximal, complemented
10D11×#327C212yesmaximal, complemented
11C11×#1510C211yesmaximal, characteristic, complemented
12C2×#67037—21no—
13C2×C11×#121C2211yescharacteristic
14#10623335—21no—
15D4×C22⋊D11C412yescomplemented
16C2×#66983C2211yescharacteristic
17C2×C4×C22⋊D11C2211yescharacteristic
18#10623142C412yescomplemented
19#10623141—22no—
20#10623140C412yescomplemented
21#10623136—21no—
22D11×#121C2212yes—
23#10623128—21no—
24#10623127C2212yes—
25#10623038C412yescomplemented
26#10623021—22no—
27C11×#407C2211yescharacteristic, complemented
28C11×#381C2211yescharacteristic, complemented
29C4×C22⋊Dic11C2211yescharacteristic, complemented
30#10622820C2211yescharacteristic, complemented
31#10622740—22no—
32#10622569—21no—
33#10622558—21no—
34#10622341—22no—
35D11×C22⋊C8C2212yescomplemented
36#10622332C2212yescomplemented
37#10622280C2211yescharacteristic, complemented
38#10622279—21no—
39D11×#95C2211yescharacteristic, complemented
40#10622265—21no—
41#10622264C2211yescharacteristic, complemented
42#10622261C2211yescharacteristic, complemented
43C11×#327C2212yescomplemented
44C11×#327C2212yescomplemented
45#10622175C2212yescomplemented
46#10622175C2212yescomplemented
47#10622108C2212yescomplemented
48#10622108C2212yescomplemented
49#10622089C2212yescomplemented
50#10622089C2212yescomplemented
51C22×D4×C11—21no—
52C22×D4×C11C2×C411yescharacteristic, complemented
53C23×C4×C11C2311yescharacteristic
54C22×C22⋊D11—21no—
55C22×C22⋊D11—22no—
56C22×C22⋊D11D411yescharacteristic
57#67037—44no—
58#67037—44no—
59C2×#4341—22no—
60C2×#4341—22no—
61C2×D4×D11—22no—
62C2×D4×D11—22no—
63C2×D4×D11C2×C412yes—
64C2×#4339—22no—
65C22×D44C2×C411yescharacteristic, complemented
66C22×C4×D11—21no—
67C22×C4×D11C2311yescharacteristic
68C2×C11×M16—21no—
69C11×#121—21no—
70C11×#121—21no—
71C11×#121C2×C412yescomplemented
72C11×#121C2312yes—
73C2×C11×C4⋊C4C2×C411yescharacteristic, complemented
74C2×C11×C22⋊C4—21no—
75C2×C11×C22⋊C4—21no—
76#67006—22no—
77C2×C22⋊Dic11—21no—
78C2×C22⋊Dic11D411yescharacteristic
79#66993C2×C412yescomplemented
80#66992—22no—
81#66992—22no—
82#66992—22no—
83#66991C2×C412yes—
84#66990—22no—
85#66990—22no—
86#66988—22no—
87D4×Dic11C2×C412yescomplemented
88#66983—21no—
89#66983—21no—
90#66983C2×C412yescomplemented
91#66983C2312yes—
92#66982—22no—
93C4×C22⋊D11C2×C412yes—
94C4×C22⋊D11C2×C412yes—
95C4×C22⋊D11D412yes—
96C4×C22⋊D11D412yes—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4D411yescharacteristic
100C2×C4⋊Dic11C2×C411yescharacteristic, complemented
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4D411yescharacteristic
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11C2311yescharacteristic
106C2×#4318—21no—
107C2×C8×D11—22no—
108#66949—22no—
109#66948C2×C412yes—
110#66947—22no—
111#66946C2×C412yescomplemented
112C4⋊C4×D11C2×C412yes—
113#66941C2×C412yescomplemented
114#66938—22no—
115#66937—22no—
116#66937—22no—
117#66936—22no—
118#66935—22no—
119(C22⋊D11)⋊C4—22no—
120C22⋊C4×D11—22no—
121#66931—22no—
122C11×C22⋊C8—21no—
123C11×C22⋊C8C2312yes—
124C11×#95—21no—
125C11×#95C2311yescharacteristic
126C11×#95C2311yescharacteristic
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95C2311yescharacteristic
132C11⋊#95C2311yescharacteristic
133C22⋊(C11⋊C8)—21no—
134C22⋊(C11⋊C8)C2312yes—
135(C2×D11)⋊C8—22no—
136#66879—22no—
137Dic11⋊C8—22no—
138#17620—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C23×D11—21no—
142C23×D11—22no—
143C23×D11C2×D411yescharacteristic
144C2×D4×C11—22no—
145C2×D4×C11—22no—
146C2×D4×C11—21no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11—81no—
150C2×D4×C11C22×C412yes—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—81no—
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2411yescharacteristic
161C2×C22⋊D11—22no—
162C2×C22⋊D11—22no—
163C2×C22⋊D11—22no—
164C2×C22⋊D11—22no—
165C2×C22⋊D11—22no—
166C2×C22⋊D11—22no—
167C2×C22⋊D11—22no—
168C2×C22⋊D11—22no—
169C2×C22⋊D11—42no—
170C2×C22⋊D11—42no—
171C2×C22⋊D11—48no—
172C2×C22⋊D11C22⋊C412yes—
173C2×C22⋊D11C22⋊C412yes—
174C22×Dic11—22no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11C2×D411yescharacteristic
179C22×Dic11C2×D411yescharacteristic
180C22×Dic11C2×D411yescharacteristic
181#4341—44no—
182#4341—44no—
183#4341—48no—
184D4×D11—48no—
185D4×D11—44no—
186D4×D11—44no—
187D4×D11—82no—
188#4339—48no—
189C2×D44—22no—
190C2×D44—21no—
191C2×D44—81no—
192C2×D44C22×C412yes—
193C2×C4×D11—22no—
194C2×C4×D11—22no—
195C2×C4×D11—42no—
196C2×C4×D11—42no—
197C2×C4×D11—81no—
198C2×C4×D11—81no—
199C2×C4×D11C22×C412yes—
200C2×C4×D11C2×D412yes—
201C2×Dic22—22no—
202C11×M16—81no—
203C2×C8×C11—22no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4C22×C412yes—
206C11×C22⋊C4—22no—
207C11×C22⋊C4—22no—
208C11×C22⋊C4—81no—
209C22⋊Dic11—22no—
210C22⋊Dic11—22no—
211C22⋊Dic11—42no—
212C22⋊Dic11C22⋊C412yes—
213C22⋊Dic11C22⋊C412yes—
214(C2×D11)⋊C4—22no—
215(C2×D11)⋊C4—22no—
216(C2×D11)⋊C4—22no—
217(C2×D11)⋊C4—22no—
218(C2×D11)⋊C4—42no—
219(C2×D11)⋊C4C22⋊C412yes—
220(C2×D11)⋊C4C22⋊C412yes—
221C4⋊Dic11—21no—
222C4⋊Dic11C22×C412yes—
223Dic11⋊C4—22no—
224Dic11⋊C4—22no—
225Dic11⋊C4—81no—
226Dic11⋊C4C22⋊C412yes—
227Dic11⋊C4C22⋊C412yes—
228C4×Dic11—42no—
229C4×Dic11—81no—
230C4×Dic11C22×C412yes—
231C4×Dic11C2×D412yes—
232#4318—81no—
233C2×C11⋊C8—22no—
234C8×D11—82no—
235#3496—111no—
236#2973—111no—
237#2353—111no—
238#1519—112no—
239#1514—112no—
240#1510—111no—
241#1510D1111yescharacteristic, complemented
242#1507—111no—
243#1507—111no—
244#1505—112no—
245C2×#327—112no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—22no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—81no—
253C23×C11—81no—
254C23×C11C2×C22⋊C411yescharacteristic
255C23×C11C2×C22⋊C411yescharacteristic
256C23×C11C22×D411yescharacteristic
257C22×D11—22no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—42no—
261C22×D11—44no—
262C22×D11—82no—
263C22×D11—82no—
264C22×D11—81no—
265C22×D11—81no—
266C22×D11C2×C22⋊C412yes—
267C22×D11AGL(1,ℤ/8)12yes—
268C22×D11AGL(1,ℤ/8)12yes—
269D4×C11—42no—
270D4×C11—44no—
271D4×C11—42no—
272D4×C11—42no—
273D4×C11—81no—
274C2×C4×C11—22no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—42no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C23×C411yescharacteristic
291C2×C4×C11C22×D411yescharacteristic
292C22⋊D11—24no—
293C22⋊D11—24no—
294C22⋊D11—44no—
295C22⋊D11—44no—
296C22⋊D11—42no—
297C22⋊D11—42no—
298C22⋊D11—44no—
299C22⋊D11—82no—
300C22⋊D11—82no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—44no—
308C2×Dic11—41no—
309C2×Dic11—42no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11C2×C22⋊C412yes—
315C2×Dic11C2×C22⋊C412yes—
316C2×Dic11C2×C22⋊C412yes—
317D44—42no—
318D44—44no—
319D44—81no—
320C4×D11—42no—
321C4×D11—42no—
322C4×D11—44no—
323C4×D11—44no—
324C4×D11—84no—
325Dic22—44no—
326C8×C11—42no—
327C11⋊C8—42no—
328C2×H(5,𝔽2)—221no—
329#547—112no—
330#547—112no—
331#546—222no—
332#546—222no—
333D42—112no—
334D42—112no—
335#537—221no—
336#534—221no—
337#534—221no—
338#532—112no—
339C2×#121—111no—
340C2×#121—112no—
341C2×#121C2×D1111yescharacteristic
342C2×C4×D4—111no—
343#435—222no—
344#435—222no—
345#432—112no—
346#407—111no—
347#407C2×D1111yescharacteristic, complemented
348C2×C22⋊C8—112no—
349#388—221no—
350#387—221no—
351#386—221no—
352#383—111no—
353#381C2×D1111yescharacteristic, complemented
354#380—111no—
355C4×C22⋊C4—111no—
356C4×C22⋊C4—221no—
357#376—111no—
358C2×#95—111no—
359#327—112no—
360#327—112no—
361#327—112no—
362#327—112no—
363#327—112no—
364#327—112no—
365#327C2×D1112yescomplemented
366#327C2×D1112yescomplemented
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—21no—
374C22×C11—21no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—162no—
381C22×C11C22×C22⋊C411yescharacteristic
382C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
383C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—42no—
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—164no—
392C2×D11—162no—
393C2×D11#41814yes—
394C4×C11—21no—
395C4×C11—21no—
396C4×C11—21no—
397C4×C11—21no—
398C4×C11—42no—
399C4×C11—81no—
400C4×C11—81no—
401Dic11—22no—
402Dic11—22no—
403Dic11—22no—
404Dic11—42no—
405Dic11—42no—
406Dic11—81no—
407H(5,𝔽2)—444no—
408H(5,𝔽2)—444no—
409C2×#41—222no—
410C2×#41—222no—
411C2×#41—222no—
412C22×D4—21no—
413C22×D4—111no—
414C22×D4—112no—
415C22×D4—111no—
416C22×D4—222no—
417C22×D4—222no—
418C22×D4—222no—
419C22×D4—221no—
420C22×D4C4×D1111yescharacteristic, complemented
421C23×C4—111no—
422C23×C4—221no—
423C23×C4C22×D1111yescharacteristic
424C2×M16—21no—
425C2×M16—221no—
426C22×C8—222no—
427C4⋊Q8—112no—
428#127—112no—
429#124—222no—
430#123—222no—
431#123—222no—
432#123—222no—
433#123—222no—
434C22⋊Q8—222no—
435C22⋊Q8—222no—
436#121—21no—
437#121—21no—
438#121—112no—
439#121—112no—
440#121—112no—
441#121—112no—
442#121—222no—
443#121—222no—
444#121—222no—
445#121—222no—
446#121—222no—
447#121—221no—
448#121—221no—
449#121C4×D1112yescomplemented
450#121C22×D1112yes—
451#120—222no—
452#120—222no—
453#120—222no—
454#120—222no—
455C4×D4—112no—
456C4×D4—112no—
457C4×D4—112no—
458C4×D4—112no—
459C4×D4—112no—
460C4×D4—112no—
461C4×D4—222no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4C4×D1111yescharacteristic, complemented
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—111no—
470C2×C22⋊C4—111no—
471C2×C22⋊C4—222no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C42—111no—
476C2×C42—221no—
477C2×C42—221no—
478C4⋊C8—222no—
479C22⋊C8—21no—
480C22⋊C8—112no—
481C22⋊C8—222no—
482C22⋊C8—221no—
483C22⋊C8C22×D1112yes—
484#97—222no—
485#95—21no—
486#95—111no—
487#95—111no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95C22×D1111yescharacteristic
493#95C22×D1111yescharacteristic
494C2×C11—21no—
495C2×C11—21no—
496C2×C11—41no—
497C2×C11—41no—
498C2×C11—82no—
499C2×C11#288311yescharacteristic
500C2×C11C2×#41811yescharacteristic
501C2×C11#290111yescharacteristic
502D11—24no—
503D11—82no—
504C24—21no—
505C24—111no—
506C24—222no—
507C24—221no—
508C24D4×D1111yescharacteristic
509#41—448no—
510#41—444no—
511#41—444no—
512#41—448no—
513C2×Q8—222no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—21no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—81no—
520C2×D4—112no—
521C2×D4—112no—
522C2×D4—112no—
523C2×D4—222no—
524C2×D4—222no—
525C2×D4—222no—
526C2×D4—222no—
527C2×D4—222no—
528C2×D4—222no—
529C2×D4—222no—
530C2×D4—222no—
531C2×D4—222no—
532C2×D4—221no—
533C2×D4—448no—
534C2×D4—444no—
535C2×D4—444no—
536C2×D4—448no—
537C2×D4—442no—
538C2×D4—442no—
539C2×D4—881no—
540C2×D4—882no—
541C2×D4C2×C4×D1112yes—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—81no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—112no—
550C22×C4—112no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—881no—
560C22×C4—881no—
561C22×C4C2×C4×D1111yescharacteristic
562C22×C4C2×C4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4D4×D1111yescharacteristic
565C22×C4D4×D1111yescharacteristic
566C22×C4C23×D1111yescharacteristic
567M16—81no—
568M16—881no—
569C2×C8—22no—
570C2×C8—222no—
571C2×C8—882no—
572C4⋊C4—21no—
573C4⋊C4—112no—
574C4⋊C4—112no—
575C4⋊C4—112no—
576C4⋊C4—222no—
577C4⋊C4—222no—
578C4⋊C4—221no—
579C4⋊C4—881no—
580C4⋊C4C2×C4×D1112yes—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—81no—
584C22⋊C4—112no—
585C22⋊C4—112no—
586C22⋊C4—112no—
587C22⋊C4—112no—
588C22⋊C4—222no—
589C22⋊C4—222no—
590C22⋊C4—222no—
591C22⋊C4—222no—
592C22⋊C4—222no—
593C22⋊C4—222no—
594C22⋊C4—442no—
595C22⋊C4—442no—
596C42—112no—
597C42—112no—
598C42—442no—
599C42—881no—
600C11#1762011yescharacteristic, complemented, Sylow
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23—112no—
610C23—112no—
611C23—112no—
612C23—222no—
613C23—441no—
614C23—441no—
615C23—442no—
616C23—444no—
617C23—881no—
618C23—881no—
619C23—882no—
620C23—882no—
621C23C22⋊C4×D1111yescharacteristic
622C23C22⋊C4×D1111yescharacteristic
623C23C2×D4×D1111yescharacteristic
624Q8—444no—
625D4—42no—
626D4—44no—
627D4—42no—
628D4—42no—
629D4—81no—
630D4—224no—
631D4—224no—
632D4—442no—
633D4—444no—
634D4—444no—
635D4—444no—
636D4—444no—
637D4—442no—
638D4—442no—
639D4—881no—
640D4—882no—
641D4—882no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—112no—
657C2×C4—112no—
658C2×C4—112no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—444no—
666C2×C4—444no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—444no—
670C2×C4—441no—
671C2×C4—442no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—884no—
677C2×C4C22⋊C4×D1111yescharacteristic
678C2×C4C22⋊C4×D1111yescharacteristic
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C8—42no—
682C8—442no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—81no—
695C22—81no—
696C22—114no—
697C22—162no—
698C22—222no—
699C22—222no—
700C22—442no—
701C22—442no—
702C22—442no—
703C22—442no—
704C22—442no—
705C22—1762no—
706C22—1764no—
707C22C2×C22⋊C4×D1111yescharacteristic
708C22D11×AGL(1,ℤ/8)11yescharacteristic
709C22D11×AGL(1,ℤ/8)11yescharacteristic
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—42no—
715C4—81no—
716C4—81no—
717C4—222no—
718C4—222no—
719C4—222no—
720C4—442no—
721C4—442no—
722C4—881no—
723C2—21no—
724C2—21no—
725C2—41no—
726C2—41no—
727C2—82no—
728C2—224no—
729C2—882no—
730C2#1307707411yescharacteristic
731C2D11×#41811yescharacteristic
732C2#1307716211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1510C2
socleC22×C11C22×C22⋊C4
prime radical#13082373C2
cosocleC22×C4×C11C24
hypercenter#1510D11
hypocenterC11#17620
LCSG ▷ C2×C4×C11 ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1510

Complements

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

NH ≅ G/Ntype
2. #13077643C2semidirect
3. #13071553C2semidirect
4. #13067182C2semidirect
5. #13067161C2semidirect
6. #13067144C2semidirect
7. #13067133C2semidirect
8. #13067132C2semidirect
9. #13067122C2semidirect
10. D11×#327C2semidirect
11. C11×#1510C2semidirect
15. D4×C22⋊D11C4semidirect
18. #10623142C4semidirect
20. #10623140C4semidirect
25. #10623038C4semidirect
27. C11×#407C22semidirect
28. C11×#381C22semidirect
29. C4×C22⋊Dic11C22semidirect
30. #10622820C22semidirect
35. D11×C22⋊C8C22semidirect
36. #10622332C22semidirect
37. #10622280C22semidirect
39. D11×#95C22semidirect
41. #10622264C22semidirect
42. #10622261C22semidirect
43. C11×#327C22semidirect
44. C11×#327C22semidirect
45. #10622175C22semidirect
46. #10622175C22semidirect
47. #10622108C22semidirect
48. #10622108C22semidirect
49. #10622089C22semidirect
50. #10622089C22semidirect
52. C22×D4×C11C2×C4semidirect
65. C22×D44C2×C4semidirect
71. C11×#121C2×C4semidirect
73. C2×C11×C4⋊C4C2×C4semidirect
79. #66993C2×C4semidirect
87. D4×Dic11C2×C4semidirect
90. #66983C2×C4semidirect
100. C2×C4⋊Dic11C2×C4semidirect
111. #66946C2×C4semidirect
113. #66941C2×C4semidirect
241. #1510D11semidirect
347. #407C2×D11semidirect
353. #381C2×D11semidirect
365. #327C2×D11semidirect
366. #327C2×D11semidirect
420. C22×D4C4×D11semidirect
449. #121C4×D11semidirect
466. C2×C4⋊C4C4×D11semidirect
600. C11#17620semidirect

Maximal subgroups

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

subgroupindex
#130823732
#130776432
#130715532
#130671822
#130671612
#130671442
#130671332
#130671322
#130671222
D11×#3272
C11×#15102
#1762011