Finite Group Databasebeta

← #14774618

Subgroups — #14774618

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622815C211yesmaximal, characteristic
2#13077459C211yesmaximal, characteristic, complemented
3#13077139C211yesmaximal, characteristic
4#13077138C211yesmaximal, characteristic
5#13069424C211yesmaximal, characteristic, complemented
6#13069278C211yesmaximal, characteristic, complemented
7#13069277C211yesmaximal, characteristic, complemented
8#13069134C211yesmaximal, characteristic, complemented
9#13069133C211yesmaximal, characteristic, complemented
10#13069019C211yesmaximal, characteristic, complemented
11#13068849C211yesmaximal, characteristic, complemented
12#13068846C211yesmaximal, characteristic, complemented
13#13068456C211yesmaximal, characteristic, complemented
14#13068455C211yesmaximal, characteristic, complemented
15C11×#2947C211yesmaximal, characteristic, complemented
16C2×#67042C2211yescharacteristic
17C2×C11×#137C2211yescharacteristic
18C11×#520C2211yescharacteristic
19C11×#519C2211yescharacteristic, complemented
20C2×#67001C2211yescharacteristic
21C2×#67000C2211yescharacteristic
22C2×#66995C2211yescharacteristic
23C2×#66954C2211yescharacteristic
24#10623054C2211yescharacteristic
25C11×#441—21no—
26C11×#440—21no—
27C4×C11×Q16—21no—
28C4×C11×SD16—21no—
29C11×#428C2211yescharacteristic, complemented
30C11×#416C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic, complemented
32C11×#405C2211yescharacteristic, complemented
33C2×#66901C2211yescharacteristic
34#10622845C2211yescharacteristic
35C2×#66900C2211yescharacteristic, complemented
36C2×#66899C2211yescharacteristic, complemented
37#10622815C418yescomplemented
38C2×#66889C2211yescharacteristic
39C2×#66887C2211yescharacteristic
40C2×#66885C2211yescharacteristic
41C2×C8×Dic11C2211yescharacteristic, complemented
42#10622643—21no—
43C4×#4326—21no—
44#10622639—21no—
45C4×#4325—21no—
46#10622615—21no—
47#10622615C2211yescharacteristic
48#10622614—21no—
49#10622614C2211yescharacteristic
50#10622614C2211yescharacteristic
51#10622610C2211yescharacteristic, complemented
52#10622608C2211yescharacteristic, complemented
53#10622590C2211yescharacteristic, complemented
54#10622579—21no—
55#10622579C2211yescharacteristic
56C2×#66873—21no—
57C2×#66873C2211yescharacteristic
58#10622417—21no—
59#10622416—21no—
60#10622383—21no—
61D11×#102—21no—
62#10622196C2211yescharacteristic, complemented
63#10622192C2211yescharacteristic, complemented
64#10622190C2211yescharacteristic, complemented
65#10622170C2211yescharacteristic, complemented
66#10622170C2211yescharacteristic, complemented
67#10622168C2211yescharacteristic, complemented
68C2×C11×#41C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70#67042—22no—
71#67042—22no—
72#67042—41no—
73#67042C2×C414yes—
74C2×#4343—21no—
75C2×D4×D11—21no—
76C2×D4×D11—41no—
77C2×#4339—21no—
78C2×#4339C2311yescharacteristic
79C22×D44—21no—
80C22×D44C2311yescharacteristic
81C11×#137—22no—
82C11×#137C2×C414yescomplemented
83C2×C11×Q16—21no—
84C2×C11×SD16—21no—
85C2×C11×M16C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C4×Q8×C11—21no—
88C4×Q8×C11—21no—
89C4×Q8×C11—21no—
90C4×Q8×C11—21no—
91C4×Q8×C11—21no—
92C4×D4×C11—21no—
93C4×D4×C11—41no—
94C11×#117—21no—
95C11×#117—41no—
96C11×#117C2311yescharacteristic
97C11×#117C2311yescharacteristic
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4C2311yescharacteristic
100#67001—22no—
101#67001—41no—
102#67000—41no—
103#67000C2×C414yescomplemented
104C2×#4326—21no—
105#66995—22no—
106#66995C2×C414yescomplemented
107C2×#4325—21no—
108C2×(C2×D11)⋊C4—41no—
109C2×C4⋊Dic11C2311yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C2×#4318—21no—
112C2×#4318C2311yescharacteristic
113C2×#4318C2311yescharacteristic
114C2×#4318C2311yescharacteristic
115C22×C11⋊C8—21no—
116C22×C11⋊C8C2311yescharacteristic
117#66954—22no—
118#66954—41no—
119C2×#4313—21no—
120C2×C8×D11—21no—
121#66945—21no—
122C4⋊C4×D11—21no—
123(C22⋊D11)⋊C4—41no—
124C4×D44—21no—
125C4×Dic22—21no—
126C11×#107—21no—
127C11×#106—21no—
128C11×#103—21no—
129C11×#103—21no—
130C11×#103D411yescharacteristic
131C11×#103D411yescharacteristic
132C11×#102D411yescharacteristic
133C11×#102D411yescharacteristic
134C11×#97—21no—
135C4×C8×C11—21no—
136#66901C2×C414yescomplemented
137#66900—41no—
138#66899—21no—
139#66899—21no—
140#66899—21no—
141#66896—21no—
142C11⋊#95—41no—
143#66889C2×C414yescomplemented
144#66887C2×C414yescomplemented
145#66885—21no—
146#66885—21no—
147C8×Dic11—41no—
148#66874—21no—
149#66874D411yescharacteristic
150#66874D411yescharacteristic
151#66873—21no—
152#66873—21no—
153#66873—21no—
154#66873—21no—
155#66873—21no—
156#66873—21no—
157#66873—21no—
158#66873D411yescharacteristic
159#66873D411yescharacteristic
160#66872—21no—
161#66871—21no—
162#66867—21no—
163C4×C11⋊C8—21no—
164#22896—111nomaximal, Sylow
165C23×D11—21no—
166C23×D11—41no—
167C11×#41—21no—
168C11×#41—21no—
169C11×#41C22×C412yes—
170C11×#41#4112yes—
171C2×Q8×C11—21no—
172C2×Q8×C11—21no—
173C2×Q8×C11—21no—
174C2×Q8×C11—21no—
175C2×Q8×C11—21no—
176C2×Q8×C11C22×C412yes—
177C2×Q8×C11C2×D411yescharacteristic
178C2×D4×C11—21no—
179C2×D4×C11C2×D411yescharacteristic
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—41no—
184C22×C4×C11C2411yescharacteristic
185C2×C22⋊D11—21no—
186C2×C22⋊D11—41no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189#4343—24no—
190#4343—42no—
191D4×D11—24no—
192D4×D11—44no—
193D4×D11—42no—
194D4×D11—44no—
195#4339—24no—
196#4339—21no—
197#4339—21no—
198#4339—42no—
199#4339C22×C412yes—
200#4339#4112yes—
201C2×D44—24no—
202C2×D44—21no—
203C2×D44—21no—
204C2×D44—21no—
205C2×D44—21no—
206C2×D44—21no—
207C2×D44—41no—
208C2×D44—42no—
209C2×D44C22×C412yes—
210C2×D44C2×D411yescharacteristic
211C2×C4×D11—21no—
212C2×C4×D11—41no—
213C2×C4×D11—41no—
214C2×Dic22C2×D411yescharacteristic
215C11×Q16—24no—
216C11×SD16—24no—
217C11×M16—21no—
218C11×M16C22×C412yes—
219C2×C8×C11—21no—
220C2×C8×C11—21no—
221C2×C8×C11—21no—
222C2×C8×C11C2×D411yescharacteristic
223C2×C8×C11C2×D411yescharacteristic
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—41no—
227C11×C4⋊C4—41no—
228C11×C4⋊C4—41no—
229C11×C4⋊C4C2×D411yescharacteristic
230C11×C4⋊C4C2×D411yescharacteristic
231C11×C4⋊C4C2×D411yescharacteristic
232C11×C4⋊C4C2×D411yescharacteristic
233C11×C22⋊C4—21no—
234C11×C22⋊C4—21no—
235C11×C22⋊C4—41no—
236C42×C11—21no—
237C42×C11—21no—
238C42×C11—41no—
239C42×C11—41no—
240C42×C11—41no—
241#4326—24no—
242#4325—24no—
243(C2×D11)⋊C4—44no—
244(C2×D11)⋊C4—41no—
245C4⋊Dic11—21no—
246C4⋊Dic11—21no—
247Dic11⋊C4—41no—
248C4×Dic11—21no—
249C4×Dic11—41no—
250C4×Dic11C22×C412yes—
251#4318—21no—
252#4318—21no—
253#4318—21no—
254#4318—21no—
255#4318—21no—
256#4318—42no—
257#4318C22×C412yes—
258C2×C11⋊C8—21no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8—42no—
264C2×C11⋊C8C2×D411yescharacteristic
265C2×C11⋊C8C2×D411yescharacteristic
266#4313—42no—
267C8×D11—42no—
268C2×#455—111no—
269#2947—111no—
270#2947D1111yescharacteristic, complemented
271#2897—111no—
272#2897—111no—
273#1958—111no—
274#1931—111no—
275#1931—111no—
276#1908—111no—
277#1908—111no—
278#1888—111no—
279#1860—111no—
280#1860—111no—
281#1764—111no—
282#1764—111no—
283C23×C11—21no—
284C23×C11H(5,𝔽2)11yescharacteristic
285C22×D11—21no—
286C22×D11—22no—
287C22×D11—44no—
288C22×D11—41no—
289C22×D11—41no—
290C22×D11—81no—
291C22×D11—81no—
292C22×D11—161no—
293C22×D11—161no—
294Q8×C11—21no—
295Q8×C11—22no—
296Q8×C11—22no—
297Q8×C11—41no—
298Q8×C11—41no—
299Q8×C11C4×D412yes—
300D4×C11—22no—
301D4×C11—22no—
302D4×C11—21no—
303D4×C11C4×D412yes—
304C2×C4×C11—21no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—21no—
309C2×C4×C11—21no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—81no—
316C2×C4×C11—161no—
317C2×C4×C11C23×C411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C2×#4111yescharacteristic
321C2×C4×C11C2×#4111yescharacteristic
322C2×C4×C11H(5,𝔽2)11yescharacteristic
323C22⋊D11—22no—
324C22⋊D11—22no—
325C22⋊D11—44no—
326C2×Dic11—21no—
327C2×Dic11—22no—
328C2×Dic11—41no—
329C2×Dic11—41no—
330C2×Dic11—41no—
331C2×Dic11—81no—
332D44—22no—
333D44—22no—
334D44—21no—
335D44—44no—
336D44—41no—
337D44—41no—
338D44C4×D412yes—
339C4×D11—22no—
340C4×D11—22no—
341C4×D11—44no—
342C4×D11—161no—
343Dic22—21no—
344Dic22C4×D412yes—
345C8×C11—22no—
346C8×C11—21no—
347C8×C11—21no—
348C11⋊C8—22no—
349C11⋊C8—21no—
350C11⋊C8—21no—
351C11⋊C8—41no—
352C11⋊C8—41no—
353C2×H(5,𝔽2)—111no—
354C2×#137—111no—
355C2×#137C2×D1111yescharacteristic
356C2×#131—111no—
357C2×#131—111no—
358C2×#124—111no—
359#520—111no—
360#520C2×D1111yescharacteristic
361#519C2×D1111yescharacteristic, complemented
362#455—118no—
363#441—21no—
364#441—221no—
365#440—21no—
366#440—221no—
367C4×Q16—21no—
368C4×Q16—221no—
369C4×SD16—21no—
370C4×SD16—221no—
371#428—111no—
372#428C2×D1111yescharacteristic, complemented
373C2×#104—111no—
374C2×#104—111no—
375#418—111no—
376#418—111no—
377#418—221no—
378#418—221no—
379#417—111no—
380#417—111no—
381#417—221no—
382#417—221no—
383#416—111no—
384#416—221no—
385#416—221no—
386#416C2×D1111yescharacteristic
387C2×#103—111no—
388C2×#103C2×D1111yescharacteristic, complemented
389C2×#102—111no—
390C2×#102—111no—
391C2×#102—221no—
392C2×#102—221no—
393C2×#101—111no—
394C2×#100—111no—
395#405—111no—
396#405C2×D1111yescharacteristic, complemented
397C2×C4×C8—111no—
398#382—111no—
399#343—111no—
400#343—111no—
401#341—111no—
402#341—111no—
403#339—111no—
404#339—111no—
405C22×C11—21no—
406C22×C11—21no—
407C22×C11—22no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11#51811yescharacteristic
411C22×C11D4211yescharacteristic
412C22×C11#55111yescharacteristic
413C2×D11—22no—
414C2×D11—41no—
415C2×D11—41no—
416C2×D11—42no—
417C2×D11—81no—
418C2×D11—81no—
419C2×D11—82no—
420C2×D11—164no—
421C2×D11—161no—
422C4×C11—22no—
423C4×C11—42no—
424C4×C11—41no—
425C4×C11—41no—
426C4×C11—41no—
427C4×C11—41no—
428C4×C11—81no—
429C4×C11C2×C4×D411yescharacteristic
430C4×C11C2×C4×D411yescharacteristic
431C4×C11#54611yescharacteristic
432C4×C11#54611yescharacteristic
433Dic11—22no—
434Dic11—42no—
435Dic11—81no—
436H(5,𝔽2)—114no—
437H(5,𝔽2)—222no—
438H(5,𝔽2)—222no—
439H(5,𝔽2)—441no—
440C2×#41—111no—
441C2×#41—221no—
442C2×#41—221no—
443C2×#41C22×D1111yescharacteristic
444C22×Q8C22×D1111yescharacteristic
445C22×D4—111no—
446C22×D4—221no—
447C22×D4—221no—
448C22×D4—441no—
449#137—22no—
450#137—114no—
451#137—222no—
452#137C4×D1114yescomplemented
453C2×Q16—21no—
454C2×Q16—221no—
455C2×SD16—21no—
456C2×SD16—221no—
457#131—222no—
458#131—222no—
459#131—441no—
460#131—441no—
461C2×M16—111no—
462C2×M16—111no—
463C2×M16—111no—
464C2×M16—221no—
465C2×M16—221no—
466C2×M16C22×D1111yescharacteristic
467C22×C8—111no—
468C22×C8—221no—
469C22×C8—221no—
470C22×C8C22×D1111yescharacteristic
471#124—114no—
472#124—441no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8—221no—
479C4×D4—21no—
480C4×D4—41no—
481C4×D4—221no—
482C4×D4—441no—
483#117—21no—
484#117—41no—
485#117—221no—
486#117C22×D1111yescharacteristic
487#117C22×D1111yescharacteristic
488C2×C4⋊C4—21no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C22⋊C4—441no—
493C2×C42—111no—
494#107—21no—
495#107—221no—
496#106—21no—
497#106—221no—
498#104—114no—
499#104—114no—
500#103—21no—
501#103—21no—
502#103—111no—
503#103—111no—
504#103—221no—
505#103—221no—
506#103—221no—
507#103—221no—
508#103C22⋊D1111yescharacteristic
509#103C22⋊D1111yescharacteristic
510#102—111no—
511#102—111no—
512#102—221no—
513#102—221no—
514#102—221no—
515#102—221no—
516#102—221no—
517#102—221no—
518#102—221no—
519#102—221no—
520#102—221no—
521#102—221no—
522#102C22⋊D1111yescharacteristic
523#102C22⋊D1111yescharacteristic
524#101—441no—
525#100—114no—
526#97—21no—
527#97—221no—
528C4×C8—21no—
529C4×C8—221no—
530C4×C8—441no—
531#95—441no—
532C2×C11—21no—
533C2×C11—21no—
534C2×C11—42no—
535C2×C11#235811yescharacteristic
536C2×C11#329011yescharacteristic
537C2×C11#329011yescharacteristic
538D11—42no—
539D11—82no—
540C24—221no—
541C24—441no—
542#41—21no—
543#41—21no—
544#41—112no—
545#41—112no—
546#41—224no—
547#41—221no—
548#41—221no—
549#41—224no—
550#41—442no—
551#41—442no—
552#41C2×C4×D1112yes—
553#41#433912yes—
554C2×Q8—21no—
555C2×Q8—21no—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—111no—
560C2×Q8C2×C4×D1112yes—
561C2×Q8C2×C22⋊D1111yescharacteristic
562C2×D4—21no—
563C2×D4—112no—
564C2×D4—111no—
565C2×D4—224no—
566C2×D4—221no—
567C2×D4—224no—
568C2×D4—221no—
569C2×D4—221no—
570C2×D4—221no—
571C2×D4—221no—
572C2×D4—221no—
573C2×D4—442no—
574C2×D4—441no—
575C2×D4—442no—
576C2×D4—441no—
577C2×D4—444no—
578C2×D4—444no—
579C2×D4C2×C22⋊D1111yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—41no—
584C22×C4—221no—
585C22×C4—221no—
586C22×C4—221no—
587C22×C4—441no—
588C22×C4—441no—
589C22×C4C23×D1111yescharacteristic
590Q16—24no—
591Q16—224no—
592SD16—24no—
593SD16—224no—
594M16—21no—
595M16—112no—
596M16—221no—
597M16—221no—
598M16—221no—
599M16—221no—
600M16—221no—
601M16—442no—
602M16—442no—
603M16C2×C4×D1112yes—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—111no—
608C2×C8—111no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—221no—
613C2×C8—221no—
614C2×C8—442no—
615C2×C8—442no—
616C2×C8C2×C22⋊D1111yescharacteristic
617C2×C8C2×C22⋊D1111yescharacteristic
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—41no—
621C4⋊C4—41no—
622C4⋊C4—41no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—441no—
626C4⋊C4D4×D1111yescharacteristic
627C4⋊C4D4×D1111yescharacteristic
628C4⋊C4C2×C22⋊D1111yescharacteristic
629C4⋊C4C2×C22⋊D1111yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—41no—
633C22⋊C4—444no—
634C22⋊C4—441no—
635C42—21no—
636C42—21no—
637C42—41no—
638C42—41no—
639C42—41no—
640C42—112no—
641C42—221no—
642C42—441no—
643C11#2289611yescharacteristic, complemented, Sylow
644C23—21no—
645C23—221no—
646C23—222no—
647C23—444no—
648C23—441no—
649C23—441no—
650C23—881no—
651C23—881no—
652C23—1761no—
653C23—1761no—
654C23#6703711yescharacteristic
655Q8—21no—
656Q8—22no—
657Q8—22no—
658Q8—41no—
659Q8—41no—
660Q8—112no—
661Q8—221no—
662Q8C4×C22⋊D1112yes—
663D4—22no—
664D4—22no—
665D4—21no—
666D4—112no—
667D4—222no—
668D4—222no—
669D4—222no—
670D4—222no—
671D4—221no—
672D4—444no—
673D4—444no—
674D4—441no—
675D4—441no—
676D4C4×C22⋊D1112yes—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—161no—
690C2×C4—221no—
691C2×C4—222no—
692C2×C4—222no—
693C2×C4—222no—
694C2×C4—444no—
695C2×C4—441no—
696C2×C4—441no—
697C2×C4—441no—
698C2×C4—881no—
699C2×C4—1761no—
700C2×C4C22×C4×D1111yescharacteristic
701C2×C4C2×#433911yescharacteristic
702C2×C4C2×D4×D1111yescharacteristic
703C2×C4#41×D1111yescharacteristic
704C2×C4#6704211yescharacteristic
705C2×C4C22×C22⋊D1111yescharacteristic
706C8—22no—
707C8—21no—
708C8—21no—
709C8—222no—
710C8—221no—
711C8—221no—
712C8—441no—
713C8—441no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—222no—
720C22—441no—
721C22—441no—
722C22—442no—
723C22—882no—
724C22—881no—
725C22—881no—
726C22—1761no—
727C22—1764no—
728C22#1062307611yescharacteristic
729C22#1062308711yescharacteristic
730C22D4×C22⋊D1111yescharacteristic
731C4—22no—
732C4—41no—
733C4—41no—
734C4—41no—
735C4—41no—
736C4—42no—
737C4—81no—
738C4—222no—
739C4—442no—
740C4—881no—
741C4C4×D4×D1111yescharacteristic
742C4#1062308111yescharacteristic
743C4C2×C4×C22⋊D1111yescharacteristic
744C4#1062336011yescharacteristic
745C2—21no—
746C2—21no—
747C2—42no—
748C2—442no—
749C2—882no—
750C2#1307159311yescharacteristic
751C2#1308039611yescharacteristic
752C2#1308040211yescharacteristic
subgroupG/H
centerC22D4×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2947C2
socleC22×C11D42
prime radicalC2×#67042C22
cosocleC22×C4×C11C24
hypercenter#2947D11
hypocenterC11#22896
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2947

Complements

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

NH ≅ G/Ntype
2. #13077459C2semidirect
5. #13069424C2semidirect
6. #13069278C2semidirect
7. #13069277C2semidirect
8. #13069134C2semidirect
9. #13069133C2semidirect
10. #13069019C2semidirect
11. #13068849C2semidirect
12. #13068846C2semidirect
13. #13068456C2semidirect
14. #13068455C2semidirect
15. C11×#2947C2semidirect
19. C11×#519C22semidirect
29. C11×#428C22semidirect
31. C2×C11×#103C22semidirect
32. C11×#405C22semidirect
35. C2×#66900C22semidirect
36. C2×#66899C22semidirect
37. #10622815C4semidirect
41. C2×C8×Dic11C22semidirect
51. #10622610C22semidirect
52. #10622608C22semidirect
53. #10622590C22semidirect
62. #10622196C22semidirect
63. #10622192C22semidirect
64. #10622190C22semidirect
65. #10622170C22semidirect
66. #10622170C22semidirect
67. #10622168C22semidirect
82. C11×#137C2×C4semidirect
103. #67000C2×C4semidirect
106. #66995C2×C4semidirect
136. #66901C2×C4semidirect
143. #66889C2×C4semidirect
144. #66887C2×C4semidirect
270. #2947D11semidirect
361. #519C2×D11semidirect
372. #428C2×D11semidirect
388. C2×#103C2×D11semidirect
396. #405C2×D11semidirect
452. #137C4×D11semidirect
643. C11#22896semidirect

Maximal subgroups

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

subgroupindex
C2×#106228152
#130774592
#130771392
#130771382
#130694242
#130692782
#130692772
#130691342
#130691332
#130690192
#130688492
#130688462
#130684562
#130684552
C11×#29472
#2289611