Finite Group Databasebeta

← #15617407

Subgroups — #15617407

Order 2816.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623281C211yesmaximal, characteristic
2C2×D11×#131C211yesmaximal, characteristic
3#13081815C211yesmaximal, characteristic
4#13077185C213yesmaximal, complemented
5#13077184C211yesmaximal, characteristic, complemented
6#13077183C213yesmaximal, complemented
7#13077183C213yesmaximal, complemented
8#13077182C211yesmaximal, characteristic, complemented
9#13077182C211yesmaximal, characteristic, complemented
10#13077181C213yesmaximal, complemented
11#13077178C213yesmaximal, complemented
12#13077177C213yesmaximal, complemented
13C2×#10622452C213yesmaximal, complemented
14D11×#424C213yesmaximal, complemented
15C11×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D11C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C2×C11×#131C2211yescharacteristic
19C4×C11×#41C2211yescharacteristic
20#41×Dic11C2211yescharacteristic
21C2×#67001C2211yescharacteristic
22C2×#67001C2211yescharacteristic
23#10623281—28no—
24D11×#131—28no—
25C2×#66960C2213yes—
26C2×#66960C2213yes—
27C2×M16×D11C2213yes—
28C2×M16×D11C2213yes—
29C2×#66954C2213yes—
30C2×#66954C2213yes—
31C22×#4313C2213yes—
32C22×C8×D11C2213yes—
33#10623105C411yescharacteristic
34#10623105C411yescharacteristic
35#10623103C411yescharacteristic
36#10623103C411yescharacteristic
37#10623077C413yes—
38#10623077C413yes—
39#10623076C413yes—
40#10623076C413yes—
41#10623053C2213yes—
42D11×#117C2213yes—
43C4×#4339C2213yes—
44C2×#66925C2213yes—
45C11×#424C2213yescomplemented
46C11×#424C2213yescomplemented
47C11×#423C2213yescomplemented
48C2×C11×C4⋊C8C2213yescomplemented
49#10622732C2213yescomplemented
50#10622732C2213yescomplemented
51#10622731C2213yescomplemented
52#10622731C2213yescomplemented
53#10622715C2213yescomplemented
54#10622715C2213yescomplemented
55C2×Dic11⋊C8C2213yescomplemented
56C2×Dic11⋊C8C2213yescomplemented
57#10622612C2213yescomplemented
58#10622612C2213yescomplemented
59#10622537C2213yescomplemented
60C2×C4⋊(C11⋊C8)C2213yescomplemented
61#10622452C2213yes—
62#10622452C2216yes—
63#10622452C2211yescharacteristic
64#10622452C2213yes—
65#10622452C2213yes—
66#10622452C2213yescomplemented
67#10622452C2213yescomplemented
68#10622452C2213yescomplemented
69#10622452C2213yescomplemented
70#10622452C2216yescomplemented
71#10622452C2216yescomplemented
72#10622450C2216yescomplemented
73#10622450C2216yescomplemented
74D11×C4⋊C8C2216yescomplemented
75D11×C4⋊C8C2216yescomplemented
76C2×C11×#41C2311yescharacteristic
77#41×D11D418yes—
78#41×D11Q818yes—
79C2×#4343C2×C411yescharacteristic
80C2×Q8×D11C2×C411yescharacteristic
81C2×#4341C2×C413yes—
82C2×D4×D11C2×C413yes—
83C2×#4339C2313yes—
84C22×C4×D11C2313yes—
85C11×#131—24no—
86C11×#131—24no—
87C2×C11×M16C2313yes—
88C2×C11×M16C2313yes—
89C22×C8×C11C2313yes—
90C22×C8×C11C2313yes—
91C4×Q8×C11C2×C411yescharacteristic
92C4×Q8×C11C2×C411yescharacteristic
93C4×D4×C11C2×C413yes—
94C4×D4×C11C2×C413yes—
95C11×#117C2313yes—
96C2×C42×C11C2313yes—
97#67001—24no—
98#67001—24no—
99Q8×Dic11C2×C411yescharacteristic
100Q8×Dic11C2×C411yescharacteristic
101D4×Dic11C2×C413yes—
102D4×Dic11C2×C413yes—
103C4×C22⋊D11C2×C416yes—
104C4×C22⋊D11C2×C416yes—
105C2×(C2×D11)⋊C4C2×C413yes—
106C2×(C2×D11)⋊C4C2×C413yes—
107#66979C2313yes—
108C2×Dic11⋊C4C2×C413yes—
109C2×Dic11⋊C4C2×C413yes—
110C2×C4×Dic11C2313yes—
111C2×#4318C2313yes—
112C2×#4318C2313yes—
113C22×C11⋊C8C2313yes—
114C22×C11⋊C8C2313yes—
115#66960—212no—
116#66960—212no—
117M16×D11—212no—
118M16×D11—212no—
119#66954—212no—
120#66954—212no—
121C2×#4313—212no—
122C2×#4313C2311yescharacteristic
123C2×#4313C2313yes—
124C2×#4313C2313yes—
125C2×#4313C2313yes—
126C2×#4313C2316yes—
127C2×C8×D11—212no—
128C2×C8×D11C2311yescharacteristic
129C2×C8×D11C2313yes—
130C2×C8×D11C2313yes—
131C2×C8×D11C2313yes—
132C2×C8×D11C2316yes—
133#66946C2×C413yes—
134#66946C2×C413yes—
135#66945C2×C413yes—
136#66945C2×C413yes—
137C4⋊C4×D11C2×C413yes—
138C4⋊C4×D11C2×C413yes—
139#66940C2×C413yes—
140#66940C2×C413yes—
141(C22⋊D11)⋊C4C2×C416yes—
142(C22⋊D11)⋊C4C2×C416yes—
143C22⋊C4×D11C2×C416yes—
144#66930C2×C416yes—
145C4×D44C2×C413yes—
146C4×D44C2×C413yes—
147#66925C2×C413yes—
148#66925C2×C413yes—
149#66925C2×C413yes—
150#66925C2×C413yes—
151#66925C2311yescharacteristic
152#66925C2313yes—
153#66925C2313yes—
154#66925C2313yes—
155C42×D11C2316yes—
156C4×Dic22C2×C413yes—
157C4×Dic22C2×C413yes—
158C11×C4⋊C8C2311yescharacteristic
159C11×C4⋊C8C2313yes—
160C11×C4⋊C8C2313yes—
161C11×C4⋊C8C2313yes—
162C11×C4⋊C8C2316yes—
163Dic11⋊C8C2313yes—
164Dic11⋊C8C2313yes—
165Dic11⋊C8C2316yes—
166Dic11⋊C8C2316yes—
167Dic11⋊C8C2313yes—
168Dic11⋊C8C2313yes—
169Dic11⋊C8C2313yes—
170Dic11⋊C8C2313yes—
171Dic11⋊C8C2311yescharacteristic
172Dic11⋊C8C2311yescharacteristic
173C4⋊(C11⋊C8)C2311yescharacteristic
174C4⋊(C11⋊C8)C2313yes—
175C4⋊(C11⋊C8)C2313yes—
176C4⋊(C11⋊C8)C2313yes—
177C4⋊(C11⋊C8)C2316yes—
178#60100—111nomaximal, Sylow
179C23×D11C22×C413yes—
180C11×#41C2×D414yes—
181C11×#41C2×Q814yes—
182C2×Q8×C11C22×C411yescharacteristic
183C2×D4×C11C22×C413yes—
184C22×C4×C11C22×C413yes—
185C22×C4×C11C22×C413yes—
186C22×C4×C11C2413yes—
187C2×C22⋊D11C22×C416yes—
188C22×Dic11C22×C413yes—
189C22×Dic11C22×C413yes—
190C22×Dic11C22×C413yes—
191#4343C4⋊C418yes—
192Q8×D11C4⋊C418yes—
193#4341C4⋊C4124yes—
194D4×D11C4⋊C4124yes—
195#4339C2×D4112yes—
196#4339C2×Q8112yes—
197C2×D44C22×C413yes—
198C2×C4×D11C22×C416yes—
199C2×C4×D11C22×C416yes—
200C2×C4×D11C22×C413yes—
201C2×C4×D11C22×C413yes—
202C2×C4×D11C2×D4112yes—
203C2×C4×D11C2×Q8112yes—
204C2×C4×D11C2413yes—
205C2×C4×D11C2411yescharacteristic
206C2×Dic22C22×C413yes—
207C11×M16—26no—
208C11×M16—26no—
209C2×C8×C11—26no—
210C2×C8×C11—26no—
211C2×C8×C11C2411yescharacteristic
212C2×C8×C11C2413yes—
213C2×C8×C11C2413yes—
214C2×C8×C11C2411yescharacteristic
215C11×C4⋊C4C22×C413yes—
216C11×C4⋊C4C22×C413yes—
217C11×C22⋊C4C22×C416yes—
218C42×C11C22×C413yes—
219C42×C11C22×C413yes—
220C42×C11C2413yes—
221C42×C11C2411yescharacteristic
222C22⋊Dic11C22×C416yes—
223(C2×D11)⋊C4C22×C411yescharacteristic
224(C2×D11)⋊C4C22×C411yescharacteristic
225(C2×D11)⋊C4C22×C413yes—
226(C2×D11)⋊C4C22×C413yes—
227(C2×D11)⋊C4C22×C413yes—
228(C2×D11)⋊C4C22×C413yes—
229(C2×D11)⋊C4C22×C413yes—
230(C2×D11)⋊C4C22×C413yes—
231C4⋊Dic11C22×C413yes—
232C4⋊Dic11C22×C413yes—
233Dic11⋊C4C22×C413yes—
234Dic11⋊C4C22×C413yes—
235Dic11⋊C4C22×C411yescharacteristic
236Dic11⋊C4C22×C411yescharacteristic
237Dic11⋊C4C22×C413yes—
238Dic11⋊C4C22×C413yes—
239Dic11⋊C4C22×C413yes—
240Dic11⋊C4C22×C413yes—
241C4×Dic11C22×C416yes—
242C4×Dic11C22×C416yes—
243C4×Dic11C22×C413yes—
244C4×Dic11C22×C413yes—
245C4×Dic11C2413yes—
246C4×Dic11C2411yescharacteristic
247#4318—26no—
248#4318—26no—
249C2×C11⋊C8—26no—
250C2×C11⋊C8—26no—
251C2×C11⋊C8C2411yescharacteristic
252C2×C11⋊C8C2413yes—
253C2×C11⋊C8C2413yes—
254C2×C11⋊C8C2411yescharacteristic
255#4313—22no—
256#4313—26no—
257#4313—26no—
258#4313—26no—
259#4313—212no—
260C8×D11—22no—
261C8×D11—26no—
262C8×D11—26no—
263C8×D11—26no—
264C8×D11—212no—
265C2×#568—111no—
266C22×#131—111no—
267#3428—111no—
268#2906—113no—
269#2906—113no—
270#2906—113no—
271#2906—113no—
272#2906—111no—
273#2906—111no—
274#2906—111no—
275#2906D1111yescharacteristic, complemented
276#2905—113no—
277#2905—113no—
278C2×#424—113no—
279C2×#424—113no—
280C23×C11C23×C413yes—
281C22×D11—43no—
282C22×D11—43no—
283C22×D11C2×C4⋊C4112yes—
284C22×D11C23×C411yescharacteristic
285C22×D11C23×C413yes—
286Q8×C11C2×C4⋊C414yes—
287D4×C11C2×C4⋊C4112yes—
288C2×C4×C11—43no—
289C2×C4×C11—43no—
290C2×C4×C11C23×C413yes—
291C2×C4×C11C23×C413yes—
292C2×C4×C11C23×C411yescharacteristic
293C2×C4×C11C23×C411yescharacteristic
294C2×C4×C11C23×C413yes—
295C2×C4×C11C22×D416yes—
296C2×C4×C11C22×Q816yes—
297C2×C4×C11C2511yescharacteristic
298C22⋊D11C2×C4⋊C4124yes—
299C2×Dic11—43no—
300C2×Dic11—43no—
301C2×Dic11C2×C4⋊C4112yes—
302C2×Dic11C23×C411yescharacteristic
303C2×Dic11C23×C411yescharacteristic
304C2×Dic11C23×C413yes—
305C2×Dic11C23×C413yes—
306C2×Dic11C23×C413yes—
307C2×Dic11C23×C411yescharacteristic
308D44C2×C4⋊C4112yes—
309C4×D11—46no—
310C4×D11—46no—
311C4×D11C2×C4⋊C4112yes—
312C4×D11C2×C4⋊C4112yes—
313C4×D11C22×D412yes—
314C4×D11C22×D416yes—
315C4×D11C22×Q812yes—
316C4×D11C22×Q816yes—
317Dic22C2×C4⋊C4112yes—
318C8×C11—21no—
319C8×C11—23no—
320C8×C11—23no—
321C8×C11—21no—
322C11⋊C8—21no—
323C11⋊C8—23no—
324C11⋊C8—23no—
325C11⋊C8—21no—
326C22×#41—111no—
327#568—228no—
328C2×#131—111no—
329C2×#131—111no—
330C2×#131—113no—
331C2×#131—113no—
332C2×#131—113no—
333C2×#131—113no—
334C2×#131—228no—
335C2×#131C2×D1111yescharacteristic
336C2×#131C2×D1111yescharacteristic
337C22×M16—113no—
338C22×M16—113no—
339C22×M16—113no—
340C23×C8—113no—
341#520—111no—
342#520—111no—
343#520—113no—
344#520—113no—
345#519—111no—
346#519—111no—
347#518—113no—
348#518—113no—
349C4×#41—111no—
350C4×#41—113no—
351C4×#41—113no—
352C4×#41C2×D1111yescharacteristic
353C2×#117—113no—
354C2×#117—113no—
355#424—113no—
356#424—113no—
357#424—113no—
358#424—113no—
359#424—113no—
360#424—113no—
361#424—113no—
362#424—111no—
363#424—116no—
364#424—113no—
365#424—113no—
366#424—113no—
367#424—113no—
368#424—113no—
369#424—113no—
370#424—116no—
371#424—116no—
372#424C2×D1113yescomplemented
373#424C2×D1113yescomplemented
374#423—113no—
375#423—113no—
376#423—113no—
377#423—116no—
378#423—116no—
379#423C2×D1113yescomplemented
380C2×C4⋊C8—113no—
381C2×C4⋊C8—113no—
382C2×C4⋊C8—113no—
383C2×C4⋊C8—116no—
384C2×C4⋊C8—116no—
385C2×C4⋊C8C2×D1113yescomplemented
386C22×C11—23no—
387C22×C11—23no—
388C22×C11C22×C4⋊C416yes—
389C22×C11C24×C411yescharacteristic
390C2×D11—21no—
391C2×D11—21no—
392C2×D11—23no—
393C2×D11—23no—
394C2×D11—412no—
395C2×D11C22×C4⋊C412yes—
396C2×D11C22×C4⋊C416yes—
397C4×C11—21no—
398C4×C11—21no—
399C4×C11—23no—
400C4×C11—23no—
401C4×C11C22×C4⋊C416yes—
402C4×C11C23×D411yescharacteristic
403C4×C11C23×Q811yescharacteristic
404Dic11—23no—
405Dic11—23no—
406Dic11—21no—
407Dic11—21no—
408Dic11C22×C4⋊C416yes—
409Dic11C22×C4⋊C412yes—
410C2×#41—118no—
411C2×#41—118no—
412C2×#41—111no—
413C2×#41—113no—
414C2×#41—113no—
415C2×#41C22×D1111yescharacteristic
416C22×Q8—111no—
417C22×D4—113no—
418C23×C4—113no—
419#131—24no—
420#131—24no—
421#131—2212no—
422#131—2212no—
423#131—2212no—
424#131—2212no—
425#131—224no—
426#131—224no—
427C2×M16—113no—
428C2×M16—113no—
429C2×M16—113no—
430C2×M16—111no—
431C2×M16—116no—
432C2×M16—113no—
433C2×M16—113no—
434C2×M16—2212no—
435C2×M16—2212no—
436C2×M16—2212no—
437C2×M16C22×D1113yes—
438C2×M16C22×D1113yes—
439C22×C8—113no—
440C22×C8—113no—
441C22×C8—111no—
442C22×C8—113no—
443C22×C8—113no—
444C22×C8—113no—
445C22×C8—116no—
446C22×C8—2212no—
447C22×C8C22×D1113yes—
448C22×C8C22×D1113yes—
449C4×Q8—111no—
450C4×Q8—111no—
451C4×Q8—113no—
452C4×Q8—113no—
453C4×Q8—113no—
454C4×Q8—113no—
455C4×Q8C4×D1111yescharacteristic
456C4×Q8C4×D1111yescharacteristic
457C4×D4—113no—
458C4×D4—113no—
459C4×D4—116no—
460C4×D4—116no—
461C4×D4—113no—
462C4×D4—113no—
463C4×D4—116no—
464C4×D4—116no—
465C4×D4—113no—
466C4×D4—113no—
467C4×D4C4×D1113yes—
468C4×D4C4×D1113yes—
469#117—113no—
470#117—113no—
471#117—113no—
472#117—116no—
473#117—113no—
474#117—113no—
475#117—113no—
476#117—113no—
477#117—113no—
478#117—111no—
479#117—113no—
480#117—113no—
481#117C22×D1113yes—
482C2×C4⋊C4—113no—
483C2×C4⋊C4—113no—
484C2×C4⋊C4—113no—
485C2×C4⋊C4—113no—
486C2×C22⋊C4—113no—
487C2×C22⋊C4—113no—
488C2×C22⋊C4—116no—
489C2×C42—113no—
490C2×C42—116no—
491C2×C42C22×D1113yes—
492C4⋊C8—113no—
493C4⋊C8—111no—
494C4⋊C8—113no—
495C4⋊C8—111no—
496C4⋊C8—113no—
497C4⋊C8—113no—
498C4⋊C8—116no—
499C4⋊C8—116no—
500C4⋊C8—113no—
501C4⋊C8—113no—
502C4⋊C8—113no—
503C4⋊C8—111no—
504C4⋊C8—113no—
505C4⋊C8—116no—
506C4⋊C8—113no—
507C4⋊C8C22×D1113yes—
508C4⋊C8C22×D1116yes—
509C4⋊C8C22×D1111yescharacteristic
510C4⋊C8C22×D1113yes—
511C4⋊C8C22×D1113yes—
512C2×C11—26no—
513C2×C11C23×C4⋊C411yescharacteristic
514C2×C11#357311yescharacteristic
515C2×C11#357311yescharacteristic
516D11—22no—
517D11—26no—
518C24—113no—
519#41—118no—
520#41—1124no—
521#41—1112no—
522#41—1112no—
523#41D4×D1114yes—
524#41Q8×D1114yes—
525C2×Q8—118no—
526C2×Q8—113no—
527C2×Q8C2×C4×D1111yescharacteristic
528C2×D4—116no—
529C2×D4—1124no—
530C2×D4—113no—
531C2×D4C2×C4×D1113yes—
532C22×C4—113no—
533C22×C4—113no—
534C22×C4—113no—
535C22×C4—1112no—
536C22×C4—1112no—
537C22×C4—113no—
538C22×C4—111no—
539C22×C4—113no—
540C22×C4—113no—
541C22×C4—116no—
542C22×C4—116no—
543C22×C4C2×C4×D1113yes—
544C22×C4C2×C4×D1113yes—
545C22×C4C23×D1113yes—
546M16—26no—
547M16—26no—
548M16—222no—
549M16—226no—
550M16—226no—
551M16—226no—
552M16—2212no—
553M16—226no—
554M16—226no—
555C2×C8—26no—
556C2×C8—26no—
557C2×C8—111no—
558C2×C8—111no—
559C2×C8—113no—
560C2×C8—113no—
561C2×C8—222no—
562C2×C8—226no—
563C2×C8—226no—
564C2×C8—226no—
565C2×C8—2212no—
566C2×C8—226no—
567C2×C8—226no—
568C2×C8C23×D1111yescharacteristic
569C2×C8C23×D1113yes—
570C2×C8C23×D1113yes—
571C2×C8C23×D1111yescharacteristic
572C4⋊C4—113no—
573C4⋊C4—113no—
574C4⋊C4—111no—
575C4⋊C4—111no—
576C4⋊C4—113no—
577C4⋊C4—113no—
578C4⋊C4—113no—
579C4⋊C4—113no—
580C4⋊C4—113no—
581C4⋊C4—113no—
582C4⋊C4C2×C4×D1113yes—
583C4⋊C4C2×C4×D1113yes—
584C22⋊C4—116no—
585C22⋊C4—113no—
586C22⋊C4—113no—
587C22⋊C4—111no—
588C22⋊C4—111no—
589C22⋊C4—113no—
590C22⋊C4—113no—
591C22⋊C4—113no—
592C22⋊C4—113no—
593C22⋊C4C2×C4×D1116yes—
594C42—116no—
595C42—116no—
596C42—113no—
597C42—113no—
598C42—111no—
599C42—113no—
600C42C2×C4×D1113yes—
601C42C2×C4×D1113yes—
602C42C23×D1113yes—
603C42C23×D1111yescharacteristic
604C11#6010011yescharacteristic, complemented, Sylow
605C23—111no—
606C23—113no—
607C23—1112no—
608C23—443no—
609C23—443no—
610C23C22×C4×D1113yes—
611Q8—1112no—
612Q8C4⋊C4×D1114yes—
613D4—1124no—
614D4—1112no—
615D4C4⋊C4×D11112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—1112no—
619C2×C4—113no—
620C2×C4—111no—
621C2×C4—1112no—
622C2×C4—1112no—
623C2×C4—112no—
624C2×C4—116no—
625C2×C4—112no—
626C2×C4—116no—
627C2×C4—113no—
628C2×C4—111no—
629C2×C4—113no—
630C2×C4—111no—
631C2×C4—446no—
632C2×C4—446no—
633C2×C4—443no—
634C2×C4—443no—
635C2×C4C22×C4×D1113yes—
636C2×C4C22×C4×D1113yes—
637C2×C4C22×C4×D1111yescharacteristic
638C2×C4C22×C4×D1111yescharacteristic
639C2×C4C22×C4×D1113yes—
640C2×C4C2×D4×D1116yes—
641C2×C4C2×Q8×D1116yes—
642C2×C4C24×D1111yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—221no—
648C8—223no—
649C8—223no—
650C8—221no—
651C22—23no—
652C22—23no—
653C22—112no—
654C22—116no—
655C22—223no—
656C22—221no—
657C22—223no—
658C22—221no—
659C22—4412no—
660C22C2×C4⋊C4×D1116yes—
661C22C23×C4×D1111yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—112no—
667C4—116no—
668C4—223no—
669C4—221no—
670C4—223no—
671C4—221no—
672C4C2×C4⋊C4×D1116yes—
673C4C22×D4×D1111yescharacteristic
674C4C22×Q8×D1111yescharacteristic
675C2—26no—
676C2—222no—
677C2—226no—
678C2C22×C4⋊C4×D1111yescharacteristic
679C2#1308332711yescharacteristic
680C2#1308332911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingC11×#2906C2
prime radicalC2×#41×D11C22
cosocleC2×C4×C11C25
hypercenter#2906D11
hypocenterC11#60100
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #13077185C2semidirect
5. #13077184C2semidirect
6. #13077183C2semidirect
7. #13077183C2semidirect
8. #13077182C2semidirect
9. #13077182C2semidirect
10. #13077181C2semidirect
11. #13077178C2semidirect
12. #13077177C2semidirect
13. C2×#10622452C2semidirect
14. D11×#424C2semidirect
15. C11×#2906C2semidirect
45. C11×#424C22semidirect
46. C11×#424C22semidirect
47. C11×#423C22semidirect
48. C2×C11×C4⋊C8C22semidirect
49. #10622732C22semidirect
50. #10622732C22semidirect
51. #10622731C22semidirect
52. #10622731C22semidirect
53. #10622715C22semidirect
54. #10622715C22semidirect
55. C2×Dic11⋊C8C22semidirect
56. C2×Dic11⋊C8C22semidirect
57. #10622612C22semidirect
58. #10622612C22semidirect
59. #10622537C22semidirect
60. C2×C4⋊(C11⋊C8)C22semidirect
66. #10622452C22semidirect
67. #10622452C22semidirect
68. #10622452C22semidirect
69. #10622452C22semidirect
70. #10622452C22semidirect
71. #10622452C22semidirect
72. #10622450C22semidirect
73. #10622450C22semidirect
74. D11×C4⋊C8C22semidirect
75. D11×C4⋊C8C22semidirect
275. #2906D11semidirect
372. #424C2×D11semidirect
373. #424C2×D11semidirect
379. #423C2×D11semidirect
385. C2×C4⋊C8C2×D11semidirect
604. C11#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#106232812
C2×D11×#1312
#130818152
#130771852
#130771842
#130771832
#130771822
#130771812
#130771782
#130771772
C2×#106224522
D11×#4242
C11×#29062
#6010011