Finite Group Databasebeta

← #14755010

Subgroups — #14755010

Order 2816.

1934 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×C22⋊Q8C211yesmaximal, characteristic
2C22×#66945C211yesmaximal, characteristic
3C2×#10622415C212yesmaximal, complemented
4C2×#10622339C211yesmaximal, characteristic
5#13068927C212yesmaximal, complemented
6#13068925C212yesmaximal, complemented
7#13068924C211yesmaximal, characteristic, complemented
8#13068923C211yesmaximal, characteristic, complemented
9#13068921C211yesmaximal, characteristic, complemented
10#13068334C212yesmaximal, complemented
11C11×#1872C211yesmaximal, characteristic, complemented
12C22×Q8×D11C2211yescharacteristic
13C23×C4×D11C2211yescharacteristic
14C2×C11×C22⋊Q8C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C2×#66999C2211yescharacteristic
17C22×(C2×D11)⋊C4—21no—
18C22×C4⋊Dic11C2211yescharacteristic
19C2×#66977C2211yescharacteristic
20C22×C4×Dic11—21no—
21C22×#4313C2212yes—
22D11×C22⋊Q8—24no—
23D11×C22⋊Q8C418yescomplemented
24C2×#66950C2211yescharacteristic
25C2×#66949—21no—
26C2×#66945—21no—
27C2×#66945—21no—
28C2×#66945—28no—
29C2×#66945C2212yes—
30C2×#66945C2212yes—
31C2×C4⋊C4×D11—21no—
32C2×C4⋊C4×D11C2211yescharacteristic
33C2×C22⋊C4×D11—21no—
34C2×#66931—21no—
35C2×C11×#103C2212yescomplemented
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×#66899C2212yescomplemented
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×(C2×D11)⋊C8C2212yes—
40C2×#66880C2212yescomplemented
41C2×#66874C2212yescomplemented
42#10622415—28no—
43#10622339—24no—
44C11×#340C2212yescomplemented
45#10622189C2212yescomplemented
46#10622167C2212yescomplemented
47#10622167C2212yescomplemented
48C24×D11D411yescharacteristic
49C22×Q8×C11C2311yescharacteristic
50C23×C4×C11—21no—
51C23×C4×C11C2311yescharacteristic
52C23×Dic11—21no—
53C23×Dic11D411yescharacteristic
54C2×Q8×D11—22no—
55C2×Q8×D11—24no—
56C2×Q8×D11—24no—
57C2×Q8×D11C2×C414yescomplemented
58C22×C4×D11—24no—
59C22×C4×D11—24no—
60C22×C4×D11—21no—
61C22×C4×D11—21no—
62C22×C4×D11C2×C414yes—
63C22×C4×D11D411yescharacteristic
64C22×C4×D11D411yescharacteristic
65C22×C4×D11D414yes—
66C22×C4×D11C2311yescharacteristic
67C22×C4×D11C2311yescharacteristic
68C22×Dic22—21no—
69C22×Dic22C2311yescharacteristic
70C22×C8×C11C2312yes—
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8C2×C414yes—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—24no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2312yes—
78C2×C11×C22⋊C4—21no—
79C2×C22⋊Dic11—21no—
80#66999—22no—
81#66999C2×C414yescomplemented
82C2×(C2×D11)⋊C4—28no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—22no—
86C2×(C2×D11)⋊C4—22no—
87C2×C4⋊Dic11—21no—
88C2×C4⋊Dic11—21no—
89C2×C4⋊Dic11—24no—
90C2×C4⋊Dic11C2311yescharacteristic
91C2×C4⋊Dic11C2312yes—
92#66977—22no—
93#66977C2×C414yes—
94C2×Dic11⋊C4—21no—
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×C4×Dic11—28no—
98C2×C4×Dic11—22no—
99C2×C4×Dic11—22no—
100C22×C11⋊C8C2312yes—
101C2×#4313—24no—
102C2×#4313—24no—
103C2×#4313—24no—
104#66950—22no—
105#66950C2×C414yescomplemented
106#66949—28no—
107#66945—28no—
108#66945—28no—
109#66945—24no—
110#66945—24no—
111#66945—24no—
112#66945D418yes—
113C4⋊C4×D11—28no—
114C4⋊C4×D11—22no—
115C4⋊C4×D11C2×C414yescomplemented
116C22⋊C4×D11—28no—
117#66931—28no—
118C11×#103—24no—
119C11×C22⋊C8—22no—
120#66899—24no—
121C22⋊(C11⋊C8)—22no—
122(C2×D11)⋊C8—24no—
123#66880—24no—
124#66874—24no—
125#20911—111nomaximal, Sylow
126C24×C11C2×D411yescharacteristic
127C23×D11—22no—
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—22no—
131C23×D11—41no—
132C23×D11—41no—
133C23×D11C22⋊C414yes—
134C23×D11C2×D411yescharacteristic
135C23×D11C2×D411yescharacteristic
136C2×Q8×C11—21no—
137C2×Q8×C11—22no—
138C2×Q8×C11—22no—
139C2×Q8×C11C22×C412yes—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—24no—
143C22×C4×C11—22no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11C22×C412yes—
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D412yes—
151C22×C4×C11C2411yescharacteristic
152C22×Dic11—22no—
153C22×Dic11—22no—
154C22×Dic11—24no—
155C22×Dic11—22no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—42no—
159C22×Dic11—42no—
160C22×Dic11C22⋊C414yes—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163Q8×D11—216no—
164Q8×D11—48no—
165C2×C4×D11—22no—
166C2×C4×D11—22no—
167C2×C4×D11—216no—
168C2×C4×D11—216no—
169C2×C4×D11—24no—
170C2×C4×D11—24no—
171C2×C4×D11—22no—
172C2×C4×D11—22no—
173C2×C4×D11—22no—
174C2×C4×D11—22no—
175C2×C4×D11—42no—
176C2×C4×D11—42no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11C22⋊C414yes—
180C2×C4×D11C22⋊C414yes—
181C2×C4×D11C22×C412yes—
182C2×C4×D11C22×C412yes—
183C2×C4×D11C2×D412yes—
184C2×C4×D11C2×D412yes—
185C2×C4×D11C2×D414yes—
186C2×C4×D11#4114yes—
187C2×Dic22—24no—
188C2×Dic22—22no—
189C2×Dic22—21no—
190C2×Dic22—22no—
191C2×Dic22—42no—
192C2×Dic22—42no—
193C2×Dic22C22×C412yes—
194C2×C8×C11—22no—
195C2×C8×C11—22no—
196C2×C8×C11—22no—
197C11×C4⋊C4—24no—
198C11×C4⋊C4—24no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4C22×C412yes—
202C11×C4⋊C4C2×D414yes—
203C11×C22⋊C4—24no—
204C22⋊Dic11—24no—
205(C2×D11)⋊C4—28no—
206(C2×D11)⋊C4—24no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—28no—
209C4⋊Dic11—24no—
210C4⋊Dic11—24no—
211C4⋊Dic11—21no—
212C4⋊Dic11—22no—
213C4⋊Dic11C22×C412yes—
214C4⋊Dic11C2×D414yes—
215Dic11⋊C4—24no—
216Dic11⋊C4—24no—
217Dic11⋊C4—24no—
218C4×Dic11—28no—
219C4×Dic11—28no—
220C2×C11⋊C8—22no—
221C2×C11⋊C8—22no—
222C2×C11⋊C8—22no—
223#4313—48no—
224C22×C22⋊Q8—111no—
225C22×#117—111no—
226C2×#419—112no—
227C2×#407—111no—
228#1873—112no—
229#1873—112no—
230#1872—111no—
231#1872—111no—
232#1872—111no—
233#1872D1111yescharacteristic, complemented
234#1736—112no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11C2×C22⋊C412yes—
240C23×C11#13712yes—
241C23×C11#13712yes—
242C23×C11C22×D411yescharacteristic
243C22×D11—21no—
244C22×D11—21no—
245C22×D11—21no—
246C22×D11—21no—
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—28no—
254C22×D11—28no—
255C22×D11—44no—
256C22×D11—44no—
257C22×D11—44no—
258C22×D11—44no—
259C22×D11—44no—
260C22×D11C2×C22⋊C412yes—
261C22×D11C2×C22⋊C412yes—
262C22×D11#12012yes—
263C22×D11#12312yes—
264Q8×C11—24no—
265Q8×C11—42no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—24no—
273C2×C4×C11—48no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—42no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—42no—
280C2×C4×C11C2×C22⋊C412yes—
281C2×C4×C11C23×C411yescharacteristic
282C2×C4×C11C22×D412yes—
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C2×#4112yes—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—28no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—48no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—42no—
298C2×Dic11C2×C22⋊C412yes—
299C2×Dic11C2×C22⋊C412yes—
300C2×Dic11#12012yes—
301C2×Dic11#12312yes—
302C4×D11—28no—
303C4×D11—24no—
304C4×D11—24no—
305C4×D11—28no—
306C4×D11—48no—
307C4×D11—48no—
308C4×D11C4×D418yes—
309C4×D11#12118yes—
310Dic22—24no—
311Dic22—42no—
312Dic22—48no—
313C8×C11—42no—
314C11⋊C8—42no—
315C23×Q8—111no—
316C24×C4—111no—
317C22×M16—112no—
318C2×C22⋊Q8—111no—
319C2×C22⋊Q8—111no—
320C2×C22⋊Q8—118no—
321C2×C22⋊Q8—111no—
322C2×C22⋊Q8—221no—
323C2×C22⋊Q8—221no—
324C2×C22⋊Q8—224no—
325C2×C22⋊Q8C2×D1111yescharacteristic
326C2×#117—112no—
327C2×#117—112no—
328C2×#117—228no—
329C2×#117—221no—
330C2×#117—221no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4—111no—
333C22×C4⋊C4—221no—
334C22×C4⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4—221no—
336C22×C22⋊C4—221no—
337C22×C42—221no—
338#419—228no—
339C2×#103—112no—
340C2×#103—112no—
341C2×#103—112no—
342C2×#103C2×D1112yescomplemented
343#407—224no—
344C2×C22⋊C8—111no—
345C2×C22⋊C8—112no—
346C2×C22⋊C8C2×D1111yescharacteristic
347#340—112no—
348#340—112no—
349#340—112no—
350#340C2×D1112yescomplemented
351C22×C11—22no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11#41914yescomplemented
358C22×C11C22×C22⋊C411yescharacteristic
359C22×C11C2×#12011yescharacteristic
360C22×C11C2×#12311yescharacteristic
361C22×C11C2×#13711yescharacteristic
362C22×C11C2×#13711yescharacteristic
363C22×C11#57511yescharacteristic
364C22×C11#57511yescharacteristic
365C2×D11—22no—
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—22no—
369C2×D11—22no—
370C2×D11—22no—
371C2×D11—22no—
372C2×D11—22no—
373C2×D11—22no—
374C2×D11—416no—
375C2×D11—41no—
376C2×D11—41no—
377C2×D11—41no—
378C2×D11—41no—
379C2×D11#38614yes—
380C4×C11—22no—
381C4×C11—42no—
382C4×C11—44no—
383C4×C11—42no—
384C4×C11C2×C4×D412yes—
385C4×C11C2×#12112yes—
386Dic11—22no—
387Dic11—42no—
388Dic11—44no—
389Dic11—42no—
390Dic11#38614yes—
391C25—111no—
392C22×Q8—114no—
393C22×Q8—111no—
394C22×Q8—221no—
395C22×Q8—222no—
396C22×Q8—224no—
397C22×Q8—224no—
398C22×Q8C22×D1111yescharacteristic
399C23×C4—21no—
400C23×C4—111no—
401C23×C4—111no—
402C23×C4—114no—
403C23×C4—111no—
404C23×C4—111no—
405C23×C4—114no—
406C23×C4—111no—
407C23×C4—224no—
408C23×C4—224no—
409C23×C4—221no—
410C23×C4—221no—
411C23×C4—221no—
412C23×C4C22×D1111yescharacteristic
413C2×M16—224no—
414C2×M16—224no—
415C2×M16—224no—
416C22×C8—112no—
417C22×C8C22×D1112yes—
418C22⋊Q8—22no—
419C22⋊Q8—114no—
420C22⋊Q8—114no—
421C22⋊Q8—114no—
422C22⋊Q8—228no—
423C22⋊Q8—228no—
424C22⋊Q8—222no—
425C22⋊Q8—222no—
426C22⋊Q8—222no—
427C22⋊Q8C4×D1114yes—
428#117—118no—
429#117—224no—
430#117—224no—
431#117—228no—
432#117—228no—
433#117—224no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—24no—
437C2×C4⋊C4—112no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—114no—
440C2×C4⋊C4—222no—
441C2×C4⋊C4—228no—
442C2×C4⋊C4—224no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1112yes—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—228no—
452C2×C22⋊C4—222no—
453C2×C22⋊C4—222no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—228no—
457C2×C22⋊C4—221no—
458C2×C42—222no—
459C2×C42—222no—
460C2×C42—228no—
461#103—24no—
462#103—224no—
463#103—224no—
464#103—224no—
465C22⋊C8—22no—
466C22⋊C8—224no—
467C22⋊C8—222no—
468C2×C11—24no—
469C2×C11C2×#38611yescharacteristic
470C2×C11C2×#41911yescharacteristic
471C2×C11#289611yescharacteristic
472C2×C11#300711yescharacteristic
473C2×C11#300711yescharacteristic
474C2×C11#309511yescharacteristic
475C2×C11#309511yescharacteristic
476D11—24no—
477D11—42no—
478C24—111no—
479C24—111no—
480C24—114no—
481C24—222no—
482C24—222no—
483C24—222no—
484C24—222no—
485C24—441no—
486C24—441no—
487C24D4×D1111yescharacteristic
488C2×Q8—21no—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—112no—
492C2×Q8—224no—
493C2×Q8—2216no—
494C2×Q8—221no—
495C2×Q8—222no—
496C2×Q8—222no—
497C2×Q8—442no—
498C2×Q8—442no—
499C2×Q8—448no—
500C2×Q8C2×C4×D1112yes—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—111no—
510C22×C4—112no—
511C22×C4—112no—
512C22×C4—114no—
513C22×C4—114no—
514C22×C4—114no—
515C22×C4—111no—
516C22×C4—114no—
517C22×C4—114no—
518C22×C4—112no—
519C22×C4—112no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—2216no—
523C22×C4—2216no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—224no—
533C22×C4—222no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—442no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4C2×C4×D1112yes—
543C22×C4D4×D1111yescharacteristic
544C22×C4D4×D1112yes—
545C22×C4C23×D1111yescharacteristic
546M16—448no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—222no—
551C2×C8—222no—
552C2×C8—222no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—112no—
558C4⋊C4—114no—
559C4⋊C4—224no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—222no—
565C4⋊C4—221no—
566C4⋊C4C2×C4×D1112yes—
567C4⋊C4D4×D1114yes—
568C22⋊C4—24no—
569C22⋊C4—228no—
570C22⋊C4—224no—
571C22⋊C4—224no—
572C22⋊C4—228no—
573C22⋊C4—224no—
574C42—228no—
575C42—228no—
576C11#2091111yescharacteristic, complemented, Sylow
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—112no—
582C23—112no—
583C23—112no—
584C23—112no—
585C23—228no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—221no—
592C23—221no—
593C23—221no—
594C23—221no—
595C23—228no—
596C23—221no—
597C23—444no—
598C23—444no—
599C23—444no—
600C23—444no—
601C23—444no—
602C23C22⋊C4×D1112yes—
603C23#6696812yes—
604C23#6697112yes—
605C23C2×D4×D1111yescharacteristic
606Q8—24no—
607Q8—42no—
608Q8—224no—
609Q8—448no—
610Q8—442no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—48no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—112no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—118no—
629C2×C4—118no—
630C2×C4—112no—
631C2×C4—228no—
632C2×C4—228no—
633C2×C4—228no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—224no—
637C2×C4—224no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—224no—
641C2×C4—448no—
642C2×C4—448no—
643C2×C4—448no—
644C2×C4—442no—
645C2×C4—441no—
646C2×C4—442no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4C22⋊C4×D1112yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C2×D4×D1112yes—
653C2×C4C2×D4×D1111yescharacteristic
654C2×C4#41×D1112yes—
655C8—42no—
656C8—442no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—114no—
664C22—222no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22—222no—
669C22—222no—
670C22—222no—
671C22—222no—
672C22—222no—
673C22—4416no—
674C22—441no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22#1062241514yescomplemented
679C22C2×C22⋊C4×D1111yescharacteristic
680C22D11×#12011yescharacteristic
681C22D11×#12311yescharacteristic
682C22C2×#6696811yescharacteristic
683C22C2×#6697111yescharacteristic
684C22#1062330411yescharacteristic
685C22#1062330811yescharacteristic
686C4—22no—
687C4—44no—
688C4—42no—
689C4—42no—
690C4—114no—
691C4—222no—
692C4—444no—
693C4—442no—
694C4—442no—
695C4C4×D4×D1112yes—
696C4D11×#12112yes—
697C2—24no—
698C2—224no—
699C2—442no—
700C2D11×#38611yescharacteristic
701C2C2×#1062241511yescharacteristic
702C2#1307713211yescharacteristic
703C2#1307787111yescharacteristic
704C2#1307787511yescharacteristic
705C2#1307855911yescharacteristic
706C2#1307856111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1872C2
socleC23×C11C22×D4
prime radicalC24×D11D4
cosocleC22×C4×C11C24
hypercenter#1872D11
hypocenterC11#20911
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
3. C2×#10622415C2semidirect
5. #13068927C2semidirect
6. #13068925C2semidirect
7. #13068924C2semidirect
8. #13068923C2semidirect
9. #13068921C2semidirect
10. #13068334C2semidirect
11. C11×#1872C2semidirect
23. D11×C22⋊Q8C4semidirect
35. C2×C11×#103C22semidirect
37. C2×#66899C22semidirect
40. C2×#66880C22semidirect
41. C2×#66874C22semidirect
44. C11×#340C22semidirect
45. #10622189C22semidirect
46. #10622167C22semidirect
47. #10622167C22semidirect
57. C2×Q8×D11C2×C4semidirect
81. #66999C2×C4semidirect
105. #66950C2×C4semidirect
115. C4⋊C4×D11C2×C4semidirect
233. #1872D11semidirect
342. C2×#103C2×D11semidirect
350. #340C2×D11semidirect
357. C22×C11#419semidirect
576. C11#20911semidirect
678. C22#10622415semidirect

Maximal subgroups

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

subgroupindex
C2×D11×C22⋊Q82
C22×#669452
C2×#106224152
C2×#106223392
#130689272
#130689252
#130689242
#130689232
#130689212
#130683342
C11×#18722
#2091111