Finite Group Databasebeta

← #14760407

Subgroups — #14760407

Order 2816.

1086 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×#10622655C211yesmaximal, characteristic
2C2×#10622371C211yesmaximal, characteristic, complemented
3C2×M16×Dic11C211yesmaximal, characteristic, complemented
4#13071144C211yesmaximal, characteristic, complemented
5#121×Dic11C211yesmaximal, characteristic
6#13069498C211yesmaximal, characteristic, complemented
7#13069353C211yesmaximal, characteristic, complemented
8#13069310C211yesmaximal, characteristic, complemented
9#13069307C211yesmaximal, characteristic, complemented
10#13069049C211yesmaximal, characteristic, complemented
11#13068647C211yesmaximal, characteristic, complemented
12#13068508C211yesmaximal, characteristic, complemented
13#13068435C211yesmaximal, characteristic, complemented
14#102×Dic11C211yesmaximal, characteristic, complemented
15C11×#1895C211yesmaximal, characteristic
16C22×C11×M16C2211yescharacteristic
17C2×C11×#121C2211yescharacteristic
18C2×D4×Dic11—21no—
19C2×D4×Dic11C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C22×C4×Dic11C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C2×#66940C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C11×#380C2211yescharacteristic
28#10622834C2211yescharacteristic
29#10622833—21no—
30C2×#66896C2211yescharacteristic
31#10622825C2211yescharacteristic
32M16×Dic11—24no—
33C2×#66880C2211yescharacteristic
34C2×#66880C2211yescharacteristic
35C2×#66879C2211yescharacteristic
36C2×#66879C2211yescharacteristic
37C2×C8×Dic11C2211yescharacteristic
38C2×C8×Dic11C2211yescharacteristic
39#10622655C418yescomplemented
40#10622598C2211yescharacteristic
41C4⋊C4×Dic11C2211yescharacteristic
42C4⋊C4×Dic11C2211yescharacteristic
43#10622587C2211yescharacteristic
44#10622586C2211yescharacteristic
45C2×#66874C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622564—21no—
50#10622559—21no—
51C22⋊C4×Dic11—21no—
52C22⋊C4×Dic11—21no—
53#10622371—24no—
54#10622265—21no—
55#10622262—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×Dic11—21no—
66C23×Dic11D411yescharacteristic
67C23×Dic11D411yescharacteristic
68C22×Dic22C2311yescharacteristic
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C2×C11×M16—22no—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C11×#121—22no—
75C11×#121C2×C414yes—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86D4×Dic11—22no—
87D4×Dic11—22no—
88D4×Dic11—44no—
89C2×#4324—22no—
90C2×#4324—22no—
91C2×#4324C2×C414yescomplemented
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96#66977—22no—
97#66977C2×C414yescomplemented
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×C4×Dic11—22no—
102C2×C4×Dic11—22no—
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11D411yescharacteristic
107C2×C4×Dic11D411yescharacteristic
108C2×C4×Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C2×#4318—22no—
111C2×#4318—22no—
112C2×#4318C2×C414yescomplemented
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115#66940—22no—
116#66940—22no—
117C11×#102—22no—
118C11×#102—22no—
119C11×#95—21no—
120#66896C2×C414yescomplemented
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66880—22no—
129#66880—22no—
130#66879—22no—
131#66879—22no—
132C8×Dic11—22no—
133C8×Dic11D414yescomplemented
134#66874C2×C414yescomplemented
135#66872—22no—
136#66871—22no—
137#66871C2×C414yescomplemented
138C4×#468—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C2×D4×C11—24no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11C22×C412yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11C22×C412yes—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11#4112yes—
160C22×C4×C11C2411yescharacteristic
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—41no—
170C22×Dic11—41no—
171C22×Dic11—42no—
172C22×Dic11—42no—
173C22×Dic11—42no—
174C22×Dic11C2×D411yescharacteristic
175C22×Dic11C2×D411yescharacteristic
176C22×Dic11C2×D411yescharacteristic
177C22×Dic11C2×D411yescharacteristic
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22C22×C412yes—
184C11×M16—28no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11C2×D412yes—
190C2×C8×C11#4112yes—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4C22×C412yes—
197C11×C22⋊C4—24no—
198C11×C22⋊C4—42no—
199C22⋊Dic11—24no—
200C22⋊Dic11—42no—
201C22⋊Dic11—42no—
202C22⋊Dic11—42no—
203C22⋊Dic11—42no—
204#4324—28no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11C22×C412yes—
212Dic11⋊C4—24no—
213Dic11⋊C4—42no—
214Dic11⋊C4—42no—
215C4×Dic11—22no—
216C4×Dic11—22no—
217C4×Dic11—21no—
218C4×Dic11—21no—
219C4×Dic11—42no—
220C4×Dic11—42no—
221C4×Dic11—42no—
222C4×Dic11C2×D412yes—
223C4×Dic11#4112yes—
224#4318—28no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8C22×C412yes—
228C2×C11⋊C8C22×C412yes—
229C2×C11⋊C8C2×D412yes—
230C2×C11⋊C8#4112yes—
231C2×#468—111no—
232C2×C4×SD16—111no—
233C2×C4×M16—111no—
234C4×C22⋊Q8—111no—
235C4×#121—111no—
236#1973—111no—
237#1943—111no—
238#1936—111no—
239#1935—111no—
240#1895D1111yescharacteristic
241#1894—111no—
242#1809—111no—
243C4×#107—111no—
244C4×#103—111no—
245C4×#102—111no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—22no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11C4×D412yes—
260C23×C11C22×D411yescharacteristic
261D4×C11—22no—
262D4×C11—22no—
263D4×C11—48no—
264D4×C11—41no—
265D4×C11—41no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
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×C11C4×D412yes—
282C2×C4×C11C23×C411yescharacteristic
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—44no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—44no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—84no—
311C2×Dic11#12112yes—
312C2×Dic11#12112yes—
313C2×Dic11AGL(1,ℤ/8)12yes—
314C2×Dic11#13712yes—
315Dic22—22no—
316Dic22—22no—
317Dic22—41no—
318Dic22—41no—
319C8×C11—22no—
320C8×C11—22no—
321C11⋊C8—22no—
322C11⋊C8C4×D414yescomplemented
323C22×SD16—111no—
324C22×M16—111no—
325C22×M16C2×D1111yescharacteristic
326C2×C22⋊Q8—111no—
327C2×#121C2×D1111yescharacteristic
328C2×C4×Q8—111no—
329C2×C4×D4—111no—
330C2×C4×D4—221no—
331C22×C42—111no—
332#468—118no—
333C4×SD16—224no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#106—111no—
337C2×#103—111no—
338C2×#103—111no—
339C2×#103—111no—
340C2×#102—111no—
341C2×#102C2×D1111yescharacteristic
342C2×#102C2×D1111yescharacteristic
343C4×M16—224no—
344C2×#97—111no—
345C2×#97—111no—
346C2×C4×C8—111no—
347C2×C4×C8—111no—
348#391—111no—
349#390—111no—
350#389—111no—
351#389—111no—
352#388—221no—
353#387—221no—
354#386—221no—
355#385—221no—
356#380—111no—
357#380C2×D1111yescharacteristic
358C4×C4⋊C4—111no—
359C4×C4⋊C4—111no—
360C4×C4⋊C4—221no—
361C4×C22⋊C4—221no—
362C4×C22⋊C4—221no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340C2×D1111yescharacteristic
368#340C2×D1111yescharacteristic
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11C2×C4×D411yescharacteristic
384C22×C11C2×#12111yescharacteristic
385C22×C11#53211yescharacteristic
386C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C11C2×#13711yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57511yescharacteristic
390C4×C11—22no—
391C4×C11—42no—
392C4×C11—81no—
393C4×C11—81no—
394C4×C11C2×C4×D411yescharacteristic
395C4×C11C4×#4111yescharacteristic
396C4×C11#52511yescharacteristic
397C4×C11#52911yescharacteristic
398Dic11—22no—
399Dic11—42no—
400Dic11—41no—
401Dic11—41no—
402Dic11—42no—
403Dic11—81no—
404Dic11—81no—
405Dic11#46814yescomplemented
406C22×Q8—111no—
407C22×D4—21no—
408C22×D4C22×D1111yescharacteristic
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—221no—
412C23×C4C22×D1111yescharacteristic
413C2×SD16—114no—
414C2×SD16—222no—
415C2×SD16—222no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16—114no—
420C2×M16—222no—
421C2×M16—222no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426C22⋊Q8—114no—
427C22⋊Q8—222no—
428#121—22no—
429#121C4×D1114yes—
430C4×Q8—222no—
431C4×Q8—222no—
432C4×D4—222no—
433C4×D4—222no—
434C4×D4—444no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4—221no—
440C2×C4⋊C4—221no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C42—111no—
453C2×C42—111no—
454C2×C42—111no—
455C2×C42—111no—
456C2×C42—222no—
457C2×C42—222no—
458C2×C42—221no—
459C2×C42—221no—
460C2×C42—221no—
461#107—114no—
462#107—222no—
463#106—222no—
464#103—114no—
465#103—222no—
466#103—222no—
467#102—22no—
468#102—22no—
469#102—114no—
470#97—222no—
471#97—222no—
472C4×C8—114no—
473C4×C8—222no—
474#95—21no—
475#95—221no—
476#95—221no—
477#95—221no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11—42no—
483C2×C11—82no—
484C2×C11C4×#12111yescharacteristic
485C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
486C2×C11C4×#13711yescharacteristic
487C2×C11C2×#46811yescharacteristic
488C2×C11#305411yescharacteristic
489C2×C11#317111yescharacteristic
490C2×C11#317211yescharacteristic
491C24—21no—
492C24D4×D1111yescharacteristic
493C2×Q8—112no—
494C2×Q8—221no—
495C2×Q8—221no—
496C2×Q8—221no—
497C2×Q8—221no—
498C2×Q8—221no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×C4×D1112yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—111no—
516C22×C4—111no—
517C22×C4—111no—
518C22×C4—111no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—442no—
528C22×C4—442no—
529C22×C4—442no—
530C22×C4—441no—
531C22×C4—441no—
532C22×C4C2×C4×D1112yes—
533C22×C4D4×D1111yescharacteristic
534C22×C4#434112yes—
535C22×C4C23×D1111yescharacteristic
536SD16—228no—
537M16—28no—
538M16—228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—112no—
544C2×C8—112no—
545C2×C8—112no—
546C2×C8—112no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8D4×D1112yes—
550C2×C8#434112yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—112no—
557C4⋊C4—224no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—442no—
564C4⋊C4—442no—
565C4⋊C4—442no—
566C4⋊C4C2×C4×D1112yes—
567C22⋊C4—24no—
568C22⋊C4—42no—
569C22⋊C4—224no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C42—112no—
575C42—112no—
576C42—222no—
577C42—222no—
578C42—221no—
579C42—221no—
580C42—442no—
581C42—442no—
582C42—442no—
583C11C4×#46811yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23(C22⋊D11)⋊C412yes—
598C23C2×D4×D1111yescharacteristic
599Q8—222no—
600Q8—222no—
601Q8—441no—
602Q8—441no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—112no—
624C2×C4—112no—
625C2×C4—112no—
626C2×C4—112no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—444no—
638C2×C4—444no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—884no—
650C2×C4(C22⋊D11)⋊C412yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C2×D4×D1111yescharacteristic
653C2×C4C2×#434111yescharacteristic
654C2×C4C2×#434111yescharacteristic
655C2×C4#41×D1111yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C8—22no—
658C8—22no—
659C8—114no—
660C8—222no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×(C22⋊D11)⋊C411yescharacteristic
676C22#1062312711yescharacteristic
677C22D11×#12111yescharacteristic
678C22D11×AGL(1,ℤ/8)11yescharacteristic
679C22#1062330411yescharacteristic
680C22#1062330411yescharacteristic
681C22D11×#13711yescharacteristic
682C4—22no—
683C4—42no—
684C4—81no—
685C4—81no—
686C4—114no—
687C4—222no—
688C4—442no—
689C4—442no—
690C4—441no—
691C4—441no—
692C4—881no—
693C4—881no—
694C4C4×#434111yescharacteristic
695C4C4×D4×D1111yescharacteristic
696C4#1062311711yescharacteristic
697C4#1062318011yescharacteristic
698C2—42no—
699C2—82no—
700C2#1307112611yescharacteristic
701C2#1307742011yescharacteristic
702C2#1307744011yescharacteristic
703C2D11×#46811yescharacteristic
704C2#1307822311yescharacteristic
705C2#1307920611yescharacteristic
706C2#1307921511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1895C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
cosocleC22×C4×C11C24
hypercenter#1895D11
hypocenterC11C4×#468
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#10622371C2semidirect
3. C2×M16×Dic11C2semidirect
4. #13071144C2semidirect
6. #13069498C2semidirect
7. #13069353C2semidirect
8. #13069310C2semidirect
9. #13069307C2semidirect
10. #13069049C2semidirect
11. #13068647C2semidirect
12. #13068508C2semidirect
13. #13068435C2semidirect
14. #102×Dic11C2semidirect
39. #10622655C4semidirect
91. C2×#4324C2×C4semidirect
97. #66977C2×C4semidirect
112. C2×#4318C2×C4semidirect
120. #66896C2×C4semidirect
133. C8×Dic11D4semidirect
134. #66874C2×C4semidirect
137. #66871C2×C4semidirect
322. C11⋊C8C4×D4semidirect
405. Dic11#468semidirect
583. C11C4×#468semidirect

Maximal subgroups

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

subgroupindex
C2×#106226552
C2×#106223712
C2×M16×Dic112
#130711442
#121×Dic112
#130694982
#130693532
#130693102
#130693072
#130690492
#130686472
#130685082
#130684352
#102×Dic112
C11×#18952
C4×#46811