Finite Group Databasebeta

← C11×#24399 #14601592

Subgroups — C11×#24399 #14601592

Order 2816.

1450 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic
2C2×C11×#471C212yesmaximal, complemented
3C11×#3007C211yesmaximal, characteristic, complemented
4C2×C11×#450C211yesmaximal, characteristic, complemented
5C11×#2880C211yesmaximal, characteristic, complemented
6C11×#2051C212yesmaximal, complemented
7C11×#2019C212yesmaximal, complemented
8C11×#1907C212yesmaximal, complemented
9C11×#1901C211yesmaximal, characteristic, complemented
10C11×#1855C211yesmaximal, characteristic, complemented
11C11×#1783C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C23×D4×C11C2211yescharacteristic
14C2×C11×#137C2211yescharacteristic, complemented
15C2×C11×#137C2211yescharacteristic, complemented
16C2×C11×AGL(1,ℤ/8)—21no—
17C2×C11×AGL(1,ℤ/8)—21no—
18C2×C11×AGL(1,ℤ/8)—28no—
19C2×C11×AGL(1,ℤ/8)C2212yes—
20C2×C11×AGL(1,ℤ/8)C2212yes—
21C22×C11×SD16—21no—
22C22×C11×SD16C2212yescomplemented
23C22×C11×D8—21no—
24C2×C11×#131C2212yescomplemented
25C22×C11×M16C2211yescharacteristic
26C2×C11×C22⋊Q8C2211yescharacteristic
27C11×#471—28no—
28C11×#452—21no—
29C11×#452—21no—
30C11×#451—21no—
31C11×#450—21no—
32C11×#450—21no—
33C11×#450—21no—
34C11×#450—22no—
35C2×C11×#108C2212yescomplemented
36C11×#417C2211yescharacteristic, complemented
37C11×#417C2211yescharacteristic, complemented
38C2×C11×#102C2212yescomplemented
39C2×C11×#101C2212yescomplemented
40C2×C11×#100C2212yescomplemented
41C2×C11×#100C2212yescomplemented
42C11×#408—22no—
43C11×#408C2212yescomplemented
44C11×#407—21no—
45C11×#407C2211yescharacteristic
46C11×#407C2211yescharacteristic
47C2×C11×C22⋊C8—21no—
48C2×C11×C22⋊C8C2211yescharacteristic
49C11×#343C2212yescomplemented
50C11×#341C2212yescomplemented
51C25×C11—21no—
52C2×C11×#41—21no—
53C2×C11×#41—21no—
54C2×C11×#41—24no—
55C2×C11×#41—42no—
56C2×C11×#41D411yescharacteristic
57C2×C11×#41D411yescharacteristic
58C2×C11×#41C2311yescharacteristic
59C2×C11×#41C2311yescharacteristic
60C22×Q8×C11D411yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11—24no—
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11—21no—
67C22×D4×C11—21no—
68C22×D4×C11—21no—
69C22×D4×C11—42no—
70C22×D4×C11D411yescharacteristic
71C22×D4×C11C2312yes—
72C23×C4×C11—21no—
73C23×C4×C11C2311yescharacteristic
74C11×#137—24no—
75C11×#137—42no—
76C11×AGL(1,ℤ/8)—28no—
77C11×AGL(1,ℤ/8)—28no—
78C11×AGL(1,ℤ/8)—24no—
79C11×AGL(1,ℤ/8)—24no—
80C11×AGL(1,ℤ/8)—24no—
81C11×AGL(1,ℤ/8)D418yes—
82C2×C11×Q16—21no—
83C2×C11×Q16—21no—
84C2×C11×SD16—28no—
85C2×C11×SD16—22no—
86C2×C11×SD16—22no—
87C2×C11×SD16—24no—
88C2×C11×SD16—21no—
89C2×C11×SD16—21no—
90C2×C11×SD16—22no—
91C2×C11×SD16—22no—
92C2×C11×SD16—42no—
93C2×C11×D8—28no—
94C2×C11×D8—22no—
95C2×C11×D8—22no—
96C11×#131—24no—
97C11×#131—42no—
98C2×C11×M16—21no—
99C2×C11×M16—24no—
100C2×C11×M16—22no—
101C2×C11×M16C2311yescharacteristic
102C2×C11×M16C2312yes—
103C2×C11×M16C2311yescharacteristic
104C2×C11×M16C2312yes—
105C22×C8×C11—21no—
106C22×C8×C11—22no—
107C22×C8×C11C2312yes—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—21no—
112C2×C11×C4⋊C4—21no—
113C2×C11×C4⋊C4C2311yescharacteristic
114C2×C11×C22⋊C4—21no—
115C11×#108—24no—
116C11×#103—21no—
117C11×#103—21no—
118C11×#102—21no—
119C11×#102—21no—
120C11×#102—22no—
121C11×#102—22no—
122C11×#101—24no—
123C11×#100—24no—
124C11×#100—42no—
125C11×C22⋊C8—21no—
126C11×C22⋊C8—21no—
127C11×C22⋊C8—21no—
128C11×C22⋊C8—21no—
129C11×C22⋊C8—22no—
130C11×C22⋊C8—22no—
131C11×C22⋊C8D411yescharacteristic
132C11×C22⋊C8D411yescharacteristic
133C11×C22⋊C8D412yes—
134#24399C1111yesmaximal, characteristic, direct product factor, Sylow
135C24×C11—21no—
136C24×C11—22no—
137C24×C11—44no—
138C24×C11—41no—
139C24×C11—41no—
140C24×C11—82no—
141C24×C11—82no—
142C24×C11#4111yescharacteristic
143C11×#41—22no—
144C11×#41—22no—
145C11×#41—22no—
146C11×#41—22no—
147C11×#41—22no—
148C11×#41—44no—
149C11×#41—41no—
150C11×#41—41no—
151C11×#41—44no—
152C11×#41C2×D414yes—
153C2×Q8×C11—21no—
154C2×Q8×C11—22no—
155C2×Q8×C11—22no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—22no—
159C2×Q8×C11—41no—
160C2×Q8×C11C2×D411yescharacteristic
161C2×Q8×C11C2×D411yescharacteristic
162C2×D4×C11—21no—
163C2×D4×C11—24no—
164C2×D4×C11—24no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11—22no—
171C2×D4×C11—22no—
172C2×D4×C11—22no—
173C2×D4×C11—22no—
174C2×D4×C11—22no—
175C2×D4×C11—41no—
176C2×D4×C11—44no—
177C2×D4×C11—44no—
178C2×D4×C11—44no—
179C2×D4×C11—42no—
180C2×D4×C11—42no—
181C2×D4×C11—44no—
182C2×D4×C11—41no—
183C2×D4×C11—41no—
184C2×D4×C11C2×D414yes—
185C2×D4×C11C2×D411yescharacteristic
186C2×D4×C11C2×D411yescharacteristic
187C22×C4×C11—21no—
188C22×C4×C11—22no—
189C22×C4×C11—22no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—44no—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11#4111yescharacteristic
202C22×C4×C11C2411yescharacteristic
203C11×Q16—42no—
204C11×Q16—42no—
205C11×SD16—28no—
206C11×SD16—28no—
207C11×SD16—44no—
208C11×SD16—44no—
209C11×SD16—42no—
210C11×SD16—42no—
211C11×D8—28no—
212C11×D8—28no—
213C11×M16—24no—
214C11×M16—22no—
215C11×M16—22no—
216C11×M16—22no—
217C11×M16—22no—
218C11×M16—22no—
219C11×M16—44no—
220C11×M16C2×D414yes—
221C2×C8×C11—24no—
222C2×C8×C11—22no—
223C2×C8×C11—22no—
224C2×C8×C11—22no—
225C2×C8×C11—21no—
226C2×C8×C11—21no—
227C2×C8×C11—22no—
228C2×C8×C11—44no—
229C2×C8×C11C2×D412yes—
230C2×C8×C11C2×D412yes—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—41no—
234C11×C4⋊C4—41no—
235C11×C22⋊C4—41no—
236C11×C22⋊C4—41no—
237C22×AGL(1,ℤ/8)C2×C1111yescharacteristic
238C2×#471C2×C1112yescomplemented
239#3007C2×C1111yescharacteristic, complemented
240C2×#450C2×C1111yescharacteristic, complemented
241#2880C2×C1111yescharacteristic, complemented
242#2051C2×C1112yescomplemented
243#2019C2×C1112yescomplemented
244#1907C2×C1112yescomplemented
245#1901C2×C1111yescharacteristic, complemented
246#1855C2×C1111yescharacteristic, complemented
247#1783C2×C1111yescharacteristic, complemented
248C23×C11—21no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—21no—
252C23×C11—24no—
253C23×C11—41no—
254C23×C11—42no—
255C23×C11—44no—
256C23×C11—44no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—42no—
260C23×C11—81no—
261C23×C11—82no—
262C23×C11—82no—
263C23×C11—82no—
264C23×C11—82no—
265C23×C11—82no—
266C23×C11—816no—
267C23×C11—82no—
268C23×C11#12111yescharacteristic
269C23×C11#12111yescharacteristic
270C23×C11C2×#4111yescharacteristic
271Q8×C11—21no—
272Q8×C11—21no—
273Q8×C11—21no—
274Q8×C11—42no—
275Q8×C11—41no—
276Q8×C11—41no—
277Q8×C11—42no—
278Q8×C11#12012yes—
279D4×C11—24no—
280D4×C11—21no—
281D4×C11—24no—
282D4×C11—21no—
283D4×C11—21no—
284D4×C11—24no—
285D4×C11—42no—
286D4×C11—42no—
287D4×C11—44no—
288D4×C11—44no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11#12012yes—
294C2×C4×C11—21no—
295C2×C4×C11—22no—
296C2×C4×C11—21no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
300C2×C4×C11—24no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—21no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—42no—
311C2×C4×C11—81no—
312C2×C4×C11#12111yescharacteristic
313C2×C4×C11#12111yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C22×D412yes—
316C2×C4×C11C22×D411yescharacteristic
317C2×C4×C11H(5,𝔽2)12yes—
318C8×C11—24no—
319C8×C11—22no—
320C8×C11—22no—
321C8×C11—41no—
322C8×C11—41no—
323C8×C11—42no—
324C22×#41C22×C1111yescharacteristic
325C23×D4C22×C1111yescharacteristic
326C2×#137C22×C1111yescharacteristic, complemented
327C2×#137C22×C1111yescharacteristic, complemented
328C2×AGL(1,ℤ/8)—21no—
329C2×AGL(1,ℤ/8)—21no—
330C2×AGL(1,ℤ/8)—28no—
331C2×AGL(1,ℤ/8)C22×C1112yes—
332C2×AGL(1,ℤ/8)C22×C1112yes—
333C22×SD16—21no—
334C22×SD16C22×C1112yescomplemented
335C22×D8—21no—
336C2×#131C22×C1112yescomplemented
337C22×M16C22×C1111yescharacteristic
338C2×C22⋊Q8C22×C1111yescharacteristic
339#471—28no—
340#452—21no—
341#452—21no—
342#451—21no—
343#450—21no—
344#450—21no—
345#450—21no—
346#450—22no—
347C2×#108C22×C1112yescomplemented
348#417C22×C1111yescharacteristic, complemented
349#417C22×C1111yescharacteristic, complemented
350C2×#102C22×C1112yescomplemented
351C2×#101C22×C1112yescomplemented
352C2×#100C22×C1112yescomplemented
353C2×#100C22×C1112yescomplemented
354#408—22no—
355#408C22×C1112yescomplemented
356#407—21no—
357#407C22×C1111yescharacteristic
358#407C22×C1111yescharacteristic
359C2×C22⋊C8—21no—
360C2×C22⋊C8C22×C1111yescharacteristic
361#343C22×C1112yescomplemented
362#341C22×C1112yescomplemented
363C22×C11—21no—
364C22×C11—21no—
365C22×C11—21no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—22no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—44no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—44no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—84no—
379C22×C11—84no—
380C22×C11—88no—
381C22×C11—84no—
382C22×C11—88no—
383C22×C11—82no—
384C22×C11—82no—
385C22×C11#47112yescomplemented
386C22×C11C2×#12111yescharacteristic
387C22×C11#54612yes—
388C4×C11—21no—
389C4×C11—21no—
390C4×C11—22no—
391C4×C11—41no—
392C4×C11—81no—
393C4×C11—81no—
394C4×C11C2×#12011yescharacteristic
395C4×C11#53411yescharacteristic
396C4×C11D4212yes—
397C25—21no—
398C2×#41—21no—
399C2×#41—21no—
400C2×#41—24no—
401C2×#41—42no—
402C2×#41D4×C1111yescharacteristic
403C2×#41D4×C1111yescharacteristic
404C2×#41C23×C1111yescharacteristic
405C2×#41C23×C1111yescharacteristic
406C22×Q8D4×C1111yescharacteristic
407C22×Q8C23×C1111yescharacteristic
408C22×D4—24no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—42no—
416C22×D4D4×C1111yescharacteristic
417C22×D4C23×C1112yes—
418C23×C4—21no—
419C23×C4C23×C1111yescharacteristic
420#137—24no—
421#137—42no—
422AGL(1,ℤ/8)—28no—
423AGL(1,ℤ/8)—28no—
424AGL(1,ℤ/8)—24no—
425AGL(1,ℤ/8)—24no—
426AGL(1,ℤ/8)—24no—
427AGL(1,ℤ/8)D4×C1118yes—
428C2×Q16—21no—
429C2×Q16—21no—
430C2×SD16—28no—
431C2×SD16—22no—
432C2×SD16—22no—
433C2×SD16—24no—
434C2×SD16—21no—
435C2×SD16—21no—
436C2×SD16—22no—
437C2×SD16—22no—
438C2×SD16—42no—
439C2×D8—28no—
440C2×D8—22no—
441C2×D8—22no—
442#131—24no—
443#131—42no—
444C2×M16—21no—
445C2×M16—24no—
446C2×M16—22no—
447C2×M16C23×C1112yes—
448C2×M16C23×C1111yescharacteristic
449C2×M16C23×C1111yescharacteristic
450C2×M16C23×C1112yes—
451C22×C8—21no—
452C22×C8—22no—
453C22×C8C23×C1112yes—
454C22⋊Q8—21no—
455C22⋊Q8—21no—
456C22⋊Q8—21no—
457C22⋊Q8—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4C23×C1111yescharacteristic
460C2×C22⋊C4—21no—
461#108—24no—
462#103—21no—
463#103—21no—
464#102—21no—
465#102—21no—
466#102—22no—
467#102—22no—
468#101—24no—
469#100—24no—
470#100—42no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C22⋊C8—21no—
474C22⋊C8—21no—
475C22⋊C8—22no—
476C22⋊C8—22no—
477C22⋊C8D4×C1111yescharacteristic
478C22⋊C8D4×C1111yescharacteristic
479C22⋊C8D4×C1112yes—
480C2×C11—22no—
481C2×C11—22no—
482C2×C11—41no—
483C2×C11—42no—
484C2×C11—81no—
485C2×C11—84no—
486C2×C11#241011yescharacteristic
487C2×C11C2×#47111yescharacteristic
488C2×C11#306811yescharacteristic
489C24—21no—
490C24—22no—
491C24—44no—
492C24—41no—
493C24—41no—
494C24—82no—
495C24—82no—
496C24C11×#4111yescharacteristic
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—44no—
503#41—41no—
504#41—41no—
505#41—44no—
506#41C2×D4×C1114yes—
507C2×Q8—21no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—22no—
513C2×Q8—41no—
514C2×Q8C2×D4×C1111yescharacteristic
515C2×Q8C2×D4×C1111yescharacteristic
516C2×D4—21no—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—41no—
530C2×D4—44no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—44no—
536C2×D4—41no—
537C2×D4—41no—
538C2×D4C2×D4×C1114yes—
539C2×D4C2×D4×C1111yescharacteristic
540C2×D4C2×D4×C1111yescharacteristic
541C22×C4—21no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—44no—
551C22×C4C2×D4×C1111yescharacteristic
552C22×C4C2×D4×C1111yescharacteristic
553C22×C4C2×D4×C1111yescharacteristic
554C22×C4C2×D4×C1111yescharacteristic
555C22×C4C11×#4111yescharacteristic
556C22×C4C24×C1111yescharacteristic
557Q16—42no—
558Q16—42no—
559SD16—28no—
560SD16—28no—
561SD16—44no—
562SD16—44no—
563SD16—42no—
564SD16—42no—
565D8—28no—
566D8—28no—
567M16—24no—
568M16—22no—
569M16—22no—
570M16—22no—
571M16—22no—
572M16—22no—
573M16—44no—
574M16C2×D4×C1114yes—
575C2×C8—24no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—44no—
583C2×C8C2×D4×C1112yes—
584C2×C8C2×D4×C1112yes—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C11#2439911yescharacteristic, direct product factor, Sylow
592C23—21no—
593C23—22no—
594C23—22no—
595C23—21no—
596C23—24no—
597C23—41no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—81no—
605C23—82no—
606C23—82no—
607C23—82no—
608C23—82no—
609C23—82no—
610C23—816no—
611C23—82no—
612C23C11×#12111yescharacteristic
613C23C11×#12111yescharacteristic
614C23C2×C11×#4111yescharacteristic
615Q8—21no—
616Q8—21no—
617Q8—21no—
618Q8—42no—
619Q8—41no—
620Q8—41no—
621Q8—42no—
622Q8C11×#12012yes—
623D4—24no—
624D4—21no—
625D4—24no—
626D4—21no—
627D4—21no—
628D4—24no—
629D4—42no—
630D4—42no—
631D4—44no—
632D4—44no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4C11×#12012yes—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—81no—
656C2×C4C11×#12111yescharacteristic
657C2×C4C11×#12111yescharacteristic
658C2×C4C22×D4×C1111yescharacteristic
659C2×C4C22×D4×C1112yes—
660C2×C4C22×D4×C1111yescharacteristic
661C2×C4C11×H(5,𝔽2)12yes—
662C8—24no—
663C8—22no—
664C8—22no—
665C8—41no—
666C8—41no—
667C8—42no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—22no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—44no—
681C22—41no—
682C22—41no—
683C22—84no—
684C22—84no—
685C22—88no—
686C22—84no—
687C22—88no—
688C22—82no—
689C22—82no—
690C22C11×#47112yescomplemented
691C22C2×C11×#12111yescharacteristic
692C22C11×#54612yes—
693C4—21no—
694C4—21no—
695C4—22no—
696C4—41no—
697C4—81no—
698C4—81no—
699C4C2×C11×#12011yescharacteristic
700C4C11×#53411yescharacteristic
701C4D42×C1112yes—
702C2—22no—
703C2—22no—
704C2—41no—
705C2—42no—
706C2—81no—
707C2—84no—
708C2C11×#241011yescharacteristic
709C2C2×C11×#47111yescharacteristic
710C2C11×#306811yescharacteristic
subgroupG/H
center, socleC22×C11C2×#121
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×AGL(1,ℤ/8)C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#471C2semidirect
3. C11×#3007C2semidirect
4. C2×C11×#450C2semidirect
5. C11×#2880C2semidirect
6. C11×#2051C2semidirect
7. C11×#2019C2semidirect
8. C11×#1907C2semidirect
9. C11×#1901C2semidirect
10. C11×#1855C2semidirect
11. C11×#1783C2semidirect
14. C2×C11×#137C22semidirect
15. C2×C11×#137C22semidirect
22. C22×C11×SD16C22semidirect
24. C2×C11×#131C22semidirect
35. C2×C11×#108C22semidirect
36. C11×#417C22semidirect
37. C11×#417C22semidirect
38. C2×C11×#102C22semidirect
39. C2×C11×#101C22semidirect
40. C2×C11×#100C22semidirect
41. C2×C11×#100C22semidirect
43. C11×#408C22semidirect
49. C11×#343C22semidirect
50. C11×#341C22semidirect
134. #24399C11direct (N × H)
238. C2×#471C2×C11semidirect
239. #3007C2×C11semidirect
240. C2×#450C2×C11semidirect
241. #2880C2×C11semidirect
242. #2051C2×C11semidirect
243. #2019C2×C11semidirect
244. #1907C2×C11semidirect
245. #1901C2×C11semidirect
246. #1855C2×C11semidirect
247. #1783C2×C11semidirect
326. C2×#137C22×C11semidirect
327. C2×#137C22×C11semidirect
334. C22×SD16C22×C11semidirect
336. C2×#131C22×C11semidirect
347. C2×#108C22×C11semidirect
348. #417C22×C11semidirect
349. #417C22×C11semidirect
350. C2×#102C22×C11semidirect
351. C2×#101C22×C11semidirect
352. C2×#100C22×C11semidirect
353. C2×#100C22×C11semidirect
355. #408C22×C11semidirect
361. #343C22×C11semidirect
362. #341C22×C11semidirect
385. C22×C11#471semidirect
591. C11#24399direct (N × H)
690. C22C11×#471semidirect

Maximal subgroups

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

subgroupindex
C22×C11×AGL(1,ℤ/8)2
C2×C11×#4712
C11×#30072
C2×C11×#4502
C11×#28802
C11×#20512
C11×#20192
C11×#19072
C11×#19012
C11×#18552
C11×#17832
#2439911