Finite Group Databasebeta

← C2×C11×#2000 #14600577

Subgroups — C2×C11×#2000 #14600577

Order 2816.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C11×SD16C211yesmaximal, characteristic, complemented
2C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
3C22×C11×#121C211yesmaximal, characteristic
4C22×C11×#103C211yesmaximal, characteristic, complemented
5C22×C11×#102C211yesmaximal, characteristic, complemented
6C22×C11×C22⋊C8C211yesmaximal, characteristic, complemented
7C11×#2000C218yesmaximal, direct product factor
8C2×C11×#340C211yesmaximal, characteristic, complemented
9C23×Q8×C11C2211yescharacteristic
10C23×D4×C11—21no—
11C23×D4×C11C2211yescharacteristic
12C24×C4×C11C2211yescharacteristic
13C22×C11×SD16—24no—
14C22×C11×SD16—24no—
15C22×C11×SD16—24no—
16C22×C11×SD16C2214yescomplemented
17C23×C8×C11C2211yescharacteristic
18C23×C8×C11C2211yescharacteristic
19C2×C11×C22⋊Q8—24no—
20C2×C11×C22⋊Q8—22no—
21C2×C11×C22⋊Q8—24no—
22C2×C11×C22⋊Q8C2214yescomplemented
23C2×C11×#121—24no—
24C2×C11×#121—22no—
25C2×C11×#121—24no—
26C2×C11×#121C2214yes—
27C22×C11×C4⋊C4—21no—
28C22×C11×C4⋊C4C2211yescharacteristic
29C22×C11×C4⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4—21no—
31C22×C11×C22⋊C4—21no—
32C2×C11×#103—24no—
33C2×C11×#103C2214yescomplemented
34C2×C11×#102—24no—
35C2×C11×#102C2214yescomplemented
36C2×C11×C22⋊C8—24no—
37C2×C11×C22⋊C8C2214yescomplemented
38C11×#340C2214yescomplemented
39C25×C11—21no—
40C25×C11D411yescharacteristic
41C22×Q8×C11—22no—
42C22×Q8×C11—21no—
43C22×Q8×C11—22no—
44C22×Q8×C11—22no—
45C22×Q8×C11—22no—
46C22×Q8×C11—22no—
47C22×Q8×C11D414yescomplemented
48C22×Q8×C11C2312yes—
49C22×D4×C11—28no—
50C22×D4×C11—24no—
51C22×D4×C11—22no—
52C22×D4×C11—22no—
53C22×D4×C11—22no—
54C22×D4×C11—21no—
55C22×D4×C11—22no—
56C22×D4×C11—22no—
57C22×D4×C11—44no—
58C22×D4×C11—44no—
59C22×D4×C11D414yes—
60C22×D4×C11C2312yes—
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11—21no—
64C23×C4×C11—22no—
65C23×C4×C11—22no—
66C23×C4×C11—22no—
67C23×C4×C11—22no—
68C23×C4×C11—22no—
69C23×C4×C11—22no—
70C23×C4×C11D412yes—
71C23×C4×C11D411yescharacteristic
72C23×C4×C11C2312yes—
73C23×C4×C11C2311yescharacteristic
74C2×C11×SD16—232no—
75C2×C11×SD16—28no—
76C2×C11×SD16—28no—
77C2×C11×SD16—28no—
78C22×C8×C11—22no—
79C22×C8×C11—22no—
80C22×C8×C11—22no—
81C22×C8×C11—22no—
82C22×C8×C11—22no—
83C22×C8×C11D414yescomplemented
84C22×C8×C11C2312yes—
85C22×C8×C11C2312yes—
86C11×C22⋊Q8—216no—
87C11×C22⋊Q8—28no—
88C11×C22⋊Q8—28no—
89C11×#121—216no—
90C11×#121—28no—
91C11×#121—28no—
92C2×C11×C4⋊C4—28no—
93C2×C11×C4⋊C4—24no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4—22no—
98C2×C11×C4⋊C4D414yes—
99C2×C11×C4⋊C4D414yescomplemented
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C22⋊C4—28no—
103C2×C11×C22⋊C4—28no—
104C2×C11×C22⋊C4—24no—
105C2×C11×C22⋊C4—24no—
106C11×#103—28no—
107C11×#102—28no—
108C11×C22⋊C8—28no—
109C2×#2000C1111yesmaximal, characteristic, direct product factor, Sylow
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—24no—
117C24×C11—22no—
118C24×C11—42no—
119C24×C11—42no—
120C24×C11—42no—
121C24×C11—42no—
122C24×C11—42no—
123C24×C11—42no—
124C24×C11SD1614yescomplemented
125C24×C11C2×D412yes—
126C24×C11C2×D411yescharacteristic
127C2×Q8×C11—24no—
128C2×Q8×C11—22no—
129C2×Q8×C11—28no—
130C2×Q8×C11—28no—
131C2×Q8×C11—22no—
132C2×Q8×C11—22no—
133C2×Q8×C11—22no—
134C2×Q8×C11—22no—
135C2×Q8×C11—42no—
136C2×Q8×C11—42no—
137C2×Q8×C11—44no—
138C2×Q8×C11—44no—
139C2×Q8×C11C2×D414yescomplemented
140C2×D4×C11—216no—
141C2×D4×C11—28no—
142C2×D4×C11—24no—
143C2×D4×C11—28no—
144C2×D4×C11—22no—
145C2×D4×C11—22no—
146C2×D4×C11—22no—
147C2×D4×C11—22no—
148C2×D4×C11—22no—
149C2×D4×C11—48no—
150C2×D4×C11—432no—
151C2×D4×C11—48no—
152C2×D4×C11—42no—
153C2×D4×C11—44no—
154C2×D4×C11—42no—
155C2×D4×C11—44no—
156C2×D4×C11C2×D414yes—
157C22×C4×C11—22no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—24no—
169C22×C4×C11—22no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—22no—
173C22×C4×C11—22no—
174C22×C4×C11—22no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11—44no—
182C22×C4×C11—44no—
183C22×C4×C11—44no—
184C22×C4×C11—44no—
185C22×C4×C11C2×D412yes—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D412yes—
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D412yes—
192C22×C4×C11#4112yes—
193C22×C4×C11C2411yescharacteristic
194C11×SD16—232no—
195C2×C8×C11—28no—
196C2×C8×C11—22no—
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C2×C8×C11—44no—
202C2×C8×C11C2×D414yescomplemented
203C11×C4⋊C4—216no—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4C2×D414yes—
209C11×C4⋊C4C2×D414yescomplemented
210C11×C22⋊C4—216no—
211C11×C22⋊C4—216no—
212C23×SD16C2×C1111yescharacteristic, complemented
213C22×C22⋊Q8C2×C1111yescharacteristic, complemented
214C22×#121C2×C1111yescharacteristic
215C22×#103C2×C1111yescharacteristic, complemented
216C22×#102C2×C1111yescharacteristic, complemented
217C22×C22⋊C8C2×C1111yescharacteristic, complemented
218#2000C2×C1118yesdirect product factor
219C2×#340C2×C1111yescharacteristic, complemented
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—28no—
227C23×C11—28no—
228C23×C11—28no—
229C23×C11—24no—
230C23×C11—44no—
231C23×C11—44no—
232C23×C11—44no—
233C23×C11—44no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—48no—
241C23×C11—48no—
242C23×C11—48no—
243C23×C11—84no—
244C23×C11—84no—
245C23×C11—84no—
246C23×C11—84no—
247C23×C11#12012yes—
248C23×C11#12012yes—
249C23×C11#12112yes—
250C23×C11C2×SD1612yes—
251C23×C11C2×SD1614yescomplemented
252C23×C11#13512yes—
253C23×C11AGL(1,ℤ/8)12yes—
254C23×C11#13712yes—
255C23×C11C22×D411yescharacteristic
256Q8×C11—24no—
257Q8×C11—24no—
258Q8×C11—42no—
259Q8×C11—42no—
260Q8×C11—48no—
261D4×C11—24no—
262D4×C11—24no—
263D4×C11—432no—
264D4×C11—42no—
265D4×C11—42no—
266D4×C11—48no—
267C2×C4×C11—22no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—44no—
280C2×C4×C11—48no—
281C2×C4×C11—48no—
282C2×C4×C11—48no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—48no—
288C2×C4×C11#12014yes—
289C2×C4×C11#12012yes—
290C2×C4×C11#12012yes—
291C2×C4×C11#12114yes—
292C2×C4×C11#12114yes—
293C2×C4×C11#12112yes—
294C2×C4×C11#12714yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C8×C11—24no—
302C8×C11—42no—
303C23×Q8C22×C1111yescharacteristic
304C23×D4—21no—
305C23×D4C22×C1111yescharacteristic
306C24×C4C22×C1111yescharacteristic
307C22×SD16—24no—
308C22×SD16—24no—
309C22×SD16—24no—
310C22×SD16C22×C1114yescomplemented
311C23×C8C22×C1111yescharacteristic
312C23×C8C22×C1111yescharacteristic
313C2×C22⋊Q8—24no—
314C2×C22⋊Q8—22no—
315C2×C22⋊Q8—24no—
316C2×C22⋊Q8C22×C1114yescomplemented
317C2×#121—24no—
318C2×#121—22no—
319C2×#121—24no—
320C2×#121C22×C1114yes—
321C22×C4⋊C4—21no—
322C22×C4⋊C4C22×C1111yescharacteristic
323C22×C4⋊C4C22×C1111yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C2×#103—24no—
327C2×#103C22×C1114yescomplemented
328C2×#102—24no—
329C2×#102C22×C1114yescomplemented
330C2×C22⋊C8—24no—
331C2×C22⋊C8C22×C1114yescomplemented
332#340C22×C1114yescomplemented
333C22×C11—24no—
334C22×C11—24no—
335C22×C11—24no—
336C22×C11—42no—
337C22×C11—42no—
338C22×C11—42no—
339C22×C11—416no—
340C22×C11—42no—
341C22×C11—44no—
342C22×C11—44no—
343C22×C11—44no—
344C22×C11—82no—
345C22×C11—82no—
346C22×C11—816no—
347C22×C11—82no—
348C22×C11—82no—
349C22×C11#39214yes—
350C22×C11#44814yes—
351C22×C11#44914yes—
352C22×C11#45014yes—
353C22×C11#45214yes—
354C22×C11#46514yes—
355C22×C11#46814yes—
356C22×C11C2×#12011yescharacteristic
357C22×C11C2×#12011yescharacteristic
358C22×C11C2×#12111yescharacteristic
359C22×C11C22×SD1611yescharacteristic
360C22×C11C2×#13511yescharacteristic
361C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
362C22×C11C2×#13711yescharacteristic
363C4×C11—42no—
364C4×C11—44no—
365C4×C11—44no—
366C4×C11—44no—
367C4×C11#39214yes—
368C4×C11C2×#12011yescharacteristic
369C4×C11C2×#12111yescharacteristic
370C4×C11C2×#12111yescharacteristic
371C4×C11C2×#12711yescharacteristic
372C25—21no—
373C25D4×C1111yescharacteristic
374C22×Q8—22no—
375C22×Q8—21no—
376C22×Q8—22no—
377C22×Q8—22no—
378C22×Q8—22no—
379C22×Q8—22no—
380C22×Q8D4×C1114yescomplemented
381C22×Q8C23×C1112yes—
382C22×D4—28no—
383C22×D4—24no—
384C22×D4—22no—
385C22×D4—22no—
386C22×D4—22no—
387C22×D4—21no—
388C22×D4—22no—
389C22×D4—22no—
390C22×D4—44no—
391C22×D4—44no—
392C22×D4D4×C1114yes—
393C22×D4C23×C1112yes—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—22no—
403C23×C4D4×C1111yescharacteristic
404C23×C4D4×C1112yes—
405C23×C4C23×C1112yes—
406C23×C4C23×C1111yescharacteristic
407C2×SD16—232no—
408C2×SD16—28no—
409C2×SD16—28no—
410C2×SD16—28no—
411C22×C8—22no—
412C22×C8—22no—
413C22×C8—22no—
414C22×C8—22no—
415C22×C8—22no—
416C22×C8D4×C1114yescomplemented
417C22×C8C23×C1112yes—
418C22×C8C23×C1112yes—
419C22⋊Q8—216no—
420C22⋊Q8—28no—
421C22⋊Q8—28no—
422#121—216no—
423#121—28no—
424#121—28no—
425C2×C4⋊C4—28no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4D4×C1114yes—
432C2×C4⋊C4D4×C1114yescomplemented
433C2×C4⋊C4C23×C1112yes—
434C2×C4⋊C4C23×C1112yes—
435C2×C22⋊C4—28no—
436C2×C22⋊C4—28no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439#103—28no—
440#102—28no—
441C22⋊C8—28no—
442C2×C11—44no—
443C2×C11—84no—
444C2×C11#200018yesdirect product factor
445C2×C11C2×#39211yescharacteristic
446C2×C11C2×#45011yescharacteristic
447C2×C11C2×#44811yescharacteristic
448C2×C11C2×#44911yescharacteristic
449C2×C11C2×#45211yescharacteristic
450C2×C11C2×#46511yescharacteristic
451C2×C11C2×#46811yescharacteristic
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—24no—
459C24—22no—
460C24—42no—
461C24—42no—
462C24—42no—
463C24—42no—
464C24—42no—
465C24—42no—
466C24C11×SD1614yescomplemented
467C24C2×D4×C1112yes—
468C24C2×D4×C1111yescharacteristic
469C2×Q8—24no—
470C2×Q8—22no—
471C2×Q8—28no—
472C2×Q8—28no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—44no—
480C2×Q8—44no—
481C2×Q8C2×D4×C1114yescomplemented
482C2×D4—216no—
483C2×D4—28no—
484C2×D4—24no—
485C2×D4—28no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—48no—
492C2×D4—432no—
493C2×D4—48no—
494C2×D4—42no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—44no—
498C2×D4C2×D4×C1114yes—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4C2×D4×C1112yes—
528C22×C4C2×D4×C1111yescharacteristic
529C22×C4C2×D4×C1112yes—
530C22×C4C2×D4×C1112yes—
531C22×C4C2×D4×C1112yes—
532C22×C4C2×D4×C1112yes—
533C22×C4C2×D4×C1112yes—
534C22×C4C11×#4112yes—
535C22×C4C24×C1111yescharacteristic
536SD16—232no—
537C2×C8—28no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—44no—
544C2×C8C2×D4×C1114yescomplemented
545C4⋊C4—216no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4C2×D4×C1114yes—
551C4⋊C4C2×D4×C1114yescomplemented
552C22⋊C4—216no—
553C22⋊C4—216no—
554C11C2×#200011yescharacteristic, direct product factor, Sylow
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—28no—
562C23—28no—
563C23—28no—
564C23—24no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—42no—
570C23—42no—
571C23—48no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—48no—
577C23—48no—
578C23—84no—
579C23—84no—
580C23—84no—
581C23—84no—
582C23C11×#12012yes—
583C23C11×#12012yes—
584C23C11×#12112yes—
585C23C2×C11×SD1612yes—
586C23C2×C11×SD1614yescomplemented
587C23C11×#13512yes—
588C23C11×AGL(1,ℤ/8)12yes—
589C23C11×#13712yes—
590C23C22×D4×C1111yescharacteristic
591Q8—24no—
592Q8—24no—
593Q8—42no—
594Q8—48no—
595Q8—42no—
596D4—24no—
597D4—24no—
598D4—432no—
599D4—42no—
600D4—48no—
601D4—42no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—48no—
617C2×C4—48no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—48no—
622C2×C4—42no—
623C2×C4C11×#12014yes—
624C2×C4C11×#12012yes—
625C2×C4C11×#12012yes—
626C2×C4C11×#12114yes—
627C2×C4C11×#12114yes—
628C2×C4C11×#12112yes—
629C2×C4C11×#12714yes—
630C2×C4C22×D4×C1111yescharacteristic
631C2×C4C22×D4×C1111yescharacteristic
632C2×C4C22×D4×C1111yescharacteristic
633C2×C4C22×D4×C1111yescharacteristic
634C2×C4C22×D4×C1111yescharacteristic
635C2×C4C2×C11×#4111yescharacteristic
636C8—24no—
637C8—42no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—416no—
645C22—42no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—82no—
650C22—82no—
651C22—816no—
652C22—82no—
653C22—82no—
654C22C11×#39214yes—
655C22C11×#44814yes—
656C22C11×#44914yes—
657C22C11×#45014yes—
658C22C11×#45214yes—
659C22C11×#46514yes—
660C22C11×#46814yes—
661C22C2×C11×#12011yescharacteristic
662C22C2×C11×#12011yescharacteristic
663C22C2×C11×#12111yescharacteristic
664C22C22×C11×SD1611yescharacteristic
665C22C2×C11×#13511yescharacteristic
666C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
667C22C2×C11×#13711yescharacteristic
668C4—42no—
669C4—44no—
670C4—44no—
671C4—44no—
672C4C11×#39214yes—
673C4C2×C11×#12011yescharacteristic
674C4C2×C11×#12111yescharacteristic
675C4C2×C11×#12111yescharacteristic
676C4C2×C11×#12711yescharacteristic
677C2—44no—
678C2—84no—
679C2C11×#200018yesdirect product factor
680C2C2×C11×#39211yescharacteristic
681C2C2×C11×#45011yescharacteristic
682C2C2×C11×#44811yescharacteristic
683C2C2×C11×#44911yescharacteristic
684C2C2×C11×#45211yescharacteristic
685C2C2×C11×#46511yescharacteristic
686C2C2×C11×#46811yescharacteristic
subgroupG/H
center, socleC24×C11C2×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×#121C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C11 ◁ C24×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×C11×SD16C2semidirect
2. C22×C11×C22⋊Q8C2semidirect
4. C22×C11×#103C2semidirect
5. C22×C11×#102C2semidirect
6. C22×C11×C22⋊C8C2semidirect
7. C11×#2000C2direct (N × H)
8. C2×C11×#340C2semidirect
16. C22×C11×SD16C22semidirect
22. C2×C11×C22⋊Q8C22semidirect
33. C2×C11×#103C22semidirect
35. C2×C11×#102C22semidirect
37. C2×C11×C22⋊C8C22semidirect
38. C11×#340C22semidirect
47. C22×Q8×C11D4semidirect
83. C22×C8×C11D4semidirect
99. C2×C11×C4⋊C4D4semidirect
109. C2×#2000C11direct (N × H)
124. C24×C11SD16semidirect
139. C2×Q8×C11C2×D4semidirect
202. C2×C8×C11C2×D4semidirect
209. C11×C4⋊C4C2×D4semidirect
212. C23×SD16C2×C11semidirect
213. C22×C22⋊Q8C2×C11semidirect
215. C22×#103C2×C11semidirect
216. C22×#102C2×C11semidirect
217. C22×C22⋊C8C2×C11semidirect
218. #2000C2×C11direct (N × H)
219. C2×#340C2×C11semidirect
251. C23×C11C2×SD16semidirect
310. C22×SD16C22×C11semidirect
316. C2×C22⋊Q8C22×C11semidirect
327. C2×#103C22×C11semidirect
329. C2×#102C22×C11semidirect
331. C2×C22⋊C8C22×C11semidirect
332. #340C22×C11semidirect
380. C22×Q8D4×C11semidirect
416. C22×C8D4×C11semidirect
432. C2×C4⋊C4D4×C11semidirect
444. C2×C11#2000direct (N × H)
466. C24C11×SD16semidirect
481. C2×Q8C2×D4×C11semidirect
544. C2×C8C2×D4×C11semidirect
551. C4⋊C4C2×D4×C11semidirect
554. C11C2×#2000direct (N × H)
586. C23C2×C11×SD16semidirect
679. C2C11×#2000direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C11×SD162
C22×C11×C22⋊Q82
C22×C11×#1212
C22×C11×#1032
C22×C11×#1022
C22×C11×C22⋊C82
C11×#20002
C2×C11×#3402
C2×#200011