Finite Group Databasebeta

← C11×#23852 #14601045

Subgroups — C11×#23852 #14601045

Order 2816.

1900 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C11×SD16C211yesmaximal, characteristic, complemented
2C2×C11×#546C211yesmaximal, characteristic
3C2×C11×#452C212yesmaximal, complemented
4C2×C11×#451C211yesmaximal, characteristic, complemented
5C11×#2409C211yesmaximal, characteristic, complemented
6C11×#2015C212yesmaximal, complemented
7C11×#2000C212yesmaximal, complemented
8C11×#1892C211yesmaximal, characteristic, complemented
9C11×#1877C212yesmaximal, complemented
10C11×#1869C211yesmaximal, characteristic, complemented
11C11×#1786C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C23×Q8×C11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C22×C11×Q16C2212yescomplemented
16C22×C11×SD16—24no—
17C22×C11×SD16—28no—
18C22×C11×SD16C2212yes—
19C22×C11×SD16C2212yes—
20C23×C8×C11C2211yescharacteristic
21C11×#546—24no—
22C11×#546—24no—
23C2×C11×#124C2211yescharacteristic
24C2×C11×#123—21no—
25C2×C11×C22⋊Q8C2211yescharacteristic
26C2×C11×C22⋊Q8C2212yescomplemented
27C2×C11×#121—21no—
28C2×C11×#121C2211yescharacteristic
29C2×C11×#120—21no—
30C2×C4×D4×C11C2211yescharacteristic
31C2×C4×D4×C11C2211yescharacteristic
32C22×C11×C22⋊C4—21no—
33C11×#452—28no—
34C11×#451—24no—
35C2×C11×#103C2212yescomplemented
36C2×C11×#103C2212yescomplemented
37C2×C11×#102C2212yes—
38C2×C11×#102C2212yes—
39C2×C11×C22⋊C8C2211yescharacteristic
40C2×C11×C22⋊C8C2212yescomplemented
41C11×#395—21no—
42C11×#393—21no—
43C11×#391C2212yescomplemented
44C11×#386—21no—
45C11×#385—21no—
46C11×#380C2211yescharacteristic
47C11×#340C2212yescomplemented
48C11×#336C2212yescomplemented
49C25×C11—21no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—24no—
53C2×C11×#41—42no—
54C22×Q8×C11—21no—
55C22×Q8×C11—24no—
56C22×Q8×C11—22no—
57C22×Q8×C11—22no—
58C22×Q8×C11—42no—
59C22×Q8×C11C2311yescharacteristic
60C22×Q8×C11C2312yes—
61C22×D4×C11—24no—
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11—22no—
66C22×D4×C11—42no—
67C22×D4×C11D411yescharacteristic
68C22×D4×C11D414yes—
69C22×D4×C11C2311yescharacteristic
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C2×C11×Q16—24no—
77C2×C11×Q16—24no—
78C2×C11×Q16—42no—
79C2×C11×SD16—232no—
80C2×C11×SD16—24no—
81C2×C11×SD16—24no—
82C2×C11×SD16—24no—
83C2×C11×SD16—24no—
84C2×C11×SD16—24no—
85C2×C11×SD16D418yescomplemented
86C22×C8×C11—22no—
87C22×C8×C11—24no—
88C22×C8×C11C2312yes—
89C22×C8×C11C2312yes—
90C11×#124—22no—
91C11×#124—22no—
92C11×#123—28no—
93C11×C22⋊Q8—22no—
94C11×C22⋊Q8—24no—
95C11×C22⋊Q8—42no—
96C11×C22⋊Q8D414yes—
97C11×#121—28no—
98C11×#121—22no—
99C11×#121—22no—
100C11×#120—28no—
101C4×D4×C11—22no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C4×D4×C11—22no—
105C2×C11×C4⋊C4—21no—
106C2×C11×C4⋊C4—22no—
107C2×C11×C4⋊C4D411yescharacteristic
108C2×C11×C4⋊C4C2312yes—
109C2×C11×C4⋊C4C2311yescharacteristic
110C2×C11×C22⋊C4—28no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4—21no—
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—22no—
118C2×C11×C22⋊C4D411yescharacteristic
119C2×C11×C22⋊C4D411yescharacteristic
120C2×C42×C11C2311yescharacteristic
121C11×#103—24no—
122C11×#103—24no—
123C11×#102—24no—
124C11×#102—42no—
125C11×C22⋊C8—22no—
126C11×C22⋊C8—24no—
127C11×#95—21no—
128C11×#95—22no—
129C11×#95—22no—
130#23852C1111yesmaximal, characteristic, direct product factor, Sylow
131C24×C11—21no—
132C24×C11—21no—
133C24×C11—24no—
134C24×C11—44no—
135C24×C11—42no—
136C24×C11—42no—
137C24×C11—82no—
138C24×C11C2×D411yescharacteristic
139C24×C11C2×D411yescharacteristic
140C11×#41—48no—
141C11×#41—44no—
142C11×#41—44no—
143C2×Q8×C11—21no—
144C2×Q8×C11—22no—
145C2×Q8×C11—28no—
146C2×Q8×C11—22no—
147C2×Q8×C11—22no—
148C2×Q8×C11—22no—
149C2×Q8×C11—22no—
150C2×Q8×C11—22no—
151C2×Q8×C11—22no—
152C2×Q8×C11—44no—
153C2×Q8×C11—48no—
154C2×Q8×C11—44no—
155C2×Q8×C11—42no—
156C2×Q8×C11C2×D414yes—
157C2×Q8×C11C2×D412yes—
158C2×D4×C11—28no—
159C2×D4×C11—24no—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—24no—
164C2×D4×C11—24no—
165C2×D4×C11—21no—
166C2×D4×C11—22no—
167C2×D4×C11—21no—
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11—44no—
171C2×D4×C11—48no—
172C2×D4×C11—44no—
173C2×D4×C11—44no—
174C2×D4×C11—82no—
175C2×D4×C11C2×D412yes—
176C2×D4×C11C2×D414yes—
177C2×D4×C11C2×D412yes—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—24no—
181C22×C4×C11—22no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—24no—
185C22×C4×C11—22no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—22no—
189C22×C4×C11—22no—
190C22×C4×C11—44no—
191C22×C4×C11—44no—
192C22×C4×C11—42no—
193C22×C4×C11—82no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D412yes—
199C22×C4×C11C2×D412yes—
200C22×C4×C11C2411yescharacteristic
201C11×Q16—48no—
202C11×SD16—216no—
203C11×SD16—216no—
204C2×C8×C11—28no—
205C2×C8×C11—22no—
206C2×C8×C11—22no—
207C2×C8×C11—22no—
208C2×C8×C11—22no—
209C2×C8×C11—22no—
210C2×C8×C11C2×D414yes—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—44no—
217C11×C4⋊C4C2×D412yes—
218C11×C22⋊C4—24no—
219C11×C22⋊C4—24no—
220C11×C22⋊C4—24no—
221C11×C22⋊C4—24no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—24no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—44no—
226C11×C22⋊C4—42no—
227C42×C11—21no—
228C42×C11—21no—
229C23×SD16C2×C1111yescharacteristic, complemented
230C2×#546C2×C1111yescharacteristic
231C2×#452C2×C1112yescomplemented
232C2×#451C2×C1111yescharacteristic, complemented
233#2409C2×C1111yescharacteristic, complemented
234#2015C2×C1112yescomplemented
235#2000C2×C1112yescomplemented
236#1892C2×C1111yescharacteristic, complemented
237#1877C2×C1112yescomplemented
238#1869C2×C1111yescharacteristic, complemented
239#1786C2×C1111yescharacteristic, complemented
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—24no—
244C23×C11—22no—
245C23×C11—21no—
246C23×C11—22no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—22no—
250C23×C11—48no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—42no—
258C23×C11—48no—
259C23×C11—84no—
260C23×C11—88no—
261C23×C11—88no—
262C23×C11#12012yes—
263C23×C11#13512yes—
264C23×C11#13712yes—
265C23×C11C22×D411yescharacteristic
266Q8×C11—24no—
267Q8×C11—24no—
268Q8×C11—24no—
269Q8×C11—48no—
270Q8×C11—41no—
271Q8×C11—42no—
272Q8×C11—41no—
273Q8×C11—42no—
274D4×C11—22no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—24no—
278D4×C11—48no—
279D4×C11—48no—
280D4×C11—44no—
281D4×C11—42no—
282D4×C11—84no—
283D4×C11#12014yes—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—24no—
294C2×C4×C11—22no—
295C2×C4×C11—21no—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—48no—
299C2×C4×C11—48no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11—84no—
311C2×C4×C11#12012yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11H(5,𝔽2)12yes—
316C8×C11—24no—
317C8×C11—42no—
318C22×#41C22×C1111yescharacteristic
319C23×Q8C22×C1111yescharacteristic
320C23×D4C22×C1111yescharacteristic
321C22×Q16C22×C1112yescomplemented
322C22×SD16—24no—
323C22×SD16—28no—
324C22×SD16C22×C1112yes—
325C22×SD16C22×C1112yes—
326C23×C8C22×C1111yescharacteristic
327#546—24no—
328#546—24no—
329C2×#124C22×C1111yescharacteristic
330C2×#123—21no—
331C2×C22⋊Q8C22×C1111yescharacteristic
332C2×C22⋊Q8C22×C1112yescomplemented
333C2×#121—21no—
334C2×#121C22×C1111yescharacteristic
335C2×#120—21no—
336C2×C4×D4C22×C1111yescharacteristic
337C2×C4×D4C22×C1111yescharacteristic
338C22×C22⋊C4—21no—
339#452—28no—
340#451—24no—
341C2×#103C22×C1112yescomplemented
342C2×#103C22×C1112yescomplemented
343C2×#102C22×C1112yes—
344C2×#102C22×C1112yes—
345C2×C22⋊C8C22×C1111yescharacteristic
346C2×C22⋊C8C22×C1112yescomplemented
347#395—21no—
348#393—21no—
349#391C22×C1112yescomplemented
350#386—21no—
351#385—21no—
352#380C22×C1111yescharacteristic
353#340C22×C1112yescomplemented
354#336C22×C1112yescomplemented
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—24no—
358C22×C11—24no—
359C22×C11—24no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—44no—
363C22×C11—44no—
364C22×C11—41no—
365C22×C11—42no—
366C22×C11—41no—
367C22×C11—42no—
368C22×C11—41no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—816no—
373C22×C11—82no—
374C22×C11—82no—
375C22×C11#45214yescomplemented
376C22×C11C2×#12011yescharacteristic
377C22×C11D4212yes—
378C22×C11C2×#13511yescharacteristic
379C22×C11C2×#13711yescharacteristic
380C22×C11#57712yes—
381C4×C11—22no—
382C4×C11—41no—
383C4×C11—42no—
384C4×C11—44no—
385C4×C11—41no—
386C4×C11—41no—
387C4×C11—42no—
388C4×C11—82no—
389C4×C11C2×#12011yescharacteristic
390C4×C11#53411yescharacteristic
391C4×C11D4212yes—
392C25—21no—
393C2×#41—22no—
394C2×#41—22no—
395C2×#41—24no—
396C2×#41—42no—
397C22×Q8—21no—
398C22×Q8—24no—
399C22×Q8—22no—
400C22×Q8—22no—
401C22×Q8—42no—
402C22×Q8C23×C1111yescharacteristic
403C22×Q8C23×C1112yes—
404C22×D4—24no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—22no—
409C22×D4—42no—
410C22×D4D4×C1111yescharacteristic
411C22×D4D4×C1114yes—
412C22×D4C23×C1111yescharacteristic
413C22×D4C23×C1111yescharacteristic
414C23×C4—21no—
415C23×C4—21no—
416C23×C4—21no—
417C23×C4C23×C1111yescharacteristic
418C23×C4C23×C1111yescharacteristic
419C2×Q16—24no—
420C2×Q16—24no—
421C2×Q16—42no—
422C2×SD16—232no—
423C2×SD16—24no—
424C2×SD16—24no—
425C2×SD16—24no—
426C2×SD16—24no—
427C2×SD16—24no—
428C2×SD16D4×C1118yescomplemented
429C22×C8—22no—
430C22×C8—24no—
431C22×C8C23×C1112yes—
432C22×C8C23×C1112yes—
433#124—22no—
434#124—22no—
435#123—28no—
436C22⋊Q8—22no—
437C22⋊Q8—24no—
438C22⋊Q8—42no—
439C22⋊Q8D4×C1114yes—
440#121—28no—
441#121—22no—
442#121—22no—
443#120—28no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4D4×C1111yescharacteristic
451C2×C4⋊C4C23×C1112yes—
452C2×C4⋊C4C23×C1111yescharacteristic
453C2×C22⋊C4—28no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4D4×C1111yescharacteristic
462C2×C22⋊C4D4×C1111yescharacteristic
463C2×C42C23×C1111yescharacteristic
464#103—24no—
465#103—24no—
466#102—24no—
467#102—42no—
468C22⋊C8—22no—
469C22⋊C8—24no—
470#95—21no—
471#95—22no—
472#95—22no—
473C2×C11—24no—
474C2×C11—44no—
475C2×C11—81no—
476C2×C11—82no—
477C2×C11#240311yescharacteristic
478C2×C11C2×#45211yescharacteristic
479C2×C11#300911yescharacteristic
480C2×C11#326612yes—
481C2×C11#328212yes—
482C24—21no—
483C24—21no—
484C24—24no—
485C24—44no—
486C24—42no—
487C24—42no—
488C24—82no—
489C24C2×D4×C1111yescharacteristic
490C24C2×D4×C1111yescharacteristic
491#41—48no—
492#41—44no—
493#41—44no—
494C2×Q8—21no—
495C2×Q8—22no—
496C2×Q8—28no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—44no—
504C2×Q8—48no—
505C2×Q8—44no—
506C2×Q8—42no—
507C2×Q8C2×D4×C1114yes—
508C2×Q8C2×D4×C1112yes—
509C2×D4—28no—
510C2×D4—24no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—44no—
522C2×D4—48no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—82no—
526C2×D4C2×D4×C1112yes—
527C2×D4C2×D4×C1114yes—
528C2×D4C2×D4×C1112yes—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—42no—
544C22×C4—82no—
545C22×C4C2×D4×C1111yescharacteristic
546C22×C4C2×D4×C1111yescharacteristic
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C2×D4×C1111yescharacteristic
549C22×C4C2×D4×C1112yes—
550C22×C4C2×D4×C1112yes—
551C22×C4C24×C1111yescharacteristic
552Q16—48no—
553SD16—216no—
554SD16—216no—
555C2×C8—28no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8C2×D4×C1114yes—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—44no—
568C4⋊C4C2×D4×C1112yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—22no—
574C22⋊C4—24no—
575C22⋊C4—22no—
576C22⋊C4—44no—
577C22⋊C4—42no—
578C42—21no—
579C42—21no—
580C11#2385211yescharacteristic, direct product factor, Sylow
581C23—22no—
582C23—22no—
583C23—22no—
584C23—24no—
585C23—22no—
586C23—21no—
587C23—22no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—48no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—48no—
600C23—84no—
601C23—88no—
602C23—88no—
603C23C11×#12012yes—
604C23C11×#13512yes—
605C23C11×#13712yes—
606C23C22×D4×C1111yescharacteristic
607Q8—24no—
608Q8—24no—
609Q8—24no—
610Q8—48no—
611Q8—41no—
612Q8—42no—
613Q8—41no—
614Q8—42no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—48no—
621D4—44no—
622D4—42no—
623D4—84no—
624D4C11×#12014yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—48no—
640C2×C4—48no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—84no—
652C2×C4C11×#12012yes—
653C2×C4C22×D4×C1111yescharacteristic
654C2×C4C22×D4×C1112yes—
655C2×C4C22×D4×C1111yescharacteristic
656C2×C4C11×H(5,𝔽2)12yes—
657C8—24no—
658C8—42no—
659C22—22no—
660C22—22no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—42no—
665C22—42no—
666C22—44no—
667C22—44no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—816no—
677C22—82no—
678C22—82no—
679C22C11×#45214yescomplemented
680C22C2×C11×#12011yescharacteristic
681C22D42×C1112yes—
682C22C2×C11×#13511yescharacteristic
683C22C2×C11×#13711yescharacteristic
684C22C11×#57712yes—
685C4—22no—
686C4—41no—
687C4—42no—
688C4—44no—
689C4—41no—
690C4—41no—
691C4—42no—
692C4—82no—
693C4C2×C11×#12011yescharacteristic
694C4C11×#53411yescharacteristic
695C4D42×C1112yes—
696C2—24no—
697C2—44no—
698C2—81no—
699C2—82no—
700C2C11×#240311yescharacteristic
701C2C2×C11×#45211yescharacteristic
702C2C11×#300911yescharacteristic
703C2C11×#326612yes—
704C2C11×#328212yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#546C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×C11×SD16C2semidirect
3. C2×C11×#452C2semidirect
4. C2×C11×#451C2semidirect
5. C11×#2409C2semidirect
6. C11×#2015C2semidirect
7. C11×#2000C2semidirect
8. C11×#1892C2semidirect
9. C11×#1877C2semidirect
10. C11×#1869C2semidirect
11. C11×#1786C2semidirect
15. C22×C11×Q16C22semidirect
26. C2×C11×C22⋊Q8C22semidirect
35. C2×C11×#103C22semidirect
36. C2×C11×#103C22semidirect
40. C2×C11×C22⋊C8C22semidirect
43. C11×#391C22semidirect
47. C11×#340C22semidirect
48. C11×#336C22semidirect
85. C2×C11×SD16D4semidirect
130. #23852C11direct (N × H)
229. C23×SD16C2×C11semidirect
231. C2×#452C2×C11semidirect
232. C2×#451C2×C11semidirect
233. #2409C2×C11semidirect
234. #2015C2×C11semidirect
235. #2000C2×C11semidirect
236. #1892C2×C11semidirect
237. #1877C2×C11semidirect
238. #1869C2×C11semidirect
239. #1786C2×C11semidirect
321. C22×Q16C22×C11semidirect
332. C2×C22⋊Q8C22×C11semidirect
341. C2×#103C22×C11semidirect
342. C2×#103C22×C11semidirect
346. C2×C22⋊C8C22×C11semidirect
349. #391C22×C11semidirect
353. #340C22×C11semidirect
354. #336C22×C11semidirect
375. C22×C11#452semidirect
428. C2×SD16D4×C11semidirect
580. C11#23852direct (N × H)
679. C22C11×#452semidirect

Maximal subgroups

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

subgroupindex
C23×C11×SD162
C2×C11×#5462
C2×C11×#4522
C2×C11×#4512
C11×#24092
C11×#20152
C11×#20002
C11×#18922
C11×#18772
C11×#18692
C11×#17862
#2385211