Finite Group Databasebeta

← C11×#33554 #14610747

Subgroups — C11×#33554 #14610747

Order 2816.

1112 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3538C211yesmaximal, characteristic, complemented
2C11×#3028C211yesmaximal, characteristic, complemented
3C11×#3025C211yesmaximal, characteristic
4C11×#3022C211yesmaximal, characteristic, complemented
5C11×#2201C214yesmaximal, complemented
6C11×#2197C214yesmaximal, complemented
7C11×#2129C211yesmaximal, characteristic, complemented
8C11×#2123C211yesmaximal, characteristic, complemented
9C11×#2120C211yesmaximal, characteristic, complemented
10C11×#585C2211yescharacteristic
11C2×C11×#137—21no—
12C11×#563—21no—
13C11×#563C2212yescomplemented
14C11×#552—21no—
15C11×#552—21no—
16C11×#551—21no—
17C11×#551C2212yescomplemented
18D4×Q8×C11—21no—
19D4×Q8×C11—21no—
20C11×#544—22no—
21C11×#541—21no—
22C11×#539—22no—
23C11×#536—21no—
24C11×#536C2211yescharacteristic
25C11×#536C2211yescharacteristic
26C11×#525—21no—
27C11×#525C2211yescharacteristic
28C2×C11×C22⋊Q8—21no—
29C11×#458—21no—
30C11×#458—22no—
31C11×#458C2214yes—
32C11×#458C2212yes—
33C11×B(4,𝔽2)—21no—
34C11×B(4,𝔽2)C2212yes—
35C11×#456—22no—
36C11×#455C2214yes—
37C11×#421—21no—
38C11×#413C2211yescharacteristic
39C11×#410—21no—
40C11×#410—21no—
41C11×#410C2211yescharacteristic
42C11×#410C2211yescharacteristic
43C11×#354C2214yescomplemented
44C11×#352C2214yescomplemented
45C11×#352C2212yescomplemented
46C11×AΣL(1,𝔽16)C2212yescomplemented
47C11×2−1+4—21no—
48C11×2−1+4—41no—
49C11×H(5,𝔽2)—21no—
50C11×H(5,𝔽2)—21no—
51C11×H(5,𝔽2)—41no—
52C11×H(5,𝔽2)C2312yes—
53C2×C11×#41—21no—
54C2×C11×#41—21no—
55C2×C11×#41—21no—
56C2×C11×#41—42no—
57C2×C11×#41C2311yescharacteristic
58C22×Q8×C11—21no—
59C22×Q8×C11D411yescharacteristic, complemented
60C22×Q8×C11D411yescharacteristic, complemented
61C23×C4×C11D411yescharacteristic
62C11×#137—24no—
63C11×#137—42no—
64C2×C11×Q16—41no—
65C2×C11×SD16—41no—
66C2×C11×M16—21no—
67C11×C4⋊Q8—21no—
68C11×C4⋊Q8—22no—
69C11×C4⋊Q8—21no—
70C11×C4⋊Q8—22no—
71C11×C4⋊Q8—41no—
72C11×C4⋊Q8D412yescomplemented
73C11×#126—22no—
74C11×#126—22no—
75C11×#126—22no—
76C11×#126—22no—
77C11×#125—22no—
78C11×#125—22no—
79C11×#125—21no—
80C11×#125—22no—
81C11×#125—22no—
82C11×#124—21no—
83C11×#124—41no—
84C11×#124C2312yes—
85C11×#123—22no—
86C11×#123—21no—
87C11×#123—21no—
88C11×#123—22no—
89C11×#123—22no—
90C11×#123—24no—
91C11×#123D411yescharacteristic
92C11×#123D412yescomplemented
93C11×#123C2311yescharacteristic
94C11×#123C2312yes—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—21no—
97C11×C22⋊Q8—21no—
98C11×C22⋊Q8—22no—
99C11×C22⋊Q8—22no—
100C11×C22⋊Q8—21no—
101C11×C22⋊Q8—22no—
102C11×C22⋊Q8—21no—
103C11×C22⋊Q8—21no—
104C11×C22⋊Q8—22no—
105C11×C22⋊Q8—21no—
106C11×C22⋊Q8—21no—
107C11×C22⋊Q8—22no—
108C11×C22⋊Q8—42no—
109C11×C22⋊Q8—41no—
110C11×#121—21no—
111C11×#121—41no—
112C11×#120—22no—
113C11×#120D411yescharacteristic
114C11×#120C2311yescharacteristic
115C4×Q8×C11—21no—
116C4×Q8×C11—21no—
117C4×D4×C11—22no—
118C4×D4×C11—21no—
119C4×D4×C11—21no—
120C4×D4×C11—22no—
121C4×D4×C11—42no—
122C11×#117—22no—
123C11×#117—22no—
124C11×#117—21no—
125C11×#117—21no—
126C11×#117D411yescharacteristic
127C11×#117D411yescharacteristic, complemented
128C11×#117D411yescharacteristic, complemented
129C2×C11×C4⋊C4—22no—
130C2×C11×C4⋊C4—21no—
131C2×C11×C22⋊C4—22no—
132C11×#104—24no—
133C11×#101—21no—
134C11×#100C2312yes—
135C11×#99—21no—
136C11×#99—21no—
137C11×#99—22no—
138C11×#99—22no—
139C11×#99—24no—
140C11×#99C2312yes—
141C11×#99C2312yes—
142#33554C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11C2×D411yescharacteristic
144C11×#41—22no—
145C11×#41—22no—
146C11×#41—41no—
147C11×#41—41no—
148C11×#41—42no—
149C11×#41—41no—
150C11×#41—41no—
151C11×#41—41no—
152C11×#41—41no—
153C11×#41—41no—
154C11×#41—42no—
155C11×#41—42no—
156C11×#41—42no—
157C11×#41—41no—
158C11×#41—41no—
159C11×#41—41no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—22no—
163C2×Q8×C11—21no—
164C2×Q8×C11—21no—
165C2×Q8×C11—21no—
166C2×Q8×C11—21no—
167C2×Q8×C11—41no—
168C2×Q8×C11—41no—
169C2×Q8×C11—41no—
170C2×Q8×C11—41no—
171C2×Q8×C11—42no—
172C2×Q8×C11—81no—
173C2×Q8×C11—81no—
174C2×Q8×C11C2×D412yes—
175C2×Q8×C11C2×D411yescharacteristic
176C2×D4×C11—21no—
177C2×D4×C11—21no—
178C2×D4×C11—21no—
179C2×D4×C11—21no—
180C2×D4×C11—22no—
181C2×D4×C11—22no—
182C2×D4×C11—21no—
183C2×D4×C11—42no—
184C2×D4×C11—42no—
185C2×D4×C11—42no—
186C2×D4×C11—41no—
187C2×D4×C11—42no—
188C2×D4×C11C2×D411yescharacteristic
189C2×D4×C11C2×D411yescharacteristic
190C2×D4×C11C2411yescharacteristic
191C22×C4×C11—22no—
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—22no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—41no—
199C22×C4×C11—41no—
200C22×C4×C11—41no—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D412yes—
205C22×C4×C11C2×D411yescharacteristic
206C11×Q16—44no—
207C11×SD16—44no—
208C11×M16—22no—
209C11×M16—41no—
210C2×C8×C11—41no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—22no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—41no—
230C11×C4⋊C4—41no—
231C11×C4⋊C4—42no—
232C11×C4⋊C4—44no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—21no—
237C11×C22⋊C4—22no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—21no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—42no—
247C11×C22⋊C4—42no—
248C11×C22⋊C4—44no—
249C11×C22⋊C4C2×D411yescharacteristic
250C11×C22⋊C4C2×D411yescharacteristic
251C11×C22⋊C4C2×D412yes—
252C42×C11—22no—
253C42×C11—22no—
254C42×C11—21no—
255C42×C11—21no—
256C42×C11—41no—
257C42×C11—41no—
258C42×C11C2×D412yes—
259#3538C2×C1111yescharacteristic, complemented
260#3028C2×C1111yescharacteristic, complemented
261#3025C2×C1111yescharacteristic
262#3022C2×C1111yescharacteristic, complemented
263#2201C2×C1114yescomplemented
264#2197C2×C1114yescomplemented
265#2129C2×C1111yescharacteristic, complemented
266#2123C2×C1111yescharacteristic, complemented
267#2120C2×C1111yescharacteristic, complemented
268C23×C11—21no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—41no—
272C23×C11—42no—
273C23×C11—41no—
274C23×C11#12011yescharacteristic
275C23×C11C22×D411yescharacteristic
276C23×C11C22×D411yescharacteristic
277Q8×C11—22no—
278Q8×C11—41no—
279Q8×C11—42no—
280Q8×C11—41no—
281Q8×C11—41no—
282Q8×C11—41no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—41no—
287Q8×C11—81no—
288Q8×C11—82no—
289D4×C11—22no—
290D4×C11—41no—
291D4×C11—41no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—41no—
295D4×C11—42no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—42no—
299D4×C11—42no—
300D4×C11—42no—
301D4×C11—41no—
302D4×C11—84no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—22no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—21no—
318C2×C4×C11—42no—
319C2×C4×C11—42no—
320C2×C4×C11—42no—
321C2×C4×C11—44no—
322C2×C4×C11—41no—
323C2×C4×C11—42no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—42no—
328C2×C4×C11—42no—
329C2×C4×C11—42no—
330C2×C4×C11—81no—
331C2×C4×C11—81no—
332C2×C4×C11—82no—
333C2×C4×C11#12011yescharacteristic
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11#12011yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C8×C11—42no—
338#585C22×C1111yescharacteristic
339C2×#137—21no—
340#563—21no—
341#563C22×C1112yescomplemented
342#552—21no—
343#552—21no—
344#551—21no—
345#551C22×C1112yescomplemented
346D4×Q8—21no—
347D4×Q8—21no—
348#544—22no—
349#541—21no—
350#539—22no—
351#536—21no—
352#536C22×C1111yescharacteristic
353#536C22×C1111yescharacteristic
354#525—21no—
355#525C22×C1111yescharacteristic
356C2×C22⋊Q8—21no—
357#458—21no—
358#458—22no—
359#458C22×C1114yes—
360#458C22×C1112yes—
361B(4,𝔽2)—21no—
362B(4,𝔽2)C22×C1112yes—
363#456—22no—
364#455C22×C1114yes—
365#421—21no—
366#413C22×C1111yescharacteristic
367#410—21no—
368#410—21no—
369#410C22×C1111yescharacteristic
370#410C22×C1111yescharacteristic
371#354C22×C1114yescomplemented
372#352C22×C1112yescomplemented
373#352C22×C1114yescomplemented
374AΣL(1,𝔽16)C22×C1112yescomplemented
375C22×C11—22no—
376C22×C11—21no—
377C22×C11—21no—
378C22×C11—21no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—42no—
384C22×C11—41no—
385C22×C11—42no—
386C22×C11—81no—
387C22×C11—82no—
388C22×C11—82no—
389C22×C11—161no—
390C22×C11C2×#12011yescharacteristic
391C4×C11—21no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—42no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11—82no—
403C4×C11—82no—
404C4×C11B(4,𝔽2)11yescharacteristic
405C4×C11B(4,𝔽2)11yescharacteristic
4062−1+4—21no—
4072−1+4—41no—
408H(5,𝔽2)—21no—
409H(5,𝔽2)—21no—
410H(5,𝔽2)—41no—
411H(5,𝔽2)C23×C1112yes—
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41—42no—
416C2×#41C23×C1111yescharacteristic
417C22×Q8—21no—
418C22×Q8D4×C1111yescharacteristic, complemented
419C22×Q8D4×C1111yescharacteristic, complemented
420C23×C4D4×C1111yescharacteristic
421#137—24no—
422#137—42no—
423C2×Q16—41no—
424C2×SD16—41no—
425C2×M16—21no—
426C4⋊Q8—21no—
427C4⋊Q8—22no—
428C4⋊Q8—21no—
429C4⋊Q8—22no—
430C4⋊Q8—41no—
431C4⋊Q8D4×C1112yescomplemented
432#126—22no—
433#126—22no—
434#126—22no—
435#126—22no—
436#125—22no—
437#125—22no—
438#125—21no—
439#125—22no—
440#125—22no—
441#124—21no—
442#124—41no—
443#124C23×C1112yes—
444#123—22no—
445#123—21no—
446#123—21no—
447#123—22no—
448#123—22no—
449#123—24no—
450#123D4×C1111yescharacteristic
451#123D4×C1112yescomplemented
452#123C23×C1111yescharacteristic
453#123C23×C1112yes—
454C22⋊Q8—22no—
455C22⋊Q8—21no—
456C22⋊Q8—21no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—22no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—22no—
467C22⋊Q8—42no—
468C22⋊Q8—41no—
469#121—21no—
470#121—41no—
471#120—22no—
472#120D4×C1111yescharacteristic
473#120C23×C1111yescharacteristic
474C4×Q8—21no—
475C4×Q8—21no—
476C4×D4—22no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—22no—
480C4×D4—42no—
481#117—22no—
482#117—22no—
483#117—21no—
484#117—21no—
485#117D4×C1111yescharacteristic
486#117D4×C1111yescharacteristic, complemented
487#117D4×C1111yescharacteristic, complemented
488C2×C4⋊C4—22no—
489C2×C4⋊C4—21no—
490C2×C22⋊C4—22no—
491#104—24no—
492#101—21no—
493#100C23×C1112yes—
494#99—21no—
495#99—21no—
496#99—22no—
497#99—22no—
498#99—24no—
499#99C23×C1112yes—
500#99C23×C1112yes—
501C2×C11—21no—
502C2×C11—41no—
503C2×C11—41no—
504C2×C11—42no—
505C2×C11—41no—
506C2×C11—82no—
507C2×C11C2×B(4,𝔽2)11yescharacteristic
508C24C2×D4×C1111yescharacteristic
509#41—22no—
510#41—22no—
511#41—41no—
512#41—41no—
513#41—42no—
514#41—41no—
515#41—41no—
516#41—41no—
517#41—41no—
518#41—41no—
519#41—42no—
520#41—42no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—22no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—42no—
537C2×Q8—81no—
538C2×Q8—81no—
539C2×Q8C2×D4×C1112yes—
540C2×Q8C2×D4×C1111yescharacteristic
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—21no—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4—42no—
551C2×D4—41no—
552C2×D4—42no—
553C2×D4C2×D4×C1111yescharacteristic
554C2×D4C2×D4×C1111yescharacteristic
555C2×D4C24×C1111yescharacteristic
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4C2×D4×C1111yescharacteristic
567C22×C4C2×D4×C1111yescharacteristic
568C22×C4C2×D4×C1111yescharacteristic
569C22×C4C2×D4×C1112yes—
570C22×C4C2×D4×C1111yescharacteristic
571Q16—44no—
572SD16—44no—
573M16—22no—
574M16—41no—
575C2×C8—41no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—41no—
595C4⋊C4—41no—
596C4⋊C4—42no—
597C4⋊C4—44no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—22no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—44no—
614C22⋊C4C2×D4×C1111yescharacteristic
615C22⋊C4C2×D4×C1111yescharacteristic
616C22⋊C4C2×D4×C1112yes—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—41no—
622C42—41no—
623C42C2×D4×C1112yes—
624C11#3355411yescharacteristic, direct product factor, Sylow
625C23—21no—
626C23—22no—
627C23—22no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23C11×#12011yescharacteristic
632C23C22×D4×C1111yescharacteristic
633C23C22×D4×C1111yescharacteristic
634Q8—22no—
635Q8—41no—
636Q8—42no—
637Q8—41no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8—41no—
643Q8—41no—
644Q8—81no—
645Q8—82no—
646D4—22no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—41no—
651D4—41no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—42no—
657D4—42no—
658D4—41no—
659D4—84no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—82no—
690C2×C4C11×#12011yescharacteristic
691C2×C4C11×#12011yescharacteristic
692C2×C4C11×#12011yescharacteristic
693C2×C4C22×D4×C1111yescharacteristic
694C8—42no—
695C22—22no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—42no—
704C22—41no—
705C22—42no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—161no—
710C22C2×C11×#12011yescharacteristic
711C4—21no—
712C4—21no—
713C4—21no—
714C4—42no—
715C4—42no—
716C4—41no—
717C4—41no—
718C4—42no—
719C4—41no—
720C4—42no—
721C4—42no—
722C4—82no—
723C4—82no—
724C4C11×B(4,𝔽2)11yescharacteristic
725C4C11×B(4,𝔽2)11yescharacteristic
726C2—21no—
727C2—41no—
728C2—41no—
729C2—42no—
730C2—41no—
731C2—82no—
732C2C2×C11×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C11C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C11
prime radicalC11×#3025C2
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C11 ◁ C2×C4×C11 ◁ C2×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3538C2semidirect
2. C11×#3028C2semidirect
4. C11×#3022C2semidirect
5. C11×#2201C2semidirect
6. C11×#2197C2semidirect
7. C11×#2129C2semidirect
8. C11×#2123C2semidirect
9. C11×#2120C2semidirect
13. C11×#563C22semidirect
17. C11×#551C22semidirect
43. C11×#354C22semidirect
44. C11×#352C22semidirect
45. C11×#352C22semidirect
46. C11×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C11D4semidirect
60. C22×Q8×C11D4semidirect
72. C11×C4⋊Q8D4semidirect
92. C11×#123D4semidirect
127. C11×#117D4semidirect
128. C11×#117D4semidirect
142. #33554C11direct (N × H)
259. #3538C2×C11semidirect
260. #3028C2×C11semidirect
262. #3022C2×C11semidirect
263. #2201C2×C11semidirect
264. #2197C2×C11semidirect
265. #2129C2×C11semidirect
266. #2123C2×C11semidirect
267. #2120C2×C11semidirect
341. #563C22×C11semidirect
345. #551C22×C11semidirect
371. #354C22×C11semidirect
372. #352C22×C11semidirect
373. #352C22×C11semidirect
374. AΣL(1,𝔽16)C22×C11semidirect
418. C22×Q8D4×C11semidirect
419. C22×Q8D4×C11semidirect
431. C4⋊Q8D4×C11semidirect
451. #123D4×C11semidirect
486. #117D4×C11semidirect
487. #117D4×C11semidirect
624. C11#33554direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35382
C11×#30282
C11×#30252
C11×#30222
C11×#22012
C11×#21972
C11×#21292
C11×#21232
C11×#21202
#3355411