Finite Group Databasebeta

← C11×#33560 #14610753

Subgroups — C11×#33560 #14610753

Order 2816.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3551C211yesmaximal, characteristic, complemented
2C11×#3028C211yesmaximal, characteristic, complemented
3C11×#3027C211yesmaximal, characteristic, complemented
4C11×#3018C211yesmaximal, characteristic, complemented
5C11×#2200C214yesmaximal, complemented
6C11×#2197C214yesmaximal, complemented
7C11×#2126C211yesmaximal, characteristic, complemented
8C11×#2123C211yesmaximal, characteristic, complemented
9C11×#2122C211yesmaximal, characteristic, complemented
10C11×#585C2211yescharacteristic
11C11×#575—21no—
12C11×#563—21no—
13C11×#560C2212yescomplemented
14C11×#555—21no—
15C11×#553—21no—
16C11×#552—21no—
17C11×#551C2212yescomplemented
18C11×#548—21no—
19C11×#546—21no—
20C11×#540—22no—
21C11×#538—22no—
22C11×#537—21no—
23C11×#536—21no—
24C11×#536C2211yescharacteristic
25C11×#535—21no—
26C11×#535C2211yescharacteristic
27C11×#532C2211yescharacteristic
28C11×#529—21no—
29C11×#458—22no—
30C11×#458C2214yes—
31C11×B(4,𝔽2)—22no—
32C11×B(4,𝔽2)C2214yes—
33C11×#456—21no—
34C11×#455C2212yes—
35C11×#454—21no—
36C11×#453C2212yes—
37C2×C11×#104—21no—
38C11×#413C2211yescharacteristic
39C11×#410—21no—
40C11×#410—21no—
41C11×#410C2211yescharacteristic
42C11×#410C2211yescharacteristic
43C11×#354C2212yescomplemented
44C11×#353C2212yescomplemented
45C11×#352C2214yescomplemented
46C11×AΣL(1,𝔽16)C2214yescomplemented
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—21no—
57C2×C11×#41—42no—
58C2×C11×#41D411yescharacteristic, complemented
59C2×C11×#41C2311yescharacteristic
60C22×Q8×C11D411yescharacteristic, complemented
61C22×D4×C11D411yescharacteristic
62C11×#137—22no—
63C11×#137—41no—
64C11×AGL(1,ℤ/8)—22no—
65C11×AGL(1,ℤ/8)—41no—
66C11×#135—42no—
67C2×C11×M16—21no—
68C11×C4⋊Q8—21no—
69C11×C4⋊Q8—41no—
70C11×C4⋊Q8D411yescharacteristic, complemented
71C11×#127—21no—
72C11×#127—41no—
73C11×#127C2311yescharacteristic
74C11×#126—22no—
75C11×#126—22no—
76C11×#126—22no—
77C11×#125—21no—
78C11×#125—22no—
79C11×#124—21no—
80C11×#124—22no—
81C11×#124—21no—
82C11×#124—21no—
83C11×#124—41no—
84C11×#124—41no—
85C11×#124D411yescharacteristic, complemented
86C11×#124C2311yescharacteristic
87C11×#123—22no—
88C11×#123—22no—
89C11×#123—22no—
90C11×#123—22no—
91C11×#123—24no—
92C11×#123D412yescomplemented
93C11×#123C2312yes—
94C11×C22⋊Q8—21no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8—21no—
98C11×C22⋊Q8—21no—
99C11×C22⋊Q8—42no—
100C11×#121—22no—
101C11×#121—22no—
102C11×#121—21no—
103C11×#121—22no—
104C11×#121—21no—
105C11×#121—21no—
106C11×#121—22no—
107C11×#121—21no—
108C11×#121—21no—
109C11×#121—22no—
110C11×#121—22no—
111C11×#121—42no—
112C11×#120—22no—
113C11×#120—24no—
114C11×#120D412yes—
115C11×#120C2312yes—
116C4×Q8×C11—21no—
117C4×D4×C11—22no—
118C4×D4×C11—21no—
119C4×D4×C11—22no—
120C4×D4×C11—21no—
121C4×D4×C11—21no—
122C4×D4×C11—22no—
123C11×#117—22no—
124C11×#117—22no—
125C11×#117—21no—
126C11×#117—21no—
127C11×#117D411yescharacteristic
128C11×#117D411yescharacteristic, complemented
129C2×C11×C4⋊C4—21no—
130C2×C11×C22⋊C4—22no—
131C2×C42×C11D411yescharacteristic, complemented
132C11×#104—22no—
133C11×#104—22no—
134C11×#101—21no—
135C11×#100C2312yes—
136C11×#99—21no—
137C11×#99—21no—
138C11×#99—24no—
139C11×#99—24no—
140C11×#99C2312yes—
141C11×#99C2312yes—
142#33560C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11C2×D412yes—
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—41no—
157C11×#41—41no—
158C11×#41—42no—
159C11×#41—41no—
160C11×#41—41no—
161C11×#41—41no—
162C11×#41—81no—
163C11×#41—81no—
164C2×Q8×C11—21no—
165C2×Q8×C11—21no—
166C2×Q8×C11—21no—
167C2×Q8×C11—21no—
168C2×Q8×C11—21no—
169C2×Q8×C11—41no—
170C2×Q8×C11—41no—
171C2×Q8×C11—42no—
172C2×Q8×C11C2×D411yescharacteristic
173C2×Q8×C11C2×D411yescharacteristic
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—22no—
181C2×D4×C11—22no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—22no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11—41no—
189C2×D4×C11—41no—
190C2×D4×C11—42no—
191C2×D4×C11—42no—
192C2×D4×C11—42no—
193C2×D4×C11—41no—
194C2×D4×C11—44no—
195C2×D4×C11C2×D411yescharacteristic
196C2×D4×C11C2×D411yescharacteristic
197C2×D4×C11C2×D411yescharacteristic
198C2×D4×C11C2411yescharacteristic
199C22×C4×C11—22no—
200C22×C4×C11—22no—
201C22×C4×C11—22no—
202C22×C4×C11—22no—
203C22×C4×C11—22no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—41no—
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D412yes—
211C11×Q16—42no—
212C11×SD16—42no—
213C11×SD16—42no—
214C11×D8—42no—
215C11×M16—22no—
216C11×M16—41no—
217C2×C8×C11—41no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—22no—
229C11×C4⋊C4—41no—
230C11×C4⋊C4—41no—
231C11×C4⋊C4—44no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—22no—
236C11×C22⋊C4—22no—
237C11×C22⋊C4—22no—
238C11×C22⋊C4—21no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—21no—
241C11×C22⋊C4—21no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—22no—
247C11×C22⋊C4—44no—
248C11×C22⋊C4—44no—
249C11×C22⋊C4C2×D412yes—
250C11×C22⋊C4C2×D412yes—
251C42×C11—22no—
252C42×C11—21no—
253C42×C11—21no—
254C42×C11—21no—
255C42×C11—41no—
256C42×C11—41no—
257C42×C11C2×D411yescharacteristic
258C42×C11C2×D411yescharacteristic
259#3551C2×C1111yescharacteristic, complemented
260#3028C2×C1111yescharacteristic, complemented
261#3027C2×C1111yescharacteristic, complemented
262#3018C2×C1111yescharacteristic, complemented
263#2200C2×C1114yescomplemented
264#2197C2×C1114yescomplemented
265#2126C2×C1111yescharacteristic, complemented
266#2123C2×C1111yescharacteristic, complemented
267#2122C2×C1111yescharacteristic, complemented
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—21no—
272C23×C11—41no—
273C23×C11—42no—
274C23×C11—82no—
275C23×C11#12011yescharacteristic
276C23×C11C22×D411yescharacteristic
277C23×C11C22×D411yescharacteristic
278Q8×C11—22no—
279Q8×C11—41no—
280Q8×C11—41no—
281Q8×C11—41no—
282Q8×C11—41no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—81no—
287D4×C11—22no—
288D4×C11—41no—
289D4×C11—41no—
290D4×C11—41no—
291D4×C11—41no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—42no—
295D4×C11—42no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—41no—
299D4×C11—41no—
300D4×C11—41no—
301D4×C11—81no—
302D4×C11—81no—
303D4×C11—82no—
304D4×C11—82no—
305D4×C11—82no—
306D4×C11—81no—
307D4×C11—81no—
308D4×C11—82no—
309D4×C11—164no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—21no—
319C2×C4×C11—22no—
320C2×C4×C11—21no—
321C2×C4×C11—22no—
322C2×C4×C11—22no—
323C2×C4×C11—21no—
324C2×C4×C11—42no—
325C2×C4×C11—42no—
326C2×C4×C11—42no—
327C2×C4×C11—41no—
328C2×C4×C11—42no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—42no—
332C2×C4×C11—42no—
333C2×C4×C11—42no—
334C2×C4×C11—82no—
335C2×C4×C11—81no—
336C2×C4×C11—82no—
337C2×C4×C11—82no—
338C2×C4×C11#12011yescharacteristic
339C2×C4×C11#12011yescharacteristic
340C2×C4×C11#12011yescharacteristic
341C2×C4×C11C22×D411yescharacteristic
342C8×C11—42no—
343#585C22×C1111yescharacteristic
344#575—21no—
345#563—21no—
346#560C22×C1112yescomplemented
347#555—21no—
348#553—21no—
349#552—21no—
350#551C22×C1112yescomplemented
351#548—21no—
352#546—21no—
353#540—22no—
354#538—22no—
355#537—21no—
356#536—21no—
357#536C22×C1111yescharacteristic
358#535—21no—
359#535C22×C1111yescharacteristic
360#532C22×C1111yescharacteristic
361#529—21no—
362#458—22no—
363#458C22×C1114yes—
364B(4,𝔽2)—22no—
365B(4,𝔽2)C22×C1114yes—
366#456—21no—
367#455C22×C1112yes—
368#454—21no—
369#453C22×C1112yes—
370C2×#104—21no—
371#413C22×C1111yescharacteristic
372#410—21no—
373#410—21no—
374#410C22×C1111yescharacteristic
375#410C22×C1111yescharacteristic
376#354C22×C1112yescomplemented
377#353C22×C1112yescomplemented
378#352C22×C1114yescomplemented
379AΣL(1,𝔽16)C22×C1114yescomplemented
380C22×C11—21no—
381C22×C11—21no—
382C22×C11—21no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—42no—
388C22×C11—41no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—41no—
392C22×C11—42no—
393C22×C11—82no—
394C22×C11—84no—
395C22×C11—82no—
396C22×C11—161no—
397C22×C11C2×#12011yescharacteristic
398C4×C11—21no—
399C4×C11—21no—
400C4×C11—21no—
401C4×C11—41no—
402C4×C11—42no—
403C4×C11—42no—
404C4×C11—41no—
405C4×C11—42no—
406C4×C11—41no—
407C4×C11—42no—
408C4×C11—82no—
409C4×C11—82no—
410C4×C11B(4,𝔽2)11yescharacteristic
411C4×C11B(4,𝔽2)11yescharacteristic
4122−1+4—21no—
4132−1+4—41no—
414H(5,𝔽2)—21no—
415H(5,𝔽2)—21no—
416H(5,𝔽2)—41no—
417H(5,𝔽2)C23×C1112yes—
418C2×#41—21no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41—42no—
423C2×#41D4×C1111yescharacteristic, complemented
424C2×#41C23×C1111yescharacteristic
425C22×Q8D4×C1111yescharacteristic, complemented
426C22×D4D4×C1111yescharacteristic
427#137—22no—
428#137—41no—
429AGL(1,ℤ/8)—22no—
430AGL(1,ℤ/8)—41no—
431#135—42no—
432C2×M16—21no—
433C4⋊Q8—21no—
434C4⋊Q8—41no—
435C4⋊Q8D4×C1111yescharacteristic, complemented
436#127—21no—
437#127—41no—
438#127C23×C1111yescharacteristic
439#126—22no—
440#126—22no—
441#126—22no—
442#125—21no—
443#125—22no—
444#124—21no—
445#124—22no—
446#124—21no—
447#124—21no—
448#124—41no—
449#124—41no—
450#124D4×C1111yescharacteristic, complemented
451#124C23×C1111yescharacteristic
452#123—22no—
453#123—22no—
454#123—22no—
455#123—22no—
456#123—24no—
457#123D4×C1112yescomplemented
458#123C23×C1112yes—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—22no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—42no—
465#121—22no—
466#121—22no—
467#121—21no—
468#121—22no—
469#121—21no—
470#121—21no—
471#121—22no—
472#121—21no—
473#121—21no—
474#121—22no—
475#121—22no—
476#121—42no—
477#120—22no—
478#120—24no—
479#120D4×C1112yes—
480#120C23×C1112yes—
481C4×Q8—21no—
482C4×D4—22no—
483C4×D4—21no—
484C4×D4—22no—
485C4×D4—21no—
486C4×D4—21no—
487C4×D4—22no—
488#117—22no—
489#117—22no—
490#117—21no—
491#117—21no—
492#117D4×C1111yescharacteristic
493#117D4×C1111yescharacteristic, complemented
494C2×C4⋊C4—21no—
495C2×C22⋊C4—22no—
496C2×C42D4×C1111yescharacteristic, complemented
497#104—22no—
498#104—22no—
499#101—21no—
500#100C23×C1112yes—
501#99—21no—
502#99—21no—
503#99—24no—
504#99—24no—
505#99C23×C1112yes—
506#99C23×C1112yes—
507C2×C11—21no—
508C2×C11—41no—
509C2×C11—41no—
510C2×C11—41no—
511C2×C11—81no—
512C2×C11—82no—
513C2×C11—82no—
514C2×C11C2×B(4,𝔽2)11yescharacteristic
515C24C2×D4×C1112yes—
516#41—22no—
517#41—22no—
518#41—41no—
519#41—41no—
520#41—42no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—42no—
527#41—42no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—41no—
532#41—41no—
533#41—41no—
534#41—81no—
535#41—81no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—42no—
544C2×Q8C2×D4×C1111yescharacteristic
545C2×Q8C2×D4×C1111yescharacteristic
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—44no—
567C2×D4C2×D4×C1111yescharacteristic
568C2×D4C2×D4×C1111yescharacteristic
569C2×D4C2×D4×C1111yescharacteristic
570C2×D4C24×C1111yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—41no—
579C22×C4C2×D4×C1111yescharacteristic
580C22×C4C2×D4×C1111yescharacteristic
581C22×C4C2×D4×C1111yescharacteristic
582C22×C4C2×D4×C1112yes—
583Q16—42no—
584SD16—42no—
585SD16—42no—
586D8—42no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—22no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—44no—
620C22⋊C4—44no—
621C22⋊C4C2×D4×C1112yes—
622C22⋊C4C2×D4×C1112yes—
623C42—22no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—41no—
628C42—41no—
629C42C2×D4×C1111yescharacteristic
630C42C2×D4×C1111yescharacteristic
631C11#3356011yescharacteristic, direct product factor, Sylow
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23C11×#12011yescharacteristic
640C23C22×D4×C1111yescharacteristic
641C23C22×D4×C1111yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—81no—
671D4—81no—
672D4—82no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—81no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4C11×#12011yescharacteristic
703C2×C4C11×#12011yescharacteristic
704C2×C4C11×#12011yescharacteristic
705C2×C4C22×D4×C1111yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×C11×#12011yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4C11×B(4,𝔽2)11yescharacteristic
738C4C11×B(4,𝔽2)11yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×C11×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C11C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C11
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×#3551C2semidirect
2. C11×#3028C2semidirect
3. C11×#3027C2semidirect
4. C11×#3018C2semidirect
5. C11×#2200C2semidirect
6. C11×#2197C2semidirect
7. C11×#2126C2semidirect
8. C11×#2123C2semidirect
9. C11×#2122C2semidirect
13. C11×#560C22semidirect
17. C11×#551C22semidirect
43. C11×#354C22semidirect
44. C11×#353C22semidirect
45. C11×#352C22semidirect
46. C11×AΣL(1,𝔽16)C22semidirect
58. C2×C11×#41D4semidirect
60. C22×Q8×C11D4semidirect
70. C11×C4⋊Q8D4semidirect
85. C11×#124D4semidirect
92. C11×#123D4semidirect
128. C11×#117D4semidirect
131. C2×C42×C11D4semidirect
142. #33560C11direct (N × H)
259. #3551C2×C11semidirect
260. #3028C2×C11semidirect
261. #3027C2×C11semidirect
262. #3018C2×C11semidirect
263. #2200C2×C11semidirect
264. #2197C2×C11semidirect
265. #2126C2×C11semidirect
266. #2123C2×C11semidirect
267. #2122C2×C11semidirect
346. #560C22×C11semidirect
350. #551C22×C11semidirect
376. #354C22×C11semidirect
377. #353C22×C11semidirect
378. #352C22×C11semidirect
379. AΣL(1,𝔽16)C22×C11semidirect
423. C2×#41D4×C11semidirect
425. C22×Q8D4×C11semidirect
435. C4⋊Q8D4×C11semidirect
450. #124D4×C11semidirect
457. #123D4×C11semidirect
493. #117D4×C11semidirect
496. C2×C42D4×C11semidirect
631. C11#33560direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35512
C11×#30282
C11×#30272
C11×#30182
C11×#22002
C11×#21972
C11×#21262
C11×#21232
C11×#21222
#3356011