Finite Group Databasebeta

← C11×#33555 #14610748

Subgroups — C11×#33555 #14610748

Order 2816.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3540C211yesmaximal, characteristic, complemented
2C11×#3027C211yesmaximal, characteristic, complemented
3C11×#3025C211yesmaximal, characteristic, complemented
4C11×#3022C211yesmaximal, characteristic, complemented
5C11×#2199C214yesmaximal, complemented
6C11×#2197C214yesmaximal, complemented
7C11×#2129C211yesmaximal, characteristic, complemented
8C11×#2122C211yesmaximal, characteristic, complemented
9C11×#2120C211yesmaximal, characteristic, complemented
10C11×#585C2211yescharacteristic
11C2×C11×#137—21no—
12C11×H(3,𝔽4)C2212yescomplemented
13C11×#560—21no—
14C11×#559—21no—
15C11×#556—21no—
16C11×#555—21no—
17C11×#551C2212yescomplemented
18C11×#548—21no—
19C11×#546—21no—
20C11×#542—22no—
21C11×#542—21no—
22C11×#538—22no—
23C11×#536C2211yescharacteristic
24C11×#535—21no—
25C11×#535C2211yescharacteristic
26C11×#525—21no—
27C11×#525—21no—
28C11×#525C2211yescharacteristic
29C11×#458—21no—
30C11×#458C2212yes—
31C11×B(4,𝔽2)—21no—
32C11×B(4,𝔽2)—22no—
33C11×B(4,𝔽2)C2214yes—
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×#352C2212yescomplemented
45C11×AΣL(1,𝔽16)C2214yescomplemented
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—21no—
57C2×C11×#41—42no—
58C2×C11×#41C2311yescharacteristic
59C22×Q8×C11D411yescharacteristic, complemented
60C22×D4×C11D411yescharacteristic, complemented
61C23×C4×C11D411yescharacteristic, complemented
62C11×#137—24no—
63C11×#137—42no—
64C2×C11×Q16—41no—
65C2×C11×SD16—41no—
66C2×C11×M16—21no—
67C11×C4⋊Q8—21no—
68C11×C4⋊Q8D412yescomplemented
69C11×#127—21no—
70C11×#127—41no—
71C11×#126—22no—
72C11×#126—22no—
73C11×#126—22no—
74C11×#124—22no—
75C11×#124—21no—
76C11×#124—21no—
77C11×#124—22no—
78C11×#124—22no—
79C11×#124—22no—
80C11×#124—22no—
81C11×#124—41no—
82C11×#124C2312yes—
83C11×#123—22no—
84C11×#123—22no—
85C11×#123—21no—
86C11×#123—21no—
87C11×#123—22no—
88C11×#123—22no—
89C11×#123D411yescharacteristic, complemented
90C11×#123C2311yescharacteristic
91C11×C22⋊Q8—21no—
92C11×C22⋊Q8—22no—
93C11×C22⋊Q8—21no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—21no—
96C11×C22⋊Q8—21no—
97C11×C22⋊Q8—41no—
98C11×#121—21no—
99C11×#121—22no—
100C11×#121—22no—
101C11×#121—22no—
102C11×#121—21no—
103C11×#121—21no—
104C11×#121—21no—
105C11×#121—42no—
106C11×#121—41no—
107C11×#120—22no—
108C11×#120—22no—
109C11×#120—22no—
110C11×#120—24no—
111C11×#120D411yescharacteristic, complemented
112C11×#120D412yescomplemented
113C11×#120C2311yescharacteristic
114C11×#120C2312yes—
115C4×Q8×C11—21no—
116C4×Q8×C11—22no—
117C4×D4×C11—22no—
118C4×D4×C11—22no—
119C4×D4×C11—21no—
120C4×D4×C11—22no—
121C4×D4×C11—21no—
122C4×D4×C11—21no—
123C4×D4×C11—42no—
124C11×#117—21no—
125C11×#117—22no—
126C11×#117—21no—
127C11×#117—21no—
128C11×#117D411yescharacteristic, complemented
129C11×#117D411yescharacteristic, complemented
130C11×#117D411yescharacteristic, complemented
131C2×C11×C22⋊C4—22no—
132C11×#104—24no—
133C11×#101—21no—
134C11×#100C2312yes—
135C11×#99—21no—
136C11×#99—21no—
137C11×#99—24no—
138C11×#99—22no—
139C11×#99—22no—
140C11×#99C2312yes—
141C11×#99C2312yes—
142#33555C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11C2×D412yes—
144C24×C11C2×D411yescharacteristic
145C11×#41—22no—
146C11×#41—22no—
147C11×#41—41no—
148C11×#41—41no—
149C11×#41—42no—
150C11×#41—41no—
151C11×#41—41no—
152C11×#41—41no—
153C11×#41—41no—
154C11×#41—41no—
155C11×#41—42no—
156C11×#41—42no—
157C11×#41—42no—
158C11×#41—41no—
159C11×#41—41no—
160C11×#41—41no—
161C11×#41—81no—
162C11×#41—81no—
163C2×Q8×C11—21no—
164C2×Q8×C11—21no—
165C2×Q8×C11—22no—
166C2×Q8×C11—21no—
167C2×Q8×C11—21no—
168C2×Q8×C11—41no—
169C2×Q8×C11—41no—
170C2×Q8×C11—42no—
171C2×Q8×C11C2×D412yes—
172C2×Q8×C11C2×D411yescharacteristic
173C2×D4×C11—21no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—22no—
182C2×D4×C11—21no—
183C2×D4×C11—22no—
184C2×D4×C11—21no—
185C2×D4×C11—21no—
186C2×D4×C11—41no—
187C2×D4×C11—41no—
188C2×D4×C11—42no—
189C2×D4×C11—42no—
190C2×D4×C11—42no—
191C2×D4×C11—41no—
192C2×D4×C11—42no—
193C2×D4×C11—44no—
194C2×D4×C11C2×D411yescharacteristic
195C2×D4×C11C2×D411yescharacteristic
196C2×D4×C11C2411yescharacteristic
197C22×C4×C11—22no—
198C22×C4×C11—22no—
199C22×C4×C11—22no—
200C22×C4×C11—22no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—21no—
204C22×C4×C11—41no—
205C22×C4×C11—41no—
206C22×C4×C11—41no—
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D411yescharacteristic
211C11×Q16—44no—
212C11×SD16—44no—
213C11×M16—22no—
214C11×M16—41no—
215C2×C8×C11—41no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—41no—
227C11×C4⋊C4—41no—
228C11×C4⋊C4—42no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—21no—
237C11×C22⋊C4—21no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—21no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—22no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—42no—
247C11×C22⋊C4—44no—
248C11×C22⋊C4—42no—
249C11×C22⋊C4C2×D412yes—
250C11×C22⋊C4C2×D411yescharacteristic
251C11×C22⋊C4C2×D411yescharacteristic
252C42×C11—22no—
253C42×C11—22no—
254C42×C11—21no—
255C42×C11—21no—
256C42×C11—41no—
257C42×C11—41no—
258C42×C11C2×D412yes—
259#3540C2×C1111yescharacteristic, complemented
260#3027C2×C1111yescharacteristic, complemented
261#3025C2×C1111yescharacteristic, complemented
262#3022C2×C1111yescharacteristic, complemented
263#2199C2×C1114yescomplemented
264#2197C2×C1114yescomplemented
265#2129C2×C1111yescharacteristic, complemented
266#2122C2×C1111yescharacteristic, complemented
267#2120C2×C1111yescharacteristic, complemented
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—21no—
272C23×C11—41no—
273C23×C11—41no—
274C23×C11—42no—
275C23×C11—81no—
276C23×C11—82no—
277C23×C11#12011yescharacteristic
278C23×C11C22×D411yescharacteristic
279C23×C11C22×D411yescharacteristic
280Q8×C11—22no—
281Q8×C11—41no—
282Q8×C11—42no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—41no—
287Q8×C11—41no—
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—41no—
300D4×C11—41no—
301D4×C11—41no—
302D4×C11—81no—
303D4×C11—81no—
304D4×C11—82no—
305D4×C11—82no—
306D4×C11—82no—
307D4×C11—81no—
308D4×C11—82no—
309D4×C11—84no—
310D4×C11—164no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—22no—
318C2×C4×C11—22no—
319C2×C4×C11—21no—
320C2×C4×C11—22no—
321C2×C4×C11—21no—
322C2×C4×C11—22no—
323C2×C4×C11—22no—
324C2×C4×C11—21no—
325C2×C4×C11—42no—
326C2×C4×C11—42no—
327C2×C4×C11—42no—
328C2×C4×C11—41no—
329C2×C4×C11—42no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—42no—
334C2×C4×C11—42no—
335C2×C4×C11—81no—
336C2×C4×C11—81no—
337C2×C4×C11—82no—
338C2×C4×C11—82no—
339C2×C4×C11#12011yescharacteristic
340C2×C4×C11#12011yescharacteristic
341C2×C4×C11#12011yescharacteristic
342C2×C4×C11C22×D411yescharacteristic
343C8×C11—42no—
344#585C22×C1111yescharacteristic
345C2×#137—21no—
346H(3,𝔽4)C22×C1112yescomplemented
347#560—21no—
348#559—21no—
349#556—21no—
350#555—21no—
351#551C22×C1112yescomplemented
352#548—21no—
353#546—21no—
354#542—22no—
355#542—21no—
356#538—22no—
357#536C22×C1111yescharacteristic
358#535—21no—
359#535C22×C1111yescharacteristic
360#525—21no—
361#525—21no—
362#525C22×C1111yescharacteristic
363#458—21no—
364#458C22×C1112yes—
365B(4,𝔽2)—21no—
366B(4,𝔽2)—22no—
367B(4,𝔽2)C22×C1114yes—
368B(4,𝔽2)C22×C1112yes—
369#456—22no—
370#455C22×C1114yes—
371#421—21no—
372#413C22×C1111yescharacteristic
373#410—21no—
374#410—21no—
375#410C22×C1111yescharacteristic
376#410C22×C1111yescharacteristic
377#354C22×C1114yescomplemented
378#352C22×C1112yescomplemented
379AΣL(1,𝔽16)C22×C1112yescomplemented
380AΣL(1,𝔽16)C22×C1114yescomplemented
381C22×C11—21no—
382C22×C11—21no—
383C22×C11—21no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—42no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—41no—
394C22×C11—42no—
395C22×C11—82no—
396C22×C11—82no—
397C22×C11—84no—
398C22×C11—81no—
399C22×C11—161no—
400C22×C11C2×#12011yescharacteristic
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—21no—
404C4×C11—41no—
405C4×C11—42no—
406C4×C11—42no—
407C4×C11—41no—
408C4×C11—42no—
409C4×C11—41no—
410C4×C11—42no—
411C4×C11—82no—
412C4×C11—82no—
413C4×C11B(4,𝔽2)11yescharacteristic
414C4×C11B(4,𝔽2)11yescharacteristic
4152−1+4—21no—
4162−1+4—41no—
417H(5,𝔽2)—21no—
418H(5,𝔽2)—21no—
419H(5,𝔽2)—41no—
420H(5,𝔽2)C23×C1112yes—
421C2×#41—21no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—42no—
426C2×#41C23×C1111yescharacteristic
427C22×Q8D4×C1111yescharacteristic, complemented
428C22×D4D4×C1111yescharacteristic, complemented
429C23×C4D4×C1111yescharacteristic, complemented
430#137—24no—
431#137—42no—
432C2×Q16—41no—
433C2×SD16—41no—
434C2×M16—21no—
435C4⋊Q8—21no—
436C4⋊Q8D4×C1112yescomplemented
437#127—21no—
438#127—41no—
439#126—22no—
440#126—22no—
441#126—22no—
442#124—22no—
443#124—21no—
444#124—21no—
445#124—22no—
446#124—22no—
447#124—22no—
448#124—22no—
449#124—41no—
450#124C23×C1112yes—
451#123—22no—
452#123—22no—
453#123—21no—
454#123—21no—
455#123—22no—
456#123—22no—
457#123D4×C1111yescharacteristic, complemented
458#123C23×C1111yescharacteristic
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—22no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—41no—
466#121—21no—
467#121—22no—
468#121—22no—
469#121—22no—
470#121—21no—
471#121—21no—
472#121—21no—
473#121—42no—
474#121—41no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—24no—
479#120D4×C1111yescharacteristic, complemented
480#120D4×C1112yescomplemented
481#120C23×C1111yescharacteristic
482#120C23×C1112yes—
483C4×Q8—21no—
484C4×Q8—22no—
485C4×D4—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—22no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—42no—
492#117—21no—
493#117—22no—
494#117—21no—
495#117—21no—
496#117D4×C1111yescharacteristic, complemented
497#117D4×C1111yescharacteristic, complemented
498#117D4×C1111yescharacteristic, complemented
499C2×C22⋊C4—22no—
500#104—24no—
501#101—21no—
502#100C23×C1112yes—
503#99—21no—
504#99—21no—
505#99—24no—
506#99—22no—
507#99—22no—
508#99C23×C1112yes—
509#99C23×C1112yes—
510C2×C11—21no—
511C2×C11—41no—
512C2×C11—41no—
513C2×C11—41no—
514C2×C11—81no—
515C2×C11—82no—
516C2×C11—82no—
517C2×C11C2×B(4,𝔽2)11yescharacteristic
518C24C2×D4×C1112yes—
519C24C2×D4×C1111yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—41no—
544C2×Q8—41no—
545C2×Q8—42no—
546C2×Q8C2×D4×C1112yes—
547C2×Q8C2×D4×C1111yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—22no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—42no—
568C2×D4—44no—
569C2×D4C2×D4×C1111yescharacteristic
570C2×D4C2×D4×C1111yescharacteristic
571C2×D4C24×C1111yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4C2×D4×C1111yescharacteristic
583C22×C4C2×D4×C1111yescharacteristic
584C22×C4C2×D4×C1111yescharacteristic
585C22×C4C2×D4×C1111yescharacteristic
586Q16—44no—
587SD16—44no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—21no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4—42no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—44no—
623C22⋊C4—42no—
624C22⋊C4C2×D4×C1112yes—
625C22⋊C4C2×D4×C1111yescharacteristic
626C22⋊C4C2×D4×C1111yescharacteristic
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C1112yes—
634C11#3355511yescharacteristic, direct product factor, Sylow
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23C11×#12011yescharacteristic
645C23C22×D4×C1111yescharacteristic
646C23C22×D4×C1111yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4C11×#12011yescharacteristic
707C2×C4C11×#12011yescharacteristic
708C2×C4C11×#12011yescharacteristic
709C2×C4C22×D4×C1111yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×C11×#12011yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4C11×B(4,𝔽2)11yescharacteristic
744C4C11×B(4,𝔽2)11yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3540C2semidirect
2. C11×#3027C2semidirect
3. C11×#3025C2semidirect
4. C11×#3022C2semidirect
5. C11×#2199C2semidirect
6. C11×#2197C2semidirect
7. C11×#2129C2semidirect
8. C11×#2122C2semidirect
9. C11×#2120C2semidirect
12. C11×H(3,𝔽4)C22semidirect
17. C11×#551C22semidirect
43. C11×#354C22semidirect
44. C11×#352C22semidirect
45. C11×AΣL(1,𝔽16)C22semidirect
46. C11×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C11D4semidirect
60. C22×D4×C11D4semidirect
61. C23×C4×C11D4semidirect
68. C11×C4⋊Q8D4semidirect
89. C11×#123D4semidirect
111. C11×#120D4semidirect
112. C11×#120D4semidirect
128. C11×#117D4semidirect
129. C11×#117D4semidirect
130. C11×#117D4semidirect
142. #33555C11direct (N × H)
259. #3540C2×C11semidirect
260. #3027C2×C11semidirect
261. #3025C2×C11semidirect
262. #3022C2×C11semidirect
263. #2199C2×C11semidirect
264. #2197C2×C11semidirect
265. #2129C2×C11semidirect
266. #2122C2×C11semidirect
267. #2120C2×C11semidirect
346. H(3,𝔽4)C22×C11semidirect
351. #551C22×C11semidirect
377. #354C22×C11semidirect
378. #352C22×C11semidirect
379. AΣL(1,𝔽16)C22×C11semidirect
380. AΣL(1,𝔽16)C22×C11semidirect
427. C22×Q8D4×C11semidirect
428. C22×D4D4×C11semidirect
429. C23×C4D4×C11semidirect
436. C4⋊Q8D4×C11semidirect
457. #123D4×C11semidirect
479. #120D4×C11semidirect
480. #120D4×C11semidirect
496. #117D4×C11semidirect
497. #117D4×C11semidirect
498. #117D4×C11semidirect
634. C11#33555direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35402
C11×#30272
C11×#30252
C11×#30222
C11×#21992
C11×#21972
C11×#21292
C11×#21222
C11×#21202
#3355511