Finite Group Databasebeta

← #15625207

Subgroups — #15625207

Order 2816.

2262 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13081908C211yesmaximal, characteristic, complemented
2C22×#67000C211yesmaximal, characteristic, complemented
3#13079618C214yesmaximal, complemented
4#13079602C214yesmaximal, complemented
5#13079586C214yesmaximal, complemented
6#13079580C214yesmaximal, complemented
7#13079083C212yesmaximal, complemented
8#13079004C212yesmaximal, complemented
9#13078113C212yesmaximal, complemented
10#13078112C212yesmaximal, complemented
11#13077850C211yesmaximal, characteristic, complemented
12#13077846C211yesmaximal, characteristic, complemented
13#13077842C211yesmaximal, characteristic, complemented
14#13077245C211yesmaximal, characteristic, complemented
15C11×#3004C211yesmaximal, characteristic, complemented
16C23×Q8×C11C2211yescharacteristic
17C23×D44C2211yescharacteristic
18C2×C11×#137C2212yescomplemented
19C11×#525C2211yescharacteristic
20#10623363C2211yescharacteristic, complemented
21#41×Dic11C2211yescharacteristic, complemented
22C2×#67002C2212yes—
23C2×#67000—22no—
24C2×#67000—22no—
25C2×#67000—22no—
26C2×#67000C2214yes—
27C2×#67000C2212yes—
28C2×#67000C2214yes—
29C2×#67000C2212yes—
30C2×#66995C2212yescomplemented
31#10623322C2211yescharacteristic
32C22×(C2×D11)⋊C4—22no—
33C22×C4×Dic11C2211yescharacteristic
34C2×#66961C2212yes—
35#10623180—22no—
36#10623155C2212yescomplemented
37#10623153C2212yescomplemented
38#10623131C2212yescomplemented
39#10623127C2212yescomplemented
40#10623117—22no—
41#10623069—22no—
42C4×#4341—22no—
43#10623053C2211yescharacteristic, complemented
44#10623048C2211yescharacteristic, complemented
45C11×#451C2214yescomplemented
46C11×#448C2214yescomplemented
47C11×#419C2212yescomplemented
48C11×#407C2211yescharacteristic
49#10622841C2214yescomplemented
50#10622840C2214yescomplemented
51#10622838C2212yescomplemented
52#10622820C2211yescharacteristic
53#10622804C2214yescomplemented
54#10622803C2214yescomplemented
55#10622798C2218yescomplemented
56#10622789C2214yescomplemented
57#10622781C2214yescomplemented
58#10622778C2218yescomplemented
59#10622744C2212yes—
60#10622731C2212yescomplemented
61M16×Dic11C2212yescomplemented
62#10622659C2214yes—
63#10622649C2214yes—
64#10622614C2212yes—
65#10622432C2218yescomplemented
66#10622413C2218yescomplemented
67#10622411C2218yescomplemented
68#10622408C2218yescomplemented
69#10622345C2214yes—
70#10622344C2214yes—
71#10622332C2214yescomplemented
72#10622331C2214yescomplemented
73C24×D11—21no—
74C2×C11×#41C2311yescharacteristic
75C22×Q8×C11—22no—
76C22×Q8×C11—21no—
77C22×Q8×C11—44no—
78C22×Q8×C11C2312yes—
79C22×Q8×C11C2314yes—
80C23×C4×C11—21no—
81C23×C4×C11C2311yescharacteristic
82C23×Dic11D412yes—
83C2×#4341—22no—
84C2×#4339C2311yescharacteristic
85C22×D44—22no—
86C22×D44—21no—
87C22×D44—44no—
88C22×D44C2312yes—
89C22×D44C2314yes—
90C11×#137—44no—
91C2×C11×Q16C2314yescomplemented
92C2×C11×SD16C2314yescomplemented
93C2×C11×M16C2312yes—
94C11×#123—21no—
95C11×C22⋊Q8C2312yes—
96C11×#121C2312yes—
97C11×#120—21no—
98C4×D4×C11—22no—
99C11×#117C2311yescharacteristic
100#67006—21no—
101#67002—44no—
102#67000—24no—
103#67000—22no—
104#67000—22no—
105#67000—24no—
106#67000—24no—
107#67000—24no—
108#67000—24no—
109#67000C2318yes—
110#67000C2314yes—
111#67000C2314yes—
112#67000C2311yescharacteristic, complemented
113Q8×Dic11C2312yescomplemented
114#66997C2311yescharacteristic, complemented
115C2×#4326C2314yescomplemented
116#66995—44no—
117C2×#4325C2314yes—
118C2×#4325C2314yescomplemented
119#66993C2311yescharacteristic, complemented
120#66992—22no—
121#66992—22no—
122#66989C2311yescharacteristic, complemented
123#66988—22no—
124D4×Dic11—22no—
125D4×Dic11—22no—
126D4×Dic11C2312yescomplemented
127C2×#4323C2314yes—
128#66983C2312yes—
129#66982—21no—
130C4×C22⋊D11—22no—
131C4×C22⋊D11—22no—
132C2×(C2×D11)⋊C4—24no—
133C2×(C2×D11)⋊C4—24no—
134C2×(C2×D11)⋊C4—24no—
135C2×(C2×D11)⋊C4—24no—
136C2×(C2×D11)⋊C4—24no—
137C2×(C2×D11)⋊C4—24no—
138#66979—21no—
139#66979C2311yescharacteristic
140#66977C2312yes—
141C2×C4×Dic11—21no—
142C2×C4×Dic11D412yes—
143C2×C4×Dic11D412yes—
144C2×C4×Dic11D412yes—
145C2×C4×Dic11C2311yescharacteristic
146C2×C4×Dic11C2311yescharacteristic
147C2×C4×Dic11C2312yes—
148C2×C4×Dic11C2312yes—
149C2×#4318C2312yes—
150#66961—44no—
151C2×D88C2314yes—
152C2×#4314C2314yes—
153#66951—22no—
154#66946C2312yescomplemented
155#66945—22no—
156#66943C2312yescomplemented
157#66942—22no—
158#66941C2312yescomplemented
159#66940—22no—
160#66940C2312yescomplemented
161#66939—22no—
162#66938—22no—
163(C22⋊D11)⋊C4—22no—
164(C22⋊D11)⋊C4—22no—
165(C22⋊D11)⋊C4—22no—
166#66932—22no—
167#66931—22no—
168#66931—22no—
169#66930—22no—
170#66930—22no—
171#66925—21no—
172C42×D11—21no—
173C4×Dic22—22no—
174C11×#103C2318yescomplemented
175C11×C22⋊C8C2314yes—
176#66899C2318yescomplemented
177C22⋊(C11⋊C8)C2314yes—
178#66885C2318yes—
179#66879C2314yescomplemented
180Dic11⋊C8C2318yescomplemented
181C8×Dic11C2314yescomplemented
182#66873C2318yes—
183#60799—111nomaximal, Sylow
184C24×C11C2×D411yescharacteristic
185C23×D11—24no—
186C23×D11—22no—
187C23×D11—44no—
188C23×D11—48no—
189C11×#41—24no—
190C2×Q8×C11—24no—
191C2×Q8×C11—22no—
192C2×Q8×C11—24no—
193C2×Q8×C11—24no—
194C2×Q8×C11—48no—
195C2×Q8×C11—44no—
196C2×Q8×C11—48no—
197C2×Q8×C11C2414yes—
198C2×Q8×C11C2411yescharacteristic
199C2×D4×C11—21no—
200C2×D4×C11—22no—
201C2×D4×C11C2411yescharacteristic
202C22×C4×C11—24no—
203C22×C4×C11—24no—
204C22×C4×C11—22no—
205C22×C4×C11—21no—
206C22×C4×C11—44no—
207C22×C4×C11C2×D412yes—
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2412yes—
210C22×C4×C11C2411yescharacteristic
211C2×C22⋊D11—22no—
212C2×C22⋊D11—21no—
213C2×C22⋊D11—22no—
214C22×Dic11—22no—
215C22×Dic11—44no—
216C22×Dic11C2×D412yes—
217C22×Dic11C2×D412yes—
218C22×Dic11C2×D412yes—
219C22×Dic11C2×D412yes—
220C22×Dic11C2×D412yes—
221C22×Dic11C2×D412yes—
222#4341—48no—
223#4339—24no—
224C2×D44—24no—
225C2×D44—22no—
226C2×D44—24no—
227C2×D44—24no—
228C2×D44—48no—
229C2×D44—44no—
230C2×D44—48no—
231C2×D44C2414yes—
232C2×D44C2411yescharacteristic
233C2×C4×D11—22no—
234C2×C4×D11—21no—
235C2×Dic22—22no—
236C2×Dic22C2411yescharacteristic
237C11×Q16—44no—
238C11×SD16—44no—
239C11×M16—24no—
240C2×C8×C11C2414yes—
241C11×C4⋊C4—22no—
242C11×C4⋊C4C2412yes—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—22no—
246C42×C11—21no—
247C22⋊Dic11—22no—
248C22⋊Dic11—22no—
249C22⋊Dic11—22no—
250C22⋊Dic11—21no—
251#4326—44no—
252#4325—44no—
253#4325—44no—
254#4323—44no—
255(C2×D11)⋊C4—22no—
256(C2×D11)⋊C4—22no—
257(C2×D11)⋊C4—28no—
258(C2×D11)⋊C4—28no—
259(C2×D11)⋊C4—28no—
260(C2×D11)⋊C4—28no—
261(C2×D11)⋊C4—22no—
262C4⋊Dic11—22no—
263C4⋊Dic11—22no—
264C4⋊Dic11C2412yes—
265Dic11⋊C4—22no—
266Dic11⋊C4—22no—
267Dic11⋊C4—22no—
268Dic11⋊C4—22no—
269Dic11⋊C4—22no—
270C4×Dic11—22no—
271C4×Dic11—22no—
272C4×Dic11—21no—
273C4×Dic11C2×D412yes—
274C4×Dic11C2×D411yescharacteristic
275C4×Dic11C2×D411yescharacteristic
276C4×Dic11C2×D412yes—
277C4×Dic11C2×D412yes—
278C4×Dic11C2×D412yes—
279C4×Dic11C2×D412yes—
280C4×Dic11C2411yescharacteristic
281C4×Dic11C2412yes—
282C4×Dic11C2411yescharacteristic
283#4318—24no—
284C2×C11⋊C8C2414yes—
285D88—44no—
286#4314—44no—
287#3444—111no—
288C22×#124—111no—
289#3215—114no—
290#3213—114no—
291#3211—114no—
292#3211—114no—
293#3153—112no—
294#3140—112no—
295#3040—112no—
296#3040—112no—
297#3004—111no—
298#3004D1111yescharacteristic, complemented
299#3003—111no—
300#3003—111no—
301#2920—111no—
302C23×C11—22no—
303C23×C11—24no—
304C23×C11—21no—
305C23×C11C22×D411yescharacteristic
306C23×C11C22×D412yes—
307C22×D11—24no—
308C22×D11—21no—
309C22×D11—48no—
310C22×D11—48no—
311C22×D11—48no—
312C22×D11—44no—
313C22×D11—48no—
314C22×D11—816no—
315Q8×C11—22no—
316Q8×C11—24no—
317Q8×C11—24no—
318Q8×C11—48no—
319Q8×C11—44no—
320D4×C11—22no—
321D4×C11—42no—
322D4×C11—44no—
323C2×C4×C11—22no—
324C2×C4×C11—24no—
325C2×C4×C11—24no—
326C2×C4×C11—21no—
327C2×C4×C11—22no—
328C2×C4×C11—24no—
329C2×C4×C11—48no—
330C2×C4×C11—44no—
331C2×C4×C11—42no—
332C2×C4×C11C22×D412yes—
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11H(5,𝔽2)14yes—
335C2×C4×C11C2511yescharacteristic
336C22⋊D11—44no—
337C22⋊D11—42no—
338C22⋊D11—44no—
339C2×Dic11—24no—
340C2×Dic11—24no—
341C2×Dic11—21no—
342C2×Dic11—22no—
343C2×Dic11—42no—
344C2×Dic11—42no—
345C2×Dic11—42no—
346C2×Dic11—42no—
347C2×Dic11—44no—
348C2×Dic11C22×D412yes—
349C2×Dic11C22×D412yes—
350C2×Dic11C22×D412yes—
351C2×Dic11C22×D412yes—
352D44—24no—
353D44—22no—
354D44—24no—
355D44—48no—
356D44—44no—
357C4×D11—44no—
358C4×D11—42no—
359Dic22—22no—
360Dic22—44no—
361C8×C11—24no—
362C11⋊C8—24no—
363C23×Q8C2×D1111yescharacteristic
364C23×D4—111no—
365C2×#137—112no—
366C2×#137C2×D1112yescomplemented
367C2×AGL(1,ℤ/8)—112no—
368C2×AGL(1,ℤ/8)—112no—
369#533—111no—
370#533—112no—
371#532—112no—
372#532—111no—
373#529—112no—
374#529—112no—
375#529—222no—
376#529—222no—
377C2×#124—112no—
378C2×#124—114no—
379C2×#124—114no—
380C2×#124—112no—
381C2×#124—222no—
382C2×#124—222no—
383C2×#124—222no—
384#525—111no—
385#525—222no—
386#525C2×D1111yescharacteristic
387C4×#41—111no—
388C4×#41—111no—
389C4×#41—222no—
390C22×C22⋊C4—222no—
391C22×C42—111no—
392#497—114no—
393#496—114no—
394#495—114no—
395#495—114no—
396#489—118no—
397#488—118no—
398#464—118no—
399#464—118no—
400#463—118no—
401#463—118no—
402#451—114no—
403#451C2×D1114yescomplemented
404#450—114no—
405#450—114no—
406#448—114no—
407#448C2×D1114yescomplemented
408#447—114no—
409#447—114no—
410#432—114no—
411#431—114no—
412#423—112no—
413#419—112no—
414#419C2×D1112yescomplemented
415#418—112no—
416#418—112no—
417#407—111no—
418#407C2×D1111yescharacteristic
419C4×M16—112no—
420C22×C11—28no—
421C22×C11—22no—
422C22×C11—22no—
423C22×C11—22no—
424C22×C11—41no—
425C22×C11—42no—
426C22×C11#53512yes—
427C22×C11#57514yes—
428C22×C11C23×D411yescharacteristic
429C2×D11—44no—
430C2×D11—41no—
431C2×D11—48no—
432C2×D11—42no—
433C2×D11—88no—
434C2×D11—816no—
435C4×C11—22no—
436C4×C11—44no—
437C4×C11—41no—
438C4×C11—42no—
439C4×C11#53512yes—
440C4×C11C2×H(5,𝔽2)12yes—
441Dic11—22no—
442Dic11—22no—
443Dic11—22no—
444Dic11—22no—
445Dic11—41no—
446Dic11—42no—
447C25—221no—
448C2×#41—111no—
449C2×#41—222no—
450C2×#41C22×D1111yescharacteristic
451C22×Q8—22no—
452C22×Q8—21no—
453C22×Q8—44no—
454C22×Q8C22×D1112yes—
455C22×Q8C22×D1114yes—
456C22×D4—112no—
457C22×D4—114no—
458C22×D4—222no—
459C22×D4—221no—
460C22×D4—444no—
461C23×C4—21no—
462C23×C4—112no—
463C23×C4C22×D1111yescharacteristic
464#137—44no—
465#137—444no—
466AGL(1,ℤ/8)—444no—
467AGL(1,ℤ/8)—444no—
468C2×Q16—114no—
469C2×Q16C22×D1114yescomplemented
470C2×SD16—114no—
471C2×SD16—114no—
472C2×SD16—114no—
473C2×SD16C22×D1114yescomplemented
474C2×D8—114no—
475C2×D8—114no—
476C2×M16—112no—
477C2×M16C22×D1112yes—
478C4⋊Q8—112no—
479C4⋊Q8—111no—
480#127—111no—
481#126—222no—
482#126—222no—
483#125—112no—
484#125—222no—
485#124—118no—
486#124—114no—
487#124—114no—
488#124—111no—
489#124—111no—
490#124—222no—
491#124—222no—
492#124—224no—
493#124—222no—
494#124—224no—
495#124—224no—
496#124—224no—
497#124—224no—
498#123—21no—
499#123—222no—
500#123—222no—
501#123—221no—
502C22⋊Q8—112no—
503C22⋊Q8—222no—
504C22⋊Q8—222no—
505C22⋊Q8C22×D1112yes—
506#121—112no—
507#121—222no—
508#121—222no—
509#121C22×D1112yes—
510#120—21no—
511#120—221no—
512C4×Q8—112no—
513C4×Q8—112no—
514C4×Q8—222no—
515C4×Q8—222no—
516C4×D4—22no—
517C4×D4—112no—
518C4×D4—112no—
519C4×D4—222no—
520C4×D4—222no—
521C4×D4—222no—
522C4×D4—222no—
523C4×D4—222no—
524C4×D4—222no—
525C4×D4—222no—
526#117—111no—
527#117—221no—
528#117—222no—
529#117—222no—
530#117—221no—
531#117—222no—
532#117C22×D1111yescharacteristic
533C2×C22⋊C4—224no—
534C2×C22⋊C4—224no—
535C2×C22⋊C4—224no—
536C2×C22⋊C4—224no—
537C2×C22⋊C4—224no—
538C2×C22⋊C4—224no—
539C2×C42—112no—
540C2×C42—112no—
541C2×C42—112no—
542C2×C42—111no—
543C2×C42—112no—
544C2×C42—111no—
545C2×C42—112no—
546C2×C42—221no—
547C2×C42—221no—
548C4⋊C8—118no—
549#103—118no—
550#103C22×D1118yescomplemented
551#102—118no—
552#102—118no—
553C22⋊C8—114no—
554C22⋊C8C22×D1114yes—
555#97—114no—
556C4×C8—114no—
557C2×C11—22no—
558C2×C11—24no—
559C2×C11—81no—
560C2×C11C2×#53511yescharacteristic
561C2×C11C2×#57512yes—
562D11—81no—
563D11—84no—
564C24—224no—
565C24—222no—
566C24—444no—
567C24—448no—
568C24D4×D1111yescharacteristic
569#41—24no—
570#41—224no—
571#41—448no—
572C2×Q8—24no—
573C2×Q8—22no—
574C2×Q8—24no—
575C2×Q8—24no—
576C2×Q8—48no—
577C2×Q8—44no—
578C2×Q8—48no—
579C2×Q8—111no—
580C2×Q8—222no—
581C2×Q8C23×D1114yes—
582C2×Q8C23×D1111yescharacteristic
583C2×D4—22no—
584C2×D4—21no—
585C2×D4—114no—
586C2×D4—111no—
587C2×D4—222no—
588C2×D4—222no—
589C2×D4—221no—
590C2×D4—224no—
591C2×D4—222no—
592C2×D4—224no—
593C2×D4—224no—
594C2×D4—448no—
595C2×D4—444no—
596C2×D4—448no—
597C2×D4C23×D1111yescharacteristic
598C22×C4—24no—
599C22×C4—24no—
600C22×C4—22no—
601C22×C4—21no—
602C22×C4—44no—
603C22×C4—112no—
604C22×C4—112no—
605C22×C4—112no—
606C22×C4—112no—
607C22×C4—112no—
608C22×C4—112no—
609C22×C4—222no—
610C22×C4—222no—
611C22×C4—221no—
612C22×C4—444no—
613C22×C4D4×D1112yes—
614C22×C4D4×D1111yescharacteristic
615C22×C4C23×D1112yes—
616C22×C4C23×D1111yescharacteristic
617Q16—44no—
618Q16—444no—
619SD16—44no—
620SD16—444no—
621SD16—444no—
622SD16—444no—
623D8—444no—
624D8—444no—
625M16—24no—
626M16—224no—
627C2×C8—114no—
628C2×C8C23×D1114yes—
629C4⋊C4—22no—
630C4⋊C4—112no—
631C4⋊C4—222no—
632C4⋊C4—222no—
633C4⋊C4—222no—
634C4⋊C4—222no—
635C4⋊C4—222no—
636C4⋊C4—222no—
637C4⋊C4—222no—
638C4⋊C4C23×D1112yes—
639C22⋊C4—22no—
640C22⋊C4—21no—
641C22⋊C4—22no—
642C22⋊C4—228no—
643C22⋊C4—228no—
644C22⋊C4—228no—
645C22⋊C4—228no—
646C22⋊C4—222no—
647C22⋊C4—222no—
648C22⋊C4—222no—
649C22⋊C4—222no—
650C22⋊C4—221no—
651C22⋊C4—222no—
652C22⋊C4—222no—
653C42—21no—
654C42—111no—
655C42—112no—
656C42—111no—
657C42—112no—
658C42—112no—
659C42—112no—
660C42—112no—
661C42—111no—
662C42—111no—
663C42—112no—
664C42—222no—
665C42—222no—
666C42—221no—
667C11#6079911yescharacteristic, complemented, Sylow
668C23—24no—
669C23—22no—
670C23—21no—
671C23—224no—
672C23—221no—
673C23—448no—
674C23—448no—
675C23—448no—
676C23—448no—
677C23—444no—
678C23—8816no—
679C23C2×D4×D1112yes—
680C23C2×D4×D1111yescharacteristic
681Q8—24no—
682Q8—22no—
683Q8—24no—
684Q8—48no—
685Q8—44no—
686Q8—222no—
687Q8—444no—
688D4—22no—
689D4—44no—
690D4—42no—
691D4—222no—
692D4—224no—
693D4—224no—
694D4—448no—
695D4—444no—
696D4—444no—
697D4—442no—
698D4—444no—
699C2×C4—22no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—22no—
703C2×C4—21no—
704C2×C4—24no—
705C2×C4—48no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—112no—
709C2×C4—112no—
710C2×C4—112no—
711C2×C4—112no—
712C2×C4—224no—
713C2×C4—224no—
714C2×C4—222no—
715C2×C4—221no—
716C2×C4—444no—
717C2×C4—442no—
718C2×C4—442no—
719C2×C4—442no—
720C2×C4—442no—
721C2×C4—444no—
722C2×C4—442no—
723C2×C4C2×D4×D1112yes—
724C2×C4C2×D4×D1111yescharacteristic
725C2×C4#6703714yes—
726C2×C4C24×D1111yescharacteristic
727C8—24no—
728C8—224no—
729C22—28no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—41no—
734C22—42no—
735C22—441no—
736C22—444no—
737C22—442no—
738C22—448no—
739C22—8816no—
740C22—888no—
741C22#1062312312yes—
742C22#1062330814yes—
743C22C22×D4×D1111yescharacteristic
744C4—22no—
745C4—44no—
746C4—41no—
747C4—42no—
748C4—222no—
749C4—222no—
750C4—222no—
751C4—222no—
752C4—441no—
753C4—442no—
754C4#1062312312yes—
755C4C2×#6703712yes—
756C2—24no—
757C2—22no—
758C2—81no—
759C2—884no—
760C2—881no—
761C2C2×#1062312311yescharacteristic
762C2C2×#1062330812yes—
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3004C2
socleC22×C11C23×D4
hypercenter#3004D11
hypocenterC11#60799
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3004

Complements

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

NH ≅ G/Ntype
1. #13081908C2semidirect
2. C22×#67000C2semidirect
3. #13079618C2semidirect
4. #13079602C2semidirect
5. #13079586C2semidirect
6. #13079580C2semidirect
7. #13079083C2semidirect
8. #13079004C2semidirect
9. #13078113C2semidirect
10. #13078112C2semidirect
11. #13077850C2semidirect
12. #13077846C2semidirect
13. #13077842C2semidirect
14. #13077245C2semidirect
15. C11×#3004C2semidirect
18. C2×C11×#137C22semidirect
20. #10623363C22semidirect
21. #41×Dic11C22semidirect
30. C2×#66995C22semidirect
36. #10623155C22semidirect
37. #10623153C22semidirect
38. #10623131C22semidirect
39. #10623127C22semidirect
43. #10623053C22semidirect
44. #10623048C22semidirect
45. C11×#451C22semidirect
46. C11×#448C22semidirect
47. C11×#419C22semidirect
49. #10622841C22semidirect
50. #10622840C22semidirect
51. #10622838C22semidirect
53. #10622804C22semidirect
54. #10622803C22semidirect
55. #10622798C22semidirect
56. #10622789C22semidirect
57. #10622781C22semidirect
58. #10622778C22semidirect
60. #10622731C22semidirect
61. M16×Dic11C22semidirect
65. #10622432C22semidirect
66. #10622413C22semidirect
67. #10622411C22semidirect
68. #10622408C22semidirect
71. #10622332C22semidirect
72. #10622331C22semidirect
91. C2×C11×Q16C23semidirect
92. C2×C11×SD16C23semidirect
112. #67000C23semidirect
113. Q8×Dic11C23semidirect
114. #66997C23semidirect
115. C2×#4326C23semidirect
118. C2×#4325C23semidirect
119. #66993C23semidirect
122. #66989C23semidirect
126. D4×Dic11C23semidirect
154. #66946C23semidirect
156. #66943C23semidirect
158. #66941C23semidirect
160. #66940C23semidirect
174. C11×#103C23semidirect
176. #66899C23semidirect
179. #66879C23semidirect
180. Dic11⋊C8C23semidirect
181. C8×Dic11C23semidirect
298. #3004D11semidirect
366. C2×#137C2×D11semidirect
403. #451C2×D11semidirect
407. #448C2×D11semidirect
414. #419C2×D11semidirect
469. C2×Q16C22×D11semidirect
473. C2×SD16C22×D11semidirect
550. #103C22×D11semidirect
667. C11#60799semidirect

Maximal subgroups

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

subgroupindex
#130819082
C22×#670002
#130796182
#130796022
#130795862
#130795802
#130790832
#130790042
#130781132
#130781122
#130778502
#130778462
#130778422
#130772452
C11×#30042
#6079911