Finite Group Databasebeta

← #15620733

Subgroups — #15620733

Order 2816.

2890 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66985C211yesmaximal, characteristic, complemented
2#13081945C211yesmaximal, characteristic, complemented
3C2×#10623329C211yesmaximal, characteristic, complemented
4#13078130C214yesmaximal, complemented
5#13078125C214yesmaximal, complemented
6#13078121C214yesmaximal, complemented
7#13078116C214yesmaximal, complemented
8#13078077C218yesmaximal, complemented
9#13077179C211yesmaximal, characteristic, complemented
10#13077136C211yesmaximal, characteristic, complemented
11#13077135C211yesmaximal, characteristic, complemented
12C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C22×#4339C2211yescharacteristic
16C2×C11×AGL(1,ℤ/8)—28no—
17C2×C11×AGL(1,ℤ/8)C2214yes—
18C2×C11×AGL(1,ℤ/8)C2214yescomplemented
19C22×C11×SD16C2212yescomplemented
20C22×C11×D8C2212yescomplemented
21C22×C11×M16C2211yescharacteristic
22C22×C22⋊Dic11—22no—
23#10623364—22no—
24#10623363C2214yescomplemented
25#10623361C2212yescomplemented
26#10623359—22no—
27#10623356C2212yescomplemented
28#10623347C2212yescomplemented
29#10623336C2212yescomplemented
30#10623335—22no—
31#10623329—22no—
32#10623329—22no—
33#10623329C2214yescomplemented
34#10623329C2214yescomplemented
35C2×D4×Dic11—22no—
36C2×D4×Dic11C2214yescomplemented
37C22×#4324C2212yescomplemented
38C2×#66985—28no—
39C2×#66985C2214yes—
40C2×#66985C2214yescomplemented
41C22×#4323C2212yescomplemented
42#10623322—22no—
43C2×#66979C2211yescharacteristic
44C2×#66979C2211yescharacteristic
45C22×#4318C2211yescharacteristic
46#10622846C2214yescomplemented
47#10622845C2214yescomplemented
48#10622838C2212yescomplemented
49#10622828C2212yescomplemented
50#10622778C22116yescomplemented
51#10622775C22116yescomplemented
52#10622766C22116yescomplemented
53#10622763C22116yescomplemented
54#10622746C2214yescomplemented
55#10622744C2212yescomplemented
56#10622733C2212yescomplemented
57#10622732C2214yescomplemented
58#10622731C2214yescomplemented
59#10622726C2214yescomplemented
60#10622715C2214yescomplemented
61C25×C11—21no—
62C2×C11×#41—21no—
63C2×C11×#41—21no—
64C2×C11×#41—24no—
65C2×C11×#41—24no—
66C2×C11×#41C2312yes—
67C2×C11×#41C2312yes—
68C22×Q8×C11C2311yescharacteristic
69C22×D4×C11—21no—
70C22×D4×C11—21no—
71C22×D4×C11—21no—
72C22×D4×C11—21no—
73C22×D4×C11—24no—
74C22×D4×C11D418yescomplemented
75C22×D4×C11C2311yescharacteristic
76C22×D4×C11C2312yes—
77C22×D4×C11C2312yes—
78C22×D4×C11C2312yes—
79C23×C4×C11—21no—
80C23×C4×C11C2311yescharacteristic
81C22×C22⋊D11—21no—
82C23×Dic11—24no—
83C2×#4339—21no—
84C2×#4339—21no—
85C2×#4339—24no—
86C2×#4339—24no—
87C2×#4339C2312yes—
88C2×#4339C2312yes—
89C22×D44C2311yescharacteristic
90C22×C4×D11—21no—
91C22×Dic22C2311yescharacteristic
92C11×AGL(1,ℤ/8)—216no—
93C11×AGL(1,ℤ/8)—216no—
94C2×C11×SD16—28no—
95C2×C11×SD16C2318yes—
96C2×C11×D8—28no—
97C2×C11×D8C2318yes—
98C2×C11×M16—24no—
99C2×C11×M16C2312yes—
100C2×C11×M16C2312yes—
101C22×C8×C11C2312yes—
102#67006—24no—
103C2×C22⋊Dic11—21no—
104C2×C22⋊Dic11—24no—
105C2×C22⋊Dic11—28no—
106C2×C22⋊Dic11—28no—
107C2×C22⋊Dic11D412yes—
108#67000C2314yescomplemented
109#66999—24no—
110#66997C2314yescomplemented
111#66993C2314yescomplemented
112#66992—28no—
113#66991—24no—
114#66990—24no—
115#66989C2314yescomplemented
116#66988—24no—
117D4×Dic11—28no—
118D4×Dic11—28no—
119D4×Dic11—28no—
120D4×Dic11C23116yes—
121C2×#4324—28no—
122C2×#4324C2318yes—
123#66985—216no—
124#66985—216no—
125C2×#4323—28no—
126C2×#4323C2318yes—
127#66983—24no—
128#66982—24no—
129C4×C22⋊D11—28no—
130#66979—21no—
131#66979—21no—
132#66979D412yes—
133#66979D412yes—
134#66979C2312yes—
135#66979C2312yes—
136#66979C2312yes—
137#66979C2312yes—
138C2×C4⋊Dic11D412yes—
139C2×C4⋊Dic11C2312yes—
140#66977—24no—
141C2×C4×Dic11—21no—
142C2×C4×Dic11C2312yes—
143C2×#4318—24no—
144C2×#4318C2312yes—
145C2×#4318C2312yes—
146C22×C11⋊C8C2312yes—
147#66899C2318yescomplemented
148#66896C2318yescomplemented
149#66885C2318yescomplemented
150#66880C2318yescomplemented
151Dic11⋊C8C23116yescomplemented
152#60423—111nomaximal, Sylow
153C24×C11—22no—
154C24×C11—28no—
155C24×C11—22no—
156C24×C11—22no—
157C24×C11—21no—
158C24×C11—84no—
159C24×C11C2×D411yescharacteristic
160C23×D11—21no—
161C11×#41—24no—
162C11×#41—24no—
163C11×#41—24no—
164C11×#41—24no—
165C11×#41—44no—
166C11×#41—44no—
167C2×Q8×C11—21no—
168C2×Q8×C11—22no—
169C2×Q8×C11—22no—
170C2×Q8×C11C2412yes—
171C2×D4×C11—22no—
172C2×D4×C11—22no—
173C2×D4×C11—28no—
174C2×D4×C11—28no—
175C2×D4×C11—28no—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—24no—
182C2×D4×C11—24no—
183C2×D4×C11—24no—
184C2×D4×C11—22no—
185C2×D4×C11—44no—
186C2×D4×C11C2×D418yes—
187C2×D4×C11C2×D418yes—
188C2×D4×C11C2×D418yes—
189C2×D4×C11C2412yes—
190C2×D4×C11C2414yes—
191C22×C4×C11—21no—
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—44no—
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D414yes—
199C22×C4×C11#4114yes—
200C22×C4×C11C2411yescharacteristic
201C22×C4×C11C2411yescharacteristic
202C22×C4×C11C2411yescharacteristic
203C2×C22⋊D11—28no—
204C2×C22⋊D11—22no—
205C2×C22⋊D11—22no—
206C2×C22⋊D11—44no—
207C22×Dic11—216no—
208C22×Dic11—22no—
209C22×Dic11—21no—
210C22×Dic11—88no—
211C22×Dic11C2×D414yes—
212#4339—24no—
213#4339—24no—
214#4339—24no—
215#4339—24no—
216#4339—44no—
217#4339—44no—
218C2×D44—21no—
219C2×D44—22no—
220C2×D44—22no—
221C2×D44C2412yes—
222C2×C4×D11—22no—
223C2×C4×D11—22no—
224C2×C4×D11—44no—
225C2×Dic22—22no—
226C2×Dic22—21no—
227C2×Dic22—22no—
228C2×Dic22C2412yes—
229C11×SD16—216no—
230C11×D8—216no—
231C11×M16—24no—
232C11×M16—24no—
233C2×C8×C11—24no—
234C2×C8×C11C2414yes—
235C22⋊Dic11—28no—
236C22⋊Dic11—216no—
237C22⋊Dic11—22no—
238C22⋊Dic11—22no—
239C22⋊Dic11C2×D414yes—
240C22⋊Dic11C2×D414yes—
241#4324—216no—
242#4323—216no—
243(C2×D11)⋊C4—28no—
244C4⋊Dic11—22no—
245C4⋊Dic11C2×D414yes—
246C4⋊Dic11C2×D414yes—
247C4⋊Dic11C2414yes—
248Dic11⋊C4—28no—
249C4×Dic11—22no—
250C4×Dic11—22no—
251C4×Dic11C2×D414yes—
252C4×Dic11C2414yes—
253#4318—24no—
254#4318—24no—
255C2×C11⋊C8—24no—
256C2×C11⋊C8C2414yes—
257C22×AGL(1,ℤ/8)—111no—
258C22×AGL(1,ℤ/8)D1111yescharacteristic, complemented
259#3449—111no—
260C2×#518—111no—
261#3042—114no—
262#3042—114no—
263#3041—114no—
264#3041—114no—
265#3036—118no—
266#2905—111no—
267#2896—111no—
268#2896—111no—
269C23×C11—28no—
270C23×C11—24no—
271C23×C11—28no—
272C23×C11—28no—
273C23×C11—22no—
274C23×C11—42no—
275C23×C11—48no—
276C23×C11—42no—
277C23×C11—82no—
278C23×C11—84no—
279C23×C11—84no—
280C23×C11—816no—
281C23×C11#12114yes—
282C23×C11C22×D411yescharacteristic
283C23×C11C22×D411yescharacteristic
284C23×C11C22×D411yescharacteristic
285C22×D11—22no—
286C22×D11—42no—
287C22×D11—82no—
288Q8×C11—22no—
289Q8×C11—22no—
290Q8×C11—42no—
291D4×C11—28no—
292D4×C11—28no—
293D4×C11—28no—
294D4×C11—22no—
295D4×C11—24no—
296D4×C11—22no—
297D4×C11—44no—
298D4×C11—44no—
299D4×C11—42no—
300D4×C11C22×D418yes—
301C2×C4×C11—22no—
302C2×C4×C11—42no—
303C2×C4×C11—44no—
304C2×C4×C11—44no—
305C2×C4×C11#12114yes—
306C2×C4×C11#12114yes—
307C2×C4×C11#12114yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C22×D411yescharacteristic
311C2×C4×C11C22×D412yes—
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D412yes—
314C2×C4×C11C2×#4112yes—
315C2×C4×C11C2×#4112yes—
316C2×C4×C11C2×#4112yes—
317C2×C4×C11C2511yescharacteristic
318C22⋊D11—44no—
319C22⋊D11—44no—
320C22⋊D11—88no—
321C2×Dic11—24no—
322C2×Dic11—22no—
323C2×Dic11—44no—
324C2×Dic11—44no—
325C2×Dic11—42no—
326C2×Dic11—816no—
327C2×Dic11C22×D418yes—
328D44—22no—
329D44—22no—
330D44—42no—
331C4×D11—44no—
332C4×D11—44no—
333Dic22—22no—
334Dic22—22no—
335Dic22—42no—
336C8×C11—24no—
337C11⋊C8—24no—
338C22×#41—111no—
339C22×#41C2×D1111yescharacteristic
340C23×D4C2×D1111yescharacteristic
341C2×AGL(1,ℤ/8)—28no—
342C2×AGL(1,ℤ/8)—114no—
343C2×AGL(1,ℤ/8)—114no—
344C2×AGL(1,ℤ/8)—228no—
345C2×AGL(1,ℤ/8)C2×D1114yes—
346C2×AGL(1,ℤ/8)C2×D1114yescomplemented
347C22×SD16—112no—
348C22×SD16C2×D1112yescomplemented
349C22×D8—112no—
350C22×D8C2×D1112yescomplemented
351C22×M16—111no—
352C22×M16C2×D1111yescharacteristic
353#537—222no—
354#536—112no—
355#536—112no—
356#535—112no—
357#535—112no—
358#534—222no—
359#532—114no—
360#525—222no—
361#525—222no—
362#518—114no—
363#518—114no—
364#518—222no—
365#518—222no—
366C2×C4×D4—114no—
367C2×C4×D4—222no—
368C2×#117—111no—
369C2×#117—111no—
370C22×C22⋊C4—222no—
371#463—1116no—
372#463—1116no—
373#461—1116no—
374#459—1116no—
375#424—114no—
376#424—114no—
377#423—114no—
378#419—112no—
379#419—112no—
380#418—112no—
381#418—112no—
382#417—114no—
383#417—114no—
384#416—114no—
385#416—114no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—28no—
390C22×C11—44no—
391C22×C11—416no—
392C22×C11—48no—
393C22×C11—44no—
394C22×C11—42no—
395C22×C11—88no—
396C22×C11—88no—
397C22×C11—84no—
398C22×C11C2×#12112yes—
399C22×C11C2×#12112yes—
400C22×C11C2×#12112yes—
401C22×C11C23×D411yescharacteristic
402C2×D11—44no—
403C2×D11—42no—
404C2×D11—84no—
405C4×C11—42no—
406C4×C11C2×#12112yes—
407C4×C11C2×#12112yes—
408C4×C11C2×#12112yes—
409C4×C11C23×D411yescharacteristic
410C4×C11C22×#4111yescharacteristic
411Dic11—28no—
412Dic11—44no—
413Dic11—42no—
414C25—21no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—24no—
418C2×#41—24no—
419C2×#41—112no—
420C2×#41—112no—
421C2×#41—221no—
422C2×#41—221no—
423C2×#41—224no—
424C2×#41—224no—
425C2×#41C22×D1112yes—
426C2×#41C22×D1112yes—
427C22×Q8—111no—
428C22×Q8C22×D1111yescharacteristic
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4—24no—
434C22×D4—111no—
435C22×D4—221no—
436C22×D4C22⋊D1118yescomplemented
437C22×D4C22×D1111yescharacteristic
438C22×D4C22×D1112yes—
439C22×D4C22×D1112yes—
440C22×D4C22×D1112yes—
441C23×C4—21no—
442C23×C4—224no—
443C23×C4—221no—
444C23×C4C22×D1111yescharacteristic
445AGL(1,ℤ/8)—216no—
446AGL(1,ℤ/8)—216no—
447AGL(1,ℤ/8)—2216no—
448AGL(1,ℤ/8)—2216no—
449C2×SD16—28no—
450C2×SD16—118no—
451C2×SD16—228no—
452C2×SD16C22×D1118yes—
453C2×D8—28no—
454C2×D8—118no—
455C2×D8—228no—
456C2×D8C22×D1118yes—
457C2×M16—24no—
458C2×M16—112no—
459C2×M16—112no—
460C2×M16—224no—
461C2×M16C22×D1112yes—
462C2×M16C22×D1112yes—
463C22×C8—112no—
464C22×C8C22×D1112yes—
465C4⋊Q8—114no—
466#127—114no—
467#124—114no—
468#124—114no—
469#123—224no—
470#123—224no—
471C22⋊Q8—224no—
472C22⋊Q8—224no—
473#121—224no—
474#121—224no—
475#121—228no—
476#120—224no—
477#120—224no—
478C4×D4—1116no—
479C4×D4—228no—
480C4×D4—228no—
481C4×D4—228no—
482C4×D4—228no—
483#117—112no—
484#117—112no—
485#117—112no—
486#117—112no—
487#117—112no—
488#117—112no—
489#117—221no—
490#117—221no—
491C2×C4⋊C4—112no—
492C2×C4⋊C4—112no—
493C2×C22⋊C4—112no—
494C2×C22⋊C4—228no—
495C2×C22⋊C4—228no—
496C2×C22⋊C4—224no—
497C2×C22⋊C4—221no—
498C2×C42—112no—
499C2×C42—221no—
500C4⋊C8—1116no—
501#103—118no—
502#103—118no—
503#102—118no—
504#102—118no—
505C2×C11—22no—
506C2×C11—22no—
507C2×C11—22no—
508C2×C11—48no—
509C2×C11—82no—
510C2×C11C22×#12111yescharacteristic
511C2×C11#358512yes—
512D11—82no—
513C24—22no—
514C24—28no—
515C24—22no—
516C24—22no—
517C24—21no—
518C24—84no—
519C24—221no—
520C24D4×D1111yescharacteristic
521#41—24no—
522#41—24no—
523#41—24no—
524#41—24no—
525#41—44no—
526#41—44no—
527#41—224no—
528#41—224no—
529#41—224no—
530#41—224no—
531#41—444no—
532#41—444no—
533C2×Q8—21no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—112no—
537C2×Q8—221no—
538C2×Q8—222no—
539C2×Q8—222no—
540C2×Q8C23×D1112yes—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—28no—
544C2×D4—28no—
545C2×D4—28no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—24no—
551C2×D4—24no—
552C2×D4—24no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—44no—
556C2×D4—112no—
557C2×D4—228no—
558C2×D4—222no—
559C2×D4—222no—
560C2×D4—221no—
561C2×D4—222no—
562C2×D4—222no—
563C2×D4—444no—
564C2×D4C2×C22⋊D1118yes—
565C2×D4C2×C22⋊D1118yes—
566C2×D4C2×C22⋊D1118yes—
567C2×D4C23×D1112yes—
568C2×D4C23×D1114yes—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—44no—
573C22×C4—114no—
574C22×C4—2216no—
575C22×C4—222no—
576C22×C4—221no—
577C22×C4—222no—
578C22×C4—222no—
579C22×C4—444no—
580C22×C4—888no—
581C22×C4D4×D1111yescharacteristic
582C22×C4D4×D1111yescharacteristic
583C22×C4D4×D1111yescharacteristic
584C22×C4#434114yes—
585C22×C4C2×C22⋊D1114yes—
586C22×C4C23×D1111yescharacteristic
587C22×C4C23×D1111yescharacteristic
588C22×C4C23×D1111yescharacteristic
589SD16—216no—
590SD16—2216no—
591D8—216no—
592D8—2216no—
593M16—24no—
594M16—24no—
595M16—224no—
596M16—224no—
597C2×C8—24no—
598C2×C8—114no—
599C2×C8—224no—
600C2×C8C23×D1114yes—
601C4⋊C4—114no—
602C4⋊C4—114no—
603C4⋊C4—114no—
604C4⋊C4—228no—
605C4⋊C4—222no—
606C22⋊C4—114no—
607C22⋊C4—114no—
608C22⋊C4—228no—
609C22⋊C4—2216no—
610C22⋊C4—228no—
611C22⋊C4—222no—
612C22⋊C4—222no—
613C42—114no—
614C42—114no—
615C42—222no—
616C42—222no—
617C11#6042311yescharacteristic, complemented, Sylow
618C23—28no—
619C23—24no—
620C23—28no—
621C23—28no—
622C23—22no—
623C23—42no—
624C23—48no—
625C23—42no—
626C23—82no—
627C23—84no—
628C23—84no—
629C23—816no—
630C23—222no—
631C23—442no—
632C23—882no—
633C23#6699214yes—
634C23C2×D4×D1111yescharacteristic
635C23C2×D4×D1111yescharacteristic
636C23C2×D4×D1111yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—42no—
640Q8—222no—
641Q8—222no—
642Q8—442no—
643D4—28no—
644D4—28no—
645D4—28no—
646D4—24no—
647D4—22no—
648D4—22no—
649D4—44no—
650D4—44no—
651D4—42no—
652D4—222no—
653D4—222no—
654D4—444no—
655D4—444no—
656D4—442no—
657D4—888no—
658D4C22×C22⋊D1118yes—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—118no—
664C2×C4—224no—
665C2×C4—222no—
666C2×C4—444no—
667C2×C4—444no—
668C2×C4—442no—
669C2×C4—444no—
670C2×C4—444no—
671C2×C4—8816no—
672C2×C4#6699214yes—
673C2×C4#6699214yes—
674C2×C4#6699214yes—
675C2×C4C2×D4×D1111yescharacteristic
676C2×C4C2×D4×D1111yescharacteristic
677C2×C4C2×D4×D1111yescharacteristic
678C2×C4C2×#434112yes—
679C2×C4C2×#434112yes—
680C2×C4C2×#434112yes—
681C2×C4C22×C22⋊D1112yes—
682C2×C4C22×C22⋊D1112yes—
683C2×C4C22×C22⋊D1112yes—
684C2×C4C24×D1111yescharacteristic
685C8—24no—
686C8—224no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—28no—
691C22—44no—
692C22—416no—
693C22—48no—
694C22—44no—
695C22—42no—
696C22—88no—
697C22—88no—
698C22—84no—
699C22—444no—
700C22—442no—
701C22—884no—
702C22C2×#6699212yes—
703C22C2×#6699212yes—
704C22C2×#6699212yes—
705C22C22×D4×D1111yescharacteristic
706C4—42no—
707C4—228no—
708C4—444no—
709C4—442no—
710C4C2×#6699212yes—
711C4C2×#6699212yes—
712C4C2×#6699212yes—
713C4C22×#434111yescharacteristic
714C4C23×C22⋊D1111yescharacteristic
715C2—22no—
716C2—22no—
717C2—22no—
718C2—48no—
719C2—82no—
720C2—882no—
721C2C22×#6699211yescharacteristic
722C2#1308339212yes—
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×AGL(1,ℤ/8)C2
socleC22×C11C23×D4
hypercenterC22×AGL(1,ℤ/8)D11
hypocenterC11#60423
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C22×#66985C2semidirect
2. #13081945C2semidirect
3. C2×#10623329C2semidirect
4. #13078130C2semidirect
5. #13078125C2semidirect
6. #13078121C2semidirect
7. #13078116C2semidirect
8. #13078077C2semidirect
9. #13077179C2semidirect
10. #13077136C2semidirect
11. #13077135C2semidirect
12. C22×C11×AGL(1,ℤ/8)C2semidirect
18. C2×C11×AGL(1,ℤ/8)C22semidirect
19. C22×C11×SD16C22semidirect
20. C22×C11×D8C22semidirect
24. #10623363C22semidirect
25. #10623361C22semidirect
27. #10623356C22semidirect
28. #10623347C22semidirect
29. #10623336C22semidirect
33. #10623329C22semidirect
34. #10623329C22semidirect
36. C2×D4×Dic11C22semidirect
37. C22×#4324C22semidirect
40. C2×#66985C22semidirect
41. C22×#4323C22semidirect
46. #10622846C22semidirect
47. #10622845C22semidirect
48. #10622838C22semidirect
49. #10622828C22semidirect
50. #10622778C22semidirect
51. #10622775C22semidirect
52. #10622766C22semidirect
53. #10622763C22semidirect
54. #10622746C22semidirect
55. #10622744C22semidirect
56. #10622733C22semidirect
57. #10622732C22semidirect
58. #10622731C22semidirect
59. #10622726C22semidirect
60. #10622715C22semidirect
74. C22×D4×C11D4semidirect
108. #67000C23semidirect
110. #66997C23semidirect
111. #66993C23semidirect
115. #66989C23semidirect
147. #66899C23semidirect
148. #66896C23semidirect
149. #66885C23semidirect
150. #66880C23semidirect
151. Dic11⋊C8C23semidirect
258. C22×AGL(1,ℤ/8)D11semidirect
346. C2×AGL(1,ℤ/8)C2×D11semidirect
348. C22×SD16C2×D11semidirect
350. C22×D8C2×D11semidirect
436. C22×D4C22⋊D11semidirect
617. C11#60423semidirect

Maximal subgroups

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

subgroupindex
C22×#669852
#130819452
C2×#106233292
#130781302
#130781252
#130781212
#130781162
#130780772
#130771792
#130771362
#130771352
C22×C11×AGL(1,ℤ/8)2
#6042311