Finite Group Databasebeta

← #14780610

Subgroups — #14780610

Order 2816.

2514 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623359C211yesmaximal, characteristic, complemented
2C22×#66991C211yesmaximal, characteristic, complemented
3C2×#10622845C211yesmaximal, characteristic, complemented
4C2×#10622828C211yesmaximal, characteristic, complemented
5C2×#10622739C211yesmaximal, characteristic, complemented
6#13069616C214yesmaximal, complemented
7#13069611C214yesmaximal, complemented
8#13068336C211yesmaximal, characteristic, complemented
9C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
10C22×C11×#41C2211yescharacteristic
11C23×D4×C11C2211yescharacteristic
12C23×C22⋊D11—21no—
13C23×C4×D11C2211yescharacteristic
14C2×C11×AGL(1,ℤ/8)—24no—
15C2×C11×AGL(1,ℤ/8)—24no—
16C2×C11×AGL(1,ℤ/8)—24no—
17C22×C11×SD16C2212yescomplemented
18C22×C11×D8C2212yescomplemented
19C22×C11×M16C2211yescharacteristic
20C22×C22⋊Dic11—21no—
21#10623359—24no—
22#10623359—24no—
23C2×#66999C2212yescomplemented
24C2×#66991—24no—
25C2×#66991—22no—
26C2×#66991—24no—
27C2×#66991C2214yes—
28C2×#66991C2212yescomplemented
29C2×#66990—21no—
30C2×#66988—21no—
31C2×C4×C22⋊D11—22no—
32C2×#66979C2211yescharacteristic
33C22×C4⋊Dic11C2211yescharacteristic
34C22×#4318C2211yescharacteristic
35#10622845—24no—
36C2×#66899C2212yescomplemented
37#10622828—24no—
38C2×#66896C2212yescomplemented
39C2×#66896C2214yescomplemented
40#10622739—24no—
41C2×(C2×D11)⋊C8C2214yescomplemented
42#10622189C2214yescomplemented
43C25×C11—21no—
44C24×D11D411yescharacteristic
45C2×C11×#41—22no—
46C2×C11×#41—22no—
47C2×C11×#41—22no—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41D414yescomplemented
51C22×Q8×C11C2311yescharacteristic
52C22×D4×C11—21no—
53C22×D4×C11—22no—
54C22×D4×C11—22no—
55C22×D4×C11—22no—
56C22×D4×C11—21no—
57C22×D4×C11—22no—
58C22×D4×C11—22no—
59C22×D4×C11D414yescomplemented
60C22×D4×C11C2312yes—
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—28no—
65C22×C22⋊D11—22no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11—48no—
68C23×Dic11—21no—
69C23×Dic11D411yescharacteristic
70C22×C4×D11—22no—
71C22×C4×D11—22no—
72C22×C4×D11—22no—
73C22×C4×D11—22no—
74C22×C4×D11—22no—
75C22×C4×D11—22no—
76C22×C4×D11D412yes—
77C22×C4×D11C2312yes—
78C11×AGL(1,ℤ/8)—232no—
79C2×C11×SD16—24no—
80C2×C11×SD16—24no—
81C2×C11×SD16—24no—
82C2×C11×D8—24no—
83C2×C11×D8—24no—
84C2×C11×D8—24no—
85C2×C11×M16—22no—
86C2×C11×M16—22no—
87C2×C11×M16D414yescomplemented
88C22×C8×C11C2312yes—
89C2×C22⋊Dic11—28no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—22no—
92C2×C22⋊Dic11—24no—
93#66999—24no—
94#66999—24no—
95#66991—216no—
96#66991—28no—
97#66991—24no—
98#66991—28no—
99#66991—24no—
100#66990—28no—
101#66988—28no—
102C4×C22⋊D11—216no—
103C2×(C2×D11)⋊C4—22no—
104#66979—22no—
105#66979D414yescomplemented
106C2×C4⋊Dic11—21no—
107C2×C4⋊Dic11—22no—
108C2×C4⋊Dic11D414yescomplemented
109C2×C4⋊Dic11C2312yes—
110C2×C4⋊Dic11C2312yes—
111C2×Dic11⋊C4—22no—
112C2×C4×Dic11—21no—
113C2×#4318—22no—
114C2×#4318—22no—
115C2×#4318—22no—
116C22×C11⋊C8C2312yes—
117#66899—24no—
118#66896—24no—
119#66896—28no—
120(C2×D11)⋊C8—28no—
121#23391—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—21no—
124C24×C11—22no—
125C24×C11—44no—
126C24×C11—44no—
127C24×C11—42no—
128C24×C11—42no—
129C24×C11C2×D411yescharacteristic
130C23×D11—22no—
131C23×D11—24no—
132C23×D11—22no—
133C23×D11—22no—
134C23×D11—42no—
135C23×D11C2×D412yes—
136C11×#41—28no—
137C11×#41—28no—
138C11×#41—44no—
139C11×#41—44no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C2×D412yescomplemented
146C2×D4×C11—24no—
147C2×D4×C11—28no—
148C2×D4×C11—24no—
149C2×D4×C11—28no—
150C2×D4×C11—22no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—22no—
155C2×D4×C11—22no—
156C2×D4×C11—22no—
157C2×D4×C11—21no—
158C2×D4×C11—22no—
159C2×D4×C11—21no—
160C2×D4×C11—42no—
161C2×D4×C11—42no—
162C2×D4×C11—42no—
163C2×D4×C11—42no—
164C2×D4×C11—44no—
165C2×D4×C11—44no—
166C2×D4×C11C2×D414yes—
167C2×D4×C11C2×D412yescomplemented
168C22×C4×C11—21no—
169C22×C4×C11—24no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D412yes—
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2×D412yes—
176C22×C4×C11C2×D412yes—
177C22×C4×C11C2×D412yes—
178C22×C4×C11#4112yes—
179C22×C4×C11C2411yescharacteristic
180C2×C22⋊D11—28no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—44no—
183C2×C22⋊D11—432no—
184C2×C22⋊D11—48no—
185C2×C22⋊D11—44no—
186C2×C22⋊D11—48no—
187C22×Dic11—24no—
188C22×Dic11—22no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—44no—
194C22×Dic11C2×D412yes—
195C2×C4×D11—24no—
196C2×C4×D11—24no—
197C2×C4×D11—24no—
198C2×C4×D11—22no—
199C2×C4×D11—22no—
200C2×C4×D11—22no—
201C2×C4×D11—22no—
202C2×C4×D11—22no—
203C2×C4×D11—22no—
204C2×C4×D11—44no—
205C2×C4×D11—44no—
206C2×C4×D11—44no—
207C2×C4×D11—44no—
208C11×SD16—216no—
209C11×D8—216no—
210C11×M16—28no—
211C2×C8×C11—22no—
212C2×C8×C11—22no—
213C2×C8×C11C2×D414yescomplemented
214C22⋊Dic11—28no—
215C22⋊Dic11—216no—
216C22⋊Dic11—24no—
217(C2×D11)⋊C4—28no—
218C4⋊Dic11—24no—
219C4⋊Dic11—22no—
220C4⋊Dic11—22no—
221C4⋊Dic11C2×D414yes—
222C4⋊Dic11C2×D414yescomplemented
223Dic11⋊C4—28no—
224C4×Dic11—24no—
225#4318—44no—
226C2×C11⋊C8—22no—
227C2×C11⋊C8—22no—
228C2×C11⋊C8—22no—
229C22×AGL(1,ℤ/8)D1111yescharacteristic, complemented
230C2×#525—111no—
231C22×#121—111no—
232C2×#417—111no—
233C2×#418—111no—
234C2×#407—111no—
235#2000—114no—
236#1999—114no—
237#1736—111no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—24no—
242C23×C11—48no—
243C23×C11—48no—
244C23×C11—41no—
245C23×C11—42no—
246C23×C11—41no—
247C23×C11—42no—
248C23×C11—44no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—44no—
252C23×C11—48no—
253C23×C11—88no—
254C23×C11—88no—
255C23×C11#12012yes—
256C23×C11#12012yes—
257C23×C11#12112yes—
258C23×C11C22×D411yescharacteristic
259C22×D11—28no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—48no—
267C22×D11—48no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11AGL(1,ℤ/8)14yescomplemented
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—41no—
274Q8×C11—41no—
275D4×C11—22no—
276D4×C11—24no—
277D4×C11—24no—
278D4×C11—22no—
279D4×C11—48no—
280D4×C11—42no—
281D4×C11—41no—
282D4×C11—42no—
283D4×C11—41no—
284D4×C11—48no—
285C2×C4×C11—22no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—48no—
289C2×C4×C11#12012yes—
290C2×C4×C11#12012yes—
291C2×C4×C11#12014yes—
292C2×C4×C11#12112yes—
293C2×C4×C11#12114yes—
294C2×C4×C11#12114yes—
295C2×C4×C11#12714yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C22⋊D11—416no—
303C22⋊D11—432no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—48no—
310C2×Dic11—44no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—44no—
314C4×D11—42no—
315C4×D11—42no—
316C4×D11—42no—
317C4×D11—42no—
318C4×D11—48no—
319C8×C11—24no—
320C11⋊C8—42no—
321C22×#41C2×D1111yescharacteristic
322C23×D4—221no—
323C23×D4C2×D1111yescharacteristic
324C24×C4—111no—
325C2×AGL(1,ℤ/8)—24no—
326C2×AGL(1,ℤ/8)—24no—
327C2×AGL(1,ℤ/8)—24no—
328C22×SD16C2×D1112yescomplemented
329C22×D8C2×D1112yescomplemented
330C22×M16—111no—
331C22×M16C2×D1111yescharacteristic
332#525—224no—
333#525—224no—
334C2×#123—221no—
335C2×C22⋊Q8—112no—
336C2×#121—114no—
337C2×#121—112no—
338C2×#121—224no—
339C2×#121—222no—
340C2×#121—224no—
341C2×#120—221no—
342C2×C4×D4—222no—
343C2×#117—111no—
344C22×C4⋊C4—111no—
345C22×C22⋊C4—221no—
346#418—224no—
347#417—224no—
348C2×#103—112no—
349C2×#102—114no—
350C2×#102—112no—
351#407—224no—
352C2×C22⋊C8—114no—
353#340—114no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—24no—
357C22×C11—24no—
358C22×C11—42no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—44no—
363C22×C11—816no—
364C22×C11—81no—
365C22×C11—81no—
366C22×C11—84no—
367C22×C11—82no—
368C22×C11—84no—
369C22×C11#39214yes—
370C22×C11C2×#12011yescharacteristic
371C22×C11C2×#12011yescharacteristic
372C22×C11C2×#12111yescharacteristic
373C22×C11C2×AGL(1,ℤ/8)12yes—
374C22×C11#57512yes—
375C2×D11—24no—
376C2×D11—24no—
377C2×D11—24no—
378C2×D11—416no—
379C2×D11—42no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C4×C11—42no—
384C4×C11#39214yes—
385C4×C11C2×#12011yescharacteristic
386C4×C11C2×#12111yescharacteristic
387C4×C11C2×#12111yescharacteristic
388C4×C11C2×#12711yescharacteristic
389Dic11—42no—
390Dic11—44no—
391Dic11—44no—
392C25—21no—
393C25—111no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41—22no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41C22⋊D1114yescomplemented
400C22×Q8C22×D1111yescharacteristic
401C22×D4—21no—
402C22×D4—22no—
403C22×D4—21no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—222no—
409C22×D4—224no—
410C22×D4—228no—
411C22×D4—448no—
412C22×D4C22⋊D1114yescomplemented
413C22×D4C22×D1112yes—
414C22×D4C22×D1111yescharacteristic
415C23×C4—21no—
416C23×C4—111no—
417C23×C4—112no—
418C23×C4—112no—
419C23×C4—221no—
420C23×C4—222no—
421C23×C4—222no—
422C23×C4—222no—
423C23×C4—222no—
424C23×C4—222no—
425C23×C4—222no—
426C23×C4C22×D1111yescharacteristic
427AGL(1,ℤ/8)—232no—
428C2×SD16—24no—
429C2×SD16—24no—
430C2×SD16—24no—
431C2×D8—24no—
432C2×D8—24no—
433C2×D8—24no—
434C2×M16—22no—
435C2×M16—22no—
436C2×M16—222no—
437C2×M16—222no—
438C2×M16—222no—
439C2×M16C22⋊D1114yescomplemented
440C22×C8—112no—
441C22×C8C22×D1112yes—
442#123—228no—
443C22⋊Q8—224no—
444C22⋊Q8—224no—
445#121—228no—
446#121—224no—
447#121—2216no—
448#121—228no—
449#121—224no—
450#120—228no—
451C4×D4—2216no—
452#117—114no—
453#117—222no—
454C2×C4⋊C4—114no—
455C2×C4⋊C4—112no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—222no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—222no—
460C2×C22⋊C4—222no—
461C2×C22⋊C4—224no—
462C2×C22⋊C4—222no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—221no—
465C2×C42—221no—
466#103—224no—
467#102—224no—
468#102—228no—
469C22⋊C8—228no—
470C2×C11—24no—
471C2×C11—82no—
472C2×C11—84no—
473C2×C11C2×#39211yescharacteristic
474C2×C11#300311yescharacteristic
475C2×C11#300511yescharacteristic
476C2×C11#300612yes—
477C2×C11#305512yes—
478D11—44no—
479C24—24no—
480C24—21no—
481C24—22no—
482C24—44no—
483C24—44no—
484C24—42no—
485C24—42no—
486C24—112no—
487C24—224no—
488C24—222no—
489C24—222no—
490C24—222no—
491C24—442no—
492C24D4×D1111yescharacteristic
493#41—28no—
494#41—28no—
495#41—44no—
496#41—44no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8C2×C22⋊D1112yescomplemented
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—28no—
506C2×D4—28no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—228no—
524C2×D4—2216no—
525C2×D4—448no—
526C2×D4—444no—
527C2×D4—4432no—
528C2×D4—448no—
529C2×D4—444no—
530C2×D4C2×C22⋊D1114yes—
531C2×D4C2×C22⋊D1112yescomplemented
532C22×C4—21no—
533C22×C4—24no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—112no—
537C22×C4—222no—
538C22×C4—224no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—224no—
544C22×C4—224no—
545C22×C4—224no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—444no—
553C22×C4—444no—
554C22×C4—444no—
555C22×C4—444no—
556C22×C4—444no—
557C22×C4D4×D1111yescharacteristic
558C22×C4D4×D1112yes—
559C22×C4D4×D1112yes—
560C22×C4#434112yes—
561C22×C4C2×C22⋊D1112yes—
562C22×C4C2×C22⋊D1112yes—
563C22×C4C2×C22⋊D1112yes—
564C22×C4C23×D1111yescharacteristic
565SD16—216no—
566D8—216no—
567M16—28no—
568M16—444no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—222no—
572C2×C8—222no—
573C2×C8—222no—
574C2×C8C2×C22⋊D1114yescomplemented
575C4⋊C4—114no—
576C4⋊C4—114no—
577C4⋊C4—228no—
578C4⋊C4—224no—
579C4⋊C4—222no—
580C4⋊C4—222no—
581C22⋊C4—228no—
582C22⋊C4—2216no—
583C22⋊C4—228no—
584C22⋊C4—224no—
585C42—224no—
586C11#2339111yescharacteristic, complemented, Sylow
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—48no—
592C23—48no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—41no—
598C23—42no—
599C23—41no—
600C23—42no—
601C23—48no—
602C23—88no—
603C23—88no—
604C23—114no—
605C23—228no—
606C23—222no—
607C23—222no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—222no—
612C23—448no—
613C23—448no—
614C23—444no—
615C23—444no—
616C23#6699012yes—
617C23#6699012yes—
618C23#6699112yes—
619C23C2×D4×D1111yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624D4—24no—
625D4—22no—
626D4—22no—
627D4—24no—
628D4—48no—
629D4—42no—
630D4—41no—
631D4—42no—
632D4—41no—
633D4—48no—
634D4—4432no—
635D4—4416no—
636C2×C4—22no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—48no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—224no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—448no—
646C2×C4—444no—
647C2×C4—442no—
648C2×C4—442no—
649C2×C4—444no—
650C2×C4—442no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—448no—
654C2×C4—442no—
655C2×C4#6699012yes—
656C2×C4#6699012yes—
657C2×C4#6699112yes—
658C2×C4#6699214yes—
659C2×C4#6699214yes—
660C2×C4#6699314yes—
661C2×C4#6700614yes—
662C2×C4C2×D4×D1111yescharacteristic
663C2×C4C2×D4×D1111yescharacteristic
664C2×C4C2×#434111yescharacteristic
665C2×C4C22×C22⋊D1111yescharacteristic
666C2×C4C22×C22⋊D1111yescharacteristic
667C2×C4C22×C22⋊D1111yescharacteristic
668C8—24no—
669C8—442no—
670C22—22no—
671C22—22no—
672C22—24no—
673C22—24no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—42no—
678C22—44no—
679C22—816no—
680C22—81no—
681C22—81no—
682C22—84no—
683C22—84no—
684C22—82no—
685C22—224no—
686C22—224no—
687C22—224no—
688C22—4416no—
689C22—442no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22#1062283614yes—
694C22D11×AGL(1,ℤ/8)12yes—
695C22#1062330412yes—
696C22C2×#6699011yescharacteristic
697C22C2×#6699011yescharacteristic
698C22C2×#6699111yescharacteristic
699C4—42no—
700C4—444no—
701C4—444no—
702C4—442no—
703C4#1062283614yes—
704C4C2×#6699211yescharacteristic
705C4C2×#6699211yescharacteristic
706C4C2×#6699311yescharacteristic
707C4C2×#6700611yescharacteristic
708C2—24no—
709C2—84no—
710C2—82no—
711C2—444no—
712C2C2×#1062283611yescharacteristic
713C2#1307784111yescharacteristic
714C2#1307785511yescharacteristic
715C2#1307786412yes—
716C2#1307822912yes—
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×AGL(1,ℤ/8)C2
socleC23×C11C22×D4
hypercenterC22×AGL(1,ℤ/8)D11
hypocenterC11#23391
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×#10623359C2semidirect
2. C22×#66991C2semidirect
3. C2×#10622845C2semidirect
4. C2×#10622828C2semidirect
5. C2×#10622739C2semidirect
6. #13069616C2semidirect
7. #13069611C2semidirect
8. #13068336C2semidirect
9. C22×C11×AGL(1,ℤ/8)C2semidirect
17. C22×C11×SD16C22semidirect
18. C22×C11×D8C22semidirect
23. C2×#66999C22semidirect
28. C2×#66991C22semidirect
36. C2×#66899C22semidirect
38. C2×#66896C22semidirect
39. C2×#66896C22semidirect
41. C2×(C2×D11)⋊C8C22semidirect
42. #10622189C22semidirect
50. C2×C11×#41D4semidirect
59. C22×D4×C11D4semidirect
87. C2×C11×M16D4semidirect
105. #66979D4semidirect
108. C2×C4⋊Dic11D4semidirect
145. C2×Q8×C11C2×D4semidirect
167. C2×D4×C11C2×D4semidirect
213. C2×C8×C11C2×D4semidirect
222. C4⋊Dic11C2×D4semidirect
229. C22×AGL(1,ℤ/8)D11semidirect
270. C22×D11AGL(1,ℤ/8)semidirect
328. C22×SD16C2×D11semidirect
329. C22×D8C2×D11semidirect
399. C2×#41C22⋊D11semidirect
412. C22×D4C22⋊D11semidirect
439. C2×M16C22⋊D11semidirect
502. C2×Q8C2×C22⋊D11semidirect
531. C2×D4C2×C22⋊D11semidirect
574. C2×C8C2×C22⋊D11semidirect
586. C11#23391semidirect

Maximal subgroups

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

subgroupindex
C2×#106233592
C22×#669912
C2×#106228452
C2×#106228282
C2×#106227392
#130696162
#130696112
#130683362
C22×C11×AGL(1,ℤ/8)2
#2339111