Finite Group Databasebeta

← #14780707

Subgroups — #14780707

Order 2816.

2198 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623361C211yesmaximal, characteristic, complemented
2C2×#10623361C211yesmaximal, characteristic, complemented
3C2×#10622849C211yesmaximal, characteristic, complemented
4#13077135C211yesmaximal, characteristic, complemented
5C22×#66887C211yesmaximal, characteristic, complemented
6#13069642C214yesmaximal, complemented
7#13069628C214yesmaximal, complemented
8#13068327C211yesmaximal, characteristic, complemented
9C2×C11×#575C211yesmaximal, characteristic, complemented
10C22×C11×#41C2211yescharacteristic
11C22×C11×#41C2211yescharacteristic
12C23×D44C2211yescharacteristic
13C11×#575—24no—
14C11×#575—24no—
15C2×C11×#137—21no—
16C2×C11×#137C2212yescomplemented
17C2×C11×AGL(1,ℤ/8)—21no—
18C2×C11×AGL(1,ℤ/8)C2212yescomplemented
19C2×C11×#135—22no—
20C22×C11×M16C2211yescharacteristic
21#10623361—22no—
22#10623361—24no—
23#10623361—22no—
24#10623361—22no—
25#10623361—24no—
26#10623361C2214yes—
27C2×#67000—21no—
28C2×#67000C2212yescomplemented
29C2×#66993—21no—
30C2×#66993C2212yescomplemented
31C2×#66990—22no—
32C2×#66990—22no—
33C2×#66983—22no—
34C2×#66983—22no—
35C2×#66979C2211yescharacteristic
36C2×#66979C2211yescharacteristic
37C22×#4318C2211yescharacteristic
38#10622849—24no—
39C2×#66901C2214yescomplemented
40#10622846—22no—
41#10622845—22no—
42#10622838C2212yescomplemented
43#10622828C2212yescomplemented
44C2×#66887—24no—
45C2×#66887C2214yescomplemented
46#10622193C2214yescomplemented
47C24×D11D412yes—
48C2×C11×#41—21no—
49C2×C11×#41—22no—
50C2×C11×#41—21no—
51C2×C11×#41—21no—
52C2×C11×#41—21no—
53C2×C11×#41—22no—
54C2×C11×#41—21no—
55C2×C11×#41—21no—
56C2×C11×#41—22no—
57C2×C11×#41—22no—
58C2×C11×#41—22no—
59C2×C11×#41—22no—
60C2×C11×#41—22no—
61C2×C11×#41D412yescomplemented
62C2×C11×#41D414yescomplemented
63C2×C11×#41C2312yes—
64C22×Q8×C11D411yescharacteristic, complemented
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11—21no—
67C22×D4×C11—21no—
68C22×D4×C11D411yescharacteristic, complemented
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C22×C22⋊D11—24no—
74C22×C22⋊D11—24no—
75C22×D44—22no—
76C22×D44—21no—
77C22×D44—21no—
78C22×D44—22no—
79C22×D44—21no—
80C22×D44—21no—
81C22×D44—22no—
82C22×D44—22no—
83C22×D44D412yes—
84C22×D44C2312yes—
85C11×#137—28no—
86C11×#137—24no—
87C11×#137—24no—
88C11×AGL(1,ℤ/8)—28no—
89C11×AGL(1,ℤ/8)—24no—
90C11×AGL(1,ℤ/8)—24no—
91C11×#135—216no—
92C2×C11×Q16—22no—
93C2×C11×SD16—22no—
94C2×C11×SD16—22no—
95C2×C11×D8—22no—
96C2×C11×M16—21no—
97C2×C11×M16—22no—
98C2×C11×M16D414yescomplemented
99C2×C11×M16C2312yes—
100C22×C8×C11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103#67000—24no—
104#67000—24no—
105#67000—24no—
106#67000—24no—
107#66993—24no—
108#66993—24no—
109#66993—24no—
110#66993—24no—
111#66990—28no—
112#66990—216no—
113#66990—28no—
114#66983—216no—
115#66983—28no—
116#66983—28no—
117C2×(C2×D11)⋊C4—24no—
118C2×(C2×D11)⋊C4—24no—
119#66979—21no—
120#66979—21no—
121#66979—22no—
122#66979D412yescomplemented
123#66979D414yescomplemented
124#66979C2312yes—
125C2×C4⋊Dic11—21no—
126C2×C4⋊Dic11D412yescomplemented
127C2×C4×Dic11—21no—
128C2×C4×Dic11C2312yes—
129C2×#4318—21no—
130C2×#4318—22no—
131C2×#4318—22no—
132C2×#4318C2312yes—
133C22×C11⋊C8—21no—
134#66901—28no—
135#66899—24no—
136#66896—24no—
137#66887—28no—
138#23402—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11—21no—
141C24×C11C2×D411yescharacteristic
142C23×D11—22no—
143C23×D11—22no—
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—84no—
147C23×D11C2×D414yes—
148C11×#41—24no—
149C11×#41—24no—
150C11×#41—24no—
151C11×#41—24no—
152C11×#41—24no—
153C11×#41—24no—
154C11×#41—22no—
155C11×#41—22no—
156C11×#41—22no—
157C11×#41—22no—
158C11×#41—42no—
159C11×#41—42no—
160C11×#41—42no—
161C11×#41—42no—
162C11×#41—42no—
163C11×#41—42no—
164C11×#41—42no—
165C11×#41—42no—
166C2×Q8×C11—21no—
167C2×Q8×C11—21no—
168C2×Q8×C11—22no—
169C2×Q8×C11—22no—
170C2×Q8×C11—21no—
171C2×Q8×C11—21no—
172C2×Q8×C11—21no—
173C2×Q8×C11—21no—
174C2×Q8×C11C2×D412yes—
175C2×Q8×C11C2×D412yescomplemented
176C2×D4×C11—22no—
177C2×D4×C11—24no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—22no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—21no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—41no—
188C2×D4×C11—41no—
189C2×D4×C11—42no—
190C2×D4×C11—42no—
191C2×D4×C11—42no—
192C2×D4×C11C2×D412yes—
193C2×D4×C11C2×D412yescomplemented
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—22no—
197C22×C4×C11—24no—
198C22×C4×C11—22no—
199C22×C4×C11—41no—
200C22×C4×C11—41no—
201C22×C4×C11—42no—
202C22×C4×C11—42no—
203C22×C4×C11—42no—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D412yes—
208C22×C4×C11C2×D412yes—
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D411yescharacteristic
211C22×C4×C11C2×D412yes—
212C22×C4×C11#4112yes—
213C22×C4×C11C2411yescharacteristic
214C2×C22⋊D11—216no—
215C2×C22⋊D11—216no—
216C2×C22⋊D11—88no—
217C2×C22⋊D11—88no—
218C22×Dic11—22no—
219C22×Dic11—22no—
220C2×D44—22no—
221C2×D44—24no—
222C2×D44—22no—
223C2×D44—24no—
224C2×D44—22no—
225C2×D44—22no—
226C2×D44—22no—
227C2×D44—22no—
228C2×D44—22no—
229C2×D44—22no—
230C2×D44—42no—
231C2×D44—42no—
232C2×D44—42no—
233C2×D44—42no—
234C2×D44—42no—
235C2×D44—42no—
236C2×D44—42no—
237C2×D44—42no—
238C11×Q16—28no—
239C11×SD16—28no—
240C11×SD16—28no—
241C11×D8—28no—
242C11×M16—24no—
243C11×M16—22no—
244C11×M16C2×D414yescomplemented
245C2×C8×C11—24no—
246C2×C8×C11—22no—
247C22⋊Dic11—22no—
248C22⋊Dic11—24no—
249C22⋊Dic11—22no—
250(C2×D11)⋊C4—216no—
251(C2×D11)⋊C4—216no—
252C4⋊Dic11—24no—
253C4⋊Dic11—22no—
254C4⋊Dic11C2×D414yes—
255C4×Dic11—22no—
256C4×Dic11—22no—
257C4×Dic11—22no—
258C4×Dic11C2×D414yescomplemented
259#4318—22no—
260#4318—22no—
261#4318—42no—
262C2×C11⋊C8—22no—
263C2×C11⋊C8—42no—
264C2×#575D1111yescharacteristic, complemented
265C2×#535—111no—
266C2×#535—111no—
267C2×#421—111no—
268#2896—111no—
269C22×#100—111no—
270#2004—114no—
271#2002—114no—
272#1733—111no—
273C23×C11—22no—
274C23×C11—22no—
275C23×C11—42no—
276C23×C11—44no—
277C23×C11—44no—
278C23×C11—41no—
279C23×C11—41no—
280C23×C11—42no—
281C23×C11#12011yescharacteristic
282C23×C11#12011yescharacteristic
283C23×C11#12012yes—
284C23×C11#12112yes—
285C23×C11C22×D411yescharacteristic
286C22×D11—24no—
287C22×D11—24no—
288C22×D11—24no—
289C22×D11—48no—
290C22×D11—48no—
291C22×D11—44no—
292C22×D11—44no—
293C22×D11—84no—
294C22×D11—88no—
295C22×D11—88no—
296Q8×C11—22no—
297Q8×C11—22no—
298Q8×C11—22no—
299Q8×C11—22no—
300Q8×C11—41no—
301Q8×C11—41no—
302Q8×C11—42no—
303D4×C11—22no—
304D4×C11—22no—
305D4×C11—22no—
306D4×C11—22no—
307D4×C11—42no—
308D4×C11—42no—
309D4×C11—44no—
310D4×C11—44no—
311D4×C11—44no—
312D4×C11—41no—
313D4×C11—41no—
314D4×C11—42no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—42no—
320C2×C4×C11—42no—
321C2×C4×C11—42no—
322C2×C4×C11—44no—
323C2×C4×C11—44no—
324C2×C4×C11—44no—
325C2×C4×C11#12011yescharacteristic
326C2×C4×C11#12011yescharacteristic
327C2×C4×C11#12012yes—
328C2×C4×C11#12012yes—
329C2×C4×C11#12012yes—
330C2×C4×C11#12112yes—
331C2×C4×C11#12112yes—
332C2×C4×C11#12112yes—
333C2×C4×C11#12112yes—
334C2×C4×C11#12112yes—
335C2×C4×C11#12712yes—
336C2×C4×C11#12712yes—
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C2×C4×C11C22×D411yescharacteristic
341C2×C4×C11C22×D411yescharacteristic
342C2×C4×C11C2×#4111yescharacteristic
343C22⋊D11—816no—
344C22⋊D11—816no—
345C2×Dic11—24no—
346C2×Dic11—24no—
347C2×Dic11—44no—
348C2×Dic11—44no—
349D44—42no—
350D44—42no—
351D44—42no—
352D44—42no—
353D44—44no—
354D44—44no—
355C8×C11—24no—
356C11⋊C8—42no—
357C22×#41C2×D1111yescharacteristic
358C22×#41C2×D1111yescharacteristic
359C23×D4—111no—
360#575—24no—
361#575—24no—
362C2×#137—21no—
363C2×#137C2×D1112yescomplemented
364C2×AGL(1,ℤ/8)—21no—
365C2×AGL(1,ℤ/8)C2×D1112yescomplemented
366C2×#135—22no—
367C22×M16—111no—
368C22×M16C2×D1111yescharacteristic
369#535—114no—
370#535—224no—
371#535—222no—
372#535—222no—
373#535—222no—
374#535—224no—
375C2×#127—112no—
376C2×#127—221no—
377C2×#124—112no—
378C2×#124—221no—
379C2×#121—222no—
380C2×#121—222no—
381C2×#120—222no—
382C2×#120—222no—
383C2×#117—111no—
384C2×#117—111no—
385#421—224no—
386C2×#104—114no—
387#419—112no—
388#418—112no—
389#417—222no—
390#416—222no—
391C2×#100—114no—
392C2×#100—224no—
393#339—114no—
394C22×C11—22no—
395C22×C11—22no—
396C22×C11—22no—
397C22×C11—42no—
398C22×C11—42no—
399C22×C11—44no—
400C22×C11—42no—
401C22×C11—42no—
402C22×C11—44no—
403C22×C11—82no—
404C22×C11—84no—
405C22×C11—82no—
406C22×C11#39212yes—
407C22×C11#39212yes—
408C22×C11C2×#12011yescharacteristic
409C22×C11C2×#12011yescharacteristic
410C22×C11C2×#12111yescharacteristic
411C2×D11—48no—
412C2×D11—44no—
413C2×D11—48no—
414C2×D11—88no—
415C2×D11—88no—
416C2×D11—84no—
417C4×C11—42no—
418C4×C11—42no—
419C4×C11#39212yes—
420C4×C11#39212yes—
421C4×C11C2×#12011yescharacteristic
422C4×C11C2×#12111yescharacteristic
423C4×C11C2×#12111yescharacteristic
424C4×C11C2×#12711yescharacteristic
425Dic11—44no—
426Dic11—44no—
427C25—112no—
428C2×#41—21no—
429C2×#41—22no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—22no—
434C2×#41—22no—
435C2×#41—22no—
436C2×#41—21no—
437C2×#41—21no—
438C2×#41—22no—
439C2×#41—22no—
440C2×#41—22no—
441C2×#41C22⋊D1112yescomplemented
442C2×#41C22⋊D1114yescomplemented
443C2×#41C22×D1112yes—
444C22×Q8C22⋊D1111yescharacteristic, complemented
445C22×Q8C22×D1111yescharacteristic
446C22×D4—21no—
447C22×D4—21no—
448C22×D4—112no—
449C22×D4—112no—
450C22×D4—224no—
451C22×D4—224no—
452C22×D4—221no—
453C22×D4—221no—
454C22×D4—222no—
455C22×D4—222no—
456C22×D4—221no—
457C22×D4—221no—
458C22×D4—222no—
459C22×D4—222no—
460C22×D4C22⋊D1111yescharacteristic, complemented
461C22×D4C22×D1111yescharacteristic
462C23×C4—21no—
463C23×C4—21no—
464C23×C4C22×D1111yescharacteristic
465#137—28no—
466#137—24no—
467#137—24no—
468AGL(1,ℤ/8)—28no—
469AGL(1,ℤ/8)—24no—
470AGL(1,ℤ/8)—24no—
471#135—216no—
472C2×Q16—22no—
473C2×SD16—22no—
474C2×SD16—22no—
475C2×D8—22no—
476C2×M16—21no—
477C2×M16—22no—
478C2×M16—112no—
479C2×M16—221no—
480C2×M16—222no—
481C2×M16—222no—
482C2×M16C22⋊D1114yescomplemented
483C2×M16C22×D1112yes—
484C22×C8—21no—
485C22×C8—221no—
486#127—224no—
487#127—224no—
488#127—224no—
489#127—224no—
490#124—224no—
491#124—224no—
492#124—224no—
493#124—224no—
494#121—228no—
495#121—228no—
496#121—2216no—
497#120—228no—
498#120—2216no—
499#120—228no—
500#117—114no—
501#117—112no—
502#117—112no—
503#117—221no—
504#117—222no—
505#117—221no—
506C2×C4⋊C4—112no—
507C2×C4⋊C4—221no—
508C2×C22⋊C4—224no—
509C2×C22⋊C4—224no—
510C2×C22⋊C4—221no—
511C2×C22⋊C4—221no—
512C2×C42—112no—
513C2×C42—221no—
514#104—228no—
515#103—224no—
516#102—224no—
517#100—228no—
518C2×C11—21no—
519C2×C11—21no—
520C2×C11—22no—
521C2×C11—22no—
522C2×C11—82no—
523C2×C11—82no—
524C2×C11C2×#39211yescharacteristic
525C2×C11#301912yes—
526D11—84no—
527C24—21no—
528C24—21no—
529C24—114no—
530C24—222no—
531C24—224no—
532C24—222no—
533C24—224no—
534C24—884no—
535C24D4×D1111yescharacteristic
536#41—24no—
537#41—24no—
538#41—24no—
539#41—24no—
540#41—24no—
541#41—24no—
542#41—22no—
543#41—22no—
544#41—22no—
545#41—22no—
546#41—42no—
547#41—42no—
548#41—42no—
549#41—42no—
550#41—42no—
551#41—42no—
552#41—42no—
553#41—42no—
554C2×Q8—21no—
555C2×Q8—21no—
556C2×Q8—22no—
557C2×Q8—22no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8C2×C22⋊D1112yes—
563C2×Q8C2×C22⋊D1112yescomplemented
564C2×D4—24no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—22no—
569C2×D4—22no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4—42no—
578C2×D4—42no—
579C2×D4—42no—
580C2×D4—2216no—
581C2×D4—2216no—
582C2×D4—224no—
583C2×D4—222no—
584C2×D4—222no—
585C2×D4—224no—
586C2×D4—222no—
587C2×D4—222no—
588C2×D4—222no—
589C2×D4—222no—
590C2×D4—222no—
591C2×D4—222no—
592C2×D4—442no—
593C2×D4—442no—
594C2×D4—442no—
595C2×D4—442no—
596C2×D4—442no—
597C2×D4—442no—
598C2×D4—442no—
599C2×D4—442no—
600C2×D4—888no—
601C2×D4—888no—
602C2×D4C2×C22⋊D1112yes—
603C2×D4C2×C22⋊D1112yescomplemented
604C22×C4—21no—
605C22×C4—21no—
606C22×C4—24no—
607C22×C4—22no—
608C22×C4—22no—
609C22×C4—41no—
610C22×C4—41no—
611C22×C4—42no—
612C22×C4—42no—
613C22×C4—42no—
614C22×C4—222no—
615C22×C4—222no—
616C22×C4D4×D1111yescharacteristic
617C22×C4D4×D1111yescharacteristic
618C22×C4D4×D1111yescharacteristic
619C22×C4D4×D1112yes—
620C22×C4#434112yes—
621C22×C4C2×C22⋊D1111yescharacteristic
622C22×C4C2×C22⋊D1111yescharacteristic
623C22×C4C2×C22⋊D1112yes—
624C22×C4C2×C22⋊D1112yes—
625C22×C4C23×D1111yescharacteristic
626Q16—28no—
627SD16—28no—
628SD16—28no—
629D8—28no—
630M16—24no—
631M16—22no—
632M16—222no—
633M16—222no—
634M16—442no—
635M16C2×C22⋊D1114yescomplemented
636C2×C8—24no—
637C2×C8—22no—
638C2×C8—222no—
639C2×C8—442no—
640C4⋊C4—114no—
641C4⋊C4—222no—
642C4⋊C4—224no—
643C22⋊C4—2216no—
644C22⋊C4—2216no—
645C22⋊C4—224no—
646C22⋊C4—222no—
647C22⋊C4—222no—
648C42—114no—
649C42—222no—
650C42—222no—
651C42—222no—
652C11#2340211yescharacteristic, complemented, Sylow
653C23—22no—
654C23—22no—
655C23—42no—
656C23—44no—
657C23—44no—
658C23—41no—
659C23—41no—
660C23—42no—
661C23—224no—
662C23—224no—
663C23—224no—
664C23—448no—
665C23—448no—
666C23—444no—
667C23—444no—
668C23—884no—
669C23—888no—
670C23—888no—
671C23#6699011yescharacteristic
672C23#6699011yescharacteristic
673C23#6699012yes—
674C23#6699112yes—
675C23C2×D4×D1111yescharacteristic
676Q8—22no—
677Q8—22no—
678Q8—22no—
679Q8—22no—
680Q8—41no—
681Q8—41no—
682Q8—42no—
683D4—22no—
684D4—22no—
685D4—22no—
686D4—22no—
687D4—42no—
688D4—42no—
689D4—44no—
690D4—44no—
691D4—44no—
692D4—41no—
693D4—41no—
694D4—42no—
695D4—442no—
696D4—442no—
697D4—442no—
698D4—444no—
699D4—444no—
700D4—442no—
701D4—8816no—
702D4—8816no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—224no—
714C2×C4—224no—
715C2×C4—444no—
716C2×C4—444no—
717C2×C4#6699012yes—
718C2×C4#6699011yescharacteristic
719C2×C4#6699011yescharacteristic
720C2×C4#6699112yes—
721C2×C4#6699212yes—
722C2×C4#6699212yes—
723C2×C4#6699212yes—
724C2×C4#6699212yes—
725C2×C4#6699312yes—
726C2×C4#6699312yes—
727C2×C4#6700612yes—
728C2×C4#6700612yes—
729C2×C4C2×D4×D1111yescharacteristic
730C2×C4C2×D4×D1111yescharacteristic
731C2×C4C2×#434111yescharacteristic
732C2×C4C22×C22⋊D1111yescharacteristic
733C2×C4C22×C22⋊D1111yescharacteristic
734C2×C4C22×C22⋊D1111yescharacteristic
735C8—24no—
736C8—442no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—42no—
745C22—44no—
746C22—82no—
747C22—84no—
748C22—82no—
749C22—448no—
750C22—444no—
751C22—448no—
752C22—884no—
753C22—888no—
754C22—888no—
755C22#1062283612yes—
756C22#1062283612yes—
757C22C2×#6699011yescharacteristic
758C22C2×#6699011yescharacteristic
759C22C2×#6699111yescharacteristic
760C4—42no—
761C4—42no—
762C4—444no—
763C4—444no—
764C4#1062283612yes—
765C4#1062283612yes—
766C4C2×#6699211yescharacteristic
767C4C2×#6699211yescharacteristic
768C4C2×#6699311yescharacteristic
769C4C2×#6700611yescharacteristic
770C2—21no—
771C2—21no—
772C2—22no—
773C2—22no—
774C2—82no—
775C2—82no—
776C2—884no—
777C2C2×#1062283611yescharacteristic
778C2#1307797112yes—
subgroupG/H
centerC22C2×#66990
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#575C2
socleC22×C11C2×#120
hypercenterC2×#575D11
hypocenterC11#23402
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#575

Complements

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

NH ≅ G/Ntype
1. C2×#10623361C2semidirect
2. C2×#10623361C2semidirect
3. C2×#10622849C2semidirect
4. #13077135C2semidirect
5. C22×#66887C2semidirect
6. #13069642C2semidirect
7. #13069628C2semidirect
8. #13068327C2semidirect
9. C2×C11×#575C2semidirect
16. C2×C11×#137C22semidirect
18. C2×C11×AGL(1,ℤ/8)C22semidirect
28. C2×#67000C22semidirect
30. C2×#66993C22semidirect
39. C2×#66901C22semidirect
42. #10622838C22semidirect
43. #10622828C22semidirect
45. C2×#66887C22semidirect
46. #10622193C22semidirect
61. C2×C11×#41D4semidirect
62. C2×C11×#41D4semidirect
64. C22×Q8×C11D4semidirect
68. C22×D4×C11D4semidirect
98. C2×C11×M16D4semidirect
122. #66979D4semidirect
123. #66979D4semidirect
126. C2×C4⋊Dic11D4semidirect
175. C2×Q8×C11C2×D4semidirect
193. C2×D4×C11C2×D4semidirect
244. C11×M16C2×D4semidirect
258. C4×Dic11C2×D4semidirect
264. C2×#575D11semidirect
363. C2×#137C2×D11semidirect
365. C2×AGL(1,ℤ/8)C2×D11semidirect
441. C2×#41C22⋊D11semidirect
442. C2×#41C22⋊D11semidirect
444. C22×Q8C22⋊D11semidirect
460. C22×D4C22⋊D11semidirect
482. C2×M16C22⋊D11semidirect
563. C2×Q8C2×C22⋊D11semidirect
603. C2×D4C2×C22⋊D11semidirect
635. M16C2×C22⋊D11semidirect
652. C11#23402semidirect

Maximal subgroups

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

subgroupindex
C2×#106233612
C2×#106228492
#130771352
C22×#668872
#130696422
#130696282
#130683272
C2×C11×#5752
#2340211