Finite Group Databasebeta

← C2×#13078159 #15620702

Subgroups — C2×#13078159 #15620702

Order 2816.

2934 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67003C211yesmaximal, characteristic, complemented
2C2×#10623336C211yesmaximal, characteristic, complemented
3C2×#10623358C211yesmaximal, characteristic, complemented
4#13078159C2116yesmaximal, direct product factor
5C2×#10622779C212yesmaximal, complemented
6C2×#10622776C212yesmaximal, complemented
7C2×#10622766C212yesmaximal, complemented
8C2×#10622763C212yesmaximal, complemented
9C2×#10622732C211yesmaximal, characteristic, complemented
10C2×#10622746C211yesmaximal, characteristic, complemented
11C22×#66896C211yesmaximal, 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)C2218yescomplemented
18C22×C11×SD16C2212yes—
19C22×C11×D8C2212yes—
20C22×C11×M16C2211yescharacteristic
21C2×#67006—22no—
22#10623358—24no—
23#10623358C2218yescomplemented
24C2×#67003—28no—
25C2×#67003C2218yescomplemented
26C2×Q8×Dic11C2212yescomplemented
27C22×#4326C2211yescharacteristic, complemented
28C22×#4325C2211yescharacteristic, complemented
29#10623336—24no—
30#10623336C2218yescomplemented
31C2×#66993C2212yes—
32C2×#66991—21no—
33C2×#66991—21no—
34C2×#66989C2212yes—
35C2×D4×Dic11—22no—
36C2×D4×Dic11C2212yescomplemented
37C22×#4324C2211yescharacteristic, complemented
38C22×#4323C2211yescharacteristic, complemented
39C2×#66979—21no—
40C2×#66979C2211yescharacteristic
41C22×C4⋊Dic11—21no—
42C22×C4⋊Dic11C2211yescharacteristic
43C23×C11⋊C8C2211yescharacteristic
44C2×#66896C2212yes—
45C2×#66896C2212yes—
46C2×#66896C2218yescomplemented
47#10622779C22116yescomplemented
48#10622776C22116yescomplemented
49#10622766C22116yescomplemented
50#10622763C22116yescomplemented
51#10622746C2218yescomplemented
52#10622732C2218yescomplemented
53C2×#66885C2212yescomplemented
54C2×#66880C2212yescomplemented
55C2×Dic11⋊C8C2212yescomplemented
56C2×Dic11⋊C8C2212yescomplemented
57C25×C11—21no—
58C2×C11×#41—22no—
59C2×C11×#41—24no—
60C2×C11×#41D418yescomplemented
61C2×C11×#41C2314yes—
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11—24no—
65C22×D4×C11—21no—
66C22×D4×C11—22no—
67C22×D4×C11—24no—
68C22×D4×C11C2312yes—
69C22×D4×C11C2314yes—
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C22×C22⋊D11—21no—
74C22×C22⋊D11—22no—
75C22×C22⋊D11—22no—
76C23×Dic11—21no—
77C23×Dic11—22no—
78C2×#4339—22no—
79C2×#4339—24no—
80C2×#4339—24no—
81C2×#4339C2314yes—
82C22×D44C2311yescharacteristic
83C22×C4×D11—21no—
84C22×Dic22C2311yescharacteristic
85C11×AGL(1,ℤ/8)—232no—
86C2×C11×SD16—28no—
87C2×C11×SD16C2318yes—
88C2×C11×D8—28no—
89C2×C11×D8C2318yes—
90C2×C11×M16—24no—
91C2×C11×M16C2314yes—
92C22×C8×C11C2312yes—
93#67006—216no—
94C2×C22⋊Dic11—22no—
95C2×C22⋊Dic11—22no—
96C2×C22⋊Dic11—22no—
97C2×C22⋊Dic11D412yes—
98#67003—232no—
99Q8×Dic11—24no—
100Q8×Dic11C2318yescomplemented
101C2×#4326—24no—
102C2×#4326C2314yescomplemented
103C2×#4325—24no—
104C2×#4325C2314yescomplemented
105#66993—24no—
106#66993C2318yes—
107#66991—28no—
108#66991—28no—
109#66989—24no—
110#66989C2318yes—
111D4×Dic11—216no—
112D4×Dic11—24no—
113D4×Dic11C2318yescomplemented
114C2×#4324—24no—
115C2×#4324C2314yescomplemented
116C2×#4323—24no—
117C2×#4323C2314yescomplemented
118#66979—28no—
119#66979D414yes—
120#66979C2314yes—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11—22no—
123C2×C4⋊Dic11—22no—
124C2×C4⋊Dic11—28no—
125C2×C4⋊Dic11D411yescharacteristic
126C2×C4⋊Dic11D411yescharacteristic
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2314yes—
129C2×C4×Dic11—22no—
130C2×C4×Dic11C2312yes—
131C22×C11⋊C8—24no—
132C22×C11⋊C8C2314yes—
133C22×C11⋊C8C2311yescharacteristic
134C22×C11⋊C8C2311yescharacteristic
135#66896C2318yes—
136#66896C2318yes—
137#66885C2318yescomplemented
138#66880C2318yescomplemented
139Dic11⋊C8C2318yescomplemented
140Dic11⋊C8C2318yescomplemented
141C2×#3045—111nomaximal, Sylow
142C24×C11—21no—
143C24×C11—22no—
144C24×C11—24no—
145C24×C11—44no—
146C24×C11—82no—
147C24×C11—82no—
148C24×C11C2×D411yescharacteristic
149C23×D11—21no—
150C11×#41—216no—
151C11×#41—28no—
152C11×#41C2×D4116yescomplemented
153C2×Q8×C11—21no—
154C2×Q8×C11—22no—
155C2×Q8×C11C2×D414yes—
156C2×Q8×C11C2412yes—
157C2×D4×C11—28no—
158C2×D4×C11—24no—
159C2×D4×C11—21no—
160C2×D4×C11—24no—
161C2×D4×C11—28no—
162C2×D4×C11—22no—
163C2×D4×C11—24no—
164C2×D4×C11—22no—
165C2×D4×C11—24no—
166C2×D4×C11—28no—
167C2×D4×C11—44no—
168C2×D4×C11—48no—
169C2×D4×C11C2×D414yes—
170C2×D4×C11C2414yes—
171C2×D4×C11C2412yes—
172C22×C4×C11—21no—
173C22×C4×C11—28no—
174C22×C4×C11—24no—
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D412yes—
177C22×C4×C11C2×D414yes—
178C22×C4×C11#4114yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2412yes—
181C2×C22⋊D11—28no—
182C2×C22⋊D11—28no—
183C2×C22⋊D11—24no—
184C2×C22⋊D11—44no—
185C2×C22⋊D11—84no—
186C2×C22⋊D11—84no—
187C22×Dic11—28no—
188C22×Dic11—22no—
189C22×Dic11—21no—
190C22×Dic11—24no—
191C22×Dic11—82no—
192C22×Dic11—84no—
193C22×Dic11C2×D412yes—
194C22×Dic11C2×D412yes—
195#4339—28no—
196#4339—28no—
197#4339—48no—
198C2×D44—21no—
199C2×D44—22no—
200C2×D44—22no—
201C2×D44C2412yes—
202C2×C4×D11—24no—
203C2×C4×D11—44no—
204C2×Dic22—22no—
205C2×Dic22—21no—
206C2×Dic22—22no—
207C2×Dic22C2412yes—
208C11×SD16—216no—
209C11×D8—216no—
210C11×M16—28no—
211C2×C8×C11—24no—
212C2×C8×C11C2414yes—
213C22⋊Dic11—28no—
214C22⋊Dic11—28no—
215C22⋊Dic11—28no—
216C22⋊Dic11C2×D418yes—
217#4326—28no—
218#4325—28no—
219#4324—28no—
220#4323—28no—
221C4⋊Dic11—28no—
222C4⋊Dic11—24no—
223C4⋊Dic11—22no—
224C4⋊Dic11C2×D414yes—
225C4⋊Dic11C2×D414yes—
226C4⋊Dic11C2414yes—
227C4×Dic11—28no—
228C4×Dic11C2×D414yes—
229C4×Dic11C2414yes—
230C2×C11⋊C8—22no—
231C2×C11⋊C8—22no—
232C2×C11⋊C8—28no—
233C2×C11⋊C8C2412yes—
234C2×C11⋊C8C2412yes—
235C22×AGL(1,ℤ/8)D1111yescharacteristic, complemented
236C22×#135—111no—
237C2×#535—111no—
238C2×#520—111no—
239#3045—1116no—
240C2×#464—112no—
241C2×#460—112no—
242C2×#463—112no—
243C2×#459—112no—
244C2×#424—111no—
245C2×#417—111no—
246C22×#102—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—22no—
251C23×C11—24no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—48no—
255C23×C11—44no—
256C23×C11—44no—
257C23×C11—44no—
258C23×C11—84no—
259C23×C11—84no—
260C23×C11—816no—
261C23×C11#12114yes—
262C23×C11C22×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—42no—
266C22×D11—42no—
267C22×D11—42no—
268Q8×C11—24no—
269Q8×C11—22no—
270Q8×C11C22×D414yes—
271D4×C11—216no—
272D4×C11—24no—
273D4×C11—24no—
274D4×C11—22no—
275D4×C11—24no—
276D4×C11—48no—
277D4×C11—44no—
278D4×C11C22×D414yes—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—216no—
282C2×C4×C11#12114yes—
283C2×C4×C11#12118yes—
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C22×D412yes—
286C2×C4×C11C22×D412yes—
287C2×C4×C11C22×D414yes—
288C2×C4×C11C2×#4112yes—
289C2×C4×C11C2×#4114yes—
290C2×C4×C11C2511yescharacteristic
291C22⋊D11—48no—
292C22⋊D11—88no—
293C22⋊D11—88no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—22no—
298C2×Dic11—42no—
299C2×Dic11—44no—
300C2×Dic11—88no—
301C2×Dic11—84no—
302C2×Dic11C22×D414yes—
303C2×Dic11C22×D414yes—
304D44—22no—
305D44—22no—
306D44—42no—
307C4×D11—48no—
308Dic22—22no—
309Dic22—22no—
310Dic22—42no—
311C8×C11—24no—
312C11⋊C8—22no—
313C11⋊C8—22no—
314C22×#41—111no—
315C22×#41C2×D1111yescharacteristic
316C23×D4C2×D1111yescharacteristic
317C2×AGL(1,ℤ/8)—28no—
318C2×AGL(1,ℤ/8)C2×D1118yescomplemented
319C2×#135—118no—
320C2×#135—228no—
321C22×Q16—111no—
322C22×SD16—111no—
323C22×SD16—111no—
324C22×SD16C2×D1112yes—
325C22×D8—111no—
326C22×D8C2×D1112yes—
327C22×M16C2×D1111yescharacteristic
328C23×C8—111no—
329#535—118no—
330#535—224no—
331C2×#127—112no—
332C2×#124—112no—
333C2×#121—221no—
334C2×#121—221no—
335C2×#120—222no—
336#520—118no—
337#520—224no—
338C2×C4×Q8—112no—
339C2×C4×D4—112no—
340C2×C4×D4—222no—
341C2×#117—111no—
342C2×#117—221no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#464—1116no—
346#463—1116no—
347#460—1116no—
348#459—1116no—
349#424—118no—
350C2×C4⋊C8—112no—
351C2×C4⋊C8—112no—
352#417—118no—
353C2×#103—112no—
354C2×#102—112no—
355C2×#102—112no—
356C2×#102—118no—
357C2×#102—112no—
358C22×C11—28no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—24no—
362C22×C11—48no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—816no—
369C22×C11—88no—
370C22×C11C2×#12114yes—
371C22×C11C2×#12112yes—
372C22×C11#57612yes—
373C22×C11#57712yes—
374C22×C11C23×D411yescharacteristic
375C2×D11—42no—
376C2×D11—42no—
377C2×D11—42no—
378C2×D11—84no—
379C4×C11—24no—
380C4×C11C2×#12114yes—
381C4×C11C2×#12112yes—
382C4×C11C23×D411yescharacteristic
383C4×C11C22×#4111yescharacteristic
384Dic11—24no—
385Dic11—24no—
386Dic11—42no—
387Dic11—44no—
388C25—21no—
389C2×#41—22no—
390C2×#41—24no—
391C2×#41—114no—
392C2×#41—222no—
393C2×#41—224no—
394C2×#41—224no—
395C2×#41C22⋊D1118yescomplemented
396C2×#41C22×D1114yes—
397C22×Q8—111no—
398C22×Q8C22×D1111yescharacteristic
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—22no—
402C22×D4—24no—
403C22×D4—24no—
404C22×D4—111no—
405C22×D4—222no—
406C22×D4—222no—
407C22×D4—221no—
408C22×D4C22×D1112yes—
409C22×D4C22×D1114yes—
410C22×D4C22×D1111yescharacteristic
411C23×C4—21no—
412C23×C4—222no—
413C23×C4—221no—
414C23×C4—221no—
415C23×C4C22×D1111yescharacteristic
416AGL(1,ℤ/8)—232no—
417#135—2232no—
418C2×Q16—114no—
419C2×Q16—224no—
420C2×SD16—28no—
421C2×SD16—114no—
422C2×SD16—114no—
423C2×SD16—224no—
424C2×SD16—224no—
425C2×SD16C22×D1118yes—
426C2×D8—28no—
427C2×D8—114no—
428C2×D8—224no—
429C2×D8C22×D1118yes—
430C2×M16—24no—
431C2×M16C22×D1114yes—
432C22×C8—111no—
433C22×C8—111no—
434C22×C8—114no—
435C22×C8—224no—
436C22×C8C22×D1112yes—
437#127—118no—
438#127—224no—
439#124—118no—
440#124—224no—
441#121—228no—
442#121—228no—
443#120—2216no—
444C4×Q8—118no—
445C4×Q8—224no—
446C4×D4—118no—
447C4×D4—224no—
448C4×D4—2216no—
449#117—114no—
450#117—114no—
451#117—228no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—228no—
457C2×C4⋊C4—222no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—222no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—222no—
462C2×C22⋊C4—222no—
463C2×C22⋊C4—222no—
464C2×C42—112no—
465C2×C42—222no—
466C4⋊C8—118no—
467C4⋊C8—118no—
468#103—118no—
469#102—118no—
470#102—118no—
471#102—118no—
472C2×C11—24no—
473C2×C11—44no—
474C2×C11—84no—
475C2×C11#304514yescomplemented
476C2×C11C22×#12111yescharacteristic
477C2×C11C2×#57611yescharacteristic
478C2×C11C2×#57711yescharacteristic
479D11—82no—
480C24—21no—
481C24—22no—
482C24—24no—
483C24—44no—
484C24—82no—
485C24—82no—
486C24—221no—
487C24D4×D1111yescharacteristic
488#41—216no—
489#41—28no—
490#41—228no—
491#41—228no—
492#41—448no—
493#41C2×C22⋊D11116yescomplemented
494C2×Q8—21no—
495C2×Q8—22no—
496C2×Q8—112no—
497C2×Q8—221no—
498C2×Q8—222no—
499C2×Q8—222no—
500C2×Q8C2×C22⋊D1114yes—
501C2×Q8C23×D1112yes—
502C2×D4—28no—
503C2×D4—24no—
504C2×D4—21no—
505C2×D4—24no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—24no—
509C2×D4—28no—
510C2×D4—24no—
511C2×D4—28no—
512C2×D4—44no—
513C2×D4—48no—
514C2×D4—112no—
515C2×D4—228no—
516C2×D4—228no—
517C2×D4—224no—
518C2×D4—221no—
519C2×D4—222no—
520C2×D4—222no—
521C2×D4—444no—
522C2×D4—884no—
523C2×D4—884no—
524C2×D4C2×C22⋊D1114yes—
525C2×D4C23×D1114yes—
526C2×D4C23×D1112yes—
527C22×C4—21no—
528C22×C4—28no—
529C22×C4—24no—
530C22×C4—112no—
531C22×C4—112no—
532C22×C4—228no—
533C22×C4—222no—
534C22×C4—221no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—444no—
538C22×C4—884no—
539C22×C4—882no—
540C22×C4D4×D1112yes—
541C22×C4D4×D1111yescharacteristic
542C22×C4#434114yes—
543C22×C4C2×C22⋊D1114yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1111yescharacteristic
546Q16—228no—
547SD16—216no—
548SD16—228no—
549SD16—228no—
550D8—216no—
551D8—228no—
552M16—28no—
553C2×C8—24no—
554C2×C8—112no—
555C2×C8—112no—
556C2×C8—222no—
557C2×C8—222no—
558C2×C8—228no—
559C2×C8C23×D1114yes—
560C4⋊C4—114no—
561C4⋊C4—114no—
562C4⋊C4—114no—
563C4⋊C4—228no—
564C4⋊C4—224no—
565C4⋊C4—222no—
566C22⋊C4—118no—
567C22⋊C4—228no—
568C22⋊C4—228no—
569C22⋊C4—228no—
570C42—114no—
571C42—114no—
572C42—228no—
573C11C2×#304511yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—42no—
580C23—42no—
581C23—44no—
582C23—44no—
583C23—48no—
584C23—44no—
585C23—84no—
586C23—84no—
587C23—816no—
588C23—222no—
589C23—442no—
590C23—442no—
591C23—442no—
592C23#6699214yes—
593C23C2×D4×D1112yes—
594C23C2×D4×D1111yescharacteristic
595Q8—24no—
596Q8—22no—
597Q8—222no—
598Q8—222no—
599Q8—442no—
600Q8C22×C22⋊D1114yes—
601D4—216no—
602D4—24no—
603D4—22no—
604D4—24no—
605D4—24no—
606D4—48no—
607D4—44no—
608D4—222no—
609D4—222no—
610D4—448no—
611D4—442no—
612D4—888no—
613D4—888no—
614D4C22×C22⋊D1114yes—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—216no—
618C2×C4—114no—
619C2×C4—114no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—222no—
624C2×C4—444no—
625C2×C4—442no—
626C2×C4—448no—
627C2×C4—888no—
628C2×C4—884no—
629C2×C4#6699214yes—
630C2×C4#6699218yes—
631C2×C4C2×D4×D1111yescharacteristic
632C2×C4C2×D4×D1112yes—
633C2×C4C2×#434112yes—
634C2×C4C2×#434114yes—
635C2×C4C22×C22⋊D1112yes—
636C2×C4C22×C22⋊D1114yes—
637C2×C4C24×D1111yescharacteristic
638C8—24no—
639C8—222no—
640C8—222no—
641C22—28no—
642C22—22no—
643C22—22no—
644C22—24no—
645C22—48no—
646C22—42no—
647C22—42no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—816no—
652C22—88no—
653C22—442no—
654C22—442no—
655C22—442no—
656C22—884no—
657C22#1062330512yes—
658C22#1062330612yes—
659C22C2×#6699214yes—
660C22C2×#6699212yes—
661C22C22×D4×D1111yescharacteristic
662C4—24no—
663C4—224no—
664C4—224no—
665C4—444no—
666C4—442no—
667C4C2×#6699214yes—
668C4C2×#6699212yes—
669C4C22×#434111yescharacteristic
670C4C23×C22⋊D1111yescharacteristic
671C2—24no—
672C2—44no—
673C2—84no—
674C2—882no—
675C2#1307815914yesdirect product factor
676C2C22×#6699211yescharacteristic
677C2C2×#1062330511yescharacteristic
678C2C2×#1062330611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×AGL(1,ℤ/8)C2
socleC23×C11C22×D4
hypercenterC22×AGL(1,ℤ/8)D11
hypocenterC11C2×#3045
LCSG ▷ C2×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. C22×#67003C2semidirect
2. C2×#10623336C2semidirect
3. C2×#10623358C2semidirect
4. #13078159C2direct (N × H)
5. C2×#10622779C2semidirect
6. C2×#10622776C2semidirect
7. C2×#10622766C2semidirect
8. C2×#10622763C2semidirect
9. C2×#10622732C2semidirect
10. C2×#10622746C2semidirect
11. C22×#66896C2semidirect
12. C22×C11×AGL(1,ℤ/8)C2semidirect
17. C2×C11×AGL(1,ℤ/8)C22semidirect
23. #10623358C22semidirect
25. C2×#67003C22semidirect
26. C2×Q8×Dic11C22semidirect
27. C22×#4326C22semidirect
28. C22×#4325C22semidirect
30. #10623336C22semidirect
36. C2×D4×Dic11C22semidirect
37. C22×#4324C22semidirect
38. C22×#4323C22semidirect
46. C2×#66896C22semidirect
47. #10622779C22semidirect
48. #10622776C22semidirect
49. #10622766C22semidirect
50. #10622763C22semidirect
51. #10622746C22semidirect
52. #10622732C22semidirect
53. C2×#66885C22semidirect
54. C2×#66880C22semidirect
55. C2×Dic11⋊C8C22semidirect
56. C2×Dic11⋊C8C22semidirect
60. C2×C11×#41D4semidirect
100. Q8×Dic11C23semidirect
102. C2×#4326C23semidirect
104. C2×#4325C23semidirect
113. D4×Dic11C23semidirect
115. C2×#4324C23semidirect
117. C2×#4323C23semidirect
137. #66885C23semidirect
138. #66880C23semidirect
139. Dic11⋊C8C23semidirect
140. Dic11⋊C8C23semidirect
152. C11×#41C2×D4semidirect
235. C22×AGL(1,ℤ/8)D11semidirect
318. C2×AGL(1,ℤ/8)C2×D11semidirect
395. C2×#41C22⋊D11semidirect
475. C2×C11#3045semidirect
493. #41C2×C22⋊D11semidirect
573. C11C2×#3045semidirect
675. C2#13078159direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670032
C2×#106233362
C2×#106233582
#130781592
C2×#106227792
C2×#106227762
C2×#106227662
C2×#106227632
C2×#106227322
C2×#106227462
C22×#668962
C22×C11×AGL(1,ℤ/8)2
C2×#304511