Finite Group Databasebeta

← #14755291

Subgroups — #14755291

Order 2816.

1778 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623358C211yesmaximal, characteristic, complemented
2C2×#10622849C211yesmaximal, characteristic, complemented
3#13077135C211yesmaximal, characteristic, complemented
4#13071208C211yesmaximal, characteristic, complemented
5#13068994C214yesmaximal, complemented
6#13068987C214yesmaximal, complemented
7C2×#10622192C211yesmaximal, characteristic, complemented
8#13068327C211yesmaximal, characteristic, complemented
9C2×C11×#575C211yesmaximal, characteristic
10C22×C11×#41C2211yescharacteristic
11C22×C11×#41C2211yescharacteristic
12C11×#575—24no—
13C11×#575C418yescomplemented
14C2×C11×#137—21no—
15C2×C11×#137C2212yes—
16C2×C11×AGL(1,ℤ/8)—21no—
17C2×C11×AGL(1,ℤ/8)C2212yes—
18C2×C11×#135—22no—
19C22×C11×M16C2211yescharacteristic
20#10623358—22no—
21#10623358—22no—
22#10623358—22no—
23#10623358C2214yes—
24C2×Q8×Dic11—21no—
25C2×D4×Dic11—21no—
26C2×D4×Dic11—22no—
27C2×#66979—21no—
28C2×#66979C2211yescharacteristic
29C2×#66979C2211yescharacteristic
30C22×C4⋊Dic11—21no—
31C22×C4⋊Dic11C2211yescharacteristic
32C22×#4318C2211yescharacteristic
33#10622849—24no—
34C2×#66901C2214yes—
35#10622846—22no—
36#10622845—21no—
37#10622845—21no—
38#10622843C2212yescomplemented
39#10622838C2212yescomplemented
40#10622834C2212yescomplemented
41#10622833—22no—
42#10622828C2212yescomplemented
43#10622825—22no—
44#10622193C2214yescomplemented
45#10622192C2214yescomplemented
46C2×C11×#41—21no—
47C2×C11×#41—21no—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—21no—
52C2×C11×#41—21no—
53C2×C11×#41—21no—
54C2×C11×#41—21no—
55C2×C11×#41—22no—
56C2×C11×#41—22no—
57C2×C11×#41C2×C414yes—
58C2×C11×#41C2×C414yescomplemented
59C2×C11×#41D414yes—
60C2×C11×#41D412yes—
61C2×C11×#41C2312yes—
62C22×Q8×C11D411yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11D411yescharacteristic
67C22×D4×C11C2311yescharacteristic
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C23×C4×C11C2311yescharacteristic
71C23×Dic11—22no—
72C23×Dic11D412yes—
73C11×#137—24no—
74C11×#137—28no—
75C11×#137C2×C418yescomplemented
76C11×AGL(1,ℤ/8)—24no—
77C11×AGL(1,ℤ/8)—28no—
78C11×AGL(1,ℤ/8)C2×C418yescomplemented
79C11×#135—216no—
80C2×C11×Q16—22no—
81C2×C11×SD16—22no—
82C2×C11×SD16—22no—
83C2×C11×D8—22no—
84C2×C11×M16—21no—
85C2×C11×M16—22no—
86C2×C11×M16C2×C414yescomplemented
87C2×C11×M16C2312yes—
88C22×C8×C11—21no—
89C2×C22⋊Dic11—22no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—24no—
93Q8×Dic11—24no—
94Q8×Dic11—24no—
95D4×Dic11—28no—
96D4×Dic11—24no—
97D4×Dic11—24no—
98D4×Dic11—28no—
99#66979—24no—
100#66979—21no—
101#66979—21no—
102#66979—24no—
103#66979—22no—
104#66979—22no—
105#66979D412yes—
106#66979C2312yes—
107C2×C4⋊Dic11—22no—
108C2×C4⋊Dic11—24no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—24no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11D412yes—
116C2×C4⋊Dic11D411yescharacteristic
117C2×C4⋊Dic11D411yescharacteristic
118C2×C4⋊Dic11C2312yes—
119C2×C4×Dic11—22no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11C2312yes—
122C2×#4318—21no—
123C2×#4318—22no—
124C2×#4318—22no—
125C2×#4318C2312yes—
126C22×C11⋊C8—21no—
127#66901—28no—
128#66899—22no—
129#66899—22no—
130#66896—22no—
131#66896—22no—
132C11⋊#95—24no—
133#20943—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11—21no—
136C24×C11C2×D411yescharacteristic
137C11×#41—24no—
138C11×#41—24no—
139C11×#41—24no—
140C11×#41—24no—
141C11×#41—24no—
142C11×#41—22no—
143C11×#41—22no—
144C11×#41—24no—
145C11×#41—24no—
146C11×#41—24no—
147C11×#41—24no—
148C11×#41—42no—
149C11×#41—42no—
150C11×#41—42no—
151C11×#41—42no—
152C11×#41C22⋊C418yescomplemented
153C11×#41C22×C414yes—
154C11×#41C2×D414yes—
155C2×Q8×C11—21no—
156C2×Q8×C11—22no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11C22⋊C414yescomplemented
163C2×Q8×C11C22×C412yescomplemented
164C2×Q8×C11C2×D412yes—
165C2×D4×C11—24no—
166C2×D4×C11—22no—
167C2×D4×C11—24no—
168C2×D4×C11—22no—
169C2×D4×C11—24no—
170C2×D4×C11—21no—
171C2×D4×C11—22no—
172C2×D4×C11—21no—
173C2×D4×C11—21no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11—41no—
178C2×D4×C11—41no—
179C2×D4×C11—42no—
180C2×D4×C11C22⋊C414yescomplemented
181C2×D4×C11C22×C412yescomplemented
182C2×D4×C11C2×D412yes—
183C22×C4×C11—21no—
184C22×C4×C11—24no—
185C22×C4×C11—22no—
186C22×C4×C11—24no—
187C22×C4×C11—22no—
188C22×C4×C11—21no—
189C22×C4×C11—24no—
190C22×C4×C11—41no—
191C22×C4×C11—41no—
192C22×C4×C11—42no—
193C22×C4×C11C22×C412yes—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D412yes—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11#4112yes—
201C22×C4×C11#4112yes—
202C22×C4×C11C2411yescharacteristic
203C22×Dic11—28no—
204C22×Dic11—21no—
205C22×Dic11—22no—
206C22×Dic11—21no—
207C22×Dic11—22no—
208C22×Dic11—22no—
209C22×Dic11—82no—
210C22×Dic11—84no—
211C22×Dic11C2×D414yes—
212C11×Q16—28no—
213C11×SD16—28no—
214C11×SD16—28no—
215C11×D8—28no—
216C11×M16—24no—
217C11×M16—22no—
218C11×M16C22×C414yescomplemented
219C2×C8×C11—24no—
220C2×C8×C11—22no—
221C22⋊Dic11—28no—
222C22⋊Dic11—22no—
223C22⋊Dic11—22no—
224C22⋊Dic11—42no—
225C22⋊Dic11—84no—
226C4⋊Dic11—28no—
227C4⋊Dic11—22no—
228C4⋊Dic11—21no—
229C4⋊Dic11—22no—
230C4⋊Dic11—21no—
231C4⋊Dic11—22no—
232C4⋊Dic11—22no—
233C4⋊Dic11—42no—
234C4⋊Dic11C2×D412yes—
235C4⋊Dic11C2×D412yes—
236C4×Dic11—28no—
237C4×Dic11—22no—
238C4×Dic11—22no—
239C4×Dic11—22no—
240C4×Dic11—22no—
241#4318—22no—
242#4318—22no—
243#4318—42no—
244C2×C11⋊C8—22no—
245C2×C11⋊C8—42no—
246C2×#575D1111yescharacteristic
247C2×#520—111no—
248C2×#421—111no—
249#2896—111no—
250#2311—111no—
251#1883—114no—
252#1882—114no—
253C2×#343—111no—
254#1733—111no—
255C23×C11—22no—
256C23×C11—24no—
257C23×C11—22no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11C4×D412yes—
267C23×C11#12011yescharacteristic
268C23×C11#12011yescharacteristic
269C23×C11#12112yes—
270C23×C11C22×D411yescharacteristic
271Q8×C11—22no—
272Q8×C11—24no—
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—41no—
276Q8×C11—41no—
277Q8×C11C2×C22⋊C414yes—
278D4×C11—24no—
279D4×C11—24no—
280D4×C11—28no—
281D4×C11—22no—
282D4×C11—22no—
283D4×C11—22no—
284D4×C11—24no—
285D4×C11—44no—
286D4×C11—44no—
287D4×C11—41no—
288D4×C11—41no—
289D4×C11C2×C22⋊C414yes—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—28no—
295C2×C4×C11—22no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—44no—
299C2×C4×C11—44no—
300C2×C4×C11C2×C22⋊C412yes—
301C2×C4×C11C2×C22⋊C412yes—
302C2×C4×C11C4×D412yes—
303C2×C4×C11C4×D412yes—
304C2×C4×C11C4×D412yes—
305C2×C4×C11#12011yescharacteristic
306C2×C4×C11#12011yescharacteristic
307C2×C4×C11#12112yes—
308C2×C4×C11#12112yes—
309C2×C4×C11#12112yes—
310C2×C4×C11#12312yes—
311C2×C4×C11#12312yes—
312C2×C4×C11C23×C411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C22×D411yescharacteristic
316C2×C4×C11C2×#4111yescharacteristic
317C2×C4×C11C2×#4111yescharacteristic
318C2×Dic11—22no—
319C2×Dic11—24no—
320C2×Dic11—22no—
321C2×Dic11—42no—
322C2×Dic11—44no—
323C2×Dic11—42no—
324C2×Dic11—44no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C2×Dic11—82no—
329C2×Dic11—88no—
330C8×C11—24no—
331C11⋊C8—42no—
332C22×#41C2×D1111yescharacteristic
333C22×#41C2×D1111yescharacteristic
334#575—24no—
335#575Dic1118yescomplemented
336C2×#137—21no—
337C2×#137C2×D1112yes—
338C2×AGL(1,ℤ/8)—21no—
339C2×AGL(1,ℤ/8)C2×D1112yes—
340C2×#135—22no—
341C22×M16—111no—
342C22×M16C2×D1111yescharacteristic
343#520—114no—
344#520—222no—
345#520—222no—
346#520—222no—
347C2×C4×Q8—221no—
348C2×C4×D4—222no—
349C2×C4×D4—221no—
350C2×#117—111no—
351C2×#117—111no—
352C2×#117—221no—
353C22×C4⋊C4—111no—
354C22×C4⋊C4—221no—
355#421—224no—
356C2×#104—114no—
357#419—112no—
358#418—112no—
359#417—221no—
360#417—221no—
361#416—222no—
362#391—112no—
363#390—112no—
364#386—222no—
365#380—222no—
366#343—114no—
367#339—114no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—21no—
374C22×C11—24no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—48no—
378C22×C11—44no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—82no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11#38612yes—
386C22×C11#38612yes—
387C22×C11C2×C4×D411yescharacteristic
388C22×C11C2×#12011yescharacteristic
389C22×C11C2×#12111yescharacteristic
390C4×C11—24no—
391C4×C11—42no—
392C4×C11#38612yes—
393C4×C11#38612yes—
394C4×C11C22×C22⋊C411yescharacteristic
395C4×C11C2×C4×D411yescharacteristic
396C4×C11C2×#12111yescharacteristic
397C4×C11C2×#12311yescharacteristic
398Dic11—44no—
399Dic11—42no—
400Dic11—42no—
401Dic11—82no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—22no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—22no—
413C2×#41C2×Dic1114yes—
414C2×#41C2×Dic1114yescomplemented
415C2×#41C22⋊D1114yes—
416C2×#41C22⋊D1112yes—
417C2×#41C22×D1112yes—
418C22×Q8C22⋊D1111yescharacteristic
419C22×Q8C22×D1111yescharacteristic
420C22×D4—21no—
421C22×D4—21no—
422C22×D4C22⋊D1111yescharacteristic
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—112no—
427C23×C4—222no—
428C23×C4C22×D1111yescharacteristic
429#137—24no—
430#137—28no—
431#137C2×Dic1118yescomplemented
432AGL(1,ℤ/8)—24no—
433AGL(1,ℤ/8)—28no—
434AGL(1,ℤ/8)C2×Dic1118yescomplemented
435#135—216no—
436C2×Q16—22no—
437C2×SD16—22no—
438C2×SD16—22no—
439C2×D8—22no—
440C2×M16—21no—
441C2×M16—22no—
442C2×M16—112no—
443C2×M16—221no—
444C2×M16—222no—
445C2×M16—222no—
446C2×M16C2×Dic1114yescomplemented
447C2×M16C22×D1112yes—
448C22×C8—21no—
449C22×C8—221no—
450C4×Q8—224no—
451C4×Q8—224no—
452C4×D4—228no—
453C4×D4—228no—
454C4×D4—224no—
455C4×D4—224no—
456#117—112no—
457#117—112no—
458#117—224no—
459#117—224no—
460#117—221no—
461#117—221no—
462#117—222no—
463#117—222no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—112no—
468C2×C4⋊C4—224no—
469C2×C4⋊C4—222no—
470C2×C4⋊C4—224no—
471C2×C4⋊C4—221no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4—221no—
474C2×C4⋊C4—221no—
475C2×C4⋊C4—221no—
476C2×C22⋊C4—222no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—224no—
480C2×C42—112no—
481C2×C42—222no—
482C2×C42—221no—
483#104—228no—
484#103—222no—
485#103—222no—
486#102—222no—
487#102—222no—
488#95—224no—
489C2×C11—21no—
490C2×C11—21no—
491C2×C11—22no—
492C2×C11—22no—
493C2×C11—44no—
494C2×C11—82no—
495C2×C11C2×#38611yescharacteristic
496C2×C11#301911yescharacteristic
497C2×C11#302011yescharacteristic
498C24—21no—
499C24—21no—
500C24D4×D1111yescharacteristic
501#41—24no—
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—22no—
507#41—22no—
508#41—24no—
509#41—24no—
510#41—24no—
511#41—24no—
512#41—42no—
513#41—42no—
514#41—42no—
515#41—42no—
516#41C22⋊Dic1118yescomplemented
517#41C22×Dic1114yes—
518#41C2×C22⋊D1114yes—
519C2×Q8—22no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8C22⋊Dic1114yescomplemented
527C2×Q8C22×Dic1112yescomplemented
528C2×Q8C2×C22⋊D1112yes—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—24no—
532C2×D4—22no—
533C2×D4—24no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—41no—
542C2×D4—41no—
543C2×D4—42no—
544C2×D4C22⋊Dic1114yescomplemented
545C2×D4C22×Dic1112yescomplemented
546C2×D4C2×C22⋊D1112yes—
547C22×C4—21no—
548C22×C4—24no—
549C22×C4—22no—
550C22×C4—24no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—24no—
554C22×C4—41no—
555C22×C4—41no—
556C22×C4—42no—
557C22×C4—114no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—222no—
561C22×C4—228no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—882no—
565C22×C4—884no—
566C22×C4D4×D1111yescharacteristic
567C22×C4D4×D1111yescharacteristic
568C22×C4D4×D1111yescharacteristic
569C22×C4#434112yes—
570C22×C4#434112yes—
571C22×C4C22×Dic1112yes—
572C22×C4C2×C22⋊D1111yescharacteristic
573C22×C4C2×C22⋊D1111yescharacteristic
574C22×C4C2×C22⋊D1112yes—
575C22×C4C23×D1111yescharacteristic
576Q16—28no—
577SD16—28no—
578SD16—28no—
579D8—28no—
580M16—24no—
581M16—22no—
582M16—222no—
583M16—222no—
584M16—442no—
585M16C22×Dic1114yescomplemented
586C2×C8—24no—
587C2×C8—22no—
588C2×C8—222no—
589C2×C8—442no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—228no—
593C4⋊C4—221no—
594C4⋊C4—222no—
595C4⋊C4—222no—
596C4⋊C4—221no—
597C4⋊C4—222no—
598C4⋊C4—222no—
599C4⋊C4—442no—
600C22⋊C4—228no—
601C22⋊C4—222no—
602C22⋊C4—222no—
603C22⋊C4—442no—
604C22⋊C4—884no—
605C42—228no—
606C42—222no—
607C42—222no—
608C42—222no—
609C42—222no—
610C11#2094311yescharacteristic, complemented, Sylow
611C23—22no—
612C23—24no—
613C23—22no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23—41no—
622C23D4×Dic1112yes—
623C23#6699011yescharacteristic
624C23#6699011yescharacteristic
625C23#6699212yes—
626C23C2×D4×D1111yescharacteristic
627Q8—22no—
628Q8—24no—
629Q8—22no—
630Q8—22no—
631Q8—41no—
632Q8—41no—
633Q8C2×C22⋊Dic1114yes—
634D4—24no—
635D4—24no—
636D4—28no—
637D4—22no—
638D4—22no—
639D4—24no—
640D4—22no—
641D4—44no—
642D4—44no—
643D4—41no—
644D4—41no—
645D4C2×C22⋊Dic1114yes—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—444no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—444no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—882no—
667C2×C4—888no—
668C2×C4D4×Dic1112yes—
669C2×C4D4×Dic1112yes—
670C2×C4D4×Dic1112yes—
671C2×C4#6698812yes—
672C2×C4#6698812yes—
673C2×C4#6699011yescharacteristic
674C2×C4#6699011yescharacteristic
675C2×C4#6699212yes—
676C2×C4#6699212yes—
677C2×C4#6699212yes—
678C2×C4C2×C22⋊Dic1112yes—
679C2×C4C2×C22⋊Dic1112yes—
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C2×#434111yescharacteristic
682C2×C4C2×#434111yescharacteristic
683C2×C4C23×Dic1111yescharacteristic
684C2×C4C22×C22⋊D1111yescharacteristic
685C2×C4C22×C22⋊D1111yescharacteristic
686C8—24no—
687C8—442no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22—44no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—82no—
703C22—81no—
704C22—81no—
705C22#1062283312yes—
706C22#1062283312yes—
707C22C2×D4×Dic1111yescharacteristic
708C22C2×#6699011yescharacteristic
709C22C2×#6699211yescharacteristic
710C4—24no—
711C4—42no—
712C4—444no—
713C4—442no—
714C4—442no—
715C4—882no—
716C4#1062283312yes—
717C4#1062283312yes—
718C4C2×D4×Dic1111yescharacteristic
719C4C2×#6698811yescharacteristic
720C4C2×#6699211yescharacteristic
721C4C22×C22⋊Dic1111yescharacteristic
722C2—21no—
723C2—21no—
724C2—22no—
725C2—22no—
726C2—44no—
727C2—82no—
728C2C2×#1062283311yescharacteristic
729C2#1307797111yescharacteristic
730C2#1307797811yescharacteristic
subgroupG/H
centerC22C2×#66990
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC2×C11×#575C2
socleC22×C11C2×#120
cosocleC22×C4×C11C24
hypercenterC2×#575D11
hypocenterC11#20943
LCSG ▷ C2×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×#10623358C2semidirect
2. C2×#10622849C2semidirect
3. #13077135C2semidirect
4. #13071208C2semidirect
5. #13068994C2semidirect
6. #13068987C2semidirect
7. C2×#10622192C2semidirect
8. #13068327C2semidirect
13. C11×#575C4semidirect
38. #10622843C22semidirect
39. #10622838C22semidirect
40. #10622834C22semidirect
42. #10622828C22semidirect
44. #10622193C22semidirect
45. #10622192C22semidirect
58. C2×C11×#41C2×C4semidirect
75. C11×#137C2×C4semidirect
78. C11×AGL(1,ℤ/8)C2×C4semidirect
86. C2×C11×M16C2×C4semidirect
152. C11×#41C22⋊C4semidirect
162. C2×Q8×C11C22⋊C4semidirect
163. C2×Q8×C11C22×C4semidirect
180. C2×D4×C11C22⋊C4semidirect
181. C2×D4×C11C22×C4semidirect
218. C11×M16C22×C4semidirect
335. #575Dic11semidirect
414. C2×#41C2×Dic11semidirect
431. #137C2×Dic11semidirect
434. AGL(1,ℤ/8)C2×Dic11semidirect
446. C2×M16C2×Dic11semidirect
516. #41C22⋊Dic11semidirect
526. C2×Q8C22⋊Dic11semidirect
527. C2×Q8C22×Dic11semidirect
544. C2×D4C22⋊Dic11semidirect
545. C2×D4C22×Dic11semidirect
585. M16C22×Dic11semidirect
610. C11#20943semidirect

Maximal subgroups

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

subgroupindex
C2×#106233582
C2×#106228492
#130771352
#130712082
#130689942
#130689872
C2×#106221922
#130683272
C2×C11×#5752
#2094311