Finite Group Databasebeta

← #14677249

Subgroups — #14677249

Order 2816.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic11C211yesmaximal, characteristic, complemented
2C2×#10622834C211yesmaximal, characteristic, complemented
3C2×#10622834C211yesmaximal, characteristic, complemented
4C2×#10622834C211yesmaximal, characteristic, complemented
5C2×#10622833C214yesmaximal, complemented
6#13066857C214yesmaximal, complemented
7#13066846C211yesmaximal, characteristic, complemented
8C4×C11⋊#95C211yesmaximal, characteristic, complemented
9C22×C11×#127C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C23×D4×C11C2214yes—
12C23×D4×C11C2211yescharacteristic
13C24×Dic11C2212yes—
14C2×C11×#127—24no—
15C2×C11×#127—24no—
16C2×C11×#127C418yescomplemented
17C22×C42×C11C2211yescharacteristic
18C22×C22⋊Dic11C2212yes—
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2214yes—
21C22×C22⋊Dic11C2214yes—
22C22×C22⋊Dic11C2212yes—
23C2×D4×Dic11—24no—
24C2×D4×Dic11—24no—
25C2×D4×Dic11—24no—
26C22×C4⋊Dic11C2211yescharacteristic
27C22×C4⋊Dic11C2211yescharacteristic
28C22×C4×Dic11C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30#10622834—24no—
31#10622834—24no—
32#10622834—24no—
33#10622833—216no—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2214yes—
36C2×C11⋊#95C2212yes—
37C25×C11C2312yes—
38C25×C11C2312yes—
39C22×D4×C11—28no—
40C22×D4×C11—28no—
41C22×D4×C11—22no—
42C22×D4×C11—22no—
43C22×D4×C11—28no—
44C22×D4×C11—22no—
45C22×D4×C11—22no—
46C22×D4×C11—22no—
47C22×D4×C11—22no—
48C22×D4×C11—22no—
49C22×D4×C11—22no—
50C22×D4×C11—28no—
51C22×D4×C11—22no—
52C22×D4×C11—22no—
53C22×D4×C11—44no—
54C22×D4×C11—44no—
55C22×D4×C11C2×C414yes—
56C22×D4×C11C2×C414yescomplemented
57C22×D4×C11C2×C4116yescomplemented
58C22×D4×C11D414yes—
59C22×D4×C11D414yes—
60C23×C4×C11C2312yes—
61C23×C4×C11C2311yescharacteristic
62C23×Dic11—24no—
63C23×Dic11—24no—
64C23×Dic11—24no—
65C23×Dic11—28no—
66C23×Dic11—44no—
67C23×Dic11C2312yes—
68C23×Dic11C2311yescharacteristic
69C23×Dic11C2312yes—
70C23×Dic11C2312yes—
71C23×Dic11C2311yescharacteristic
72C11×#127—232no—
73C2×C42×C11—22no—
74C2×C42×C11—22no—
75C2×C42×C11C2×C414yescomplemented
76C2×C22⋊Dic11—24no—
77C2×C22⋊Dic11—24no—
78C2×C22⋊Dic11—24no—
79C2×C22⋊Dic11—28no—
80C2×C22⋊Dic11—28no—
81C2×C22⋊Dic11—28no—
82C2×C22⋊Dic11—28no—
83C2×C22⋊Dic11—28no—
84C2×C22⋊Dic11—24no—
85C2×C22⋊Dic11—24no—
86C2×C22⋊Dic11—44no—
87C2×C22⋊Dic11—44no—
88C2×C22⋊Dic11—44no—
89D4×Dic11—232no—
90C2×C4⋊Dic11—22no—
91C2×C4⋊Dic11—22no—
92C2×C4⋊Dic11—22no—
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11D414yescomplemented
96C2×C4×Dic11—22no—
97C2×C4×Dic11—22no—
98C2×C4×Dic11—22no—
99C2×C4×Dic11—22no—
100C2×C4×Dic11—22no—
101C2×C4×Dic11D414yescomplemented
102C11⋊#95—28no—
103C11⋊#95—24no—
104C11⋊#95D418yescomplemented
105#14025—111nomaximal, Sylow
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—24no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—24no—
112C24×C11—24no—
113C24×C11—24no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—24no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—24no—
122C24×C11—24no—
123C24×C11—24no—
124C24×C11C22×C414yes—
125C24×C11C22×C414yes—
126C24×C11C2×D414yes—
127C24×C11C2×D414yes—
128C24×C11C2411yescharacteristic
129C2×D4×C11—232no—
130C2×D4×C11—28no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—28no—
134C2×D4×C11—28no—
135C2×D4×C11—232no—
136C2×D4×C11—28no—
137C2×D4×C11—28no—
138C2×D4×C11—28no—
139C2×D4×C11—28no—
140C2×D4×C11—416no—
141C2×D4×C11—416no—
142C2×D4×C11—416no—
143C2×D4×C11—416no—
144C2×D4×C11—416no—
145C2×D4×C11—44no—
146C2×D4×C11—44no—
147C2×D4×C11—44no—
148C2×D4×C11—44no—
149C2×D4×C11C22⋊C4116yescomplemented
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11C22×C414yes—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2×D412yes—
160C22×C4×C11C2×D412yes—
161C22×C4×C11#4114yes—
162C22×C4×C11#4112yes—
163C22×C4×C11#4112yes—
164C22×Dic11—216no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—24no—
168C22×Dic11—21no—
169C22×Dic11—22no—
170C22×Dic11—21no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—24no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—416no—
188C22×Dic11—416no—
189C22×Dic11—48no—
190C22×Dic11—48no—
191C22×Dic11C2×D414yes—
192C22×Dic11C2×D412yes—
193C22×Dic11C2×D414yes—
194C22×Dic11C2×D414yes—
195C22×Dic11C2×D412yes—
196C42×C11—28no—
197C22⋊Dic11—216no—
198C22⋊Dic11—416no—
199C22⋊Dic11—416no—
200C22⋊Dic11—48no—
201C22⋊Dic11—48no—
202C4⋊Dic11—28no—
203C4⋊Dic11—44no—
204C4×Dic11—28no—
205C4×Dic11—44no—
206C22×#127D1111yescharacteristic
207C22×C4×D4—111no—
208C2×#390—111no—
209C2×#390—111no—
210C2×#390—111no—
211C2×#386—114no—
212#1438—114no—
213C4⋊#95—111no—
214C4×#95—111no—
215C23×C11—28no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—28no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—28no—
224C23×C11—28no—
225C23×C11—28no—
226C23×C11—28no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—28no—
230C23×C11—24no—
231C23×C11—28no—
232C23×C11—42no—
233C23×C11—44no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—44no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—44no—
241C23×C11—44no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—44no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—44no—
252C23×C11—44no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—44no—
256C23×C11—44no—
257C23×C11—44no—
258C23×C11—44no—
259C23×C11—44no—
260C23×C11C2×C22⋊C418yes—
261C23×C11C23×C411yescharacteristic
262C23×C11C22×D411yescharacteristic
263C23×C11C22×D411yescharacteristic
264C23×C11C22×D412yes—
265C23×C11C22×D411yescharacteristic
266C23×C11C22×D411yescharacteristic
267C23×C11C2×#4111yescharacteristic
268C23×C11C2×#4111yescharacteristic
269C23×C11C2×#4112yes—
270C23×C11H(5,𝔽2)12yes—
271C23×C11H(5,𝔽2)12yes—
272D4×C11—232no—
273D4×C11—464no—
274D4×C11—416no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11C2×C22⋊C414yes—
282C2×C4×C11C4×D414yes—
283C2×C4×C11C4×D414yes—
284C2×C4×C11C4×D418yescomplemented
285C2×C4×C11#12014yes—
286C2×C4×C11#12114yes—
287C2×C4×C11#12114yes—
288C2×C4×C11#12314yes—
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—22no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—28no—
301C2×Dic11—432no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—44no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—44no—
315C2×Dic11—44no—
316C2×Dic11#12714yescomplemented
317C23×D4C2×D1111yescharacteristic
318C23×D4C2×D1114yes—
319C23×D4C2×D1111yescharacteristic
320C24×C4—112no—
321C2×#127—24no—
322C2×#127—24no—
323C2×#127Dic1118yescomplemented
324C2×C4×D4—224no—
325C2×C4×D4—224no—
326C2×C4×D4—224no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4—111no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—114no—
332C22×C22⋊C4—114no—
333C22×C22⋊C4—112no—
334C22×C42—111no—
335C22×C42—111no—
336C22×C42C2×D1111yescharacteristic
337#390—224no—
338#390—224no—
339#390—224no—
340#386—2216no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—114no—
344C22×C11—216no—
345C22×C11—28no—
346C22×C11—44no—
347C22×C11—44no—
348C22×C11—48no—
349C22×C11—48no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—48no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—48no—
358C22×C11—48no—
359C22×C11—44no—
360C22×C11—84no—
361C22×C11—82no—
362C22×C11—82no—
363C22×C11—84no—
364C22×C11—82no—
365C22×C11—82no—
366C22×C11C22×C22⋊C411yescharacteristic
367C22×C11C2×C4×D411yescharacteristic
368C22×C11C2×C4×D412yes—
369C22×C11C2×C4×D411yescharacteristic
370C22×C11#51812yes—
371C22×C11C2×#12011yescharacteristic
372C22×C11C2×#12111yescharacteristic
373C22×C11C2×#12111yescharacteristic
374C22×C11C2×#12311yescharacteristic
375C22×C11C2×#12711yescharacteristic
376C22×C11#53212yes—
377C22×C11#53211yescharacteristic
378C22×C11#53511yescharacteristic
379C22×C11#53511yescharacteristic
380C22×C11#54012yes—
381C22×C11D4212yes—
382C22×C11D4212yes—
383C22×C11D4212yes—
384C22×C11#54612yes—
385C22×C11#54612yes—
386C22×C11#55012yes—
387C22×C11#55012yes—
388C22×C11#55912yes—
389C4×C11—28no—
390C4×C11#38618yescomplemented
391Dic11—24no—
392Dic11—44no—
393Dic11—42no—
394Dic11—44no—
395Dic11—82no—
396C25C22×D1112yes—
397C25C22×D1112yes—
398C22×D4—28no—
399C22×D4—28no—
400C22×D4—22no—
401C22×D4—22no—
402C22×D4—28no—
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—28no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—44no—
413C22×D4—44no—
414C22×D4C2×Dic1114yes—
415C22×D4C2×Dic1114yescomplemented
416C22×D4C2×Dic11116yescomplemented
417C22×D4C22⋊D1114yes—
418C22×D4C22⋊D1114yes—
419C23×C4—111no—
420C23×C4—112no—
421C23×C4—111no—
422C23×C4—112no—
423C23×C4—112no—
424C23×C4—224no—
425C23×C4—224no—
426C23×C4—228no—
427C23×C4—224no—
428C23×C4—444no—
429C23×C4C22×D1112yes—
430C23×C4C22×D1111yescharacteristic
431#127—232no—
432C4×D4—2232no—
433C2×C4⋊C4—114no—
434C2×C4⋊C4—222no—
435C2×C4⋊C4—222no—
436C2×C4⋊C4—222no—
437C2×C4⋊C4—222no—
438C2×C4⋊C4—222no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—228no—
444C2×C22⋊C4—228no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—228no—
449C2×C22⋊C4—444no—
450C2×C22⋊C4—444no—
451C2×C22⋊C4—444no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—114no—
455C2×C42—222no—
456C2×C42—222no—
457C2×C42—222no—
458C2×C42—222no—
459C2×C42—222no—
460C2×C42C2×Dic1114yescomplemented
461#95—118no—
462#95—228no—
463#95—224no—
464C2×C11—48no—
465C2×C11—84no—
466C2×C11C2×#38611yescharacteristic
467C2×C11C4×#12711yescharacteristic
468C2×C11#232811yescharacteristic
469C2×C11D4×C22⋊C412yes—
470C2×C11#236612yes—
471C2×C11#242812yes—
472C2×C11#243111yescharacteristic
473C2×C11#243311yescharacteristic
474C2×C11#244512yes—
475C2×C11#254111yescharacteristic
476C2×C11#254411yescharacteristic
477C24—22no—
478C24—22no—
479C24—24no—
480C24—22no—
481C24—22no—
482C24—24no—
483C24—24no—
484C24—24no—
485C24—22no—
486C24—24no—
487C24—22no—
488C24—22no—
489C24—24no—
490C24—22no—
491C24—24no—
492C24—24no—
493C24—22no—
494C24—22no—
495C24C22×Dic1114yes—
496C24C22×Dic1114yes—
497C24C2×C22⋊D1114yes—
498C24C2×C22⋊D1114yes—
499C24C23×D1111yescharacteristic
500C2×D4—232no—
501C2×D4—28no—
502C2×D4—28no—
503C2×D4—28no—
504C2×D4—28no—
505C2×D4—232no—
506C2×D4—28no—
507C2×D4—28no—
508C2×D4—28no—
509C2×D4—28no—
510C2×D4—28no—
511C2×D4—416no—
512C2×D4—416no—
513C2×D4—416no—
514C2×D4—416no—
515C2×D4—416no—
516C2×D4—44no—
517C2×D4—44no—
518C2×D4—44no—
519C2×D4—44no—
520C2×D4C22⋊Dic11116yescomplemented
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—114no—
526C22×C4—112no—
527C22×C4—114no—
528C22×C4—112no—
529C22×C4—114no—
530C22×C4—221no—
531C22×C4—222no—
532C22×C4—221no—
533C22×C4—2216no—
534C22×C4—224no—
535C22×C4—222no—
536C22×C4—221no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—224no—
545C22×C4—221no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—224no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—224no—
552C22×C4—222no—
553C22×C4—448no—
554C22×C4—4416no—
555C22×C4—4416no—
556C22×C4—448no—
557C22×C4D4×D1114yes—
558C22×C4D4×D1112yes—
559C22×C4D4×D1112yes—
560C22×C4#434114yes—
561C22×C4#434112yes—
562C22×C4#434112yes—
563C22×C4C22×Dic1114yes—
564C22×C4C22×Dic1112yes—
565C22×C4C2×C22⋊D1112yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—228no—
568C4⋊C4—444no—
569C22⋊C4—2216no—
570C22⋊C4—448no—
571C22⋊C4—4416no—
572C22⋊C4—4416no—
573C22⋊C4—448no—
574C42—28no—
575C42—228no—
576C42—444no—
577C11#1402511yescharacteristic, complemented, Sylow
578C23—28no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—28no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—24no—
587C23—24no—
588C23—28no—
589C23—28no—
590C23—24no—
591C23—28no—
592C23—24no—
593C23—28no—
594C23—24no—
595C23—44no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—42no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—44no—
619C23—42no—
620C23—42no—
621C23—44no—
622C23—44no—
623C23C2×C22⋊Dic1118yes—
624C23C2×D4×D1111yescharacteristic
625C23C2×D4×D1112yes—
626C23C2×D4×D1111yescharacteristic
627C23C2×#434111yescharacteristic
628C23C2×#434112yes—
629C23C2×#434111yescharacteristic
630C23#6703712yes—
631C23#6703712yes—
632C23C23×Dic1111yescharacteristic
633C23C22×C22⋊D1111yescharacteristic
634C23C22×C22⋊D1111yescharacteristic
635D4—232no—
636D4—464no—
637D4—416no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—114no—
645C2×C4—222no—
646C2×C4—224no—
647C2×C4—222no—
648C2×C4—224no—
649C2×C4—222no—
650C2×C4—224no—
651C2×C4—222no—
652C2×C4—224no—
653C2×C4—228no—
654C2×C4—222no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—4432no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—444no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—444no—
670C2×C4—444no—
671C2×C4—442no—
672C2×C4D4×Dic1114yes—
673C2×C4D4×Dic1114yes—
674C2×C4D4×Dic1118yescomplemented
675C2×C4#6698814yes—
676C2×C4#6699014yes—
677C2×C4#6699214yes—
678C2×C4#6699214yes—
679C2×C4C2×C22⋊Dic1114yes—
680C22—216no—
681C22—28no—
682C22—48no—
683C22—44no—
684C22—48no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—48no—
691C22—48no—
692C22—44no—
693C22—48no—
694C22—44no—
695C22—44no—
696C22—84no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—84no—
702C22#1062324412yes—
703C22D11×#12711yescharacteristic
704C22#1062324611yescharacteristic
705C22#1062324611yescharacteristic
706C22#1062324712yes—
707C22#1062324711yescharacteristic
708C22#1062324812yes—
709C22#1062324912yes—
710C22#1062324912yes—
711C22#1062325012yes—
712C22C2×D4×Dic1111yescharacteristic
713C22C2×D4×Dic1112yes—
714C22C2×D4×Dic1111yescharacteristic
715C22C2×#6698811yescharacteristic
716C22#1062332912yes—
717C22C2×#6699011yescharacteristic
718C22D4×C22⋊D1112yes—
719C22D4×C22⋊D1112yes—
720C22C2×#6699211yescharacteristic
721C22C2×#6699211yescharacteristic
722C22#1062333712yes—
723C22#1062333712yes—
724C22C22×C22⋊Dic1111yescharacteristic
725C4—28no—
726C4—224no—
727C4—444no—
728C4—442no—
729C4—444no—
730C4—882no—
731C4#1062283318yescomplemented
732C2—48no—
733C2—84no—
734C2C2×#1062283311yescharacteristic
735C2#127×Dic1111yescharacteristic
736C2#1307134211yescharacteristic
737C2D4×C22⋊Dic1112yes—
738C2#1307168112yes—
739C2#1307220712yes—
740C2#1307223211yescharacteristic
741C2#1307225011yescharacteristic
742C2#1307237712yes—
743C2#1307356011yescharacteristic
744C2#1307358411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
Fitting, prime radicalC22×C11×#127C2
socle, cosocleC24×C11C24
hypercenterC22×#127D11
hypocenterC11#14025
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#127

Complements

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

NH ≅ G/Ntype
1. C22×D4×Dic11C2semidirect
2. C2×#10622834C2semidirect
3. C2×#10622834C2semidirect
4. C2×#10622834C2semidirect
5. C2×#10622833C2semidirect
6. #13066857C2semidirect
7. #13066846C2semidirect
8. C4×C11⋊#95C2semidirect
16. C2×C11×#127C4semidirect
56. C22×D4×C11C2×C4semidirect
57. C22×D4×C11C2×C4semidirect
75. C2×C42×C11C2×C4semidirect
95. C2×C4⋊Dic11D4semidirect
101. C2×C4×Dic11D4semidirect
104. C11⋊#95D4semidirect
149. C2×D4×C11C22⋊C4semidirect
284. C2×C4×C11C4×D4semidirect
316. C2×Dic11#127semidirect
323. C2×#127Dic11semidirect
390. C4×C11#386semidirect
415. C22×D4C2×Dic11semidirect
416. C22×D4C2×Dic11semidirect
460. C2×C42C2×Dic11semidirect
520. C2×D4C22⋊Dic11semidirect
577. C11#14025semidirect
674. C2×C4D4×Dic11semidirect
731. C4#10622833semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic112
C2×#106228342
C2×#106228332
#130668572
#130668462
C4×C11⋊#952
C22×C11×#1272
#1402511