Finite Group Databasebeta

← #14677250

Subgroups — #14677250

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×#66993C211yesmaximal, characteristic
2C22×D4×Dic11C211yesmaximal, characteristic, complemented
3C2×#10622552C211yesmaximal, characteristic, complemented
4C2×#10622601C211yesmaximal, characteristic, complemented
5C2×#10622571C214yesmaximal, complemented
6#13066855C214yesmaximal, complemented
7#13066845C211yesmaximal, characteristic, complemented
8C4×C11⋊#95C211yesmaximal, characteristic, complemented
9C2×C11×#390C211yesmaximal, characteristic, complemented
10C23×D4×C11C2211yescharacteristic
11C23×C22⋊D11C2214yes—
12C24×Dic11C2212yes—
13C23×D44C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4C2214yes—
16C22×C42×C11C2211yescharacteristic
17C22×C22⋊Dic11C2212yes—
18C2×#66993—24no—
19C2×#66993—24no—
20C2×#66993C418yescomplemented
21C2×D4×Dic11—24no—
22C2×D4×Dic11—24no—
23C2×D4×Dic11—24no—
24C22×(C2×D11)⋊C4C2212yes—
25C22×(C2×D11)⋊C4C2214yes—
26C22×(C2×D11)⋊C4C2212yes—
27C22×C4⋊Dic11C2211yescharacteristic
28C22×C4×Dic11C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30C11×#390—24no—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2214yes—
33C2×C11⋊#95C2212yes—
34#10622601—24no—
35#10622571—216no—
36#10622552—24no—
37C25×C11C2312yes—
38C24×D11C2312yes—
39C22×D4×C11—22no—
40C22×D4×C11—22no—
41C22×D4×C11—22no—
42C22×D4×C11—22no—
43C22×D4×C11C2×C414yes—
44C22×D4×C11D414yes—
45C22×D4×C11D414yes—
46C23×C4×C11C2312yes—
47C23×C4×C11C2312yes—
48C23×C4×C11C2311yescharacteristic
49C22×C22⋊D11—28no—
50C22×C22⋊D11—28no—
51C22×C22⋊D11—28no—
52C22×C22⋊D11—28no—
53C22×C22⋊D11—44no—
54C22×C22⋊D11—44no—
55C22×C22⋊D11C2×C4116yescomplemented
56C23×Dic11—24no—
57C23×Dic11—24no—
58C23×Dic11—24no—
59C23×Dic11—28no—
60C23×Dic11—44no—
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2312yes—
63C23×Dic11C2312yes—
64C23×Dic11C2311yescharacteristic
65C22×D44—22no—
66C22×D44—22no—
67C22×D44—22no—
68C22×D44—22no—
69C22×D44—22no—
70C22×D44—22no—
71C22×D44C2×C414yescomplemented
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—22no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C22⋊C4—28no—
76C2×C11×C22⋊C4—28no—
77C2×C11×C22⋊C4—44no—
78C2×C42×C11—22no—
79C2×C42×C11—22no—
80C2×C42×C11—22no—
81C2×C22⋊Dic11—24no—
82C2×C22⋊Dic11—24no—
83C2×C22⋊Dic11—24no—
84#66993—232no—
85D4×Dic11—232no—
86C2×(C2×D11)⋊C4—28no—
87C2×(C2×D11)⋊C4—28no—
88C2×(C2×D11)⋊C4—28no—
89C2×(C2×D11)⋊C4—24no—
90C2×(C2×D11)⋊C4—24no—
91C2×(C2×D11)⋊C4—44no—
92C2×(C2×D11)⋊C4—44no—
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×Dic11C2×C414yescomplemented
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—24no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—24no—
113C24×C11—24no—
114C24×C11C22×C414yes—
115C24×C11C2×D414yes—
116C24×C11C2×D414yes—
117C24×C11C2411yescharacteristic
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—24no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—24no—
126C23×D11—24no—
127C23×D11—24no—
128C23×D11C22×C414yes—
129C2×D4×C11—28no—
130C2×D4×C11—28no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—28no—
134C2×D4×C11—28no—
135C2×D4×C11C22⋊C4116yescomplemented
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—24no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—24no—
147C22×C4×C11C22×C412yes—
148C22×C4×C11C2×D414yes—
149C22×C4×C11C2×D412yes—
150C22×C4×C11C2×D412yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11C2×D412yes—
153C22×C4×C11#4112yes—
154C22×C4×C11#4112yes—
155C2×C22⋊D11—232no—
156C2×C22⋊D11—232no—
157C2×C22⋊D11—416no—
158C2×C22⋊D11—416no—
159C2×C22⋊D11—416no—
160C2×C22⋊D11—416no—
161C2×C22⋊D11—416no—
162C22×Dic11—216no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—24no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—24no—
178C22×Dic11—416no—
179C22×Dic11—416no—
180C22×Dic11—48no—
181C22×Dic11—48no—
182C22×Dic11C22×C414yes—
183C22×Dic11C2×D412yes—
184C22×Dic11C2×D414yes—
185C22×Dic11C2×D414yes—
186C22×Dic11C2×D414yes—
187C22×Dic11C2×D412yes—
188C22×Dic11#4114yes—
189C2×D44—28no—
190C2×D44—28no—
191C2×D44—28no—
192C2×D44—44no—
193C2×D44—44no—
194C2×D44—44no—
195C2×D44—44no—
196C11×C4⋊C4—44no—
197C11×C22⋊C4—416no—
198C42×C11—44no—
199C22⋊Dic11—216no—
200(C2×D11)⋊C4—416no—
201(C2×D11)⋊C4—48no—
202(C2×D11)⋊C4—48no—
203C4⋊Dic11—28no—
204C4×Dic11—28no—
205C4×Dic11—28no—
206C22×#127—111no—
207C22×C4×D4—111no—
208C2×#390—111no—
209C2×#390—111no—
210C2×#390D1111yescharacteristic, complemented
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—42no—
228C23×C11—44no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—44no—
233C23×C11—44no—
234C23×C11—44no—
235C23×C11—44no—
236C23×C11—44no—
237C23×C11C2×C22⋊C418yes—
238C23×C11C23×C411yescharacteristic
239C23×C11C22×D411yescharacteristic
240C23×C11C22×D411yescharacteristic
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D412yes—
243C23×C11C22×D411yescharacteristic
244C23×C11C2×#4111yescharacteristic
245C23×C11C2×#4111yescharacteristic
246C23×C11C2×#4112yes—
247C23×C11H(5,𝔽2)12yes—
248C23×C11H(5,𝔽2)12yes—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—28no—
253C22×D11—28no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—44no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—44no—
264C22×D11—44no—
265C22×D11—44no—
266C22×D11—44no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—44no—
271C22×D11—44no—
272D4×C11—232no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—44no—
284C2×C4×C11—44no—
285C2×C4×C11C2×C22⋊C414yes—
286C2×C4×C11C4×D414yes—
287C2×C4×C11C4×D414yes—
288C2×C4×C11#12014yes—
289C2×C4×C11#12114yes—
290C2×C4×C11#12114yes—
291C2×C4×C11#12314yes—
292C22⋊D11—464no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—28no—
308C2×Dic11—432no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—44no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11C4×D418yescomplemented
315C2×Dic11#12714yescomplemented
316D44—416no—
317C23×D4—114no—
318C23×D4—111no—
319C23×D4C2×D1111yescharacteristic
320C24×C4—112no—
321C2×#127—118no—
322C2×#127—224no—
323C2×#127—224no—
324C2×C4×D4—224no—
325C2×C4×D4—224no—
326C2×C4×D4—224no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—114no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4C2×D1114yes—
334C22×C42—111no—
335C22×C42—111no—
336C22×C42C2×D1111yescharacteristic
337#390—24no—
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×C11C22×C22⋊C411yescharacteristic
356C22×C11C2×C4×D411yescharacteristic
357C22×C11C2×C4×D411yescharacteristic
358C22×C11C2×C4×D412yes—
359C22×C11#51812yes—
360C22×C11C2×#12011yescharacteristic
361C22×C11C2×#12111yescharacteristic
362C22×C11C2×#12111yescharacteristic
363C22×C11C2×#12311yescharacteristic
364C22×C11C2×#12711yescharacteristic
365C22×C11#53212yes—
366C22×C11#53211yescharacteristic
367C22×C11#53511yescharacteristic
368C22×C11#53511yescharacteristic
369C22×C11#54012yes—
370C22×C11D4212yes—
371C22×C11D4212yes—
372C22×C11D4212yes—
373C22×C11#54612yes—
374C22×C11#54612yes—
375C22×C11#55012yes—
376C22×C11#55012yes—
377C22×C11#55912yes—
378C2×D11—44no—
379C2×D11—44no—
380C2×D11—48no—
381C2×D11—48no—
382C2×D11—44no—
383C2×D11—84no—
384C2×D11—82no—
385C2×D11—82no—
386C2×D11—84no—
387C2×D11—82no—
388C2×D11—82no—
389C4×C11—44no—
390C4×C11—82no—
391C4×C11#38618yescomplemented
392Dic11—28no—
393Dic11—24no—
394Dic11—42no—
395Dic11—44no—
396C25—112no—
397C25C22×D1112yes—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—22no—
401C22×D4—22no—
402C22×D4—1116no—
403C22×D4—114no—
404C22×D4—228no—
405C22×D4—228no—
406C22×D4—228no—
407C22×D4—228no—
408C22×D4—222no—
409C22×D4—222no—
410C22×D4—222no—
411C22×D4—222no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—444no—
415C22×D4—444no—
416C22×D4C4×D1114yes—
417C22×D4D4414yes—
418C22×D4C22⋊D1114yes—
419C23×C4—111no—
420C23×C4—112no—
421C23×C4—111no—
422C23×C4—112no—
423C23×C4—224no—
424C23×C4—224no—
425C23×C4—228no—
426C23×C4—224no—
427C23×C4—444no—
428C23×C4C22×D1112yes—
429C23×C4C22×D1112yes—
430C23×C4C22×D1111yescharacteristic
431#127—2232no—
432C4×D4—2232no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4—222no—
438C2×C4⋊C4—222no—
439C2×C22⋊C4—28no—
440C2×C22⋊C4—28no—
441C2×C22⋊C4—44no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—228no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—228no—
450C2×C22⋊C4—444no—
451C2×C22⋊C4—444no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—22no—
455C2×C42—114no—
456C2×C42—114no—
457C2×C42—222no—
458C2×C42—222no—
459C2×C42—222no—
460C2×C42—222no—
461#95—118no—
462#95—224no—
463#95—228no—
464C2×C11—48no—
465C2×C11C2×#38611yescharacteristic
466C2×C11C4×#12711yescharacteristic
467C2×C11#232811yescharacteristic
468C2×C11D4×C22⋊C412yes—
469C2×C11#236612yes—
470C2×C11#242812yes—
471C2×C11#243111yescharacteristic
472C2×C11#243311yescharacteristic
473C2×C11#244512yes—
474C2×C11#254111yescharacteristic
475C2×C11#254411yescharacteristic
476D11—84no—
477C24—24no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—24no—
483C24—24no—
484C24—24no—
485C24—114no—
486C24—222no—
487C24—222no—
488C24—222no—
489C24—224no—
490C24—222no—
491C24—222no—
492C24—224no—
493C24—224no—
494C24—224no—
495C24—222no—
496C24C2×C4×D1114yes—
497C24C2×D4414yes—
498C24C2×C22⋊D1114yes—
499C24C23×D1111yescharacteristic
500C2×D4—28no—
501C2×D4—28no—
502C2×D4—28no—
503C2×D4—28no—
504C2×D4—28no—
505C2×D4—28no—
506C2×D4—2232no—
507C2×D4—2232no—
508C2×D4—228no—
509C2×D4—228no—
510C2×D4—228no—
511C2×D4—4416no—
512C2×D4—4416no—
513C2×D4—4416no—
514C2×D4—4416no—
515C2×D4—4416no—
516C2×D4—444no—
517C2×D4—444no—
518C2×D4—444no—
519C2×D4—444no—
520C2×D4(C2×D11)⋊C4116yescomplemented
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—114no—
533C22×C4—114no—
534C22×C4—114no—
535C22×C4—112no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—114no—
539C22×C4—221no—
540C22×C4—222no—
541C22×C4—221no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—2216no—
547C22×C4—221no—
548C22×C4—222no—
549C22×C4—224no—
550C22×C4—221no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—224no—
555C22×C4—448no—
556C22×C4—4416no—
557C22×C4—4416no—
558C22×C4—448no—
559C22×C4C2×C4×D1112yes—
560C22×C4C2×D4412yes—
561C22×C4D4×D1114yes—
562C22×C4D4×D1112yes—
563C22×C4D4×D1112yes—
564C22×C4#434112yes—
565C22×C4#434112yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—44no—
568C4⋊C4—228no—
569C22⋊C4—416no—
570C22⋊C4—2216no—
571C22⋊C4—4416no—
572C22⋊C4—448no—
573C22⋊C4—448no—
574C42—44no—
575C42—228no—
576C42—228no—
577C11#1402511yescharacteristic, complemented, Sylow
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—42no—
591C23—42no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—224no—
601C23—224no—
602C23—224no—
603C23—228no—
604C23—228no—
605C23—442no—
606C23—442no—
607C23—444no—
608C23—442no—
609C23—442no—
610C23—444no—
611C23—442no—
612C23—442no—
613C23—444no—
614C23—444no—
615C23—444no—
616C23—444no—
617C23—444no—
618C23—444no—
619C23—444no—
620C23—442no—
621C23—442no—
622C23—444no—
623C23C2×(C2×D11)⋊C418yes—
624C23C22×C4×D1111yescharacteristic
625C23C22×D4411yescharacteristic
626C23C2×D4×D1111yescharacteristic
627C23C2×D4×D1112yes—
628C23C2×D4×D1111yescharacteristic
629C23C2×#434111yescharacteristic
630C23C2×#434111yescharacteristic
631C23#6703712yes—
632C23#41×D1112yes—
633C23#6704212yes—
634C23C22×C22⋊D1111yescharacteristic
635D4—232no—
636D4—4464no—
637D4—4416no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—114no—
651C2×C4—118no—
652C2×C4—222no—
653C2×C4—224no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—224no—
665C2×C4—228no—
666C2×C4—222no—
667C2×C4—4432no—
668C2×C4—442no—
669C2×C4—444no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4(C22⋊D11)⋊C414yes—
674C2×C4(C22⋊D11)⋊C414yes—
675C2×C4#6693514yes—
676C2×C4#6693914yes—
677C2×C4C2×(C2×D11)⋊C414yes—
678C2×C4#6699214yes—
679C2×C4#6699214yes—
680C22—216no—
681C22—28no—
682C22—48no—
683C22—44no—
684C22—48no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—48no—
691C22—448no—
692C22—448no—
693C22—444no—
694C22—444no—
695C22—444no—
696C22—884no—
697C22—882no—
698C22—882no—
699C22—882no—
700C22—882no—
701C22—884no—
702C22C2×(C22⋊D11)⋊C411yescharacteristic
703C22C2×(C22⋊D11)⋊C411yescharacteristic
704C22C2×#6693511yescharacteristic
705C22C2×#6693911yescharacteristic
706C22C4×D4×D1112yes—
707C22#1062307612yes—
708C22D4×D4412yes—
709C22#1062308512yes—
710C22#1062312712yes—
711C22#1062313012yes—
712C22#1062314012yes—
713C22#1062315012yes—
714C22#1062319911yescharacteristic
715C22#1062320511yescharacteristic
716C22#1062321212yes—
717C22D11×#12711yescharacteristic
718C22#1062324611yescharacteristic
719C22#1062324912yes—
720C22C22×(C2×D11)⋊C411yescharacteristic
721C22D4×C22⋊D1112yes—
722C22C2×#6699211yescharacteristic
723C22C2×#6699211yescharacteristic
724C22#1062336012yes—
725C4—44no—
726C4—82no—
727C4—228no—
728C4—224no—
729C4—442no—
730C4—444no—
731C4#1062257118yescomplemented
732C2—48no—
733C2—884no—
734C2C2×#1062257111yescharacteristic
735C2#1307118011yescharacteristic
736C2#1307134011yescharacteristic
737C2D4×(C2×D11)⋊C412yes—
738C2#1307167712yes—
739C2#1307220612yes—
740C2#1307223411yescharacteristic
741C2#1307225211yescharacteristic
742C2#1307237912yes—
743C2#1307356011yescharacteristic
744C2#1307358611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#390C2
socle, cosocleC24×C11C24
prime radicalC22×#66993C2
hypercenterC2×#390D11
hypocenterC11#14025
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×D4×Dic11C2semidirect
3. C2×#10622552C2semidirect
4. C2×#10622601C2semidirect
5. C2×#10622571C2semidirect
6. #13066855C2semidirect
7. #13066845C2semidirect
8. C4×C11⋊#95C2semidirect
9. C2×C11×#390C2semidirect
20. C2×#66993C4semidirect
55. C22×C22⋊D11C2×C4semidirect
71. C22×D44C2×C4semidirect
95. C2×C4⋊Dic11D4semidirect
100. C2×C4×Dic11C2×C4semidirect
101. C2×C4×Dic11D4semidirect
104. C11⋊#95D4semidirect
135. C2×D4×C11C22⋊C4semidirect
210. C2×#390D11semidirect
314. C2×Dic11C4×D4semidirect
315. C2×Dic11#127semidirect
391. C4×C11#386semidirect
520. C2×D4(C2×D11)⋊C4semidirect
577. C11#14025semidirect
731. C4#10622571semidirect

Maximal subgroups

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

subgroupindex
C22×#669932
C22×D4×Dic112
C2×#106225522
C2×#106226012
C2×#106225712
#130668552
#130668452
C4×C11⋊#952
C2×C11×#3902
#1402511