Finite Group Databasebeta

← #14682944

Subgroups — #14682944

Order 2816.

2070 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622834C211yesmaximal, characteristic
2C2×#10622833C211yesmaximal, characteristic
3#13066869C212yesmaximal, complemented
4#13066865C212yesmaximal, complemented
5#13066865C212yesmaximal, complemented
6#13066848C212yesmaximal, complemented
7#13066839C212yesmaximal, complemented
8#13066838C212yesmaximal, complemented
9C22×C11×#123C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C24×C4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C2×C11×#123—24no—
14C2×C11×#123—24no—
15C2×C11×#123C418yescomplemented
16C22×C11×C4⋊C4C2212yes—
17C22×C11×C22⋊C4C2212yes—
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2212yes—
21C22×C22⋊Dic11C2212yes—
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C4⋊Dic11C2211yescharacteristic
24C22×C4×Dic11C2211yescharacteristic
25#10622834—24no—
26#10622833—24no—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C25×C11C2311yescharacteristic
37C25×C11C2311yescharacteristic
38C22×D4×C11—41no—
39C22×D4×C11—41no—
40C22×D4×C11—41no—
41C22×D4×C11—41no—
42C22×D4×C11C2×C414yes—
43C22×D4×C11D414yes—
44C22×D4×C11D414yes—
45C23×C4×C11—22no—
46C23×C4×C11—22no—
47C23×C4×C11—41no—
48C23×C4×C11—41no—
49C23×C4×C11—41no—
50C23×C4×C11—41no—
51C23×C4×C11C2×C414yescomplemented
52C23×C4×C11C2312yes—
53C23×C4×C11C2312yes—
54C23×C4×C11C2311yescharacteristic
55C23×Dic11—22no—
56C23×Dic11—24no—
57C23×Dic11—41no—
58C23×Dic11—41no—
59C23×Dic11—42no—
60C23×Dic11C2312yes—
61C23×Dic11C2312yes—
62C23×Dic11C2312yes—
63C23×Dic11C2312yes—
64C11×#123—232no—
65C2×C11×C4⋊C4—24no—
66C2×C11×C4⋊C4—24no—
67C2×C11×C4⋊C4C2×C418yescomplemented
68C2×C11×C22⋊C4—24no—
69C2×C11×C22⋊C4—24no—
70C2×C11×C22⋊C4—22no—
71C2×C11×C22⋊C4—22no—
72C2×C11×C22⋊C4C2×C418yes—
73C2×C11×C22⋊C4C2×C414yescomplemented
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—22no—
76C2×C22⋊Dic11—24no—
77C2×C22⋊Dic11—24no—
78C2×C22⋊Dic11—24no—
79C2×C22⋊Dic11—24no—
80C2×C22⋊Dic11—24no—
81C2×C22⋊Dic11—42no—
82C2×C22⋊Dic11—42no—
83C2×C22⋊Dic11—42no—
84C2×C22⋊Dic11—41no—
85C2×C22⋊Dic11—41no—
86C2×C4⋊Dic11—22no—
87C2×C4⋊Dic11—41no—
88C2×C4⋊Dic11—41no—
89C2×C4×Dic11—22no—
90C2×C4×Dic11—41no—
91C2×C4×Dic11—41no—
92C11⋊#95—24no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—42no—
96C11⋊#95—42no—
97C11⋊#95—42no—
98C11⋊#95—42no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101#14505—111nomaximal, Sylow
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—21no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11C22×C412yes—
119C24×C11C22×C412yes—
120C24×C11C2×D412yes—
121C24×C11C2×D412yes—
122C24×C11C2×D412yes—
123C24×C11C2×D412yes—
124C24×C11C2411yescharacteristic
125C2×D4×C11—44no—
126C2×D4×C11—44no—
127C2×D4×C11—44no—
128C2×D4×C11—44no—
129C2×D4×C11—44no—
130C2×D4×C11—44no—
131C2×D4×C11C22⋊C4116yes—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—28no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—44no—
150C22×C4×C11—44no—
151C22×C4×C11—44no—
152C22×C4×C11—44no—
153C22×C4×C11—44no—
154C22×C4×C11—44no—
155C22×C4×C11C22×C414yes—
156C22×C4×C11C22×C414yes—
157C22×C4×C11C22×C412yes—
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2×D412yes—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
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—22no—
186C22×Dic11—48no—
187C22×Dic11—44no—
188C22×Dic11—44no—
189C22×Dic11—48no—
190C22×Dic11—44no—
191C22×Dic11#4114yes—
192C22×Dic11#4114yes—
193C11×C4⋊C4—216no—
194C11×C22⋊C4—216no—
195C11×C22⋊C4—28no—
196C22⋊Dic11—48no—
197C22⋊Dic11—48no—
198C22⋊Dic11—48no—
199C22⋊Dic11—44no—
200C4⋊Dic11—44no—
201C4×Dic11—44no—
202C22×#123D1111yescharacteristic
203C2×#390—111no—
204C2×#386—111no—
205#1441—112no—
206#1440—112no—
207#1440—112no—
208#1436—112no—
209C22⋊#95—112no—
210C22⋊#95—112no—
211C23×C11—24no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C2×C22⋊C414yes—
256C23×C11C2×C22⋊C414yes—
257C23×C11C23×C411yescharacteristic
258C23×C11C22×D411yescharacteristic
259C23×C11C22×D411yescharacteristic
260C23×C11C2×#4112yes—
261C23×C11C2×#4112yes—
262C23×C11H(5,𝔽2)11yescharacteristic
263C23×C11H(5,𝔽2)11yescharacteristic
264C23×C11H(5,𝔽2)11yescharacteristic
265C23×C11H(5,𝔽2)11yescharacteristic
266C23×C11H(5,𝔽2)12yes—
267C23×C112−1+412yes—
268D4×C11—416no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
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×C11—416no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C2×C4×C11C2×C22⋊C414yes—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—416no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C2×Dic11—42no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C23×D4C2×D1111yescharacteristic
321C24×C4—111no—
322C24×C4C2×D1111yescharacteristic
323C2×#123—24no—
324C2×#123—24no—
325C2×#123Dic1118yescomplemented
326C22×C4⋊C4—111no—
327C22×C4⋊C4C2×D1112yes—
328C22×C22⋊C4—112no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4C2×D1112yes—
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C42—111no—
335#390—224no—
336#386—224no—
337C2×#95—112no—
338C2×#95—112no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C2×#95—112no—
345C2×#95—112no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11C22×C22⋊C411yescharacteristic
369C22×C11C4×#4112yes—
370C22×C11#51811yescharacteristic
371C22×C11#51811yescharacteristic
372C22×C11#52012yes—
373C22×C11#53411yescharacteristic
374C22×C11#53411yescharacteristic
375C22×C11#53411yescharacteristic
376C22×C11#53411yescharacteristic
377C22×C11#53812yes—
378C22×C11#53912yes—
379C22×C11#54012yes—
380C22×C11#54212yes—
381C22×C11#54612yes—
382C22×C11#54612yes—
383C22×C11#54712yes—
384C22×C11#54712yes—
385C22×C11#55111yescharacteristic
386C22×C11#55312yes—
387C22×C11#55911yescharacteristic
388C22×C11#56011yescharacteristic
389C22×C11#56212yes—
390C22×C11#56311yescharacteristic
391C4×C11—24no—
392C4×C11—44no—
393C4×C11—44no—
394Dic11—44no—
395Dic11—44no—
396Dic11—82no—
397Dic11—82no—
398C25C22×D1111yescharacteristic
399C25C22×D1111yescharacteristic
400C22×D4—41no—
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4C2×Dic1114yes—
405C22×D4C22⋊D1114yes—
406C22×D4C22⋊D1114yes—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—41no—
410C23×C4—41no—
411C23×C4—41no—
412C23×C4—41no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4—112no—
416C23×C4—112no—
417C23×C4—224no—
418C23×C4—222no—
419C23×C4—441no—
420C23×C4—441no—
421C23×C4—442no—
422C23×C4C2×Dic1114yescomplemented
423C23×C4C22×D1112yes—
424C23×C4C22×D1112yes—
425C23×C4C22×D1111yescharacteristic
426#123—232no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—24no—
429C2×C4⋊C4—222no—
430C2×C4⋊C4—441no—
431C2×C4⋊C4—441no—
432C2×C4⋊C4C2×Dic1118yescomplemented
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—224no—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—222no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—442no—
445C2×C22⋊C4—442no—
446C2×C22⋊C4—442no—
447C2×C22⋊C4—441no—
448C2×C22⋊C4—441no—
449C2×C22⋊C4C2×Dic1118yes—
450C2×C22⋊C4C2×Dic1114yescomplemented
451C2×C42—222no—
452C2×C42—441no—
453C2×C42—441no—
454#95—224no—
455#95—224no—
456#95—224no—
457#95—442no—
458#95—442no—
459#95—442no—
460#95—442no—
461#95—442no—
462#95—442no—
463C2×C11—44no—
464C2×C11—44no—
465C2×C11#230811yescharacteristic
466C2×C11#233512yes—
467C2×C11#233912yes—
468C2×C11#237411yescharacteristic
469C2×C11#237611yescharacteristic
470C2×C11#269711yescharacteristic
471C2×C11#270112yes—
472C2×C11#270812yes—
473C2×C11#270911yescharacteristic
474C2×C11#271711yescharacteristic
475C2×C11#272411yescharacteristic
476C24—21no—
477C24—21no—
478C24—21no—
479C24—21no—
480C24—21no—
481C24—21no—
482C24—21no—
483C24—21no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24C22×Dic1112yes—
493C24C22×Dic1112yes—
494C24C2×C22⋊D1112yes—
495C24C2×C22⋊D1112yes—
496C24C2×C22⋊D1112yes—
497C24C2×C22⋊D1112yes—
498C24C23×D1111yescharacteristic
499C2×D4—44no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4C22⋊Dic11116yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—28no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—444no—
558C22×C4—448no—
559C22×C4—448no—
560C22×C4—444no—
561C22×C4—444no—
562C22×C4C22×Dic1114yes—
563C22×C4C22×Dic1114yes—
564C22×C4C22×Dic1112yes—
565C22×C4C2×C22⋊D1112yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—216no—
568C4⋊C4—444no—
569C22⋊C4—216no—
570C22⋊C4—28no—
571C22⋊C4—448no—
572C22⋊C4—448no—
573C22⋊C4—448no—
574C22⋊C4—444no—
575C42—444no—
576C11#1450511yescharacteristic, complemented, Sylow
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23C2×C22⋊Dic1114yes—
622C23C2×C22⋊Dic1114yes—
623C23#6703711yescharacteristic
624C23#6703711yescharacteristic
625C23#6703711yescharacteristic
626C23#6703711yescharacteristic
627C23#41×D1112yes—
628C23#41×D1112yes—
629C23#6704212yes—
630C23#6704312yes—
631C23C23×Dic1111yescharacteristic
632C23C22×C22⋊D1111yescharacteristic
633C23C22×C22⋊D1111yescharacteristic
634D4—416no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—416no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—4416no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4C2×C22⋊Dic1114yes—
686C22—28no—
687C22—28no—
688C22—24no—
689C22—24no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22#1062318211yescharacteristic
709C22#1062318812yes—
710C22#1062319011yescharacteristic
711C22#1062319112yes—
712C22#1062319212yes—
713C22#1062319312yes—
714C22#1062319412yes—
715C22#1062319511yescharacteristic
716C22#1062319711yescharacteristic
717C22#1062319812yes—
718C22#1062332911yescharacteristic
719C22#1062332911yescharacteristic
720C22#1062333511yescharacteristic
721C22#1062333511yescharacteristic
722C22#1062333511yescharacteristic
723C22#1062333511yescharacteristic
724C22#1062335512yes—
725C22#1062335512yes—
726C22#41×Dic1112yes—
727C22#1062335812yes—
728C22#1062336012yes—
729C22#1062336012yes—
730C22C22×C22⋊Dic1111yescharacteristic
731C4—24no—
732C4—44no—
733C4—44no—
734C4—444no—
735C4—444no—
736C4—882no—
737C4—882no—
738C2—44no—
739C2—44no—
740C2#1307119411yescharacteristic
741C2#1307141012yes—
742C2#1307144612yes—
743C2#1307175211yescharacteristic
744C2#1307176411yescharacteristic
745C2#1307517511yescharacteristic
746C2#1307522312yes—
747C2#1307533012yes—
748C2#1307534511yescharacteristic
749C2#1307545311yescharacteristic
750C2#1307554411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC22×C11×#123C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC22×#123D11
hypocenterC11#14505
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
3. #13066869C2semidirect
4. #13066865C2semidirect
5. #13066865C2semidirect
6. #13066848C2semidirect
7. #13066839C2semidirect
8. #13066838C2semidirect
15. C2×C11×#123C4semidirect
51. C23×C4×C11C2×C4semidirect
67. C2×C11×C4⋊C4C2×C4semidirect
73. C2×C11×C22⋊C4C2×C4semidirect
325. C2×#123Dic11semidirect
422. C23×C4C2×Dic11semidirect
432. C2×C4⋊C4C2×Dic11semidirect
450. C2×C22⋊C4C2×Dic11semidirect
576. C11#14505semidirect

Maximal subgroups

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

subgroupindex
C2×#106228342
C2×#106228332
#130668692
#130668652
#130668482
#130668392
#130668382
C22×C11×#1232
#1450511