Finite Group Databasebeta

← #14675279

Subgroups — #14675279

Order 2816.

2298 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622563C212yesmaximal
2C2×C4×C4⋊Dic11C211yesmaximal, characteristic, complemented
3C2×C22⋊C4×Dic11C212yesmaximal
4C22×C11⋊#95C211yesmaximal, characteristic
5#13066850C212yesmaximal, complemented
6#13066850C212yesmaximal, complemented
7#13066846C211yesmaximal, characteristic, complemented
8#13066843C211yesmaximal, characteristic, complemented
9#13066839C211yesmaximal, characteristic
10C4×C11⋊#95C211yesmaximal, characteristic, complemented
11C2×C4×C11×C22⋊C4C211yesmaximal, characteristic
12C24×C4×C11C2211yescharacteristic
13C24×Dic11C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C42×C11C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C22⋊Dic11C2212yes—
19C22×C4⋊Dic11C2212yes—
20C22×C4⋊Dic11C2212yes—
21C22×C4×Dic11C2212yes—
22C22×C4×Dic11C2212yes—
23C4×C11×C22⋊C4C418yescomplemented
24C2×C11×#95C2211yescharacteristic
25C2×C11×#95C2211yescharacteristic
26C2×C11⋊#95—24no—
27C2×C11⋊#95C2211yescharacteristic
28C2×C11⋊#95C2211yescharacteristic
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2211yescharacteristic
37#10622563C4116yescomplemented
38C22⋊C4×Dic11—28no—
39C4×C4⋊Dic11—24no—
40C25×C11C2311yescharacteristic
41C23×C4×C11—24no—
42C23×C4×C11—22no—
43C23×C4×C11—22no—
44C23×C4×C11—42no—
45C23×C4×C11C2×C414yes—
46C23×C4×C11C2311yescharacteristic
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C23×C4×C11C2311yescharacteristic
50C23×C4×C11C2311yescharacteristic
51C23×C4×C11C2311yescharacteristic
52C23×Dic11—24no—
53C23×Dic11—24no—
54C23×Dic11—24no—
55C23×Dic11—24no—
56C23×Dic11—42no—
57C23×Dic11—42no—
58C23×Dic11C2×C418yes—
59C23×Dic11C2312yes—
60C23×Dic11C2312yes—
61C23×Dic11C2312yes—
62C23×Dic11C2312yes—
63C2×C11×C22⋊C4C2×C418yes—
64C2×C11×C22⋊C4C2×C414yes—
65C2×C11×C22⋊C4C2×C414yes—
66C2×C11×C22⋊C4D414yes—
67C2×C11×C22⋊C4Q814yes—
68C2×C42×C11—22no—
69C2×C42×C11—22no—
70C2×C42×C11—42no—
71C2×C42×C11C2×C414yescomplemented
72C2×C42×C11C2×C414yescomplemented
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11C2×C418yes—
76C2×C4⋊Dic11—24no—
77C2×C4⋊Dic11—24no—
78C2×C4⋊Dic11—42no—
79C2×C4⋊Dic11—42no—
80C2×C4⋊Dic11C2×C418yescomplemented
81C2×C4⋊Dic11C2×C418yescomplemented
82C2×C4×Dic11—24no—
83C2×C4×Dic11—24no—
84C2×C4×Dic11—24no—
85C2×C4×Dic11—24no—
86C2×C4×Dic11—42no—
87C2×C4×Dic11—42no—
88C11×#95C2×C414yescomplemented
89C11×#95C2×C414yescomplemented
90C11⋊#95—22no—
91C11⋊#95—24no—
92C11⋊#95—24no—
93C11⋊#95—22no—
94C11⋊#95—22no—
95C11⋊#95—24no—
96C11⋊#95—42no—
97C11⋊#95C2×C418yescomplemented
98C11⋊#95C2×C418yescomplemented
99C11⋊#95D414yes—
100#13814—111nomaximal, Sylow
101C24×C11—21no—
102C24×C11—22no—
103C24×C11—21no—
104C24×C11—21no—
105C24×C11—22no—
106C24×C11—21no—
107C24×C11C22×C412yes—
108C24×C11C22×C414yes—
109C24×C11C2×D412yes—
110C24×C11C2×Q812yes—
111C24×C11#4114yes—
112C24×C11C2411yescharacteristic
113C22×C4×C11—21no—
114C22×C4×C11—21no—
115C22×C4×C11—22no—
116C22×C4×C11—22no—
117C22×C4×C11—21no—
118C22×C4×C11—21no—
119C22×C4×C11—22no—
120C22×C4×C11—21no—
121C22×C4×C11—22no—
122C22×C4×C11—21no—
123C22×C4×C11—22no—
124C22×C4×C11—22no—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—28no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—21no—
131C22×C4×C11—22no—
132C22×C4×C11—28no—
133C22×C4×C11—44no—
134C22×C4×C11—48no—
135C22×C4×C11—48no—
136C22×C4×C11C22×C412yes—
137C22×C4×C11C22×C414yes—
138C22×C4×C11C22×C414yes—
139C22×C4×C11C22×C412yes—
140C22×C4×C11C22×C412yes—
141C22×C4×C11C22×C412yes—
142C22×C4×C11C22×C412yes—
143C22×C4×C11C22×C412yes—
144C22×C4×C11C2×D412yes—
145C22×C4×C11C2×D412yes—
146C22×C4×C11C2×D412yes—
147C22×C4×C11C2×Q812yes—
148C22×C4×C11C2×Q812yes—
149C22×C4×C11#4112yes—
150C22×Dic11—216no—
151C22×Dic11—216no—
152C22×Dic11—22no—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
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—48no—
175C22×Dic11—48no—
176C22×Dic11—48no—
177C22×Dic11—48no—
178C22×Dic11—48no—
179C22×Dic11C22×C414yes—
180C22×Dic11C22×C414yes—
181C22×Dic11C22×C414yes—
182C22×Dic11C22×C414yes—
183C22×Dic11C2×D414yes—
184C22×Dic11#4114yes—
185C11×C22⋊C4C42116yescomplemented
186C11×C22⋊C4C4⋊C4116yescomplemented
187C42×C11—28no—
188C42×C11—44no—
189C22⋊Dic11—216no—
190C4⋊Dic11—216no—
191C4⋊Dic11—48no—
192C4×Dic11—48no—
193C4×Dic11—48no—
194C2×#385—112no—
195C2×C4×C4⋊C4—111no—
196C2×C4×C22⋊C4—112no—
197C2×C4×C22⋊C4D1111yescharacteristic
198C22×#95—111no—
199#1436—112no—
200#1436—112no—
201C4⋊#95—111no—
202#1434—111no—
203C22⋊#95—111no—
204C4×#95—111no—
205C23×C11—24no—
206C23×C11—22no—
207C23×C11—24no—
208C23×C11—22no—
209C23×C11—24no—
210C23×C11—22no—
211C23×C11—24no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—22no—
223C23×C11C2×C4214yes—
224C23×C11C2×C4⋊C414yes—
225C23×C11#11714yes—
226C23×C11C4×D418yes—
227C23×C11C4×Q818yes—
228C23×C11C23×C412yes—
229C23×C11C23×C411yescharacteristic
230C23×C11C22×D411yescharacteristic
231C23×C11C22×D411yescharacteristic
232C23×C11C22×Q811yescharacteristic
233C23×C11C2×#4112yes—
234C23×C11C2×#4111yescharacteristic
235C23×C11C2×#4112yes—
236C23×C11H(5,𝔽2)12yes—
237C23×C11H(5,𝔽2)11yescharacteristic
238C23×C112−1+411yescharacteristic
239C2×C4×C11—22no—
240C2×C4×C11—24no—
241C2×C4×C11—22no—
242C2×C4×C11—22no—
243C2×C4×C11—24no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—24no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—22no—
250C2×C4×C11—24no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—24no—
255C2×C4×C11—24no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—416no—
265C2×C4×C11—42no—
266C2×C4×C11—42no—
267C2×C4×C11C2×C4214yes—
268C2×C4×C11C2×C4214yes—
269C2×C4×C11C2×C4⋊C414yes—
270C2×C4×C11C2×C4⋊C414yes—
271C2×C4×C11C4×D414yes—
272C2×Dic11—24no—
273C2×Dic11—24no—
274C2×Dic11—24no—
275C2×Dic11—24no—
276C2×Dic11—24no—
277C2×Dic11—24no—
278C2×Dic11—24no—
279C2×Dic11—24no—
280C2×Dic11—24no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—432no—
288C2×Dic11—42no—
289C2×Dic11—42no—
290C2×Dic11—42no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11—42no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—42no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11C4×D418yes—
301C24×C4—112no—
302C24×C4C2×D1111yescharacteristic
303C22×C4⋊C4—112no—
304C22×C4⋊C4—112no—
305C22×C22⋊C4—112no—
306C22×C22⋊C4C2×D1111yescharacteristic
307C22×C22⋊C4C2×D1111yescharacteristic
308C22×C42—112no—
309C22×C42—112no—
310C22×C42C2×D1111yescharacteristic
311C22×C42C2×D1111yescharacteristic
312#385—1116no—
313C4×C4⋊C4—224no—
314C4×C22⋊C4—228no—
315C4×C22⋊C4Dic1118yescomplemented
316C2×#95—112no—
317C2×#95—111no—
318C2×#95—112no—
319C2×#95—111no—
320C2×#95—111no—
321C2×#95—111no—
322C2×#95—112no—
323C2×#95—112no—
324C2×#95—112no—
325C2×#95—112no—
326C2×#95—224no—
327C2×#95C2×D1111yescharacteristic
328C2×#95C2×D1111yescharacteristic
329C22×C11—24no—
330C22×C11—24no—
331C22×C11—24no—
332C22×C11—24no—
333C22×C11—28no—
334C22×C11—28no—
335C22×C11—28no—
336C22×C11—28no—
337C22×C11—24no—
338C22×C11—24no—
339C22×C11C4×C4⋊C418yescomplemented
340C22×C11C22×C4211yescharacteristic
341C22×C11C22×C4⋊C411yescharacteristic
342C22×C11C2×#11711yescharacteristic
343C22×C11C2×C4×D412yes—
344C22×C11C2×C4×D411yescharacteristic
345C22×C11C2×C4×D412yes—
346C22×C11C2×C4×Q812yes—
347C22×C11C4×#4112yes—
348C22×C11C4×#4111yescharacteristic
349C22×C11#51811yescharacteristic
350C22×C11#51812yes—
351C22×C11#52012yes—
352C22×C11#52011yescharacteristic
353C22×C11D4211yescharacteristic
354C22×C11#54612yes—
355C22×C11#54612yes—
356C22×C11#54711yescharacteristic
357C22×C11D4×Q811yescharacteristic
358C22×C11#55112yes—
359C22×C11#55112yes—
360C22×C11#55212yes—
361C22×C11#55412yes—
362C22×C11#55411yescharacteristic
363C4×C11—24no—
364C4×C11—24no—
365C4×C11—24no—
366C4×C11—24no—
367C4×C11—24no—
368C4×C11—42no—
369Dic11—28no—
370Dic11—44no—
371Dic11—44no—
372Dic11—44no—
373C25C22×D1111yescharacteristic
374C23×C4—24no—
375C23×C4—22no—
376C23×C4—22no—
377C23×C4—42no—
378C23×C4—112no—
379C23×C4—112no—
380C23×C4—112no—
381C23×C4—112no—
382C23×C4—118no—
383C23×C4—224no—
384C23×C4—224no—
385C23×C4—224no—
386C23×C4—224no—
387C23×C4—442no—
388C23×C4—442no—
389C23×C4C2×Dic1114yes—
390C23×C4C22×D1111yescharacteristic
391C23×C4C22×D1111yescharacteristic
392C23×C4C22×D1111yescharacteristic
393C23×C4C22×D1111yescharacteristic
394C23×C4C22×D1111yescharacteristic
395C23×C4C22×D1111yescharacteristic
396C2×C4⋊C4—118no—
397C2×C4⋊C4—118no—
398C2×C4⋊C4—224no—
399C2×C4⋊C4—224no—
400C2×C4⋊C4—442no—
401C2×C4⋊C4—442no—
402C2×C22⋊C4—118no—
403C2×C22⋊C4—224no—
404C2×C22⋊C4—224no—
405C2×C22⋊C4Dic2214yes—
406C2×C22⋊C4C4×D1118yes—
407C2×C22⋊C4D4414yes—
408C2×C22⋊C4C2×Dic1114yes—
409C2×C22⋊C4C2×Dic1114yes—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—42no—
413C2×C42—224no—
414C2×C42—224no—
415C2×C42—224no—
416C2×C42—224no—
417C2×C42—442no—
418C2×C42—442no—
419C2×C42C2×Dic1114yescomplemented
420C2×C42C2×Dic1114yescomplemented
421#95—118no—
422#95—118no—
423#95—114no—
424#95—224no—
425#95—224no—
426#95—224no—
427#95—222no—
428#95—222no—
429#95—222no—
430#95—442no—
431#95C2×Dic1114yescomplemented
432#95C2×Dic1114yescomplemented
433C2×C11—28no—
434C2×C11C2×C4×C4⋊C411yescharacteristic
435C2×C11C42×D411yescharacteristic
436C2×C11#227511yescharacteristic
437C2×C11#234211yescharacteristic
438C2×C11#234311yescharacteristic
439C2×C11D4×C4⋊C411yescharacteristic
440C2×C11#234911yescharacteristic
441C2×C11#235812yes—
442C2×C11#235912yes—
443C2×C11#236012yes—
444C2×C11#236812yes—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24C2×Dic2212yes—
452C24C2×C4×D1114yes—
453C24C2×D4412yes—
454C24#433914yes—
455C24C22×Dic1112yes—
456C24C23×D1111yescharacteristic
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—28no—
477C22×C4—44no—
478C22×C4—48no—
479C22×C4—48no—
480C22×C4—114no—
481C22×C4—114no—
482C22×C4—114no—
483C22×C4—114no—
484C22×C4—114no—
485C22×C4—114no—
486C22×C4—2216no—
487C22×C4—222no—
488C22×C4—222no—
489C22×C4—222no—
490C22×C4—222no—
491C22×C4—2216no—
492C22×C4—222no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—222no—
499C22×C4—222no—
500C22×C4—222no—
501C22×C4—222no—
502C22×C4—222no—
503C22×C4—222no—
504C22×C4—222no—
505C22×C4—222no—
506C22×C4—222no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—222no—
510C22×C4—448no—
511C22×C4—448no—
512C22×C4—448no—
513C22×C4—448no—
514C22×C4—448no—
515C22×C4C2×Dic2212yes—
516C22×C4C2×Dic2212yes—
517C22×C4C2×C4×D1114yes—
518C22×C4C2×C4×D1114yes—
519C22×C4C2×D4412yes—
520C22×C4C2×D4412yes—
521C22×C4D4×D1112yes—
522C22×C4#434112yes—
523C22×C4C22×Dic1112yes—
524C22×C4C22×Dic1112yes—
525C22×C4C22×Dic1112yes—
526C22×C4C22×Dic1112yes—
527C22×C4C22×Dic1112yes—
528C22×C4C22×Dic1112yes—
529C4⋊C4—2216no—
530C4⋊C4—448no—
531C22⋊C4—2216no—
532C22⋊C4C4×Dic11116yescomplemented
533C22⋊C4C4⋊Dic11116yescomplemented
534C42—28no—
535C42—44no—
536C42—448no—
537C42—448no—
538C11#1381411yescharacteristic, complemented, Sylow
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—22no—
545C23—24no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—22no—
553C23—24no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23C4×Dic2218yes—
558C23C4×D4418yes—
559C23C2×C4×Dic1114yes—
560C23C2×C4⋊Dic1114yes—
561C23#6697914yes—
562C23C22×Dic2211yescharacteristic
563C23C22×C4×D1112yes—
564C23C22×D4411yescharacteristic
565C23C2×#433912yes—
566C23C2×D4×D1111yescharacteristic
567C23C2×#434111yescharacteristic
568C23#6703712yes—
569C23#41×D1112yes—
570C23#6704211yescharacteristic
571C23#6704311yescharacteristic
572C23C23×Dic1111yescharacteristic
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—416no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—118no—
602C2×C4—224no—
603C2×C4—224no—
604C2×C4—224no—
605C2×C4—224no—
606C2×C4—224no—
607C2×C4—224no—
608C2×C4—224no—
609C2×C4—224no—
610C2×C4—224no—
611C2×C4—224no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—4432no—
618C2×C4—442no—
619C2×C4—442no—
620C2×C4—442no—
621C2×C4—442no—
622C2×C4—442no—
623C2×C4—442no—
624C2×C4—442no—
625C2×C4—442no—
626C2×C4—442no—
627C2×C4—442no—
628C2×C4—442no—
629C2×C4—442no—
630C2×C4C2×C4×Dic1114yes—
631C2×C4C2×C4×Dic1114yes—
632C2×C4C2×C4⋊Dic1114yes—
633C2×C4C2×C4⋊Dic1114yes—
634C2×C4D4×Dic1114yes—
635C22—28no—
636C22—28no—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—28no—
644C22—28no—
645C22C4×C4⋊Dic1118yescomplemented
646C22C2×C4×Dic2212yes—
647C22C2×C4×D4412yes—
648C22#1062302112yes—
649C22#1062302612yes—
650C22#1062305812yes—
651C22#1062306212yes—
652C22C4×#434112yes—
653C22D4×Dic2211yescharacteristic
654C22#1062307012yes—
655C22#1062307411yescharacteristic
656C22C4×D4×D1112yes—
657C22#1062307612yes—
658C22#1062307712yes—
659C22D4×D4411yescharacteristic
660C22#1062308512yes—
661C22#1062308611yescharacteristic
662C22C22×C4×Dic1111yescharacteristic
663C22C22×C4⋊Dic1111yescharacteristic
664C22C2×#6697911yescharacteristic
665C22C2×D4×Dic1111yescharacteristic
666C22#1062332911yescharacteristic
667C22#41×Dic1111yescharacteristic
668C22#1062335811yescharacteristic
669C4—24no—
670C4—24no—
671C4—24no—
672C4—24no—
673C4—24no—
674C4—42no—
675C4—228no—
676C4—444no—
677C4—444no—
678C4—444no—
679C2—28no—
680C2C2×C4×C4⋊Dic1111yescharacteristic
681C2C4×D4×Dic1111yescharacteristic
682C2#1307097711yescharacteristic
683C2#1307146511yescharacteristic
684C2#1307147611yescharacteristic
685C2D4×C4⋊Dic1111yescharacteristic
686C2#1307152611yescharacteristic
687C2#1307159812yes—
688C2#1307161012yes—
689C2#1307162212yes—
690C2#1307169412yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC22×C11C22×C42
FittingC2×C4×C11×C22⋊C4C2
socle, cosocleC24×C11C24
prime radicalC25×C11C23
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#13814
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Dic11C2semidirect
5. #13066850C2semidirect
6. #13066850C2semidirect
7. #13066846C2semidirect
8. #13066843C2semidirect
10. C4×C11⋊#95C2semidirect
23. C4×C11×C22⋊C4C4semidirect
37. #10622563C4semidirect
71. C2×C42×C11C2×C4semidirect
72. C2×C42×C11C2×C4semidirect
80. C2×C4⋊Dic11C2×C4semidirect
81. C2×C4⋊Dic11C2×C4semidirect
88. C11×#95C2×C4semidirect
89. C11×#95C2×C4semidirect
97. C11⋊#95C2×C4semidirect
98. C11⋊#95C2×C4semidirect
185. C11×C22⋊C4C42semidirect
186. C11×C22⋊C4C4⋊C4semidirect
315. C4×C22⋊C4Dic11semidirect
339. C22×C11C4×C4⋊C4semidirect
419. C2×C42C2×Dic11semidirect
420. C2×C42C2×Dic11semidirect
431. #95C2×Dic11semidirect
432. #95C2×Dic11semidirect
532. C22⋊C4C4×Dic11semidirect
533. C22⋊C4C4⋊Dic11semidirect
538. C11#13814semidirect
645. C22C4×C4⋊Dic11semidirect

Maximal subgroups

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

subgroupindex
C2×#106225632
C2×C4×C4⋊Dic112
C2×C22⋊C4×Dic112
C22×C11⋊#952
#130668502
#130668462
#130668432
#130668392
C4×C11⋊#952
C2×C4×C11×C22⋊C42
#1381411