Finite Group Databasebeta

← #14675285

Subgroups — #14675285

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×#10622281C212yesmaximal
2C2×C4×C4⋊Dic11C211yesmaximal, characteristic, complemented
3C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic
4C2×#10622279C212yesmaximal
5C2×D11×#95C211yesmaximal, characteristic
6#13066850C212yesmaximal, complemented
7#13066847C212yesmaximal, complemented
8Dic11⋊#95C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C211yesmaximal, characteristic
10#95×Dic11C211yesmaximal, characteristic, complemented
11C11×#1434C211yesmaximal, characteristic, complemented
12C23×C4×D11C2211yescharacteristic
13C23×C4×D11C2212yes—
14C22×C42×C11C2211yescharacteristic
15C22×(C2×D11)⋊C4C2212yes—
16C22×(C2×D11)⋊C4C2211yescharacteristic
17C22×(C2×D11)⋊C4C2211yescharacteristic
18C22×C4⋊Dic11C2212yes—
19C22×Dic11⋊C4C2212yes—
20C22×C4×Dic11C2212yes—
21C22×C4×Dic11C2212yes—
22C22×C4×Dic11C2211yescharacteristic
23C2×C11×#95C2211yescharacteristic
24C2×C11×#95C2211yescharacteristic
25C2×C11×#95C2212yes—
26C2×C11×#95C2212yes—
27C2×C11⋊#95C2211yescharacteristic
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2211yescharacteristic
34C2×C11⋊#95C2211yescharacteristic
35C4×(C2×D11)⋊C4C418yescomplemented
36C4×C4⋊Dic11—24no—
37#10622281C4116yescomplemented
38#10622279—28no—
39D11×#95—24no—
40C24×D11C2311yescharacteristic
41C23×C4×C11C2312yes—
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×Dic11C2312yes—
47C23×Dic11C2311yescharacteristic
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2311yescharacteristic
50C23×Dic11C2312yes—
51C22×C4×D11—24no—
52C22×C4×D11—24no—
53C22×C4×D11—24no—
54C22×C4×D11—22no—
55C22×C4×D11—22no—
56C22×C4×D11—24no—
57C22×C4×D11—24no—
58C22×C4×D11—42no—
59C22×C4×D11—42no—
60C22×C4×D11—42no—
61C22×C4×D11C2×C418yes—
62C22×C4×D11C2×C414yes—
63C2×C42×C11—22no—
64C2×C42×C11—22no—
65C2×C42×C11C2×C414yescomplemented
66C2×(C2×D11)⋊C4—24no—
67C2×(C2×D11)⋊C4—24no—
68C2×(C2×D11)⋊C4C2×C418yes—
69C2×(C2×D11)⋊C4C2×C418yes—
70C2×(C2×D11)⋊C4C2×C414yes—
71C2×(C2×D11)⋊C4C2×C414yes—
72C2×(C2×D11)⋊C4D414yes—
73C2×(C2×D11)⋊C4Q814yes—
74C2×C4⋊Dic11—24no—
75C2×C4⋊Dic11—24no—
76C2×C4⋊Dic11C2×C418yescomplemented
77C2×Dic11⋊C4—42no—
78C2×Dic11⋊C4—42no—
79C2×Dic11⋊C4C2×C418yescomplemented
80C2×C4×Dic11—24no—
81C2×C4×Dic11—24no—
82C2×C4×Dic11—24no—
83C2×C4×Dic11—24no—
84C2×C4×Dic11—42no—
85C2×C4×Dic11—42no—
86C2×C4×Dic11—42no—
87C2×C4×Dic11C2×C414yescomplemented
88C11×#95—22no—
89C11×#95—24no—
90C11×#95—22no—
91C11×#95C2×C418yescomplemented
92C11⋊#95—22no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—42no—
96C11⋊#95C2×C418yescomplemented
97C11⋊#95C2×C414yescomplemented
98C11⋊#95C2×C414yescomplemented
99C11⋊#95D414yes—
100#13814—111nomaximal, Sylow
101C24×C11C2411yescharacteristic
102C23×D11—21no—
103C23×D11—22no—
104C23×D11—21no—
105C23×D11—21no—
106C23×D11—22no—
107C23×D11—21no—
108C23×D11C22×C412yes—
109C23×D11C22×C414yes—
110C23×D11C2×D412yes—
111C23×D11C2×Q812yes—
112C23×D11#4114yes—
113C22×C4×C11—21no—
114C22×C4×C11—21no—
115C22×C4×C11—22no—
116C22×C4×C11—21no—
117C22×C4×C11—21no—
118C22×C4×C11—22no—
119C22×C4×C11—21no—
120C22×C4×C11—22no—
121C22×C4×C11—21no—
122C22×C4×C11—22no—
123C22×C4×C11—22no—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11C22×C414yes—
135C22×C4×C11C22×C414yes—
136C22×C4×C11C22×C412yes—
137C22×C4×C11C22×C414yes—
138C22×C4×C11C22×C412yes—
139C22×C4×C11C22×C412yes—
140C22×C4×C11C2×D412yes—
141C22×C4×C11C2×D412yes—
142C22×C4×C11C2×Q812yes—
143C22×C4×C11#4112yes—
144C22×Dic11—22no—
145C22×Dic11—21no—
146C22×Dic11—22no—
147C22×Dic11—22no—
148C22×Dic11—22no—
149C22×Dic11—22no—
150C22×Dic11—22no—
151C22×Dic11—22no—
152C22×Dic11—21no—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—21no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—21no—
163C22×Dic11C22×C412yes—
164C22×Dic11C22×C414yes—
165C22×Dic11C22×C412yes—
166C22×Dic11C22×C414yes—
167C22×Dic11C22×C412yes—
168C22×Dic11C22×C414yes—
169C22×Dic11C2×D412yes—
170C22×Dic11C2×D414yes—
171C22×Dic11C2×Q812yes—
172C22×Dic11#4114yes—
173C2×C4×D11—216no—
174C2×C4×D11—28no—
175C2×C4×D11—216no—
176C2×C4×D11—28no—
177C2×C4×D11—44no—
178C2×C4×D11—48no—
179C2×C4×D11—48no—
180C2×C4×D11—48no—
181C2×C4×D11—48no—
182C2×C4×D11—48no—
183C2×C4×D11—48no—
184C2×C4×D11—48no—
185C42×C11—28no—
186(C2×D11)⋊C4—216no—
187(C2×D11)⋊C4C42116yescomplemented
188(C2×D11)⋊C4C4⋊C4116yescomplemented
189C4⋊Dic11—216no—
190Dic11⋊C4—48no—
191C4×Dic11—44no—
192C4×Dic11—48no—
193C4×Dic11—48no—
194C2×#385—112no—
195C2×C4×C4⋊C4—111no—
196C2×C4×C22⋊C4—111no—
197C2×C4×C22⋊C4—112no—
198C22×#95—111no—
199#1436—112no—
200#1436—112no—
201C4⋊#95—111no—
202#1434D1111yescharacteristic, complemented
203C22⋊#95—111no—
204C4×#95—111no—
205C23×C11C23×C411yescharacteristic
206C23×C11C23×C412yes—
207C23×C11C22×D411yescharacteristic
208C23×C11C22×D411yescharacteristic
209C23×C11C22×Q811yescharacteristic
210C23×C11C2×#4111yescharacteristic
211C23×C11C2×#4112yes—
212C23×C11C2×#4112yes—
213C23×C11H(5,𝔽2)11yescharacteristic
214C23×C11H(5,𝔽2)12yes—
215C23×C112−1+411yescharacteristic
216C22×D11—22no—
217C22×D11—24no—
218C22×D11—22no—
219C22×D11—24no—
220C22×D11—22no—
221C22×D11—24no—
222C22×D11—22no—
223C22×D11—24no—
224C22×D11—22no—
225C22×D11—24no—
226C22×D11—24no—
227C22×D11—22no—
228C22×D11—22no—
229C22×D11—24no—
230C22×D11—24no—
231C22×D11—24no—
232C22×D11—22no—
233C22×D11—24no—
234C22×D11C2×C4214yes—
235C22×D11C2×C4⋊C414yes—
236C22×D11#11714yes—
237C22×D11C4×D418yes—
238C22×D11C4×Q818yes—
239C2×C4×C11—22no—
240C2×C4×C11—24no—
241C2×C4×C11—22no—
242C2×C4×C11—22no—
243C2×C4×C11—22no—
244C2×C4×C11—24no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—22no—
248C2×C4×C11—24no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—24no—
252C2×C4×C11—22no—
253C2×C4×C11—24no—
254C2×C4×C11—24no—
255C2×C4×C11—24no—
256C2×C4×C11—24no—
257C2×C4×C11—24no—
258C2×C4×C11—24no—
259C2×C4×C11—42no—
260C2×C4×C11—42no—
261C2×C4×C11—42no—
262C2×C4×C11—42no—
263C2×C4×C11—42no—
264C2×C4×C11—42no—
265C2×C4×C11—42no—
266C2×C4×C11—42no—
267C2×C4×C11C2×C4214yes—
268C2×C4×C11C2×C4⋊C414yes—
269C2×C4×C11C4×D414yes—
270C2×Dic11—24no—
271C2×Dic11—22no—
272C2×Dic11—22no—
273C2×Dic11—22no—
274C2×Dic11—24no—
275C2×Dic11—24no—
276C2×Dic11—22no—
277C2×Dic11—24no—
278C2×Dic11—24no—
279C2×Dic11—24no—
280C2×Dic11—24no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—22no—
288C2×Dic11—24no—
289C2×Dic11—22no—
290C2×Dic11—42no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11—42no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11C2×C4214yes—
297C2×Dic11C2×C4⋊C414yes—
298C2×Dic11C4×D418yes—
299C4×D11—432no—
300C4×D11—416no—
301C24×C4—111no—
302C24×C4—112no—
303C22×C4⋊C4—112no—
304C22×C4⋊C4—112no—
305C22×C22⋊C4—111no—
306C22×C22⋊C4—111no—
307C22×C22⋊C4—112no—
308C22×C42—111no—
309C22×C42—112no—
310C22×C42—112no—
311C22×C42C2×D1111yescharacteristic
312#385—1116no—
313C4×C4⋊C4—224no—
314C4×C22⋊C4—118no—
315C4×C22⋊C4—228no—
316C2×#95—112no—
317C2×#95—111no—
318C2×#95—111no—
319C2×#95—111no—
320C2×#95—111no—
321C2×#95—112no—
322C2×#95—112no—
323C2×#95—112no—
324C2×#95—224no—
325C2×#95C2×D1111yescharacteristic
326C2×#95C2×D1111yescharacteristic
327C2×#95C2×D1112yes—
328C2×#95C2×D1112yes—
329C22×C11C22×C4211yescharacteristic
330C22×C11C22×C4⋊C411yescharacteristic
331C22×C11C2×#11711yescharacteristic
332C22×C11C2×C4×D411yescharacteristic
333C22×C11C2×C4×D412yes—
334C22×C11C2×C4×D412yes—
335C22×C11C2×C4×Q812yes—
336C22×C11C4×#4111yescharacteristic
337C22×C11C4×#4112yes—
338C22×C11#51811yescharacteristic
339C22×C11#51812yes—
340C22×C11#52011yescharacteristic
341C22×C11#52012yes—
342C22×C11D4211yescharacteristic
343C22×C11#54612yes—
344C22×C11#54612yes—
345C22×C11#54711yescharacteristic
346C22×C11D4×Q811yescharacteristic
347C22×C11#55112yes—
348C22×C11#55112yes—
349C22×C11#55212yes—
350C22×C11#55411yescharacteristic
351C22×C11#55412yes—
352C2×D11—24no—
353C2×D11—24no—
354C2×D11—24no—
355C2×D11—24no—
356C2×D11—28no—
357C2×D11—28no—
358C2×D11—28no—
359C2×D11—28no—
360C2×D11—24no—
361C2×D11—24no—
362C2×D11C4×C4⋊C418yescomplemented
363C4×C11—24no—
364C4×C11—24no—
365C4×C11—24no—
366C4×C11—44no—
367C4×C11—44no—
368Dic11—24no—
369Dic11—28no—
370Dic11—24no—
371Dic11—42no—
372Dic11—44no—
373C25—111no—
374C23×C4—111no—
375C23×C4—111no—
376C23×C4—112no—
377C23×C4—112no—
378C23×C4—111no—
379C23×C4—114no—
380C23×C4—118no—
381C23×C4—224no—
382C23×C4—224no—
383C23×C4—224no—
384C23×C4—224no—
385C23×C4—224no—
386C23×C4—222no—
387C23×C4—222no—
388C23×C4—442no—
389C23×C4—442no—
390C23×C4—442no—
391C23×C4C22×D1112yes—
392C23×C4C22×D1112yes—
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—114no—
403C2×C22⋊C4—114no—
404C2×C22⋊C4—118no—
405C2×C22⋊C4—114no—
406C2×C22⋊C4—114no—
407C2×C22⋊C4—118no—
408C2×C22⋊C4—224no—
409C2×C22⋊C4—224no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—114no—
413C2×C42—224no—
414C2×C42—224no—
415C2×C42—224no—
416C2×C42—224no—
417C2×C42—442no—
418C2×C42—442no—
419C2×C42—442no—
420C2×C42C4×D1114yescomplemented
421#95—22no—
422#95—24no—
423#95—22no—
424#95—114no—
425#95—114no—
426#95—118no—
427#95—114no—
428#95—224no—
429#95—224no—
430#95—222no—
431#95—442no—
432#95C4×D1118yescomplemented
433C2×C11C2×C4×C4⋊C411yescharacteristic
434C2×C11C42×D411yescharacteristic
435C2×C11#227511yescharacteristic
436C2×C11#234211yescharacteristic
437C2×C11#234311yescharacteristic
438C2×C11D4×C4⋊C411yescharacteristic
439C2×C11#234911yescharacteristic
440C2×C11#235812yes—
441C2×C11#235912yes—
442C2×C11#236012yes—
443C2×C11#236812yes—
444D11—28no—
445C24—112no—
446C24—114no—
447C24—112no—
448C24—112no—
449C24—114no—
450C24—221no—
451C24—221no—
452C24—222no—
453C24—221no—
454C24—222no—
455C24—221no—
456C24C23×D1111yescharacteristic
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—112no—
479C22×C4—112no—
480C22×C4—114no—
481C22×C4—114no—
482C22×C4—114no—
483C22×C4—112no—
484C22×C4—112no—
485C22×C4—114no—
486C22×C4—112no—
487C22×C4—114no—
488C22×C4—2216no—
489C22×C4—228no—
490C22×C4—2216no—
491C22×C4—222no—
492C22×C4—222no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—221no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—222no—
502C22×C4—222no—
503C22×C4—221no—
504C22×C4—222no—
505C22×C4—222no—
506C22×C4—222no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—222no—
510C22×C4—228no—
511C22×C4—444no—
512C22×C4—448no—
513C22×C4—448no—
514C22×C4—448no—
515C22×C4—448no—
516C22×C4—448no—
517C22×C4—448no—
518C22×C4—448no—
519C22×C4C2×C4×D1114yes—
520C22×C4C2×C4×D1114yes—
521C22×C4C2×C4×D1112yes—
522C22×C4C2×C4×D1114yes—
523C22×C4C2×C4×D1112yes—
524C22×C4C2×C4×D1112yes—
525C22×C4D4×D1112yes—
526C22×C4D4×D1112yes—
527C22×C4#434112yes—
528C22×C4Q8×D1112yes—
529C4⋊C4—2216no—
530C4⋊C4—448no—
531C22⋊C4—1116no—
532C22⋊C4—1116no—
533C22⋊C4—2216no—
534C42—28no—
535C42—444no—
536C42—448no—
537C42—448no—
538C11#1381411yescharacteristic, complemented, Sylow
539C23—114no—
540C23—114no—
541C23—114no—
542C23—118no—
543C23—118no—
544C23—224no—
545C23—224no—
546C23—222no—
547C23—224no—
548C23—222no—
549C23—222no—
550C23—224no—
551C23—222no—
552C23—224no—
553C23—224no—
554C23—222no—
555C23—222no—
556C23—222no—
557C23—222no—
558C23—224no—
559C23—224no—
560C23—224no—
561C23—224no—
562C23C22×C4×D1111yescharacteristic
563C23C22×C4×D1112yes—
564C23C2×D4×D1111yescharacteristic
565C23C2×D4×D1111yescharacteristic
566C23C2×#434111yescharacteristic
567C23C2×Q8×D1111yescharacteristic
568C23#41×D1112yes—
569C23#41×D1112yes—
570C23#6704211yescharacteristic
571C23#6704212yes—
572C23#6704311yescharacteristic
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—114no—
602C2×C4—114no—
603C2×C4—118no—
604C2×C4—224no—
605C2×C4—222no—
606C2×C4—222no—
607C2×C4—224no—
608C2×C4—224no—
609C2×C4—222no—
610C2×C4—224no—
611C2×C4—222no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—224no—
621C2×C4—222no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—4416no—
625C2×C4—4432no—
626C2×C4—442no—
627C2×C4—442no—
628C2×C4—442no—
629C2×C4—442no—
630C2×C4—442no—
631C2×C4—442no—
632C2×C4C42×D1114yes—
633C2×C4(C22⋊D11)⋊C414yes—
634C2×C4C4⋊C4×D1114yes—
635C22—118no—
636C22—228no—
637C22—228no—
638C22—224no—
639C22—224no—
640C22—224no—
641C22—224no—
642C22—224no—
643C22—224no—
644C22—228no—
645C22—228no—
646C22C2×C42×D1111yescharacteristic
647C22C2×(C22⋊D11)⋊C411yescharacteristic
648C22C2×C4⋊C4×D1111yescharacteristic
649C22D11×#11711yescharacteristic
650C22#1062305212yes—
651C22#1062305211yescharacteristic
652C22#1062305311yescharacteristic
653C22#1062305412yes—
654C22#1062305411yescharacteristic
655C22C4×#434112yes—
656C22C4×D4×D1112yes—
657C22C4×D4×D1112yes—
658C22C4×Q8×D1112yes—
659C22#1062314011yescharacteristic
660C22#1062314211yescharacteristic
661C22#1062316311yescharacteristic
662C22#1062316611yescharacteristic
663C22#1062318512yes—
664C22#1062318912yes—
665C22#1062320712yes—
666C22#1062322112yes—
667C22#1062323612yes—
668C22#1062323912yes—
669C4—24no—
670C4—24no—
671C4—24no—
672C4—44no—
673C4—44no—
674C4—224no—
675C4—224no—
676C4—228no—
677C4—442no—
678C4—444no—
679C2—228no—
680C2C4×C4⋊C4×D1111yescharacteristic
681C2C4×(C22⋊D11)⋊C411yescharacteristic
682C2#1307097811yescharacteristic
683C2#1307145811yescharacteristic
684C2#1307147311yescharacteristic
685C2#1307151211yescharacteristic
686C2#1307152411yescharacteristic
687C2#1307159412yes—
688C2#1307160712yes—
689C2#1307162412yes—
690C2#1307169812yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC22×C11C22×C42
FittingC11×#1434C2
socle, cosocleC24×C11C24
prime radicalC24×D11C23
hypercenter#1434D11
hypocenterC11#13814
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Dic11C2semidirect
6. #13066850C2semidirect
7. #13066847C2semidirect
8. Dic11⋊#95C2semidirect
10. #95×Dic11C2semidirect
11. C11×#1434C2semidirect
35. C4×(C2×D11)⋊C4C4semidirect
37. #10622281C4semidirect
65. C2×C42×C11C2×C4semidirect
76. C2×C4⋊Dic11C2×C4semidirect
79. C2×Dic11⋊C4C2×C4semidirect
87. C2×C4×Dic11C2×C4semidirect
91. C11×#95C2×C4semidirect
96. C11⋊#95C2×C4semidirect
97. C11⋊#95C2×C4semidirect
98. C11⋊#95C2×C4semidirect
187. (C2×D11)⋊C4C42semidirect
188. (C2×D11)⋊C4C4⋊C4semidirect
202. #1434D11semidirect
362. C2×D11C4×C4⋊C4semidirect
420. C2×C42C4×D11semidirect
432. #95C4×D11semidirect
538. C11#13814semidirect

Maximal subgroups

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

subgroupindex
C2×#106222812
C2×C4×C4⋊Dic112
C2×C4×(C2×D11)⋊C42
C2×#106222792
C2×D11×#952
#130668502
#130668472
Dic11⋊#952
(C2×D11)⋊#952
#95×Dic112
C11×#14342
#1381411