Finite Group Databasebeta

← #14914059

Subgroups — #14914059

Order 2816.

3534 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623359C211yesmaximal, characteristic
2C2×#10623358C211yesmaximal, characteristic, complemented
3C22×C4⋊C4×D11C211yesmaximal, characteristic, complemented
4#13071637C214yesmaximal, complemented
5#13071626C214yesmaximal, complemented
6#13071538C214yesmaximal, complemented
7#13071512C214yesmaximal, complemented
8#13071290C214yesmaximal, complemented
9#13071240C211yesmaximal, characteristic, complemented
10#13071121C214yesmaximal, complemented
11#13070995C211yesmaximal, characteristic, complemented
12#13070972C211yesmaximal, characteristic, complemented
13C11×#2311C211yesmaximal, characteristic, complemented
14C22×C11×#41C2211yescharacteristic
15C23×C4×D11C2211yescharacteristic
16C23×C4×D11C2212yes—
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19#10623359C4116yescomplemented
20#10623358—28no—
21C2×#66999C2212yes—
22C2×Q8×Dic11C2212yescomplemented
23C2×#66991C2212yes—
24C2×#66990C2212yes—
25C2×#66988C2212yes—
26C2×D4×Dic11C2214yes—
27C2×D4×Dic11C2212yescomplemented
28C2×C4×C22⋊D11C2214yes—
29C2×#66979C2211yescharacteristic
30C2×#66979C2211yescharacteristic
31C2×#66979C2212yescomplemented
32C22×C4⋊Dic11C2211yescharacteristic
33C22×C4⋊Dic11C2212yescomplemented
34C22×Dic11⋊C4C2212yes—
35C2×C4⋊C4×D11—28no—
36C2×C4⋊C4×D11C2214yes—
37C2×C4⋊C4×D11C2214yes—
38C2×(C22⋊D11)⋊C4C2218yes—
39C11×#391C2212yescomplemented
40C11×#390C2212yescomplemented
41C11×#386C2214yes—
42C11×#380C2214yescomplemented
43#10622823C2214yes—
44#10622600C2212yes—
45#10622600C2212yes—
46#10622590C2212yescomplemented
47#10622589C2212yescomplemented
48C4⋊C4×Dic11C2214yescomplemented
49#10622586C2214yescomplemented
50#10622569C2218yes—
51#10622568C2212yes—
52#10622559C2218yescomplemented
53#10622557C2218yescomplemented
54#10622556C2212yes—
55C22⋊C4×Dic11C2214yes—
56C4×(C2×D11)⋊C4C2214yes—
57C4×C4⋊Dic11C2214yescomplemented
58#10622281C2218yes—
59#10622279C2218yes—
60#10622265C2218yescomplemented
61#10622260C2218yescomplemented
62C24×D11C2311yescharacteristic
63C2×C11×#41—24no—
64C2×C11×#41—24no—
65C2×C11×#41C2×C418yescomplemented
66C22×Q8×C11C2311yescharacteristic
67C22×D4×C11C2312yes—
68C22×D4×C11C2311yescharacteristic
69C23×C4×C11C2312yes—
70C23×C4×C11C2312yes—
71C23×C4×C11C2311yescharacteristic
72C22×C22⋊D11C2314yes—
73C23×Dic11C2311yescharacteristic
74C23×Dic11C2314yes—
75C23×Dic11C2312yes—
76C22×C4×D11—24no—
77C22×C4×D11—24no—
78C22×C4×D11—28no—
79C22×C4×D11—48no—
80C22×C4×D11C2×C418yescomplemented
81C22×C4×D11C2318yes—
82C22×C4×D11C2312yes—
83C22×C4×D11C2312yes—
84C11×#117—24no—
85C2×C11×C4⋊C4—24no—
86C2×C11×C4⋊C4C2312yes—
87C2×C11×C4⋊C4C2312yes—
88C2×C11×C4⋊C4C2312yes—
89C2×C11×C22⋊C4C2312yes—
90C2×C11×C22⋊C4C2318yes—
91C2×C42×C11C2312yes—
92C2×C22⋊Dic11C2312yes—
93C2×C22⋊Dic11C2314yes—
94C2×C22⋊Dic11C2312yes—
95C2×C22⋊Dic11C2314yes—
96#66999C2×C4116yescomplemented
97Q8×Dic11—28no—
98#66991C2×C4116yescomplemented
99#66990C2×C4116yescomplemented
100#66988C2×C4116yescomplemented
101D4×Dic11—216no—
102D4×Dic11—28no—
103C4×C22⋊D11C2×C4132yescomplemented
104C2×(C2×D11)⋊C4C2314yes—
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2314yes—
107#66979—24no—
108#66979—28no—
109#66979C2×C418yescomplemented
110C2×C4⋊Dic11—28no—
111C2×C4⋊Dic11D418yescomplemented
112C2×C4⋊Dic11C2314yes—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×Dic11⋊C4—28no—
119C2×Dic11⋊C4C2318yes—
120C2×Dic11⋊C4C2318yes—
121C2×Dic11⋊C4C2314yes—
122C2×C4×Dic11C2314yes—
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2318yes—
125C2×C4×Dic11C2312yes—
126C4⋊C4×D11—216no—
127C4⋊C4×D11—216no—
128(C22⋊D11)⋊C4—416no—
129C11×#95C2318yes—
130C11⋊#95C2314yes—
131C11⋊#95C2314yes—
132C11⋊#95C2318yes—
133C11⋊#95C2318yes—
134#34200—111nomaximal, Sylow
135C24×C11C2412yes—
136C24×C11C2411yescharacteristic
137C23×D11—22no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11C22×C414yes—
142C23×D11C2412yes—
143C11×#41—232no—
144C2×Q8×C11—22no—
145C2×Q8×C11—22no—
146C2×Q8×C11C22×C414yescomplemented
147C2×D4×C11—24no—
148C2×D4×C11—24no—
149C2×D4×C11—22no—
150C2×D4×C11—22no—
151C2×D4×C11C22×C418yes—
152C2×D4×C11C22×C414yescomplemented
153C22×C4×C11—24no—
154C22×C4×C11—24no—
155C22×C4×C11—24no—
156C22×C4×C11—44no—
157C22×C4×C11C22×C414yes—
158C22×C4×C11C22×C418yescomplemented
159C22×C4×C11C2×D414yes—
160C22×C4×C11#4114yes—
161C22×C4×C11C2414yes—
162C22×C4×C11C2414yes—
163C22×C4×C11C2412yes—
164C22×C4×C11C2411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C2×C22⋊D11—28no—
167C2×C22⋊D11—28no—
168C2×C22⋊D11C22×C4116yes—
169C22×Dic11—28no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—44no—
173C22×Dic11—48no—
174C22×Dic11C22×C414yes—
175C22×Dic11C2×D418yes—
176C22×Dic11C2412yes—
177C22×Dic11C2412yes—
178C22×Dic11C2414yes—
179C22×Dic11C2412yes—
180C22×Dic11C2414yes—
181C2×C4×D11—216no—
182C2×C4×D11—216no—
183C2×C4×D11—232no—
184C2×C4×D11—24no—
185C2×C4×D11—24no—
186C2×C4×D11—24no—
187C2×C4×D11—24no—
188C2×C4×D11—48no—
189C2×C4×D11—432no—
190C2×C4×D11C22×C418yes—
191C2×C4×D11C22×C418yes—
192C11×C4⋊C4—24no—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—24no—
195C11×C22⋊C4—24no—
196C11×C22⋊C4—48no—
197C42×C11—24no—
198C22⋊Dic11—28no—
199C22⋊Dic11—24no—
200C22⋊Dic11C22×C418yes—
201C22⋊Dic11C22×C4116yescomplemented
202(C2×D11)⋊C4—28no—
203(C2×D11)⋊C4—28no—
204(C2×D11)⋊C4C22×C4116yes—
205C4⋊Dic11—28no—
206C4⋊Dic11—22no—
207C4⋊Dic11—22no—
208C4⋊Dic11C22×C418yescomplemented
209C4⋊Dic11C2×D418yes—
210C4⋊Dic11C2×D418yes—
211Dic11⋊C4—216no—
212Dic11⋊C4—48no—
213Dic11⋊C4C22×C4116yescomplemented
214C4×Dic11—28no—
215C4×Dic11—24no—
216C4×Dic11—48no—
217C4×Dic11C22×C418yescomplemented
218C2×#525—111no—
219C2×#520—111no—
220C23×C4⋊C4—111no—
221#2361—114no—
222#2360—114no—
223#2352—114no—
224D4×C4⋊C4—114no—
225#2322—114no—
226#2317—111no—
227#2311D1111yescharacteristic, complemented
228C4×#120—114no—
229#2280—111no—
230#2274—111no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11C23×C414yes—
238C23×C11C23×C412yes—
239C23×C11C22×D412yes—
240C23×C11C2×#4112yes—
241C23×C11C2511yescharacteristic
242C22×D11—28no—
243C22×D11—28no—
244C22×D11—216no—
245C22×D11—28no—
246C22×D11—22no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—22no—
250C22×D11—216no—
251C22×D11C23×C414yes—
252C22×D11H(5,𝔽2)14yes—
253C22×D112−1+414yes—
254Q8×C11—28no—
255D4×C11—216no—
256D4×C11—28no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—216no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—24no—
263C2×C4×C11—28no—
264C2×C4×C11—24no—
265C2×C4×C11—48no—
266C2×C4×C11C4×D4116yescomplemented
267C2×C4×C11C23×C414yes—
268C2×C4×C11C23×C412yes—
269C2×C4×C11C23×C412yes—
270C2×C4×C11C22×D412yes—
271C2×C4×C11C22×D412yes—
272C2×C4×C11C2×#4112yes—
273C2×C4×C11C2×#4112yes—
274C22⋊D11—232no—
275C2×Dic11—28no—
276C2×Dic11—22no—
277C2×Dic11—22no—
278C2×Dic11—24no—
279C2×Dic11—28no—
280C2×Dic11—24no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—48no—
286C2×Dic11—88no—
287C2×Dic11C23×C418yes—
288C2×Dic11C23×C414yes—
289C2×Dic11C22×D418yes—
290C4×D11—216no—
291C4×D11—216no—
292C4×D11—432no—
293C22×#41C2×D1111yescharacteristic
294C24×C4—111no—
295C24×C4—112no—
296#525—1116no—
297C2×#123—112no—
298C2×C22⋊Q8—112no—
299C2×#121—112no—
300C2×#120—112no—
301#520—228no—
302C2×C4×Q8—112no—
303C2×C4×D4—114no—
304C2×C4×D4—114no—
305C2×C4×D4—112no—
306C2×C4×D4—118no—
307C2×#117—111no—
308C2×#117—111no—
309C2×#117—112no—
310C2×#117C2×D1111yescharacteristic
311C22×C4⋊C4—111no—
312C22×C4⋊C4—112no—
313C22×C4⋊C4—112no—
314C22×C4⋊C4—114no—
315C22×C4⋊C4—114no—
316C22×C4⋊C4—228no—
317C22×C4⋊C4C2×D1111yescharacteristic
318#391C2×D1112yescomplemented
319#390C2×D1112yescomplemented
320#389—114no—
321#389—118no—
322#388—118no—
323#387—118no—
324#386—118no—
325#386C2×D1114yes—
326#385—114no—
327#385—118no—
328#385—118no—
329#384—112no—
330#382—112no—
331#381—112no—
332#380—112no—
333#380—112no—
334#380C2×D1114yescomplemented
335#379—112no—
336C4×C4⋊C4—114no—
337C4×C4⋊C4—114no—
338C4×C22⋊C4—114no—
339C4×C22⋊C4—114no—
340C4×C22⋊C4—118no—
341C22×C11—24no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—24no—
345C22×C11—24no—
346C22×C11—28no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11—44no—
350C22×C11C2×C4×D414yes—
351C22×C11C24×C411yescharacteristic
352C22×C11C23×D411yescharacteristic
353C22×C11C22×#4111yescharacteristic
354C22×C11C2×H(5,𝔽2)12yes—
355C22×C11C2×2−1+412yes—
356C2×D11—232no—
357C2×D11—24no—
358C2×D11—24no—
359C2×D11—24no—
360C2×D11—24no—
361C2×D11—24no—
362C2×D11—24no—
363C2×D11#52018yescomplemented
364C4×C11—24no—
365C4×C11—44no—
366C4×C11—44no—
367C4×C11C2×C4×D414yes—
368C4×C11C2×C4×D414yes—
369Dic11—24no—
370Dic11—28no—
371Dic11—28no—
372Dic11—42no—
373Dic11—42no—
374C25—111no—
375C2×#41—24no—
376C2×#41—24no—
377C2×#41C4×D1118yescomplemented
378C22×Q8C22×D1111yescharacteristic
379C22×D4—114no—
380C22×D4C22×D1112yes—
381C22×D4C22×D1111yescharacteristic
382C23×C4—111no—
383C23×C4—112no—
384C23×C4—118no—
385C23×C4—112no—
386C23×C4—112no—
387C23×C4—114no—
388C23×C4—118no—
389C23×C4—228no—
390C23×C4—224no—
391C23×C4—224no—
392C23×C4—448no—
393C23×C4C22×D1112yes—
394C23×C4C22×D1112yes—
395C23×C4C22×D1111yescharacteristic
396#123—1116no—
397C22⋊Q8—1116no—
398#121—1116no—
399#120—1116no—
400C4×Q8—228no—
401C4×D4—1132no—
402C4×D4—228no—
403C4×D4—2216no—
404C4×D4—4416no—
405#117—24no—
406#117—118no—
407#117—228no—
408#117—224no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—118no—
411C2×C4⋊C4—112no—
412C2×C4⋊C4—112no—
413C2×C4⋊C4—112no—
414C2×C4⋊C4—114no—
415C2×C4⋊C4—118no—
416C2×C4⋊C4—111no—
417C2×C4⋊C4—114no—
418C2×C4⋊C4—111no—
419C2×C4⋊C4—118no—
420C2×C4⋊C4—2216no—
421C2×C4⋊C4—2216no—
422C2×C4⋊C4—228no—
423C2×C4⋊C4—228no—
424C2×C4⋊C4C22×D1112yes—
425C2×C4⋊C4C22×D1112yes—
426C2×C4⋊C4C22×D1112yes—
427C2×C22⋊C4—112no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—112no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4C22×D1112yes—
435C2×C22⋊C4C22×D1118yes—
436C2×C42—112no—
437C2×C42—114no—
438C2×C42—112no—
439C2×C42—118no—
440C2×C42C22×D1112yes—
441#95—118no—
442#95—114no—
443#95—114no—
444#95—118no—
445#95C22×D1118yes—
446C2×C11—24no—
447C2×C11—44no—
448C2×C11C22×C4×D411yescharacteristic
449C2×C11C2×#52012yes—
450C2×C11#348411yescharacteristic
451C2×C11#348611yescharacteristic
452C2×C11#349212yes—
453D11—28no—
454C24—112no—
455C24—114no—
456C24—224no—
457C24—224no—
458C24—222no—
459C24—222no—
460C24C23×D1112yes—
461C24C23×D1111yescharacteristic
462#41—232no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8C2×C4×D1114yescomplemented
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—1116no—
471C2×D4—228no—
472C2×D4—228no—
473C2×D4C2×C4×D1118yes—
474C2×D4C2×C4×D1114yescomplemented
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—44no—
479C22×C4—114no—
480C22×C4—114no—
481C22×C4—112no—
482C22×C4—114no—
483C22×C4—118no—
484C22×C4—118no—
485C22×C4—118no—
486C22×C4—112no—
487C22×C4—112no—
488C22×C4—2216no—
489C22×C4—2216no—
490C22×C4—228no—
491C22×C4—222no—
492C22×C4—222no—
493C22×C4—2232no—
494C22×C4—224no—
495C22×C4—224no—
496C22×C4—224no—
497C22×C4—224no—
498C22×C4—448no—
499C22×C4—4432no—
500C22×C4—444no—
501C22×C4—448no—
502C22×C4C2×C4×D1114yes—
503C22×C4C2×C4×D1118yescomplemented
504C22×C4D4×D1114yes—
505C22×C4#434114yes—
506C22×C4C23×D1114yes—
507C22×C4C23×D1114yes—
508C22×C4C23×D1112yes—
509C22×C4C23×D1111yescharacteristic
510C22×C4C23×D1111yescharacteristic
511C4⋊C4—24no—
512C4⋊C4—24no—
513C4⋊C4—24no—
514C4⋊C4—118no—
515C4⋊C4—1116no—
516C4⋊C4—118no—
517C4⋊C4—118no—
518C4⋊C4—2216no—
519C4⋊C4—228no—
520C4⋊C4—222no—
521C4⋊C4—222no—
522C4⋊C4—448no—
523C22⋊C4—24no—
524C22⋊C4—48no—
525C22⋊C4—118no—
526C22⋊C4—1116no—
527C22⋊C4—1116no—
528C22⋊C4—228no—
529C22⋊C4—228no—
530C22⋊C4—228no—
531C22⋊C4—224no—
532C42—24no—
533C42—118no—
534C42—228no—
535C42—224no—
536C42—448no—
537C11#3420011yescharacteristic, complemented, Sylow
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—24no—
544C23—114no—
545C23—114no—
546C23—114no—
547C23—2216no—
548C23—228no—
549C23—228no—
550C23—2216no—
551C23—228no—
552C23—222no—
553C23—222no—
554C23—222no—
555C23—222no—
556C23C22×C4×D1114yes—
557C23C22×C4×D1112yes—
558C23C2×D4×D1112yes—
559C23C2×#434112yes—
560C23C24×D1111yescharacteristic
561Q8—28no—
562D4—216no—
563D4—28no—
564D4—2232no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—216no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—28no—
572C2×C4—24no—
573C2×C4—48no—
574C2×C4—118no—
575C2×C4—114no—
576C2×C4—118no—
577C2×C4—228no—
578C2×C4—222no—
579C2×C4—222no—
580C2×C4—224no—
581C2×C4—228no—
582C2×C4—224no—
583C2×C4—2216no—
584C2×C4—2216no—
585C2×C4—222no—
586C2×C4—222no—
587C2×C4—224no—
588C2×C4—224no—
589C2×C4—4432no—
590C2×C4—448no—
591C2×C4—888no—
592C2×C4(C22⋊D11)⋊C4116yescomplemented
593C2×C4C22×C4×D1114yes—
594C2×C4C22×C4×D1112yes—
595C2×C4C22×C4×D1112yes—
596C2×C4C2×D4×D1112yes—
597C2×C4C2×D4×D1112yes—
598C2×C4C2×#434112yes—
599C2×C4C2×#434112yes—
600C22—22no—
601C22—22no—
602C22—24no—
603C22—24no—
604C22—24no—
605C22—28no—
606C22—42no—
607C22—42no—
608C22—44no—
609C22—118no—
610C22—2232no—
611C22—224no—
612C22—224no—
613C22—224no—
614C22—224no—
615C22—224no—
616C22—224no—
617C22C2×(C22⋊D11)⋊C414yes—
618C22C23×C4×D1111yescharacteristic
619C22C22×D4×D1111yescharacteristic
620C22C22×#434111yescharacteristic
621C22D11×H(5,𝔽2)12yes—
622C22D11×2−1+412yes—
623C4—24no—
624C4—44no—
625C4—44no—
626C4—228no—
627C4—224no—
628C4—228no—
629C4—442no—
630C4—442no—
631C4C2×(C22⋊D11)⋊C414yes—
632C4C2×(C22⋊D11)⋊C414yes—
633C2—24no—
634C2—44no—
635C2—228no—
636C2C22×(C22⋊D11)⋊C411yescharacteristic
637C2D11×#52012yes—
638C2#1308225011yescharacteristic
639C2#1308226511yescharacteristic
640C2#1308232312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2311C2
socle, cosocleC23×C11C25
prime radicalC2×#10623359C2
hypercenter#2311D11
hypocenterC11#34200
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2311

Complements

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

NH ≅ G/Ntype
2. C2×#10623358C2semidirect
3. C22×C4⋊C4×D11C2semidirect
4. #13071637C2semidirect
5. #13071626C2semidirect
6. #13071538C2semidirect
7. #13071512C2semidirect
8. #13071290C2semidirect
9. #13071240C2semidirect
10. #13071121C2semidirect
11. #13070995C2semidirect
12. #13070972C2semidirect
13. C11×#2311C2semidirect
19. #10623359C4semidirect
22. C2×Q8×Dic11C22semidirect
27. C2×D4×Dic11C22semidirect
31. C2×#66979C22semidirect
33. C22×C4⋊Dic11C22semidirect
39. C11×#391C22semidirect
40. C11×#390C22semidirect
42. C11×#380C22semidirect
46. #10622590C22semidirect
47. #10622589C22semidirect
48. C4⋊C4×Dic11C22semidirect
49. #10622586C22semidirect
52. #10622559C22semidirect
53. #10622557C22semidirect
57. C4×C4⋊Dic11C22semidirect
60. #10622265C22semidirect
61. #10622260C22semidirect
65. C2×C11×#41C2×C4semidirect
80. C22×C4×D11C2×C4semidirect
96. #66999C2×C4semidirect
98. #66991C2×C4semidirect
99. #66990C2×C4semidirect
100. #66988C2×C4semidirect
103. C4×C22⋊D11C2×C4semidirect
109. #66979C2×C4semidirect
111. C2×C4⋊Dic11D4semidirect
146. C2×Q8×C11C22×C4semidirect
152. C2×D4×C11C22×C4semidirect
158. C22×C4×C11C22×C4semidirect
201. C22⋊Dic11C22×C4semidirect
208. C4⋊Dic11C22×C4semidirect
213. Dic11⋊C4C22×C4semidirect
217. C4×Dic11C22×C4semidirect
227. #2311D11semidirect
266. C2×C4×C11C4×D4semidirect
318. #391C2×D11semidirect
319. #390C2×D11semidirect
334. #380C2×D11semidirect
363. C2×D11#520semidirect
377. C2×#41C4×D11semidirect
465. C2×Q8C2×C4×D11semidirect
474. C2×D4C2×C4×D11semidirect
503. C22×C4C2×C4×D11semidirect
537. C11#34200semidirect
592. C2×C4(C22⋊D11)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#106233592
C2×#106233582
C22×C4⋊C4×D112
#130716372
#130716262
#130715382
#130715122
#130712902
#130712402
#130711212
#130709952
#130709722
C11×#23112
#3420011