Finite Group Databasebeta

← #14914058

Subgroups — #14914058

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×#10623358C211yesmaximal, characteristic, complemented
2C23×C4⋊Dic11C211yesmaximal, characteristic, complemented
3#13071636C214yesmaximal, complemented
4#13071625C214yesmaximal, complemented
5#13071545C214yesmaximal, complemented
6D4×C4⋊Dic11C214yesmaximal, complemented
7#13071288C214yesmaximal, complemented
8#13071239C211yesmaximal, characteristic, complemented
9#13071208C211yesmaximal, characteristic, complemented
10#120×Dic11C214yesmaximal, complemented
11#13070999C211yesmaximal, characteristic, complemented
12#13070972C211yesmaximal, characteristic, complemented
13C2×C11×#525C211yesmaximal, characteristic
14C22×C11×#41C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C24×Dic11C2212yes—
17C11×#525C4116yescomplemented
18C2×C11×#123C2212yes—
19C2×C11×C22⋊Q8C2212yes—
20C2×C11×#121C2212yes—
21C2×C11×#120C2212yes—
22C2×C4×D4×C11C2214yes—
23C2×C11×#117C2211yescharacteristic
24#10623358—28no—
25C2×Q8×Dic11C2212yescomplemented
26C2×D4×Dic11C2214yes—
27C2×D4×Dic11C2218yes—
28C2×D4×Dic11C2212yescomplemented
29C2×#66979C2211yescharacteristic
30C2×#66979C2211yescharacteristic
31C2×#66979C2212yescomplemented
32C22×C4⋊Dic11—28no—
33C22×C4⋊Dic11C2214yes—
34C22×C4⋊Dic11C2211yescharacteristic
35C22×C4⋊Dic11C2214yes—
36C22×C4⋊Dic11C2212yes—
37C22×C4⋊Dic11C2211yescharacteristic
38C22×C4⋊Dic11C2212yescomplemented
39#10622860C2212yes—
40#10622843C2212yescomplemented
41#10622834C2212yescomplemented
42#10622833C2218yes—
43#10622833C2214yes—
44#10622825C2212yes—
45#10622825C2212yes—
46#10622825C2214yescomplemented
47#10622824C2212yes—
48C4×C22⋊Dic11C2214yes—
49#10622598C2214yescomplemented
50#10622598C2218yescomplemented
51#10622594C2218yescomplemented
52C4⋊C4×Dic11C2214yescomplemented
53#10622564C2218yescomplemented
54#10622563C2218yes—
55#10622563C2214yes—
56#10622563C2218yescomplemented
57C22⋊C4×Dic11C2218yes—
58C22⋊C4×Dic11C2214yes—
59#10622549C2212yescomplemented
60#10622548C2212yescomplemented
61C4×C4⋊Dic11C2214yescomplemented
62C25×C11C2311yescharacteristic
63C2×C11×#41—24no—
64C2×C11×#41—24no—
65C2×C11×#41C2×C418yescomplemented
66C22×Q8×C11C2311yescharacteristic
67C22×D4×C11C2314yes—
68C22×D4×C11C2312yes—
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—24no—
71C23×C4×C11—24no—
72C23×C4×C11C2×C418yescomplemented
73C23×C4×C11C2312yes—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2312yes—
76C23×C4×C11C2312yes—
77C23×C4×C11C2311yescharacteristic
78C23×Dic11—28no—
79C23×Dic11—48no—
80C23×Dic11C2318yes—
81C23×Dic11C2312yes—
82C23×Dic11C2314yes—
83C23×Dic11C2312yes—
84C11×#123C2×C4116yescomplemented
85C11×C22⋊Q8C2×C4116yescomplemented
86C11×#121C2×C4116yescomplemented
87C11×#120C2×C4116yescomplemented
88C4×D4×C11C2×C4132yescomplemented
89C11×#117C2×C418yescomplemented
90C2×C11×C4⋊C4C2312yes—
91C2×C11×C4⋊C4C2314yes—
92C2×C11×C22⋊C4C2312yes—
93C2×C11×C22⋊C4C2314yes—
94C2×C11×C22⋊C4C2314yes—
95C2×C42×C11C2312yes—
96C2×C22⋊Dic11C2312yes—
97C2×C22⋊Dic11C2312yes—
98C2×C22⋊Dic11C2314yes—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2318yes—
102Q8×Dic11—28no—
103D4×Dic11—216no—
104D4×Dic11—28no—
105D4×Dic11—416no—
106#66979—24no—
107#66979—24no—
108#66979—28no—
109C2×C4⋊Dic11—24no—
110C2×C4⋊Dic11—28no—
111C2×C4⋊Dic11—216no—
112C2×C4⋊Dic11—216no—
113C2×C4⋊Dic11—28no—
114C2×C4⋊Dic11D418yescomplemented
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2318yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2314yes—
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2318yes—
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2318yes—
129C11⋊#95C2318yes—
130C11⋊#95C2318yes—
131C11⋊#95C2318yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134#34200—111nomaximal, Sylow
135C24×C11—22no—
136C24×C11—22no—
137C24×C11—24no—
138C24×C11—24no—
139C24×C11C22×C414yes—
140C24×C11C2412yes—
141C24×C11C2411yescharacteristic
142C24×C11C2412yes—
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—28no—
150C2×D4×C11—28no—
151C2×D4×C11—22no—
152C2×D4×C11—22no—
153C2×D4×C11C22×C4116yes—
154C2×D4×C11C22×C418yes—
155C2×D4×C11C22×C414yescomplemented
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—232no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11C22×C418yes—
166C22×C4×C11C22×C418yes—
167C22×C4×C11C22×C414yes—
168C22×C4×C11C22×C414yes—
169C22×C4×C11C22×C418yescomplemented
170C22×C4×C11C2×D414yes—
171C22×C4×C11#4114yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×Dic11—216no—
178C22×Dic11—28no—
179C22×Dic11—24no—
180C22×Dic11—216no—
181C22×Dic11—44no—
182C22×Dic11—48no—
183C22×Dic11—44no—
184C22×Dic11—48no—
185C22×Dic11—432no—
186C22×Dic11C2×D418yes—
187C22×Dic11C2412yes—
188C22×Dic11C2414yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C22×Dic11C2414yes—
192C11×C4⋊C4C22×C418yescomplemented
193C11×C4⋊C4C22×C4116yescomplemented
194C11×C22⋊C4C22×C418yes—
195C11×C22⋊C4C22×C4116yes—
196C11×C22⋊C4C22×C4116yescomplemented
197C42×C11C22×C418yescomplemented
198C22⋊Dic11—28no—
199C22⋊Dic11—24no—
200C22⋊Dic11—24no—
201C22⋊Dic11—28no—
202C22⋊Dic11—28no—
203C22⋊Dic11—48no—
204C4⋊Dic11—216no—
205C4⋊Dic11—28no—
206C4⋊Dic11—24no—
207C4⋊Dic11—24no—
208C4⋊Dic11—22no—
209C4⋊Dic11—22no—
210C4⋊Dic11—24no—
211C4⋊Dic11—48no—
212C4⋊Dic11C2×D418yes—
213C4⋊Dic11C2×D418yes—
214C4×Dic11—28no—
215C4×Dic11—24no—
216C4×Dic11—24no—
217C4×Dic11—48no—
218C2×#525D1111yescharacteristic
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#2311—111no—
228C4×#120—114no—
229#2280—111no—
230#2274—111no—
231C23×C11—28no—
232C23×C11—28no—
233C23×C11—216no—
234C23×C11—28no—
235C23×C11—216no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11C23×C414yes—
247C23×C11C23×C412yes—
248C23×C11C23×C414yes—
249C23×C11C22×D412yes—
250C23×C11C2×#4112yes—
251C23×C11H(5,𝔽2)14yes—
252C23×C112−1+414yes—
253C23×C11C2511yescharacteristic
254Q8×C11—28no—
255D4×C11—216no—
256D4×C11—232no—
257D4×C11—28no—
258C2×C4×C11—28no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—24no—
265C2×C4×C11—216no—
266C2×C4×C11—216no—
267C2×C4×C11—216no—
268C2×C4×C11C4×D4116yescomplemented
269C2×C4×C11C23×C418yes—
270C2×C4×C11C23×C414yes—
271C2×C4×C11C23×C414yes—
272C2×C4×C11C23×C412yes—
273C2×C4×C11C23×C412yes—
274C2×C4×C11C22×D412yes—
275C2×C4×C11C22×D412yes—
276C2×C4×C11C2×#4112yes—
277C2×C4×C11C2×#4112yes—
278C2×Dic11—28no—
279C2×Dic11—22no—
280C2×Dic11—22no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—28no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—48no—
289C2×Dic11—432no—
290C2×Dic11—48no—
291C2×Dic11—88no—
292C2×Dic11C22×D418yes—
293C22×#41C2×D1111yescharacteristic
294C24×C4—112no—
295C24×C4C2×D1111yescharacteristic
296#525Dic11116yescomplemented
297C2×#123C2×D1112yes—
298C2×C22⋊Q8C2×D1112yes—
299C2×#121C2×D1112yes—
300C2×#120C2×D1112yes—
301#520—228no—
302C2×C4×Q8—112no—
303C2×C4×D4—114no—
304C2×C4×D4—112no—
305C2×C4×D4—118no—
306C2×C4×D4C2×D1114yes—
307C2×#117—111no—
308C2×#117—111no—
309C2×#117—112no—
310C2×#117C2×D1111yescharacteristic
311C22×C4⋊C4—111no—
312C22×C4⋊C4—111no—
313C22×C4⋊C4—112no—
314C22×C4⋊C4—112no—
315C22×C4⋊C4—114no—
316C22×C4⋊C4—114no—
317C22×C4⋊C4—228no—
318#391—112no—
319#390—112no—
320#389—114no—
321#389—118no—
322#388—118no—
323#387—118no—
324#386—114no—
325#386—118no—
326#385—114no—
327#385—118no—
328#385—118no—
329#384—112no—
330#382—112no—
331#381—112no—
332#380—114no—
333#380—112no—
334#380—112no—
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—232no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—24no—
345C22×C11—22no—
346C22×C11—24no—
347C22×C11—22no—
348C22×C11—24no—
349C22×C11—24no—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—24no—
353C22×C11—28no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—44no—
357C22×C11C2×C4×D414yes—
358C22×C11#52018yescomplemented
359C22×C11C24×C411yescharacteristic
360C22×C11C23×D411yescharacteristic
361C22×C11C22×#4111yescharacteristic
362C22×C11C2×H(5,𝔽2)12yes—
363C22×C11C2×2−1+412yes—
364C4×C11—24no—
365C4×C11—24no—
366C4×C11—28no—
367C4×C11C2×C4×D414yes—
368C4×C11C2×C4×D414yes—
369Dic11—28no—
370Dic11—44no—
371Dic11—42no—
372Dic11—42no—
373Dic11—44no—
374C25C22×D1111yescharacteristic
375C2×#41—24no—
376C2×#41—24no—
377C2×#41C2×Dic1118yescomplemented
378C22×Q8C22×D1111yescharacteristic
379C22×D4C22×D1114yes—
380C22×D4C22×D1112yes—
381C22×D4C22×D1111yescharacteristic
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—112no—
385C23×C4—118no—
386C23×C4—112no—
387C23×C4—114no—
388C23×C4—228no—
389C23×C4—448no—
390C23×C4C2×Dic1118yescomplemented
391C23×C4C22×D1112yes—
392C23×C4C22×D1112yes—
393C23×C4C22×D1111yescharacteristic
394C23×C4C22×D1112yes—
395C23×C4C22×D1111yescharacteristic
396#123C2×Dic11116yescomplemented
397C22⋊Q8C2×Dic11116yescomplemented
398#121C2×Dic11116yescomplemented
399#120C2×Dic11116yescomplemented
400C4×Q8—228no—
401C4×D4—228no—
402C4×D4—2216no—
403C4×D4—4416no—
404C4×D4C2×Dic11132yescomplemented
405#117—228no—
406#117—224no—
407#117—224no—
408#117C2×Dic1118yescomplemented
409C2×C4⋊C4—118no—
410C2×C4⋊C4—112no—
411C2×C4⋊C4—112no—
412C2×C4⋊C4—112no—
413C2×C4⋊C4—118no—
414C2×C4⋊C4—112no—
415C2×C4⋊C4—111no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—111no—
418C2×C4⋊C4—112no—
419C2×C4⋊C4—118no—
420C2×C4⋊C4—2216no—
421C2×C4⋊C4—2216no—
422C2×C4⋊C4—228no—
423C2×C4⋊C4—228no—
424C2×C4⋊C4—224no—
425C2×C4⋊C4C22×D1112yes—
426C2×C4⋊C4C22×D1114yes—
427C2×C22⋊C4—112no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—112no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4C22×D1112yes—
434C2×C22⋊C4C22×D1114yes—
435C2×C22⋊C4C22×D1114yes—
436C2×C42—114no—
437C2×C42—112no—
438C2×C42—112no—
439C2×C42—118no—
440C2×C42C22×D1112yes—
441#95—118no—
442#95—114no—
443#95—114no—
444#95—118no—
445#95—118no—
446C2×C11—24no—
447C2×C11—28no—
448C2×C11—44no—
449C2×C11C22×C4×D411yescharacteristic
450C2×C11C2×#52012yes—
451C2×C11#348411yescharacteristic
452C2×C11#348611yescharacteristic
453C2×C11#349212yes—
454C24—22no—
455C24—22no—
456C24—24no—
457C24—24no—
458C24C22×Dic1114yes—
459C24C23×D1112yes—
460C24C23×D1111yescharacteristic
461C24C23×D1112yes—
462#41—232no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8C22×Dic1114yescomplemented
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—28no—
469C2×D4—28no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4C22×Dic11116yes—
473C2×D4C22×Dic1118yes—
474C2×D4C22×Dic1114yescomplemented
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—232no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—114no—
485C22×C4—118no—
486C22×C4—112no—
487C22×C4—114no—
488C22×C4—114no—
489C22×C4—112no—
490C22×C4—2216no—
491C22×C4—228no—
492C22×C4—224no—
493C22×C4—2216no—
494C22×C4—444no—
495C22×C4—448no—
496C22×C4—444no—
497C22×C4—448no—
498C22×C4—4432no—
499C22×C4D4×D1114yes—
500C22×C4#434114yes—
501C22×C4C22×Dic1118yes—
502C22×C4C22×Dic1118yes—
503C22×C4C22×Dic1114yes—
504C22×C4C22×Dic1114yes—
505C22×C4C22×Dic1118yescomplemented
506C22×C4C23×D1114yes—
507C22×C4C23×D1112yes—
508C22×C4C23×D1112yes—
509C22×C4C23×D1111yescharacteristic
510C22×C4C23×D1111yescharacteristic
511C4⋊C4—118no—
512C4⋊C4—118no—
513C4⋊C4—2216no—
514C4⋊C4—228no—
515C4⋊C4—224no—
516C4⋊C4—224no—
517C4⋊C4—222no—
518C4⋊C4—222no—
519C4⋊C4—224no—
520C4⋊C4—448no—
521C4⋊C4C22×Dic1118yescomplemented
522C4⋊C4C22×Dic11116yescomplemented
523C22⋊C4—228no—
524C22⋊C4—224no—
525C22⋊C4—224no—
526C22⋊C4—228no—
527C22⋊C4—228no—
528C22⋊C4—448no—
529C22⋊C4C22×Dic1118yes—
530C22⋊C4C22×Dic11116yes—
531C22⋊C4C22×Dic11116yescomplemented
532C42—228no—
533C42—224no—
534C42—224no—
535C42—448no—
536C42C22×Dic1118yescomplemented
537C11#3420011yescharacteristic, complemented, Sylow
538C23—28no—
539C23—28no—
540C23—216no—
541C23—28no—
542C23—216no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—24no—
552C23—24no—
553C23C2×D4×D1112yes—
554C23C2×#434112yes—
555C23#6704214yes—
556C23#6704314yes—
557C23C23×Dic1114yes—
558C23C23×Dic1112yes—
559C23C23×Dic1114yes—
560C23C24×D1111yescharacteristic
561Q8—28no—
562D4—216no—
563D4—232no—
564D4—28no—
565C2×C4—28no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—216no—
573C2×C4—216no—
574C2×C4—216no—
575C2×C4—118no—
576C2×C4—228no—
577C2×C4—222no—
578C2×C4—222no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—224no—
582C2×C4—224no—
583C2×C4—228no—
584C2×C4—224no—
585C2×C4—224no—
586C2×C4—448no—
587C2×C4—4432no—
588C2×C4—448no—
589C2×C4—888no—
590C2×C4D4×Dic11116yescomplemented
591C2×C4C2×D4×D1112yes—
592C2×C4C2×D4×D1112yes—
593C2×C4C2×#434112yes—
594C2×C4C2×#434112yes—
595C2×C4C23×Dic1118yes—
596C2×C4C23×Dic1114yes—
597C2×C4C23×Dic1114yes—
598C2×C4C23×Dic1112yes—
599C2×C4C23×Dic1112yes—
600C22—232no—
601C22—22no—
602C22—24no—
603C22—22no—
604C22—24no—
605C22—24no—
606C22—24no—
607C22—24no—
608C22—24no—
609C22—24no—
610C22—24no—
611C22—24no—
612C22—28no—
613C22—42no—
614C22—42no—
615C22—44no—
616C22C2×D4×Dic1114yes—
617C22#1062335818yescomplemented
618C22C22×D4×D1111yescharacteristic
619C22C22×#434111yescharacteristic
620C22C2×#6704212yes—
621C22C2×#6704312yes—
622C22C24×Dic1111yescharacteristic
623C4—24no—
624C4—24no—
625C4—28no—
626C4—228no—
627C4—444no—
628C4—442no—
629C4—442no—
630C4—444no—
631C4C2×D4×Dic1114yes—
632C4C2×D4×Dic1114yes—
633C2—24no—
634C2—28no—
635C2—44no—
636C2C22×D4×Dic1111yescharacteristic
637C2C2×#1062335812yes—
638C2#1308224911yescharacteristic
639C2#1308226311yescharacteristic
640C2#1308232212yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#525C2
socle, cosocleC23×C11C25
hypercenterC2×#525D11
hypocenterC11#34200
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#10623358C2semidirect
2. C23×C4⋊Dic11C2semidirect
3. #13071636C2semidirect
4. #13071625C2semidirect
5. #13071545C2semidirect
6. D4×C4⋊Dic11C2semidirect
7. #13071288C2semidirect
8. #13071239C2semidirect
9. #13071208C2semidirect
10. #120×Dic11C2semidirect
11. #13070999C2semidirect
12. #13070972C2semidirect
17. C11×#525C4semidirect
25. C2×Q8×Dic11C22semidirect
28. C2×D4×Dic11C22semidirect
31. C2×#66979C22semidirect
38. C22×C4⋊Dic11C22semidirect
40. #10622843C22semidirect
41. #10622834C22semidirect
46. #10622825C22semidirect
49. #10622598C22semidirect
50. #10622598C22semidirect
51. #10622594C22semidirect
52. C4⋊C4×Dic11C22semidirect
53. #10622564C22semidirect
56. #10622563C22semidirect
59. #10622549C22semidirect
60. #10622548C22semidirect
61. C4×C4⋊Dic11C22semidirect
65. C2×C11×#41C2×C4semidirect
72. C23×C4×C11C2×C4semidirect
84. C11×#123C2×C4semidirect
85. C11×C22⋊Q8C2×C4semidirect
86. C11×#121C2×C4semidirect
87. C11×#120C2×C4semidirect
88. C4×D4×C11C2×C4semidirect
89. C11×#117C2×C4semidirect
114. C2×C4⋊Dic11D4semidirect
146. C2×Q8×C11C22×C4semidirect
155. C2×D4×C11C22×C4semidirect
169. C22×C4×C11C22×C4semidirect
192. C11×C4⋊C4C22×C4semidirect
193. C11×C4⋊C4C22×C4semidirect
196. C11×C22⋊C4C22×C4semidirect
197. C42×C11C22×C4semidirect
268. C2×C4×C11C4×D4semidirect
296. #525Dic11semidirect
358. C22×C11#520semidirect
377. C2×#41C2×Dic11semidirect
390. C23×C4C2×Dic11semidirect
396. #123C2×Dic11semidirect
397. C22⋊Q8C2×Dic11semidirect
398. #121C2×Dic11semidirect
399. #120C2×Dic11semidirect
404. C4×D4C2×Dic11semidirect
408. #117C2×Dic11semidirect
465. C2×Q8C22×Dic11semidirect
474. C2×D4C22×Dic11semidirect
505. C22×C4C22×Dic11semidirect
521. C4⋊C4C22×Dic11semidirect
522. C4⋊C4C22×Dic11semidirect
531. C22⋊C4C22×Dic11semidirect
536. C42C22×Dic11semidirect
537. C11#34200semidirect
590. C2×C4D4×Dic11semidirect
617. C22#10623358semidirect

Maximal subgroups

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

subgroupindex
C2×#106233582
C23×C4⋊Dic112
#130716362
#130716252
#130715452
D4×C4⋊Dic112
#130712882
#130712392
#130712082
#120×Dic112
#130709992
#130709722
C2×C11×#5252
#3420011