Finite Group Databasebeta

← #14913729

Subgroups — #14913729

Order 2816.

2340 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×#10623263C211yesmaximal, characteristic
2#13071735C214yesmaximal, complemented
3#13071683C212yesmaximal
4#13071645C212yesmaximal, complemented
5#13071580C212yesmaximal, complemented
6#13071571C211yesmaximal, characteristic, complemented
7#13071563C211yesmaximal, characteristic
8#13071508C212yesmaximal, complemented
9C4⋊Q8×Dic11C211yesmaximal, characteristic, complemented
10#13071166C214yesmaximal, complemented
11#13071159C212yesmaximal
12#13071146C212yesmaximal, complemented
13C4×Q8×Dic11C212yesmaximal, complemented
14C4×#66940C211yesmaximal, characteristic, complemented
15C4×#66946C211yesmaximal, characteristic
16C4×#66945C212yesmaximal, complemented
17C11×#2365C211yesmaximal, characteristic, complemented
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2212yes—
20C2×#67000C2212yes—
21C2×Q8×Dic11C2212yes—
22C2×Q8×Dic11C2212yes—
23#10623263C4116yescomplemented
24C2×#66951C2214yes—
25C2×#66950C2212yes—
26C2×#66946C2211yescharacteristic
27C2×#66946C2211yescharacteristic
28C2×#66945C2212yes—
29C2×#66945C2212yes—
30C2×#66940C2211yescharacteristic
31C2×#66940C2211yescharacteristic
32C2×C4×D44C2211yescharacteristic
33C2×C42×D11C2212yes—
34C2×C4×Dic22C2211yescharacteristic
35C11×#391C2212yes—
36C11×#389C2212yes—
37C11×#387C2214yes—
38C4×C11×C4⋊C4C2212yes—
39C4×C11×C4⋊C4C2211yescharacteristic
40C4×C11×C4⋊C4C2211yescharacteristic
41#10622843C2212yes—
42#10622603C2214yes—
43#10622602C2214yes—
44#10622600C2212yes—
45#10622598C2212yes—
46#10622598C2212yes—
47#10622590C2212yes—
48C4⋊C4×Dic11C2214yes—
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2211yescharacteristic
53C4⋊C4×Dic11C2211yescharacteristic
54C4⋊C4×Dic11C2211yescharacteristic
55C4⋊C4×Dic11C2211yescharacteristic
56C4⋊C4×Dic11C2214yes—
57#10622553C2214yes—
58#10622552C2212yes—
59C4×(C2×D11)⋊C4C2212yes—
60C4×(C2×D11)⋊C4C2214yes—
61#10622548C2211yescharacteristic
62C4×C4⋊Dic11C2214yes—
63C4×C4⋊Dic11C2212yes—
64C4×C4⋊Dic11C2212yes—
65C4×Dic11⋊C4C2212yes—
66C42×Dic11C2212yes—
67C42×Dic11C2214yes—
68C42×Dic11C2211yescharacteristic
69#10622542C2212yes—
70#10622283C2214yes—
71#10622283C2214yes—
72#10622283C2214yes—
73#10622279C2214yes—
74#10622279C2214yes—
75#10622279C2212yes—
76#10622279C2212yes—
77#10622268C2214yes—
78#10622267C2214yes—
79#10622266C2214yes—
80#10622264C2214yes—
81#10622262C2212yes—
82#10622262C2212yes—
83#10622261C2214yes—
84C22×Q8×C11C2312yes—
85C22×D44C2311yescharacteristic
86C22×C4×D11C2312yes—
87C22×C4×D11C2312yes—
88C22×C4×D11C2312yes—
89C22×Dic22C2311yescharacteristic
90C11×C4⋊Q8C2×C418yescomplemented
91C4×Q8×C11—28no—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2314yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C42×C11C2312yes—
100C2×C42×C11C2312yes—
101C2×C42×C11C2314yes—
102C2×C42×C11C2311yescharacteristic
103#67000C2×C4116yes—
104Q8×Dic11—28no—
105Q8×Dic11C2×C4116yescomplemented
106C2×(C2×D11)⋊C4C2314yes—
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2312yes—
111C2×(C2×D11)⋊C4C2314yes—
112C2×(C2×D11)⋊C4C2314yes—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2314yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2314yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2312yes—
122C2×Dic11⋊C4C2312yes—
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2311yescharacteristic
128C2×C4×Dic11C2314yes—
129C2×C4×Dic11C2311yescharacteristic
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2311yescharacteristic
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2311yescharacteristic
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2314yes—
138C2×C4×Dic11C2311yescharacteristic
139C2×C4×Dic11C2311yescharacteristic
140#66951C2×C4132yescomplemented
141#66950C2×C4116yescomplemented
142#66946—24no—
143#66946—24no—
144#66945—28no—
145#66945C2×C4116yescomplemented
146#66940—24no—
147#66940—24no—
148C4×D44C2×C418yes—
149C42×D11—28no—
150C4×Dic22C2×C418yescomplemented
151C11×#95C2314yes—
152C11×#95C2312yes—
153C11×#95C2314yes—
154C11×#95C2312yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2312yes—
160C11⋊#95C2314yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2312yes—
165C4×#556—111nomaximal, Sylow
166C23×D11C2412yes—
167C2×Q8×C11—24no—
168C2×Q8×C11—24no—
169C2×Q8×C11C22×C418yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11C2411yescharacteristic
179C22×Dic11C2414yes—
180C22×Dic11C2412yes—
181C22×Dic11C2412yes—
182C22×Dic11C2412yes—
183C22×Dic11C2411yescharacteristic
184C22×Dic11C2411yescharacteristic
185C22×Dic11C2411yescharacteristic
186C2×D44—22no—
187C2×D44—22no—
188C2×D44C22×C414yes—
189C2×C4×D11—24no—
190C2×C4×D11—24no—
191C2×C4×D11—24no—
192C2×C4×D11—24no—
193C2×C4×D11—24no—
194C2×C4×D11—24no—
195C2×C4×D11—24no—
196C2×C4×D11—42no—
197C2×C4×D11C22×C418yes—
198C2×Dic22—22no—
199C2×Dic22—22no—
200C2×Dic22C22×C414yes—
201C11×C4⋊C4—22no—
202C11×C4⋊C4—22no—
203C11×C4⋊C4—28no—
204C11×C4⋊C4C22×C418yes—
205C11×C4⋊C4C22×C418yes—
206C11×C4⋊C4#4114yes—
207C11×C4⋊C4#4114yes—
208C42×C11—24no—
209C42×C11—28no—
210C42×C11—24no—
211C42×C11C22×C414yes—
212(C2×D11)⋊C4—24no—
213(C2×D11)⋊C4—28no—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—44no—
216(C2×D11)⋊C4C22×C418yes—
217(C2×D11)⋊C4C22×C4116yes—
218(C2×D11)⋊C4C22×C4116yes—
219C4⋊Dic11—28no—
220C4⋊Dic11—24no—
221C4⋊Dic11—24no—
222C4⋊Dic11—42no—
223C4⋊Dic11C22×C414yes—
224C4⋊Dic11C22×C414yes—
225C4⋊Dic11C22×C4116yes—
226Dic11⋊C4—24no—
227Dic11⋊C4—24no—
228Dic11⋊C4C22×C418yes—
229C4×Dic11—24no—
230C4×Dic11—24no—
231C4×Dic11—24no—
232C4×Dic11—28no—
233C4×Dic11—24no—
234C4×Dic11—22no—
235C4×Dic11—24no—
236C4×Dic11—22no—
237C4×Dic11—28no—
238C4×Dic11—22no—
239C4×Dic11—44no—
240C4×Dic11—41no—
241C4×Dic11—42no—
242C4×Dic11C22×C418yes—
243C4×Dic11C22×C4116yes—
244C4×Dic11#4114yes—
245C4×Dic11#4114yes—
246C2×#556—111no—
247#2373—114no—
248#2367—112no—
249#2365D1111yescharacteristic, complemented
250#2362—112no—
251#2356—112no—
252#2355—111no—
253#2354—111no—
254#2347—112no—
255C4×C4⋊Q8—111no—
256C4×#126—114no—
257C4×#124—112no—
258C4×C22⋊Q8—112no—
259C42×Q8—111no—
260C42×Q8—112no—
261C42×D4—111no—
262C4×#117—112no—
263C23×C11C2511yescharacteristic
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—22no—
270C22×D11C23×C414yes—
271Q8×C11—216no—
272C2×C4×C11—24no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11C23×C418yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C2×#4114yes—
291C2×C4×C11C2×#4112yes—
292C2×C4×C11C2×#4114yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4112yes—
296C2×Dic11—21no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—21no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—24no—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C414yes—
314C2×Dic11C23×C414yes—
315C2×Dic11C2×#4112yes—
316C2×Dic11C2×#4112yes—
317C2×Dic11C2×#4112yes—
318C2×Dic11C2×#4112yes—
319C2×Dic112−1+412yes—
320D44—28no—
321C4×D11—216no—
322C4×D11—48no—
323C4×D11—48no—
324Dic22—28no—
325#556—1116no—
326C2×C4⋊Q8C2×D1111yescharacteristic
327C2×#126—114no—
328C2×#124—112no—
329C2×C22⋊Q8—112no—
330C2×C4×Q8—112no—
331C2×C4×Q8—112no—
332C2×C4×Q8—111no—
333C2×C4×Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×Q8C2×D1112yes—
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×#117—112no—
340C2×#117—112no—
341C22×C42—112no—
342#391—112no—
343#391—112no—
344#391C2×D1112yes—
345#390—112no—
346#389—112no—
347#389—112no—
348#389C2×D1112yes—
349#388—114no—
350#388—114no—
351#388—114no—
352#388—114no—
353#388—114no—
354#387—114no—
355#387—114no—
356#387—114no—
357#387C2×D1114yes—
358#385—114no—
359#384—111no—
360#383—114no—
361#382—112no—
362#380—112no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—114no—
365C4×C4⋊C4—112no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—114no—
368C4×C4⋊C4—112no—
369C4×C4⋊C4—111no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4—111no—
372C4×C4⋊C4—112no—
373C4×C4⋊C4—112no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—114no—
376C4×C4⋊C4—112no—
377C4×C4⋊C4—112no—
378C4×C4⋊C4C2×D1111yescharacteristic
379C4×C4⋊C4C2×D1111yescharacteristic
380C4×C4⋊C4C2×D1112yes—
381C4×C22⋊C4—112no—
382C4×C22⋊C4—114no—
383C4×C22⋊C4—112no—
384C4×C22⋊C4—114no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4—112no—
387#376—114no—
388C43—114no—
389C43—111no—
390C43—112no—
391C22×C11C24×C411yescharacteristic
392C22×C11C22×#4111yescharacteristic
393C22×C11C22×#4111yescharacteristic
394C22×C11C22×#4111yescharacteristic
395C22×C11C22×#4111yescharacteristic
396C22×C11C2×2−1+411yescharacteristic
397C22×C11#58511yescharacteristic
398C2×D11—24no—
399C2×D11—24no—
400C2×D11—24no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C4×C11—28no—
406C4×C11—22no—
407C4×C11—24no—
408C4×C11—24no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11C4×#4114yes—
412C4×C11C4×#4114yes—
413Dic11—24no—
414Dic11—24no—
415Dic11—24no—
416Dic11—22no—
417Dic11—22no—
418Dic11—44no—
419Dic11—41no—
420Dic11#55614yescomplemented
421C22×Q8—111no—
422C22×Q8C22×D1112yes—
423C22×D4—111no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—112no—
427C4⋊Q8C4×D1118yescomplemented
428#126—1132no—
429#124—1116no—
430C22⋊Q8—1116no—
431C4×Q8—28no—
432C4×Q8—1116no—
433C4×Q8—118no—
434C4×Q8—224no—
435C4×Q8—228no—
436C4×Q8—224no—
437C4×D4—118no—
438C4×D4—224no—
439C4×D4—224no—
440#117—1116no—
441#117—228no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1114yes—
455C2×C4⋊C4C22×D1112yes—
456C2×C4⋊C4C22×D1112yes—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—114no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—112no—
464C2×C22⋊C4—112no—
465C2×C22⋊C4—114no—
466C2×C42—114no—
467C2×C42—111no—
468C2×C42—112no—
469C2×C42—111no—
470C2×C42—114no—
471C2×C42—111no—
472C2×C42—112no—
473C2×C42—114no—
474C2×C42—111no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—112no—
478C2×C42—111no—
479C2×C42—112no—
480C2×C42—111no—
481C2×C42—114no—
482C2×C42—112no—
483C2×C42—228no—
484C2×C42C22×D1114yes—
485C2×C42C22×D1112yes—
486C2×C42C22×D1112yes—
487C2×C42C22×D1111yescharacteristic
488#95—112no—
489#95—114no—
490#95—114no—
491#95—112no—
492#95—112no—
493#95—114no—
494#95—114no—
495#95—112no—
496#95—114no—
497#95—114no—
498#95C22×D1114yes—
499#95C22×D1112yes—
500#95C22×D1114yes—
501#95C22×D1112yes—
502C2×C11C2×C4×#4111yescharacteristic
503C2×C11C2×C4×#4111yescharacteristic
504C2×C11C4×2−1+411yescharacteristic
505C2×C11C2×#55611yescharacteristic
506C2×C11#347511yescharacteristic
507C2×C11#348011yescharacteristic
508C2×C11#348211yescharacteristic
509D11—44no—
510C24—112no—
511C2×Q8—24no—
512C2×Q8—24no—
513C2×Q8—114no—
514C2×Q8—222no—
515C2×Q8—222no—
516C2×Q8C2×C4×D1118yes—
517C2×D4—114no—
518C2×D4—222no—
519C2×D4—222no—
520C22×C4—111no—
521C22×C4—111no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—111no—
526C22×C4—118no—
527C22×C4—111no—
528C22×C4—114no—
529C22×C4—224no—
530C22×C4—224no—
531C22×C4—224no—
532C22×C4—224no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—442no—
537C22×C4C23×D1112yes—
538C22×C4C23×D1112yes—
539C22×C4C23×D1114yes—
540C22×C4C23×D1111yescharacteristic
541C22×C4C23×D1112yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C4⋊C4—28no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—114no—
549C4⋊C4—114no—
550C4⋊C4—1116no—
551C4⋊C4—118no—
552C4⋊C4—224no—
553C4⋊C4—228no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4—224no—
557C4⋊C4—442no—
558C4⋊C4C2×C4×D1118yes—
559C4⋊C4C2×C4×D1118yes—
560C4⋊C4#434114yes—
561C4⋊C4#434314yes—
562C22⋊C4—1116no—
563C22⋊C4—118no—
564C22⋊C4—1116no—
565C22⋊C4—224no—
566C22⋊C4—224no—
567C22⋊C4—228no—
568C22⋊C4—444no—
569C42—28no—
570C42—24no—
571C42—24no—
572C42—1116no—
573C42—118no—
574C42—114no—
575C42—114no—
576C42—224no—
577C42—224no—
578C42—228no—
579C42—224no—
580C42—224no—
581C42—222no—
582C42—222no—
583C42—228no—
584C42—224no—
585C42—222no—
586C42—444no—
587C42—441no—
588C42—442no—
589C42C2×C4×D1114yes—
590C11C4×#55611yescharacteristic, complemented, Sylow
591C23—114no—
592C23—222no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23C24×D1111yescharacteristic
599Q8—216no—
600Q8—228no—
601D4—228no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—114no—
620C2×C4—114no—
621C2×C4—114no—
622C2×C4—112no—
623C2×C4—112no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—221no—
632C2×C4—222no—
633C2×C4—221no—
634C2×C4—2216no—
635C2×C4—221no—
636C2×C4—224no—
637C2×C4—221no—
638C2×C4—224no—
639C2×C4—221no—
640C2×C4—224no—
641C2×C4—448no—
642C2×C4—448no—
643C2×C4C22×C4×D1118yes—
644C2×C4C22×C4×D1112yes—
645C2×C4C22×C4×D1112yes—
646C2×C4C22×C4×D1112yes—
647C2×C4C2×#434114yes—
648C2×C4C2×#434112yes—
649C2×C4C2×#434314yes—
650C2×C4C2×#434312yes—
651C2×C4#41×D1112yes—
652C2×C4#41×D1112yes—
653C22—224no—
654C22—224no—
655C22—224no—
656C22—442no—
657C22—442no—
658C22—442no—
659C22—442no—
660C22C23×C4×D1111yescharacteristic
661C22C22×#434111yescharacteristic
662C22C22×#434311yescharacteristic
663C22C2×#41×D1111yescharacteristic
664C22C2×#41×D1111yescharacteristic
665C22D11×2−1+411yescharacteristic
666C22#1062345711yescharacteristic
667C4—24no—
668C4—24no—
669C4—28no—
670C4—22no—
671C4—42no—
672C4—42no—
673C4—114no—
674C4—222no—
675C4—222no—
676C4—224no—
677C4—224no—
678C4—224no—
679C4—444no—
680C4—441no—
681C4C4×#434114yes—
682C4C4×#434314yes—
683C2—444no—
684C2C2×C4×#434111yescharacteristic
685C2C2×C4×#434311yescharacteristic
686C2#1308182511yescharacteristic
687C2D11×#55611yescharacteristic
688C2#1308217911yescharacteristic
689C2#1308221611yescharacteristic
690C2#1308223711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2365C2
socle, cosocleC23×C11C25
prime radicalC22×D44C23
hypercenter#2365D11
hypocenterC11C4×#556
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2365

Complements

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

NH ≅ G/Ntype
2. #13071735C2semidirect
4. #13071645C2semidirect
5. #13071580C2semidirect
6. #13071571C2semidirect
8. #13071508C2semidirect
9. C4⋊Q8×Dic11C2semidirect
10. #13071166C2semidirect
12. #13071146C2semidirect
13. C4×Q8×Dic11C2semidirect
14. C4×#66940C2semidirect
16. C4×#66945C2semidirect
17. C11×#2365C2semidirect
23. #10623263C4semidirect
90. C11×C4⋊Q8C2×C4semidirect
105. Q8×Dic11C2×C4semidirect
140. #66951C2×C4semidirect
141. #66950C2×C4semidirect
145. #66945C2×C4semidirect
150. C4×Dic22C2×C4semidirect
249. #2365D11semidirect
420. Dic11#556semidirect
427. C4⋊Q8C4×D11semidirect
590. C11C4×#556semidirect

Maximal subgroups

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

subgroupindex
C2×#106232632
#130717352
#130716832
#130716452
#130715802
#130715712
#130715632
#130715082
C4⋊Q8×Dic112
#130711662
#130711592
#130711462
C4×Q8×Dic112
C4×#669402
C4×#669462
C4×#669452
C11×#23652
C4×#55611