Finite Group Databasebeta

← #14913510

Subgroups — #14913510

Order 2816.

2398 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623088C211yesmaximal, characteristic
2#13071750C214yesmaximal, complemented
3#13071738C214yesmaximal, complemented
4#13071714C212yesmaximal, complemented
5#13071689C212yesmaximal, complemented
6#13071650C212yesmaximal
7#13071645C212yesmaximal, complemented
8#13071112C212yesmaximal, complemented
9#13071093C211yesmaximal, characteristic, complemented
10#13071081C211yesmaximal, characteristic, complemented
11#13071079C212yesmaximal, complemented
12#13071059C212yesmaximal, complemented
13C4×#66940C211yesmaximal, characteristic, complemented
14C4×#66925C211yesmaximal, characteristic, complemented
15C4×#66979C212yesmaximal, complemented
16C4×#66945C211yesmaximal, characteristic, complemented
17C42×D4×C11C211yesmaximal, characteristic, complemented
18C2×C4×D4×C11C2212yes—
19C2×C4×D4×C11C2211yescharacteristic
20C22×C42×C11C2212yes—
21C2×#66991C2211yescharacteristic
22C2×#66989C2211yescharacteristic
23C2×C4×C22⋊D11C2212yes—
24C2×#66979C2212yes—
25C2×#66979C2212yes—
26#10623088C4116yescomplemented
27C2×#66950C2211yescharacteristic
28C2×#66945C2212yes—
29C2×#66943C2211yescharacteristic
30C2×#66940C2212yes—
31C2×#66936C2212yes—
32C2×#66932C2212yes—
33C2×#66925C2211yescharacteristic
34C2×#66925C2211yescharacteristic
35C2×C42×D11C2211yescharacteristic
36C2×C4×Dic22C2211yescharacteristic
37C4×C11×C4⋊C4C2212yes—
38C4×C11×C4⋊C4C2211yescharacteristic
39C4×C11×C22⋊C4C2212yes—
40C4×C11×C22⋊C4C2214yes—
41C43×C11C2211yescharacteristic
42#10622834C2212yes—
43#10622826C2214yes—
44#10622823C2214yes—
45C4×C22⋊Dic11C2212yes—
46C4×C22⋊Dic11C2214yes—
47C4×C22⋊Dic11C2214yes—
48#10622598C2212yes—
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2212yes—
51#10622570C2214yes—
52#10622564C2214yes—
53#10622558C2214yes—
54#10622557C2214yes—
55#10622557C2214yes—
56#10622553C2214yes—
57C4×(C2×D11)⋊C4C2212yes—
58C4×(C2×D11)⋊C4C2212yes—
59C4×(C2×D11)⋊C4C2212yes—
60C4×C4⋊Dic11C2214yes—
61C4×C4⋊Dic11C2214yes—
62C4×C4⋊Dic11C2211yescharacteristic
63#10622546C2214yes—
64#10622546C2214yes—
65#10622545C2211yescharacteristic
66#10622545C2211yescharacteristic
67#10622545C2212yes—
68C4×Dic11⋊C4C2212yes—
69C4×Dic11⋊C4C2212yes—
70C4×Dic11⋊C4C2212yes—
71C4×Dic11⋊C4C2212yes—
72C42×Dic11C2212yes—
73C42×Dic11C2212yes—
74C42×Dic11C2211yescharacteristic
75#10622542C2212yes—
76#10622541C2212yes—
77#10622283C2214yes—
78#10622279C2212yes—
79#10622267C2214yes—
80#10622266C2214yes—
81#10622262C2214yes—
82#10622261C2212yes—
83#10622260C2214yes—
84C22×D4×C11C2311yescharacteristic
85C23×C4×C11C2314yes—
86C23×C4×C11C2312yes—
87C22×C22⋊D11C2312yes—
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2311yescharacteristic
90C22×C4×D11C2311yescharacteristic
91C22×Dic22C2311yescharacteristic
92C4×D4×C11—28no—
93C4×D4×C11C2×C418yes—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C22⋊C4C2314yes—
97C2×C11×C22⋊C4C2312yes—
98C2×C42×C11—28no—
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2312yes—
104C2×C42×C11C2311yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2314yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111#66991C2×C418yes—
112#66989C2×C418yes—
113C4×C22⋊D11C2×C4116yescomplemented
114C2×(C2×D11)⋊C4C2312yes—
115C2×(C2×D11)⋊C4C2312yes—
116C2×(C2×D11)⋊C4C2314yes—
117C2×(C2×D11)⋊C4C2312yes—
118#66979—28no—
119#66979C2×C4116yescomplemented
120C2×C4⋊Dic11C2314yes—
121C2×C4⋊Dic11C2312yes—
122C2×C4⋊Dic11C2311yescharacteristic
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2312yes—
125C2×Dic11⋊C4C2312yes—
126C2×Dic11⋊C4C2312yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×C4×Dic11C2311yescharacteristic
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2311yescharacteristic
141C2×C4×Dic11C2311yescharacteristic
142C2×C4×Dic11C2311yescharacteristic
143C2×C4×Dic11C2311yescharacteristic
144#66950C2×C418yescomplemented
145#66945—28no—
146#66943C2×C418yescomplemented
147#66940—28no—
148#66936C2×C4116yescomplemented
149#66932C2×C4116yescomplemented
150#66925—24no—
151#66925—24no—
152C42×D11C2×C418yescomplemented
153C4×Dic22C2×C418yescomplemented
154C11×#95C2314yes—
155C11×#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2312yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2314yes—
161C11⋊#95C2314yes—
162C11⋊#95C2312yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165C11⋊#95C2312yes—
166C11⋊#95C2312yes—
167#34151—111nomaximal, Sylow
168C24×C11C2412yes—
169C23×D11C2411yescharacteristic
170C2×D4×C11—24no—
171C2×D4×C11C22×C414yes—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—28no—
175C22×C4×C11—28no—
176C22×C4×C11—44no—
177C22×C4×C11C22×C418yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2414yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C2×C22⋊D11—44no—
186C2×C22⋊D11C22×C418yes—
187C22×Dic11C2412yes—
188C22×Dic11C2414yes—
189C22×Dic11C2411yescharacteristic
190C22×Dic11C2411yescharacteristic
191C22×Dic11C2412yes—
192C22×Dic11C2412yes—
193C22×Dic11C2411yescharacteristic
194C22×Dic11C2412yes—
195C2×C4×D11—22no—
196C2×C4×D11—22no—
197C2×C4×D11—24no—
198C2×C4×D11—42no—
199C2×C4×D11C22×C414yes—
200C2×C4×D11C22×C414yes—
201C2×C4×D11C22×C414yes—
202C2×Dic22—24no—
203C2×Dic22C22×C414yes—
204C11×C4⋊C4C22×C414yes—
205C11×C4⋊C4#4118yes—
206C11×C22⋊C4—28no—
207C11×C22⋊C4C22×C418yes—
208C42×C11—22no—
209C42×C11—28no—
210C42×C11—24no—
211C42×C11—24no—
212C42×C11—42no—
213C42×C11C22×C414yes—
214C42×C11#4114yes—
215C22⋊Dic11—28no—
216C22⋊Dic11—44no—
217C22⋊Dic11C22×C418yes—
218C22⋊Dic11C22×C418yes—
219C22⋊Dic11C22×C418yes—
220(C2×D11)⋊C4—24no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4C22×C418yes—
224C4⋊Dic11—28no—
225C4⋊Dic11—24no—
226C4⋊Dic11C22×C414yes—
227C4⋊Dic11C22×C418yes—
228C4⋊Dic11C22×C418yes—
229Dic11⋊C4—24no—
230Dic11⋊C4—24no—
231Dic11⋊C4—28no—
232Dic11⋊C4—44no—
233Dic11⋊C4C22×C418yes—
234Dic11⋊C4C22×C418yes—
235C4×Dic11—22no—
236C4×Dic11—28no—
237C4×Dic11—24no—
238C4×Dic11—28no—
239C4×Dic11—24no—
240C4×Dic11—44no—
241C4×Dic11—44no—
242C4×Dic11—42no—
243C4×Dic11C22×C418yes—
244C4×Dic11C22×C414yes—
245C4×Dic11C22×C414yes—
246C4×Dic11C22×C414yes—
247C4×Dic11#4114yes—
248C2×#529—111no—
249#2374—114no—
250#2373—114no—
251#2370—112no—
252#2367—112no—
253#2363—112no—
254#2362—112no—
255#2298—112no—
256#2295—111no—
257#2293—112no—
258#2293—111no—
259#2290—112no—
260C42×Q8—111no—
261C42×D4D1111yescharacteristic, complemented
262C4×#117—112no—
263C4×#117—111no—
264C4×#117—111no—
265C23×C11—22no—
266C23×C11—24no—
267C23×C11—22no—
268C23×C11—24no—
269C23×C11C23×C414yes—
270C23×C11C2511yescharacteristic
271C22×D11—22no—
272C22×D11—21no—
273C22×D11—21no—
274C22×D11—22no—
275C22×D11C23×C412yes—
276D4×C11—28no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—216no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—416no—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C23×C414yes—
291C2×C4×C11C23×C412yes—
292C2×C4×C11C23×C412yes—
293C2×C4×C11C2×#4118yes—
294C2×C4×C11C2×#4114yes—
295C2×C4×C11C2×#4114yes—
296C2×C4×C11C2×#4112yes—
297C2×C4×C11C2×#4112yes—
298C22⋊D11—48no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—24no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C412yes—
315C2×Dic11C23×C412yes—
316C2×Dic11C23×C414yes—
317C2×Dic11C23×C414yes—
318C2×Dic11C2×#4114yes—
319C4×D11—28no—
320C4×D11—28no—
321C4×D11—44no—
322Dic22—28no—
323#529—1116no—
324C2×#126—112no—
325C2×#125—111no—
326C2×#124—111no—
327C2×#123—112no—
328C2×C22⋊Q8—111no—
329C2×#121—111no—
330C2×C4×Q8—112no—
331C2×C4×Q8—111no—
332C2×C4×D4—112no—
333C2×C4×D4C2×D1112yes—
334C2×C4×D4C2×D1111yescharacteristic
335C2×#117—112no—
336C2×#117—112no—
337C2×#117—112no—
338C2×#117—111no—
339C2×#117—111no—
340C22×C42—111no—
341C22×C42C2×D1112yes—
342#391—112no—
343#390—112no—
344#390—114no—
345#389—112no—
346#389—112no—
347#389—114no—
348#388—114no—
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#387—114no—
358#386—114no—
359#385—114no—
360C4×C4⋊C4—112no—
361C4×C4⋊C4—112no—
362C4×C4⋊C4—114no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—114no—
365C4×C4⋊C4—112no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—114no—
370C4×C4⋊C4C2×D1112yes—
371C4×C4⋊C4C2×D1111yescharacteristic
372C4×C22⋊C4—114no—
373C4×C22⋊C4—114no—
374C4×C22⋊C4—112no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—112no—
377C4×C22⋊C4—112no—
378C4×C22⋊C4—112no—
379C4×C22⋊C4C2×D1114yes—
380C4×C22⋊C4C2×D1112yes—
381#376—111no—
382#376—112no—
383#376—111no—
384#376—112no—
385C43—112no—
386C43—112no—
387C43—111no—
388C43C2×D1111yescharacteristic
389C22×C11—24no—
390C22×C11—24no—
391C22×C11—24no—
392C22×C11—44no—
393C22×C11—44no—
394C22×C11C24×C411yescharacteristic
395C22×C11C22×#4112yes—
396C22×C11C22×#4111yescharacteristic
397C22×C11C22×#4111yescharacteristic
398C22×C11#58512yes—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—42no—
403C2×D11—42no—
404C4×C11—24no—
405C4×C11—22no—
406C4×C11—24no—
407C4×C11—28no—
408C4×C11—42no—
409C4×C11C4×#4114yes—
410C4×C11C4×#4114yes—
411Dic11—24no—
412Dic11—22no—
413Dic11—22no—
414Dic11—22no—
415Dic11—24no—
416Dic11—24no—
417Dic11—42no—
418Dic11—44no—
419C22×Q8—111no—
420C22×D4—112no—
421C22×D4C22×D1111yescharacteristic
422C23×C4—111no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4C22×D1114yes—
426C23×C4C22×D1112yes—
427#126—1116no—
428#125—118no—
429#124—118no—
430#123—1116no—
431C22⋊Q8—118no—
432#121—118no—
433C4×Q8—118no—
434C4×Q8—228no—
435C4×D4—28no—
436C4×D4—1116no—
437C4×D4C4×D1118yes—
438#117—1116no—
439#117—224no—
440#117—228no—
441#117—228no—
442#117—224no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1112yes—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—112no—
464C2×C22⋊C4—114no—
465C2×C22⋊C4C22×D1114yes—
466C2×C22⋊C4C22×D1112yes—
467C2×C42—28no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—112no—
473C2×C42—118no—
474C2×C42—114no—
475C2×C42—114no—
476C2×C42—112no—
477C2×C42—111no—
478C2×C42—112no—
479C2×C42—114no—
480C2×C42—112no—
481C2×C42—114no—
482C2×C42C22×D1112yes—
483C2×C42C22×D1114yes—
484C2×C42C22×D1111yescharacteristic
485C2×C42C22×D1112yes—
486C2×C42C22×D1112yes—
487C2×C42C22×D1111yescharacteristic
488C2×C42C22×D1111yescharacteristic
489#95—112no—
490#95—112no—
491#95—114no—
492#95—114no—
493#95—114no—
494#95—112no—
495#95—112no—
496#95—112no—
497#95—114no—
498#95—114no—
499#95—114no—
500#95C22×D1112yes—
501#95C22×D1114yes—
502C2×C11—44no—
503C2×C11C2×C4×#4111yescharacteristic
504C2×C11C2×C4×#4111yescharacteristic
505C2×C11#342811yescharacteristic
506C2×C11#347512yes—
507C2×C11#348012yes—
508D11—42no—
509C24—111no—
510C24C23×D1112yes—
511C2×Q8—114no—
512C2×Q8—224no—
513C2×D4—24no—
514C2×D4—118no—
515C2×D4—444no—
516C2×D4C2×C4×D1114yes—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—28no—
520C22×C4—28no—
521C22×C4—44no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—111no—
527C22×C4—112no—
528C22×C4—114no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—112no—
533C22×C4—224no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—442no—
537C22×C4C2×C4×D1118yes—
538C22×C4C23×D1112yes—
539C22×C4C23×D1111yescharacteristic
540C22×C4C23×D1112yes—
541C22×C4C23×D1114yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C4⋊C4—118no—
546C4⋊C4—118no—
547C4⋊C4—118no—
548C4⋊C4—114no—
549C4⋊C4—118no—
550C4⋊C4—224no—
551C4⋊C4—228no—
552C4⋊C4—224no—
553C4⋊C4—228no—
554C4⋊C4—224no—
555C4⋊C4—444no—
556C4⋊C4C2×C4×D1114yes—
557C4⋊C4#433918yes—
558C22⋊C4—28no—
559C22⋊C4—118no—
560C22⋊C4—118no—
561C22⋊C4—118no—
562C22⋊C4—118no—
563C22⋊C4—224no—
564C22⋊C4—228no—
565C22⋊C4—228no—
566C22⋊C4—224no—
567C22⋊C4—444no—
568C22⋊C4C2×C4×D1118yes—
569C42—24no—
570C42—28no—
571C42—24no—
572C42—22no—
573C42—42no—
574C42—114no—
575C42—114no—
576C42—114no—
577C42—118no—
578C42—114no—
579C42—228no—
580C42—228no—
581C42—224no—
582C42—222no—
583C42—224no—
584C42—442no—
585C42—444no—
586C42—444no—
587C42C2×C4×D1114yes—
588C42#434114yes—
589C11#3415111yescharacteristic, complemented, Sylow
590C23—24no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—112no—
595C23—222no—
596C23—221no—
597C23—221no—
598C23—222no—
599C23C22×C4×D1114yes—
600C23C24×D1111yescharacteristic
601Q8—228no—
602D4—28no—
603D4—448no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—216no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—416no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—114no—
620C2×C4—114no—
621C2×C4—114no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—224no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—224no—
630C2×C4—228no—
631C2×C4—228no—
632C2×C4—224no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—224no—
636C2×C4—222no—
637C2×C4—224no—
638C2×C4—444no—
639C2×C4C22×C4×D1112yes—
640C2×C4C22×C4×D1114yes—
641C2×C4C22×C4×D1112yes—
642C2×C4C22×C4×D1112yes—
643C2×C4C2×#433918yes—
644C2×C4C2×#433914yes—
645C2×C4C2×#434114yes—
646C2×C4C2×#434112yes—
647C2×C4#41×D1112yes—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—44no—
652C22—44no—
653C22—222no—
654C22—222no—
655C22—222no—
656C22—442no—
657C22—442no—
658C22C23×C4×D1111yescharacteristic
659C22C22×#433912yes—
660C22C22×#434111yescharacteristic
661C22C2×#41×D1111yescharacteristic
662C22#1062345312yes—
663C4—24no—
664C4—28no—
665C4—24no—
666C4—22no—
667C4—42no—
668C4—224no—
669C4—222no—
670C4—222no—
671C4—224no—
672C4—222no—
673C4—224no—
674C4—442no—
675C4—444no—
676C4C4×#433914yes—
677C4C4×#434114yes—
678C2—44no—
679C2—442no—
680C2C2×C4×#434111yescharacteristic
681C2C2×C4×#433911yescharacteristic
682C2#1308181511yescharacteristic
683C2#1308217412yes—
684C2#1308221412yes—
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC42×D4×C11C2
socle, cosocleC23×C11C25
prime radicalC2×#66991C22
hypercenterC42×D4D11
hypocenterC11#34151
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #13071750C2semidirect
3. #13071738C2semidirect
4. #13071714C2semidirect
5. #13071689C2semidirect
7. #13071645C2semidirect
8. #13071112C2semidirect
9. #13071093C2semidirect
10. #13071081C2semidirect
11. #13071079C2semidirect
12. #13071059C2semidirect
13. C4×#66940C2semidirect
14. C4×#66925C2semidirect
15. C4×#66979C2semidirect
16. C4×#66945C2semidirect
17. C42×D4×C11C2semidirect
26. #10623088C4semidirect
113. C4×C22⋊D11C2×C4semidirect
119. #66979C2×C4semidirect
144. #66950C2×C4semidirect
146. #66943C2×C4semidirect
148. #66936C2×C4semidirect
149. #66932C2×C4semidirect
152. C42×D11C2×C4semidirect
153. C4×Dic22C2×C4semidirect
261. C42×D4D11semidirect
589. C11#34151semidirect

Maximal subgroups

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

subgroupindex
C2×#106230882
#130717502
#130717382
#130717142
#130716892
#130716502
#130716452
#130711122
#130710932
#130710812
#130710792
#130710592
C4×#669402
C4×#669252
C4×#669792
C4×#669452
C42×D4×C112
#3415111