Finite Group Databasebeta

← #14914731

Subgroups — #14914731

Order 2816.

2834 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×#10623329C211yesmaximal, characteristic
2#13071554C214yesmaximal, complemented
3#13071543C214yesmaximal, complemented
4#13071478C214yesmaximal, complemented
5#13071467C214yesmaximal, complemented
6#13071242C214yesmaximal, complemented
7#13071228C211yesmaximal, characteristic, complemented
8#13071056C214yesmaximal, complemented
9C2×#10622833C211yesmaximal, characteristic
10C2×#10622559C211yesmaximal, characteristic, complemented
11#13070969C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
13C11×#2308C211yesmaximal, characteristic
14C23×D4×C11C2211yescharacteristic
15C24×Dic11C2211yescharacteristic
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2212yes—
23#10623329C4116yescomplemented
24C2×D4×Dic11C2214yes—
25C2×D4×Dic11C2214yes—
26C2×#66979C2212yes—
27C22×Dic11⋊C4C2212yescomplemented
28C22×C4×Dic11C2212yescomplemented
29C2×#66930C2214yescomplemented
30C11×#386C2214yes—
31C11×#386C2212yes—
32C11×#386C2212yes—
33C11×#381C2212yes—
34C11×#379C2212yes—
35#10622833C2212yes—
36#10622833C2214yes—
37#10622833C2212yes—
38#10622823C2214yescomplemented
39C4×C22⋊Dic11C2212yescomplemented
40C4×C22⋊Dic11C2212yescomplemented
41C2×C11⋊#95C2212yes—
42C2×C11⋊#95C2212yescomplemented
43C2×C11⋊#95C2212yescomplemented
44#10622559C2214yes—
45#10622559C2214yes—
46#10622559C2212yescomplemented
47#10622559C2212yescomplemented
48#10622558C2214yescomplemented
49#10622558C2214yescomplemented
50#10622557C2214yescomplemented
51#10622557C2214yescomplemented
52#10622556C2214yescomplemented
53#10622555C2214yescomplemented
54#10622555C2214yescomplemented
55C22⋊C4×Dic11C2214yes—
56C22⋊C4×Dic11C2214yes—
57C22⋊C4×Dic11C2214yescomplemented
58C22⋊C4×Dic11C2214yescomplemented
59C22⋊C4×Dic11C2214yescomplemented
60#10622267C2214yescomplemented
61#10622267C2214yescomplemented
62#10622266C2214yescomplemented
63#10622266C2214yescomplemented
64#10622264C2214yescomplemented
65#10622263C2214yescomplemented
66#10622262C2214yescomplemented
67#10622261C2214yescomplemented
68C25×C11C2311yescharacteristic
69C25×C11C2311yescharacteristic
70C22×D4×C11—24no—
71C22×D4×C11—24no—
72C22×D4×C11C2×C418yes—
73C22×D4×C11C2312yes—
74C22×D4×C11C2312yes—
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2312yes—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×Dic11—24no—
80C23×Dic11—44no—
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2312yes—
83C23×Dic11C2312yes—
84C23×Dic11C2312yes—
85C23×Dic11C2311yescharacteristic
86C23×Dic11C2312yes—
87C23×Dic11C2312yes—
88C23×Dic11C2314yes—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—24no—
91C2×C11×C22⋊C4C2312yes—
92C2×C11×C22⋊C4C2312yes—
93C2×C11×C22⋊C4C2312yes—
94C2×C11×C22⋊C4C2312yes—
95C2×C11×C22⋊C4C2314yes—
96C2×C11×C22⋊C4C2314yes—
97C2×C22⋊Dic11—24no—
98C2×C22⋊Dic11—44no—
99C2×C22⋊Dic11C2×C418yes—
100C2×C22⋊Dic11C2×C418yes—
101C2×C22⋊Dic11C2×C4116yescomplemented
102C2×C22⋊Dic11C2314yes—
103C2×C22⋊Dic11C2312yes—
104C2×C22⋊Dic11C2312yes—
105C2×C22⋊Dic11C2314yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2314yes—
111D4×Dic11C2×C4132yescomplemented
112D4×Dic11C2×C4132yescomplemented
113#66979C2×C4116yescomplemented
114C2×C4⋊Dic11C2314yes—
115C2×Dic11⋊C4—44no—
116C2×Dic11⋊C4C2314yes—
117C2×Dic11⋊C4C2314yes—
118C2×Dic11⋊C4C2314yes—
119C2×Dic11⋊C4C2314yes—
120C2×C4×Dic11—44no—
121C2×C4×Dic11C2314yes—
122C2×C4×Dic11C2314yes—
123C2×C4×Dic11C2314yes—
124C2×C4×Dic11C2314yes—
125C2×C4×Dic11C2314yes—
126#66930—48no—
127C11×#95C2314yes—
128C11×#95C2314yes—
129C11⋊#95C2314yes—
130C11⋊#95C2314yes—
131C11⋊#95C2314yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134C11⋊#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139#34251—111nomaximal, Sylow
140C24×C11—22no—
141C24×C11—22no—
142C24×C11—42no—
143C24×C11—42no—
144C24×C11—42no—
145C24×C11—42no—
146C24×C11C22×C414yes—
147C24×C11C22×C414yes—
148C24×C11#4114yes—
149C24×C11#4114yes—
150C24×C11C2412yes—
151C24×C11C2411yescharacteristic
152C24×C11C2411yescharacteristic
153C24×C11C2411yescharacteristic
154C2×D4×C11—232no—
155C2×D4×C11—24no—
156C2×D4×C11—24no—
157C2×D4×C11—24no—
158C2×D4×C11—24no—
159C2×D4×C11C22×C418yes—
160C2×D4×C11C22×C418yes—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11C22×C414yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×Dic11—24no—
176C22×Dic11—24no—
177C22×Dic11—24no—
178C22×Dic11—22no—
179C22×Dic11—24no—
180C22×Dic11—22no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—44no—
184C22×Dic11—42no—
185C22×Dic11—42no—
186C22×Dic11—42no—
187C22×Dic11—42no—
188C22×Dic11—42no—
189C22×Dic11—42no—
190C22×Dic11—42no—
191C22×Dic11—44no—
192C22×Dic11—42no—
193C22×Dic11—42no—
194C22×Dic11—416no—
195C22×Dic11C22×C418yes—
196C22×Dic11C22×C418yes—
197C22×Dic11C22×C4116yescomplemented
198C22×Dic11C2412yes—
199C22×Dic11C2414yes—
200C22×Dic11C2414yes—
201C22×Dic11C2414yes—
202C22×Dic11C2412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—44no—
208C11×C22⋊C4—44no—
209C22⋊Dic11—28no—
210C22⋊Dic11—24no—
211C22⋊Dic11—24no—
212C22⋊Dic11—44no—
213C22⋊Dic11C22×C418yes—
214C22⋊Dic11C22×C418yes—
215C22⋊Dic11C22×C418yes—
216C22⋊Dic11C22×C418yes—
217C22⋊Dic11C22×C4116yescomplemented
218C4⋊Dic11C22×C4116yescomplemented
219Dic11⋊C4—28no—
220Dic11⋊C4—44no—
221Dic11⋊C4—44no—
222Dic11⋊C4—44no—
223C4×Dic11—28no—
224C4×Dic11—44no—
225C4×Dic11—44no—
226C4×Dic11—44no—
227C4×Dic11C22×C4116yescomplemented
228C2×#518—111no—
229#2353—114no—
230#2352—114no—
231#2343—114no—
232#2342—114no—
233#2318—114no—
234#2315—111no—
235#2308D1111yescharacteristic
236#2290—114no—
237C2×#386—111no—
238C2×#385—111no—
239#2273—111no—
240C2×C4×C22⋊C4—111no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—24no—
251C23×C11—28no—
252C23×C11—44no—
253C23×C11—48no—
254C23×C11—44no—
255C23×C11—48no—
256C23×C11—48no—
257C23×C11—82no—
258C23×C11—82no—
259C23×C11—84no—
260C23×C11#117116yescomplemented
261C23×C11C23×C414yes—
262C23×C11C23×C412yes—
263C23×C11C23×C412yes—
264C23×C11C23×C412yes—
265C23×C11C2×#4112yes—
266C23×C11C2×#4112yes—
267C23×C11C2×#4112yes—
268C23×C11C2×#4112yes—
269C23×C11C2×#4112yes—
270C23×C11C2×#4112yes—
271C23×C11C2511yescharacteristic
272D4×C11—216no—
273D4×C11—216no—
274C2×C4×C11—28no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—48no—
285C2×C4×C11—82no—
286C2×C4×C11—82no—
287C2×C4×C11C23×C414yes—
288C2×Dic11—28no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—22no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—24no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—48no—
302C2×Dic11—48no—
303C2×Dic11—416no—
304C2×Dic11—48no—
305C2×Dic11—48no—
306C2×Dic11—44no—
307C2×Dic11—84no—
308C2×Dic11C23×C418yes—
309C2×Dic11C23×C418yes—
310C2×Dic11H(5,𝔽2)14yes—
311C23×D4C2×D1111yescharacteristic
312C24×C4—111no—
313#518—1116no—
314C2×C4×D4—114no—
315C2×C4×D4—114no—
316C2×#117—112no—
317C2×#117—114no—
318C22×C4⋊C4—112no—
319C22×C22⋊C4—111no—
320C22×C22⋊C4—112no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4C2×D1111yescharacteristic
325C22×C22⋊C4C2×D1111yescharacteristic
326C22×C42—112no—
327#388—114no—
328#388—114no—
329#388—114no—
330#388—114no—
331#387—114no—
332#387—114no—
333#387—114no—
334#387—114no—
335#386—112no—
336#386—114no—
337#386—112no—
338#386C2×D1114yes—
339#386C2×D1112yes—
340#386C2×D1112yes—
341#385—114no—
342#385—114no—
343#385—112no—
344#385—114no—
345#385—112no—
346#383—114no—
347#382—114no—
348#381—114no—
349#381C2×D1112yes—
350#380—114no—
351#380—114no—
352#379C2×D1112yes—
353C4×C4⋊C4—114no—
354C4×C22⋊C4—112no—
355C4×C22⋊C4—112no—
356C4×C22⋊C4—114no—
357C4×C22⋊C4—114no—
358C4×C22⋊C4—114no—
359C4×C22⋊C4—114no—
360C4×C22⋊C4—114no—
361#376—114no—
362C2×#95—112no—
363C2×#95—112no—
364C2×#95—112no—
365C22×C11—24no—
366C22×C11—24no—
367C22×C11—24no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—24no—
378C22×C11—28no—
379C22×C11—416no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—44no—
383C22×C11—88no—
384C22×C11C2×#11714yes—
385C22×C11C2×#11714yes—
386C22×C11C2×#11714yes—
387C22×C11C24×C411yescharacteristic
388C22×C11C22×#4111yescharacteristic
389C22×C11C22×#4111yescharacteristic
390C22×C11C2×H(5,𝔽2)12yes—
391C22×C11#58512yes—
392C4×C11—24no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11—44no—
396Dic11—28no—
397Dic11—28no—
398Dic11—24no—
399Dic11—42no—
400Dic11—44no—
401C25C22×D1111yescharacteristic
402C25C22×D1111yescharacteristic
403C22×D4—24no—
404C22×D4—24no—
405C22×D4C4×D1118yes—
406C22×D4C22×D1112yes—
407C22×D4C22×D1112yes—
408C23×C4—112no—
409C23×C4—114no—
410C23×C4—112no—
411C23×C4—111no—
412C23×C4—112no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4—111no—
416C23×C4—224no—
417C23×C4—444no—
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1112yes—
422C4×D4—1132no—
423C4×D4—1132no—
424#117—1116no—
425#117—448no—
426C2×C4⋊C4—114no—
427C2×C4⋊C4—114no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—114no—
430C2×C4⋊C4—114no—
431C2×C4⋊C4—444no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—118no—
436C2×C22⋊C4—1116no—
437C2×C22⋊C4—112no—
438C2×C22⋊C4—112no—
439C2×C22⋊C4—112no—
440C2×C22⋊C4—112no—
441C2×C22⋊C4—114no—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—112no—
444C2×C22⋊C4—112no—
445C2×C22⋊C4—114no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—444no—
448C2×C22⋊C4C22×D1112yes—
449C2×C22⋊C4C22×D1112yes—
450C2×C22⋊C4C22×D1112yes—
451C2×C22⋊C4C22×D1112yes—
452C2×C22⋊C4C22×D1114yes—
453C2×C22⋊C4C22×D1114yes—
454C2×C42—114no—
455C2×C42—114no—
456C2×C42—114no—
457C2×C42—114no—
458C2×C42—114no—
459C2×C42—444no—
460#95—114no—
461#95—114no—
462#95—114no—
463#95—114no—
464#95—114no—
465#95—114no—
466#95—114no—
467#95—114no—
468#95—114no—
469#95—114no—
470#95C22×D1114yes—
471#95C22×D1114yes—
472C2×C11—24no—
473C2×C11—24no—
474C2×C11—24no—
475C2×C11—44no—
476C2×C11C22×#11711yescharacteristic
477C2×C11C4×H(5,𝔽2)12yes—
478C2×C11#349011yescharacteristic
479C2×C11#349111yescharacteristic
480C2×C11#350512yes—
481C24—22no—
482C24—22no—
483C24—42no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24C2×C4×D1114yes—
488C24C2×C4×D1114yes—
489C24#434114yes—
490C24#434114yes—
491C24C23×D1112yes—
492C24C23×D1111yescharacteristic
493C24C23×D1111yescharacteristic
494C24C23×D1111yescharacteristic
495C2×D4—232no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4C2×C4×D1118yes—
501C2×D4C2×C4×D1118yes—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—114no—
512C22×C4—112no—
513C22×C4—114no—
514C22×C4—118no—
515C22×C4—118no—
516C22×C4—1116no—
517C22×C4—112no—
518C22×C4—114no—
519C22×C4—224no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—222no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—222no—
526C22×C4—224no—
527C22×C4—442no—
528C22×C4—442no—
529C22×C4—444no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—444no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—4416no—
539C22×C4C2×C4×D1114yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1114yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1112yes—
544C4⋊C4—1116no—
545C4⋊C4—228no—
546C4⋊C4—444no—
547C4⋊C4—444no—
548C4⋊C4—444no—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—118no—
556C22⋊C4—118no—
557C22⋊C4—118no—
558C22⋊C4—118no—
559C22⋊C4—1116no—
560C22⋊C4—228no—
561C22⋊C4—224no—
562C22⋊C4—224no—
563C22⋊C4—444no—
564C42—1116no—
565C42—228no—
566C42—444no—
567C42—444no—
568C42—444no—
569C11#3425111yescharacteristic, complemented, Sylow
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—48no—
584C23—44no—
585C23—48no—
586C23—84no—
587C23—82no—
588C23—82no—
589C23#66930116yescomplemented
590C23C22×C4×D1114yes—
591C23C22×C4×D1112yes—
592C23C22×C4×D1112yes—
593C23C22×C4×D1112yes—
594C23C2×#434112yes—
595C23C2×#434112yes—
596C23C2×#434112yes—
597C23C2×#434112yes—
598C23C2×#434112yes—
599C23C2×#434112yes—
600C23C24×D1111yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—118no—
617C2×C4—118no—
618C2×C4—114no—
619C2×C4—228no—
620C2×C4—222no—
621C2×C4—224no—
622C2×C4—222no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—224no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—224no—
632C2×C4—448no—
633C2×C4—448no—
634C2×C4—4416no—
635C2×C4—448no—
636C2×C4—448no—
637C2×C4—444no—
638C2×C4—884no—
639C2×C4C22×C4×D1114yes—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—416no—
655C22—44no—
656C22—42no—
657C22—42no—
658C22—88no—
659C22C2×#6693014yes—
660C22C2×#6693014yes—
661C22C2×#6693014yes—
662C22C23×C4×D1111yescharacteristic
663C22C22×#434111yescharacteristic
664C22C22×#434111yescharacteristic
665C22D11×H(5,𝔽2)12yes—
666C22#1062345512yes—
667C4—24no—
668C4—44no—
669C4—42no—
670C4—42no—
671C4—224no—
672C4—228no—
673C4—228no—
674C4—444no—
675C4—442no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#6693011yescharacteristic
681C2#1308182012yes—
682C2#1308230411yescharacteristic
683C2#1308231311yescharacteristic
684C2#1308245312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2308C2
socle, cosocleC23×C11C25
prime radicalC23×D4×C11C22
hypercenter#2308D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #13071554C2semidirect
3. #13071543C2semidirect
4. #13071478C2semidirect
5. #13071467C2semidirect
6. #13071242C2semidirect
7. #13071228C2semidirect
8. #13071056C2semidirect
10. C2×#10622559C2semidirect
11. #13070969C2semidirect
12. C2×C22⋊C4×Dic11C2semidirect
23. #10623329C4semidirect
27. C22×Dic11⋊C4C22semidirect
28. C22×C4×Dic11C22semidirect
29. C2×#66930C22semidirect
38. #10622823C22semidirect
39. C4×C22⋊Dic11C22semidirect
40. C4×C22⋊Dic11C22semidirect
42. C2×C11⋊#95C22semidirect
43. C2×C11⋊#95C22semidirect
46. #10622559C22semidirect
47. #10622559C22semidirect
48. #10622558C22semidirect
49. #10622558C22semidirect
50. #10622557C22semidirect
51. #10622557C22semidirect
52. #10622556C22semidirect
53. #10622555C22semidirect
54. #10622555C22semidirect
57. C22⋊C4×Dic11C22semidirect
58. C22⋊C4×Dic11C22semidirect
59. C22⋊C4×Dic11C22semidirect
60. #10622267C22semidirect
61. #10622267C22semidirect
62. #10622266C22semidirect
63. #10622266C22semidirect
64. #10622264C22semidirect
65. #10622263C22semidirect
66. #10622262C22semidirect
67. #10622261C22semidirect
101. C2×C22⋊Dic11C2×C4semidirect
111. D4×Dic11C2×C4semidirect
112. D4×Dic11C2×C4semidirect
113. #66979C2×C4semidirect
197. C22×Dic11C22×C4semidirect
217. C22⋊Dic11C22×C4semidirect
218. C4⋊Dic11C22×C4semidirect
227. C4×Dic11C22×C4semidirect
260. C23×C11#117semidirect
569. C11#34251semidirect
589. C23#66930semidirect

Maximal subgroups

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

subgroupindex
C2×#106233292
#130715542
#130715432
#130714782
#130714672
#130712422
#130712282
#130710562
C2×#106228332
C2×#106225592
#130709692
C2×C22⋊C4×Dic112
C11×#23082
#3425111