Finite Group Databasebeta

← #14721562

Subgroups — #14721562

Order 2816.

1014 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077657C211yesmaximal, characteristic, complemented
2#13071556C211yesmaximal, characteristic, complemented
3#13067193C212yesmaximal, complemented
4#13067159C212yesmaximal, complemented
5#13067149C211yesmaximal, characteristic, complemented
6#13067145C211yesmaximal, characteristic, complemented
7#13067136C211yesmaximal, characteristic, complemented
8#13067132C211yesmaximal, characteristic, complemented
9#13067120C212yesmaximal, complemented
10#13067102C212yesmaximal, complemented
11C11×#3505C211yesmaximal, characteristic
12C11×#553—22no—
13C11×#553C412yescomplemented
14C11×#552C412yescomplemented
15C11×#551—22no—
16C11×#548C412yescomplemented
17C11×#546C412yescomplemented
18C11×#539—21no—
19C11×#538—21no—
20C11×#534—21no—
21C11×#529C2212yes—
22C11×#525C2212yes—
23C2×C11×C22⋊Q8C2211yescharacteristic
24C2×C11×#121C2211yescharacteristic
25C11×#518—21no—
26C2×C4×D4×C11C2211yescharacteristic
27#10622833—21no—
28#10622825C2211yescharacteristic, complemented
29#10622824C2211yescharacteristic
30C4×C22⋊Dic11C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic, complemented
32#10622820C2211yescharacteristic
33#10622820C2211yescharacteristic
34#10622820C2212yescomplemented
35#10622625—22no—
36#10622625—22no—
37#10622594—21no—
38#10622564—21no—
39C22⋊C4×Dic11—21no—
40#10622550C2211yescharacteristic, complemented
41#10622545C2211yescharacteristic, complemented
42#10622538C2212yescomplemented
43#10622176C2212yescomplemented
44#10622176C2212yescomplemented
45#10622176C2212yescomplemented
46#10622176C2212yescomplemented
47#10622175C2212yes—
48#10622175C2212yes—
49#10622175C2212yes—
50#10622175C2212yes—
51C2×C11×#41C2×C412yes—
52C22×Q8×C11C2×C411yescharacteristic, complemented
53C22×D4×C11—21no—
54C22×D4×C11C2×C411yescharacteristic, complemented
55C22×D4×C11D411yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C23×Dic11—21no—
59C11×#126—22no—
60C11×#126—22no—
61C11×#126—22no—
62C11×#125—22no—
63C11×#125C2×C412yescomplemented
64C11×#124—22no—
65C11×#124C2×C412yescomplemented
66C11×#123—22no—
67C11×#123—22no—
68C11×#123—22no—
69C11×#123—22no—
70C11×#123—22no—
71C11×C22⋊Q8—21no—
72C11×C22⋊Q8—21no—
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8C2×C412yes—
75C11×C22⋊Q8C2×C412yescomplemented
76C11×C22⋊Q8C2312yes—
77C11×#121—22no—
78C11×#121—22no—
79C11×#121—21no—
80C11×#121—21no—
81C11×#121—22no—
82C11×#121C2×C412yes—
83C11×#121C2×C412yescomplemented
84C11×#121C2312yes—
85C11×#120—22no—
86C11×#120—22no—
87C4×Q8×C11C2×C412yescomplemented
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11C2×C412yes—
94C4×D4×C11C2×C412yes—
95C4×D4×C11C2×C412yescomplemented
96C4×D4×C11D412yes—
97C4×D4×C11D412yes—
98C11×#117—22no—
99C11×#117—22no—
100C11×#117C2×C412yes—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4C2×C411yescharacteristic, complemented
103C2×C11×C4⋊C4C2×C411yescharacteristic, complemented
104C2×C11×C4⋊C4D411yescharacteristic
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—22no—
108C2×C11×C22⋊C4D411yescharacteristic
109C2×C11×C22⋊C4D411yescharacteristic
110C2×C42×C11C2311yescharacteristic
111C2×C22⋊Dic11—21no—
112C2×C22⋊Dic11—21no—
113C2×C22⋊Dic11—21no—
114C2×C4⋊Dic11—21no—
115C2×C4×Dic11—21no—
116C2×C4×Dic11—21no—
117C2×#4318—21no—
118C2×#4318—21no—
119C2×#4318—22no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95C2311yescharacteristic
126C11⋊#95C2311yescharacteristic
127C11⋊#95C2311yescharacteristic
128C11⋊#95C2311yescharacteristic
129C22⋊(C11⋊C8)—21no—
130C22⋊(C11⋊C8)—21no—
131C22⋊(C11⋊C8)—22no—
132C22⋊(C11⋊C8)C2312yes—
133C22⋊(C11⋊C8)C2312yes—
134C4⋊(C11⋊C8)—22no—
135C4×C11⋊C8—22no—
136#17623—111nomaximal, Sylow
137C24×C11—21no—
138C24×C11C2×D411yescharacteristic
139C24×C11C2×D411yescharacteristic
140C11×#41—82no—
141C2×Q8×C11—21no—
142C2×Q8×C11—81no—
143C2×Q8×C11C22×C412yes—
144C2×D4×C11—22no—
145C2×D4×C11—22no—
146C2×D4×C11—22no—
147C2×D4×C11—22no—
148C2×D4×C11—21no—
149C2×D4×C11—41no—
150C2×D4×C11—41no—
151C2×D4×C11—42no—
152C2×D4×C11—42no—
153C2×D4×C11—81no—
154C2×D4×C11C22⋊C412yes—
155C2×D4×C11C22⋊C412yes—
156C2×D4×C11C22×C412yes—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—22no—
161C22×C4×C11—22no—
162C22×C4×C11—81no—
163C22×C4×C11—81no—
164C22×C4×C11C22×C411yescharacteristic
165C22×C4×C11C22×C411yescharacteristic
166C22×C4×C11C22×C412yes—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D412yes—
174C22×C4×C11C2411yescharacteristic
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—21no—
179C22×Dic11—42no—
180C22×Dic11—42no—
181C22×Dic11—81no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—22no—
189C11×C4⋊C4—22no—
190C11×C4⋊C4C22⋊C412yes—
191C11×C4⋊C4C22⋊C412yes—
192C11×C4⋊C4C22×C412yes—
193C11×C4⋊C4C22×C412yes—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—22no—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4C22⋊C412yes—
205C11×C22⋊C4C22⋊C412yes—
206C11×C22⋊C4C22⋊C412yes—
207C11×C22⋊C4C22⋊C412yes—
208C42×C11—22no—
209C42×C11—22no—
210C42×C11C22×C412yes—
211C42×C11C2×D412yes—
212C22⋊Dic11—42no—
213C22⋊Dic11—42no—
214C22⋊Dic11—81no—
215C4⋊Dic11—81no—
216C4×Dic11—42no—
217C4×Dic11—81no—
218#4318—81no—
219#4318—81no—
220#4318—82no—
221C2×C11⋊C8—22no—
222C2×C11⋊C8—22no—
223#3505D1111yescharacteristic
224#2975—111no—
225#2353—111no—
226#1521—112no—
227#1513—112no—
228#1511—111no—
229#1510—111no—
230#1508—111no—
231#1507—111no—
232#1504—112no—
233#1500—112no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—42no—
244C23×C11—81no—
245C23×C11—81no—
246C23×C11C2×C22⋊C411yescharacteristic
247C23×C11C2×C22⋊C412yes—
248C23×C11C2×C22⋊C411yescharacteristic
249C23×C11C22×D411yescharacteristic
250Q8×C11—42no—
251Q8×C11—81no—
252D4×C11—42no—
253D4×C11—42no—
254D4×C11—42no—
255D4×C11—44no—
256D4×C11—42no—
257D4×C11—42no—
258D4×C11—81no—
259D4×C11—82no—
260D4×C11—82no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—42no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—82no—
278C2×C4×C11—82no—
279C2×C4×C11—81no—
280C2×C4×C11—81no—
281C2×C4×C11C2×C22⋊C412yes—
282C2×C4×C11C2×C22⋊C412yes—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C2×C22⋊C411yescharacteristic
285C2×C4×C11C2×C22⋊C411yescharacteristic
286C2×C4×C11C23×C411yescharacteristic
287C2×C4×C11C22×D411yescharacteristic
288C2×Dic11—22no—
289C2×Dic11—41no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—84no—
301C11⋊C8—42no—
302C11⋊C8—42no—
303#553—22no—
304#553Dic1112yescomplemented
305#552Dic1112yescomplemented
306#551—22no—
307#548Dic1112yescomplemented
308#546Dic1112yescomplemented
309#539—21no—
310#538—21no—
311#534—21no—
312#529C2×D1112yes—
313#525C2×D1112yes—
314C2×C22⋊Q8C2×D1111yescharacteristic
315C2×#121C2×D1111yescharacteristic
316#518—21no—
317C2×C4×D4C2×D1111yescharacteristic
318#436—222no—
319#436—222no—
320#431—112no—
321#407—111no—
322#407—111no—
323#407—112no—
324#388—221no—
325#387—221no—
326#386—221no—
327#383—111no—
328#381—111no—
329#380—111no—
330C4×C22⋊C4—111no—
331C4×C22⋊C4—221no—
332#376—111no—
333C2×#95—111no—
334#328—112no—
335#328—112no—
336#328—112no—
337#328—112no—
338#327—112no—
339#327—112no—
340#327—112no—
341#327—112no—
342C22×C11—21no—
343C22×C11—21no—
344C22×C11—21no—
345C22×C11—22no—
346C22×C11—21no—
347C22×C11—21no—
348C22×C11—21no—
349C22×C11—22no—
350C22×C11—21no—
351C22×C11—22no—
352C22×C11—21no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11—162no—
361C22×C11C22×C22⋊C411yescharacteristic
362C22×C11#57511yescharacteristic
363C22×C11#57511yescharacteristic
364C4×C11—21no—
365C4×C11—21no—
366C4×C11—22no—
367C4×C11—21no—
368C4×C11—21no—
369C4×C11—22no—
370C4×C11—22no—
371C4×C11—42no—
372C4×C11—42no—
373C4×C11—42no—
374Dic11—42no—
375Dic11—81no—
376Dic11—81no—
377Dic11—81no—
378C2×#41C2×Dic1112yes—
379C22×Q8C2×Dic1111yescharacteristic, complemented
380C22×D4—21no—
381C22×D4C2×Dic1111yescharacteristic, complemented
382C22×D4C22⋊D1111yescharacteristic
383C23×C4—221no—
384C23×C4C22×D1111yescharacteristic
385C23×C4C22×D1111yescharacteristic
386C2×M16—221no—
387C2×M16—221no—
388C2×M16—222no—
389#126—22no—
390#126—22no—
391#126—22no—
392#125—22no—
393#125C2×Dic1112yescomplemented
394#124—22no—
395#124C2×Dic1112yescomplemented
396#123—22no—
397#123—22no—
398#123—22no—
399#123—22no—
400#123—22no—
401C22⋊Q8—21no—
402C22⋊Q8—21no—
403C22⋊Q8—22no—
404C22⋊Q8C2×Dic1112yes—
405C22⋊Q8C2×Dic1112yescomplemented
406C22⋊Q8C22×D1112yes—
407#121—22no—
408#121—22no—
409#121—21no—
410#121—21no—
411#121—22no—
412#121C2×Dic1112yes—
413#121C2×Dic1112yescomplemented
414#121C22×D1112yes—
415#120—22no—
416#120—22no—
417C4×Q8C2×Dic1112yescomplemented
418C4×D4—22no—
419C4×D4—22no—
420C4×D4—22no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4C2×Dic1112yes—
424C4×D4C2×Dic1112yes—
425C4×D4C2×Dic1112yescomplemented
426C4×D4C22⋊D1112yes—
427C4×D4C22⋊D1112yes—
428#117—22no—
429#117—22no—
430#117C2×Dic1112yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—221no—
433C2×C4⋊C4C2×Dic1111yescharacteristic, complemented
434C2×C4⋊C4C2×Dic1111yescharacteristic, complemented
435C2×C4⋊C4C22⋊D1111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—221no—
440C2×C22⋊C4—221no—
441C2×C22⋊C4—221no—
442C2×C22⋊C4C22⋊D1111yescharacteristic
443C2×C22⋊C4C22⋊D1111yescharacteristic
444C2×C42—221no—
445C2×C42—221no—
446C2×C42C22×D1111yescharacteristic
447C4⋊C8—222no—
448C22⋊C8—112no—
449C22⋊C8—112no—
450C22⋊C8—221no—
451C22⋊C8—221no—
452C22⋊C8—222no—
453C4×C8—222no—
454#95—111no—
455#95—111no—
456#95—111no—
457#95—111no—
458#95—221no—
459#95—221no—
460#95—221no—
461#95—221no—
462#95—221no—
463C2×C11—21no—
464C2×C11—21no—
465C2×C11—42no—
466C2×C11—41no—
467C2×C11—41no—
468C2×C11—82no—
469C2×C11#288311yescharacteristic
470C2×C11#289611yescharacteristic
471C2×C11#290111yescharacteristic
472C24—21no—
473C24C2×C22⋊D1111yescharacteristic
474C24C2×C22⋊D1111yescharacteristic
475#41—82no—
476C2×Q8—21no—
477C2×Q8—81no—
478C2×Q8C22×Dic1112yes—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—21no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4C22⋊Dic1112yes—
490C2×D4C22⋊Dic1112yes—
491C2×D4C22×Dic1112yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—442no—
504C22×C4—442no—
505C22×C4—881no—
506C22×C4C22×Dic1111yescharacteristic
507C22×C4C22×Dic1111yescharacteristic
508C22×C4C22×Dic1112yes—
509C22×C4C2×C22⋊D1111yescharacteristic
510C22×C4C2×C22⋊D1111yescharacteristic
511C22×C4C2×C22⋊D1111yescharacteristic
512C22×C4C2×C22⋊D1111yescharacteristic
513C22×C4C2×C22⋊D1111yescharacteristic
514C22×C4C2×C22⋊D1111yescharacteristic
515C22×C4C2×C22⋊D1112yes—
516C22×C4C23×D1111yescharacteristic
517M16—882no—
518M16—881no—
519M16—881no—
520C2×C8—222no—
521C2×C8—222no—
522C4⋊C4—22no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—881no—
531C4⋊C4C22⋊Dic1112yes—
532C4⋊C4C22⋊Dic1112yes—
533C4⋊C4C22×Dic1112yes—
534C4⋊C4C22×Dic1112yes—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—442no—
546C22⋊C4—442no—
547C22⋊C4—881no—
548C22⋊C4C22⋊Dic1112yes—
549C22⋊C4C22⋊Dic1112yes—
550C22⋊C4C22⋊Dic1112yes—
551C22⋊C4C22⋊Dic1112yes—
552C42—22no—
553C42—22no—
554C42—442no—
555C42—881no—
556C42C22×Dic1112yes—
557C42C2×C22⋊D1112yes—
558C11#1762311yescharacteristic, complemented, Sylow
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—81no—
570C23—81no—
571C23C2×C22⋊Dic1111yescharacteristic
572C23C2×C22⋊Dic1112yes—
573C23C2×C22⋊Dic1111yescharacteristic
574C23C22×C22⋊D1111yescharacteristic
575Q8—42no—
576Q8—81no—
577D4—42no—
578D4—42no—
579D4—42no—
580D4—44no—
581D4—42no—
582D4—42no—
583D4—81no—
584D4—82no—
585D4—82no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—222no—
607C2×C4—441no—
608C2×C4—441no—
609C2×C4—441no—
610C2×C4—441no—
611C2×C4—441no—
612C2×C4—441no—
613C2×C4—441no—
614C2×C4—441no—
615C2×C4—441no—
616C2×C4—441no—
617C2×C4—441no—
618C2×C4—884no—
619C2×C4C2×C22⋊Dic1112yes—
620C2×C4C2×C22⋊Dic1112yes—
621C2×C4C2×C22⋊Dic1112yes—
622C2×C4C2×C22⋊Dic1111yescharacteristic
623C2×C4C2×C22⋊Dic1111yescharacteristic
624C2×C4C23×Dic1111yescharacteristic
625C2×C4C22×C22⋊D1111yescharacteristic
626C8—442no—
627C8—442no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—22no—
632C22—21no—
633C22—21no—
634C22—21no—
635C22—22no—
636C22—21no—
637C22—22no—
638C22—21no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—162no—
647C22#1062335311yescharacteristic
648C22#1062335311yescharacteristic
649C22C22×C22⋊Dic1111yescharacteristic
650C4—21no—
651C4—21no—
652C4—22no—
653C4—21no—
654C4—21no—
655C4—22no—
656C4—22no—
657C4—42no—
658C4—42no—
659C4—42no—
660C4—442no—
661C4—881no—
662C4—881no—
663C4—881no—
664C2—21no—
665C2—21no—
666C2—42no—
667C2—41no—
668C2—41no—
669C2—82no—
670C2#1307707711yescharacteristic
671C2#1307713511yescharacteristic
672C2#1307716311yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#3505C2
socleC22×C11C22×C22⋊C4
cosocleC22×C4×C11C24
hypercenter#3505D11
hypocenterC11#17623
LCSG ▷ C2×C4×C11 ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #13077657C2semidirect
2. #13071556C2semidirect
3. #13067193C2semidirect
4. #13067159C2semidirect
5. #13067149C2semidirect
6. #13067145C2semidirect
7. #13067136C2semidirect
8. #13067132C2semidirect
9. #13067120C2semidirect
10. #13067102C2semidirect
13. C11×#553C4semidirect
14. C11×#552C4semidirect
16. C11×#548C4semidirect
17. C11×#546C4semidirect
28. #10622825C22semidirect
31. C2×C11⋊#95C22semidirect
34. #10622820C22semidirect
40. #10622550C22semidirect
41. #10622545C22semidirect
42. #10622538C22semidirect
43. #10622176C22semidirect
44. #10622176C22semidirect
45. #10622176C22semidirect
46. #10622176C22semidirect
52. C22×Q8×C11C2×C4semidirect
54. C22×D4×C11C2×C4semidirect
63. C11×#125C2×C4semidirect
65. C11×#124C2×C4semidirect
75. C11×C22⋊Q8C2×C4semidirect
83. C11×#121C2×C4semidirect
87. C4×Q8×C11C2×C4semidirect
95. C4×D4×C11C2×C4semidirect
102. C2×C11×C4⋊C4C2×C4semidirect
103. C2×C11×C4⋊C4C2×C4semidirect
304. #553Dic11semidirect
305. #552Dic11semidirect
307. #548Dic11semidirect
308. #546Dic11semidirect
379. C22×Q8C2×Dic11semidirect
381. C22×D4C2×Dic11semidirect
393. #125C2×Dic11semidirect
395. #124C2×Dic11semidirect
405. C22⋊Q8C2×Dic11semidirect
413. #121C2×Dic11semidirect
417. C4×Q8C2×Dic11semidirect
425. C4×D4C2×Dic11semidirect
433. C2×C4⋊C4C2×Dic11semidirect
434. C2×C4⋊C4C2×Dic11semidirect
558. C11#17623semidirect

Maximal subgroups

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

subgroupindex
#130776572
#130715562
#130671932
#130671592
#130671492
#130671452
#130671362
#130671322
#130671202
#130671022
C11×#35052
#1762311