Finite Group Databasebeta

← #14770479

Subgroups — #14770479

Order 2816.

1004 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#4318C211yesmaximal, characteristic, complemented
2#13071094C211yesmaximal, characteristic, complemented
3#13069598C212yesmaximal, complemented
4#13069594C211yesmaximal, characteristic, complemented
5#13069561C211yesmaximal, characteristic, complemented
6#13069561C212yesmaximal, complemented
7#13068636C211yesmaximal, characteristic
8#13068636C212yesmaximal
9#13068426C212yesmaximal
10C4×#66901C211yesmaximal, characteristic
11Q8×C11×#41C211yesmaximal, characteristic
12Q82×C11C411yescharacteristic, complemented
13C11×#557C412yescomplemented
14C11×#557C411yescharacteristic, complemented
15C11×#554—22no—
16C11×#554—21no—
17C11×#554C411yescharacteristic, complemented
18C11×#554C412yescomplemented
19D4×Q8×C11—21no—
20D4×Q8×C11C411yescharacteristic, complemented
21C11×#533—21no—
22C11×#533—22no—
23C11×#533C2211yescharacteristic
24C11×#533C2212yes—
25C4×C11×#41C2211yescharacteristic
26C4×C11×#41C2212yes—
27C2×C4×Q8×C11—21no—
28C2×C4×Q8×C11C2211yescharacteristic
29C2×#66901C2211yescharacteristic
30C2×#66901C2212yes—
31C2×#66901C2211yescharacteristic
32#10622843—21no—
33#10622637—21no—
34#10622637—22no—
35Q8×C11⋊C8—21no—
36#10622598—21no—
37#10622594—22no—
38C4×C4⋊Dic11C2212yes—
39C4×C4⋊Dic11C2211yescharacteristic
40#10622545C2212yes—
41C42×Dic11C2211yescharacteristic
42#10622537C2211yescharacteristic
43#10622537C2212yes—
44C4×#4318C2211yescharacteristic
45C4×#4318C2212yes—
46#10622170C2212yes—
47#10622170C2212yes—
48#10622170C2211yescharacteristic
49#10622170C2212yes—
50#10622170C2212yes—
51#10622170C2211yescharacteristic
52#10622170C2212yes—
53C2×C11×#41C2311yescharacteristic
54C22×Q8×C11—21no—
55C22×Q8×C11D411yescharacteristic
56C11×C4⋊Q8—21no—
57C11×C4⋊Q8—22no—
58C11×C4⋊Q8—22no—
59C11×C4⋊Q8—21no—
60C11×C4⋊Q8C2×C411yescharacteristic
61C11×C4⋊Q8C2×C412yes—
62C11×C4⋊Q8C2×C411yescharacteristic
63C11×C4⋊Q8C2×C412yes—
64C11×#125—22no—
65C11×#125—22no—
66C11×#125—22no—
67C11×#125C2×C412yes—
68C11×#125C2×C412yes—
69C11×#125C2×C412yes—
70C11×C22⋊Q8—21no—
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8—21no—
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8—21no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8—22no—
77C11×C22⋊Q8—21no—
78C11×C22⋊Q8—22no—
79C11×C22⋊Q8—22no—
80C11×C22⋊Q8—22no—
81C4×Q8×C11—21no—
82C4×Q8×C11—22no—
83C4×Q8×C11—21no—
84C4×Q8×C11—21no—
85C4×Q8×C11—22no—
86C4×Q8×C11—22no—
87C4×Q8×C11—21no—
88C4×Q8×C11C2×C411yescharacteristic
89C4×Q8×C11C2×C412yes—
90C4×Q8×C11C2×C411yescharacteristic
91C4×Q8×C11C2×C412yes—
92C4×Q8×C11C2×C411yescharacteristic
93C4×Q8×C11C2×C411yescharacteristic
94C4×Q8×C11C2×C412yes—
95C4×Q8×C11D411yescharacteristic
96C4×Q8×C11D411yescharacteristic
97C4×Q8×C11D412yes—
98C4×D4×C11—21no—
99C4×D4×C11—22no—
100C4×D4×C11—21no—
101C4×D4×C11—22no—
102C4×D4×C11C2×C411yescharacteristic
103C4×D4×C11C2×C412yes—
104C4×D4×C11C2×C411yescharacteristic
105C4×D4×C11C2×C412yes—
106C11×#117—22no—
107C11×#117—21no—
108C11×#117C2311yescharacteristic
109C11×#117C2312yes—
110C2×C11×C4⋊C4—22no—
111C2×C11×C4⋊C4—21no—
112C2×C11×C4⋊C4D412yes—
113C2×C11×C4⋊C4D411yescharacteristic
114C2×C42×C11—21no—
115C2×C42×C11—22no—
116C2×C42×C11C2311yescharacteristic
117C2×C42×C11C2312yes—
118C2×C4⋊Dic11—21no—
119C2×C4⋊Dic11—22no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11—21no—
122C2×C4×Dic11C2311yescharacteristic
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2311yescharacteristic
125C2×#4318C2311yescharacteristic
126C2×#4318C2312yes—
127C2×#4318C2311yescharacteristic
128#66901—22no—
129#66901—24no—
130#66901Q814yescomplemented
131C11⋊#95—22no—
132C11⋊#95—22no—
133C11⋊#95—22no—
134C11⋊#95—21no—
135C4⋊(C11⋊C8)—21no—
136C4⋊(C11⋊C8)—22no—
137C4⋊(C11⋊C8)—22no—
138C4⋊(C11⋊C8)—21no—
139#66867—22no—
140#66867—21no—
141C4×C11⋊C8—21no—
142C4×C11⋊C8—22no—
143#22529—111nomaximal, Sylow
144C11×#41—21no—
145C11×#41—21no—
146C11×#41C2×Q812yes—
147C11×#41#4112yes—
148C2×Q8×C11—22no—
149C2×Q8×C11—21no—
150C2×Q8×C11—22no—
151C2×Q8×C11—21no—
152C2×Q8×C11—42no—
153C2×Q8×C11—44no—
154C2×Q8×C11C22⋊C411yescharacteristic
155C2×Q8×C11C22⋊C411yescharacteristic
156C2×Q8×C11C22⋊C412yes—
157C2×Q8×C11C22×C411yescharacteristic
158C2×D4×C11—21no—
159C2×D4×C11C22×C411yescharacteristic
160C22×C4×C11—21no—
161C22×C4×C11—22no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—22no—
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D412yes—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D412yes—
169C22×C4×C11C2411yescharacteristic
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—22no—
173C11×C4⋊C4—22no—
174C11×C4⋊C4—22no—
175C11×C4⋊C4—22no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4C22⋊C412yes—
188C11×C4⋊C4C22⋊C411yescharacteristic
189C11×C4⋊C4C22⋊C412yes—
190C11×C4⋊C4C22⋊C412yes—
191C11×C4⋊C4C22⋊C412yes—
192C11×C4⋊C4C22⋊C412yes—
193C11×C4⋊C4C22⋊C411yescharacteristic
194C11×C4⋊C4C22×C411yescharacteristic
195C11×C4⋊C4C22×C412yes—
196C11×C4⋊C4C22×C411yescharacteristic
197C11×C4⋊C4C22×C412yes—
198C11×C22⋊C4—21no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—21no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—21no—
204C42×C11—21no—
205C42×C11—22no—
206C42×C11—22no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—22no—
210C42×C11C22×C411yescharacteristic
211C42×C11C22×C412yes—
212C42×C11C22×C412yes—
213C42×C11C22×C411yescharacteristic
214C42×C11C2×D411yescharacteristic
215C42×C11C2×D412yes—
216C42×C11C2×D412yes—
217C42×C11C2×D411yescharacteristic
218C4⋊Dic11—42no—
219C4⋊Dic11—44no—
220C4×Dic11—21no—
221C4×Dic11—22no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11—22no—
225C4×Dic11—42no—
226C4×Dic11—42no—
227C4×Dic11C2×Q812yescomplemented
228#4318—21no—
229#4318—22no—
230#4318—21no—
231#4318—21no—
232#4318—22no—
233#4318C2×Q812yescomplemented
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—22no—
237Q8×#41D1111yescharacteristic
238Q8×M16—111no—
239#2295—111no—
240#1995—112no—
241#1994—111no—
242#1986—111no—
243#1986—112no—
244#1806—111no—
245#1806—112no—
246#1759—112no—
247C4×#104—111no—
248C23×C11—21no—
249C23×C11C22×D411yescharacteristic
250Q8×C11—21no—
251Q8×C11—22no—
252Q8×C11—22no—
253Q8×C11—42no—
254Q8×C11—44no—
255Q8×C11—42no—
256Q8×C11—81no—
257Q8×C11—82no—
258Q8×C11C4×Q812yes—
259D4×C11—22no—
260D4×C11—22no—
261D4×C11—21no—
262D4×C11C4×Q812yes—
263C2×C4×C11—21no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—22no—
270C2×C4×C11—21no—
271C2×C4×C11—41no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—44no—
275C2×C4×C11—42no—
276C2×C4×C11—81no—
277C2×C4×C11—82no—
278C2×C4×C11C2×C22⋊C411yescharacteristic
279C2×C4×C11C2×C22⋊C412yes—
280C2×C4×C11C2×C22⋊C412yes—
281C2×C4×C11C2×C22⋊C411yescharacteristic
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×C4×C11C22×Q811yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C2×C4×C112−1+411yescharacteristic
291C2×C4×C112−1+411yescharacteristic
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C11⋊C8—22no—
302C11⋊C8—41no—
303C11⋊C8—42no—
304Q82Dic1111yescharacteristic, complemented
305#557Dic1112yescomplemented
306#557Dic1111yescharacteristic, complemented
307#554—22no—
308#554—21no—
309#554Dic1111yescharacteristic, complemented
310#554Dic1112yescomplemented
311D4×Q8—21no—
312D4×Q8Dic1111yescharacteristic, complemented
313#533—21no—
314#533—22no—
315#533C2×D1111yescharacteristic
316#533C2×D1112yes—
317C4×#41C2×D1111yescharacteristic
318C4×#41C2×D1112yes—
319C2×C4×Q8—21no—
320C2×C4×Q8C2×D1111yescharacteristic
321#446—221no—
322#446—222no—
323C8×Q8—221no—
324#423—111no—
325#423—112no—
326C2×#104—111no—
327C2×#104—111no—
328C2×#104—112no—
329C4×M16—111no—
330C4×M16—112no—
331#391—221no—
332#389—221no—
333#387—222no—
334C4×C4⋊C4—111no—
335C4×C4⋊C4—112no—
336#376—112no—
337C43—111no—
338#339—112no—
339#339—112no—
340#339—112no—
341#339—111no—
342#339—112no—
343#339—112no—
344#339—111no—
345C22×C11—21no—
346C22×C11—21no—
347C22×C11—22no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11C22×C22⋊C411yescharacteristic
351C22×C11#54811yescharacteristic
352C22×C11D4×Q811yescharacteristic
353C4×C11—22no—
354C4×C11—21no—
355C4×C11—22no—
356C4×C11—22no—
357C4×C11—21no—
358C4×C11—22no—
359C4×C11—21no—
360C4×C11—22no—
361C4×C11—42no—
362C4×C11—41no—
363C4×C11—42no—
364C4×C11—41no—
365C4×C11#42112yes—
366C4×C11C2×C4×Q811yescharacteristic
367C4×C11#51911yescharacteristic
368C4×C11#54811yescharacteristic
369C4×C11D4×Q811yescharacteristic
370Dic11—42no—
371Dic11—42no—
372Dic11—82no—
373C2×#41C22×D1111yescharacteristic
374C22×Q8—21no—
375C22×Q8C22⋊D1111yescharacteristic
376C2×M16—111no—
377C2×M16—112no—
378C2×M16—111no—
379C4⋊Q8—21no—
380C4⋊Q8—22no—
381C4⋊Q8—22no—
382C4⋊Q8—21no—
383C4⋊Q8C2×Dic1111yescharacteristic
384C4⋊Q8C2×Dic1112yes—
385C4⋊Q8C2×Dic1111yescharacteristic
386C4⋊Q8C2×Dic1112yes—
387#125—22no—
388#125—22no—
389#125—22no—
390#125C2×Dic1112yes—
391#125C2×Dic1112yes—
392#125C2×Dic1112yes—
393C22⋊Q8—21no—
394C22⋊Q8—22no—
395C22⋊Q8—21no—
396C22⋊Q8—22no—
397C22⋊Q8—21no—
398C22⋊Q8—22no—
399C22⋊Q8—22no—
400C22⋊Q8—21no—
401C22⋊Q8—22no—
402C22⋊Q8—22no—
403C22⋊Q8—22no—
404C4×Q8—21no—
405C4×Q8—22no—
406C4×Q8—21no—
407C4×Q8—21no—
408C4×Q8—22no—
409C4×Q8—22no—
410C4×Q8—21no—
411C4×Q8C2×Dic1111yescharacteristic
412C4×Q8C2×Dic1112yes—
413C4×Q8C2×Dic1111yescharacteristic
414C4×Q8C2×Dic1112yes—
415C4×Q8C2×Dic1111yescharacteristic
416C4×Q8C2×Dic1111yescharacteristic
417C4×Q8C2×Dic1112yes—
418C4×Q8C22⋊D1111yescharacteristic
419C4×Q8C22⋊D1111yescharacteristic
420C4×Q8C22⋊D1112yes—
421C4×D4—21no—
422C4×D4—22no—
423C4×D4—21no—
424C4×D4—22no—
425C4×D4C2×Dic1111yescharacteristic
426C4×D4C2×Dic1112yes—
427C4×D4C2×Dic1111yescharacteristic
428C4×D4C2×Dic1112yes—
429#117—22no—
430#117—21no—
431#117C22×D1111yescharacteristic
432#117C22×D1112yes—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—222no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4C22⋊D1112yes—
438C2×C4⋊C4C22⋊D1111yescharacteristic
439C2×C42—21no—
440C2×C42—22no—
441C2×C42—111no—
442C2×C42—111no—
443C2×C42—112no—
444C2×C42—221no—
445C2×C42—221no—
446C2×C42C22×D1111yescharacteristic
447C2×C42C22×D1112yes—
448C4⋊C8—221no—
449C4⋊C8—222no—
450C4⋊C8—222no—
451C4⋊C8—221no—
452#104—114no—
453#104—222no—
454#104—224no—
455#97—222no—
456#97—221no—
457C4×C8—221no—
458C4×C8—222no—
459#95—222no—
460#95—222no—
461#95—221no—
462#95—222no—
463C2×C11—21no—
464C2×C11—21no—
465C2×C11—42no—
466C2×C11Q8×C22⋊C411yescharacteristic
467C2×C11C2×#42111yescharacteristic
468C2×C11#290111yescharacteristic
469#41—21no—
470#41—21no—
471#41Q8×D1112yes—
472#41#434312yes—
473C2×Q8—22no—
474C2×Q8—21no—
475C2×Q8—22no—
476C2×Q8—21no—
477C2×Q8—42no—
478C2×Q8—44no—
479C2×Q8C22⋊Dic1111yescharacteristic
480C2×Q8C22⋊Dic1111yescharacteristic
481C2×Q8C22⋊Dic1112yes—
482C2×Q8C22×Dic1111yescharacteristic
483C2×D4—21no—
484C2×D4C22×Dic1111yescharacteristic
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—221no—
491C22×C4—221no—
492C22×C4—222no—
493C22×C4C2×C22⋊D1111yescharacteristic
494C22×C4C2×C22⋊D1112yes—
495C22×C4C2×C22⋊D1111yescharacteristic
496C22×C4C2×C22⋊D1112yes—
497C22×C4C23×D1111yescharacteristic
498M16—112no—
499M16—221no—
500M16—221no—
501M16—222no—
502M16—222no—
503M16—221no—
504C2×C8—221no—
505C2×C8—221no—
506C2×C8—222no—
507C4⋊C4—22no—
508C4⋊C4—22no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—21no—
516C4⋊C4—22no—
517C4⋊C4—21no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—442no—
522C4⋊C4—444no—
523C4⋊C4C22⋊Dic1112yes—
524C4⋊C4C22⋊Dic1111yescharacteristic
525C4⋊C4C22⋊Dic1112yes—
526C4⋊C4C22⋊Dic1112yes—
527C4⋊C4C22⋊Dic1112yes—
528C4⋊C4C22⋊Dic1112yes—
529C4⋊C4C22⋊Dic1111yescharacteristic
530C4⋊C4C22×Dic1111yescharacteristic
531C4⋊C4C22×Dic1112yes—
532C4⋊C4C22×Dic1111yescharacteristic
533C4⋊C4C22×Dic1112yes—
534C22⋊C4—21no—
535C22⋊C4—22no—
536C22⋊C4—21no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—21no—
540C42—21no—
541C42—22no—
542C42—22no—
543C42—21no—
544C42—21no—
545C42—22no—
546C42—112no—
547C42—221no—
548C42—221no—
549C42—222no—
550C42—221no—
551C42—222no—
552C42—442no—
553C42—442no—
554C42C22×Dic1111yescharacteristic
555C42C22×Dic1112yes—
556C42C22×Dic1112yes—
557C42C22×Dic1111yescharacteristic
558C42C2×C22⋊D1111yescharacteristic
559C42C2×C22⋊D1112yes—
560C42C2×C22⋊D1112yes—
561C42C2×C22⋊D1111yescharacteristic
562C11#2252911yescharacteristic, complemented, Sylow
563C23—21no—
564C23C22×C22⋊D1111yescharacteristic
565Q8—21no—
566Q8—22no—
567Q8—22no—
568Q8—42no—
569Q8—44no—
570Q8—42no—
571Q8—81no—
572Q8—82no—
573Q8Q8×Dic1112yes—
574D4—22no—
575D4—22no—
576D4—21no—
577D4Q8×Dic1112yes—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—44no—
590C2×C4—42no—
591C2×C4—81no—
592C2×C4—82no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—441no—
596C2×C4—441no—
597C2×C4—441no—
598C2×C4—441no—
599C2×C4—442no—
600C2×C4—442no—
601C2×C4—442no—
602C2×C4C2×C22⋊Dic1111yescharacteristic
603C2×C4C2×C22⋊Dic1112yes—
604C2×C4C2×C22⋊Dic1112yes—
605C2×C4C2×C22⋊Dic1111yescharacteristic
606C2×C4C2×C22⋊Dic1112yes—
607C2×C4C2×C22⋊Dic1112yes—
608C2×C4C2×C22⋊Dic1111yescharacteristic
609C2×C4C2×C22⋊Dic1111yescharacteristic
610C2×C4C2×Q8×D1111yescharacteristic
611C2×C4C2×#434311yescharacteristic
612C2×C4#6704011yescharacteristic
613C2×C4#6704011yescharacteristic
614C2×C4C23×Dic1111yescharacteristic
615C2×C4C22×C22⋊D1111yescharacteristic
616C8—222no—
617C8—441no—
618C8—442no—
619C22—21no—
620C22—21no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22Q8×C22⋊D1111yescharacteristic
625C22#1062334811yescharacteristic
626C22C22×C22⋊Dic1111yescharacteristic
627C4—22no—
628C4—21no—
629C4—22no—
630C4—22no—
631C4—21no—
632C4—22no—
633C4—21no—
634C4—22no—
635C4—42no—
636C4—41no—
637C4—42no—
638C4—41no—
639C4—442no—
640C4—442no—
641C4—882no—
642C4#1062284912yes—
643C4C2×Q8×Dic1111yescharacteristic
644C4#1062334311yescharacteristic
645C4Q8×C22⋊D1111yescharacteristic
646C4#1062334811yescharacteristic
647C2—21no—
648C2—21no—
649C2—42no—
650C2Q8×C22⋊Dic1111yescharacteristic
651C2C2×#1062284911yescharacteristic
652C2#1307716311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingQ8×C11×#41C2
socleC22×C11C22×C22⋊C4
prime radicalC2×C11×#41C23
cosocleC22×C4×C11C24
hypercenterQ8×#41D11
hypocenterC11#22529
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C4×Q8 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. Q8×#4318C2semidirect
2. #13071094C2semidirect
3. #13069598C2semidirect
4. #13069594C2semidirect
5. #13069561C2semidirect
6. #13069561C2semidirect
12. Q82×C11C4semidirect
13. C11×#557C4semidirect
14. C11×#557C4semidirect
17. C11×#554C4semidirect
18. C11×#554C4semidirect
20. D4×Q8×C11C4semidirect
130. #66901Q8semidirect
227. C4×Dic11C2×Q8semidirect
233. #4318C2×Q8semidirect
304. Q82Dic11semidirect
305. #557Dic11semidirect
306. #557Dic11semidirect
309. #554Dic11semidirect
310. #554Dic11semidirect
312. D4×Q8Dic11semidirect
562. C11#22529semidirect

Maximal subgroups

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

subgroupindex
Q8×#43182
#130710942
#130695982
#130695942
#130695612
#130686362
#130684262
C4×#669012
Q8×C11×#412
#2252911