Finite Group Databasebeta

← #14960774

Subgroups — #14960774

Order 2816.

2450 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C22×#66982C211yesmaximal, characteristic
3#13076903C211yesmaximal, characteristic, complemented
4#13075040C214yesmaximal, complemented
5#13075038C214yesmaximal, complemented
6#13074958C214yesmaximal, complemented
7#13074955C214yesmaximal, complemented
8#13074432C211yesmaximal, characteristic, complemented
9#13074431C211yesmaximal, characteristic, complemented
10#13073771C212yesmaximal, complemented
11#13073092C212yesmaximal, complemented
12#13072896C212yesmaximal, complemented
13#13071941C212yesmaximal
14#13071213C211yesmaximal, characteristic, complemented
15C11×#2848C211yesmaximal, characteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C23×C22⋊D11C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×C22⋊Q8C2212yescomplemented
20C22×C22⋊Dic11C2211yescharacteristic
21C2×#66999C2212yescomplemented
22C2×#66982—28no—
23C2×#66982C2214yes—
24C2×#66982C2214yes—
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C2×#66977C2211yescharacteristic
28C2×#66977C2212yescomplemented
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31#10623165—28no—
32C2×#66950C2212yescomplemented
33C2×#66949C2212yescomplemented
34C2×#66949C2212yescomplemented
35C2×#66936C2214yes—
36C2×C22⋊C4×D11C2212yes—
37C2×#66931C2212yes—
38C11×#385C2212yes—
39C11×#385C2214yescomplemented
40C11×#380C2211yescharacteristic
41C11×#380C2212yescomplemented
42C11×#379C2212yes—
43#10622860C2212yes—
44#10622842C2212yescomplemented
45#10622825C2211yescharacteristic
46#10622825C2212yescomplemented
47#10622823C2212yes—
48#10622823C2214yescomplemented
49#10622606C2214yescomplemented
50#10622603C2214yescomplemented
51#10622602C2214yescomplemented
52#10622597C2214yescomplemented
53#10622597C2214yescomplemented
54#10622596C2214yescomplemented
55#10622595C2212yescomplemented
56#10622589C2214yescomplemented
57#10622574C2214yes—
58#10622572C2214yes—
59#10622569C2214yes—
60#10622568C2212yes—
61#10622565C2214yescomplemented
62#10622564C2214yescomplemented
63#10622563C2212yes—
64#10622560C2214yescomplemented
65#10622559C2212yes—
66#10622557C2214yescomplemented
67#10622556C2212yes—
68#10622556C2212yes—
69C22⋊C4×Dic11C2212yes—
70#10622288C2214yescomplemented
71#10622283C2214yescomplemented
72#10622277C2214yescomplemented
73#10622272C2212yescomplemented
74#10622270C2214yescomplemented
75#10622269C2212yescomplemented
76#10622259C2214yescomplemented
77C25×C11C2311yescharacteristic
78C24×D11C2311yescharacteristic
79C22×Q8×C11C2311yescharacteristic
80C23×C4×C11—24no—
81C23×C4×C11—44no—
82C23×C4×C11C2312yes—
83C23×C4×C11C2312yes—
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C22×C22⋊D11—24no—
87C22×C22⋊D11—44no—
88C22×C22⋊D11C2314yes—
89C23×Dic11C2311yescharacteristic
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C22×C4×D11C2312yes—
93C22×C4×D11C2312yes—
94C22×Dic22C2312yes—
95C22×Dic22C2311yescharacteristic
96C11×C22⋊Q8—24no—
97C11×C22⋊Q8—44no—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2314yes—
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C22⋊C4C2312yes—
103C2×C11×C22⋊C4C2314yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2314yes—
106C2×C22⋊Dic11—24no—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2314yes—
109C2×C22⋊Dic11C2314yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2314yes—
112#66999—28no—
113#66982—216no—
114#66982—216no—
115C2×(C2×D11)⋊C4—24no—
116C2×(C2×D11)⋊C4D418yes—
117C2×(C2×D11)⋊C4C2312yes—
118C2×(C2×D11)⋊C4C2312yes—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2312yes—
123C2×(C2×D11)⋊C4C2312yes—
124C2×C4⋊Dic11C2312yes—
125C2×C4⋊Dic11C2311yescharacteristic
126C2×C4⋊Dic11C2314yes—
127C2×C4⋊Dic11C2312yes—
128#66977—24no—
129#66977—44no—
130C2×Dic11⋊C4—24no—
131C2×Dic11⋊C4—24no—
132C2×Dic11⋊C4C2312yes—
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2312yes—
137C2×Dic11⋊C4C2312yes—
138C2×Dic11⋊C4C2314yes—
139C2×Dic11⋊C4C2314yes—
140C2×C4×Dic11C2314yes—
141#66950—28no—
142#66949—28no—
143#66949—28no—
144#66936—48no—
145C22⋊C4×D11—28no—
146#66931—28no—
147C11×#95C2314yes—
148C11×#95C2312yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2312yes—
158#36720—111nomaximal, Sylow
159C24×C11—22no—
160C24×C11—24no—
161C24×C11—22no—
162C24×C11—22no—
163C24×C11—42no—
164C24×C11C2412yes—
165C24×C11C2411yescharacteristic
166C23×D11—22no—
167C23×D11—22no—
168C23×D11—42no—
169C23×D11—42no—
170C23×D11C2×D414yes—
171C23×D11C2412yes—
172C2×Q8×C11—22no—
173C2×Q8×C11—42no—
174C22×C4×C11—22no—
175C22×C4×C11—24no—
176C22×C4×C11—24no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11—42no—
183C22×C4×C11—416no—
184C22×C4×C11C2×D414yes—
185C22×C4×C11C2414yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C2×C22⋊D11—28no—
192C2×C22⋊D11—28no—
193C2×C22⋊D11—44no—
194C2×C22⋊D11—416no—
195C22×Dic11—22no—
196C22×Dic11—22no—
197C22×Dic11—22no—
198C22×Dic11—22no—
199C22×Dic11—42no—
200C22×Dic11—42no—
201C22×Dic11C2×D414yes—
202C22×Dic11C2412yes—
203C22×Dic11C2414yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—44no—
211C2×C4×D11—44no—
212C2×Dic22—24no—
213C2×Dic22—22no—
214C2×Dic22—42no—
215C2×Dic22—44no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—24no—
218C11×C4⋊C4—42no—
219C11×C4⋊C4—44no—
220C11×C22⋊C4—24no—
221C11×C22⋊C4—28no—
222C11×C22⋊C4—24no—
223C11×C22⋊C4—44no—
224C22⋊Dic11—28no—
225C22⋊Dic11—24no—
226C22⋊Dic11—28no—
227C22⋊Dic11—24no—
228C22⋊Dic11—44no—
229(C2×D11)⋊C4—24no—
230(C2×D11)⋊C4—24no—
231(C2×D11)⋊C4—28no—
232(C2×D11)⋊C4—44no—
233(C2×D11)⋊C4—44no—
234(C2×D11)⋊C4C2×D418yes—
235(C2×D11)⋊C4C2×D418yes—
236C4⋊Dic11—24no—
237C4⋊Dic11—22no—
238C4⋊Dic11—44no—
239C4⋊Dic11—42no—
240Dic11⋊C4—24no—
241Dic11⋊C4—24no—
242Dic11⋊C4—28no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—44no—
247Dic11⋊C4—44no—
248C4×Dic11—44no—
249C2×#543—111no—
250C22×#123—111no—
251#2848—111no—
252#2848D1111yescharacteristic, complemented
253#2687—114no—
254#2687—114no—
255#2680—114no—
256#2680—114no—
257#2627—111no—
258#2627—111no—
259#2561—112no—
260#2502—112no—
261#2483—112no—
262#2405—112no—
263#2312—111no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—28no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—22no—
273C23×C11—48no—
274C23×C11—48no—
275C23×C11—44no—
276C23×C11—44no—
277C23×C11C22×D412yes—
278C23×C11H(5,𝔽2)14yes—
279C23×C112−1+412yes—
280C23×C112−1+412yes—
281C23×C11C2511yescharacteristic
282C22×D11—24no—
283C22×D11—22no—
284C22×D11—22no—
285C22×D11—24no—
286C22×D11—28no—
287C22×D11—44no—
288C22×D11—44no—
289C22×D11—84no—
290C22×D11—84no—
291C22×D11C22×D414yes—
292Q8×C11—82no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—22no—
302C2×C4×C11—24no—
303C2×C4×C11—24no—
304C2×C4×C11—24no—
305C2×C4×C11—44no—
306C2×C4×C11—48no—
307C2×C4×C11—48no—
308C2×C4×C11—44no—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C22×D412yes—
311C22⋊D11—416no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—24no—
318C2×Dic11—24no—
319C2×Dic11—24no—
320C2×Dic11—24no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—24no—
324C2×Dic11—24no—
325C2×Dic11—44no—
326C2×Dic11—44no—
327C2×Dic11—44no—
328C2×Dic11C22×D414yes—
329C4×D11—84no—
330C4×D11—84no—
331Dic22—84no—
332Dic22—82no—
333C23×D4—111no—
334C24×C4C2×D1111yescharacteristic
335#543—228no—
336C2×#123—114no—
337C2×#123—114no—
338C2×#123—114no—
339C2×#123—228no—
340C2×C22⋊Q8—112no—
341C2×C22⋊Q8—111no—
342C2×C22⋊Q8—112no—
343C2×C22⋊Q8—112no—
344C2×C22⋊Q8—112no—
345C2×C22⋊Q8—112no—
346C2×C22⋊Q8—112no—
347C2×C22⋊Q8C2×D1111yescharacteristic
348C2×C22⋊Q8C2×D1112yescomplemented
349C22×C4⋊C4—111no—
350C22×C4⋊C4—111no—
351C22×C22⋊C4—111no—
352C22×C22⋊C4—111no—
353C22×C22⋊C4—111no—
354C22×C22⋊C4—112no—
355#400—112no—
356#400—112no—
357#398—114no—
358#398—114no—
359#398—114no—
360#398—114no—
361#397—114no—
362#397—114no—
363#397—114no—
364#395—112no—
365#395—112no—
366#394—114no—
367#394—114no—
368#393—114no—
369#391—114no—
370#388—114no—
371#388—114no—
372#388—114no—
373#388—114no—
374#386—114no—
375#385—112no—
376#385—114no—
377#385—114no—
378#385—112no—
379#385—112no—
380#385C2×D1112yes—
381#385C2×D1114yescomplemented
382#384—114no—
383#381—112no—
384#381—112no—
385#381—114no—
386#380—111no—
387#380—112no—
388#380C2×D1111yescharacteristic
389#380C2×D1112yescomplemented
390#379—112no—
391#379—112no—
392#379C2×D1112yes—
393C4×C22⋊C4—112no—
394C22×C11—22no—
395C22×C11—22no—
396C22×C11—24no—
397C22×C11—24no—
398C22×C11—24no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11—416no—
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—42no—
405C22×C11—42no—
406C22×C11#53614yes—
407C22×C11C23×D411yescharacteristic
408C22×C11C2×H(5,𝔽2)12yes—
409C22×C11C2×2−1+411yescharacteristic
410C22×C11C2×2−1+411yescharacteristic
411C22×C11#58512yes—
412C2×D11—24no—
413C2×D11—24no—
414C2×D11—24no—
415C2×D11—44no—
416C2×D11—44no—
417C2×D11—88no—
418C4×C11—22no—
419C4×C11—22no—
420C4×C11—42no—
421C4×C11—42no—
422C4×C11—42no—
423C4×C11—44no—
424Dic11—24no—
425Dic11—42no—
426Dic11—42no—
427Dic11—42no—
428Dic11—42no—
429Dic11—44no—
430C25—111no—
431C25C22×D1111yescharacteristic
432C22×Q8—111no—
433C22×Q8—112no—
434C22×Q8C22×D1111yescharacteristic
435C22×D4—114no—
436C22×D4—224no—
437C22×D4—444no—
438C23×C4—24no—
439C23×C4—44no—
440C23×C4—111no—
441C23×C4—111no—
442C23×C4—111no—
443C23×C4—112no—
444C23×C4—112no—
445C23×C4C22×D1112yes—
446C23×C4C22×D1112yes—
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1111yescharacteristic
449#123—2216no—
450#123—2216no—
451#123—448no—
452C22⋊Q8—24no—
453C22⋊Q8—44no—
454C22⋊Q8—228no—
455C22⋊Q8—228no—
456C22⋊Q8—228no—
457C22⋊Q8—228no—
458C22⋊Q8—228no—
459C22⋊Q8—224no—
460C22⋊Q8—444no—
461C2×C4⋊C4—114no—
462C2×C4⋊C4—112no—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—112no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—112no—
468C2×C4⋊C4—112no—
469C2×C4⋊C4—112no—
470C2×C4⋊C4—114no—
471C2×C4⋊C4—114no—
472C2×C4⋊C4—114no—
473C2×C4⋊C4—224no—
474C2×C4⋊C4—224no—
475C2×C4⋊C4C22×D1111yescharacteristic
476C2×C4⋊C4C22×D1112yes—
477C2×C4⋊C4C22×D1112yes—
478C2×C4⋊C4C22×D1114yes—
479C2×C22⋊C4—118no—
480C2×C22⋊C4—112no—
481C2×C22⋊C4—112no—
482C2×C22⋊C4—112no—
483C2×C22⋊C4—114no—
484C2×C22⋊C4—114no—
485C2×C22⋊C4—112no—
486C2×C22⋊C4—112no—
487C2×C22⋊C4—112no—
488C2×C22⋊C4—114no—
489C2×C22⋊C4—114no—
490C2×C22⋊C4—114no—
491C2×C22⋊C4—114no—
492C2×C22⋊C4—228no—
493C2×C22⋊C4—224no—
494C2×C22⋊C4—224no—
495C2×C22⋊C4C22×D1112yes—
496C2×C22⋊C4C22×D1114yes—
497C2×C22⋊C4C22×D1112yes—
498C2×C22⋊C4C22×D1114yes—
499C2×C42—114no—
500#95—114no—
501#95—114no—
502#95—112no—
503#95—114no—
504#95—114no—
505#95—114no—
506#95—114no—
507#95—114no—
508#95—114no—
509#95C22×D1112yes—
510#95C22×D1114yes—
511C2×C11—24no—
512C2×C11—44no—
513C2×C11C2×#53611yescharacteristic
514C2×C11#348411yescharacteristic
515C2×C11#348511yescharacteristic
516C2×C11#353512yes—
517C2×C11#353512yes—
518D11—44no—
519C24—22no—
520C24—24no—
521C24—22no—
522C24—22no—
523C24—42no—
524C24—112no—
525C24—114no—
526C24—222no—
527C24—222no—
528C24—442no—
529C24—442no—
530C24C23×D1112yes—
531C24C23×D1111yescharacteristic
532C2×Q8—22no—
533C2×Q8—42no—
534C2×Q8—224no—
535C2×Q8—222no—
536C2×Q8—442no—
537C2×Q8—444no—
538C2×D4—228no—
539C2×D4—228no—
540C2×D4—444no—
541C2×D4—4416no—
542C22×C4—22no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—416no—
552C22×C4—112no—
553C22×C4—114no—
554C22×C4—112no—
555C22×C4—114no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—224no—
560C22×C4—224no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—444no—
566C22×C4—444no—
567C22×C4—442no—
568C22×C4—442no—
569C22×C4D4×D1114yes—
570C22×C4C23×D1114yes—
571C22×C4C23×D1112yes—
572C22×C4C23×D1112yes—
573C22×C4C23×D1112yes—
574C22×C4C23×D1111yescharacteristic
575C22×C4C23×D1111yescharacteristic
576C4⋊C4—22no—
577C4⋊C4—24no—
578C4⋊C4—42no—
579C4⋊C4—44no—
580C4⋊C4—228no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—222no—
588C4⋊C4—444no—
589C4⋊C4—442no—
590C4⋊C4—444no—
591C4⋊C4—444no—
592C22⋊C4—24no—
593C22⋊C4—28no—
594C22⋊C4—24no—
595C22⋊C4—44no—
596C22⋊C4—118no—
597C22⋊C4—118no—
598C22⋊C4—224no—
599C22⋊C4—224no—
600C22⋊C4—228no—
601C22⋊C4—228no—
602C22⋊C4—224no—
603C22⋊C4—228no—
604C22⋊C4—224no—
605C22⋊C4—444no—
606C22⋊C4—444no—
607C22⋊C4—444no—
608C42—444no—
609C11#3672011yescharacteristic, complemented, Sylow
610C23—22no—
611C23—22no—
612C23—28no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—48no—
620C23—48no—
621C23—44no—
622C23—44no—
623C23—114no—
624C23—224no—
625C23—222no—
626C23—222no—
627C23—224no—
628C23—228no—
629C23—444no—
630C23—444no—
631C23—884no—
632C23—884no—
633C23C2×D4×D1112yes—
634C23#6703714yes—
635C23#6704012yes—
636C23#6704312yes—
637C23C24×D1111yescharacteristic
638Q8—82no—
639Q8—882no—
640Q8—884no—
641D4—4416no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—44no—
655C2×C4—48no—
656C2×C4—48no—
657C2×C4—44no—
658C2×C4—114no—
659C2×C4—224no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—224no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—444no—
673C2×C4—444no—
674C2×C4—444no—
675C2×C4—884no—
676C2×C4—884no—
677C2×C4C2×D4×D1112yes—
678C2×C4C2×D4×D1112yes—
679C22—22no—
680C22—22no—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—416no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—224no—
692C22—224no—
693C22—224no—
694C22—444no—
695C22—444no—
696C22—888no—
697C22#1062315914yes—
698C22C22×D4×D1111yescharacteristic
699C22C2×#6703712yes—
700C22C2×#6704011yescharacteristic
701C22C2×#6704311yescharacteristic
702C22#1062345312yes—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—44no—
709C4—224no—
710C4—442no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4—444no—
715C2—24no—
716C2—44no—
717C2—444no—
718C2C2×#1062315911yescharacteristic
719C2#1308224511yescharacteristic
720C2#1308225811yescharacteristic
721C2#1308281912yes—
722C2#1308282512yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2848C2
prime radicalC23×C22⋊D11C22
hypercenter#2848D11
hypocenterC11#36720
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076903C2semidirect
4. #13075040C2semidirect
5. #13075038C2semidirect
6. #13074958C2semidirect
7. #13074955C2semidirect
8. #13074432C2semidirect
9. #13074431C2semidirect
10. #13073771C2semidirect
11. #13073092C2semidirect
12. #13072896C2semidirect
14. #13071213C2semidirect
15. C11×#2848C2semidirect
19. C2×C11×C22⋊Q8C22semidirect
21. C2×#66999C22semidirect
28. C2×#66977C22semidirect
32. C2×#66950C22semidirect
33. C2×#66949C22semidirect
34. C2×#66949C22semidirect
39. C11×#385C22semidirect
41. C11×#380C22semidirect
44. #10622842C22semidirect
46. #10622825C22semidirect
48. #10622823C22semidirect
49. #10622606C22semidirect
50. #10622603C22semidirect
51. #10622602C22semidirect
52. #10622597C22semidirect
53. #10622597C22semidirect
54. #10622596C22semidirect
55. #10622595C22semidirect
56. #10622589C22semidirect
61. #10622565C22semidirect
62. #10622564C22semidirect
64. #10622560C22semidirect
66. #10622557C22semidirect
70. #10622288C22semidirect
71. #10622283C22semidirect
72. #10622277C22semidirect
73. #10622272C22semidirect
74. #10622270C22semidirect
75. #10622269C22semidirect
76. #10622259C22semidirect
252. #2848D11semidirect
348. C2×C22⋊Q8C2×D11semidirect
381. #385C2×D11semidirect
389. #380C2×D11semidirect
609. C11#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C22×#669822
#130769032
#130750402
#130750382
#130749582
#130749552
#130744322
#130744312
#130737712
#130730922
#130728962
#130719412
#130712132
C11×#28482
#3672011