Finite Group Databasebeta

← #14926415

Subgroups — #14926415

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623133C211yesmaximal, characteristic, complemented
2C23×Dic11⋊C4C211yesmaximal, characteristic, complemented
3#13076906C212yesmaximal, complemented
4#13076903C211yesmaximal, characteristic, complemented
5#13074432C211yesmaximal, characteristic, complemented
6#13074400C212yesmaximal, complemented
7#13074360C211yesmaximal, characteristic, complemented
8#13072882C214yesmaximal, complemented
9#13072762C214yesmaximal, complemented
10#13072429C214yesmaximal, complemented
11#13072347C214yesmaximal, complemented
12#13071290C212yesmaximal, complemented
13#13071218C211yesmaximal, characteristic, complemented
14#120×Dic11C212yesmaximal, complemented
15C11×#2847C211yesmaximal, characteristic
16C24×C4×C11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C24×Dic11C2211yescharacteristic
19C2×C11×#121C2211yescharacteristic
20C2×C11×#121C2212yes—
21C2×C11×#120C2212yes—
22C2×#66988C2212yes—
23C2×#66988C2212yes—
24C2×#66988C2212yescomplemented
25C2×D4×Dic11C2212yes—
26C2×D4×Dic11C2214yes—
27C2×#66977C2211yescharacteristic
28C2×#66977C2212yes—
29C22×Dic11⋊C4—28no—
30C22×Dic11⋊C4C2211yescharacteristic
31C22×Dic11⋊C4C2214yes—
32C22×Dic11⋊C4C2214yes—
33C22×Dic11⋊C4C2211yescharacteristic
34C22×Dic11⋊C4C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic
36#10623133—28no—
37C2×#66942C2212yescomplemented
38C2×#66932C2212yescomplemented
39C2×#66931C2212yescomplemented
40C11×#386C2214yes—
41C11×#386C2212yes—
42C11×#380C2211yescharacteristic
43C11×#380C2212yes—
44#10622860C2212yes—
45#10622835C2212yescomplemented
46#10622833C2212yes—
47#10622833C2214yes—
48#10622833C2214yes—
49#10622833C2214yes—
50#10622825C2211yescharacteristic
51#10622825C2212yes—
52#10622823C2214yes—
53#10622823C2212yes—
54#10622596C2214yescomplemented
55#10622593C2212yescomplemented
56#10622591C2214yescomplemented
57#10622565C2214yescomplemented
58#10622563C2212yes—
59#10622563C2214yes—
60#10622562C2214yescomplemented
61#10622561C2214yescomplemented
62#10622559C2214yes—
63#10622559C2214yes—
64#10622559C2214yescomplemented
65#10622557C2214yescomplemented
66#10622556C2212yes—
67#10622556C2212yes—
68C22⋊C4×Dic11C2212yes—
69C22⋊C4×Dic11C2214yes—
70#10622272C2212yescomplemented
71#10622271C2214yescomplemented
72#10622270C2214yescomplemented
73#10622269C2212yescomplemented
74#10622268C2214yescomplemented
75#10622265C2214yescomplemented
76#10622260C2214yescomplemented
77C25×C11C2311yescharacteristic
78C22×D4×C11C2312yes—
79C22×D4×C11C2314yes—
80C22×D4×C11C2311yescharacteristic
81C23×C4×C11—24no—
82C23×C4×C11—44no—
83C23×C4×C11C2312yes—
84C23×C4×C11C2312yes—
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C23×Dic11—24no—
88C23×Dic11—24no—
89C23×Dic11—24no—
90C23×Dic11—24no—
91C23×Dic11—44no—
92C23×Dic11C2314yes—
93C23×Dic11C2314yes—
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2311yescharacteristic
96C23×Dic11C2312yes—
97C23×Dic11C2311yescharacteristic
98C23×Dic11C2311yescharacteristic
99C22×Dic22C2311yescharacteristic
100C11×#121—24no—
101C11×#121—44no—
102C11×#120—28no—
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C11×C22⋊C4C2314yes—
108C2×C11×C22⋊C4C2314yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2314yes—
114C2×C22⋊Dic11C2312yes—
115C2×C22⋊Dic11C2314yes—
116C2×C22⋊Dic11C2314yes—
117C2×C22⋊Dic11C2314yes—
118#66988—28no—
119#66988—28no—
120#66988—28no—
121D4×Dic11—28no—
122D4×Dic11—48no—
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2314yes—
127#66977—24no—
128#66977—44no—
129C2×Dic11⋊C4—24no—
130C2×Dic11⋊C4—24no—
131C2×Dic11⋊C4—24no—
132C2×Dic11⋊C4—216no—
133C2×Dic11⋊C4—216no—
134C2×Dic11⋊C4D418yescomplemented
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2312yes—
137C2×Dic11⋊C4C2314yes—
138C2×Dic11⋊C4C2314yes—
139C2×Dic11⋊C4C2312yes—
140C2×Dic11⋊C4C2312yes—
141C2×Dic11⋊C4C2314yes—
142C2×Dic11⋊C4C2312yes—
143C2×Dic11⋊C4C2314yes—
144C2×Dic11⋊C4C2312yes—
145C2×Dic11⋊C4C2312yes—
146C2×C4×Dic11C2312yes—
147C2×C4×Dic11C2314yes—
148#66942—28no—
149#66932—28no—
150#66931—28no—
151C11×#95C2314yes—
152C11×#95C2312yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2314yes—
161C11⋊#95C2312yes—
162#34989—111nomaximal, Sylow
163C24×C11—22no—
164C24×C11—22no—
165C24×C11—24no—
166C24×C11—24no—
167C24×C11#4114yes—
168C24×C11C2412yes—
169C24×C11C2411yescharacteristic
170C24×C11C2412yes—
171C2×D4×C11—24no—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—28no—
175C2×D4×C11—28no—
176C2×D4×C11—28no—
177C2×D4×C11—22no—
178C2×D4×C11—42no—
179C22×C4×C11—22no—
180C22×C4×C11—24no—
181C22×C4×C11—24no—
182C22×C4×C11—24no—
183C22×C4×C11—24no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11—42no—
187C22×C4×C11—42no—
188C22×C4×C11—416no—
189C22×C4×C11C2×D414yes—
190C22×C4×C11C2414yes—
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C22×Dic11—232no—
196C22×Dic11—28no—
197C22×Dic11—28no—
198C22×Dic11—28no—
199C22×Dic11—24no—
200C22×Dic11—22no—
201C22×Dic11—22no—
202C22×Dic11—22no—
203C22×Dic11—22no—
204C22×Dic11—28no—
205C22×Dic11—22no—
206C22×Dic11—28no—
207C22×Dic11—42no—
208C22×Dic11—44no—
209C22×Dic11—42no—
210C22×Dic11—44no—
211C22×Dic11—416no—
212C22×Dic11C2×D414yes—
213C22×Dic11C2×D414yes—
214C22×Dic11#4114yes—
215C22×Dic11C2412yes—
216C22×Dic11C2414yes—
217C22×Dic11C2412yes—
218C22×Dic11C2412yes—
219C22×Dic11C2412yes—
220C22×Dic11C2412yes—
221C22×Dic11C2412yes—
222C2×Dic22—22no—
223C2×Dic22—42no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—42no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—28no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—44no—
230C22⋊Dic11—24no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—28no—
234C22⋊Dic11—24no—
235C22⋊Dic11—24no—
236C22⋊Dic11—28no—
237C22⋊Dic11—28no—
238C22⋊Dic11—44no—
239C4⋊Dic11—24no—
240C4⋊Dic11—22no—
241C4⋊Dic11—42no—
242C4⋊Dic11—44no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—28no—
246Dic11⋊C4—28no—
247Dic11⋊C4—28no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—44no—
252Dic11⋊C4C2×D418yes—
253Dic11⋊C4C2×D418yes—
254C4×Dic11—24no—
255C4×Dic11—44no—
256C2×#539—111no—
257C23×C4⋊C4—111no—
258#2849—112no—
259#2848—111no—
260#2847D1111yescharacteristic
261#2627—111no—
262#2623—112no—
263#2618—111no—
264#2481—114no—
265#2473—114no—
266#2449—114no—
267#2443—114no—
268#2322—112no—
269#2313—111no—
270C4×#120—112no—
271C23×C11—28no—
272C23×C11—28no—
273C23×C11—216no—
274C23×C11—28no—
275C23×C11—216no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11—22no—
279C23×C11—22no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11—22no—
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—24no—
286C23×C11—24no—
287C23×C11C22×D412yes—
288C23×C11C2×#4112yes—
289C23×C11C2×#4114yes—
290C23×C11C2×#4112yes—
291C23×C11H(5,𝔽2)14yes—
292C23×C112−1+414yes—
293C23×C11C2511yescharacteristic
294D4×C11—48no—
295D4×C11—416no—
296D4×C11—82no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—24no—
304C2×C4×C11—24no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—24no—
308C2×C4×C11—44no—
309C2×C4×C11—48no—
310C2×C4×C11—48no—
311C2×C4×C11—44no—
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D412yes—
314C2×Dic11—232no—
315C2×Dic11—28no—
316C2×Dic11—28no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—24no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—24no—
328C2×Dic11—24no—
329C2×Dic11—24no—
330C2×Dic11—24no—
331C2×Dic11—44no—
332C2×Dic11—416no—
333C2×Dic11—44no—
334C2×Dic11—84no—
335C2×Dic11C22×D414yes—
336C2×Dic11C22×D414yes—
337C2×Dic11C2×#4114yes—
338Dic22—82no—
339C24×C4—111no—
340C24×C4—111no—
341C24×C4C2×D1111yescharacteristic
342#539—228no—
343C2×#126—112no—
344C2×#125—112no—
345C2×#123—112no—
346C2×#123—112no—
347C2×#123—112no—
348C2×C22⋊Q8—111no—
349C2×C22⋊Q8—112no—
350C2×C22⋊Q8—112no—
351C2×#121C2×D1111yescharacteristic
352C2×#121C2×D1112yes—
353C2×#120C2×D1112yes—
354C2×C4×D4—112no—
355C2×C4×D4—114no—
356C22×C4⋊C4—111no—
357C22×C4⋊C4—111no—
358C22×C4⋊C4—111no—
359C22×C4⋊C4—111no—
360C22×C4⋊C4—114no—
361C22×C4⋊C4—114no—
362C22×C4⋊C4—228no—
363#400—114no—
364#400—112no—
365#399—114no—
366#398—112no—
367#398—114no—
368#398—114no—
369#397—114no—
370#396—114no—
371#395—112no—
372#394—112no—
373#389—114no—
374#388—114no—
375#387—114no—
376#387—114no—
377#387—114no—
378#386—114no—
379#386—114no—
380#386—112no—
381#386—114no—
382#386C2×D1112yes—
383#386C2×D1114yes—
384#385—112no—
385#385—114no—
386#385—114no—
387#385—114no—
388#385—114no—
389#385—112no—
390#385—114no—
391#381—112no—
392#381—112no—
393#380—111no—
394#380—112no—
395#380C2×D1111yescharacteristic
396#380C2×D1112yes—
397#379—112no—
398C4×C22⋊C4—112no—
399C4×C22⋊C4—114no—
400C22×C11—232no—
401C22×C11—24no—
402C22×C11—24no—
403C22×C11—24no—
404C22×C11—22no—
405C22×C11—24no—
406C22×C11—22no—
407C22×C11—24no—
408C22×C11—24no—
409C22×C11—24no—
410C22×C11—24no—
411C22×C11—42no—
412C22×C11—44no—
413C22×C11—42no—
414C22×C11—42no—
415C22×C11—44no—
416C22×C11#52514yes—
417C22×C11#53918yescomplemented
418C22×C11C23×D411yescharacteristic
419C22×C11C22×#4111yescharacteristic
420C22×C11C22×#4111yescharacteristic
421C22×C11C2×H(5,𝔽2)12yes—
422C22×C11C2×2−1+412yes—
423C4×C11—22no—
424C4×C11—22no—
425C4×C11—42no—
426C4×C11—44no—
427C4×C11—42no—
428Dic11—24no—
429Dic11—24no—
430Dic11—24no—
431Dic11—42no—
432Dic11—42no—
433Dic11—42no—
434Dic11—44no—
435C25C22×D1111yescharacteristic
436C22×Q8—111no—
437C22×D4C22×D1112yes—
438C22×D4C22×D1114yes—
439C22×D4C22×D1111yescharacteristic
440C23×C4—24no—
441C23×C4—44no—
442C23×C4—111no—
443C23×C4—111no—
444C23×C4—111no—
445C23×C4—114no—
446C23×C4—114no—
447C23×C4—111no—
448C23×C4—112no—
449C23×C4—224no—
450C23×C4—224no—
451C23×C4—224no—
452C23×C4—224no—
453C23×C4—444no—
454C23×C4C22×D1112yes—
455C23×C4C22×D1112yes—
456C23×C4C22×D1111yescharacteristic
457C23×C4C22×D1111yescharacteristic
458#126—228no—
459#125—228no—
460#123—228no—
461#123—228no—
462#123—228no—
463C22⋊Q8—228no—
464C22⋊Q8—224no—
465C22⋊Q8—444no—
466#121—24no—
467#121—44no—
468#120—28no—
469C4×D4—228no—
470C4×D4—448no—
471C2×C4⋊C4—118no—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—112no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—112no—
483C2×C4⋊C4—114no—
484C2×C4⋊C4—114no—
485C2×C4⋊C4—112no—
486C2×C4⋊C4—114no—
487C2×C4⋊C4—2216no—
488C2×C4⋊C4—2216no—
489C2×C4⋊C4—224no—
490C2×C4⋊C4—224no—
491C2×C4⋊C4—224no—
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1112yes—
494C2×C22⋊C4—112no—
495C2×C22⋊C4—114no—
496C2×C22⋊C4—112no—
497C2×C22⋊C4—112no—
498C2×C22⋊C4—112no—
499C2×C22⋊C4—112no—
500C2×C22⋊C4—114no—
501C2×C22⋊C4—114no—
502C2×C22⋊C4—114no—
503C2×C22⋊C4C22×D1112yes—
504C2×C22⋊C4C22×D1114yes—
505C2×C22⋊C4C22×D1112yes—
506C2×C22⋊C4C22×D1114yes—
507C2×C42—112no—
508C2×C42—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—112no—
513#95—114no—
514#95—114no—
515#95—114no—
516#95—114no—
517#95—114no—
518#95C22×D1112yes—
519#95C22×D1114yes—
520C2×C11—24no—
521C2×C11—28no—
522C2×C11—82no—
523C2×C11C2×#52511yescharacteristic
524C2×C11C2×#53912yes—
525C2×C11#348411yescharacteristic
526C2×C11#348611yescharacteristic
527C2×C11#349212yes—
528C24—22no—
529C24—24no—
530C24—22no—
531C24—24no—
532C24#434114yes—
533C24C23×D1112yes—
534C24C23×D1111yescharacteristic
535C24C23×D1112yes—
536C2×Q8—222no—
537C2×Q8—442no—
538C2×D4—24no—
539C2×D4—28no—
540C2×D4—24no—
541C2×D4—28no—
542C2×D4—24no—
543C2×D4—28no—
544C2×D4—22no—
545C2×D4—42no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—416no—
556C22×C4—114no—
557C22×C4—114no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—112no—
561C22×C4—114no—
562C22×C4—112no—
563C22×C4—114no—
564C22×C4—112no—
565C22×C4—112no—
566C22×C4—228no—
567C22×C4—228no—
568C22×C4—228no—
569C22×C4—224no—
570C22×C4—2232no—
571C22×C4—222no—
572C22×C4—228no—
573C22×C4—222no—
574C22×C4—222no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—228no—
578C22×C4—442no—
579C22×C4—444no—
580C22×C4—442no—
581C22×C4—444no—
582C22×C4—4416no—
583C22×C4D4×D1114yes—
584C22×C4C23×D1114yes—
585C22×C4C23×D1112yes—
586C22×C4C23×D1112yes—
587C22×C4C23×D1111yescharacteristic
588C22×C4C23×D1111yescharacteristic
589C4⋊C4—22no—
590C4⋊C4—42no—
591C4⋊C4—118no—
592C4⋊C4—118no—
593C4⋊C4—228no—
594C4⋊C4—228no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—228no—
599C4⋊C4—224no—
600C4⋊C4—224no—
601C4⋊C4—224no—
602C4⋊C4—222no—
603C4⋊C4—444no—
604C4⋊C4—444no—
605C4⋊C4—442no—
606C22⋊C4—28no—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—44no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—224no—
613C22⋊C4—228no—
614C22⋊C4—224no—
615C22⋊C4—228no—
616C22⋊C4—224no—
617C22⋊C4—228no—
618C22⋊C4—444no—
619C42—224no—
620C42—444no—
621C11#3498911yescharacteristic, complemented, Sylow
622C23—28no—
623C23—28no—
624C23—216no—
625C23—216no—
626C23—28no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—24no—
636C23—22no—
637C23—24no—
638C23C2×D4×D1112yes—
639C23C2×#434114yes—
640C23C2×#434112yes—
641C23#6703714yes—
642C23#41×D1112yes—
643C23#6704314yes—
644C23C24×D1111yescharacteristic
645Q8—882no—
646D4—416no—
647D4—48no—
648D4—82no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—44no—
661C2×C4—48no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—114no—
665C2×C4—114no—
666C2×C4—114no—
667C2×C4—2232no—
668C2×C4—228no—
669C2×C4—228no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—224no—
681C2×C4—224no—
682C2×C4—224no—
683C2×C4—224no—
684C2×C4—444no—
685C2×C4—4416no—
686C2×C4—444no—
687C2×C4—884no—
688C2×C4C2×D4×D1112yes—
689C2×C4C2×D4×D1112yes—
690C22—232no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—22no—
695C22—24no—
696C22—22no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—42no—
702C22—44no—
703C22—42no—
704C22—42no—
705C22—44no—
706C22#1062313318yescomplemented
707C22#1062313714yes—
708C22C22×D4×D1111yescharacteristic
709C22C22×#434111yescharacteristic
710C22C2×#6703712yes—
711C22C2×#41×D1111yescharacteristic
712C22C2×#6704312yes—
713C4—22no—
714C4—22no—
715C4—42no—
716C4—44no—
717C4—42no—
718C4—224no—
719C4—224no—
720C4—224no—
721C4—442no—
722C4—442no—
723C4—442no—
724C4—444no—
725C2—28no—
726C2—24no—
727C2—82no—
728C2C2×#1062313711yescharacteristic
729C2C2×#1062313312yes—
730C2#1308224511yescharacteristic
731C2#1308226311yescharacteristic
732C2#1308231712yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
Fitting, prime radicalC11×#2847C2
hypercenter#2847D11
hypocenterC11#34989
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#10623133C2semidirect
2. C23×Dic11⋊C4C2semidirect
3. #13076906C2semidirect
4. #13076903C2semidirect
5. #13074432C2semidirect
6. #13074400C2semidirect
7. #13074360C2semidirect
8. #13072882C2semidirect
9. #13072762C2semidirect
10. #13072429C2semidirect
11. #13072347C2semidirect
12. #13071290C2semidirect
13. #13071218C2semidirect
14. #120×Dic11C2semidirect
24. C2×#66988C22semidirect
37. C2×#66942C22semidirect
38. C2×#66932C22semidirect
39. C2×#66931C22semidirect
45. #10622835C22semidirect
54. #10622596C22semidirect
55. #10622593C22semidirect
56. #10622591C22semidirect
57. #10622565C22semidirect
60. #10622562C22semidirect
61. #10622561C22semidirect
64. #10622559C22semidirect
65. #10622557C22semidirect
70. #10622272C22semidirect
71. #10622271C22semidirect
72. #10622270C22semidirect
73. #10622269C22semidirect
74. #10622268C22semidirect
75. #10622265C22semidirect
76. #10622260C22semidirect
134. C2×Dic11⋊C4D4semidirect
417. C22×C11#539semidirect
621. C11#34989semidirect
706. C22#10623133semidirect

Maximal subgroups

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

subgroupindex
C2×#106231332
C23×Dic11⋊C42
#130769062
#130769032
#130744322
#130744002
#130743602
#130728822
#130727622
#130724292
#130723472
#130712902
#130712182
#120×Dic112
C11×#28472
#3498911