Finite Group Databasebeta

← #14720150

Subgroups — #14720150

Order 2816.

1290 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
1C4×#67037C211yesmaximal, characteristic
2#13077725C211yesmaximal, characteristic, complemented
3C8×#4339C211yesmaximal, characteristic, complemented
4#13067007C211yesmaximal, characteristic, complemented
5#13067005C212yesmaximal, complemented
6#13067001C211yesmaximal, characteristic, complemented
7#13067000C212yesmaximal, complemented
8#13066999C211yesmaximal, characteristic, complemented
9#13066995C212yesmaximal, complemented
10D11×D4⋊C8C212yesmaximal, complemented
11C2×C11×D4⋊C8C211yesmaximal, characteristic, complemented
12C2×#67037C411yescharacteristic
13C2×C4×D4×C11C2211yescharacteristic
14#10623329C411yescharacteristic
15C2×C4×C22⋊D11—22no—
16#10623077—21no—
17#10623077C412yes—
18#10623076—21no—
19#10623076C412yes—
20C4×D4×D11—21no—
21C4×D4×D11C2212yes—
22C4×#4341—21no—
23C4×#4341C2212yes—
24#10623035C411yescharacteristic
25#10623035C411yescharacteristic
26#10623017—22no—
27C4×#4339C2211yescharacteristic
28C4×#4339C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic, complemented
30C2×C4×C8×C11C2211yescharacteristic, complemented
31C8×C22⋊D11—22no—
32C8×C22⋊D11—22no—
33#10622538C2211yescharacteristic, complemented
34#10622538C2211yescharacteristic, complemented
35#10622447—21no—
36#10622446C2212yescomplemented
37D11×C4⋊C8C2212yescomplemented
38#10622443—21no—
39C8×D44—21no—
40#10622298C2212yescomplemented
41C4×C8×D11C2212yescomplemented
42C8×Dic22—21no—
43C11×D4⋊C8C2212yescomplemented
44C11×D4⋊C8C2212yescomplemented
45D4⋊(C11⋊C8)C2212yescomplemented
46D4⋊(C11⋊C8)C2212yescomplemented
47#10622122C2212yescomplemented
48#10622121C2212yescomplemented
49#10622097C2211yescharacteristic, complemented
50#10622097C2211yescharacteristic, complemented
51#10622094C2211yescharacteristic, complemented
52#10622094C2211yescharacteristic, complemented
53C22×D4×C11C2×C411yescharacteristic
54C23×C4×C11—21no—
55C22×C22⋊D11—22no—
56#67037—24no—
57#67037C818yescomplemented
58C2×#4341—21no—
59C2×#4341C2×C412yes—
60C2×D4×D11—21no—
61C2×D4×D11C2×C412yes—
62C2×#4339C2×C411yescharacteristic
63C2×#4339C2×C411yescharacteristic
64C22×C4×D11—22no—
65C22×C8×C11—21no—
66C22×C8×C11—21no—
67C4×D4×C11—21no—
68C4×D4×C11—21no—
69C4×D4×C11C2×C412yes—
70C4×D4×C11C2312yes—
71C2×C11×C4⋊C4C2×C411yescharacteristic
72C2×C11×C22⋊C4—21no—
73C2×C42×C11C2311yescharacteristic
74C2×C22⋊Dic11—22no—
75D4×Dic11—21no—
76D4×Dic11—21no—
77D4×Dic11C2×C412yes—
78D4×Dic11C2×C412yes—
79C4×C22⋊D11—21no—
80C4×C22⋊D11—21no—
81C4×C22⋊D11—22no—
82C4×C22⋊D11—22no—
83C4×C22⋊D11—22no—
84C4×C22⋊D11—22no—
85C4×C22⋊D11—22no—
86C4×C22⋊D11—22no—
87C4×C22⋊D11D412yes—
88C4×C22⋊D11D412yes—
89C2×(C2×D11)⋊C4—22no—
90#66979C2×C411yescharacteristic
91#66979C2×C411yescharacteristic
92C2×Dic11⋊C4—22no—
93C2×C4×Dic11—22no—
94C2×C8×D11—22no—
95C2×C8×D11—22no—
96#66946—21no—
97#66946C2×C412yes—
98#66945—21no—
99#66945C2×C412yes—
100C4⋊C4×D11—21no—
101C4⋊C4×D11C2×C412yes—
102#66940—21no—
103#66940C2×C412yes—
104(C22⋊D11)⋊C4—22no—
105(C22⋊D11)⋊C4—22no—
106(C22⋊D11)⋊C4—22no—
107(C22⋊D11)⋊C4—22no—
108C22⋊C4×D11—22no—
109C22⋊C4×D11—22no—
110#66930—22no—
111#66930—22no—
112C4×D44C2×C411yescharacteristic
113C4×D44D411yescharacteristic
114C4×D44D411yescharacteristic
115C4×D44C2311yescharacteristic
116#66925—21no—
117#66925C2×C412yes—
118C42×D11—21no—
119C42×D11C2312yes—
120C4×Dic22C2×C411yescharacteristic
121C4×Dic22D411yescharacteristic
122C4×Dic22D411yescharacteristic
123C4×Dic22C2311yescharacteristic
124C11×C4⋊C8—21no—
125C11×C4⋊C8C2312yes—
126C4×C8×C11—21no—
127C4×C8×C11C2311yescharacteristic
128C4×C8×C11C2311yescharacteristic
129C22⋊(C11⋊C8)—21no—
130C22⋊(C11⋊C8)—21no—
131(C2×D11)⋊C8—22no—
132(C2×D11)⋊C8—22no—
133Dic11⋊C8—22no—
134Dic11⋊C8—22no—
135C8×Dic11—22no—
136C8×Dic11—22no—
137C4⋊(C11⋊C8)—21no—
138C4⋊(C11⋊C8)C2311yescharacteristic
139C4⋊(C11⋊C8)C2311yescharacteristic
140C4×C11⋊C8—21no—
141C4×C11⋊C8C2312yes—
142#17438—111nomaximal, Sylow
143C24×C11—21no—
144C23×D11—22no—
145C2×D4×C11—21no—
146C2×D4×C11—22no—
147C2×D4×C11C2×C814yescomplemented
148C2×D4×C11C22×C412yes—
149C22×C4×C11—21no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—81no—
153C22×C4×C11—81no—
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C2×C22⋊D11—216no—
158C2×C22⋊D11—22no—
159C2×C22⋊D11—21no—
160C2×C22⋊D11—22no—
161C2×C22⋊D11C22⋊C412yes—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165#4341—24no—
166#4341—28no—
167#4341C2×C818yescomplemented
168D4×D11—28no—
169D4×D11—24no—
170D4×D11C2×C818yescomplemented
171#4339—22no—
172#4339C2×C814yes—
173#4339C2×C814yescomplemented
174#4339M1614yes—
175C2×D44C22⋊C411yescharacteristic
176C2×D44C22×C411yescharacteristic
177C2×C4×D11—22no—
178C2×C4×D11—22no—
179C2×C4×D11—21no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—82no—
183C2×C4×D11—82no—
184C2×C4×D11C22×C412yes—
185C2×C4×D11C2×D412yes—
186C2×C4×D11C2×D412yes—
187C2×Dic22C22⋊C411yescharacteristic
188C2×Dic22C22×C411yescharacteristic
189C2×C8×C11—21no—
190C2×C8×C11—22no—
191C2×C8×C11—21no—
192C2×C8×C11—42no—
193C2×C8×C11—81no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4C22×C412yes—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—22no—
198C42×C11C22×C411yescharacteristic
199C42×C11C2×D411yescharacteristic
200C42×C11C2×D411yescharacteristic
201C42×C11C2411yescharacteristic
202C22⋊Dic11—22no—
203C22⋊Dic11—22no—
204C22⋊Dic11—21no—
205C22⋊Dic11C22⋊C412yes—
206(C2×D11)⋊C4—22no—
207(C2×D11)⋊C4—22no—
208(C2×D11)⋊C4—21no—
209(C2×D11)⋊C4—21no—
210(C2×D11)⋊C4C22⋊C412yes—
211(C2×D11)⋊C4C22⋊C412yes—
212C4⋊Dic11C22⋊C411yescharacteristic
213C4⋊Dic11C22⋊C411yescharacteristic
214C4⋊Dic11C22×C411yescharacteristic
215C4⋊Dic11C22×C411yescharacteristic
216Dic11⋊C4—22no—
217Dic11⋊C4—22no—
218Dic11⋊C4—21no—
219Dic11⋊C4—21no—
220Dic11⋊C4C22⋊C412yes—
221Dic11⋊C4C22⋊C412yes—
222C4×Dic11—22no—
223C4×Dic11—22no—
224C4×Dic11—21no—
225C4×Dic11—21no—
226C4×Dic11—21no—
227C4×Dic11C22×C412yes—
228C4×Dic11C2×D412yes—
229C4×Dic11C2×D412yes—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—22no—
233C8×D11—44no—
234C8×D11—82no—
235C4×H(5,𝔽2)—111no—
236#2988—111no—
237C8×#41—111no—
238#1478—112no—
239#1478—111no—
240#1477—111no—
241#1477—112no—
242#1476—111no—
243#1476—112no—
244C2×D4⋊C8—112no—
245C2×D4⋊C8D1111yescharacteristic, complemented
246C23×C11—22no—
247C23×C11—24no—
248C23×C11—81no—
249C23×C11—81no—
250C23×C11C2×C22⋊C411yescharacteristic
251C22×D11—21no—
252C22×D11—28no—
253C22×D11—82no—
254C22×D11—82no—
255C22×D11C2×C22⋊C412yes—
256D4×C11—22no—
257D4×C11—24no—
258D4×C11C22×C814yes—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—41no—
263C2×C4×C11—42no—
264C2×C4×C11—42no—
265C2×C4×C11—82no—
266C2×C4×C11—81no—
267C2×C4×C11C2×C22⋊C411yescharacteristic
268C2×C4×C11C2×C22⋊C411yescharacteristic
269C2×C4×C11C2×C22⋊C411yescharacteristic
270C2×C4×C11C22×C812yes—
271C2×C4×C11C2×M1612yes—
272C2×C4×C11C23×C411yescharacteristic
273C2×C4×C11C22×D411yescharacteristic
274C2×C4×C11C22×D411yescharacteristic
275C22⋊D11—24no—
276C22⋊D11—28no—
277C22⋊D11—28no—
278C22⋊D11C22⋊C818yes—
279C2×Dic11—21no—
280C2×Dic11—28no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—82no—
284C2×Dic11—82no—
285C2×Dic11C2×C22⋊C412yes—
286C2×Dic11C2×C22⋊C412yes—
287C2×Dic11C2×C22⋊C412yes—
288D44—21no—
289D44C22⋊C814yes—
290D44C22×C812yes—
291C4×D11—22no—
292C4×D11—22no—
293C4×D11—24no—
294C4×D11—42no—
295C4×D11—41no—
296C4×D11—41no—
297C4×D11—82no—
298C4×D11—81no—
299C4×D11—82no—
300C4×D11C22×C814yes—
301C4×D11C2×M1614yes—
302Dic22—21no—
303Dic22C22⋊C814yes—
304Dic22C22×C812yes—
305C8×C11—22no—
306C8×C11—41no—
307C8×C11—42no—
308C11⋊C8—42no—
309C11⋊C8—41no—
310C11⋊C8—41no—
311C2×H(5,𝔽2)—111no—
312#520—111no—
313#520—112no—
314#520—111no—
315#520—221no—
316#518—111no—
317#518—112no—
318#518—222no—
319#518—221no—
320C4×#41—111no—
321C4×#41—112no—
322C4×#41—111no—
323C4×#41—221no—
324C2×C4×D4—112no—
325C2×C4×D4—221no—
326C2×C4×D4—222no—
327C2×C4×D4C2×D1111yescharacteristic
328C8×Q8—221no—
329C8×Q8—221no—
330C8×D4—221no—
331C8×D4—221no—
332C8×D4—222no—
333C8×D4—222no—
334#431—111no—
335#431—112no—
336#431—111no—
337#431—112no—
338C2×C4⋊C8—112no—
339C2×C4⋊C8C2×D1111yescharacteristic, complemented
340C2×C4×C8—112no—
341C2×C4×C8C2×D1111yescharacteristic, complemented
342Q8⋊C8—112no—
343Q8⋊C8—111no—
344Q8⋊C8—111no—
345D4⋊C8—112no—
346D4⋊C8—112no—
347D4⋊C8—112no—
348D4⋊C8—111no—
349D4⋊C8—111no—
350D4⋊C8C2×D1112yescomplemented
351D4⋊C8C2×D1112yescomplemented
352C22×C11—21no—
353C22×C11—21no—
354C22×C11—24no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—84no—
358C22×C11C2×C22⋊C812yes—
359C22×C11C22×C22⋊C411yescharacteristic
360C2×D11—22no—
361C2×D11—22no—
362C2×D11—22no—
363C2×D11—41no—
364C2×D11—41no—
365C2×D11—88no—
366C2×D11C2×C22⋊C814yes—
367C4×C11—21no—
368C4×C11—21no—
369C4×C11—21no—
370C4×C11—42no—
371C4×C11C2×C22⋊C812yes—
372C4×C11C23×C811yescharacteristic
373C4×C11C22×M1611yescharacteristic
374C4×C11#57611yescharacteristic
375C4×C11#57711yescharacteristic
376Dic11—22no—
377Dic11—22no—
378Dic11—22no—
379Dic11—41no—
380Dic11—41no—
381Dic11C2×C22⋊C814yes—
382H(5,𝔽2)—118no—
383H(5,𝔽2)—224no—
384C2×#41—111no—
385C2×#41—112no—
386C2×#41—111no—
387C2×#41—221no—
388C22×D4—112no—
389C22×D4—221no—
390C22×D4—222no—
391C22×D4C4×D1111yescharacteristic
392C23×C4—21no—
393C23×C4—222no—
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—222no—
397C22×C8—222no—
398C4×Q8—111no—
399C4×Q8—111no—
400C4×Q8—112no—
401C4×Q8—111no—
402C4×Q8—111no—
403C4×Q8—221no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4—112no—
407C4×D4—112no—
408C4×D4—112no—
409C4×D4—112no—
410C4×D4—112no—
411C4×D4—111no—
412C4×D4—111no—
413C4×D4—111no—
414C4×D4—111no—
415C4×D4—222no—
416C4×D4—222no—
417C4×D4—222no—
418C4×D4—222no—
419C4×D4—222no—
420C4×D4—222no—
421C4×D4—222no—
422C4×D4—221no—
423C4×D4—222no—
424C4×D4—221no—
425C4×D4—221no—
426C4×D4—222no—
427C4×D4—222no—
428C4×D4—221no—
429C4×D4—221no—
430C4×D4C4×D1112yes—
431C4×D4C22×D1112yes—
432#117—111no—
433#117—112no—
434#117—111no—
435#117—112no—
436#117—222no—
437#117—222no—
438#117—221no—
439#117—221no—
440C2×C4⋊C4—112no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4C4×D1111yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—222no—
446C2×C22⋊C4—222no—
447C2×C22⋊C4—222no—
448C2×C22⋊C4—222no—
449C2×C42—112no—
450C2×C42—222no—
451C2×C42—221no—
452C2×C42C22×D1111yescharacteristic
453C4⋊C8—21no—
454C4⋊C8—111no—
455C4⋊C8—111no—
456C4⋊C8—222no—
457C4⋊C8—222no—
458C4⋊C8—221no—
459C4⋊C8C22×D1112yes—
460C22⋊C8—222no—
461C22⋊C8—222no—
462C22⋊C8—221no—
463C22⋊C8—221no—
464C4×C8—21no—
465C4×C8—112no—
466C4×C8—222no—
467C4×C8—222no—
468C4×C8—221no—
469C4×C8C22×D1111yescharacteristic
470C4×C8C22×D1111yescharacteristic
471C2×C11—22no—
472C2×C11—44no—
473C2×C11C22×C22⋊C811yescharacteristic
474C2×C11#289711yescharacteristic
475C2×C11#290111yescharacteristic
476D11—24no—
477D11—42no—
478C24—21no—
479C24—222no—
480#41—114no—
481#41—114no—
482#41—118no—
483#41—114no—
484#41—224no—
485#41—228no—
486#41—222no—
487C2×Q8—111no—
488C2×Q8—111no—
489C2×D4—21no—
490C2×D4—22no—
491C2×D4—112no—
492C2×D4—118no—
493C2×D4—111no—
494C2×D4—111no—
495C2×D4—224no—
496C2×D4—222no—
497C2×D4—228no—
498C2×D4—2216no—
499C2×D4—222no—
500C2×D4—221no—
501C2×D4C8×D1114yescomplemented
502C2×D4C2×C4×D1112yes—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—112no—
509C22×C4—112no—
510C22×C4—112no—
511C22×C4—222no—
512C22×C4—222no—
513C22×C4—222no—
514C22×C4—222no—
515C22×C4—222no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—882no—
520C22×C4—882no—
521C22×C4C2×C4×D1111yescharacteristic
522C22×C4D4×D1111yescharacteristic
523C22×C4D4×D1111yescharacteristic
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—22no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—222no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—444no—
533C2×C8—882no—
534C4⋊C4—21no—
535C4⋊C4—112no—
536C4⋊C4—111no—
537C4⋊C4—112no—
538C4⋊C4—111no—
539C4⋊C4—111no—
540C4⋊C4—111no—
541C4⋊C4—222no—
542C4⋊C4—222no—
543C4⋊C4—221no—
544C4⋊C4—221no—
545C4⋊C4C2×C4×D1112yes—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—112no—
549C22⋊C4—112no—
550C22⋊C4—112no—
551C22⋊C4—222no—
552C22⋊C4—222no—
553C22⋊C4—222no—
554C22⋊C4—222no—
555C22⋊C4—221no—
556C22⋊C4—221no—
557C22⋊C4—221no—
558C42—112no—
559C42—112no—
560C42—112no—
561C42—222no—
562C42—222no—
563C42—221no—
564C42—221no—
565C42—221no—
566C42C2×C4×D1111yescharacteristic
567C42D4×D1111yescharacteristic
568C42D4×D1111yescharacteristic
569C42C23×D1111yescharacteristic
570C11#1743811yescharacteristic, complemented, Sylow
571C23—22no—
572C23—24no—
573C23—81no—
574C23—81no—
575C23—112no—
576C23—228no—
577C23—221no—
578C23—882no—
579C23—882no—
580C23C22⋊C4×D1111yescharacteristic
581Q8—114no—
582Q8—112no—
583Q8—221no—
584D4—22no—
585D4—24no—
586D4—118no—
587D4—112no—
588D4—114no—
589D4—228no—
590D4—228no—
591D4—224no—
592D4—221no—
593D4C2×C8×D1114yes—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—82no—
601C2×C4—81no—
602C2×C4—112no—
603C2×C4—114no—
604C2×C4—114no—
605C2×C4—112no—
606C2×C4—112no—
607C2×C4—228no—
608C2×C4—221no—
609C2×C4—222no—
610C2×C4—222no—
611C2×C4—224no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—442no—
615C2×C4—441no—
616C2×C4—441no—
617C2×C4—881no—
618C2×C4—882no—
619C2×C4—882no—
620C2×C4—882no—
621C2×C4—882no—
622C2×C4C22⋊C4×D1111yescharacteristic
623C2×C4C22⋊C4×D1111yescharacteristic
624C2×C4C22⋊C4×D1111yescharacteristic
625C2×C4C2×C8×D1112yes—
626C2×C4M16×D1112yes—
627C2×C4C22×C4×D1111yescharacteristic
628C2×C4C2×D4×D1111yescharacteristic
629C2×C4C2×D4×D1111yescharacteristic
630C8—22no—
631C8—41no—
632C8—42no—
633C8—442no—
634C8—441no—
635C8—441no—
636C22—21no—
637C22—21no—
638C22—24no—
639C22—42no—
640C22—42no—
641C22—84no—
642C22—114no—
643C22—222no—
644C22—222no—
645C22—222no—
646C22—441no—
647C22—441no—
648C22—888no—
649C22D11×C22⋊C812yes—
650C22C2×C22⋊C4×D1111yescharacteristic
651C4—21no—
652C4—21no—
653C4—21no—
654C4—42no—
655C4—114no—
656C4—222no—
657C4—222no—
658C4—222no—
659C4—441no—
660C4—441no—
661C4D11×C22⋊C812yes—
662C4C22×C8×D1111yescharacteristic
663C4C2×M16×D1111yescharacteristic
664C4#1062328811yescharacteristic
665C4#1062329311yescharacteristic
666C2—22no—
667C2—44no—
668C2—224no—
669C2—442no—
670C2C2×D11×C22⋊C811yescharacteristic
671C2#1307713711yescharacteristic
672C2#1307716011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC4×C11C23×C8
FrattiniC42C23×D11
FittingC2×C11×D4⋊C8C2
socleC22×C11C22×C22⋊C4
prime radicalC2×#67037C4
cosocleC42×C11C24
hypercenterC2×D4⋊C8D11
hypocenterC11#17438
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×D4⋊C8

Complements

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

NH ≅ G/Ntype
2. #13077725C2semidirect
3. C8×#4339C2semidirect
4. #13067007C2semidirect
5. #13067005C2semidirect
6. #13067001C2semidirect
7. #13067000C2semidirect
8. #13066999C2semidirect
9. #13066995C2semidirect
10. D11×D4⋊C8C2semidirect
11. C2×C11×D4⋊C8C2semidirect
29. C2×C11×C4⋊C8C22semidirect
30. C2×C4×C8×C11C22semidirect
33. #10622538C22semidirect
34. #10622538C22semidirect
36. #10622446C22semidirect
37. D11×C4⋊C8C22semidirect
40. #10622298C22semidirect
41. C4×C8×D11C22semidirect
43. C11×D4⋊C8C22semidirect
44. C11×D4⋊C8C22semidirect
45. D4⋊(C11⋊C8)C22semidirect
46. D4⋊(C11⋊C8)C22semidirect
47. #10622122C22semidirect
48. #10622121C22semidirect
49. #10622097C22semidirect
50. #10622097C22semidirect
51. #10622094C22semidirect
52. #10622094C22semidirect
57. #67037C8semidirect
147. C2×D4×C11C2×C8semidirect
167. #4341C2×C8semidirect
170. D4×D11C2×C8semidirect
173. #4339C2×C8semidirect
245. C2×D4⋊C8D11semidirect
339. C2×C4⋊C8C2×D11semidirect
341. C2×C4×C8C2×D11semidirect
350. D4⋊C8C2×D11semidirect
351. D4⋊C8C2×D11semidirect
501. C2×D4C8×D11semidirect
570. C11#17438semidirect

Maximal subgroups

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

subgroupindex
C4×#670372
#130777252
C8×#43392
#130670072
#130670052
#130670012
#130670002
#130669992
#130669952
D11×D4⋊C82
C2×C11×D4⋊C82
#1743811