Finite Group Databasebeta

← D4×#66887 #14769119

Subgroups — D4×#66887 #14769119

Order 2816.

1862 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×D44C211yesmaximal, characteristic
2D4×#4318C211yesmaximal, characteristic, complemented
3C22×#66887C212yesmaximal, complemented
4#13069456C211yesmaximal, characteristic, complemented
5#13069455C211yesmaximal, characteristic, complemented
6#13069079C212yesmaximal, complemented
7#13069077C212yesmaximal, complemented
8#13068605C211yesmaximal, characteristic, complemented
9#13068536C212yesmaximal, complemented
10C4×#66887C211yesmaximal, characteristic, complemented
11D4×C11×M16C211yesmaximal, characteristic, complemented
12C22×D4×D11C412yes—
13C23×D44C2212yes—
14C22×C11×M16C2212yescomplemented
15C2×C4×D4×C11C2211yescharacteristic
16C2×#66983C2212yes—
17C22×#4318C2212yescomplemented
18D4×D44—21no—
19D4×D44—22no—
20D4×D44—21no—
21D4×D44—21no—
22D4×D44—22no—
23D4×D44—21no—
24C2×#66948C412yes—
25C2×#66935C414yes—
26C2×#66927C2211yescharacteristic
27C2×C4×D44C2211yescharacteristic
28C11×#436—21no—
29C11×#435—22no—
30C8×D4×C11—21no—
31C11×#423C2211yescharacteristic, complemented
32C11×#407C2212yescomplemented
33C4×C11×M16C2211yescharacteristic, complemented
34#10622820C2212yescomplemented
35C2×#66887—28no—
36C2×#66887C2212yes—
37C2×#66887C2211yescharacteristic
38C2×#66887C2211yescharacteristic
39C2×#66887C2212yescomplemented
40C2×#66887C2212yescomplemented
41C2×#66887C2212yescomplemented
42C2×#66887C2212yescomplemented
43#10622625—21no—
44#10622624—22no—
45D4×C11⋊C8—21no—
46#10622537C2211yescharacteristic, complemented
47C4×#4318C2211yescharacteristic, complemented
48#10622192C2211yescharacteristic, complemented
49#10622192C2212yescomplemented
50#10622192C2211yescharacteristic, complemented
51C24×D11C2×C414yes—
52C22×D4×C11C2×C411yescharacteristic
53C23×C4×C11C2312yes—
54C22×C22⋊D11C2×C414yes—
55C2×D4×D11—24no—
56C2×D4×D11—22no—
57C2×D4×D11—22no—
58C2×D4×D11—48no—
59C22×D44—22no—
60C22×D44—22no—
61C22×D44—22no—
62C22×D44—22no—
63C22×D44—24no—
64C22×D44—24no—
65C22×D44—42no—
66C22×D44—42no—
67C22×D44C2×C414yes—
68C22×D44C2×C412yes—
69C22×D44C2×C412yes—
70C22×D44C2312yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11C2×C412yes—
73C2×C11×M16—22no—
74C2×C11×M16—24no—
75C2×C11×M16—42no—
76C2×C11×M16C2311yescharacteristic
77C2×C11×M16C2312yes—
78C2×C11×M16C2311yescharacteristic
79C22×C8×C11—22no—
80C4×D4×C11D411yescharacteristic
81C4×D4×C11D412yes—
82C4×D4×C11D411yescharacteristic
83C4×D4×C11D411yescharacteristic
84C4×D4×C11D412yes—
85C4×D4×C11D411yescharacteristic
86C2×C11×C4⋊C4C2×C411yescharacteristic
87C2×C11×C22⋊C4C2×C412yes—
88C2×C42×C11C2311yescharacteristic
89#66983—22no—
90#66983—22no—
91#66983—22no—
92#66983—22no—
93C2×(C2×D11)⋊C4C2×C412yes—
94C2×(C2×D11)⋊C4C2×C414yes—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×#4318—22no—
97C2×#4318—24no—
98C2×#4318—42no—
99C2×#4318C2311yescharacteristic
100C2×#4318C2312yes—
101C2×#4318C2311yescharacteristic
102C22×C11⋊C8—22no—
103#66948—24no—
104#66948—22no—
105#66948—22no—
106#66935—24no—
107#66935—24no—
108#66935—24no—
109#66935—24no—
110#66927—21no—
111#66927—21no—
112#66927—21no—
113#66927—21no—
114C4×D44—21no—
115C4×D44—21no—
116C4×D44—21no—
117C4×D44—21no—
118C11×C4⋊C8—21no—
119C11×C4⋊C8—21no—
120C11×C22⋊C8—22no—
121C11×C22⋊C8—22no—
122C11×#97—21no—
123C4×C8×C11—21no—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126#66887—24no—
127#66887—22no—
128#66887—24no—
129#66887—24no—
130#66887—42no—
131#66887—42no—
132#66887D414yesdirect product factor
133C4⋊(C11⋊C8)—21no—
134C4⋊(C11⋊C8)—21no—
135#66867—21no—
136C4×C11⋊C8—21no—
137D4×#100—111nomaximal, Sylow
138C24×C11C22×C412yes—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11—28no—
142C23×D11—44no—
143C23×D11—48no—
144C23×D11—84no—
145C23×D11C22×C414yes—
146C23×D11C22×C412yes—
147C2×D4×C11—24no—
148C2×D4×C11C22⋊C412yes—
149C2×D4×C11C22⋊C411yescharacteristic
150C2×D4×C11C22⋊C411yescharacteristic
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2×D412yes—
160C22×C4×C11C2×D412yes—
161C22×C4×C11C2×D412yes—
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—24no—
164C2×C22⋊D11—24no—
165C2×C22⋊D11—48no—
166C22×Dic11C22×C412yes—
167D4×D11—416no—
168D4×D11—48no—
169D4×D11—48no—
170C2×D44—28no—
171C2×D44—22no—
172C2×D44—22no—
173C2×D44—24no—
174C2×D44—24no—
175C2×D44—22no—
176C2×D44—22no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—22no—
180C2×D44—22no—
181C2×D44—22no—
182C2×D44—22no—
183C2×D44—21no—
184C2×D44—21no—
185C2×D44—22no—
186C2×D44—22no—
187C2×D44—44no—
188C2×D44—44no—
189C2×D44—44no—
190C2×D44—44no—
191C2×D44—44no—
192C2×D44—44no—
193C2×D44—44no—
194C2×D44—44no—
195C2×D44—44no—
196C2×D44—44no—
197C2×D44—82no—
198C2×D44C2×D412yes—
199C2×D44#4112yes—
200C2×C4×D11—22no—
201C2×C4×D11—22no—
202C2×C4×D11—44no—
203C11×M16—22no—
204C11×M16—21no—
205C11×M16—21no—
206C11×M16—21no—
207C11×M16—22no—
208C11×M16—44no—
209C11×M16C2×D412yescomplemented
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—22no—
213C2×C8×C11—44no—
214C11×C4⋊C4C22⋊C412yes—
215C11×C4⋊C4C22⋊C411yescharacteristic
216C11×C4⋊C4C22⋊C411yescharacteristic
217C11×C22⋊C4C22⋊C412yes—
218C11×C22⋊C4C22⋊C412yes—
219C11×C22⋊C4C22⋊C412yes—
220C11×C22⋊C4C22⋊C412yes—
221C42×C11C2×D411yescharacteristic
222C42×C11C2×D411yescharacteristic
223C42×C11C2×D411yescharacteristic
224C42×C11C2×D411yescharacteristic
225(C2×D11)⋊C4—22no—
226(C2×D11)⋊C4—22no—
227(C2×D11)⋊C4—24no—
228(C2×D11)⋊C4—24no—
229C4⋊Dic11—21no—
230C4⋊Dic11—21no—
231#4318—22no—
232#4318—21no—
233#4318—21no—
234#4318—21no—
235#4318—22no—
236#4318—44no—
237#4318C2×D412yescomplemented
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—22no—
241C2×C11⋊C8—44no—
242C2×D42—111no—
243D4×M16—111no—
244D4×M16D1111yescharacteristic, complemented
245C22×#100—112no—
246#1965—111no—
247#1965—111no—
248#1900—112no—
249#1900—112no—
250#1800—111no—
251#1783—112no—
252C4×#100—111no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—24no—
256C23×C11—42no—
257C23×C11C2×C22⋊C412yes—
258C23×C11C2×C22⋊C412yes—
259C23×C11C23×C411yescharacteristic
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—48no—
266C22×D11—48no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—48no—
270C22×D11—48no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—84no—
274C22×D11—84no—
275C22×D11—816no—
276C22×D11—816no—
277C22×D11C4×D414yes—
278D4×C11—24no—
279D4×C11—22no—
280D4×C11#10014yescomplemented
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—41no—
293C2×C4×C11C2×C22⋊C411yescharacteristic
294C2×C4×C11C2×C22⋊C411yescharacteristic
295C2×C4×C11C2×C22⋊C412yes—
296C2×C4×C11C2×C22⋊C412yes—
297C2×C4×C11C2×C22⋊C411yescharacteristic
298C2×C4×C11C2×C22⋊C411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C22⋊D11—48no—
306C22⋊D11—48no—
307C2×Dic11—22no—
308C2×Dic11—42no—
309D44—22no—
310D44—22no—
311D44—22no—
312D44—22no—
313D44—48no—
314D44—48no—
315D44—44no—
316D44—42no—
317D44—42no—
318D44—42no—
319D44—42no—
320D44—44no—
321D44—82no—
322D44—82no—
323C4×D11—44no—
324C4×D11—44no—
325C8×C11—22no—
326C8×C11—42no—
327C8×C11—41no—
328C11⋊C8—22no—
329C11⋊C8—42no—
330C11⋊C8—41no—
331C23×D4—112no—
332C23×D4—112no—
333C22×M16—112no—
334C22×M16C2×D1112yescomplemented
335D42—221no—
336D42—222no—
337D42—221no—
338D42—221no—
339D42—222no—
340D42—221no—
341C2×#127—111no—
342C2×#121—112no—
343C2×#121—112no—
344C2×#120—114no—
345C2×C4×D4—111no—
346C2×C4×D4C2×D1111yescharacteristic
347#436—21no—
348#436—221no—
349#435—22no—
350#435—222no—
351C8×D4—21no—
352C8×D4—221no—
353#423—111no—
354#423C2×D1111yescharacteristic, complemented
355C2×#100—111no—
356C2×#100—112no—
357C2×#100—111no—
358C2×#100—112no—
359C2×#100—112no—
360C2×#100—112no—
361C2×#100—112no—
362C2×#100—228no—
363#407—112no—
364#407C2×D1112yescomplemented
365C4×M16—111no—
366C4×M16C2×D1111yescharacteristic, complemented
367#343—112no—
368#343—111no—
369#343—111no—
370C22×C11—22no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—44no—
378C22×C11—44no—
379C22×C11C2×#10014yescomplemented
380C22×C11C22×C22⋊C411yescharacteristic
381C22×C11C2×C4×D411yescharacteristic
382C22×C11#51811yescharacteristic
383C2×D11—24no—
384C2×D11—44no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—816no—
392C2×D11—816no—
393C2×D11—84no—
394C2×D11—84no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—21no—
398C4×C11—21no—
399C4×C11—21no—
400C4×C11C2×#10012yescomplemented
401C4×C11D4211yescharacteristic
402C4×C11D4211yescharacteristic
403C4×C11#54611yescharacteristic
404C4×C11#54611yescharacteristic
405Dic11—42no—
406C25—114no—
407C22×D4—114no—
408C22×D4—114no—
409C22×D4—112no—
410C22×D4—112no—
411C22×D4—111no—
412C22×D4—112no—
413C22×D4—224no—
414C22×D4—224no—
415C22×D4—224no—
416C22×D4—222no—
417C22×D4—222no—
418C22×D4—222no—
419C22×D4—222no—
420C22×D4—222no—
421C22×D4—222no—
422C22×D4—442no—
423C22×D4—442no—
424C22×D4—448no—
425C22×D4C4×D1111yescharacteristic
426C23×C4—112no—
427C23×C4C22×D1112yes—
428C2×M16—22no—
429C2×M16—24no—
430C2×M16—42no—
431C2×M16—111no—
432C2×M16—112no—
433C2×M16—111no—
434C2×M16—222no—
435C2×M16—224no—
436C2×M16—442no—
437C2×M16C22×D1112yes—
438C2×M16C22×D1111yescharacteristic
439C2×M16C22×D1111yescharacteristic
440C22×C8—22no—
441C22×C8—222no—
442#127—221no—
443#127—221no—
444#127—221no—
445#127—221no—
446#121—222no—
447#121—222no—
448#121—222no—
449#121—222no—
450#121—224no—
451#121—222no—
452#121—222no—
453#120—224no—
454#120—224no—
455#120—224no—
456#120—224no—
457C4×D4—221no—
458C4×D4—221no—
459C4×D4—221no—
460C4×D4—221no—
461C4×D4D4411yescharacteristic
462C4×D4D4412yes—
463C4×D4D4411yescharacteristic
464C4×D4C22⋊D1111yescharacteristic
465C4×D4C22⋊D1112yes—
466C4×D4C22⋊D1111yescharacteristic
467C2×C4⋊C4—111no—
468C2×C4⋊C4C4×D1111yescharacteristic
469C2×C22⋊C4—112no—
470C2×C22⋊C4—114no—
471C2×C22⋊C4C4×D1112yes—
472C2×C42C22×D1111yescharacteristic
473C4⋊C8—21no—
474C4⋊C8—21no—
475C4⋊C8—221no—
476C4⋊C8—221no—
477#100—114no—
478#100—224no—
479#100—222no—
480#100—224no—
481#100—224no—
482#100—442no—
483#100—442no—
484C22⋊C8—22no—
485C22⋊C8—22no—
486C22⋊C8—222no—
487C22⋊C8—222no—
488#97—21no—
489#97—221no—
490C4×C8—21no—
491C4×C8—221no—
492C2×C11—21no—
493C2×C11—21no—
494C2×C11—24no—
495C2×C11—42no—
496C2×C11D4×C22⋊C411yescharacteristic
497C2×C11C22×#10011yescharacteristic
498C2×C11#288811yescharacteristic
499D11—44no—
500D11—84no—
501C24—112no—
502C24—114no—
503C24—228no—
504C24—224no—
505C24—224no—
506C24—444no—
507C24—448no—
508C24—884no—
509C24C2×C4×D1112yes—
510C2×D4—24no—
511C2×D4—112no—
512C2×D4—112no—
513C2×D4—228no—
514C2×D4—224no—
515C2×D4—224no—
516C2×D4—224no—
517C2×D4—224no—
518C2×D4—222no—
519C2×D4—222no—
520C2×D4—222no—
521C2×D4—222no—
522C2×D4—221no—
523C2×D4—222no—
524C2×D4—222no—
525C2×D4—221no—
526C2×D4—222no—
527C2×D4—222no—
528C2×D4—221no—
529C2×D4—222no—
530C2×D4—221no—
531C2×D4—222no—
532C2×D4—444no—
533C2×D4—444no—
534C2×D4—444no—
535C2×D4—444no—
536C2×D4—444no—
537C2×D4—444no—
538C2×D4—444no—
539C2×D4—444no—
540C2×D4—444no—
541C2×D4—444no—
542C2×D4—4416no—
543C2×D4—448no—
544C2×D4—448no—
545C2×D4—448no—
546C2×D4—882no—
547C2×D4(C2×D11)⋊C412yes—
548C2×D4(C2×D11)⋊C411yescharacteristic
549C2×D4(C2×D11)⋊C411yescharacteristic
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—112no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—444no—
558C22×C4C2×C4×D1111yescharacteristic
559C22×C4C2×C4×D1112yes—
560C22×C4C2×C4×D1111yescharacteristic
561C22×C4C2×D4412yes—
562C22×C4C2×D4412yes—
563C22×C4C2×C22⋊D1112yes—
564C22×C4C2×C22⋊D1112yes—
565C22×C4C23×D1111yescharacteristic
566M16—21no—
567M16—22no—
568M16—22no—
569M16—21no—
570M16—21no—
571M16—44no—
572M16—112no—
573M16—221no—
574M16—222no—
575M16—221no—
576M16—221no—
577M16—222no—
578M16—444no—
579M16D4×D1112yescomplemented
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—22no—
583C2×C8—44no—
584C2×C8—221no—
585C2×C8—221no—
586C2×C8—222no—
587C2×C8—444no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4(C2×D11)⋊C412yes—
591C4⋊C4(C2×D11)⋊C411yescharacteristic
592C4⋊C4(C2×D11)⋊C411yescharacteristic
593C22⋊C4—222no—
594C22⋊C4—222no—
595C22⋊C4—224no—
596C22⋊C4—224no—
597C22⋊C4(C2×D11)⋊C412yes—
598C22⋊C4(C2×D11)⋊C412yes—
599C22⋊C4(C2×D11)⋊C412yes—
600C22⋊C4(C2×D11)⋊C412yes—
601C42C2×D4411yescharacteristic
602C42C2×D4411yescharacteristic
603C42C2×C22⋊D1111yescharacteristic
604C42C2×C22⋊D1111yescharacteristic
605C11D4×#10011yescharacteristic, complemented, Sylow
606C23—24no—
607C23—22no—
608C23—22no—
609C23—42no—
610C23—114no—
611C23—222no—
612C23—222no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—448no—
617C23—448no—
618C23—442no—
619C23—442no—
620C23—448no—
621C23—444no—
622C23—444no—
623C23—448no—
624C23—884no—
625C23—884no—
626C23—8816no—
627C23—8816no—
628C23C2×(C2×D11)⋊C412yes—
629C23C2×(C2×D11)⋊C412yes—
630C23C22×C4×D1111yescharacteristic
631D4—24no—
632D4—22no—
633D4—222no—
634D4—222no—
635D4—222no—
636D4—222no—
637D4—448no—
638D4—448no—
639D4—444no—
640D4—448no—
641D4—448no—
642D4—444no—
643D4—442no—
644D4—442no—
645D4—442no—
646D4—442no—
647D4—882no—
648D4—882no—
649D4#6688714yesdirect product factor
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—41no—
662C2×C4—222no—
663C2×C4—444no—
664C2×C4—444no—
665C2×C4—442no—
666C2×C4C2×(C2×D11)⋊C411yescharacteristic
667C2×C4C2×(C2×D11)⋊C411yescharacteristic
668C2×C4C2×(C2×D11)⋊C411yescharacteristic
669C2×C4C2×(C2×D11)⋊C412yes—
670C2×C4C2×(C2×D11)⋊C412yes—
671C2×C4C2×(C2×D11)⋊C411yescharacteristic
672C2×C4C22×D4411yescharacteristic
673C2×C4C2×D4×D1111yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4#41×D1111yescharacteristic
676C2×C4#6704211yescharacteristic
677C2×C4C22×C22⋊D1111yescharacteristic
678C8—22no—
679C8—42no—
680C8—41no—
681C8—222no—
682C8—442no—
683C8—441no—
684C22—22no—
685C22—21no—
686C22—21no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—44no—
693C22—224no—
694C22—444no—
695C22—444no—
696C22—442no—
697C22—442no—
698C22—444no—
699C22—444no—
700C22—444no—
701C22—8816no—
702C22—884no—
703C22—884no—
704C22—8816no—
705C22C2×#6688714yescomplemented
706C22C4×D4×D1111yescharacteristic
707C22#1062307611yescharacteristic
708C22C22×(C2×D11)⋊C411yescharacteristic
709C4—22no—
710C4—22no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—442no—
715C4C2×#6688712yescomplemented
716C4D4×D4411yescharacteristic
717C4#1062308511yescharacteristic
718C4D4×C22⋊D1111yescharacteristic
719C4#1062336011yescharacteristic
720C2—21no—
721C2—21no—
722C2—24no—
723C2—42no—
724C2—444no—
725C2—884no—
726C2D4×(C2×D11)⋊C411yescharacteristic
727C2C22×#6688711yescharacteristic
728C2#1307709411yescharacteristic
subgroupG/H
centerC22C22×(C2×D11)⋊C4
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
FittingD4×C11×M16C2
socleC22×C11C22×C22⋊C4
prime radicalC2×D4×D44C2
cosocleC22×C4×C11C24
hypercenterD4×M16D11
hypocenterC11D4×#100
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×M16

Complements

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

NH ≅ G/Ntype
2. D4×#4318C2semidirect
3. C22×#66887C2semidirect
4. #13069456C2semidirect
5. #13069455C2semidirect
6. #13069079C2semidirect
7. #13069077C2semidirect
8. #13068605C2semidirect
9. #13068536C2semidirect
10. C4×#66887C2semidirect
11. D4×C11×M16C2semidirect
14. C22×C11×M16C22semidirect
17. C22×#4318C22semidirect
31. C11×#423C22semidirect
32. C11×#407C22semidirect
33. C4×C11×M16C22semidirect
34. #10622820C22semidirect
39. C2×#66887C22semidirect
40. C2×#66887C22semidirect
41. C2×#66887C22semidirect
42. C2×#66887C22semidirect
46. #10622537C22semidirect
47. C4×#4318C22semidirect
48. #10622192C22semidirect
49. #10622192C22semidirect
50. #10622192C22semidirect
132. #66887D4direct (N × H)
209. C11×M16C2×D4semidirect
237. #4318C2×D4semidirect
244. D4×M16D11semidirect
280. D4×C11#100semidirect
334. C22×M16C2×D11semidirect
354. #423C2×D11semidirect
364. #407C2×D11semidirect
366. C4×M16C2×D11semidirect
379. C22×C11C2×#100semidirect
400. C4×C11C2×#100semidirect
579. M16D4×D11semidirect
605. C11D4×#100semidirect
649. D4#66887direct (N × H)
705. C22C2×#66887semidirect
715. C4C2×#66887semidirect

Maximal subgroups

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

subgroupindex
C2×D4×D442
D4×#43182
C22×#668872
#130694562
#130694552
#130690792
#130690772
#130686052
#130685362
C4×#668872
D4×C11×M162
D4×#10011