Finite Group Databasebeta

← #14770249

Subgroups — #14770249

Order 2816.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082174C211yesmaximal, characteristic
2C4×D4×Dic11C211yesmaximal, characteristic, complemented
3#13069592C211yesmaximal, characteristic, complemented
4#13069560C211yesmaximal, characteristic, complemented
5#13069057C212yesmaximal, complemented
6#13068918C212yesmaximal, complemented
7#13068713C212yesmaximal, complemented
8#13068633C211yesmaximal, characteristic, complemented
9C4×#66889C211yesmaximal, characteristic, complemented
10C2×#10622193C212yesmaximal, complemented
11D4×C11×M16C211yesmaximal, characteristic, complemented
12C22×C11×M16C2212yes—
13C2×C4×D4×C11C2211yescharacteristic
14#10623337—21no—
15C2×D4×Dic11—21no—
16#10623322C2212yes—
17C2×#66979C2212yes—
18C22×C4×Dic11C2212yes—
19#10623096C412yescomplemented
20#10623094C411yescharacteristic, complemented
21#10623088—21no—
22#10623086C411yescharacteristic, complemented
23#10623074C411yescharacteristic, complemented
24#10623073C411yescharacteristic, complemented
25#10623072C412yescomplemented
26#10623069—22no—
27C4×#4341—21no—
28#10623044—21no—
29#10623026—22no—
30C4×#4339C2211yescharacteristic
31#10623001C2211yescharacteristic
32C11×#436—21no—
33C11×#435—22no—
34C8×D4×C11—21no—
35C11×#423C2211yescharacteristic
36C11×#407C2212yes—
37C4×C11×M16C2211yescharacteristic
38C4×C22⋊Dic11C2212yes—
39C2×#66889C2211yescharacteristic
40C2×#66889C2211yescharacteristic
41C2×#66889C2212yes—
42C4⋊C4×Dic11—21no—
43C22⋊C4×Dic11—22no—
44C4×C4⋊Dic11C2211yescharacteristic
45C42×Dic11C2211yescharacteristic
46#10622193C2212yes—
47#10622193C2212yes—
48#10622193C2212yes—
49#10622193C2211yescharacteristic
50#10622193C2212yes—
51#10622193C2212yes—
52#10622193C2211yescharacteristic
53C22×D4×C11D411yescharacteristic
54C23×C4×C11C2312yes—
55C23×Dic11—22no—
56C2×#4341—21no—
57C2×#4339C2311yescharacteristic
58C2×C11×M16—22no—
59C2×C11×M16—24no—
60C2×C11×M16—42no—
61C2×C11×M16C2311yescharacteristic
62C2×C11×M16C2312yes—
63C2×C11×M16C2311yescharacteristic
64C22×C8×C11—22no—
65C4×D4×C11C2×C412yes—
66C4×D4×C11C2×C411yescharacteristic
67C4×D4×C11C2×C411yescharacteristic
68C4×D4×C11D411yescharacteristic
69C4×D4×C11D412yes—
70C4×D4×C11D411yescharacteristic
71C2×C11×C4⋊C4D411yescharacteristic
72C2×C11×C22⋊C4D412yes—
73C2×C42×C11C2311yescharacteristic
74#67006—22no—
75C2×C22⋊Dic11—22no—
76C2×C22⋊Dic11—22no—
77#66992—22no—
78#66991—21no—
79#66989—21no—
80#66988—22no—
81D4×Dic11—28no—
82D4×Dic11—21no—
83#66983C2×C412yescomplemented
84#66983C2×C412yescomplemented
85#66982—22no—
86C4×C22⋊D11—21no—
87C4×C22⋊D11—21no—
88C4×C22⋊D11—22no—
89C4×C22⋊D11—22no—
90#66979—22no—
91#66979—22no—
92#66979C2×C412yescomplemented
93#66979C2×C412yescomplemented
94#66979C2312yes—
95#66979C2311yescharacteristic
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11C2×C412yescomplemented
98C2×C4⋊Dic11C2×C412yescomplemented
99#66977—21no—
100#66977—21no—
101#66977C2×C412yescomplemented
102#66977C2×C412yescomplemented
103C2×C4×Dic11—21no—
104C2×C4×Dic11—22no—
105C2×C4×Dic11—24no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—22no—
108C2×C4×Dic11—42no—
109C2×C4×Dic11C2311yescharacteristic
110C2×C4×Dic11C2312yes—
111C2×C4×Dic11C2311yescharacteristic
112#66951—22no—
113#66950—21no—
114#66945—21no—
115#66943—21no—
116#66942—22no—
117#66940—21no—
118#66939—22no—
119#66938—22no—
120#66936—22no—
121(C22⋊D11)⋊C4—22no—
122#66932—22no—
123#66932—22no—
124#66931—22no—
125#66930—22no—
126C4×D44C2×C411yescharacteristic, complemented
127C4×D44C2×C411yescharacteristic, complemented
128#66925—21no—
129C42×D11—21no—
130#66923C2×C412yescomplemented
131#66922C2×C411yescharacteristic, complemented
132#66922C2×C411yescharacteristic, complemented
133C4×Dic22—21no—
134C4×Dic22—21no—
135C4×Dic22C2×C411yescharacteristic, complemented
136C4×Dic22C2×C411yescharacteristic, complemented
137C11×C4⋊C8—21no—
138C11×C4⋊C8—21no—
139C11×C22⋊C8—22no—
140C11×C22⋊C8—22no—
141C11×#97—21no—
142C4×C8×C11—21no—
143C11⋊#95—21no—
144C11⋊#95—22no—
145#66889—22no—
146#66889—22no—
147#66889—42no—
148#22505—111nomaximal, Sylow
149C24×C11C2×D412yes—
150C2×D4×C11—24no—
151C2×D4×C11C22⋊C412yes—
152C2×D4×C11C22⋊C411yescharacteristic
153C2×D4×C11C22⋊C411yescharacteristic
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11C22×C412yes—
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D412yes—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D412yes—
163C22×C4×C11C2×D412yes—
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C2×C22⋊D11—22no—
167C2×C22⋊D11—22no—
168C2×C22⋊D11—21no—
169C22×Dic11—28no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—22no—
175C22×Dic11—44no—
176C22×Dic11—44no—
177#4341—44no—
178#4339—21no—
179#4339—21no—
180#4339—21no—
181#4339—21no—
182C2×D44C22×C411yescharacteristic
183C2×C4×D11—21no—
184C2×C4×D11—21no—
185C2×C4×D11—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22C22×C411yescharacteristic
189C11×M16—21no—
190C11×M16—22no—
191C11×M16—21no—
192C11×M16—22no—
193C11×M16—21no—
194C11×M16—44no—
195C11×M16#4112yescomplemented
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—22no—
199C2×C8×C11—44no—
200C11×C4⋊C4C22⋊C411yescharacteristic
201C11×C4⋊C4C22⋊C412yes—
202C11×C4⋊C4C22⋊C411yescharacteristic
203C11×C22⋊C4C22⋊C412yes—
204C11×C22⋊C4C22⋊C412yes—
205C11×C22⋊C4C22⋊C412yes—
206C11×C22⋊C4C22⋊C412yes—
207C42×C11C22×C411yescharacteristic
208C42×C11C22×C411yescharacteristic
209C42×C11C2×D411yescharacteristic
210C42×C11C2×D411yescharacteristic
211C22⋊Dic11—28no—
212C22⋊Dic11—22no—
213C22⋊Dic11—22no—
214C22⋊Dic11—22no—
215C22⋊Dic11—22no—
216C22⋊Dic11—22no—
217C22⋊Dic11—21no—
218(C2×D11)⋊C4—21no—
219(C2×D11)⋊C4—21no—
220(C2×D11)⋊C4—22no—
221(C2×D11)⋊C4—22no—
222C4⋊Dic11—24no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—22no—
226C4⋊Dic11—22no—
227C4⋊Dic11C22×C411yescharacteristic
228C4⋊Dic11C22×C411yescharacteristic
229C4⋊Dic11C22×C412yes—
230C4⋊Dic11C22×C412yes—
231Dic11⋊C4—22no—
232Dic11⋊C4—22no—
233Dic11⋊C4—21no—
234Dic11⋊C4—21no—
235Dic11⋊C4—22no—
236Dic11⋊C4—22no—
237C4×Dic11—24no—
238C4×Dic11—21no—
239C4×Dic11—21no—
240C4×Dic11—22no—
241C4×Dic11—22no—
242C4×Dic11—22no—
243C4×Dic11—21no—
244C4×Dic11—21no—
245C4×Dic11—22no—
246C4×Dic11—21no—
247C4×Dic11—22no—
248C4×Dic11—21no—
249C4×Dic11—44no—
250C4×Dic11—42no—
251C4×Dic11#4112yescomplemented
252#3475—111no—
253D4×M16D1111yescharacteristic, complemented
254C42×D4—111no—
255#1994—111no—
256#1986—111no—
257#1896—112no—
258#1871—112no—
259#1826—112no—
260#1806—111no—
261C4×#104—111no—
262C2×#339—112no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—24no—
266C23×C11—42no—
267C23×C11C2×C22⋊C412yes—
268C23×C11C2×C22⋊C412yes—
269C23×C11C22×D411yescharacteristic
270C22×D11—21no—
271D4×C11—24no—
272D4×C11—22no—
273D4×C11#10414yescomplemented
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—41no—
286C2×C4×C11C2×C22⋊C412yes—
287C2×C4×C11C2×C22⋊C411yescharacteristic
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C412yes—
290C2×C4×C11C2×C22⋊C411yescharacteristic
291C2×C4×C11C2×C22⋊C411yescharacteristic
292C2×C4×C11C23×C411yescharacteristic
293C2×C4×C11C22×D411yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11H(5,𝔽2)11yescharacteristic
297C2×C4×C112−1+411yescharacteristic
298C22⋊D11—41no—
299C22⋊D11—41no—
300C22⋊D11—44no—
301C22⋊D11—82no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—416no—
313C2×Dic11—41no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—41no—
317C2×Dic11—44no—
318C2×Dic11—82no—
319D44—21no—
320D44—21no—
321C4×D11—41no—
322C4×D11—41no—
323C4×D11—42no—
324C4×D11—81no—
325Dic22—21no—
326Dic22—21no—
327Dic22—42no—
328Dic22—81no—
329C8×C11—22no—
330C8×C11—42no—
331C8×C11—41no—
332C22×M16C2×D1112yes—
333#556—111no—
334#555—111no—
335#554—111no—
336#553—112no—
337#552—112no—
338#552—221no—
339#551—222no—
340#547—111no—
341#546—221no—
342#533—111no—
343#529—222no—
344#529—221no—
345#525—112no—
346C4×#41—111no—
347C4×#41—221no—
348C2×C4×D4—221no—
349C2×C4×D4C2×D1111yescharacteristic
350C2×#117—112no—
351C22×C42—112no—
352#436—21no—
353#435—22no—
354C8×D4—21no—
355#423C2×D1111yescharacteristic
356C2×#104—111no—
357C2×#104—111no—
358C2×#104—112no—
359#407C2×D1112yes—
360C4×M16C2×D1111yescharacteristic
361C4×C4⋊C4—111no—
362C4×C4⋊C4—221no—
363C4×C22⋊C4—112no—
364C4×C22⋊C4—222no—
365C43—111no—
366#339—112no—
367#339—111no—
368#339—112no—
369#339—112no—
370#339—112no—
371#339—112no—
372#339—111no—
373C22×C11—22no—
374C22×C11—21no—
375C22×C11—21no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—44no—
381C22×C11—44no—
382C22×C11C2×#10414yes—
383C22×C11C22×C22⋊C411yescharacteristic
384C22×C11#54611yescharacteristic
385C22×C11#54711yescharacteristic
386C2×D11—41no—
387C2×D11—41no—
388C2×D11—41no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—21no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11C2×#10412yes—
395C4×C11C4×#4111yescharacteristic
396C4×C11#52011yescharacteristic
397C4×C11#54611yescharacteristic
398C4×C11#54711yescharacteristic
399Dic11—24no—
400Dic11—42no—
401Dic11—44no—
402Dic11—41no—
403Dic11—42no—
404Dic11—41no—
405Dic11—42no—
406Dic11—41no—
407C2×#41—111no—
408C2×#41—221no—
409C22×D4D4411yescharacteristic
410C23×C4—222no—
411C23×C4C22×D1112yes—
412C2×M16—22no—
413C2×M16—24no—
414C2×M16—42no—
415C2×M16C22×D1112yes—
416C2×M16C22×D1111yescharacteristic
417C2×M16C22×D1111yescharacteristic
418C22×C8—22no—
419C4⋊Q8—111no—
420C4⋊Q8—111no—
421#126—222no—
422#126—222no—
423#126—222no—
424#125—112no—
425#125—222no—
426#125—221no—
427#124—221no—
428#124—222no—
429#123—222no—
430#123—222no—
431#123—222no—
432#123—222no—
433C22⋊Q8—112no—
434C22⋊Q8—112no—
435C22⋊Q8—221no—
436C22⋊Q8—221no—
437C22⋊Q8—221no—
438C22⋊Q8—222no—
439#121—112no—
440#121—112no—
441#121—222no—
442#121—221no—
443#120—222no—
444C4×Q8—111no—
445C4×Q8—111no—
446C4×Q8—221no—
447C4×Q8—221no—
448C4×Q8—221no—
449C4×D4—111no—
450C4×D4—111no—
451C4×D4—228no—
452C4×D4—221no—
453C4×D4—221no—
454C4×D4—221no—
455C4×D4—222no—
456C4×D4—222no—
457C4×D4—222no—
458C4×D4C4×D1111yescharacteristic
459C4×D4C4×D1112yes—
460C4×D4C4×D1111yescharacteristic
461C4×D4C22⋊D1111yescharacteristic
462C4×D4C22⋊D1112yes—
463C4×D4C22⋊D1111yescharacteristic
464#117—112no—
465#117—112no—
466#117—111no—
467#117—112no—
468#117—222no—
469#117—222no—
470#117—221no—
471#117—222no—
472#117—221no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4—112no—
475C2×C4⋊C4—221no—
476C2×C4⋊C4D4411yescharacteristic
477C2×C22⋊C4—222no—
478C2×C22⋊C4—222no—
479C2×C22⋊C4D4412yes—
480C2×C42—111no—
481C2×C42—111no—
482C2×C42—112no—
483C2×C42—224no—
484C2×C42—221no—
485C2×C42—222no—
486C2×C42—221no—
487C2×C42—221no—
488C2×C42—222no—
489C2×C42—442no—
490C2×C42C22×D1111yescharacteristic
491C4⋊C8—21no—
492C4⋊C8—21no—
493#104—222no—
494#104—222no—
495#104—442no—
496C22⋊C8—22no—
497C22⋊C8—22no—
498#97—21no—
499C4×C8—21no—
500#95—222no—
501#95—221no—
502C2×C11—21no—
503C2×C11—21no—
504C2×C11—24no—
505C2×C11—42no—
506C2×C11#233911yescharacteristic
507C2×C11C22×#10411yescharacteristic
508C2×C11#290111yescharacteristic
509D11—81no—
510C24C2×D4412yes—
511#41—221no—
512#41—221no—
513#41—221no—
514#41—221no—
515#41—444no—
516C2×Q8—111no—
517C2×Q8—221no—
518C2×Q8—221no—
519C2×D4—24no—
520C2×D4—111no—
521C2×D4—222no—
522C2×D4—221no—
523C2×D4—222no—
524C2×D4(C2×D11)⋊C412yes—
525C2×D4(C2×D11)⋊C411yescharacteristic
526C2×D4(C2×D11)⋊C411yescharacteristic
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—221no—
532C22×C4—228no—
533C22×C4—222no—
534C22×C4—221no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—444no—
541C22×C4—444no—
542C22×C4C2×C4×D1112yes—
543C22×C4C2×C4×D1112yes—
544C22×C4C2×D4412yes—
545C22×C4C2×D4411yescharacteristic
546C22×C4C2×D4411yescharacteristic
547C22×C4C2×C22⋊D1112yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C23×D1111yescharacteristic
550M16—21no—
551M16—22no—
552M16—22no—
553M16—21no—
554M16—21no—
555M16—44no—
556M16#434112yescomplemented
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—22no—
560C2×C8—44no—
561C4⋊C4—111no—
562C4⋊C4—111no—
563C4⋊C4—112no—
564C4⋊C4—112no—
565C4⋊C4—224no—
566C4⋊C4—222no—
567C4⋊C4—222no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—222no—
572C4⋊C4—222no—
573C4⋊C4—222no—
574C4⋊C4—222no—
575C4⋊C4—221no—
576C4⋊C4(C2×D11)⋊C411yescharacteristic
577C4⋊C4(C2×D11)⋊C411yescharacteristic
578C4⋊C4(C2×D11)⋊C412yes—
579C22⋊C4—228no—
580C22⋊C4—222no—
581C22⋊C4—222no—
582C22⋊C4—222no—
583C22⋊C4—222no—
584C22⋊C4—221no—
585C22⋊C4—222no—
586C22⋊C4—221no—
587C22⋊C4—221no—
588C22⋊C4—222no—
589C22⋊C4—222no—
590C22⋊C4(C2×D11)⋊C412yes—
591C22⋊C4(C2×D11)⋊C412yes—
592C22⋊C4(C2×D11)⋊C412yes—
593C22⋊C4(C2×D11)⋊C412yes—
594C42—112no—
595C42—224no—
596C42—222no—
597C42—222no—
598C42—221no—
599C42—221no—
600C42—221no—
601C42—221no—
602C42—222no—
603C42—221no—
604C42—222no—
605C42—222no—
606C42—221no—
607C42—444no—
608C42—442no—
609C42C2×C4×D1111yescharacteristic
610C42C2×C4×D1111yescharacteristic
611C42C2×C22⋊D1111yescharacteristic
612C42C2×C22⋊D1111yescharacteristic
613C11#2250511yescharacteristic, complemented, Sylow
614C23—24no—
615C23—22no—
616C23—22no—
617C23—42no—
618C23—221no—
619C23C2×(C2×D11)⋊C412yes—
620C23C2×(C2×D11)⋊C412yes—
621C23C22×D4411yescharacteristic
622Q8—221no—
623Q8—221no—
624Q8—442no—
625Q8—881no—
626D4—24no—
627D4—22no—
628D4—221no—
629D4—221no—
630D4—444no—
631D4—441no—
632D4—441no—
633D4—882no—
634D4#6688914yescomplemented
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—224no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—221no—
657C2×C4—4416no—
658C2×C4—441no—
659C2×C4—442no—
660C2×C4—444no—
661C2×C4—442no—
662C2×C4—441no—
663C2×C4—442no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—881no—
667C2×C4—882no—
668C2×C4C2×(C2×D11)⋊C412yes—
669C2×C4C2×(C2×D11)⋊C411yescharacteristic
670C2×C4C2×(C2×D11)⋊C411yescharacteristic
671C2×C4C2×(C2×D11)⋊C411yescharacteristic
672C2×C4C2×(C2×D11)⋊C412yes—
673C2×C4C2×(C2×D11)⋊C411yescharacteristic
674C2×C4C22×C4×D1111yescharacteristic
675C2×C4C2×#434111yescharacteristic
676C2×C4#6703711yescharacteristic
677C2×C4#41×D1111yescharacteristic
678C2×C4#6704311yescharacteristic
679C2×C4C22×C22⋊D1111yescharacteristic
680C8—22no—
681C8—42no—
682C8—41no—
683C22—22no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—44no—
691C22—44no—
692C22—441no—
693C22—441no—
694C22—441no—
695C22C2×#6688914yes—
696C22#1062308511yescharacteristic
697C22#1062308611yescharacteristic
698C22C22×(C2×D11)⋊C411yescharacteristic
699C4—22no—
700C4—22no—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—224no—
705C4—444no—
706C4—442no—
707C4—441no—
708C4—441no—
709C4—442no—
710C4—441no—
711C4—442no—
712C4C2×#6688912yes—
713C4C4×#434111yescharacteristic
714C4#1062307711yescharacteristic
715C4#1062333711yescharacteristic
716C4#1062335511yescharacteristic
717C2—21no—
718C2—21no—
719C2—24no—
720C2—42no—
721C2—881no—
722C2#1307144111yescharacteristic
723C2C22×#6688911yescharacteristic
724C2#1307716111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingD4×C11×M16C2
socleC22×C11C22×C22⋊C4
prime radical#13082174C2
cosocleC22×C4×C11C24
hypercenterD4×M16D11
hypocenterC11#22505
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×M16

Complements

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

NH ≅ G/Ntype
2. C4×D4×Dic11C2semidirect
3. #13069592C2semidirect
4. #13069560C2semidirect
5. #13069057C2semidirect
6. #13068918C2semidirect
7. #13068713C2semidirect
8. #13068633C2semidirect
9. C4×#66889C2semidirect
10. C2×#10622193C2semidirect
11. D4×C11×M16C2semidirect
19. #10623096C4semidirect
20. #10623094C4semidirect
22. #10623086C4semidirect
23. #10623074C4semidirect
24. #10623073C4semidirect
25. #10623072C4semidirect
83. #66983C2×C4semidirect
84. #66983C2×C4semidirect
92. #66979C2×C4semidirect
93. #66979C2×C4semidirect
97. C2×C4⋊Dic11C2×C4semidirect
98. C2×C4⋊Dic11C2×C4semidirect
101. #66977C2×C4semidirect
102. #66977C2×C4semidirect
126. C4×D44C2×C4semidirect
127. C4×D44C2×C4semidirect
130. #66923C2×C4semidirect
131. #66922C2×C4semidirect
132. #66922C2×C4semidirect
135. C4×Dic22C2×C4semidirect
136. C4×Dic22C2×C4semidirect
195. C11×M16#41semidirect
251. C4×Dic11#41semidirect
253. D4×M16D11semidirect
273. D4×C11#104semidirect
556. M16#4341semidirect
613. C11#22505semidirect
634. D4#66889semidirect

Maximal subgroups

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

subgroupindex
#130821742
C4×D4×Dic112
#130695922
#130695602
#130690572
#130689182
#130687132
#130686332
C4×#668892
C2×#106221932
D4×C11×M162
#2250511