Finite Group Databasebeta

← #14772101

Subgroups — #14772101

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622627C211yesmaximal, characteristic
2C2×#10622398C211yesmaximal, characteristic
3C2×#10622369C211yesmaximal, characteristic
4#13071526C211yesmaximal, characteristic, complemented
5#13071516C211yesmaximal, characteristic, complemented
6#13069358C211yesmaximal, characteristic, complemented
7#13069343C211yesmaximal, characteristic, complemented
8#13068878C211yesmaximal, characteristic, complemented
9#13068875C211yesmaximal, characteristic, complemented
10#13068864C211yesmaximal, characteristic, complemented
11#13068861C211yesmaximal, characteristic, complemented
12#13068782C211yesmaximal, characteristic, complemented
13#13068627C211yesmaximal, characteristic, complemented
14#13068493C211yesmaximal, characteristic, complemented
15C11×#1802C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×D4×Dic11C2211yescharacteristic
18C2×D4×Dic11C2211yescharacteristic
19C22×#4323C2211yescharacteristic
20C2×#66946C2211yescharacteristic
21C2×#66946C2211yescharacteristic
22C2×C4⋊C4×D11—21no—
23C2×C4×D44C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C11×#384C2211yescharacteristic
28C2×#66896C2211yescharacteristic
29#10622825—21no—
30C2×C11⋊#95—21no—
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66879C2211yescharacteristic
34C2×C8×Dic11C2211yescharacteristic
35#10622627C418yescomplemented
36#10622602—21no—
37#10622602—21no—
38#10622600—21no—
39#10622598C2211yescharacteristic
40#10622598C2211yescharacteristic
41#10622586C2211yescharacteristic
42#10622586C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622563—21no—
50#10622563—21no—
51#10622549C2211yescharacteristic
52C4×C4⋊Dic11C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54#10622398—24no—
55#10622369—24no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622188C2211yescharacteristic
61#10622188C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×Dic11—21no—
65C23×Dic11—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×C4×D11—21no—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C4×D4×C11—22no—
73C4×D4×C11C2×C414yescomplemented
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C42×C11C2311yescharacteristic
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83D4×Dic11—22no—
84D4×Dic11—22no—
85D4×Dic11—41no—
86D4×Dic11—41no—
87C2×#4323C2×C414yes—
88C2×#4323D414yes—
89C2×#4323Q814yes—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11D411yescharacteristic
96C2×C4⋊Dic11D411yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×C4×Dic11C2311yescharacteristic
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106#66946—22no—
107#66946—22no—
108#66946—41no—
109#66946—41no—
110C4⋊C4×D11—44no—
111C4×D44—22no—
112C4×D44C2×C414yescomplemented
113C11×C4⋊C8—22no—
114C11×#102—22no—
115C11×#102—22no—
116#66896C2×C414yescomplemented
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95D411yescharacteristic
124C11⋊#95D411yescharacteristic
125#66885—22no—
126#66885—22no—
127#66879—22no—
128C8×Dic11—22no—
129#66873C2×C414yescomplemented
130#66872—22no—
131#66872—41no—
132#66872C2×C414yescomplemented
133#66871—22no—
134#66871—41no—
135#66867C2×C414yescomplemented
136#22676—111nomaximal, Sylow
137C24×C11—21no—
138C23×D11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11C22×C412yes—
143C2×D4×C11C2×D412yes—
144C2×D4×C11C2×Q812yes—
145C22×C4×C11—21no—
146C22×C4×C11—24no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—81no—
150C22×C4×C11—81no—
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2411yescharacteristic
154C22×Dic11—21no—
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11—42no—
158C22×Dic11—42no—
159C22×Dic11—42no—
160C22×Dic11—42no—
161C22×Dic11—81no—
162C22×Dic11—81no—
163C22×Dic11C2×D411yescharacteristic
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44C22×C412yes—
171C2×D44C2×D412yes—
172C2×D44C2×Q812yes—
173C2×C4×D11—24no—
174C2×C4×D11—42no—
175C2×C4×D11—42no—
176C2×C4×D11—42no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—42no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—81no—
195C11×C4⋊C4C22×C412yes—
196C11×C22⋊C4—24no—
197C42×C11C22×C412yes—
198C42×C11#4112yes—
199C22⋊Dic11—42no—
200C22⋊Dic11—42no—
201#4323C4⋊C4116yescomplemented
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—42no—
205C4⋊Dic11—22no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—41no—
212C4⋊Dic11—81no—
213C4⋊Dic11—81no—
214C4⋊Dic11C22×C412yes—
215Dic11⋊C4—42no—
216Dic11⋊C4—42no—
217C4×Dic11—21no—
218C4×Dic11—21no—
219C4×Dic11—21no—
220C4×Dic11—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8C22×C412yes—
224C2×C11⋊C8C22×C412yes—
225C2×C11⋊C8C2×D412yes—
226C2×C11⋊C8C2×Q812yes—
227C2×#442—111no—
228C2×#442—111no—
229C2×C4×D8—111no—
230#2349—111no—
231D4×C4⋊C4—111no—
232#1944—111no—
233#1941—111no—
234#1864—111no—
235#1864—111no—
236#1862—111no—
237#1862—111no—
238#1847—111no—
239#1804—111no—
240#1802D1111yescharacteristic, complemented
241#1771—111no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11C22×D411yescharacteristic
250C22×D11—22no—
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—22no—
260D4×C11C2×C4⋊C414yescomplemented
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—84no—
275C2×C4×C11C4×D412yes—
276C2×C4×C11C4×D412yes—
277C2×C4×C11C23×C411yescharacteristic
278C2×C4×C11C22×D411yescharacteristic
279C2×C4×C11C22×Q811yescharacteristic
280C2×C4×C11C2×#4111yescharacteristic
281C2×C4×C11H(5,𝔽2)11yescharacteristic
282C2×C4×C112−1+411yescharacteristic
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—22no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—84no—
304C2×Dic11—84no—
305C2×Dic11AGL(1,ℤ/8)12yes—
306D44—22no—
307D44—22no—
308D44—22no—
309D44C2×C4⋊C414yes—
310C4×D11—48no—
311C4×D11—84no—
312C4×D11—84no—
313C8×C11—41no—
314C8×C11—41no—
315C11⋊C8—22no—
316C11⋊C8C2×C4⋊C414yescomplemented
317C22×D8—111no—
318C2×C4×D4—111no—
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4—111no—
322C2×C4×D4—111no—
323C2×C4×D4C2×D1111yescharacteristic
324C22×C4⋊C4—221no—
325#442—118no—
326#442—224no—
327C4×D8—224no—
328C2×#107—111no—
329C2×#107—111no—
330C2×#106—111no—
331C2×#106—111no—
332C2×#106—111no—
333C2×C4⋊C8C2×D1111yescharacteristic
334C2×#102—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102C2×D1111yescharacteristic
339C2×#102C2×D1111yescharacteristic
340C2×#97—111no—
341C2×#97—111no—
342C2×C4×C8—111no—
343#389—111no—
344#389—111no—
345#389—111no—
346#389—111no—
347#385—221no—
348#385—221no—
349#385—221no—
350#385—221no—
351#384C2×D1111yescharacteristic
352#382—111no—
353#380—221no—
354#380—221no—
355C4×C4⋊C4—111no—
356C2×#95—221no—
357#340—111no—
358#340—111no—
359#340C2×D1111yescharacteristic
360#340C2×D1111yescharacteristic
361#336—111no—
362#336—111no—
363C22×C11—24no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11C2×C4×D411yescharacteristic
371C22×C11D4211yescharacteristic
372C22×C11D4×Q811yescharacteristic
373C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
374C22×C11#57511yescharacteristic
375C22×C11#57611yescharacteristic
376C22×C11#57711yescharacteristic
377C2×D11—24no—
378C2×D11—42no—
379C2×D11—42no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—42no—
387C4×C11—81no—
388C4×C11—81no—
389C4×C11C22×C4⋊C411yescharacteristic
390C4×C11#52011yescharacteristic
391C4×C11#54711yescharacteristic
392C4×C11#55411yescharacteristic
393Dic11—22no—
394Dic11—42no—
395Dic11—41no—
396Dic11—41no—
397Dic11—41no—
398Dic11—81no—
399Dic11—81no—
400C22×D4—111no—
401C22×D4C22×D1111yescharacteristic
402C23×C4—21no—
403C23×C4—221no—
404C23×C4—221no—
405C23×C4—221no—
406C23×C4—221no—
407C23×C4—221no—
408C2×D8—114no—
409C2×D8—114no—
410C2×D8—114no—
411C22×C8—111no—
412C22×C8—111no—
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C4×D4—22no—
416C4×D4—114no—
417C4×D4—222no—
418C4×D4—222no—
419C4×D4—222no—
420C4×D4—222no—
421C4×D4—222no—
422C4×D4—441no—
423C4×D4—441no—
424C4×D4—441no—
425C4×D4—441no—
426C4×D4C4×D1114yescomplemented
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—444no—
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C42—111no—
449C2×C42—111no—
450C2×C42C22×D1111yescharacteristic
451#107—222no—
452#107—441no—
453#106—114no—
454#106—222no—
455#106—441no—
456C4⋊C8—22no—
457#102—22no—
458#102—22no—
459#102—114no—
460#102—114no—
461#102—222no—
462#102—222no—
463#97—114no—
464#97—222no—
465C4×C8—222no—
466#95—111no—
467#95—111no—
468#95—221no—
469#95—221no—
470#95—221no—
471#95—221no—
472#95—221no—
473#95—221no—
474C2×C11—44no—
475C2×C11D4×C4⋊C411yescharacteristic
476C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
477C2×C11#294611yescharacteristic
478C2×C11#326411yescharacteristic
479C2×C11#326711yescharacteristic
480C2×C11#338411yescharacteristic
481C2×C11#338911yescharacteristic
482D11—44no—
483C24—21no—
484C24—221no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—112no—
489C2×D4—112no—
490C2×D4—112no—
491C2×D4—221no—
492C2×D4—221no—
493C2×D4—221no—
494C2×D4C2×C4×D1112yes—
495C2×D4D4×D1112yes—
496C2×D4Q8×D1112yes—
497C22×C4—21no—
498C22×C4—24no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—81no—
502C22×C4—81no—
503C22×C4—111no—
504C22×C4—111no—
505C22×C4—111no—
506C22×C4—111no—
507C22×C4—221no—
508C22×C4—224no—
509C22×C4—221no—
510C22×C4—221no—
511C22×C4—442no—
512C22×C4—442no—
513C22×C4—442no—
514C22×C4—442no—
515C22×C4—442no—
516C22×C4—442no—
517C22×C4—442no—
518C22×C4—442no—
519C22×C4—442no—
520C22×C4—442no—
521C22×C4—881no—
522C22×C4—881no—
523C22×C4—881no—
524C22×C4—881no—
525C22×C4D4×D1111yescharacteristic
526C22×C4D4×D1111yescharacteristic
527C22×C4C23×D1111yescharacteristic
528D8—1116no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—112no—
536C2×C8—112no—
537C2×C8—112no—
538C2×C8—112no—
539C2×C8—221no—
540C2×C8—221no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—112no—
549C4⋊C4—222no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—441no—
556C4⋊C4—442no—
557C4⋊C4—442no—
558C4⋊C4—881no—
559C4⋊C4—881no—
560C4⋊C4C2×C4×D1112yes—
561C22⋊C4—24no—
562C22⋊C4—224no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4—442no—
566C22⋊C4—442no—
567C42—221no—
568C42—221no—
569C42—221no—
570C42—221no—
571C42C2×C4×D1112yes—
572C42#434112yes—
573C11#2267611yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—222no—
582C23—222no—
583C23—222no—
584C23—441no—
585C23—441no—
586C23—441no—
587C23—441no—
588C23C2×D4×D1111yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—114no—
593D4—222no—
594D4—222no—
595D4—222no—
596D4C4⋊C4×D1114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—112no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—222no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—221no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—448no—
625C2×C4—441no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—884no—
634C2×C4—884no—
635C2×C4—884no—
636C2×C4—884no—
637C2×C4(C22⋊D11)⋊C412yes—
638C2×C4(C22⋊D11)⋊C412yes—
639C2×C4C22×C4×D1111yescharacteristic
640C2×C4C2×D4×D1111yescharacteristic
641C2×C4C2×#434111yescharacteristic
642C2×C4C2×Q8×D1111yescharacteristic
643C2×C4#6704211yescharacteristic
644C2×C4#6704311yescharacteristic
645C8—41no—
646C8—41no—
647C8—114no—
648C8—222no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—224no—
657C22—442no—
658C22—442no—
659C22—442no—
660C22—442no—
661C22—442no—
662C22—442no—
663C22C2×(C22⋊D11)⋊C411yescharacteristic
664C22#1062314011yescharacteristic
665C22#1062316311yescharacteristic
666C22#1062328811yescharacteristic
667C22#1062329311yescharacteristic
668C22D11×AGL(1,ℤ/8)11yescharacteristic
669C22#1062330811yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—81no—
674C4—81no—
675C4—222no—
676C4—441no—
677C4—441no—
678C4—441no—
679C4—442no—
680C4—881no—
681C4—881no—
682C4C2×C4⋊C4×D1111yescharacteristic
683C4#1062305411yescharacteristic
684C4#1062314211yescharacteristic
685C4#1062316611yescharacteristic
686C2—44no—
687C2—444no—
688C2#1307151211yescharacteristic
689C2#1307742911yescharacteristic
690C2#1307744211yescharacteristic
691C2#1308009111yescharacteristic
692C2#1308014711yescharacteristic
693C2#1308151011yescharacteristic
694C2#1308156911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1802C2
socleC23×C11C22×D4
prime radicalC22×#4323C22
cosocleC22×C4×C11C24
hypercenter#1802D11
hypocenterC11#22676
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
4. #13071526C2semidirect
5. #13071516C2semidirect
6. #13069358C2semidirect
7. #13069343C2semidirect
8. #13068878C2semidirect
9. #13068875C2semidirect
10. #13068864C2semidirect
11. #13068861C2semidirect
12. #13068782C2semidirect
13. #13068627C2semidirect
14. #13068493C2semidirect
15. C11×#1802C2semidirect
35. #10622627C4semidirect
73. C4×D4×C11C2×C4semidirect
112. C4×D44C2×C4semidirect
116. #66896C2×C4semidirect
129. #66873C2×C4semidirect
132. #66872C2×C4semidirect
135. #66867C2×C4semidirect
201. #4323C4⋊C4semidirect
240. #1802D11semidirect
260. D4×C11C2×C4⋊C4semidirect
316. C11⋊C8C2×C4⋊C4semidirect
426. C4×D4C4×D11semidirect
573. C11#22676semidirect
596. D4C4⋊C4×D11semidirect

Maximal subgroups

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

subgroupindex
C2×#106226272
C2×#106223982
C2×#106223692
#130715262
#130715162
#130693582
#130693432
#130688782
#130688752
#130688642
#130688612
#130687822
#130686272
#130684932
C11×#18022
#2267611