Finite Group Databasebeta

← #14772108

Subgroups — #14772108

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×#10622765C211yesmaximal, characteristic
2C2×D8×Dic11C211yesmaximal, characteristic
3#13071526C211yesmaximal, characteristic, complemented
4D4×C4⋊Dic11C211yesmaximal, characteristic, complemented
5#13069360C211yesmaximal, characteristic, complemented
6#13069345C211yesmaximal, characteristic, complemented
7#13068879C211yesmaximal, characteristic, complemented
8#13068879C211yesmaximal, characteristic, complemented
9#13068865C211yesmaximal, characteristic, complemented
10#13068865C211yesmaximal, characteristic, complemented
11#13068784C211yesmaximal, characteristic, complemented
12#13068626C211yesmaximal, characteristic, complemented
13#13068616C211yesmaximal, characteristic, complemented
14#13068488C211yesmaximal, characteristic, complemented
15C2×C11×#442C211yesmaximal, characteristic
16C22×C11×D8C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×D4×Dic11C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C22×C4⋊Dic11—21no—
24C11×#442C418yescomplemented
25C2×C11×#106C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C11×#97C2211yescharacteristic
29C2×#66896C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33#10622825—21no—
34#10622825—21no—
35C2×C11⋊#95—21no—
36#10622765—24no—
37D8×Dic11—24no—
38C2×#66882C2211yescharacteristic
39C2×#66882C2211yescharacteristic
40C2×#66881C2211yescharacteristic
41C2×#66881C2211yescharacteristic
42C2×#66879C2211yescharacteristic
43C2×C8×Dic11C2211yescharacteristic
44#10622598C2211yescharacteristic
45#10622598C2211yescharacteristic
46#10622598C2211yescharacteristic
47#10622598C2211yescharacteristic
48#10622563—21no—
49#10622563—21no—
50#10622563—21no—
51#10622563—21no—
52#10622549C2211yescharacteristic
53#10622548C2211yescharacteristic
54C4×C4⋊Dic11C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×Dic11—21no—
67C23×Dic11—21no—
68C23×Dic11—21no—
69C23×Dic11—21no—
70C2×C11×D8C2×C414yes—
71C2×C11×D8D414yes—
72C2×C11×D8Q814yes—
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C4×D4×C11—22no—
76C4×D4×C11—22no—
77C4×D4×C11C2×C414yescomplemented
78C4×D4×C11C2×C414yescomplemented
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C42×C11C2311yescharacteristic
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88D4×Dic11—22no—
89D4×Dic11—22no—
90D4×Dic11—22no—
91D4×Dic11—22no—
92D4×Dic11—41no—
93D4×Dic11—41no—
94D4×Dic11—41no—
95D4×Dic11—41no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11—21no—
102C2×C4⋊Dic11—44no—
103C2×C4⋊Dic11D411yescharacteristic
104C2×C4⋊Dic11D411yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C11×#106C2×C414yescomplemented
114C11×#102C2×C414yescomplemented
115C11×#102C2×C414yescomplemented
116C11×#97C2×C414yescomplemented
117#66896—22no—
118#66896—22no—
119#66896—22no—
120#66896—22no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95D411yescharacteristic
128C11⋊#95D411yescharacteristic
129#66882—22no—
130#66882—41no—
131#66881—22no—
132#66881—41no—
133#66879—22no—
134C8×Dic11—22no—
135C4⋊(C11⋊C8)—22no—
136#22676—111nomaximal, Sylow
137C24×C11—21no—
138C24×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11C22×C412yes—
146C2×D4×C11C22×C412yes—
147C2×D4×C11C2×D412yes—
148C2×D4×C11C2×D412yes—
149C2×D4×C11C2×Q812yes—
150C2×D4×C11C2×Q812yes—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—24no—
154C22×C4×C11—24no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2411yescharacteristic
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—42no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11—42no—
170C22×Dic11—42no—
171C22×Dic11—42no—
172C22×Dic11—42no—
173C22×Dic11—42no—
174C22×Dic11—81no—
175C22×Dic11—81no—
176C22×Dic11—81no—
177C22×Dic11—81no—
178C22×Dic11C2×D411yescharacteristic
179C22×Dic11C2×D411yescharacteristic
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C11×D8C4⋊C4116yescomplemented
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11C22×C412yes—
186C2×C8×C11C22×C412yes—
187C2×C8×C11C2×D412yes—
188C2×C8×C11C2×Q812yes—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4C22×C412yes—
192C11×C4⋊C4C22×C412yes—
193C11×C22⋊C4—24no—
194C11×C22⋊C4—24no—
195C42×C11C22×C412yes—
196C42×C11#4112yes—
197C22⋊Dic11—42no—
198C22⋊Dic11—42no—
199C22⋊Dic11—42no—
200C22⋊Dic11—42no—
201C4⋊Dic11—22no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—41no—
211C4⋊Dic11—42no—
212C4⋊Dic11—42no—
213C4⋊Dic11—42no—
214C4⋊Dic11—81no—
215C4⋊Dic11—81no—
216C4⋊Dic11—81no—
217C4×Dic11—21no—
218C4×Dic11—21no—
219C4×Dic11—21no—
220C4×Dic11—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×#442—111no—
228C2×#442D1111yescharacteristic
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#1802—111no—
241#1771—111no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11C22×D411yescharacteristic
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—22no—
260D4×C11—22no—
261D4×C11—22no—
262D4×C11—22no—
263D4×C11C2×C4⋊C414yes—
264D4×C11C2×C4⋊C414yescomplemented
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—48no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—84no—
277C2×C4×C11C4×D412yes—
278C2×C4×C11C4×D412yes—
279C2×C4×C11C23×C411yescharacteristic
280C2×C4×C11C22×D411yescharacteristic
281C2×C4×C11C22×Q811yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11H(5,𝔽2)11yescharacteristic
284C2×C4×C112−1+411yescharacteristic
285C2×Dic11—21no—
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—21no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—84no—
309C2×Dic11—84no—
310C2×Dic11—84no—
311C2×Dic11—84no—
312C2×Dic11AGL(1,ℤ/8)12yes—
313C8×C11—22no—
314C8×C11C2×C4⋊C414yescomplemented
315C11⋊C8—41no—
316C11⋊C8—41no—
317C22×D8C2×D1111yescharacteristic
318C2×C4×D4—111no—
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4—111no—
322C2×C4×D4C2×D1111yescharacteristic
323C2×C4×D4C2×D1111yescharacteristic
324C22×C4⋊C4—221no—
325#442—224no—
326#442Dic1118yescomplemented
327C4×D8—224no—
328C2×#107—111no—
329C2×#107—111no—
330C2×#106—111no—
331C2×#106—111no—
332C2×#106C2×D1111yescharacteristic
333C2×C4⋊C8—111no—
334C2×#102—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102C2×D1111yescharacteristic
339C2×#102C2×D1111yescharacteristic
340C2×#97—111no—
341C2×#97C2×D1111yescharacteristic
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#384—111no—
352#382—111no—
353#380—221no—
354#380—221no—
355C4×C4⋊C4—111no—
356C2×#95—221no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#336—111no—
362#336—111no—
363C22×C11—24no—
364C22×C11—24no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11—42no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11C2×C4×D411yescharacteristic
378C22×C11D4211yescharacteristic
379C22×C11D4×Q811yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57611yescharacteristic
383C22×C11#57711yescharacteristic
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—42no—
387C4×C11—42no—
388C4×C11C22×C4⋊C411yescharacteristic
389C4×C11#52011yescharacteristic
390C4×C11#54711yescharacteristic
391C4×C11#55411yescharacteristic
392Dic11—22no—
393Dic11—41no—
394Dic11—41no—
395Dic11—41no—
396Dic11—81no—
397Dic11—81no—
398Dic11—81no—
399Dic11—81no—
400C22×D4C22×D1111yescharacteristic
401C22×D4C22×D1111yescharacteristic
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—221no—
405C23×C4—221no—
406C23×C4—221no—
407C23×C4—221no—
408C2×D8Dic2214yes—
409C2×D8D4414yes—
410C2×D8C2×Dic1114yes—
411C22×C8—111no—
412C22×C8—111no—
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—222no—
418C4×D4—222no—
419C4×D4—222no—
420C4×D4—222no—
421C4×D4—441no—
422C4×D4—441no—
423C4×D4—441no—
424C4×D4—441no—
425C4×D4C2×Dic1114yescomplemented
426C4×D4C2×Dic1114yescomplemented
427C2×C4⋊C4—111no—
428C2×C4⋊C4—111no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—221no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4—444no—
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
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—222no—
454#106—441no—
455#106C2×Dic1114yescomplemented
456C4⋊C8—222no—
457#102—222no—
458#102—222no—
459#102—222no—
460#102—222no—
461#102C2×Dic1114yescomplemented
462#102C2×Dic1114yescomplemented
463#97—222no—
464#97C2×Dic1114yescomplemented
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×C11—44no—
476C2×C11D4×C4⋊C411yescharacteristic
477C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
478C2×C11#294611yescharacteristic
479C2×C11#326411yescharacteristic
480C2×C11#326711yescharacteristic
481C2×C11#338411yescharacteristic
482C2×C11#338911yescharacteristic
483C24—21no—
484C24—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4C2×Dic2212yes—
492C2×D4C2×Dic2212yes—
493C2×D4C2×D4412yes—
494C2×D4C2×D4412yes—
495C2×D4C22×Dic1112yes—
496C2×D4C22×Dic1112yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—111no—
506C22×C4—111no—
507C22×C4—111no—
508C22×C4—111no—
509C22×C4—221no—
510C22×C4—221no—
511C22×C4—221no—
512C22×C4—221no—
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
528D8C4⋊Dic11116yescomplemented
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8C2×Dic2212yes—
538C2×C8C2×D4412yes—
539C2×C8C22×Dic1112yes—
540C2×C8C22×Dic1112yes—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—222no—
544C4⋊C4—221no—
545C4⋊C4—221no—
546C4⋊C4—221no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—441no—
553C4⋊C4—442no—
554C4⋊C4—442no—
555C4⋊C4—442no—
556C4⋊C4—881no—
557C4⋊C4—881no—
558C4⋊C4—881no—
559C4⋊C4C22×Dic1112yes—
560C4⋊C4C22×Dic1112yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4—442no—
566C22⋊C4—442no—
567C42—221no—
568C42—221no—
569C42—221no—
570C42—221no—
571C42#434112yes—
572C42C22×Dic1112yes—
573C11#2267611yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C2×D4×D1111yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4C2×C4⋊Dic1114yes—
596D4C2×C4⋊Dic1114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—48no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—112no—
610C2×C4—221no—
611C2×C4—221no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—221no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—441no—
622C2×C4—441no—
623C2×C4—441no—
624C2×C4—441no—
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×C4D4×Dic1112yes—
638C2×C4D4×Dic1112yes—
639C2×C4C22×Dic2211yescharacteristic
640C2×C4C22×D4411yescharacteristic
641C2×C4C2×#434111yescharacteristic
642C2×C4#6704211yescharacteristic
643C2×C4#6704311yescharacteristic
644C2×C4C23×Dic1111yescharacteristic
645C8—22no—
646C8—441no—
647C8—441no—
648C8C2×C4⋊Dic1114yescomplemented
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22D4×Dic2211yescharacteristic
664C22D4×D4411yescharacteristic
665C22D11×AGL(1,ℤ/8)11yescharacteristic
666C22#1062330411yescharacteristic
667C22#1062330511yescharacteristic
668C22#1062330611yescharacteristic
669C22C2×D4×Dic1111yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—222no—
675C4—441no—
676C4—441no—
677C4—441no—
678C4—881no—
679C4—881no—
680C4—881no—
681C4—881no—
682C4#1062307411yescharacteristic
683C4#1062308611yescharacteristic
684C4C22×C4⋊Dic1111yescharacteristic
685C4#1062335811yescharacteristic
686C2—44no—
687C2—44no—
688C2D4×C4⋊Dic1111yescharacteristic
689C2AGL(1,ℤ/8)×Dic1111yescharacteristic
690C2#1307744911yescharacteristic
691C2#1308009811yescharacteristic
692C2#1308014311yescharacteristic
693C2#1308151611yescharacteristic
694C2#1308157511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#442C2
socleC23×C11C22×D4
prime radicalC22×C11×D8C22
cosocleC22×C4×C11C24
hypercenterC2×#442D11
hypocenterC11#22676
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
3. #13071526C2semidirect
4. D4×C4⋊Dic11C2semidirect
5. #13069360C2semidirect
6. #13069345C2semidirect
7. #13068879C2semidirect
8. #13068879C2semidirect
9. #13068865C2semidirect
10. #13068865C2semidirect
11. #13068784C2semidirect
12. #13068626C2semidirect
13. #13068616C2semidirect
14. #13068488C2semidirect
24. C11×#442C4semidirect
77. C4×D4×C11C2×C4semidirect
78. C4×D4×C11C2×C4semidirect
113. C11×#106C2×C4semidirect
114. C11×#102C2×C4semidirect
115. C11×#102C2×C4semidirect
116. C11×#97C2×C4semidirect
182. C11×D8C4⋊C4semidirect
264. D4×C11C2×C4⋊C4semidirect
314. C8×C11C2×C4⋊C4semidirect
326. #442Dic11semidirect
425. C4×D4C2×Dic11semidirect
426. C4×D4C2×Dic11semidirect
455. #106C2×Dic11semidirect
461. #102C2×Dic11semidirect
462. #102C2×Dic11semidirect
464. #97C2×Dic11semidirect
528. D8C4⋊Dic11semidirect
573. C11#22676semidirect
596. D4C2×C4⋊Dic11semidirect
648. C8C2×C4⋊Dic11semidirect

Maximal subgroups

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

subgroupindex
C2×#106227652
C2×D8×Dic112
#130715262
D4×C4⋊Dic112
#130693602
#130693452
#130688792
#130688652
#130687842
#130686262
#130686162
#130684882
C2×C11×#4422
#2267611