Finite Group Databasebeta

← #14760796

Subgroups — #14760796

Order 2816.

924 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622625C211yesmaximal, characteristic
2C2×M16×Dic11C211yesmaximal, characteristic, complemented
3C4×#66988C211yesmaximal, characteristic
4#13069232C211yesmaximal, characteristic, complemented
5#13069225C211yesmaximal, characteristic, complemented
6#13069183C211yesmaximal, characteristic, complemented
7#13069176C211yesmaximal, characteristic, complemented
8#13068799C211yesmaximal, characteristic, complemented
9#13068682C211yesmaximal, characteristic, complemented
10#13068487C211yesmaximal, characteristic, complemented
11#13068477C211yesmaximal, characteristic, complemented
12#13068402C211yesmaximal, characteristic, complemented
13#13068402C211yesmaximal, characteristic, complemented
14#13068402C211yesmaximal, characteristic, complemented
15C11×#1870C211yesmaximal, characteristic
16C22×C11×M16C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×#66988C411yescharacteristic
19C22×C4×Dic11C2211yescharacteristic
20C22×#4318C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C2×C11×C22⋊C8C2211yescharacteristic
23C2×C11×C22⋊C8C2211yescharacteristic
24C2×C11×C22⋊C8C2211yescharacteristic
25#10622833C411yescharacteristic
26C4×C22⋊Dic11C2211yescharacteristic
27C4×C22⋊Dic11C2211yescharacteristic
28C4×C22⋊Dic11C2211yescharacteristic
29C2×C22⋊(C11⋊C8)C2211yescharacteristic
30C2×C22⋊(C11⋊C8)C2211yescharacteristic
31M16×Dic11—24no—
32C2×#66879C2211yescharacteristic
33C2×#66879C2211yescharacteristic
34C2×#66879C2211yescharacteristic
35C2×Dic11⋊C8C2211yescharacteristic
36C2×Dic11⋊C8C2211yescharacteristic
37C2×C8×Dic11C2211yescharacteristic
38C2×C8×Dic11C2211yescharacteristic
39C2×C8×Dic11C2211yescharacteristic
40#10622625—24no—
41#10622591C411yescharacteristic
42#10622591C411yescharacteristic
43#10622559C411yescharacteristic
44#10622557C411yescharacteristic
45#10622557C411yescharacteristic
46#10622556C411yescharacteristic
47C4×Dic11⋊C4C2211yescharacteristic
48C4×Dic11⋊C4C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51C11×#336C2211yescharacteristic
52C11×#336C2211yescharacteristic
53#10622188C2211yescharacteristic
54#10622188C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622188C2211yescharacteristic
61C22×D4×C11C2×C411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×Dic11C2×C411yescharacteristic
65C23×Dic11C2×C411yescharacteristic
66C2×C11×M16—22no—
67C2×C11×M16—22no—
68C2×C11×M16—22no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4C2×C411yescharacteristic
76C2×C11×C22⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4C2×C411yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C22⋊Dic11C2×C411yescharacteristic
80C2×C22⋊Dic11C2×C411yescharacteristic
81C2×C22⋊Dic11C2×C411yescharacteristic
82C2×C22⋊Dic11C2×C411yescharacteristic
83C2×C22⋊Dic11C2×C411yescharacteristic
84C2×C22⋊Dic11C2×C411yescharacteristic
85#66988—24no—
86C2×Dic11⋊C4C2×C411yescharacteristic
87C2×Dic11⋊C4C2×C411yescharacteristic
88C2×Dic11⋊C4C2×C411yescharacteristic
89C2×Dic11⋊C4C2×C411yescharacteristic
90C2×C4×Dic11—22no—
91C2×C4×Dic11—22no—
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11C2×C411yescharacteristic
94C2×C4×Dic11C2311yescharacteristic
95C2×C4×Dic11C2311yescharacteristic
96C2×C4×Dic11C2311yescharacteristic
97C2×C4×Dic11C2311yescharacteristic
98C2×#4318—22no—
99C2×#4318—22no—
100C2×#4318—22no—
101C2×#4318—22no—
102C2×#4318—22no—
103C2×#4318D414yes—
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C11×C22⋊C8—22no—
109C11×C22⋊C8—22no—
110C11×C22⋊C8—22no—
111C11⋊#95C2×C411yescharacteristic
112C11⋊#95C2×C411yescharacteristic
113C11⋊#95C2×C411yescharacteristic
114C11⋊#95C2×C411yescharacteristic
115C11⋊#95C2×C411yescharacteristic
116C11⋊#95C2×C411yescharacteristic
117C11⋊#95C2×C411yescharacteristic
118C11⋊#95C2×C411yescharacteristic
119C11⋊#95C2×C411yescharacteristic
120C11⋊#95C2×C411yescharacteristic
121C22⋊(C11⋊C8)—22no—
122C22⋊(C11⋊C8)—22no—
123#66879—22no—
124#66879—22no—
125#66879—22no—
126Dic11⋊C8—22no—
127Dic11⋊C8—22no—
128C8×Dic11—22no—
129C8×Dic11—22no—
130C8×Dic11—22no—
131C4⋊(C11⋊C8)—22no—
132C4×C11⋊C8—22no—
133#21565—111nomaximal, Sylow
134C24×C11C22×C411yescharacteristic
135C24×C11C22×C411yescharacteristic
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—41no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11C22×C411yescharacteristic
150C22×C4×C11C22×C411yescharacteristic
151C22×C4×C11C22×C411yescharacteristic
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C2×D412yes—
154C22×C4×C11#4112yes—
155C22×C4×C11C2411yescharacteristic
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—41no—
161C22×Dic11—41no—
162C22×Dic11C22×C411yescharacteristic
163C22×Dic11C22×C411yescharacteristic
164C22×Dic11C22×C411yescharacteristic
165C22×Dic11C22×C411yescharacteristic
166C22×Dic11C22×C411yescharacteristic
167C22×Dic11C22×C411yescharacteristic
168C22×Dic11C22×C411yescharacteristic
169C22×Dic11C22×C411yescharacteristic
170C11×M16—28no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11#4112yes—
182C2×C8×C11#4112yes—
183C11×C4⋊C4—22no—
184C11×C22⋊C4—22no—
185C11×C22⋊C4—22no—
186C42×C11—21no—
187C42×C11—21no—
188C22⋊Dic11—22no—
189C22⋊Dic11—22no—
190C22⋊Dic11—22no—
191C22⋊Dic11—22no—
192C22⋊Dic11—41no—
193C22⋊Dic11—41no—
194Dic11⋊C4—22no—
195Dic11⋊C4—22no—
196Dic11⋊C4—41no—
197Dic11⋊C4M1614yescomplemented
198C4×Dic11—22no—
199C4×Dic11—22no—
200C4×Dic11—21no—
201C4×Dic11—21no—
202C4×Dic11—21no—
203C4×Dic11—21no—
204C4×Dic11—21no—
205C4×Dic11—21no—
206C4×Dic11—21no—
207C4×Dic11—21no—
208#4318—28no—
209#4318—44no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8C2×D412yes—
219C2×C11⋊C8C2×D412yes—
220C2×C11⋊C8#4112yes—
221C2×C11⋊C8#4112yes—
222C2×#436—111no—
223C2×C4×M16—111no—
224C4×#123—111no—
225#1924—111no—
226#1923—111no—
227#1917—111no—
228#1916—111no—
229#1870D1111yescharacteristic
230#1851—111no—
231#1817—111no—
232#1771—111no—
233C8×C4⋊C4—111no—
234#1753—111no—
235#1753—111no—
236#1753—111no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11C4×D412yes—
251C23×C11C23×C411yescharacteristic
252D4×C11—44no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11C4×D412yes—
272C2×C4×C11C2×M1612yes—
273C2×C4×C11C22×D411yescharacteristic
274C2×C4×C11C2×#4111yescharacteristic
275C2×C4×C11C2×#4111yescharacteristic
276C2×C4×C11C2×#4111yescharacteristic
277C2×C4×C11C2×#4111yescharacteristic
278C2×C4×C11C2×#4111yescharacteristic
279C2×Dic11—21no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
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—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—44no—
301C2×Dic11—44no—
302C2×Dic11C2×M1612yes—
303C2×Dic11C2×M1612yes—
304C2×Dic11#13112yes—
305C8×C11—22no—
306C8×C11—22no—
307C8×C11—41no—
308C8×C11—41no—
309C11⋊C8—22no—
310C11⋊C8—41no—
311C11⋊C8—41no—
312C11⋊C8#12314yescomplemented
313C22×M16—111no—
314C22×M16—111no—
315C22×M16C2×D1111yescharacteristic
316C2×#123—111no—
317C2×C4×D4C2×D1111yescharacteristic
318C22×C42—111no—
319#436—224no—
320C2×C4⋊C8—111no—
321C2×C4⋊C8—111no—
322C2×C4⋊C8—111no—
323C2×C22⋊C8—111no—
324C2×C22⋊C8—111no—
325C2×C22⋊C8C2×D1111yescharacteristic
326C2×C22⋊C8C2×D1111yescharacteristic
327C2×C22⋊C8C2×D1111yescharacteristic
328C4×M16—224no—
329C2×#97—111no—
330C2×#97—111no—
331C2×#97—111no—
332C2×C4×C8—111no—
333C2×C4×C8—111no—
334C2×C4×C8—111no—
335C2×C4×C8—111no—
336#388—111no—
337#388—111no—
338#387—111no—
339#387—111no—
340#386—111no—
341#385—111no—
342#381—111no—
343C4×C4⋊C4—111no—
344C4×C4⋊C4—111no—
345C4×C22⋊C4—111no—
346C4×C22⋊C4—111no—
347C4×C22⋊C4—111no—
348#336—111no—
349#336—111no—
350#336—111no—
351#336—111no—
352#336—111no—
353#336—111no—
354#336—111no—
355#336—111no—
356#336C2×D1111yescharacteristic
357#336C2×D1111yescharacteristic
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11—41no—
366C22×C11—41no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11C2×C4×D411yescharacteristic
373C22×C11C4×#4111yescharacteristic
374C22×C11C4×#4111yescharacteristic
375C22×C11C22×M1611yescharacteristic
376C22×C11C2×#13111yescharacteristic
377C22×C11#56811yescharacteristic
378C22×C11#56811yescharacteristic
379C4×C11—22no—
380C4×C11—22no—
381C4×C11—41no—
382C4×C11—41no—
383C4×C11C2×#12311yescharacteristic
384C4×C11#52511yescharacteristic
385C4×C11#52911yescharacteristic
386C4×C11#52911yescharacteristic
387Dic11—22no—
388Dic11—22no—
389Dic11—22no—
390Dic11—41no—
391Dic11—41no—
392Dic11—41no—
393Dic11—41no—
394Dic11—41no—
395C22×D4C4×D1111yescharacteristic
396C23×C4—111no—
397C23×C4—111no—
398C23×C4C22×D1111yescharacteristic
399C23×C4C22×D1111yescharacteristic
400C2×M16—22no—
401C2×M16—22no—
402C2×M16—22no—
403C2×M16—114no—
404C2×M16—222no—
405C2×M16—222no—
406C2×M16—222no—
407C2×M16—222no—
408C2×M16—222no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—111no—
412C22×C8—111no—
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C22×C8C22×D1111yescharacteristic
416C22×C8C22×D1111yescharacteristic
417#123—224no—
418C4×D4—22no—
419C4×D4—22no—
420C2×C4⋊C4—111no—
421C2×C4⋊C4—111no—
422C2×C4⋊C4—111no—
423C2×C4⋊C4—111no—
424C2×C4⋊C4C4×D1111yescharacteristic
425C2×C22⋊C4—111no—
426C2×C22⋊C4—111no—
427C2×C22⋊C4—111no—
428C2×C22⋊C4—111no—
429C2×C22⋊C4—111no—
430C2×C22⋊C4—111no—
431C2×C22⋊C4C4×D1111yescharacteristic
432C2×C22⋊C4C4×D1111yescharacteristic
433C2×C42—111no—
434C2×C42—111no—
435C2×C42—111no—
436C2×C42—111no—
437C2×C42—111no—
438C2×C42—111no—
439C2×C42—222no—
440C2×C42—222no—
441C2×C42C22×D1111yescharacteristic
442C4⋊C8—222no—
443C4⋊C8—222no—
444C4⋊C8—222no—
445C22⋊C8—22no—
446C22⋊C8—22no—
447C22⋊C8—22no—
448C22⋊C8—222no—
449C22⋊C8—222no—
450#97—222no—
451#97—222no—
452#97—222no—
453C4×C8—222no—
454C4×C8—222no—
455C4×C8—222no—
456C4×C8—222no—
457#95—111no—
458#95—111no—
459#95—111no—
460#95—111no—
461#95—111no—
462#95—111no—
463#95—111no—
464#95—111no—
465#95—111no—
466#95—111no—
467C2×C11—42no—
468C2×C11—81no—
469C2×C11C4×#12311yescharacteristic
470C2×C11#293311yescharacteristic
471C2×C11D4×M1611yescharacteristic
472C2×C11#296511yescharacteristic
473C2×C11#296711yescharacteristic
474C2×C11#296911yescharacteristic
475C2×C11#297111yescharacteristic
476C24C2×C4×D1111yescharacteristic
477C24C2×C4×D1111yescharacteristic
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—41no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—111no—
492C22×C4—111no—
493C22×C4—111no—
494C22×C4—111no—
495C22×C4—111no—
496C22×C4—111no—
497C22×C4—111no—
498C22×C4—111no—
499C22×C4—222no—
500C22×C4—222no—
501C22×C4—222no—
502C22×C4—222no—
503C22×C4—441no—
504C22×C4—441no—
505C22×C4C2×C4×D1111yescharacteristic
506C22×C4C2×C4×D1111yescharacteristic
507C22×C4C2×C4×D1111yescharacteristic
508C22×C4C2×C4×D1111yescharacteristic
509C22×C4D4×D1112yes—
510C22×C4#434112yes—
511C22×C4C23×D1111yescharacteristic
512M16—28no—
513M16—228no—
514M16—444no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—112no—
526C2×C8—112no—
527C2×C8—112no—
528C2×C8—112no—
529C2×C8—221no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8#434112yes—
538C2×C8#434112yes—
539C4⋊C4—22no—
540C4⋊C4—114no—
541C4⋊C4—222no—
542C4⋊C4—222no—
543C4⋊C4—441no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—222no—
547C22⋊C4—222no—
548C22⋊C4—222no—
549C22⋊C4—222no—
550C22⋊C4—441no—
551C22⋊C4—441no—
552C42—21no—
553C42—21no—
554C42—222no—
555C42—222no—
556C42—221no—
557C42—221no—
558C42—221no—
559C42—221no—
560C42—221no—
561C42—221no—
562C42—221no—
563C42—221no—
564C11#2156511yescharacteristic, complemented, Sylow
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23(C22⋊D11)⋊C412yes—
579C23C22×C4×D1111yescharacteristic
580D4—44no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—112no—
600C2×C4—112no—
601C2×C4—112no—
602C2×C4—221no—
603C2×C4—221no—
604C2×C4—221no—
605C2×C4—221no—
606C2×C4—221no—
607C2×C4—221no—
608C2×C4—221no—
609C2×C4—221no—
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—221no—
622C2×C4—221no—
623C2×C4—444no—
624C2×C4—444no—
625C2×C4(C22⋊D11)⋊C412yes—
626C2×C4M16×D1112yes—
627C2×C4C2×D4×D1111yescharacteristic
628C2×C4C2×#434111yescharacteristic
629C2×C4C2×#434111yescharacteristic
630C2×C4C2×#434111yescharacteristic
631C2×C4#41×D1111yescharacteristic
632C2×C4#41×D1111yescharacteristic
633C8—22no—
634C8—22no—
635C8—41no—
636C8—41no—
637C8—114no—
638C8—222no—
639C8—441no—
640C8—441no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22C2×(C22⋊D11)⋊C411yescharacteristic
656C22C4×#434111yescharacteristic
657C22C4×#434111yescharacteristic
658C22C2×M16×D1111yescharacteristic
659C22#1062327611yescharacteristic
660C22D11×#13111yescharacteristic
661C22#1062328111yescharacteristic
662C4—22no—
663C4—22no—
664C4—41no—
665C4—41no—
666C4—222no—
667C4—222no—
668C4—222no—
669C4—441no—
670C4—441no—
671C4—441no—
672C4—441no—
673C4—441no—
674C4#1062311711yescharacteristic
675C4#1062313111yescharacteristic
676C4#1062313111yescharacteristic
677C4D11×#12311yescharacteristic
678C2—42no—
679C2—81no—
680C2#1307114111yescharacteristic
681C2#1307734611yescharacteristic
682C2#1307734811yescharacteristic
683C2#1307757911yescharacteristic
684C2#1307759511yescharacteristic
685C2#1307761311yescharacteristic
686C2#1307763211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#1870C2
prime radicalC22×D4×C11C2×C4
cosocleC22×C4×C11C24
hypercenter#1870D11
hypocenterC11#21565
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1870

Complements

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

NH ≅ G/Ntype
2. C2×M16×Dic11C2semidirect
4. #13069232C2semidirect
5. #13069225C2semidirect
6. #13069183C2semidirect
7. #13069176C2semidirect
8. #13068799C2semidirect
9. #13068682C2semidirect
10. #13068487C2semidirect
11. #13068477C2semidirect
12. #13068402C2semidirect
13. #13068402C2semidirect
14. #13068402C2semidirect
197. Dic11⋊C4M16semidirect
312. C11⋊C8#123semidirect
564. C11#21565semidirect

Maximal subgroups

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

subgroupindex
C2×#106226252
C2×M16×Dic112
C4×#669882
#130692322
#130692252
#130691832
#130691762
#130687992
#130686822
#130684872
#130684772
#130684022
C11×#18702
#2156511