Finite Group Databasebeta

← #14814352

Subgroups — #14814352

Order 2816.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13072057C211yesmaximal, characteristic
2C4⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
3#13070176C211yesmaximal, characteristic, complemented
4#13070041C211yesmaximal, characteristic, complemented
5#13070022C211yesmaximal, characteristic, complemented
6#13069797C211yesmaximal, characteristic, complemented
7#13069238C211yesmaximal, characteristic, complemented
8#13069186C211yesmaximal, characteristic, complemented
9#13069045C211yesmaximal, characteristic, complemented
10#13068930C211yesmaximal, characteristic, complemented
11#13068906C211yesmaximal, characteristic, complemented
12#13068806C211yesmaximal, characteristic, complemented
13#13068701C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#1874C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C2×#66992—21no—
19C2×#66991C2211yescharacteristic
20C2×C4×C22⋊D11—21no—
21C2×C4×C22⋊D11C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28#10622834C2211yescharacteristic
29#10622833—21no—
30C2×#66896C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32#10622825C2211yescharacteristic
33#10622823—21no—
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66882C2211yescharacteristic
37C2×#66882C2211yescharacteristic
38#10622602—21no—
39#10622600C2211yescharacteristic
40#10622600C2211yescharacteristic
41#10622589C2211yescharacteristic
42C4⋊C4×Dic11C2211yescharacteristic
43#10622586C2211yescharacteristic
44#10622585—21no—
45#10622574—21no—
46#10622561—21no—
47C11×#340C2211yescharacteristic
48C11×#340C2211yescharacteristic
49#10622189C2211yescharacteristic
50#10622189C2211yescharacteristic
51#10622188C2211yescharacteristic
52#10622188C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×C22⋊D11D411yescharacteristic
65C23×Dic11—21no—
66C22×C4×D11—21no—
67C22×C4×D11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C11×#121—22no—
71C11×#121—22no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—41no—
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C22⋊C4—21no—
79C2×C22⋊Dic11—21no—
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83C2×C22⋊Dic11D411yescharacteristic
84#66992—44no—
85#66991—22no—
86#66991—41no—
87C4×C22⋊D11—22no—
88C4×C22⋊D11—22no—
89C4×C22⋊D11—44no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11—41no—
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4D411yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11C2311yescharacteristic
107C22×C11⋊C8—22no—
108C22×C11⋊C8—41no—
109C22×C11⋊C8—41no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C4⋊C4×D11—22no—
113C4⋊C4×D11—41no—
114C11×#102—22no—
115C11×#102—41no—
116C11×C22⋊C8—22no—
117#66896—41no—
118#66896—41no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124(C2×D11)⋊C8—41no—
125(C2×D11)⋊C8—41no—
126#66882—22no—
127#66882—41no—
128#26198—111nomaximal, Sylow
129C24×C11—21no—
130C24×C11C2×D411yescharacteristic
131C23×D11C2×D411yescharacteristic
132C2×D4×C11—21no—
133C2×D4×C11—21no—
134C2×D4×C11—21no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—42no—
139C2×D4×C11—42no—
140C2×D4×C11—42no—
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—42no—
149C22×C4×C11—42no—
150C22×C4×C11—81no—
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11#4112yes—
153C22×C4×C11#4112yes—
154C22×C4×C11C2411yescharacteristic
155C2×C22⋊D11—22no—
156C2×C22⋊D11—22no—
157C2×C22⋊D11—42no—
158C2×C22⋊D11—42no—
159C2×C22⋊D11—81no—
160C2×C22⋊D11D814yes—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—42no—
166C22×Dic11—42no—
167C22×Dic11—81no—
168C22×Dic11C2×D411yescharacteristic
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171C2×C4×D11—21no—
172C2×C4×D11—21no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—81no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4#4112yes—
193C11×C22⋊C4—42no—
194C22⋊Dic11—22no—
195C22⋊Dic11—42no—
196C22⋊Dic11—42no—
197C22⋊Dic11—42no—
198C22⋊Dic11—81no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—42no—
210C4⋊Dic11#4112yes—
211Dic11⋊C4—22no—
212Dic11⋊C4—42no—
213Dic11⋊C4—42no—
214Dic11⋊C4—42no—
215Dic11⋊C4—81no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—42no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—44no—
226#2416—111no—
227D4×C4⋊C4—111no—
228#2099—111no—
229#2075—111no—
230#2071—111no—
231#2033—111no—
232#1925—111no—
233#1918—111no—
234#1893—111no—
235#1874—111no—
236#1874D1111yescharacteristic, complemented
237#1869—111no—
238#1852—111no—
239#1823—111no—
240C2×#340—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11#12312yes—
253C23×C11C2×D812yes—
254C23×C11#13712yes—
255C23×C11C22×D411yescharacteristic
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11C2×D812yes—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—84no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—84no—
284C2×C4×C11#12312yes—
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11C2×#4111yescharacteristic
289C2×C4×C11H(5,𝔽2)11yescharacteristic
290C2×C4×C11H(5,𝔽2)11yescharacteristic
291C22⋊D11—28no—
292C22⋊D11—84no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—22no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—84no—
314C2×Dic11C2×D812yes—
315C4×D11—41no—
316C4×D11—41no—
317C4×D11—41no—
318C4×D11—41no—
319C4×D11—84no—
320C8×C11—41no—
321C8×C11—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C23×C8—111no—
325C2×#121—111no—
326C2×#121—221no—
327C2×#121C2×D1111yescharacteristic
328C2×C4×D4—111no—
329C2×C4×D4—221no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4C2×D1111yescharacteristic
333C2×#107—111no—
334C2×#107—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102C2×D1111yescharacteristic
338C2×#102C2×D1111yescharacteristic
339C2×C22⋊C8—111no—
340C2×C22⋊C8—111no—
341C2×C22⋊C8C2×D1111yescharacteristic
342#396—221no—
343#394—221no—
344#390—111no—
345#389—111no—
346#389—221no—
347#386—221no—
348#385—221no—
349#385—221no—
350#384—111no—
351#380—111no—
352#380—111no—
353#380—111no—
354C4×C4⋊C4—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340C2×D1111yescharacteristic
364#340C2×D1111yescharacteristic
365#336—111no—
366#336—111no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11#48014yes—
381C22×C11C2×#12311yescharacteristic
382C22×C11#54611yescharacteristic
383C22×C11#54611yescharacteristic
384C22×C11C22×D811yescharacteristic
385C22×C11C2×#13711yescharacteristic
386C22×C11#57711yescharacteristic
387C22×C11#57711yescharacteristic
388C2×D11—22no—
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—41no—
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C4×C11—22no—
396C4×C11—42no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11#52911yescharacteristic
400C4×C11#53811yescharacteristic
401C4×C11#55311yescharacteristic
402C4×C11#55311yescharacteristic
403Dic11—22no—
404Dic11—41no—
405Dic11—41no—
406Dic11—42no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C22×D4—21no—
411C22×D4—111no—
412C22×D4—221no—
413C22×D4C22×D1111yescharacteristic
414C23×C4—21no—
415C23×C4—111no—
416C23×C4—221no—
417C23×C4—221no—
418C23×C4C22×D1111yescharacteristic
419C22×C8—111no—
420C22×C8—111no—
421C22×C8—222no—
422C22×C8—441no—
423C22×C8—441no—
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426#121—22no—
427#121—22no—
428#121—222no—
429#121—441no—
430#121—444no—
431C4×D4—222no—
432C4×D4—222no—
433C4×D4—444no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—41no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—222no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—441no—
450C2×C4⋊C4—441no—
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—111no—
456C2×C22⋊C4—111no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C42—111no—
464C2×C42—221no—
465#107—222no—
466#107—441no—
467#102—22no—
468#102—41no—
469#102—441no—
470#102—441no—
471C22⋊C8—22no—
472C22⋊C8—441no—
473C22⋊C8—441no—
474#95—221no—
475#95—221no—
476#95—221no—
477#95—221no—
478#95—221no—
479C2×C11—24no—
480C2×C11—161no—
481C2×C11#244411yescharacteristic
482C2×C11C2×#48011yescharacteristic
483C2×C11#309911yescharacteristic
484C2×C11#329411yescharacteristic
485C2×C11#329411yescharacteristic
486C2×C11#331611yescharacteristic
487C2×C11#332011yescharacteristic
488D11—42no—
489C24—21no—
490C24—111no—
491C24D4×D1111yescharacteristic
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—114no—
502C2×D4—222no—
503C2×D4—222no—
504C2×D4—442no—
505C2×D4—442no—
506C2×D4—881no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—111no—
518C22×C4—111no—
519C22×C4—111no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—881no—
535C22×C4—881no—
536C22×C4#433912yes—
537C22×C4D4×D1111yescharacteristic
538C22×C4#434112yes—
539C22×C4C23×D1111yescharacteristic
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—444no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—112no—
560C4⋊C4—222no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—442no—
569C4⋊C4—442no—
570C4⋊C4—442no—
571C4⋊C4—442no—
572C4⋊C4—881no—
573C4⋊C4#434112yes—
574C22⋊C4—42no—
575C22⋊C4—222no—
576C22⋊C4—222no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—442no—
580C22⋊C4—442no—
581C22⋊C4—442no—
582C22⋊C4—881no—
583C42—221no—
584C42—221no—
585C42—442no—
586C11#2619811yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—112no—
599C23—221no—
600C23—221no—
601C23—221no—
602C23—221no—
603C23—221no—
604C23—221no—
605C23#6693612yes—
606C23D8×D1112yes—
607C23#6696812yes—
608C23C2×D4×D1111yescharacteristic
609D4—41no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—84no—
614D4—228no—
615D4—884no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—112no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—221no—
638C2×C4—221no—
639C2×C4—221no—
640C2×C4—221no—
641C2×C4—222no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—884no—
658C2×C4—884no—
659C2×C4#6693612yes—
660C2×C4C2×#433911yescharacteristic
661C2×C4C2×#434111yescharacteristic
662C2×C4C2×#434111yescharacteristic
663C2×C4#6703711yescharacteristic
664C2×C4#41×D1111yescharacteristic
665C2×C4#6704211yescharacteristic
666C8—41no—
667C8—41no—
668C8—441no—
669C8—441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—222no—
684C22—222no—
685C22—222no—
686C22—441no—
687C22—441no—
688C22—441no—
689C22—441no—
690C22#1062238714yes—
691C22C2×#6693611yescharacteristic
692C22#1062312211yescharacteristic
693C22#1062318511yescharacteristic
694C22C2×D8×D1111yescharacteristic
695C22C2×#6696811yescharacteristic
696C22#1062330611yescharacteristic
697C22#1062330911yescharacteristic
698C4—22no—
699C4—42no—
700C4—81no—
701C4—81no—
702C4—222no—
703C4—441no—
704C4—442no—
705C4—441no—
706C4—881no—
707C4—881no—
708C4—881no—
709C4#1062306911yescharacteristic
710C4#1062309111yescharacteristic
711C4#1062313211yescharacteristic
712C4#1062314911yescharacteristic
713C2—24no—
714C2—161no—
715C2—442no—
716C2#1307236811yescharacteristic
717C2C2×#1062238711yescharacteristic
718C2#1307860411yescharacteristic
719C2#1308042211yescharacteristic
720C2#1308042711yescharacteristic
721C2#1308072511yescharacteristic
722C2#1308079111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1874C2
socleC23×C11C22×D4
prime radical#13072057C2
hypercenter#1874D11
hypocenterC11#26198
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C4⋊C4×C22⋊D11C2semidirect
3. #13070176C2semidirect
4. #13070041C2semidirect
5. #13070022C2semidirect
6. #13069797C2semidirect
7. #13069238C2semidirect
8. #13069186C2semidirect
9. #13069045C2semidirect
10. #13068930C2semidirect
11. #13068906C2semidirect
12. #13068806C2semidirect
13. #13068701C2semidirect
14. C2×#10622167C2semidirect
15. C11×#1874C2semidirect
236. #1874D11semidirect
586. C11#26198semidirect

Maximal subgroups

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

subgroupindex
#130720572
C4⋊C4×C22⋊D112
#130701762
#130700412
#130700222
#130697972
#130692382
#130691862
#130690452
#130689302
#130689062
#130688062
#130687012
C2×#106221672
C11×#18742
#2619811