Finite Group Databasebeta

← #14776293

Subgroups — #14776293

Order 2816.

880 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078069C211yesmaximal, characteristic
2C2×#10622507C211yesmaximal, characteristic, complemented
3C2×#10622758C211yesmaximal, characteristic, complemented
4#13077358C211yesmaximal, characteristic, complemented
5#13077183C211yesmaximal, characteristic, complemented
6#13069442C211yesmaximal, characteristic, complemented
7#13069388C211yesmaximal, characteristic, complemented
8#13069329C211yesmaximal, characteristic, complemented
9#13069326C211yesmaximal, characteristic, complemented
10#13068942C211yesmaximal, characteristic, complemented
11#13068940C211yesmaximal, characteristic, complemented
12#13068892C211yesmaximal, characteristic, complemented
13#13068468C211yesmaximal, characteristic, complemented
14#13068420C211yesmaximal, characteristic, complemented
15C11×#1866C211yesmaximal, characteristic, complemented
16C2×C11×#131C2211yescharacteristic
17#10623363C2211yescharacteristic
18C2×#67003C2211yescharacteristic
19C2×#66960C2211yescharacteristic
20C2×#66960C2211yescharacteristic
21C2×#66957C2211yescharacteristic
22C2×#66954C2211yescharacteristic
23#10623053C2211yescharacteristic
24C2×C11×#108C2211yescharacteristic
25C11×#424C2211yescharacteristic
26C2×C11×#104C2211yescharacteristic
27C11×#416C2211yescharacteristic
28C2×#66901C2211yescharacteristic
29#10622847C2211yescharacteristic
30#10622758—24no—
31C2×#66889C2211yescharacteristic
32C2×#66889C2211yescharacteristic
33#10622741—21no—
34#10622740—21no—
35C2×#66886C2211yescharacteristic
36#10622731C2211yescharacteristic
37M16×Dic11C2211yescharacteristic
38#10622724—21no—
39#10622723C2211yescharacteristic
40C8×C22⋊D11—21no—
41C2×#66879C2211yescharacteristic
42C2×#66879C2211yescharacteristic
43C2×Dic11⋊C8C2211yescharacteristic
44C2×Dic11⋊C8C2211yescharacteristic
45#10622615C2211yescharacteristic
46#10622612C2211yescharacteristic
47C42×Dic11C2211yescharacteristic
48C2×#66869C2211yescharacteristic
49C2×#66869C2211yescharacteristic
50#10622507—24no—
51#10622452—21no—
52#10622452—21no—
53#10622450—21no—
54D11×C4⋊C8—21no—
55#10622432C411yescharacteristic, complemented
56#10622431C411yescharacteristic, complemented
57#10622411C411yescharacteristic, complemented
58#10622406C411yescharacteristic, complemented
59#10622400C411yescharacteristic, complemented
60#10622399C411yescharacteristic, complemented
61#10622380C411yescharacteristic, complemented
62#10622375C411yescharacteristic, complemented
63C11×#339C2211yescharacteristic
64C11×#336C2211yescharacteristic
65#10622196C2211yescharacteristic
66#10622190C2211yescharacteristic
67#10622170C2211yescharacteristic
68#10622162C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×#4339C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#131—22no—
73C11×#131—41no—
74C2×C11×M16—21no—
75C2×C11×M16C2311yescharacteristic
76C2×C11×M16C2311yescharacteristic
77C22×C8×C11—21no—
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C11×#117C2311yescharacteristic
81C2×C42×C11C2311yescharacteristic
82#67003—22no—
83#67003—22no—
84#67000C2×C411yescharacteristic
85#66997C2×C411yescharacteristic
86C2×#4326C2×C411yescharacteristic
87C2×#4325C2×C411yescharacteristic
88#66993C2×C411yescharacteristic
89#66992—21no—
90#66992—21no—
91#66989C2×C411yescharacteristic
92C2×#4324C2×C411yescharacteristic
93C2×#4323C2×C411yescharacteristic
94C4×C22⋊D11—21no—
95C4×C22⋊D11—21no—
96C2×C4×Dic11—21no—
97C2×C4×Dic11—21no—
98C2×C4×Dic11C2311yescharacteristic
99C2×C4×Dic11C2311yescharacteristic
100C2×#4318C2311yescharacteristic
101C2×#4318C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104#66960—22no—
105#66960—22no—
106#66960—41no—
107#66960—41no—
108C2×Dic44C2×C411yescharacteristic
109#66957—22no—
110#66957—22no—
111C2×D88C2×C411yescharacteristic
112C2×#4314C2×C411yescharacteristic
113C2×#4314C2×C411yescharacteristic
114#66954—22no—
115#66954—41no—
116C2×#4313—21no—
117C2×#4313—21no—
118C2×#4313—21no—
119C2×C8×D11—21no—
120C2×C8×D11—21no—
121C2×C8×D11—21no—
122#66946C2×C411yescharacteristic
123#66946C2×C411yescharacteristic
124#66940C2×C411yescharacteristic
125#66940C2×C411yescharacteristic
126(C22⋊D11)⋊C4—21no—
127(C22⋊D11)⋊C4—21no—
128#66925—21no—
129C42×D11—21no—
130C11×#108—22no—
131C11×C4⋊C8—21no—
132C11×C4⋊C8—21no—
133C11×#104—41no—
134C11×#103C2×C411yescharacteristic
135C11×#103C2×C411yescharacteristic
136C11×#102C2×C411yescharacteristic
137C11×#102C2×C411yescharacteristic
138#66901—22no—
139C22⋊(C11⋊C8)—21no—
140C22⋊(C11⋊C8)—21no—
141#66889—22no—
142#66889D414yescomplemented
143#66886—22no—
144(C2×D11)⋊C8—21no—
145(C2×D11)⋊C8—21no—
146#66879—21no—
147#66879—22no—
148#66879—22no—
149Dic11⋊C8—21no—
150Dic11⋊C8—21no—
151Dic11⋊C8C2×C411yescharacteristic
152Dic11⋊C8C2×C411yescharacteristic
153Dic11⋊C8C2×C411yescharacteristic
154Dic11⋊C8C2×C411yescharacteristic
155Dic11⋊C8D411yescharacteristic
156Dic11⋊C8D411yescharacteristic
157Dic11⋊C8D411yescharacteristic
158Dic11⋊C8D411yescharacteristic
159C8×Dic11—21no—
160#66874C2×C411yescharacteristic
161#66874C2×C411yescharacteristic
162#66873C2×C411yescharacteristic
163#66873C2×C411yescharacteristic
164#66869—22no—
165#66869—41no—
166C4⋊(C11⋊C8)—21no—
167C4⋊(C11⋊C8)—21no—
168#23016—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—21no—
172C11×#41—21no—
173C2×Q8×C11C22×C411yescharacteristic
174C2×D4×C11—21no—
175C2×D4×C11C22×C411yescharacteristic
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11C2411yescharacteristic
179C2×C22⋊D11—21no—
180C2×C22⋊D11—21no—
181C2×C22⋊D11—21no—
182C2×C22⋊D11—21no—
183C22×Dic11—21no—
184C22×Dic11#4111yescharacteristic
185C22×Dic11#4111yescharacteristic
186#4339—21no—
187#4339—21no—
188#4339—21no—
189#4339—21no—
190#4339—21no—
191#4339—21no—
192#4339C2×D412yes—
193#4339#4112yes—
194C2×D44C22×C411yescharacteristic
195C2×D44C22×C411yescharacteristic
196C2×C4×D11—21no—
197C2×C4×D11—21no—
198C2×C4×D11—21no—
199C2×C4×D11—21no—
200C2×Dic22C22×C411yescharacteristic
201C2×Dic22C22×C411yescharacteristic
202C11×M16—21no—
203C11×M16—21no—
204C11×M16—21no—
205C11×M16—42no—
206C11×M16C2×D412yes—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—42no—
214C2×C8×C11C22×C411yescharacteristic
215C2×C8×C11C22×C411yescharacteristic
216C2×C8×C11C2×D411yescharacteristic
217C2×C8×C11C2×D411yescharacteristic
218C11×C4⋊C4C22×C411yescharacteristic
219C11×C4⋊C4C22×C411yescharacteristic
220C11×C22⋊C4—21no—
221C42×C11—21no—
222C42×C11—21no—
223C42×C11—21no—
224C22⋊Dic11—21no—
225C22⋊Dic11—21no—
226#4326—22no—
227#4325—22no—
228#4324—22no—
229#4323—22no—
230(C2×D11)⋊C4—21no—
231(C2×D11)⋊C4—21no—
232(C2×D11)⋊C4—21no—
233(C2×D11)⋊C4—21no—
234Dic11⋊C4—21no—
235Dic11⋊C4—21no—
236Dic11⋊C4—21no—
237Dic11⋊C4—21no—
238C4×Dic11—21no—
239C4×Dic11—21no—
240C4×Dic11—21no—
241C4×Dic11—42no—
242C4×Dic11—42no—
243C4×Dic11C22×C411yescharacteristic
244C4×Dic11C22×C411yescharacteristic
245C4×Dic11C2×D412yes—
246C4×Dic11C2×D411yescharacteristic
247C4×Dic11C2×D411yescharacteristic
248#4318—21no—
249#4318—21no—
250#4318—21no—
251#4318—21no—
252C2×C11⋊C8—21no—
253C2×C11⋊C8—21no—
254C2×C11⋊C8—21no—
255C2×C11⋊C8—21no—
256C2×C11⋊C8—21no—
257C2×C11⋊C8—21no—
258C2×C11⋊C8C22×C411yescharacteristic
259C2×C11⋊C8C22×C411yescharacteristic
260C2×C11⋊C8C2×D411yescharacteristic
261C2×C11⋊C8C2×D411yescharacteristic
262Dic44—22no—
263D88—22no—
264#4314—22no—
265#4314—22no—
266#4313—42no—
267#4313—42no—
268#4313—42no—
269C8×D11—42no—
270C8×D11—42no—
271C8×D11—42no—
272#3035—111no—
273C2×#444—111no—
274C2×#444—111no—
275#2935—111no—
276#2906—111no—
277#1962—111no—
278#1950—111no—
279#1938—111no—
280#1938—111no—
281#1876—111no—
282#1876—111no—
283#1866—111no—
284#1866D1111yescharacteristic, complemented
285#1767—111no—
286C4×#104—111no—
287C23×C11—21no—
288C23×C11C2×#4111yescharacteristic
289C22×D11—21no—
290C22×D11—21no—
291Q8×C11—21no—
292Q8×C11—21no—
293D4×C11—21no—
294D4×C11—21no—
295D4×C11—41no—
296D4×C11—41no—
297C2×C4×C11—22no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
300C2×C4×C11—21no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11C23×C411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11H(5,𝔽2)11yescharacteristic
310C2×C4×C112−1+411yescharacteristic
311C22⋊D11—22no—
312C22⋊D11—22no—
313C22⋊D11—41no—
314C22⋊D11—41no—
315C22⋊D11—42no—
316C22⋊D11—81no—
317C2×Dic11—21no—
318C2×Dic11—22no—
319C2×Dic11—21no—
320C2×Dic11—22no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11C4×D411yescharacteristic
325C2×Dic11C4×D411yescharacteristic
326C2×Dic11C4×D411yescharacteristic
327C2×Dic11C4×D411yescharacteristic
328D44—21no—
329D44—21no—
330D44—21no—
331D44C4×D412yes—
332C4×D11—22no—
333C4×D11—22no—
334C4×D11—41no—
335C4×D11—41no—
336C4×D11—42no—
337C4×D11—81no—
338Dic22—21no—
339Dic22—21no—
340Dic22—21no—
341Dic22C4×D412yes—
342C8×C11—21no—
343C8×C11—21no—
344C8×C11—21no—
345C8×C11—22no—
346C8×C11—21no—
347C8×C11—41no—
348C11⋊C8—21no—
349C11⋊C8—21no—
350C11⋊C8—21no—
351C11⋊C8—21no—
352C11⋊C8—41no—
353C11⋊C8—41no—
354C2×#135—111no—
355C2×#135—111no—
356C2×#131—111no—
357C2×#131—111no—
358C2×#131—111no—
359C2×#131C2×D1111yescharacteristic
360#532—111no—
361C4×#41—111no—
362#464—111no—
363#464—111no—
364#463—111no—
365#463—111no—
366#462—111no—
367#461—111no—
368#460—111no—
369#459—111no—
370#444—224no—
371#444—224no—
372#436—221no—
373#435—221no—
374#435—221no—
375C8×D4—221no—
376C2×#108—111no—
377C2×#108C2×D1111yescharacteristic
378#424—111no—
379#424—221no—
380#424—221no—
381#424C2×D1111yescharacteristic
382#423—111no—
383#423—221no—
384C2×C4⋊C8—111no—
385C2×C4⋊C8—111no—
386C2×C4⋊C8—221no—
387C2×#104—111no—
388C2×#104—111no—
389C2×#104—111no—
390C2×#104—111no—
391C2×#104—111no—
392C2×#104C2×D1111yescharacteristic
393#416—111no—
394#416C2×D1111yescharacteristic
395#408—111no—
396#408—111no—
397C4×M16—111no—
398C2×#97—111no—
399C2×#97—111no—
400C43—111no—
401#341—111no—
402#341—111no—
403#339—111no—
404#339C2×D1111yescharacteristic
405#336—111no—
406#336C2×D1111yescharacteristic
407C22×C11—21no—
408C22×C11—21no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11C2×C4×D411yescharacteristic
413C22×C11#54711yescharacteristic
414C22×C11#55311yescharacteristic
415C2×D11—22no—
416C2×D11—41no—
417C2×D11—41no—
418C2×D11—41no—
419C2×D11—41no—
420C2×D11—41no—
421C4×C11—42no—
422C4×C11—41no—
423C4×C11—41no—
424C4×C11—41no—
425C4×C11C2×C4×D411yescharacteristic
426C4×C11#52011yescharacteristic
427C4×C11D4211yescharacteristic
428C4×C11#54811yescharacteristic
429Dic11—22no—
430Dic11—21no—
431Dic11—21no—
432Dic11—21no—
433Dic11—42no—
434Dic11—41no—
435Dic11#44412yescomplemented
436C2×#41—111no—
437C2×#41—111no—
438C2×#41C22×D1111yescharacteristic
439#135—222no—
440#135—222no—
441#135—222no—
442#135—222no—
443C2×Q16—111no—
444C2×Q16—111no—
445C2×SD16—111no—
446C2×SD16—111no—
447C2×SD16—111no—
448C2×SD16—111no—
449C2×D8—111no—
450C2×D8—111no—
451#131—22no—
452#131—41no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—441no—
457#131—441no—
458#131—441no—
459C2×M16—21no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16—221no—
465C2×M16C22×D1111yescharacteristic
466C2×M16C22×D1111yescharacteristic
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8—221no—
473C22×C8C22×D1111yescharacteristic
474C22×C8C22×D1111yescharacteristic
475C4⋊Q8—111no—
476#127—111no—
477#124—111no—
478#124—111no—
479#121—221no—
480#121—221no—
481C4×Q8—111no—
482C4×Q8—111no—
483C4×D4—111no—
484C4×D4—111no—
485C4×D4—221no—
486C4×D4—221no—
487C4×D4—221no—
488C4×D4—221no—
489#117—221no—
490#117C22×D1111yescharacteristic
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—221no—
494C2×C42—221no—
495C2×C42—221no—
496C2×C42C22×D1111yescharacteristic
497#108—22no—
498#108—222no—
499C4⋊C8—21no—
500C4⋊C8—21no—
501C4⋊C8—111no—
502C4⋊C8—111no—
503C4⋊C8—111no—
504C4⋊C8—111no—
505C4⋊C8—111no—
506C4⋊C8—111no—
507C4⋊C8—111no—
508C4⋊C8—111no—
509C4⋊C8—221no—
510C4⋊C8—221no—
511C4⋊C8—221no—
512C4⋊C8—221no—
513#104—41no—
514#104—114no—
515#104—222no—
516#104—222no—
517#104—222no—
518#104—441no—
519#103—111no—
520#103—111no—
521#103C4×D1111yescharacteristic
522#103C4×D1111yescharacteristic
523#102—111no—
524#102—111no—
525#102C4×D1111yescharacteristic
526#102C4×D1111yescharacteristic
527C22⋊C8—221no—
528C22⋊C8—221no—
529C22⋊C8—221no—
530C22⋊C8—221no—
531#97—222no—
532#97—222no—
533#97—221no—
534C4×C8—221no—
535C2×C11—21no—
536C2×C11—21no—
537C2×C11—81no—
538C2×C11#236111yescharacteristic
539C2×C11C2×#44411yescharacteristic
540C2×C11#295611yescharacteristic
541D11—42no—
542D11—81no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—112no—
548#41—112no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41—221no—
553#41—221no—
554#41—221no—
555C2×Q8—111no—
556C2×Q8—111no—
557C2×Q8C2×C4×D1111yescharacteristic
558C2×D4—21no—
559C2×D4—111no—
560C2×D4—111no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4—221no—
564C2×D4—221no—
565C2×D4C2×C4×D1111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—111no—
569C22×C4—111no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4C23×D1111yescharacteristic
576Q16—222no—
577Q16—222no—
578SD16—222no—
579SD16—222no—
580SD16—222no—
581SD16—222no—
582D8—222no—
583D8—222no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—42no—
588M16—221no—
589M16—221no—
590M16—221no—
591M16—221no—
592M16—442no—
593M16—442no—
594M16—442no—
595M16D4×D1112yes—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—42no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—111no—
606C2×C8—111no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—221no—
613C2×C8—442no—
614C2×C8—442no—
615C2×C8—442no—
616C2×C8C2×C4×D1111yescharacteristic
617C2×C8C2×C4×D1111yescharacteristic
618C2×C8D4×D1111yescharacteristic
619C2×C8D4×D1111yescharacteristic
620C4⋊C4—221no—
621C4⋊C4—221no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4C2×C4×D1111yescharacteristic
625C4⋊C4C2×C4×D1111yescharacteristic
626C22⋊C4—21no—
627C22⋊C4—221no—
628C22⋊C4—221no—
629C22⋊C4—221no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42—111no—
637C42—111no—
638C42—111no—
639C42—111no—
640C42—112no—
641C42—221no—
642C42—221no—
643C42—221no—
644C42—442no—
645C42—442no—
646C11#2301611yescharacteristic, complemented, Sylow
647C23—21no—
648C23—221no—
649C23—221no—
650C23#41×D1111yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—112no—
654Q8—221no—
655Q8—221no—
656Q8—221no—
657D4—21no—
658D4—21no—
659D4—41no—
660D4—41no—
661D4—112no—
662D4—222no—
663D4—222no—
664D4—221no—
665D4—221no—
666D4—221no—
667D4—442no—
668D4—441no—
669D4—441no—
670D4—881no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—111no—
680C2×C4—111no—
681C2×C4—111no—
682C2×C4—111no—
683C2×C4—222no—
684C2×C4—221no—
685C2×C4—222no—
686C2×C4—222no—
687C2×C4—221no—
688C2×C4—222no—
689C2×C4—442no—
690C2×C4—441no—
691C2×C4—441no—
692C2×C4—441no—
693C2×C4—441no—
694C2×C4—441no—
695C2×C4—881no—
696C2×C4C22×C4×D1111yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C2×D4×D1111yescharacteristic
699C2×C4#6703711yescharacteristic
700C2×C4#6704011yescharacteristic
701C2×C4#41×D1111yescharacteristic
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—22no—
707C8—41no—
708C8—221no—
709C8—221no—
710C8—221no—
711C8—221no—
712C8—441no—
713C8—441no—
714C22—21no—
715C22—21no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—222no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22—441no—
724C22—441no—
725C22C4×D4×D1111yescharacteristic
726C22#1062316211yescharacteristic
727C22#1062319211yescharacteristic
728C4—42no—
729C4—41no—
730C4—41no—
731C4—41no—
732C4—112no—
733C4—221no—
734C4—221no—
735C4—221no—
736C4—222no—
737C4—442no—
738C4—441no—
739C4#1062303511yescharacteristic
740C4C4×D4×D1111yescharacteristic
741C4#1062312111yescharacteristic
742C4#1062316411yescharacteristic
743C2—21no—
744C2—21no—
745C2—81no—
746C2—442no—
747C2—881no—
748C2#1307163511yescharacteristic
749C2D11×#44411yescharacteristic
750C2#1307752111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1866C2
socleC22×C11C2×C4×D4
prime radical#13078069C2
cosocleC22×C4×C11C24
hypercenter#1866D11
hypocenterC11#23016
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1866

Complements

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

NH ≅ G/Ntype
2. C2×#10622507C2semidirect
3. C2×#10622758C2semidirect
4. #13077358C2semidirect
5. #13077183C2semidirect
6. #13069442C2semidirect
7. #13069388C2semidirect
8. #13069329C2semidirect
9. #13069326C2semidirect
10. #13068942C2semidirect
11. #13068940C2semidirect
12. #13068892C2semidirect
13. #13068468C2semidirect
14. #13068420C2semidirect
15. C11×#1866C2semidirect
55. #10622432C4semidirect
56. #10622431C4semidirect
57. #10622411C4semidirect
58. #10622406C4semidirect
59. #10622400C4semidirect
60. #10622399C4semidirect
61. #10622380C4semidirect
62. #10622375C4semidirect
142. #66889D4semidirect
284. #1866D11semidirect
435. Dic11#444semidirect
646. C11#23016semidirect

Maximal subgroups

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

subgroupindex
#130780692
C2×#106225072
C2×#106227582
#130773582
#130771832
#130694422
#130693882
#130693292
#130693262
#130689422
#130689402
#130688922
#130684682
#130684202
C11×#18662
#2301611