Finite Group Databasebeta

← #14760237

Subgroups — #14760237

Order 2816.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078069C211yesmaximal, characteristic
2C2×#10622330C211yesmaximal, characteristic, complemented
3C2×#10622757C211yesmaximal, characteristic, complemented
4#13077332C211yesmaximal, characteristic, complemented
5#13077043C211yesmaximal, characteristic, complemented
6#13069533C211yesmaximal, characteristic, complemented
7#13069390C211yesmaximal, characteristic, complemented
8#13069266C211yesmaximal, characteristic, complemented
9#13069262C211yesmaximal, characteristic, complemented
10#13068944C211yesmaximal, characteristic, complemented
11#13068940C211yesmaximal, characteristic, complemented
12#13068635C211yesmaximal, characteristic, complemented
13#13068492C211yesmaximal, characteristic, complemented
14#13068455C211yesmaximal, characteristic, complemented
15C11×#1765C211yesmaximal, characteristic, complemented
16C2×C11×#131C2211yescharacteristic
17#10623363C2211yescharacteristic
18C2×#67003C2211yescharacteristic
19C2×#66960C2211yescharacteristic
20C2×#66957C2211yescharacteristic
21C2×#66954C2211yescharacteristic
22C2×#66954C2211yescharacteristic
23#10623053C2211yescharacteristic
24C2×C11×#104C2211yescharacteristic
25C11×#416C2211yescharacteristic
26C11×#405C2211yescharacteristic
27C2×C11×#97C2211yescharacteristic
28C2×#66901C2211yescharacteristic
29#10622847C2211yescharacteristic
30#10622757—24no—
31C2×#66889C2211yescharacteristic
32C2×#66889C2211yescharacteristic
33#10622742C2211yescharacteristic
34#10622740—21no—
35#10622740—21no—
36C2×#66886C2211yescharacteristic
37#10622731C2211yescharacteristic
38M16×Dic11C2211yescharacteristic
39#10622724—21no—
40#10622724—21no—
41C2×#66883C2211yescharacteristic
42C2×#66879C2211yescharacteristic
43C2×Dic11⋊C8C2211yescharacteristic
44C2×C8×Dic11C2211yescharacteristic
45#10622615C2211yescharacteristic
46#10622610C2211yescharacteristic
47C4×Dic11⋊C4C2211yescharacteristic
48C2×#66869C2211yescharacteristic
49C2×#66869C2211yescharacteristic
50#10622432C411yescharacteristic, complemented
51#10622431C411yescharacteristic, complemented
52#10622411C411yescharacteristic, complemented
53#10622406C411yescharacteristic, complemented
54#10622400C411yescharacteristic, complemented
55#10622399C411yescharacteristic, complemented
56#10622380C411yescharacteristic, complemented
57#10622375C411yescharacteristic, complemented
58#10622330—24no—
59#10622321—21no—
60D11×#97—21no—
61#10622302—21no—
62C4×#4313—21no—
63C11×#341C2211yescharacteristic
64C11×#339C2211yescharacteristic
65#10622196C2211yescharacteristic
66#10622188C2211yescharacteristic
67#10622170C2211yescharacteristic
68#10622162C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×#4339C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#131—22no—
73C11×#131—22no—
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×Dic11⋊C4—21no—
97C2×C4×Dic11C2311yescharacteristic
98C2×C4×Dic11C2311yescharacteristic
99C2×#4318C2311yescharacteristic
100C2×#4318C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103#66960—22no—
104#66960—22no—
105C2×Dic44C2×C411yescharacteristic
106#66957—22no—
107#66957—22no—
108C2×D88C2×C411yescharacteristic
109C2×#4314C2×C411yescharacteristic
110C2×#4314C2×C411yescharacteristic
111#66954—22no—
112#66954—22no—
113#66954—22no—
114#66954D414yescomplemented
115C2×#4313—21no—
116C2×#4313—21no—
117C2×#4313—21no—
118C2×C8×D11—21no—
119C2×C8×D11—21no—
120C2×C8×D11—21no—
121#66946C2×C411yescharacteristic
122#66946C2×C411yescharacteristic
123#66940C2×C411yescharacteristic
124#66940C2×C411yescharacteristic
125(C22⋊D11)⋊C4—21no—
126(C22⋊D11)⋊C4—21no—
127#66925—21no—
128C42×D11—21no—
129C11×#104—22no—
130C11×#103C2×C411yescharacteristic
131C11×#103C2×C411yescharacteristic
132C11×#102C2×C411yescharacteristic
133C11×#102C2×C411yescharacteristic
134C11×#97—21no—
135C11×#97—22no—
136C4×C8×C11—21no—
137#66901—22no—
138C11⋊#95—21no—
139C22⋊(C11⋊C8)—21no—
140C22⋊(C11⋊C8)—21no—
141#66889—22no—
142#66889—22no—
143#66886—22no—
144(C2×D11)⋊C8—21no—
145(C2×D11)⋊C8—21no—
146#66883—22no—
147#66879—21no—
148#66879D411yescharacteristic
149#66879D411yescharacteristic
150#66879D411yescharacteristic
151#66879D411yescharacteristic
152Dic11⋊C8—21no—
153Dic11⋊C8—21no—
154Dic11⋊C8C2×C411yescharacteristic
155Dic11⋊C8C2×C411yescharacteristic
156Dic11⋊C8C2×C411yescharacteristic
157Dic11⋊C8C2×C411yescharacteristic
158C8×Dic11—22no—
159C8×Dic11—21no—
160#66874C2×C411yescharacteristic
161#66874C2×C411yescharacteristic
162#66873C2×C411yescharacteristic
163#66873C2×C411yescharacteristic
164#66869—22no—
165#66869—22no—
166#66867—21no—
167C4×C11⋊C8—21no—
168#21519—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×M16#4112yes—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—42no—
212C2×C8×C11C22×C411yescharacteristic
213C2×C8×C11C22×C411yescharacteristic
214C2×C8×C11C2×D412yes—
215C2×C8×C11C2×D411yescharacteristic
216C2×C8×C11C2×D411yescharacteristic
217C2×C8×C11#4112yes—
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—
238Dic11⋊C4—42no—
239C4×Dic11—21no—
240C4×Dic11—21no—
241C4×Dic11—21no—
242C4×Dic11—21no—
243C4×Dic11C22×C411yescharacteristic
244C4×Dic11C22×C411yescharacteristic
245C4×Dic11C2×D411yescharacteristic
246C4×Dic11C2×D411yescharacteristic
247#4318—21no—
248#4318—21no—
249#4318—21no—
250#4318C2×D412yes—
251C2×C11⋊C8—21no—
252C2×C11⋊C8—21no—
253C2×C11⋊C8—21no—
254C2×C11⋊C8—21no—
255C2×C11⋊C8—21no—
256C2×C11⋊C8—21no—
257C2×C11⋊C8C22×C411yescharacteristic
258C2×C11⋊C8C22×C411yescharacteristic
259C2×C11⋊C8C2×D411yescharacteristic
260C2×C11⋊C8C2×D411yescharacteristic
261Dic44—22no—
262D88—22no—
263#4314—22no—
264#4314—22no—
265#4313—24no—
266#4313—24no—
267#4313—42no—
268C8×D11—24no—
269C8×D11—24no—
270C8×D11—42no—
271#3035—111no—
272C2×#444—111no—
273C2×#443—111no—
274#2932—111no—
275#2875—111no—
276#1980—111no—
277#1950—111no—
278#1929—111no—
279#1929—111no—
280#1876—111no—
281#1876—111no—
282#1806—111no—
283#1771—111no—
284#1765D1111yescharacteristic, complemented
285#1764—111no—
286C23×C11—21no—
287C23×C11C2×#4111yescharacteristic
288C22×D11—21no—
289C22×D11—21no—
290Q8×C11—21no—
291Q8×C11—21no—
292D4×C11—21no—
293D4×C11—21no—
294D4×C11—41no—
295D4×C11—41no—
296C2×C4×C11—21no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11C23×C411yescharacteristic
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C22⋊D11—22no—
311C22⋊D11—22no—
312C22⋊D11—41no—
313C22⋊D11—41no—
314C22⋊D11—81no—
315C22⋊D11—81no—
316C2×Dic11—21no—
317C2×Dic11—22no—
318C2×Dic11—21no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11C4×D411yescharacteristic
324C2×Dic11C4×D411yescharacteristic
325C2×Dic11C4×D411yescharacteristic
326C2×Dic11C4×D411yescharacteristic
327D44—21no—
328D44—21no—
329D44—21no—
330D44C4×D412yes—
331C4×D11—22no—
332C4×D11—22no—
333C4×D11—41no—
334C4×D11—41no—
335C4×D11—81no—
336C4×D11—81no—
337Dic22—21no—
338Dic22—21no—
339Dic22—21no—
340Dic22C4×D412yes—
341C8×C11—21no—
342C8×C11—21no—
343C8×C11—22no—
344C8×C11—41no—
345C8×C11#12112yes—
346C8×C11#12112yes—
347C11⋊C8—21no—
348C11⋊C8—21no—
349C11⋊C8—22no—
350C11⋊C8—21no—
351C11⋊C8—21no—
352C11⋊C8—41no—
353C2×#135—111no—
354C2×#135—111no—
355C2×#131—111no—
356C2×#131—111no—
357C2×#131—111no—
358C2×#131C2×D1111yescharacteristic
359#532—111no—
360C4×#41—111no—
361#464—111no—
362#464—111no—
363#463—111no—
364#463—111no—
365#462—111no—
366#461—111no—
367#460—111no—
368#459—111no—
369#444—224no—
370#443—224no—
371#435—221no—
372#435—221no—
373#435—221no—
374#435—221no—
375C2×#108—111no—
376C2×#108—111no—
377#423—111no—
378C2×C4⋊C8—111no—
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104—111no—
384C2×#104C2×D1111yescharacteristic
385#416—111no—
386#416C2×D1111yescharacteristic
387#408—111no—
388#408—111no—
389#405—111no—
390#405—221no—
391#405—221no—
392#405C2×D1111yescharacteristic
393C4×M16—111no—
394C4×M16—221no—
395C2×#97—111no—
396C2×#97—221no—
397C2×#97C2×D1111yescharacteristic
398C2×C4×C8—111no—
399C4×C4⋊C4—111no—
400#341—111no—
401#341C2×D1111yescharacteristic
402#339—111no—
403#339C2×D1111yescharacteristic
404#336—111no—
405#336—111no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11C2×C4×D411yescharacteristic
412C22×C11#52911yescharacteristic
413C22×C11#53211yescharacteristic
414C2×D11—22no—
415C2×D11—41no—
416C2×D11—41no—
417C2×D11—41no—
418C2×D11—41no—
419C2×D11—41no—
420C4×C11—41no—
421C4×C11—41no—
422C4×C11—41no—
423C4×C11—81no—
424C4×C11C2×C4×D411yescharacteristic
425C4×C11C4×#4111yescharacteristic
426C4×C11C2×#12111yescharacteristic
427C4×C11#52511yescharacteristic
428Dic11—21no—
429Dic11—21no—
430Dic11—21no—
431Dic11—21no—
432Dic11—22no—
433Dic11—42no—
434Dic11—41no—
435C2×#41—111no—
436C2×#41—111no—
437C2×#41C22×D1111yescharacteristic
438#135—222no—
439#135—222no—
440#135—222no—
441#135—222no—
442C2×Q16—111no—
443C2×Q16—111no—
444C2×SD16—111no—
445C2×SD16—111no—
446C2×SD16—111no—
447C2×SD16—111no—
448C2×D8—111no—
449C2×D8—111no—
450#131—22no—
451#131—22no—
452#131—114no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—222no—
457#131—222no—
458C2×M16—21no—
459C2×M16—111no—
460C2×M16—111no—
461C2×M16—221no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16C22×D1111yescharacteristic
465C2×M16C22×D1111yescharacteristic
466C22×C8—21no—
467C22×C8—111no—
468C22×C8—111no—
469C22×C8—221no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8C22×D1111yescharacteristic
473C22×C8C22×D1111yescharacteristic
474C4⋊Q8—111no—
475#127—111no—
476#124—111no—
477#124—111no—
478#121—221no—
479#121—221no—
480C4×Q8—111no—
481C4×Q8—111no—
482C4×D4—111no—
483C4×D4—111no—
484C4×D4—221no—
485C4×D4—221no—
486C4×D4—221no—
487C4×D4—221no—
488#117—221no—
489#117C22×D1111yescharacteristic
490C2×C4⋊C4—221no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—221no—
494C2×C42C22×D1111yescharacteristic
495#108—222no—
496#108—222no—
497C4⋊C8—111no—
498C4⋊C8—111no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—221no—
502C4⋊C8—221no—
503#104—22no—
504#104—222no—
505#104—222no—
506#104—222no—
507#104—222no—
508#104—222no—
509#103—111no—
510#103—111no—
511#103C4×D1111yescharacteristic
512#103C4×D1111yescharacteristic
513#102—111no—
514#102—111no—
515#102C4×D1111yescharacteristic
516#102C4×D1111yescharacteristic
517C22⋊C8—221no—
518C22⋊C8—221no—
519C22⋊C8—221no—
520C22⋊C8—221no—
521#97—21no—
522#97—22no—
523#97—111no—
524#97—111no—
525#97—111no—
526#97—111no—
527#97—221no—
528#97—221no—
529C4×C8—21no—
530C4×C8—221no—
531C4×C8—221no—
532C4×C8—222no—
533#95—221no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11—81no—
537C2×C11C4×#12111yescharacteristic
538C2×C11#295611yescharacteristic
539C2×C11#295711yescharacteristic
540D11—42no—
541D11—81no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—112no—
547#41—112no—
548#41—221no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41—221no—
553#41—221no—
554C2×Q8—111no—
555C2×Q8—111no—
556C2×Q8C2×C4×D1111yescharacteristic
557C2×D4—21no—
558C2×D4—111no—
559C2×D4—111no—
560C2×D4—221no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4—221no—
564C2×D4C2×C4×D1111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—111no—
568C22×C4—111no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4C23×D1111yescharacteristic
575Q16—222no—
576Q16—222no—
577SD16—222no—
578SD16—222no—
579SD16—222no—
580SD16—222no—
581D8—222no—
582D8—222no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—42no—
587M16—112no—
588M16—224no—
589M16—221no—
590M16—224no—
591M16—221no—
592M16—221no—
593M16—442no—
594M16#433912yes—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—42no—
600C2×C8—111no—
601C2×C8—111no—
602C2×C8—111no—
603C2×C8—111no—
604C2×C8—224no—
605C2×C8—221no—
606C2×C8—221no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—224no—
611C2×C8—221no—
612C2×C8—442no—
613C2×C8C2×C4×D1111yescharacteristic
614C2×C8C2×C4×D1111yescharacteristic
615C2×C8#433912yes—
616C2×C8D4×D1112yes—
617C2×C8D4×D1111yescharacteristic
618C2×C8D4×D1111yescharacteristic
619C4⋊C4—221no—
620C4⋊C4—221no—
621C4⋊C4—221no—
622C4⋊C4—221no—
623C4⋊C4—442no—
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—221no—
641C42—221no—
642C42—221no—
643C42—221no—
644C11#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—221no—
647C23—221no—
648C23#41×D1111yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—112no—
652Q8—221no—
653Q8—221no—
654Q8—221no—
655D4—21no—
656D4—21no—
657D4—41no—
658D4—41no—
659D4—112no—
660D4—222no—
661D4—222no—
662D4—221no—
663D4—221no—
664D4—221no—
665D4—441no—
666D4—441no—
667D4—881no—
668D4—881no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—111no—
678C2×C4—111no—
679C2×C4—111no—
680C2×C4—111no—
681C2×C4—221no—
682C2×C4—222no—
683C2×C4—222no—
684C2×C4—222no—
685C2×C4—221no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—441no—
692C2×C4—881no—
693C2×C4—881no—
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C2×#433911yescharacteristic
696C2×C4C2×#433911yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C2×D4×D1111yescharacteristic
699C2×C4#41×D1111yescharacteristic
700C8—21no—
701C8—21no—
702C8—22no—
703C8—41no—
704C8—222no—
705C8—221no—
706C8—221no—
707C8—221no—
708C8—221no—
709C8—441no—
710C8#6693712yes—
711C8#6693712yes—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—222no—
718C22—441no—
719C22—441no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22#1062305911yescharacteristic
724C22C4×D4×D1111yescharacteristic
725C22#1062307911yescharacteristic
726C4—41no—
727C4—41no—
728C4—41no—
729C4—81no—
730C4—221no—
731C4—221no—
732C4—222no—
733C4—221no—
734C4—221no—
735C4—442no—
736C4—441no—
737C4C4×#433911yescharacteristic
738C4C2×#6693711yescharacteristic
739C4C4×D4×D1111yescharacteristic
740C4#1062307811yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—442no—
745C2—881no—
746C2C4×#6693711yescharacteristic
747C2#1307752411yescharacteristic
748C2#1307753011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1765C2
socleC22×C11C2×C4×D4
prime radical#13078069C2
cosocleC22×C4×C11C24
hypercenter#1765D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1765

Complements

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

NH ≅ G/Ntype
2. C2×#10622330C2semidirect
3. C2×#10622757C2semidirect
4. #13077332C2semidirect
5. #13077043C2semidirect
6. #13069533C2semidirect
7. #13069390C2semidirect
8. #13069266C2semidirect
9. #13069262C2semidirect
10. #13068944C2semidirect
11. #13068940C2semidirect
12. #13068635C2semidirect
13. #13068492C2semidirect
14. #13068455C2semidirect
15. C11×#1765C2semidirect
50. #10622432C4semidirect
51. #10622431C4semidirect
52. #10622411C4semidirect
53. #10622406C4semidirect
54. #10622400C4semidirect
55. #10622399C4semidirect
56. #10622380C4semidirect
57. #10622375C4semidirect
114. #66954D4semidirect
284. #1765D11semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780692
C2×#106223302
C2×#106227572
#130773322
#130770432
#130695332
#130693902
#130692662
#130692622
#130689442
#130689402
#130686352
#130684922
#130684552
C11×#17652
#2151911