Finite Group Databasebeta

← #14760241

Subgroups — #14760241

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#13078073C211yesmaximal, characteristic
2C2×#10622330C211yesmaximal, characteristic, complemented
3C2×#10622313C211yesmaximal, characteristic, complemented
4#13077335C211yesmaximal, characteristic, complemented
5#13077041C211yesmaximal, characteristic, complemented
6#13069534C211yesmaximal, characteristic, complemented
7#13069392C211yesmaximal, characteristic, complemented
8#13069265C211yesmaximal, characteristic, complemented
9#13069265C211yesmaximal, characteristic, complemented
10#13068942C211yesmaximal, characteristic, complemented
11#13068942C211yesmaximal, characteristic, complemented
12#13068637C211yesmaximal, characteristic, complemented
13#13068460C211yesmaximal, characteristic, complemented
14#13068453C211yesmaximal, characteristic, complemented
15C11×#1771C211yesmaximal, characteristic, complemented
16C2×#66957C2211yescharacteristic
17C2×#66957C2211yescharacteristic
18C2×#66954C2211yescharacteristic
19C2×#66954C2211yescharacteristic
20C2×#66954C2211yescharacteristic
21C2×#66954C2211yescharacteristic
22#10623008C2211yescharacteristic
23C4×#4339C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#97C2211yescharacteristic
26C2×C11×#97C2211yescharacteristic
27C2×C4×C8×C11C2211yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29#10622726C2211yescharacteristic
30#10622726C2211yescharacteristic
31#10622723C2211yescharacteristic
32#10622723C2211yescharacteristic
33C2×#66883C2211yescharacteristic
34C2×#66883C2211yescharacteristic
35#10622714C2211yescharacteristic
36#10622714C2211yescharacteristic
37C2×#66869C2211yescharacteristic
38C2×#66869C2211yescharacteristic
39C2×#66869C2211yescharacteristic
40C2×#66869C2211yescharacteristic
41C2×#66869C2211yescharacteristic
42C2×#66869C2211yescharacteristic
43#10622537C2211yescharacteristic
44C4×#4318C2211yescharacteristic
45#10622462C411yescharacteristic, complemented
46#10622461C411yescharacteristic, complemented
47#10622458C411yescharacteristic, complemented
48#10622458C411yescharacteristic, complemented
49#10622457C411yescharacteristic, complemented
50#10622457C411yescharacteristic, complemented
51#10622456C411yescharacteristic, complemented
52#10622454C411yescharacteristic, complemented
53#10622330—24no—
54#10622321—21no—
55#10622321—21no—
56#10622320—21no—
57#10622319—21no—
58#10622319—21no—
59#10622319—21no—
60#10622319—21no—
61D11×#97—21no—
62#10622313—24no—
63C11×#336C2211yescharacteristic
64C11×#336C2211yescharacteristic
65#10622190C2211yescharacteristic
66#10622190C2211yescharacteristic
67#10622161C2211yescharacteristic
68#10622161C2211yescharacteristic
69C2×#4339C2311yescharacteristic
70C2×#4339C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C2×C11×C4⋊C4—21no—
77C2×C42×C11C2311yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C42×C11C2311yescharacteristic
80#66983—21no—
81#66983—21no—
82C4×C22⋊D11—21no—
83C4×C22⋊D11—21no—
84#66979C2311yescharacteristic
85C2×#4318C2311yescharacteristic
86C2×#4318C2311yescharacteristic
87C2×#4318C2311yescharacteristic
88C2×#4318C2311yescharacteristic
89C2×Dic44C2×C411yescharacteristic
90C2×Dic44C2×C411yescharacteristic
91#66957—22no—
92#66957—22no—
93#66957—22no—
94#66957—22no—
95C2×D88C2×C411yescharacteristic
96C2×D88C2×C411yescharacteristic
97C2×#4314C2×C411yescharacteristic
98C2×#4314C2×C411yescharacteristic
99C2×#4314C2×C411yescharacteristic
100C2×#4314C2×C411yescharacteristic
101#66954—22no—
102#66954—22no—
103#66954—22no—
104#66954—22no—
105#66954—22no—
106#66954—22no—
107#66954—22no—
108#66954D414yescomplemented
109C2×#4313—21no—
110C2×#4313—21no—
111C2×#4313—21no—
112C2×#4313—21no—
113C2×C8×D11—21no—
114C2×C8×D11—21no—
115C2×C8×D11—21no—
116C2×C8×D11—21no—
117#66928C2×C411yescharacteristic
118#66928C2×C411yescharacteristic
119#66927C2×C411yescharacteristic
120C4×D44—21no—
121C4×D44—21no—
122C4×D44C2×C411yescharacteristic
123C4×D44C2×C411yescharacteristic
124#66925—21no—
125C42×D11—21no—
126#66922C2×C411yescharacteristic
127C4×Dic22C2×C411yescharacteristic
128C4×Dic22C2×C411yescharacteristic
129C11×C4⋊C8C2×C411yescharacteristic
130C11×C4⋊C8C2×C411yescharacteristic
131C11×C4⋊C8C2×C411yescharacteristic
132C11×C4⋊C8C2×C411yescharacteristic
133C11×#97—22no—
134C11×#97D411yescharacteristic
135C11×#97D411yescharacteristic
136C11×#97D411yescharacteristic
137C11×#97D411yescharacteristic
138C4×C8×C11—22no—
139C11×#95—21no—
140#66885C2×C411yescharacteristic
141#66885C2×C411yescharacteristic
142#66885C2×C411yescharacteristic
143#66885C2×C411yescharacteristic
144(C2×D11)⋊C8—21no—
145(C2×D11)⋊C8—21no—
146(C2×D11)⋊C8—21no—
147(C2×D11)⋊C8—21no—
148#66883—22no—
149#66883—22no—
150#66880C2×C411yescharacteristic
151#66880C2×C411yescharacteristic
152#66880C2×C411yescharacteristic
153#66880C2×C411yescharacteristic
154#66879—21no—
155#66879—21no—
156C8×Dic11—21no—
157C8×Dic11—21no—
158#66869—22no—
159#66869—22no—
160#66869—22no—
161#66869—22no—
162#66869—22no—
163#66869—22no—
164C4⋊(C11⋊C8)—21no—
165C4⋊(C11⋊C8)—21no—
166#66867—21no—
167C4×C11⋊C8—21no—
168#21519—111nomaximal, Sylow
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11#4111yescharacteristic
172C22×C4×C11#4111yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C2×C22⋊D11—21no—
175C2×C22⋊D11—21no—
176C2×C22⋊D11—21no—
177#4339—21no—
178#4339—21no—
179#4339—21no—
180#4339—21no—
181#4339—21no—
182#4339—21no—
183#4339—21no—
184#4339—21no—
185#4339—21no—
186#4339—21no—
187#4339C2×D412yes—
188#4339#4112yes—
189C2×D44—21no—
190C2×D44—21no—
191C2×D44C22×C411yescharacteristic
192C2×D44C22×C411yescharacteristic
193C2×D44C22×C411yescharacteristic
194C2×C4×D11—21no—
195C2×C4×D11—21no—
196C2×C4×D11—21no—
197C2×C4×D11—21no—
198C2×C4×D11—21no—
199C2×Dic22C22×C411yescharacteristic
200C2×Dic22C22×C411yescharacteristic
201C2×Dic22C22×C411yescharacteristic
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11C22×C411yescharacteristic
209C2×C8×C11C22×C411yescharacteristic
210C2×C8×C11C22×C411yescharacteristic
211C2×C8×C11C22×C411yescharacteristic
212C2×C8×C11C2×D411yescharacteristic
213C2×C8×C11C2×D411yescharacteristic
214C2×C8×C11C2×D411yescharacteristic
215C2×C8×C11C2×D411yescharacteristic
216C2×C8×C11C2×D412yes—
217C2×C8×C11#4112yes—
218C11×C4⋊C4—42no—
219C42×C11—21no—
220C42×C11—21no—
221C42×C11—21no—
222C42×C11—21no—
223C42×C11C22×C411yescharacteristic
224C42×C11C22×C411yescharacteristic
225C42×C11C2×D411yescharacteristic
226C42×C11C2×D411yescharacteristic
227C22⋊Dic11—21no—
228(C2×D11)⋊C4—21no—
229(C2×D11)⋊C4—21no—
230(C2×D11)⋊C4—21no—
231(C2×D11)⋊C4—21no—
232(C2×D11)⋊C4—21no—
233(C2×D11)⋊C4—21no—
234C4⋊Dic11—21no—
235C4⋊Dic11—21no—
236C4⋊Dic11C22×C411yescharacteristic
237C4⋊Dic11C22×C411yescharacteristic
238Dic11⋊C4—21no—
239Dic11⋊C4—21no—
240C4×Dic11—21no—
241C4×Dic11—21no—
242C4×Dic11—21no—
243#4318—21no—
244#4318—21no—
245#4318—21no—
246#4318—21no—
247#4318—21no—
248#4318—21no—
249#4318C2×D412yes—
250#4318#4112yes—
251C2×C11⋊C8—21no—
252C2×C11⋊C8—21no—
253C2×C11⋊C8—21no—
254C2×C11⋊C8—21no—
255Dic44—22no—
256Dic44—22no—
257D88—22no—
258D88—22no—
259#4314—22no—
260#4314—22no—
261#4314—22no—
262#4314—22no—
263#4313—24no—
264#4313—24no—
265#4313—42no—
266#4313—42no—
267C8×D11—24no—
268C8×D11—24no—
269C8×D11—42no—
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#1771D1111yescharacteristic, complemented
284#1765—111no—
285#1764—111no—
286C23×C11C2×#4111yescharacteristic
287C22×D11—21no—
288C22×D11—21no—
289C22×D11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11C4×D411yescharacteristic
299C2×C4×C11C4×D411yescharacteristic
300C2×C4×C11C4×D411yescharacteristic
301C2×C4×C11C4×D411yescharacteristic
302C2×C4×C11C23×C411yescharacteristic
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C22⋊D11—22no—
309C22⋊D11—22no—
310C22⋊D11—41no—
311C22⋊D11—41no—
312C22⋊D11—41no—
313C22⋊D11—41no—
314C2×Dic11—21no—
315C2×Dic11—21no—
316C2×Dic11—21no—
317C2×Dic11—21no—
318C2×Dic11—21no—
319D44—21no—
320D44—21no—
321D44—21no—
322D44—21no—
323D44—21no—
324D44—81no—
325D44—81no—
326D44C4×D412yes—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—41no—
330C4×D11—41no—
331C4×D11—41no—
332C4×D11—41no—
333C4×D11—81no—
334C4×D11—81no—
335Dic22—21no—
336Dic22—21no—
337Dic22—21no—
338Dic22—21no—
339Dic22—21no—
340Dic22C4×D412yes—
341C8×C11—21no—
342C8×C11—21no—
343C8×C11—21no—
344C8×C11—21no—
345C8×C11—21no—
346C8×C11—21no—
347C8×C11#12112yes—
348C8×C11#12112yes—
349C11⋊C8—22no—
350C11⋊C8—22no—
351C11⋊C8—41no—
352C11⋊C8—41no—
353C2×#135—111no—
354C2×#135—111no—
355C2×#131—111no—
356C2×#131—111no—
357C2×#131—111no—
358C2×#131—111no—
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⋊C8C2×D1111yescharacteristic
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104—111no—
384C2×#104—111no—
385#416—111no—
386#416—111no—
387#408—111no—
388#408—111no—
389#405—111no—
390#405—111no—
391#405—221no—
392#405—221no—
393C4×M16—111no—
394C4×M16—221no—
395C2×#97—221no—
396C2×#97C2×D1111yescharacteristic
397C2×#97C2×D1111yescharacteristic
398C2×C4×C8C2×D1111yescharacteristic
399C4×C4⋊C4C2×D1111yescharacteristic
400#341—111no—
401#341—111no—
402#339—111no—
403#339—111no—
404#336C2×D1111yescharacteristic
405#336C2×D1111yescharacteristic
406C22×C11—21no—
407C22×C11—21no—
408C22×C11C2×C4×D411yescharacteristic
409C22×C11#52911yescharacteristic
410C22×C11#53211yescharacteristic
411C2×D11—22no—
412C2×D11—41no—
413C2×D11—41no—
414C2×D11—41no—
415C2×D11—41no—
416C2×D11—41no—
417C2×D11—41no—
418C2×D11—41no—
419C2×D11—41no—
420C4×C11—21no—
421C4×C11—21no—
422C4×C11—21no—
423C4×C11—21no—
424C4×C11—42no—
425C4×C11—81no—
426C4×C11C2×C4×D411yescharacteristic
427C4×C11C4×#4111yescharacteristic
428C4×C11C2×#12111yescharacteristic
429C4×C11#52511yescharacteristic
430Dic11—22no—
431Dic11—41no—
432Dic11—41no—
433Dic11—41no—
434Dic11—41no—
435C2×#41—111no—
436C2×#41—111no—
437C2×#41—111no—
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—114no—
451#131—222no—
452#131—222no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—222no—
457#131—222no—
458C2×M16—111no—
459C2×M16—111no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16—221no—
465C2×M16—221no—
466C22×C8—221no—
467C22×C8—221no—
468C22×C8—221no—
469C22×C8—221no—
470C22×C8C22×D1111yescharacteristic
471C22×C8C22×D1111yescharacteristic
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—111no—
489#117—221no—
490C2×C4⋊C4—21no—
491C2×C42—221no—
492C2×C42C22×D1111yescharacteristic
493C2×C42C22×D1111yescharacteristic
494C2×C42C22×D1111yescharacteristic
495#108—222no—
496#108—222no—
497C4⋊C8—221no—
498C4⋊C8—221no—
499C4⋊C8C4×D1111yescharacteristic
500C4⋊C8C4×D1111yescharacteristic
501C4⋊C8C4×D1111yescharacteristic
502C4⋊C8C4×D1111yescharacteristic
503#104—222no—
504#104—222no—
505#104—222no—
506#104—222no—
507#104—222no—
508#104—222no—
509#103—111no—
510#103—111no—
511#103—111no—
512#103—111no—
513#102—111no—
514#102—111no—
515#102—111no—
516#102—111no—
517C22⋊C8—221no—
518C22⋊C8—221no—
519C22⋊C8—221no—
520C22⋊C8—221no—
521#97—22no—
522#97—221no—
523#97—221no—
524#97—221no—
525#97D4411yescharacteristic
526#97D4411yescharacteristic
527#97D4411yescharacteristic
528#97D4411yescharacteristic
529C4×C8—22no—
530C4×C8—221no—
531C4×C8—221no—
532C4×C8—221no—
533#95—21no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11C4×#12111yescharacteristic
537C2×C11#295611yescharacteristic
538C2×C11#295711yescharacteristic
539D11—42no—
540D11—81no—
541D11—81no—
542#41—112no—
543#41—112no—
544#41—221no—
545#41—221no—
546#41—221no—
547#41—221no—
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×Q8—111no—
557C2×D4—111no—
558C2×D4—111no—
559C2×D4—111no—
560C2×D4—221no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4—221no—
564C2×D4—221no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—221no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4#433911yescharacteristic
573C22×C4#433911yescharacteristic
574C22×C4C23×D1111yescharacteristic
575Q16—222no—
576Q16—222no—
577SD16—222no—
578SD16—222no—
579SD16—222no—
580SD16—222no—
581D8—222no—
582D8—222no—
583M16—112no—
584M16—112no—
585M16—224no—
586M16—221no—
587M16—221no—
588M16—224no—
589M16—221no—
590M16—221no—
591M16—221no—
592M16—221no—
593M16—442no—
594M16—442no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—224no—
602C2×C8—221no—
603C2×C8—221no—
604C2×C8—224no—
605C2×C8—221no—
606C2×C8—221no—
607C2×C8—442no—
608C2×C8—442no—
609C2×C8C2×C4×D1111yescharacteristic
610C2×C8C2×C4×D1111yescharacteristic
611C2×C8C2×C4×D1111yescharacteristic
612C2×C8C2×C4×D1111yescharacteristic
613C2×C8C2×D4411yescharacteristic
614C2×C8C2×D4411yescharacteristic
615C2×C8C2×D4411yescharacteristic
616C2×C8C2×D4411yescharacteristic
617C2×C8D4×D1112yes—
618C2×C8#434312yes—
619C4⋊C4—42no—
620C4⋊C4—111no—
621C4⋊C4—111no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—221no—
626C22⋊C4—221no—
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—21no—
637C42—221no—
638C42—221no—
639C42—221no—
640C42C2×C4×D1111yescharacteristic
641C42C2×C4×D1111yescharacteristic
642C42C2×D4411yescharacteristic
643C42C2×D4411yescharacteristic
644C11#2151911yescharacteristic, complemented, Sylow
645C23—221no—
646C23—221no—
647C23—221no—
648C23C2×#433911yescharacteristic
649Q8—112no—
650Q8—221no—
651Q8—221no—
652Q8—221no—
653Q8—221no—
654Q8—221no—
655D4—112no—
656D4—222no—
657D4—222no—
658D4—221no—
659D4—221no—
660D4—221no—
661D4—221no—
662D4—221no—
663D4—441no—
664D4—441no—
665D4—441no—
666D4—441no—
667D4—881no—
668D4—881no—
669C2×C4—22no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—221no—
678C2×C4—222no—
679C2×C4—222no—
680C2×C4—221no—
681C2×C4—221no—
682C2×C4—221no—
683C2×C4—221no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—881no—
689C2×C4—881no—
690C2×C4C4×D4411yescharacteristic
691C2×C4C4×D4411yescharacteristic
692C2×C4C4×D4411yescharacteristic
693C2×C4C4×D4411yescharacteristic
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C22×D4411yescharacteristic
696C2×C4C2×D4×D1111yescharacteristic
697C2×C4C2×#434311yescharacteristic
698C2×C4#41×D1111yescharacteristic
699C2×C4#41×D1111yescharacteristic
700C8—21no—
701C8—21no—
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—222no—
707C8—222no—
708C8—441no—
709C8—441no—
710C8#6694812yes—
711C8#6694812yes—
712C22—21no—
713C22—21no—
714C22—222no—
715C22—441no—
716C22—441no—
717C22—441no—
718C22—441no—
719C22—441no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22C2×C4×D4411yescharacteristic
724C22#1062307911yescharacteristic
725C22#1062311111yescharacteristic
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—42no—
731C4—81no—
732C4—222no—
733C4—441no—
734C4—441no—
735C4—441no—
736C4—441no—
737C4C2×#6694811yescharacteristic
738C4#1062305511yescharacteristic
739C4C4×D4×D1111yescharacteristic
740C4C4×#434311yescharacteristic
741C2—21no—
742C2—21no—
743C2—442no—
744C2—881no—
745C2—881no—
746C2C4×#6694811yescharacteristic
747C2#1307752711yescharacteristic
748C2#1307753411yescharacteristic
subgroupG/H
centerC2×C4C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1771C2
socleC22×C11C2×C4×D4
prime radical#13078073C2
cosocleC22×C4×C11C24
hypercenter#1771D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #1771

Complements

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

NH ≅ G/Ntype
2. C2×#10622330C2semidirect
3. C2×#10622313C2semidirect
4. #13077335C2semidirect
5. #13077041C2semidirect
6. #13069534C2semidirect
7. #13069392C2semidirect
8. #13069265C2semidirect
9. #13069265C2semidirect
10. #13068942C2semidirect
11. #13068942C2semidirect
12. #13068637C2semidirect
13. #13068460C2semidirect
14. #13068453C2semidirect
15. C11×#1771C2semidirect
45. #10622462C4semidirect
46. #10622461C4semidirect
47. #10622458C4semidirect
48. #10622458C4semidirect
49. #10622457C4semidirect
50. #10622457C4semidirect
51. #10622456C4semidirect
52. #10622454C4semidirect
108. #66954D4semidirect
283. #1771D11semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780732
C2×#106223302
C2×#106223132
#130773352
#130770412
#130695342
#130693922
#130692652
#130689422
#130686372
#130684602
#130684532
C11×#17712
#2151911