Finite Group Databasebeta

← #14760232

Subgroups — #14760232

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#13078071C211yesmaximal, characteristic
2C2×#10622436C211yesmaximal, characteristic, complemented
3C2×#10622437C211yesmaximal, characteristic, complemented
4#13077333C211yesmaximal, characteristic, complemented
5#13077044C211yesmaximal, characteristic, complemented
6#13069534C211yesmaximal, characteristic, complemented
7#13069389C211yesmaximal, characteristic, complemented
8#13069262C211yesmaximal, characteristic, complemented
9#13069262C211yesmaximal, characteristic, complemented
10#13068941C211yesmaximal, characteristic, complemented
11#13068941C211yesmaximal, characteristic, complemented
12#13068491C211yesmaximal, characteristic, complemented
13#13068457C211yesmaximal, characteristic, complemented
14#13068450C211yesmaximal, characteristic, complemented
15C11×#1806C211yesmaximal, characteristic, complemented
16C4×C11×#41C2211yescharacteristic
17C2×#67003C2211yescharacteristic
18C2×#67003C2211yescharacteristic
19C2×#67001C2211yescharacteristic
20C2×#67001C2211yescharacteristic
21C2×#66960C2211yescharacteristic
22C2×#66960C2211yescharacteristic
23#10623008C2211yescharacteristic
24C11×#423C2211yescharacteristic
25C2×C11×#104C2211yescharacteristic
26C2×C11×#104C2211yescharacteristic
27C4×C11×C4⋊C4C2211yescharacteristic
28#10622742C2211yescharacteristic
29#10622742C2211yescharacteristic
30C2×#66886C2211yescharacteristic
31C2×#66886C2211yescharacteristic
32#10622644C411yescharacteristic, complemented
33#10622641C411yescharacteristic, complemented
34#10622641C411yescharacteristic, complemented
35#10622640C411yescharacteristic, complemented
36#10622632C411yescharacteristic, complemented
37#10622629C411yescharacteristic, complemented
38#10622629C411yescharacteristic, complemented
39#10622628C411yescharacteristic, complemented
40#10622615C2211yescharacteristic
41#10622615C2211yescharacteristic
42#10622610—21no—
43#10622610—21no—
44#10622610C2211yescharacteristic
45#10622610C2211yescharacteristic
46C2×#66869C2211yescharacteristic
47C2×#66869C2211yescharacteristic
48C2×#66869C2211yescharacteristic
49C2×#66869C2211yescharacteristic
50C2×C4⋊(C11⋊C8)C2211yescharacteristic
51C4×#4318—21no—
52C4×#4318C2211yescharacteristic
53C2×#66867—21no—
54C2×#66867C2211yescharacteristic
55C2×#66867C2211yescharacteristic
56C2×C4×C11⋊C8C2211yescharacteristic
57#10622449—21no—
58#10622449—21no—
59#10622449—21no—
60#10622449—21no—
61#10622437—24no—
62#10622436—24no—
63C11×#339C2211yescharacteristic
64C11×#339C2211yescharacteristic
65#10622196C2211yescharacteristic
66#10622196C2211yescharacteristic
67#10622162C2211yescharacteristic
68#10622162C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×#4339C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C2×C11×M16C2311yescharacteristic
73C2×C11×M16C2311yescharacteristic
74C4×Q8×C11C2×C411yescharacteristic
75C4×Q8×C11C2×C411yescharacteristic
76C4×D4×C11—21no—
77C4×D4×C11—21no—
78C4×D4×C11C2×C411yescharacteristic
79C4×D4×C11C2×C411yescharacteristic
80C11×#117—21no—
81C11×#117C2311yescharacteristic
82C2×C11×C4⋊C4—21no—
83C2×C42×C11—21no—
84C2×C42×C11C2311yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87#67003—22no—
88#67003—22no—
89#67003—22no—
90#67003—22no—
91#67001—22no—
92#67001—22no—
93#67001—22no—
94#67001D414yescomplemented
95C2×#4326C2×C411yescharacteristic
96C2×#4326C2×C411yescharacteristic
97C2×#4325C2×C411yescharacteristic
98C2×#4325C2×C411yescharacteristic
99C2×#4324C2×C411yescharacteristic
100C2×#4324C2×C411yescharacteristic
101C2×#4323C2×C411yescharacteristic
102C2×#4323C2×C411yescharacteristic
103#66983—21no—
104#66983—21no—
105C2×#4318—21no—
106C2×#4318—21no—
107C2×#4318C2311yescharacteristic
108C2×#4318C2311yescharacteristic
109C22×C11⋊C8—21no—
110C22×C11⋊C8—21no—
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115#66960—22no—
116#66960—22no—
117#66960—22no—
118#66960—22no—
119C2×#4313—21no—
120C2×#4313—21no—
121C2×C8×D11—21no—
122C2×C8×D11—21no—
123#66928C2×C411yescharacteristic
124#66928C2×C411yescharacteristic
125#66927C2×C411yescharacteristic
126C4×D44—21no—
127C4×D44—21no—
128#66922C2×C411yescharacteristic
129C11×C4⋊C8—21no—
130C11×C4⋊C8—21no—
131C11×#104—22no—
132C11×#104—22no—
133C11×#95—21no—
134#66886—22no—
135#66886—22no—
136(C2×D11)⋊C8—21no—
137(C2×D11)⋊C8—21no—
138(C2×D11)⋊C8—21no—
139(C2×D11)⋊C8—21no—
140#66874C2×C411yescharacteristic
141#66874C2×C411yescharacteristic
142#66874C2×C411yescharacteristic
143#66874C2×C411yescharacteristic
144#66873C2×C411yescharacteristic
145#66873C2×C411yescharacteristic
146#66873C2×C411yescharacteristic
147#66873C2×C411yescharacteristic
148#66869—22no—
149#66869—22no—
150#66869—22no—
151#66869—22no—
152C4⋊(C11⋊C8)C2×C411yescharacteristic
153C4⋊(C11⋊C8)C2×C411yescharacteristic
154C4⋊(C11⋊C8)C2×C411yescharacteristic
155C4⋊(C11⋊C8)C2×C411yescharacteristic
156#66867—21no—
157#66867—21no—
158#66867—21no—
159#66867—22no—
160#66867D411yescharacteristic
161#66867D411yescharacteristic
162#66867D411yescharacteristic
163#66867D411yescharacteristic
164C4×C11⋊C8—21no—
165C4×C11⋊C8—22no—
166C4×C11⋊C8—21no—
167C4×C11⋊C8—21no—
168#21519—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41C2×D412yes—
172C11×#41#4112yes—
173C2×Q8×C11C22×C411yescharacteristic
174C2×D4×C11—21no—
175C2×D4×C11C22×C411yescharacteristic
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11#4111yescharacteristic
182C22×C4×C11#4111yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C2×C22⋊D11—21no—
185C2×C22⋊D11—21no—
186#4339—21no—
187#4339—21no—
188#4339—21no—
189#4339—21no—
190#4339—21no—
191#4339—21no—
192#4339—21no—
193#4339—21no—
194C2×D44—21no—
195C2×D44—21no—
196C2×D44C22×C411yescharacteristic
197C2×D44C22×C411yescharacteristic
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—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—42no—
211C11×C4⋊C4C22×C411yescharacteristic
212C11×C4⋊C4C22×C411yescharacteristic
213C11×C22⋊C4—21no—
214C11×C22⋊C4—21no—
215C11×C22⋊C4—21no—
216C42×C11—21no—
217C42×C11—21no—
218C42×C11—21no—
219C42×C11—21no—
220C42×C11—21no—
221C42×C11—21no—
222C42×C11—21no—
223C42×C11C22×C411yescharacteristic
224C42×C11C22×C411yescharacteristic
225C42×C11C2×D411yescharacteristic
226C42×C11C2×D411yescharacteristic
227#4326—22no—
228#4326—22no—
229#4325—22no—
230#4325—22no—
231#4324—22no—
232#4324—22no—
233#4323—22no—
234#4323—22no—
235(C2×D11)⋊C4—21no—
236(C2×D11)⋊C4—21no—
237(C2×D11)⋊C4—21no—
238(C2×D11)⋊C4—21no—
239C4⋊Dic11—21no—
240C4⋊Dic11—21no—
241#4318—24no—
242#4318—24no—
243#4318—21no—
244#4318—21no—
245#4318C2×D412yes—
246#4318#4112yes—
247C2×C11⋊C8—24no—
248C2×C11⋊C8—24no—
249C2×C11⋊C8—21no—
250C2×C11⋊C8—21no—
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⋊C8C22×C411yescharacteristic
260C2×C11⋊C8C22×C411yescharacteristic
261C2×C11⋊C8C2×D411yescharacteristic
262C2×C11⋊C8C2×D411yescharacteristic
263C2×C11⋊C8C2×D412yes—
264C2×C11⋊C8C2×D411yescharacteristic
265C2×C11⋊C8C2×D411yescharacteristic
266C2×C11⋊C8#4112yes—
267#4313—42no—
268#4313—42no—
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#1806D1111yescharacteristic, complemented
283#1771—111no—
284#1765—111no—
285#1764—111no—
286C23×C11—21no—
287C23×C11C2×#4111yescharacteristic
288C22×D11—21no—
289C22×D11—21no—
290Q8×C11—21no—
291Q8×C11C4×D412yes—
292D4×C11—22no—
293D4×C11—22no—
294D4×C11—21no—
295D4×C11C4×D412yes—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—21no—
301C2×C4×C11—21no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—81no—
310C2×C4×C11—81no—
311C2×C4×C11C4×D411yescharacteristic
312C2×C4×C11C4×D411yescharacteristic
313C2×C4×C11C4×D411yescharacteristic
314C2×C4×C11C4×D411yescharacteristic
315C2×C4×C11C23×C411yescharacteristic
316C2×C4×C11C22×D411yescharacteristic
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C2×#4111yescharacteristic
319C2×C4×C11C2×#4111yescharacteristic
320C2×C4×C11C2×#4111yescharacteristic
321C22⋊D11—41no—
322C22⋊D11—41no—
323C22⋊D11—41no—
324C22⋊D11—41no—
325C2×Dic11—21no—
326C2×Dic11—21no—
327D44—21no—
328D44—21no—
329D44—21no—
330D44—21no—
331D44—81no—
332D44—81no—
333C4×D11—41no—
334C4×D11—41no—
335C4×D11—41no—
336C4×D11—41no—
337Dic22—21no—
338Dic22—21no—
339Dic22—21no—
340Dic22—21no—
341C8×C11—41no—
342C8×C11—41no—
343C11⋊C8—21no—
344C11⋊C8—21no—
345C11⋊C8—21no—
346C11⋊C8—21no—
347C11⋊C8—22no—
348C11⋊C8—21no—
349C11⋊C8—22no—
350C11⋊C8—21no—
351C11⋊C8#12112yes—
352C11⋊C8#12112yes—
353C2×#135—111no—
354C2×#135—111no—
355C2×#131—111no—
356C2×#131—111no—
357C2×#131—111no—
358C2×#131—111no—
359#532—111no—
360C4×#41C2×D1111yescharacteristic
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#423C2×D1111yescharacteristic
378C2×C4⋊C8—111no—
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104C2×D1111yescharacteristic
384C2×#104C2×D1111yescharacteristic
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—111no—
396C2×#97—111no—
397C2×#97—221no—
398C2×C4×C8—111no—
399C4×C4⋊C4C2×D1111yescharacteristic
400#341—111no—
401#341—111no—
402#339C2×D1111yescharacteristic
403#339C2×D1111yescharacteristic
404#336—111no—
405#336—111no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—22no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11C2×C4×D411yescharacteristic
412C22×C11#52911yescharacteristic
413C22×C11#53211yescharacteristic
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—22no—
425C4×C11—42no—
426C4×C11—41no—
427C4×C11—41no—
428C4×C11—81no—
429C4×C11C2×C4×D411yescharacteristic
430C4×C11C4×#4111yescharacteristic
431C4×C11C2×#12111yescharacteristic
432C4×C11#52511yescharacteristic
433Dic11—41no—
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—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—221no—
461C2×M16—221no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16C22×D1111yescharacteristic
465C2×M16C22×D1111yescharacteristic
466C22×C8—111no—
467C22×C8—111no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8—221no—
473C22×C8—221no—
474C4⋊Q8—111no—
475#127—111no—
476#124—111no—
477#124—111no—
478#121—221no—
479#121—221no—
480C4×Q8C4×D1111yescharacteristic
481C4×Q8C4×D1111yescharacteristic
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—221no—
485C4×D4—221no—
486C4×D4C4×D1111yescharacteristic
487C4×D4C4×D1111yescharacteristic
488#117—21no—
489#117C22×D1111yescharacteristic
490C2×C4⋊C4—21no—
491C2×C42—21no—
492C2×C42C22×D1111yescharacteristic
493C2×C42C22×D1111yescharacteristic
494C2×C42C22×D1111yescharacteristic
495#108—222no—
496#108—222no—
497C4⋊C8—21no—
498C4⋊C8—21no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—111no—
502C4⋊C8—111no—
503#104—22no—
504#104—22no—
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—111no—
522#97—111no—
523#97—111no—
524#97—111no—
525#97—222no—
526#97—221no—
527#97—221no—
528#97—221no—
529C4×C8—222no—
530C4×C8—221no—
531C4×C8—221no—
532C4×C8—221no—
533#95—21no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11—42no—
537C2×C11C4×#12111yescharacteristic
538C2×C11#295611yescharacteristic
539C2×C11#295711yescharacteristic
540D11—81no—
541D11—81no—
542#41—21no—
543#41—21no—
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#41D4×D1112yes—
553#41#434312yes—
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—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4#434111yescharacteristic
573C22×C4#434111yescharacteristic
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—21no—
587M16—112no—
588M16—112no—
589M16—224no—
590M16—224no—
591M16—221no—
592M16—221no—
593M16—442no—
594M16—442no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—112no—
598C2×C8—111no—
599C2×C8—111no—
600C2×C8—112no—
601C2×C8—111no—
602C2×C8—111no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—111no—
606C2×C8—111no—
607C2×C8—224no—
608C2×C8—224no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—221no—
613C2×C8—221no—
614C2×C8—221no—
615C2×C8—221no—
616C2×C8—221no—
617C2×C8—442no—
618C2×C8—442no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—42no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4C2×C4×D1111yescharacteristic
625C4⋊C4C2×C4×D1111yescharacteristic
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—221no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—21no—
638C42—21no—
639C42—21no—
640C42C2×C4×D1111yescharacteristic
641C42C2×C4×D1111yescharacteristic
642C42D4×D1111yescharacteristic
643C42D4×D1111yescharacteristic
644C11#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—221no—
647C23—221no—
648C23C2×#434111yescharacteristic
649Q8—21no—
650Q8—221no—
651Q8—221no—
652Q8—221no—
653Q8—221no—
654Q8#6694612yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—221no—
659D4—221no—
660D4—221no—
661D4—221no—
662D4—441no—
663D4—441no—
664D4—441no—
665D4—441no—
666D4—881no—
667D4—881no—
668D4#6694612yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—221no—
685C2×C4—221no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4(C22⋊D11)⋊C411yescharacteristic
691C2×C4(C22⋊D11)⋊C411yescharacteristic
692C2×C4(C22⋊D11)⋊C411yescharacteristic
693C2×C4(C22⋊D11)⋊C411yescharacteristic
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C2×D4×D1111yescharacteristic
696C2×C4C2×D4×D1111yescharacteristic
697C2×C4C2×#434311yescharacteristic
698C2×C4#41×D1111yescharacteristic
699C2×C4#41×D1111yescharacteristic
700C8—41no—
701C8—41no—
702C8—112no—
703C8—112no—
704C8—221no—
705C8—221no—
706C8—221no—
707C8—221no—
708C8—222no—
709C8—221no—
710C8—221no—
711C8—222no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—441no—
718C22—441no—
719C22—441no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22C2×(C22⋊D11)⋊C411yescharacteristic
724C22#1062312711yescharacteristic
725C22#1062315511yescharacteristic
726C4—22no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—441no—
736C4—441no—
737C4C2×#6694611yescharacteristic
738C4#1062305311yescharacteristic
739C4D11×#12111yescharacteristic
740C4#1062315811yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—881no—
745C2—881no—
746C2#1307112211yescharacteristic
747C2#1307752211yescharacteristic
748C2#1307752911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1806C2
socleC22×C11C2×C4×D4
prime radical#13078071C2
cosocleC22×C4×C11C24
hypercenter#1806D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
2. C2×#10622436C2semidirect
3. C2×#10622437C2semidirect
4. #13077333C2semidirect
5. #13077044C2semidirect
6. #13069534C2semidirect
7. #13069389C2semidirect
8. #13069262C2semidirect
9. #13069262C2semidirect
10. #13068941C2semidirect
11. #13068941C2semidirect
12. #13068491C2semidirect
13. #13068457C2semidirect
14. #13068450C2semidirect
15. C11×#1806C2semidirect
32. #10622644C4semidirect
33. #10622641C4semidirect
34. #10622641C4semidirect
35. #10622640C4semidirect
36. #10622632C4semidirect
37. #10622629C4semidirect
38. #10622629C4semidirect
39. #10622628C4semidirect
94. #67001D4semidirect
282. #1806D11semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780712
C2×#106224362
C2×#106224372
#130773332
#130770442
#130695342
#130693892
#130692622
#130689412
#130684912
#130684572
#130684502
C11×#18062
#2151911