Finite Group Databasebeta

← #11872511

Subgroups — #11872511

Order 1152.

891 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595975C211yesmaximal, characteristic
2#10594826C211yesmaximal, characteristic, complemented
3C3×#4971C211yesmaximal, characteristic, complemented
4C3×#4970C211yesmaximal, characteristic, complemented
5#10591184C211yesmaximal, characteristic
6#10591184C211yesmaximal, characteristic
7#10591062C211yesmaximal, characteristic, complemented
8#10590566C211yesmaximal, characteristic, complemented
9#10590565C211yesmaximal, characteristic, complemented
10#10590485C211yesmaximal, characteristic, complemented
11#10590484C211yesmaximal, characteristic, complemented
12#10590483C211yesmaximal, characteristic, complemented
13#10590482C211yesmaximal, characteristic, complemented
14#10590435C211yesmaximal, characteristic, complemented
15#10590434C211yesmaximal, characteristic, complemented
16#81456—31nomaximal
17#81416—31nomaximal
18C2×#3828C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic
20C4×#638—21no—
21C4×#638—21no—
22#64135C2211yescharacteristic
23#64102C2211yescharacteristic
24#64102C2211yescharacteristic
25#64101—21no—
26C4⋊C4×C3⋊D3—21no—
27#64096C2211yescharacteristic
28#64096C2211yescharacteristic
29C3×#924C2211yescharacteristic
30C3×#924C2211yescharacteristic
31#63956—21no—
32#63956—21no—
33#63873C2211yescharacteristic
34#63872C2211yescharacteristic
35#63845—21no—
36#63845—21no—
37#63843C2211yescharacteristic
38#63843C2211yescharacteristic
39C2×#3719C2211yescharacteristic
40C2×#3719C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C3×#830C2211yescharacteristic
44C3×#830C2211yescharacteristic
45C3×#810C2211yescharacteristic
46C3×#810C2211yescharacteristic
47C3×#810C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63572C2211yescharacteristic
54#63572C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5625—31no—
62#5625—31no—
63#5504—31no—
64#5504—31no—
65#5504—61no—
66C3×#484—31no—
67C3×#483—31no—
68#5047—31no—
69#5047—31no—
70#4971D311yescharacteristic, complemented
71#4970D311yescharacteristic, complemented
72#4891—31no—
73#4889—31no—
74#4877—31no—
75#4873—31no—
76#4871—31no—
77#4857—31no—
78#4853—31no—
79#4852—31no—
80#4818—31no—
81#4818—31no—
82#4817—31no—
83#4795—31no—
84#4795—31no—
85#4790—31no—
86#4789—31no—
87#4788—31no—
88#4733—31no—
89#4733—31no—
90#4720—31no—
91#4720—31no—
92C22×C32×C4—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95#3828—22no—
96#3828—22no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C4×C3⋊D3—21no—
99C2×C4×C3⋊D3—21no—
100C2×C4×C3⋊D3—21no—
101C2×#634C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3757D411yescharacteristic
108#3757D411yescharacteristic
109#3752—21no—
110#3752—21no—
111C4⋊(C3⋊Dic3)D411yescharacteristic
112C4⋊(C3⋊Dic3)D411yescharacteristic
113#3750—21no—
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C4×C3⋊Dic3C2311yescharacteristic
119C3×#217—21no—
120C3×#217—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137#3719—22no—
138#3719—22no—
139#3717—22no—
140#3717—22no—
141#3120—91noSylow
142C2×#235—31no—
143C2×#235—31no—
144C2×#235—61no—
145C3×C22⋊Q8—31no—
146C3×C22⋊Q8—31no—
147C2×C3×C4⋊C4—21no—
148C2×C3×C4⋊C4C2×D311yescharacteristic
149C2×C3×C4⋊C4C2×D311yescharacteristic
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152#944—31no—
153#944—31no—
154C2×#216—31no—
155C2×#216—31no—
156C2×#215—31no—
157C2×#215—31no—
158C4×#67—61no—
159C4×#67—61no—
160C4×#67—61no—
161C4×#67—61no—
162C4×#67—62no—
163C4×#67—62no—
164#926—31no—
165#926—31no—
166#926—61no—
167#924C2×D311yescharacteristic
168#924C2×D311yescharacteristic
169C2×Dic12—31no—
170C2×Dic12—31no—
171C2×#204—31no—
172C2×#204—31no—
173#893—31no—
174#893—31no—
175#893—31no—
176#893—31no—
177#893—61no—
178#893—61no—
179#892—61no—
180#892—61no—
181#892—62no—
182D3×C4⋊C4—61no—
183D3×C4⋊C4—61no—
184D3×C4⋊C4—62no—
185#890—31no—
186#890—31no—
187#890—61no—
188#890—61no—
189#889—61no—
190#889—61no—
191#887—31no—
192#887—31no—
193#887—31no—
194#887—31no—
195#887—31no—
196#887—31no—
197#887—61no—
198#887—61no—
199#879—61no—
200#879—61no—
201#879—61no—
202#879—61no—
203C3×#107—31no—
204C3×#107—31no—
205C3×#106—31no—
206C3×#106—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#103—31no—
210C3×#103—31no—
211C3×C22⋊C8—31no—
212C3×C22⋊C8—31no—
213#830C2×D311yescharacteristic
214#830C2×D311yescharacteristic
215#821—31no—
216#821—31no—
217#816—31no—
218#816—31no—
219#815—31no—
220#815—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225C8×Dic3—31no—
226C8×Dic3—31no—
227#810—31no—
228#810—31no—
229#810C2×D311yescharacteristic
230#810C2×D311yescharacteristic
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#809—31no—
234#809—31no—
235#808C2×D311yescharacteristic
236#808C2×D311yescharacteristic
237#807C2×D311yescharacteristic
238#807C2×D311yescharacteristic
239C23×C32C2×D411yescharacteristic
240C22×C3⋊D3—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4—81no—
246C2×C32×C4C2×D411yescharacteristic
247C2×C32×C4C2411yescharacteristic
248#638—24no—
249C2×C3⋊Dic3—21no—
250C2×C3⋊Dic3C2×D411yescharacteristic
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253C2×C3⋊Dic3C2×D411yescharacteristic
254C4⋊(C3⋊D3)—21no—
255C4⋊(C3⋊D3)#4112yes—
256C4×C3⋊D3—24no—
257C4×C3⋊D3—81no—
258C4×C3⋊D3—81no—
259#634—21no—
260#634#4112yes—
261C2×C3×Dic3—21no—
262C2×C3×Dic3—21no—
263C2×C3×Dic3—21no—
264C2×C3×Dic3—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268C3×Dic6—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273#541—91no—
274#520—91no—
275#484—31no—
276#483—31no—
277#479—91no—
278#478—91no—
279#462—91no—
280#461—91no—
281#452—91no—
282#452—91no—
283#441—91no—
284#440—91no—
285C4×Q16—91no—
286C4×SD16—91no—
287#433—91no—
288C2×C3×Q8—31no—
289C2×C3×Q8—31no—
290C22×C3×C4—22no—
291C22×C3×C4—21no—
292C22×C3×C4—21no—
293C22×C3×C4—21no—
294C22×C3×C4C22×D311yescharacteristic
295C22×C3×C4C22×D311yescharacteristic
296C2×#67—62no—
297C2×#67—61no—
298C2×#67—61no—
299#235—62no—
300#235—62no—
301#235—62no—
302#235—62no—
303#235—64no—
304#235—64no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×C4×D3—62no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—62no—
316C2×C4×D3—62no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C3×C4⋊C4—22no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—21no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341#217—21no—
342#217—21no—
343#217—31no—
344#217—31no—
345#217—31no—
346#217—31no—
347#217—61no—
348#217—61no—
349#216—62no—
350#216—62no—
351#215—62no—
352#215—62no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—62no—
358(C2×D3)⋊C4—62no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—62no—
386Dic3⋊C4—62no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—31no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—62no—
402C4×Dic3—62no—
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405C2×C3⋊C8C22×D311yescharacteristic
406C2×C3⋊C8C22×D311yescharacteristic
407Dic12—62no—
408Dic12—62no—
409#204—62no—
410#204—62no—
411C22×C32—21no—
412C22×C32—21no—
413C22×C32—21no—
414C22×C32C22×D411yescharacteristic
415C2×C3⋊D3—22no—
416C2×C3⋊D3—41no—
417C2×C3⋊D3—41no—
418C32×C4—21no—
419C32×C4—41no—
420C32×C4—41no—
421C32×C4C2×#4111yescharacteristic
422C32×C4C2×#4111yescharacteristic
423C3⋊Dic3—22no—
424C3⋊Dic3—21no—
425C3⋊Dic3—21no—
426C3⋊Dic3—21no—
427C3⋊Dic3—21no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3—41no—
432C2×#41—91no—
433C2×Q16—91no—
434C2×Q16—91no—
435C2×SD16—91no—
436C2×SD16—91no—
437C4⋊Q8—91no—
438#126—181no—
439#126—181no—
440#125—91no—
441#125—181no—
442#125—181no—
443C22⋊Q8—31no—
444C22⋊Q8—31no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—91no—
451C4×D4—181no—
452C4×D4—181no—
453#117—91no—
454#117—181no—
455C2×C4⋊C4—181no—
456C2×C4⋊C4D3211yescharacteristic
457#107—31no—
458#107—31no—
459#106—31no—
460#106—31no—
461C4⋊C8—91no—
462C4⋊C8—91no—
463#103—31no—
464#103—31no—
465#103—31no—
466#103—31no—
467#103—91no—
468#103—91no—
469#102—91no—
470#102—91no—
471C22⋊C8—31no—
472C22⋊C8—31no—
473#97—91no—
474C4×C8—91no—
475C23×C3—21no—
476C23×C3D3×D411yescharacteristic
477C23×C3D3×D411yescharacteristic
478C22×D3—62no—
479C22×D3—61no—
480C22×D3—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—61no—
485C2×C3×C4—22no—
486C2×C3×C4—22no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—22no—
492C2×C3×C4—22no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—21no—
498C2×C3×C4—21no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—81no—
504C2×C3×C4—81no—
505C2×C3×C4—82no—
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—68no—
511#67—64no—
512#67—64no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—61no—
528C2×Dic3—61no—
529C2×Dic3—62no—
530C2×Dic3—61no—
531C2×Dic3—61no—
532D12—32no—
533D12—32no—
534D12—62no—
535D12—62no—
536D12—61no—
537D12—61no—
538C4×D3—68no—
539C4×D3—64no—
540C4×D3—64no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—242no—
546C4×D3—242no—
547Dic6—21no—
548Dic6—21no—
549Dic6—21no—
550Dic6—21no—
551Dic6—32no—
552Dic6—32no—
553Dic6—62no—
554Dic6—62no—
555Dic6—61no—
556Dic6—61no—
557C3×C8—61no—
558C3×C8—61no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—21no—
564C3⋊C8—21no—
565C2×C32—41no—
566C2×C32#52511yescharacteristic
567C2×C32#57711yescharacteristic
568C2×C32#57811yescharacteristic
569C3⋊D3—42no—
570#41—182no—
571#41—182no—
572C2×Q8—31no—
573C2×Q8—31no—
574C2×Q8—91no—
575C2×D4—91no—
576C2×D4—181no—
577C22×C4—21no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4C2×D3211yescharacteristic
582Q16—182no—
583Q16—182no—
584SD16—182no—
585SD16—182no—
586C2×C8—31no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—31no—
590C4⋊C4—21no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C4⋊C4C2×D3211yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—91no—
610C22⋊C4—91no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—91no—
614C42—91no—
615C42—181no—
616C42—181no—
617C42—181no—
618C42—181no—
619C22×C3—22no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—21no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3C2×D3×D411yescharacteristic
630C22×C3C2×D3×D411yescharacteristic
631C2×D3—64no—
632C2×D3—62no—
633C2×D3—62no—
634C2×D3—122no—
635C2×D3—122no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C3×C4—22no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—42no—
646C3×C4—42no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—121no—
652C3×C4—121no—
653C3×C4—121no—
654C3×C4—121no—
655C3×C4D3×#4111yescharacteristic
656C3×C4D3×#4111yescharacteristic
657C3×C4D3×#4111yescharacteristic
658C3×C4D3×#4111yescharacteristic
659Dic3—41no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—64no—
664Dic3—62no—
665Dic3—62no—
666Dic3—61no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—61no—
672Dic3—61no—
673Dic3—61no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678C32#312011yescharacteristic, complemented, Sylow
679C23—181no—
680C23#381111yescharacteristic
681Q8—61no—
682Q8—61no—
683Q8—61no—
684Q8—61no—
685Q8—92no—
686Q8—181no—
687D4—92no—
688D4—184no—
689D4—181no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—81no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—91no—
703C2×C4—184no—
704C2×C4—181no—
705C2×C4—721no—
706C2×C4—721no—
707C2×C4#381111yescharacteristic
708C2×C4C22×D3211yescharacteristic
709C8—61no—
710C8—61no—
711C8—61no—
712C8—61no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—42no—
717C2×C3—41no—
718C2×C3—41no—
719C2×C3#565611yescharacteristic
720C2×C3#565611yescharacteristic
721C2×C3#576211yescharacteristic
722C2×C3#576611yescharacteristic
723C2×C3#577511yescharacteristic
724C2×C3#577911yescharacteristic
725D3—124no—
726D3—122no—
727D3—122no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—182no—
732C22—361no—
733C22—361no—
734C22C2×#381111yescharacteristic
735C4—21no—
736C4—41no—
737C4—41no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—121no—
742C4—181no—
743C4—181no—
744C4—181no—
745C4—181no—
746C4—182no—
747C4#6430611yescharacteristic
748C4#6430611yescharacteristic
749C3—21no—
750C3#8141611yescharacteristic, complemented
751C3#8145611yescharacteristic, complemented
752C2—41no—
753C2—362no—
754C2#1059492011yescharacteristic
755C2#1059511511yescharacteristic
756C2#1059533711yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
prime radicalC2×#3828C22
hypercenterC2×C4⋊C4D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #10594826C2semidirect
3. C3×#4971C2semidirect
4. C3×#4970C2semidirect
7. #10591062C2semidirect
8. #10590566C2semidirect
9. #10590565C2semidirect
10. #10590485C2semidirect
11. #10590484C2semidirect
12. #10590483C2semidirect
13. #10590482C2semidirect
14. #10590435C2semidirect
15. #10590434C2semidirect
70. #4971D3semidirect
71. #4970D3semidirect
678. C32#3120semidirect
750. C3#81416semidirect
751. C3#81456semidirect

Maximal subgroups

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

subgroupindex
#105959752
#105948262
C3×#49712
C3×#49702
#105911842
#105910622
#105905662
#105905652
#105904852
#105904842
#105904832
#105904822
#105904352
#105904342
#814563
#814163