Finite Group Databasebeta

← #11873169

Subgroups — #11873169

Order 1152.

829 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#10594359C211yesmaximal, characteristic, complemented
2#10594343C211yesmaximal, characteristic, complemented
3#10592551C211yesmaximal, characteristic, complemented
4C3×#4870C211yesmaximal, characteristic, complemented
5C3×#4862C211yesmaximal, characteristic, complemented
6#10590968C211yesmaximal, characteristic
7#10590813C211yesmaximal, characteristic, complemented
8#10590742C211yesmaximal, characteristic, complemented
9#10590698C211yesmaximal, characteristic, complemented
10#10590614C211yesmaximal, characteristic, complemented
11#10590534C211yesmaximal, characteristic, complemented
12#10590487C211yesmaximal, characteristic, complemented
13#10590485C211yesmaximal, characteristic, complemented
14#10590462C211yesmaximal, characteristic, complemented
15#10590423C211yesmaximal, characteristic, complemented
16#81417—31nomaximal
17#81049—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×#3744C2211yescharacteristic
20#64102C2211yescharacteristic
21#64096C2211yescharacteristic
22C3×#897C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#63909C2211yescharacteristic
27#63907—21no—
28C4×#625—21no—
29#63898C2211yescharacteristic
30#63879—21no—
31#63878—21no—
32D3×Dic3⋊C4—21no—
33#63871—21no—
34#63864C2211yescharacteristic
35#63855C2211yescharacteristic
36#63853—21no—
37#63848—21no—
38#63844C2211yescharacteristic
39#63843C2211yescharacteristic
40C2×#3719C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×#106C2211yescharacteristic
44C8×C3⋊Dic3C2211yescharacteristic
45#63637C2211yescharacteristic
46#63636C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#808C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63574C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63567C2211yescharacteristic
58#63564C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61#5733—31no—
62#5643—31no—
63#5546—31no—
64#5504—31no—
65C3×#483—31no—
66C3×#476—31no—
67#5094—31no—
68#5047—31no—
69#5016—31no—
70#4968—31no—
71#4870D311yescharacteristic, complemented
72#4869—31no—
73#4863—31no—
74#4862D311yescharacteristic, complemented
75#4854—31no—
76#4853—31no—
77#4852—31no—
78#4852—31no—
79#4852—61no—
80#4845—31no—
81#4840—31no—
82#4819—31no—
83#4798—31no—
84#4789—31no—
85#4788—31no—
86#4785—31no—
87#4783—31no—
88#4781—31no—
89#4758—31no—
90#4734—31no—
91#4720—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#625—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3752—21no—
111#3750—21no—
112C4×C3⋊Dic3—21no—
113C4×C3⋊Dic3C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115#3744—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126#3724—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3D411yescharacteristic
129Dic3⋊Dic3D411yescharacteristic
130#3722—21no—
131#3722—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3D411yescharacteristic
135(C2×D3)⋊Dic3D411yescharacteristic
136Dic32—21no—
137Dic32—21no—
138#3719—22no—
139#3715—22no—
140#3714—22no—
141#3125—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C3×C4⋊Q8—31no—
145C3×C22⋊Q8—31no—
146C3×C4×D4—31no—
147C2×C3×C4⋊C4—31no—
148#947—31no—
149#947—61no—
150#946—61no—
151Q8×Dic3—31no—
152C2×#216—31no—
153C2×#215—31no—
154D4×Dic3—31no—
155C2×#214—31no—
156C2×#213—31no—
157#930—31no—
158C4×#67—61no—
159C4×#67—61no—
160C4×#67—61no—
161#926—31no—
162C2×Dic3⋊C4—61no—
163C2×Dic12—31no—
164C2×D24—31no—
165C2×#204—31no—
166C2×#204—31no—
167C2×#204—61no—
168#898—61no—
169#898—61no—
170#897—61no—
171#897C2×D311yescharacteristic
172#895—31no—
173#894—61no—
174#893—31no—
175#893—31no—
176#893—31no—
177#893—61no—
178#893C2×D311yescharacteristic
179#892—61no—
180D3×C4⋊C4—61no—
181D3×C4⋊C4C2×D311yescharacteristic
182#888C2×D311yescharacteristic
183#887—31no—
184#887—31no—
185#887—31no—
186#887—31no—
187#887—61no—
188#885—61no—
189#883—61no—
190#67⋊C4—61no—
191#877—61no—
192#875—31no—
193#872—31no—
194C4×Dic6—31no—
195C3×#106—21no—
196C3×#106—31no—
197C3×#106—31no—
198C3×#106C2×D311yescharacteristic
199C3×#106C2×D311yescharacteristic
200C3×C4⋊C8—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#102—31no—
204C3×#102—31no—
205C3×C22⋊C8—31no—
206#830—31no—
207#821—31no—
208#821C2×D311yescharacteristic
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8C2×D311yescharacteristic
211#816—31no—
212#816C2×D311yescharacteristic
213#815—31no—
214#815—31no—
215Dic3⋊C8—31no—
216Dic3⋊C8C2×D311yescharacteristic
217C8×Dic3—31no—
218C8×Dic3—31no—
219C8×Dic3—61no—
220#810—31no—
221#810—31no—
222#810—31no—
223#810—61no—
224#810C2×D311yescharacteristic
225#809—31no—
226#809—31no—
227#809—31no—
228#809—61no—
229#809C2×D311yescharacteristic
230#808—31no—
231#808—31no—
232#808C2×D311yescharacteristic
233#808C2×D311yescharacteristic
234C4⋊(C3⋊C8)—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4×C3⋊D3—81no—
247#634—21no—
248#634#4112yes—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12#4112yes—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—81no—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—81no—
264#626—81no—
265#625—24no—
266D3×Dic3—24no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#483—31no—
275#481—91no—
276#476—31no—
277#475—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#442—91no—
283#441—91no—
284C4×SD16—91no—
285C4×SD16—91no—
286#433—91no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×D4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—61no—
292C22×C3×C4—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298#237—62no—
299#237—62no—
300#235—62no—
301#235—62no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—21no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—121no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—21no—
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C2×C3×C8—21no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C2×C3×C8C22×D311yescharacteristic
324C2×C3×C8C22×D311yescharacteristic
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—31no—
339#217—31no—
340#217—31no—
341#217—61no—
342#216—62no—
343#215—62no—
344#214—62no—
345#213—62no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—31no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366Dic3⋊C4—21no—
367Dic3⋊C4—21no—
368Dic3⋊C4—31no—
369Dic3⋊C4—31no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—121no—
386C4×Dic3C22×D311yescharacteristic
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392Dic12—62no—
393D24—62no—
394#204—62no—
395#204—62no—
396#204—64no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—22no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—22no—
413C3⋊Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—91no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—91no—
425C4⋊Q8—31no—
426#126—181no—
427#124—91no—
428#124—181no—
429#123—181no—
430C22⋊Q8—31no—
431C22⋊Q8—181no—
432#121—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—91no—
442#117—181no—
443C2×C4⋊C4—31no—
444C2×C4⋊C4—181no—
445#106—31no—
446#106—31no—
447#106—91no—
448#106D3211yescharacteristic
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3D3×D411yescharacteristic
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—241no—
473C3×D4—32no—
474C3×D4—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—41no—
484C2×C3×C4—41no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—241no—
491C2×C3×C4—241no—
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—64no—
495#67—64no—
496#67—241no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—64no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—241no—
511C2×Dic3D3×D411yescharacteristic
512C2×Dic3D3×D411yescharacteristic
513C2×Dic3D3×D411yescharacteristic
514D12—21no—
515D12—62no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—121no—
521D12—241no—
522D12#23912yes—
523C4×D3—21no—
524C4×D3—21no—
525C4×D3—64no—
526C4×D3—81no—
527C4×D3—81no—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—242no—
531C4×D3—241no—
532Dic6—21no—
533Dic6—21no—
534Dic6—32no—
535Dic6—32no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—81no—
540Dic6—121no—
541C3×C8—22no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—61no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—121no—
551C2×C32#52511yescharacteristic
552C2×C32#57711yescharacteristic
553C2×C32#57711yescharacteristic
554C3⋊D3—81no—
555C3×D3—41no—
556C3×D3—42no—
557#41—182no—
558#41—182no—
559C2×Q8—31no—
560C2×Q8—61no—
561C2×Q8—91no—
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—181no—
566C22×C4—31no—
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—182no—
573SD16—182no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—91no—
595C22⋊C4—91no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—91no—
603C42—181no—
604C42—181no—
605C42—181no—
606C22×C3—21no—
607C22×C3—62no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C2×D3×D411yescharacteristic
614C22×C3C2×D3×D411yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—22no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—122no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—241no—
629C2×D3—241no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—81no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23911yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—62no—
655Dic3—62no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—62no—
661Dic3—122no—
662Dic3—121no—
663C32#312511yescharacteristic, complemented, Sylow
664C23—31no—
665C23—61no—
666C23—181no—
667Q8—61no—
668Q8—61no—
669Q8—92no—
670Q8—181no—
671Q8—241no—
672D4—32no—
673D4—61no—
674D4—184no—
675D4—181no—
676D4—181no—
677D4—721no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—184no—
691C2×C4—181no—
692C2×C4—241no—
693C2×C4—241no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—61no—
699C8—61no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—122no—
705C2×C3—121no—
706C2×C3#562711yescharacteristic
707C2×C3#565611yescharacteristic
708C2×C3#576211yescharacteristic
709C2×C3#576211yescharacteristic
710C2×C3#577511yescharacteristic
711C2×C3#577811yescharacteristic
712D3—41no—
713D3—42no—
714D3—242no—
715D3—241no—
716D3—241no—
717C22—61no—
718C22—62no—
719C22—61no—
720C22—61no—
721C22—121no—
722C22—121no—
723C22—361no—
724C22—361no—
725C22—361no—
726C22D32×D411yescharacteristic
727C4—41no—
728C4—41no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—182no—
736C4—181no—
737C4—181no—
738C4#6430611yescharacteristic
739C4D3×#23911yescharacteristic
740C3—21no—
741C3#8104911yescharacteristic, complemented
742C3#8141711yescharacteristic, complemented
743C2—121no—
744C2—122no—
745C2—721no—
746C2#1059461511yescharacteristic
747C2#1059474811yescharacteristic
748C2#1059475411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10590968C2
hypercenter#106D32
hypocenterC32#3125
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
1. #10594359C2semidirect
2. #10594343C2semidirect
3. #10592551C2semidirect
4. C3×#4870C2semidirect
5. C3×#4862C2semidirect
7. #10590813C2semidirect
8. #10590742C2semidirect
9. #10590698C2semidirect
10. #10590614C2semidirect
11. #10590534C2semidirect
12. #10590487C2semidirect
13. #10590485C2semidirect
14. #10590462C2semidirect
15. #10590423C2semidirect
71. #4870D3semidirect
74. #4862D3semidirect
663. C32#3125semidirect
741. C3#81049semidirect
742. C3#81417semidirect

Maximal subgroups

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

subgroupindex
#105943592
#105943432
#105925512
C3×#48702
C3×#48622
#105909682
#105908132
#105907422
#105906982
#105906142
#105905342
#105904872
#105904852
#105904622
#105904232
#814173
#810493