Finite Group Databasebeta

← #11872986

Subgroups — #11872986

Order 1152.

824 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593887C211yesmaximal, characteristic, complemented
2#10593877C211yesmaximal, characteristic, complemented
3#10592544C211yesmaximal, characteristic, complemented
4C3×#4846C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590969C211yesmaximal, characteristic, complemented
7#10590968C211yesmaximal, characteristic
8#10590807C211yesmaximal, characteristic, complemented
9#10590773C211yesmaximal, characteristic, complemented
10#10590747C211yesmaximal, characteristic, complemented
11#10590745C211yesmaximal, characteristic, complemented
12#10590684C211yesmaximal, characteristic, complemented
13#10590679C211yesmaximal, characteristic, complemented
14#10590366C211yesmaximal, characteristic, complemented
15#10590284C211yesmaximal, characteristic, complemented
16#80953—31nomaximal
17#79388—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×#3746C2211yescharacteristic
20C2×#3744C2211yescharacteristic
21#64084C2211yescharacteristic
22C4×#634C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#872C2211yescharacteristic
25C3×#869C2211yescharacteristic
26#63909C2211yescharacteristic
27#63907—21no—
28#63902—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31D3×C4⋊Dic3C2211yescharacteristic
32#63888—21no—
33#63879—21no—
34#63878—21no—
35D3×Dic3⋊C4—21no—
36#63857C2211yescharacteristic
37#63854—21no—
38#63848—21no—
39#63844C2211yescharacteristic
40#63844C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63643C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#818C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63567C2211yescharacteristic
60#63564C2211yescharacteristic
61#5733—31no—
62#5546—31no—
63#5534—31no—
64#5523—31no—
65C3×#474—31no—
66C3×#433—31no—
67#5091—31no—
68#5016—31no—
69#4889—31no—
70#4884—31no—
71#4882—31no—
72#4873—31no—
73#4850—31no—
74#4846D311yescharacteristic, complemented
75#4845—31no—
76#4845—31no—
77#4845—61no—
78#4844—31no—
79#4840D311yescharacteristic, complemented
80#4783—31no—
81#4781—31no—
82#4757—31no—
83#4756—31no—
84#4736—31no—
85#4734—31no—
86#4733—31no—
87#4722—31no—
88#4710—31no—
89#4710—31no—
90C4×Dic12—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×#626—21no—
100C2×#625—21no—
101C2×#624—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3—21no—
115#3746—22no—
116#3744—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3716—22no—
140#3714—22no—
141#3124—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C3×C4⋊Q8—31no—
145C3×C4×D4—31no—
146C3×#117—31no—
147#947—61no—
148#946—61no—
149D4×Dic3—31no—
150C2×#214—31no—
151C2×#213—31no—
152#930—31no—
153C4×#67—61no—
154C2×C4⋊Dic3—31no—
155#924—31no—
156C2×Dic3⋊C4—61no—
157C2×Dic12—31no—
158C2×Dic12—31no—
159C2×Dic12—61no—
160C2×D24—31no—
161C2×#204—31no—
162C2×#204—31no—
163C2×#204—31no—
164C2×#204—61no—
165#898—61no—
166#898—61no—
167#897—31no—
168#896—61no—
169#895—31no—
170#894—61no—
171#893—31no—
172#892—61no—
173D3×C4⋊C4—31no—
174D3×C4⋊C4—61no—
175#887—31no—
176#887—31no—
177#885—61no—
178#883—61no—
179#67⋊C4—61no—
180#67⋊C4—61no—
181#67⋊C4—61no—
182#877—61no—
183#875—31no—
184#875—31no—
185#875—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12C2×D311yescharacteristic
189#872C2×D311yescharacteristic
190#869C2×D311yescharacteristic
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C4×Dic6—31no—
195C4×Dic6—61no—
196C3×#107—31no—
197C3×#107—31no—
198C3×C4⋊C8—21no—
199C3×C4⋊C8—31no—
200C3×C4⋊C8C2×D311yescharacteristic
201C3×C4⋊C8C2×D311yescharacteristic
202C3×#102—31no—
203C3×#102—31no—
204C3×C22⋊C8—31no—
205C3×C22⋊C8—31no—
206C3×#97—31no—
207C3×C4×C8—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—61no—
212#821C2×D311yescharacteristic
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818C2×D311yescharacteristic
219#818C2×D311yescharacteristic
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—61no—
226#815C2×D311yescharacteristic
227C8×Dic3C2×D311yescharacteristic
228#810—31no—
229#810—31no—
230#810—31no—
231#809—31no—
232#807—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246#634—21no—
247#634—21no—
248#634—21no—
249#634#4112yes—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—81no—
261C3×Dic6—81no—
262#626—81no—
263#625—24no—
264#624—81no—
265D3×Dic3—24no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—31no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—31no—
287C2×C3×Q8—61no—
288C2×C3×D4—31no—
289C22×C3×C4—31no—
290C22×C3×C4—61no—
291C2×#67—61no—
292C2×#67—61no—
293C2×#67—61no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297#237—62no—
298#237—62no—
299#235—62no—
300#235—62no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12C22×D311yescharacteristic
306C2×C4×D3—21no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3C22×D311yescharacteristic
313C2×Dic6—21no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×C3×C8—21no—
321C2×C3×C8—21no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8C22×D311yescharacteristic
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C22⋊C4—31no—
335C3×C22⋊C4—31no—
336C3×C22⋊C4—61no—
337C3×C42—21no—
338C3×C42—31no—
339C3×C42C22×D311yescharacteristic
340C3×C42C22×D311yescharacteristic
341#217—61no—
342#217—61no—
343#214—62no—
344#213—62no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
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—121no—
357(C2×D3)⋊C4—121no—
358(C2×D3)⋊C4D1211yescharacteristic
359(C2×D3)⋊C4D1211yescharacteristic
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—121no—
378Dic3⋊C4D1211yescharacteristic
379Dic3⋊C4D1211yescharacteristic
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—121no—
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390Dic12—62no—
391Dic12—62no—
392Dic12—122no—
393D24—62no—
394#204—62no—
395#204—62no—
396#204—62no—
397#204—122no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—22no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4C2×#4111yescharacteristic
411C32×C4C2×#4111yescharacteristic
412C3⋊Dic3—22no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C2×#41—91no—
422C2×Q16—91no—
423C2×SD16—91no—
424C2×SD16—91no—
425C2×D8—91no—
426C4⋊Q8—31no—
427#126—181no—
428#124—91no—
429#124—181no—
430#123—181no—
431C22⋊Q8—91no—
432C22⋊Q8—181no—
433#121—91no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—31no—
443#117—181no—
444C2×C4⋊C4—91no—
445C2×C4⋊C4—181no—
446#107—31no—
447#107—31no—
448#107—91no—
449#107—91no—
450C4⋊C8—31no—
451C4⋊C8D3211yescharacteristic
452#103—91no—
453#103—91no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—31no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—31no—
462#97—31no—
463C4×C8—31no—
464C23×C3—31no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C22×D3C2×D1211yescharacteristic
471C3×Q8—241no—
472C3×D4—32no—
473C3×D4—61no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—241no—
486C2×C3×C4C2×D1211yescharacteristic
487C2×C3×C4C2×D1211yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492#67—64no—
493#67—64no—
494#67—241no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—64no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—121no—
508C2×Dic3—241no—
509C2×Dic3—241no—
510C2×Dic3C2×D1211yescharacteristic
511C2×Dic3C2×D1211yescharacteristic
512C2×Dic3C2×D1211yescharacteristic
513D12—21no—
514D12—61no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—121no—
519D12—121no—
520D12—241no—
521D12#23912yes—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—64no—
525C4×D3—81no—
526C4×D3—241no—
527C4×D3—241no—
528C4×D3—241no—
529C4×D3—241no—
530Dic6—32no—
531Dic6—32no—
532Dic6—62no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—81no—
540Dic6—121no—
541Dic6—121no—
542Dic6—121no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—41no—
549C3×C8—61no—
550C3×C8—61no—
551C3⋊C8—21no—
552C3⋊C8—21no—
553C2×C32#52511yescharacteristic
554C2×C32#57611yescharacteristic
555C2×C32#57811yescharacteristic
556C3⋊D3—81no—
557C3×D3—41no—
558C3×D3—42no—
559#41—182no—
560#41—182no—
561C2×Q8—61no—
562C2×Q8—91no—
563C2×Q8—91no—
564C2×D4—31no—
565C2×D4—91no—
566C2×D4—181no—
567C2×D4—181no—
568C22×C4—31no—
569C22×C4—61no—
570C22×C4—181no—
571C22×C4—181no—
572C22×C4—181no—
573C22×C4—181no—
574Q16—182no—
575SD16—182no—
576SD16—182no—
577D8—182no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8C2×D3211yescharacteristic
581C2×C8C2×D3211yescharacteristic
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—31no—
587C4⋊C4—61no—
588C4⋊C4—91no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C22⋊C4—31no—
595C22⋊C4—31no—
596C22⋊C4—61no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C42—31no—
604C42—181no—
605C42—181no—
606C42—181no—
607C42C2×D3211yescharacteristic
608C22×C3—21no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—62no—
612C22×C3—61no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3C22×D1211yescharacteristic
616C22×C3C2×D3×D411yescharacteristic
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4C2×#23911yescharacteristic
647C3×C4D3×#4111yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4D3×#4111yescharacteristic
650Dic3—21no—
651Dic3—21no—
652Dic3—21no—
653Dic3—41no—
654Dic3—41no—
655Dic3—41no—
656Dic3—62no—
657Dic3—62no—
658Dic3—122no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—241no—
664Dic3—241no—
665C32#312411yescharacteristic, complemented, Sylow
666C23—31no—
667C23—61no—
668C23—181no—
669Q8—92no—
670Q8—181no—
671Q8—181no—
672Q8—181no—
673Q8—241no—
674D4—32no—
675D4—61no—
676D4—184no—
677D4—181no—
678D4—181no—
679D4—721no—
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—184no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—241no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4D3×D1211yescharacteristic
697C2×C4D3×D1211yescharacteristic
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—21no—
701C8—61no—
702C8—61no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—122no—
707C2×C3—121no—
708C2×C3#552411yescharacteristic
709C2×C3#562711yescharacteristic
710C2×C3#575211yescharacteristic
711C2×C3#575311yescharacteristic
712C2×C3#575711yescharacteristic
713C2×C3#577911yescharacteristic
714D3—41no—
715D3—42no—
716D3—241no—
717D3—241no—
718D3—481no—
719C22—61no—
720C22—62no—
721C22—61no—
722C22—61no—
723C22—121no—
724C22—121no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22C2×D3×D1211yescharacteristic
729C4—21no—
730C4—21no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—182no—
738C4—361no—
739C4—361no—
740C4#6431211yescharacteristic
741C4D3×#23911yescharacteristic
742C3—21no—
743C3#7938811yescharacteristic, complemented
744C3#8095311yescharacteristic, complemented
745C2—121no—
746C2—122no—
747C2—721no—
748C2#1059462711yescharacteristic
749C2#1059467811yescharacteristic
750C2#1059472111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radical#10590968C2
hypercenterC4⋊C8D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593887C2semidirect
2. #10593877C2semidirect
3. #10592544C2semidirect
4. C3×#4846C2semidirect
5. C3×#4840C2semidirect
6. #10590969C2semidirect
8. #10590807C2semidirect
9. #10590773C2semidirect
10. #10590747C2semidirect
11. #10590745C2semidirect
12. #10590684C2semidirect
13. #10590679C2semidirect
14. #10590366C2semidirect
15. #10590284C2semidirect
74. #4846D3semidirect
79. #4840D3semidirect
665. C32#3124semidirect
743. C3#79388semidirect
744. C3#80953semidirect

Maximal subgroups

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

subgroupindex
#105938872
#105938772
#105925442
C3×#48462
C3×#48402
#105909692
#105909682
#105908072
#105907732
#105907472
#105907452
#105906842
#105906792
#105903662
#105902842
#809533
#793883