Finite Group Databasebeta

← #11889467

Subgroups — #11889467

Order 1152.

806 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594550C211yesmaximal, characteristic
2#10594526C211yesmaximal, characteristic
3#10592552C211yesmaximal, characteristic, complemented
4C3×#4868C211yesmaximal, characteristic, complemented
5C3×#4862C211yesmaximal, characteristic, complemented
6#10590952C211yesmaximal, characteristic, complemented
7#10590952C211yesmaximal, characteristic, complemented
8#10590904C211yesmaximal, characteristic, complemented
9#10590725C211yesmaximal, characteristic
10#10590600C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590587C211yesmaximal, characteristic, complemented
13#10590579C211yesmaximal, characteristic, complemented
14#10590566C211yesmaximal, characteristic, complemented
15#10590434C211yesmaximal, characteristic, complemented
16#81527—31nomaximal
17#81451—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21#64096C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#892C2211yescharacteristic
26C3×D3×C4⋊C4C2211yescharacteristic
27#63919—21no—
28#63905—21no—
29#63902—21no—
30C4×#625C2211yescharacteristic
31#63899—21no—
32#63899—21no—
33#63873C2211yescharacteristic
34#63872C2211yescharacteristic
35#63867—21no—
36#63862—21no—
37#63857C2211yescharacteristic
38#63857C2211yescharacteristic
39#63855—21no—
40C2×#3719C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3711C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#106C2211yescharacteristic
45#63642C2211yescharacteristic
46#63637C2211yescharacteristic
47#63637C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#808C2211yescharacteristic
55C3×#807C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63565C2211yescharacteristic
60#63565C2211yescharacteristic
61#5632—31no—
62#5632—31no—
63#5529—31no—
64#5513—31no—
65C3×#485—31no—
66C3×#483—31no—
67#5052—31no—
68#5051—31no—
69#5004—31no—
70C2×#810—31no—
71#4887—31no—
72#4877—31no—
73#4868D311yescharacteristic, complemented
74#4867—31no—
75#4862D311yescharacteristic, complemented
76#4857—31no—
77#4853—31no—
78#4853—31no—
79#4853—61no—
80#4809—31no—
81#4809—31no—
82#4802—31no—
83D3×#103—31no—
84#4797—31no—
85#4797—31no—
86#4795—31no—
87#4795—31no—
88#4739—31no—
89#4739—31no—
90#4730—31no—
91#4728—31no—
92C2×#634C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#627—21no—
101C2×#625D411yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104D3×Dic6—22no—
105D3×Dic6—22no—
106D3×Dic6—41no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3750—21no—
112#3750—21no—
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117#3746—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724—21no—
131#3724D411yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140#3719—41no—
141#3719—41no—
142#3711—41no—
143D3×C3⋊C8—41no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×#117—31no—
152C2×C3×C4⋊C4—31no—
153#944—31no—
154#944—31no—
155C2×#216—31no—
156C2×#216—31no—
157#929—61no—
158C4×#67—31no—
159C4×#67—31no—
160#926—61no—
161#924—31no—
162#924—31no—
163C2×#208—31no—
164C22×C3⋊C8—31no—
165C2×Dic12—31no—
166C2×Dic12—31no—
167C2×Dic12—31no—
168C2×Dic12—31no—
169C2×Dic12—61no—
170C2×ΓL(1,𝔽25)—31no—
171C2×D3×C8—31no—
172#898—61no—
173#897—31no—
174#897—31no—
175#897C2×D311yescharacteristic
176#897C2×D311yescharacteristic
177#896—61no—
178#896—61no—
179#892C2×D311yescharacteristic
180D3×C4⋊C4C2×D311yescharacteristic
181#890—31no—
182#890—31no—
183#889—61no—
184#888—61no—
185#888—61no—
186#887—31no—
187#887—31no—
188#887—31no—
189#887—31no—
190#887—61no—
191#887—61no—
192#883—61no—
193#67⋊C4—61no—
194#67⋊C4—61no—
195#879—61no—
196#878—61no—
197#878—61no—
198#872—61no—
199#870—61no—
200C3×#107—31no—
201C3×#106—21no—
202C3×#106—31no—
203C3×#106C2×D311yescharacteristic
204C3×#106C2×D311yescharacteristic
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×C22⋊C8—31no—
210C3×C22⋊C8—31no—
211#835—31no—
212#835—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215#816—31no—
216#816—31no—
217#816C2×D311yescharacteristic
218#816C2×D311yescharacteristic
219#815—31no—
220#815—31no—
221#815—61no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224#810—31no—
225#810—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—61no—
233#810—61no—
234#810C2×D311yescharacteristic
235#810C2×D311yescharacteristic
236#808C2×D311yescharacteristic
237#807C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247#634—21no—
248#634—21no—
249#634—21no—
250#634#4112yes—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266#627—42no—
267#627—42no—
268#625—22no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—31no—
279#483—31no—
280#479—91no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C2×#67—31no—
296C2×#67—31no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299D3×Q8—62no—
300D3×Q8—62no—
301D3×Q8—121no—
302D3×Q8—121no—
303C2×C4×D3—21no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3C22×D311yescharacteristic
307C2×C4×D3C22×D311yescharacteristic
308C2×Dic6—31no—
309C2×Dic6—31no—
310C2×Dic6—31no—
311C2×Dic6—31no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—62no—
315C2×Dic6—62no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—121no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C2×C3×C8—21no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
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⋊C4—61no—
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—61no—
344#217—31no—
345#217—31no—
346#217—61no—
347#217—61no—
348#216—121no—
349#216—121no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365Dic3⋊C4—21no—
366Dic3⋊C4—31no—
367Dic3⋊C4—31no—
368Dic3⋊C4—61no—
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—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—121no—
381Dic3⋊C4—121no—
382C4×Dic3—21no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—121no—
391C4×Dic3—121no—
392#208—121no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8—121no—
397C2×C3⋊C8C22×D311yescharacteristic
398C2×C3⋊C8C22×D311yescharacteristic
399Dic12—62no—
400Dic12—62no—
401Dic12—64no—
402Dic12—121no—
403Dic12—121no—
404ΓL(1,𝔽25)—121no—
405D3×C8—121no—
406C22×C32C22×D411yescharacteristic
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3#13712yes—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—22no—
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3⋊Dic3—41no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C22×Q8—91no—
428C22×Q8—91no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×Q16—91no—
432C2×M16—91no—
433C22×C8—91no—
434C4⋊Q8—91no—
435C4⋊Q8—181no—
436#126—181no—
437#125—91no—
438#125—181no—
439#123—181no—
440C22⋊Q8—31no—
441C22⋊Q8—31no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—181no—
445C22⋊Q8—181no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×D4—91no—
449C4×D4—181no—
450#117—31no—
451#117—181no—
452C2×C4⋊C4—31no—
453#107—31no—
454#106—31no—
455#106D3211yescharacteristic
456C4⋊C8—91no—
457#103—31no—
458#103—31no—
459#103—31no—
460#103—31no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467C22⋊C8—31no—
468C22⋊C8—31no—
469#97—91no—
470C23×C3—31no—
471C23×C3—31no—
472C22×D3D3×D411yescharacteristic
473C22×D3D3×D411yescharacteristic
474C3×Q8—61no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—122no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—62no—
499#67—62no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3—122no—
517C2×Dic3—122no—
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520C4×D3—21no—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—42no—
525C4×D3—122no—
526C4×D3—122no—
527Dic6—21no—
528Dic6—21no—
529Dic6—21no—
530Dic6—21no—
531Dic6—32no—
532Dic6—32no—
533Dic6—62no—
534Dic6—61no—
535Dic6—61no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543Dic6—122no—
544Dic6—122no—
545Dic6—122no—
546Dic6—122no—
547C3×C8—22no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—61no—
551C3×C8—61no—
552C3⋊C8—21no—
553C3⋊C8—21no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—121no—
557C2×C32#54611yescharacteristic
558C2×C32C2×#13711yescharacteristic
559C2×C32#57811yescharacteristic
560C3×D3—22no—
561C3×D3—41no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—91no—
565C2×Q8—91no—
566C2×Q8—181no—
567C2×Q8—181no—
568C2×Q8—182no—
569C2×Q8—182no—
570C2×Q8—361no—
571C2×Q8—361no—
572C2×D4—91no—
573C22×C4—31no—
574C22×C4—31no—
575C22×C4—61no—
576C22×C4—181no—
577C22×C4—181no—
578Q16—182no—
579Q16—361no—
580Q16—361no—
581M16—361no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—91no—
585C2×C8—361no—
586C2×C8C2×D3211yescharacteristic
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—91no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4C2×D3211yescharacteristic
602C4⋊C4C2×D3211yescharacteristic
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—91no—
607C22⋊C4—91no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—61no—
611C42—91no—
612C42—181no—
613C42—181no—
614C22×C3—21no—
615C22×C3—32no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—21no—
628C2×D3#91512yes—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—81no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4D3×#4111yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4#100911yescharacteristic
646C3×C4#100911yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—62no—
654Dic3—62no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—122no—
660Dic3—121no—
661Dic3—121no—
662Dic3—122no—
663Dic3—121no—
664Dic3—121no—
665C32#331211yescharacteristic, complemented, Sylow
666C23—31no—
667C23—31no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—61no—
672Q8—92no—
673Q8—181no—
674Q8—181no—
675Q8—181no—
676Q8—362no—
677Q8—362no—
678D4—182no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—122no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—362no—
697C2×C4—362no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—62no—
707C2×C3—121no—
708C2×C3#565411yescharacteristic
709C2×C3#565411yescharacteristic
710C2×C3C2×#91511yescharacteristic
711C2×C3#577111yescharacteristic
712C2×C3D3×#13711yescharacteristic
713C2×C3#577911yescharacteristic
714D3—22no—
715D3—41no—
716C22—32no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22—61no—
722C22D32×D411yescharacteristic
723C4—41no—
724C4—41no—
725C4—61no—
726C4—61no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—182no—
732C4—181no—
733C4—181no—
734C4—361no—
735C4#6430611yescharacteristic
736C4#6432011yescharacteristic
737C3—21no—
738C3#8145111yescharacteristic, complemented
739C3#8152711yescharacteristic, complemented
740C2—62no—
741C2—121no—
742C2#1059461611yescharacteristic
743C2D3×#91511yescharacteristic
744C2#1059475611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC2×#625D4
hypercenter#106D32
hypocenterC32#3312
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
3. #10592552C2semidirect
4. C3×#4868C2semidirect
5. C3×#4862C2semidirect
6. #10590952C2semidirect
7. #10590952C2semidirect
8. #10590904C2semidirect
10. #10590600C2semidirect
11. D3×#810C2semidirect
12. #10590587C2semidirect
13. #10590579C2semidirect
14. #10590566C2semidirect
15. #10590434C2semidirect
73. #4868D3semidirect
75. #4862D3semidirect
665. C32#3312semidirect
738. C3#81451semidirect
739. C3#81527semidirect

Maximal subgroups

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

subgroupindex
#105945502
#105945262
#105925522
C3×#48682
C3×#48622
#105909522
#105909042
#105907252
#105906002
D3×#8102
#105905872
#105905792
#105905662
#105904342
#815273
#814513