Finite Group Databasebeta

← #11889461

Subgroups — #11889461

Order 1152.

797 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594551C211yesmaximal, characteristic
2#10594526C211yesmaximal, characteristic
3#10592556C211yesmaximal, characteristic, complemented
4C3×#4867C211yesmaximal, characteristic, complemented
5C3×#4862C211yesmaximal, characteristic, complemented
6#10590949C211yesmaximal, characteristic, complemented
7#10590948C211yesmaximal, characteristic, complemented
8#10590798C211yesmaximal, characteristic, complemented
9#10590724C211yesmaximal, characteristic
10#10590604C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590568C211yesmaximal, characteristic, complemented
13#10590518C211yesmaximal, characteristic, complemented
14#10590485C211yesmaximal, characteristic, complemented
15#10590447C211yesmaximal, characteristic, complemented
16#81451—31nomaximal
17#80915—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64099C2211yescharacteristic
21#64096C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#897C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63919—21no—
29#63905—21no—
30#63902—21no—
31C4×#625C2211yescharacteristic
32#63899—21no—
33#63899—21no—
34#63873C2211yescharacteristic
35#63861—21no—
36#63856C2211yescharacteristic
37#63847—21no—
38#63843C2211yescharacteristic
39#63841—21no—
40#63841C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#106C2211yescharacteristic
45#63643C2211yescharacteristic
46#63641C2211yescharacteristic
47#63637C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61#5639—31no—
62#5632—31no—
63#5632—31no—
64#5513—31no—
65C3×#483—31no—
66C3×#470—31no—
67#5186—31no—
68#5182—31no—
69#5127—31no—
70#5120—31no—
71#5051—31no—
72#5050—31no—
73#5045—31no—
74C2×#810—31no—
75#4868—31no—
76#4867D311yescharacteristic, complemented
77#4862D311yescharacteristic, complemented
78#4857—31no—
79#4857—31no—
80#4857—61no—
81#4853—31no—
82#4813—31no—
83#4809—31no—
84#4802—31no—
85D3×#103—31no—
86#4797—31no—
87#4797—31no—
88#4795—31no—
89#4789—31no—
90#4739—31no—
91#4730—31no—
92C2×#634C2311yescharacteristic
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
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
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
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⋊Dic3—21no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—41no—
129C3×ΓL(1,𝔽25)—41no—
130#3724—21no—
131#3724—21no—
132#3724—21no—
133#3724D411yescharacteristic
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141#3719—22no—
142#3718—41no—
143D3×C3⋊C8—41no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×M16—31no—
151C3×C22⋊Q8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C2×C3×C4⋊C4—31no—
155#946—31no—
156Q8×Dic3—31no—
157#944—31no—
158#944—31no—
159C2×#216—31no—
160C2×#216—31no—
161C2×#216—31no—
162#929—61no—
163C4×#67—31no—
164C4×#67—31no—
165#926—31no—
166#926—61no—
167#924—31no—
168C22×C3⋊C8—31no—
169C2×Dic12—31no—
170C2×Dic12C2×D311yescharacteristic
171C2×ΓL(1,𝔽25)C2×D311yescharacteristic
172C2×D3×C8—31no—
173#898—61no—
174#897C2×D311yescharacteristic
175#897C2×D311yescharacteristic
176#897C2×D311yescharacteristic
177#896—61no—
178#896—61no—
179#892—31no—
180#892—61no—
181D3×C4⋊C4C2×D311yescharacteristic
182#890—31no—
183#890—31no—
184#890—61no—
185#889—61no—
186#889—61no—
187#888—61no—
188#888—61no—
189#887—31no—
190#887—31no—
191#887—31no—
192#887—61no—
193#883—61no—
194#67⋊C4—61no—
195#67⋊C4—61no—
196#879—61no—
197#878—61no—
198#878—61no—
199C3×#106—21no—
200C3×#106—31no—
201C3×#106C2×D311yescharacteristic
202C3×#106C2×D311yescharacteristic
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×C22⋊C8—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#830—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#816—31no—
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—61no—
220#816C2×D311yescharacteristic
221#815—31no—
222#815—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—61no—
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#810C2×D311yescharacteristic
234#808C2×D311yescharacteristic
235#807—31no—
236#807—31no—
237#807—61no—
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#4112yes—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×C4×D3—21no—
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—42no—
260C3×Dic6—21no—
261C3×Dic6—21no—
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—91no—
279#483—31no—
280#479—91no—
281#470—31no—
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—
292C2×C3×Q8—31no—
293C22×C3×C4—31no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C2×#67—31no—
297C2×#67—31no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300D3×Q8—62no—
301D3×Q8—62no—
302D3×Q8—121no—
303D3×Q8—121no—
304C2×C4×D3—21no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3C22×D311yescharacteristic
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6—31no—
310C2×Dic6—31no—
311C2×Dic6—61no—
312C2×Dic6—62no—
313C2×Dic6—62no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—121no—
319C2×Dic6—121no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C3×Q16—121no—
324C3×M16—121no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—21no—
331C3×C4⋊C4—21no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344#217—31no—
345#217—31no—
346#217—61no—
347#217—61no—
348#216—62no—
349#216—121no—
350#216—121no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358C4⋊Dic3—21no—
359C4⋊Dic3—21no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
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—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4—121no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—121no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—121no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—41no—
402Dic12—62no—
403ΓL(1,𝔽25)—41no—
404D3×C8—121no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3#13712yes—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—22no—
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—91no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—91no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—31no—
441C22⋊Q8—31no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—91no—
450#117—181no—
451C2×C4⋊C4—31no—
452#107—91no—
453#106—31no—
454#106D3211yescharacteristic
455C4⋊C8—91no—
456#103—31no—
457#103—31no—
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466C22⋊C8—31no—
467C22⋊C8—91no—
468#97—91no—
469C23×C3—31no—
470C23×C3—31no—
471C22×D3D3×D411yescharacteristic
472C22×D3D3×D411yescharacteristic
473C3×Q8—61no—
474C3×Q8—61no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—41no—
487C2×C3×C4—41no—
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—61no—
496C2×C3×C4—122no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—62no—
500#67—62no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—122no—
518C2×Dic3—122no—
519C2×Dic3D3×D411yescharacteristic
520C2×Dic3D3×D411yescharacteristic
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—21no—
525C4×D3—42no—
526C4×D3—122no—
527C4×D3—122no—
528Dic6—21no—
529Dic6—21no—
530Dic6—21no—
531Dic6—21no—
532Dic6—21no—
533Dic6—21no—
534Dic6—32no—
535Dic6—32no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—122no—
541Dic6—122no—
542Dic6—122no—
543Dic6—122no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—61no—
548C3×C8—61no—
549C3⋊C8—21no—
550C3⋊C8—21no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—121no—
554C2×C32#54611yescharacteristic
555C2×C32C2×#13711yescharacteristic
556C2×C32#57811yescharacteristic
557C3×D3—22no—
558C3×D3—41no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×Q8—91no—
563C2×Q8—181no—
564C2×Q8—181no—
565C2×Q8—182no—
566C2×Q8—182no—
567C2×Q8—361no—
568C2×Q8—361no—
569C2×D4—91no—
570C22×C4—31no—
571C22×C4—31no—
572C22×C4—61no—
573C22×C4—181no—
574C22×C4—181no—
575Q16—121no—
576Q16—182no—
577Q16—361no—
578M16—121no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—91no—
582C2×C8—361no—
583C2×C8C2×D3211yescharacteristic
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—91no—
590C4⋊C4—91no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4C2×D3211yescharacteristic
599C4⋊C4C2×D3211yescharacteristic
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—91no—
604C22⋊C4—91no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—91no—
608C42—181no—
609C42—181no—
610C42—181no—
611C22×C3—21no—
612C22×C3—32no—
613C22×C3—61no—
614C22×C3—61no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3#91512yes—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—81no—
635C3×C4—81no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4#100411yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643C3×C4#100911yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—62no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—62no—
656Dic3—122no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—241no—
662C32#331211yescharacteristic, complemented, Sylow
663C23—31no—
664C23—31no—
665Q8—61no—
666Q8—61no—
667Q8—61no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—92no—
672Q8—181no—
673Q8—362no—
674Q8—362no—
675D4—182no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—122no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—362no—
694C2×C4—362no—
695C2×C4C22×D3211yescharacteristic
696C8—21no—
697C8—61no—
698C8—61no—
699C8—181no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—62no—
704C2×C3—121no—
705C2×C3#561011yescharacteristic
706C2×C3#565411yescharacteristic
707C2×C3C2×#91511yescharacteristic
708C2×C3D3×#13711yescharacteristic
709C2×C3#577911yescharacteristic
710C2×C3#577911yescharacteristic
711D3—22no—
712D3—41no—
713C22—32no—
714C22—61no—
715C22—61no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22D32×D411yescharacteristic
720C4—41no—
721C4—41no—
722C4—61no—
723C4—61no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—121no—
728C4—182no—
729C4—181no—
730C4—181no—
731C4—361no—
732C4#6430711yescharacteristic
733C4#6431911yescharacteristic
734C3—21no—
735C3#8091511yescharacteristic, complemented
736C3#8145111yescharacteristic, complemented
737C2—62no—
738C2—121no—
739C2#1059461711yescharacteristic
740C2D3×#91511yescharacteristic
741C2#1059475211yescharacteristic
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. #10592556C2semidirect
4. C3×#4867C2semidirect
5. C3×#4862C2semidirect
6. #10590949C2semidirect
7. #10590948C2semidirect
8. #10590798C2semidirect
10. #10590604C2semidirect
11. D3×#810C2semidirect
12. #10590568C2semidirect
13. #10590518C2semidirect
14. #10590485C2semidirect
15. #10590447C2semidirect
76. #4867D3semidirect
77. #4862D3semidirect
662. C32#3312semidirect
735. C3#80915semidirect
736. C3#81451semidirect

Maximal subgroups

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

subgroupindex
#105945512
#105945262
#105925562
C3×#48672
C3×#48622
#105909492
#105909482
#105907982
#105907242
#105906042
D3×#8102
#105905682
#105905182
#105904852
#105904472
#814513
#809153