Finite Group Databasebeta

← #11870640

Subgroups — #11870640

Order 1152.

847 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
1Dic3×#239C211yesmaximal, characteristic, complemented
2#10594427C211yesmaximal, characteristic, complemented
3#10592489C211yesmaximal, characteristic, complemented
4C3×#4810C211yesmaximal, characteristic
5C3×#4796C211yesmaximal, characteristic, complemented
6#10591604C211yesmaximal, characteristic, complemented
7#10591599C211yesmaximal, characteristic, complemented
8#10591571C211yesmaximal, characteristic, complemented
9#10590777C211yesmaximal, characteristic, complemented
10#10590755C211yesmaximal, characteristic, complemented
11#10590708C211yesmaximal, characteristic, complemented
12#10590656C211yesmaximal, characteristic, complemented
13#10590467C211yesmaximal, characteristic, complemented
14#10590460C211yesmaximal, characteristic, complemented
15#10590449C211yesmaximal, characteristic, complemented
16#81204—31nomaximal
17#80068—31nomaximal
18C2×C3×#239C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21#64096C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×D24C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63898—21no—
28#63898—21no—
29#63898C2211yescharacteristic
30#63898C2211yescharacteristic
31Dic3×D12—21no—
32Dic3×D12C2211yescharacteristic
33#63884—21no—
34#63878—21no—
35C4×D3×Dic3—21no—
36C4×D3×Dic3C2211yescharacteristic
37#63860C2211yescharacteristic
38#63858—21no—
39#63857C2211yescharacteristic
40#63841—21no—
41#63841C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63643C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61Dic3×#41—31no—
62#5691—31no—
63#5600—31no—
64C4×#239—31no—
65C3×#479—31no—
66C3×#449—31no—
67#5239—31no—
68#5166—31no—
69Dic3×SD16—31no—
70#5153—31no—
71Dic3×D8—31no—
72#5066—31no—
73#5035—31no—
74#5028—31no—
75#4888—31no—
76#4872—31no—
77#4866—31no—
78#4852—31no—
79#4844—31no—
80#4833—31no—
81#4810D311yescharacteristic
82#4808—31no—
83#4796D311yescharacteristic, complemented
84#4790—31no—
85#4790—31no—
86#4790—61no—
87#4788—31no—
88#4763—31no—
89#4758—31no—
90#4723—31no—
91#4718—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C3×#239—22no—
95C3×#239—22no—
96C2×C3×D12—21no—
97C2×C3×D12—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3756—22no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D24—22no—
129Dic3⋊Dic3—21no—
130(C2×D3)⋊Dic3—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3716—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#125—31no—
147C3×#121—31no—
148C3×C4×Q8—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151Q8×Dic3—61no—
152Q8×Dic3C2×D311yescharacteristic
153C2×#216—31no—
154C2×#216—31no—
155C2×#216—61no—
156C2×#215C2×D311yescharacteristic
157#936—31no—
158#935—61no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165C2×#214—31no—
166#926—31no—
167#926—61no—
168#924—31no—
169C2×C4×Dic3—31no—
170C2×C4×Dic3—61no—
171C2×D24C2×D311yescharacteristic
172C2×#204—31no—
173#898—61no—
174#897—31no—
175#895C2×D311yescharacteristic
176#894—61no—
177#893—31no—
178#893—31no—
179#893—61no—
180#893—61no—
181#892—31no—
182#892—61no—
183#892—61no—
184#890C2×D311yescharacteristic
185#887—31no—
186#887—31no—
187#887—61no—
188#879—61no—
189#877—61no—
190#875—31no—
191C4×D12—31no—
192C4×D12—61no—
193C42×D3—31no—
194C42×D3—61no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#103—21no—
199C3×#103—31no—
200C3×#103C2×D311yescharacteristic
201C3×#103C2×D311yescharacteristic
202C3×#102—31no—
203C3×C22⋊C8—31no—
204#835C2×D311yescharacteristic
205#832—31no—
206#832—31no—
207#832—31no—
208#830—31no—
209#821—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8C2×D311yescharacteristic
212#818C2×D311yescharacteristic
213#817—31no—
214#816—31no—
215#816—31no—
216#816—31no—
217#816—61no—
218Dic3⋊C8—31no—
219Dic3⋊C8C2×D311yescharacteristic
220C8×Dic3—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—61no—
225#810—31no—
226#809—31no—
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808C2×D311yescharacteristic
231#807—31no—
232#807—31no—
233#807—61no—
234C4⋊(C3⋊C8)—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8#4112yes—
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—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—24no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—42no—
259C3×D12#4112yes—
260C3×C4×D3—24no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263D3×Dic3—22no—
264D3×Dic3—41no—
265D3×Dic3—42no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—31no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—31no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C22×Dic3—31no—
299C22×Dic3—31no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303#239—22no—
304#239—22no—
305C2×D12—21no—
306C2×D12—21no—
307C2×D12C22×D311yescharacteristic
308C2×D12C22×D311yescharacteristic
309C2×C4×D3—21no—
310C2×C4×D3—31no—
311C2×C4×D3—31no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3C22×D311yescharacteristic
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—61no—
319C3×SD16—62no—
320C3×D8—62no—
321C2×C3×C8—21no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8C22×D311yescharacteristic
325C2×C3×C8C22×D311yescharacteristic
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×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—64no—
345#216—62no—
346#216—62no—
347#215—22no—
348#214—62no—
349(C2×D3)⋊C4—21no—
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—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—121no—
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373C4×Dic3—21no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—121no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—22no—
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—21no—
399C2×C3×D3—22no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—22no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3⋊Dic3#13512yes—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—31no—
421C2×Q16—91no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×D8—31no—
425#126—181no—
426#125—31no—
427#124—91no—
428#123—181no—
429C22⋊Q8—91no—
430#121—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442#117—181no—
443C2×C42—91no—
444C2×C42—181no—
445#107—31no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103D3211yescharacteristic
455#102—31no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—91no—
461C4×C8—91no—
462C4×C8—91no—
463C23×C3—31no—
464C23×C3—61no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—21no—
468C22×D3D3×D411yescharacteristic
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—22no—
472C3×Q8—41no—
473C3×Q8#23712yes—
474C3×Q8#23912yes—
475C3×D4—32no—
476C3×D4—64no—
477C3×D4—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—122no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—41no—
490C2×C3×C4—41no—
491C2×C3×C4—64no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
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—62no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3—121no—
514C2×Dic3—122no—
515C2×Dic3—122no—
516C2×Dic3—122no—
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520D12—24no—
521D12—21no—
522D12—21no—
523D12—21no—
524D12—42no—
525D12#23712yes—
526C4×D3—24no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—62no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—121no—
533C4×D3—122no—
534Dic6—62no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—41no—
543C3×C8—61no—
544C3×C8—61no—
545C3⋊C8—21no—
546C3⋊C8—21no—
547C3⋊C8—62no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C2×C32#52511yescharacteristic
551C2×C32C2×#13511yescharacteristic
552C2×C32#57511yescharacteristic
553C3×D3—41no—
554C3×D3—42no—
555C3×D3—81no—
556#41—62no—
557#41—62no—
558C2×Q8—91no—
559C2×Q8C2×D3211yescharacteristic
560C2×D4—31no—
561C2×D4—31no—
562C2×D4—61no—
563C2×D4—61no—
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—91no—
567C22×C4—91no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571Q16—182no—
572SD16—62no—
573SD16—182no—
574D8—62no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4C2×D3211yescharacteristic
589C22⋊C4—61no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C42—31no—
598C42—61no—
599C42—91no—
600C42—91no—
601C42—91no—
602C42—181no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—62no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3C2×D3×D411yescharacteristic
616C22×C3C2×D3×D411yescharacteristic
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—22no—
627C3×C4—22no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—42no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—81no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23711yescharacteristic
640C3×C4C2×#23711yescharacteristic
641C3×C4C2×#23911yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—32no—
647Dic3—32no—
648Dic3—41no—
649Dic3—41no—
650Dic3—62no—
651Dic3—61no—
652Dic3—61no—
653Dic3—121no—
654Dic3—122no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660C32#310211yescharacteristic, complemented, Sylow
661C23—31no—
662C23—61no—
663C23—61no—
664Q8—21no—
665Q8—181no—
666Q8—181no—
667Q8#379612yes—
668D4—32no—
669D4—64no—
670D4—61no—
671D4—61no—
672D4—61no—
673D4—122no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—64no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—91no—
685C2×C4—91no—
686C2×C4—182no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—361no—
690C2×C4—362no—
691C2×C4—362no—
692C2×C4—362no—
693C2×C4C22×D3211yescharacteristic
694C8—21no—
695C8—61no—
696C8—61no—
697C8—181no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—121no—
702C2×C3—122no—
703C2×C3—241no—
704C2×C3#558611yescharacteristic
705C2×C3#562711yescharacteristic
706C2×C3D3×#13511yescharacteristic
707C2×C3D3×#13511yescharacteristic
708C2×C3#577311yescharacteristic
709C2×C3#577711yescharacteristic
710D3—41no—
711D3—42no—
712D3—81no—
713C22—62no—
714C22—61no—
715C22—61no—
716C22—61no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22D32×D411yescharacteristic
723C4—22no—
724C4—41no—
725C4—61no—
726C4—61no—
727C4—61no—
728C4—92no—
729C4—121no—
730C4—121no—
731C4—181no—
732C4—361no—
733C4—361no—
734C4C2×#379611yescharacteristic
735C4D3×#23711yescharacteristic
736C3—21no—
737C3#8006811yescharacteristic, complemented
738C3#8120411yescharacteristic, complemented
739C2—121no—
740C2—122no—
741C2—241no—
742C2#1059405511yescharacteristic
743C2#1059474411yescharacteristic
744C2#1059476411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC3×#4810C2
hypercenter#103D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. Dic3×#239C2semidirect
2. #10594427C2semidirect
3. #10592489C2semidirect
5. C3×#4796C2semidirect
6. #10591604C2semidirect
7. #10591599C2semidirect
8. #10591571C2semidirect
9. #10590777C2semidirect
10. #10590755C2semidirect
11. #10590708C2semidirect
12. #10590656C2semidirect
13. #10590467C2semidirect
14. #10590460C2semidirect
15. #10590449C2semidirect
83. #4796D3semidirect
660. C32#3102semidirect
737. C3#80068semidirect
738. C3#81204semidirect

Maximal subgroups

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

subgroupindex
Dic3×#2392
#105944272
#105924892
C3×#48102
C3×#47962
#105916042
#105915992
#105915712
#105907772
#105907552
#105907082
#105906562
#105904672
#105904602
#105904492
#812043
#800683