Finite Group Databasebeta

← #11870668

Subgroups — #11870668

Order 1152.

837 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#10594426C211yesmaximal, characteristic, complemented
2#10594358C211yesmaximal, characteristic, complemented
3#10592556C211yesmaximal, characteristic, complemented
4C3×#4866C211yesmaximal, characteristic, complemented
5C3×#4852C211yesmaximal, characteristic, complemented
6#10590960C211yesmaximal, characteristic, complemented
7#10590750C211yesmaximal, characteristic, complemented
8#10590744C211yesmaximal, characteristic, complemented
9#10590655C211yesmaximal, characteristic, complemented
10#10590613C211yesmaximal, characteristic
11#10590538C211yesmaximal, characteristic, complemented
12#10590521C211yesmaximal, characteristic, complemented
13#10590481C211yesmaximal, characteristic, complemented
14#10590473C211yesmaximal, characteristic, complemented
15#10590452C211yesmaximal, characteristic, complemented
16#81348—31nomaximal
17#79652—31nomaximal
18C2×#3795C2211yescharacteristic
19#64099C2211yescharacteristic
20#64096C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×#895C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#892C2211yescharacteristic
25C3×#887C2211yescharacteristic
26#63902—21no—
27#63898C2211yescharacteristic
28Dic3×D12—21no—
29Dic3×D12C2211yescharacteristic
30#63884—21no—
31#63879—21no—
32#63877—21no—
33#63877—21no—
34C4×D3×Dic3—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63863C2211yescharacteristic
37#63861—21no—
38#63856C2211yescharacteristic
39#63844C2211yescharacteristic
40C2×#3719C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×#106C2211yescharacteristic
44#63643C2211yescharacteristic
45#63641C2211yescharacteristic
46#63637C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63573C2211yescharacteristic
56#63572C2211yescharacteristic
57#63565C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5600—31no—
62#5580—31no—
63C4×#237—31no—
64#5522—31no—
65C3×#482—31no—
66C3×C4×SD16—31no—
67#5173—31no—
68#5165—31no—
69#5037—31no—
70C4×#216—31no—
71C4×#213—31no—
72#4996—31no—
73#4891—31no—
74#4873—31no—
75#4866D311yescharacteristic, complemented
76#4857—31no—
77#4857—31no—
78#4857—61no—
79#4852D311yescharacteristic, complemented
80#4815—31no—
81#4798—31no—
82#4787—31no—
83#4781—31no—
84#4767—31no—
85#4763—31no—
86#4758—31no—
87#4756—31no—
88#4733—31no—
89#4718—31no—
90C4×#204—31no—
91#4685—31no—
92C2×#634C2311yescharacteristic
93C2×C3×D12—21no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#625—21no—
100C2×D3×Dic3—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3D411yescharacteristic
104C2×D3×Dic3D411yescharacteristic
105#3795—22no—
106#3795—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×#204—22no—
128#3724—21no—
129#3724—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—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3719—22no—
139#3716—22no—
140#3713—22no—
141#3102—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C2×C3×SD16—31no—
145C3×#121—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×#117—31no—
149#947—31no—
150#946—31no—
151C2×#216—31no—
152#936—31no—
153#935—61no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—61no—
157C2×#214—31no—
158C2×#213—31no—
159C2×#213—31no—
160C4×#67—61no—
161#924—31no—
162C2×C4×Dic3—31no—
163C2×C4×Dic3—61no—
164C2×Dic12—31no—
165C2×#204—31no—
166C2×#204C2×D311yescharacteristic
167#898—61no—
168#895C2×D311yescharacteristic
169#894—61no—
170#893—31no—
171#893C2×D311yescharacteristic
172#892C2×D311yescharacteristic
173#890—31no—
174#890—31no—
175#890—61no—
176#887—31no—
177#887—31no—
178#887—31no—
179#887—61no—
180#887C2×D311yescharacteristic
181#67⋊C4—61no—
182#67⋊C4—61no—
183#67⋊C4—61no—
184#879—61no—
185#877—61no—
186#877—61no—
187C4×D12—31no—
188C4×D12—61no—
189#872—61no—
190#872—61no—
191C42×D3—31no—
192C42×D3—61no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#106—21no—
196C3×#106C2×D311yescharacteristic
197C3×#106C2×D311yescharacteristic
198C3×#103—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×C22⋊C8—31no—
203C3×C4×C8—31no—
204#835—31no—
205#832—31no—
206#830—31no—
207#821—31no—
208#821C2×D311yescharacteristic
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8C2×D311yescharacteristic
211#817—31no—
212#816—31no—
213#816—31no—
214#816—61no—
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—61no—
220C8×Dic3—31no—
221C8×Dic3C2×D311yescharacteristic
222#810—31no—
223#810—31no—
224#810—31no—
225#810—61no—
226#810C2×D311yescharacteristic
227#809C2×D311yescharacteristic
228#809C2×D311yescharacteristic
229#808—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233#807C2×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⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245#634—21no—
246#634#4112yes—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—42no—
256C3×D12#4112yes—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—42no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262#625—24no—
263D3×Dic3—24no—
264D3×Dic3—22no—
265D3×Dic3—41no—
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—31no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—31no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C2×C3×Q8—31no—
288C2×C3×D4—31no—
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C22×C3×C4—31no—
292C22×C3×C4—61no—
293C2×#67—61no—
294C2×#67—61no—
295C22×Dic3—31no—
296C22×Dic3—31no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300#237—62no—
301#237—62no—
302#235—62no—
303#235—62no—
304C2×D12—21no—
305C2×D12C22×D311yescharacteristic
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—31no—
309C2×C4×D3—31no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3C22×D311yescharacteristic
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6C22×D311yescharacteristic
318C3×SD16—62no—
319C2×C3×C8—21no—
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C2×C3×C8C22×D311yescharacteristic
323C2×C3×C8C22×D311yescharacteristic
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—61no—
337C3×C42—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#216—62no—
344#214—62no—
345#213—62no—
346#213—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
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—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—121no—
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—121no—
372Dic3⋊C4—121no—
373C4×Dic3—21no—
374C4×Dic3—21no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—121no—
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393Dic12—62no—
394#204—22no—
395#204—62no—
396C22×C32C22×D411yescharacteristic
397C2×C3×D3—22no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—41no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—22no—
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3#13512yes—
419C2×#41—91no—
420C2×Q16—91no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—91no—
424#126—181no—
425#125—91no—
426#124—91no—
427#123—181no—
428C22⋊Q8—91no—
429#121—31no—
430C4×Q8—31no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×D4—31no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—181no—
437C4×D4—181no—
438C4×D4—181no—
439#117—31no—
440#117—181no—
441#117—181no—
442C2×C42—91no—
443C2×C42—181no—
444#107—31no—
445#107—91no—
446#106—91no—
447#106D3211yescharacteristic
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—31no—
456#102—31no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—91no—
460C4×C8—31no—
461C4×C8—91no—
462C23×C3—31no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—61no—
469C3×Q8—61no—
470C3×D4—32no—
471C3×D4—61no—
472C3×D4—61no—
473C3×D4—61no—
474C3×D4—122no—
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—122no—
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492#67—64no—
493#67—64no—
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—64no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—62no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—121no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—122no—
512C2×Dic3—122no—
513C2×Dic3D3×D411yescharacteristic
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516D12—21no—
517D12—21no—
518D12—21no—
519D12—42no—
520D12#23512yes—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—42no—
524C4×D3—62no—
525C4×D3—64no—
526C4×D3—121no—
527C4×D3—122no—
528C4×D3—122no—
529Dic6—21no—
530Dic6—21no—
531Dic6—32no—
532Dic6—32no—
533Dic6—62no—
534Dic6—61no—
535Dic6—61no—
536Dic6—121no—
537C3×C8—21no—
538C3×C8—21no—
539C3×C8—41no—
540C3×C8—61no—
541C3×C8—61no—
542C3⋊C8—21no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C2×C32#52511yescharacteristic
548C2×C32C2×#13511yescharacteristic
549C2×C32#57511yescharacteristic
550C3×D3—41no—
551C3×D3—42no—
552C3×D3—81no—
553#41—182no—
554#41—182no—
555C2×Q8—31no—
556C2×Q8—91no—
557C2×D4—31no—
558C2×D4—31no—
559C2×D4—61no—
560C2×D4—181no—
561C22×C4—31no—
562C22×C4—61no—
563C22×C4—91no—
564C22×C4—91no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568Q16—182no—
569SD16—62no—
570SD16—182no—
571D8—182no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8—91no—
575C2×C8C2×D3211yescharacteristic
576C4⋊C4—31no—
577C4⋊C4—61no—
578C4⋊C4—91no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4C2×D3211yescharacteristic
585C4⋊C4C2×D3211yescharacteristic
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—31no—
595C42—61no—
596C42—61no—
597C42—91no—
598C42—91no—
599C42—91no—
600C42—181no—
601C42—181no—
602C22×C3—21no—
603C22×C3—62no—
604C22×C3—61no—
605C22×C3—61no—
606C22×C3—61no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—22no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—32no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—81no—
633C3×C4—81no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23511yescharacteristic
637C3×C4D3×#4111yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—41no—
643Dic3—41no—
644Dic3—62no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—61no—
649Dic3—62no—
650Dic3—122no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—241no—
656Dic3#91612yes—
657C32#310211yescharacteristic, complemented, Sylow
658C23—31no—
659C23—61no—
660C23—61no—
661Q8—61no—
662Q8—61no—
663Q8—92no—
664Q8—181no—
665D4—32no—
666D4—61no—
667D4—61no—
668D4—61no—
669D4—122no—
670D4—184no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—91no—
681C2×C4—91no—
682C2×C4—122no—
683C2×C4—182no—
684C2×C4—184no—
685C2×C4—181no—
686C2×C4—181no—
687C2×C4—362no—
688C2×C4—361no—
689C2×C4—362no—
690C2×C4C22×D3211yescharacteristic
691C8—21no—
692C8—61no—
693C8—61no—
694C8—181no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—121no—
699C2×C3—122no—
700C2×C3—241no—
701C2×C3#554711yescharacteristic
702C2×C3#565611yescharacteristic
703C2×C3C2×#91611yescharacteristic
704C2×C3D3×#13511yescharacteristic
705C2×C3#576811yescharacteristic
706C2×C3#577311yescharacteristic
707D3—42no—
708D3—41no—
709D3—81no—
710C22—61no—
711C22—62no—
712C22—61no—
713C22—61no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22D32×D411yescharacteristic
720C4—32no—
721C4—41no—
722C4—41no—
723C4—61no—
724C4—61no—
725C4—121no—
726C4—121no—
727C4—182no—
728C4—181no—
729C4—181no—
730C4—361no—
731C4D3×#23511yescharacteristic
732C4#6431911yescharacteristic
733C3—21no—
734C3#7965211yescharacteristic, complemented
735C3#8134811yescharacteristic, complemented
736C2—121no—
737C2—122no—
738C2—241no—
739C2#1059461411yescharacteristic
740C2D3×#91611yescharacteristic
741C2#1059474511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10590613C2
hypercenter#106D32
hypocenterC32#3102
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. #10594426C2semidirect
2. #10594358C2semidirect
3. #10592556C2semidirect
4. C3×#4866C2semidirect
5. C3×#4852C2semidirect
6. #10590960C2semidirect
7. #10590750C2semidirect
8. #10590744C2semidirect
9. #10590655C2semidirect
11. #10590538C2semidirect
12. #10590521C2semidirect
13. #10590481C2semidirect
14. #10590473C2semidirect
15. #10590452C2semidirect
75. #4866D3semidirect
79. #4852D3semidirect
657. C32#3102semidirect
734. C3#79652semidirect
735. C3#81348semidirect

Maximal subgroups

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

subgroupindex
#105944262
#105943582
#105925562
C3×#48662
C3×#48522
#105909602
#105907502
#105907442
#105906552
#105906132
#105905382
#105905212
#105904812
#105904732
#105904522
#813483
#796523