Finite Group Databasebeta

← #11898364

Subgroups — #11898364

Order 1152.

776 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5568C211yesmaximal, characteristic, complemented
2#10593850C211yesmaximal, characteristic, complemented
3#10592727C211yesmaximal, characteristic, complemented
4C3×C4×#216C211yesmaximal, characteristic, complemented
5#10591626C211yesmaximal, characteristic, complemented
6#10591609C211yesmaximal, characteristic
7#10591577C211yesmaximal, characteristic, complemented
8#10591565C211yesmaximal, characteristic, complemented
9#10590559C211yesmaximal, characteristic, complemented
10#10590536C211yesmaximal, characteristic, complemented
11#10590481C211yesmaximal, characteristic, complemented
12#10590456C211yesmaximal, characteristic
13#10590370C211yesmaximal, characteristic
14#10590267C211yesmaximal, characteristic, complemented
15C3⋊C8×Dic6C211yesmaximal, characteristic, complemented
16#83670—31nomaximal
17#79710—31nomaximal
18C32×C4×Q8C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21#64084C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×#898—21no—
26C3×#896—21no—
27C3×#893C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C3×#876—21no—
30C3×#875C2211yescharacteristic
31C3×#872—21no—
32C3×C4×Dic6C2211yescharacteristic
33C3×C4×Dic6C2211yescharacteristic
34#63894C2211yescharacteristic
35#63888—21no—
36#63868—21no—
37#63866C2211yescharacteristic
38#63864C2211yescharacteristic
39#63848—21no—
40#63844C2211yescharacteristic
41#63836—21no—
42C2×#3719C2211yescharacteristic
43C2×#3718C2211yescharacteristic
44C2×#3717C2211yescharacteristic
45C2×#3716C2211yescharacteristic
46C2×#3715C2211yescharacteristic
47C2×#3714C2211yescharacteristic
48#63637C2211yescharacteristic
49#63636C2211yescharacteristic
50C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
51C3×#835C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#807C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62#5584—31no—
63#5568—31no—
64#5568D311yescharacteristic, complemented
65C3×C4×Q16—31no—
66#5191—31no—
67#5183—31no—
68#5092—31no—
69#5083—31no—
70#5059—31no—
71#5059—31no—
72#5054—31no—
73#5054—31no—
74C4×#216—31no—
75C4×#216D311yescharacteristic, complemented
76#5028—31no—
77#5028—31no—
78#5028—31no—
79#5028—31no—
80#5028—61no—
81Q8×C3⋊C8—31no—
82#5019—31no—
83C4×#213—31no—
84#4873—31no—
85#4872—31no—
86#4818—31no—
87#4818—31no—
88#4798—31no—
89#4798—31no—
90#4696—31no—
91C8×Dic6—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#624—21no—
101C32×C4⋊C4—21no—
102C32×C4⋊C4C2311yescharacteristic
103C32×C42—21no—
104C32×C42C2311yescharacteristic
105#3756—41no—
106#3755—41no—
107#3752—21no—
108#3752—21no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#216—22no—
112C3×(C2×D3)⋊C4—21no—
113C3×(C2×D3)⋊C4—21no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3D411yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3722—21no—
137Dic32—21no—
138#3719—22no—
139#3718—41no—
140#3717—41no—
141#3716—41no—
142#3715—41no—
143#3714—22no—
144#3393—91noSylow
145C2×C3×Q16—31no—
146C3×C4⋊Q8—31no—
147C3×#126—61no—
148C3×#126—61no—
149C3×#124—31no—
150C3×#124—31no—
151C3×C22⋊Q8—61no—
152C3×C4×Q8—21no—
153C3×C4×Q8—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—31no—
156C3×C4×Q8C2×D311yescharacteristic
157C3×C4×Q8C2×D311yescharacteristic
158C3×C4×D4—31no—
159C3×#117—61no—
160#947—31no—
161#947C2×D311yescharacteristic
162#946—61no—
163#944—31no—
164#944C2×D311yescharacteristic
165C2×#216—31no—
166C2×#216—31no—
167C2×#216—31no—
168C2×#216—31no—
169C2×#216—31no—
170C2×#216—61no—
171C2×#216C2×D311yescharacteristic
172C2×#215—31no—
173C2×#215—31no—
174C2×#215—31no—
175C2×#215—31no—
176C2×#215—61no—
177C2×#214—31no—
178C2×#214—31no—
179C2×#213—31no—
180C2×Dic12—31no—
181C2×D24—31no—
182C2×#204—31no—
183C2×#204—31no—
184#898—21no—
185#898—61no—
186#898—61no—
187#898—61no—
188#896—21no—
189#896—61no—
190#893—31no—
191#893C2×D311yescharacteristic
192#892—61no—
193#887—31no—
194#887C2×D311yescharacteristic
195#876—21no—
196#876—61no—
197#875—31no—
198#875—31no—
199#875—31no—
200#875—61no—
201#875C2×D311yescharacteristic
202C4×D12—31no—
203#872—21no—
204#872—61no—
205#869—31no—
206C4×Dic6—31no—
207C4×Dic6C2×D311yescharacteristic
208C4×Dic6C2×D311yescharacteristic
209C3×#107—31no—
210C3×#103—31no—
211C3×#103—31no—
212C3×C4×C8—31no—
213#835—31no—
214#835C2×D311yescharacteristic
215#832—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218C8×Dic3—31no—
219C8×Dic3—31no—
220#810—31no—
221#810—31no—
222#810—31no—
223#810—61no—
224#810C2×D311yescharacteristic
225#809—31no—
226#809—31no—
227#809—31no—
228#809—61no—
229#807C2×D311yescharacteristic
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233C4⋊(C3⋊C8)—31no—
234C4⋊(C3⋊C8)—61no—
235C4×C3⋊C8—31no—
236C4×C3⋊C8—31no—
237C4×C3⋊C8C2×D311yescharacteristic
238C22×C3⋊D3—21no—
239C22×C3×D3—21no—
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261C3×C4×D3—42no—
262C3×Dic6—22no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267#624—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8#4112yes—
272#556—31no—
273#556—91no—
274#495—91no—
275#495—91no—
276#494—91no—
277#464—91no—
278#464—91no—
279#464—91no—
280#464—91no—
281#461—91no—
282#461—91no—
283C8×Q8—91no—
284C4×Q16—31no—
285C4×Q16—91no—
286C4×D8—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C22×C3×C4—61no—
295C2×D12—31no—
296C2×D12—31no—
297C2×D12—61no—
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—21no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×Dic6—31no—
303C2×Dic6—31no—
304C2×Dic6—61no—
305C2×Dic6#6711yescharacteristic
306C2×Dic6C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C3×Q16—62no—
309C2×C3×C8—31no—
310C2×C3×C8—31no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—41no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—21no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—41no—
336C3×C42—61no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#216—22no—
341#216—62no—
342#216—121no—
343#216—121no—
344#216—121no—
345#216—121no—
346#216—122no—
347#215—121no—
348#215—121no—
349#215—121no—
350#215—121no—
351#215—122no—
352#214—121no—
353#214—121no—
354#213—62no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—121no—
371(C2×D3)⋊C4—121no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3#6711yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—21no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4#6711yescharacteristic
385Dic3⋊C4#6711yescharacteristic
386C4×Dic3—21no—
387C4×Dic3—21no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3C22×D311yescharacteristic
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—61no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400Dic12—62no—
401D24—62no—
402#204—121no—
403#204—121no—
404C22×C32C22×D411yescharacteristic
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3⋊D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C32×C4—21no—
412C32×C4—21no—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—41no—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3#13512yes—
425C2×Q16—31no—
426C2×Q16—91no—
427C2×Q16—91no—
428C2×Q16—91no—
429C2×SD16—91no—
430C2×SD16—91no—
431C2×SD16—91no—
432C2×SD16—91no—
433C2×D8—91no—
434C4⋊Q8—31no—
435C4⋊Q8—91no—
436#126—61no—
437#126—61no—
438#126—181no—
439#126—181no—
440#124—31no—
441#124—31no—
442#124—91no—
443#124—91no—
444C22⋊Q8—61no—
445C22⋊Q8—181no—
446C4×Q8—31no—
447C4×Q8—31no—
448C4×Q8—31no—
449C4×Q8—91no—
450C4×Q8D3211yescharacteristic
451C4×D4—31no—
452C4×D4—91no—
453#117—61no—
454#117—181no—
455#107—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—31no—
461#103—91no—
462#103—91no—
463#102—91no—
464#102—91no—
465C4×C8—31no—
466C4×C8—91no—
467C4×C8—91no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—121no—
473C3×Q8—22no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—41no—
479C3×Q8—62no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×D4—61no—
485C3×D4—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—122no—
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C2×#6711yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517C2×Dic3C2×#6711yescharacteristic
518C2×Dic3C2×#6711yescharacteristic
519D12—21no—
520D12—21no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—121no—
526D12—121no—
527C4×D3—42no—
528C4×D3—122no—
529C4×D3—122no—
530Dic6—22no—
531Dic6—21no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—121no—
541C3×C8—32no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
550C3⋊C8#23512yes—
551C2×C32#55011yescharacteristic
552C2×C32C2×#13511yescharacteristic
553C2×C32#57811yescharacteristic
554C3⋊D3—81no—
555C3×D3—81no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8—91no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—91no—
563C22×C4—61no—
564C22×C4—181no—
565Q16—62no—
566Q16—182no—
567Q16—361no—
568Q16—361no—
569SD16—361no—
570SD16—361no—
571SD16—361no—
572SD16—361no—
573D8—182no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8—91no—
577C2×C8—91no—
578C4⋊C4—21no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—21no—
602C42—31no—
603C42—31no—
604C42—61no—
605C42—61no—
606C42—181no—
607C42C2×D3211yescharacteristic
608C22×C3—21no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C22×#6711yescharacteristic
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—241no—
624C2×D3—241no—
625C2×D3—241no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—32no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—42no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—81no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4C2×#23511yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4#100911yescharacteristic
650C3×C4#100911yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—21no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660Dic3#95012yes—
661C32#339311yescharacteristic, complemented, Sylow
662C23—61no—
663C23—181no—
664Q8—21no—
665Q8—21no—
666Q8—62no—
667Q8—61no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—181no—
672Q8—181no—
673D4—61no—
674D4—61no—
675D4—181no—
676D4—181no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—122no—
687C2×C4—181no—
688C2×C4—362no—
689C2×C4D3×#6711yescharacteristic
690C2×C4D3×#6711yescharacteristic
691C2×C4C22×D3211yescharacteristic
692C8—32no—
693C8—61no—
694C8—181no—
695C8—181no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—241no—
700C2×C3#555311yescharacteristic
701C2×C3#576611yescharacteristic
702C2×C3D3×#13511yescharacteristic
703C2×C3C2×#95011yescharacteristic
704C2×C3#583411yescharacteristic
705C2×C3#583811yescharacteristic
706D3—81no—
707D3—241no—
708D3—241no—
709D3—481no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—361no—
714C22—361no—
715C22—361no—
716C22C2×D3×#6711yescharacteristic
717C4—21no—
718C4—21no—
719C4—32no—
720C4—41no—
721C4—41no—
722C4—61no—
723C4—61no—
724C4—61no—
725C4—121no—
726C4—121no—
727C4—121no—
728C4—361no—
729C4D3×#23511yescharacteristic
730C4#6430811yescharacteristic
731C3—21no—
732C3#7971011yescharacteristic, complemented
733C3#8367011yescharacteristic, complemented
734C2—241no—
735C2—721no—
736C2#1059500711yescharacteristic
737C2#1059532711yescharacteristic
738C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×#3714C22
hypercenterC4×Q8D32
hypocenterC32#3393
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5568C2semidirect
2. #10593850C2semidirect
3. #10592727C2semidirect
4. C3×C4×#216C2semidirect
5. #10591626C2semidirect
7. #10591577C2semidirect
8. #10591565C2semidirect
9. #10590559C2semidirect
10. #10590536C2semidirect
11. #10590481C2semidirect
14. #10590267C2semidirect
15. C3⋊C8×Dic6C2semidirect
64. #5568D3semidirect
75. C4×#216D3semidirect
661. C32#3393semidirect
732. C3#79710semidirect
733. C3#83670semidirect

Maximal subgroups

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

subgroupindex
C3×#55682
#105938502
#105927272
C3×C4×#2162
#105916262
#105916092
#105915772
#105915652
#105905592
#105905362
#105904812
#105904562
#105903702
#105902672
C3⋊C8×Dic62
#836703
#797103