Finite Group Databasebeta

← #11883769

Subgroups — #11883769

Order 1152.

1704 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#638C211yesmaximal, characteristic, complemented
2C22×#3753C211yesmaximal, characteristic, complemented
3C2×#64123C211yesmaximal, characteristic, complemented
4#10596101C211yesmaximal, characteristic, complemented
5C32×#450C211yesmaximal, characteristic, complemented
6#10592875C211yesmaximal, characteristic, complemented
7#10592871C211yesmaximal, characteristic, complemented
8#10592864C211yesmaximal, characteristic, complemented
9#10592747C211yesmaximal, characteristic, complemented
10#10592485C211yesmaximal, characteristic, complemented
11#10592484C211yesmaximal, characteristic, complemented
12#10592481C211yesmaximal, characteristic, complemented
13#10592472C211yesmaximal, characteristic, complemented
14#10592431C211yesmaximal, characteristic, complemented
15#10592429C211yesmaximal, characteristic, complemented
16#80166—34nomaximal
17C22×C32×D4C2211yescharacteristic
18C22×#638—21no—
19C2×#3832C2211yescharacteristic, complemented
20C2×D4×C3⋊D3C2211yescharacteristic, complemented
21C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×C32×SD16C2211yescharacteristic, complemented
23C2×C32×SD16C2211yescharacteristic, complemented
24C32×C22⋊Q8C2211yescharacteristic, complemented
25#64162—21no—
26#64156C2211yescharacteristic, complemented
27C2×#3755C2211yescharacteristic, complemented
28#64149C2211yescharacteristic, complemented
29#64148—21no—
30#64147C2211yescharacteristic, complemented
31#64146—21no—
32D4×C3⋊Dic3C2211yescharacteristic, complemented
33C2×#3753—24no—
34C2×#3753C2211yescharacteristic
35C2×#3753C2211yescharacteristic
36C2×#3753C2211yescharacteristic, complemented
37C2×#3753C2211yescharacteristic, complemented
38#64139C2211yescharacteristic
39C4×#638C2211yescharacteristic
40C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
41#64123—24no—
42C2×#3745C2211yescharacteristic, complemented
43C2×#3745C2211yescharacteristic, complemented
44C2×#3743C2211yescharacteristic, complemented
45#64104—21no—
46#64104C2211yescharacteristic, complemented
47#64103—21no—
48#64102C2211yescharacteristic, complemented
49#64091—21no—
50C22⋊C4×C3⋊D3—21no—
51C32×#102C2211yescharacteristic, complemented
52C32×#102C2211yescharacteristic, complemented
53C32×C22⋊C8C2211yescharacteristic, complemented
54#63662C2211yescharacteristic, complemented
55#63648C2211yescharacteristic, complemented
56#63648C2211yescharacteristic, complemented
57#63647C2211yescharacteristic, complemented
58#63642C2211yescharacteristic, complemented
59#63641C2211yescharacteristic, complemented
60#63636C2211yescharacteristic, complemented
61#63635C2211yescharacteristic, complemented
62D4×#67—34no—
63C22×#213—34no—
64C2×#914—34no—
65#5630—34no—
66C3×#450D314yescomplemented
67#5176—34no—
68#5172—34no—
69#5165—34no—
70#5048—34no—
71#4786—34no—
72#4785—34no—
73#4782—34no—
74#4773—34no—
75#4732—34no—
76#4730—34no—
77C24×C32—21no—
78C23×C3⋊D3—21no—
79C23×C3⋊D3—21no—
80C2×C32×Q8C2311yescharacteristic
81C2×C32×D4—22no—
82C2×C32×D4—21no—
83C2×C32×D4—41no—
84C2×C32×D4C2311yescharacteristic
85C2×C32×D4C2311yescharacteristic
86C22×C32×C4C2311yescharacteristic
87C2×#638—21no—
88C2×#638—21no—
89C2×#638—21no—
90C2×#638—21no—
91C2×#638—21no—
92C2×#638—44no—
93C2×#638D411yescharacteristic
94C22×C3⋊Dic3—21no—
95#3832—22no—
96#3832—41no—
97D4×C3⋊D3—22no—
98D4×C3⋊D3—41no—
99C2×C4⋊(C3⋊D3)—22no—
100C2×C4⋊(C3⋊D3)—21no—
101C2×C4⋊(C3⋊D3)—21no—
102C2×C4⋊(C3⋊D3)—21no—
103C2×C4⋊(C3⋊D3)—41no—
104C2×C4⋊(C3⋊D3)C2311yescharacteristic
105C2×C4⋊(C3⋊D3)C2311yescharacteristic
106C2×C4⋊(C3⋊D3)C2311yescharacteristic
107C2×C4×C3⋊D3—21no—
108C2×C4×C3⋊D3—21no—
109C2×C4×C3⋊D3C2311yescharacteristic
110C32×SD16—22no—
111C32×SD16—41no—
112C2×C32×C8C2311yescharacteristic
113C2×C32×C8C2311yescharacteristic
114C32×C4⋊C4—21no—
115C32×C4⋊C4C2311yescharacteristic
116C32×C22⋊C4—21no—
117#3757—21no—
118#3757—21no—
119#3757D411yescharacteristic
120#3755—22no—
121#3753—22no—
122#3753—22no—
123#3753—22no—
124#3753D414yescomplemented
125#3752—21no—
126#3752—21no—
127#3752—21no—
128#3752—21no—
129#3752—21no—
130#3752D411yescharacteristic
131C4⋊(C3⋊Dic3)C2311yescharacteristic
132#3750D411yescharacteristic
133C4×C3⋊Dic3C2311yescharacteristic
134C2×C3⋊(C3⋊C8)—22no—
135C2×C3⋊(C3⋊C8)C2311yescharacteristic
136C2×C3⋊(C3⋊C8)C2311yescharacteristic
137#3745—22no—
138#3745—41no—
139#3743—22no—
140#3264—91noSylow
141C22×C3×D4C2×D314yes—
142C22×#67—64no—
143C2×#239—34no—
144C2×D3×D4—34no—
145C22×D12—34no—
146C2×C3×SD16C2×D314yescomplemented
147C2×C3×SD16C2×D314yescomplemented
148C3×C22⋊Q8C2×D314yescomplemented
149#953—64no—
150#947—34no—
151C2×#215—34no—
152#940—34no—
153#939—64no—
154#938—34no—
155#937—64no—
156D4×Dic3—34no—
157C2×#213—34no—
158C2×#213—34no—
159C2×#213—34no—
160C2×#213—34no—
161C2×#213—616no—
162#930—34no—
163C4×#67—34no—
164C22×C3⋊C8—34no—
165#914—616no—
166C2×D24—34no—
167C2×D24—34no—
168C2×ΓL(1,𝔽25)—34no—
169#895—34no—
170#895—64no—
171#894—64no—
172#893—34no—
173#882—64no—
174D3×C22⋊C4—64no—
175C3×#102C2×D314yescomplemented
176C3×#102C2×D314yescomplemented
177C3×C22⋊C8C2×D314yescomplemented
178#835—34no—
179#821—34no—
180#821—34no—
181(C2×D3)⋊C8—34no—
182#815—34no—
183Dic3⋊C8—34no—
184#809—34no—
185#808—34no—
186C23×C32—21no—
187C23×C32—21no—
188C23×C32—42no—
189C23×C32—42no—
190C23×C32—81no—
191C23×C32C2×D411yescharacteristic
192C22×C3⋊D3—21no—
193C22×C3⋊D3—21no—
194C22×C3⋊D3—21no—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3⋊D3—42no—
198C22×C3⋊D3—42no—
199C22×C3⋊D3—81no—
200C22×C3⋊D3—81no—
201C22×C3⋊D3C2×D411yescharacteristic
202C32×Q8—21no—
203C32×Q8—21no—
204C32×D4—21no—
205C32×D4—21no—
206C32×D4—21no—
207C32×D4—42no—
208C32×D4C2×D412yes—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—21no—
212C2×C32×C4—21no—
213C2×C32×C4C2×D411yescharacteristic
214C2×C32×C4C2411yescharacteristic
215#638—22no—
216#638—42no—
217#638—42no—
218#638—42no—
219#638—42no—
220#638—81no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—42no—
223C2×C3⋊Dic3C2×D411yescharacteristic
224C2×C3⋊Dic3C2×D411yescharacteristic
225C2×C3⋊Dic3C2×D411yescharacteristic
226C4⋊(C3⋊D3)—21no—
227C4⋊(C3⋊D3)—21no—
228C4⋊(C3⋊D3)—21no—
229C4⋊(C3⋊D3)—21no—
230C4⋊(C3⋊D3)—21no—
231C4⋊(C3⋊D3)—42no—
232C4⋊(C3⋊D3)—42no—
233C4⋊(C3⋊D3)—81no—
234C4⋊(C3⋊D3)C2×D412yescomplemented
235C4×C3⋊D3—21no—
236C4×C3⋊D3—21no—
237C4×C3⋊D3—42no—
238C4×C3⋊D3—81no—
239C32×C8—21no—
240C32×C8—21no—
241C3⋊(C3⋊C8)—21no—
242C3⋊(C3⋊C8)C2×D412yescomplemented
243C2×AGL(1,ℤ/8)—91no—
244C22×D8—91no—
245#546—91no—
246D42—91no—
247#496—91no—
248#469—91no—
249#465—91no—
250#463—91no—
251#459—91no—
252#450C3⋊D311yescharacteristic, complemented
253#449—91no—
254#447—91no—
255#447—91no—
256#442—91no—
257#435—91no—
258C24×C3—24no—
259C23×D3—64no—
260C23×D3—64no—
261C2×C3×Q8C22×D314yes—
262C2×C3×D4—28no—
263C2×C3×D4—24no—
264C2×C3×D4—44no—
265C2×C3×D4C22×D314yes—
266C2×C3×D4C22×D314yes—
267C22×C3×C4C22×D314yes—
268C2×#67—34no—
269C2×#67—64no—
270C2×#67—64no—
271C2×#67—64no—
272C2×#67—64no—
273C2×#67—64no—
274C2×#67—1216no—
275C22×Dic3—64no—
276#239—68no—
277#239—124no—
278D3×D4—68no—
279D3×D4—124no—
280C2×D12—34no—
281C2×D12—34no—
282C2×D12—34no—
283C2×D12—68no—
284C2×D12—64no—
285C2×D12—64no—
286C2×D12—64no—
287C2×D12—124no—
288C2×C4×D3—34no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C3×SD16—28no—
292C3×SD16—44no—
293C2×C3×C8C22×D314yes—
294C2×C3×C8C22×D314yes—
295C3×C4⋊C4—24no—
296C3×C4⋊C4C22×D314yes—
297C3×C22⋊C4—24no—
298#217—34no—
299#217—64no—
300#217—64no—
301#215—68no—
302#213—316no—
303#213—68no—
304#213—68no—
305#213—68no—
306(C2×D3)⋊C4—34no—
307(C2×D3)⋊C4—64no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312C4⋊Dic3—34no—
313Dic3⋊C4—34no—
314C4×Dic3—34no—
315C2×C3⋊C8—34no—
316C2×C3⋊C8—34no—
317C2×C3⋊C8—68no—
318D24—68no—
319D24—124no—
320ΓL(1,𝔽25)—68no—
321C22×C32—21no—
322C22×C32—21no—
323C22×C32—22no—
324C22×C32—41no—
325C22×C32—41no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32—84no—
330C22×C32AGL(1,ℤ/8)12yescomplemented
331C22×C32C22×D411yescharacteristic
332C2×C3⋊D3—21no—
333C2×C3⋊D3—22no—
334C2×C3⋊D3—21no—
335C2×C3⋊D3—21no—
336C2×C3⋊D3—41no—
337C2×C3⋊D3—41no—
338C2×C3⋊D3—41no—
339C2×C3⋊D3—41no—
340C2×C3⋊D3—41no—
341C2×C3⋊D3—41no—
342C2×C3⋊D3—41no—
343C2×C3⋊D3—41no—
344C2×C3⋊D3—84no—
345C2×C3⋊D3—84no—
346C32×C4—21no—
347C32×C4—41no—
348C32×C4—41no—
349C32×C4C22×D411yescharacteristic
350C32×C4H(5,𝔽2)11yescharacteristic
351C3⋊Dic3—21no—
352C3⋊Dic3—21no—
353C3⋊Dic3—21no—
354C3⋊Dic3—41no—
355C2×#41—91no—
356C22×D4—91no—
357C22×D4—91no—
358C22×D4—181no—
359C22×D4C2×C3⋊D311yescharacteristic
360AGL(1,ℤ/8)—184no—
361C2×SD16—91no—
362C2×SD16C2×C3⋊D311yescharacteristic, complemented
363C2×SD16C2×C3⋊D311yescharacteristic, complemented
364C2×D8—91no—
365C2×D8—91no—
366C2×D8—91no—
367C2×D8—91no—
368C2×D8—91no—
369C2×D8—91no—
370C2×D8—184no—
371C2×M16—91no—
372C22×C8—91no—
373#127—91no—
374#124—91no—
375#123—181no—
376C22⋊Q8C2×C3⋊D311yescharacteristic, complemented
377#121—91no—
378#121—91no—
379#121—91no—
380#121—181no—
381#121—181no—
382#120—181no—
383#120—181no—
384#120—181no—
385C4×D4—91no—
386C4×D4—91no—
387C4×D4—91no—
388C2×C22⋊C4—181no—
389#106—91no—
390C4⋊C8—91no—
391#103—91no—
392#102—91no—
393#102—91no—
394#102—91no—
395#102C2×C3⋊D311yescharacteristic, complemented
396#102C2×C3⋊D311yescharacteristic, complemented
397C22⋊C8—91no—
398C22⋊C8C2×C3⋊D311yescharacteristic, complemented
399#97—91no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—48no—
403C23×C3—48no—
404C23×C3—84no—
405C23×C3D3×D414yes—
406C22×D3—34no—
407C22×D3—64no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—128no—
411C22×D3—128no—
412C22×D3—128no—
413C22×D3—128no—
414C22×D3—244no—
415C22×D3—244no—
416C3×Q8—24no—
417C3×Q8—24no—
418C3×D4—24no—
419C3×D4—24no—
420C3×D4—24no—
421C3×D4—48no—
422C3×D4D3×D418yes—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—24no—
427C2×C3×C4D3×D414yes—
428C2×C3×C4C23×D314yes—
429#67—68no—
430#67—128no—
431#67—128no—
432#67—128no—
433#67—128no—
434#67—244no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—34no—
438C2×Dic3—64no—
439C2×Dic3—128no—
440D12—38no—
441D12—64no—
442D12—64no—
443D12—64no—
444D12—64no—
445D12—64no—
446D12—128no—
447D12—128no—
448D12—244no—
449C4×D3—64no—
450C4×D3—64no—
451C4×D3—128no—
452C4×D3—244no—
453C3×C8—24no—
454C3×C8—24no—
455C3⋊C8—38no—
456C3⋊C8—64no—
457C2×C32—22no—
458C2×C32—42no—
459C2×C32—81no—
460C2×C32D4211yescharacteristic
461C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
462C2×C32#57611yescharacteristic
463C3⋊D3—41no—
464C3⋊D3—42no—
465C3⋊D3—81no—
466C3⋊D3—81no—
467C24—21no—
468C24—181no—
469C24—181no—
470#41—182no—
471#41—361no—
472C2×Q8C22×C3⋊D311yescharacteristic
473C2×D4—22no—
474C2×D4—21no—
475C2×D4—41no—
476C2×D4—91no—
477C2×D4—91no—
478C2×D4—91no—
479C2×D4—91no—
480C2×D4—182no—
481C2×D4—181no—
482C2×D4—181no—
483C2×D4—181no—
484C2×D4—181no—
485C2×D4—181no—
486C2×D4—182no—
487C2×D4—181no—
488C2×D4—181no—
489C2×D4—181no—
490C2×D4—361no—
491C2×D4—361no—
492C2×D4—364no—
493C2×D4C22×C3⋊D311yescharacteristic
494C2×D4C22×C3⋊D311yescharacteristic
495C22×C4—91no—
496C22×C4—181no—
497C22×C4—181no—
498C22×C4—181no—
499C22×C4C22×C3⋊D311yescharacteristic
500SD16—22no—
501SD16—41no—
502SD16—182no—
503D8—94no—
504D8—182no—
505D8—182no—
506D8—182no—
507D8—182no—
508D8—361no—
509M16—182no—
510C2×C8—91no—
511C2×C8—91no—
512C2×C8—182no—
513C2×C8C22×C3⋊D311yescharacteristic
514C2×C8C22×C3⋊D311yescharacteristic
515C4⋊C4—21no—
516C4⋊C4—91no—
517C4⋊C4—91no—
518C4⋊C4C22×C3⋊D311yescharacteristic
519C22⋊C4—21no—
520C22⋊C4—91no—
521C22⋊C4—91no—
522C22⋊C4—181no—
523C22⋊C4—181no—
524C22⋊C4—181no—
525C22⋊C4—181no—
526C22⋊C4—181no—
527C22⋊C4—181no—
528C22⋊C4—181no—
529C42—91no—
530C22×C3—24no—
531C22×C3—24no—
532C22×C3—28no—
533C22×C3—44no—
534C22×C3—44no—
535C22×C3—44no—
536C22×C3—44no—
537C22×C3—44no—
538C22×C3—816no—
539C22×C3#91418yescomplemented
540C22×C3C2×D3×D414yes—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—64no—
544C2×D3—68no—
545C2×D3—124no—
546C2×D3—124no—
547C2×D3—124no—
548C2×D3—124no—
549C2×D3—124no—
550C2×D3—124no—
551C2×D3—124no—
552C2×D3—124no—
553C2×D3—2416no—
554C2×D3—2416no—
555C3×C4—24no—
556C3×C4—44no—
557C3×C4—44no—
558C3×C4C2×D3×D414yes—
559C3×C4#100414yes—
560Dic3—64no—
561Dic3—64no—
562Dic3—64no—
563Dic3—124no—
564C32#326411yescharacteristic, complemented, Sylow
565C23—21no—
566C23—21no—
567C23—42no—
568C23—42no—
569C23—81no—
570C23—91no—
571C23—181no—
572C23—181no—
573C23—181no—
574C23—362no—
575C23—362no—
576C23—362no—
577C23—362no—
578C23—721no—
579C23—721no—
580C23D4×C3⋊D311yescharacteristic
581Q8—21no—
582Q8—21no—
583D4—21no—
584D4—21no—
585D4—21no—
586D4—42no—
587D4—92no—
588D4—182no—
589D4—181no—
590D4—181no—
591D4—181no—
592D4—181no—
593D4—181no—
594D4—362no—
595D4—362no—
596D4—362no—
597D4—362no—
598D4—362no—
599D4—362no—
600D4—721no—
601D4—721no—
602D4D4×C3⋊D312yes—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—91no—
608C2×C4—91no—
609C2×C4—91no—
610C2×C4—181no—
611C2×C4—181no—
612C2×C4—181no—
613C2×C4—362no—
614C2×C4—362no—
615C2×C4—721no—
616C2×C4D4×C3⋊D311yescharacteristic
617C2×C4C23×C3⋊D311yescharacteristic
618C8—21no—
619C8—21no—
620C8—92no—
621C8—181no—
622C2×C3—28no—
623C2×C3—48no—
624C2×C3—84no—
625C2×C3#559014yes—
626C2×C3C2×#91414yes—
627C2×C3#577414yes—
628D3—124no—
629D3—128no—
630D3—244no—
631D3—244no—
632C22—21no—
633C22—21no—
634C22—22no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—84no—
641C22—181no—
642C22—181no—
643C22—181no—
644C22—182no—
645C22—361no—
646C22—361no—
647C22—361no—
648C22—361no—
649C22—361no—
650C22—361no—
651C22—361no—
652C22—361no—
653C22—724no—
654C22—724no—
655C22#6412312yescomplemented
656C22C2×D4×C3⋊D311yescharacteristic
657C4—21no—
658C4—41no—
659C4—41no—
660C4—181no—
661C4—181no—
662C4—181no—
663C4—361no—
664C4C2×D4×C3⋊D311yescharacteristic
665C4#6436111yescharacteristic
666C3#8016614yescomplemented
667C2—22no—
668C2—42no—
669C2—81no—
670C2—361no—
671C2—362no—
672C2—721no—
673C2—721no—
674C2#1059606111yescharacteristic
675C2C2×#6412311yescharacteristic
676C2#1059624511yescharacteristic
subgroupG/H
centerC22C2×D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC32×#450C2
socleC22×C32C22×D4
hypercenter#450C3⋊D3
hypocenterC32#3264
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #450

Complements

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

NH ≅ G/Ntype
1. D4×#638C2semidirect
2. C22×#3753C2semidirect
3. C2×#64123C2semidirect
4. #10596101C2semidirect
5. C32×#450C2semidirect
6. #10592875C2semidirect
7. #10592871C2semidirect
8. #10592864C2semidirect
9. #10592747C2semidirect
10. #10592485C2semidirect
11. #10592484C2semidirect
12. #10592481C2semidirect
13. #10592472C2semidirect
14. #10592431C2semidirect
15. #10592429C2semidirect
19. C2×#3832C22semidirect
20. C2×D4×C3⋊D3C22semidirect
21. C22×C4⋊(C3⋊D3)C22semidirect
22. C2×C32×SD16C22semidirect
23. C2×C32×SD16C22semidirect
24. C32×C22⋊Q8C22semidirect
26. #64156C22semidirect
27. C2×#3755C22semidirect
28. #64149C22semidirect
30. #64147C22semidirect
32. D4×C3⋊Dic3C22semidirect
36. C2×#3753C22semidirect
37. C2×#3753C22semidirect
40. C22×C3⋊(C3⋊C8)C22semidirect
42. C2×#3745C22semidirect
43. C2×#3745C22semidirect
44. C2×#3743C22semidirect
46. #64104C22semidirect
48. #64102C22semidirect
51. C32×#102C22semidirect
52. C32×#102C22semidirect
53. C32×C22⋊C8C22semidirect
54. #63662C22semidirect
55. #63648C22semidirect
56. #63648C22semidirect
57. #63647C22semidirect
58. #63642C22semidirect
59. #63641C22semidirect
60. #63636C22semidirect
61. #63635C22semidirect
66. C3×#450D3semidirect
124. #3753D4semidirect
146. C2×C3×SD16C2×D3semidirect
147. C2×C3×SD16C2×D3semidirect
148. C3×C22⋊Q8C2×D3semidirect
175. C3×#102C2×D3semidirect
176. C3×#102C2×D3semidirect
177. C3×C22⋊C8C2×D3semidirect
234. C4⋊(C3⋊D3)C2×D4semidirect
242. C3⋊(C3⋊C8)C2×D4semidirect
252. #450C3⋊D3semidirect
330. C22×C32AGL(1,ℤ/8)semidirect
362. C2×SD16C2×C3⋊D3semidirect
363. C2×SD16C2×C3⋊D3semidirect
376. C22⋊Q8C2×C3⋊D3semidirect
395. #102C2×C3⋊D3semidirect
396. #102C2×C3⋊D3semidirect
398. C22⋊C8C2×C3⋊D3semidirect
539. C22×C3#914semidirect
564. C32#3264semidirect
655. C22#64123semidirect
666. C3#80166semidirect

Maximal subgroups

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

subgroupindex
D4×#6382
C22×#37532
C2×#641232
#105961012
C32×#4502
#105928752
#105928712
#105928642
#105927472
#105924852
#105924842
#105924812
#105924722
#105924312
#105924292
#801663