Finite Group Databasebeta

← #11883778

Subgroups — #11883778

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
1C2×D8×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#64117C211yesmaximal, characteristic, complemented
3#10596083C211yesmaximal, characteristic, complemented
4#10596080C211yesmaximal, characteristic, complemented
5C32×#469C211yesmaximal, characteristic, complemented
6#10592853C211yesmaximal, characteristic, complemented
7#10592826C211yesmaximal, characteristic, complemented
8#10592736C211yesmaximal, characteristic, complemented
9#10592735C211yesmaximal, characteristic, complemented
10#10592568C211yesmaximal, characteristic, complemented
11#10592563C211yesmaximal, characteristic, complemented
12#10592486C211yesmaximal, characteristic, complemented
13#10592485C211yesmaximal, characteristic, complemented
14#10592475C211yesmaximal, characteristic, complemented
15#10592472C211yesmaximal, characteristic, complemented
16#80881—34nomaximal
17C2×D4×C3⋊D3—21no—
18C2×D4×C3⋊D3C2211yescharacteristic
19C2×D4×C3⋊D3C2211yescharacteristic, complemented
20C2×#3828C2211yescharacteristic, complemented
21C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×C32×D8C2211yescharacteristic, complemented
23C2×C32×M16C2211yescharacteristic, complemented
24C32×#121C2211yescharacteristic, complemented
25C32×#121C2211yescharacteristic, complemented
26#64149C2211yescharacteristic, complemented
27#64147—21no—
28#64146—21no—
29#64146—21no—
30#64145C2211yescharacteristic, complemented
31C2×#3754C2211yescharacteristic, complemented
32C2×#3753C2211yescharacteristic
33C2×#3753C2211yescharacteristic, complemented
34C2×#3753C2211yescharacteristic, complemented
35C4×#638C2211yescharacteristic
36D8×C3⋊D3—24no—
37#64117—24no—
38C2×#3745C2211yescharacteristic
39C2×#3745C2211yescharacteristic, complemented
40C2×#3744C2211yescharacteristic, complemented
41C2×#3744C2211yescharacteristic, complemented
42C2×C8×C3⋊D3C2211yescharacteristic, complemented
43#64106C2211yescharacteristic, complemented
44#64104C2211yescharacteristic
45#64102C2211yescharacteristic, complemented
46#64102C2211yescharacteristic, complemented
47#64093—21no—
48#64092—21no—
49#64091—21no—
50C22⋊C4×C3⋊D3—21no—
51C32×#106C2211yescharacteristic, complemented
52C32×#102C2211yescharacteristic, complemented
53C32×#102C2211yescharacteristic, complemented
54#63657C2211yescharacteristic, complemented
55#63647C2211yescharacteristic, complemented
56#63642C2211yescharacteristic, complemented
57#63641C2211yescharacteristic, complemented
58#63637C2211yescharacteristic, complemented
59#63636C2211yescharacteristic, complemented
60#63636C2211yescharacteristic, complemented
61#63636C2211yescharacteristic, complemented
62C2×D3×D8—34no—
63C2×#908—34no—
64#5612—34no—
65#5609—34no—
66C3×#469D314yescomplemented
67#5154—34no—
68#5127—34no—
69#5037—34no—
70#5036—34no—
71#4869—34no—
72#4864—34no—
73#4787—34no—
74#4786—34no—
75#4776—34no—
76#4773—34no—
77C23×C3⋊D3—21no—
78C23×C3⋊D3—21no—
79C23×C3⋊D3—21no—
80C2×C32×D4—21no—
81C2×C32×D4—21no—
82C2×C32×D4C2311yescharacteristic
83C2×C32×D4C2311yescharacteristic
84C22×C32×C4C2311yescharacteristic
85C2×#638—21no—
86C2×#638—21no—
87C2×#638—21no—
88C2×#638—21no—
89C2×#638—21no—
90C2×#638D411yescharacteristic
91D4×C3⋊D3—22no—
92D4×C3⋊D3—22no—
93D4×C3⋊D3—41no—
94D4×C3⋊D3—41no—
95D4×C3⋊D3—44no—
96#3828—22no—
97#3828—41no—
98C2×C4⋊(C3⋊D3)—22no—
99C2×C4⋊(C3⋊D3)—21no—
100C2×C4⋊(C3⋊D3)—21no—
101C2×C4⋊(C3⋊D3)—41no—
102C2×C4⋊(C3⋊D3)C2311yescharacteristic
103C2×C4⋊(C3⋊D3)C2311yescharacteristic
104C2×C4⋊(C3⋊D3)C2311yescharacteristic
105C2×C4×C3⋊D3—21no—
106C2×C4×C3⋊D3—21no—
107C2×C4×C3⋊D3—21no—
108C2×C4×C3⋊D3C2311yescharacteristic
109C2×#634C2311yescharacteristic
110C32×D8—22no—
111C32×M16—22no—
112C2×C32×C8C2311yescharacteristic
113C2×C32×C8C2311yescharacteristic
114C32×C4⋊C4C2311yescharacteristic
115C32×C4⋊C4C2311yescharacteristic
116C32×C22⋊C4—21no—
117C32×C22⋊C4—21no—
118#3757—21no—
119#3757—21no—
120#3757D411yescharacteristic
121#3754—41no—
122#3753—22no—
123#3753—22no—
124#3753—41no—
125#3752—21no—
126#3752—21no—
127#3752—21no—
128#3752—21no—
129#3752D411yescharacteristic
130C4⋊(C3⋊Dic3)—21no—
131#3750D411yescharacteristic
132C4×C3⋊Dic3C2311yescharacteristic
133C2×C3⋊(C3⋊C8)C2311yescharacteristic
134C2×C3⋊(C3⋊C8)C2311yescharacteristic
135#3745—22no—
136#3745D414yescomplemented
137#3744—22no—
138#3744—22no—
139C8×C3⋊D3—22no—
140#3264—91noSylow
141C2×D3×D4—34no—
142C2×D3×D4—34no—
143C2×D3×D4—64no—
144C2×#235—34no—
145C22×D12—34no—
146C2×C3×D8C2×D314yescomplemented
147C2×C3×M16C2×D314yescomplemented
148C3×#121C2×D314yescomplemented
149C3×#121C2×D314yescomplemented
150#940—34no—
151#938—64no—
152#937—64no—
153#937—64no—
154#936—34no—
155C2×#214—34no—
156C2×#213—34no—
157C2×#213—34no—
158C2×#213—34no—
159C4×#67—34no—
160D3×D8—616no—
161#908—616no—
162C2×D24—34no—
163C2×D24—34no—
164C2×#204—34no—
165C2×#204—34no—
166C2×D3×C8—34no—
167#897—34no—
168#895—34no—
169#893—34no—
170#893—34no—
171#884—64no—
172#883—64no—
173#882—64no—
174D3×C22⋊C4—64no—
175C3×#106C2×D314yescomplemented
176C3×#102C2×D314yescomplemented
177C3×#102C2×D314yescomplemented
178#830—34no—
179(C2×D3)⋊C8—34no—
180#815—34no—
181Dic3⋊C8—34no—
182#810—34no—
183#809—34no—
184#809—34no—
185#809—34no—
186C23×C32—21no—
187C23×C32—21no—
188C23×C32C2×D411yescharacteristic
189C22×C3⋊D3—21no—
190C22×C3⋊D3—21no—
191C22×C3⋊D3—21no—
192C22×C3⋊D3—42no—
193C22×C3⋊D3—42no—
194C22×C3⋊D3—42no—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3⋊D3—42no—
198C22×C3⋊D3—81no—
199C22×C3⋊D3—81no—
200C22×C3⋊D3—81no—
201C22×C3⋊D3C2×D411yescharacteristic
202C32×D4—21no—
203C32×D4—21no—
204C32×D4—21no—
205C32×D4—21no—
206C32×D4—42no—
207C32×D4—81no—
208C2×C32×C4—21no—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—21no—
212C2×C32×C4C2×D411yescharacteristic
213C2×C32×C4C2411yescharacteristic
214#638—22no—
215#638—42no—
216#638—42no—
217#638—42no—
218#638—42no—
219#638—81no—
220C2×C3⋊Dic3—21no—
221C2×C3⋊Dic3C2×D411yescharacteristic
222C2×C3⋊Dic3C2×D411yescharacteristic
223C2×C3⋊Dic3C2×D411yescharacteristic
224C4⋊(C3⋊D3)—21no—
225C4⋊(C3⋊D3)—21no—
226C4⋊(C3⋊D3)—21no—
227C4⋊(C3⋊D3)—21no—
228C4⋊(C3⋊D3)—42no—
229C4⋊(C3⋊D3)—42no—
230C4⋊(C3⋊D3)C2×D412yes—
231C4⋊(C3⋊D3)C2×D412yescomplemented
232C4×C3⋊D3—21no—
233C4×C3⋊D3—21no—
234C4×C3⋊D3—42no—
235C4×C3⋊D3—42no—
236C4×C3⋊D3—81no—
237#634—21no—
238#634—21no—
239C32×C8—21no—
240C32×C8C2×D412yescomplemented
241C3⋊(C3⋊C8)—21no—
242C3⋊(C3⋊C8)—21no—
243C2×AGL(1,ℤ/8)—91no—
244C22×D8—91no—
245#546—91no—
246D42—91no—
247#496—91no—
248#469C3⋊D311yescharacteristic, complemented
249#465—91no—
250#463—91no—
251#459—91no—
252#450—91no—
253#449—91no—
254#447—91no—
255#447—91no—
256#442—91no—
257#435—91no—
258C23×D3—64no—
259C23×D3—64no—
260C23×D3—64no—
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4C22×D314yes—
264C2×C3×D4C22×D314yes—
265C22×C3×C4C22×D314yes—
266C2×#67—34no—
267C2×#67—64no—
268C2×#67—64no—
269C2×#67—64no—
270C2×#67—64no—
271C2×#67—64no—
272D3×D4—68no—
273D3×D4—68no—
274D3×D4—124no—
275D3×D4—124no—
276D3×D4—1216no—
277#235—68no—
278#235—124no—
279C2×D12—34no—
280C2×D12—34no—
281C2×D12—34no—
282C2×D12—68no—
283C2×D12—64no—
284C2×D12—64no—
285C2×D12—124no—
286C2×C4×D3—34no—
287C2×C4×D3—64no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×Dic6—34no—
291C3×D8—28no—
292C3×M16—28no—
293C2×C3×C8C22×D314yes—
294C2×C3×C8C22×D314yes—
295C3×C4⋊C4C22×D314yes—
296C3×C4⋊C4C22×D314yes—
297C3×C22⋊C4—24no—
298C3×C22⋊C4—24no—
299#217—34no—
300#217—64no—
301#217—64no—
302#214—124no—
303#213—68no—
304#213—68no—
305#213—124no—
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—
311C4⋊Dic3—64no—
312Dic3⋊C4—34no—
313C4×Dic3—34no—
314C2×C3⋊C8—34no—
315C2×C3⋊C8—34no—
316D24—316no—
317D24—68no—
318#204—68no—
319#204—68no—
320D3×C8—68no—
321C22×C32—21no—
322C22×C32—21no—
323C22×C32—21no—
324C22×C32—41no—
325C22×C32—41no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32—41no—
330C22×C32C22×D411yescharacteristic
331C2×C3⋊D3—21no—
332C2×C3⋊D3—21no—
333C2×C3⋊D3—22no—
334C2×C3⋊D3—22no—
335C2×C3⋊D3—41no—
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—84no—
343C2×C3⋊D3—84no—
344C2×C3⋊D3—84no—
345C2×C3⋊D3AGL(1,ℤ/8)12yescomplemented
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—91no—
359C22×D4—181no—
360AGL(1,ℤ/8)—184no—
361C2×SD16—91no—
362C2×SD16—91no—
363C2×SD16—91no—
364C2×D8—91no—
365C2×D8—91no—
366C2×D8—91no—
367C2×D8—91no—
368C2×D8—91no—
369C2×D8—184no—
370C2×D8C2×C3⋊D311yescharacteristic, complemented
371C2×M16C2×C3⋊D311yescharacteristic, complemented
372C22×C8—91no—
373#127—91no—
374#124—91no—
375#123—181no—
376C22⋊Q8—91no—
377#121—91no—
378#121—181no—
379#121—181no—
380#121C2×C3⋊D311yescharacteristic, complemented
381#121C2×C3⋊D311yescharacteristic, complemented
382#120—181no—
383#120—181no—
384#120—181no—
385C4×D4—91no—
386C4×D4—91no—
387C4×D4—91no—
388C2×C22⋊C4—181no—
389#106C2×C3⋊D311yescharacteristic, complemented
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⋊C8—91no—
399#97—91no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3D3×D414yes—
403C22×D3—34no—
404C22×D3—64no—
405C22×D3—64no—
406C22×D3—64no—
407C22×D3—128no—
408C22×D3—128no—
409C22×D3—128no—
410C22×D3—128no—
411C22×D3—128no—
412C22×D3—128no—
413C22×D3—244no—
414C22×D3—244no—
415C22×D3—244no—
416C3×D4—24no—
417C3×D4—24no—
418C3×D4—24no—
419C3×D4—24no—
420C3×D4—48no—
421C3×D4—84no—
422C2×C3×C4—24no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4D3×D414yes—
427C2×C3×C4C23×D314yes—
428#67—68no—
429#67—128no—
430#67—128no—
431#67—128no—
432#67—128no—
433#67—244no—
434C2×Dic3—34no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—64no—
438D12—38no—
439D12—38no—
440D12—64no—
441D12—64no—
442D12—64no—
443D12—64no—
444D12—128no—
445D12—128no—
446C4×D3—64no—
447C4×D3—64no—
448C4×D3—128no—
449C4×D3—128no—
450C4×D3—244no—
451Dic6—64no—
452Dic6—64no—
453C3×C8—24no—
454C3×C8D3×D418yescomplemented
455C3⋊C8—64no—
456C3⋊C8—64no—
457C2×C32—41no—
458C2×C32—81no—
459C2×C32—81no—
460C2×C32D4211yescharacteristic
461C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
462C2×C32#57611yescharacteristic
463C3⋊D3—22no—
464C3⋊D3—42no—
465C3⋊D3—42no—
466C3⋊D3—81no—
467C24—181no—
468C24—181no—
469C24—181no—
470#41—182no—
471#41—361no—
472C2×Q8—91no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—91no—
476C2×D4—91no—
477C2×D4—91no—
478C2×D4—91no—
479C2×D4—182no—
480C2×D4—181no—
481C2×D4—181no—
482C2×D4—181no—
483C2×D4—181no—
484C2×D4—181no—
485C2×D4—182no—
486C2×D4—182no—
487C2×D4—181no—
488C2×D4—181no—
489C2×D4—361no—
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—182no—
501SD16—182no—
502SD16—361no—
503D8—22no—
504D8—94no—
505D8—182no—
506D8—182no—
507D8—182no—
508D8—361no—
509M16—22no—
510C2×C8—91no—
511C2×C8—91no—
512C2×C8—182no—
513C2×C8C22×C3⋊D311yescharacteristic
514C2×C8C22×C3⋊D311yescharacteristic
515C4⋊C4—91no—
516C4⋊C4—181no—
517C4⋊C4C22×C3⋊D311yescharacteristic
518C4⋊C4C22×C3⋊D311yescharacteristic
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—91no—
522C22⋊C4—91no—
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—24no—
533C22×C3—44no—
534C22×C3—44no—
535C22×C3—44no—
536C22×C3—44no—
537C22×C3—44no—
538C22×C3—44no—
539C22×C3C2×D3×D414yes—
540C2×D3—38no—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—68no—
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—2416no—
553C2×D3—2416no—
554C2×D3—2416no—
555C3×C4—24no—
556C3×C4—44no—
557C3×C4—44no—
558C3×C4C2×D3×D414yes—
559C3×C4#100914yes—
560Dic3—64no—
561Dic3—64no—
562Dic3—64no—
563Dic3—124no—
564C32#326411yescharacteristic, complemented, Sylow
565C23—21no—
566C23—21no—
567C23—91no—
568C23—181no—
569C23—181no—
570C23—181no—
571C23—362no—
572C23—362no—
573C23—362no—
574C23—362no—
575C23—362no—
576C23—362no—
577C23—721no—
578C23—721no—
579C23—721no—
580C23D4×C3⋊D311yescharacteristic
581Q8—181no—
582Q8—181no—
583D4—21no—
584D4—21no—
585D4—21no—
586D4—21no—
587D4—42no—
588D4—81no—
589D4—92no—
590D4—92no—
591D4—182no—
592D4—181no—
593D4—181no—
594D4—181no—
595D4—181no—
596D4—362no—
597D4—362no—
598D4—362no—
599D4—362no—
600D4—362no—
601D4—362no—
602D4—721no—
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—181no—
620C8—181no—
621C8D4×C3⋊D312yescomplemented
622C2×C3—44no—
623C2×C3—84no—
624C2×C3—84no—
625C2×C3#560914yes—
626C2×C3D3×AGL(1,ℤ/8)14yes—
627C2×C3#577414yes—
628D3—68no—
629D3—128no—
630D3—128no—
631D3—244no—
632C22—21no—
633C22—21no—
634C22—21no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—92no—
642C22—181no—
643C22—181no—
644C22—182no—
645C22—182no—
646C22—361no—
647C22—361no—
648C22—361no—
649C22—361no—
650C22—361no—
651C22—361no—
652C22—361no—
653C22—724no—
654C22—724no—
655C22—724no—
656C22C2×D4×C3⋊D311yescharacteristic
657C4—21no—
658C4—41no—
659C4—41no—
660C4—181no—
661C4—181no—
662C4—181no—
663C4—361no—
664C4C2×D4×C3⋊D311yescharacteristic
665C4#6436611yescharacteristic
666C3#8088114yescomplemented
667C2—41no—
668C2—81no—
669C2—81no—
670C2—182no—
671C2—362no—
672C2—362no—
673C2—721no—
674C2#1059608011yescharacteristic
675C2C3⋊D3×AGL(1,ℤ/8)11yescharacteristic
676C2#1059624511yescharacteristic
subgroupG/H
centerC22C2×D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC32×#469C2
socleC22×C32C22×D4
hypercenter#469C3⋊D3
hypocenterC32#3264
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #469

Complements

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

NH ≅ G/Ntype
1. C2×D8×C3⋊D3C2semidirect
2. C2×#64117C2semidirect
3. #10596083C2semidirect
4. #10596080C2semidirect
5. C32×#469C2semidirect
6. #10592853C2semidirect
7. #10592826C2semidirect
8. #10592736C2semidirect
9. #10592735C2semidirect
10. #10592568C2semidirect
11. #10592563C2semidirect
12. #10592486C2semidirect
13. #10592485C2semidirect
14. #10592475C2semidirect
15. #10592472C2semidirect
19. C2×D4×C3⋊D3C22semidirect
20. C2×#3828C22semidirect
21. C22×C4⋊(C3⋊D3)C22semidirect
22. C2×C32×D8C22semidirect
23. C2×C32×M16C22semidirect
24. C32×#121C22semidirect
25. C32×#121C22semidirect
26. #64149C22semidirect
30. #64145C22semidirect
31. C2×#3754C22semidirect
33. C2×#3753C22semidirect
34. C2×#3753C22semidirect
39. C2×#3745C22semidirect
40. C2×#3744C22semidirect
41. C2×#3744C22semidirect
42. C2×C8×C3⋊D3C22semidirect
43. #64106C22semidirect
45. #64102C22semidirect
46. #64102C22semidirect
51. C32×#106C22semidirect
52. C32×#102C22semidirect
53. C32×#102C22semidirect
54. #63657C22semidirect
55. #63647C22semidirect
56. #63642C22semidirect
57. #63641C22semidirect
58. #63637C22semidirect
59. #63636C22semidirect
60. #63636C22semidirect
61. #63636C22semidirect
66. C3×#469D3semidirect
136. #3745D4semidirect
146. C2×C3×D8C2×D3semidirect
147. C2×C3×M16C2×D3semidirect
148. C3×#121C2×D3semidirect
149. C3×#121C2×D3semidirect
175. C3×#106C2×D3semidirect
176. C3×#102C2×D3semidirect
177. C3×#102C2×D3semidirect
231. C4⋊(C3⋊D3)C2×D4semidirect
240. C32×C8C2×D4semidirect
248. #469C3⋊D3semidirect
345. C2×C3⋊D3AGL(1,ℤ/8)semidirect
370. C2×D8C2×C3⋊D3semidirect
371. C2×M16C2×C3⋊D3semidirect
380. #121C2×C3⋊D3semidirect
381. #121C2×C3⋊D3semidirect
389. #106C2×C3⋊D3semidirect
395. #102C2×C3⋊D3semidirect
396. #102C2×C3⋊D3semidirect
454. C3×C8D3×D4semidirect
564. C32#3264semidirect
621. C8D4×C3⋊D3semidirect
666. C3#80881semidirect

Maximal subgroups

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

subgroupindex
C2×D8×C3⋊D32
C2×#641172
#105960832
#105960802
C32×#4692
#105928532
#105928262
#105927362
#105927352
#105925682
#105925632
#105924862
#105924852
#105924752
#105924722
#808813