Finite Group Databasebeta

← #10813365

Subgroups — #10813365

Order 768.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×C4⋊C4C211yesmaximal, characteristic
2#82335C211yesmaximal, characteristic
3C2×#5011C211yesmaximal, characteristic
4C2×#4964C211yesmaximal, characteristic, complemented
5C22×#807C211yesmaximal, characteristic, complemented
6#71556C211yesmaximal, characteristic, complemented
7#71555C211yesmaximal, characteristic, complemented
8#69578C211yesmaximal, characteristic, complemented
9#69567C211yesmaximal, characteristic, complemented
10#69513C211yesmaximal, characteristic, complemented
11#69511C211yesmaximal, characteristic, complemented
12#69506C211yesmaximal, characteristic, complemented
13#69504C211yesmaximal, characteristic, complemented
14#69481C211yesmaximal, characteristic, complemented
15#69468C211yesmaximal, characteristic, complemented
16#22661—31nomaximal, Sylow
17C2×C3×C4×D4—21no—
18C2×C3×C4×D4C2211yescharacteristic
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C4⋊C4C2211yescharacteristic
21C2×#926C2211yescharacteristic
22C22×C4⋊Dic3C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C23×C3⋊C8C2211yescharacteristic
25C3×#389—21no—
26C3×#385—21no—
27C3×#385—21no—
28C3×#384C2211yescharacteristic
29C3×#380C2211yescharacteristic
30C3×#380C2211yescharacteristic
31C3×C4×C4⋊C4C2211yescharacteristic
32#5220—21no—
33#5212C2211yescharacteristic
34#5212C2211yescharacteristic
35C2×#830C2211yescharacteristic
36C2×#830C2211yescharacteristic
37#5011C418yescomplemented
38#4980—21no—
39#4964—24no—
40C2×#808C2211yescharacteristic
41C2×#808C2211yescharacteristic
42C2×#808C2211yescharacteristic
43C2×#808C2211yescharacteristic
44C2×#807—24no—
45C2×#807C2211yescharacteristic
46C2×#807C2211yescharacteristic
47C2×#807C2211yescharacteristic
48C2×#807C2211yescharacteristic
49C2×#807C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4951—21no—
52Dic3×C22⋊C4—21no—
53#4936C2211yescharacteristic
54C4×C4⋊Dic3C2211yescharacteristic
55C2×C4⋊(C3⋊C8)C2211yescharacteristic
56C2×#803C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#435—31no—
64C2×#428—31no—
65C22×#107—31no—
66#2352—31no—
67D4×C4⋊C4D311yescharacteristic
68#1949—31no—
69#1947—31no—
70#1854—31no—
71#1853—31no—
72#1852—31no—
73#1852—31no—
74#1847—31no—
75#1809—31no—
76#1807—31no—
77#1776—31no—
78C22×C3×D4D411yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C23×C3×C4C2311yescharacteristic
83C23×Dic3—21no—
84C3×C4×D4—44no—
85C3×C4×D4C2×C414yes—
86C3×C4×D4Q814yes—
87C2×C3×C4⋊C4—22no—
88C2×C3×C4⋊C4—22no—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—41no—
94C2×C3×C4⋊C4—41no—
95C2×C3×C4⋊C4D411yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×#217—21no—
107C2×#217—21no—
108C2×#217—21no—
109#926—22no—
110#926—41no—
111C2×C4⋊Dic3—22no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—41no—
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4×Dic3—21no—
119C2×C4×Dic3—21no—
120C2×#208—22no—
121C2×#208—22no—
122C2×#208C2×C414yescomplemented
123C22×C3⋊C8—22no—
124C22×C3⋊C8—22no—
125C22×C3⋊C8C2×C414yescomplemented
126C22×C3⋊C8C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C3×#95—21no—
131C3×#95—21no—
132C3×#95—21no—
133C3⋊#95—21no—
134C3⋊#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138#830C2×C414yescomplemented
139#830C2×C414yescomplemented
140#808—22no—
141#808—22no—
142#808—22no—
143#808—41no—
144#807—22no—
145#807—22no—
146#807—22no—
147#807—22no—
148#807—41no—
149#807D414yescomplemented
150C4⋊(C3⋊C8)C2×C414yescomplemented
151#803C2×C414yescomplemented
152C22×M16—31no—
153C23×C8—31no—
154C2×C4×D4—21no—
155C2×C4×D4C2×D311yescharacteristic
156C2×#117—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4C2×D311yescharacteristic
159C22×C4⋊C4C2×D311yescharacteristic
160#435—38no—
161#428—64no—
162C2×#107—31no—
163C2×#107—31no—
164C2×#107—31no—
165C2×#107—31no—
166C2×#107—31no—
167C2×#107—31no—
168C2×#107—64no—
169C2×#106—31no—
170C2×#106—31no—
171C2×#106—31no—
172C2×#106—31no—
173C2×C4⋊C8—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97—31no—
177#389—21no—
178#388—61no—
179#387—61no—
180#386—61no—
181#385—21no—
182#385—21no—
183#384C2×D311yescharacteristic
184#382—31no—
185#380—31no—
186#380—31no—
187#380C2×D311yescharacteristic
188#380C2×D311yescharacteristic
189C4×C4⋊C4—31no—
190C4×C4⋊C4C2×D311yescharacteristic
191C4×C22⋊C4—61no—
192#340—31no—
193#340—31no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198C24×C3C2×D411yescharacteristic
199C24×C3C2×D411yescharacteristic
200C2×C3×D4—22no—
201C2×C3×D4—22no—
202C2×C3×D4C4⋊C414yes—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—81no—
220C22×C3×C4—81no—
221C22×C3×C4C22×C412yes—
222C22×C3×C4C22×C412yes—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×Q812yes—
228C22×C3×C4C2×Q812yes—
229C22×C3×C4C2411yescharacteristic
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—42no—
235C22×Dic3—42no—
236C22×Dic3—81no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—42no—
245C3×C4⋊C4—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—81no—
248C3×C4⋊C4C4⋊C414yes—
249C3×C4⋊C4C2×D412yes—
250C3×C22⋊C4—42no—
251C3×C22⋊C4—42no—
252C3×C22⋊C4C4⋊C414yes—
253C3×C22⋊C4C4⋊C414yes—
254C3×C42—42no—
255C3×C42C22×C412yes—
256C3×C42C2×Q812yes—
257#217—42no—
258#217—42no—
259#217—81no—
260C4⋊Dic3—21no—
261C4⋊Dic3—21no—
262C4⋊Dic3—21no—
263C4⋊Dic3—21no—
264C4⋊Dic3—21no—
265C4⋊Dic3—21no—
266C4⋊Dic3—21no—
267C4⋊Dic3—42no—
268C4⋊Dic3C2×D412yes—
269C4×Dic3—42no—
270C4×Dic3—81no—
271#208—28no—
272C2×C3⋊C8—21no—
273C2×C3⋊C8—21no—
274C2×C3⋊C8—21no—
275C2×C3⋊C8—21no—
276C2×C3⋊C8—21no—
277C2×C3⋊C8—21no—
278C2×C3⋊C8—28no—
279C2×C3⋊C8C22×C412yes—
280C2×C3⋊C8C22×C412yes—
281C2×C3⋊C8C22×C412yes—
282C2×C3⋊C8C22×C412yes—
283C2×C3⋊C8C2×D412yes—
284C2×C3⋊C8#4112yes—
285C22×D4#6711yescharacteristic
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—61no—
289C23×C4C22×D311yescharacteristic
290C23×C4C22×D311yescharacteristic
291C2×M16—34no—
292C2×M16—62no—
293C2×M16—62no—
294C22×C8—31no—
295C22×C8—34no—
296C22×C8—31no—
297C22×C8—31no—
298C22×C8—31no—
299C22×C8—62no—
300C22×C8—62no—
301C4×D4—44no—
302C4×D4Dic614yes—
303C4×D4C4×D314yes—
304#117—62no—
305#117—121no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—31no—
315C2×C4⋊C4—31no—
316C2×C4⋊C4—41no—
317C2×C4⋊C4—41no—
318C2×C4⋊C4—62no—
319C2×C4⋊C4—61no—
320C2×C4⋊C4—121no—
321C2×C4⋊C4#6711yescharacteristic
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C4⋊C4C22×D311yescharacteristic
325C2×C4⋊C4C22×D311yescharacteristic
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4#6711yescharacteristic
332C2×C22⋊C4#6711yescharacteristic
333C2×C42—21no—
334C2×C42—61no—
335C2×C42—61no—
336C2×C42C22×D311yescharacteristic
337#107—34no—
338#107—62no—
339#107—62no—
340#107—62no—
341#107—62no—
342#107—121no—
343#106—62no—
344#106—62no—
345#106—62no—
346#106—121no—
347C4⋊C8—34no—
348C22⋊C8—34no—
349C22⋊C8—34no—
350#97—34no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—61no—
355#95—61no—
356#95—61no—
357#95—61no—
358#95—61no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3C2×C4⋊C412yes—
370C23×C3C2×C4⋊C412yes—
371C23×C3AGL(1,ℤ/8)12yes—
372C23×C3#13712yes—
373C23×C3C22×D411yescharacteristic
374C3×D4—28no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—84no—
404C2×C3×C4—84no—
405C2×C3×C4C2×C4⋊C412yes—
406C2×C3×C4C2×C4⋊C412yes—
407C2×C3×C4C2×C4⋊C412yes—
408C2×C3×C4C2×C4⋊C412yes—
409C2×C3×C4C23×C411yescharacteristic
410C2×C3×C4C22×D411yescharacteristic
411C2×C3×C4C22×Q811yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4H(5,𝔽2)11yescharacteristic
414C2×C3×C42−1+411yescharacteristic
415C2×Dic3—22no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—84no—
428C3⋊C8—22no—
429C3⋊C8—22no—
430C3⋊C8—22no—
431C3⋊C8C4×D414yescomplemented
432C24C2×#6711yescharacteristic
433C24C2×#6711yescharacteristic
434C2×D4—22no—
435C2×D4—22no—
436C2×D4Dic3⋊C414yes—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—61no—
454C22×C4—61no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—81no—
458C22×C4—81no—
459C22×C4—122no—
460C22×C4—122no—
461C22×C4—241no—
462C22×C4C2×Dic612yes—
463C22×C4C2×Dic612yes—
464C22×C4C2×C4×D312yes—
465C22×C4C2×C4×D312yes—
466C22×C4C2×#6711yescharacteristic
467C22×C4C2×#6711yescharacteristic
468C22×C4C2×#6711yescharacteristic
469C22×C4C2×#6711yescharacteristic
470C22×C4C23×D311yescharacteristic
471M16—68no—
472C2×C8—32no—
473C2×C8—32no—
474C2×C8—32no—
475C2×C8—32no—
476C2×C8—32no—
477C2×C8—32no—
478C2×C8—68no—
479C2×C8—61no—
480C2×C8—61no—
481C2×C8—61no—
482C2×C8—61no—
483C2×C8—61no—
484C2×C8—61no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—32no—
493C4⋊C4—42no—
494C4⋊C4—42no—
495C4⋊C4—42no—
496C4⋊C4—61no—
497C4⋊C4—61no—
498C4⋊C4—61no—
499C4⋊C4—61no—
500C4⋊C4—61no—
501C4⋊C4—61no—
502C4⋊C4—61no—
503C4⋊C4—81no—
504C4⋊C4—122no—
505C4⋊C4Dic3⋊C414yes—
506C4⋊C4D3×D412yes—
507C22⋊C4—42no—
508C22⋊C4—42no—
509C22⋊C4—122no—
510C22⋊C4—122no—
511C22⋊C4—241no—
512C22⋊C4Dic3⋊C414yes—
513C22⋊C4Dic3⋊C414yes—
514C42—42no—
515C42—122no—
516C42—241no—
517C42C2×Dic612yes—
518C42C2×C4×D312yes—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—41no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—41no—
532C22×C3#42814yescomplemented
533C22×C3C22×C4⋊C411yescharacteristic
534C22×C3D4211yescharacteristic
535C22×C3#54711yescharacteristic
536C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
537C22×C3C2×#13711yescharacteristic
538C22×C3#57611yescharacteristic
539C22×C3#57811yescharacteristic
540C3×C4—22no—
541C3×C4—22no—
542C3×C4—22no—
543C3×C4—22no—
544C3×C4—42no—
545C3×C4—81no—
546C3×C4—81no—
547C3×C4—81no—
548C3×C4C2×C4×D411yescharacteristic
549C3×C4#52011yescharacteristic
550C3×C4D4×Q811yescharacteristic
551C3×C4#55411yescharacteristic
552Dic3—42no—
553Dic3—81no—
554Dic3—81no—
555Dic3—81no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×Dic3⋊C412yes—
567C23C2×Dic3⋊C412yes—
568C23#93212yes—
569C23#94212yes—
570C23C22×#6711yescharacteristic
571D4—28no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—62no—
601C2×C4—84no—
602C2×C4—84no—
603C2×C4—121no—
604C2×C4—121no—
605C2×C4—121no—
606C2×C4—121no—
607C2×C4—121no—
608C2×C4—121no—
609C2×C4—121no—
610C2×C4—121no—
611C2×C4—121no—
612C2×C4—121no—
613C2×C4—121no—
614C2×C4—244no—
615C2×C4C2×Dic3⋊C412yes—
616C2×C4C2×Dic3⋊C412yes—
617C2×C4C2×Dic3⋊C412yes—
618C2×C4C2×Dic3⋊C412yes—
619C2×C4C22×Dic611yescharacteristic
620C2×C4C22×C4×D311yescharacteristic
621C2×C4C2×D3×D411yescharacteristic
622C2×C4#100411yescharacteristic
623C2×C4D3×#4111yescharacteristic
624C2×C4#101011yescharacteristic
625C8—34no—
626C8—62no—
627C8—62no—
628C8—62no—
629C2×C3—24no—
630C2×C3—42no—
631C2×C3D4×C4⋊C411yescharacteristic
632C2×C3C2×#42811yescharacteristic
633C2×C3#291311yescharacteristic
634C2×C3#326411yescharacteristic
635C2×C3#327011yescharacteristic
636C2×C3#334311yescharacteristic
637C2×C3#334611yescharacteristic
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22#496414yescomplemented
652C22C22×Dic3⋊C411yescharacteristic
653C22C2×#93211yescharacteristic
654C22D4×#6711yescharacteristic
655C22C2×#94211yescharacteristic
656C22#582411yescharacteristic
657C22#583511yescharacteristic
658C22#583811yescharacteristic
659C4—22no—
660C4—22no—
661C4—22no—
662C4—22no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—122no—
668C4—241no—
669C4—241no—
670C4—241no—
671C4D4×Dic611yescharacteristic
672C4#553911yescharacteristic
673C4C4×D3×D411yescharacteristic
674C4#554611yescharacteristic
675C3#2266111yescharacteristic, complemented, Sylow
676C2—24no—
677C2—42no—
678C2C2×#496411yescharacteristic
679C2D4×Dic3⋊C411yescharacteristic
680C2#8256211yescharacteristic
681C2#8348811yescharacteristic
682C2#8351811yescharacteristic
683C2#8356511yescharacteristic
684C2#8362511yescharacteristic
subgroupG/H
centerC23C22×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×D4×C4⋊C4C2
socleC23×C3C22×D4
prime radicalC22×C3×D4D4
cosocleC22×C3×C4C24
hypercenterD4×C4⋊C4D3
hypocenterC3#22661
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×#4964C2semidirect
5. C22×#807C2semidirect
6. #71556C2semidirect
7. #71555C2semidirect
8. #69578C2semidirect
9. #69567C2semidirect
10. #69513C2semidirect
11. #69511C2semidirect
12. #69506C2semidirect
13. #69504C2semidirect
14. #69481C2semidirect
15. #69468C2semidirect
37. #5011C4semidirect
122. C2×#208C2×C4semidirect
125. C22×C3⋊C8C2×C4semidirect
138. #830C2×C4semidirect
139. #830C2×C4semidirect
149. #807D4semidirect
150. C4⋊(C3⋊C8)C2×C4semidirect
151. #803C2×C4semidirect
431. C3⋊C8C4×D4semidirect
532. C22×C3#428semidirect
651. C22#4964semidirect
675. C3#22661semidirect

Maximal subgroups

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

subgroupindex
C3×D4×C4⋊C42
#823352
C2×#50112
C2×#49642
C22×#8072
#715562
#715552
#695782
#695672
#695132
#695112
#695062
#695042
#694812
#694682
#226613