Finite Group Databasebeta

← #11902566

Subgroups — #11902566

Order 1152.

3409 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64319C212yesmaximal, complemented
2C3⋊D3×C4⋊Q8C211yesmaximal, characteristic, complemented
3C3×#5726C212yesmaximal, complemented
4#10595429C212yesmaximal, complemented
5#10595357C214yesmaximal, complemented
6#10594612C212yesmaximal, complemented
7#10594608C214yesmaximal, complemented
8D32×C4⋊C4C212yesmaximal, complemented
9#10594514C214yesmaximal, complemented
10#10594370C214yesmaximal, complemented
11C4×#3802C211yesmaximal, characteristic, complemented
12C4×#3802C211yesmaximal, characteristic, complemented
13#10593895C212yesmaximal, complemented
14D3×#547—32nomaximal
15C2×Q8×C3⋊D3C2212yes—
16C2×C3×#239C2214yescomplemented
17#64319—216no—
18C2×#3802C2214yes—
19C2×#3802C2211yescharacteristic
20C2×#3802C2211yescharacteristic
21C2×C4×D32C2214yes—
22C2×C4×D32C2212yes—
23C2×C4×D32C2212yes—
24C2×#3795C2214yescomplemented
25C2×#3795C2218yescomplemented
26C32×C4⋊Q8C2211yescharacteristic, complemented
27#64153C2212yescomplemented
28C4⋊C4×C3⋊D3C2212yes—
29C4⋊C4×C3⋊D3C2212yes—
30#64097C2212yescomplemented
31#64097C2212yescomplemented
32C42×C3⋊D3C2211yescharacteristic
33#64078C2211yescharacteristic, complemented
34C3×#946C2214yescomplemented
35C3×#895C2214yescomplemented
36C3×#894C2218yescomplemented
37C3×D3×C4⋊C4C2214yescomplemented
38C3×C4×D12C2212yescomplemented
39C3×C4×D12C2212yescomplemented
40#63921C2212yes—
41#63921C2212yes—
42#63921C2214yes—
43#63908C2214yescomplemented
44#63905C2218yescomplemented
45#63902C2212yescomplemented
46#63902C2212yescomplemented
47C4×#625C2212yescomplemented
48C4×#625C2212yescomplemented
49#63900C2211yescharacteristic
50#63900C2211yescharacteristic
51#63898C2212yescomplemented
52#63898C2212yescomplemented
53#63896C2218yescomplemented
54#63891C2218yescomplemented
55D3×C4⋊Dic3C2214yescomplemented
56#63885C2218yescomplemented
57#63884C2218yescomplemented
58#63883C2214yes—
59D3×Dic3⋊C4C2218yescomplemented
60#63857C2214yescomplemented
61C2×D3×#41—34no—
62C3×#547—32no—
63#5824—34no—
64#5726D312yescomplemented
65D3×C4⋊Q8—32no—
66D3×C4⋊Q8—61no—
67#5655—38no—
68D3×#123—38no—
69#5631—34no—
70D3×C22⋊Q8—34no—
71#5611—34no—
72D3×#121—34no—
73#5555—32no—
74#5551—32no—
75C4×D3×D4—32no—
76C4×D3×D4—32no—
77#5507—34no—
78C2×D3×C4⋊C4—34no—
79C22×D32C2312yes—
80C22×D32C2312yes—
81C2×C32×Q8C2312yes—
82Q8×C3⋊D3—28no—
83C2×C4×C3⋊D3C2314yes—
84C2×C4×C3⋊D3C2311yescharacteristic
85C2×C4×C3⋊D3C2311yescharacteristic
86C2×C4×C3⋊D3C2311yescharacteristic
87C2×#634C2312yes—
88C2×#634C2314yes—
89C3×#239—216no—
90C2×C3×D12C2318yes—
91C2×C3×D12C2312yes—
92C2×C3×D12C2312yes—
93C2×C3×C4×D3C2318yes—
94C2×C3×C4×D3C2314yes—
95C2×C3×C4×D3C2314yes—
96C2×#625C2318yes—
97C2×#625C2312yes—
98C2×#625C2312yes—
99C2×#624C2312yes—
100C2×#624C2312yes—
101C2×D3×Dic3C2318yes—
102C2×D3×Dic3C2314yes—
103C2×D3×Dic3C2314yes—
104#3802—216no—
105#3802—24no—
106#3802D418yescomplemented
107C4×D32—216no—
108C4×D32—28no—
109C4×D32—28no—
110#3795—216no—
111#3795—232no—
112C32×C4⋊C4C2312yes—
113C32×C4⋊C4C2312yes—
114C32×C42C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2312yes—
116C4⋊(C3⋊Dic3)C2312yes—
117#3750C2314yes—
118#3750C2314yes—
119C4×C3⋊Dic3C2311yescharacteristic
120C4×C3⋊Dic3C2311yescharacteristic
121C4×C3⋊Dic3C2311yescharacteristic
122C3×(C2×D3)⋊C4C2314yes—
123C3×(C2×D3)⋊C4C2314yes—
124C3×(C2×D3)⋊C4C2318yes—
125C3×C4⋊Dic3C2312yes—
126C3×C4⋊Dic3C2312yes—
127C3×Dic3⋊C4C2318yes—
128#3724C2312yes—
129#3724C2312yes—
130Dic3⋊Dic3C2318yes—
131(C2×D3)⋊Dic3C2318yes—
132(C2×D3)⋊Dic3C2314yes—
133(C2×D3)⋊Dic3C2314yes—
134C2×#547—91noSylow
135C2×C3×#41—34no—
136D3×#41—632no—
137C2×#239C2×D314yescomplemented
138C2×D3×Q8—34no—
139C2×D3×Q8—62no—
140C2×#237—38no—
141C2×#237—34no—
142C2×D3×D4—32no—
143C2×D3×D4—38no—
144C2×D3×D4—32no—
145C2×#235—38no—
146C2×#235—34no—
147C22×C4×D3—38no—
148C22×C4×D3—34no—
149C22×C4×D3—34no—
150C3×C4⋊Q8—21no—
151C3×C4⋊Q8C2×D312yescomplemented
152C3×#123—38no—
153C3×C22⋊Q8—34no—
154C3×#121—34no—
155C3×C4×D4—32no—
156C3×C4×D4—32no—
157C2×C3×C4⋊C4—34no—
158#946C2×D314yescomplemented
159#944—34no—
160#944—62no—
161#939—38no—
162#938—34no—
163#935—38no—
164D4×Dic3—32no—
165D4×Dic3—32no—
166#930—34no—
167#929—38no—
168C4×#67—34no—
169C4×#67—34no—
170C2×C4⋊Dic3—34no—
171#924—34no—
172C2×Dic3⋊C4—38no—
173#897—34no—
174#896—38no—
175#895C2×D314yescomplemented
176#894—38no—
177#894C2×D318yescomplemented
178#893—32no—
179#893—32no—
180D3×C4⋊C4—38no—
181D3×C4⋊C4—34no—
182D3×C4⋊C4—34no—
183D3×C4⋊C4—34no—
184D3×C4⋊C4—32no—
185D3×C4⋊C4—32no—
186D3×C4⋊C4—38no—
187D3×C4⋊C4—62no—
188D3×C4⋊C4—62no—
189D3×C4⋊C4C2×D314yescomplemented
190#888—34no—
191#888—34no—
192#888—62no—
193#888—62no—
194#886—38no—
195#884—38no—
196#883—38no—
197#883—38no—
198#67⋊C4—34no—
199#67⋊C4—34no—
200D3×C22⋊C4—34no—
201D3×C22⋊C4—34no—
202D3×C22⋊C4—38no—
203#878—38no—
204C4×D12C2×D312yescomplemented
205C4×D12C2×D312yescomplemented
206C42×D3—32no—
207C42×D3—61no—
208#869—32no—
209#869—61no—
210C22×C3⋊D3C2411yescharacteristic
211C22×C3×D3C2414yes—
212C22×C3×D3C2414yes—
213C2×D32—24no—
214C2×D32—24no—
215C2×D32—24no—
216C2×D32—24no—
217C2×D32—24no—
218C2×D32C2×D418yes—
219C32×Q8—24no—
220C2×C32×C4C2414yes—
221C2×C32×C4C2411yescharacteristic
222C2×C32×C4C2411yescharacteristic
223C2×C32×C4C2411yescharacteristic
224C2×C3⋊Dic3C2411yescharacteristic
225C2×C3⋊Dic3C2414yes—
226C2×C3⋊Dic3C2411yescharacteristic
227C2×C3⋊Dic3C2411yescharacteristic
228C4×C3⋊D3—22no—
229C4×C3⋊D3—28no—
230C4×C3⋊D3C2×D414yes—
231C4×C3⋊D3#4114yescomplemented
232#634—24no—
233#634—28no—
234C2×C3×Dic3C2414yes—
235C2×C3×Dic3C2414yes—
236C3×D12—216no—
237C3×D12—24no—
238C3×D12C2×D418yescomplemented
239C3×C4×D3—216no—
240C3×C4×D3—28no—
241C3×C4×D3—28no—
242#625—216no—
243#625—24no—
244#625C2×D418yescomplemented
245#624—24no—
246#624—24no—
247D3×Dic3—216no—
248D3×Dic3—28no—
249D3×Dic3—28no—
250C22×#41—92no—
251#547—32no—
252#547—94no—
253#547—92no—
254#547—94no—
255#547—94no—
256C2×C4⋊Q8—91no—
257C2×#123—94no—
258C2×C22⋊Q8—92no—
259C2×#121—92no—
260C2×C4×D4—91no—
261C2×C4×D4—91no—
262C22×C4⋊C4—92no—
263C23×D3—34no—
264C23×D3—34no—
265C3×#41—616no—
266C2×C3×Q8—22no—
267C2×C3×Q8C22×D314yes—
268C2×C3×D4—32no—
269C2×C3×D4—32no—
270C2×C3×D4—38no—
271C22×C3×C4—38no—
272C22×C3×C4—34no—
273C22×C3×C4—34no—
274C2×#67—34no—
275C2×#67—34no—
276C2×#67—38no—
277C2×#67—38no—
278C22×Dic3—34no—
279C22×Dic3—34no—
280C22×Dic3—38no—
281#239—216no—
282D3×Q8—616no—
283D3×Q8—128no—
284#237—632no—
285#237—616no—
286D3×D4—316no—
287D3×D4—68no—
288D3×D4—632no—
289#235—632no—
290#235—616no—
291C2×D12C22×D312yes—
292C2×D12C22×D318yes—
293C2×D12C22×D312yes—
294C2×C4×D3—32no—
295C2×C4×D3—32no—
296C2×C4×D3—34no—
297C2×C4×D3—34no—
298C2×C4×D3—38no—
299C2×C4×D3—32no—
300C2×C4×D3—38no—
301C2×C4×D3—34no—
302C2×C4×D3—34no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—64no—
307C2×C4×D3—616no—
308C2×C4×D3—616no—
309C2×C4×D3—632no—
310C2×C4×D3C22×D314yes—
311C2×C4×D3C22×D314yes—
312C2×C4×D3C22×D318yes—
313C2×Dic6—34no—
314C2×Dic6—38no—
315C2×Dic6—62no—
316C2×Dic6—64no—
317C3×C4⋊C4—22no—
318C3×C4⋊C4—22no—
319C3×C4⋊C4—32no—
320C3×C4⋊C4—38no—
321C3×C4⋊C4—32no—
322C3×C4⋊C4C22×D314yes—
323C3×C4⋊C4C22×D314yes—
324C3×C22⋊C4—38no—
325C3×C22⋊C4—34no—
326C3×C22⋊C4—34no—
327C3×C42—21no—
328C3×C42C22×D312yes—
329#217—38no—
330#217—34no—
331#217—34no—
332(C2×D3)⋊C4—34no—
333(C2×D3)⋊C4—38no—
334(C2×D3)⋊C4—34no—
335(C2×D3)⋊C4C22×D314yes—
336(C2×D3)⋊C4C22×D314yes—
337(C2×D3)⋊C4C22×D318yes—
338C4⋊Dic3—34no—
339C4⋊Dic3—34no—
340C4⋊Dic3—38no—
341C4⋊Dic3—62no—
342C4⋊Dic3—62no—
343C4⋊Dic3C22×D312yes—
344C4⋊Dic3C22×D312yes—
345Dic3⋊C4—38no—
346Dic3⋊C4—38no—
347Dic3⋊C4—34no—
348Dic3⋊C4—34no—
349Dic3⋊C4—38no—
350Dic3⋊C4—64no—
351Dic3⋊C4—64no—
352Dic3⋊C4C22×D318yes—
353C4×Dic3—32no—
354C4×Dic3—32no—
355C4×Dic3—32no—
356C4×Dic3—61no—
357C4×Dic3—61no—
358C4×Dic3—61no—
359C22×C32C2511yescharacteristic
360C2×C3⋊D3C22×D412yes—
361C2×C3⋊D3C2×#4112yes—
362C2×C3⋊D32−1+412yes—
363C2×C3×D3—24no—
364C2×C3×D3—24no—
365C2×C3×D3—24no—
366C2×C3×D3—24no—
367C2×C3×D3—24no—
368C2×C3×D3C22×D418yes—
369D32—216no—
370D32—48no—
371C32×C4—21no—
372C32×C4—24no—
373C32×C4C22×D412yes—
374C32×C4C2×#4112yescomplemented
375C3⋊Dic3—21no—
376C3⋊Dic3—24no—
377C3⋊Dic3C22×D412yes—
378C3⋊Dic3C2×#4112yescomplemented
379C3×Dic3—24no—
380C3×Dic3—24no—
381C2×#41—34no—
382C2×#41—98no—
383C2×#41—94no—
384C2×#41—1816no—
385C22×Q8—92no—
386C22×D4—91no—
387C22×D4—91no—
388C22×D4—94no—
389C23×C4—92no—
390C23×C4—94no—
391C23×C4—92no—
392C4⋊Q8—92no—
393C4⋊Q8—92no—
394C4⋊Q8—92no—
395C4⋊Q8—91no—
396C4⋊Q8D3211yescharacteristic, complemented
397#123—38no—
398#123—98no—
399#123—98no—
400#123—98no—
401C22⋊Q8—34no—
402C22⋊Q8—98no—
403C22⋊Q8—94no—
404#121—34no—
405#121—98no—
406#121—94no—
407C4×D4—32no—
408C4×D4—32no—
409C4×D4—92no—
410C4×D4—92no—
411C4×D4—92no—
412C4×D4—92no—
413C4×D4—92no—
414C4×D4—92no—
415C2×C4⋊C4—34no—
416C2×C4⋊C4—91no—
417C2×C4⋊C4—94no—
418C2×C4⋊C4—91no—
419C2×C4⋊C4—98no—
420C2×C4⋊C4—94no—
421C2×C4⋊C4—92no—
422C2×C4⋊C4—92no—
423C2×C22⋊C4—92no—
424C2×C22⋊C4—92no—
425C2×C22⋊C4—94no—
426C2×C42—91no—
427C23×C3—34no—
428C23×C3—34no—
429C22×D3—32no—
430C22×D3—316no—
431C22×D3—61no—
432C22×D3—68no—
433C22×D3—68no—
434C22×D3—68no—
435C22×D3—68no—
436C22×D3—68no—
437C22×D3C23×D314yes—
438C22×D3C23×D314yes—
439C3×Q8—28no—
440C3×Q8—44no—
441C3×D4—38no—
442C3×D4—616no—
443C3×D4—64no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—24no—
448C2×C3×C4—34no—
449C2×C3×C4—34no—
450C2×C3×C4—616no—
451C2×C3×C4—68no—
452C2×C3×C4—68no—
453C2×C3×C4C23×D312yes—
454C2×C3×C4C23×D318yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457#67—316no—
458#67—68no—
459#67—616no—
460#67—616no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—32no—
464C2×Dic3—38no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—61no—
468C2×Dic3—64no—
469C2×Dic3—68no—
470C2×Dic3—68no—
471C2×Dic3—616no—
472C2×Dic3C23×D314yes—
473C2×Dic3C23×D314yes—
474D12—216no—
475D12—24no—
476D12D3×D418yescomplemented
477C4×D3—216no—
478C4×D3—28no—
479C4×D3—28no—
480C4×D3—38no—
481C4×D3—38no—
482C4×D3—64no—
483C4×D3—64no—
484C4×D3—68no—
485C4×D3—68no—
486C4×D3—68no—
487C4×D3—68no—
488C4×D3—64no—
489C4×D3—616no—
490C4×D3—64no—
491C4×D3—616no—
492C4×D3—128no—
493Dic6—616no—
494Dic6—68no—
495Dic6—128no—
496Dic6—124no—
497C2×C32C23×D411yescharacteristic
498C2×C32C22×#4111yescharacteristic
499C2×C32C2×2−1+411yescharacteristic
500C3⋊D3#54714yescomplemented
501C3×D3—28no—
502C3×D3—44no—
503C24—92no—
504C24—92no—
505#41—616no—
506#41—1816no—
507#41—1832no—
508C2×Q8—94no—
509C2×Q8—92no—
510C2×Q8—188no—
511C2×Q8C2×D3212yes—
512C2×D4—32no—
513C2×D4—32no—
514C2×D4—38no—
515C2×D4—98no—
516C2×D4—92no—
517C2×D4—92no—
518C2×D4—98no—
519C2×D4—184no—
520C2×D4—1816no—
521C22×C4—34no—
522C22×C4—38no—
523C22×C4—34no—
524C22×C4—92no—
525C22×C4—92no—
526C22×C4—94no—
527C22×C4—98no—
528C22×C4—94no—
529C22×C4—91no—
530C22×C4—91no—
531C22×C4—91no—
532C22×C4—94no—
533C22×C4—188no—
534C22×C4—188no—
535C22×C4—1816no—
536C4⋊C4—32no—
537C4⋊C4—38no—
538C4⋊C4—32no—
539C4⋊C4—92no—
540C4⋊C4—98no—
541C4⋊C4—92no—
542C4⋊C4—94no—
543C4⋊C4—92no—
544C4⋊C4—94no—
545C4⋊C4—92no—
546C4⋊C4C2×D3212yes—
547C4⋊C4C2×D3212yes—
548C22⋊C4—34no—
549C22⋊C4—34no—
550C22⋊C4—38no—
551C22⋊C4—94no—
552C22⋊C4—94no—
553C22⋊C4—98no—
554C42—91no—
555C42—91no—
556C42—91no—
557C42C2×D3211yescharacteristic
558C22×C3—21no—
559C22×C3—38no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—64no—
565C22×C3C24×D312yes—
566C2×D3—24no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—34no—
572C2×D3—34no—
573C2×D3—34no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—62no—
577C2×D3—632no—
578C2×D3—1216no—
579C2×D3C2×D3×D418yes—
580C3×C4—22no—
581C3×C4—28no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—22no—
585C3×C4—44no—
586C3×C4—64no—
587C3×C4—64no—
588C3×C4C2×D3×D414yes—
589C3×C4D3×#4114yescomplemented
590Dic3—24no—
591Dic3—24no—
592Dic3—34no—
593Dic3—34no—
594Dic3—62no—
595Dic3—62no—
596Dic3—62no—
597Dic3—68no—
598Dic3—62no—
599Dic3—124no—
600C32C2×#54711yescharacteristic, complemented, Sylow
601C23—34no—
602C23—34no—
603C23—98no—
604C23—91no—
605C23—184no—
606C23—184no—
607C23—184no—
608C23—184no—
609C23—184no—
610Q8—24no—
611Q8—188no—
612Q8—184no—
613D4—38no—
614D4—616no—
615D4—64no—
616D4—98no—
617D4—184no—
618D4—1816no—
619C2×C4—34no—
620C2×C4—34no—
621C2×C4—616no—
622C2×C4—68no—
623C2×C4—68no—
624C2×C4—91no—
625C2×C4—91no—
626C2×C4—94no—
627C2×C4—94no—
628C2×C4—91no—
629C2×C4—94no—
630C2×C4—188no—
631C2×C4—182no—
632C2×C4—184no—
633C2×C4—184no—
634C2×C4—188no—
635C2×C4—188no—
636C2×C4—1816no—
637C2×C4C22×D3211yescharacteristic
638C2×C4C22×D3214yes—
639C2×C4C22×D3211yescharacteristic
640C2×C4C22×D3211yescharacteristic
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—68no—
645C2×C3—124no—
646C2×C3C22×D3×D412yes—
647C2×C3C2×D3×#4112yes—
648C2×C3D3×2−1+412yes—
649D3—28no—
650D3—38no—
651D3—44no—
652D3—64no—
653C22—38no—
654C22—64no—
655C22—64no—
656C22—64no—
657C22—64no—
658C22—64no—
659C22—92no—
660C22—92no—
661C22—92no—
662C22—1816no—
663C22—368no—
664C22C23×D3211yescharacteristic
665C4—24no—
666C4—21no—
667C4—64no—
668C4—64no—
669C4—92no—
670C4—92no—
671C4—184no—
672C4—181no—
673C4D32×D412yes—
674C4#6431912yescomplemented
675C3—21no—
676C3D3×#54712yescomplemented
677C2—68no—
678C2—94no—
679C2—124no—
680C2C2×D32×D411yescharacteristic
681C2C2×#6431911yescharacteristic
682C2#1059668711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4⋊Q8C22
hypercenterC4⋊Q8D32
hypocenterC32C2×#547
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#64319C2semidirect
2. C3⋊D3×C4⋊Q8C2semidirect
3. C3×#5726C2semidirect
4. #10595429C2semidirect
5. #10595357C2semidirect
6. #10594612C2semidirect
7. #10594608C2semidirect
8. D32×C4⋊C4C2semidirect
9. #10594514C2semidirect
10. #10594370C2semidirect
11. C4×#3802C2semidirect
12. C4×#3802C2semidirect
13. #10593895C2semidirect
16. C2×C3×#239C22semidirect
24. C2×#3795C22semidirect
25. C2×#3795C22semidirect
26. C32×C4⋊Q8C22semidirect
27. #64153C22semidirect
30. #64097C22semidirect
31. #64097C22semidirect
33. #64078C22semidirect
34. C3×#946C22semidirect
35. C3×#895C22semidirect
36. C3×#894C22semidirect
37. C3×D3×C4⋊C4C22semidirect
38. C3×C4×D12C22semidirect
39. C3×C4×D12C22semidirect
43. #63908C22semidirect
44. #63905C22semidirect
45. #63902C22semidirect
46. #63902C22semidirect
47. C4×#625C22semidirect
48. C4×#625C22semidirect
51. #63898C22semidirect
52. #63898C22semidirect
53. #63896C22semidirect
54. #63891C22semidirect
55. D3×C4⋊Dic3C22semidirect
56. #63885C22semidirect
57. #63884C22semidirect
59. D3×Dic3⋊C4C22semidirect
60. #63857C22semidirect
64. #5726D3semidirect
106. #3802D4semidirect
137. C2×#239C2×D3semidirect
151. C3×C4⋊Q8C2×D3semidirect
158. #946C2×D3semidirect
175. #895C2×D3semidirect
177. #894C2×D3semidirect
189. D3×C4⋊C4C2×D3semidirect
204. C4×D12C2×D3semidirect
205. C4×D12C2×D3semidirect
231. C4×C3⋊D3#41semidirect
238. C3×D12C2×D4semidirect
244. #625C2×D4semidirect
374. C32×C4C2×#41semidirect
378. C3⋊Dic3C2×#41semidirect
396. C4⋊Q8D32semidirect
476. D12D3×D4semidirect
500. C3⋊D3#547semidirect
589. C3×C4D3×#41semidirect
600. C32C2×#547semidirect
674. C4#64319semidirect
676. C3D3×#547semidirect

Maximal subgroups

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

subgroupindex
C2×#643192
C3⋊D3×C4⋊Q82
C3×#57262
#105954292
#105953572
#105946122
#105946082
D32×C4⋊C42
#105945142
#105943702
C4×#38022
#105938952
D3×#5473