Finite Group Databasebeta

← #41×#638 #11902747

Subgroups — #41×#638 #11902747

Order 1152.

4944 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#41C211yesmaximal, characteristic, complemented
2C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
3#10596305C211yesmaximal, characteristic, complemented
4#10596303C213yesmaximal, complemented
5#10596302C211yesmaximal, characteristic, complemented
6#10596300C213yesmaximal, complemented
7#10596299C213yesmaximal, complemented
8#41×C3⋊Dic3C211yesmaximal, characteristic, complemented
9#10596295C213yesmaximal, complemented
10#10596288C211yesmaximal, characteristic, complemented
11Q8×#638C211yesmaximal, characteristic, complemented
12#10596277C213yesmaximal, complemented
13D4×#638C213yesmaximal, complemented
14#10596262C213yesmaximal, complemented
15C2×C4×#638C213yesmaximal, complemented
16#41×#67—34nomaximal
17C2×C32×#41—28no—
18C2×C32×#41C2211yescharacteristic
19C2×C32×#41C2213yescomplemented
20C2×C32×#41C2213yescomplemented
21C2×C32×#41C2211yescharacteristic, complemented
22C22×C32×Q8C2211yescharacteristic, complemented
23C22×C32×D4C2213yescomplemented
24C23×C32×C4C2213yescomplemented
25C22×#638C2213yes—
26#41×C3⋊D3—28no—
27C2×#3832C2211yescharacteristic, complemented
28C2×Q8×C3⋊D3C2211yescharacteristic, complemented
29C2×#3830C2213yescomplemented
30C2×D4×C3⋊D3C2213yescomplemented
31C2×#3828C2213yescomplemented
32C22×C4×C3⋊D3C2213yescomplemented
33#64162C2216yescomplemented
34C2×#3757C2213yescomplemented
35#64156C2213yescomplemented
36#64155C2213yescomplemented
37#64155C2213yescomplemented
38Q8×C3⋊Dic3C2211yescharacteristic, complemented
39Q8×C3⋊Dic3C2211yescharacteristic, complemented
40#64153C2213yescomplemented
41#64149C2213yescomplemented
42#64148C2216yescomplemented
43#64148C2216yescomplemented
44#64147C2213yescomplemented
45#64147C2213yescomplemented
46#64146C2216yescomplemented
47#64145C2213yescomplemented
48#64144C2216yescomplemented
49D4×C3⋊Dic3C2213yescomplemented
50D4×C3⋊Dic3C2213yescomplemented
51#64139C2213yescomplemented
52#64139C2213yescomplemented
53#64138C2216yescomplemented
54C4×#638C2211yescharacteristic
55C4×#638C2213yes—
56C4×#638C2213yescomplemented
57C4×#638C2213yescomplemented
58C4×#638C2213yescomplemented
59C4×#638C2213yescomplemented
60C4×#638C2213yescomplemented
61C4×#638C2213yescomplemented
62C4×#638C2216yescomplemented
63C2×#3752C2213yescomplemented
64#64135C2213yescomplemented
65#64133C2213yescomplemented
66#64133C2213yescomplemented
67C2×#3750C2213yescomplemented
68C2×C4×C3⋊Dic3C2213yescomplemented
69C22×C3×#41D314yescomplemented
70C2×D3×#41—34no—
71#5834—34no—
72#5832—312no—
73#5831—34no—
74#5829—312no—
75#5828—312no—
76Dic3×#41—34no—
77#5824—312no—
78#5817—34no—
79Q8×#67—34no—
80#5806—312no—
81D4×#67—312no—
82#5791—312no—
83C2×C4×#67—312no—
84C24×C32C2313yes—
85C23×C3⋊D3C2313yes—
86C32×#41—24no—
87C32×#41—212no—
88C32×#41—212no—
89C32×#41D418yescomplemented
90C2×C32×Q8—24no—
91C2×C32×Q8C2313yes—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4—212no—
94C2×C32×D4C2316yes—
95C2×C32×D4C2313yes—
96C2×C32×D4C2313yes—
97C22×C32×C4—212no—
98C22×C32×C4C2311yescharacteristic
99C22×C32×C4C2313yes—
100C22×C32×C4C2313yes—
101C22×C32×C4C2313yes—
102C22×C32×C4C2313yes—
103C22×C32×C4C2313yes—
104C2×#638—212no—
105C2×#638C2316yes—
106C2×#638C2313yes—
107C2×#638C2313yes—
108C2×#638C2313yes—
109C2×#638C2316yes—
110C2×#638C2311yescharacteristic
111C22×C3⋊Dic3C2313yes—
112C22×C3⋊Dic3C2313yes—
113C22×C3⋊Dic3C2313yes—
114#3832—24no—
115Q8×C3⋊D3—24no—
116#3830—212no—
117D4×C3⋊D3—212no—
118#3828—212no—
119C2×C4⋊(C3⋊D3)C2313yes—
120C2×C4×C3⋊D3—212no—
121C2×C4×C3⋊D3C2311yescharacteristic
122C2×C4×C3⋊D3C2313yes—
123C2×C4×C3⋊D3C2313yes—
124C2×C4×C3⋊D3C2313yes—
125C2×#634C2313yes—
126#3757C2313yes—
127#3757C2316yes—
128#3757C2316yes—
129#3757C2311yescharacteristic
130#3757C2313yes—
131#3757C2313yes—
132#3752C2311yescharacteristic
133#3752C2313yes—
134#3752C2313yes—
135#3752C2313yes—
136#3752C2316yes—
137C4⋊(C3⋊Dic3)C2313yes—
138C4⋊(C3⋊Dic3)C2313yes—
139#3750C2311yescharacteristic
140#3750C2313yes—
141#3750C2313yes—
142#3750C2313yes—
143#3750C2316yes—
144C4×C3⋊Dic3C2311yescharacteristic
145C4×C3⋊Dic3C2313yes—
146C4×C3⋊Dic3C2313yes—
147C4×C3⋊Dic3C2313yes—
148D4×#41—91noSylow
149C2×C3×#41—232no—
150C2×C3×#41C2×D314yes—
151C2×C3×#41C2×D3112yescomplemented
152C2×C3×#41C2×D3112yescomplemented
153C2×C3×#41C2×D314yescomplemented
154C22×C3×Q8C2×D314yescomplemented
155C22×C3×D4C2×D3112yescomplemented
156C23×C3×C4C2×D3112yescomplemented
157C22×#67—312no—
158D3×#41—632no—
159C2×#239—34no—
160C2×D3×Q8—34no—
161C2×#237—312no—
162C2×D3×D4—312no—
163C2×#235—312no—
164C22×C4×D3—312no—
165#953—324no—
166C2×#217—312no—
167#947—312no—
168#946—312no—
169#946—312no—
170Q8×Dic3—34no—
171Q8×Dic3—34no—
172#944—312no—
173#940—312no—
174#939—324no—
175#939—324no—
176#938—312no—
177#938—312no—
178#937—324no—
179#936—312no—
180#935—324no—
181D4×Dic3—312no—
182D4×Dic3—312no—
183#930—312no—
184#930—312no—
185#929—324no—
186C4×#67—34no—
187C4×#67—312no—
188C4×#67—312no—
189C4×#67—312no—
190C4×#67—312no—
191C4×#67—312no—
192C4×#67—312no—
193C4×#67—312no—
194C4×#67—324no—
195C2×(C2×D3)⋊C4—312no—
196#926—312no—
197#924—312no—
198#924—312no—
199C2×Dic3⋊C4—312no—
200C2×C4×Dic3—312no—
201C23×C32—26no—
202C23×C32—26no—
203C23×C32—43no—
204C23×C32C2413yes—
205C23×C32C2413yes—
206C23×C32C2411yescharacteristic
207C22×C3⋊D3—26no—
208C22×C3⋊D3—26no—
209C22×C3⋊D3—43no—
210C22×C3⋊D3C2413yes—
211C22×C3⋊D3C2411yescharacteristic
212C32×Q8—26no—
213C32×Q8C2×D414yescomplemented
214C32×D4—212no—
215C32×D4—26no—
216C32×D4C2×D4112yescomplemented
217C2×C32×C4—26no—
218C2×C32×C4—22no—
219C2×C32×C4—26no—
220C2×C32×C4—26no—
221C2×C32×C4—26no—
222C2×C32×C4C2×D4112yescomplemented
223C2×C32×C4C2411yescharacteristic
224C2×C32×C4C2413yes—
225C2×C32×C4C2411yescharacteristic
226C2×C32×C4C2413yes—
227#638—212no—
228#638—26no—
229#638—26no—
230#638—26no—
231#638—46no—
232#638#4114yesdirect product factor
233C2×C3⋊Dic3—26no—
234C2×C3⋊Dic3—26no—
235C2×C3⋊Dic3—43no—
236C2×C3⋊Dic3C2411yescharacteristic
237C2×C3⋊Dic3C2413yes—
238C2×C3⋊Dic3C2413yes—
239C2×C3⋊Dic3C2413yes—
240C2×C3⋊Dic3C2411yescharacteristic
241C2×C3⋊Dic3C2411yescharacteristic
242C4⋊(C3⋊D3)—26no—
243C4×C3⋊D3—22no—
244C4×C3⋊D3—26no—
245C4×C3⋊D3—26no—
246C4×C3⋊D3—26no—
247#634—26no—
248C22×#41—91no—
249C22×#41C3⋊D311yescharacteristic, complemented
250#550—91no—
251D4×Q8—91no—
252#548—91no—
253#548—91no—
254#547—93no—
255#546—93no—
256#546—93no—
257D42—93no—
258#532—93no—
259#525—93no—
260#525—93no—
261C4×#41—91no—
262C2×C4×D4—93no—
263C24×C3C22×D3112yes—
264C23×D3—312no—
265C3×#41—216no—
266C3×#41—248no—
267C3×#41—248no—
268C3×#41#67132yescomplemented
269C2×C3×Q8—216no—
270C2×C3×Q8C22×D3112yes—
271C2×C3×Q8C22×D314yes—
272C2×C3×D4—248no—
273C2×C3×D4C22×D3124yes—
274C2×C3×D4C22×D3112yes—
275C2×C3×D4C22×D3112yes—
276C22×C3×C4—248no—
277C22×C3×C4C22×D3112yes—
278C22×C3×C4C22×D3112yes—
279C22×C3×C4C22×D3112yes—
280C22×C3×C4C22×D314yes—
281C22×C3×C4C22×D3112yes—
282C22×C3×C4C22×D3112yes—
283C2×#67—34no—
284C2×#67—312no—
285C2×#67—312no—
286C2×#67—312no—
287C2×#67—324no—
288C2×#67—324no—
289C2×#67—648no—
290C22×Dic3—312no—
291C22×Dic3—312no—
292C22×Dic3—312no—
293#239—616no—
294D3×Q8—616no—
295#237—648no—
296D3×D4—648no—
297#235—648no—
298C2×D12—312no—
299C2×C4×D3—34no—
300C2×C4×D3—312no—
301C2×C4×D3—312no—
302C2×C4×D3—312no—
303C2×C4×D3—648no—
304C2×Dic6—312no—
305#217—312no—
306#217—324no—
307#217—324no—
308#217—34no—
309#217—312no—
310#217—312no—
311(C2×D3)⋊C4—34no—
312(C2×D3)⋊C4—312no—
313(C2×D3)⋊C4—312no—
314(C2×D3)⋊C4—312no—
315(C2×D3)⋊C4—324no—
316C4⋊Dic3—312no—
317C4⋊Dic3—312no—
318Dic3⋊C4—34no—
319Dic3⋊C4—312no—
320Dic3⋊C4—312no—
321Dic3⋊C4—312no—
322Dic3⋊C4—324no—
323C4×Dic3—34no—
324C4×Dic3—312no—
325C4×Dic3—312no—
326C4×Dic3—312no—
327C22×C32—21no—
328C22×C32—23no—
329C22×C32—23no—
330C22×C32—21no—
331C22×C32—23no—
332C22×C32—23no—
333C22×C32—23no—
334C22×C32—412no—
335C22×C32C22×D416yes—
336C22×C32C2×#4112yescomplemented
337C22×C32C2511yescharacteristic
338C2×C3⋊D3—21no—
339C2×C3⋊D3—21no—
340C2×C3⋊D3—23no—
341C2×C3⋊D3—23no—
342C2×C3⋊D3—23no—
343C2×C3⋊D3—412no—
344C2×C3⋊D3C2×#4112yescomplemented
345C32×C4—21no—
346C32×C4—23no—
347C32×C4C22×D416yes—
348C32×C4C22×D412yes—
349C3⋊Dic3—23no—
350C3⋊Dic3—21no—
351C3⋊Dic3—23no—
352C3⋊Dic3—21no—
353C3⋊Dic3—23no—
354C3⋊Dic3C2×#4112yescomplemented
355C2×#41—28no—
356C2×#41—91no—
357C2×#41—93no—
358C2×#41—93no—
359C2×#41—188no—
360C2×#41C2×C3⋊D311yescharacteristic
361C2×#41C2×C3⋊D313yescomplemented
362C2×#41C2×C3⋊D313yescomplemented
363C2×#41C2×C3⋊D311yescharacteristic, complemented
364C22×Q8—91no—
365C22×Q8C2×C3⋊D311yescharacteristic, complemented
366C22×D4—93no—
367C22×D4—93no—
368C22×D4C2×C3⋊D313yescomplemented
369C23×C4—93no—
370C23×C4C2×C3⋊D313yescomplemented
371C4⋊Q8—93no—
372#127—93no—
373#124—93no—
374#124—93no—
375#123—96no—
376#123—96no—
377C22⋊Q8—93no—
378C22⋊Q8—93no—
379C22⋊Q8—93no—
380C22⋊Q8—93no—
381#121—93no—
382#121—93no—
383#121—96no—
384#121—96no—
385#121—93no—
386#121—93no—
387#120—96no—
388#120—96no—
389C4×Q8—91no—
390C4×Q8—91no—
391C4×D4—93no—
392C4×D4—93no—
393C4×D4—91no—
394C4×D4—93no—
395C4×D4—93no—
396C4×D4—93no—
397C4×D4—93no—
398C4×D4—93no—
399C4×D4—93no—
400C4×D4—93no—
401C4×D4—96no—
402#117—93no—
403C2×C4⋊C4—93no—
404C2×C22⋊C4—93no—
405C2×C22⋊C4—93no—
406C2×C42—93no—
407C23×C3—224no—
408C23×C3—224no—
409C23×C3—412no—
410C23×C3C23×D3112yes—
411C23×C3C23×D314yes—
412C23×C3C23×D3112yes—
413C22×D3—34no—
414C22×D3—312no—
415C22×D3—624no—
416C22×D3—624no—
417C22×D3—1212no—
418C3×Q8—224no—
419C3×Q8C2×#67116yescomplemented
420C3×D4—248no—
421C3×D4—224no—
422C3×D4C2×#67148yescomplemented
423C2×C3×C4—224no—
424C2×C3×C4—28no—
425C2×C3×C4—224no—
426C2×C3×C4—224no—
427C2×C3×C4—224no—
428C2×C3×C4C2×#67148yescomplemented
429C2×C3×C4C23×D314yes—
430C2×C3×C4C23×D3112yes—
431C2×C3×C4C23×D3112yes—
432C2×C3×C4C23×D314yes—
433#67—316no—
434#67—624no—
435#67—624no—
436#67—624no—
437#67—648no—
438#67—1224no—
439C2×Dic3—34no—
440C2×Dic3—34no—
441C2×Dic3—312no—
442C2×Dic3—312no—
443C2×Dic3—312no—
444C2×Dic3—34no—
445C2×Dic3—624no—
446C2×Dic3—624no—
447C2×Dic3—1212no—
448D12—624no—
449C4×D3—68no—
450C4×D3—624no—
451C4×D3—624no—
452C4×D3—624no—
453Dic6—624no—
454C2×C32—26no—
455C2×C32—22no—
456C2×C32—43no—
457C2×C32C23×D411yescharacteristic
458C2×C32C22×#4111yescharacteristic
459C2×C32#58511yescharacteristic
460C3⋊D3—22no—
461C3⋊D3—43no—
462C24—93no—
463C24C22×C3⋊D313yes—
464#41—24no—
465#41—212no—
466#41—212no—
467#41—184no—
468#41—1812no—
469#41—1812no—
470#41#63818yesdirect product factor
471C2×Q8—24no—
472C2×Q8—93no—
473C2×Q8—184no—
474C2×Q8C22×C3⋊D313yes—
475C2×Q8C22×C3⋊D311yescharacteristic
476C2×D4—212no—
477C2×D4—91no—
478C2×D4—93no—
479C2×D4—93no—
480C2×D4—93no—
481C2×D4—96no—
482C2×D4—96no—
483C2×D4—93no—
484C2×D4—1812no—
485C2×D4—1812no—
486C2×D4C22×C3⋊D316yes—
487C2×D4C22×C3⋊D313yes—
488C2×D4C22×C3⋊D313yes—
489C22×C4—212no—
490C22×C4—93no—
491C22×C4—93no—
492C22×C4—93no—
493C22×C4—93no—
494C22×C4—93no—
495C22×C4—91no—
496C22×C4—93no—
497C22×C4—1812no—
498C22×C4C22×C3⋊D313yes—
499C22×C4C22×C3⋊D313yes—
500C22×C4C22×C3⋊D313yes—
501C22×C4C22×C3⋊D311yescharacteristic
502C22×C4C22×C3⋊D313yes—
503C22×C4C22×C3⋊D313yes—
504C4⋊C4—91no—
505C4⋊C4—93no—
506C4⋊C4—93no—
507C4⋊C4—93no—
508C4⋊C4—93no—
509C4⋊C4—93no—
510C4⋊C4—96no—
511C22⋊C4—91no—
512C22⋊C4—93no—
513C22⋊C4—93no—
514C22⋊C4—93no—
515C22⋊C4—96no—
516C22⋊C4—96no—
517C22⋊C4—91no—
518C22⋊C4—93no—
519C22⋊C4—93no—
520C22⋊C4—93no—
521C22⋊C4—96no—
522C42—93no—
523C42—93no—
524C42—91no—
525C42—93no—
526C22×C3—212no—
527C22×C3—212no—
528C22×C3—24no—
529C22×C3—24no—
530C22×C3—212no—
531C22×C3—212no—
532C22×C3—212no—
533C22×C3—448no—
534C22×C3D3×#4118yescomplemented
535C22×C3C22×#67124yes—
536C22×C3C24×D314yes—
537C2×D3—38no—
538C2×D3—64no—
539C2×D3—64no—
540C2×D3—612no—
541C2×D3—612no—
542C2×D3—612no—
543C2×D3—1248no—
544C3×C4—24no—
545C3×C4—212no—
546C3×C4C22×#67124yes—
547C3×C4C22×#6718yes—
548Dic3—38no—
549Dic3—612no—
550Dic3—64no—
551Dic3—612no—
552Dic3—612no—
553Dic3—64no—
554C32D4×#4111yescharacteristic, complemented, Sylow
555C23—26no—
556C23—26no—
557C23—43no—
558C23—91no—
559C23—93no—
560C23—186no—
561C23—186no—
562C23—363no—
563C23C23×C3⋊D313yes—
564C23C23×C3⋊D311yescharacteristic
565C23C23×C3⋊D313yes—
566Q8—26no—
567Q8—186no—
568Q8C2×#63814yescomplemented
569D4—212no—
570D4—26no—
571D4—94no—
572D4—186no—
573D4—186no—
574D4—186no—
575D4—1812no—
576D4—186no—
577D4—366no—
578D4C2×#638112yescomplemented
579C2×C4—26no—
580C2×C4—22no—
581C2×C4—26no—
582C2×C4—26no—
583C2×C4—26no—
584C2×C4—91no—
585C2×C4—91no—
586C2×C4—93no—
587C2×C4—93no—
588C2×C4—91no—
589C2×C4—93no—
590C2×C4—186no—
591C2×C4—186no—
592C2×C4—182no—
593C2×C4—186no—
594C2×C4—186no—
595C2×C4—186no—
596C2×C4—363no—
597C2×C4C2×#638112yescomplemented
598C2×C4C23×C3⋊D311yescharacteristic
599C2×C4C23×C3⋊D313yes—
600C2×C4C23×C3⋊D313yes—
601C2×C4C23×C3⋊D311yescharacteristic
602C2×C3—224no—
603C2×C3—28no—
604C2×C3—412no—
605C2×C3C2×D3×#4114yes—
606C2×C3#596414yes—
607C2×C3C23×#6714yes—
608D3—68no—
609D3—1212no—
610C22—23no—
611C22—23no—
612C22—21no—
613C22—21no—
614C22—23no—
615C22—23no—
616C22—23no—
617C22—412no—
618C22—92no—
619C22—181no—
620C22—181no—
621C22—183no—
622C22—183no—
623C22—183no—
624C22—3612no—
625C22#41×C3⋊D312yescomplemented
626C22C22×#63816yes—
627C22C24×C3⋊D311yescharacteristic
628C4—21no—
629C4—23no—
630C4—92no—
631C4—183no—
632C4—181no—
633C4—183no—
634C4—181no—
635C4—183no—
636C4C22×#63812yes—
637C4C22×#63816yes—
638C3#41×#6714yescomplemented
639C2—22no—
640C2—26no—
641C2—43no—
642C2—182no—
643C2—363no—
644C2C2×#41×C3⋊D311yescharacteristic
645C2#1059675611yescharacteristic
646C2C23×#63811yescharacteristic
subgroupG/H
centerC2×C4C23×C3⋊D3
commutator, socle, cosocleC22×C32C25
FrattiniC22C24×C3⋊D3
FittingC22×C32×#41C2
hypercenterC22×#41C3⋊D3
hypocenterC32D4×#41
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. C22×C32×#41C2semidirect
2. C2×#41×C3⋊D3C2semidirect
3. #10596305C2semidirect
4. #10596303C2semidirect
5. #10596302C2semidirect
6. #10596300C2semidirect
7. #10596299C2semidirect
8. #41×C3⋊Dic3C2semidirect
9. #10596295C2semidirect
10. #10596288C2semidirect
11. Q8×#638C2semidirect
12. #10596277C2semidirect
13. D4×#638C2semidirect
14. #10596262C2semidirect
15. C2×C4×#638C2semidirect
19. C2×C32×#41C22semidirect
20. C2×C32×#41C22semidirect
21. C2×C32×#41C22semidirect
22. C22×C32×Q8C22semidirect
23. C22×C32×D4C22semidirect
24. C23×C32×C4C22semidirect
27. C2×#3832C22semidirect
28. C2×Q8×C3⋊D3C22semidirect
29. C2×#3830C22semidirect
30. C2×D4×C3⋊D3C22semidirect
31. C2×#3828C22semidirect
32. C22×C4×C3⋊D3C22semidirect
33. #64162C22semidirect
34. C2×#3757C22semidirect
35. #64156C22semidirect
36. #64155C22semidirect
37. #64155C22semidirect
38. Q8×C3⋊Dic3C22semidirect
39. Q8×C3⋊Dic3C22semidirect
40. #64153C22semidirect
41. #64149C22semidirect
42. #64148C22semidirect
43. #64148C22semidirect
44. #64147C22semidirect
45. #64147C22semidirect
46. #64146C22semidirect
47. #64145C22semidirect
48. #64144C22semidirect
49. D4×C3⋊Dic3C22semidirect
50. D4×C3⋊Dic3C22semidirect
51. #64139C22semidirect
52. #64139C22semidirect
53. #64138C22semidirect
56. C4×#638C22semidirect
57. C4×#638C22semidirect
58. C4×#638C22semidirect
59. C4×#638C22semidirect
60. C4×#638C22semidirect
61. C4×#638C22semidirect
62. C4×#638C22semidirect
63. C2×#3752C22semidirect
64. #64135C22semidirect
65. #64133C22semidirect
66. #64133C22semidirect
67. C2×#3750C22semidirect
68. C2×C4×C3⋊Dic3C22semidirect
69. C22×C3×#41D3semidirect
89. C32×#41D4semidirect
151. C2×C3×#41C2×D3semidirect
152. C2×C3×#41C2×D3semidirect
153. C2×C3×#41C2×D3semidirect
154. C22×C3×Q8C2×D3semidirect
155. C22×C3×D4C2×D3semidirect
156. C23×C3×C4C2×D3semidirect
213. C32×Q8C2×D4semidirect
216. C32×D4C2×D4semidirect
222. C2×C32×C4C2×D4semidirect
232. #638#41direct (N × H)
249. C22×#41C3⋊D3semidirect
268. C3×#41#67semidirect
336. C22×C32C2×#41semidirect
344. C2×C3⋊D3C2×#41semidirect
354. C3⋊Dic3C2×#41semidirect
361. C2×#41C2×C3⋊D3semidirect
362. C2×#41C2×C3⋊D3semidirect
363. C2×#41C2×C3⋊D3semidirect
365. C22×Q8C2×C3⋊D3semidirect
368. C22×D4C2×C3⋊D3semidirect
370. C23×C4C2×C3⋊D3semidirect
419. C3×Q8C2×#67semidirect
422. C3×D4C2×#67semidirect
428. C2×C3×C4C2×#67semidirect
470. #41#638direct (N × H)
534. C22×C3D3×#41semidirect
554. C32D4×#41semidirect
568. Q8C2×#638semidirect
578. D4C2×#638semidirect
597. C2×C4C2×#638semidirect
625. C22#41×C3⋊D3semidirect
638. C3#41×#67semidirect

Maximal subgroups

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

subgroupindex
C22×C32×#412
C2×#41×C3⋊D32
#105963052
#105963032
#105963022
#105963002
#105962992
#41×C3⋊Dic32
#105962952
#105962882
Q8×#6382
#105962772
D4×#6382
#105962622
C2×C4×#6382
#41×#673