Finite Group Databasebeta

← #10967775

Subgroups — #10967775

Order 768.

2866 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5634C211yesmaximal, characteristic, complemented
2C22×#67⋊C4C211yesmaximal, characteristic
3C3×#2626C211yesmaximal, characteristic, complemented
4#82810C211yesmaximal, characteristic, complemented
5#82117C211yesmaximal, characteristic, complemented
6#78104C214yesmaximal, complemented
7#77420C214yesmaximal, complemented
8#77419C214yesmaximal, complemented
9#76866C214yesmaximal, complemented
10D3×#385C212yesmaximal, complemented
11#74502C212yesmaximal, complemented
12#74005C211yesmaximal, characteristic, complemented
13#74000C211yesmaximal, characteristic, complemented
14#73849C212yesmaximal
15#73846C212yesmaximal, complemented
16#34985—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C24×Dic3C2211yescharacteristic
19C23×C4×D3C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic
21C22×C3×C22⋊C4C2211yescharacteristic
22C2×#946C2212yescomplemented
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C2×#924C2211yescharacteristic
25C22×Dic3⋊C4C2211yescharacteristic
26C22×C4×Dic3C2211yescharacteristic
27#5634—28no—
28C2×#897C2212yescomplemented
29C2×#896C2212yescomplemented
30C2×#896C2212yescomplemented
31C2×D3×C4⋊C4C2214yescomplemented
32C2×#67⋊C4—28no—
33C2×#67⋊C4C2214yes—
34C2×#67⋊C4C2214yes—
35C2×D3×C22⋊C4C2212yes—
36C2×D3×C22⋊C4C2212yes—
37C2×#878C2212yes—
38C2×#878C2214yescomplemented
39C3×#399C2212yescomplemented
40C3×#396C2214yescomplemented
41C3×#393C2212yescomplemented
42C3×#385C2212yes—
43C3×#380C2211yescharacteristic
44C3×#379C2212yes—
45#5247C2212yes—
46#5229C2212yescomplemented
47#5212C2211yescharacteristic
48#5210C2212yes—
49#4989C2214yescomplemented
50#4989C2214yescomplemented
51#4984C2212yescomplemented
52#4983C2214yescomplemented
53#4979C2214yescomplemented
54#4978C2214yescomplemented
55#4973C2212yescomplemented
56#4972C2212yescomplemented
57#4956C2214yes—
58#4956C2214yes—
59#4956C2214yes—
60#4956C2214yes—
61#4950C2212yes—
62#4950C2214yescomplemented
63#4949C2212yescomplemented
64#4948C2214yescomplemented
65#4947C2212yescomplemented
66#4946C2212yes—
67#4946C2214yescomplemented
68#4943C2212yes—
69#4943C2212yes—
70#4942C2212yes—
71#4942C2214yescomplemented
72#4668C2214yescomplemented
73#4668C2214yescomplemented
74D3×#95C2214yescomplemented
75#4658C2214yescomplemented
76#4657C2214yescomplemented
77#4653C2214yescomplemented
78C2×#543—31no—
79C22×C4×D4—31no—
80#2855—31no—
81#2855—31no—
82#2848—32no—
83#2627—32no—
84#2626—31no—
85#2626D311yescharacteristic, complemented
86#2450—34no—
87#2450—34no—
88#2449—34no—
89#2449—34no—
90#2315—31no—
91#2308—32no—
92C2×#385—32no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×Q8C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C22×#67—24no—
99C22×#67—24no—
100C22×#67Q818yescomplemented
101C22×#67C2314yes—
102C23×Dic3—24no—
103C23×Dic3—44no—
104C23×Dic3C2311yescharacteristic
105C23×Dic3C2314yes—
106C23×Dic3C2311yescharacteristic
107C23×Dic3C2311yescharacteristic
108C22×C4×D3—24no—
109C22×C4×D3—44no—
110C22×C4×D3C2314yes—
111C22×C4×D3C2312yes—
112C22×C4×D3C2314yes—
113C22×C4×D3C2312yes—
114C22×Dic6C2311yescharacteristic
115C22×Dic6C2312yes—
116C3×C22⋊Q8—24no—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2314yes—
121C2×C3×C22⋊C4—24no—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2314yes—
127C2×C3×C22⋊C4C2314yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132#946—28no—
133C2×(C2×D3)⋊C4D418yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×C4⋊Dic3C2314yes—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2311yescharacteristic
142C2×C4⋊Dic3C2312yes—
143#924—24no—
144C2×Dic3⋊C4—24no—
145C2×Dic3⋊C4C2312yes—
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2312yes—
148C2×Dic3⋊C4C2314yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×C4×Dic3—24no—
153C2×C4×Dic3C2312yes—
154C2×C4×Dic3C2312yes—
155#897—28no—
156#896—28no—
157#896—28no—
158D3×C4⋊C4—48no—
159#67⋊C4—216no—
160#67⋊C4—216no—
161D3×C22⋊C4—28no—
162D3×C22⋊C4—28no—
163#878—28no—
164#878—48no—
165C3×#95C2312yes—
166C3×#95C2314yes—
167C3⋊#95C2314yes—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2312yes—
176C23×D4—31no—
177C24×C4—31no—
178C24×C4—31no—
179#543—68no—
180C2×C22⋊Q8—32no—
181C2×C22⋊Q8—31no—
182C2×C22⋊Q8—32no—
183C2×C22⋊Q8—32no—
184C2×C22⋊Q8—32no—
185C2×C22⋊Q8—32no—
186C2×C22⋊Q8—34no—
187C2×C22⋊Q8C2×D311yescharacteristic
188C2×C4×D4—34no—
189C2×C4×D4—34no—
190C2×C4×D4—68no—
191C22×C4⋊C4—31no—
192C22×C4⋊C4—34no—
193C22×C22⋊C4—31no—
194C22×C22⋊C4—32no—
195C22×C22⋊C4—32no—
196C22×C22⋊C4C2×D311yescharacteristic
197C22×C42—31no—
198#400—34no—
199#399—32no—
200#399C2×D312yescomplemented
201#398—34no—
202#398—34no—
203#396—34no—
204#396C2×D314yescomplemented
205#395—34no—
206#393—32no—
207#393C2×D312yescomplemented
208#391—32no—
209#391—32no—
210#389—32no—
211#389—32no—
212#387—34no—
213#387—34no—
214#386—34no—
215#386—34no—
216#386—34no—
217#386—34no—
218#385—32no—
219#385—34no—
220#385—34no—
221#385—32no—
222#385—32no—
223#385—34no—
224#385—34no—
225#385—34no—
226#385—34no—
227#385C2×D312yes—
228#381—32no—
229#381—32no—
230#380—31no—
231#380—32no—
232#380—34no—
233#380C2×D311yescharacteristic
234#379—32no—
235#379C2×D312yes—
236C2×#95—34no—
237C24×C3—22no—
238C24×C3—22no—
239C24×C3—42no—
240C24×C3—42no—
241C24×C3C2×Q814yes—
242C24×C3C2412yes—
243C24×C3C2411yescharacteristic
244C23×D3—42no—
245C23×D3—42no—
246C23×D3C2×D414yes—
247C23×D3C2×Q814yes—
248C23×D3#4114yes—
249C23×D3C2412yes—
250C2×C3×Q8—22no—
251C2×C3×Q8—42no—
252C22×C3×C4—22no—
253C22×C3×C4—42no—
254C22×C3×C4—42no—
255C22×C3×C4C2×D414yes—
256C22×C3×C4C2414yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2412yes—
260C22×C3×C4C2411yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C2×#67—232no—
263C2×#67—28no—
264C2×#67—28no—
265C2×#67C2×Q8116yes—
266C22×Dic3—22no—
267C22×Dic3—22no—
268C22×Dic3—22no—
269C22×Dic3—24no—
270C22×Dic3—28no—
271C22×Dic3—28no—
272C22×Dic3—42no—
273C22×Dic3—44no—
274C22×Dic3—416no—
275C22×Dic3C2×D414yes—
276C22×Dic3C2×Q814yes—
277C22×Dic3C2414yes—
278C22×Dic3C2412yes—
279C22×Dic3C2412yes—
280C22×Dic3C2412yes—
281C22×Dic3C2412yes—
282C22×Dic3C2412yes—
283C2×C4×D3—28no—
284C2×C4×D3—28no—
285C2×C4×D3—28no—
286C2×C4×D3—24no—
287C2×C4×D3—24no—
288C2×C4×D3—44no—
289C2×C4×D3—44no—
290C2×C4×D3—44no—
291C2×C4×D3—416no—
292C2×C4×D3—44no—
293C2×C4×D3—44no—
294C2×Dic6—22no—
295C2×Dic6—24no—
296C2×Dic6—44no—
297C2×Dic6—42no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—24no—
300C3×C4⋊C4—44no—
301C3×C4⋊C4—42no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4—44no—
307C3×C22⋊C4—44no—
308#217—24no—
309#217—24no—
310#217—44no—
311#217—44no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—28no—
315(C2×D3)⋊C4C2×D418yes—
316(C2×D3)⋊C4C2×D418yes—
317C4⋊Dic3—22no—
318C4⋊Dic3—24no—
319C4⋊Dic3—28no—
320C4⋊Dic3—42no—
321Dic3⋊C4—24no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—28no—
326Dic3⋊C4—44no—
327Dic3⋊C4—44no—
328C4×Dic3—24no—
329C4×Dic3—24no—
330C25—31no—
331C25C22×D311yescharacteristic
332C22×Q8—32no—
333C22×Q8—31no—
334C22×Q8C22×D311yescharacteristic
335C22×D4—38no—
336C22×D4—34no—
337C22×D4—64no—
338C22×D4—64no—
339C23×C4—31no—
340C23×C4—31no—
341C23×C4—31no—
342C23×C4—34no—
343C23×C4—34no—
344C23×C4—32no—
345C23×C4—34no—
346C23×C4—32no—
347C23×C4—64no—
348C23×C4—64no—
349C23×C4—124no—
350C23×C4—124no—
351C23×C4C22×D311yescharacteristic
352C23×C4C22×D311yescharacteristic
353C22⋊Q8—24no—
354C22⋊Q8—68no—
355C22⋊Q8—68no—
356C22⋊Q8—68no—
357C22⋊Q8—68no—
358C22⋊Q8—68no—
359C22⋊Q8—64no—
360C22⋊Q8—128no—
361C4×D4—616no—
362C4×D4—616no—
363C2×C4⋊C4—34no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—34no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—64no—
375C2×C4⋊C4—128no—
376C2×C4⋊C4C22×D312yes—
377C2×C4⋊C4C22×D311yescharacteristic
378C2×C4⋊C4C22×D314yes—
379C2×C4⋊C4C22×D312yes—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—38no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—68no—
392C2×C22⋊C4—68no—
393C2×C22⋊C4C22×D312yes—
394C2×C22⋊C4C22×D312yes—
395C2×C22⋊C4C22×D312yes—
396C2×C22⋊C4C22×D312yes—
397C2×C22⋊C4C22×D314yes—
398C2×C22⋊C4C22×D314yes—
399C2×C42—32no—
400C2×C42—32no—
401C2×C42—64no—
402#95—34no—
403#95—34no—
404#95—34no—
405#95—34no—
406#95—32no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95C22×D314yes—
412#95C22×D312yes—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—28no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—48no—
421C23×C3—44no—
422C23×C3—48no—
423C23×C3—44no—
424C23×C3C22×D412yes—
425C23×C3C22×Q814yes—
426C23×C3C22×Q812yes—
427C23×C3C2×#4112yes—
428C23×C3C2511yescharacteristic
429C22×D3—24no—
430C22×D3—24no—
431C22×D3—44no—
432C22×D3—44no—
433C22×D3—48no—
434C22×D3—48no—
435C22×D3C22⋊Q8116yescomplemented
436C22×D3C22×D414yes—
437C22×D3C22×Q814yes—
438C22×D3C2×#4114yes—
439C3×Q8—82no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—24no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—24no—
451C2×C3×C4—44no—
452C2×C3×C4—44no—
453C2×C3×C4C22×D412yes—
454C2×C3×C4C22×D412yes—
455#67—232no—
456C2×Dic3—28no—
457C2×Dic3—28no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—24no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—24no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—44no—
471C2×Dic3—416no—
472C2×Dic3C22×D414yes—
473C2×Dic3C22×Q814yes—
474C2×Dic3H(5,𝔽2)14yes—
475C4×D3—416no—
476C4×D3—416no—
477C4×D3—84no—
478C4×D3—84no—
479Dic6—84no—
480Dic6—82no—
481C24—22no—
482C24—22no—
483C24—32no—
484C24—34no—
485C24—34no—
486C24—34no—
487C24—42no—
488C24—42no—
489C24—122no—
490C24—122no—
491C24D3×Q814yes—
492C24C23×D312yes—
493C24C23×D311yescharacteristic
494C2×Q8—22no—
495C2×Q8—42no—
496C2×Q8—64no—
497C2×Q8—62no—
498C2×Q8—124no—
499C2×Q8—122no—
500C2×D4—316no—
501C2×D4—68no—
502C2×D4—68no—
503C2×D4—632no—
504C22×C4—22no—
505C22×C4—34no—
506C22×C4—32no—
507C22×C4—32no—
508C22×C4—32no—
509C22×C4—34no—
510C22×C4—34no—
511C22×C4—32no—
512C22×C4—32no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—68no—
516C22×C4—68no—
517C22×C4—68no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—64no—
521C22×C4—68no—
522C22×C4—68no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—62no—
526C22×C4—124no—
527C22×C4—124no—
528C22×C4—124no—
529C22×C4—124no—
530C22×C4—124no—
531C22×C4—1216no—
532C22×C4—122no—
533C22×C4—124no—
534C22×C4—1216no—
535C22×C4D3×D414yes—
536C22×C4C23×D314yes—
537C22×C4C23×D312yes—
538C22×C4C23×D312yes—
539C22×C4C23×D312yes—
540C22×C4C23×D311yescharacteristic
541C22×C4C23×D311yescharacteristic
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—44no—
545C4⋊C4—42no—
546C4⋊C4—68no—
547C4⋊C4—68no—
548C4⋊C4—68no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—62no—
554C4⋊C4—124no—
555C4⋊C4—124no—
556C4⋊C4—122no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—38no—
562C22⋊C4—38no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—64no—
566C22⋊C4—64no—
567C22⋊C4—68no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C42—64no—
573C42—64no—
574C22×C3—24no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—28no—
580C22×C3—416no—
581C22×C3—44no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3C2×C22⋊Q814yes—
585C22×C3C23×D411yescharacteristic
586C22×C3C23×Q811yescharacteristic
587C22×C3C22×#4111yescharacteristic
588C22×C3C2×H(5,𝔽2)12yes—
589C22×C3#58512yes—
590C2×D3—28no—
591C2×D3—24no—
592C2×D3—24no—
593C2×D3—28no—
594C2×D3—416no—
595C2×D3C2×C22⋊Q818yes—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—44no—
599C3×C4—42no—
600C3×C4—42no—
601C3×C4—42no—
602Dic3—24no—
603Dic3—24no—
604Dic3—24no—
605Dic3—44no—
606Dic3—42no—
607Dic3—42no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—24no—
614C23—28no—
615C23—34no—
616C23—34no—
617C23—34no—
618C23—316no—
619C23—48no—
620C23—44no—
621C23—44no—
622C23—48no—
623C23—64no—
624C23—64no—
625C23—124no—
626C23—124no—
627C23—128no—
628C23—128no—
629C23C2×D3×D412yes—
630C23C2×D3×Q814yes—
631C23C2×D3×Q812yes—
632C23D3×#4112yes—
633C23C24×D311yescharacteristic
634Q8—82no—
635Q8—242no—
636Q8—244no—
637D4—632no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—34no—
650C2×C4—34no—
651C2×C4—34no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—68no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—68no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—64no—
668C2×C4—1216no—
669C2×C4—1216no—
670C2×C4—124no—
671C2×C4—1216no—
672C2×C4—244no—
673C2×C4—244no—
674C2×C4C2×D3×D412yes—
675C2×C4C2×D3×D412yes—
676C2×C3—24no—
677C2×C3—44no—
678C2×C3C22×C22⋊Q811yescharacteristic
679C2×C3#345912yes—
680C2×C3#348411yescharacteristic
681C2×C3#348511yescharacteristic
682C2×C3#350112yes—
683D3—28no—
684C22—22no—
685C22—24no—
686C22—22no—
687C22—24no—
688C22—28no—
689C22—24no—
690C22—38no—
691C22—416no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—64no—
696C22—68no—
697C22—64no—
698C22—68no—
699C22—1216no—
700C22D3×C22⋊Q814yes—
701C22C22×D3×D411yescharacteristic
702C22C22×D3×Q811yescharacteristic
703C22C2×D3×#4111yescharacteristic
704C22D3×H(5,𝔽2)12yes—
705C22#596612yes—
706C4—22no—
707C4—22no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—44no—
712C4—64no—
713C4—64no—
714C4—64no—
715C4—122no—
716C4—122no—
717C4—124no—
718C3#3498511yescharacteristic, complemented, Sylow
719C2—24no—
720C2—44no—
721C2—68no—
722C2C2×D3×C22⋊Q811yescharacteristic
723C2#8629611yescharacteristic
724C2#8633011yescharacteristic
725C2#8638812yes—
726C2#8657412yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2626C2
prime radicalC23×#67C22
hypercenter#2626D3
hypocenterC3#34985
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2626

Complements

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

NH ≅ G/Ntype
1. C2×#5634C2semidirect
3. C3×#2626C2semidirect
4. #82810C2semidirect
5. #82117C2semidirect
6. #78104C2semidirect
7. #77420C2semidirect
8. #77419C2semidirect
9. #76866C2semidirect
10. D3×#385C2semidirect
11. #74502C2semidirect
12. #74005C2semidirect
13. #74000C2semidirect
15. #73846C2semidirect
22. C2×#946C22semidirect
28. C2×#897C22semidirect
29. C2×#896C22semidirect
30. C2×#896C22semidirect
31. C2×D3×C4⋊C4C22semidirect
38. C2×#878C22semidirect
39. C3×#399C22semidirect
40. C3×#396C22semidirect
41. C3×#393C22semidirect
46. #5229C22semidirect
49. #4989C22semidirect
50. #4989C22semidirect
51. #4984C22semidirect
52. #4983C22semidirect
53. #4979C22semidirect
54. #4978C22semidirect
55. #4973C22semidirect
56. #4972C22semidirect
62. #4950C22semidirect
63. #4949C22semidirect
64. #4948C22semidirect
65. #4947C22semidirect
67. #4946C22semidirect
71. #4942C22semidirect
72. #4668C22semidirect
73. #4668C22semidirect
74. D3×#95C22semidirect
75. #4658C22semidirect
76. #4657C22semidirect
77. #4653C22semidirect
85. #2626D3semidirect
100. C22×#67Q8semidirect
200. #399C2×D3semidirect
204. #396C2×D3semidirect
207. #393C2×D3semidirect
435. C22×D3C22⋊Q8semidirect
718. C3#34985semidirect

Maximal subgroups

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

subgroupindex
C2×#56342
C22×#67⋊C42
C3×#26262
#828102
#821172
#781042
#774202
#774192
#768662
D3×#3852
#745022
#740052
#740002
#738492
#738462
#349853