Finite Group Databasebeta

← #10967787

Subgroups — #10967787

Order 768.

2902 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5617C211yesmaximal, characteristic, complemented
2C22×#67⋊C4C211yesmaximal, characteristic, complemented
3C3×#2617C211yesmaximal, characteristic, complemented
4#82699C211yesmaximal, characteristic, complemented
5#82607C212yesmaximal, complemented
6Dic3×#120C212yesmaximal, complemented
7#82117C211yesmaximal, characteristic, complemented
8#77471C214yesmaximal, complemented
9#76912C214yesmaximal, complemented
10#76908C214yesmaximal, complemented
11#76677C214yesmaximal, complemented
12#74936C212yesmaximal, complemented
13#74664C212yesmaximal, complemented
14#74004C211yesmaximal, characteristic, complemented
15#74000C211yesmaximal, characteristic, complemented
16#34986—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C24×Dic3C2211yescharacteristic
19C23×C4×D3C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×#120C2212yes—
22C22×C3×C22⋊C4C2211yescharacteristic
23C2×#939C2212yescomplemented
24C2×#937C2212yes—
25C2×#935C2212yes—
26C2×D4×Dic3C2212yes—
27C2×D4×Dic3C2214yescomplemented
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C2×#924C2211yescharacteristic
30C22×Dic3⋊C4C2211yescharacteristic
31C22×C4×Dic3C2211yescharacteristic
32#5617—28no—
33C2×#898C2212yescomplemented
34C2×#886C2212yescomplemented
35C2×#885C2212yescomplemented
36C2×#883C2214yescomplemented
37C2×#67⋊C4—28no—
38C2×#67⋊C4C2214yes—
39C2×#67⋊C4C2214yes—
40C3×#397C2212yescomplemented
41C3×#394C2214yescomplemented
42C3×#392C2212yescomplemented
43C3×#386C2212yes—
44C3×#380C2211yescharacteristic
45#5247C2212yes—
46#5223C2214yes—
47#5223C2214yes—
48#5221C2212yescomplemented
49#5220C2212yes—
50#5220C2214yescomplemented
51#5212C2211yescharacteristic
52#5210C2212yes—
53#4990C2214yescomplemented
54#4984C2212yescomplemented
55#4973C2212yescomplemented
56#4972C2212yescomplemented
57#4959C2214yes—
58#4959C2214yes—
59#4956C2214yescomplemented
60#4955C2212yes—
61#4950C2212yes—
62#4950C2214yescomplemented
63#4949C2212yescomplemented
64#4948C2214yescomplemented
65#4947C2212yescomplemented
66#4946C2214yescomplemented
67#4944C2214yescomplemented
68#4944C2214yescomplemented
69#4943C2212yes—
70Dic3×C22⋊C4C2212yes—
71Dic3×C22⋊C4C2214yescomplemented
72#4670C2214yescomplemented
73#4668C2214yescomplemented
74#4664C2214yescomplemented
75#4653C2214yescomplemented
76#4652C2214yescomplemented
77#4647C2214yescomplemented
78C2×#538—31no—
79C22×C4×D4—31no—
80#2855—31no—
81#2854—31no—
82#2849—32no—
83#2626—31no—
84#2617D311yescharacteristic, complemented
85#2613—32no—
86#2466—34no—
87#2459—34no—
88#2456—34no—
89#2455—34no—
90#2322—32no—
91#2312—31no—
92C4×#120—32no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×D4C2312yes—
96C22×C3×D4C2314yes—
97C22×C3×D4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C22×#67—24no—
101C22×#67—24no—
102C22×#67—24no—
103C22×#67C2314yes—
104C22×#67C2312yes—
105C22×#67C2312yes—
106C23×Dic3—24no—
107C23×Dic3—44no—
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2314yes—
110C23×Dic3C2311yescharacteristic
111C23×Dic3C2312yes—
112C23×Dic3C2311yescharacteristic
113C22×C4×D3—24no—
114C22×C4×D3—44no—
115C22×C4×D3C2314yes—
116C22×Dic6C2311yescharacteristic
117C3×#121—24no—
118C3×#120—28no—
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C22⋊C4—24no—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2314yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2314yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130C2×#217C2314yes—
131C2×#217C2312yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134C2×#217C2314yes—
135#939—28no—
136#937—28no—
137#935—28no—
138D4×Dic3—28no—
139D4×Dic3—48no—
140C2×(C2×D3)⋊C4D418yescomplemented
141C2×(C2×D3)⋊C4C2312yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2314yes—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2312yes—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2311yescharacteristic
150C2×C4⋊Dic3C2312yes—
151#924—24no—
152C2×Dic3⋊C4—24no—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2314yes—
155C2×Dic3⋊C4C2312yes—
156C2×Dic3⋊C4C2314yes—
157C2×C4×Dic3—24no—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161C2×C4×Dic3C2314yes—
162#898—28no—
163#886—28no—
164#885—28no—
165#883—48no—
166#67⋊C4—216no—
167#67⋊C4—216no—
168C3×#95C2314yes—
169C3×#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2312yes—
177C23×D4—31no—
178C24×C4—31no—
179C24×C4—31no—
180#538—68no—
181C2×#126—32no—
182C2×#124—32no—
183C2×#123—32no—
184C2×#123—32no—
185C2×#123—34no—
186C2×C22⋊Q8—31no—
187C2×#121—32no—
188C2×#121C2×D311yescharacteristic
189C2×#120—32no—
190C2×#120C2×D312yes—
191C2×C4×D4—32no—
192C2×C4×D4—34no—
193C2×C4×D4—34no—
194C2×C4×D4—34no—
195C2×C4×D4—68no—
196C22×C4⋊C4—31no—
197C22×C22⋊C4—31no—
198C22×C22⋊C4C2×D311yescharacteristic
199C22×C42—31no—
200#399—32no—
201#397C2×D312yescomplemented
202#396—34no—
203#394—34no—
204#394—34no—
205#394C2×D314yescomplemented
206#393—32no—
207#392—34no—
208#392—34no—
209#392C2×D312yescomplemented
210#391—32no—
211#390—32no—
212#389—32no—
213#389—32no—
214#389—34no—
215#388—34no—
216#388—34no—
217#388—34no—
218#388—34no—
219#387—34no—
220#387—34no—
221#386—32no—
222#386—34no—
223#386—34no—
224#386C2×D312yes—
225#385—32no—
226#385—34no—
227#385—32no—
228#385—34no—
229#385—34no—
230#381—32no—
231#381—34no—
232#380—31no—
233#380C2×D311yescharacteristic
234#379—32no—
235#379—32no—
236C4×C22⋊C4—32no—
237C4×C22⋊C4—34no—
238C24×C3—22no—
239C24×C3—22no—
240C24×C3—42no—
241C24×C3—42no—
242C24×C3#4114yes—
243C24×C3C2412yes—
244C24×C3C2412yes—
245C24×C3C2411yescharacteristic
246C23×D3—22no—
247C23×D3—22no—
248C23×D3—42no—
249C23×D3—42no—
250C23×D3C2×D414yes—
251C23×D3C2412yes—
252C2×C3×D4—24no—
253C2×C3×D4—24no—
254C2×C3×D4—28no—
255C2×C3×D4—24no—
256C2×C3×D4—22no—
257C2×C3×D4—44no—
258C2×C3×D4—44no—
259C2×C3×D4—42no—
260C22×C3×C4—22no—
261C22×C3×C4—42no—
262C22×C3×C4—42no—
263C22×C3×C4C2×D414yes—
264C22×C3×C4C2414yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2411yescharacteristic
269C2×#67—232no—
270C2×#67—28no—
271C2×#67—28no—
272C2×#67—24no—
273C2×#67—24no—
274C2×#67—28no—
275C2×#67—44no—
276C2×#67—44no—
277C22×Dic3—22no—
278C22×Dic3—22no—
279C22×Dic3—22no—
280C22×Dic3—24no—
281C22×Dic3—28no—
282C22×Dic3—28no—
283C22×Dic3—24no—
284C22×Dic3—42no—
285C22×Dic3—44no—
286C22×Dic3—44no—
287C22×Dic3—416no—
288C22×Dic3C2×D414yes—
289C22×Dic3#4114yes—
290C22×Dic3C2412yes—
291C22×Dic3C2414yes—
292C22×Dic3C2412yes—
293C22×Dic3C2412yes—
294C22×Dic3C2412yes—
295C22×Dic3C2412yes—
296C2×C4×D3—28no—
297C2×C4×D3—28no—
298C2×C4×D3—44no—
299C2×C4×D3—416no—
300C2×Dic6—22no—
301C2×Dic6—42no—
302C3×C4⋊C4—22no—
303C3×C4⋊C4—42no—
304C3×C22⋊C4—28no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4—24no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—24no—
309C3×C22⋊C4—44no—
310#217—24no—
311#217—24no—
312#217—24no—
313#217—28no—
314#217—28no—
315#217—44no—
316#217—44no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—44no—
320(C2×D3)⋊C4—44no—
321(C2×D3)⋊C4C2×D418yes—
322(C2×D3)⋊C4C2×D418yes—
323C4⋊Dic3—22no—
324C4⋊Dic3—24no—
325C4⋊Dic3—28no—
326C4⋊Dic3—42no—
327Dic3⋊C4—24no—
328Dic3⋊C4—28no—
329Dic3⋊C4—28no—
330Dic3⋊C4—44no—
331C4×Dic3—24no—
332C4×Dic3—24no—
333C4×Dic3—24no—
334C4×Dic3—44no—
335C25—31no—
336C25C22×D311yescharacteristic
337C22×Q8—31no—
338C22×D4—34no—
339C22×D4—32no—
340C22×D4—32no—
341C22×D4—64no—
342C22×D4—64no—
343C22×D4—64no—
344C22×D4C22×D312yes—
345C22×D4C22×D314yes—
346C22×D4C22×D311yescharacteristic
347C23×C4—31no—
348C23×C4—31no—
349C23×C4—31no—
350C23×C4—34no—
351C23×C4—32no—
352C23×C4—34no—
353C23×C4—64no—
354C23×C4—64no—
355C23×C4—124no—
356C23×C4—124no—
357C23×C4C22×D311yescharacteristic
358C23×C4C22×D311yescharacteristic
359#126—68no—
360#124—68no—
361#123—68no—
362#123—68no—
363#123—128no—
364C22⋊Q8—64no—
365#121—24no—
366#121—68no—
367#120—28no—
368#120—68no—
369C4×D4—616no—
370C4×D4—616no—
371C4×D4—68no—
372C4×D4—128no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—34no—
379C2×C4⋊C4—34no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—64no—
382C2×C4⋊C4C22×D311yescharacteristic
383C2×C4⋊C4C22×D312yes—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—38no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4C22×D312yes—
400C2×C22⋊C4C22×D312yes—
401C2×C22⋊C4C22×D312yes—
402C2×C22⋊C4C22×D314yes—
403C2×C22⋊C4C22×D312yes—
404C2×C22⋊C4C22×D314yes—
405C2×C42—32no—
406C2×C42—32no—
407C2×C42—32no—
408C2×C42—34no—
409C2×C42—64no—
410#95—34no—
411#95—34no—
412#95—34no—
413#95—32no—
414#95—34no—
415#95—34no—
416#95—34no—
417#95C22×D312yes—
418#95C22×D314yes—
419C23×C3—22no—
420C23×C3—22no—
421C23×C3—28no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—24no—
425C23×C3—24no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3—24no—
430C23×C3—24no—
431C23×C3—48no—
432C23×C3—44no—
433C23×C3—44no—
434C23×C3—48no—
435C23×C3C22×D412yes—
436C23×C3C2×#4114yes—
437C23×C3C2×#4112yes—
438C23×C3C2×#4112yes—
439C23×C3C2511yescharacteristic
440C22×D3—28no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—24no—
444C22×D3—24no—
445C22×D3—44no—
446C22×D3—44no—
447C22×D3—48no—
448C22×D3—48no—
449C22×D3C22×D414yes—
450C3×D4—416no—
451C3×D4—48no—
452C3×D4—82no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—24no—
460C2×C3×C4—24no—
461C2×C3×C4—24no—
462C2×C3×C4—24no—
463C2×C3×C4—44no—
464C2×C3×C4—44no—
465C2×C3×C4C22×D412yes—
466C2×C3×C4C22×D412yes—
467#67—232no—
468#67—84no—
469#67—84no—
470C2×Dic3—28no—
471C2×Dic3—28no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—24no—
481C2×Dic3—24no—
482C2×Dic3—24no—
483C2×Dic3—24no—
484C2×Dic3—44no—
485C2×Dic3—416no—
486C2×Dic3—84no—
487C2×Dic3C22×D414yes—
488C2×Dic3C2×#4114yes—
489C2×Dic3H(5,𝔽2)14yes—
490C4×D3—416no—
491Dic6—82no—
492C24—22no—
493C24—22no—
494C24—32no—
495C24—34no—
496C24—42no—
497C24—42no—
498C24—62no—
499C24—62no—
500C24—122no—
501C24—122no—
502C24#23714yes—
503C24C23×D312yes—
504C24C23×D312yes—
505C24C23×D311yescharacteristic
506C2×Q8—62no—
507C2×Q8—122no—
508C2×D4—24no—
509C2×D4—28no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—44no—
514C2×D4—44no—
515C2×D4—42no—
516C2×D4—68no—
517C2×D4—68no—
518C2×D4—632no—
519C2×D4—68no—
520C2×D4—64no—
521C2×D4—64no—
522C2×D4—124no—
523C2×D4—124no—
524C22×C4—22no—
525C22×C4—34no—
526C22×C4—32no—
527C22×C4—32no—
528C22×C4—32no—
529C22×C4—34no—
530C22×C4—32no—
531C22×C4—34no—
532C22×C4—32no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—68no—
536C22×C4—68no—
537C22×C4—64no—
538C22×C4—68no—
539C22×C4—68no—
540C22×C4—64no—
541C22×C4—62no—
542C22×C4—62no—
543C22×C4—62no—
544C22×C4—124no—
545C22×C4—1216no—
546C22×C4—122no—
547C22×C4—124no—
548C22×C4—124no—
549C22×C4—1216no—
550C22×C4D3×D414yes—
551C22×C4C23×D314yes—
552C22×C4C23×D312yes—
553C22×C4C23×D312yes—
554C22×C4C23×D311yescharacteristic
555C22×C4C23×D311yescharacteristic
556C4⋊C4—22no—
557C4⋊C4—42no—
558C4⋊C4—68no—
559C4⋊C4—64no—
560C4⋊C4—68no—
561C4⋊C4—68no—
562C4⋊C4—64no—
563C4⋊C4—62no—
564C4⋊C4—124no—
565C4⋊C4—122no—
566C22⋊C4—28no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—38no—
572C22⋊C4—38no—
573C22⋊C4—44no—
574C22⋊C4—64no—
575C22⋊C4—64no—
576C22⋊C4—64no—
577C22⋊C4—68no—
578C22⋊C4—68no—
579C22⋊C4—64no—
580C22⋊C4—64no—
581C22⋊C4—124no—
582C22⋊C4—124no—
583C22⋊C4—124no—
584C22⋊C4—124no—
585C42—64no—
586C42—64no—
587C42—64no—
588C42—124no—
589C22×C3—24no—
590C22×C3—22no—
591C22×C3—22no—
592C22×C3—24no—
593C22×C3—24no—
594C22×C3—28no—
595C22×C3—416no—
596C22×C3—42no—
597C22×C3—42no—
598C22×C3—44no—
599C22×C3—42no—
600C22×C3—44no—
601C22×C3—42no—
602C22×C3—42no—
603C22×C3—44no—
604C22×C3#52514yes—
605C22×C3C23×D411yescharacteristic
606C22×C3C22×#4111yescharacteristic
607C22×C3C22×#4111yescharacteristic
608C22×C3C2×H(5,𝔽2)12yes—
609C22×C3#58512yes—
610C2×D3—24no—
611C2×D3—24no—
612C2×D3—24no—
613C2×D3—416no—
614C2×D3—44no—
615C2×D3—44no—
616C3×C4—22no—
617C3×C4—22no—
618C3×C4—42no—
619C3×C4—44no—
620C3×C4—42no—
621Dic3—24no—
622Dic3—24no—
623Dic3—24no—
624Dic3—42no—
625Dic3—42no—
626Dic3—44no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—24no—
632C23—24no—
633C23—28no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—24no—
638C23—24no—
639C23—34no—
640C23—48no—
641C23—44no—
642C23—44no—
643C23—48no—
644C23—62no—
645C23—62no—
646C23—64no—
647C23—64no—
648C23—68no—
649C23—124no—
650C23—124no—
651C23—128no—
652C23—128no—
653C23C2×D3×D412yes—
654C23C2×#23714yes—
655C23C2×#23712yes—
656C23D3×#4112yes—
657C23C24×D311yescharacteristic
658Q8—242no—
659D4—416no—
660D4—48no—
661D4—632no—
662D4—82no—
663D4—244no—
664D4—244no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—34no—
676C2×C4—34no—
677C2×C4—34no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—68no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—64no—
685C2×C4—62no—
686C2×C4—68no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—64no—
690C2×C4—64no—
691C2×C4—64no—
692C2×C4—64no—
693C2×C4—64no—
694C2×C4—1216no—
695C2×C4—124no—
696C2×C4—1216no—
697C2×C4—244no—
698C2×C4C2×D3×D412yes—
699C2×C4C2×D3×D412yes—
700C2×C3—24no—
701C2×C3—44no—
702C2×C3—82no—
703C2×C3C2×#52511yescharacteristic
704C2×C3#345912yes—
705C2×C3#348411yescharacteristic
706C2×C3#348511yescharacteristic
707C2×C3#350612yes—
708D3—44no—
709C22—24no—
710C22—22no—
711C22—22no—
712C22—24no—
713C22—28no—
714C22—24no—
715C22—416no—
716C22—42no—
717C22—42no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—42no—
722C22—44no—
723C22—42no—
724C22—64no—
725C22—64no—
726C22—64no—
727C22—1216no—
728C22—124no—
729C22—124no—
730C22#560614yes—
731C22C22×D3×D411yescharacteristic
732C22C22×#23711yescharacteristic
733C22C2×D3×#4111yescharacteristic
734C22D3×H(5,𝔽2)12yes—
735C22#596612yes—
736C4—22no—
737C4—22no—
738C4—44no—
739C4—42no—
740C4—42no—
741C4—64no—
742C4—64no—
743C4—64no—
744C4—122no—
745C4—122no—
746C4—124no—
747C3#3498611yescharacteristic, complemented, Sylow
748C2—24no—
749C2—44no—
750C2—82no—
751C2—124no—
752C2C2×#560611yescharacteristic
753C2#8629512yes—
754C2#8629611yescharacteristic
755C2#8633011yescharacteristic
756C2#8639112yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2617C2
hypercenter#2617D3
hypocenterC3#34986
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C2×#5617C2semidirect
2. C22×#67⋊C4C2semidirect
3. C3×#2617C2semidirect
4. #82699C2semidirect
5. #82607C2semidirect
6. Dic3×#120C2semidirect
7. #82117C2semidirect
8. #77471C2semidirect
9. #76912C2semidirect
10. #76908C2semidirect
11. #76677C2semidirect
12. #74936C2semidirect
13. #74664C2semidirect
14. #74004C2semidirect
15. #74000C2semidirect
23. C2×#939C22semidirect
27. C2×D4×Dic3C22semidirect
33. C2×#898C22semidirect
34. C2×#886C22semidirect
35. C2×#885C22semidirect
36. C2×#883C22semidirect
40. C3×#397C22semidirect
41. C3×#394C22semidirect
42. C3×#392C22semidirect
48. #5221C22semidirect
50. #5220C22semidirect
53. #4990C22semidirect
54. #4984C22semidirect
55. #4973C22semidirect
56. #4972C22semidirect
59. #4956C22semidirect
62. #4950C22semidirect
63. #4949C22semidirect
64. #4948C22semidirect
65. #4947C22semidirect
66. #4946C22semidirect
67. #4944C22semidirect
68. #4944C22semidirect
71. Dic3×C22⋊C4C22semidirect
72. #4670C22semidirect
73. #4668C22semidirect
74. #4664C22semidirect
75. #4653C22semidirect
76. #4652C22semidirect
77. #4647C22semidirect
84. #2617D3semidirect
140. C2×(C2×D3)⋊C4D4semidirect
201. #397C2×D3semidirect
205. #394C2×D3semidirect
209. #392C2×D3semidirect
747. C3#34986semidirect

Maximal subgroups

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

subgroupindex
C2×#56172
C22×#67⋊C42
C3×#26172
#826992
#826072
Dic3×#1202
#821172
#774712
#769122
#769082
#766772
#749362
#746642
#740042
#740002
#349863