Finite Group Databasebeta

← #11069679

Subgroups — #11069679

Order 768.

2306 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5603C212yesmaximal, complemented
2C3×#2541C211yesmaximal, characteristic
3#83184C211yesmaximal, characteristic, complemented
4#83179C212yesmaximal, complemented
5#83176C212yesmaximal, complemented
6#83173C211yesmaximal, characteristic, complemented
7#82677C212yesmaximal, complemented
8#82647C212yesmaximal, complemented
9#82646C212yesmaximal, complemented
10#82379C211yesmaximal, characteristic, complemented
11#82319C211yesmaximal, characteristic, complemented
12#76731C214yesmaximal, complemented
13#76724C214yesmaximal, complemented
14#76346C212yesmaximal, complemented
15#76338C212yesmaximal, complemented
16#73650C211yesmaximal, characteristic, complemented
17C4×#888C211yesmaximal, characteristic, complemented
18#39387—31nomaximal, Sylow
19C2×C3×#127C2211yescharacteristic
20C2×C3×#127C2212yes—
21C2×C3×#121C2212yes—
22C2×C3×#121C2212yes—
23C2×C3×C4×D4C2211yescharacteristic
24C2×#936C2214yes—
25C2×#936C2212yes—
26C2×#936C2212yes—
27C2×#935C2214yes—
28C2×D4×Dic3C2212yes—
29C2×D4×Dic3C2212yes—
30C2×#926C2212yes—
31C2×#924C2212yes—
32C2×#924C2212yes—
33#5603—216no—
34C2×#888C2211yescharacteristic
35C2×#887C2212yes—
36C2×#879C2214yes—
37C2×#878C2214yes—
38C2×#869C2211yescharacteristic
39C2×C4×Dic6C2212yes—
40C3×#392C2214yes—
41C3×#390C2212yes—
42C3×C4×C4⋊C4C2211yescharacteristic
43#5222C2214yes—
44#5222C2214yes—
45#5222C2214yes—
46#5222C2214yes—
47#5221C2212yes—
48#5221C2212yes—
49#5221C2212yes—
50#5221C2211yescharacteristic
51#5221C2211yescharacteristic
52#5221C2212yes—
53#5221C2214yes—
54#5221C2212yes—
55#5221C2212yes—
56#5221C2212yes—
57#5220C2214yes—
58#5220C2214yes—
59C4×#217C2212yes—
60#4984C2211yescharacteristic
61#4984C2211yescharacteristic
62#4984C2211yescharacteristic
63#4975C2212yes—
64#4975C2211yescharacteristic
65#4973C2212yes—
66#4972C2211yescharacteristic
67#4952C2214yes—
68#4951C2212yes—
69#4951C2212yes—
70#4949C2214yes—
71#4948C2214yes—
72#4948C2214yes—
73#4948C2214yes—
74#4944C2214yes—
75#4942C2214yes—
76C4×C4⋊Dic3C2212yes—
77C4×C4⋊Dic3C2211yescharacteristic
78C4×C4⋊Dic3C2211yescharacteristic
79C4×Dic3⋊C4C2212yes—
80C42×Dic3C2211yescharacteristic
81#4928C2212yes—
82#4653C2214yes—
83#4647C2212yes—
84#4646C2212yes—
85C2×#542—32no—
86#2858—31no—
87#2730—34no—
88#2705—34no—
89#2620—32no—
90#2548—32no—
91#2542—31no—
92#2541D311yescharacteristic
93#2538—32no—
94#2512—32no—
95#2445—32no—
96#2427—32no—
97#2426—32no—
98#2366—31no—
99#2365—31no—
100C4×C4⋊Q8—31no—
101#2293—31no—
102C22×C3×D4C2311yescharacteristic
103C22×C3×D4C2312yes—
104C22×C3×D4C2312yes—
105C22×C3×D4C2312yes—
106C22×C3×D4C2314yes—
107C22×C3×D4C2314yes—
108C23×C3×C4C2312yes—
109C23×Dic3C2314yes—
110C22×Dic6C2312yes—
111C22×Dic6C2312yes—
112C3×#127—24no—
113C3×#127—44no—
114C3×#121—28no—
115C3×#121—44no—
116C3×C4×D4—24no—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C42C2312yes—
124C2×C3×C42C2311yescharacteristic
125C2×#217C2314yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134C2×#217C2314yes—
135C2×#217C2314yes—
136C2×#217C2312yes—
137C2×#217C2312yes—
138#936—216no—
139#936—28no—
140#936—44no—
141#935—216no—
142D4×Dic3—28no—
143D4×Dic3—44no—
144#926—28no—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2311yescharacteristic
150C2×C4⋊Dic3C2312yes—
151C2×C4⋊Dic3C2312yes—
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2311yescharacteristic
154#924—28no—
155#924—44no—
156C2×Dic3⋊C4C2314yes—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2312yes—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2312yes—
161C2×Dic3⋊C4C2314yes—
162C2×Dic3⋊C4C2312yes—
163C2×C4×Dic3C2314yes—
164C2×C4×Dic3C2311yescharacteristic
165C2×C4×Dic3C2311yescharacteristic
166C2×C4×Dic3C2311yescharacteristic
167C2×C4×Dic3C2312yes—
168C2×C4×Dic3C2312yes—
169C2×C4×Dic3C2311yescharacteristic
170C2×C4×Dic3C2311yescharacteristic
171C2×C4×Dic3C2311yescharacteristic
172#888D418yescomplemented
173#887—28no—
174#879—216no—
175#878—216no—
176#869—24no—
177C4×Dic6—44no—
178C3×#95C2312yes—
179C3⋊#95C2312yes—
180C3⋊#95C2312yes—
181C3⋊#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2314yes—
184C3⋊#95C2314yes—
185C3⋊#95C2312yes—
186C3⋊#95C2312yes—
187#542—616no—
188C2×C4⋊Q8—31no—
189C2×C4⋊Q8—31no—
190C2×#127C2×D311yescharacteristic
191C2×#127C2×D312yes—
192C2×#126—34no—
193C2×#124—32no—
194C2×#124—34no—
195C2×#124—32no—
196C2×#123—34no—
197C2×C22⋊Q8—32no—
198C2×C22⋊Q8—32no—
199C2×C22⋊Q8—34no—
200C2×#121C2×D312yes—
201C2×#121C2×D312yes—
202C2×C4×Q8—32no—
203C2×C4×Q8—32no—
204C2×C4×D4—32no—
205C2×C4×D4—32no—
206C2×C4×D4C2×D311yescharacteristic
207C2×#117—32no—
208#399—34no—
209#397—34no—
210#396—34no—
211#396—34no—
212#396—34no—
213#394—34no—
214#394—34no—
215#394—34no—
216#394—34no—
217#392C2×D314yes—
218#391—32no—
219#391—32no—
220#390—32no—
221#390—32no—
222#390—32no—
223#390—32no—
224#390—32no—
225#390—32no—
226#390—34no—
227#390—31no—
228#390—32no—
229#390—31no—
230#390C2×D312yes—
231#389—31no—
232#389—31no—
233#389—31no—
234#389—31no—
235#389—32no—
236#389—32no—
237#388—34no—
238#388—32no—
239#388—32no—
240#387—34no—
241#386—34no—
242#386—34no—
243#384—31no—
244#384—32no—
245#380—34no—
246C4×C4⋊C4—31no—
247C4×C4⋊C4—32no—
248C4×C4⋊C4—31no—
249C4×C4⋊C4—32no—
250C4×C4⋊C4C2×D311yescharacteristic
251C4×C22⋊C4—32no—
252C43—31no—
253C24×C3C2412yes—
254C24×C3C2414yes—
255C2×C3×D4—24no—
256C2×C3×D4—28no—
257C2×C3×D4—22no—
258C2×C3×D4—24no—
259C2×C3×D4—24no—
260C2×C3×D4—24no—
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4—22no—
264C2×C3×D4—22no—
265C2×C3×D4—24no—
266C2×C3×D4—44no—
267C2×C3×D4—44no—
268C2×C3×D4—44no—
269C2×C3×D4—42no—
270C2×C3×D4—42no—
271C2×C3×D4—44no—
272C2×C3×D4—44no—
273C22×C3×C4—24no—
274C22×C3×C4—24no—
275C22×C3×C4—24no—
276C22×C3×C4C2412yes—
277C22×C3×C4C2412yes—
278C22×C3×C4C2412yes—
279C22×C3×C4C2411yescharacteristic
280C22×C3×C4C2411yescharacteristic
281C22×C3×C4C2411yescharacteristic
282C22×Dic3—28no—
283C22×Dic3—44no—
284C22×Dic3—44no—
285C22×Dic3C2411yescharacteristic
286C22×Dic3C2412yes—
287C22×Dic3C2412yes—
288C22×Dic3C2411yescharacteristic
289C22×Dic3C2412yes—
290C22×Dic3C2414yes—
291C22×Dic3C2412yes—
292C22×Dic3C2411yescharacteristic
293C22×Dic3C2411yescharacteristic
294C2×Dic6—24no—
295C2×Dic6—24no—
296C2×Dic6—24no—
297C2×Dic6—42no—
298C2×Dic6—42no—
299C2×Dic6C2×D418yes—
300C3×C4⋊C4—22no—
301C3×C4⋊C4—22no—
302C3×C4⋊C4C2×D414yes—
303C3×C22⋊C4—28no—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—44no—
306C3×C42—24no—
307C3×C42#4114yes—
308#217—28no—
309#217—28no—
310#217—28no—
311#217—28no—
312#217—24no—
313#217—24no—
314#217—44no—
315#217—44no—
316#217—44no—
317#217—44no—
318#217—42no—
319#217—42no—
320#217—44no—
321C4⋊Dic3—24no—
322C4⋊Dic3—24no—
323C4⋊Dic3—22no—
324C4⋊Dic3—22no—
325C4⋊Dic3—22no—
326C4⋊Dic3—24no—
327C4⋊Dic3—24no—
328C4⋊Dic3—42no—
329C4⋊Dic3C2×D414yes—
330Dic3⋊C4—28no—
331Dic3⋊C4—28no—
332Dic3⋊C4—42no—
333Dic3⋊C4—42no—
334Dic3⋊C4—42no—
335Dic3⋊C4—44no—
336Dic3⋊C4C2×D418yes—
337C4×Dic3—28no—
338C4×Dic3—24no—
339C4×Dic3—22no—
340C4×Dic3—24no—
341C4×Dic3—22no—
342C4×Dic3—22no—
343C4×Dic3—41no—
344C4×Dic3—41no—
345C4×Dic3C2×D414yes—
346C22×Q8—32no—
347C22×Q8—32no—
348C22×D4C22×D312yes—
349C22×D4C22×D312yes—
350C22×D4C22×D311yescharacteristic
351C22×D4C22×D314yes—
352C22×D4C22×D312yes—
353C22×D4C22×D314yes—
354C23×C4—34no—
355C23×C4C22×D312yes—
356C4⋊Q8—38no—
357C4⋊Q8—64no—
358#127—24no—
359#127—44no—
360#126—616no—
361#124—68no—
362#124—616no—
363#124—124no—
364#123—616no—
365C22⋊Q8—616no—
366C22⋊Q8—68no—
367C22⋊Q8—124no—
368#121—28no—
369#121—44no—
370C4×Q8—68no—
371C4×Q8—124no—
372C4×D4—24no—
373C4×D4—68no—
374C4×D4—124no—
375#117—68no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—34no—
383C2×C4⋊C4—31no—
384C2×C4⋊C4—32no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—34no—
391C2×C4⋊C4—32no—
392C2×C4⋊C4C22×D311yescharacteristic
393C2×C4⋊C4C22×D311yescharacteristic
394C2×C4⋊C4C22×D311yescharacteristic
395C2×C22⋊C4—32no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—34no—
404C2×C22⋊C4—34no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—32no—
407C2×C22⋊C4—34no—
408C2×C22⋊C4C22×D312yes—
409C2×C22⋊C4C22×D314yes—
410C2×C22⋊C4C22×D314yes—
411C2×C42—31no—
412C2×C42—32no—
413C2×C42—32no—
414C2×C42—31no—
415C2×C42—34no—
416C2×C42—31no—
417C2×C42—31no—
418C2×C42—31no—
419C2×C42—31no—
420C2×C42C22×D312yes—
421C2×C42C22×D311yescharacteristic
422#95—32no—
423#95—32no—
424#95—32no—
425#95—32no—
426#95—32no—
427#95—34no—
428#95—32no—
429#95—34no—
430#95C22×D312yes—
431C23×C3—22no—
432C23×C3—24no—
433C23×C3—22no—
434C23×C3—24no—
435C23×C3—24no—
436C23×C3—22no—
437C23×C3—24no—
438C23×C3—22no—
439C23×C3—22no—
440C23×C3—24no—
441C23×C3—22no—
442C23×C3—24no—
443C23×C3—22no—
444C23×C3—24no—
445C23×C3C2511yescharacteristic
446C3×D4—44no—
447C3×D4—48no—
448C3×D4—48no—
449C3×D4—88no—
450C3×D4—84no—
451C3×D4—88no—
452C2×C3×C4—22no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—48no—
463C2×C3×C4C22×D414yes—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C2×#4112yes—
466C2×C3×C4C2×#4112yes—
467C2×C3×C4C2×#4112yes—
468C2×C3×C4H(5,𝔽2)12yes—
469C2×C3×C4H(5,𝔽2)12yes—
470C2×C3×C42−1+412yes—
471C2×Dic3—21no—
472C2×Dic3—22no—
473C2×Dic3—21no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—24no—
481C2×Dic3—21no—
482C2×Dic3—22no—
483C2×Dic3—21no—
484C2×Dic3—21no—
485C2×Dic3—22no—
486C2×Dic3—24no—
487C2×Dic3—22no—
488C2×Dic3—21no—
489C2×Dic3—22no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—22no—
493C2×Dic3—22no—
494C2×Dic3—22no—
495C2×Dic3—88no—
496C2×Dic3C22×D412yes—
497C2×Dic3C22×D412yes—
498C2×Dic3C22×D414yes—
499Dic6—48no—
500Dic6—48no—
501C24C23×D312yes—
502C24C23×D314yes—
503C2×Q8—38no—
504C2×Q8—64no—
505C2×Q8—64no—
506C2×Q8—64no—
507C2×Q8—122no—
508C2×Q8—122no—
509C2×D4—24no—
510C2×D4—28no—
511C2×D4—22no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—22no—
520C2×D4—44no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—44no—
526C2×D4—44no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—32no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—31no—
534C22×C4—32no—
535C22×C4—32no—
536C22×C4—31no—
537C22×C4—32no—
538C22×C4—34no—
539C22×C4—68no—
540C22×C4—124no—
541C22×C4—124no—
542C22×C4C23×D312yes—
543C22×C4C23×D312yes—
544C22×C4C23×D312yes—
545C22×C4C23×D311yescharacteristic
546C22×C4C23×D311yescharacteristic
547C22×C4C23×D311yescharacteristic
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—34no—
551C4⋊C4—38no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—68no—
555C4⋊C4—68no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—62no—
559C4⋊C4—62no—
560C4⋊C4—62no—
561C4⋊C4—122no—
562C4⋊C4—122no—
563C4⋊C4—122no—
564C4⋊C4—124no—
565C4⋊C4—122no—
566C4⋊C4D3×D414yes—
567C22⋊C4—28no—
568C22⋊C4—24no—
569C22⋊C4—44no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—68no—
573C22⋊C4—68no—
574C22⋊C4—68no—
575C22⋊C4—68no—
576C22⋊C4—124no—
577C22⋊C4—124no—
578C22⋊C4—124no—
579C22⋊C4—124no—
580C22⋊C4—122no—
581C22⋊C4—122no—
582C22⋊C4—124no—
583C42—24no—
584C42—34no—
585C42—64no—
586C42—68no—
587C42—64no—
588C42—62no—
589C42—62no—
590C42—62no—
591C42—121no—
592C42—121no—
593C42#23714yes—
594C22×C3—42no—
595C22×C3—44no—
596C22×C3—42no—
597C22×C3—44no—
598C22×C3—44no—
599C22×C3—42no—
600C22×C3—42no—
601C22×C3—44no—
602C22×C3—44no—
603C22×C3—42no—
604C22×C3—42no—
605C22×C3—44no—
606C22×C3—44no—
607C22×C3—42no—
608C22×C3C23×D411yescharacteristic
609C22×C3C22×#4111yescharacteristic
610C22×C3C2×H(5,𝔽2)11yescharacteristic
611C22×C3C2×H(5,𝔽2)11yescharacteristic
612C22×C3C2×2−1+411yescharacteristic
613C22×C3#58511yescharacteristic
614C22×C3#58511yescharacteristic
615C3×C4—24no—
616C3×C4—22no—
617C3×C4—42no—
618C3×C4—42no—
619C3×C4#54214yescomplemented
620C3×C4#55014yes—
621Dic3—22no—
622Dic3—24no—
623Dic3—22no—
624Dic3—44no—
625Dic3—42no—
626Dic3—42no—
627Dic3—41no—
628Dic3—42no—
629Dic3—41no—
630C23—24no—
631C23—22no—
632C23—22no—
633C23—24no—
634C23—24no—
635C23—22no—
636C23—24no—
637C23—22no—
638C23—22no—
639C23—24no—
640C23—24no—
641C23—22no—
642C23—22no—
643C23—24no—
644C23C24×D311yescharacteristic
645Q8—128no—
646Q8—128no—
647D4—48no—
648D4—44no—
649D4—48no—
650D4—84no—
651D4—88no—
652D4—88no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—32no—
664C2×C4—32no—
665C2×C4—34no—
666C2×C4—48no—
667C2×C4—61no—
668C2×C4—62no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—64no—
675C2×C4—62no—
676C2×C4—64no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—62no—
680C2×C4—61no—
681C2×C4—64no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—248no—
692C2×C4C2×D3×D414yes—
693C2×C4C2×D3×D412yes—
694C2×C4C2×#23712yes—
695C2×C4C2×#23712yes—
696C2×C4C2×#23712yes—
697C2×C4#100412yes—
698C2×C4#100412yes—
699C2×C4#101012yes—
700C2×C3—82no—
701C2×C3—84no—
702C2×C3C2×#54211yescharacteristic
703C2×C3C2×#55011yescharacteristic
704C2×C3#349611yescharacteristic
705C2×C3#349711yescharacteristic
706C2×C3#351011yescharacteristic
707C2×C3#354611yescharacteristic
708C2×C3#355411yescharacteristic
709C22—44no—
710C22—42no—
711C22—44no—
712C22—42no—
713C22—44no—
714C22—42no—
715C22—44no—
716C22—42no—
717C22—42no—
718C22—44no—
719C22—42no—
720C22—44no—
721C22—42no—
722C22—44no—
723C22C22×D3×D411yescharacteristic
724C22C22×#23711yescharacteristic
725C22C2×#100411yescharacteristic
726C22C2×#100411yescharacteristic
727C22C2×#101011yescharacteristic
728C22#596611yescharacteristic
729C22#596611yescharacteristic
730C4—22no—
731C4—24no—
732C4—42no—
733C4—42no—
734C4—62no—
735C4—64no—
736C4—62no—
737C4—122no—
738C4—121no—
739C4—122no—
740C4—121no—
741C4—122no—
742C4—124no—
743C4#560314yescomplemented
744C4#571814yes—
745C3#3938711yescharacteristic, complemented, Sylow
746C2—84no—
747C2—82no—
748C2C2×#560311yescharacteristic
749C2C2×#571811yescharacteristic
750C2#8632011yescharacteristic
751C2#8662111yescharacteristic
752C2#8662511yescharacteristic
753C2#8678411yescharacteristic
754C2#8678911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2541C2
hypercenter#2541D3
hypocenterC3#39387
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2541

Complements

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

NH ≅ G/Ntype
1. C2×#5603C2semidirect
3. #83184C2semidirect
4. #83179C2semidirect
5. #83176C2semidirect
6. #83173C2semidirect
7. #82677C2semidirect
8. #82647C2semidirect
9. #82646C2semidirect
10. #82379C2semidirect
11. #82319C2semidirect
12. #76731C2semidirect
13. #76724C2semidirect
14. #76346C2semidirect
15. #76338C2semidirect
16. #73650C2semidirect
17. C4×#888C2semidirect
172. #888D4semidirect
619. C3×C4#542semidirect
743. C4#5603semidirect
745. C3#39387semidirect

Maximal subgroups

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

subgroupindex
C2×#56032
C3×#25412
#831842
#831792
#831762
#831732
#826772
#826472
#826462
#823792
#823192
#767312
#767242
#763462
#763382
#736502
C4×#8882
#393873