Finite Group Databasebeta

← #10801656

Subgroups — #10801656

Order 768.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#83296C211yesmaximal, characteristic
2#83276C211yesmaximal, characteristic, complemented
3C2×#4823C211yesmaximal, characteristic, complemented
4C2×#4824C211yesmaximal, characteristic, complemented
5#78516C211yesmaximal, characteristic, complemented
6C3×#1980C211yesmaximal, characteristic, complemented
7#70390C211yesmaximal, characteristic, complemented
8#70390C211yesmaximal, characteristic, complemented
9#70370C211yesmaximal, characteristic, complemented
10#70369C211yesmaximal, characteristic, complemented
11#70367C211yesmaximal, characteristic, complemented
12#70367C211yesmaximal, characteristic, complemented
13#69875C211yesmaximal, characteristic, complemented
14#69494C211yesmaximal, characteristic, complemented
15#69478C211yesmaximal, characteristic, complemented
16#21519—31nomaximal, Sylow
17C3×#532C2211yescharacteristic
18C2×#950C2211yescharacteristic
19C2×#950C2211yescharacteristic
20C2×#948C2211yescharacteristic
21C2×#948C2211yescharacteristic
22C2×#907C2211yescharacteristic
23C2×#907C2211yescharacteristic
24C4×#235C2211yescharacteristic
25C2×C3×#104C2211yescharacteristic
26C2×C3×#104C2211yescharacteristic
27C2×C3×#104C2211yescharacteristic
28C2×C3×#104C2211yescharacteristic
29C3×C4×M16C2211yescharacteristic
30C3×C4×C4⋊C4C2211yescharacteristic
31#5234C2211yescharacteristic
32#5234C2211yescharacteristic
33#5233C2211yescharacteristic
34#5233C2211yescharacteristic
35C2×#822C2211yescharacteristic
36C2×#822C2211yescharacteristic
37#5122C2211yescharacteristic
38#5122C2211yescharacteristic
39#5090C411yescharacteristic, complemented
40#5083C411yescharacteristic, complemented
41#5075C411yescharacteristic, complemented
42#5072C411yescharacteristic, complemented
43#5057C411yescharacteristic, complemented
44#5057C411yescharacteristic, complemented
45#5054C411yescharacteristic, complemented
46#5054C411yescharacteristic, complemented
47#5011—21no—
48#5011—21no—
49#5011—21no—
50#5011—21no—
51C2×#805C2211yescharacteristic
52C2×#805C2211yescharacteristic
53#4924C2211yescharacteristic
54C2×C4⋊(C3⋊C8)C2211yescharacteristic
55C2×#803C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4824—24no—
59#4823—24no—
60#4707—21no—
61D3×#97—21no—
62#4689—21no—
63#4689—21no—
64#4558C2211yescharacteristic
65#4558C2211yescharacteristic
66#4524C2211yescharacteristic
67#4524C2211yescharacteristic
68#4523C2211yescharacteristic
69#4523C2211yescharacteristic
70#3035—31no—
71C2×#444—31no—
72C2×#443—31no—
73#2932—31no—
74#2875—31no—
75#1980D311yescharacteristic, complemented
76#1950—31no—
77#1929—31no—
78#1929—31no—
79#1876—31no—
80#1876—31no—
81#1806—31no—
82#1771—31no—
83#1765—31no—
84#1764—31no—
85C2×C3×#41C2311yescharacteristic
86C2×C3×#41C2311yescharacteristic
87C2×#235C2311yescharacteristic
88C2×C3×M16C2311yescharacteristic
89C2×C3×M16C2311yescharacteristic
90C3×C4⋊Q8C2×C411yescharacteristic
91C3×#127C2×C411yescharacteristic
92C3×#124C2×C411yescharacteristic
93C3×#124C2×C411yescharacteristic
94C3×#121—21no—
95C3×#121—21no—
96C3×C4×D4—21no—
97C3×C4×D4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C42C2311yescharacteristic
100C2×C3×C42C2311yescharacteristic
101C2×C3×C42C2311yescharacteristic
102#950—22no—
103#950—22no—
104#950—22no—
105#950—22no—
106#948—22no—
107#948—22no—
108#948—22no—
109#948—22no—
110C2×#216C2×C411yescharacteristic
111C2×#216C2×C411yescharacteristic
112C2×#215C2×C411yescharacteristic
113C2×#215C2×C411yescharacteristic
114C2×#214C2×C411yescharacteristic
115C2×#214C2×C411yescharacteristic
116C2×#213C2×C411yescharacteristic
117C2×#213C2×C411yescharacteristic
118C4×#67—21no—
119C4×#67—21no—
120#926C2311yescharacteristic
121C2×#208—21no—
122C2×#208—21no—
123C2×#208C2311yescharacteristic
124C2×#208C2311yescharacteristic
125C22×C3⋊C8—21no—
126C22×C3⋊C8—21no—
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#907—22no—
132#907—22no—
133#907—22no—
134#907D414yescomplemented
135C2×ΓL(1,𝔽25)—21no—
136C2×ΓL(1,𝔽25)—21no—
137C2×D3×C8—21no—
138C2×D3×C8—21no—
139C4×D12C2×C411yescharacteristic
140C4×D12C2×C411yescharacteristic
141#872—21no—
142C42×D3—21no—
143C4×Dic6C2×C411yescharacteristic
144C4×Dic6C2×C411yescharacteristic
145C3×#104—22no—
146C3×#104—22no—
147C3×#104—22no—
148C3×#104—22no—
149C3×#97—21no—
150C3×C4×C8—21no—
151C3×#95—21no—
152#835C2×C411yescharacteristic
153#835C2×C411yescharacteristic
154#835C2×C411yescharacteristic
155#835C2×C411yescharacteristic
156#832C2×C411yescharacteristic
157#832C2×C411yescharacteristic
158#832C2×C411yescharacteristic
159#832C2×C411yescharacteristic
160#830—21no—
161#830—21no—
162#830—21no—
163#830—21no—
164#822—22no—
165#822—22no—
166#815—21no—
167#815—21no—
168C8×Dic3—21no—
169C8×Dic3—21no—
170#805—22no—
171#805—22no—
172C4⋊(C3⋊C8)—21no—
173C4⋊(C3⋊C8)—21no—
174C4⋊(C3⋊C8)C2×C411yescharacteristic
175C4⋊(C3⋊C8)C2×C411yescharacteristic
176C4⋊(C3⋊C8)C2×C411yescharacteristic
177C4⋊(C3⋊C8)C2×C411yescharacteristic
178#803—22no—
179#803D411yescharacteristic
180#803D411yescharacteristic
181#803D411yescharacteristic
182#803D411yescharacteristic
183C4×C3⋊C8—22no—
184C2×#135—31no—
185C2×#135—31no—
186C2×#131—31no—
187C2×#131—31no—
188C2×#131—31no—
189C2×#131—31no—
190#532C2×D311yescharacteristic
191C4×#41—31no—
192#464—31no—
193#464—31no—
194#463—31no—
195#463—31no—
196#462—31no—
197#461—31no—
198#460—31no—
199#459—31no—
200#444—64no—
201#443—64no—
202#435—61no—
203#435—61no—
204#435—61no—
205#435—61no—
206C2×#108—31no—
207C2×#108—31no—
208#423—31no—
209C2×C4⋊C8—31no—
210C2×#104—31no—
211C2×#104—31no—
212C2×#104C2×D311yescharacteristic
213C2×#104C2×D311yescharacteristic
214C2×#104C2×D311yescharacteristic
215C2×#104C2×D311yescharacteristic
216#416—31no—
217#416—31no—
218#408—31no—
219#408—31no—
220#405—31no—
221#405—31no—
222#405—61no—
223#405—61no—
224C4×M16—61no—
225C4×M16C2×D311yescharacteristic
226C2×#97—31no—
227C2×#97—31no—
228C2×#97—61no—
229C2×C4×C8—31no—
230C4×C4⋊C4C2×D311yescharacteristic
231#341—31no—
232#341—31no—
233#339—31no—
234#339—31no—
235#336—31no—
236#336—31no—
237C3×#41—21no—
238C3×#41—21no—
239C3×#41—21no—
240C3×#41—21no—
241C3×#41—21no—
242C3×#41—21no—
243C3×#41—21no—
244C3×#41—21no—
245C2×C3×Q8C22×C411yescharacteristic
246C2×C3×Q8C22×C411yescharacteristic
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4—21no—
250C2×C3×D4—21no—
251C2×C3×D4C22×C411yescharacteristic
252C2×C3×D4C22×C411yescharacteristic
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4#4111yescharacteristic
258C22×C3×C4#4111yescharacteristic
259C22×C3×C4C2411yescharacteristic
260C2×#67—21no—
261#235—21no—
262#235—21no—
263#235C2×D412yes—
264#235#4112yes—
265C2×D12C22×C411yescharacteristic
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×C4×D3—21no—
269C2×Dic6C22×C411yescharacteristic
270C3×M16—21no—
271C3×M16—21no—
272C3×M16C2×D412yes—
273C3×M16#4112yes—
274C2×C3×C8—21no—
275C2×C3×C8—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—42no—
279C3×C22⋊C4—21no—
280C3×C22⋊C4—21no—
281C3×C22⋊C4—21no—
282C3×C22⋊C4—21no—
283C3×C42—21no—
284C3×C42—21no—
285C3×C42—21no—
286C3×C42—21no—
287C3×C42C22×C411yescharacteristic
288C3×C42C22×C411yescharacteristic
289C3×C42C2×D411yescharacteristic
290C3×C42C2×D411yescharacteristic
291#217—21no—
292#216—22no—
293#216—22no—
294#215—22no—
295#215—22no—
296#214—22no—
297#214—22no—
298#213—22no—
299#213—22no—
300(C2×D3)⋊C4—21no—
301(C2×D3)⋊C4—21no—
302C4⋊Dic3C22×C411yescharacteristic
303C4⋊Dic3C22×C411yescharacteristic
304Dic3⋊C4—21no—
305Dic3⋊C4—21no—
306C4×Dic3—21no—
307C4×Dic3—21no—
308C4×Dic3—21no—
309#208—21no—
310#208—21no—
311#208—21no—
312#208—21no—
313#208—42no—
314#208—42no—
315C2×C3⋊C8—21no—
316C2×C3⋊C8—21no—
317C2×C3⋊C8—21no—
318C2×C3⋊C8—21no—
319C2×C3⋊C8—21no—
320C2×C3⋊C8—21no—
321C2×C3⋊C8—21no—
322C2×C3⋊C8—21no—
323C2×C3⋊C8—42no—
324C2×C3⋊C8—42no—
325C2×C3⋊C8C22×C411yescharacteristic
326C2×C3⋊C8C22×C411yescharacteristic
327C2×C3⋊C8C22×C411yescharacteristic
328C2×C3⋊C8C22×C411yescharacteristic
329C2×C3⋊C8C2×D411yescharacteristic
330C2×C3⋊C8C2×D411yescharacteristic
331C2×C3⋊C8C2×D412yes—
332C2×C3⋊C8C2×D411yescharacteristic
333C2×C3⋊C8C2×D411yescharacteristic
334C2×C3⋊C8#4112yes—
335ΓL(1,𝔽25)—24no—
336ΓL(1,𝔽25)—24no—
337D3×C8—24no—
338D3×C8—24no—
339C2×#41—31no—
340C2×#41C22×D311yescharacteristic
341C2×#41C22×D311yescharacteristic
342#135—62no—
343#135—62no—
344#135—62no—
345#135—62no—
346C2×Q16—31no—
347C2×Q16—31no—
348C2×SD16—31no—
349C2×SD16—31no—
350C2×SD16—31no—
351C2×SD16—31no—
352C2×D8—31no—
353C2×D8—31no—
354#131—34no—
355#131—62no—
356#131—62no—
357#131—62no—
358#131—62no—
359#131—62no—
360#131—62no—
361#131—62no—
362C2×M16—31no—
363C2×M16—31no—
364C2×M16—61no—
365C2×M16—61no—
366C2×M16—61no—
367C2×M16—61no—
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—31no—
371C22×C8—31no—
372C22×C8—31no—
373C22×C8—31no—
374C22×C8—61no—
375C22×C8—61no—
376C22×C8—61no—
377C22×C8—61no—
378C4⋊Q8C4×D311yescharacteristic
379#127C4×D311yescharacteristic
380#124C4×D311yescharacteristic
381#124C4×D311yescharacteristic
382#121—21no—
383#121—21no—
384C4×Q8—31no—
385C4×Q8—31no—
386C4×D4—21no—
387C4×D4—21no—
388C4×D4—31no—
389C4×D4—31no—
390C4×D4—61no—
391C4×D4—61no—
392#117—31no—
393#117—61no—
394C2×C4⋊C4—21no—
395C2×C42—61no—
396C2×C42C22×D311yescharacteristic
397C2×C42C22×D311yescharacteristic
398C2×C42C22×D311yescharacteristic
399#108—62no—
400#108—62no—
401C4⋊C8—31no—
402C4⋊C8—31no—
403C4⋊C8—31no—
404C4⋊C8—31no—
405C4⋊C8—61no—
406C4⋊C8—61no—
407#104—22no—
408#104—22no—
409#104—22no—
410#104—22no—
411#104—62no—
412#104—62no—
413#103—31no—
414#103—31no—
415#103—31no—
416#103—31no—
417#102—31no—
418#102—31no—
419#102—31no—
420#102—31no—
421C22⋊C8—61no—
422C22⋊C8—61no—
423C22⋊C8—61no—
424C22⋊C8—61no—
425#97—21no—
426#97—31no—
427#97—31no—
428#97—31no—
429#97—31no—
430#97—62no—
431#97—61no—
432#97—61no—
433C4×C8—21no—
434C4×C8—62no—
435C4×C8—61no—
436C4×C8—61no—
437#95—21no—
438C23×C3—21no—
439C23×C3—21no—
440C23×C3C2×#4111yescharacteristic
441C22×D3—21no—
442C3×Q8—21no—
443C3×Q8—21no—
444C3×Q8—21no—
445C3×Q8—21no—
446C3×D4—21no—
447C3×D4—21no—
448C3×D4—21no—
449C3×D4—21no—
450C3×D4—41no—
451C3×D4—41no—
452C3×D4—41no—
453C3×D4—41no—
454C3×D4—81no—
455C3×D4—81no—
456C2×C3×C4—22no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—41no—
460C2×C3×C4—41no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4—41no—
464C2×C3×C4—41no—
465C2×C3×C4—41no—
466C2×C3×C4—41no—
467C2×C3×C4—41no—
468C2×C3×C4—41no—
469C2×C3×C4—41no—
470C2×C3×C4C4×D411yescharacteristic
471C2×C3×C4C4×D411yescharacteristic
472C2×C3×C4C4×D411yescharacteristic
473C2×C3×C4C4×D411yescharacteristic
474C2×C3×C4C23×C411yescharacteristic
475C2×C3×C4C22×D411yescharacteristic
476C2×C3×C4C22×D411yescharacteristic
477C2×C3×C4C2×#4111yescharacteristic
478C2×C3×C4C2×#4111yescharacteristic
479C2×C3×C4C2×#4111yescharacteristic
480#67—22no—
481#67—22no—
482C2×Dic3—21no—
483C2×Dic3—21no—
484C2×Dic3—21no—
485D12—21no—
486D12C4×D412yes—
487C4×D3—22no—
488C4×D3—22no—
489C4×D3—81no—
490C4×D3—81no—
491Dic6—21no—
492Dic6C4×D412yes—
493C3×C8—22no—
494C3×C8—22no—
495C3⋊C8—21no—
496C3⋊C8—21no—
497C3⋊C8—21no—
498C3⋊C8—21no—
499C3⋊C8—21no—
500C3⋊C8—21no—
501C3⋊C8—41no—
502C3⋊C8—41no—
503C3⋊C8#12112yes—
504C3⋊C8#12112yes—
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510#41—21no—
511#41—21no—
512#41—21no—
513#41—32no—
514#41—32no—
515#41—61no—
516#41—61no—
517C2×Q8—31no—
518C2×Q8C2×C4×D311yescharacteristic
519C2×Q8C2×C4×D311yescharacteristic
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—31no—
525C2×D4—61no—
526C2×D4C2×C4×D311yescharacteristic
527C2×D4C2×C4×D311yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—61no—
533C22×C4—61no—
534C22×C4—61no—
535C22×C4#23711yescharacteristic
536C22×C4#23711yescharacteristic
537C22×C4C23×D311yescharacteristic
538Q16—62no—
539Q16—62no—
540SD16—62no—
541SD16—62no—
542SD16—62no—
543SD16—62no—
544D8—62no—
545D8—62no—
546M16—21no—
547M16—21no—
548M16—64no—
549M16—64no—
550M16—61no—
551M16—61no—
552M16—61no—
553M16—61no—
554M16—122no—
555M16—122no—
556M16D3×D412yes—
557M16#23712yes—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—32no—
561C2×C8—31no—
562C2×C8—31no—
563C2×C8—32no—
564C2×C8—31no—
565C2×C8—31no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—64no—
571C2×C8—64no—
572C2×C8—61no—
573C2×C8—61no—
574C2×C8—61no—
575C2×C8—61no—
576C2×C8—61no—
577C2×C8—61no—
578C2×C8—61no—
579C2×C8—61no—
580C2×C8—122no—
581C2×C8—122no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—42no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—61no—
601C42—61no—
602C42—61no—
603C42C2×C4×D311yescharacteristic
604C42C2×C4×D311yescharacteristic
605C42D3×D411yescharacteristic
606C42D3×D411yescharacteristic
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3C2×C4×D411yescharacteristic
616C22×C3#52911yescharacteristic
617C22×C3#53211yescharacteristic
618C2×D3—22no—
619C2×D3—41no—
620C2×D3—41no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—42no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—81no—
629C3×C4C2×C4×D411yescharacteristic
630C3×C4C4×#4111yescharacteristic
631C3×C4C2×#12111yescharacteristic
632C3×C4#52511yescharacteristic
633Dic3—22no—
634Dic3—41no—
635Dic3—41no—
636C23—21no—
637C23—21no—
638C23—61no—
639C23C2×#23711yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—21no—
643Q8—21no—
644Q8—32no—
645Q8—61no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—32no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—62no—
656D4—62no—
657D4—61no—
658D4—81no—
659D4—81no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—61no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—241no—
680C2×C4—241no—
681C2×C4#67⋊C411yescharacteristic
682C2×C4#67⋊C411yescharacteristic
683C2×C4#67⋊C411yescharacteristic
684C2×C4#67⋊C411yescharacteristic
685C2×C4C22×C4×D311yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4C2×#23711yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C8—22no—
692C8—22no—
693C8—32no—
694C8—32no—
695C8—61no—
696C8—61no—
697C8—61no—
698C8—61no—
699C8—61no—
700C8—61no—
701C8—121no—
702C8—121no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—81no—
706C2×C3—81no—
707C2×C3C4×#12111yescharacteristic
708C2×C3#295611yescharacteristic
709C2×C3#295711yescharacteristic
710D3—42no—
711C22—21no—
712C22—21no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—62no—
720C22—121no—
721C22—121no—
722C22C2×#67⋊C411yescharacteristic
723C22#568011yescharacteristic
724C22#571611yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—21no—
729C4—42no—
730C4—41no—
731C4—41no—
732C4—62no—
733C4—81no—
734C4—121no—
735C4—121no—
736C4C4×#23711yescharacteristic
737C4C4×D3×D411yescharacteristic
738C4D3×#12111yescharacteristic
739C4#560611yescharacteristic
740C3#2151911yescharacteristic, complemented, Sylow
741C2—21no—
742C2—21no—
743C2—81no—
744C2—81no—
745C2—122no—
746C2#7629111yescharacteristic
747C2#7898011yescharacteristic
748C2#7899011yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1980C2
socleC22×C3C2×C4×D4
prime radical#83296C2
cosocleC22×C3×C4C24
hypercenter#1980D3
hypocenterC3#21519
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1980

Complements

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

NH ≅ G/Ntype
2. #83276C2semidirect
3. C2×#4823C2semidirect
4. C2×#4824C2semidirect
5. #78516C2semidirect
6. C3×#1980C2semidirect
7. #70390C2semidirect
8. #70390C2semidirect
9. #70370C2semidirect
10. #70369C2semidirect
11. #70367C2semidirect
12. #70367C2semidirect
13. #69875C2semidirect
14. #69494C2semidirect
15. #69478C2semidirect
39. #5090C4semidirect
40. #5083C4semidirect
41. #5075C4semidirect
42. #5072C4semidirect
43. #5057C4semidirect
44. #5057C4semidirect
45. #5054C4semidirect
46. #5054C4semidirect
75. #1980D3semidirect
134. #907D4semidirect
740. C3#21519semidirect

Maximal subgroups

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

subgroupindex
#832962
#832762
C2×#48232
C2×#48242
#785162
C3×#19802
#703902
#703702
#703692
#703672
#698752
#694942
#694782
#215193