Finite Group Databasebeta

← #11042829

Subgroups — #11042829

Order 768.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5650C211yesmaximal, characteristic
2C2×#5622C211yesmaximal, characteristic, complemented
3C3×#2488C211yesmaximal, characteristic
4#82857C211yesmaximal, characteristic
5#82781C211yesmaximal, characteristic, complemented
6#78246C211yesmaximal, characteristic, complemented
7#78243C211yesmaximal, characteristic, complemented
8#78211C211yesmaximal, characteristic, complemented
9#78191C211yesmaximal, characteristic, complemented
10#77572C211yesmaximal, characteristic, complemented
11#77544C211yesmaximal, characteristic, complemented
12#76831C211yesmaximal, characteristic, complemented
13#76805C211yesmaximal, characteristic, complemented
14#76568C211yesmaximal, characteristic, complemented
15#76541C211yesmaximal, characteristic, complemented
16#75699C211yesmaximal, characteristic, complemented
17#75667C211yesmaximal, characteristic, complemented
18#75648C211yesmaximal, characteristic, complemented
19#75459C211yesmaximal, characteristic, complemented
20#74871C211yesmaximal, characteristic
21#74741C211yesmaximal, characteristic
22#74711C211yesmaximal, characteristic
23#74710C211yesmaximal, characteristic
24#74199C211yesmaximal, characteristic, complemented
25#74152C211yesmaximal, characteristic, complemented
26#74073C211yesmaximal, characteristic, complemented
27#74067C211yesmaximal, characteristic, complemented
28#73493C211yesmaximal, characteristic, complemented
29#73455C211yesmaximal, characteristic, complemented
30#73350C211yesmaximal, characteristic, complemented
31C2×#4654C211yesmaximal, characteristic, complemented
32#38371—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×Q8×Dic3C2211yescharacteristic
36C2×#944C2211yescharacteristic
37C2×#935C2211yescharacteristic
38C2×D4×Dic3C2211yescharacteristic
39C2×#926C2211yescharacteristic
40C22×C4⋊Dic3C2211yescharacteristic
41C2×#924C2211yescharacteristic
42C22×Dic3⋊C4C2211yescharacteristic
43C22×C4×Dic3C2211yescharacteristic
44#5650—28no—
45#5622—28no—
46C2×#890C2211yescharacteristic
47C2×#889C2211yescharacteristic
48C2×#889C2211yescharacteristic
49C2×#889C2211yescharacteristic
50C2×#889C2211yescharacteristic
51C2×#888C2211yescharacteristic
52C2×#887C2211yescharacteristic
53C2×#887C2211yescharacteristic
54C2×#887C2211yescharacteristic
55C2×#887C2211yescharacteristic
56C2×#879C2211yescharacteristic
57C2×#879C2211yescharacteristic
58C2×#878C2211yescharacteristic
59C2×#878C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#877C2211yescharacteristic
64C2×#877C2211yescharacteristic
65C2×#877C2211yescharacteristic
66C2×#869C2211yescharacteristic
67C3×#400C2211yescharacteristic
68C3×#400C2211yescharacteristic
69C3×#397C2211yescharacteristic
70C3×#393C2211yescharacteristic
71C3×#391C2211yescharacteristic
72C3×#388C2211yescharacteristic
73C3×#388C2211yescharacteristic
74C3×#386C2211yescharacteristic
75C3×#386C2211yescharacteristic
76C3×#382C2211yescharacteristic
77C3×#381C2211yescharacteristic
78C3×C4×C22⋊C4C2211yescharacteristic
79C2×C3×#95C2211yescharacteristic
80#5230C2211yescharacteristic
81#5229C2211yescharacteristic
82#5220C2211yescharacteristic
83#5220C2211yescharacteristic
84#5212C2211yescharacteristic
85#5211C2211yescharacteristic
86#5210C2211yescharacteristic
87#5210C2211yescharacteristic
88C2×C3⋊#95C2211yescharacteristic
89C2×C3⋊#95C2211yescharacteristic
90C2×C3⋊#95C2211yescharacteristic
91#4985C2211yescharacteristic
92#4985C2211yescharacteristic
93#4983C2211yescharacteristic
94#4981C2211yescharacteristic
95#4979C2211yescharacteristic
96#4977C2211yescharacteristic
97#4976C2211yescharacteristic
98#4976C2211yescharacteristic
99#4973C2211yescharacteristic
100#4973C2211yescharacteristic
101#4953C2211yescharacteristic
102#4952C2211yescharacteristic
103#4951C2211yescharacteristic
104#4951C2211yescharacteristic
105#4951C2211yescharacteristic
106#4950C2211yescharacteristic
107#4950C2211yescharacteristic
108#4950C2211yescharacteristic
109#4950C2211yescharacteristic
110#4949C2211yescharacteristic
111#4949C2211yescharacteristic
112#4948C2211yescharacteristic
113#4948C2211yescharacteristic
114#4947C2211yescharacteristic
115#4947C2211yescharacteristic
116#4946C2211yescharacteristic
117#4946C2211yescharacteristic
118#4945C2211yescharacteristic
119#4945C2211yescharacteristic
120#4945C2211yescharacteristic
121#4945C2211yescharacteristic
122#4945C2211yescharacteristic
123#4943C2211yescharacteristic
124#4942C2211yescharacteristic
125#4942C2211yescharacteristic
126Dic3×C22⋊C4C2211yescharacteristic
127#4935C2211yescharacteristic
128#4933C2211yescharacteristic
129#4933C2211yescharacteristic
130#4932C2211yescharacteristic
131C4×Dic3⋊C4C2211yescharacteristic
132#4928C2211yescharacteristic
133#4928C2211yescharacteristic
134#4661C2211yescharacteristic
135#4661C2211yescharacteristic
136#4661C2211yescharacteristic
137#4661C2211yescharacteristic
138#4661C2211yescharacteristic
139#4661C2211yescharacteristic
140#4660C2211yescharacteristic
141#4660C2211yescharacteristic
142#4660C2211yescharacteristic
143#4658C2211yescharacteristic
144#4658C2211yescharacteristic
145#4658C2211yescharacteristic
146#4657C2211yescharacteristic
147#4657C2211yescharacteristic
148#4657C2211yescharacteristic
149#4657C2211yescharacteristic
150#4657C2211yescharacteristic
151#4656C2211yescharacteristic
152#4656C2211yescharacteristic
153#4656C2211yescharacteristic
154#4656C2211yescharacteristic
155#4656C2211yescharacteristic
156#4655C2211yescharacteristic
157#4655C2211yescharacteristic
158#4654C2211yescharacteristic
159#4654C2211yescharacteristic
160#4654C2211yescharacteristic
161#4654C2211yescharacteristic
162#4654C2211yescharacteristic
163#4654C2211yescharacteristic
164#4654C2211yescharacteristic
165#4654C2211yescharacteristic
166#4654C2211yescharacteristic
167#4654C2211yescharacteristic
168#4654C2211yescharacteristic
169#4654C2211yescharacteristic
170#4654C2211yescharacteristic
171#4654C2211yescharacteristic
172#4654C2211yescharacteristic
173#4654C2211yescharacteristic
174#4654C2211yescharacteristic
175#4652C2211yescharacteristic
176#4652C2211yescharacteristic
177#4652C2211yescharacteristic
178#4652C2211yescharacteristic
179#4652C2211yescharacteristic
180#4652C2211yescharacteristic
181#4652C2211yescharacteristic
182#4651C2211yescharacteristic
183#4650C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#552—31no—
191C2×#533—31no—
192#2853—31no—
193#2721—31no—
194#2719—31no—
195#2719—31no—
196#2716—31no—
197#2713—31no—
198#2713—31no—
199#2690—31no—
200#2677—31no—
201#2637—31no—
202#2634—31no—
203#2604—31no—
204#2599—31no—
205#2581—31no—
206#2565—31no—
207#2549—31no—
208#2498—31no—
209#2488—31no—
210#2488D311yescharacteristic
211#2484—31no—
212#2450—31no—
213#2449—31no—
214#2440—31no—
215#2438—31no—
216#2438—31no—
217#2343—31no—
218#2327—31no—
219#2323—31no—
220C2×#387—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C22×Dic6C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
234C22×Dic6C2311yescharacteristic
235C3×#123—24no—
236C3×C22⋊Q8—24no—
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264Q8×Dic3—24no—
265#944—24no—
266#935—24no—
267D4×Dic3—24no—
268#926—24no—
269C2×C4⋊Dic3—24no—
270C2×C4⋊Dic3C2311yescharacteristic
271C2×C4⋊Dic3C2311yescharacteristic
272C2×C4⋊Dic3C2311yescharacteristic
273C2×C4⋊Dic3C2311yescharacteristic
274C2×C4⋊Dic3C2311yescharacteristic
275C2×C4⋊Dic3C2311yescharacteristic
276C2×C4⋊Dic3C2311yescharacteristic
277C2×C4⋊Dic3C2311yescharacteristic
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×C4⋊Dic3C2311yescharacteristic
285C2×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287#924—24no—
288C2×Dic3⋊C4—24no—
289C2×Dic3⋊C4C2311yescharacteristic
290C2×Dic3⋊C4C2311yescharacteristic
291C2×Dic3⋊C4C2311yescharacteristic
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×C4×Dic3—24no—
318C2×C4×Dic3C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331#890—24no—
332#889—24no—
333#889—24no—
334#889—24no—
335#889—24no—
336#888—24no—
337#887—24no—
338#887—24no—
339#887—24no—
340#887—24no—
341#879—24no—
342#879—24no—
343#878—24no—
344#878—24no—
345#878—24no—
346#878—24no—
347#878—24no—
348#877—24no—
349#877—24no—
350#877D418yes—
351#869—24no—
352C3×#95C2311yescharacteristic
353C3×#95C2311yescharacteristic
354C3×#95C2311yescharacteristic
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408#552—68no—
409#533—68no—
410C2×C4⋊Q8—31no—
411C2×C4⋊Q8—31no—
412C2×C4⋊Q8—31no—
413C2×#126—31no—
414C2×#126—31no—
415C2×#125—31no—
416C2×#125—31no—
417C2×#125—31no—
418C2×#125—31no—
419C2×#125—31no—
420C2×#123—31no—
421C2×#123C2×D311yescharacteristic
422C2×C22⋊Q8—31no—
423C2×C22⋊Q8—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8C2×D311yescharacteristic
429C2×C4×Q8—31no—
430C2×C4×Q8—31no—
431C2×C4×Q8—31no—
432C2×C4×Q8—31no—
433C2×C4×Q8—31no—
434C2×C4×D4—31no—
435C2×#117—31no—
436C2×#117—31no—
437C2×#117—31no—
438C2×#117—31no—
439C22×C4⋊C4—31no—
440C22×C4⋊C4—31no—
441C22×C42—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400—31no—
447#400—31no—
448#400—31no—
449#400—31no—
450#400C2×D311yescharacteristic
451#400C2×D311yescharacteristic
452#399—31no—
453#399—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#397—31no—
468#397—31no—
469#397C2×D311yescharacteristic
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#395—31no—
476#395—31no—
477#395—31no—
478#395—31no—
479#393—31no—
480#393—31no—
481#393C2×D311yescharacteristic
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#391—31no—
487#391—31no—
488#391C2×D311yescharacteristic
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388C2×D311yescharacteristic
505#388C2×D311yescharacteristic
506#387—31no—
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386C2×D311yescharacteristic
537#386C2×D311yescharacteristic
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#384—31no—
547#383—31no—
548#382—31no—
549#382—31no—
550#382C2×D311yescharacteristic
551#381—31no—
552#381—31no—
553#381C2×D311yescharacteristic
554#380—31no—
555#380—31no—
556#380—31no—
557C4×C4⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4C2×D311yescharacteristic
560#376—31no—
561C2×#95—31no—
562C2×#95—31no—
563C2×#95—31no—
564C2×#95C2×D311yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C2×C3×Q8—22no—
568C2×C3×Q8—22no—
569C2×C3×Q8—41no—
570C2×C3×D4—22no—
571C2×C3×D4—22no—
572C2×C3×D4—22no—
573C22×C3×C4—22no—
574C22×C3×C4—22no—
575C22×C3×C4—22no—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—22no—
579C22×C3×C4—22no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×Dic3—22no—
596C22×Dic3—22no—
597C22×Dic3—22no—
598C22×Dic3—22no—
599C22×Dic3—22no—
600C22×Dic3—22no—
601C22×Dic3—22no—
602C22×Dic3—22no—
603C22×Dic3—22no—
604C22×Dic3—41no—
605C22×Dic3—41no—
606C22×Dic3—41no—
607C22×Dic3—41no—
608C22×Dic3—41no—
609C22×Dic3C2×D414yes—
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C2×Dic6—22no—
627C2×Dic6—22no—
628C2×Dic6—22no—
629C2×Dic6—22no—
630C2×Dic6—22no—
631C2×Dic6—22no—
632C2×Dic6—22no—
633C2×Dic6—22no—
634C2×Dic6—41no—
635C2×Dic6—41no—
636C2×Dic6—41no—
637C2×Dic6—41no—
638C3×C4⋊C4—22no—
639C3×C4⋊C4—22no—
640C3×C4⋊C4—22no—
641C3×C4⋊C4—22no—
642C3×C4⋊C4—22no—
643C3×C22⋊C4—22no—
644C3×C22⋊C4—22no—
645C3×C22⋊C4—22no—
646C3×C22⋊C4—22no—
647C3×C22⋊C4—22no—
648C3×C22⋊C4—22no—
649C3×C22⋊C4—41no—
650C3×C22⋊C4—41no—
651C3×C22⋊C4C2×D414yes—
652C3×C42—22no—
653C3×C42—41no—
654#217—22no—
655#217—22no—
656#217—22no—
657#217—22no—
658#217—22no—
659#217—22no—
660#217—22no—
661#217—41no—
662#217—41no—
663#217—41no—
664#217C2×D414yes—
665C4⋊Dic3—22no—
666C4⋊Dic3—22no—
667C4⋊Dic3—22no—
668C4⋊Dic3—22no—
669C4⋊Dic3—22no—
670C4⋊Dic3—22no—
671C4⋊Dic3—22no—
672C4⋊Dic3—22no—
673C4⋊Dic3—22no—
674C4⋊Dic3—22no—
675C4⋊Dic3—22no—
676C4⋊Dic3—22no—
677C4⋊Dic3—22no—
678C4⋊Dic3—41no—
679C4⋊Dic3—41no—
680C4⋊Dic3—41no—
681C4⋊Dic3#4114yes—
682Dic3⋊C4—22no—
683Dic3⋊C4—22no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
688Dic3⋊C4—22no—
689Dic3⋊C4—22no—
690Dic3⋊C4—22no—
691Dic3⋊C4—22no—
692Dic3⋊C4—22no—
693Dic3⋊C4—22no—
694Dic3⋊C4—22no—
695Dic3⋊C4—22no—
696Dic3⋊C4—22no—
697Dic3⋊C4—22no—
698Dic3⋊C4—22no—
699Dic3⋊C4—22no—
700Dic3⋊C4—22no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703Dic3⋊C4—41no—
704Dic3⋊C4—41no—
705Dic3⋊C4—41no—
706Dic3⋊C4—41no—
707Dic3⋊C4—41no—
708Dic3⋊C4C2×D414yes—
709Dic3⋊C4C2×D414yes—
710C4×Dic3—22no—
711C4×Dic3—22no—
712C4×Dic3—22no—
713C4×Dic3—22no—
714C4×Dic3—22no—
715C4×Dic3—22no—
716C4×Dic3—22no—
717C4×Dic3—22no—
718C4×Dic3—22no—
719C4×Dic3—41no—
720C4×Dic3—41no—
721C4×Dic3C2×D414yes—
722C4×Dic3C2×D414yes—
723C22×Q8—31no—
724C22×Q8—31no—
725C22×Q8—31no—
726C22×Q8—31no—
727C22×Q8C22×D311yescharacteristic
728C22×D4C22×D311yescharacteristic
729C23×C4—31no—
730C23×C4—31no—
731C23×C4—31no—
732C23×C4—31no—
733C23×C4—31no—
734C23×C4C22×D311yescharacteristic
735C23×C4C22×D311yescharacteristic
736C23×C4C22×D311yescharacteristic
737C4⋊Q8—64no—
738C4⋊Q8—64no—
739C4⋊Q8—64no—
740#126—64no—
741#126—64no—
742#125—64no—
743#125—64no—
744#125—64no—
745#125—64no—
746#125—64no—
747#123—24no—
748#123—64no—
749C22⋊Q8—24no—
750C22⋊Q8—64no—
751C22⋊Q8—64no—
752C22⋊Q8—64no—
753C22⋊Q8—64no—
754C22⋊Q8—64no—
755C22⋊Q8—64no—
756C4×Q8—64no—
757C4×Q8—64no—
758C4×Q8—64no—
759C4×Q8—64no—
760C4×Q8—64no—
761C4×D4—64no—
762#117—38no—
763#117—64no—
764#117—64no—
765#117—64no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—31no—
770C2×C4⋊C4—31no—
771C2×C4⋊C4—31no—
772C2×C4⋊C4—31no—
773C2×C4⋊C4—31no—
774C2×C4⋊C4—31no—
775C2×C4⋊C4—31no—
776C2×C4⋊C4—31no—
777C2×C4⋊C4—31no—
778C2×C4⋊C4—31no—
779C2×C4⋊C4—31no—
780C2×C4⋊C4—31no—
781C2×C4⋊C4—31no—
782C2×C4⋊C4—31no—
783C2×C4⋊C4—31no—
784C2×C4⋊C4—31no—
785C2×C4⋊C4—31no—
786C2×C4⋊C4—31no—
787C2×C4⋊C4—31no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—64no—
812C2×C4⋊C4—64no—
813C2×C4⋊C4C22×D311yescharacteristic
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C22⋊C4—31no—
819C2×C22⋊C4—31no—
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4C22×D311yescharacteristic
830C2×C22⋊C4C22×D311yescharacteristic
831C2×C22⋊C4C22×D311yescharacteristic
832C2×C22⋊C4C22×D311yescharacteristic
833C2×C22⋊C4C22×D311yescharacteristic
834C2×C22⋊C4C22×D311yescharacteristic
835C2×C22⋊C4C22×D311yescharacteristic
836C2×C22⋊C4C22×D311yescharacteristic
837C2×C22⋊C4C22×D311yescharacteristic
838C2×C42—31no—
839C2×C42—31no—
840C2×C42—31no—
841C2×C42—31no—
842C2×C42—31no—
843C2×C42—31no—
844C2×C42—31no—
845C2×C42—31no—
846C2×C42—31no—
847C2×C42—31no—
848C2×C42—31no—
849C2×C42—31no—
850C2×C42—31no—
851C2×C42—64no—
852C2×C42C22×D311yescharacteristic
853C2×C42C22×D311yescharacteristic
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95—31no—
865#95—31no—
866#95—31no—
867#95—31no—
868#95—31no—
869#95—31no—
870#95—31no—
871#95—31no—
872#95—31no—
873#95—31no—
874#95—31no—
875#95—31no—
876#95—31no—
877#95—31no—
878#95—31no—
879#95—31no—
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95C22×D311yescharacteristic
897#95C22×D311yescharacteristic
898#95C22×D311yescharacteristic
899#95C22×D311yescharacteristic
900#95C22×D311yescharacteristic
901#95C22×D311yescharacteristic
902#95C22×D311yescharacteristic
903#95C22×D311yescharacteristic
904#95C22×D311yescharacteristic
905#95C22×D311yescharacteristic
906#95C22×D311yescharacteristic
907#95C22×D311yescharacteristic
908#95C22×D311yescharacteristic
909#95C22×D311yescharacteristic
910C23×C3—21no—
911C23×C3—21no—
912C23×C3—21no—
913C23×C3—21no—
914C23×C3—21no—
915C23×C3—21no—
916C23×C3—21no—
917C23×C3—21no—
918C23×C3—21no—
919C23×C3—21no—
920C23×C3—21no—
921C23×C3C22×D412yes—
922C23×C32−1+412yes—
923C23×C32−1+412yes—
924C23×C3C2511yescharacteristic
925C3×Q8—44no—
926C3×D4—44no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—21no—
934C2×C3×C4—21no—
935C2×C3×C4—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—21no—
950C2×C3×C4—21no—
951C2×C3×C4—21no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—44no—
963C2×C3×C4—44no—
964C2×C3×C4—44no—
965C2×C3×C4C22×D412yes—
966C2×C3×C4C22×D412yes—
967C2×C3×C4C2×#4112yes—
968C2×C3×C42−1+412yes—
969C2×Dic3—28no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3—21no—
1000C2×Dic3—21no—
1001C2×Dic3—21no—
1002C2×Dic3—21no—
1003C2×Dic3—21no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—44no—
1013C2×Dic3—44no—
1014C2×Dic3—44no—
1015C2×Dic3—82no—
1016C2×Dic3C22×D412yes—
1017C2×Dic3C22×D412yes—
1018C2×Dic3C22×D412yes—
1019C2×Dic3C22×D412yes—
1020C2×Dic3C2×#4112yes—
1021C2×Dic3C2×#4112yes—
1022Dic6—44no—
1023Dic6—44no—
1024Dic6—44no—
1025Dic6—44no—
1026C24C23×D311yescharacteristic
1027C24C23×D311yescharacteristic
1028C2×Q8—22no—
1029C2×Q8—22no—
1030C2×Q8—41no—
1031C2×Q8—62no—
1032C2×Q8—62no—
1033C2×Q8—62no—
1034C2×Q8—62no—
1035C2×Q8—62no—
1036C2×Q8—62no—
1037C2×Q8—62no—
1038C2×Q8—62no—
1039C2×Q8—121no—
1040C2×Q8—121no—
1041C2×Q8—121no—
1042C2×Q8—121no—
1043C2×D4—22no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—34no—
1054C22×C4—31no—
1055C22×C4—31no—
1056C22×C4—31no—
1057C22×C4—31no—
1058C22×C4—31no—
1059C22×C4—31no—
1060C22×C4—31no—
1061C22×C4—31no—
1062C22×C4—31no—
1063C22×C4—31no—
1064C22×C4—31no—
1065C22×C4—31no—
1066C22×C4—31no—
1067C22×C4—31no—
1068C22×C4—31no—
1069C22×C4—31no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—62no—
1073C22×C4—62no—
1074C22×C4—62no—
1075C22×C4—62no—
1076C22×C4—62no—
1077C22×C4—62no—
1078C22×C4—62no—
1079C22×C4—62no—
1080C22×C4—62no—
1081C22×C4—121no—
1082C22×C4—121no—
1083C22×C4—121no—
1084C22×C4—121no—
1085C22×C4—121no—
1086C22×C4C23×D311yescharacteristic
1087C22×C4C23×D311yescharacteristic
1088C22×C4C23×D311yescharacteristic
1089C22×C4C23×D311yescharacteristic
1090C22×C4C23×D311yescharacteristic
1091C22×C4C23×D311yescharacteristic
1092C22×C4C23×D311yescharacteristic
1093C22×C4C23×D311yescharacteristic
1094C22×C4C23×D311yescharacteristic
1095C22×C4C23×D311yescharacteristic
1096C22×C4C23×D311yescharacteristic
1097C22×C4C23×D311yescharacteristic
1098C22×C4C23×D311yescharacteristic
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—34no—
1105C4⋊C4—34no—
1106C4⋊C4—34no—
1107C4⋊C4—62no—
1108C4⋊C4—62no—
1109C4⋊C4—62no—
1110C4⋊C4—62no—
1111C4⋊C4—62no—
1112C4⋊C4—62no—
1113C4⋊C4—62no—
1114C4⋊C4—62no—
1115C4⋊C4—62no—
1116C4⋊C4—62no—
1117C4⋊C4—62no—
1118C4⋊C4—62no—
1119C4⋊C4—62no—
1120C4⋊C4—62no—
1121C4⋊C4—62no—
1122C4⋊C4—62no—
1123C4⋊C4—62no—
1124C4⋊C4—62no—
1125C4⋊C4—62no—
1126C4⋊C4—62no—
1127C4⋊C4—62no—
1128C4⋊C4—62no—
1129C4⋊C4—62no—
1130C4⋊C4—62no—
1131C4⋊C4—62no—
1132C4⋊C4—62no—
1133C4⋊C4—62no—
1134C4⋊C4—62no—
1135C4⋊C4—62no—
1136C4⋊C4—62no—
1137C4⋊C4—62no—
1138C4⋊C4—62no—
1139C4⋊C4—121no—
1140C4⋊C4—121no—
1141C4⋊C4—121no—
1142C4⋊C4—121no—
1143C4⋊C4—121no—
1144C4⋊C4—121no—
1145C4⋊C4—121no—
1146C4⋊C4—121no—
1147C4⋊C4—121no—
1148C4⋊C4—121no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—34no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—62no—
1159C22⋊C4—62no—
1160C22⋊C4—62no—
1161C22⋊C4—62no—
1162C22⋊C4—62no—
1163C22⋊C4—62no—
1164C22⋊C4—62no—
1165C22⋊C4—121no—
1166C22⋊C4—121no—
1167C22⋊C4—121no—
1168C22⋊C4D3×D414yes—
1169C42—22no—
1170C42—34no—
1171C42—34no—
1172C42—41no—
1173C42—62no—
1174C42—62no—
1175C42—62no—
1176C42—62no—
1177C42—62no—
1178C42—62no—
1179C42—62no—
1180C42—62no—
1181C42—62no—
1182C42—121no—
1183C42—121no—
1184C22×C3—22no—
1185C22×C3—22no—
1186C22×C3—22no—
1187C22×C3—22no—
1188C22×C3—22no—
1189C22×C3—22no—
1190C22×C3—41no—
1191C22×C3—41no—
1192C22×C3—41no—
1193C22×C3—41no—
1194C22×C3—41no—
1195C22×C3—41no—
1196C22×C3—41no—
1197C22×C3#53614yes—
1198C22×C3C23×D411yescharacteristic
1199C22×C3C22×#4111yescharacteristic
1200C22×C3C2×2−1+411yescharacteristic
1201C22×C3C2×2−1+411yescharacteristic
1202C22×C3C2×2−1+411yescharacteristic
1203C22×C3#58511yescharacteristic
1204C22×C3#58511yescharacteristic
1205C3×C4—22no—
1206C3×C4—22no—
1207C3×C4—22no—
1208C3×C4—22no—
1209C3×C4—41no—
1210C3×C4—41no—
1211C3×C4—41no—
1212C3×C4—41no—
1213C3×C4—41no—
1214C3×C4—41no—
1215C3×C4—41no—
1216C3×C4—41no—
1217C3×C4—41no—
1218Dic3—22no—
1219Dic3—22no—
1220Dic3—22no—
1221Dic3—22no—
1222Dic3—22no—
1223Dic3—22no—
1224Dic3—41no—
1225Dic3—41no—
1226Dic3—41no—
1227Dic3—41no—
1228Dic3—41no—
1229Dic3—41no—
1230Dic3—41no—
1231Dic3—41no—
1232Dic3—41no—
1233Dic3—41no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23C2×D3×D412yes—
1246C23#101012yes—
1247C23#101012yes—
1248C23C24×D311yescharacteristic
1249Q8—44no—
1250Q8—124no—
1251Q8—124no—
1252Q8—124no—
1253Q8—124no—
1254D4—44no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—32no—
1293C2×C4—32no—
1294C2×C4—32no—
1295C2×C4—32no—
1296C2×C4—44no—
1297C2×C4—44no—
1298C2×C4—44no—
1299C2×C4—68no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—124no—
1343C2×C4—124no—
1344C2×C4—124no—
1345C2×C4—242no—
1346C2×C4C2×D3×D412yes—
1347C2×C4C2×D3×D412yes—
1348C2×C4D3×#4112yes—
1349C2×C4#101012yes—
1350C2×C3—24no—
1351C2×C3—81no—
1352C2×C3C2×#53611yescharacteristic
1353C2×C3D4×#4111yescharacteristic
1354C2×C3#348911yescharacteristic
1355C2×C3#349511yescharacteristic
1356C2×C3#352311yescharacteristic
1357C2×C3#356311yescharacteristic
1358C2×C3#356411yescharacteristic
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22#567514yes—
1373C22C22×D3×D411yescharacteristic
1374C22C2×D3×#4111yescharacteristic
1375C22C2×#101011yescharacteristic
1376C22C2×#101011yescharacteristic
1377C22C2×#101011yescharacteristic
1378C22#596611yescharacteristic
1379C22#596811yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—62no—
1394C4—62no—
1395C4—62no—
1396C4—62no—
1397C4—62no—
1398C4—62no—
1399C4—121no—
1400C4—121no—
1401C4—121no—
1402C4—121no—
1403C4—121no—
1404C4—121no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C3#3837111yescharacteristic, complemented, Sylow
1410C2—24no—
1411C2—81no—
1412C2C2×#567511yescharacteristic
1413C2#8612911yescharacteristic
1414C2#8644611yescharacteristic
1415C2#8663011yescharacteristic
1416C2#8667411yescharacteristic
1417C2#8679311yescharacteristic
1418C2#8685211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2488C2
prime radicalC22×C3×D4C23
hypercenter#2488D3
hypocenterC3#38371
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×#5622C2semidirect
5. #82781C2semidirect
6. #78246C2semidirect
7. #78243C2semidirect
8. #78211C2semidirect
9. #78191C2semidirect
10. #77572C2semidirect
11. #77544C2semidirect
12. #76831C2semidirect
13. #76805C2semidirect
14. #76568C2semidirect
15. #76541C2semidirect
16. #75699C2semidirect
17. #75667C2semidirect
18. #75648C2semidirect
19. #75459C2semidirect
24. #74199C2semidirect
25. #74152C2semidirect
26. #74073C2semidirect
27. #74067C2semidirect
28. #73493C2semidirect
29. #73455C2semidirect
30. #73350C2semidirect
31. C2×#4654C2semidirect
1409. C3#38371semidirect

Maximal subgroups

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

subgroupindex
C2×#56502
C2×#56222
C3×#24882
#828572
#827812
#782462
#782432
#782112
#781912
#775722
#775442
#768312
#768052
#765682
#765412
#756992
#756672
#756482
#754592
#748712
#747412
#747112
#747102
#741992
#741522
#740732
#740672
#734932
#734552
#733502
C2×#46542
#383713