Finite Group Databasebeta

← #6564551

Subgroups — #6564551

Order 512.

1977 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic
2C2×#3310C211yesmaximal, characteristic, complemented
3#39485C211yesmaximal, characteristic, complemented
4#34493C211yesmaximal, characteristic, complemented
5#29870C211yesmaximal, characteristic, complemented
6#29727C211yesmaximal, characteristic, complemented
7#29727C211yesmaximal, characteristic, complemented
8#28722C211yesmaximal, characteristic, complemented
9#28586C211yesmaximal, characteristic, complemented
10#28585C211yesmaximal, characteristic, complemented
11#28158C211yesmaximal, characteristic, complemented
12#27655C211yesmaximal, characteristic, complemented
13#27654C211yesmaximal, characteristic, complemented
14#25332C211yesmaximal, characteristic, complemented
15#25330C211yesmaximal, characteristic, complemented
16#25227C211yesmaximal, characteristic, complemented
17#25225C211yesmaximal, characteristic, complemented
18#25211C211yesmaximal, characteristic, complemented
19#25209C211yesmaximal, characteristic, complemented
20#24690C211yesmaximal, characteristic, complemented
21#24688C211yesmaximal, characteristic, complemented
22#24539C211yesmaximal, characteristic, complemented
23#24538C211yesmaximal, characteristic, complemented
24#24531C211yesmaximal, characteristic, complemented
25#24527C211yesmaximal, characteristic, complemented
26#23686C211yesmaximal, characteristic, complemented
27#23632C211yesmaximal, characteristic, complemented
28#23632C211yesmaximal, characteristic, complemented
29#22702C211yesmaximal, characteristic, complemented
30#22498C211yesmaximal, characteristic, complemented
31#22496C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#552C2211yescharacteristic
34C2×D42C2211yescharacteristic
35#3318—28no—
36#3310—28no—
37C2×#490C2211yescharacteristic
38C2×#490C2211yescharacteristic
39C2×#481C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#480C2211yescharacteristic
43C2×#478C2211yescharacteristic
44C2×#478C2211yescharacteristic
45C2×#469C2211yescharacteristic
46C2×#468C2211yescharacteristic
47C2×#466C2211yescharacteristic
48C2×#465C2211yescharacteristic
49C2×#460C2211yescharacteristic
50C2×#459C2211yescharacteristic
51C2×#450C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#442C2211yescharacteristic
56C2×#440C2211yescharacteristic
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×#418C2211yescharacteristic
60C2×#418C2211yescharacteristic
61C22×#102C2211yescharacteristic
62C22×#102C2211yescharacteristic
63#2859C2211yescharacteristic, complemented
64#2725—21no—
65#2725—21no—
66#2701—21no—
67#2701—21no—
68#2620C2211yescharacteristic, complemented
69#2620C2211yescharacteristic, complemented
70#2566C2211yescharacteristic, complemented
71#2565C2211yescharacteristic, complemented
72#2504C2211yescharacteristic, complemented
73#2503C2211yescharacteristic, complemented
74#2500C2211yescharacteristic, complemented
75#2499C2211yescharacteristic, complemented
76#2470—21no—
77#2470—21no—
78#2466—21no—
79#2466—21no—
80#2375—21no—
81#2375—21no—
82#2366C2211yescharacteristic
83#2363—21no—
84#2363C2211yescharacteristic
85#2363C2211yescharacteristic
86#2354C2211yescharacteristic
87#2354C2211yescharacteristic
88D4×C22⋊C4—21no—
89D4×C22⋊C4C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2324—21no—
92#2324C2211yescharacteristic
93#2324C2211yescharacteristic
94#2321—21no—
95#2321—21no—
96#2317C2211yescharacteristic, complemented
97#2317C2211yescharacteristic, complemented
98#2309—21no—
99#2309C2211yescharacteristic
100#2309C2211yescharacteristic
101C4×#127C2211yescharacteristic
102C4×#124C2211yescharacteristic, complemented
103#2293C2211yescharacteristic
104#2293C2211yescharacteristic
105#2085C2211yescharacteristic, complemented
106#2085C2211yescharacteristic, complemented
107#2085C2211yescharacteristic, complemented
108#2084C2211yescharacteristic, complemented
109#2083C2211yescharacteristic, complemented
110#2073C2211yescharacteristic
111#2073C2211yescharacteristic
112#2073C2211yescharacteristic
113#2073C2211yescharacteristic
114#2073C2211yescharacteristic
115#2073C2211yescharacteristic, complemented
116#2073C2211yescharacteristic, complemented
117#2073C2211yescharacteristic, complemented
118#2073C2211yescharacteristic, complemented
119#2071C2211yescharacteristic
120#2071C2211yescharacteristic
121#2071C2211yescharacteristic
122#2071C2211yescharacteristic
123#2071C2211yescharacteristic, complemented
124#2071C2211yescharacteristic, complemented
125#2071C2211yescharacteristic, complemented
126#2071C2211yescharacteristic, complemented
127#2071C2211yescharacteristic, complemented
128#2071C2211yescharacteristic, complemented
129#2067C2211yescharacteristic, complemented
130#2066C2211yescharacteristic, complemented
131#2055C2211yescharacteristic
132#2055C2211yescharacteristic
133#2055C2211yescharacteristic
134#2055C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2054C2211yescharacteristic
137#2054C2211yescharacteristic
138#2054C2211yescharacteristic
139#2054C2211yescharacteristic, complemented
140#2054C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#1992C2211yescharacteristic, complemented
146#1992C2211yescharacteristic, complemented
147#1989C2211yescharacteristic, complemented
148#1989C2211yescharacteristic, complemented
149#1949C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1948C2211yescharacteristic, complemented
152#1947C2211yescharacteristic, complemented
153#1940C2211yescharacteristic, complemented
154#1940C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1927C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1894C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1892C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1877C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1873C2211yescharacteristic, complemented
174#1873C2211yescharacteristic, complemented
175#1851C2211yescharacteristic, complemented
176#1851C2211yescharacteristic, complemented
177#1850C2211yescharacteristic, complemented
178#1850C2211yescharacteristic, complemented
179#1831C2211yescharacteristic, complemented
180#1825C2211yescharacteristic, complemented
181#1825C2211yescharacteristic, complemented
182#1824C2211yescharacteristic, complemented
183#1823C2211yescharacteristic, complemented
184#1804C2211yescharacteristic, complemented
185#1804C2211yescharacteristic, complemented
186#1804C2211yescharacteristic, complemented
187#1804C2211yescharacteristic, complemented
188#1804C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1803C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1798C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1767C2211yescharacteristic, complemented
197#1763C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1736C2211yescharacteristic, complemented
200#1736C2211yescharacteristic, complemented
201#1735C2211yescharacteristic, complemented
202#1735C2211yescharacteristic, complemented
203#1729C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#553—24no—
219#553—24no—
220#552—24no—
221#552—24no—
222D42—24no—
223D42D418yes—
224C2×#127C2311yescharacteristic
225C2×#126—21no—
226C2×#126—21no—
227C2×#125—21no—
228C2×#125C2311yescharacteristic
229C2×#125C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#123—21no—
232C2×#123—21no—
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×#121—21no—
236C2×#121—21no—
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#120—21no—
242C2×#120—21no—
243C2×C4×Q8C2311yescharacteristic
244C2×C4×D4—21no—
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×#117—21no—
256C2×#117—21no—
257C2×#117—21no—
258C2×#117C2311yescharacteristic
259C2×#117C2311yescharacteristic
260C2×#117C2311yescharacteristic
261C2×#117C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C22⋊C4—21no—
267C22×C22⋊C4—21no—
268#490—24no—
269#490—24no—
270#482—24no—
271#482—24no—
272#481—24no—
273#480—24no—
274#478—24no—
275#478—24no—
276#469—24no—
277#468—24no—
278#466—24no—
279#465—24no—
280#460—24no—
281#459—24no—
282#450—24no—
283#450—24no—
284#447—24no—
285#447—24no—
286#442—24no—
287#440—24no—
288#435—24no—
289#435—24no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304#418—24no—
305#418—24no—
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#102—24no—
312C2×#102—24no—
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342#400—21no—
343#400—21no—
344#398—21no—
345#398—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#397—21no—
350#396—21no—
351#396—21no—
352#396—21no—
353#396—21no—
354#396—21no—
355#396—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#391C2311yescharacteristic
363#391C2311yescharacteristic
364#391C2311yescharacteristic
365#390—21no—
366#390—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390D411yescharacteristic
378#390D411yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#389—21no—
391#389—21no—
392#389—21no—
393#389—21no—
394#389—21no—
395#389—21no—
396#389—21no—
397#389—21no—
398#389D411yescharacteristic
399#389D411yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388D411yescharacteristic
417#388D411yescharacteristic
418#388D411yescharacteristic
419#388D411yescharacteristic
420#387—21no—
421#387—21no—
422#387—21no—
423#387—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#384C2311yescharacteristic
445#384C2311yescharacteristic
446#384C2311yescharacteristic
447#384C2311yescharacteristic
448#384C2311yescharacteristic
449#382C2311yescharacteristic
450#382C2311yescharacteristic
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#382C2311yescharacteristic
454#381—21no—
455#381—21no—
456#380—21no—
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#379—21no—
460#379—21no—
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465C4×C4⋊C4—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C43C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512C25—21no—
513C25—21no—
514C22×Q8C2411yescharacteristic
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—28no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—82no—
535C22×D4—82no—
536C22×D4C2×D414yes—
537C22×D4C2×D414yes—
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C2×SD16—22no—
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—41no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×M16—22no—
572C2×M16—22no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C22×C8—22no—
578C22×C8—22no—
579C22×C8—41no—
580C22×C8—41no—
581C22×C8—41no—
582C22×C8—41no—
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591#127—22no—
592#127C2×D414yes—
593#126—44no—
594#126—44no—
595#125—22no—
596#125—22no—
597#125—22no—
598#125—22no—
599#125—44no—
600#124—41no—
601#124—41no—
602#123—44no—
603#123—44no—
604C22⋊Q8—22no—
605C22⋊Q8—22no—
606C22⋊Q8—22no—
607C22⋊Q8—22no—
608#121—22no—
609#121—22no—
610#121—28no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—44no—
616#121C2×D414yes—
617#121C2×D414yes—
618#120—28no—
619#120—28no—
620C4×Q8—22no—
621C4×Q8—22no—
622C4×D4—22no—
623C4×D4—22no—
624C4×D4—22no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—44no—
634C4×D4—82no—
635C4×D4—82no—
636C4×D4—82no—
637C4×D4C2×D414yes—
638C4×D4C2×D414yes—
639C4×D4#4114yes—
640#117—22no—
641#117—22no—
642#117—22no—
643#117—22no—
644#117—41no—
645#117—41no—
646#117—41no—
647#117—41no—
648#117—44no—
649#117—41no—
650#117—41no—
651#117—41no—
652#117—41no—
653#117—82no—
654#117—82no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—82no—
741C2×C22⋊C4—82no—
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42C2×D411yescharacteristic
761C2×C42C2×D411yescharacteristic
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769#107—22no—
770#107—22no—
771#107—22no—
772#106—22no—
773#106—22no—
774#106—22no—
775C4⋊C8—22no—
776C4⋊C8—22no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782C4⋊C8—41no—
783#103—22no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—22no—
815#97—22no—
816#97—22no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846C24—21no—
847C24—21no—
848C24—21no—
849C24—24no—
850C24—24no—
851C24—21no—
852C24—81no—
853C24—81no—
854C24—81no—
855C24—81no—
856C24—81no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24C22×D411yescharacteristic
865C24C22×D411yescharacteristic
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×D4—24no—
873C2×D4—24no—
874C2×D4—24no—
875C2×D4—24no—
876C2×D4—24no—
877C2×D4—24no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—44no—
900C2×D4—44no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—41no—
904C2×D4—41no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—42no—
908C2×D4—42no—
909C2×D4—82no—
910C2×D4—82no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—816no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4#12114yes—
929C2×D4C22×D412yes—
930C2×D4C22×D412yes—
931C2×D4C22×D412yes—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—24no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—42no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—81no—
961C22×C4—81no—
962C22×C4—81no—
963C22×C4—81no—
964C22×C4—81no—
965C22×C4—81no—
966C22×C4—81no—
967C22×C4—81no—
968C22×C4—81no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4C22×D411yescharacteristic
977C22×C4C22×D411yescharacteristic
978C22×C4C22×D411yescharacteristic
979C22×C4C22×D411yescharacteristic
980C22×C4C22×D411yescharacteristic
981C22×C4C22×D411yescharacteristic
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4C22×D412yes—
989C22×C4C22×D412yes—
990C22×C4C2×#4112yes—
991C22×C4C2×#4112yes—
992C22×C4C2511yescharacteristic
993SD16—44no—
994SD16—82no—
995SD16—82no—
996D8—44no—
997D8—82no—
998D8—82no—
999M16—82no—
1000M16—82no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—82no—
1026C2×C8—82no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—41no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—42no—
1058C4⋊C4—42no—
1059C4⋊C4—42no—
1060C4⋊C4—42no—
1061C4⋊C4—42no—
1062C4⋊C4—42no—
1063C4⋊C4—42no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4—81no—
1069C4⋊C4—81no—
1070C4⋊C4—81no—
1071C4⋊C4—81no—
1072C4⋊C4—81no—
1073C4⋊C4—81no—
1074C4⋊C4—81no—
1075C4⋊C4#12114yes—
1076C4⋊C4C22×D412yes—
1077C22⋊C4—24no—
1078C22⋊C4—24no—
1079C22⋊C4—24no—
1080C22⋊C4—41no—
1081C22⋊C4—41no—
1082C22⋊C4—41no—
1083C22⋊C4—41no—
1084C22⋊C4—41no—
1085C22⋊C4—41no—
1086C22⋊C4—41no—
1087C22⋊C4—41no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—42no—
1091C22⋊C4—42no—
1092C22⋊C4—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—81no—
1099C22⋊C4—81no—
1100C22⋊C4—81no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4#12114yes—
1128C22⋊C4#12114yes—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—21no—
1135C42—21no—
1136C42—21no—
1137C42—41no—
1138C42—41no—
1139C42—41no—
1140C42—41no—
1141C42—42no—
1142C42—42no—
1143C42—42no—
1144C42—42no—
1145C42—81no—
1146C42—81no—
1147C42—81no—
1148C42—81no—
1149C42C22×D412yes—
1150C42C2×#4112yes—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—84no—
1192C23—84no—
1193C23—84no—
1194C23—84no—
1195C23—84no—
1196C23—84no—
1197C23—162no—
1198C23—162no—
1199C23—162no—
1200C23—162no—
1201C23—162no—
1202C23—162no—
1203C23—162no—
1204C23—162no—
1205C23C2×#12112yes—
1206C23C2×#12112yes—
1207C23C23×D411yescharacteristic
1208Q8—41no—
1209Q8—41no—
1210Q8—41no—
1211Q8—41no—
1212D4—22no—
1213D4—22no—
1214D4—22no—
1215D4—22no—
1216D4—22no—
1217D4—22no—
1218D4—44no—
1219D4—48no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—41no—
1228D4—41no—
1229D4—41no—
1230D4—84no—
1231D4—84no—
1232D4—84no—
1233D4—84no—
1234D4—84no—
1235D4—84no—
1236D4—162no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—21no—
1254C2×C4—21no—
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—22no—
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—48no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—84no—
1315C2×C4—162no—
1316C2×C4—162no—
1317C2×C4—162no—
1318C2×C4—162no—
1319C2×C4—162no—
1320C2×C4—162no—
1321C2×C4C2×#12112yes—
1322C2×C4C2×#12112yes—
1323C2×C4C2×#12112yes—
1324C2×C4C2×#12112yes—
1325C2×C4C23×D411yescharacteristic
1326C2×C4C22×#4111yescharacteristic
1327C2×C4#58511yescharacteristic
1328C2×C4#58511yescharacteristic
1329C2×C4#58511yescharacteristic
1330C2×C4#58511yescharacteristic
1331C8—41no—
1332C8—41no—
1333C8—41no—
1334C8—41no—
1335C8—41no—
1336C8—41no—
1337C8—41no—
1338C8—41no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—42no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—81no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—168no—
1382C22—168no—
1383C22C22×#12111yescharacteristic
1384C22#348511yescharacteristic
1385C22#350011yescharacteristic
1386C22#358411yescharacteristic
1387C22#358511yescharacteristic
1388C22#358511yescharacteristic
1389C22#358511yescharacteristic
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—42no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—81no—
1404C4—81no—
1405C4—81no—
1406C4—81no—
1407C4—81no—
1408C4—81no—
1409C4—81no—
1410C4—81no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4#348511yescharacteristic
1415C4#348511yescharacteristic
1416C4#352111yescharacteristic
1417C4#352111yescharacteristic
1418C2—42no—
1419C2—42no—
1420C2—82no—
1421C2—82no—
1422C2—82no—
1423C2—161no—
1424C2#3600911yescharacteristic
1425C2#6042311yescharacteristic
1426C2#6043011yescharacteristic
1427C2#6179711yescharacteristic
1428C2#6181311yescharacteristic
1429C2#6256411yescharacteristic
1430C2#6260711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3318C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2293 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3310C2semidirect
3. #39485C2semidirect
4. #34493C2semidirect
5. #29870C2semidirect
6. #29727C2semidirect
7. #29727C2semidirect
8. #28722C2semidirect
9. #28586C2semidirect
10. #28585C2semidirect
11. #28158C2semidirect
12. #27655C2semidirect
13. #27654C2semidirect
14. #25332C2semidirect
15. #25330C2semidirect
16. #25227C2semidirect
17. #25225C2semidirect
18. #25211C2semidirect
19. #25209C2semidirect
20. #24690C2semidirect
21. #24688C2semidirect
22. #24539C2semidirect
23. #24538C2semidirect
24. #24531C2semidirect
25. #24527C2semidirect
26. #23686C2semidirect
27. #23632C2semidirect
28. #23632C2semidirect
29. #22702C2semidirect
30. #22498C2semidirect
31. #22496C2semidirect
63. #2859C22semidirect
68. #2620C22semidirect
69. #2620C22semidirect
70. #2566C22semidirect
71. #2565C22semidirect
72. #2504C22semidirect
73. #2503C22semidirect
74. #2500C22semidirect
75. #2499C22semidirect
96. #2317C22semidirect
97. #2317C22semidirect
102. C4×#124C22semidirect
105. #2085C22semidirect
106. #2085C22semidirect
107. #2085C22semidirect
108. #2084C22semidirect
109. #2083C22semidirect
115. #2073C22semidirect
116. #2073C22semidirect
117. #2073C22semidirect
118. #2073C22semidirect
123. #2071C22semidirect
124. #2071C22semidirect
125. #2071C22semidirect
126. #2071C22semidirect
127. #2071C22semidirect
128. #2071C22semidirect
129. #2067C22semidirect
130. #2066C22semidirect
134. #2055C22semidirect
135. #2055C22semidirect
139. #2054C22semidirect
140. #2054C22semidirect
141. #2042C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #1992C22semidirect
146. #1992C22semidirect
147. #1989C22semidirect
148. #1989C22semidirect
149. #1949C22semidirect
150. #1949C22semidirect
151. #1948C22semidirect
152. #1947C22semidirect
153. #1940C22semidirect
154. #1940C22semidirect
155. #1928C22semidirect
156. #1927C22semidirect
157. #1926C22semidirect
158. #1925C22semidirect
159. #1895C22semidirect
160. #1894C22semidirect
161. #1893C22semidirect
162. #1892C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1877C22semidirect
170. #1877C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
173. #1873C22semidirect
174. #1873C22semidirect
175. #1851C22semidirect
176. #1851C22semidirect
177. #1850C22semidirect
178. #1850C22semidirect
179. #1831C22semidirect
180. #1825C22semidirect
181. #1825C22semidirect
182. #1824C22semidirect
183. #1823C22semidirect
184. #1804C22semidirect
185. #1804C22semidirect
186. #1804C22semidirect
187. #1804C22semidirect
188. #1804C22semidirect
189. #1804C22semidirect
190. #1803C22semidirect
191. #1802C22semidirect
192. #1802C22semidirect
193. #1802C22semidirect
194. #1798C22semidirect
195. #1798C22semidirect
196. #1767C22semidirect
197. #1763C22semidirect
198. #1762C22semidirect
199. #1736C22semidirect
200. #1736C22semidirect
201. #1735C22semidirect
202. #1735C22semidirect
203. #1729C22semidirect
204. #1729C22semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#33102
#394852
#344932
#298702
#297272
#287222
#285862
#285852
#281582
#276552
#276542
#253322
#253302
#252272
#252252
#252112
#252092
#246902
#246882
#245392
#245382
#245312
#245272
#236862
#236322
#227022
#224982
#224962