Finite Group Databasebeta

← #6653085

Subgroups — #6653085

Order 512.

1797 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37379C211yesmaximal, characteristic, complemented
2#35236C211yesmaximal, characteristic, complemented
3#32908C211yesmaximal, characteristic, complemented
4#32905C211yesmaximal, characteristic, complemented
5#32621C211yesmaximal, characteristic, complemented
6#32612C211yesmaximal, characteristic, complemented
7#32605C211yesmaximal, characteristic, complemented
8#32598C211yesmaximal, characteristic, complemented
9#32042C211yesmaximal, characteristic, complemented
10#32029C211yesmaximal, characteristic, complemented
11#31678C211yesmaximal, characteristic, complemented
12#31669C211yesmaximal, characteristic, complemented
13#31065C211yesmaximal, characteristic, complemented
14#31057C211yesmaximal, characteristic, complemented
15#30510C211yesmaximal, characteristic, complemented
16#30501C211yesmaximal, characteristic, complemented
17#30417C211yesmaximal, characteristic, complemented
18#30415C211yesmaximal, characteristic, complemented
19#30402C211yesmaximal, characteristic, complemented
20#30399C211yesmaximal, characteristic, complemented
21#29927C211yesmaximal, characteristic, complemented
22#29923C211yesmaximal, characteristic, complemented
23#27640C211yesmaximal, characteristic, complemented
24#27636C211yesmaximal, characteristic, complemented
25#24766C211yesmaximal, characteristic, complemented
26#24763C211yesmaximal, characteristic, complemented
27#24666C211yesmaximal, characteristic, complemented
28#24663C211yesmaximal, characteristic, complemented
29#24219C211yesmaximal, characteristic, complemented
30#24219C211yesmaximal, characteristic, complemented
31#21855C211yesmaximal, characteristic, complemented
32C2×#536C2211yescharacteristic, complemented
33C2×#529C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C2×#468C2211yescharacteristic
36C2×#468C2211yescharacteristic
37C2×#466C2211yescharacteristic
38C2×#465C2211yescharacteristic
39C2×#463C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#461C2211yescharacteristic
42C2×#461C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#448C2211yescharacteristic
46C2×#448C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#433C2211yescharacteristic, complemented
52C2×#424C2211yescharacteristic, complemented
53#2857C2211yescharacteristic
54#2850C2211yescharacteristic
55#2848—21no—
56#2847—21no—
57#2723—21no—
58#2720—21no—
59#2718—21no—
60#2710—21no—
61#2706—21no—
62#2703—21no—
63#2696—21no—
64#2692—21no—
65#2636—21no—
66#2636—21no—
67#2621C2211yescharacteristic, complemented
68#2620C2211yescharacteristic, complemented
69#2592C2211yescharacteristic, complemented
70#2568C2211yescharacteristic, complemented
71#2562—21no—
72#2542C2211yescharacteristic
73#2540—21no—
74#2540C2211yescharacteristic
75#2538C2211yescharacteristic
76#2538C2211yescharacteristic
77#2537C2211yescharacteristic
78#2537C2211yescharacteristic
79#2487C2211yescharacteristic
80#2487C2211yescharacteristic
81#2411—21no—
82#2411—21no—
83#2409C2211yescharacteristic
84#2409C2211yescharacteristic, complemented
85#2408C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88#2407C2211yescharacteristic, complemented
89#2324C2211yescharacteristic
90#2324C2211yescharacteristic
91#2324C2211yescharacteristic
92#2324C2211yescharacteristic
93#2314C2211yescharacteristic, complemented
94#2285C2211yescharacteristic
95#2096C2211yescharacteristic, complemented
96#2095C2211yescharacteristic, complemented
97#2095C2211yescharacteristic, complemented
98#2093C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2072C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2068C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2066C2211yescharacteristic, complemented
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2055C2211yescharacteristic
114#2054C2211yescharacteristic
115#2043C2211yescharacteristic, complemented
116#2043C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2036C2211yescharacteristic
120#2036C2211yescharacteristic
121#2036C2211yescharacteristic
122#2036C2211yescharacteristic
123#2036C2211yescharacteristic
124#2036C2211yescharacteristic
125#2036C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2013C2211yescharacteristic
136#2013C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#1999C2211yescharacteristic
143#1985C2211yescharacteristic, complemented
144#1984C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1983C2211yescharacteristic, complemented
147#1981C2211yescharacteristic, complemented
148#1981C2211yescharacteristic, complemented
149#1973C2211yescharacteristic
150#1973C2211yescharacteristic
151#1970C2211yescharacteristic
152#1968C2211yescharacteristic
153#1955C2211yescharacteristic
154#1954C2211yescharacteristic
155#1949C2211yescharacteristic, complemented
156#1949C2211yescharacteristic, complemented
157#1947C2211yescharacteristic, complemented
158#1947C2211yescharacteristic, complemented
159#1936C2211yescharacteristic, complemented
160#1935C2211yescharacteristic, complemented
161#1933C2211yescharacteristic, complemented
162#1933C2211yescharacteristic, complemented
163#1926C2211yescharacteristic
164#1925C2211yescharacteristic
165#1925C2211yescharacteristic
166#1925C2211yescharacteristic
167#1921C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1919C2211yescharacteristic, complemented
170#1918C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1894C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1892C2211yescharacteristic, complemented
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic
182#1877C2211yescharacteristic
183#1874C2211yescharacteristic
184#1872C2211yescharacteristic
185#1872C2211yescharacteristic
186#1872C2211yescharacteristic
187#1870C2211yescharacteristic
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic
190#1869C2211yescharacteristic, complemented
191#1804C2211yescharacteristic
192#1804C2211yescharacteristic
193#1802C2211yescharacteristic
194#1802C2211yescharacteristic
195#1798C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1797C2211yescharacteristic
198#1797C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4—21no—
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#536—42no—
218#536—42no—
219C2×C4⋊Q8C2311yescharacteristic
220C2×C4⋊Q8C2311yescharacteristic
221#529—42no—
222#529—42no—
223C2×#126D411yescharacteristic
224C2×#126D411yescharacteristic
225C2×#125D411yescharacteristic
226C2×#124D411yescharacteristic
227C2×#124C2311yescharacteristic
228C2×#124C2311yescharacteristic
229C2×#123—21no—
230C2×#123—21no—
231C2×#123D411yescharacteristic
232C2×#123D411yescharacteristic
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8D411yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×#121—21no—
245C2×#121—21no—
246C2×#121D411yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#120—21no—
254C2×#120—21no—
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—42no—
259C2×C4×D4—42no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117—21no—
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C42C2311yescharacteristic
273#468—42no—
274#468—42no—
275#466—42no—
276#465—42no—
277#463—42no—
278#463—42no—
279#461—42no—
280#461—42no—
281#450—42no—
282#450—42no—
283#450—42no—
284#449—42no—
285#449—42no—
286#448—42no—
287#448—42no—
288#447—42no—
289#433—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298#424—42no—
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#400—21no—
350#400—21no—
351#400—21no—
352#400—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#399—21no—
358#398—21no—
359#398—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#395—21no—
370#395—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#393—21no—
382#393—21no—
383#393—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389—21no—
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#387—21no—
426#387—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#386—21no—
437#386—21no—
438#386—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384—21no—
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#382—21no—
454#382—21no—
455#382C2311yescharacteristic
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#379—21no—
472#379—21no—
473C4×C4⋊C4—21no—
474C4×C4⋊C4C2311yescharacteristic
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C22×Q8—21no—
510C22×Q8—41no—
511C22×Q8—41no—
512C22×Q8—41no—
513C22×Q8—41no—
514C22×Q8—41no—
515C22×Q8—41no—
516C22×Q8C2×D411yescharacteristic
517C22×Q8C2411yescharacteristic
518C22×Q8C2411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4C2×D411yescharacteristic
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—44no—
548C23×C4—82no—
549C23×C4—82no—
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C4⋊Q8—22no—
594C4⋊Q8—22no—
595C4⋊Q8—41no—
596C4⋊Q8—41no—
597#126—42no—
598#126—42no—
599#125—42no—
600#124—22no—
601#124—22no—
602#124—42no—
603#124—41no—
604#124—41no—
605#123—42no—
606#123—42no—
607#123—44no—
608#123—44no—
609C22⋊Q8—42no—
610C22⋊Q8—44no—
611C22⋊Q8—44no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—82no—
625C22⋊Q8—82no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—42no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—82no—
640#121—82no—
641#120—82no—
642#120—82no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—44no—
660C4×D4—44no—
661#117—22no—
662#117—22no—
663#117—22no—
664#117—22no—
665#117—82no—
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⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
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—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—44no—
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C42—22no—
761C2×C42—22no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42C2×D411yescharacteristic
767C2×C42C2×D411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772#107—41no—
773#107—41no—
774#107—41no—
775#107—41no—
776#107—41no—
777#107—41no—
778#106—41no—
779#106—41no—
780C4⋊C8—22no—
781C4⋊C8—22no—
782C4⋊C8—22no—
783C4⋊C8—22no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828#97—41no—
829C4×C8—41no—
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#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—42no—
868C24—81no—
869C24—81no—
870C24C22×D411yescharacteristic
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873#41—82no—
874#41—82no—
875#41—82no—
876#41—82no—
877C2×Q8—22no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—41no—
897C2×Q8—41no—
898C2×Q8—42no—
899C2×Q8—81no—
900C2×Q8—81no—
901C2×Q8—82no—
902C2×Q8—82no—
903C2×Q8—82no—
904C2×Q8—82no—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4H(5,𝔽2)12yes—
959C2×D4H(5,𝔽2)12yes—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—816no—
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C2511yescharacteristic
1031SD16—82no—
1032SD16—82no—
1033SD16—82no—
1034SD16—82no—
1035SD16—82no—
1036SD16—82no—
1037D8—82no—
1038D8—82no—
1039M16—82no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—82no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—22no—
1068C4⋊C4—22no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C22⋊C4—22no—
1117C22⋊C4—22no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C42—22no—
1167C42—22no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—81no—
1175C42—81no—
1176C42—81no—
1177C42—81no—
1178C42H(5,𝔽2)12yes—
1179C42H(5,𝔽2)12yes—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—22no—
1193C23—22no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—48no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—84no—
1223C23—84no—
1224C23—84no—
1225C23—84no—
1226C23—84no—
1227C23—84no—
1228C23#57812yes—
1229C23C23×D411yescharacteristic
1230Q8—41no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—82no—
1243Q8—84no—
1244D4—22no—
1245D4—22no—
1246D4—22no—
1247D4—22no—
1248D4—48no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—82no—
1258D4—82no—
1259D4—82no—
1260D4—84no—
1261D4—162no—
1262D4—162no—
1263D4—162no—
1264D4—162no—
1265D4—162no—
1266D4—162no—
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—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—44no—
1298C2×C4—44no—
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—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—84no—
1351C2×C4—84no—
1352C2×C4—84no—
1353C2×C4—84no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4#53412yes—
1358C2×C4#53412yes—
1359C2×C4#57712yes—
1360C2×C4C2×H(5,𝔽2)11yescharacteristic
1361C2×C4C2×H(5,𝔽2)11yescharacteristic
1362C2×C4C2×H(5,𝔽2)11yescharacteristic
1363C2×C4C2×H(5,𝔽2)11yescharacteristic
1364C2×C4#58511yescharacteristic
1365C2×C4#58511yescharacteristic
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—42no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—42no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—42no—
1394C22—41no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—42no—
1401C22—816no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22C2×#53411yescharacteristic
1418C22#348811yescharacteristic
1419C22#348811yescharacteristic
1420C22C2×#57711yescharacteristic
1421C22C2×#57811yescharacteristic
1422C22#358511yescharacteristic
1423C22#358511yescharacteristic
1424C4—22no—
1425C4—22no—
1426C4—22no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4#353711yescharacteristic
1449C4#354011yescharacteristic
1450C4#354211yescharacteristic
1451C4#354211yescharacteristic
1452C2—42no—
1453C2—81no—
1454C2—81no—
1455C2—82no—
1456C2—82no—
1457C2—161no—
1458C2#3726911yescharacteristic
1459C2#6075711yescharacteristic
1460C2#6076411yescharacteristic
1461C2#6201711yescharacteristic
1462C2#6203911yescharacteristic
1463C2#6205411yescharacteristic
1464C2#6207511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37379C2semidirect
2. #35236C2semidirect
3. #32908C2semidirect
4. #32905C2semidirect
5. #32621C2semidirect
6. #32612C2semidirect
7. #32605C2semidirect
8. #32598C2semidirect
9. #32042C2semidirect
10. #32029C2semidirect
11. #31678C2semidirect
12. #31669C2semidirect
13. #31065C2semidirect
14. #31057C2semidirect
15. #30510C2semidirect
16. #30501C2semidirect
17. #30417C2semidirect
18. #30415C2semidirect
19. #30402C2semidirect
20. #30399C2semidirect
21. #29927C2semidirect
22. #29923C2semidirect
23. #27640C2semidirect
24. #27636C2semidirect
25. #24766C2semidirect
26. #24763C2semidirect
27. #24666C2semidirect
28. #24663C2semidirect
29. #24219C2semidirect
30. #24219C2semidirect
31. #21855C2semidirect
32. C2×#536C22semidirect
51. C2×#433C22semidirect
52. C2×#424C22semidirect
67. #2621C22semidirect
68. #2620C22semidirect
69. #2592C22semidirect
70. #2568C22semidirect
84. #2409C22semidirect
88. #2407C22semidirect
93. #2314C22semidirect
95. #2096C22semidirect
96. #2095C22semidirect
97. #2095C22semidirect
98. #2093C22semidirect
99. #2077C22semidirect
100. #2076C22semidirect
101. #2076C22semidirect
102. #2075C22semidirect
103. #2072C22semidirect
104. #2072C22semidirect
105. #2072C22semidirect
106. #2071C22semidirect
107. #2068C22semidirect
108. #2068C22semidirect
109. #2067C22semidirect
110. #2066C22semidirect
115. #2043C22semidirect
116. #2043C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
125. #2036C22semidirect
126. #2036C22semidirect
127. #2035C22semidirect
134. #2033C22semidirect
143. #1985C22semidirect
144. #1984C22semidirect
145. #1983C22semidirect
146. #1983C22semidirect
147. #1981C22semidirect
148. #1981C22semidirect
155. #1949C22semidirect
156. #1949C22semidirect
157. #1947C22semidirect
158. #1947C22semidirect
159. #1936C22semidirect
160. #1935C22semidirect
161. #1933C22semidirect
162. #1933C22semidirect
167. #1921C22semidirect
168. #1921C22semidirect
169. #1919C22semidirect
170. #1918C22semidirect
171. #1895C22semidirect
172. #1894C22semidirect
173. #1892C22semidirect
174. #1892C22semidirect
188. #1870C22semidirect
190. #1869C22semidirect
195. #1798C22semidirect
196. #1798C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1787C22semidirect
202. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#373792
#352362
#329082
#329052
#326212
#326122
#326052
#325982
#320422
#320292
#316782
#316692
#310652
#310572
#305102
#305012
#304172
#304152
#304022
#303992
#299272
#299232
#276402
#276362
#247662
#247632
#246662
#246632
#242192
#218552