Finite Group Databasebeta

← #7257188

Subgroups — #7257188

Order 512.

1803 conjugacy classes of subgroups.

The subgroup lattice has 1487 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39926C211yesmaximal, characteristic, complemented
2#38949C211yesmaximal, characteristic, complemented
3#32763C211yesmaximal, characteristic, complemented
4#31958C211yesmaximal, characteristic, complemented
5#31957C211yesmaximal, characteristic, complemented
6#31594C211yesmaximal, characteristic, complemented
7#31589C211yesmaximal, characteristic, complemented
8#31203C211yesmaximal, characteristic, complemented
9#31198C211yesmaximal, characteristic, complemented
10#31012C211yesmaximal, characteristic, complemented
11#31011C211yesmaximal, characteristic, complemented
12#30565C211yesmaximal, characteristic, complemented
13#30561C211yesmaximal, characteristic, complemented
14#30503C211yesmaximal, characteristic, complemented
15#30501C211yesmaximal, characteristic, complemented
16#28352C211yesmaximal, characteristic, complemented
17#28343C211yesmaximal, characteristic, complemented
18#28312C211yesmaximal, characteristic, complemented
19#27895C211yesmaximal, characteristic, complemented
20#27585C211yesmaximal, characteristic, complemented
21#26612C211yesmaximal, characteristic, complemented
22#26609C211yesmaximal, characteristic, complemented
23#25042C211yesmaximal, characteristic, complemented
24#25040C211yesmaximal, characteristic, complemented
25#24869C211yesmaximal, characteristic, complemented
26#24868C211yesmaximal, characteristic, complemented
27#24432C211yesmaximal, characteristic, complemented
28#24428C211yesmaximal, characteristic, complemented
29#24259C211yesmaximal, characteristic, complemented
30#24248C211yesmaximal, characteristic, complemented
31#22339C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#482C2211yescharacteristic, complemented
35C2×#483C2211yescharacteristic, complemented
36C2×#483C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic, complemented
38C2×#466C2211yescharacteristic
39C2×#465C2211yescharacteristic
40C2×#465C2211yescharacteristic, complemented
41C2×#465C2211yescharacteristic, complemented
42C2×#464C2211yescharacteristic
43C2×#459C2211yescharacteristic
44C2×#452C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#450C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#442C2211yescharacteristic
51C2×#440C2211yescharacteristic, complemented
52C2×#416C2211yescharacteristic, complemented
53C22×#102C2211yescharacteristic
54#2850C2211yescharacteristic
55#2850C2211yescharacteristic, complemented
56#2773—21no—
57#2748—21no—
58#2706—21no—
59#2703—21no—
60#2701—21no—
61#2699—21no—
62#2697—21no—
63#2678—21no—
64#2651—21no—
65#2617—21no—
66#2570C2211yescharacteristic, complemented
67#2540C2211yescharacteristic, complemented
68#2538C2211yescharacteristic, complemented
69#2535C2211yescharacteristic
70#2501C2211yescharacteristic, complemented
71#2499C2211yescharacteristic, complemented
72#2471—21no—
73#2471—21no—
74#2447C2211yescharacteristic
75#2445C2211yescharacteristic
76#2435C2211yescharacteristic
77#2431C2211yescharacteristic
78#2423C2211yescharacteristic, complemented
79#2422C2211yescharacteristic, complemented
80#2420C2211yescharacteristic
81#2420C2211yescharacteristic
82#2417C2211yescharacteristic
83#2417C2211yescharacteristic
84#2416C2211yescharacteristic
85#2414C2211yescharacteristic, complemented
86#2412—21no—
87#2410—21no—
88#2408C2211yescharacteristic
89#2407C2211yescharacteristic
90#2367C2211yescharacteristic, complemented
91#2352C2211yescharacteristic, complemented
92#2335—21no—
93#2308—21no—
94C4×#121C2211yescharacteristic
95C2×#390C2211yescharacteristic
96#2285C2211yescharacteristic, complemented
97#2097C2211yescharacteristic, complemented
98#2094C2211yescharacteristic
99#2094C2211yescharacteristic, complemented
100#2094C2211yescharacteristic, complemented
101#2092C2211yescharacteristic
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2084C2211yescharacteristic, complemented
105#2074C2211yescharacteristic, complemented
106#2074C2211yescharacteristic, complemented
107#2073C2211yescharacteristic, complemented
108#2073C2211yescharacteristic, complemented
109#2071C2211yescharacteristic
110#2071C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2066C2211yescharacteristic, complemented
113#2066C2211yescharacteristic, complemented
114#2065C2211yescharacteristic, complemented
115#2042C2211yescharacteristic
116#2041C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic
129#2015C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2014C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2001C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1973C2211yescharacteristic
146#1973C2211yescharacteristic, complemented
147#1972C2211yescharacteristic
148#1972C2211yescharacteristic, complemented
149#1972C2211yescharacteristic, complemented
150#1971C2211yescharacteristic, complemented
151#1961C2211yescharacteristic
152#1959C2211yescharacteristic
153#1959C2211yescharacteristic, complemented
154#1959C2211yescharacteristic, complemented
155#1955C2211yescharacteristic
156#1955C2211yescharacteristic, complemented
157#1944C2211yescharacteristic, complemented
158#1943C2211yescharacteristic, complemented
159#1927C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1926C2211yescharacteristic
162#1926C2211yescharacteristic
163#1926C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1917C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1874C2211yescharacteristic
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1864C2211yescharacteristic
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1847C2211yescharacteristic, complemented
190#1836C2211yescharacteristic, complemented
191#1817C2211yescharacteristic, complemented
192#1808C2211yescharacteristic, complemented
193#1807C2211yescharacteristic, complemented
194#1804C2211yescharacteristic
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1752C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#546—42no—
218#546—42no—
219D42—42no—
220D42—42no—
221C2×#127C2311yescharacteristic
222C2×#124C2311yescharacteristic
223C2×#124C2311yescharacteristic
224C2×#124C2311yescharacteristic
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121D411yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×#120—21no—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×#117—21no—
258C2×#117C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C22⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C22⋊C4—21no—
264C22×C42C2311yescharacteristic
265#483—42no—
266#483—42no—
267#482—42no—
268#480—42no—
269#466—42no—
270#465—42no—
271#465—42no—
272#465—42no—
273#464—42no—
274#459—42no—
275#452—42no—
276#450—42no—
277#450—42no—
278#449—42no—
279#447—42no—
280#447—42no—
281#442—42no—
282#440—42no—
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297#416—42no—
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102—42no—
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345#400—21no—
346#399—21no—
347#399—21no—
348#399—21no—
349#399—21no—
350#398—21no—
351#398—21no—
352#398—21no—
353#398—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390D411yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
405#389D411yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388D411yescharacteristic
420#388D411yescharacteristic
421#387—21no—
422#387—21no—
423#387—21no—
424#387—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#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386D411yescharacteristic
444#386D411yescharacteristic
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#382—21no—
453#382C2311yescharacteristic
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#381—21no—
458#381—21no—
459#380—21no—
460#380—21no—
461#380—21no—
462#380D411yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470#379—21no—
471#379—21no—
472C4×C4⋊C4—21no—
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C4⋊C4C2311yescharacteristic
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8C2411yescharacteristic
511C22×Q8C2411yescharacteristic
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—44no—
537C22×D4—44no—
538C22×D4—82no—
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4C2×D411yescharacteristic
553C23×C4C2×D411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C2×Q16—41no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
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×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C22×C8—22no—
582C22×C8—22no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8—41no—
586C22×C8—41no—
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595#127—22no—
596#127—41no—
597#124—22no—
598#124—41no—
599#124—41no—
600#124—41no—
601#124—41no—
602#124—41no—
603#123—44no—
604#123—44no—
605#123—82no—
606#123—82no—
607#123—82no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618#121—22no—
619#121—22no—
620#121—42no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—44no—
626#121—44no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—82no—
636#120—44no—
637#120—44no—
638#120—44no—
639#120—82no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654#117—41no—
655#117—41no—
656#117—82no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
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—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
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—44no—
739C2×C22⋊C4—82no—
740C2×C22⋊C4—82no—
741C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—41no—
756C2×C42—41no—
757C2×C42C2×D411yescharacteristic
758C2×C42C2×D411yescharacteristic
759C2×C42C2411yescharacteristic
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763#107—22no—
764#107—41no—
765#107—41no—
766#107—41no—
767#106—22no—
768#106—41no—
769#106—41no—
770#106—41no—
771#106—41no—
772#106—41no—
773#106—41no—
774#106—41no—
775C4⋊C8—41no—
776C4⋊C8—41no—
777#103—22no—
778#103—22no—
779#103—22no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#102—22no—
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—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819#97—41no—
820#97—41no—
821#97—41no—
822#97—41no—
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#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#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855C24—24no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24C22×D411yescharacteristic
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876#41—44no—
877#41—82no—
878#41—82no—
879#41—82no—
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×D4—22no—
893C2×D4—22no—
894C2×D4—24no—
895C2×D4—22no—
896C2×D4—22no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
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—41no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—44no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—82no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—816no—
968C2×D4H(5,𝔽2)12yes—
969C2×D4H(5,𝔽2)12yes—
970C22×C4—22no—
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—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C2511yescharacteristic
1036Q16—82no—
1037SD16—44no—
1038SD16—82no—
1039SD16—82no—
1040SD16—82no—
1041D8—44no—
1042D8—82no—
1043D8—82no—
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—21no—
1065C2×C8—21no—
1066C2×C8—82no—
1067C2×C8—82no—
1068C2×C8H(5,𝔽2)12yes—
1069C2×C8H(5,𝔽2)12yes—
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—21no—
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—81no—
1101C4⋊C4—81no—
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—
1113C22⋊C4—22no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
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—81no—
1140C22⋊C4—81no—
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—
1166C22⋊C4—81no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—41no—
1176C42—41no—
1177C42—81no—
1178C42—81no—
1179C42—81no—
1180C42—81no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—22no—
1196C23—22no—
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—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—84no—
1230C23—84no—
1231C23—84no—
1232C23—84no—
1233C23—162no—
1234C23—162no—
1235C23—162no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23#57512yes—
1243C23#57712yes—
1244C23C23×D411yescharacteristic
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253D4—22no—
1254D4—22no—
1255D4—22no—
1256D4—22no—
1257D4—44no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—82no—
1271D4—82no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—162no—
1279D4—162no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
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—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—44no—
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—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—82no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4—162no—
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4#58511yescharacteristic
1378C2×C4#58511yescharacteristic
1379C8—22no—
1380C8—22no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—42no—
1404C22—42no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—168no—
1437C22—168no—
1438C22#348411yescharacteristic
1439C22#348511yescharacteristic
1440C22#349811yescharacteristic
1441C22C2×#57511yescharacteristic
1442C22C2×#57711yescharacteristic
1443C22#358511yescharacteristic
1444C22#358511yescharacteristic
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4#353411yescharacteristic
1469C4#353411yescharacteristic
1470C4#354211yescharacteristic
1471C4#354211yescharacteristic
1472C2—42no—
1473C2—42no—
1474C2—81no—
1475C2—82no—
1476C2—82no—
1477C2—161no—
1478C2—161no—
1479C2#4681311yescharacteristic
1480C2#6160111yescharacteristic
1481C2#6166911yescharacteristic
1482C2#6171411yescharacteristic
1483C2#6174611yescharacteristic
1484C2#6244911yescharacteristic
1485C2#6245711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39926C2semidirect
2. #38949C2semidirect
3. #32763C2semidirect
4. #31958C2semidirect
5. #31957C2semidirect
6. #31594C2semidirect
7. #31589C2semidirect
8. #31203C2semidirect
9. #31198C2semidirect
10. #31012C2semidirect
11. #31011C2semidirect
12. #30565C2semidirect
13. #30561C2semidirect
14. #30503C2semidirect
15. #30501C2semidirect
16. #28352C2semidirect
17. #28343C2semidirect
18. #28312C2semidirect
19. #27895C2semidirect
20. #27585C2semidirect
21. #26612C2semidirect
22. #26609C2semidirect
23. #25042C2semidirect
24. #25040C2semidirect
25. #24869C2semidirect
26. #24868C2semidirect
27. #24432C2semidirect
28. #24428C2semidirect
29. #24259C2semidirect
30. #24248C2semidirect
31. #22339C2semidirect
34. C2×#482C22semidirect
35. C2×#483C22semidirect
36. C2×#483C22semidirect
37. C2×#480C22semidirect
40. C2×#465C22semidirect
41. C2×#465C22semidirect
44. C2×#452C22semidirect
45. C2×#449C22semidirect
51. C2×#440C22semidirect
52. C2×#416C22semidirect
55. #2850C22semidirect
66. #2570C22semidirect
67. #2540C22semidirect
68. #2538C22semidirect
70. #2501C22semidirect
71. #2499C22semidirect
78. #2423C22semidirect
79. #2422C22semidirect
85. #2414C22semidirect
90. #2367C22semidirect
91. #2352C22semidirect
96. #2285C22semidirect
97. #2097C22semidirect
99. #2094C22semidirect
100. #2094C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2084C22semidirect
105. #2074C22semidirect
106. #2074C22semidirect
107. #2073C22semidirect
108. #2073C22semidirect
110. #2071C22semidirect
111. #2067C22semidirect
112. #2066C22semidirect
113. #2066C22semidirect
114. #2065C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
129. #2015C22semidirect
130. #2015C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2001C22semidirect
138. #2001C22semidirect
141. #2000C22semidirect
144. #1999C22semidirect
146. #1973C22semidirect
148. #1972C22semidirect
149. #1972C22semidirect
150. #1971C22semidirect
153. #1959C22semidirect
154. #1959C22semidirect
156. #1955C22semidirect
157. #1944C22semidirect
158. #1943C22semidirect
159. #1927C22semidirect
160. #1927C22semidirect
163. #1926C22semidirect
164. #1926C22semidirect
165. #1925C22semidirect
166. #1925C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1917C22semidirect
170. #1917C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
174. #1877C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1865C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1853C22semidirect
187. #1853C22semidirect
188. #1853C22semidirect
189. #1847C22semidirect
190. #1836C22semidirect
191. #1817C22semidirect
192. #1808C22semidirect
193. #1807C22semidirect
195. #1802C22semidirect
196. #1788C22semidirect
200. #1752C22semidirect
201. #1752C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#399262
#389492
#327632
#319582
#319572
#315942
#315892
#312032
#311982
#310122
#310112
#305652
#305612
#305032
#305012
#283522
#283432
#283122
#278952
#275852
#266122
#266092
#250422
#250402
#248692
#248682
#244322
#244282
#242592
#242482
#223392