Finite Group Databasebeta

← #7054193

Subgroups — #7054193

Order 512.

2229 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3314C211yesmaximal, characteristic, complemented
2C2×#3203C211yesmaximal, characteristic, complemented
3#45103C211yesmaximal, characteristic, complemented
4#42434C211yesmaximal, characteristic, complemented
5#31202C211yesmaximal, characteristic, complemented
6#30922C211yesmaximal, characteristic, complemented
7#30858C211yesmaximal, characteristic, complemented
8#30707C211yesmaximal, characteristic, complemented
9#30707C211yesmaximal, characteristic, complemented
10#30537C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30466C211yesmaximal, characteristic, complemented
13#28931C211yesmaximal, characteristic, complemented
14#28492C211yesmaximal, characteristic, complemented
15#26803C211yesmaximal, characteristic, complemented
16#26640C211yesmaximal, characteristic, complemented
17#25786C211yesmaximal, characteristic, complemented
18#25769C211yesmaximal, characteristic, complemented
19#25545C211yesmaximal, characteristic, complemented
20#25423C211yesmaximal, characteristic, complemented
21#25128C211yesmaximal, characteristic, complemented
22#25121C211yesmaximal, characteristic, complemented
23#25094C211yesmaximal, characteristic, complemented
24#24489C211yesmaximal, characteristic, complemented
25#24434C211yesmaximal, characteristic, complemented
26#24395C211yesmaximal, characteristic, complemented
27#24393C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23390C211yesmaximal, characteristic, complemented
30#22938C211yesmaximal, characteristic, complemented
31#22851C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C2×#554C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic, complemented
39#3314—28no—
40#3203—28no—
41C2×#497C2211yescharacteristic
42C2×#497C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic
44C2×#484C2211yescharacteristic
45C2×#484C2211yescharacteristic, complemented
46C2×#484C2211yescharacteristic, complemented
47C2×#480C2211yescharacteristic
48C2×#480C2211yescharacteristic, complemented
49C2×#474C2211yescharacteristic
50C2×#470C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#467C2211yescharacteristic
55C2×#467C2211yescharacteristic, complemented
56C2×#467C2211yescharacteristic, complemented
57C2×#466C2211yescharacteristic
58C2×#465C2211yescharacteristic
59C2×#465C2211yescharacteristic
60C2×#464C2211yescharacteristic
61C2×#461C2211yescharacteristic
62C2×#452C2211yescharacteristic
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#440C2211yescharacteristic
72C2×#435C2211yescharacteristic
73C2×#435C2211yescharacteristic
74C2×#417C2211yescharacteristic
75C2×#417C2211yescharacteristic, complemented
76C22×#102C2211yescharacteristic
77C2×#408C2211yescharacteristic, complemented
78C2×#408C2211yescharacteristic, complemented
79#2816—21no—
80#2720—21no—
81#2711—21no—
82#2692—21no—
83#2680—21no—
84#2676—21no—
85#2671—21no—
86#2671—21no—
87#2668—21no—
88#2635—21no—
89#2620—21no—
90#2616C2211yescharacteristic, complemented
91#2542C2211yescharacteristic
92#2542C2211yescharacteristic
93#2540C2211yescharacteristic
94#2537—21no—
95#2492C2211yescharacteristic, complemented
96#2491C2211yescharacteristic, complemented
97#2437—21no—
98#2432C2211yescharacteristic
99#2432C2211yescharacteristic
100#2432C2211yescharacteristic, complemented
101#2429C2211yescharacteristic, complemented
102#2427C2211yescharacteristic
103#2427C2211yescharacteristic
104#2426C2211yescharacteristic, complemented
105#2424—21no—
106#2424—21no—
107#2417C2211yescharacteristic
108#2417C2211yescharacteristic
109#2417C2211yescharacteristic
110#2416C2211yescharacteristic
111#2414—21no—
112#2408C2211yescharacteristic
113#2407C2211yescharacteristic
114#2388C2211yescharacteristic
115#2361C2211yescharacteristic
116#2361C2211yescharacteristic
117#2344C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2057C2211yescharacteristic, complemented
123#2055C2211yescharacteristic
124#2055C2211yescharacteristic, complemented
125#2043C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic
128#2036C2211yescharacteristic
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic
133#2033C2211yescharacteristic
134#2024C2211yescharacteristic, complemented
135#2016C2211yescharacteristic, complemented
136#2016C2211yescharacteristic, complemented
137#2015C2211yescharacteristic
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2001C2211yescharacteristic
143#2001C2211yescharacteristic
144#2001C2211yescharacteristic
145#2001C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1983C2211yescharacteristic
159#1983C2211yescharacteristic, complemented
160#1981C2211yescharacteristic, complemented
161#1973C2211yescharacteristic
162#1973C2211yescharacteristic, complemented
163#1971C2211yescharacteristic, complemented
164#1955C2211yescharacteristic
165#1943C2211yescharacteristic, complemented
166#1936C2211yescharacteristic
167#1936C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1928C2211yescharacteristic, complemented
170#1926C2211yescharacteristic
171#1925C2211yescharacteristic
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1921C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1894C2211yescharacteristic, complemented
178#1893C2211yescharacteristic
179#1892C2211yescharacteristic
180#1892C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1878C2211yescharacteristic, complemented
184#1877C2211yescharacteristic
185#1872C2211yescharacteristic
186#1872C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1869C2211yescharacteristic
189#1869C2211yescharacteristic
190#1869C2211yescharacteristic
191#1864C2211yescharacteristic
192#1863C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1852C2211yescharacteristic
195#1852C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201#1762C2211yescharacteristic
202#1752C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#135—42no—
211C2×#135—42no—
212C2×#135—42no—
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230#554—24no—
231#554—42no—
232#546—24no—
233#546—42no—
234#546—42no—
235#546—42no—
236#537—24no—
237#537—24no—
238#537—42no—
239#537—42no—
240#537—42no—
241#537—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×C4⋊Q8C2311yescharacteristic
244C2×C4⋊Q8C2311yescharacteristic
245C2×#125—21no—
246C2×#124—21no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×#117—21no—
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—21no—
307C22×C22⋊C4—21no—
308#497—42no—
309#497—42no—
310#489—24no—
311#484—24no—
312#484—24no—
313#484—24no—
314#480—24no—
315#480D418yescomplemented
316#474—24no—
317#470—42no—
318#468—24no—
319#468—24no—
320#468—24no—
321#467—24no—
322#467—24no—
323#467—42no—
324#466—24no—
325#465—42no—
326#465—42no—
327#464—24no—
328#461—42no—
329#452—24no—
330#452—24no—
331#452—24no—
332#452—42no—
333#450—24no—
334#450—42no—
335#449—24no—
336#449—24no—
337#447—42no—
338#440—24no—
339#435—24no—
340#435—42no—
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352#417—24no—
353#417—42no—
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#102—24no—
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387#408—24no—
388#408—42no—
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×#97C2311yescharacteristic
403#400—21no—
404#399—21no—
405#399—21no—
406#399—21no—
407#399—21no—
408#399—21no—
409#398—21no—
410#398—21no—
411#398—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#395D411yescharacteristic
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394D411yescharacteristic
440#394D411yescharacteristic
441#394D411yescharacteristic
442#393—21no—
443#393—21no—
444#393D411yescharacteristic
445#392—21no—
446#392—21no—
447#392—21no—
448#392D411yescharacteristic
449#392D411yescharacteristic
450#392D411yescharacteristic
451#391—21no—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#389—21no—
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#387—21no—
477#387—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#384—21no—
497#384—21no—
498#381—21no—
499#380—21no—
500#380—21no—
501#380—21no—
502#380—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509C4×C4⋊C4C2311yescharacteristic
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C22×Q8—21no—
559C22×Q8C2×D411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603#135—416no—
604C2×Q16—22no—
605C2×Q16—22no—
606C2×Q16—22no—
607C2×Q16—41no—
608C2×Q16—41no—
609C2×Q16—41no—
610C2×Q16—41no—
611C2×Q16—41no—
612C2×Q16—41no—
613C2×Q16—41no—
614C2×Q16—41no—
615C2×Q16—41no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16—22no—
623C2×SD16—22no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×D8—22no—
635C2×D8—22no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—41no—
643C2×M16—41no—
644C2×M16—41no—
645C2×M16—41no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—22no—
649C22×C8—22no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8—41no—
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C4⋊Q8—22no—
664C4⋊Q8—41no—
665C4⋊Q8—41no—
666C4⋊Q8—41no—
667C4⋊Q8—41no—
668C4⋊Q8—41no—
669#125—44no—
670#124—22no—
671#124—22no—
672#124—41no—
673#124—41no—
674#124—41no—
675#124—41no—
676#124—82no—
677#123—44no—
678#123—44no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—22no—
682C22⋊Q8—22no—
683C22⋊Q8—22no—
684C22⋊Q8—22no—
685C22⋊Q8—22no—
686C22⋊Q8—22no—
687C22⋊Q8—22no—
688C22⋊Q8—22no—
689C22⋊Q8—22no—
690C22⋊Q8—44no—
691C22⋊Q8—44no—
692C22⋊Q8—44no—
693C22⋊Q8—44no—
694C22⋊Q8—41no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699C22⋊Q8—41no—
700C22⋊Q8—41no—
701C22⋊Q8—41no—
702C22⋊Q8—41no—
703C22⋊Q8—44no—
704C22⋊Q8—41no—
705C22⋊Q8—41no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—44no—
725#121—44no—
726#121—44no—
727#121—44no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—44no—
732#121—41no—
733#121—41no—
734#121—82no—
735#121C2×D414yes—
736#120—44no—
737#120—44no—
738#120—82no—
739C4×Q8—22no—
740C4×Q8—41no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—44no—
752C4×D4—82no—
753C4×D4—82no—
754#117—82no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—41no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4—41no—
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D414yes—
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—44no—
843C2×C22⋊C4—44no—
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C42—21no—
857C2×C42—21no—
858C2×C42—21no—
859C2×C42—21no—
860C2×C42C2411yescharacteristic
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863#107—22no—
864#107—22no—
865#107—22no—
866#107—41no—
867#107C2×D414yes—
868#107C2×D414yes—
869#106—22no—
870#106—41no—
871C4⋊C8—22no—
872C4⋊C8—41no—
873C4⋊C8—41no—
874#103—22no—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103—41no—
885#103—41no—
886#103—41no—
887#103—41no—
888#103—41no—
889#103—41no—
890#103—41no—
891#103—41no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102C2×D414yes—
905#102C2×D414yes—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8C2×D414yes—
917#97—22no—
918#97—22no—
919#97—41no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95C2×D411yescharacteristic
940#95C2×D411yescharacteristic
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945C24—21no—
946C24—21no—
947C24—21no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24C22×D411yescharacteristic
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959#41—44no—
960#41—44no—
961#41—44no—
962#41—44no—
963#41—82no—
964#41—82no—
965#41—82no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—82no—
972#41—82no—
973#41—82no—
974#41—82no—
975C2×Q8—22no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—21no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—41no—
1001C2×Q8—41no—
1002C2×Q8—42no—
1003C2×Q8—81no—
1004C2×Q8—81no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—22no—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—81no—
1055C2×D4—82no—
1056C2×D4—82no—
1057C2×D4—82no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4C22×D412yes—
1077C2×D4H(5,𝔽2)12yes—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—24no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4—81no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D412yes—
1151C22×C4H(5,𝔽2)12yes—
1152C22×C4C2511yescharacteristic
1153Q16—44no—
1154Q16—82no—
1155Q16—82no—
1156Q16—82no—
1157SD16—44no—
1158SD16—44no—
1159SD16—44no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163D8—44no—
1164D8—82no—
1165M16—82no—
1166M16—82no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—44no—
1189C2×C8—82no—
1190C2×C8—82no—
1191C2×C8C22×D412yes—
1192C2×C8C22×D412yes—
1193C2×C8H(5,𝔽2)12yes—
1194C4⋊C4—24no—
1195C4⋊C4—22no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—81no—
1229C4⋊C4—81no—
1230C4⋊C4—81no—
1231C4⋊C4—81no—
1232C4⋊C4—81no—
1233C4⋊C4—81no—
1234C4⋊C4—81no—
1235C4⋊C4—81no—
1236C4⋊C4—81no—
1237C4⋊C4—81no—
1238C4⋊C4C22×D412yes—
1239C4⋊C4C22×D412yes—
1240C4⋊C4C22×D412yes—
1241C4⋊C4H(5,𝔽2)12yes—
1242C22⋊C4—24no—
1243C22⋊C4—22no—
1244C22⋊C4—24no—
1245C22⋊C4—22no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C42—21no—
1295C42—21no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—42no—
1301C42—42no—
1302C42—42no—
1303C42—81no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—22no—
1323C23—21no—
1324C23—21no—
1325C23—22no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—84no—
1352C23—84no—
1353C23—84no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23D4212yes—
1359C23#57812yes—
1360C23C23×D411yescharacteristic
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—82no—
1378Q8—162no—
1379D4—22no—
1380D4—22no—
1381D4—22no—
1382D4—22no—
1383D4—44no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4—162no—
1499C2×C4—162no—
1500C2×C4—162no—
1501C2×C4D4212yes—
1502C2×C4C23×D411yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C2×C4C2×H(5,𝔽2)11yescharacteristic
1507C2×C4#58511yescharacteristic
1508C8—22no—
1509C8—22no—
1510C8—22no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—41no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—168no—
1566C22C2×D4211yescharacteristic
1567C22#348411yescharacteristic
1568C22#349611yescharacteristic
1569C22C2×#57811yescharacteristic
1570C22#358511yescharacteristic
1571C22#358511yescharacteristic
1572C22#358611yescharacteristic
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4#348811yescharacteristic
1597C4#349811yescharacteristic
1598C4#353211yescharacteristic
1599C4#354211yescharacteristic
1600C2—42no—
1601C2—42no—
1602C2—81no—
1603C2—81no—
1604C2—82no—
1605C2—82no—
1606C2—161no—
1607C2#4388611yescharacteristic
1608C2#6107611yescharacteristic
1609C2#6107911yescharacteristic
1610C2#6161911yescharacteristic
1611C2#6167011yescharacteristic
1612C2#6231211yescharacteristic
1613C2#6233811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3314C2semidirect
2. C2×#3203C2semidirect
3. #45103C2semidirect
4. #42434C2semidirect
5. #31202C2semidirect
6. #30922C2semidirect
7. #30858C2semidirect
8. #30707C2semidirect
9. #30707C2semidirect
10. #30537C2semidirect
11. #30501C2semidirect
12. #30466C2semidirect
13. #28931C2semidirect
14. #28492C2semidirect
15. #26803C2semidirect
16. #26640C2semidirect
17. #25786C2semidirect
18. #25769C2semidirect
19. #25545C2semidirect
20. #25423C2semidirect
21. #25128C2semidirect
22. #25121C2semidirect
23. #25094C2semidirect
24. #24489C2semidirect
25. #24434C2semidirect
26. #24395C2semidirect
27. #24393C2semidirect
28. #23850C2semidirect
29. #23390C2semidirect
30. #22938C2semidirect
31. #22851C2semidirect
38. C2×#537C22semidirect
42. C2×#497C22semidirect
45. C2×#484C22semidirect
46. C2×#484C22semidirect
48. C2×#480C22semidirect
50. C2×#470C22semidirect
53. C2×#468C22semidirect
55. C2×#467C22semidirect
56. C2×#467C22semidirect
65. C2×#452C22semidirect
75. C2×#417C22semidirect
77. C2×#408C22semidirect
78. C2×#408C22semidirect
90. #2616C22semidirect
95. #2492C22semidirect
96. #2491C22semidirect
100. #2432C22semidirect
101. #2429C22semidirect
104. #2426C22semidirect
117. #2344C22semidirect
118. #2068C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2057C22semidirect
124. #2055C22semidirect
125. #2043C22semidirect
126. #2043C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
134. #2024C22semidirect
135. #2016C22semidirect
136. #2016C22semidirect
145. #2001C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
159. #1983C22semidirect
160. #1981C22semidirect
162. #1973C22semidirect
163. #1971C22semidirect
165. #1943C22semidirect
167. #1936C22semidirect
168. #1928C22semidirect
169. #1928C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1921C22semidirect
175. #1921C22semidirect
177. #1894C22semidirect
180. #1892C22semidirect
183. #1878C22semidirect
186. #1872C22semidirect
187. #1872C22semidirect
192. #1863C22semidirect
193. #1853C22semidirect
195. #1852C22semidirect
196. #1851C22semidirect
197. #1851C22semidirect
200. #1776C22semidirect
202. #1752C22semidirect
203. #1752C22semidirect
204. C2×#340C22semidirect
315. #480D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33142
C2×#32032
#451032
#424342
#312022
#309222
#308582
#307072
#305372
#305012
#304662
#289312
#284922
#268032
#266402
#257862
#257692
#255452
#254232
#251282
#251212
#250942
#244892
#244342
#243952
#243932
#238502
#233902
#229382
#228512