Finite Group Databasebeta

← #7006472

Subgroups — #7006472

Order 512.

2269 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×#3319C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#44929C211yesmaximal, characteristic, complemented
4#42950C211yesmaximal, characteristic, complemented
5#31218C211yesmaximal, characteristic, complemented
6#31170C211yesmaximal, characteristic, complemented
7#31056C211yesmaximal, characteristic, complemented
8#31031C211yesmaximal, characteristic, complemented
9#30661C211yesmaximal, characteristic, complemented
10#30612C211yesmaximal, characteristic, complemented
11#30538C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#28321C211yesmaximal, characteristic, complemented
14#26844C211yesmaximal, characteristic, complemented
15#26572C211yesmaximal, characteristic, complemented
16#26268C211yesmaximal, characteristic, complemented
17#25552C211yesmaximal, characteristic, complemented
18#25243C211yesmaximal, characteristic, complemented
19#25128C211yesmaximal, characteristic, complemented
20#25116C211yesmaximal, characteristic, complemented
21#25101C211yesmaximal, characteristic, complemented
22#24913C211yesmaximal, characteristic, complemented
23#24763C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24359C211yesmaximal, characteristic, complemented
26#24269C211yesmaximal, characteristic, complemented
27#24040C211yesmaximal, characteristic, complemented
28#23861C211yesmaximal, characteristic, complemented
29#23544C211yesmaximal, characteristic, complemented
30#22993C211yesmaximal, characteristic, complemented
31#22055C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic, complemented
34C2×#555C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#546C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic, complemented
38#3319—28no—
39#3265—28no—
40C2×#496C2211yescharacteristic
41C2×#489C2211yescharacteristic, complemented
42C2×#485C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#474C2211yescharacteristic, complemented
46C2×#468C2211yescharacteristic
47C2×#468C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#460C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic
56C2×#448C2211yescharacteristic, complemented
57C2×#450C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#442C2211yescharacteristic, complemented
65C2×#440C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×#424C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73#2814—21no—
74#2686—21no—
75#2684—21no—
76#2684—21no—
77#2678—21no—
78#2676—21no—
79#2671—21no—
80#2670—21no—
81#2668—21no—
82#2630—21no—
83#2626—21no—
84#2620C2211yescharacteristic, complemented
85#2534—21no—
86#2491C2211yescharacteristic, complemented
87#2485C2211yescharacteristic, complemented
88#2476—21no—
89#2452C2211yescharacteristic, complemented
90#2448C2211yescharacteristic, complemented
91#2447C2211yescharacteristic, complemented
92#2445C2211yescharacteristic, complemented
93#2436C2211yescharacteristic, complemented
94#2435—21no—
95#2435C2211yescharacteristic, complemented
96#2428C2211yescharacteristic
97#2423C2211yescharacteristic, complemented
98#2422C2211yescharacteristic, complemented
99#2417C2211yescharacteristic, complemented
100#2416C2211yescharacteristic
101#2414C2211yescharacteristic
102#2411—21no—
103#2410—21no—
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2408C2211yescharacteristic, complemented
108#2392C2211yescharacteristic
109#2363C2211yescharacteristic
110D4×C22⋊C4C2211yescharacteristic, complemented
111#2324C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2309C2211yescharacteristic, complemented
114#2094C2211yescharacteristic, complemented
115#2093C2211yescharacteristic, complemented
116#2087C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2057C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2054C2211yescharacteristic
130#2054C2211yescharacteristic
131#2054C2211yescharacteristic, complemented
132#2054C2211yescharacteristic, complemented
133#2054C2211yescharacteristic, complemented
134#2042C2211yescharacteristic, complemented
135#2042C2211yescharacteristic, complemented
136#2041C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2024C2211yescharacteristic, complemented
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2011C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1983C2211yescharacteristic, complemented
155#1973C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1970C2211yescharacteristic
160#1970C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1954C2211yescharacteristic, complemented
163#1947C2211yescharacteristic, complemented
164#1943C2211yescharacteristic, complemented
165#1940C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1936C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1895C2211yescharacteristic, complemented
175#1895C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1808C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1770C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C22×SD16—24no—
215C22×SD16—42no—
216C22×SD16—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#555—24no—
234#555—42no—
235#548—24no—
236#548—42no—
237#546—24no—
238#546—42no—
239D42—24no—
240D42—42no—
241C2×C4⋊Q8C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#124—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124—21no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×C4×Q8C2311yescharacteristic
279C2×C4×D4—21no—
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×#117—21no—
288C2×#117C2311yescharacteristic
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C22⋊C4—21no—
293C22×C22⋊C4—21no—
294#496—24no—
295#489—24no—
296#485—24no—
297#485—42no—
298#482—24no—
299#474—24no—
300#468—24no—
301#468—24no—
302#468—42no—
303#466—24no—
304#466—24no—
305#463—24no—
306#463—24no—
307#463—42no—
308#460—24no—
309#450—24no—
310#449D418yescomplemented
311#448—24no—
312#447—24no—
313#447—24no—
314#447—42no—
315#447—42no—
316#447—42no—
317#447—42no—
318#442—24no—
319#440—24no—
320#435—24no—
321#435—24no—
322#435—42no—
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331#424—42no—
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338#418—24no—
339#416—24no—
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#102—42no—
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×#97C2311yescharacteristic
382C2×#97C2311yescharacteristic
383C2×#97C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385#399—21no—
386#399—21no—
387#398—21no—
388#398—21no—
389#398D411yescharacteristic
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397D411yescharacteristic
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396D411yescharacteristic
402#396D411yescharacteristic
403#395—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
421#394D411yescharacteristic
422#393—21no—
423#393—21no—
424#393—21no—
425#393—21no—
426#393—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392D411yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#387—21no—
467#387—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#381—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499#379—21no—
500#379—21no—
501#379—21no—
502#379—21no—
503#379—21no—
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C22⋊C4—21no—
507C4×C22⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C25—21no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41C2×D414yes—
536C22×Q8—21no—
537C22×Q8—21no—
538C22×Q8—22no—
539C22×Q8—41no—
540C22×Q8—41no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8C2411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—22no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—44no—
579C22×D4—82no—
580C22×D4—82no—
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599AGL(1,ℤ/8)—416no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—416no—
618C2×SD16C2×D414yes—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8C2×D414yes—
637C2×M16—22no—
638C2×M16—22no—
639C2×M16—22no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C22×C8—22no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C4⋊Q8—22no—
658C4⋊Q8—41no—
659#127—22no—
660#127—41no—
661#124—22no—
662#124—22no—
663#124—41no—
664#124—41no—
665#124—41no—
666#124—41no—
667#124—44no—
668#124—44no—
669#124—44no—
670#124—82no—
671#123—44no—
672#123—82no—
673#123—82no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—41no—
678C22⋊Q8—44no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—82no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—44no—
690#121—44no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—44no—
696#121—44no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—82no—
702#121—82no—
703#121C2×D414yes—
704#120—44no—
705#120—44no—
706#120—44no—
707#120—82no—
708#120—82no—
709#120—82no—
710C4×Q8—22no—
711C4×Q8—41no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—44no—
727#117—22no—
728#117—22no—
729#117—22no—
730#117—41no—
731#117—41no—
732#117—44no—
733#117—41no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—41no—
748C2×C4⋊C4—41no—
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2×D411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
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—44no—
816C2×C22⋊C4—82no—
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C42—21no—
830C2×C42—21no—
831C2×C42—21no—
832C2×C42—21no—
833C2×C42C2411yescharacteristic
834C2×C42C2411yescharacteristic
835C2×C42C2411yescharacteristic
836C2×C42C2411yescharacteristic
837#107—22no—
838#107—22no—
839#107—22no—
840#107—41no—
841#107—41no—
842#107—41no—
843#106—22no—
844#106—41no—
845C4⋊C8—22no—
846C4⋊C8—22no—
847C4⋊C8—22no—
848C4⋊C8—22no—
849C4⋊C8—41no—
850C4⋊C8—41no—
851#103—22no—
852#103—22no—
853#103—22no—
854#103—41no—
855#103—41no—
856#103—41no—
857#103—41no—
858#103—41no—
859#103—41no—
860#103C2×D414yes—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102C2×D414yes—
883C22⋊C8—22no—
884C22⋊C8—22no—
885C22⋊C8—22no—
886C22⋊C8—22no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8C2×D414yes—
891#97—22no—
892#97—22no—
893#97—41no—
894C4×C8—41no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—42no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949#41—44no—
950#41—44no—
951#41—82no—
952#41—82no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—42no—
965C2×Q8—42no—
966C2×Q8—44no—
967C2×Q8—81no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8—81no—
971C2×Q8—82no—
972C2×Q8—82no—
973C2×Q8—82no—
974C2×Q8C22×D412yes—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—24no—
979C2×D4—24no—
980C2×D4—22no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—82no—
1034C2×D4—82no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—816no—
1066C2×D4C22×D412yes—
1067C2×D4C22×D412yes—
1068C2×D4H(5,𝔽2)12yes—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
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—21no—
1087C22×C4—24no—
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—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D412yes—
1129C22×C4H(5,𝔽2)12yes—
1130C22×C4C2511yescharacteristic
1131SD16—28no—
1132SD16—44no—
1133SD16—44no—
1134SD16—44no—
1135SD16—44no—
1136SD16—82no—
1137D8—44no—
1138D8—44no—
1139D8—44no—
1140D8—82no—
1141D8—82no—
1142D8—82no—
1143M16—44no—
1144M16—82no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—44no—
1167C2×C8—82no—
1168C2×C8C22×D412yes—
1169C2×C8C22×D412yes—
1170C2×C8H(5,𝔽2)12yes—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—81no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4C22×D412yes—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—24no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—42no—
1280C42—42no—
1281C42—42no—
1282C42—81no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—84no—
1341C23—84no—
1342C23—84no—
1343C23—84no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23D4212yes—
1359C23#57612yes—
1360C23C23×D411yescharacteristic
1361Q8—22no—
1362Q8—22no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—84no—
1370Q8—162no—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—22no—
1376D4—22no—
1377D4—44no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—84no—
1393D4—82no—
1394D4—82no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
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—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
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—21no—
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—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4—162no—
1490C2×C4—162no—
1491C2×C4—162no—
1492C2×C4D4212yes—
1493C2×C4C23×D411yescharacteristic
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C2×C4C2×H(5,𝔽2)11yescharacteristic
1496C2×C4C2×H(5,𝔽2)11yescharacteristic
1497C2×C4#58511yescharacteristic
1498C2×C4#58511yescharacteristic
1499C8—22no—
1500C8—22no—
1501C8—22no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—41no—
1531C22—42no—
1532C22—41no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
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—168no—
1564C22—168no—
1565C22—168no—
1566C22C2×D4211yescharacteristic
1567C22#348811yescharacteristic
1568C22#349611yescharacteristic
1569C22C2×#57611yescharacteristic
1570C22#358511yescharacteristic
1571C22#358511yescharacteristic
1572C22#358611yescharacteristic
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4#348411yescharacteristic
1596C4#348511yescharacteristic
1597C4#353411yescharacteristic
1598C4#355811yescharacteristic
1599C2—42no—
1600C2—42no—
1601C2—81no—
1602C2—82no—
1603C2—82no—
1604C2—82no—
1605C2—161no—
1606C2—161no—
1607C2#4302311yescharacteristic
1608C2#6106211yescharacteristic
1609C2#6107211yescharacteristic
1610C2#6201511yescharacteristic
1611C2#6208711yescharacteristic
1612C2#6231111yescharacteristic
1613C2#6233611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3319C2semidirect
2. C2×#3265C2semidirect
3. #44929C2semidirect
4. #42950C2semidirect
5. #31218C2semidirect
6. #31170C2semidirect
7. #31056C2semidirect
8. #31031C2semidirect
9. #30661C2semidirect
10. #30612C2semidirect
11. #30538C2semidirect
12. #30468C2semidirect
13. #28321C2semidirect
14. #26844C2semidirect
15. #26572C2semidirect
16. #26268C2semidirect
17. #25552C2semidirect
18. #25243C2semidirect
19. #25128C2semidirect
20. #25116C2semidirect
21. #25101C2semidirect
22. #24913C2semidirect
23. #24763C2semidirect
24. #24424C2semidirect
25. #24359C2semidirect
26. #24269C2semidirect
27. #24040C2semidirect
28. #23861C2semidirect
29. #23544C2semidirect
30. #22993C2semidirect
31. #22055C2semidirect
33. C23×SD16C22semidirect
36. C2×#546C22semidirect
37. C2×D42C22semidirect
41. C2×#489C22semidirect
42. C2×#485C22semidirect
43. C2×#485C22semidirect
44. C2×#482C22semidirect
45. C2×#474C22semidirect
47. C2×#468C22semidirect
48. C2×#468C22semidirect
51. C2×#460C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
56. C2×#448C22semidirect
57. C2×#450C22semidirect
62. C2×#447C22semidirect
63. C2×#447C22semidirect
64. C2×#442C22semidirect
65. C2×#440C22semidirect
66. C2×#435C22semidirect
67. C2×#435C22semidirect
68. C2×#435C22semidirect
69. C2×#424C22semidirect
70. C2×#418C22semidirect
71. C2×#416C22semidirect
72. C22×#102C22semidirect
84. #2620C22semidirect
86. #2491C22semidirect
87. #2485C22semidirect
89. #2452C22semidirect
90. #2448C22semidirect
91. #2447C22semidirect
92. #2445C22semidirect
93. #2436C22semidirect
95. #2435C22semidirect
97. #2423C22semidirect
98. #2422C22semidirect
99. #2417C22semidirect
104. #2409C22semidirect
107. #2408C22semidirect
110. D4×C22⋊C4C22semidirect
111. #2324C22semidirect
112. #2311C22semidirect
113. #2309C22semidirect
114. #2094C22semidirect
115. #2093C22semidirect
116. #2087C22semidirect
117. #2077C22semidirect
118. #2068C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2067C22semidirect
122. #2057C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2055C22semidirect
131. #2054C22semidirect
132. #2054C22semidirect
133. #2054C22semidirect
134. #2042C22semidirect
135. #2042C22semidirect
136. #2041C22semidirect
137. #2034C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2024C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
154. #1983C22semidirect
155. #1973C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1972C22semidirect
160. #1970C22semidirect
161. #1968C22semidirect
162. #1954C22semidirect
163. #1947C22semidirect
164. #1943C22semidirect
165. #1940C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1936C22semidirect
169. #1933C22semidirect
170. #1928C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1895C22semidirect
175. #1895C22semidirect
176. #1893C22semidirect
177. #1892C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1873C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
189. #1864C22semidirect
190. #1863C22semidirect
191. #1862C22semidirect
192. #1854C22semidirect
193. #1852C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
196. #1808C22semidirect
197. #1802C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1770C22semidirect
203. #1750C22semidirect
204. #1736C22semidirect
310. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33192
C2×#32652
#449292
#429502
#312182
#311702
#310562
#310312
#306612
#306122
#305382
#304682
#283212
#268442
#265722
#262682
#255522
#252432
#251282
#251162
#251012
#249132
#247632
#244242
#243592
#242692
#240402
#238612
#235442
#229932
#220552