Finite Group Databasebeta

← #6668701

Subgroups — #6668701

Order 512.

3316 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3003C211yesmaximal, characteristic, complemented
3#37668C211yesmaximal, characteristic, complemented
4#35222C211yesmaximal, characteristic, complemented
5#32881C211yesmaximal, characteristic, complemented
6#31000C211yesmaximal, characteristic, complemented
7#30992C211yesmaximal, characteristic, complemented
8#30543C211yesmaximal, characteristic, complemented
9#30527C211yesmaximal, characteristic, complemented
10#30464C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#30452C211yesmaximal, characteristic, complemented
14#29723C211yesmaximal, characteristic, complemented
15#29632C211yesmaximal, characteristic, complemented
16#27281C211yesmaximal, characteristic, complemented
17#27273C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25791C211yesmaximal, characteristic, complemented
20#25732C211yesmaximal, characteristic, complemented
21#25105C211yesmaximal, characteristic, complemented
22#25093C211yesmaximal, characteristic, complemented
23#24516C211yesmaximal, characteristic, complemented
24#24389C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#24372C211yesmaximal, characteristic, complemented
27#24218C211yesmaximal, characteristic, complemented
28#23945C211yesmaximal, characteristic, complemented
29#23923C211yesmaximal, characteristic, complemented
30#22559C211yesmaximal, characteristic, complemented
31#22056C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×#542C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40#3224—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#496C2211yescharacteristic, complemented
43C2×#495C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#460C2211yescharacteristic, complemented
51C2×#463C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#459C2211yescharacteristic, complemented
54C2×#459C2211yescharacteristic, complemented
55#3003—28no—
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#433C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic
77C2×#418C2211yescharacteristic
78C2×#407C2211yescharacteristic
79#2848C2211yescharacteristic
80#2846—21no—
81#2846—21no—
82#2697—21no—
83#2695—21no—
84#2687—21no—
85#2684—21no—
86#2625C2211yescharacteristic, complemented
87#2621C2211yescharacteristic, complemented
88#2613—21no—
89#2613—21no—
90#2492C2211yescharacteristic, complemented
91#2468—21no—
92#2450—21no—
93#2447—21no—
94#2439C2211yescharacteristic, complemented
95#2435C2211yescharacteristic
96#2435C2211yescharacteristic
97#2435C2211yescharacteristic
98#2435C2211yescharacteristic
99#2433C2211yescharacteristic
100#2433C2211yescharacteristic
101#2433C2211yescharacteristic
102#2433C2211yescharacteristic
103#2432C2211yescharacteristic, complemented
104#2429C2211yescharacteristic, complemented
105#2427C2211yescharacteristic, complemented
106#2420C2211yescharacteristic, complemented
107#2419—21no—
108#2408—21no—
109#2408—21no—
110#2408—21no—
111#2408—21no—
112#2362C2211yescharacteristic, complemented
113#2339C2211yescharacteristic, complemented
114#2324C2211yescharacteristic, complemented
115#2309C2211yescharacteristic
116#2309C2211yescharacteristic
117#2280C2211yescharacteristic
118#2073C2211yescharacteristic, complemented
119#2073C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2013C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1958C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1934C2211yescharacteristic, complemented
169#1934C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1818C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1779C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C26—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—24no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—42no—
213C23×D4—42no—
214C23×D4—42no—
215C23×D4—42no—
216C23×D4—42no—
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C22×Q16C2311yescharacteristic, complemented
231C22×Q16C2311yescharacteristic, complemented
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic, complemented
241C22×SD16C2311yescharacteristic, complemented
242C22×SD16C2311yescharacteristic, complemented
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic, complemented
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250#542—24no—
251#542—42no—
252#535—24no—
253#535—42no—
254#535—42no—
255#535—42no—
256C2×C4⋊Q8C2311yescharacteristic, complemented
257C2×C4⋊Q8C2311yescharacteristic, complemented
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#126—21no—
263C2×#124—21no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic, complemented
269#525—24no—
270#525—42no—
271#525—42no—
272#525—42no—
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×C4×Q8C2311yescharacteristic, complemented
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4C2311yescharacteristic, complemented
312C2×C4×D4C2311yescharacteristic, complemented
313C2×#117C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317#497—42no—
318#496—24no—
319#495—24no—
320#492—42no—
321#489—24no—
322#486—24no—
323#470—42no—
324#468—42no—
325#464—24no—
326#463—24no—
327#463—42no—
328#460—24no—
329#459—24no—
330#459—42no—
331#452—24no—
332#452—42no—
333#452—42no—
334#450—24no—
335#450—24no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#450—42no—
341#450—42no—
342#450—42no—
343#450—42no—
344#449—24no—
345#449—42no—
346#447—24no—
347#447—24no—
348#447—24no—
349#447D418yescomplemented
350#433—24no—
351C2×#107C2311yescharacteristic, complemented
352C2×#106C2311yescharacteristic, complemented
353C2×C4⋊C8C2311yescharacteristic, complemented
354C2×C4⋊C8C2311yescharacteristic, complemented
355C2×C4⋊C8C2311yescharacteristic, complemented
356C2×C4⋊C8C2311yescharacteristic, complemented
357#418—24no—
358#418—24no—
359C2×#103C2311yescharacteristic, complemented
360C2×#103C2311yescharacteristic, complemented
361C2×#103C2311yescharacteristic, complemented
362C2×#103C2311yescharacteristic, complemented
363C2×#103C2311yescharacteristic, complemented
364C2×#103C2311yescharacteristic, complemented
365C2×#103C2311yescharacteristic, complemented
366C2×#103C2311yescharacteristic, complemented
367C2×#103C2311yescharacteristic, complemented
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
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
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic, complemented
389C2×#102C2311yescharacteristic, complemented
390C2×#102C2311yescharacteristic, complemented
391C2×#102C2311yescharacteristic, complemented
392C2×#102C2311yescharacteristic, complemented
393C2×#102C2311yescharacteristic, complemented
394C2×#102C2311yescharacteristic, complemented
395#407—24no—
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic, complemented
407C2×#97C2311yescharacteristic, complemented
408C2×C4×C8C2311yescharacteristic, complemented
409C2×C4×C8C2311yescharacteristic, complemented
410#400—21no—
411#400—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#398—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#397—21no—
422#396—21no—
423#396—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#393—21no—
437#393—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#391—21no—
447#391—21no—
448#391C2311yescharacteristic, complemented
449#391C2311yescharacteristic, complemented
450#391C2311yescharacteristic, complemented
451#391C2311yescharacteristic, complemented
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic, complemented
466#389—21no—
467#389C2311yescharacteristic, complemented
468#389C2311yescharacteristic, complemented
469#389C2311yescharacteristic, complemented
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#387—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#382C2311yescharacteristic, complemented
489#381—21no—
490#381—21no—
491#381D411yescharacteristic
492#381D411yescharacteristic
493#380—21no—
494#380D411yescharacteristic
495#380D411yescharacteristic
496#380D411yescharacteristic
497#380D411yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#379—21no—
502#379—21no—
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379D411yescharacteristic
515#379D411yescharacteristic
516C4×C4⋊C4—21no—
517C4×C4⋊C4C2311yescharacteristic, complemented
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C2×#95—21no—
523#340C2311yescharacteristic, complemented
524#340C2311yescharacteristic, complemented
525#340C2311yescharacteristic, complemented
526#340C2311yescharacteristic, complemented
527#340C2311yescharacteristic, complemented
528#340C2311yescharacteristic, complemented
529#340C2311yescharacteristic, complemented
530#340C2311yescharacteristic, complemented
531#336C2311yescharacteristic, complemented
532#336C2311yescharacteristic, complemented
533#336C2311yescharacteristic, complemented
534#336C2311yescharacteristic, complemented
535#336C2311yescharacteristic, complemented
536#336C2311yescharacteristic, complemented
537#336C2311yescharacteristic, complemented
538#336C2311yescharacteristic, complemented
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C25—21no—
545C25—44no—
546C25—44no—
547C25—44no—
548C25—82no—
549C25—82no—
550C25—82no—
551C25—82no—
552C25C2×D411yescharacteristic
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C22×Q8—21no—
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—44no—
625C22×D4—44no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—416no—
633C22×D4—416no—
634C22×D4—44no—
635C22×D4—416no—
636C22×D4—416no—
637C22×D4C2×D414yes—
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4C2×D411yescharacteristic
655C23×C4C2×D411yescharacteristic
656C23×C4C2×D411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660AGL(1,ℤ/8)—416no—
661AGL(1,ℤ/8)—416no—
662C2×Q16—22no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8C2×D414yes—
715C2×D8C2×D414yes—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—22no—
720C2×M16—41no—
721C2×M16—41no—
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C4⋊Q8—22no—
731C4⋊Q8—41no—
732C4⋊Q8—41no—
733C4⋊Q8—41no—
734#127—22no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#126—44no—
743#124—22no—
744#124—22no—
745#124—22no—
746#124—22no—
747#124—22no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—44no—
754#123—44no—
755#123—44no—
756#123—44no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—44no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121C2×D414yes—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—82no—
791#120—82no—
792#120—82no—
793#120—82no—
794#120—82no—
795#120—82no—
796#120—82no—
797#120—82no—
798C4×Q8—22no—
799C4×Q8—41no—
800C4×D4—22no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—44no—
805C4×D4—44no—
806C4×D4—44no—
807C4×D4—44no—
808#117—22no—
809#117—22no—
810#117—22no—
811#117—41no—
812#117—41no—
813#117—41no—
814#117—41no—
815#117—41no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#107—41no—
908#106—41no—
909C4⋊C8—22no—
910C4⋊C8—22no—
911C4⋊C8—41no—
912C4⋊C8—41no—
913#103—22no—
914#103—22no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102C2×D414yes—
948#102C2×D414yes—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—41no—
957C22⋊C8—41no—
958C22⋊C8C2×D414yes—
959#97—22no—
960#97—41no—
961C4×C8—22no—
962C4×C8—41no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988C24—24no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—24no—
998C24—21no—
999C24—41no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—432no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—816no—
1045C24—816no—
1046C24—816no—
1047C24—816no—
1048C24—816no—
1049C24—816no—
1050C24C22×D411yescharacteristic
1051C24C22×D411yescharacteristic
1052C24C22×D411yescharacteristic
1053#41—44no—
1054#41—44no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—42no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—432no—
1160C2×D4—432no—
1161C2×D4—432no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4C22×D412yes—
1201C2×D4C22×D412yes—
1202C2×D4C22×D412yes—
1203C2×D4H(5,𝔽2)12yes—
1204C2×D4H(5,𝔽2)12yes—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—21no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D412yes—
1266C22×C4H(5,𝔽2)12yes—
1267C22×C4H(5,𝔽2)12yes—
1268C22×C4H(5,𝔽2)12yes—
1269C22×C4C2511yescharacteristic
1270Q16—82no—
1271Q16—82no—
1272SD16—44no—
1273SD16—44no—
1274SD16—44no—
1275SD16—44no—
1276SD16—82no—
1277SD16—82no—
1278SD16—82no—
1279SD16—82no—
1280SD16—82no—
1281SD16—82no—
1282SD16—82no—
1283D8—44no—
1284D8—44no—
1285D8—44no—
1286D8—44no—
1287D8—82no—
1288M16—44no—
1289M16—44no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8C22×D412yes—
1313C2×C8C22×D412yes—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4—81no—
1344C4⋊C4—81no—
1345C4⋊C4C22×D412yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—24no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—81no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—48no—
1446C23—48no—
1447C23—48no—
1448C23—48no—
1449C23—44no—
1450C23—48no—
1451C23—48no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—84no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—8128no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23#53512yes—
1527C23D4212yes—
1528C23#57712yes—
1529C23C23×D411yescharacteristic
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541Q8—41no—
1542Q8—162no—
1543D4—22no—
1544D4—22no—
1545D4—22no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—22no—
1550D4—22no—
1551D4—22no—
1552D4—22no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—48no—
1557D4—48no—
1558D4—48no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—162no—
1580D4—162no—
1581D4—162no—
1582D4—162no—
1583D4—162no—
1584D4—162no—
1585D4—162no—
1586D4—162no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—162no—
1666C2×C4—162no—
1667C2×C4#53512yes—
1668C2×C4D4212yes—
1669C2×C4C23×D411yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4C2×H(5,𝔽2)11yescharacteristic
1675C8—22no—
1676C8—22no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—416no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—816no—
1721C22—816no—
1722C22—816no—
1723C22—816no—
1724C22—816no—
1725C22—816no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22C2×#53511yescharacteristic
1754C22C2×D4211yescharacteristic
1755C22#348411yescharacteristic
1756C22C2×#57711yescharacteristic
1757C22#358511yescharacteristic
1758C22#358511yescharacteristic
1759C22#358511yescharacteristic
1760C4—22no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4—81no—
1781C4#348411yescharacteristic
1782C4#348411yescharacteristic
1783C4#353211yescharacteristic
1784C4#353211yescharacteristic
1785C2—42no—
1786C2—42no—
1787C2—42no—
1788C2—82no—
1789C2—82no—
1790C2—82no—
1791C2—82no—
1792C2—82no—
1793C2—161no—
1794C2#3764511yescharacteristic
1795C2#6080611yescharacteristic
1796C2#6081211yescharacteristic
1797C2#6105811yescharacteristic
1798C2#6107111yescharacteristic
1799C2#6161011yescharacteristic
1800C2#6164411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3224C2semidirect
2. C2×#3003C2semidirect
3. #37668C2semidirect
4. #35222C2semidirect
5. #32881C2semidirect
6. #31000C2semidirect
7. #30992C2semidirect
8. #30543C2semidirect
9. #30527C2semidirect
10. #30464C2semidirect
11. #30460C2semidirect
12. #30456C2semidirect
13. #30452C2semidirect
14. #29723C2semidirect
15. #29632C2semidirect
16. #27281C2semidirect
17. #27273C2semidirect
18. #25796C2semidirect
19. #25791C2semidirect
20. #25732C2semidirect
21. #25105C2semidirect
22. #25093C2semidirect
23. #24516C2semidirect
24. #24389C2semidirect
25. #24373C2semidirect
26. #24372C2semidirect
27. #24218C2semidirect
28. #23945C2semidirect
29. #23923C2semidirect
30. #22559C2semidirect
31. #22056C2semidirect
35. C2×#542C22semidirect
41. C2×#497C22semidirect
42. C2×#496C22semidirect
43. C2×#495C22semidirect
44. C2×#492C22semidirect
45. C2×#489C22semidirect
46. C2×#486C22semidirect
47. C2×#470C22semidirect
48. C2×#468C22semidirect
49. C2×#464C22semidirect
50. C2×#460C22semidirect
51. C2×#463C22semidirect
52. C2×#463C22semidirect
53. C2×#459C22semidirect
54. C2×#459C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
75. C2×#433C22semidirect
86. #2625C22semidirect
87. #2621C22semidirect
90. #2492C22semidirect
94. #2439C22semidirect
103. #2432C22semidirect
104. #2429C22semidirect
105. #2427C22semidirect
106. #2420C22semidirect
112. #2362C22semidirect
113. #2339C22semidirect
114. #2324C22semidirect
118. #2073C22semidirect
119. #2073C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2036C22semidirect
135. #2034C22semidirect
136. #2023C22semidirect
137. #2023C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2013C22semidirect
147. #2013C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2011C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1970C22semidirect
163. #1968C22semidirect
164. #1961C22semidirect
165. #1958C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1934C22semidirect
169. #1934C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1873C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1851C22semidirect
192. #1818C22semidirect
193. #1798C22semidirect
194. #1788C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1750C22semidirect
230. C22×Q16C23semidirect
231. C22×Q16C23semidirect
240. C22×SD16C23semidirect
241. C22×SD16C23semidirect
242. C22×SD16C23semidirect
247. C22×D8C23semidirect
256. C2×C4⋊Q8C23semidirect
257. C2×C4⋊Q8C23semidirect
268. C2×#124C23semidirect
306. C2×C4×Q8C23semidirect
311. C2×C4×D4C23semidirect
312. C2×C4×D4C23semidirect
349. #447D4semidirect
351. C2×#107C23semidirect
352. C2×#106C23semidirect
353. C2×C4⋊C8C23semidirect
354. C2×C4⋊C8C23semidirect
355. C2×C4⋊C8C23semidirect
356. C2×C4⋊C8C23semidirect
359. C2×#103C23semidirect
360. C2×#103C23semidirect
361. C2×#103C23semidirect
362. C2×#103C23semidirect
363. C2×#103C23semidirect
364. C2×#103C23semidirect
365. C2×#103C23semidirect
366. C2×#103C23semidirect
367. C2×#103C23semidirect
388. C2×#102C23semidirect
389. C2×#102C23semidirect
390. C2×#102C23semidirect
391. C2×#102C23semidirect
392. C2×#102C23semidirect
393. C2×#102C23semidirect
394. C2×#102C23semidirect
406. C2×#97C23semidirect
407. C2×#97C23semidirect
408. C2×C4×C8C23semidirect
409. C2×C4×C8C23semidirect
448. #391C23semidirect
449. #391C23semidirect
450. #391C23semidirect
451. #391C23semidirect
465. #390C23semidirect
467. #389C23semidirect
468. #389C23semidirect
469. #389C23semidirect
488. #382C23semidirect
517. C4×C4⋊C4C23semidirect
523. #340C23semidirect
524. #340C23semidirect
525. #340C23semidirect
526. #340C23semidirect
527. #340C23semidirect
528. #340C23semidirect
529. #340C23semidirect
530. #340C23semidirect
531. #336C23semidirect
532. #336C23semidirect
533. #336C23semidirect
534. #336C23semidirect
535. #336C23semidirect
536. #336C23semidirect
537. #336C23semidirect
538. #336C23semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#30032
#376682
#352222
#328812
#310002
#309922
#305432
#305272
#304642
#304602
#304562
#304522
#297232
#296322
#272812
#272732
#257962
#257912
#257322
#251052
#250932
#245162
#243892
#243732
#243722
#242182
#239452
#239232
#225592
#220562