Finite Group Databasebeta

← #6516954

Subgroups — #6516954

Order 512.

3716 conjugacy classes of subgroups.

The subgroup lattice has 1911 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3221C211yesmaximal, characteristic, complemented
3C2×#3154C211yesmaximal, characteristic, complemented
4#37379C211yesmaximal, characteristic, complemented
5#25769C211yesmaximal, characteristic, complemented
6#25763C211yesmaximal, characteristic, complemented
7#25762C211yesmaximal, characteristic, complemented
8#25753C211yesmaximal, characteristic, complemented
9#25736C211yesmaximal, characteristic, complemented
10#25732C211yesmaximal, characteristic, complemented
11#25725C211yesmaximal, characteristic, complemented
12#25717C211yesmaximal, characteristic, complemented
13#25641C211yesmaximal, characteristic, complemented
14#25637C211yesmaximal, characteristic, complemented
15#25635C211yesmaximal, characteristic, complemented
16#25627C211yesmaximal, characteristic, complemented
17#25611C211yesmaximal, characteristic, complemented
18#25606C211yesmaximal, characteristic, complemented
19#25604C211yesmaximal, characteristic, complemented
20#25601C211yesmaximal, characteristic, complemented
21#23870C211yesmaximal, characteristic, complemented
22#23862C211yesmaximal, characteristic, complemented
23#23860C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23850C211yesmaximal, characteristic, complemented
27#23849C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#21813C211yesmaximal, characteristic, complemented
30#21414C211yesmaximal, characteristic, complemented
31#21381C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36#3543—28no—
37#3543—28no—
38C2×#560—21no—
39C2×#560—21no—
40C2×#559C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×D42—21no—
47C2×D42C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×D42C2211yescharacteristic
50C2×#540—21no—
51C2×#540C2211yescharacteristic
52C2×#540C2211yescharacteristic
53C2×#536C2211yescharacteristic, complemented
54C2×#535—21no—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#534—21no—
58C2×#534—21no—
59C22×#127C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic
62#3221—28no—
63#3154—28no—
64C2×#497C2211yescharacteristic, complemented
65C2×#497C2211yescharacteristic, complemented
66C2×#496C2211yescharacteristic, complemented
67C2×#496C2211yescharacteristic, complemented
68C2×#496C2211yescharacteristic, complemented
69C2×#495C2211yescharacteristic, complemented
70C2×#495C2211yescharacteristic, complemented
71C2×#492C2211yescharacteristic, complemented
72C2×#492C2211yescharacteristic, complemented
73C2×#492C2211yescharacteristic, complemented
74C2×#491C2211yescharacteristic, complemented
75C2×#488C2211yescharacteristic, complemented
76C2×#463C2211yescharacteristic, complemented
77C2×#463C2211yescharacteristic, complemented
78C2×#461C2211yescharacteristic, complemented
79C2×#461C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#452C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#449C2211yescharacteristic, complemented
85C2×#449C2211yescharacteristic, complemented
86C2×#448C2211yescharacteristic, complemented
87C2×#448C2211yescharacteristic, complemented
88C2×#450C2211yescharacteristic, complemented
89C2×#450C2211yescharacteristic, complemented
90C2×#450C2211yescharacteristic, complemented
91C2×#450C2211yescharacteristic, complemented
92C2×#450C2211yescharacteristic, complemented
93C2×#450C2211yescharacteristic, complemented
94C2×#450C2211yescharacteristic, complemented
95C2×#450C2211yescharacteristic, complemented
96C2×#450C2211yescharacteristic, complemented
97C2×#447C2211yescharacteristic, complemented
98C2×#447C2211yescharacteristic, complemented
99C2×#447C2211yescharacteristic, complemented
100C2×#433C2211yescharacteristic, complemented
101C2×#405C2211yescharacteristic, complemented
102#2857C2211yescharacteristic, complemented
103#2850C2211yescharacteristic, complemented
104#2723—21no—
105#2720—21no—
106#2718—21no—
107#2710—21no—
108#2706—21no—
109#2703—21no—
110#2696—21no—
111#2692—21no—
112#2621C2211yescharacteristic, complemented
113#2620C2211yescharacteristic, complemented
114#2592C2211yescharacteristic, complemented
115#2568C2211yescharacteristic, complemented
116#2542C2211yescharacteristic, complemented
117#2540C2211yescharacteristic, complemented
118#2409C2211yescharacteristic, complemented
119#2409C2211yescharacteristic, complemented
120#2407C2211yescharacteristic, complemented
121#2407C2211yescharacteristic, complemented
122#2314C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2014C2211yescharacteristic, complemented
130#2014C2211yescharacteristic, complemented
131#2014C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1992C2211yescharacteristic, complemented
156#1991C2211yescharacteristic, complemented
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1961C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1959C2211yescharacteristic, complemented
166#1958C2211yescharacteristic, complemented
167#1957C2211yescharacteristic, complemented
168#1957C2211yescharacteristic, complemented
169#1955C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1749C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4—21no—
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C2×#137—24no—
222C2×#137—42no—
223C2×#137—42no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×#135—24no—
228C2×#135—42no—
229C2×#135—42no—
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×SD16—24no—
234C22×SD16—42no—
235C22×SD16—42no—
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×M16C2311yescharacteristic
258C23×C8C2311yescharacteristic
259#560—216no—
260#560—216no—
261#559—24no—
262#559—24no—
263#550—24no—
264#550—24no—
265#550—24no—
266#550—24no—
267#546—216no—
268#546—24no—
269#546—24no—
270#546—24no—
271#546—24no—
272D42—216no—
273D42—24no—
274D42—24no—
275D42—24no—
276D42—24no—
277D42—24no—
278D42—24no—
279#540—216no—
280#540—24no—
281#540—24no—
282#540—24no—
283#540D418yescomplemented
284#536—24no—
285#536—24no—
286#535—216no—
287#535—24no—
288#535—24no—
289#535—24no—
290#535D418yescomplemented
291#534—216no—
292#534—216no—
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2311yescharacteristic
295C2×#127—21no—
296C2×#127—24no—
297C2×#127—24no—
298C2×#127—21no—
299C2×#127—21no—
300C2×#127C2311yescharacteristic
301C2×#127C2311yescharacteristic
302C2×#127C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2311yescharacteristic
305C2×#127C2311yescharacteristic
306#529—24no—
307#529—24no—
308#529—24no—
309#529—24no—
310C2×#126—21no—
311C2×#126D411yescharacteristic
312C2×#126D411yescharacteristic
313C2×#125D411yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#124—21no—
316C2×#124D411yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123—21no—
327C2×#123—21no—
328C2×#123—21no—
329C2×#123—21no—
330C2×#123—21no—
331C2×#123—21no—
332C2×#123—21no—
333C2×#123D411yescharacteristic
334C2×#123D411yescharacteristic
335C2×C22⋊Q8—21no—
336C2×C22⋊Q8—21no—
337C2×C22⋊Q8D411yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×#121—21no—
346C2×#121—21no—
347C2×#121—21no—
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—21no—
354C2×#121—21no—
355C2×#121—21no—
356C2×#121—21no—
357C2×#121—21no—
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—21no—
361C2×#121—21no—
362C2×#121—21no—
363C2×#121D411yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×#120—21no—
376C2×#120—21no—
377C2×#120—21no—
378C2×#120—21no—
379C2×#120—21no—
380C2×#120—21no—
381C2×#120—21no—
382C2×#120—21no—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×D4—21no—
386C2×C4×D4—21no—
387C2×C4×D4—21no—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×#117—21no—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C22×C22⋊C4—21no—
400C22×C22⋊C4—21no—
401C22×C42C2311yescharacteristic
402#497—24no—
403#497—24no—
404#496—24no—
405#496—24no—
406#496—24no—
407#495—24no—
408#495—24no—
409#492—24no—
410#492—24no—
411#492—24no—
412#491—24no—
413#488—24no—
414#463—24no—
415#463—24no—
416#461—24no—
417#461—24no—
418#452—42no—
419#452—42no—
420#452—42no—
421#450—42no—
422#450—42no—
423#450—42no—
424#450—42no—
425#450—42no—
426#450—42no—
427#450—42no—
428#450—42no—
429#450—42no—
430#449—24no—
431#449—24no—
432#449—42no—
433#448—24no—
434#448—24no—
435#447—42no—
436#447—42no—
437#447—42no—
438#433—24no—
439C2×C4⋊C8C2311yescharacteristic
440C2×C4⋊C8C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483#405—24no—
484C2×#97C2311yescharacteristic
485C2×#97C2311yescharacteristic
486C2×#97C2311yescharacteristic
487C2×C4×C8C2311yescharacteristic
488C2×C4×C8C2311yescharacteristic
489C2×C4×C8C2311yescharacteristic
490#400—21no—
491#400—21no—
492#399—21no—
493#399—21no—
494#399—21no—
495#398—21no—
496#398—21no—
497#397—21no—
498#397—21no—
499#397—21no—
500#396—21no—
501#396—21no—
502#395—21no—
503#395—21no—
504#394—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#393—21no—
509#393—21no—
510#393—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#391—21no—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#390—21no—
522#390—21no—
523#390—21no—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#389—21no—
527#389—21no—
528#388—21no—
529#388—21no—
530#388—21no—
531#388—21no—
532#388—21no—
533#388—21no—
534#387—21no—
535#387—21no—
536#386—21no—
537#386—21no—
538#386—21no—
539#386—21no—
540#386—21no—
541#386—21no—
542#385—21no—
543#385—21no—
544#385—21no—
545#385—21no—
546#384—21no—
547#384C2311yescharacteristic
548#382—21no—
549#382C2311yescharacteristic
550#380—21no—
551#380—21no—
552#380C2311yescharacteristic
553#380C2311yescharacteristic
554C4×C4⋊C4C2311yescharacteristic
555C4×C4⋊C4C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#340C2311yescharacteristic
563#340C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566#336C2311yescharacteristic
567#336C2311yescharacteristic
568#336C2311yescharacteristic
569#336C2311yescharacteristic
570#336C2311yescharacteristic
571#336C2311yescharacteristic
572C25—21no—
573C25—21no—
574C25—21no—
575C25—21no—
576C2×#41—28no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—82no—
595C2×#41—82no—
596C2×#41C2×D414yes—
597C22×Q8—21no—
598C22×Q8—22no—
599C22×Q8—22no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8C2×D411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×Q8C2411yescharacteristic
609C22×D4—21no—
610C22×D4—28no—
611C22×D4—28no—
612C22×D4—28no—
613C22×D4—28no—
614C22×D4—28no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—22no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4—41no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—82no—
664C22×D4—82no—
665C22×D4—82no—
666C22×D4—82no—
667C22×D4—82no—
668C22×D4—82no—
669C22×D4—82no—
670C22×D4—82no—
671C22×D4—82no—
672C22×D4—82no—
673C22×D4C2×D411yescharacteristic
674C22×D4C2×D411yescharacteristic
675C22×D4C2×D411yescharacteristic
676C22×D4C2×D414yes—
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C22×D4C2411yescharacteristic
681C22×D4C2411yescharacteristic
682C22×D4C2411yescharacteristic
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4C2×D411yescharacteristic
693C23×C4C2×D411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697#137—416no—
698AGL(1,ℤ/8)—416no—
699#135—416no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
704C2×Q16—22no—
705C2×Q16—22no—
706C2×Q16—41no—
707C2×Q16—41no—
708C2×Q16—41no—
709C2×SD16—22no—
710C2×SD16—22no—
711C2×SD16—22no—
712C2×SD16—22no—
713C2×SD16—22no—
714C2×SD16—22no—
715C2×SD16—22no—
716C2×SD16—22no—
717C2×SD16—22no—
718C2×SD16—22no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—41no—
736C2×SD16—41no—
737C2×SD16—41no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—416no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×SD16—41no—
754C2×SD16—41no—
755C2×SD16—41no—
756C2×SD16—41no—
757C2×SD16—41no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×M16—22no—
774C2×M16—22no—
775C2×M16—22no—
776C22×C8—22no—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8C2411yescharacteristic
780C22×C8C2411yescharacteristic
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C4⋊Q8—22no—
788C4⋊Q8—22no—
789C4⋊Q8—22no—
790C4⋊Q8—22no—
791#127—28no—
792#127—28no—
793#127—28no—
794#127—22no—
795#127—22no—
796#127—22no—
797#127—22no—
798#127—22no—
799#127—22no—
800#127—22no—
801#127—22no—
802#127—22no—
803#127C2×D414yes—
804#127C2×D414yes—
805#127C2×D414yes—
806#126—28no—
807#126—24no—
808#126—24no—
809#125—24no—
810#125—22no—
811#125C2×D414yes—
812#124—28no—
813#124—22no—
814#124—22no—
815#124—24no—
816#124—22no—
817#124—22no—
818#124—22no—
819#124—22no—
820#124—22no—
821#124—22no—
822#124C2×D414yes—
823#124C2×D414yes—
824#123—28no—
825#123—28no—
826#123—28no—
827#123—28no—
828#123—28no—
829#123—28no—
830#123—28no—
831#123—28no—
832#123—28no—
833#123—24no—
834#123—24no—
835#123—44no—
836#123—44no—
837C22⋊Q8—22no—
838C22⋊Q8—24no—
839C22⋊Q8—22no—
840C22⋊Q8—44no—
841C22⋊Q8—44no—
842C22⋊Q8—41no—
843C22⋊Q8—41no—
844C22⋊Q8—41no—
845C22⋊Q8—41no—
846C22⋊Q8—41no—
847C22⋊Q8—41no—
848C22⋊Q8—41no—
849C22⋊Q8—41no—
850C22⋊Q8—41no—
851C22⋊Q8—41no—
852C22⋊Q8—41no—
853C22⋊Q8—41no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121—28no—
860#121—28no—
861#121—28no—
862#121—28no—
863#121—28no—
864#121—28no—
865#121—28no—
866#121—28no—
867#121—28no—
868#121—22no—
869#121—22no—
870#121—22no—
871#121—22no—
872#121—22no—
873#121—28no—
874#121—28no—
875#121—22no—
876#121—22no—
877#121—22no—
878#121—28no—
879#121—28no—
880#121—24no—
881#121—41no—
882#121—41no—
883#121—41no—
884#121—41no—
885#121C2×D414yes—
886#121C2×D414yes—
887#120—28no—
888#120—28no—
889#120—28no—
890#120—28no—
891#120—28no—
892#120—28no—
893#120—28no—
894#120—28no—
895#120—28no—
896#120—28no—
897#120—28no—
898#120—28no—
899C4×Q8—22no—
900C4×Q8—22no—
901C4×Q8—22no—
902C4×Q8—22no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—22no—
907C4×D4—22no—
908C4×D4—22no—
909C4×D4—22no—
910C4×D4—22no—
911C4×D4—22no—
912C4×D4—22no—
913C4×D4—22no—
914C4×D4—22no—
915C4×D4—22no—
916C4×D4—22no—
917C4×D4—22no—
918C4×D4—22no—
919C4×D4—22no—
920C4×D4C2×D414yes—
921C4×D4C2×D414yes—
922#117—28no—
923#117—22no—
924#117—22no—
925#117C2×D414yes—
926#117C2×D414yes—
927C2×C4⋊C4—21no—
928C2×C4⋊C4—21no—
929C2×C4⋊C4—21no—
930C2×C4⋊C4—21no—
931C2×C4⋊C4—21no—
932C2×C4⋊C4—21no—
933C2×C4⋊C4—21no—
934C2×C4⋊C4—21no—
935C2×C4⋊C4—21no—
936C2×C4⋊C4—21no—
937C2×C4⋊C4—21no—
938C2×C4⋊C4—21no—
939C2×C4⋊C4—21no—
940C2×C4⋊C4—21no—
941C2×C4⋊C4—21no—
942C2×C4⋊C4—21no—
943C2×C4⋊C4C2×D411yescharacteristic
944C2×C4⋊C4C2×D411yescharacteristic
945C2×C4⋊C4C2×D411yescharacteristic
946C2×C4⋊C4C2×D411yescharacteristic
947C2×C4⋊C4C2×D411yescharacteristic
948C2×C4⋊C4C2×D411yescharacteristic
949C2×C4⋊C4C2×D411yescharacteristic
950C2×C4⋊C4C2×D411yescharacteristic
951C2×C4⋊C4C2×D411yescharacteristic
952C2×C4⋊C4C2×D411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C22⋊C4—28no—
960C2×C22⋊C4—28no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
981C2×C22⋊C4—21no—
982C2×C22⋊C4—21no—
983C2×C22⋊C4—21no—
984C2×C22⋊C4—21no—
985C2×C22⋊C4—21no—
986C2×C22⋊C4—21no—
987C2×C22⋊C4—21no—
988C2×C22⋊C4—21no—
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—21no—
993C2×C22⋊C4—21no—
994C2×C22⋊C4—21no—
995C2×C22⋊C4—21no—
996C2×C22⋊C4C2×D411yescharacteristic
997C2×C22⋊C4C2×D411yescharacteristic
998C2×C22⋊C4C2×D411yescharacteristic
999C2×C22⋊C4C2×D411yescharacteristic
1000C2×C22⋊C4C2×D411yescharacteristic
1001C2×C22⋊C4C2×D411yescharacteristic
1002C2×C22⋊C4C2×D411yescharacteristic
1003C2×C22⋊C4C2×D411yescharacteristic
1004C2×C22⋊C4C2×D411yescharacteristic
1005C2×C22⋊C4C2×D411yescharacteristic
1006C2×C42—21no—
1007C2×C42—22no—
1008C2×C42—22no—
1009C2×C42—21no—
1010C2×C42—21no—
1011C2×C42C2×D411yescharacteristic
1012C2×C42C2×D411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C4⋊C8—22no—
1018C4⋊C8—22no—
1019#103—22no—
1020#103—22no—
1021#103—22no—
1022#103—22no—
1023#103—22no—
1024#103—22no—
1025#103—41no—
1026#103—41no—
1027#103—41no—
1028#103—41no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—22no—
1034#102—22no—
1035#102—22no—
1036#102—22no—
1037#102—22no—
1038#102—22no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044#102—41no—
1045#102—41no—
1046#102—41no—
1047#102—41no—
1048#102—41no—
1049#102—41no—
1050#102—41no—
1051C22⋊C8—22no—
1052C22⋊C8—22no—
1053C22⋊C8—22no—
1054C22⋊C8—22no—
1055C22⋊C8—22no—
1056C22⋊C8—22no—
1057C22⋊C8—22no—
1058C22⋊C8—22no—
1059C22⋊C8—22no—
1060C22⋊C8—22no—
1061#97—22no—
1062#97—22no—
1063#97—22no—
1064C4×C8—22no—
1065C4×C8—22no—
1066C4×C8—22no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070#95—21no—
1071#95—21no—
1072#95—21no—
1073#95—21no—
1074#95—21no—
1075#95—21no—
1076#95—21no—
1077#95—21no—
1078#95—21no—
1079#95—21no—
1080#95—21no—
1081#95—21no—
1082#95—21no—
1083#95—21no—
1084#95—21no—
1085C24—24no—
1086C24—24no—
1087C24—24no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—21no—
1093C24—24no—
1094C24—21no—
1095C24—42no—
1096C24—42no—
1097C24—42no—
1098C24—42no—
1099C24—81no—
1100C24—81no—
1101C24—81no—
1102C24—81no—
1103C24—81no—
1104C24—81no—
1105C24—81no—
1106C24—81no—
1107C24—81no—
1108C24—81no—
1109C24—81no—
1110C24—81no—
1111C24—81no—
1112C24—81no—
1113C24—81no—
1114C24—81no—
1115C24—81no—
1116C24—81no—
1117C24—81no—
1118C24—81no—
1119C24C22×D411yescharacteristic
1120C24C22×D411yescharacteristic
1121C24C22×D411yescharacteristic
1122#41—44no—
1123#41—44no—
1124#41—44no—
1125#41—44no—
1126#41—82no—
1127#41—82no—
1128#41—82no—
1129#41—82no—
1130#41—82no—
1131#41—82no—
1132#41—82no—
1133#41—82no—
1134#41—816no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—21no—
1138C2×Q8—21no—
1139C2×Q8—21no—
1140C2×Q8—21no—
1141C2×Q8—21no—
1142C2×Q8—21no—
1143C2×Q8—21no—
1144C2×Q8—21no—
1145C2×Q8—21no—
1146C2×Q8—21no—
1147C2×Q8—21no—
1148C2×Q8—21no—
1149C2×Q8—21no—
1150C2×Q8—21no—
1151C2×Q8—21no—
1152C2×Q8—21no—
1153C2×Q8—21no—
1154C2×Q8—21no—
1155C2×Q8—21no—
1156C2×Q8—21no—
1157C2×Q8—21no—
1158C2×Q8—21no—
1159C2×Q8—21no—
1160C2×Q8—41no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8—81no—
1165C2×Q8—81no—
1166C2×Q8—82no—
1167C2×Q8—82no—
1168C2×Q8C22×D412yes—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—21no—
1199C2×D4—21no—
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—21no—
1203C2×D4—21no—
1204C2×D4—21no—
1205C2×D4—21no—
1206C2×D4—21no—
1207C2×D4—21no—
1208C2×D4—21no—
1209C2×D4—21no—
1210C2×D4—21no—
1211C2×D4—21no—
1212C2×D4—21no—
1213C2×D4—21no—
1214C2×D4—21no—
1215C2×D4—21no—
1216C2×D4—21no—
1217C2×D4—21no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—21no—
1221C2×D4—21no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—82no—
1273C2×D4—82no—
1274C2×D4—82no—
1275C2×D4—82no—
1276C2×D4—82no—
1277C2×D4—82no—
1278C2×D4—82no—
1279C2×D4—82no—
1280C2×D4—82no—
1281C2×D4—82no—
1282C2×D4—82no—
1283C2×D4—82no—
1284C2×D4—816no—
1285C2×D4—816no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—81no—
1299C2×D4—81no—
1300C2×D4—816no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—816no—
1307C2×D4—816no—
1308C2×D4C22×D412yes—
1309C2×D4C22×D412yes—
1310C2×D4C22×D412yes—
1311C2×D4C22×D412yes—
1312C2×D4C22×D412yes—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4—81no—
1360C22×C4—81no—
1361C22×C4—81no—
1362C22×C4—81no—
1363C22×C4—81no—
1364C22×C4—81no—
1365C22×C4—81no—
1366C22×C4—81no—
1367C22×C4—81no—
1368C22×C4—81no—
1369C22×C4—81no—
1370C22×C4—81no—
1371C22×C4—81no—
1372C22×C4C22×D411yescharacteristic
1373C22×C4C22×D411yescharacteristic
1374C22×C4C22×D411yescharacteristic
1375C22×C4C22×D411yescharacteristic
1376C22×C4C22×D411yescharacteristic
1377C22×C4C22×D411yescharacteristic
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D411yescharacteristic
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D411yescharacteristic
1382C22×C4C22×D412yes—
1383C22×C4C22×D412yes—
1384C22×C4C22×D411yescharacteristic
1385C22×C4C2511yescharacteristic
1386Q16—44no—
1387Q16—44no—
1388Q16—44no—
1389SD16—44no—
1390SD16—44no—
1391SD16—44no—
1392SD16—44no—
1393SD16—44no—
1394SD16—44no—
1395SD16—44no—
1396SD16—44no—
1397SD16—44no—
1398SD16—44no—
1399SD16—82no—
1400SD16—82no—
1401SD16—82no—
1402SD16—82no—
1403SD16—82no—
1404SD16—82no—
1405D8—44no—
1406D8—44no—
1407D8—44no—
1408D8—82no—
1409D8—82no—
1410M16—28no—
1411C2×C8—28no—
1412C2×C8—21no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—21no—
1431C2×C8—21no—
1432C2×C8H(5,𝔽2)12yes—
1433C2×C8H(5,𝔽2)12yes—
1434C2×C8H(5,𝔽2)12yes—
1435C2×C8H(5,𝔽2)12yes—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—81no—
1463C4⋊C4—81no—
1464C4⋊C4—81no—
1465C4⋊C4—81no—
1466C4⋊C4—81no—
1467C4⋊C4—81no—
1468C4⋊C4—81no—
1469C4⋊C4—81no—
1470C4⋊C4#12014yes—
1471C4⋊C4#12014yes—
1472C4⋊C4C22×D412yes—
1473C4⋊C4C22×D412yes—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—81no—
1505C22⋊C4—81no—
1506C22⋊C4—81no—
1507C22⋊C4—81no—
1508C22⋊C4—81no—
1509C22⋊C4—81no—
1510C22⋊C4—81no—
1511C22⋊C4—81no—
1512C22⋊C4—81no—
1513C22⋊C4—81no—
1514C22⋊C4—81no—
1515C22⋊C4—81no—
1516C22⋊C4—81no—
1517C22⋊C4#12014yes—
1518C22⋊C4#12014yes—
1519C42—24no—
1520C42—22no—
1521C42—22no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—81no—
1527C42—81no—
1528C42C22×D412yes—
1529C42C22×D412yes—
1530C42C22×D412yes—
1531C42C22×D412yes—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—48no—
1557C23—48no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23—162no—
1613C23—162no—
1614C23—162no—
1615C23—162no—
1616C23—162no—
1617C23—162no—
1618C23—162no—
1619C23—162no—
1620C23—162no—
1621C23C2×#12012yes—
1622C23#57712yes—
1623C23C23×D411yescharacteristic
1624Q8—22no—
1625Q8—22no—
1626Q8—44no—
1627Q8—41no—
1628Q8—41no—
1629Q8—41no—
1630Q8—41no—
1631Q8—41no—
1632Q8—41no—
1633Q8—41no—
1634Q8—41no—
1635Q8—41no—
1636Q8—41no—
1637Q8—41no—
1638Q8—41no—
1639Q8—41no—
1640Q8—41no—
1641Q8—84no—
1642D4—22no—
1643D4—22no—
1644D4—22no—
1645D4—22no—
1646D4—22no—
1647D4—22no—
1648D4—22no—
1649D4—22no—
1650D4—22no—
1651D4—22no—
1652D4—44no—
1653D4—44no—
1654D4—48no—
1655D4—48no—
1656D4—44no—
1657D4—48no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—41no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—41no—
1671D4—41no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—162no—
1694D4—162no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4C2×#12012yes—
1776C2×C4C2×#12012yes—
1777C2×C4C2×#12012yes—
1778C2×C4C2×#12012yes—
1779C2×C4C2×#12012yes—
1780C2×C4#57712yes—
1781C2×C4C23×D411yescharacteristic
1782C2×C4C23×D411yescharacteristic
1783C2×C4C2×H(5,𝔽2)11yescharacteristic
1784C2×C4C2×H(5,𝔽2)11yescharacteristic
1785C2×C4C2×H(5,𝔽2)11yescharacteristic
1786C2×C4C2×H(5,𝔽2)11yescharacteristic
1787C8—22no—
1788C8—22no—
1789C8—22no—
1790C8—22no—
1791C8—41no—
1792C8—41no—
1793C8—41no—
1794C8—41no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—168no—
1859C22—168no—
1860C22—168no—
1861C22—168no—
1862C22C22×#12011yescharacteristic
1863C22#349811yescharacteristic
1864C22#349811yescharacteristic
1865C22C2×#57711yescharacteristic
1866C22C2×#57711yescharacteristic
1867C22#358511yescharacteristic
1868C22#358511yescharacteristic
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—41no—
1876C4—41no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—42no—
1882C4—42no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4—81no—
1888C4—81no—
1889C4—81no—
1890C4#348411yescharacteristic
1891C4#348411yescharacteristic
1892C4#349811yescharacteristic
1893C4#349811yescharacteristic
1894C2—42no—
1895C2—42no—
1896C2—81no—
1897C2—82no—
1898C2—82no—
1899C2—82no—
1900C2—82no—
1901C2—82no—
1902C2—161no—
1903C2#3552711yescharacteristic
1904C2#6037311yescharacteristic
1905C2#6037311yescharacteristic
1906C2#6243011yescharacteristic
1907C2#6244111yescharacteristic
1908C2#6245711yescharacteristic
1909C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3543C2semidirect
2. C2×#3221C2semidirect
3. C2×#3154C2semidirect
4. #37379C2semidirect
5. #25769C2semidirect
6. #25763C2semidirect
7. #25762C2semidirect
8. #25753C2semidirect
9. #25736C2semidirect
10. #25732C2semidirect
11. #25725C2semidirect
12. #25717C2semidirect
13. #25641C2semidirect
14. #25637C2semidirect
15. #25635C2semidirect
16. #25627C2semidirect
17. #25611C2semidirect
18. #25606C2semidirect
19. #25604C2semidirect
20. #25601C2semidirect
21. #23870C2semidirect
22. #23862C2semidirect
23. #23860C2semidirect
24. #23860C2semidirect
25. #23857C2semidirect
26. #23850C2semidirect
27. #23849C2semidirect
28. #23849C2semidirect
29. #21813C2semidirect
30. #21414C2semidirect
31. #21381C2semidirect
32. C22×#137C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
35. C23×SD16C22semidirect
53. C2×#536C22semidirect
64. C2×#497C22semidirect
65. C2×#497C22semidirect
66. C2×#496C22semidirect
67. C2×#496C22semidirect
68. C2×#496C22semidirect
69. C2×#495C22semidirect
70. C2×#495C22semidirect
71. C2×#492C22semidirect
72. C2×#492C22semidirect
73. C2×#492C22semidirect
74. C2×#491C22semidirect
75. C2×#488C22semidirect
76. C2×#463C22semidirect
77. C2×#463C22semidirect
78. C2×#461C22semidirect
79. C2×#461C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
82. C2×#452C22semidirect
83. C2×#449C22semidirect
84. C2×#449C22semidirect
85. C2×#449C22semidirect
86. C2×#448C22semidirect
87. C2×#448C22semidirect
88. C2×#450C22semidirect
89. C2×#450C22semidirect
90. C2×#450C22semidirect
91. C2×#450C22semidirect
92. C2×#450C22semidirect
93. C2×#450C22semidirect
94. C2×#450C22semidirect
95. C2×#450C22semidirect
96. C2×#450C22semidirect
97. C2×#447C22semidirect
98. C2×#447C22semidirect
99. C2×#447C22semidirect
100. C2×#433C22semidirect
101. C2×#405C22semidirect
102. #2857C22semidirect
103. #2850C22semidirect
112. #2621C22semidirect
113. #2620C22semidirect
114. #2592C22semidirect
115. #2568C22semidirect
116. #2542C22semidirect
117. #2540C22semidirect
118. #2409C22semidirect
119. #2409C22semidirect
120. #2407C22semidirect
121. #2407C22semidirect
122. #2314C22semidirect
123. #2015C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
129. #2014C22semidirect
130. #2014C22semidirect
131. #2014C22semidirect
132. #2014C22semidirect
133. #2014C22semidirect
134. #2014C22semidirect
135. #2012C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1992C22semidirect
156. #1991C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1961C22semidirect
164. #1961C22semidirect
165. #1959C22semidirect
166. #1958C22semidirect
167. #1957C22semidirect
168. #1957C22semidirect
169. #1955C22semidirect
170. #1954C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1878C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. C4×#102C22semidirect
202. C4×#102C22semidirect
203. #1750C22semidirect
204. #1750C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
283. #540D4semidirect
290. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35432
C2×#32212
C2×#31542
#373792
#257692
#257632
#257622
#257532
#257362
#257322
#257252
#257172
#256412
#256372
#256352
#256272
#256112
#256062
#256042
#256012
#238702
#238622
#238602
#238572
#238502
#238492
#218132
#214142
#213812