Finite Group Databasebeta

← #6516943

Subgroups — #6516943

Order 512.

3645 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3558C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3C2×#3155C211yesmaximal, characteristic, complemented
4#37278C211yesmaximal, characteristic, complemented
5#25768C211yesmaximal, characteristic, complemented
6#25763C211yesmaximal, characteristic, complemented
7#25761C211yesmaximal, characteristic, complemented
8#25757C211yesmaximal, characteristic, complemented
9#25736C211yesmaximal, characteristic, complemented
10#25734C211yesmaximal, characteristic, complemented
11#25731C211yesmaximal, characteristic, complemented
12#25724C211yesmaximal, characteristic, complemented
13#25642C211yesmaximal, characteristic, complemented
14#25639C211yesmaximal, characteristic, complemented
15#25635C211yesmaximal, characteristic, complemented
16#25633C211yesmaximal, characteristic, complemented
17#25614C211yesmaximal, characteristic, complemented
18#25610C211yesmaximal, characteristic, complemented
19#25602C211yesmaximal, characteristic, complemented
20#25599C211yesmaximal, characteristic, complemented
21#23866C211yesmaximal, characteristic, complemented
22#23863C211yesmaximal, characteristic, complemented
23#23861C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23854C211yesmaximal, characteristic, complemented
26#23851C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#21813C211yesmaximal, characteristic, complemented
30#21412C211yesmaximal, characteristic, complemented
31#21381C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic, complemented
36#3558—28no—
37#3558—28no—
38C2×#562—21no—
39C2×H(3,𝔽4)—21no—
40C2×#559C2211yescharacteristic, complemented
41C2×#559C2211yescharacteristic, complemented
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546—21no—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×D42C2211yescharacteristic, complemented
50C2×#542C2211yescharacteristic
51C2×#542C2211yescharacteristic, complemented
52C2×#538—21no—
53C2×#538—21no—
54C2×#538—21no—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic, complemented
57C2×#535C2211yescharacteristic, complemented
58C2×#534—21no—
59C2×#532C2211yescharacteristic, complemented
60C2×#529C2211yescharacteristic
61C22×#124C2211yescharacteristic, complemented
62#3224—28no—
63#3155—28no—
64C2×#496C2211yescharacteristic
65C2×#496C2211yescharacteristic, complemented
66C2×#496C2211yescharacteristic, complemented
67C2×#496C2211yescharacteristic, complemented
68C2×#496C2211yescharacteristic, complemented
69C2×#495C2211yescharacteristic, complemented
70C2×#495C2211yescharacteristic, complemented
71C2×#495C2211yescharacteristic, complemented
72C2×#493C2211yescharacteristic
73C2×#493C2211yescharacteristic, complemented
74C2×#489C2211yescharacteristic, complemented
75C2×#486C2211yescharacteristic, complemented
76C2×#464C2211yescharacteristic, complemented
77C2×#460C2211yescharacteristic, complemented
78C2×#463C2211yescharacteristic, complemented
79C2×#459C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic, complemented
84C2×#449C2211yescharacteristic, complemented
85C2×#449C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic, complemented
87C2×#448C2211yescharacteristic, complemented
88C2×#448C2211yescharacteristic, complemented
89C2×#448C2211yescharacteristic, complemented
90C2×#450C2211yescharacteristic, complemented
91C2×#450C2211yescharacteristic, complemented
92C2×#450C2211yescharacteristic, complemented
93C2×#447C2211yescharacteristic
94C2×#447C2211yescharacteristic
95C2×#447C2211yescharacteristic
96C2×#447C2211yescharacteristic, complemented
97C2×#447C2211yescharacteristic, complemented
98C2×#447C2211yescharacteristic, complemented
99C2×#447C2211yescharacteristic, complemented
100C2×#433C2211yescharacteristic, complemented
101C2×#405C2211yescharacteristic, complemented
102#2856C2211yescharacteristic, complemented
103#2850C2211yescharacteristic, complemented
104#2714—21no—
105#2711—21no—
106#2685—21no—
107#2678—21no—
108#2676—21no—
109#2673—21no—
110#2670—21no—
111#2669—21no—
112#2620C2211yescharacteristic, complemented
113#2619C2211yescharacteristic, complemented
114#2592C2211yescharacteristic, complemented
115#2548C2211yescharacteristic, complemented
116#2541C2211yescharacteristic, complemented
117#2540C2211yescharacteristic, complemented
118#2408C2211yescharacteristic, complemented
119#2408C2211yescharacteristic, complemented
120#2407C2211yescharacteristic, complemented
121#2407C2211yescharacteristic, complemented
122#2314C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2014C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2012C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1993C2211yescharacteristic, complemented
156#1990C2211yescharacteristic, complemented
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1961C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1959C2211yescharacteristic, complemented
166#1958C2211yescharacteristic, complemented
167#1958C2211yescharacteristic, complemented
168#1957C2211yescharacteristic, complemented
169#1955C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1895C2211yescharacteristic
172#1894C2211yescharacteristic, complemented
173#1893C2211yescharacteristic
174#1892C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, 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#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, 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×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×#135—24no—
225C2×#135—42no—
226C2×#135—42no—
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8—24no—
240C22×D8—42no—
241C22×D8—42no—
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×M16C2311yescharacteristic
255C23×C8C2311yescharacteristic
256#562—216no—
257H(3,𝔽4)—216no—
258#559—24no—
259#559—24no—
260#559—24no—
261#559—24no—
262#548—24no—
263#548—24no—
264#548—24no—
265#548—24no—
266#546—216no—
267#546—216no—
268#546—24no—
269#546—24no—
270#546—24no—
271#546—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275D42—24no—
276#542—24no—
277#542—24no—
278#542—24no—
279#542D418yescomplemented
280#538—216no—
281#538—216no—
282#538—216no—
283#535—24no—
284#535—24no—
285#535—24no—
286#535—24no—
287#535—24no—
288#535D418yescomplemented
289#534—216no—
290#532—24no—
291#532—24no—
292C2×C4⋊Q8C2311yescharacteristic
293C2×#127—21no—
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298C2×#127C2311yescharacteristic
299#529—24no—
300#529—24no—
301C2×#126—21no—
302C2×#126—21no—
303C2×#126D411yescharacteristic
304C2×#126D411yescharacteristic
305C2×#125D411yescharacteristic
306C2×#124—21no—
307C2×#124—21no—
308C2×#124—24no—
309C2×#124—24no—
310C2×#124—21no—
311C2×#124—21no—
312C2×#124—21no—
313C2×#124—21no—
314C2×#124—21no—
315C2×#124—21no—
316C2×#124—21no—
317C2×#124—21no—
318C2×#124D411yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#123—21no—
328C2×#123—21no—
329C2×#123—21no—
330C2×#123—21no—
331C2×#123—21no—
332C2×#123—21no—
333C2×#123—21no—
334C2×#123—21no—
335C2×#123D411yescharacteristic
336C2×#123D411yescharacteristic
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8—21no—
339C2×C22⋊Q8—21no—
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8D411yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
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×#120—21no—
384C2×#120—21no—
385C2×#120—21no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4—21no—
390C2×C4×D4—21no—
391C2×C4×D4—21no—
392C2×C4×D4—21no—
393C2×C4×D4—21no—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C22×C22⋊C4—21no—
404C22×C22⋊C4—21no—
405C22×C22⋊C4—21no—
406C22×C22⋊C4—21no—
407C22×C42C2311yescharacteristic
408#496—24no—
409#496—24no—
410#496—24no—
411#496—24no—
412#496—24no—
413#495—24no—
414#495—24no—
415#495—24no—
416#493—24no—
417#493—24no—
418#489—24no—
419#486—24no—
420#464—24no—
421#463—24no—
422#460—24no—
423#459—24no—
424#452—24no—
425#452—42no—
426#451—42no—
427#450—24no—
428#450—42no—
429#450—42no—
430#449—24no—
431#449—42no—
432#449—42no—
433#449—42no—
434#448—42no—
435#448—42no—
436#448—42no—
437#447—24no—
438#447—42no—
439#447—42no—
440#447—42no—
441#447—42no—
442#447—42no—
443#447—42no—
444#433—24no—
445C2×C4⋊C8C2311yescharacteristic
446C2×C4⋊C8C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
456C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
474C2×#102C2311yescharacteristic
475C2×#102C2311yescharacteristic
476C2×#102C2311yescharacteristic
477C2×#102C2311yescharacteristic
478C2×#102C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489#405—24no—
490C2×#97C2311yescharacteristic
491C2×#97C2311yescharacteristic
492C2×#97C2311yescharacteristic
493C2×C4×C8C2311yescharacteristic
494C2×C4×C8C2311yescharacteristic
495C2×C4×C8C2311yescharacteristic
496#399—21no—
497#397—21no—
498#396—21no—
499#396—21no—
500#394—21no—
501#394—21no—
502#394—21no—
503#394—21no—
504#394—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#394—21no—
509#394—21no—
510#393—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#392—21no—
515#392—21no—
516#392—21no—
517#392—21no—
518#392—21no—
519#392—21no—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#390—21no—
523#390—21no—
524#390—21no—
525#390—21no—
526#390—21no—
527#390—21no—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#388—21no—
535#388—21no—
536#388—21no—
537#388—21no—
538#388—21no—
539#388—21no—
540#387—21no—
541#387—21no—
542#386—21no—
543#386—21no—
544#386—21no—
545#386—21no—
546#385—21no—
547#385—21no—
548#384C2311yescharacteristic
549#382C2311yescharacteristic
550#380C2311yescharacteristic
551#380C2311yescharacteristic
552#379—21no—
553#379—21no—
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—22no—
598C22×Q8—22no—
599C22×Q8—21no—
600C22×Q8—21no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8—41no—
605C22×Q8C2×D411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×Q8C2411yescharacteristic
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—28no—
612C22×D4—28no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
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—22no—
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
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—82no—
662C22×D4—82no—
663C22×D4—82no—
664C22×D4—82no—
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D411yescharacteristic
668C22×D4C2×D414yes—
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C22×D4C2411yescharacteristic
672C22×D4C2411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4C2×D411yescharacteristic
685C23×C4C2×D411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689AGL(1,ℤ/8)—416no—
690AGL(1,ℤ/8)—416no—
691#135—416no—
692C2×Q16—22no—
693C2×Q16—22no—
694C2×Q16—22no—
695C2×Q16—41no—
696C2×Q16—41no—
697C2×Q16—41no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—22no—
707C2×SD16—22no—
708C2×SD16—22no—
709C2×SD16—22no—
710C2×SD16—22no—
711C2×SD16—22no—
712C2×SD16—22no—
713C2×SD16—22no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16—41no—
720C2×SD16—41no—
721C2×SD16—41no—
722C2×SD16—41no—
723C2×SD16—41no—
724C2×SD16—41no—
725C2×SD16—41no—
726C2×SD16—41no—
727C2×SD16—41no—
728C2×D8—22no—
729C2×D8—22no—
730C2×D8—22no—
731C2×D8—22no—
732C2×D8—22no—
733C2×D8—22no—
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—22no—
737C2×D8—22no—
738C2×D8—22no—
739C2×D8—22no—
740C2×D8—22no—
741C2×D8—22no—
742C2×D8—22no—
743C2×D8—22no—
744C2×D8—22no—
745C2×D8—22no—
746C2×D8—22no—
747C2×D8—22no—
748C2×D8—22no—
749C2×D8—41no—
750C2×D8—41no—
751C2×D8—41no—
752C2×D8—41no—
753C2×D8—41no—
754C2×D8—41no—
755C2×D8—41no—
756C2×D8—41no—
757C2×D8—41no—
758C2×D8—416no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×M16—22no—
766C2×M16—22no—
767C2×M16—22no—
768C22×C8—22no—
769C22×C8—22no—
770C22×C8—22no—
771C22×C8C2411yescharacteristic
772C22×C8C2411yescharacteristic
773C22×C8C2411yescharacteristic
774C22×C8C2411yescharacteristic
775C22×C8C2411yescharacteristic
776C22×C8C2411yescharacteristic
777C22×C8C2411yescharacteristic
778C22×C8C2411yescharacteristic
779C4⋊Q8—22no—
780C4⋊Q8C2×D414yes—
781#127—22no—
782#127—22no—
783#127—22no—
784#127—22no—
785#127—22no—
786#127—22no—
787#127—22no—
788#127—22no—
789#127—82no—
790#127C2×D414yes—
791#127C2×D414yes—
792#126—28no—
793#126—28no—
794#126—24no—
795#126—24no—
796#125—24no—
797#124—28no—
798#124—28no—
799#124—28no—
800#124—28no—
801#124—28no—
802#124—28no—
803#124—28no—
804#124—28no—
805#124—22no—
806#124—22no—
807#124—22no—
808#124—22no—
809#124—22no—
810#124—22no—
811#124—28no—
812#124—24no—
813#124—22no—
814#124—22no—
815#124—22no—
816#124—22no—
817#124—22no—
818#124—22no—
819#124—22no—
820#124—82no—
821#124C2×D414yes—
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—24no—
832#123—28no—
833#123—24no—
834C22⋊Q8—28no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—22no—
838C22⋊Q8—22no—
839C22⋊Q8—28no—
840C22⋊Q8—24no—
841C22⋊Q8—22no—
842C22⋊Q8—41no—
843C22⋊Q8—41no—
844C22⋊Q8—41no—
845C22⋊Q8—41no—
846C22⋊Q8C2×D414yes—
847#121—28no—
848#121—28no—
849#121—28no—
850#121—28no—
851#121—28no—
852#121—28no—
853#121—28no—
854#121—28no—
855#121—28no—
856#121—22no—
857#121—22no—
858#121—22no—
859#121—22no—
860#121—28no—
861#121—28no—
862#121—22no—
863#121—22no—
864#121—22no—
865#121—24no—
866#121—44no—
867#121—44no—
868#121—41no—
869#121—41no—
870#121—41no—
871#121—41no—
872#121—41no—
873#121—41no—
874#121—41no—
875#121—41no—
876#121—41no—
877#121—41no—
878#121—41no—
879#121—41no—
880#121—82no—
881#121—82no—
882#121C2×D414yes—
883#120—28no—
884#120—28no—
885#120—28no—
886#120—28no—
887#120—28no—
888#120—28no—
889#120—28no—
890#120—28no—
891#120—28no—
892#120—28no—
893#120—44no—
894#120—44no—
895#120—82no—
896#120—82no—
897C4×Q8—22no—
898C4×Q8—22no—
899C4×Q8—22no—
900C4×Q8—22no—
901C4×Q8—22no—
902C4×Q8C2×D414yes—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
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×D4—22no—
921C4×D4C2×D414yes—
922#117—22no—
923#117—22no—
924#117C2×D414yes—
925#117C2×D414yes—
926C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
936C2×C4⋊C4C2×D411yescharacteristic
937C2×C4⋊C4C2×D411yescharacteristic
938C2×C4⋊C4C2×D411yescharacteristic
939C2×C4⋊C4C2×D411yescharacteristic
940C2×C4⋊C4C2×D411yescharacteristic
941C2×C4⋊C4C2×D411yescharacteristic
942C2×C4⋊C4C2×D411yescharacteristic
943C2×C4⋊C4C2×D411yescharacteristic
944C2×C4⋊C4C2×D411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C22⋊C4—28no—
952C2×C22⋊C4—28no—
953C2×C22⋊C4—28no—
954C2×C22⋊C4—28no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
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⋊C4—21no—
997C2×C22⋊C4—21no—
998C2×C22⋊C4—21no—
999C2×C22⋊C4—21no—
1000C2×C22⋊C4—21no—
1001C2×C22⋊C4—21no—
1002C2×C22⋊C4—21no—
1003C2×C22⋊C4C2×D411yescharacteristic
1004C2×C22⋊C4C2×D411yescharacteristic
1005C2×C22⋊C4C2×D411yescharacteristic
1006C2×C22⋊C4C2×D411yescharacteristic
1007C2×C22⋊C4C2×D411yescharacteristic
1008C2×C22⋊C4C2×D411yescharacteristic
1009C2×C22⋊C4C2×D411yescharacteristic
1010C2×C22⋊C4C2×D411yescharacteristic
1011C2×C22⋊C4C2×D411yescharacteristic
1012C2×C22⋊C4C2×D411yescharacteristic
1013C2×C42—21no—
1014C2×C42—21no—
1015C2×C42—22no—
1016C2×C42—22no—
1017C2×C42—21no—
1018C2×C42—21no—
1019C2×C42C2×D411yescharacteristic
1020C2×C42C2×D411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C4⋊C8—22no—
1026C4⋊C8—22no—
1027#103—22no—
1028#103—22no—
1029#103—22no—
1030#103—22no—
1031#103—22no—
1032#103—22no—
1033#103—41no—
1034#103—41no—
1035#103—41no—
1036#103—41no—
1037#102—22no—
1038#102—22no—
1039#102—22no—
1040#102—22no—
1041#102—22no—
1042#102—22no—
1043#102—22no—
1044#102—22no—
1045#102—22no—
1046#102—22no—
1047#102—41no—
1048#102—41no—
1049#102—41no—
1050#102—41no—
1051#102—41no—
1052#102—41no—
1053#102—41no—
1054#102—41no—
1055#102—41no—
1056#102—41no—
1057#102—41no—
1058#102—41no—
1059C22⋊C8—22no—
1060C22⋊C8—22no—
1061C22⋊C8—22no—
1062C22⋊C8—22no—
1063C22⋊C8—22no—
1064C22⋊C8—22no—
1065C22⋊C8—22no—
1066C22⋊C8—22no—
1067C22⋊C8—22no—
1068C22⋊C8—22no—
1069#97—22no—
1070#97—22no—
1071#97—22no—
1072C4×C8—22no—
1073C4×C8—22no—
1074C4×C8—22no—
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—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—24no—
1092C24—21no—
1093C24—21no—
1094C24—21no—
1095C24—42no—
1096C24—42no—
1097C24—42no—
1098C24—81no—
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—
1119C24—81no—
1120C24C22×D411yescharacteristic
1121C24C22×D411yescharacteristic
1122C24C22×D411yescharacteristic
1123#41—44no—
1124#41—44no—
1125#41—44no—
1126#41—44no—
1127#41—82no—
1128#41—82no—
1129#41—82no—
1130#41—82no—
1131#41—82no—
1132#41—82no—
1133#41—816no—
1134#41—82no—
1135#41—82no—
1136C2×Q8—24no—
1137C2×Q8—22no—
1138C2×Q8—24no—
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—41no—
1156C2×Q8—41no—
1157C2×Q8—81no—
1158C2×Q8—81no—
1159C2×Q8—81no—
1160C2×Q8—81no—
1161C2×Q8—82no—
1162C2×Q8—82no—
1163C2×Q8—82no—
1164C2×Q8—82no—
1165C2×Q8C22×D412yes—
1166C2×Q8C22×D412yes—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—21no—
1196C2×D4—21no—
1197C2×D4—21no—
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—44no—
1226C2×D4—44no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—42no—
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—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
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—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—82no—
1279C2×D4—82no—
1280C2×D4—82no—
1281C2×D4—82no—
1282C2×D4—82no—
1283C2×D4—82no—
1284C2×D4—82no—
1285C2×D4—82no—
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—81no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—81no—
1307C2×D4—81no—
1308C2×D4—81no—
1309C2×D4—81no—
1310C2×D4—81no—
1311C2×D4—816no—
1312C2×D4—816no—
1313C2×D4C22×D412yes—
1314C2×D4C22×D412yes—
1315C2×D4C22×D412yes—
1316C2×D4C22×D412yes—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—22no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
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—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
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×D411yescharacteristic
1383C22×C4C22×D412yes—
1384C22×C4C22×D412yes—
1385C22×C4C2511yescharacteristic
1386Q16—44no—
1387Q16—82no—
1388SD16—44no—
1389SD16—44no—
1390SD16—44no—
1391SD16—44no—
1392SD16—44no—
1393SD16—44no—
1394SD16—82no—
1395SD16—82no—
1396SD16—82no—
1397SD16—82no—
1398D8—44no—
1399D8—44no—
1400D8—44no—
1401D8—44no—
1402D8—44no—
1403D8—44no—
1404D8—44no—
1405D8—44no—
1406D8—44no—
1407D8—82no—
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—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
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—21no—
1459C4⋊C4—81no—
1460C4⋊C4—81no—
1461C4⋊C4—81no—
1462C4⋊C4—81no—
1463C4⋊C4#12014yes—
1464C4⋊C4#12014yes—
1465C4⋊C4C22×D412yes—
1466C4⋊C4C22×D412yes—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
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—81no—
1518C22⋊C4—81no—
1519C22⋊C4—81no—
1520C22⋊C4—81no—
1521C22⋊C4—81no—
1522C22⋊C4—81no—
1523C22⋊C4#12014yes—
1524C22⋊C4#12014yes—
1525C42—24no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—81no—
1534C42—81no—
1535C42C22×D412yes—
1536C42C22×D412yes—
1537C42C22×D412yes—
1538C42C22×D412yes—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—48no—
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—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—84no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—162no—
1618C23—162no—
1619C23—162no—
1620C23—162no—
1621C23—162no—
1622C23—162no—
1623C23—162no—
1624C23—162no—
1625C23—162no—
1626C23—162no—
1627C23—162no—
1628C23—162no—
1629C23—162no—
1630C23—162no—
1631C23—162no—
1632C23—162no—
1633C23—162no—
1634C23—162no—
1635C23C2×#12012yes—
1636C23#57612yes—
1637C23C23×D411yescharacteristic
1638Q8—22no—
1639Q8—22no—
1640Q8—22no—
1641Q8—22no—
1642Q8—41no—
1643Q8—41no—
1644Q8—41no—
1645Q8—41no—
1646Q8—41no—
1647Q8—41no—
1648Q8—41no—
1649Q8—41no—
1650Q8—82no—
1651Q8—84no—
1652Q8—84no—
1653D4—22no—
1654D4—22no—
1655D4—22no—
1656D4—22no—
1657D4—22no—
1658D4—22no—
1659D4—22no—
1660D4—22no—
1661D4—44no—
1662D4—44no—
1663D4—48no—
1664D4—48no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—41no—
1671D4—41no—
1672D4—41no—
1673D4—41no—
1674D4—41no—
1675D4—41no—
1676D4—41no—
1677D4—41no—
1678D4—41no—
1679D4—41no—
1680D4—41no—
1681D4—41no—
1682D4—41no—
1683D4—41no—
1684D4—41no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—82no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—162no—
1702D4—162no—
1703D4—162no—
1704D4—162no—
1705D4—162no—
1706D4—162no—
1707D4—162no—
1708D4—162no—
1709D4—162no—
1710D4—162no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—44no—
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—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—82no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4C2×#12012yes—
1789C2×C4C2×#12012yes—
1790C2×C4C2×#12012yes—
1791C2×C4C2×#12012yes—
1792C2×C4C2×#12012yes—
1793C2×C4C23×D411yescharacteristic
1794C2×C4C23×D411yescharacteristic
1795C2×C4C2×H(5,𝔽2)11yescharacteristic
1796C2×C4C2×H(5,𝔽2)11yescharacteristic
1797C2×C4C2×H(5,𝔽2)11yescharacteristic
1798C2×C4C2×H(5,𝔽2)11yescharacteristic
1799C8—22no—
1800C8—22no—
1801C8—22no—
1802C8—22no—
1803C8—41no—
1804C8—41no—
1805C8—41no—
1806C8—41no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—42no—
1834C22—41no—
1835C22—42no—
1836C22—42no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
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—81no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—168no—
1878C22—168no—
1879C22—168no—
1880C22—168no—
1881C22C22×#12011yescharacteristic
1882C22#349811yescharacteristic
1883C22#349811yescharacteristic
1884C22C2×#57611yescharacteristic
1885C22#358411yescharacteristic
1886C22#358511yescharacteristic
1887C22#358511yescharacteristic
1888C4—22no—
1889C4—22no—
1890C4—22no—
1891C4—22no—
1892C4—22no—
1893C4—41no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—41no—
1902C4—41no—
1903C4—81no—
1904C4—81no—
1905C4—81no—
1906C4—81no—
1907C4—81no—
1908C4#348411yescharacteristic
1909C4#348411yescharacteristic
1910C4#349811yescharacteristic
1911C4#349811yescharacteristic
1912C2—42no—
1913C2—42no—
1914C2—81no—
1915C2—82no—
1916C2—82no—
1917C2—82no—
1918C2—82no—
1919C2—161no—
1920C2—161no—
1921C2—161no—
1922C2#3552711yescharacteristic
1923C2#6037211yescharacteristic
1924C2#6037611yescharacteristic
1925C2#6243611yescharacteristic
1926C2#6244311yescharacteristic
1927C2#6245911yescharacteristic
1928C2#6246811yescharacteristic
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×#3558C2semidirect
2. C2×#3224C2semidirect
3. C2×#3155C2semidirect
4. #37278C2semidirect
5. #25768C2semidirect
6. #25763C2semidirect
7. #25761C2semidirect
8. #25757C2semidirect
9. #25736C2semidirect
10. #25734C2semidirect
11. #25731C2semidirect
12. #25724C2semidirect
13. #25642C2semidirect
14. #25639C2semidirect
15. #25635C2semidirect
16. #25633C2semidirect
17. #25614C2semidirect
18. #25610C2semidirect
19. #25602C2semidirect
20. #25599C2semidirect
21. #23866C2semidirect
22. #23863C2semidirect
23. #23861C2semidirect
24. #23860C2semidirect
25. #23854C2semidirect
26. #23851C2semidirect
27. #23850C2semidirect
28. #23848C2semidirect
29. #21813C2semidirect
30. #21412C2semidirect
31. #21381C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
35. C23×D8C22semidirect
40. C2×#559C22semidirect
41. C2×#559C22semidirect
43. C2×#548C22semidirect
49. C2×D42C22semidirect
51. C2×#542C22semidirect
56. C2×#535C22semidirect
57. C2×#535C22semidirect
59. C2×#532C22semidirect
61. C22×#124C22semidirect
65. C2×#496C22semidirect
66. C2×#496C22semidirect
67. C2×#496C22semidirect
68. C2×#496C22semidirect
69. C2×#495C22semidirect
70. C2×#495C22semidirect
71. C2×#495C22semidirect
73. C2×#493C22semidirect
74. C2×#489C22semidirect
75. C2×#486C22semidirect
76. C2×#464C22semidirect
77. C2×#460C22semidirect
78. C2×#463C22semidirect
79. C2×#459C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
83. C2×#449C22semidirect
84. C2×#449C22semidirect
85. C2×#449C22semidirect
86. C2×#451C22semidirect
87. C2×#448C22semidirect
88. C2×#448C22semidirect
89. C2×#448C22semidirect
90. C2×#450C22semidirect
91. C2×#450C22semidirect
92. C2×#450C22semidirect
96. C2×#447C22semidirect
97. C2×#447C22semidirect
98. C2×#447C22semidirect
99. C2×#447C22semidirect
100. C2×#433C22semidirect
101. C2×#405C22semidirect
102. #2856C22semidirect
103. #2850C22semidirect
112. #2620C22semidirect
113. #2619C22semidirect
114. #2592C22semidirect
115. #2548C22semidirect
116. #2541C22semidirect
117. #2540C22semidirect
118. #2408C22semidirect
119. #2408C22semidirect
120. #2407C22semidirect
121. #2407C22semidirect
122. #2314C22semidirect
123. #2015C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
126. #2014C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
132. #2012C22semidirect
133. #2012C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
138. #2011C22semidirect
139. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1993C22semidirect
156. #1990C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1961C22semidirect
164. #1959C22semidirect
165. #1959C22semidirect
166. #1958C22semidirect
167. #1958C22semidirect
168. #1957C22semidirect
169. #1955C22semidirect
170. #1954C22semidirect
172. #1894C22semidirect
174. #1892C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1763C22semidirect
200. #1762C22semidirect
201. C4×#103C22semidirect
202. C4×#102C22semidirect
203. #1750C22semidirect
204. #1750C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
279. #542D4semidirect
288. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35582
C2×#32242
C2×#31552
#372782
#257682
#257632
#257612
#257572
#257362
#257342
#257312
#257242
#256422
#256392
#256352
#256332
#256142
#256102
#256022
#255992
#238662
#238632
#238612
#238602
#238542
#238512
#238502
#238482
#218132
#214122
#213812