Finite Group Databasebeta

← #6516946

Subgroups — #6516946

Order 512.

3818 conjugacy classes of subgroups.

The subgroup lattice has 1982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3220C211yesmaximal, characteristic, complemented
3C2×#3155C211yesmaximal, characteristic, complemented
4#37278C211yesmaximal, characteristic, complemented
5#25770C211yesmaximal, characteristic, complemented
6#25763C211yesmaximal, characteristic, complemented
7#25762C211yesmaximal, characteristic, complemented
8#25757C211yesmaximal, characteristic, complemented
9#25736C211yesmaximal, characteristic, complemented
10#25734C211yesmaximal, characteristic, complemented
11#25725C211yesmaximal, characteristic, complemented
12#25721C211yesmaximal, characteristic, complemented
13#25642C211yesmaximal, characteristic, complemented
14#25637C211yesmaximal, characteristic, complemented
15#25635C211yesmaximal, characteristic, complemented
16#25631C211yesmaximal, characteristic, complemented
17#25611C211yesmaximal, characteristic, complemented
18#25608C211yesmaximal, characteristic, complemented
19#25605C211yesmaximal, characteristic, complemented
20#25601C211yesmaximal, characteristic, complemented
21#23869C211yesmaximal, characteristic, complemented
22#23861C211yesmaximal, characteristic, complemented
23#23860C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23850C211yesmaximal, characteristic, complemented
27#23848C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#21813C211yesmaximal, characteristic, complemented
30#21414C211yesmaximal, 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#3543—28no—
37#3543—28no—
38C2×#560—21no—
39C2×#560—21no—
40C2×#559C2211yescharacteristic, complemented
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic, complemented
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic, complemented
46C2×D42—21no—
47C2×D42C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×D42C2211yescharacteristic, complemented
50C2×#540—21no—
51C2×#540C2211yescharacteristic
52C2×#540C2211yescharacteristic, complemented
53C2×#535—21no—
54C2×#535C2211yescharacteristic
55C2×#535C2211yescharacteristic, complemented
56C2×#535C2211yescharacteristic, complemented
57C2×#534—21no—
58C2×#534—21no—
59C22×#127C2211yescharacteristic, complemented
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic, complemented
62#3220—28no—
63#3155—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#496C2211yescharacteristic, complemented
66C2×#496C2211yescharacteristic, complemented
67C2×#496C2211yescharacteristic, complemented
68C2×#496C2211yescharacteristic, complemented
69C2×#495C2211yescharacteristic, complemented
70C2×#495C2211yescharacteristic, complemented
71C2×#493C2211yescharacteristic, complemented
72C2×#493C2211yescharacteristic, complemented
73C2×#493C2211yescharacteristic, complemented
74C2×#490C2211yescharacteristic, complemented
75C2×#488C2211yescharacteristic, complemented
76C2×#463C2211yescharacteristic, complemented
77C2×#463C2211yescharacteristic, complemented
78C2×#459C2211yescharacteristic, complemented
79C2×#459C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#449C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#449C2211yescharacteristic, complemented
85C2×#449C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic, complemented
88C2×#450C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic, complemented
90C2×#447C2211yescharacteristic, complemented
91C2×#447C2211yescharacteristic, complemented
92C2×#447C2211yescharacteristic, complemented
93C2×#447C2211yescharacteristic, complemented
94C2×#447C2211yescharacteristic, complemented
95C2×#447C2211yescharacteristic, complemented
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#2014C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2014C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic, complemented
133#2011C2211yescharacteristic, complemented
134#2011C2211yescharacteristic, complemented
135#2011C2211yescharacteristic, complemented
136#2011C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
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#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#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#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×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×#135—24no—
228C2×#135—42no—
229C2×#135—42no—
230C22×Q16C2311yescharacteristic
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×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#535—216no—
285#535—24no—
286#535—24no—
287#535—24no—
288#535—24no—
289#535—24no—
290#535D418yescomplemented
291#534—216no—
292#534—216no—
293C2×#127—21no—
294C2×#127—24no—
295C2×#127—24no—
296C2×#127—21no—
297C2×#127—21no—
298C2×#127—21no—
299C2×#127C2311yescharacteristic
300C2×#127C2311yescharacteristic
301C2×#127C2311yescharacteristic
302C2×#127C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2311yescharacteristic
307#529—24no—
308#529—24no—
309#529—24no—
310#529—24no—
311C2×#126—21no—
312C2×#126D411yescharacteristic
313C2×#126D411yescharacteristic
314C2×#125D411yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#124—21no—
317C2×#124—21no—
318C2×#124D411yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
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⋊Q8D411yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
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×#121D411yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
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×#120—21no—
387C2×#120—21no—
388C2×#120—21no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
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×C4×D4C2311yescharacteristic
402C2×#117—21no—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
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#493—24no—
416#493—24no—
417#493—24no—
418#490—24no—
419#488—24no—
420#463—24no—
421#463—24no—
422#459—24no—
423#459—24no—
424#452—42no—
425#450—42no—
426#450—42no—
427#450—42no—
428#449—24no—
429#449—24no—
430#449—42no—
431#449—42no—
432#449—42no—
433#447—24no—
434#447—24no—
435#447—42no—
436#447—42no—
437#447—42no—
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×#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×#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—
576C25—21no—
577C2×#41—28no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
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—41no—
595C2×#41—82no—
596C2×#41—82no—
597C2×#41C2×D414yes—
598C22×Q8C2×D411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×D4—21no—
602C22×D4—28no—
603C22×D4—28no—
604C22×D4—28no—
605C22×D4—28no—
606C22×D4—28no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—22no—
614C22×D4—22no—
615C22×D4—22no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—21no—
620C22×D4—21no—
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—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—22no—
643C22×D4—22no—
644C22×D4—22no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
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—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—82no—
671C22×D4—82no—
672C22×D4—82no—
673C22×D4—82no—
674C22×D4—82no—
675C22×D4—82no—
676C22×D4—82no—
677C22×D4—82no—
678C22×D4—82no—
679C22×D4—82no—
680C22×D4C2×D411yescharacteristic
681C22×D4C2×D411yescharacteristic
682C22×D4C2×D411yescharacteristic
683C22×D4C2×D414yes—
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C22×D4C2411yescharacteristic
690C22×D4C2411yescharacteristic
691C22×D4C2411yescharacteristic
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4—21no—
699C23×C4—21no—
700C23×C4C2×D411yescharacteristic
701C23×C4C2×D411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705AGL(1,ℤ/8)—416no—
706AGL(1,ℤ/8)—416no—
707#135—416no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—41no—
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—41no—
726C2×SD16—41no—
727C2×SD16—41no—
728C2×SD16—41no—
729C2×SD16—41no—
730C2×SD16—41no—
731C2×SD16—41no—
732C2×SD16—41no—
733C2×SD16—41no—
734C2×SD16—41no—
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—22no—
750C2×D8—22no—
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—416no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8—41no—
778C2×D8—41no—
779C2×D8—41no—
780C2×D8—41no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16—22no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795#127—28no—
796#127—28no—
797#127—28no—
798#127—22no—
799#127—22no—
800#127—22no—
801#127—22no—
802#127—22no—
803#127—22no—
804#127—22no—
805#127—22no—
806#127—22no—
807#127—22no—
808#127—22no—
809#127—22no—
810#127—22no—
811#127—82no—
812#127C2×D414yes—
813#127C2×D414yes—
814#127C2×D414yes—
815#126—28no—
816#126—24no—
817#126—24no—
818#125—24no—
819#125—22no—
820#125C2×D414yes—
821#124—28no—
822#124—22no—
823#124—22no—
824#124—24no—
825#124—22no—
826#124—22no—
827#124—22no—
828#124—22no—
829#124—22no—
830#124—22no—
831#124—82no—
832#124C2×D414yes—
833#124C2×D414yes—
834#123—28no—
835#123—28no—
836#123—28no—
837#123—28no—
838#123—28no—
839#123—28no—
840#123—28no—
841#123—28no—
842#123—28no—
843#123—24no—
844#123—24no—
845C22⋊Q8—22no—
846C22⋊Q8—24no—
847C22⋊Q8—22no—
848C22⋊Q8—41no—
849C22⋊Q8—41no—
850C22⋊Q8—41no—
851C22⋊Q8—41no—
852#121—28no—
853#121—28no—
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—22no—
867#121—22no—
868#121—22no—
869#121—22no—
870#121—22no—
871#121—28no—
872#121—28no—
873#121—22no—
874#121—22no—
875#121—22no—
876#121—28no—
877#121—28no—
878#121—24no—
879#121—44no—
880#121—44no—
881#121—41no—
882#121—41no—
883#121—41no—
884#121—41no—
885#121—41no—
886#121—41no—
887#121—41no—
888#121—41no—
889#121—41no—
890#121—41no—
891#121—41no—
892#121—41no—
893#121—82no—
894#121—82no—
895#121C2×D414yes—
896#121C2×D414yes—
897#120—28no—
898#120—28no—
899#120—28no—
900#120—28no—
901#120—28no—
902#120—28no—
903#120—28no—
904#120—28no—
905#120—28no—
906#120—28no—
907#120—28no—
908#120—28no—
909#120—44no—
910#120—44no—
911#120—82no—
912#120—82no—
913C4×Q8—22no—
914C4×Q8—22no—
915C4×Q8—22no—
916C4×Q8—22no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—22no—
921C4×D4—22no—
922C4×D4—22no—
923C4×D4—22no—
924C4×D4—22no—
925C4×D4—22no—
926C4×D4—22no—
927C4×D4—22no—
928C4×D4—22no—
929C4×D4—22no—
930C4×D4—22no—
931C4×D4—22no—
932C4×D4—22no—
933C4×D4—22no—
934C4×D4C2×D414yes—
935C4×D4C2×D414yes—
936#117—28no—
937#117—22no—
938#117—22no—
939#117C2×D414yes—
940#117C2×D414yes—
941C2×C4⋊C4—21no—
942C2×C4⋊C4—21no—
943C2×C4⋊C4—21no—
944C2×C4⋊C4—21no—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—21no—
948C2×C4⋊C4—21no—
949C2×C4⋊C4C2×D411yescharacteristic
950C2×C4⋊C4C2×D411yescharacteristic
951C2×C4⋊C4C2×D411yescharacteristic
952C2×C4⋊C4C2×D411yescharacteristic
953C2×C4⋊C4C2×D411yescharacteristic
954C2×C4⋊C4C2×D411yescharacteristic
955C2×C4⋊C4C2×D411yescharacteristic
956C2×C4⋊C4C2×D411yescharacteristic
957C2×C4⋊C4C2×D411yescharacteristic
958C2×C4⋊C4C2×D411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C22⋊C4—28no—
966C2×C22⋊C4—28no—
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⋊C4—21no—
1004C2×C22⋊C4—21no—
1005C2×C22⋊C4—21no—
1006C2×C22⋊C4—21no—
1007C2×C22⋊C4—21no—
1008C2×C22⋊C4—21no—
1009C2×C22⋊C4—21no—
1010C2×C22⋊C4C2×D411yescharacteristic
1011C2×C22⋊C4C2×D411yescharacteristic
1012C2×C22⋊C4C2×D411yescharacteristic
1013C2×C22⋊C4C2×D411yescharacteristic
1014C2×C22⋊C4C2×D411yescharacteristic
1015C2×C22⋊C4C2×D411yescharacteristic
1016C2×C22⋊C4C2×D411yescharacteristic
1017C2×C22⋊C4C2×D411yescharacteristic
1018C2×C22⋊C4C2×D411yescharacteristic
1019C2×C22⋊C4C2×D411yescharacteristic
1020C2×C42—21no—
1021C2×C42—22no—
1022C2×C42—22no—
1023C2×C42—21no—
1024C2×C42—21no—
1025C2×C42C2×D411yescharacteristic
1026C2×C42C2×D411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C4⋊C8—22no—
1032C4⋊C8—22no—
1033#103—22no—
1034#103—22no—
1035#103—41no—
1036#103—41no—
1037#103—41no—
1038#103—41no—
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—22no—
1048#102—22no—
1049#102—22no—
1050#102—22no—
1051#102—22no—
1052#102—22no—
1053#102—41no—
1054#102—41no—
1055#102—41no—
1056#102—41no—
1057#102—41no—
1058#102—41no—
1059#102—41no—
1060#102—41no—
1061#102—41no—
1062#102—41no—
1063#102—41no—
1064#102—41no—
1065C22⋊C8—22no—
1066C22⋊C8—22no—
1067C22⋊C8—22no—
1068C22⋊C8—22no—
1069C22⋊C8—22no—
1070C22⋊C8—22no—
1071C22⋊C8—22no—
1072C22⋊C8—22no—
1073C22⋊C8—22no—
1074C22⋊C8—22no—
1075#97—22no—
1076#97—22no—
1077#97—22no—
1078C4×C8—22no—
1079C4×C8—22no—
1080C4×C8—22no—
1081#95—21no—
1082#95—21no—
1083#95—21no—
1084#95—21no—
1085#95—21no—
1086#95—21no—
1087#95—21no—
1088#95—21no—
1089#95—21no—
1090#95—21no—
1091C24—24no—
1092C24—24no—
1093C24—24no—
1094C24—21no—
1095C24—21no—
1096C24—21no—
1097C24—21no—
1098C24—21no—
1099C24—24no—
1100C24—21no—
1101C24—21no—
1102C24—21no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24—42no—
1108C24—81no—
1109C24—81no—
1110C24—81no—
1111C24—81no—
1112C24—81no—
1113C24—81no—
1114C24—81no—
1115C24—81no—
1116C24—81no—
1117C24—81no—
1118C24—81no—
1119C24—81no—
1120C24—81no—
1121C24—81no—
1122C24—81no—
1123C24—81no—
1124C24—81no—
1125C24—81no—
1126C24—81no—
1127C24—81no—
1128C24—81no—
1129C24—81no—
1130C24—81no—
1131C24—81no—
1132C24—81no—
1133C24—81no—
1134C24C22×D411yescharacteristic
1135C24C22×D411yescharacteristic
1136C24C22×D411yescharacteristic
1137#41—44no—
1138#41—44no—
1139#41—44no—
1140#41—44no—
1141#41—82no—
1142#41—82no—
1143#41—82no—
1144#41—82no—
1145#41—82no—
1146#41—82no—
1147#41—82no—
1148#41—82no—
1149#41—816no—
1150C2×Q8—22no—
1151C2×Q8—22no—
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—21no—
1161C2×Q8—21no—
1162C2×Q8—21no—
1163C2×Q8—41no—
1164C2×Q8C22×D412yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
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—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
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—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
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—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
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—82no—
1302C2×D4—82no—
1303C2×D4—82no—
1304C2×D4—82no—
1305C2×D4—82no—
1306C2×D4—82no—
1307C2×D4—82no—
1308C2×D4—82no—
1309C2×D4—82no—
1310C2×D4—82no—
1311C2×D4—82no—
1312C2×D4—82no—
1313C2×D4—816no—
1314C2×D4—816no—
1315C2×D4—81no—
1316C2×D4—81no—
1317C2×D4—81no—
1318C2×D4—81no—
1319C2×D4—81no—
1320C2×D4—81no—
1321C2×D4—81no—
1322C2×D4—81no—
1323C2×D4—81no—
1324C2×D4—81no—
1325C2×D4—81no—
1326C2×D4—81no—
1327C2×D4—81no—
1328C2×D4—81no—
1329C2×D4—816no—
1330C2×D4—81no—
1331C2×D4—81no—
1332C2×D4—81no—
1333C2×D4—81no—
1334C2×D4—81no—
1335C2×D4—81no—
1336C2×D4—81no—
1337C2×D4—81no—
1338C2×D4—81no—
1339C2×D4—81no—
1340C2×D4—81no—
1341C2×D4—81no—
1342C2×D4—81no—
1343C2×D4—81no—
1344C2×D4—81no—
1345C2×D4—816no—
1346C2×D4—816no—
1347C2×D4C22×D412yes—
1348C2×D4C22×D412yes—
1349C2×D4C22×D412yes—
1350C2×D4C22×D412yes—
1351C2×D4C22×D412yes—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
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—
1404C22×C4—81no—
1405C22×C4—81no—
1406C22×C4C22×D411yescharacteristic
1407C22×C4C22×D411yescharacteristic
1408C22×C4C22×D411yescharacteristic
1409C22×C4C22×D411yescharacteristic
1410C22×C4C22×D411yescharacteristic
1411C22×C4C22×D411yescharacteristic
1412C22×C4C22×D411yescharacteristic
1413C22×C4C22×D411yescharacteristic
1414C22×C4C22×D411yescharacteristic
1415C22×C4C22×D411yescharacteristic
1416C22×C4C22×D412yes—
1417C22×C4C22×D412yes—
1418C22×C4C22×D411yescharacteristic
1419C22×C4C2511yescharacteristic
1420Q16—44no—
1421SD16—44no—
1422SD16—44no—
1423SD16—44no—
1424SD16—44no—
1425SD16—44no—
1426SD16—44no—
1427SD16—82no—
1428SD16—82no—
1429D8—44no—
1430D8—44no—
1431D8—44no—
1432D8—44no—
1433D8—44no—
1434D8—44no—
1435D8—44no—
1436D8—44no—
1437D8—44no—
1438D8—82no—
1439D8—82no—
1440D8—82no—
1441D8—82no—
1442D8—82no—
1443D8—82no—
1444M16—28no—
1445C2×C8—28no—
1446C2×C8—21no—
1447C2×C8—21no—
1448C2×C8—21no—
1449C2×C8—21no—
1450C2×C8—21no—
1451C2×C8—21no—
1452C2×C8—21no—
1453C2×C8—21no—
1454C2×C8—21no—
1455C2×C8—21no—
1456C2×C8—21no—
1457C2×C8—21no—
1458C2×C8—21no—
1459C2×C8—21no—
1460C2×C8—21no—
1461C2×C8—21no—
1462C2×C8—21no—
1463C2×C8—21no—
1464C2×C8—21no—
1465C2×C8—21no—
1466C2×C8H(5,𝔽2)12yes—
1467C2×C8H(5,𝔽2)12yes—
1468C2×C8H(5,𝔽2)12yes—
1469C2×C8H(5,𝔽2)12yes—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—81no—
1493C4⋊C4—81no—
1494C4⋊C4—81no—
1495C4⋊C4—81no—
1496C4⋊C4#12014yes—
1497C4⋊C4#12014yes—
1498C4⋊C4C22×D412yes—
1499C4⋊C4C22×D412yes—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—81no—
1533C22⋊C4—81no—
1534C22⋊C4—81no—
1535C22⋊C4—81no—
1536C22⋊C4—81no—
1537C22⋊C4—81no—
1538C22⋊C4—81no—
1539C22⋊C4—81no—
1540C22⋊C4—81no—
1541C22⋊C4—81no—
1542C22⋊C4—81no—
1543C22⋊C4—81no—
1544C22⋊C4—81no—
1545C22⋊C4—81no—
1546C22⋊C4—81no—
1547C22⋊C4—81no—
1548C22⋊C4—81no—
1549C22⋊C4—81no—
1550C22⋊C4—81no—
1551C22⋊C4#12014yes—
1552C22⋊C4#12014yes—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—81no—
1561C42—81no—
1562C42C22×D412yes—
1563C42C22×D412yes—
1564C42C22×D412yes—
1565C42C22×D412yes—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—48no—
1591C23—48no—
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—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23—84no—
1647C23—84no—
1648C23—84no—
1649C23—84no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—162no—
1655C23—162no—
1656C23—162no—
1657C23—162no—
1658C23—162no—
1659C23—162no—
1660C23—162no—
1661C23—162no—
1662C23—162no—
1663C23—162no—
1664C23—162no—
1665C23—162no—
1666C23—162no—
1667C23—162no—
1668C23—162no—
1669C23—162no—
1670C23—162no—
1671C23—162no—
1672C23—162no—
1673C23—162no—
1674C23—162no—
1675C23—162no—
1676C23C2×#12012yes—
1677C23#57612yes—
1678C23C23×D411yescharacteristic
1679Q8—22no—
1680Q8—22no—
1681Q8—44no—
1682Q8—41no—
1683Q8—41no—
1684Q8—41no—
1685Q8—41no—
1686Q8—41no—
1687Q8—41no—
1688D4—22no—
1689D4—22no—
1690D4—22no—
1691D4—22no—
1692D4—22no—
1693D4—22no—
1694D4—22no—
1695D4—22no—
1696D4—22no—
1697D4—22no—
1698D4—44no—
1699D4—44no—
1700D4—48no—
1701D4—48no—
1702D4—44no—
1703D4—48no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—41no—
1725D4—41no—
1726D4—84no—
1727D4—84no—
1728D4—84no—
1729D4—84no—
1730D4—84no—
1731D4—84no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—84no—
1738D4—84no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—84no—
1745D4—84no—
1746D4—84no—
1747D4—84no—
1748D4—162no—
1749D4—162no—
1750D4—162no—
1751D4—162no—
1752D4—162no—
1753D4—162no—
1754D4—162no—
1755D4—162no—
1756D4—162no—
1757D4—162no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—48no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—84no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—84no—
1831C2×C4C2×#12012yes—
1832C2×C4C2×#12012yes—
1833C2×C4C2×#12012yes—
1834C2×C4C2×#12012yes—
1835C2×C4C2×#12012yes—
1836C2×C4#57612yes—
1837C2×C4C23×D411yescharacteristic
1838C2×C4C23×D411yescharacteristic
1839C2×C4C2×H(5,𝔽2)11yescharacteristic
1840C2×C4C2×H(5,𝔽2)11yescharacteristic
1841C2×C4C2×H(5,𝔽2)11yescharacteristic
1842C2×C4C2×H(5,𝔽2)11yescharacteristic
1843C8—22no—
1844C8—22no—
1845C8—22no—
1846C8—22no—
1847C8—41no—
1848C8—41no—
1849C8—41no—
1850C8—41no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—41no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22—81no—
1894C22—81no—
1895C22—81no—
1896C22—81no—
1897C22—81no—
1898C22—81no—
1899C22—81no—
1900C22—81no—
1901C22—81no—
1902C22—81no—
1903C22—81no—
1904C22—81no—
1905C22—81no—
1906C22—81no—
1907C22—81no—
1908C22—81no—
1909C22—81no—
1910C22—81no—
1911C22—81no—
1912C22—81no—
1913C22—81no—
1914C22—81no—
1915C22—81no—
1916C22—81no—
1917C22—81no—
1918C22—81no—
1919C22—81no—
1920C22—81no—
1921C22—81no—
1922C22—81no—
1923C22—81no—
1924C22—81no—
1925C22—81no—
1926C22—81no—
1927C22—81no—
1928C22—168no—
1929C22—168no—
1930C22—168no—
1931C22—168no—
1932C22—168no—
1933C22C22×#12011yescharacteristic
1934C22#349811yescharacteristic
1935C22#349811yescharacteristic
1936C22C2×#57611yescharacteristic
1937C22C2×#57611yescharacteristic
1938C22#358511yescharacteristic
1939C22#358511yescharacteristic
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—22no—
1944C4—22no—
1945C4—22no—
1946C4—41no—
1947C4—41no—
1948C4—42no—
1949C4—41no—
1950C4—41no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—81no—
1955C4—81no—
1956C4—81no—
1957C4—81no—
1958C4—81no—
1959C4#348411yescharacteristic
1960C4#348411yescharacteristic
1961C4#349811yescharacteristic
1962C4#349811yescharacteristic
1963C2—42no—
1964C2—42no—
1965C2—81no—
1966C2—82no—
1967C2—82no—
1968C2—82no—
1969C2—82no—
1970C2—82no—
1971C2—161no—
1972C2—161no—
1973C2—161no—
1974C2#3552711yescharacteristic
1975C2#6037211yescharacteristic
1976C2#6037211yescharacteristic
1977C2#6243111yescharacteristic
1978C2#6244111yescharacteristic
1979C2#6245911yescharacteristic
1980C2#6246311yescharacteristic
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×#3220C2semidirect
3. C2×#3155C2semidirect
4. #37278C2semidirect
5. #25770C2semidirect
6. #25763C2semidirect
7. #25762C2semidirect
8. #25757C2semidirect
9. #25736C2semidirect
10. #25734C2semidirect
11. #25725C2semidirect
12. #25721C2semidirect
13. #25642C2semidirect
14. #25637C2semidirect
15. #25635C2semidirect
16. #25631C2semidirect
17. #25611C2semidirect
18. #25608C2semidirect
19. #25605C2semidirect
20. #25601C2semidirect
21. #23869C2semidirect
22. #23861C2semidirect
23. #23860C2semidirect
24. #23860C2semidirect
25. #23857C2semidirect
26. #23850C2semidirect
27. #23848C2semidirect
28. #23848C2semidirect
29. #21813C2semidirect
30. #21414C2semidirect
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
42. C2×#550C22semidirect
45. C2×#546C22semidirect
49. C2×D42C22semidirect
52. C2×#540C22semidirect
55. C2×#535C22semidirect
56. C2×#535C22semidirect
59. C22×#127C22semidirect
61. C2×#529C22semidirect
64. C2×#496C22semidirect
65. C2×#496C22semidirect
66. C2×#496C22semidirect
67. C2×#496C22semidirect
68. C2×#496C22semidirect
69. C2×#495C22semidirect
70. C2×#495C22semidirect
71. C2×#493C22semidirect
72. C2×#493C22semidirect
73. C2×#493C22semidirect
74. C2×#490C22semidirect
75. C2×#488C22semidirect
76. C2×#463C22semidirect
77. C2×#463C22semidirect
78. C2×#459C22semidirect
79. C2×#459C22semidirect
80. C2×#452C22semidirect
81. C2×#449C22semidirect
82. C2×#449C22semidirect
83. C2×#449C22semidirect
84. C2×#449C22semidirect
85. C2×#449C22semidirect
86. C2×#450C22semidirect
87. C2×#450C22semidirect
88. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#447C22semidirect
91. C2×#447C22semidirect
92. C2×#447C22semidirect
93. C2×#447C22semidirect
94. C2×#447C22semidirect
95. C2×#447C22semidirect
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. #2014C22semidirect
125. #2014C22semidirect
126. #2014C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
129. #2012C22semidirect
132. #2011C22semidirect
133. #2011C22semidirect
134. #2011C22semidirect
135. #2011C22semidirect
136. #2011C22semidirect
137. #2011C22semidirect
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. #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. #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. #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×#32202
C2×#31552
#372782
#257702
#257632
#257622
#257572
#257362
#257342
#257252
#257212
#256422
#256372
#256352
#256312
#256112
#256082
#256052
#256012
#238692
#238612
#238602
#238572
#238502
#238482
#218132
#214142
#213812