Finite Group Databasebeta

← #6533596

Subgroups — #6533596

Order 512.

3660 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3274C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4#38026C211yesmaximal, characteristic, complemented
5#29669C211yesmaximal, characteristic, complemented
6#29630C211yesmaximal, characteristic, complemented
7#29628C211yesmaximal, characteristic, complemented
8#25734C211yesmaximal, characteristic, complemented
9#25644C211yesmaximal, characteristic, complemented
10#25631C211yesmaximal, characteristic, complemented
11#25513C211yesmaximal, characteristic, complemented
12#25502C211yesmaximal, characteristic, complemented
13#24451C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24440C211yesmaximal, characteristic, complemented
16#24438C211yesmaximal, characteristic, complemented
17#24218C211yesmaximal, characteristic, complemented
18#24196C211yesmaximal, characteristic, complemented
19#24193C211yesmaximal, characteristic, complemented
20#23945C211yesmaximal, characteristic, complemented
21#23930C211yesmaximal, characteristic, complemented
22#23869C211yesmaximal, characteristic, complemented
23#23864C211yesmaximal, characteristic, complemented
24#23861C211yesmaximal, characteristic, complemented
25#23848C211yesmaximal, characteristic, complemented
26#23583C211yesmaximal, characteristic, complemented
27#23428C211yesmaximal, characteristic, complemented
28#23422C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22427C211yesmaximal, characteristic, complemented
31#22422C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36#3546—28no—
37#3546—28no—
38C2×#560—21no—
39C2×#560—21no—
40C2×#556C2211yescharacteristic, complemented
41C2×#553—21no—
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic, complemented
44C2×#550C2211yescharacteristic, complemented
45C2×#547C2211yescharacteristic, complemented
46C2×#546—21no—
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic, complemented
49C2×D42C2211yescharacteristic, complemented
50C2×D42C2211yescharacteristic, complemented
51C2×#542C2211yescharacteristic, complemented
52C2×#542C2211yescharacteristic, complemented
53C2×#538—21no—
54C2×#538—21no—
55C2×#537—21no—
56C2×#535—21no—
57C2×#535C2211yescharacteristic, complemented
58C2×#535C2211yescharacteristic, complemented
59C2×#532C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic, complemented
61C2×#529C2211yescharacteristic
62#3274—28no—
63#3264—28no—
64C2×#496C2211yescharacteristic
65C2×#493C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic
67C2×#469C2211yescharacteristic
68C2×#469C2211yescharacteristic, complemented
69C2×#465C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic
72C2×#459C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2854C2211yescharacteristic, complemented
97#2714—21no—
98#2711—21no—
99#2685—21no—
100#2670—21no—
101#2624C2211yescharacteristic, complemented
102#2619C2211yescharacteristic, complemented
103#2580C2211yescharacteristic, complemented
104#2548C2211yescharacteristic, complemented
105#2539—21no—
106#2472—21no—
107#2416C2211yescharacteristic, complemented
108#2414C2211yescharacteristic
109#2410—21no—
110#2408C2211yescharacteristic
111#2408C2211yescharacteristic, complemented
112#2405—21no—
113#2352C2211yescharacteristic, complemented
114#2324C2211yescharacteristic, complemented
115#2309C2211yescharacteristic, complemented
116C2×#390C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2043C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2023C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2013C2211yescharacteristic, complemented
131#2013C2211yescharacteristic, complemented
132#2013C2211yescharacteristic, complemented
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1961C2211yescharacteristic, complemented
162#1958C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C22×#41C2311yescharacteristic
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—42no—
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×AGL(1,ℤ/8)—42no—
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×D8—24no—
235C22×D8—42no—
236C22×D8—42no—
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#560—216no—
254#560—216no—
255#556—24no—
256#556—24no—
257#553—216no—
258#550—24no—
259#550—24no—
260#550—24no—
261#550—24no—
262#550—24no—
263#550D418yescomplemented
264#547—24no—
265#547—24no—
266#546—216no—
267#546—24no—
268#546—24no—
269#546—24no—
270#546D418yescomplemented
271D42—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275#542—24no—
276#542—24no—
277#542—24no—
278#542—24no—
279#538—216no—
280#538—216no—
281#537—216no—
282#535—216no—
283#535—24no—
284#535—24no—
285#535—24no—
286#535—24no—
287#532—24no—
288#532—24no—
289#532—24no—
290#532—24no—
291C2×C4⋊Q8C2311yescharacteristic
292C2×C4⋊Q8C2311yescharacteristic
293C2×#127—21no—
294C2×#127—21no—
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298C2×#127C2311yescharacteristic
299C2×#127C2311yescharacteristic
300#529—24no—
301#529—24no—
302C2×#126—21no—
303C2×#126—21no—
304C2×#126—21no—
305C2×#126—21no—
306C2×#126D411yescharacteristic
307C2×#126D411yescharacteristic
308C2×#125D411yescharacteristic
309C2×#124—21no—
310C2×#124—21no—
311C2×#124—21no—
312C2×#124—21no—
313C2×#124D411yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#123—21no—
319C2×#123—21no—
320C2×#123—21no—
321C2×#123—21no—
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123D411yescharacteristic
326C2×#123D411yescharacteristic
327C2×C22⋊Q8—21no—
328C2×C22⋊Q8—21no—
329C2×C22⋊Q8—21no—
330C2×C22⋊Q8D411yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
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×#121D411yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#120—21no—
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×C4×D4—21no—
382C2×C4×D4—21no—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×#117—21no—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C22×C4⋊C4—21no—
396C22×C4⋊C4C2311yescharacteristic
397C22×C22⋊C4—21no—
398C22×C22⋊C4—21no—
399C22×C22⋊C4—21no—
400C22×C22⋊C4—21no—
401C22×C42C2311yescharacteristic
402#496—24no—
403#493—24no—
404#469—24no—
405#469—24no—
406#469—24no—
407#465—24no—
408#463—24no—
409#460—24no—
410#459—24no—
411#459—24no—
412#450—24no—
413#449—24no—
414#449—24no—
415#449—24no—
416#449—42no—
417#449—42no—
418#449—42no—
419#447—24no—
420#447—24no—
421#447—24no—
422#447—24no—
423#447—42no—
424#447—42no—
425#447—42no—
426#442—24no—
427C4×SD16—24no—
428#436—24no—
429#435—24no—
430C2×#106C2311yescharacteristic
431C2×#106C2311yescharacteristic
432C2×C4⋊C8C2311yescharacteristic
433C2×C4⋊C8C2311yescharacteristic
434#418—42no—
435#417—42no—
436#417—42no—
437#416—42no—
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
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×#97C2311yescharacteristic
483C2×C4×C8C2311yescharacteristic
484#399—21no—
485#399—21no—
486#397—21no—
487#396—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#394—21no—
497#394—21no—
498#393—21no—
499#392—21no—
500#392—21no—
501#392—21no—
502#392—21no—
503#392—21no—
504#390—21no—
505#390—21no—
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390—21no—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#388—21no—
524#388—21no—
525#388—21no—
526#388—21no—
527#388—21no—
528#387—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#382C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541#379—21no—
542#379—21no—
543#379—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C25—21no—
570C2×#41—28no—
571C2×#41—28no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
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—82no—
594C2×#41—82no—
595C2×#41—82no—
596C2×#41—82no—
597C2×#41C2×D414yes—
598C2×#41C2×D414yes—
599C2×#41C2×D414yes—
600C22×Q8—21no—
601C22×Q8C2×D411yescharacteristic
602C22×Q8C2411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×D4—28no—
605C22×D4—21no—
606C22×D4—21no—
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—21no—
618C22×D4—21no—
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—22no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
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—44no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—82no—
659C22×D4—82no—
660C22×D4C2×D411yescharacteristic
661C22×D4C2×D411yescharacteristic
662C22×D4C2×D414yes—
663C22×D4C2×D411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4C2×D411yescharacteristic
682C23×C4C2×D411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686AGL(1,ℤ/8)—416no—
687AGL(1,ℤ/8)—416no—
688AGL(1,ℤ/8)—416no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—22no—
725C2×D8—22no—
726C2×D8—22no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×D8—41no—
732C2×D8—41no—
733C2×D8—41no—
734C2×D8—41no—
735C2×D8—41no—
736C2×D8—41no—
737C2×D8—41no—
738C2×D8—41no—
739C2×D8—41no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8—41no—
743C2×D8—416no—
744C2×M16—22no—
745C2×M16—22no—
746C2×M16—22no—
747C2×M16—22no—
748C2×M16—22no—
749C2×M16—22no—
750C2×M16—41no—
751C2×M16—41no—
752C2×M16—41no—
753C22×C8—22no—
754C22×C8—22no—
755C22×C8—41no—
756C22×C8C2411yescharacteristic
757C22×C8C2411yescharacteristic
758C22×C8C2411yescharacteristic
759C22×C8C2411yescharacteristic
760C22×C8C2411yescharacteristic
761C22×C8C2411yescharacteristic
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C4⋊Q8—22no—
765C4⋊Q8—22no—
766C4⋊Q8—22no—
767C4⋊Q8—22no—
768#127—28no—
769#127—28no—
770#127—22no—
771#127—22no—
772#127—22no—
773#127—22no—
774#127—22no—
775#127—22no—
776#127—22no—
777#127—22no—
778#127—22no—
779#127C2×D414yes—
780#126—28no—
781#126—28no—
782#126—28no—
783#126—28no—
784#126—24no—
785#126—24no—
786#125—24no—
787#124—28no—
788#124—28no—
789#124—28no—
790#124—22no—
791#124—22no—
792#124—22no—
793#124—22no—
794#124—22no—
795#124—22no—
796#124—24no—
797#124—22no—
798#124—82no—
799#124C2×D414yes—
800#123—28no—
801#123—28no—
802#123—28no—
803#123—28no—
804#123—28no—
805#123—24no—
806#123—28no—
807#123—24no—
808#123—82no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—24no—
816C22⋊Q8C2×D414yes—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—28no—
827#121—28no—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—24no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—41no—
847#121—44no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—82no—
853#121C2×D414yes—
854#121C2×D414yes—
855#121C2×D414yes—
856#120—28no—
857#120—28no—
858#120—28no—
859#120—28no—
860#120—28no—
861#120—28no—
862#120—28no—
863#120—28no—
864#120—44no—
865#120—44no—
866#120—82no—
867#120—82no—
868C4×Q8—22no—
869C4×Q8—22no—
870C4×Q8—22no—
871C4×Q8—22no—
872C4×Q8—22no—
873C4×Q8C2×D414yes—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—28no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4C2×D414yes—
893C4×D4C2×D414yes—
894C4×D4C2×D414yes—
895#117—28no—
896#117—22no—
897#117—22no—
898#117—22no—
899#117—22no—
900#117—41no—
901#117—41no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—41no—
915C2×C4⋊C4—41no—
916C2×C4⋊C4C2×D411yescharacteristic
917C2×C4⋊C4C2×D411yescharacteristic
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C4⋊C4C2×D411yescharacteristic
920C2×C4⋊C4C2×D411yescharacteristic
921C2×C4⋊C4C2×D411yescharacteristic
922C2×C4⋊C4C2×D411yescharacteristic
923C2×C4⋊C4C2×D411yescharacteristic
924C2×C4⋊C4C2×D411yescharacteristic
925C2×C4⋊C4C2×D411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C22⋊C4—28no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—28no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
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—82no—
982C2×C22⋊C4—82no—
983C2×C22⋊C4C2×D411yescharacteristic
984C2×C22⋊C4C2×D411yescharacteristic
985C2×C22⋊C4C2×D411yescharacteristic
986C2×C22⋊C4C2×D411yescharacteristic
987C2×C22⋊C4C2×D411yescharacteristic
988C2×C22⋊C4C2×D411yescharacteristic
989C2×C22⋊C4C2×D411yescharacteristic
990C2×C22⋊C4C2×D411yescharacteristic
991C2×C22⋊C4C2×D411yescharacteristic
992C2×C22⋊C4C2×D411yescharacteristic
993C2×C42—21no—
994C2×C42—21no—
995C2×C42—22no—
996C2×C42—22no—
997C2×C42—21no—
998C2×C42—21no—
999C2×C42C2×D411yescharacteristic
1000C2×C42C2×D411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005#106—22no—
1006#106—22no—
1007C4⋊C8—22no—
1008C4⋊C8—22no—
1009#103—22no—
1010#103—22no—
1011#103—22no—
1012#103—22no—
1013#103—41no—
1014#103—41no—
1015#103—41no—
1016#103—41no—
1017#103—41no—
1018#103—41no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—41no—
1034#102—41no—
1035#102—41no—
1036#102—41no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044#102—41no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—22no—
1048C22⋊C8—22no—
1049C22⋊C8—22no—
1050C22⋊C8—22no—
1051C22⋊C8—41no—
1052C22⋊C8—41no—
1053#97—22no—
1054C4×C8—22no—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058#95—21no—
1059#95—21no—
1060#95—21no—
1061#95—21no—
1062#95—21no—
1063#95—21no—
1064C24—24no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—24no—
1071C24—21no—
1072C24—21no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24C22×D411yescharacteristic
1100C24C22×D411yescharacteristic
1101C24C22×D411yescharacteristic
1102#41—44no—
1103#41—44no—
1104#41—44no—
1105#41—44no—
1106#41—44no—
1107#41—44no—
1108#41—82no—
1109#41—82no—
1110#41—82no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—816no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118#41—82no—
1119#41—816no—
1120C2×Q8—24no—
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—41no—
1134C2×Q8—81no—
1135C2×Q8—81no—
1136C2×Q8C22×D412yes—
1137C2×Q8C22×D412yes—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—22no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
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—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—816no—
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—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—816no—
1282C2×D4#12014yes—
1283C2×D4C22×D412yes—
1284C2×D4C22×D412yes—
1285C2×D4C22×D412yes—
1286C2×D4C22×D412yes—
1287C2×D4H(5,𝔽2)12yes—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—81no—
1332C22×C4—81no—
1333C22×C4—81no—
1334C22×C4—81no—
1335C22×C4—81no—
1336C22×C4—81no—
1337C22×C4—81no—
1338C22×C4—81no—
1339C22×C4—81no—
1340C22×C4—81no—
1341C22×C4—81no—
1342C22×C4—81no—
1343C22×C4—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4—81no—
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D412yes—
1358C22×C4C22×D412yes—
1359C22×C4C22×D412yes—
1360C22×C4C22×D412yes—
1361C22×C4C22×D411yescharacteristic
1362C22×C4C2511yescharacteristic
1363SD16—28no—
1364SD16—44no—
1365SD16—44no—
1366SD16—44no—
1367SD16—44no—
1368SD16—82no—
1369D8—28no—
1370D8—44no—
1371D8—44no—
1372D8—44no—
1373D8—44no—
1374D8—44no—
1375D8—44no—
1376D8—44no—
1377D8—44no—
1378D8—82no—
1379D8—82no—
1380D8—82no—
1381M16—44no—
1382M16—44no—
1383M16—44no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—44no—
1407C2×C8H(5,𝔽2)12yes—
1408C2×C8H(5,𝔽2)12yes—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—81no—
1438C4⋊C4—81no—
1439C4⋊C4—81no—
1440C4⋊C4—81no—
1441C4⋊C4#12014yes—
1442C4⋊C4C22×D412yes—
1443C4⋊C4C22×D412yes—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C22⋊C4—81no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C22⋊C4—81no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4#12014yes—
1499C22⋊C4#12014yes—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—24no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—81no—
1511C42—81no—
1512C42C22×D412yes—
1513C42C22×D412yes—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
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—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—162no—
1595C23—162no—
1596C23—162no—
1597C23—162no—
1598C23—162no—
1599C23—162no—
1600C23—162no—
1601C23—162no—
1602C23—162no—
1603C23—162no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23C2×#12012yes—
1611C23C2×#12012yes—
1612C23C23×D411yescharacteristic
1613Q8—22no—
1614Q8—22no—
1615Q8—22no—
1616Q8—22no—
1617Q8—44no—
1618Q8—41no—
1619Q8—41no—
1620Q8—41no—
1621Q8—41no—
1622Q8—84no—
1623D4—22no—
1624D4—22no—
1625D4—22no—
1626D4—22no—
1627D4—22no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—44no—
1634D4—44no—
1635D4—48no—
1636D4—41no—
1637D4—41no—
1638D4—41no—
1639D4—41no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—82no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680D4—162no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
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—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
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—84no—
1752C2×C4—84no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—82no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—162no—
1760C2×C4C2×#12012yes—
1761C2×C4C2×#12012yes—
1762C2×C4C2×#12012yes—
1763C2×C4C2×#12012yes—
1764C2×C4#57612yes—
1765C2×C4C23×D411yescharacteristic
1766C2×C4C23×D411yescharacteristic
1767C2×C4C2×H(5,𝔽2)11yescharacteristic
1768C2×C4C2×H(5,𝔽2)11yescharacteristic
1769C2×C4C2×H(5,𝔽2)11yescharacteristic
1770C2×C4#58511yescharacteristic
1771C8—22no—
1772C8—22no—
1773C8—41no—
1774C8—41no—
1775C8—41no—
1776C8—41no—
1777C8—41no—
1778C8—41no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—42no—
1795C22—41no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—81no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
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—168no—
1850C22—168no—
1851C22—168no—
1852C22—168no—
1853C22C22×#12011yescharacteristic
1854C22#348811yescharacteristic
1855C22#349811yescharacteristic
1856C22C2×#57611yescharacteristic
1857C22#358511yescharacteristic
1858C22#358511yescharacteristic
1859C22#358511yescharacteristic
1860C4—22no—
1861C4—22no—
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—81no—
1876C4—81no—
1877C4—81no—
1878C4—81no—
1879C4—81no—
1880C4#348411yescharacteristic
1881C4#348411yescharacteristic
1882C4#349611yescharacteristic
1883C4#349611yescharacteristic
1884C2—42no—
1885C2—42no—
1886C2—81no—
1887C2—82no—
1888C2—82no—
1889C2—82no—
1890C2—82no—
1891C2—82no—
1892C2—161no—
1893C2—161no—
1894C2#3568011yescharacteristic
1895C2#6036911yescharacteristic
1896C2#6037211yescharacteristic
1897C2#6204011yescharacteristic
1898C2#6208311yescharacteristic
1899C2#6244311yescharacteristic
1900C2#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×#3546C2semidirect
2. C2×#3274C2semidirect
3. C2×#3264C2semidirect
4. #38026C2semidirect
5. #29669C2semidirect
6. #29630C2semidirect
7. #29628C2semidirect
8. #25734C2semidirect
9. #25644C2semidirect
10. #25631C2semidirect
11. #25513C2semidirect
12. #25502C2semidirect
13. #24451C2semidirect
14. #24444C2semidirect
15. #24440C2semidirect
16. #24438C2semidirect
17. #24218C2semidirect
18. #24196C2semidirect
19. #24193C2semidirect
20. #23945C2semidirect
21. #23930C2semidirect
22. #23869C2semidirect
23. #23864C2semidirect
24. #23861C2semidirect
25. #23848C2semidirect
26. #23583C2semidirect
27. #23428C2semidirect
28. #23422C2semidirect
29. #22472C2semidirect
30. #22427C2semidirect
31. #22422C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
40. C2×#556C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
45. C2×#547C22semidirect
48. C2×#546C22semidirect
49. C2×D42C22semidirect
50. C2×D42C22semidirect
51. C2×#542C22semidirect
52. C2×#542C22semidirect
57. C2×#535C22semidirect
58. C2×#535C22semidirect
59. C2×#532C22semidirect
60. C2×#532C22semidirect
65. C2×#493C22semidirect
68. C2×#469C22semidirect
69. C2×#465C22semidirect
70. C2×#460C22semidirect
72. C2×#459C22semidirect
73. C2×#459C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#442C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#417C22semidirect
93. C2×#417C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. #2854C22semidirect
101. #2624C22semidirect
102. #2619C22semidirect
103. #2580C22semidirect
104. #2548C22semidirect
107. #2416C22semidirect
111. #2408C22semidirect
113. #2352C22semidirect
114. #2324C22semidirect
115. #2309C22semidirect
116. C2×#390C22semidirect
117. #2058C22semidirect
118. #2043C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2041C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2035C22semidirect
126. #2034C22semidirect
127. #2023C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
130. #2013C22semidirect
131. #2013C22semidirect
132. #2013C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1961C22semidirect
162. #1958C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1894C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1875C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1864C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1763C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
263. #550D4semidirect
270. #546D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#32742
C2×#32642
#380262
#296692
#296302
#296282
#257342
#256442
#256312
#255132
#255022
#244512
#244442
#244402
#244382
#242182
#241962
#241932
#239452
#239302
#238692
#238642
#238612
#238482
#235832
#234282
#234222
#224722
#224272
#224222