Finite Group Databasebeta

← #6533603

Subgroups — #6533603

Order 512.

3675 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3C2×#3265C211yesmaximal, characteristic, complemented
4#38035C211yesmaximal, characteristic, complemented
5#29675C211yesmaximal, characteristic, complemented
6#29630C211yesmaximal, characteristic, complemented
7#29625C211yesmaximal, characteristic, complemented
8#25736C211yesmaximal, characteristic, complemented
9#25637C211yesmaximal, characteristic, complemented
10#25635C211yesmaximal, characteristic, complemented
11#25508C211yesmaximal, characteristic, complemented
12#25505C211yesmaximal, characteristic, complemented
13#24448C211yesmaximal, characteristic, complemented
14#24442C211yesmaximal, characteristic, complemented
15#24440C211yesmaximal, characteristic, complemented
16#24435C211yesmaximal, characteristic, complemented
17#24220C211yesmaximal, characteristic, complemented
18#24206C211yesmaximal, characteristic, complemented
19#24188C211yesmaximal, characteristic, complemented
20#23940C211yesmaximal, characteristic, complemented
21#23938C211yesmaximal, characteristic, complemented
22#23870C211yesmaximal, characteristic, complemented
23#23863C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23849C211yesmaximal, characteristic, complemented
26#23582C211yesmaximal, characteristic, complemented
27#23430C211yesmaximal, characteristic, complemented
28#23423C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22428C211yesmaximal, characteristic, complemented
31#22424C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36#3543—28no—
37#3543—28no—
38C2×#560—21no—
39C2×#560—21no—
40C2×#559C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#548C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546C2211yescharacteristic
46C2×#546C2211yescharacteristic
47C2×D42—21no—
48C2×D42C2211yescharacteristic
49C2×D42C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#540—21no—
52C2×#540C2211yescharacteristic
53C2×#540C2211yescharacteristic
54C2×#535—21no—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#534—21no—
58C2×#534—21no—
59C22×#127C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic
62#3275—28no—
63#3265—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#495C2211yescharacteristic, complemented
66C2×#470C2211yescharacteristic, complemented
67C2×#469C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic
69C2×#466C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#418C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2855C2211yescharacteristic, complemented
97#2710—21no—
98#2701—21no—
99#2700—21no—
100#2699—21no—
101#2624C2211yescharacteristic, complemented
102#2620C2211yescharacteristic, complemented
103#2592C2211yescharacteristic, complemented
104#2582C2211yescharacteristic, complemented
105#2560—21no—
106#2556—21no—
107#2466—21no—
108#2459—21no—
109#2415C2211yescharacteristic, complemented
110#2414C2211yescharacteristic, complemented
111#2409C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2354C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2310C2211yescharacteristic, complemented
116#2297C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2041C2211yescharacteristic
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2026C2211yescharacteristic, complemented
128#2026C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4—21no—
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C2×#137—24no—
222C2×#137—42no—
223C2×#137—42no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×SD16—24no—
233C22×SD16—42no—
234C22×SD16—42no—
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C23×C8C2311yescharacteristic
255#560—216no—
256#560—216no—
257#559—24no—
258#559—24no—
259#550—24no—
260#550—24no—
261#550—24no—
262#550—24no—
263#548—24no—
264#548—24no—
265#546—216no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546D418yescomplemented
270D42—216no—
271D42—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275D42—24no—
276D42D418yescomplemented
277#540—216no—
278#540—24no—
279#540—24no—
280#540—24no—
281#540—24no—
282#535—216no—
283#535—24no—
284#535—24no—
285#535—24no—
286#535—24no—
287#534—216no—
288#534—216no—
289C2×#127—24no—
290C2×#127—24no—
291C2×#127—21no—
292C2×#127—21no—
293C2×#127—21no—
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298C2×#127C2311yescharacteristic
299C2×#127C2311yescharacteristic
300#529—24no—
301#529—24no—
302#529—24no—
303#529—24no—
304C2×#126—21no—
305C2×#126D411yescharacteristic
306C2×#126D411yescharacteristic
307C2×#125D411yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#124—21no—
310C2×#124—21no—
311C2×#124D411yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#123—21no—
317C2×#123—21no—
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⋊Q8D411yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#120—21no—
361C2×#120—21no—
362C2×#120—21no—
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×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×#117—21no—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C22×C22⋊C4—21no—
393C22×C22⋊C4—21no—
394C22×C42C2311yescharacteristic
395#496—24no—
396#495—24no—
397#470—24no—
398#469—24no—
399#468—24no—
400#466—24no—
401#464—24no—
402#463—24no—
403#463—24no—
404#460—24no—
405#452—24no—
406#452—42no—
407#452—42no—
408#450—24no—
409#450—24no—
410#450—42no—
411#450—42no—
412#449—24no—
413#449—24no—
414#449—42no—
415#448—24no—
416#448—24no—
417#447—24no—
418#447—42no—
419#440—24no—
420C4×SD16—24no—
421#436—24no—
422#435—24no—
423C2×#107C2311yescharacteristic
424C2×#106C2311yescharacteristic
425C2×C4⋊C8C2311yescharacteristic
426C2×C4⋊C8C2311yescharacteristic
427#418—42no—
428#418—42no—
429#418—42no—
430#416—42no—
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×#97C2311yescharacteristic
476C2×C4×C8C2311yescharacteristic
477#399—21no—
478#398—21no—
479#398—21no—
480#397—21no—
481#397—21no—
482#397—21no—
483#396—21no—
484#396—21no—
485#395—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#393—21no—
494#393—21no—
495#392—21no—
496#392—21no—
497#391—21no—
498#391—21no—
499#391—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389—21no—
512#389—21no—
513#389—21no—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#387—21no—
526#387—21no—
527#387—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#384C2311yescharacteristic
536#381—21no—
537#381—21no—
538#381—21no—
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542C4×C4⋊C4—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
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—22no—
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—82no—
589C2×#41—82no—
590C2×#41C2×D414yes—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—22no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8C2×D411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×D4—21no—
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—28no—
614C22×D4—22no—
615C22×D4—22no—
616C22×D4—21no—
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—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—22no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
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—82no—
655C22×D4—82no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—82no—
659C22×D4—82no—
660C22×D4—82no—
661C22×D4—82no—
662C22×D4—82no—
663C22×D4—82no—
664C22×D4C2×D411yescharacteristic
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D414yes—
667C22×D4C2×D414yes—
668C22×D4C2×D414yes—
669C22×D4C2×D411yescharacteristic
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×C4—21no—
685C23×C4C2×D411yescharacteristic
686C23×C4C2×D411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690#137—416no—
691AGL(1,ℤ/8)—416no—
692AGL(1,ℤ/8)—416no—
693C2×Q16—22no—
694C2×Q16—22no—
695C2×Q16—22no—
696C2×Q16—22no—
697C2×Q16—41no—
698C2×Q16—41no—
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—22no—
715C2×SD16—22no—
716C2×SD16—22no—
717C2×SD16—22no—
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×SD16—41no—
729C2×SD16—41no—
730C2×SD16—41no—
731C2×SD16—41no—
732C2×SD16—416no—
733C2×D8—22no—
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—22no—
737C2×D8—22no—
738C2×D8—22no—
739C2×D8—22no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8—41no—
743C2×D8—41no—
744C2×D8—41no—
745C2×D8—41no—
746C2×D8—41no—
747C2×D8—41no—
748C2×M16—22no—
749C2×M16—22no—
750C2×M16—22no—
751C2×M16—22no—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16—41no—
755C2×M16—41no—
756C2×M16—41no—
757C22×C8—22no—
758C22×C8—22no—
759C22×C8—41no—
760C22×C8C2411yescharacteristic
761C22×C8C2411yescharacteristic
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C22×C8C2411yescharacteristic
767C22×C8C2411yescharacteristic
768#127—28no—
769#127—28no—
770#127—28no—
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#127—22no—
780#127—22no—
781#127—22no—
782#127C2×D414yes—
783#126—28no—
784#126—24no—
785#126—24no—
786#125—24no—
787#125—22no—
788#125—22no—
789#124—28no—
790#124—22no—
791#124—22no—
792#124—22no—
793#124—22no—
794#124—24no—
795#124—22no—
796#124—22no—
797#124—22no—
798#124—44no—
799#124C2×D414yes—
800#123—28no—
801#123—28no—
802#123—28no—
803#123—28no—
804#123—28no—
805#123—28no—
806#123—28no—
807#123—28no—
808#123—24no—
809#123—28no—
810#123—24no—
811C22⋊Q8—22no—
812C22⋊Q8—24no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—41no—
817C22⋊Q8—44no—
818C22⋊Q8—41no—
819C22⋊Q8—41no—
820C22⋊Q8C2×D414yes—
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—28no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—24no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—28no—
844#121—22no—
845#121—22no—
846#121—28no—
847#121—22no—
848#121—22no—
849#121—44no—
850#121—41no—
851#121—41no—
852#121C2×D414yes—
853#121C2×D414yes—
854#121C2×D414yes—
855#120—28no—
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—28no—
865#120—28no—
866#120—28no—
867C4×Q8—22no—
868C4×Q8—22no—
869C4×Q8—22no—
870C4×Q8—22no—
871C4×Q8—22no—
872C4×Q8—22no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—44no—
889C4×D4C2×D414yes—
890C4×D4C2×D414yes—
891C4×D4C2×D414yes—
892C4×D4C2×D414yes—
893#117—28no—
894#117—22no—
895#117—22no—
896#117—22no—
897#117—22no—
898#117—41no—
899#117—41no—
900#117—41no—
901#117—41no—
902C2×C4⋊C4—21no—
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—21no—
915C2×C4⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C22⋊C4—28no—
933C2×C22⋊C4—21no—
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—28no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C22⋊C4C2×D411yescharacteristic
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C42—21no—
980C2×C42—22no—
981C2×C42—22no—
982C2×C42—21no—
983C2×C42—21no—
984C2×C42—21no—
985C2×C42—21no—
986C2×C42C2×D411yescharacteristic
987C2×C42C2×D411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992#107—22no—
993#106—22no—
994C4⋊C8—22no—
995C4⋊C8—22no—
996#103—22no—
997#103—22no—
998#103—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—41no—
1003#103—41no—
1004#103—41no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
1013#102—22no—
1014#102—22no—
1015#102—22no—
1016#102—22no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102—41no—
1021#102—41no—
1022#102—41no—
1023#102—41no—
1024#102—41no—
1025#102—41no—
1026#102—41no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030#102—41no—
1031#102—41no—
1032C22⋊C8—22no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038C22⋊C8—41no—
1039C22⋊C8—41no—
1040#97—22no—
1041C4×C8—22no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058#95—21no—
1059#95—21no—
1060#95—21no—
1061C24—24no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—24no—
1068C24—24no—
1069C24—24no—
1070C24—21no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
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—
1095C24C22×D411yescharacteristic
1096C24C22×D411yescharacteristic
1097C24C22×D411yescharacteristic
1098#41—44no—
1099#41—44no—
1100#41—44no—
1101#41—44no—
1102#41—82no—
1103#41—82no—
1104#41—82no—
1105#41—82no—
1106#41—82no—
1107#41—82no—
1108#41—82no—
1109#41—82no—
1110#41—816no—
1111C2×Q8—22no—
1112C2×Q8—22no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—41no—
1130C2×Q8—42no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—42no—
1134C2×Q8—81no—
1135C2×Q8—82no—
1136C2×Q8—82no—
1137C2×Q8C22×D412yes—
1138C2×Q8H(5,𝔽2)12yes—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
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—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—22no—
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—41no—
1206C2×D4—41no—
1207C2×D4—42no—
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—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
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—816no—
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—816no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—816no—
1276C2×D4—816no—
1277C2×D4#12014yes—
1278C2×D4C22×D412yes—
1279C2×D4C22×D412yes—
1280C2×D4C22×D412yes—
1281C2×D4C22×D412yes—
1282C2×D4C22×D412yes—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—81no—
1327C22×C4—81no—
1328C22×C4—81no—
1329C22×C4—81no—
1330C22×C4—81no—
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×C4C22×D411yescharacteristic
1341C22×C4C22×D411yescharacteristic
1342C22×C4C22×D411yescharacteristic
1343C22×C4C22×D411yescharacteristic
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D411yescharacteristic
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D412yes—
1351C22×C4C22×D412yes—
1352C22×C4C22×D412yes—
1353C22×C4C22×D412yes—
1354C22×C4C22×D411yescharacteristic
1355C22×C4C2511yescharacteristic
1356Q16—44no—
1357Q16—44no—
1358SD16—28no—
1359SD16—28no—
1360SD16—44no—
1361SD16—44no—
1362SD16—44no—
1363SD16—44no—
1364SD16—44no—
1365SD16—44no—
1366SD16—82no—
1367SD16—82no—
1368SD16—82no—
1369D8—44no—
1370D8—44no—
1371D8—44no—
1372D8—44no—
1373D8—82no—
1374M16—44no—
1375M16—44no—
1376M16—44no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
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—44no—
1400C2×C8H(5,𝔽2)12yes—
1401C2×C8H(5,𝔽2)12yes—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—81no—
1431C4⋊C4—81no—
1432C4⋊C4—81no—
1433C4⋊C4—81no—
1434C4⋊C4—81no—
1435C4⋊C4—81no—
1436C4⋊C4#12014yes—
1437C4⋊C4C22×D412yes—
1438C4⋊C4C22×D412yes—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—81no—
1471C22⋊C4—81no—
1472C22⋊C4—81no—
1473C22⋊C4—81no—
1474C22⋊C4—81no—
1475C22⋊C4—81no—
1476C22⋊C4—81no—
1477C22⋊C4—81no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C22⋊C4#12014yes—
1483C22⋊C4#12014yes—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—42no—
1494C42—81no—
1495C42—81no—
1496C42—81no—
1497C42C22×D412yes—
1498C42C22×D412yes—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—48no—
1524C23—48no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
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—84no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—162no—
1573C23—162no—
1574C23—162no—
1575C23—162no—
1576C23—162no—
1577C23—162no—
1578C23—162no—
1579C23—162no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23—162no—
1584C23—162no—
1585C23—162no—
1586C23—162no—
1587C23—162no—
1588C23C2×#12012yes—
1589C23C2×#12012yes—
1590C23C23×D411yescharacteristic
1591Q8—22no—
1592Q8—22no—
1593Q8—22no—
1594Q8—22no—
1595Q8—44no—
1596Q8—41no—
1597Q8—41no—
1598Q8—41no—
1599Q8—41no—
1600Q8—41no—
1601Q8—41no—
1602Q8—41no—
1603Q8—41no—
1604Q8—84no—
1605D4—22no—
1606D4—22no—
1607D4—22no—
1608D4—22no—
1609D4—22no—
1610D4—22no—
1611D4—22no—
1612D4—22no—
1613D4—22no—
1614D4—22no—
1615D4—44no—
1616D4—44no—
1617D4—48no—
1618D4—48no—
1619D4—44no—
1620D4—48no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—84no—
1650D4—84no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—162no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4C2×#12012yes—
1740C2×C4C2×#12012yes—
1741C2×C4C2×#12012yes—
1742C2×C4C2×#12012yes—
1743C2×C4#57712yes—
1744C2×C4C23×D411yescharacteristic
1745C2×C4C23×D411yescharacteristic
1746C2×C4C2×H(5,𝔽2)11yescharacteristic
1747C2×C4C2×H(5,𝔽2)11yescharacteristic
1748C2×C4C2×H(5,𝔽2)11yescharacteristic
1749C2×C4#58511yescharacteristic
1750C8—22no—
1751C8—22no—
1752C8—41no—
1753C8—41no—
1754C8—41no—
1755C8—41no—
1756C8—41no—
1757C8—41no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—168no—
1822C22—168no—
1823C22—168no—
1824C22—168no—
1825C22C22×#12011yescharacteristic
1826C22#348811yescharacteristic
1827C22#349811yescharacteristic
1828C22C2×#57711yescharacteristic
1829C22#358511yescharacteristic
1830C22#358511yescharacteristic
1831C22#358511yescharacteristic
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—81no—
1848C4—81no—
1849C4—81no—
1850C4—81no—
1851C4—81no—
1852C4—81no—
1853C4#348411yescharacteristic
1854C4#348411yescharacteristic
1855C4#349611yescharacteristic
1856C4#349611yescharacteristic
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—82no—
1861C2—82no—
1862C2—82no—
1863C2—82no—
1864C2—82no—
1865C2—161no—
1866C2#3568011yescharacteristic
1867C2#6036711yescharacteristic
1868C2#6037311yescharacteristic
1869C2#6203511yescharacteristic
1870C2#6208111yescharacteristic
1871C2#6244111yescharacteristic
1872C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3543C2semidirect
2. C2×#3275C2semidirect
3. C2×#3265C2semidirect
4. #38035C2semidirect
5. #29675C2semidirect
6. #29630C2semidirect
7. #29625C2semidirect
8. #25736C2semidirect
9. #25637C2semidirect
10. #25635C2semidirect
11. #25508C2semidirect
12. #25505C2semidirect
13. #24448C2semidirect
14. #24442C2semidirect
15. #24440C2semidirect
16. #24435C2semidirect
17. #24220C2semidirect
18. #24206C2semidirect
19. #24188C2semidirect
20. #23940C2semidirect
21. #23938C2semidirect
22. #23870C2semidirect
23. #23863C2semidirect
24. #23860C2semidirect
25. #23849C2semidirect
26. #23582C2semidirect
27. #23430C2semidirect
28. #23423C2semidirect
29. #22472C2semidirect
30. #22428C2semidirect
31. #22424C2semidirect
32. C22×#137C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C23×SD16C22semidirect
43. C2×#548C22semidirect
64. C2×#496C22semidirect
65. C2×#495C22semidirect
66. C2×#470C22semidirect
67. C2×#469C22semidirect
69. C2×#466C22semidirect
70. C2×#464C22semidirect
71. C2×#460C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
82. C2×#450C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#440C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#418C22semidirect
93. C2×#418C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. #2855C22semidirect
101. #2624C22semidirect
102. #2620C22semidirect
103. #2592C22semidirect
104. #2582C22semidirect
109. #2415C22semidirect
110. #2414C22semidirect
111. #2409C22semidirect
112. #2407C22semidirect
113. #2354C22semidirect
114. #2323C22semidirect
115. #2310C22semidirect
116. #2297C22semidirect
117. #2059C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2034C22semidirect
126. #2033C22semidirect
127. #2026C22semidirect
128. #2026C22semidirect
129. #2025C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1959C22semidirect
162. #1957C22semidirect
164. #1895C22semidirect
165. #1894C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
269. #546D4semidirect
276. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35432
C2×#32752
C2×#32652
#380352
#296752
#296302
#296252
#257362
#256372
#256352
#255082
#255052
#244482
#244422
#244402
#244352
#242202
#242062
#241882
#239402
#239382
#238702
#238632
#238602
#238492
#235822
#234302
#234232
#224722
#224282
#224242