Finite Group Databasebeta

← #6595896

Subgroups — #6595896

Order 512.

3558 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3316C211yesmaximal, characteristic, complemented
3C2×#3265C211yesmaximal, characteristic, complemented
4#36374C211yesmaximal, characteristic, complemented
5#33007C211yesmaximal, characteristic, complemented
6#33004C211yesmaximal, characteristic, complemented
7#32910C211yesmaximal, characteristic, complemented
8#25940C211yesmaximal, characteristic, complemented
9#25639C211yesmaximal, characteristic, complemented
10#25602C211yesmaximal, characteristic, complemented
11#25551C211yesmaximal, characteristic, complemented
12#25537C211yesmaximal, characteristic, complemented
13#25505C211yesmaximal, characteristic, complemented
14#25500C211yesmaximal, characteristic, complemented
15#24442C211yesmaximal, characteristic, complemented
16#24434C211yesmaximal, characteristic, complemented
17#24343C211yesmaximal, characteristic, complemented
18#24202C211yesmaximal, characteristic, complemented
19#24154C211yesmaximal, characteristic, complemented
20#23975C211yesmaximal, characteristic, complemented
21#23964C211yesmaximal, characteristic, complemented
22#23938C211yesmaximal, characteristic, complemented
23#23937C211yesmaximal, characteristic, complemented
24#23863C211yesmaximal, characteristic, complemented
25#23852C211yesmaximal, characteristic, complemented
26#22497C211yesmaximal, characteristic, complemented
27#22471C211yesmaximal, characteristic, complemented
28#22423C211yesmaximal, characteristic, complemented
29#21457C211yesmaximal, characteristic, complemented
30#20925C211yesmaximal, characteristic, complemented
31C2×#1877C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34#3481—28no—
35#3481—28no—
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#551—21no—
43C2×#551—21no—
44C2×#548C2211yescharacteristic
45C2×#546—21no—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×#532C2211yescharacteristic
50C2×#529—21no—
51C2×#529C2211yescharacteristic
52C2×#529C2211yescharacteristic
53C2×#525—21no—
54C2×#525—21no—
55C2×C4×#41C2211yescharacteristic
56C2×C4×#41C2211yescharacteristic
57C22×C4×D4—21no—
58C22×C4×D4C2211yescharacteristic
59C22×C4×D4C2211yescharacteristic
60#3316—28no—
61#3265—28no—
62C2×#496C2211yescharacteristic
63C2×#489C2211yescharacteristic, complemented
64C2×#481C2211yescharacteristic, complemented
65C2×#483C2211yescharacteristic, complemented
66C2×#475C2211yescharacteristic, complemented
67C2×#470C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic
69C2×#466C2211yescharacteristic
70C2×#465C2211yescharacteristic, complemented
71C2×#464C2211yescharacteristic, complemented
72C2×#460C2211yescharacteristic
73C2×#463C2211yescharacteristic
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#441C2211yescharacteristic, complemented
84C2×#440C2211yescharacteristic
85C2×#435C2211yescharacteristic
86C2×#435C2211yescharacteristic
87C2×#417C2211yescharacteristic, complemented
88C2×#418C2211yescharacteristic
89C22×#103C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic
91#2855C2211yescharacteristic, complemented
92#2854C2211yescharacteristic, complemented
93#2850C2211yescharacteristic, complemented
94#2592C2211yescharacteristic, complemented
95#2581C2211yescharacteristic, complemented
96#2477—21no—
97#2474—21no—
98#2465—21no—
99#2459—21no—
100#2444—21no—
101#2430—21no—
102#2416C2211yescharacteristic, complemented
103#2415C2211yescharacteristic, complemented
104#2409C2211yescharacteristic, complemented
105#2407C2211yescharacteristic, complemented
106#2364—21no—
107#2359—21no—
108#2352C2211yescharacteristic
109C4×C22⋊Q8C2211yescharacteristic, complemented
110#2297C2211yescharacteristic, complemented
111C2×#391C2211yescharacteristic, complemented
112#2059C2211yescharacteristic, complemented
113#2059C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2026C2211yescharacteristic, complemented
119#2026C2211yescharacteristic, complemented
120#2026C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1993C2211yescharacteristic, complemented
137#1988C2211yescharacteristic, complemented
138#1985C2211yescharacteristic, complemented
139#1985C2211yescharacteristic, complemented
140#1982C2211yescharacteristic
141#1961C2211yescharacteristic
142#1895C2211yescharacteristic
143#1894C2211yescharacteristic, complemented
144#1893C2211yescharacteristic
145#1892C2211yescharacteristic, complemented
146#1880C2211yescharacteristic, complemented
147#1879C2211yescharacteristic
148#1879C2211yescharacteristic
149#1879C2211yescharacteristic
150#1879C2211yescharacteristic, complemented
151#1879C2211yescharacteristic, complemented
152#1879C2211yescharacteristic, complemented
153#1879C2211yescharacteristic, complemented
154#1878C2211yescharacteristic, complemented
155#1878C2211yescharacteristic, complemented
156#1877C2211yescharacteristic
157#1877C2211yescharacteristic
158#1877C2211yescharacteristic
159#1877C2211yescharacteristic
160#1877C2211yescharacteristic
161#1877C2211yescharacteristic
162#1877C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic, complemented
172#1874C2211yescharacteristic
173#1873C2211yescharacteristic, complemented
174#1873C2211yescharacteristic, complemented
175#1873C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1864C2211yescharacteristic
182#1864C2211yescharacteristic
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1823C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1804C2211yescharacteristic
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201#1762C2211yescharacteristic
202#1749C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1728C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41D411yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4—21no—
216C24×C4—21no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×SD16—24no—
223C22×SD16—24no—
224C22×SD16—42no—
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#559—24no—
240#559—24no—
241#554—24no—
242#554—24no—
243#554—24no—
244#554D418yescomplemented
245#553—216no—
246#553—24no—
247#553—24no—
248#553—24no—
249#553—24no—
250#551—216no—
251#551—216no—
252#548—24no—
253#548—24no—
254#546—216no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546—24no—
259D42—24no—
260D42D418yescomplemented
261#532—24no—
262#532—24no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×#127C2311yescharacteristic
265#529—216no—
266#529—24no—
267#529—24no—
268#529—24no—
269#529—24no—
270C2×#126—21no—
271C2×#126—21no—
272C2×#126—21no—
273C2×#126—21no—
274C2×#125—21no—
275C2×#125C2311yescharacteristic
276C2×#125C2311yescharacteristic
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283#525—216no—
284#525—216no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#120—21no—
320C2×#120—21no—
321C2×#120—21no—
322C2×#120—21no—
323C4×#41—24no—
324C4×#41—24no—
325C4×#41—24no—
326C4×#41—24no—
327C2×C4×Q8D411yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×D4—216no—
333C2×C4×D4—21no—
334C2×C4×D4—24no—
335C2×C4×D4—24no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4—21no—
341C2×C4×D4—24no—
342C2×C4×D4—24no—
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4D411yescharacteristic
352C2×C4×D4D411yescharacteristic
353C2×C4×D4D411yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117—21no—
366C2×#117—21no—
367C2×#117—21no—
368C2×#117D411yescharacteristic
369C2×#117D411yescharacteristic
370C2×#117D411yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C22×C4⋊C4—21no—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C22⋊C4—21no—
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C42—21no—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385#496—24no—
386#489—24no—
387#483—24no—
388#481—24no—
389#475—24no—
390#470—24no—
391#468—24no—
392#466—24no—
393#465—24no—
394#464—24no—
395#463—24no—
396#460—24no—
397#452—24no—
398#452—24no—
399#452—42no—
400#451—24no—
401#450—24no—
402#449—24no—
403#449—42no—
404#448—24no—
405#447—24no—
406#441—24no—
407#440—24no—
408#435—24no—
409#435—24no—
410C2×#107C2311yescharacteristic
411C2×#106C2311yescharacteristic
412C2×#106C2311yescharacteristic
413C2×#106C2311yescharacteristic
414C2×C4⋊C8C2311yescharacteristic
415C2×C4⋊C8C2311yescharacteristic
416#418—42no—
417#417—24no—
418C2×#103—24no—
419C2×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#102—42no—
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×C22⋊C8C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×#97C2311yescharacteristic
461C2×#97C2311yescharacteristic
462#400—21no—
463#397—21no—
464#397—21no—
465#396—21no—
466#395—21no—
467#395—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#393—21no—
472#393—21no—
473#392—21no—
474#391—21no—
475#391—21no—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389—21no—
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#388—21no—
490#388—21no—
491#388—21no—
492#388—21no—
493#388—21no—
494#388—21no—
495#388—21no—
496#388—21no—
497#387—21no—
498#387—21no—
499#387—21no—
500#387—21no—
501#387—21no—
502#387—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#385—21no—
513#385—21no—
514#385—21no—
515#385—21no—
516#382C2311yescharacteristic
517#381—21no—
518#380C2311yescharacteristic
519#380C2311yescharacteristic
520#380C2311yescharacteristic
521C4×C4⋊C4—21no—
522C4×C4⋊C4C2311yescharacteristic
523C4×C22⋊C4—21no—
524C4×C22⋊C4—21no—
525C4×C22⋊C4—21no—
526C4×C22⋊C4—21no—
527C2×#95—21no—
528C2×#95—21no—
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#336C2311yescharacteristic
546#336C2311yescharacteristic
547#336C2311yescharacteristic
548#336C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557C25—21no—
558C25—21no—
559C2×#41—28no—
560C2×#41—22no—
561C2×#41—24no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—42no—
569C2×#41—42no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—82no—
576C2×#41—82no—
577C22×Q8—21no—
578C22×Q8—21no—
579C22×Q8—22no—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—41no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8C2×D411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—28no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—21no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D414yes—
617C22×D4C2×D414yes—
618C22×D4C2×D411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C23×C4—28no—
624C23×C4—28no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—82no—
640C23×C4—82no—
641C23×C4—82no—
642C23×C4—82no—
643C23×C4C2×D411yescharacteristic
644C23×C4C2×D411yescharacteristic
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652AGL(1,ℤ/8)—416no—
653C2×Q16—22no—
654C2×Q16—22no—
655C2×Q16—22no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×Q16—41no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—416no—
680C2×SD16#4114yescomplemented
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×M16—22no—
691C2×M16—22no—
692C2×M16—22no—
693C2×M16—41no—
694C2×M16—41no—
695C2×M16—41no—
696C22×C8—22no—
697C22×C8—22no—
698C22×C8—22no—
699C22×C8—41no—
700C22×C8—41no—
701C22×C8—41no—
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C4⋊Q8—22no—
711C4⋊Q8C2×D414yes—
712#127—22no—
713#127C2×D414yes—
714#126—28no—
715#126—28no—
716#126—28no—
717#126—28no—
718#125—28no—
719#125—22no—
720#125—22no—
721#125—22no—
722#125—22no—
723#124—28no—
724#124—28no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—22no—
729#124—22no—
730#124—22no—
731#124—44no—
732#123—28no—
733#123—28no—
734#123—28no—
735#123—28no—
736#123—28no—
737#123—28no—
738#123—28no—
739#123—28no—
740#123—44no—
741C22⋊Q8—28no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—28no—
747C22⋊Q8—28no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—41no—
752C22⋊Q8—44no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8C2×D414yes—
756C22⋊Q8C2×D414yes—
757#121—28no—
758#121—28no—
759#121—28no—
760#121—28no—
761#121—28no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—28no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—44no—
772#121—44no—
773#121—41no—
774#121—41no—
775#121C2×D414yes—
776#121C2×D414yes—
777#120—28no—
778#120—28no—
779#120—28no—
780#120—28no—
781C4×Q8—22no—
782C4×Q8—24no—
783C4×Q8—22no—
784C4×Q8—22no—
785C4×Q8—22no—
786C4×Q8—22no—
787C4×Q8—22no—
788C4×Q8—22no—
789C4×Q8C2×D414yes—
790C4×D4—28no—
791C4×D4—28no—
792C4×D4—28no—
793C4×D4—28no—
794C4×D4—28no—
795C4×D4—28no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—28no—
799C4×D4—28no—
800C4×D4—28no—
801C4×D4—28no—
802C4×D4—24no—
803C4×D4—28no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—22no—
810C4×D4—22no—
811C4×D4—22no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—24no—
823C4×D4—24no—
824C4×D4—22no—
825C4×D4—44no—
826C4×D4C2×D414yes—
827C4×D4C2×D414yes—
828C4×D4C2×D414yes—
829#117—28no—
830#117—28no—
831#117—28no—
832#117—24no—
833#117—22no—
834#117—22no—
835#117—24no—
836#117—24no—
837#117—41no—
838#117—41no—
839C2×C4⋊C4—28no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—22no—
846C2×C4⋊C4—22no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—41no—
862C2×C4⋊C4—41no—
863C2×C4⋊C4C2×D411yescharacteristic
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2×D411yescharacteristic
866C2×C4⋊C4C2×D411yescharacteristic
867C2×C4⋊C4C2×D411yescharacteristic
868C2×C4⋊C4C2×D414yes—
869C2×C4⋊C4C2×D414yes—
870C2×C4⋊C4C2×D411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C22⋊C4—28no—
881C2×C22⋊C4—28no—
882C2×C22⋊C4—28no—
883C2×C22⋊C4—28no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C22⋊C4C2×D411yescharacteristic
924C2×C22⋊C4C2×D411yescharacteristic
925C2×C22⋊C4C2×D411yescharacteristic
926C2×C42—28no—
927C2×C42—21no—
928C2×C42—21no—
929C2×C42—21no—
930C2×C42—22no—
931C2×C42—22no—
932C2×C42—22no—
933C2×C42—22no—
934C2×C42—22no—
935C2×C42—22no—
936C2×C42—21no—
937C2×C42—21no—
938C2×C42—21no—
939C2×C42C2×D411yescharacteristic
940C2×C42C2×D411yescharacteristic
941C2×C42C2×D411yescharacteristic
942C2×C42C2×D411yescharacteristic
943C2×C42C2×D411yescharacteristic
944C2×C42C2×D411yescharacteristic
945C2×C42C2411yescharacteristic
946C2×C42C2411yescharacteristic
947C2×C42C2411yescharacteristic
948C2×C42C2411yescharacteristic
949#107—22no—
950#106—22no—
951#106—22no—
952#106—22no—
953C4⋊C8—22no—
954C4⋊C8—22no—
955#103—22no—
956#103—22no—
957#103—22no—
958#103—22no—
959#103—22no—
960#103—22no—
961#103—22no—
962#103—22no—
963#103—22no—
964#103—22no—
965#103—41no—
966#103—41no—
967#103—41no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—22no—
977#102—22no—
978#102—22no—
979#102—41no—
980#102—41no—
981#102—41no—
982#102—41no—
983#102—41no—
984#102—41no—
985#102—41no—
986#102—41no—
987C22⋊C8—22no—
988C22⋊C8—22no—
989C22⋊C8—22no—
990C22⋊C8—22no—
991C22⋊C8—22no—
992C22⋊C8—41no—
993C22⋊C8—41no—
994C22⋊C8—41no—
995#97—22no—
996#97—22no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95—21no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—24no—
1022C24—24no—
1023C24—21no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24C22×D411yescharacteristic
1037C24C22×D411yescharacteristic
1038C24C22×D411yescharacteristic
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—44no—
1043#41—416no—
1044#41—44no—
1045#41—44no—
1046#41—82no—
1047#41—82no—
1048#41—816no—
1049C2×Q8—22no—
1050C2×Q8—24no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—42no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—42no—
1073C2×Q8—81no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8—82no—
1077C2×Q8—82no—
1078C2×Q8C22×D412yes—
1079C2×Q8C2×#4112yes—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—24no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—432no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4#12014yes—
1153C2×D4C22×D412yes—
1154C2×D4C22×D412yes—
1155C2×D4C22×D412yes—
1156C2×D4C2×#4112yes—
1157C2×D4H(5,𝔽2)12yes—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—816no—
1238C22×C4—816no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D412yes—
1257C22×C4C22×D412yes—
1258C22×C4C22×D412yes—
1259C22×C4C22×D412yes—
1260C22×C4C22×D411yescharacteristic
1261C22×C4C2511yescharacteristic
1262Q16—44no—
1263Q16—82no—
1264SD16—28no—
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—44no—
1269SD16—82no—
1270SD16—82no—
1271D8—44no—
1272D8—44no—
1273D8—82no—
1274M16—44no—
1275M16—82no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—44no—
1300C2×C8—82no—
1301C2×C8C2×#4112yes—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—81no—
1339C4⋊C4—81no—
1340C4⋊C4#12014yes—
1341C4⋊C4C22×D412yes—
1342C4⋊C4C22×D412yes—
1343C4⋊C4C22×D412yes—
1344C4⋊C4C22×D412yes—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4#12014yes—
1386C22⋊C4#12014yes—
1387C42—24no—
1388C42—24no—
1389C42—22no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—21no—
1397C42—21no—
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—42no—
1403C42—81no—
1404C42—81no—
1405C42C22×D412yes—
1406C42C22×D412yes—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—48no—
1430C23—48no—
1431C23—48no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—48no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23C2×#12012yes—
1467C23C2×#12012yes—
1468C23#57512yes—
1469C23#57512yes—
1470C23C23×D411yescharacteristic
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—44no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—84no—
1485Q8—84no—
1486D4—28no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—48no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—44no—
1500D4—44no—
1501D4—48no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—162no—
1516D4#54614yes—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—48no—
1568C2×C4—44no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—44no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—162no—
1613C2×C4C2×#12012yes—
1614C2×C4C2×#12012yes—
1615C2×C4C2×#12012yes—
1616C2×C4C2×#12012yes—
1617C2×C4#57712yes—
1618C2×C4C23×D411yescharacteristic
1619C2×C4C23×D411yescharacteristic
1620C2×C4C22×#4111yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4#58511yescharacteristic
1623C2×C4#58511yescharacteristic
1624C8—22no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8—41no—
1631C8—41no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—24no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—816no—
1666C22—816no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22#300514yes—
1683C22C22×#12011yescharacteristic
1684C22D4×#4111yescharacteristic
1685C22#348811yescharacteristic
1686C22C2×#57511yescharacteristic
1687C22C2×#57511yescharacteristic
1688C22C2×#57711yescharacteristic
1689C22#358511yescharacteristic
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4C2×#54611yescharacteristic
1714C4D4×#4111yescharacteristic
1715C4#348511yescharacteristic
1716C4#348811yescharacteristic
1717C2—24no—
1718C2—42no—
1719C2—44no—
1720C2—81no—
1721C2—82no—
1722C2—82no—
1723C2—161no—
1724C2#3621211yescharacteristic
1725C2C2×#300511yescharacteristic
1726C2#6037311yescharacteristic
1727C2#6144511yescharacteristic
1728C2#6145611yescharacteristic
1729C2#6197111yescharacteristic
1730C2#6197811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3481C2semidirect
2. C2×#3316C2semidirect
3. C2×#3265C2semidirect
4. #36374C2semidirect
5. #33007C2semidirect
6. #33004C2semidirect
7. #32910C2semidirect
8. #25940C2semidirect
9. #25639C2semidirect
10. #25602C2semidirect
11. #25551C2semidirect
12. #25537C2semidirect
13. #25505C2semidirect
14. #25500C2semidirect
15. #24442C2semidirect
16. #24434C2semidirect
17. #24343C2semidirect
18. #24202C2semidirect
19. #24154C2semidirect
20. #23975C2semidirect
21. #23964C2semidirect
22. #23938C2semidirect
23. #23937C2semidirect
24. #23863C2semidirect
25. #23852C2semidirect
26. #22497C2semidirect
27. #22471C2semidirect
28. #22423C2semidirect
29. #21457C2semidirect
30. #20925C2semidirect
31. C2×#1877C2semidirect
63. C2×#489C22semidirect
64. C2×#481C22semidirect
65. C2×#483C22semidirect
66. C2×#475C22semidirect
67. C2×#470C22semidirect
70. C2×#465C22semidirect
71. C2×#464C22semidirect
76. C2×#452C22semidirect
79. C2×#451C22semidirect
83. C2×#441C22semidirect
87. C2×#417C22semidirect
89. C22×#103C22semidirect
91. #2855C22semidirect
92. #2854C22semidirect
93. #2850C22semidirect
94. #2592C22semidirect
95. #2581C22semidirect
102. #2416C22semidirect
103. #2415C22semidirect
104. #2409C22semidirect
105. #2407C22semidirect
109. C4×C22⋊Q8C22semidirect
110. #2297C22semidirect
111. C2×#391C22semidirect
112. #2059C22semidirect
113. #2059C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2026C22semidirect
119. #2026C22semidirect
120. #2026C22semidirect
121. #2026C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
128. #2012C22semidirect
129. #2012C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1993C22semidirect
137. #1988C22semidirect
138. #1985C22semidirect
139. #1985C22semidirect
143. #1894C22semidirect
145. #1892C22semidirect
146. #1880C22semidirect
150. #1879C22semidirect
151. #1879C22semidirect
152. #1879C22semidirect
153. #1879C22semidirect
154. #1878C22semidirect
155. #1878C22semidirect
162. #1877C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1877C22semidirect
171. #1875C22semidirect
173. #1873C22semidirect
174. #1873C22semidirect
175. #1873C22semidirect
176. #1872C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1863C22semidirect
189. #1854C22semidirect
190. #1824C22semidirect
191. #1823C22semidirect
192. #1817C22semidirect
193. #1817C22semidirect
194. #1805C22semidirect
196. #1797C22semidirect
200. #1763C22semidirect
202. #1749C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1728C22semidirect
206. C2×#336C22semidirect
244. #554D4semidirect
260. D42D4semidirect
680. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#33162
C2×#32652
#363742
#330072
#330042
#329102
#259402
#256392
#256022
#255512
#255372
#255052
#255002
#244422
#244342
#243432
#242022
#241542
#239752
#239642
#239382
#239372
#238632
#238522
#224972
#224712
#224232
#214572
#209252
C2×#18772