Finite Group Databasebeta

← #6513313

Subgroups — #6513313

Order 512.

3303 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3558C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3C2×#3173C211yesmaximal, characteristic, complemented
4#37277C211yesmaximal, characteristic, complemented
5#25865C211yesmaximal, characteristic, complemented
6#25864C211yesmaximal, characteristic, complemented
7#25736C211yesmaximal, characteristic, complemented
8#25724C211yesmaximal, characteristic, complemented
9#25680C211yesmaximal, characteristic, complemented
10#25671C211yesmaximal, characteristic, complemented
11#25610C211yesmaximal, characteristic, complemented
12#25602C211yesmaximal, characteristic, complemented
13#24449C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24442C211yesmaximal, characteristic, complemented
16#24440C211yesmaximal, characteristic, complemented
17#24436C211yesmaximal, characteristic, complemented
18#24434C211yesmaximal, characteristic, complemented
19#24432C211yesmaximal, characteristic, complemented
20#24425C211yesmaximal, characteristic, complemented
21#24258C211yesmaximal, characteristic, complemented
22#24248C211yesmaximal, characteristic, complemented
23#24244C211yesmaximal, characteristic, complemented
24#24240C211yesmaximal, characteristic, complemented
25#24204C211yesmaximal, characteristic, complemented
26#24202C211yesmaximal, characteristic, complemented
27#24194C211yesmaximal, characteristic, complemented
28#24186C211yesmaximal, characteristic, complemented
29#21871C211yesmaximal, characteristic, complemented
30#21381C211yesmaximal, characteristic, complemented
31#21206C211yesmaximal, characteristic, complemented
32#3558—28no—
33#3558—28no—
34C2×#562—21no—
35C2×H(3,𝔽4)—21no—
36C2×#559C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#546—21no—
41C2×#546—21no—
42C2×#546C2211yescharacteristic
43C2×#546C2211yescharacteristic
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×#542C2211yescharacteristic
47C2×#542C2211yescharacteristic
48C2×#542C2211yescharacteristic, complemented
49C2×#538—21no—
50C2×#538—21no—
51C2×#538—21no—
52C2×#535C2211yescharacteristic
53C2×#535C2211yescharacteristic
54C2×#534—21no—
55C2×#532C2211yescharacteristic
56C2×#529C2211yescharacteristic
57C22×#124C2211yescharacteristic
58#3224—28no—
59#3173—28no—
60C2×#498C2211yescharacteristic, complemented
61C2×#496C2211yescharacteristic, complemented
62C2×#495C2211yescharacteristic, complemented
63C2×#495C2211yescharacteristic, complemented
64C2×#489C2211yescharacteristic, complemented
65C2×#489C2211yescharacteristic, complemented
66C2×#489C2211yescharacteristic, complemented
67C2×#486C2211yescharacteristic, complemented
68C2×#470C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic
70C2×#465C2211yescharacteristic
71C2×#465C2211yescharacteristic, complemented
72C2×#464C2211yescharacteristic, complemented
73C2×#460C2211yescharacteristic
74C2×#463C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic, complemented
89C2×#441C2211yescharacteristic, complemented
90C2×C4×SD16C2211yescharacteristic, complemented
91C2×C4×SD16C2211yescharacteristic, complemented
92C2×#433C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#102C2211yescharacteristic, complemented
97C2×#405C2211yescharacteristic, complemented
98#2857C2211yescharacteristic, complemented
99#2850C2211yescharacteristic, complemented
100#2725—21no—
101#2715—21no—
102#2705—21no—
103#2702—21no—
104#2693—21no—
105#2683—21no—
106#2676—21no—
107#2672—21no—
108#2628C2211yescharacteristic, complemented
109#2620C2211yescharacteristic, complemented
110#2581C2211yescharacteristic, complemented
111#2538C2211yescharacteristic, complemented
112#2538C2211yescharacteristic, complemented
113#2535C2211yescharacteristic, complemented
114#2417C2211yescharacteristic, complemented
115#2416C2211yescharacteristic, complemented
116#2415C2211yescharacteristic, complemented
117#2414C2211yescharacteristic, complemented
118#2317C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2015C2211yescharacteristic, complemented
138#2014C2211yescharacteristic
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic
143#2001C2211yescharacteristic, complemented
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1993C2211yescharacteristic, complemented
152#1990C2211yescharacteristic, complemented
153#1985C2211yescharacteristic, complemented
154#1984C2211yescharacteristic, complemented
155#1961C2211yescharacteristic
156#1961C2211yescharacteristic, complemented
157#1959C2211yescharacteristic, complemented
158#1959C2211yescharacteristic, complemented
159#1959C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1958C2211yescharacteristic, complemented
163#1957C2211yescharacteristic
164#1957C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1954C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1874C2211yescharacteristic
177#1873C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1749C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230#562—216no—
231H(3,𝔽4)—216no—
232#559—24no—
233#559—24no—
234#559—24no—
235#559—24no—
236#548—24no—
237#548—24no—
238#548—24no—
239#548—24no—
240#546—216no—
241#546—216no—
242#546—24no—
243#546—24no—
244#546—24no—
245#546—24no—
246D42—24no—
247D42—24no—
248D42—24no—
249D42—24no—
250#542—24no—
251#542—24no—
252#542—24no—
253#542—24no—
254#542—24no—
255#542D418yescomplemented
256#538—216no—
257#538—216no—
258#538—216no—
259#535—24no—
260#535—24no—
261#535—24no—
262#535D418yescomplemented
263#534—216no—
264#532—24no—
265#532—24no—
266C2×C4⋊Q8C2311yescharacteristic
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271#529—24no—
272#529—24no—
273C2×#126—21no—
274C2×#126—21no—
275C2×#126—21no—
276C2×#126D411yescharacteristic
277C2×#126D411yescharacteristic
278C2×#125D411yescharacteristic
279C2×#124—21no—
280C2×#124—21no—
281C2×#124—24no—
282C2×#124—24no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124—21no—
291C2×#124D411yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123—21no—
308C2×#123D411yescharacteristic
309C2×#123D411yescharacteristic
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8D411yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121D411yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120—21no—
352C2×#120—21no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C22⋊C4—21no—
375C22×C22⋊C4—21no—
376C22×C22⋊C4—21no—
377C22×C22⋊C4—21no—
378C22×C42C2311yescharacteristic
379#498—24no—
380#496—24no—
381#495—24no—
382#495—24no—
383#489—24no—
384#489—24no—
385#489—24no—
386#486—24no—
387#470—24no—
388#469—24no—
389#465—24no—
390#465—24no—
391#464—24no—
392#463—24no—
393#460—24no—
394#459—24no—
395#452—24no—
396#452—42no—
397#451—42no—
398#450—24no—
399#450—42no—
400#450—42no—
401#449—24no—
402#449—42no—
403#448—42no—
404#447—24no—
405#447—42no—
406#447—42no—
407#442—24no—
408#441—24no—
409C4×SD16—24no—
410C4×SD16—24no—
411#433—24no—
412C2×#106C2311yescharacteristic
413C2×#106C2311yescharacteristic
414C2×#106C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×C4⋊C8C2311yescharacteristic
417C2×C4⋊C8C2311yescharacteristic
418#418—42no—
419#417—42no—
420#416—42no—
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#102—42no—
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×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472#405—24no—
473C2×#97C2311yescharacteristic
474C2×#97C2311yescharacteristic
475C2×#97C2311yescharacteristic
476C2×C4×C8C2311yescharacteristic
477C2×C4×C8C2311yescharacteristic
478C2×C4×C8C2311yescharacteristic
479#400—21no—
480#400—21no—
481#399—21no—
482#398—21no—
483#397—21no—
484#397—21no—
485#396—21no—
486#396—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#396—21no—
492#396—21no—
493#395—21no—
494#395—21no—
495#394—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#393—21no—
501#392—21no—
502#392—21no—
503#391—21no—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389—21no—
511#389—21no—
512#389—21no—
513#389—21no—
514#389—21no—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#387—21no—
524#387—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#385—21no—
532#385—21no—
533#384C2311yescharacteristic
534#384C2311yescharacteristic
535#382C2311yescharacteristic
536#382C2311yescharacteristic
537#380—21no—
538#380—21no—
539#380—21no—
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C25—21no—
563C2×#41—28no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—82no—
576C2×#41—82no—
577C2×#41C2×D414yes—
578C22×Q8—22no—
579C22×Q8—22no—
580C22×Q8—21no—
581C22×Q8—21no—
582C22×Q8—21no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8C2×D411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—28no—
594C22×D4—28no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—21no—
604C22×D4—21no—
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—21no—
614C22×D4—21no—
615C22×D4—22no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—82no—
629C22×D4—82no—
630C22×D4—82no—
631C22×D4—82no—
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D414yes—
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4C2×D411yescharacteristic
651C23×C4C2×D411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C2×Q16—22no—
656C2×Q16—22no—
657C2×Q16—22no—
658C2×Q16—41no—
659C2×Q16—41no—
660C2×Q16—41no—
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—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×M16—22no—
692C2×M16—22no—
693C2×M16—41no—
694C22×C8—22no—
695C22×C8—22no—
696C22×C8—41no—
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C4⋊Q8—22no—
706C4⋊Q8—22no—
707C4⋊Q8—22no—
708C4⋊Q8C2×D414yes—
709#127—22no—
710#127—22no—
711#127—22no—
712#127—22no—
713#127C2×D414yes—
714#127C2×D414yes—
715#126—28no—
716#126—28no—
717#126—24no—
718#126—24no—
719#126—44no—
720#125—24no—
721#124—28no—
722#124—28no—
723#124—28no—
724#124—28no—
725#124—28no—
726#124—28no—
727#124—28no—
728#124—28no—
729#124—22no—
730#124—22no—
731#124—22no—
732#124—22no—
733#124—22no—
734#124—22no—
735#124—28no—
736#124—24no—
737#124—22no—
738#124—22no—
739#124—22no—
740#124—22no—
741#124—22no—
742#124—44no—
743#124C2×D414yes—
744#124C2×D414yes—
745#124C2×D414yes—
746#123—28no—
747#123—28no—
748#123—28no—
749#123—28no—
750#123—28no—
751#123—28no—
752#123—28no—
753#123—24no—
754#123—28no—
755#123—24no—
756#123—44no—
757C22⋊Q8—28no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—28no—
763C22⋊Q8—24no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—22no—
767C22⋊Q8—44no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—82no—
773C22⋊Q8—82no—
774C22⋊Q8C2×D414yes—
775#121—28no—
776#121—28no—
777#121—28no—
778#121—28no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—28no—
783#121—28no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—28no—
789#121—28no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—24no—
794#121—22no—
795#121—22no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—82no—
801#121C2×D414yes—
802#120—28no—
803#120—28no—
804#120—28no—
805#120—28no—
806#120—28no—
807#120—28no—
808#120—28no—
809#120—28no—
810#120—28no—
811#120—28no—
812C4×Q8—22no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—22no—
817C4×Q8—22no—
818C4×Q8—22no—
819C4×Q8C2×D414yes—
820C4×D4—28no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—28no—
824C4×D4—28no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4—22no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4C2×D414yes—
841#117—22no—
842#117—22no—
843#117—41no—
844#117—41no—
845#117C2×D414yes—
846#117C2×D414yes—
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—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—41no—
867C2×C4⋊C4—41no—
868C2×C4⋊C4C2×D411yescharacteristic
869C2×C4⋊C4C2×D411yescharacteristic
870C2×C4⋊C4C2×D411yescharacteristic
871C2×C4⋊C4C2×D411yescharacteristic
872C2×C4⋊C4C2×D411yescharacteristic
873C2×C4⋊C4C2×D411yescharacteristic
874C2×C4⋊C4C2×D411yescharacteristic
875C2×C4⋊C4C2×D411yescharacteristic
876C2×C4⋊C4C2×D411yescharacteristic
877C2×C4⋊C4C2×D411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C22⋊C4—28no—
887C2×C22⋊C4—28no—
888C2×C22⋊C4—28no—
889C2×C22⋊C4—28no—
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⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4C2×D411yescharacteristic
931C2×C22⋊C4C2×D411yescharacteristic
932C2×C22⋊C4C2×D411yescharacteristic
933C2×C22⋊C4C2×D411yescharacteristic
934C2×C22⋊C4C2×D411yescharacteristic
935C2×C22⋊C4C2×D411yescharacteristic
936C2×C22⋊C4C2×D411yescharacteristic
937C2×C22⋊C4C2×D411yescharacteristic
938C2×C22⋊C4C2×D411yescharacteristic
939C2×C22⋊C4C2×D411yescharacteristic
940C2×C42—21no—
941C2×C42—21no—
942C2×C42—22no—
943C2×C42—22no—
944C2×C42—21no—
945C2×C42—21no—
946C2×C42C2×D411yescharacteristic
947C2×C42C2×D411yescharacteristic
948C2×C42C2411yescharacteristic
949C2×C42C2411yescharacteristic
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952#106—22no—
953#106—22no—
954#106—22no—
955#106—22no—
956C4⋊C8—22no—
957C4⋊C8—22no—
958#103—22no—
959#103—22no—
960#103—22no—
961#103—22no—
962#103—22no—
963#103—22no—
964#103—22no—
965#103—22no—
966#103—41no—
967#103—41no—
968#103—41no—
969#103—41no—
970#103—41no—
971#103—41no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—22no—
977#102—22no—
978#102—22no—
979#102—22no—
980#102—22no—
981#102—22no—
982#102—22no—
983#102—22no—
984#102—22no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—41no—
989#102—41no—
990#102—41no—
991#102—41no—
992#102—41no—
993#102—41no—
994#102—41no—
995#102—41no—
996#102—41no—
997#102—41no—
998C22⋊C8—22no—
999C22⋊C8—22no—
1000C22⋊C8—22no—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—41no—
1005C22⋊C8—41no—
1006C22⋊C8—41no—
1007C22⋊C8—41no—
1008#97—22no—
1009#97—22no—
1010#97—22no—
1011C4×C8—22no—
1012C4×C8—22no—
1013C4×C8—22no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030C24—24no—
1031C24—24no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—24no—
1037C24—21no—
1038C24—42no—
1039C24—42no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24—81no—
1046C24—81no—
1047C24—81no—
1048C24—81no—
1049C24—81no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24C22×D411yescharacteristic
1057C24C22×D411yescharacteristic
1058C24C22×D411yescharacteristic
1059#41—44no—
1060#41—44no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
1064#41—82no—
1065#41—816no—
1066#41—82no—
1067#41—82no—
1068C2×Q8—24no—
1069C2×Q8—22no—
1070C2×Q8—24no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—42no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—82no—
1097C2×Q8—82no—
1098C2×Q8—82no—
1099C2×Q8—82no—
1100C2×Q8C22×D412yes—
1101C2×Q8C22×D412yes—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—82no—
1185C2×D4—82no—
1186C2×D4—82no—
1187C2×D4—82no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—816no—
1204C2×D4—816no—
1205C2×D4C22×D412yes—
1206C2×D4C22×D412yes—
1207C2×D4C22×D412yes—
1208C2×D4C22×D412yes—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—22no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D412yes—
1281C22×C4C22×D412yes—
1282C22×C4C2511yescharacteristic
1283Q16—44no—
1284Q16—82no—
1285SD16—44no—
1286SD16—44no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290SD16—82no—
1291D8—44no—
1292D8—82no—
1293D8—82no—
1294D8—82no—
1295M16—44no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—44no—
1319C2×C8H(5,𝔽2)12yes—
1320C2×C8H(5,𝔽2)12yes—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—81no—
1354C4⋊C4—81no—
1355C4⋊C4—81no—
1356C4⋊C4—81no—
1357C4⋊C4—81no—
1358C4⋊C4—81no—
1359C4⋊C4—81no—
1360C4⋊C4—81no—
1361C4⋊C4—81no—
1362C4⋊C4#12014yes—
1363C4⋊C4#12014yes—
1364C4⋊C4C22×D412yes—
1365C4⋊C4C22×D412yes—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4#12014yes—
1415C22⋊C4#12014yes—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—42no—
1425C42—81no—
1426C42C22×D412yes—
1427C42C22×D412yes—
1428C42C22×D412yes—
1429C42C22×D412yes—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—48no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—162no—
1494C23—162no—
1495C23—162no—
1496C23—162no—
1497C23—162no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23—162no—
1505C23C2×#12012yes—
1506C23#57712yes—
1507C23C23×D411yescharacteristic
1508Q8—22no—
1509Q8—22no—
1510Q8—22no—
1511Q8—22no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—82no—
1521Q8—84no—
1522Q8—84no—
1523Q8—162no—
1524D4—22no—
1525D4—22no—
1526D4—22no—
1527D4—22no—
1528D4—22no—
1529D4—22no—
1530D4—22no—
1531D4—22no—
1532D4—44no—
1533D4—44no—
1534D4—48no—
1535D4—48no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—82no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—162no—
1563D4—162no—
1564D4—162no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—44no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—162no—
1648C2×C4—162no—
1649C2×C4C2×#12012yes—
1650C2×C4C2×#12012yes—
1651C2×C4C2×#12012yes—
1652C2×C4C2×#12012yes—
1653C2×C4C2×#12012yes—
1654C2×C4C23×D411yescharacteristic
1655C2×C4C23×D411yescharacteristic
1656C2×C4C2×H(5,𝔽2)11yescharacteristic
1657C2×C4C2×H(5,𝔽2)11yescharacteristic
1658C2×C4#58511yescharacteristic
1659C2×C4#58511yescharacteristic
1660C8—22no—
1661C8—22no—
1662C8—41no—
1663C8—41no—
1664C8—41no—
1665C8—41no—
1666C8—41no—
1667C8—41no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—168no—
1725C22—168no—
1726C22—168no—
1727C22C22×#12011yescharacteristic
1728C22#349811yescharacteristic
1729C22#350011yescharacteristic
1730C22C2×#57711yescharacteristic
1731C22#358411yescharacteristic
1732C22#358511yescharacteristic
1733C22#358511yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—41no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4#348811yescharacteristic
1757C4#348811yescharacteristic
1758C4#349611yescharacteristic
1759C4#349611yescharacteristic
1760C2—42no—
1761C2—42no—
1762C2—81no—
1763C2—82no—
1764C2—82no—
1765C2—82no—
1766C2—82no—
1767C2—161no—
1768C2#3551311yescharacteristic
1769C2#6037311yescharacteristic
1770C2#6037611yescharacteristic
1771C2#6243511yescharacteristic
1772C2#6244311yescharacteristic
1773C2#6260211yescharacteristic
1774C2#6261411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3558C2semidirect
2. C2×#3224C2semidirect
3. C2×#3173C2semidirect
4. #37277C2semidirect
5. #25865C2semidirect
6. #25864C2semidirect
7. #25736C2semidirect
8. #25724C2semidirect
9. #25680C2semidirect
10. #25671C2semidirect
11. #25610C2semidirect
12. #25602C2semidirect
13. #24449C2semidirect
14. #24444C2semidirect
15. #24442C2semidirect
16. #24440C2semidirect
17. #24436C2semidirect
18. #24434C2semidirect
19. #24432C2semidirect
20. #24425C2semidirect
21. #24258C2semidirect
22. #24248C2semidirect
23. #24244C2semidirect
24. #24240C2semidirect
25. #24204C2semidirect
26. #24202C2semidirect
27. #24194C2semidirect
28. #24186C2semidirect
29. #21871C2semidirect
30. #21381C2semidirect
31. #21206C2semidirect
48. C2×#542C22semidirect
60. C2×#498C22semidirect
61. C2×#496C22semidirect
62. C2×#495C22semidirect
63. C2×#495C22semidirect
64. C2×#489C22semidirect
65. C2×#489C22semidirect
66. C2×#489C22semidirect
67. C2×#486C22semidirect
68. C2×#470C22semidirect
71. C2×#465C22semidirect
72. C2×#464C22semidirect
74. C2×#463C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#451C22semidirect
81. C2×#448C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#442C22semidirect
89. C2×#441C22semidirect
90. C2×C4×SD16C22semidirect
91. C2×C4×SD16C22semidirect
92. C2×#433C22semidirect
93. C2×#417C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. C22×#102C22semidirect
97. C2×#405C22semidirect
98. #2857C22semidirect
99. #2850C22semidirect
108. #2628C22semidirect
109. #2620C22semidirect
110. #2581C22semidirect
111. #2538C22semidirect
112. #2538C22semidirect
113. #2535C22semidirect
114. #2417C22semidirect
115. #2416C22semidirect
116. #2415C22semidirect
117. #2414C22semidirect
118. #2317C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2015C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
143. #2001C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1993C22semidirect
152. #1990C22semidirect
153. #1985C22semidirect
154. #1984C22semidirect
156. #1961C22semidirect
157. #1959C22semidirect
158. #1959C22semidirect
159. #1959C22semidirect
160. #1958C22semidirect
161. #1958C22semidirect
162. #1958C22semidirect
164. #1957C22semidirect
165. #1955C22semidirect
166. #1954C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
177. #1873C22semidirect
178. #1872C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1864C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1750C22semidirect
204. #1750C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
255. #542D4semidirect
262. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35582
C2×#32242
C2×#31732
#372772
#258652
#258642
#257362
#257242
#256802
#256712
#256102
#256022
#244492
#244442
#244422
#244402
#244362
#244342
#244322
#244252
#242582
#242482
#242442
#242402
#242042
#242022
#241942
#241862
#218712
#213812
#212062