Finite Group Databasebeta

← #7200212

Subgroups — #7200212

Order 512.

2543 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45478C211yesmaximal, characteristic, complemented
2#36429C211yesmaximal, characteristic, complemented
3#32880C211yesmaximal, characteristic, complemented
4#32880C211yesmaximal, characteristic, complemented
5#32707C211yesmaximal, characteristic, complemented
6#32707C211yesmaximal, characteristic, complemented
7#31674C211yesmaximal, characteristic, complemented
8#31307C211yesmaximal, characteristic, complemented
9#31286C211yesmaximal, characteristic, complemented
10#31032C211yesmaximal, characteristic, complemented
11#31026C211yesmaximal, characteristic, complemented
12#31011C211yesmaximal, characteristic, complemented
13#30985C211yesmaximal, characteristic, complemented
14#30515C211yesmaximal, characteristic, complemented
15#30447C211yesmaximal, characteristic, complemented
16#30444C211yesmaximal, characteristic, complemented
17#30417C211yesmaximal, characteristic, complemented
18#30412C211yesmaximal, characteristic, complemented
19#27527C211yesmaximal, characteristic, complemented
20#27522C211yesmaximal, characteristic, complemented
21#25759C211yesmaximal, characteristic, complemented
22#25179C211yesmaximal, characteristic, complemented
23#25153C211yesmaximal, characteristic, complemented
24#24916C211yesmaximal, characteristic, complemented
25#24896C211yesmaximal, characteristic, complemented
26#24451C211yesmaximal, characteristic, complemented
27#24441C211yesmaximal, characteristic, complemented
28#24256C211yesmaximal, characteristic, complemented
29#24238C211yesmaximal, characteristic, complemented
30#24045C211yesmaximal, characteristic, complemented
31#23308C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#560—21no—
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#493C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#460C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic, complemented
53C2×#449C2211yescharacteristic, complemented
54C2×#448C2211yescharacteristic
55C2×#448C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#440C2211yescharacteristic, complemented
59C2×C4×SD16C2211yescharacteristic, complemented
60C2×#417C2211yescharacteristic, complemented
61#2847—21no—
62#2847C2211yescharacteristic
63#2847C2211yescharacteristic
64#2847C2211yescharacteristic
65#2812—21no—
66#2709—21no—
67#2693—21no—
68#2691—21no—
69#2691—21no—
70#2688—21no—
71#2688—21no—
72#2541C2211yescharacteristic, complemented
73#2537C2211yescharacteristic
74#2537C2211yescharacteristic, complemented
75#2496C2211yescharacteristic
76#2496C2211yescharacteristic, complemented
77#2486C2211yescharacteristic, complemented
78#2433—21no—
79#2433C2211yescharacteristic
80#2431—21no—
81#2431—21no—
82#2431C2211yescharacteristic
83#2431C2211yescharacteristic
84#2428C2211yescharacteristic
85#2428C2211yescharacteristic, complemented
86#2422C2211yescharacteristic, complemented
87#2422C2211yescharacteristic, complemented
88#2416C2211yescharacteristic
89#2416C2211yescharacteristic, complemented
90#2408—21no—
91#2408C2211yescharacteristic
92#2407—21no—
93#2407—21no—
94#2407C2211yescharacteristic
95#2407C2211yescharacteristic
96#2341C2211yescharacteristic
97#2341C2211yescharacteristic
98Q8×C22⋊C4C2211yescharacteristic
99C4×#120—21no—
100C4×#120C2211yescharacteristic
101#2094C2211yescharacteristic, complemented
102#2093C2211yescharacteristic, complemented
103#2077C2211yescharacteristic
104#2077C2211yescharacteristic
105#2077C2211yescharacteristic, complemented
106#2077C2211yescharacteristic, complemented
107#2076C2211yescharacteristic, complemented
108#2076C2211yescharacteristic, complemented
109#2072C2211yescharacteristic, complemented
110#2071C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2066C2211yescharacteristic, complemented
113#2066C2211yescharacteristic, complemented
114#2065C2211yescharacteristic, complemented
115#2054C2211yescharacteristic, complemented
116#2054C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2034C2211yescharacteristic
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1982C2211yescharacteristic, complemented
150#1972C2211yescharacteristic, complemented
151#1968C2211yescharacteristic, complemented
152#1959C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1955C2211yescharacteristic
155#1954C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1923C2211yescharacteristic
166#1923C2211yescharacteristic
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1870C2211yescharacteristic
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1865C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1803C2211yescharacteristic, complemented
186#1803C2211yescharacteristic, complemented
187#1788C2211yescharacteristic
188#1788C2211yescharacteristic
189#1788C2211yescharacteristic
190#1788C2211yescharacteristic
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197#1787C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1779C2211yescharacteristic
201#1779C2211yescharacteristic
202C4×#103C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41—21no—
205C22×#41—42no—
206C22×#41—42no—
207C22×#41—42no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41C2311yescharacteristic
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C23×Q8C2311yescharacteristic
217C23×D4—21no—
218C23×D4C2311yescharacteristic
219C24×C4—21no—
220C24×C4C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×M16C2311yescharacteristic
232#560—48no—
233#550—42no—
234#550—42no—
235#550—42no—
236#550—42no—
237#548—42no—
238#548—42no—
239C2×#127—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#126—21no—
246C2×#126—21no—
247C2×#124—21no—
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120D411yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297#493—42no—
298#481—42no—
299#469—42no—
300#468—42no—
301#463—42no—
302#460—42no—
303#459—42no—
304#449—42no—
305#449—42no—
306#449—42no—
307#449—42no—
308#449—42no—
309#449—42no—
310#449—42no—
311#449—42no—
312#449—42no—
313#449—42no—
314#448—42no—
315#448—42no—
316#447—42no—
317#447—42no—
318#440—42no—
319C4×SD16—42no—
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#106C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329#417—42no—
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×#97C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384#400—21no—
385#400—21no—
386#398—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#396—21no—
393#396—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#391—21no—
421#391—21no—
422#391C2311yescharacteristic
423#391C2311yescharacteristic
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#387—21no—
440#387—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386D411yescharacteristic
461#386D411yescharacteristic
462#386D411yescharacteristic
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385D411yescharacteristic
468#385D411yescharacteristic
469#385D411yescharacteristic
470#384C2311yescharacteristic
471#384C2311yescharacteristic
472#381—21no—
473#380—21no—
474#380—21no—
475#380—21no—
476#380—21no—
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#379—21no—
489#379D411yescharacteristic
490C4×C4⋊C4C2311yescharacteristic
491C4×C22⋊C4—21no—
492C4×C22⋊C4—21no—
493C4×C22⋊C4—21no—
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25C2×D411yescharacteristic
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—22no—
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—44no—
548C2×#41—44no—
549C2×#41—44no—
550C2×#41—44no—
551C2×#41—44no—
552C2×#41—44no—
553C2×#41—416no—
554C2×#41—416no—
555C2×#41—416no—
556C2×#41—416no—
557C22×Q8—22no—
558C22×Q8—22no—
559C22×Q8—21no—
560C22×Q8—22no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8C2411yescharacteristic
565C22×Q8C2411yescharacteristic
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—44no—
624C23×C4—44no—
625C23×C4—44no—
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×M16—41no—
664C2×M16—41no—
665C2×M16—41no—
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674#127—22no—
675#127—22no—
676#127—41no—
677#127—41no—
678#127—41no—
679#127—41no—
680#127—44no—
681#127—44no—
682#127—44no—
683#126—44no—
684#126—44no—
685#124—22no—
686#124—41no—
687#124—44no—
688#123—44no—
689#123—44no—
690#123—44no—
691C22⋊Q8—22no—
692C22⋊Q8—41no—
693C22⋊Q8—44no—
694#121—22no—
695#121—22no—
696#121—44no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#120—24no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—82no—
736#120—82no—
737#120—82no—
738C4×Q8—22no—
739C4×Q8—22no—
740C4×Q8—22no—
741C4×Q8—41no—
742C4×Q8—41no—
743C4×Q8—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—44no—
755C4×D4—44no—
756C4×D4—44no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—41no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843#107—41no—
844#107—41no—
845#106—41no—
846#106—41no—
847#106—41no—
848#106—41no—
849C4⋊C8—41no—
850C4⋊C8—41no—
851C4⋊C8—41no—
852#103—22no—
853#103—22no—
854#103—22no—
855#103—22no—
856#103—22no—
857#103—22no—
858#103—22no—
859#103—22no—
860#103—41no—
861#103—41no—
862#103—41no—
863#103—41no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903#97—41no—
904C4×C8—41no—
905C4×C8—41no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931C24—21no—
932C24—21no—
933C24—22no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—41no—
938C24—41no—
939C24—41no—
940C24—41no—
941C24—41no—
942C24—41no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—81no—
949C24—81no—
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952C24C22×D411yescharacteristic
953C24C22×D411yescharacteristic
954#41—44no—
955#41—44no—
956#41—44no—
957#41—44no—
958#41—44no—
959#41—44no—
960#41—44no—
961#41—44no—
962#41—44no—
963#41—44no—
964#41—44no—
965#41—44no—
966#41—432no—
967#41—432no—
968#41—44no—
969#41—44no—
970#41—44no—
971#41—44no—
972#41—44no—
973#41—82no—
974#41—82no—
975#41—82no—
976C2×Q8—24no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—44no—
988C2×Q8—44no—
989C2×Q8—44no—
990C2×Q8—44no—
991C2×Q8H(5,𝔽2)12yes—
992C2×Q8H(5,𝔽2)12yes—
993C2×Q8H(5,𝔽2)12yes—
994C2×Q8H(5,𝔽2)12yes—
995C2×D4—24no—
996C2×D4—24no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—432no—
1058C2×D4—44no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4H(5,𝔽2)12yes—
1113C2×D4H(5,𝔽2)12yes—
1114C22×C4—21no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—432no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C2511yescharacteristic
1201SD16—44no—
1202SD16—44no—
1203SD16—82no—
1204SD16—82no—
1205D8—82no—
1206D8—82no—
1207D8—82no—
1208D8—82no—
1209D8—82no—
1210D8—82no—
1211M16—82no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—81no—
1268C4⋊C4—81no—
1269C4⋊C4—81no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C22⋊C4—81no—
1317C22⋊C4—81no—
1318C22⋊C4—81no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4AGL(1,ℤ/8)14yes—
1322C42—21no—
1323C42—21no—
1324C42—21no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—42no—
1329C42—42no—
1330C42—42no—
1331C42—42no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—22no—
1351C23—22no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—48no—
1362C23—44no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23—84no—
1400C23—84no—
1401C23—84no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—84no—
1406C23—84no—
1407C23—84no—
1408C23C2×AGL(1,ℤ/8)12yes—
1409C23C23×D411yescharacteristic
1410Q8—22no—
1411Q8—22no—
1412Q8—22no—
1413Q8—22no—
1414Q8—22no—
1415Q8—48no—
1416Q8—41no—
1417Q8—41no—
1418Q8#56014yescomplemented
1419D4—22no—
1420D4—22no—
1421D4—22no—
1422D4—22no—
1423D4—48no—
1424D4—48no—
1425D4—48no—
1426D4—48no—
1427D4—48no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—82no—
1445D4—82no—
1446D4—84no—
1447D4—84no—
1448D4—84no—
1449D4—82no—
1450D4—84no—
1451D4—162no—
1452D4—162no—
1453D4—162no—
1454D4—162no—
1455D4—162no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460D4—162no—
1461D4—162no—
1462D4—162no—
1463D4—162no—
1464D4—162no—
1465D4—162no—
1466D4—162no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—48no—
1500C2×C4—48no—
1501C2×C4—48no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—84no—
1553C2×C4—162no—
1554C2×C4—162no—
1555C2×C4—162no—
1556C2×C4C2×AGL(1,ℤ/8)12yes—
1557C2×C4C2×AGL(1,ℤ/8)12yes—
1558C2×C4C2×H(5,𝔽2)11yescharacteristic
1559C2×C4C2×H(5,𝔽2)11yescharacteristic
1560C2×C4C2×H(5,𝔽2)11yescharacteristic
1561C2×C4C2×H(5,𝔽2)11yescharacteristic
1562C2×C4C2×H(5,𝔽2)11yescharacteristic
1563C2×C4C2×H(5,𝔽2)11yescharacteristic
1564C8—41no—
1565C8—41no—
1566C8—41no—
1567C8—41no—
1568C8—41no—
1569C8—41no—
1570C8—41no—
1571C8—41no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—816no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22#348411yescharacteristic
1638C22#348411yescharacteristic
1639C22#348411yescharacteristic
1640C22C22×AGL(1,ℤ/8)11yescharacteristic
1641C22#358411yescharacteristic
1642C22#358411yescharacteristic
1643C22#358511yescharacteristic
1644C4—24no—
1645C4—22no—
1646C4—22no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—81no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C4—81no—
1661C4—81no—
1662C4—81no—
1663C4—81no—
1664C4—81no—
1665C4C2×#56011yescharacteristic
1666C4#353211yescharacteristic
1667C4#353211yescharacteristic
1668C4#353211yescharacteristic
1669C2—42no—
1670C2—81no—
1671C2—81no—
1672C2—81no—
1673C2—82no—
1674C2—82no—
1675C2—161no—
1676C2—161no—
1677C2—161no—
1678C2#4543811yescharacteristic
1679C2#6158711yescharacteristic
1680C2#6159811yescharacteristic
1681C2#6159811yescharacteristic
1682C2#6162511yescharacteristic
1683C2#6162811yescharacteristic
1684C2#6163711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45478C2semidirect
2. #36429C2semidirect
3. #32880C2semidirect
4. #32880C2semidirect
5. #32707C2semidirect
6. #32707C2semidirect
7. #31674C2semidirect
8. #31307C2semidirect
9. #31286C2semidirect
10. #31032C2semidirect
11. #31026C2semidirect
12. #31011C2semidirect
13. #30985C2semidirect
14. #30515C2semidirect
15. #30447C2semidirect
16. #30444C2semidirect
17. #30417C2semidirect
18. #30412C2semidirect
19. #27527C2semidirect
20. #27522C2semidirect
21. #25759C2semidirect
22. #25179C2semidirect
23. #25153C2semidirect
24. #24916C2semidirect
25. #24896C2semidirect
26. #24451C2semidirect
27. #24441C2semidirect
28. #24256C2semidirect
29. #24238C2semidirect
30. #24045C2semidirect
31. #23308C2semidirect
37. C2×#493C22semidirect
38. C2×#481C22semidirect
39. C2×#469C22semidirect
40. C2×#468C22semidirect
41. C2×#460C22semidirect
42. C2×#463C22semidirect
43. C2×#459C22semidirect
52. C2×#449C22semidirect
53. C2×#449C22semidirect
58. C2×#440C22semidirect
59. C2×C4×SD16C22semidirect
60. C2×#417C22semidirect
72. #2541C22semidirect
74. #2537C22semidirect
76. #2496C22semidirect
77. #2486C22semidirect
85. #2428C22semidirect
86. #2422C22semidirect
87. #2422C22semidirect
89. #2416C22semidirect
101. #2094C22semidirect
102. #2093C22semidirect
105. #2077C22semidirect
106. #2077C22semidirect
107. #2076C22semidirect
108. #2076C22semidirect
109. #2072C22semidirect
110. #2071C22semidirect
111. #2067C22semidirect
112. #2066C22semidirect
113. #2066C22semidirect
114. #2065C22semidirect
115. #2054C22semidirect
116. #2054C22semidirect
117. #2042C22semidirect
118. #2041C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2036C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2000C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1982C22semidirect
150. #1972C22semidirect
151. #1968C22semidirect
152. #1959C22semidirect
153. #1957C22semidirect
155. #1954C22semidirect
156. #1954C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1927C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1895C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1877C22semidirect
176. #1874C22semidirect
177. #1872C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1865C22semidirect
182. #1865C22semidirect
183. #1865C22semidirect
184. #1863C22semidirect
185. #1803C22semidirect
186. #1803C22semidirect
195. #1788C22semidirect
202. C4×#103C22semidirect
1418. Q8#560semidirect

Maximal subgroups

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

subgroupindex
#454782
#364292
#328802
#327072
#316742
#313072
#312862
#310322
#310262
#310112
#309852
#305152
#304472
#304442
#304172
#304122
#275272
#275222
#257592
#251792
#251532
#249162
#248962
#244512
#244412
#242562
#242382
#240452
#233082