Finite Group Databasebeta

← #6806586

Subgroups — #6806586

Order 512.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3319C211yesmaximal, characteristic, complemented
2C2×#3050C211yesmaximal, characteristic, complemented
3#39886C211yesmaximal, characteristic, complemented
4#39885C211yesmaximal, characteristic, complemented
5#32930C211yesmaximal, characteristic, complemented
6#30851C211yesmaximal, characteristic, complemented
7#30849C211yesmaximal, characteristic, complemented
8#30665C211yesmaximal, characteristic, complemented
9#30661C211yesmaximal, characteristic, complemented
10#30570C211yesmaximal, characteristic, complemented
11#30562C211yesmaximal, characteristic, complemented
12#30501C211yesmaximal, characteristic, complemented
13#30499C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28935C211yesmaximal, characteristic, complemented
17#28933C211yesmaximal, characteristic, complemented
18#28349C211yesmaximal, characteristic, complemented
19#28106C211yesmaximal, characteristic, complemented
20#26977C211yesmaximal, characteristic, complemented
21#26976C211yesmaximal, characteristic, complemented
22#25402C211yesmaximal, characteristic, complemented
23#25399C211yesmaximal, characteristic, complemented
24#25120C211yesmaximal, characteristic, complemented
25#25116C211yesmaximal, characteristic, complemented
26#24585C211yesmaximal, characteristic, complemented
27#24362C211yesmaximal, characteristic, complemented
28#24093C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22569C211yesmaximal, characteristic, complemented
31#21440C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C24×C8C2211yescharacteristic, complemented
34C2×#555C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38#3319—28no—
39C2×#489C2211yescharacteristic, complemented
40C2×#485C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic
42C2×#482C2211yescharacteristic, complemented
43C2×#474C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45#3050—28no—
46C2×#467C2211yescharacteristic, complemented
47C2×#467C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#450C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic
67C2×#435C2211yescharacteristic
68C2×#435C2211yescharacteristic
69C2×#427C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic
72C2×#416C2211yescharacteristic, complemented
73#2847C2211yescharacteristic
74#2847C2211yescharacteristic, complemented
75#2710—21no—
76#2703—21no—
77#2701—21no—
78#2697—21no—
79#2679—21no—
80#2678—21no—
81#2670—21no—
82#2669—21no—
83#2631—21no—
84#2630—21no—
85#2602—21no—
86#2598—21no—
87#2544—21no—
88#2541C2211yescharacteristic
89#2540C2211yescharacteristic
90#2538C2211yescharacteristic
91#2536C2211yescharacteristic
92#2534—21no—
93#2500C2211yescharacteristic
94#2492C2211yescharacteristic, complemented
95#2491C2211yescharacteristic, complemented
96#2485C2211yescharacteristic
97#2431C2211yescharacteristic, complemented
98#2428C2211yescharacteristic, complemented
99#2427C2211yescharacteristic, complemented
100#2426C2211yescharacteristic
101#2426C2211yescharacteristic
102#2422C2211yescharacteristic
103#2420C2211yescharacteristic
104#2415C2211yescharacteristic
105#2414C2211yescharacteristic
106#2408C2211yescharacteristic
107#2408C2211yescharacteristic
108#2407C2211yescharacteristic
109#2347C2211yescharacteristic, complemented
110#2341C2211yescharacteristic
111#2324—21no—
112#2321—21no—
113C4×#120C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2093C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2084C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2058C2211yescharacteristic, complemented
123#2057C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2001C2211yescharacteristic, complemented
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1973C2211yescharacteristic, complemented
155#1972C2211yescharacteristic, complemented
156#1961C2211yescharacteristic, complemented
157#1959C2211yescharacteristic, complemented
158#1949C2211yescharacteristic, complemented
159#1947C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1936C2211yescharacteristic, complemented
163#1935C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1895C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1893C2211yescharacteristic
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1808C2211yescharacteristic, complemented
195#1808C2211yescharacteristic, complemented
196#1808C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#135—24no—
210C2×#135—42no—
211C2×#135—42no—
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8—24no—
223C23×C8—42no—
224C23×C8—42no—
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#555—24no—
232#555—42no—
233#546—24no—
234#546—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#124—21no—
239C2×#124—21no—
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243#525—24no—
244#525—24no—
245#525—42no—
246#525—42no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#123—21no—
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120D411yescharacteristic
280C2×C4×Q8C2311yescharacteristic
281C2×C4×Q8C2311yescharacteristic
282C2×C4×D4—21no—
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4—21no—
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×#117—21no—
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C22×C22⋊C4—21no—
296#489—24no—
297#485—24no—
298#482—24no—
299#482—42no—
300#474—24no—
301#468—24no—
302#467—24no—
303#467—24no—
304#466—24no—
305#466—24no—
306#466—24no—
307#466—42no—
308#466—42no—
309#465—24no—
310#465—24no—
311#465—24no—
312#465—24no—
313#464—42no—
314#463—24no—
315#460—42no—
316#450—42no—
317#449—24no—
318#449—42no—
319#447—24no—
320#447—42no—
321#442—24no—
322#435—24no—
323#435—42no—
324#435—42no—
325#427—24no—
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340#418—24no—
341#416—24no—
342#416D418yescomplemented
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
382C2×#97C2311yescharacteristic
383C2×#97C2311yescharacteristic
384C2×#97C2311yescharacteristic
385#400—21no—
386#399—21no—
387#398—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#396—21no—
394#396—21no—
395#396—21no—
396#396—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#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#393—21no—
414#393—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#391—21no—
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#389—21no—
444#389—21no—
445#389C2311yescharacteristic
446#389C2311yescharacteristic
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#387—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386D411yescharacteristic
476#386D411yescharacteristic
477#386D411yescharacteristic
478#385—21no—
479#385—21no—
480#385D411yescharacteristic
481#385D411yescharacteristic
482#385D411yescharacteristic
483#384C2311yescharacteristic
484#383—21no—
485#382C2311yescharacteristic
486#381—21no—
487#380—21no—
488#380—21no—
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498#379—21no—
499#379D411yescharacteristic
500C4×C4⋊C4—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25C2×D411yescharacteristic
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×#41C2×D414yes—
541C22×Q8—21no—
542C22×Q8C2411yescharacteristic
543C22×Q8C2411yescharacteristic
544C22×D4—21no—
545C22×D4—22no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C23×C4—22no—
575C23×C4—22no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4C2×D411yescharacteristic
585C23×C4C2×D411yescharacteristic
586C23×C4C2×D411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591#135—416no—
592C2×Q16—22no—
593C2×Q16—22no—
594C2×Q16—41no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×M16—22no—
620C2×M16—41no—
621C2×M16—41no—
622C22×C8—22no—
623C22×C8—22no—
624C22×C8—22no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—22no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—416no—
640C22×C8C2×D414yes—
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C4⋊Q8—22no—
650C4⋊Q8—41no—
651#127—41no—
652#127—41no—
653#127—82no—
654#124—22no—
655#124—44no—
656#124—41no—
657#124—41no—
658#124—41no—
659#124—44no—
660#124—82no—
661#123—44no—
662#123—44no—
663#123—44no—
664#123—82no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—22no—
669C22⋊Q8—22no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—44no—
687#121—44no—
688#121—44no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#120—42no—
705#120—44no—
706#120—44no—
707#120—44no—
708#120—44no—
709#120—82no—
710#120—82no—
711#120—82no—
712C4×Q8—41no—
713C4×Q8—41no—
714C4×Q8—41no—
715C4×Q8—41no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—44no—
727C4×D4—44no—
728C4×D4—44no—
729C4×D4—44no—
730#117—22no—
731#117—22no—
732#117—22no—
733#117—22no—
734#117—44no—
735#117—41no—
736#117C2×D414yes—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
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—44no—
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C42—21no—
826C2×C42—21no—
827C2×C42—21no—
828C2×C42—21no—
829C2×C42—21no—
830C2×C42—21no—
831C2×C42—21no—
832C2×C42C2411yescharacteristic
833C2×C42C2411yescharacteristic
834C2×C42C2411yescharacteristic
835#107—22no—
836#107—22no—
837#107—22no—
838#107—22no—
839#107—41no—
840#107—41no—
841#107—41no—
842#106—22no—
843#106—22no—
844#106—22no—
845#106—41no—
846C4⋊C8—22no—
847C4⋊C8—22no—
848C4⋊C8—22no—
849#103—22no—
850#103—22no—
851#103—22no—
852#103—41no—
853#103—41no—
854#103—41no—
855#103—41no—
856#103—41no—
857#103C2×D414yes—
858#103C2×D414yes—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102C2×D414yes—
878#102C2×D414yes—
879C22⋊C8—22no—
880C22⋊C8—22no—
881C22⋊C8—22no—
882C22⋊C8—22no—
883C22⋊C8—22no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888#97—22no—
889#97—41no—
890#97—41no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917C24—22no—
918C24—22no—
919C24—22no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—41no—
925C24—41no—
926C24—41no—
927C24—41no—
928C24—42no—
929C24—42no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24C22×D411yescharacteristic
936C24C22×D411yescharacteristic
937C24C22×D411yescharacteristic
938C24C22×D411yescharacteristic
939#41—44no—
940#41—44no—
941#41—44no—
942#41—44no—
943#41—82no—
944#41—82no—
945#41—82no—
946#41—82no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—42no—
959C2×Q8—81no—
960C2×Q8—81no—
961C2×Q8C22×D412yes—
962C2×D4—22no—
963C2×D4—24no—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—44no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4C22×D412yes—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—22no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—24no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—42no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D412yes—
1120C22×C4H(5,𝔽2)12yes—
1121C22×C4C2511yescharacteristic
1122Q16—44no—
1123SD16—44no—
1124SD16—44no—
1125SD16—82no—
1126SD16—82no—
1127D8—44no—
1128D8—44no—
1129D8—82no—
1130D8—82no—
1131M16—82no—
1132C2×C8—28no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—44no—
1154C2×C8—44no—
1155C2×C8—44no—
1156C2×C8—44no—
1157C2×C8—44no—
1158C2×C8C22×D412yes—
1159C2×C8C22×D412yes—
1160C2×C8H(5,𝔽2)12yes—
1161C2×C8H(5,𝔽2)12yes—
1162C4⋊C4—22no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4—81no—
1193C4⋊C4—81no—
1194C4⋊C4—81no—
1195C4⋊C4—81no—
1196C4⋊C4—81no—
1197C4⋊C4—81no—
1198C4⋊C4C22×D412yes—
1199C4⋊C4C22×D412yes—
1200C22⋊C4—24no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
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—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
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—
1259C42—24no—
1260C42—21no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—42no—
1267C42—42no—
1268C42—81no—
1269C42—81no—
1270C42—81no—
1271C42—81no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—22no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—44no—
1299C23—44no—
1300C23—44no—
1301C23—44no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—84no—
1333C23—84no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23D4212yes—
1340C23#57512yes—
1341C23#57612yes—
1342C23C23×D411yescharacteristic
1343Q8—22no—
1344Q8—22no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—162no—
1352D4—22no—
1353D4—22no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—82no—
1369D4—82no—
1370D4—82no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374D4—84no—
1375D4—84no—
1376D4—84no—
1377D4—84no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385D4—162no—
1386D4—162no—
1387D4—162no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—84no—
1475C2×C4—162no—
1476C2×C4D4212yes—
1477C2×C4C23×D411yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C2×C4C2×H(5,𝔽2)11yescharacteristic
1481C2×C4#58511yescharacteristic
1482C2×C4#58511yescharacteristic
1483C8—22no—
1484C8—22no—
1485C8—22no—
1486C8—22no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—42no—
1519C22—42no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—168no—
1549C22C2×D4211yescharacteristic
1550C22#349611yescharacteristic
1551C22#349611yescharacteristic
1552C22C2×#57511yescharacteristic
1553C22C2×#57611yescharacteristic
1554C22#358411yescharacteristic
1555C22#358411yescharacteristic
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—42no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4—81no—
1578C4#344911yescharacteristic
1579C4#348411yescharacteristic
1580C4#354211yescharacteristic
1581C4#354211yescharacteristic
1582C2—42no—
1583C2—42no—
1584C2—42no—
1585C2—81no—
1586C2—82no—
1587C2—161no—
1588C2—161no—
1589C2—161no—
1590C2#3933211yescharacteristic
1591C2#6103011yescharacteristic
1592C2#6105611yescharacteristic
1593C2#6225511yescharacteristic
1594C2#6225711yescharacteristic
1595C2#6226611yescharacteristic
1596C2#6227311yescharacteristic
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. C2×#3319C2semidirect
2. C2×#3050C2semidirect
3. #39886C2semidirect
4. #39885C2semidirect
5. #32930C2semidirect
6. #30851C2semidirect
7. #30849C2semidirect
8. #30665C2semidirect
9. #30661C2semidirect
10. #30570C2semidirect
11. #30562C2semidirect
12. #30501C2semidirect
13. #30499C2semidirect
14. #29600C2semidirect
15. #29600C2semidirect
16. #28935C2semidirect
17. #28933C2semidirect
18. #28349C2semidirect
19. #28106C2semidirect
20. #26977C2semidirect
21. #26976C2semidirect
22. #25402C2semidirect
23. #25399C2semidirect
24. #25120C2semidirect
25. #25116C2semidirect
26. #24585C2semidirect
27. #24362C2semidirect
28. #24093C2semidirect
29. #23850C2semidirect
30. #22569C2semidirect
31. #21440C2semidirect
33. C24×C8C22semidirect
37. C2×#525C22semidirect
39. C2×#489C22semidirect
40. C2×#485C22semidirect
42. C2×#482C22semidirect
43. C2×#474C22semidirect
44. C2×#468C22semidirect
46. C2×#467C22semidirect
47. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#465C22semidirect
57. C2×#464C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
62. C2×#450C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#442C22semidirect
69. C2×#427C22semidirect
70. C2×#418C22semidirect
72. C2×#416C22semidirect
74. #2847C22semidirect
94. #2492C22semidirect
95. #2491C22semidirect
97. #2431C22semidirect
98. #2428C22semidirect
99. #2427C22semidirect
109. #2347C22semidirect
114. #2097C22semidirect
115. #2093C22semidirect
116. #2085C22semidirect
117. #2084C22semidirect
118. #2068C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2058C22semidirect
123. #2057C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2036C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2015C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2001C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
154. #1973C22semidirect
155. #1972C22semidirect
156. #1961C22semidirect
157. #1959C22semidirect
158. #1949C22semidirect
159. #1947C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1936C22semidirect
163. #1935C22semidirect
164. #1926C22semidirect
165. #1925C22semidirect
166. #1925C22semidirect
167. #1925C22semidirect
168. #1895C22semidirect
169. #1894C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
176. #1880C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
179. #1877C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
185. #1863C22semidirect
186. #1862C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1850C22semidirect
190. #1850C22semidirect
191. #1850C22semidirect
192. #1825C22semidirect
193. #1825C22semidirect
194. #1808C22semidirect
195. #1808C22semidirect
196. #1808C22semidirect
198. #1788C22semidirect
199. #1779C22semidirect
200. #1763C22semidirect
201. #1763C22semidirect
202. #1752C22semidirect
203. #1752C22semidirect
204. #1752C22semidirect
342. #416D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33192
C2×#30502
#398862
#398852
#329302
#308512
#308492
#306652
#306612
#305702
#305622
#305012
#304992
#296002
#289352
#289332
#283492
#281062
#269772
#269762
#254022
#253992
#251202
#251162
#245852
#243622
#240932
#238502
#225692
#214402