Finite Group Databasebeta

← #7562295

Subgroups — #7562295

Order 512.

2325 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3311C211yesmaximal, characteristic, complemented
2C2×#3060C211yesmaximal, characteristic, complemented
3#45258C211yesmaximal, characteristic, complemented
4#44886C211yesmaximal, characteristic, complemented
5#30934C211yesmaximal, characteristic, complemented
6#30732C211yesmaximal, characteristic, complemented
7#30618C211yesmaximal, characteristic, complemented
8#30425C211yesmaximal, characteristic, complemented
9#28933C211yesmaximal, characteristic, complemented
10#28557C211yesmaximal, characteristic, complemented
11#28353C211yesmaximal, characteristic, complemented
12#27282C211yesmaximal, characteristic, complemented
13#26978C211yesmaximal, characteristic, complemented
14#26338C211yesmaximal, characteristic, complemented
15#26136C211yesmaximal, characteristic, complemented
16#25540C211yesmaximal, characteristic, complemented
17#25387C211yesmaximal, characteristic, complemented
18#25213C211yesmaximal, characteristic, complemented
19#25123C211yesmaximal, characteristic, complemented
20#25115C211yesmaximal, characteristic, complemented
21#25080C211yesmaximal, characteristic, complemented
22#24434C211yesmaximal, characteristic, complemented
23#24362C211yesmaximal, characteristic, complemented
24#24017C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23144C211yesmaximal, characteristic, complemented
28#22863C211yesmaximal, characteristic, complemented
29#22422C211yesmaximal, characteristic, complemented
30#21443C211yesmaximal, characteristic, complemented
31#20975C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic
34C2×#556C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3311—28no—
41C2×#489C2211yescharacteristic
42C2×#485C2211yescharacteristic
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#476C2211yescharacteristic
46#3060—28no—
47C2×#470C2211yescharacteristic
48C2×#470C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic
57C2×#460C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#440C2211yescharacteristic
65C2×#435C2211yescharacteristic
66C2×#435C2211yescharacteristic, complemented
67C2×C8×D4C2211yescharacteristic, complemented
68C22×#106C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic
72C2×#416C2211yescharacteristic
73C22×#102C2211yescharacteristic
74#2714—21no—
75#2702—21no—
76#2691—21no—
77#2676—21no—
78#2676—21no—
79#2673—21no—
80#2669—21no—
81#2669—21no—
82#2559—21no—
83#2555—21no—
84#2541—21no—
85#2541C2211yescharacteristic
86#2538C2211yescharacteristic, complemented
87#2500C2211yescharacteristic
88#2491C2211yescharacteristic, complemented
89#2465—21no—
90#2461—21no—
91#2440C2211yescharacteristic, complemented
92#2433C2211yescharacteristic
93#2431C2211yescharacteristic
94#2428C2211yescharacteristic
95#2426—21no—
96#2426C2211yescharacteristic
97#2424—21no—
98#2424—21no—
99#2421C2211yescharacteristic, complemented
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic
102#2414C2211yescharacteristic
103#2414C2211yescharacteristic, complemented
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2388C2211yescharacteristic
107#2362C2211yescharacteristic
108#2361C2211yescharacteristic
109#2360C2211yescharacteristic
110#2352C2211yescharacteristic, complemented
111#2341C2211yescharacteristic, complemented
112#2311C2211yescharacteristic
113#2094C2211yescharacteristic
114#2092C2211yescharacteristic
115#2088C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2072C2211yescharacteristic, complemented
119#2065C2211yescharacteristic
120#2065C2211yescharacteristic, complemented
121#2058C2211yescharacteristic, complemented
122#2055C2211yescharacteristic
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic
126#2041C2211yescharacteristic
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2012C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1982C2211yescharacteristic
146#1972C2211yescharacteristic
147#1970C2211yescharacteristic
148#1961C2211yescharacteristic
149#1957C2211yescharacteristic
150#1948C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1935C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1926C2211yescharacteristic
156#1925C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1920C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic
180#1873C2211yescharacteristic
181#1872C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1780C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1736C2211yescharacteristic
204#1735C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#135—24no—
211C2×#135—42no—
212C2×#135—42no—
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C2×#131—24no—
222C2×#131—42no—
223C2×#131—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#556—24no—
232#556—42no—
233#550—24no—
234#550—42no—
235#546—24no—
236#546—42no—
237#537—24no—
238#537—24no—
239#537—42no—
240#537—42no—
241#535—24no—
242#535—42no—
243C2×C4⋊Q8C2311yescharacteristic
244C2×#127—21no—
245C2×#127—21no—
246C2×#127—21no—
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#126—21no—
250C2×#126—21no—
251C2×#124—21no—
252C2×#124—21no—
253C2×#124—21no—
254C2×#124C2311yescharacteristic
255C2×#123—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×C4×Q8—21no—
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309#489—24no—
310#485—24no—
311#482—24no—
312#482—42no—
313#476—24no—
314#470—24no—
315#470D418yescomplemented
316#469—24no—
317#469—24no—
318#465—24no—
319#465—24no—
320#465—24no—
321#465—24no—
322#465—24no—
323#464—24no—
324#460—42no—
325#452—24no—
326#450—24no—
327#449—24no—
328#449—42no—
329#449—42no—
330#447—42no—
331#440—24no—
332#435—24no—
333#435—42no—
334C8×D4—42no—
335C2×#107C2311yescharacteristic
336C2×#107C2311yescharacteristic
337C2×#106—24no—
338C2×#106C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347#418—24no—
348#417—24no—
349#417—24no—
350#416—24no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102—42no—
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#400—21no—
397#398—21no—
398#397—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#395—21no—
405#395D411yescharacteristic
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394D411yescharacteristic
418#394D411yescharacteristic
419#394D411yescharacteristic
420#393—21no—
421#393D411yescharacteristic
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392D411yescharacteristic
434#392D411yescharacteristic
435#392D411yescharacteristic
436#391—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#389—21no—
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#387—21no—
471#387—21no—
472#387—21no—
473#387—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384C2311yescharacteristic
491#382C2311yescharacteristic
492#380—21no—
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C22×Q8—21no—
556C22×Q8C2×D411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
560C22×D4—22no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605#135—416no—
606C2×Q16—41no—
607C2×Q16—41no—
608C2×Q16C2×D414yes—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630#131—416no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—41no—
635C2×M16—41no—
636C2×M16—41no—
637C2×M16—41no—
638C2×M16—41no—
639C2×M16C2×D414yes—
640C22×C8—22no—
641C22×C8—22no—
642C22×C8—22no—
643C22×C8—22no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C4⋊Q8—22no—
661C4⋊Q8—41no—
662#127—22no—
663#127—41no—
664#127—41no—
665#127—41no—
666#127—44no—
667#127—44no—
668#127—82no—
669#126—44no—
670#126—44no—
671#124—22no—
672#124—41no—
673#124—44no—
674#124—44no—
675#124—82no—
676#123—44no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—22no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—41no—
685C22⋊Q8—44no—
686C22⋊Q8—44no—
687C22⋊Q8—82no—
688C22⋊Q8C2×D414yes—
689C22⋊Q8C2×D414yes—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—41no—
716#121—44no—
717#121—44no—
718#121—41no—
719#121—41no—
720#121—82no—
721#121—82no—
722#121—82no—
723#121#4114yes—
724#120—44no—
725#120—44no—
726#120—44no—
727#120—82no—
728#120—82no—
729C4×Q8—22no—
730C4×Q8—22no—
731C4×Q8—41no—
732C4×Q8—41no—
733C4×Q8—41no—
734C4×Q8—41no—
735C4×Q8—44no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—44no—
745C4×D4—82no—
746#117—22no—
747#117—22no—
748#117—22no—
749#117—22no—
750#117—41no—
751#117—41no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—21no—
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—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—41no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—41no—
855#106—22no—
856#106—22no—
857#106—22no—
858#106—22no—
859#106—41no—
860#106C2×D414yes—
861C4⋊C8—22no—
862C4⋊C8—22no—
863C4⋊C8—41no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—41no—
870#103—41no—
871#103—41no—
872#103C2×D414yes—
873#103C2×D414yes—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102—41no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905#97—22no—
906#97—41no—
907C4×C8—41no—
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#95—21no—
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—42no—
937C24—42no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24C22×D411yescharacteristic
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947#41—44no—
948#41—44no—
949#41—44no—
950#41—44no—
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—44no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—22no—
964C2×Q8—22no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—41no—
976C2×Q8—42no—
977C2×Q8—42no—
978C2×Q8—81no—
979C2×Q8C22×D412yes—
980C2×Q8C22×D412yes—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—24no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
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—44no—
1015C2×D4—44no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
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—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4C2×#4112yes—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D412yes—
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C2×#4112yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4C2511yescharacteristic
1152Q16—44no—
1153SD16—44no—
1154SD16—44no—
1155SD16—44no—
1156SD16—82no—
1157D8—44no—
1158D8—82no—
1159D8—82no—
1160M16—44no—
1161M16—44no—
1162M16—44no—
1163C2×C8—28no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—44no—
1186C2×C8—44no—
1187C2×C8—82no—
1188C2×C8C22×D412yes—
1189C2×C8C22×D412yes—
1190C2×C8H(5,𝔽2)12yes—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4—81no—
1229C4⋊C4C22×D412yes—
1230C4⋊C4C22×D412yes—
1231C4⋊C4C2×#4112yes—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—24no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C42—21no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—81no—
1297C42—81no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—22no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—84no—
1353C23—84no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23D4212yes—
1360C23#54612yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—22no—
1365Q8—22no—
1366Q8—44no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—84no—
1372D4—22no—
1373D4—22no—
1374D4—44no—
1375D4—44no—
1376D4—44no—
1377D4—44no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—84no—
1393D4—82no—
1394D4—82no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—162no—
1401D4—162no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
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—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4—162no—
1499C2×C4D4212yes—
1500C2×C4#54612yes—
1501C2×C4#57712yes—
1502C2×C4C23×D411yescharacteristic
1503C2×C4C22×#4111yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C2×C4C2×H(5,𝔽2)11yescharacteristic
1507C2×C4#58511yescharacteristic
1508C8—22no—
1509C8—22no—
1510C8—22no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—168no—
1573C22C2×D4211yescharacteristic
1574C22C2×#54611yescharacteristic
1575C22#349611yescharacteristic
1576C22C2×#57711yescharacteristic
1577C22#358411yescharacteristic
1578C22#358511yescharacteristic
1579C22#358511yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—41no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—42no—
1594C4—42no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4D4×#4111yescharacteristic
1603C4#348411yescharacteristic
1604C4#351911yescharacteristic
1605C4#353411yescharacteristic
1606C2—42no—
1607C2—42no—
1608C2—81no—
1609C2—81no—
1610C2—82no—
1611C2—161no—
1612C2—161no—
1613C2—161no—
1614C2#5912311yescharacteristic
1615C2#6107711yescharacteristic
1616C2#6109511yescharacteristic
1617C2#6119511yescharacteristic
1618C2#6120011yescharacteristic
1619C2#6226511yescharacteristic
1620C2#6233411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3311C2semidirect
2. C2×#3060C2semidirect
3. #45258C2semidirect
4. #44886C2semidirect
5. #30934C2semidirect
6. #30732C2semidirect
7. #30618C2semidirect
8. #30425C2semidirect
9. #28933C2semidirect
10. #28557C2semidirect
11. #28353C2semidirect
12. #27282C2semidirect
13. #26978C2semidirect
14. #26338C2semidirect
15. #26136C2semidirect
16. #25540C2semidirect
17. #25387C2semidirect
18. #25213C2semidirect
19. #25123C2semidirect
20. #25115C2semidirect
21. #25080C2semidirect
22. #24434C2semidirect
23. #24362C2semidirect
24. #24017C2semidirect
25. #23924C2semidirect
26. #23857C2semidirect
27. #23144C2semidirect
28. #22863C2semidirect
29. #22422C2semidirect
30. #21443C2semidirect
31. #20975C2semidirect
32. C22×#135C22semidirect
48. C2×#470C22semidirect
50. C2×#469C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
66. C2×#435C22semidirect
67. C2×C8×D4C22semidirect
68. C22×#106C22semidirect
69. C2×#417C22semidirect
70. C2×#417C22semidirect
86. #2538C22semidirect
88. #2491C22semidirect
91. #2440C22semidirect
99. #2421C22semidirect
103. #2414C22semidirect
105. #2407C22semidirect
110. #2352C22semidirect
111. #2341C22semidirect
115. #2088C22semidirect
116. #2085C22semidirect
117. #2077C22semidirect
118. #2072C22semidirect
120. #2065C22semidirect
121. #2058C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2035C22semidirect
131. #2034C22semidirect
132. #2033C22semidirect
133. #2023C22semidirect
140. #2000C22semidirect
144. #1999C22semidirect
150. #1948C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
153. #1935C22semidirect
154. #1933C22semidirect
156. #1925C22semidirect
157. #1920C22semidirect
158. #1920C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
176. #1875C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
186. #1863C22semidirect
187. #1854C22semidirect
188. #1853C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
192. #1850C22semidirect
193. #1805C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. #1763C22semidirect
199. C4×#103C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
315. #470D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33112
C2×#30602
#452582
#448862
#309342
#307322
#306182
#304252
#289332
#285572
#283532
#272822
#269782
#263382
#261362
#255402
#253872
#252132
#251232
#251152
#250802
#244342
#243622
#240172
#239242
#238572
#231442
#228632
#224222
#214432
#209752