Finite Group Databasebeta

← #7055963

Subgroups — #7055963

Order 512.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3314C211yesmaximal, characteristic, complemented
2C2×#3297C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#39165C211yesmaximal, characteristic, complemented
5#31145C211yesmaximal, characteristic, complemented
6#31140C211yesmaximal, characteristic, complemented
7#30903C211yesmaximal, characteristic, complemented
8#30889C211yesmaximal, characteristic, complemented
9#30730C211yesmaximal, characteristic, complemented
10#30701C211yesmaximal, characteristic, complemented
11#30475C211yesmaximal, characteristic, complemented
12#30463C211yesmaximal, characteristic, complemented
13#28576C211yesmaximal, characteristic, complemented
14#27276C211yesmaximal, characteristic, complemented
15#27269C211yesmaximal, characteristic, complemented
16#26913C211yesmaximal, characteristic, complemented
17#26889C211yesmaximal, characteristic, complemented
18#25725C211yesmaximal, characteristic, complemented
19#25422C211yesmaximal, characteristic, complemented
20#25419C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#25112C211yesmaximal, characteristic, complemented
23#24451C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24427C211yesmaximal, characteristic, complemented
26#24426C211yesmaximal, characteristic, complemented
27#23969C211yesmaximal, characteristic, complemented
28#23963C211yesmaximal, characteristic, complemented
29C2×#2041C211yesmaximal, characteristic, complemented
30#23117C211yesmaximal, characteristic, complemented
31#22085C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C22×#127C2211yescharacteristic
38#3314—28no—
39#3297—28no—
40C2×#496C2211yescharacteristic
41C2×#496C2211yescharacteristic
42C2×#489C2211yescharacteristic, complemented
43C2×#488C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic, complemented
48C2×#474C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#467C2211yescharacteristic
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic, complemented
55C2×#464C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#440C2211yescharacteristic, complemented
66C2×C4×D8C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C2×C8×D4C2211yescharacteristic
69C2×#417C2211yescharacteristic, complemented
70C2×#416C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic
72C22×#102C2211yescharacteristic
73C22×#102C2211yescharacteristic
74C22×#102C2211yescharacteristic
75#2850C2211yescharacteristic
76#2725—21no—
77#2707—21no—
78#2702—21no—
79#2681—21no—
80#2673—21no—
81#2673—21no—
82#2639—21no—
83#2548C2211yescharacteristic
84#2541—21no—
85#2541C2211yescharacteristic
86#2453C2211yescharacteristic, complemented
87#2452C2211yescharacteristic, complemented
88#2445—21no—
89#2442C2211yescharacteristic, complemented
90#2439C2211yescharacteristic, complemented
91#2433—21no—
92#2431C2211yescharacteristic
93#2431C2211yescharacteristic
94#2428C2211yescharacteristic
95#2428C2211yescharacteristic
96#2427C2211yescharacteristic, complemented
97#2426C2211yescharacteristic, complemented
98#2417—21no—
99#2417C2211yescharacteristic
100#2416—21no—
101#2416C2211yescharacteristic
102#2416C2211yescharacteristic, complemented
103#2415C2211yescharacteristic, complemented
104#2410—21no—
105#2410—21no—
106#2408C2211yescharacteristic
107#2408C2211yescharacteristic
108#2366C2211yescharacteristic
109D4×C22⋊C4—21no—
110#2325—21no—
111C4×C22⋊Q8C2211yescharacteristic
112C4×#121C2211yescharacteristic
113C2×#389C2211yescharacteristic
114#2085C2211yescharacteristic, complemented
115#2074C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic
130#2041C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2023C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2014C2211yescharacteristic
142#2014C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1961C2211yescharacteristic
157#1961C2211yescharacteristic
158#1943C2211yescharacteristic, complemented
159#1943C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1918C2211yescharacteristic, complemented
169#1918C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic
191#1869C2211yescharacteristic
192#1869C2211yescharacteristic, complemented
193#1865C2211yescharacteristic, complemented
194#1865C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1853C2211yescharacteristic
198#1824C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1749C2211yescharacteristic
204C2×#336C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#554—24no—
226#554—42no—
227#553—24no—
228#553—42no—
229#550—42no—
230#550—42no—
231#546—24no—
232#546—24no—
233#546—42no—
234#546—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—21no—
237C2×#127—21no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—42no—
241C2×#127—42no—
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125—21no—
248C2×#125C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121D411yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
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
296C2×C4×D4C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C22×C4⋊C4—21no—
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C22⋊C4—21no—
303C22×C22⋊C4—21no—
304C22×C42C2311yescharacteristic
305#496—42no—
306#496—42no—
307#489—24no—
308#488—24no—
309#484D418yescomplemented
310#482—24no—
311#480—24no—
312#478—24no—
313#474—24no—
314#469—42no—
315#468—24no—
316#467—24no—
317#466—24no—
318#465—24no—
319#465—42no—
320#464—24no—
321#463—24no—
322#452—24no—
323#452—42no—
324#450—24no—
325#450—42no—
326#449—24no—
327#449—42no—
328#447—24no—
329#447—42no—
330#440—24no—
331C4×D8—24no—
332#435—24no—
333C8×D4—24no—
334C2×#107C2311yescharacteristic
335C2×#107C2311yescharacteristic
336C2×#107C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#417—24no—
343#416—24no—
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#102—24no—
354C2×#102—24no—
355C2×#102—42no—
356C2×#102—42no—
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×#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×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#400—21no—
397#400—21no—
398#398—21no—
399#398—21no—
400#398—21no—
401#397—21no—
402#397—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—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#394—21no—
418#394—21no—
419#394—21no—
420#393—21no—
421#393—21no—
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#391—21no—
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390D411yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389—21no—
450#389—21no—
451#389—21no—
452#389D411yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388D411yescharacteristic
465#388D411yescharacteristic
466#387—21no—
467#387—21no—
468#387—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—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#386D411yescharacteristic
484#386D411yescharacteristic
485#385—21no—
486#385—21no—
487#385—21no—
488#382C2311yescharacteristic
489#380—21no—
490#380—21no—
491#380—21no—
492#380D411yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498C4×C4⋊C4—21no—
499C4×C4⋊C4C2311yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C22⋊C4—21no—
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C2×#95—21no—
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8—21no—
542C22×Q8C2411yescharacteristic
543C22×Q8C2411yescharacteristic
544C22×D4—22no—
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—22no—
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—22no—
570C22×D4—22no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—44no—
578C22×D4—44no—
579C22×D4—44no—
580C22×D4—82no—
581C22×D4—82no—
582C22×D4—82no—
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4C2×D411yescharacteristic
600C23×C4C2×D411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C2×Q16—22no—
605C2×Q16—41no—
606C2×Q16—41no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×M16—22no—
635C2×M16—41no—
636C2×M16—41no—
637C22×C8—22no—
638C22×C8—22no—
639C22×C8—22no—
640C22×C8—41no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C4⋊Q8—22no—
655C4⋊Q8—41no—
656#127—22no—
657#127—22no—
658#127—22no—
659#127—22no—
660#127—41no—
661#127—41no—
662#127—41no—
663#127—41no—
664#127—44no—
665#127—44no—
666#127—44no—
667#127—82no—
668#126—44no—
669#125—22no—
670#125—41no—
671#125—44no—
672#124—22no—
673#124—22no—
674#124—41no—
675#124—41no—
676#124—41no—
677#124—41no—
678#123—44no—
679#123—44no—
680#123—44no—
681C22⋊Q8—22no—
682C22⋊Q8—22no—
683C22⋊Q8—22no—
684C22⋊Q8—22no—
685C22⋊Q8—44no—
686C22⋊Q8—44no—
687C22⋊Q8—41no—
688C22⋊Q8—41no—
689C22⋊Q8—41no—
690C22⋊Q8—82no—
691C22⋊Q8C2×D414yes—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—44no—
700#121—44no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—42no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—44no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—41no—
716#121—41no—
717#121—82no—
718#121—82no—
719#121—82no—
720#120—44no—
721#120—44no—
722#120—82no—
723#120—82no—
724C4×Q8—22no—
725C4×Q8—41no—
726C4×Q8—41no—
727C4×Q8—41no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—44no—
741C4×D4—44no—
742C4×D4—44no—
743C4×D4—82no—
744#117—22no—
745#117—41no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
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—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4—82no—
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D414yes—
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
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⋊C4—44no—
825C2×C22⋊C4—44no—
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×C42—41no—
841C2×C42—41no—
842C2×C42C2×D411yescharacteristic
843C2×C42C2×D411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847C2×C42C2411yescharacteristic
848#107—22no—
849#107C2×D414yescomplemented
850#107C2×D414yescomplemented
851#106—22no—
852#106—41no—
853#106—41no—
854C4⋊C8—22no—
855C4⋊C8—22no—
856#103—22no—
857#103—22no—
858#103—22no—
859#103—41no—
860#103—41no—
861#103—41no—
862#103—41no—
863#103C2×D414yescomplemented
864#103C2×D414yescomplemented
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
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—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—22no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8C2×D414yes—
900#97—22no—
901#97—41no—
902#97—41no—
903C4×C8—22no—
904#95—21no—
905#95—21no—
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#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—42no—
941C24—42no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951#41—44no—
952#41—44no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—42no—
971C2×Q8—81no—
972C2×Q8—81no—
973C2×Q8C22×D412yes—
974C2×D4—24no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—24no—
982C2×D4—22no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
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—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—42no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
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—42no—
1047C2×D4—42no—
1048C2×D4—82no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
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—816no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—816no—
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×D4—81no—
1084C2×D4H(5,𝔽2)12yes—
1085C2×D4H(5,𝔽2)12yes—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—24no—
1097C22×C4—22no—
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—21no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
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×C4—81no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D412yes—
1154C22×C4C22×D411yescharacteristic
1155C22×C4H(5,𝔽2)12yes—
1156C22×C4C2511yescharacteristic
1157Q16—82no—
1158SD16—44no—
1159SD16—82no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163D8—44no—
1164D8—82no—
1165D8—82no—
1166D8—82no—
1167M16—82no—
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—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—82no—
1191C2×C8—82no—
1192C2×C8—82no—
1193C2×C8C22×D412yes—
1194C2×C8C22×D412yes—
1195C4⋊C4—24no—
1196C4⋊C4—24no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
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—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—81no—
1230C4⋊C4—81no—
1231C4⋊C4—81no—
1232C4⋊C4—81no—
1233C4⋊C4—81no—
1234C4⋊C4C22×D412yes—
1235C4⋊C4C22×D412yes—
1236C4⋊C4C22×D412yes—
1237C22⋊C4—24no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
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—81no—
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—
1284C22⋊C4—81no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—21no—
1293C42—41no—
1294C42—41no—
1295C42—42no—
1296C42—42no—
1297C42—42no—
1298C42—42no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—22no—
1310C23—22no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
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—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—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—84no—
1359C23—84no—
1360C23—162no—
1361C23—162no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23D4212yes—
1367C23#57512yes—
1368C23#57712yes—
1369C23C23×D411yescharacteristic
1370Q8—22no—
1371Q8—22no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—41no—
1378Q8—162no—
1379D4—22no—
1380D4—22no—
1381D4—22no—
1382D4—22no—
1383D4—48no—
1384D4—44no—
1385D4—44no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—82no—
1403D4—84no—
1404D4—84no—
1405D4—84no—
1406D4—84no—
1407D4—84no—
1408D4—84no—
1409D4—84no—
1410D4—84no—
1411D4—84no—
1412D4—84no—
1413D4—84no—
1414D4—84no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419D4—162no—
1420D4—162no—
1421D4—162no—
1422D4—162no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
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—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—162no—
1505C2×C4—162no—
1506C2×C4—162no—
1507C2×C4—162no—
1508C2×C4—162no—
1509C2×C4D4212yes—
1510C2×C4#57612yes—
1511C2×C4C23×D411yescharacteristic
1512C2×C4C2×H(5,𝔽2)11yescharacteristic
1513C2×C4C2×H(5,𝔽2)11yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C2×C4#58511yescharacteristic
1516C2×C4#58511yescharacteristic
1517C8—22no—
1518C8—22no—
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—41no—
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—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—168no—
1581C22—168no—
1582C22#327114yes—
1583C22C2×D4211yescharacteristic
1584C22#348411yescharacteristic
1585C22#350011yescharacteristic
1586C22C2×#57511yescharacteristic
1587C22C2×#57611yescharacteristic
1588C22C2×#57711yescharacteristic
1589C22#358511yescharacteristic
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—41no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4—81no—
1609C4—81no—
1610C4—81no—
1611C4—81no—
1612C4#348811yescharacteristic
1613C4#348811yescharacteristic
1614C4#353411yescharacteristic
1615C4#353411yescharacteristic
1616C2—24no—
1617C2—81no—
1618C2—81no—
1619C2—82no—
1620C2—82no—
1621C2—161no—
1622C2—161no—
1623C2—161no—
1624C2#4388911yescharacteristic
1625C2C2×#327111yescharacteristic
1626C2#6109311yescharacteristic
1627C2#6159211yescharacteristic
1628C2#6161011yescharacteristic
1629C2#6255011yescharacteristic
1630C2#6257811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3314C2semidirect
2. C2×#3297C2semidirect
3. #59124C2semidirect
4. #39165C2semidirect
5. #31145C2semidirect
6. #31140C2semidirect
7. #30903C2semidirect
8. #30889C2semidirect
9. #30730C2semidirect
10. #30701C2semidirect
11. #30475C2semidirect
12. #30463C2semidirect
13. #28576C2semidirect
14. #27276C2semidirect
15. #27269C2semidirect
16. #26913C2semidirect
17. #26889C2semidirect
18. #25725C2semidirect
19. #25422C2semidirect
20. #25419C2semidirect
21. #25124C2semidirect
22. #25112C2semidirect
23. #24451C2semidirect
24. #24434C2semidirect
25. #24427C2semidirect
26. #24426C2semidirect
27. #23969C2semidirect
28. #23963C2semidirect
29. C2×#2041C2semidirect
30. #23117C2semidirect
31. #22085C2semidirect
42. C2×#489C22semidirect
43. C2×#488C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
47. C2×#478C22semidirect
48. C2×#474C22semidirect
49. C2×#469C22semidirect
50. C2×#468C22semidirect
52. C2×#466C22semidirect
54. C2×#465C22semidirect
55. C2×#464C22semidirect
56. C2×#463C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
65. C2×#440C22semidirect
66. C2×C4×D8C22semidirect
69. C2×#417C22semidirect
70. C2×#416C22semidirect
86. #2453C22semidirect
87. #2452C22semidirect
89. #2442C22semidirect
90. #2439C22semidirect
96. #2427C22semidirect
97. #2426C22semidirect
102. #2416C22semidirect
103. #2415C22semidirect
114. #2085C22semidirect
115. #2074C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
119. #2054C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2025C22semidirect
136. #2025C22semidirect
137. #2023C22semidirect
138. #2023C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
143. #2012C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1972C22semidirect
155. #1968C22semidirect
158. #1943C22semidirect
159. #1943C22semidirect
160. #1936C22semidirect
161. #1935C22semidirect
162. #1935C22semidirect
163. #1934C22semidirect
164. #1927C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1918C22semidirect
169. #1918C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
174. #1893C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1874C22semidirect
187. #1874C22semidirect
189. #1870C22semidirect
192. #1869C22semidirect
193. #1865C22semidirect
194. #1865C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
309. #484D4semidirect
849. #107C2×D4semidirect
850. #107C2×D4semidirect
863. #103C2×D4semidirect
864. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33142
C2×#32972
#591242
#391652
#311452
#311402
#309032
#308892
#307302
#307012
#304752
#304632
#285762
#272762
#272692
#269132
#268892
#257252
#254222
#254192
#251242
#251122
#244512
#244342
#244272
#244262
#239692
#239632
C2×#20412
#231172
#220852