Finite Group Databasebeta

← #7562029

Subgroups — #7562029

Order 512.

2370 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3324C211yesmaximal, characteristic, complemented
2C2×#3061C211yesmaximal, characteristic, complemented
3#45258C211yesmaximal, characteristic, complemented
4#44868C211yesmaximal, characteristic, complemented
5#30922C211yesmaximal, characteristic, complemented
6#30722C211yesmaximal, characteristic, complemented
7#30608C211yesmaximal, characteristic, complemented
8#30420C211yesmaximal, characteristic, complemented
9#28907C211yesmaximal, characteristic, complemented
10#28569C211yesmaximal, characteristic, complemented
11#28357C211yesmaximal, characteristic, complemented
12#27270C211yesmaximal, characteristic, complemented
13#26963C211yesmaximal, characteristic, complemented
14#26336C211yesmaximal, characteristic, complemented
15#26140C211yesmaximal, characteristic, complemented
16#25542C211yesmaximal, characteristic, complemented
17#25399C211yesmaximal, characteristic, complemented
18#25209C211yesmaximal, characteristic, complemented
19#25139C211yesmaximal, characteristic, complemented
20#25116C211yesmaximal, characteristic, complemented
21#25084C211yesmaximal, characteristic, complemented
22#24424C211yesmaximal, characteristic, complemented
23#24362C211yesmaximal, characteristic, complemented
24#24017C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23850C211yesmaximal, characteristic, complemented
27#23145C211yesmaximal, characteristic, complemented
28#22883C211yesmaximal, characteristic, complemented
29#22427C211yesmaximal, characteristic, complemented
30#21445C211yesmaximal, characteristic, complemented
31#20975C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34C2×#556C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40#3324—28no—
41C2×#486C2211yescharacteristic
42C2×#485C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#474C2211yescharacteristic
46#3061—28no—
47C2×#468C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#467C2211yescharacteristic, complemented
53C2×#467C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#466C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×C4×SD16C2211yescharacteristic
65C2×#436C2211yescharacteristic
66C2×#436C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C22×#107C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic
72C2×#418C2211yescharacteristic
73C22×#102C2211yescharacteristic
74#2714—21no—
75#2702—21no—
76#2691—21no—
77#2678—21no—
78#2676—21no—
79#2672—21no—
80#2669—21no—
81#2668—21no—
82#2559—21no—
83#2555—21no—
84#2540C2211yescharacteristic
85#2538C2211yescharacteristic, complemented
86#2500C2211yescharacteristic, complemented
87#2491C2211yescharacteristic, complemented
88#2472—21no—
89#2465—21no—
90#2440C2211yescharacteristic, complemented
91#2435C2211yescharacteristic
92#2431C2211yescharacteristic
93#2428—21no—
94#2428C2211yescharacteristic
95#2427C2211yescharacteristic
96#2426—21no—
97#2421C2211yescharacteristic, complemented
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic
100#2415C2211yescharacteristic
101#2414C2211yescharacteristic, complemented
102#2410—21no—
103#2408—21no—
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2388C2211yescharacteristic
107#2363C2211yescharacteristic
108#2361C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110#2352C2211yescharacteristic, complemented
111#2341C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2093C2211yescharacteristic
114#2092C2211yescharacteristic, complemented
115#2086C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2067C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2036C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2015C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1972C2211yescharacteristic
147#1970C2211yescharacteristic, complemented
148#1959C2211yescharacteristic, complemented
149#1958C2211yescharacteristic
150#1947C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1918C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1854C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1780C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×#135—24no—
212C2×#135—42no—
213C2×#135—42no—
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C2×#131—24no—
223C2×#131—42no—
224C2×#131—42no—
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#556—24no—
233#556—42no—
234#546—24no—
235#546—42no—
236D42—24no—
237D42—42no—
238#537—24no—
239#537—24no—
240#537—42no—
241#537—42no—
242#535—24no—
243#535—42no—
244C2×C4⋊Q8C2311yescharacteristic
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#126—21no—
248C2×#126—21no—
249C2×#124—21no—
250C2×#124—21no—
251C2×#124—21no—
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
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×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×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×C4×Q8—21no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×D4—21no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—21no—
307#486—24no—
308#485—42no—
309#482—24no—
310#482—24no—
311#474—24no—
312#468—24no—
313#468—24no—
314#468—24no—
315#468—24no—
316#468D418yescomplemented
317#467—24no—
318#467—24no—
319#466—24no—
320#466—24no—
321#464—42no—
322#460—24no—
323#450—24no—
324#450—24no—
325#449—24no—
326#449—42no—
327#447—42no—
328#447—42no—
329C4×SD16—24no—
330#436—24no—
331#436—42no—
332#435—42no—
333C2×#107—24no—
334C2×#107C2311yescharacteristic
335C2×#107C2311yescharacteristic
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×C4⋊C8C2311yescharacteristic
343C2×C4⋊C8C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345#418—24no—
346#418—24no—
347#417—24no—
348#417—24no—
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#102—42no—
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×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×C4×C8C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394#400—21no—
395#399—21no—
396#398—21no—
397#397—21no—
398#397—21no—
399#397—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#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
421#394D411yescharacteristic
422#393—21no—
423#393D411yescharacteristic
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392D411yescharacteristic
432#392D411yescharacteristic
433#392D411yescharacteristic
434#391—21no—
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#389—21no—
452#389—21no—
453#389—21no—
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#388—21no—
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#387—21no—
468#387—21no—
469#387—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#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#382C2311yescharacteristic
488#380—21no—
489#380—21no—
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4C2311yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C22⋊C4—21no—
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—
531C25—21no—
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—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8—21no—
551C22×Q8C2×D411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×Q8C2411yescharacteristic
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—21no—
560C22×D4—21no—
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—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—44no—
583C22×D4—82no—
584C22×D4—82no—
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606#135—416no—
607C2×Q16—22no—
608C2×Q16—22no—
609C2×Q16—41no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16C2×D414yes—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631#131—416no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—41no—
637C2×M16—41no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C2×M16C2×D414yes—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—22no—
649C22×C8—22no—
650C22×C8—22no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C4⋊Q8—22no—
662C4⋊Q8—41no—
663#127—22no—
664#127—41no—
665#127—44no—
666#126—44no—
667#126—44no—
668#124—22no—
669#124—41no—
670#124—41no—
671#124—41no—
672#124—44no—
673#124—44no—
674#124—82no—
675#123—44no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—22no—
682C22⋊Q8—22no—
683C22⋊Q8—44no—
684C22⋊Q8—41no—
685C22⋊Q8—41no—
686C22⋊Q8—41no—
687C22⋊Q8—41no—
688C22⋊Q8—44no—
689C22⋊Q8—82no—
690C22⋊Q8C2×D414yes—
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—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—41no—
716#121—41no—
717#121—82no—
718#121—82no—
719#121—82no—
720#121C2×D414yes—
721#121#4114yes—
722#120—44no—
723#120—44no—
724#120—44no—
725#120—44no—
726#120—44no—
727#120—82no—
728C4×Q8—22no—
729C4×Q8—41no—
730C4×Q8—41no—
731C4×Q8—41no—
732C4×Q8—44no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—82no—
744#117—22no—
745#117—22no—
746#117—22no—
747#117—22no—
748#117—41no—
749#117—41no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
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—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—41no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4—41no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
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—22no—
855#107—22no—
856#107—22no—
857#107—41no—
858#107C2×D414yes—
859#106—22no—
860#106—41no—
861C4⋊C8—22no—
862C4⋊C8—22no—
863C4⋊C8—41no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—41no—
869#103—41no—
870#103—41no—
871#103—41no—
872#103—41no—
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—22no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102C2×D414yes—
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—41no—
906C4×C8—22no—
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—42no—
939C24—42no—
940C24—42no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24—81no—
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952C24C22×D411yescharacteristic
953C24C22×D411yescharacteristic
954#41—44no—
955#41—44no—
956#41—44no—
957#41—44no—
958#41—44no—
959#41—44no—
960#41—44no—
961#41—44no—
962#41—82no—
963#41—82no—
964#41—82no—
965#41—82no—
966C2×Q8—22no—
967C2×Q8—22no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—41no—
980C2×Q8—42no—
981C2×Q8—42no—
982C2×Q8—81no—
983C2×Q8C22×D412yes—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—22no—
989C2×D4—24no—
990C2×D4—22no—
991C2×D4—24no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—22no—
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—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
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—44no—
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—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—82no—
1056C2×D4—82no—
1057C2×D4—82no—
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—816no—
1081C2×D4C22×D412yes—
1082C2×D4C2×#4112yes—
1083C22×C4—21no—
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—42no—
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—81no—
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×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D412yes—
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C2×#4112yes—
1148C22×C4H(5,𝔽2)12yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4C2511yescharacteristic
1151Q16—44no—
1152SD16—44no—
1153SD16—44no—
1154SD16—44no—
1155SD16—82no—
1156D8—44no—
1157D8—82no—
1158D8—82no—
1159M16—44no—
1160M16—44no—
1161M16—44no—
1162M16—82no—
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×C8C22×D412yes—
1188C2×C8C22×D412yes—
1189C2×C8H(5,𝔽2)12yes—
1190C4⋊C4—24no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
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—41no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
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—81no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4C22×D412yes—
1229C4⋊C4C22×D412yes—
1230C4⋊C4C2×#4112yes—
1231C22⋊C4—24no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—24no—
1235C22⋊C4—22no—
1236C22⋊C4—24no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—42no—
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—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—
1285C22⋊C4—81no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—81no—
1297C42—81no—
1298C42—81no—
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—22no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
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—41no—
1353C23—84no—
1354C23—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—162no—
1359C23—162no—
1360C23—162no—
1361C23—162no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23—162no—
1367C23D4212yes—
1368C23#54612yes—
1369C23C23×D411yescharacteristic
1370Q8—22no—
1371Q8—22no—
1372Q8—44no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—41no—
1378Q8—41no—
1379Q8—84no—
1380D4—22no—
1381D4—22no—
1382D4—22no—
1383D4—22no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
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—84no—
1401D4—84no—
1402D4—82no—
1403D4—84no—
1404D4—84no—
1405D4—84no—
1406D4—82no—
1407D4—84no—
1408D4—84no—
1409D4—84no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414D4—162no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
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—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
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—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—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—84no—
1500C2×C4—162no—
1501C2×C4—162no—
1502C2×C4—162no—
1503C2×C4—162no—
1504C2×C4D4212yes—
1505C2×C4#54612yes—
1506C2×C4#57612yes—
1507C2×C4C23×D411yescharacteristic
1508C2×C4C22×#4111yescharacteristic
1509C2×C4C2×H(5,𝔽2)11yescharacteristic
1510C2×C4C2×H(5,𝔽2)11yescharacteristic
1511C2×C4C2×H(5,𝔽2)11yescharacteristic
1512C2×C4#58511yescharacteristic
1513C8—22no—
1514C8—22no—
1515C8—22no—
1516C8—41no—
1517C8—41no—
1518C8—41no—
1519C8—41no—
1520C8—41no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—42no—
1554C22—42no—
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—168no—
1578C22—168no—
1579C22C2×D4211yescharacteristic
1580C22C2×#54611yescharacteristic
1581C22#349611yescharacteristic
1582C22C2×#57611yescharacteristic
1583C22#358411yescharacteristic
1584C22#358511yescharacteristic
1585C22#358611yescharacteristic
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4—81no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4D4×#4111yescharacteristic
1609C4#348411yescharacteristic
1610C4#351911yescharacteristic
1611C4#353411yescharacteristic
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—82no—
1617C2—82no—
1618C2—161no—
1619C2—161no—
1620C2#5912311yescharacteristic
1621C2#6107211yescharacteristic
1622C2#6109611yescharacteristic
1623C2#6119611yescharacteristic
1624C2#6119911yescharacteristic
1625C2#6228511yescharacteristic
1626C2#6232411yescharacteristic
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×#3324C2semidirect
2. C2×#3061C2semidirect
3. #45258C2semidirect
4. #44868C2semidirect
5. #30922C2semidirect
6. #30722C2semidirect
7. #30608C2semidirect
8. #30420C2semidirect
9. #28907C2semidirect
10. #28569C2semidirect
11. #28357C2semidirect
12. #27270C2semidirect
13. #26963C2semidirect
14. #26336C2semidirect
15. #26140C2semidirect
16. #25542C2semidirect
17. #25399C2semidirect
18. #25209C2semidirect
19. #25139C2semidirect
20. #25116C2semidirect
21. #25084C2semidirect
22. #24424C2semidirect
23. #24362C2semidirect
24. #24017C2semidirect
25. #23924C2semidirect
26. #23850C2semidirect
27. #23145C2semidirect
28. #22883C2semidirect
29. #22427C2semidirect
30. #21445C2semidirect
31. #20975C2semidirect
32. C22×#135C22semidirect
33. C22×#131C22semidirect
38. C2×#537C22semidirect
42. C2×#485C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
52. C2×#467C22semidirect
53. C2×#467C22semidirect
55. C2×#466C22semidirect
56. C2×#464C22semidirect
59. C2×#449C22semidirect
66. C2×#436C22semidirect
67. C2×#435C22semidirect
68. C22×#107C22semidirect
69. C2×#417C22semidirect
70. C2×#417C22semidirect
85. #2538C22semidirect
86. #2500C22semidirect
87. #2491C22semidirect
90. #2440C22semidirect
97. #2421C22semidirect
101. #2414C22semidirect
105. #2407C22semidirect
109. #2360C22semidirect
110. #2352C22semidirect
111. #2341C22semidirect
112. #2311C22semidirect
114. #2092C22semidirect
115. #2086C22semidirect
116. #2085C22semidirect
117. #2076C22semidirect
118. #2071C22semidirect
120. #2067C22semidirect
121. #2057C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2042C22semidirect
127. #2036C22semidirect
128. #2036C22semidirect
129. #2035C22semidirect
130. #2034C22semidirect
132. #2033C22semidirect
133. #2024C22semidirect
136. #2012C22semidirect
138. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
144. #1999C22semidirect
147. #1970C22semidirect
148. #1959C22semidirect
150. #1947C22semidirect
151. #1936C22semidirect
152. #1934C22semidirect
153. #1933C22semidirect
154. #1933C22semidirect
155. #1926C22semidirect
156. #1925C22semidirect
157. #1921C22semidirect
158. #1918C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
170. #1880C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
174. #1877C22semidirect
175. #1875C22semidirect
178. #1874C22semidirect
179. #1873C22semidirect
180. #1873C22semidirect
181. #1872C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
187. #1854C22semidirect
188. #1853C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
193. #1804C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
197. #1780C22semidirect
198. #1763C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
316. #468D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33242
C2×#30612
#452582
#448682
#309222
#307222
#306082
#304202
#289072
#285692
#283572
#272702
#269632
#263362
#261402
#255422
#253992
#252092
#251392
#251162
#250842
#244242
#243622
#240172
#239242
#238502
#231452
#228832
#224272
#214452
#209752