Finite Group Databasebeta

← #7561902

Subgroups — #7561902

Order 512.

2381 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3332C211yesmaximal, characteristic, complemented
2C2×#3062C211yesmaximal, characteristic, complemented
3#44886C211yesmaximal, characteristic, complemented
4#44869C211yesmaximal, characteristic, complemented
5#30913C211yesmaximal, characteristic, complemented
6#30703C211yesmaximal, characteristic, complemented
7#30589C211yesmaximal, characteristic, complemented
8#30402C211yesmaximal, characteristic, complemented
9#28923C211yesmaximal, characteristic, complemented
10#28569C211yesmaximal, characteristic, complemented
11#28360C211yesmaximal, characteristic, complemented
12#27254C211yesmaximal, characteristic, complemented
13#26966C211yesmaximal, characteristic, complemented
14#26353C211yesmaximal, characteristic, complemented
15#26146C211yesmaximal, characteristic, complemented
16#25533C211yesmaximal, characteristic, complemented
17#25392C211yesmaximal, characteristic, complemented
18#25202C211yesmaximal, characteristic, complemented
19#25137C211yesmaximal, characteristic, complemented
20#25125C211yesmaximal, characteristic, complemented
21#25081C211yesmaximal, characteristic, complemented
22#24427C211yesmaximal, characteristic, complemented
23#24372C211yesmaximal, characteristic, complemented
24#24013C211yesmaximal, characteristic, complemented
25#23929C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23143C211yesmaximal, characteristic, complemented
28#22876C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#21445C211yesmaximal, characteristic, complemented
31#20976C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#131C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3332—28no—
41C2×#486C2211yescharacteristic
42C2×#481C2211yescharacteristic
43C2×#481C2211yescharacteristic, complemented
44C2×#480C2211yescharacteristic
45C2×#475C2211yescharacteristic, complemented
46#3062—28no—
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×C4×SD16C2211yescharacteristic, complemented
65C2×#436C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C2×#428C2211yescharacteristic
69C2×#417C2211yescharacteristic
70C2×#417C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74#2708—21no—
75#2701—21no—
76#2687—21no—
77#2681—21no—
78#2676—21no—
79#2673—21no—
80#2669—21no—
81#2669—21no—
82#2549—21no—
83#2541—21no—
84#2541C2211yescharacteristic
85#2537C2211yescharacteristic, complemented
86#2502C2211yescharacteristic, complemented
87#2492C2211yescharacteristic, complemented
88#2464—21no—
89#2461—21no—
90#2440C2211yescharacteristic
91#2433C2211yescharacteristic
92#2431C2211yescharacteristic
93#2430—21no—
94#2428C2211yescharacteristic
95#2426C2211yescharacteristic
96#2424—21no—
97#2424—21no—
98#2422C2211yescharacteristic, complemented
99#2417C2211yescharacteristic, complemented
100#2416C2211yescharacteristic
101#2415C2211yescharacteristic, complemented
102#2414C2211yescharacteristic
103#2407—21no—
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2388C2211yescharacteristic
107#2363C2211yescharacteristic, complemented
108#2362C2211yescharacteristic
109#2361C2211yescharacteristic
110D4×C4⋊C4C2211yescharacteristic
111#2339C2211yescharacteristic
112#2311C2211yescharacteristic
113#2095C2211yescharacteristic, complemented
114#2093C2211yescharacteristic, complemented
115#2086C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2071C2211yescharacteristic
119#2068C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2055C2211yescharacteristic
123#2055C2211yescharacteristic
124#2054C2211yescharacteristic, complemented
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic
134#2015C2211yescharacteristic
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic
137#2012C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1973C2211yescharacteristic, complemented
147#1969C2211yescharacteristic, complemented
148#1959C2211yescharacteristic
149#1957C2211yescharacteristic
150#1948C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic
154#1933C2211yescharacteristic, complemented
155#1927C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1920C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1894C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic
188#1854C2211yescharacteristic
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1780C2211yescharacteristic
198#1762C2211yescharacteristic
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—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#550—24no—
233#550—42no—
234#547—24no—
235#547—42no—
236#546—24no—
237#546—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×#127—21no—
247C2×#127—21no—
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#124—21no—
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×C4×Q8C2311yescharacteristic
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310#486—24no—
311#481—24no—
312#481—24no—
313#480—42no—
314#475—24no—
315#469—24no—
316#469—24no—
317#469D418yescomplemented
318#468—24no—
319#468—24no—
320#466—24no—
321#466—24no—
322#465—24no—
323#465—24no—
324#459—24no—
325#459—42no—
326#452—24no—
327#452—42no—
328#452—42no—
329#449—24no—
330#449—24no—
331#449—42no—
332C4×SD16—24no—
333#436—24no—
334#436—42no—
335#435—42no—
336#428—24no—
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#417—24no—
349#417—24no—
350#416—24no—
351#416—42no—
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#102—24no—
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×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396C2×C4×C8C2311yescharacteristic
397#400—21no—
398#398—21no—
399#398—21no—
400#398—21no—
401#398—21no—
402#397—21no—
403#397—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#395—21no—
408#395D411yescharacteristic
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#392—21no—
432#392—21no—
433#392—21no—
434#392D411yescharacteristic
435#392D411yescharacteristic
436#392D411yescharacteristic
437#391—21no—
438#391—21no—
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
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#387—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#384C2311yescharacteristic
490#384C2311yescharacteristic
491#381—21no—
492#380—21no—
493#380—21no—
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500C4×C4⋊C4—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C2×#95—21no—
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—
555C2×#41—44no—
556C2×#41—82no—
557C2×#41—82no—
558C22×Q8—21no—
559C22×Q8C2×D411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—22no—
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—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2×D411yescharacteristic
592C22×D4C2×D411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611AGL(1,ℤ/8)—416no—
612C2×Q16—22no—
613C2×Q16—41no—
614C2×Q16—41no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8C2×D414yes—
636#131—416no—
637C2×M16—22no—
638C2×M16—22no—
639C2×M16—22no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—41no—
644C2×M16—41no—
645C2×M16—41no—
646C2×M16—41no—
647C2×M16—41no—
648C2×M16C2×D414yes—
649C22×C8—22no—
650C22×C8—22no—
651C22×C8—22no—
652C22×C8—22no—
653C22×C8—22no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8—41no—
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C4⋊Q8—22no—
667C4⋊Q8—41no—
668#127—22no—
669#127—41no—
670#127—41no—
671#127—41no—
672#127—44no—
673#127—44no—
674#127—82no—
675#124—22no—
676#124—41no—
677#124—44no—
678#123—44no—
679#123—44no—
680#123—44no—
681#123—82no—
682C22⋊Q8—22no—
683C22⋊Q8—22no—
684C22⋊Q8—22no—
685C22⋊Q8—22no—
686C22⋊Q8—22no—
687C22⋊Q8—44no—
688C22⋊Q8—44no—
689C22⋊Q8—41no—
690C22⋊Q8—41no—
691C22⋊Q8—44no—
692C22⋊Q8—41no—
693C22⋊Q8—41no—
694C22⋊Q8—82no—
695C22⋊Q8#4114yescomplemented
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—44no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—44no—
723#121—44no—
724#121—44no—
725#121—82no—
726#121—82no—
727#121—82no—
728#121C2×D414yes—
729#121C2×D414yes—
730#120—44no—
731#120—44no—
732#120—44no—
733#120—82no—
734#120—82no—
735C4×Q8—22no—
736C4×Q8—41no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—44no—
750C4×D4—82no—
751C4×D4—82no—
752#117—22no—
753#117—41no—
754#117—41no—
755#117—41no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
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—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—41no—
781C2×C4⋊C4—41no—
782C2×C4⋊C4—41no—
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
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—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42—21no—
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853C2×C42C2411yescharacteristic
854#107—22no—
855#107—22no—
856#107—41no—
857#107—41no—
858#106—22no—
859#106—22no—
860#106—22no—
861#106C2×D414yes—
862C4⋊C8—22no—
863C4⋊C8—22no—
864C4⋊C8—41no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—22no—
872#103—41no—
873#103—41no—
874#103—41no—
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—41no—
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#102C2×D414yes—
896#102C2×D414yes—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—22no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906#97—41no—
907C4×C8—22no—
908C4×C8—41no—
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#95—21no—
927#95—21no—
928#95—21no—
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932#95C2×D411yescharacteristic
933#95C2×D411yescharacteristic
934#95C2×D411yescharacteristic
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—42no—
940C24—42no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950#41—44no—
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—44no—
956#41—44no—
957#41—44no—
958#41—44no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963#41—82no—
964#41—82no—
965#41—82no—
966#41—816no—
967C2×Q8—22no—
968C2×Q8—22no—
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—21no—
980C2×Q8—41no—
981C2×Q8—42no—
982C2×Q8—42no—
983C2×Q8—81no—
984C2×Q8C2×#4112yes—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—24no—
992C2×D4—24no—
993C2×D4—22no—
994C2×D4—22no—
995C2×D4—22no—
996C2×D4—22no—
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—21no—
1018C2×D4—21no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—41no—
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—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—82no—
1052C2×D4—82no—
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×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4C22×D412yes—
1087C2×D4C22×D412yes—
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—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
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—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
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×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D412yes—
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C2×#4112yes—
1162C22×C4H(5,𝔽2)12yes—
1163C22×C4H(5,𝔽2)12yes—
1164C22×C4C2511yescharacteristic
1165Q16—82no—
1166SD16—44no—
1167SD16—44no—
1168SD16—44no—
1169SD16—82no—
1170D8—44no—
1171D8—44no—
1172D8—82no—
1173M16—28no—
1174M16—44no—
1175M16—44no—
1176M16—82no—
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—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—44no—
1199C2×C8—44no—
1200C2×C8—44no—
1201C2×C8C22×D412yes—
1202C2×C8C22×D412yes—
1203C2×C8H(5,𝔽2)12yes—
1204C4⋊C4—22no—
1205C4⋊C4—24no—
1206C4⋊C4—22no—
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—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—41no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—81no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4C22×D412yes—
1244C4⋊C4C22×D412yes—
1245C4⋊C4C2×#4112yes—
1246C22⋊C4—22no—
1247C22⋊C4—24no—
1248C22⋊C4—22no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
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—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C42—21no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—42no—
1302C42—42no—
1303C42—42no—
1304C42—81no—
1305C42—81no—
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—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—22no—
1323C23—22no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
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—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—84no—
1361C23—84no—
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—44no—
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—82no—
1402D4—84no—
1403D4—84no—
1404D4—84no—
1405D4—84no—
1406D4—84no—
1407D4—84no—
1408D4—84no—
1409D4—84no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414D4—162no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419D4—162no—
1420D4—162no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
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—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—41no—
1498C2×C4—41no—
1499C2×C4—84no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4—162no—
1506C2×C4—162no—
1507C2×C4—162no—
1508C2×C4—162no—
1509C2×C4D4212yes—
1510C2×C4#54612yes—
1511C2×C4#57612yes—
1512C2×C4#57712yes—
1513C2×C4C23×D411yescharacteristic
1514C2×C4C22×#4111yescharacteristic
1515C2×C4C2×H(5,𝔽2)11yescharacteristic
1516C2×C4C2×H(5,𝔽2)11yescharacteristic
1517C2×C4C2×H(5,𝔽2)11yescharacteristic
1518C2×C4#58511yescharacteristic
1519C8—22no—
1520C8—22no—
1521C8—22no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
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—42no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—41no—
1560C22—41no—
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—81no—
1581C22—81no—
1582C22—81no—
1583C22—168no—
1584C22C2×D4211yescharacteristic
1585C22C2×#54611yescharacteristic
1586C22#349611yescharacteristic
1587C22C2×#57611yescharacteristic
1588C22C2×#57711yescharacteristic
1589C22#358511yescharacteristic
1590C22#358611yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—41no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—41no—
1600C4—42no—
1601C4—41no—
1602C4—41no—
1603C4—42no—
1604C4—41no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4—81no—
1609C4—81no—
1610C4—81no—
1611C4—81no—
1612C4—81no—
1613C4D4×#4111yescharacteristic
1614C4#348411yescharacteristic
1615C4#351911yescharacteristic
1616C4#353411yescharacteristic
1617C2—42no—
1618C2—42no—
1619C2—81no—
1620C2—81no—
1621C2—82no—
1622C2—82no—
1623C2—161no—
1624C2—161no—
1625C2#5912311yescharacteristic
1626C2#6107211yescharacteristic
1627C2#6109411yescharacteristic
1628C2#6117811yescharacteristic
1629C2#6121511yescharacteristic
1630C2#6231911yescharacteristic
1631C2#6235311yescharacteristic
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×#3332C2semidirect
2. C2×#3062C2semidirect
3. #44886C2semidirect
4. #44869C2semidirect
5. #30913C2semidirect
6. #30703C2semidirect
7. #30589C2semidirect
8. #30402C2semidirect
9. #28923C2semidirect
10. #28569C2semidirect
11. #28360C2semidirect
12. #27254C2semidirect
13. #26966C2semidirect
14. #26353C2semidirect
15. #26146C2semidirect
16. #25533C2semidirect
17. #25392C2semidirect
18. #25202C2semidirect
19. #25137C2semidirect
20. #25125C2semidirect
21. #25081C2semidirect
22. #24427C2semidirect
23. #24372C2semidirect
24. #24013C2semidirect
25. #23929C2semidirect
26. #23863C2semidirect
27. #23143C2semidirect
28. #22876C2semidirect
29. #22419C2semidirect
30. #21445C2semidirect
31. #20976C2semidirect
35. C2×#547C22semidirect
43. C2×#481C22semidirect
45. C2×#475C22semidirect
49. C2×#469C22semidirect
60. C2×#452C22semidirect
63. C2×#449C22semidirect
64. C2×C4×SD16C22semidirect
65. C2×#436C22semidirect
66. C2×#436C22semidirect
70. C2×#417C22semidirect
72. C2×#416C22semidirect
85. #2537C22semidirect
86. #2502C22semidirect
87. #2492C22semidirect
98. #2422C22semidirect
99. #2417C22semidirect
101. #2415C22semidirect
107. #2363C22semidirect
113. #2095C22semidirect
114. #2093C22semidirect
115. #2086C22semidirect
116. #2084C22semidirect
117. #2076C22semidirect
119. #2068C22semidirect
120. #2066C22semidirect
121. #2057C22semidirect
124. #2054C22semidirect
129. #2034C22semidirect
132. #2033C22semidirect
138. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
144. #1999C22semidirect
146. #1973C22semidirect
147. #1969C22semidirect
150. #1948C22semidirect
151. #1936C22semidirect
154. #1933C22semidirect
155. #1927C22semidirect
156. #1925C22semidirect
157. #1920C22semidirect
158. #1920C22semidirect
161. #1895C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
166. #1893C22semidirect
168. #1892C22semidirect
172. #1878C22semidirect
174. #1877C22semidirect
179. #1874C22semidirect
181. #1872C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
186. #1862C22semidirect
189. #1852C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
317. #469D4semidirect
695. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#33322
C2×#30622
#448862
#448692
#309132
#307032
#305892
#304022
#289232
#285692
#283602
#272542
#269662
#263532
#261462
#255332
#253922
#252022
#251372
#251252
#250812
#244272
#243722
#240132
#239292
#238632
#231432
#228762
#224192
#214452
#209762