Finite Group Databasebeta

← #6667844

Subgroups — #6667844

Order 512.

2915 conjugacy classes of subgroups.

The subgroup lattice has 1719 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3266C211yesmaximal, characteristic, complemented
2C2×#3007C211yesmaximal, characteristic, complemented
3#39595C211yesmaximal, characteristic, complemented
4#36212C211yesmaximal, characteristic
5#32883C211yesmaximal, characteristic, complemented
6#31067C211yesmaximal, characteristic, complemented
7#31062C211yesmaximal, characteristic, complemented
8#31014C211yesmaximal, characteristic, complemented
9#30989C211yesmaximal, characteristic, complemented
10#30474C211yesmaximal, characteristic, complemented
11#30473C211yesmaximal, characteristic, complemented
12#30409C211yesmaximal, characteristic, complemented
13#30407C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29595C211yesmaximal, characteristic, complemented
16#28360C211yesmaximal, characteristic, complemented
17#28103C211yesmaximal, characteristic, complemented
18#25176C211yesmaximal, characteristic, complemented
19#25154C211yesmaximal, characteristic, complemented
20#24921C211yesmaximal, characteristic, complemented
21#24919C211yesmaximal, characteristic, complemented
22#24548C211yesmaximal, characteristic, complemented
23#24368C211yesmaximal, characteristic, complemented
24#24259C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#24049C211yesmaximal, characteristic, complemented
27#23868C211yesmaximal, characteristic, complemented
28#23852C211yesmaximal, characteristic, complemented
29#23849C211yesmaximal, characteristic, complemented
30#22444C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic, complemented
41#3266—28no—
42C2×#497C2211yescharacteristic, complemented
43C2×#480C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#467C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#464C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50#3007—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic
54C2×#452C2211yescharacteristic
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#451C2211yescharacteristic, complemented
60C2×#451C2211yescharacteristic, complemented
61C2×#451C2211yescharacteristic, complemented
62C2×#451C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic
75C2×#417C2211yescharacteristic, complemented
76C2×#407C2211yescharacteristic, complemented
77#2849—21no—
78#2848C2211yescharacteristic, complemented
79#2847C2211yescharacteristic
80#2732—21no—
81#2732—21no—
82#2729—21no—
83#2729—21no—
84#2626—21no—
85#2583—21no—
86#2579—21no—
87#2538C2211yescharacteristic
88#2538C2211yescharacteristic, complemented
89#2502C2211yescharacteristic, complemented
90#2487C2211yescharacteristic, complemented
91#2436C2211yescharacteristic
92#2431C2211yescharacteristic
93#2431C2211yescharacteristic
94#2430—21no—
95#2430—21no—
96#2429C2211yescharacteristic, complemented
97#2429C2211yescharacteristic, complemented
98#2423C2211yescharacteristic, complemented
99#2423C2211yescharacteristic, complemented
100#2410—21no—
101#2409C2211yescharacteristic
102#2409C2211yescharacteristic
103#2409C2211yescharacteristic, complemented
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2404—21no—
107#2404—21no—
108#2403—21no—
109Q8×C22⋊C4C2211yescharacteristic, complemented
110#2339C2211yescharacteristic
111#2339C2211yescharacteristic
112D4×C22⋊C4C2211yescharacteristic
113#2321—21no—
114C4×#120C2211yescharacteristic
115C2×#386—21no—
116#2095C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2072C2211yescharacteristic, complemented
121#2072C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2056C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2036C2211yescharacteristic, complemented
136#2036C2211yescharacteristic, complemented
137#2036C2211yescharacteristic, complemented
138#2035C2211yescharacteristic, complemented
139#2034C2211yescharacteristic
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1971C2211yescharacteristic, complemented
158#1969C2211yescharacteristic, complemented
159#1969C2211yescharacteristic, complemented
160#1959C2211yescharacteristic, complemented
161#1957C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C23×Q8C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—21no—
225C24×C4C2311yescharacteristic
226C2×#137—24no—
227C2×#137—42no—
228C2×#137—42no—
229C2×#137—42no—
230C2×#137—42no—
231C2×#137D418yescomplemented
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×SD16—24no—
239C22×SD16—42no—
240C22×SD16—42no—
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253D4×Q8—24no—
254D4×Q8—42no—
255#546—24no—
256#546—42no—
257#546—42no—
258#546—42no—
259D42—42no—
260D42—42no—
261C2×C4⋊Q8—21no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#123—21no—
267C2×#123—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8—24no—
273C2×C22⋊Q8—42no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120D411yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×D4—21no—
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C22×C4⋊C4—21no—
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313#497—24no—
314#480—42no—
315#468—24no—
316#467—24no—
317#464—24no—
318#464—42no—
319#461—24no—
320#460—42no—
321#452—24no—
322#452—24no—
323#452—24no—
324#452—24no—
325#452—24no—
326#452—42no—
327#452—42no—
328#452—42no—
329#451—24no—
330#451—24no—
331#451—24no—
332#451—42no—
333#451—42no—
334#450—24no—
335#450—24no—
336#450—24no—
337#450—42no—
338#448—24no—
339#448—42no—
340#440—24no—
341#440—42no—
342C4×SD16—42no—
343#435—24no—
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352#417—24no—
353#417—24no—
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388#407—24no—
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405#400—21no—
406#399—21no—
407#399—21no—
408#399—21no—
409#398—21no—
410#398—21no—
411#398—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#395—21no—
423#395—21no—
424#394—21no—
425#394—21no—
426#393—21no—
427#393—21no—
428#393—21no—
429#393—21no—
430#393—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#391—21no—
438#391—21no—
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390—21no—
448#390—21no—
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#389—21no—
452#389—21no—
453#389—21no—
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#387—21no—
462#387—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386D411yescharacteristic
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385D411yescharacteristic
499#385D411yescharacteristic
500#385D411yescharacteristic
501#384C2311yescharacteristic
502#384C2311yescharacteristic
503#381—21no—
504#381—21no—
505#380—21no—
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#379—21no—
515#379—21no—
516#379D411yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C2×#95—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—44no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—44no—
567C2×#41—44no—
568C2×#41—44no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—416no—
572C2×#41—416no—
573C2×#41—416no—
574C2×#41—416no—
575C2×#41C2×D414yes—
576C22×Q8—21no—
577C22×Q8—21no—
578C22×Q8—21no—
579C22×Q8—22no—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8C2×D414yescomplemented
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—82no—
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—41no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—44no—
656C23×C4—44no—
657C23×C4—44no—
658C23×C4C2×D411yescharacteristic
659C23×C4C2×D411yescharacteristic
660C23×C4C2×D411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665#137—416no—
666#137—416no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×Q16—41no—
680C2×Q16—41no—
681C2×Q16—41no—
682C2×Q16—41no—
683C2×Q16C2×D414yescomplemented
684C2×Q16C2×D414yescomplemented
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—416no—
711C2×SD16C2×D414yes—
712C2×SD16C2×D414yes—
713C2×M16—22no—
714C2×M16—41no—
715C2×M16—41no—
716C2×M16—41no—
717C2×M16—41no—
718C2×M16C2×D414yescomplemented
719C22×C8—22no—
720C22×C8—41no—
721C22×C8—41no—
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C4⋊Q8—22no—
731C4⋊Q8—41no—
732C4⋊Q8—44no—
733#127—22no—
734#127—41no—
735#124—22no—
736#124—22no—
737#124—41no—
738#124—41no—
739#123—44no—
740#123—44no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—44no—
751C22⋊Q8—44no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—44no—
760C22⋊Q8—44no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—44no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—44no—
775#121—44no—
776#120—24no—
777#120—44no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—82no—
782C4×Q8—22no—
783C4×Q8—41no—
784C4×Q8—41no—
785C4×Q8—41no—
786C4×Q8—41no—
787C4×Q8—41no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—44no—
801C2×C4⋊C4—22no—
802C2×C4⋊C4—22no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—44no—
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4—44no—
873C2×C22⋊C4—82no—
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C42—21no—
887C2×C42—21no—
888C2×C42—21no—
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892#107—22no—
893#107—41no—
894#107—41no—
895#107—41no—
896#106—41no—
897C4⋊C8—22no—
898C4⋊C8—41no—
899C4⋊C8—41no—
900#103—22no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—22no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—41no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947#97—22no—
948#97—41no—
949C4×C8—41no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982C24—21no—
983C24—24no—
984C24—21no—
985C24—22no—
986C24—22no—
987C24—21no—
988C24—41no—
989C24—41no—
990C24—41no—
991C24—41no—
992C24—41no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010#41—28no—
1011#41—28no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—432no—
1025#41—432no—
1026#41—44no—
1027#41—44no—
1028C2×Q8—24no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—44no—
1066C2×Q8—81no—
1067C2×Q8—81no—
1068C2×Q8—81no—
1069C2×Q8—81no—
1070C2×Q8—82no—
1071C2×Q8—82no—
1072C2×Q8—82no—
1073C2×Q8—82no—
1074C2×Q8—82no—
1075C2×Q8C22×D412yes—
1076C2×Q8C22×D412yes—
1077C2×Q8C22×D412yes—
1078C2×Q8H(5,𝔽2)12yes—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—22no—
1082C2×D4—24no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—432no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—816no—
1147C2×D4#13714yescomplemented
1148C2×D4C22×D412yes—
1149C2×D4H(5,𝔽2)12yes—
1150C2×D4H(5,𝔽2)12yes—
1151C2×D4H(5,𝔽2)12yes—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—24no—
1157C22×C4—22no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—432no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D412yes—
1244C22×C4C22×D411yescharacteristic
1245C22×C4H(5,𝔽2)12yes—
1246C22×C4C2511yescharacteristic
1247Q16—44no—
1248Q16—44no—
1249Q16—44no—
1250Q16—44no—
1251Q16—82no—
1252Q16—82no—
1253SD16—28no—
1254SD16—28no—
1255SD16—44no—
1256SD16—44no—
1257SD16—44no—
1258SD16—44no—
1259SD16—44no—
1260SD16—82no—
1261SD16—82no—
1262M16—44no—
1263M16—44no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—44no—
1287C2×C8C22×D412yes—
1288C2×C8C22×D412yes—
1289C4⋊C4—22no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4—81no—
1325C4⋊C4—81no—
1326C4⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—21no—
1380C42—21no—
1381C42—42no—
1382C42—81no—
1383C42—81no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—44no—
1414C23—44no—
1415C23—48no—
1416C23—48no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—82no—
1445C23—82no—
1446C23—84no—
1447C23—84no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23D4212yes—
1452C23C2×#13712yes—
1453C23C2×#13712yes—
1454C23C23×D411yescharacteristic
1455Q8—22no—
1456Q8—22no—
1457Q8—22no—
1458Q8—22no—
1459Q8—22no—
1460Q8—22no—
1461Q8—22no—
1462Q8—22no—
1463Q8—48no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—84no—
1477Q8—84no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—44no—
1484D4—44no—
1485D4—48no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—84no—
1497D4—82no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—162no—
1502D4—162no—
1503D4—162no—
1504D4#53414yes—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—48no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—48no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—162no—
1601C2×C4—162no—
1602C2×C4D4212yes—
1603C2×C4C2×#13712yes—
1604C2×C4C23×D411yescharacteristic
1605C2×C4C2×H(5,𝔽2)11yescharacteristic
1606C2×C4C2×H(5,𝔽2)11yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4C2×H(5,𝔽2)11yescharacteristic
1609C2×C4C2×H(5,𝔽2)11yescharacteristic
1610C8—22no—
1611C8—22no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C8—41no—
1618C22—22no—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—88no—
1657C22—816no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—168no—
1670C22C2×D4211yescharacteristic
1671C22#348411yescharacteristic
1672C22#348411yescharacteristic
1673C22C22×#13711yescharacteristic
1674C22#358411yescharacteristic
1675C22#358511yescharacteristic
1676C22#358611yescharacteristic
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4—81no—
1697C4—81no—
1698C4—81no—
1699C4—81no—
1700C4C2×#53411yescharacteristic
1701C4#348411yescharacteristic
1702C4#353211yescharacteristic
1703C4#353211yescharacteristic
1704C2—42no—
1705C2—42no—
1706C2—42no—
1707C2—44no—
1708C2—81no—
1709C2—82no—
1710C2—161no—
1711C2#3764411yescharacteristic
1712C2D4×#13711yescharacteristic
1713C2#6107711yescharacteristic
1714C2#6157011yescharacteristic
1715C2#6160711yescharacteristic
1716C2#6161311yescharacteristic
1717C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36212C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3266C2semidirect
2. C2×#3007C2semidirect
3. #39595C2semidirect
5. #32883C2semidirect
6. #31067C2semidirect
7. #31062C2semidirect
8. #31014C2semidirect
9. #30989C2semidirect
10. #30474C2semidirect
11. #30473C2semidirect
12. #30409C2semidirect
13. #30407C2semidirect
14. #29744C2semidirect
15. #29595C2semidirect
16. #28360C2semidirect
17. #28103C2semidirect
18. #25176C2semidirect
19. #25154C2semidirect
20. #24921C2semidirect
21. #24919C2semidirect
22. #24548C2semidirect
23. #24368C2semidirect
24. #24259C2semidirect
25. #24240C2semidirect
26. #24049C2semidirect
27. #23868C2semidirect
28. #23852C2semidirect
29. #23849C2semidirect
30. #22444C2semidirect
31. #22036C2semidirect
34. C22×#137C22semidirect
35. C23×SD16C22semidirect
36. C2×D4×Q8C22semidirect
40. C22×C22⋊Q8C22semidirect
42. C2×#497C22semidirect
43. C2×#480C22semidirect
44. C2×#468C22semidirect
45. C2×#467C22semidirect
46. C2×#464C22semidirect
47. C2×#464C22semidirect
48. C2×#460C22semidirect
49. C2×#461C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
59. C2×#451C22semidirect
60. C2×#451C22semidirect
61. C2×#451C22semidirect
62. C2×#451C22semidirect
63. C2×#451C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
69. C2×#450C22semidirect
70. C2×#440C22semidirect
71. C2×#440C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×#435C22semidirect
75. C2×#417C22semidirect
76. C2×#407C22semidirect
78. #2848C22semidirect
88. #2538C22semidirect
89. #2502C22semidirect
90. #2487C22semidirect
96. #2429C22semidirect
97. #2429C22semidirect
98. #2423C22semidirect
99. #2423C22semidirect
103. #2409C22semidirect
109. Q8×C22⋊C4C22semidirect
116. #2095C22semidirect
117. #2093C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2072C22semidirect
121. #2072C22semidirect
122. #2067C22semidirect
123. #2066C22semidirect
124. #2056C22semidirect
125. #2056C22semidirect
126. #2056C22semidirect
127. #2055C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2036C22semidirect
134. #2036C22semidirect
135. #2036C22semidirect
136. #2036C22semidirect
137. #2036C22semidirect
138. #2035C22semidirect
140. #2034C22semidirect
141. #2033C22semidirect
142. #2016C22semidirect
143. #2015C22semidirect
144. #2015C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2013C22semidirect
148. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1973C22semidirect
157. #1971C22semidirect
158. #1969C22semidirect
159. #1969C22semidirect
160. #1959C22semidirect
161. #1957C22semidirect
162. #1955C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
186. #1869C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1823C22semidirect
191. #1809C22semidirect
192. #1802C22semidirect
193. #1802C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1779C22semidirect
204. #1753C22semidirect
231. C2×#137D4semidirect
596. C22×Q8C2×D4semidirect
683. C2×Q16C2×D4semidirect
684. C2×Q16C2×D4semidirect
718. C2×M16C2×D4semidirect
1147. C2×D4#137semidirect

Maximal subgroups

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

subgroupindex
C2×#32662
C2×#30072
#395952
#362122
#328832
#310672
#310622
#310142
#309892
#304742
#304732
#304092
#304072
#297442
#295952
#283602
#281032
#251762
#251542
#249212
#249192
#245482
#243682
#242592
#242402
#240492
#238682
#238522
#238492
#224442
#220362