Finite Group Databasebeta

← #6668718

Subgroups — #6668718

Order 512.

2888 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3007C211yesmaximal, characteristic, complemented
3#37665C211yesmaximal, characteristic, complemented
4#35250C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31014C211yesmaximal, characteristic, complemented
7#30988C211yesmaximal, characteristic, complemented
8#30546C211yesmaximal, characteristic, complemented
9#30527C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30457C211yesmaximal, characteristic, complemented
13#30445C211yesmaximal, characteristic, complemented
14#29729C211yesmaximal, characteristic, complemented
15#29632C211yesmaximal, characteristic, complemented
16#27282C211yesmaximal, characteristic, complemented
17#27270C211yesmaximal, characteristic, complemented
18#25797C211yesmaximal, characteristic, complemented
19#25797C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25106C211yesmaximal, characteristic, complemented
22#25092C211yesmaximal, characteristic, complemented
23#24517C211yesmaximal, characteristic, complemented
24#24384C211yesmaximal, characteristic, complemented
25#24368C211yesmaximal, characteristic, complemented
26#24368C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23947C211yesmaximal, characteristic, complemented
29#23919C211yesmaximal, characteristic, complemented
30#22559C211yesmaximal, characteristic, complemented
31#22059C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×#137C2211yescharacteristic, complemented
35C2×#542C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#121C2211yescharacteristic
40#3224—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#496C2211yescharacteristic, complemented
43C2×#495C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#464C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#459C2211yescharacteristic, complemented
55#3007—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#451C2211yescharacteristic, complemented
65C2×#451C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#433C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic, complemented
77C2×#417C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic
79#2847—21no—
80#2847—21no—
81#2847C2211yescharacteristic
82#2702—21no—
83#2700—21no—
84#2692—21no—
85#2687—21no—
86#2625C2211yescharacteristic, complemented
87#2620C2211yescharacteristic, complemented
88#2615—21no—
89#2615—21no—
90#2492C2211yescharacteristic, complemented
91#2481—21no—
92#2472—21no—
93#2440C2211yescharacteristic, complemented
94#2436C2211yescharacteristic
95#2436C2211yescharacteristic
96#2436C2211yescharacteristic, complemented
97#2433C2211yescharacteristic
98#2433C2211yescharacteristic
99#2431C2211yescharacteristic
100#2431C2211yescharacteristic
101#2431C2211yescharacteristic
102#2431C2211yescharacteristic
103#2427C2211yescharacteristic, complemented
104#2426C2211yescharacteristic, complemented
105#2423C2211yescharacteristic, complemented
106#2418—21no—
107#2417—21no—
108#2404—21no—
109#2404—21no—
110#2403—21no—
111#2403—21no—
112#2361C2211yescharacteristic, complemented
113Q8×C22⋊C4C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2311C2211yescharacteristic
116#2311C2211yescharacteristic
117#2280C2211yescharacteristic
118#2072C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1971C2211yescharacteristic, complemented
161#1971C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1933C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1818C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, 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×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—24no—
227C2×#137—42no—
228C2×#137—42no—
229C2×#137—42no—
230C2×#137—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×Q16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251#542—24no—
252#542—42no—
253#535—24no—
254#535—42no—
255#535—42no—
256#535—42no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#126—21no—
263C2×#124—21no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—24no—
276C2×C22⋊Q8—42no—
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—42no—
288C2×#121—42no—
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×D4—21no—
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C22×C4⋊C4—21no—
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316#496—24no—
317#496—42no—
318#495—24no—
319#495—42no—
320#489—24no—
321#486—24no—
322#469—42no—
323#469—42no—
324#464—24no—
325#464—42no—
326#463—24no—
327#460—24no—
328#460—42no—
329#459—24no—
330#452—24no—
331#452—24no—
332#452—24no—
333#452D418yescomplemented
334#451—24no—
335#451—24no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#449—24no—
341#449—42no—
342#449—42no—
343#449—42no—
344#448—42no—
345#448—42no—
346#448—42no—
347#447—24no—
348#447—42no—
349#433—24no—
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#417—24no—
357#417—24no—
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×#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×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394#407—24no—
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#400—21no—
410#400—21no—
411#399—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#393—21no—
427#393—21no—
428#393—21no—
429#393—21no—
430#393—21no—
431#393—21no—
432#393—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#391—21no—
446#391—21no—
447#391—21no—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#390—21no—
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#389—21no—
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#387—21no—
473#387—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#385—21no—
498#385—21no—
499#384C2311yescharacteristic
500#381D411yescharacteristic
501#381D411yescharacteristic
502#380—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380—21no—
507#380—21no—
508#380D411yescharacteristic
509#380D411yescharacteristic
510#380D411yescharacteristic
511#380D411yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#380C2311yescharacteristic
515#379D411yescharacteristic
516#379D411yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
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—22no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—22no—
609C22×D4—21no—
610C22×D4—21no—
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—22no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—82no—
633C22×D4—82no—
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4—44no—
655C23×C4—44no—
656C23×C4—44no—
657C23×C4C2×D411yescharacteristic
658C23×C4C2×D411yescharacteristic
659C23×C4C2×D411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663#137—416no—
664#137—416no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16C2×D414yescomplemented
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16C2×D414yescomplemented
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—22no—
723C2×M16—41no—
724C2×M16—41no—
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C4⋊Q8—22no—
734C4⋊Q8—41no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—22no—
739#127—41no—
740#127—41no—
741#127—41no—
742#127—41no—
743#126—44no—
744#124—22no—
745#124—22no—
746#124—22no—
747#124—22no—
748#124—22no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—44no—
757#123—44no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—44no—
764C22⋊Q8—44no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—44no—
768C22⋊Q8—82no—
769C22⋊Q8C2×D414yes—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—44no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—41no—
789#121—41no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—82no—
795#120—82no—
796#120—82no—
797#120—82no—
798#120—82no—
799C4×Q8—22no—
800C4×Q8—41no—
801C4×Q8—41no—
802C4×Q8—41no—
803C4×D4—22no—
804C4×D4—41no—
805C4×D4—82no—
806#117—22no—
807#117—22no—
808#117—41no—
809#117—41no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—22no—
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—41no—
826C2×C4⋊C4—41no—
827C2×C4⋊C4—41no—
828C2×C4⋊C4—44no—
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
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—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—44no—
878C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C42—21no—
892C2×C42—21no—
893C2×C42—21no—
894C2×C42C2411yescharacteristic
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898#106—41no—
899#106—41no—
900C4⋊C8—22no—
901C4⋊C8—22no—
902C4⋊C8—41no—
903C4⋊C8—41no—
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#103C2×D414yescomplemented
918#102—22no—
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—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102C2×D414yescomplemented
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8C2×D414yes—
950#97—22no—
951#97—41no—
952C4×C8—22no—
953C4×C8—41no—
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#95—21no—
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985C24—21no—
986C24—21no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24C22×D411yescharacteristic
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014#41—28no—
1015#41—28no—
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—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—432no—
1031#41—432no—
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—42no—
1054C2×Q8—42no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—44no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×Q8—81no—
1066C2×Q8—81no—
1067C2×Q8—81no—
1068C2×Q8—82no—
1069C2×Q8—82no—
1070C2×Q8C22×D412yes—
1071C2×Q8C22×D412yes—
1072C2×Q8H(5,𝔽2)12yes—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
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—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—432no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—816no—
1174C2×D4C22×D412yes—
1175C2×D4H(5,𝔽2)12yes—
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—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—432no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D412yes—
1254C22×C4H(5,𝔽2)12yes—
1255C22×C4H(5,𝔽2)12yes—
1256C22×C4H(5,𝔽2)12yes—
1257C22×C4C2511yescharacteristic
1258Q16—44no—
1259Q16—44no—
1260Q16—44no—
1261Q16—44no—
1262SD16—44no—
1263SD16—44no—
1264SD16—44no—
1265SD16—44no—
1266SD16—82no—
1267SD16—82no—
1268SD16—82no—
1269SD16—82no—
1270SD16—82no—
1271SD16—82no—
1272D8—82no—
1273D8—82no—
1274D8—82no—
1275D8—82no—
1276M16—44no—
1277M16—44no—
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—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8C22×D412yes—
1301C2×C8C22×D412yes—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4—81no—
1332C4⋊C4—81no—
1333C4⋊C4C22×D412yes—
1334C22⋊C4—24no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
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—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—42no—
1392C42—81no—
1393C42—81no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—48no—
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—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—82no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23#53512yes—
1469C23D4212yes—
1470C23#57712yes—
1471C23C23×D411yescharacteristic
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—22no—
1476Q8—22no—
1477Q8—22no—
1478Q8—48no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—84no—
1490Q8—162no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—48no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—48no—
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—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—162no—
1620C2×C4#53512yes—
1621C2×C4D4212yes—
1622C2×C4C23×D411yescharacteristic
1623C2×C4C2×H(5,𝔽2)11yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C8—22no—
1629C8—22no—
1630C8—41no—
1631C8—41no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—88no—
1664C22—816no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—168no—
1695C22C2×#53511yescharacteristic
1696C22C2×D4211yescharacteristic
1697C22#348411yescharacteristic
1698C22C2×#57711yescharacteristic
1699C22#358511yescharacteristic
1700C22#358511yescharacteristic
1701C22#358611yescharacteristic
1702C4—22no—
1703C4—22no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4—81no—
1724C4#348411yescharacteristic
1725C4#348411yescharacteristic
1726C4#353211yescharacteristic
1727C4#353211yescharacteristic
1728C2—42no—
1729C2—42no—
1730C2—42no—
1731C2—82no—
1732C2—82no—
1733C2—161no—
1734C2—161no—
1735C2—161no—
1736C2#3764511yescharacteristic
1737C2#6081011yescharacteristic
1738C2#6081211yescharacteristic
1739C2#6106311yescharacteristic
1740C2#6107511yescharacteristic
1741C2#6162311yescharacteristic
1742C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3224C2semidirect
2. C2×#3007C2semidirect
3. #37665C2semidirect
4. #35250C2semidirect
5. #32880C2semidirect
6. #31014C2semidirect
7. #30988C2semidirect
8. #30546C2semidirect
9. #30527C2semidirect
10. #30472C2semidirect
11. #30460C2semidirect
12. #30457C2semidirect
13. #30445C2semidirect
14. #29729C2semidirect
15. #29632C2semidirect
16. #27282C2semidirect
17. #27270C2semidirect
18. #25797C2semidirect
19. #25797C2semidirect
20. #25736C2semidirect
21. #25106C2semidirect
22. #25092C2semidirect
23. #24517C2semidirect
24. #24384C2semidirect
25. #24368C2semidirect
26. #24368C2semidirect
27. #24220C2semidirect
28. #23947C2semidirect
29. #23919C2semidirect
30. #22559C2semidirect
31. #22059C2semidirect
33. C22×#137C22semidirect
34. C22×#137C22semidirect
35. C2×#542C22semidirect
41. C2×#496C22semidirect
42. C2×#496C22semidirect
43. C2×#495C22semidirect
44. C2×#495C22semidirect
45. C2×#489C22semidirect
46. C2×#486C22semidirect
47. C2×#469C22semidirect
48. C2×#469C22semidirect
49. C2×#464C22semidirect
50. C2×#464C22semidirect
51. C2×#460C22semidirect
52. C2×#460C22semidirect
53. C2×#463C22semidirect
54. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#451C22semidirect
65. C2×#451C22semidirect
66. C2×#448C22semidirect
67. C2×#448C22semidirect
68. C2×#448C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#433C22semidirect
76. C2×#417C22semidirect
77. C2×#417C22semidirect
86. #2625C22semidirect
87. #2620C22semidirect
90. #2492C22semidirect
93. #2440C22semidirect
96. #2436C22semidirect
103. #2427C22semidirect
104. #2426C22semidirect
105. #2423C22semidirect
112. #2361C22semidirect
113. Q8×C22⋊C4C22semidirect
114. #2323C22semidirect
118. #2072C22semidirect
119. #2071C22semidirect
120. #2066C22semidirect
121. #2065C22semidirect
122. #2056C22semidirect
123. #2056C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2014C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2011C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1971C22semidirect
161. #1971C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1933C22semidirect
169. #1933C22semidirect
170. #1927C22semidirect
171. #1926C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1895C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1853C22semidirect
190. #1851C22semidirect
191. #1851C22semidirect
192. #1818C22semidirect
193. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1750C22semidirect
333. #452D4semidirect
676. C2×Q16C2×D4semidirect
706. C2×SD16C2×D4semidirect
917. #103C2×D4semidirect
939. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#30072
#376652
#352502
#328802
#310142
#309882
#305462
#305272
#304722
#304602
#304572
#304452
#297292
#296322
#272822
#272702
#257972
#257362
#251062
#250922
#245172
#243842
#243682
#242202
#239472
#239192
#225592
#220592