Finite Group Databasebeta

← #6683723

Subgroups — #6683723

Order 512.

2639 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3151C211yesmaximal, characteristic, complemented
3#37699C211yesmaximal, characteristic, complemented
4#37674C211yesmaximal, characteristic, complemented
5#33057C211yesmaximal, characteristic, complemented
6#30736C211yesmaximal, characteristic, complemented
7#30735C211yesmaximal, characteristic, complemented
8#30734C211yesmaximal, characteristic, complemented
9#30733C211yesmaximal, characteristic, complemented
10#30459C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#30274C211yesmaximal, characteristic, complemented
15#29816C211yesmaximal, characteristic, complemented
16#28627C211yesmaximal, characteristic, complemented
17#28452C211yesmaximal, characteristic, complemented
18#25855C211yesmaximal, characteristic, complemented
19#25736C211yesmaximal, characteristic, complemented
20#25723C211yesmaximal, characteristic, complemented
21#25614C211yesmaximal, characteristic, complemented
22#24373C211yesmaximal, characteristic, complemented
23#24372C211yesmaximal, characteristic, complemented
24#24371C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#22279C211yesmaximal, characteristic, complemented
31#21106C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#542C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40C2×#532C2211yescharacteristic, complemented
41C22×#127C2211yescharacteristic
42#3224—28no—
43#3151—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#493C2211yescharacteristic
51C2×#493C2211yescharacteristic, complemented
52C2×#492C2211yescharacteristic
53C2×#492C2211yescharacteristic, complemented
54C2×#489C2211yescharacteristic, complemented
55C2×#486C2211yescharacteristic
56C2×#486C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#463C2211yescharacteristic, complemented
63C2×#459C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#447C2211yescharacteristic, complemented
76C2×#447C2211yescharacteristic, complemented
77C2×#433C2211yescharacteristic, complemented
78C2×C4×M16C2211yescharacteristic, complemented
79#2857C2211yescharacteristic, complemented
80#2850C2211yescharacteristic
81#2703—21no—
82#2691—21no—
83#2681—21no—
84#2676—21no—
85#2673—21no—
86#2673—21no—
87#2669—21no—
88#2669—21no—
89#2657C2211yescharacteristic
90#2640C2211yescharacteristic, complemented
91#2620C2211yescharacteristic, complemented
92#2619C2211yescharacteristic
93#2544C2211yescharacteristic
94#2541C2211yescharacteristic
95#2466—21no—
96#2459—21no—
97#2450—21no—
98#2446C2211yescharacteristic, complemented
99#2445C2211yescharacteristic, complemented
100#2435C2211yescharacteristic
101#2433C2211yescharacteristic
102#2433C2211yescharacteristic
103#2431C2211yescharacteristic
104#2429C2211yescharacteristic, complemented
105#2428C2211yescharacteristic, complemented
106#2425—21no—
107#2410—21no—
108#2410—21no—
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic
111#2403—21no—
112#2403—21no—
113#2341C2211yescharacteristic, complemented
114#2339C2211yescharacteristic, complemented
115#2328C2211yescharacteristic
116#2326C2211yescharacteristic, complemented
117#2290C2211yescharacteristic
118#2055C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1993C2211yescharacteristic, complemented
159#1959C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1957C2211yescharacteristic
163#1957C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1916C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic
173#1895C2211yescharacteristic
174#1894C2211yescharacteristic, complemented
175#1894C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1870C2211yescharacteristic
194#1851C2211yescharacteristic, complemented
195#1851C2211yescharacteristic, complemented
196#1836C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1768C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C4×C22⋊C8C2211yescharacteristic, complemented
204#1746C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252#546—42no—
253#546—42no—
254D42—42no—
255D42—42no—
256#542—24no—
257#542—42no—
258#535—24no—
259#535—42no—
260#532—24no—
261#532—42no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#127—24no—
265C2×#127—21no—
266C2×#127—21no—
267C2×#127—42no—
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#126—21no—
277C2×#124—21no—
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8—21no—
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×#117C2311yescharacteristic
325C22×C22⋊C4—21no—
326C22×C42C2311yescharacteristic
327#496—24no—
328#496—24no—
329#496—24no—
330#496D418yescomplemented
331#495—24no—
332#495—42no—
333#493—24no—
334#493—24no—
335#492—24no—
336#492—24no—
337#489—24no—
338#486—24no—
339#486—42no—
340#464—24no—
341#464—42no—
342#463—24no—
343#463—42no—
344#460—24no—
345#460—42no—
346#459—24no—
347#459—42no—
348#452—24no—
349#452—42no—
350#452—42no—
351#452—42no—
352#450—24no—
353#450—42no—
354#449—24no—
355#449—42no—
356#449—42no—
357#449—42no—
358#447—24no—
359#447—42no—
360#433—24no—
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
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
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C4×M16—24no—
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#400—21no—
411#398—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—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#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#391—21no—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#390—21no—
457#390—21no—
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#389—21no—
468#389—21no—
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388D411yescharacteristic
477#388D411yescharacteristic
478#387—21no—
479#387—21no—
480#387D411yescharacteristic
481#387D411yescharacteristic
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#386—21no—
498#386D411yescharacteristic
499#386D411yescharacteristic
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385D411yescharacteristic
505#385D411yescharacteristic
506#384C2311yescharacteristic
507#382C2311yescharacteristic
508#381—21no—
509#380—21no—
510#380—21no—
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C22⋊C4—21no—
517C4×C22⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519#376C2311yescharacteristic
520C2×#95—21no—
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8—21no—
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
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—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—82no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4—82no—
618C22×D4C2×D411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4C2×D411yescharacteristic
634C23×C4C2×D411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637AGL(1,ℤ/8)—416no—
638AGL(1,ℤ/8)—416no—
639AGL(1,ℤ/8)—416no—
640AGL(1,ℤ/8)—416no—
641C2×Q16—22no—
642C2×Q16—41no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×Q16—41no—
646C2×Q16—41no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16C2×D414yes—
682C2×SD16C2×D414yescomplemented
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8C2×D414yes—
712C2×D8C2×D414yescomplemented
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C4⋊Q8—22no—
728C4⋊Q8—22no—
729C4⋊Q8—22no—
730C4⋊Q8—41no—
731#127—22no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#127—41no—
743#127—41no—
744#127—41no—
745#127—41no—
746#127—44no—
747#127—44no—
748#127C2×D414yes—
749#126—44no—
750#124—22no—
751#124—22no—
752#124—22no—
753#124—22no—
754#124—22no—
755#124—22no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124—44no—
762#124C2×D414yescomplemented
763#123—44no—
764#123—44no—
765#123—82no—
766C22⋊Q8—22no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—44no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—82no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—41no—
789#121—41no—
790#121—82no—
791#121—82no—
792#121—82no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—82no—
799#120—82no—
800#120—82no—
801#120—82no—
802C4×Q8—22no—
803C4×Q8—41no—
804C4×Q8—41no—
805C4×Q8—41no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—41no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—41no—
817C4×D4—41no—
818#117—22no—
819#117—22no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
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—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—44no—
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C42—22no—
897C2×C42—22no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42C2×D411yescharacteristic
901C2×C42C2×D411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907C4⋊C8—22no—
908C4⋊C8—22no—
909C4⋊C8—22no—
910C4⋊C8—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
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—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#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949#97—22no—
950#97C2×D414yescomplemented
951C4×C8—22no—
952C4×C8—22no—
953C4×C8—22no—
954C4×C8—22no—
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#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
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—42no—
1041C2×Q8—81no—
1042C2×Q8—81no—
1043C2×Q8C22×D412yes—
1044C2×D4—22no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
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—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
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—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
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—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—816no—
1173C2×D4—816no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—816no—
1182C2×D4C22×D412yes—
1183C2×D4C22×D412yes—
1184C2×D4C22×D412yes—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—21no—
1195C22×C4—21no—
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—41no—
1209C22×C4—41no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
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×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)12yes—
1244C22×C4H(5,𝔽2)12yes—
1245C22×C4C2511yescharacteristic
1246Q16—82no—
1247Q16—82no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—44no—
1254SD16—44no—
1255SD16—44no—
1256SD16—82no—
1257SD16—82no—
1258SD16—82no—
1259SD16—82no—
1260D8—44no—
1261D8—44no—
1262D8—44no—
1263D8—44no—
1264D8—44no—
1265D8—44no—
1266D8—44no—
1267D8—44no—
1268D8—82no—
1269D8—82no—
1270M16—28no—
1271M16—28no—
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—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8C22×D412yes—
1293C2×C8C22×D412yes—
1294C2×C8H(5,𝔽2)12yes—
1295C2×C8H(5,𝔽2)12yes—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
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—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4—81no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
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—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
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—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C42—22no—
1378C42—22no—
1379C42—21no—
1380C42—21no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—42no—
1388C42—81no—
1389C42C22×D412yes—
1390C42H(5,𝔽2)12yes—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
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—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—41no—
1452C23—41no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23#53512yes—
1475C23C23×D411yescharacteristic
1476Q8—22no—
1477Q8—22no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—162no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—44no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
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—41no—
1517D4—41no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
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—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—44no—
1582C2×C4—44no—
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—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—162no—
1618C2×C4—162no—
1619C2×C4—162no—
1620C2×C4#53512yes—
1621C2×C4D4212yes—
1622C2×C4D4212yes—
1623C2×C4#57612yes—
1624C2×C4#57712yes—
1625C2×C4C23×D411yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C8—22no—
1632C8—22no—
1633C8—22no—
1634C8—22no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
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—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—168no—
1703C22—168no—
1704C22—168no—
1705C22C2×#53511yescharacteristic
1706C22C2×D4211yescharacteristic
1707C22#349811yescharacteristic
1708C22C2×#57611yescharacteristic
1709C22C2×#57711yescharacteristic
1710C22#358511yescharacteristic
1711C22#358511yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4#348411yescharacteristic
1734C4#348411yescharacteristic
1735C4#354311yescharacteristic
1736C4#354311yescharacteristic
1737C2—42no—
1738C2—81no—
1739C2—82no—
1740C2—82no—
1741C2—82no—
1742C2—161no—
1743C2—161no—
1744C2—161no—
1745C2—161no—
1746C2#3767411yescharacteristic
1747C2#6080611yescharacteristic
1748C2#6082211yescharacteristic
1749C2#6107111yescharacteristic
1750C2#6107211yescharacteristic
1751C2#6246311yescharacteristic
1752C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ 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×#3151C2semidirect
3. #37699C2semidirect
4. #37674C2semidirect
5. #33057C2semidirect
6. #30736C2semidirect
7. #30735C2semidirect
8. #30734C2semidirect
9. #30733C2semidirect
10. #30459C2semidirect
11. #30456C2semidirect
12. #30447C2semidirect
13. #30444C2semidirect
14. #30274C2semidirect
15. #29816C2semidirect
16. #28627C2semidirect
17. #28452C2semidirect
18. #25855C2semidirect
19. #25736C2semidirect
20. #25723C2semidirect
21. #25614C2semidirect
22. #24373C2semidirect
23. #24372C2semidirect
24. #24371C2semidirect
25. #24370C2semidirect
26. #23863C2semidirect
27. #23863C2semidirect
28. #23860C2semidirect
29. #23860C2semidirect
30. #22279C2semidirect
31. #21106C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
38. C2×#542C22semidirect
40. C2×#532C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#495C22semidirect
51. C2×#493C22semidirect
53. C2×#492C22semidirect
54. C2×#489C22semidirect
56. C2×#486C22semidirect
57. C2×#464C22semidirect
58. C2×#464C22semidirect
59. C2×#460C22semidirect
60. C2×#460C22semidirect
61. C2×#463C22semidirect
62. C2×#463C22semidirect
63. C2×#459C22semidirect
64. C2×#459C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#450C22semidirect
74. C2×#450C22semidirect
75. C2×#447C22semidirect
76. C2×#447C22semidirect
77. C2×#433C22semidirect
78. C2×C4×M16C22semidirect
79. #2857C22semidirect
90. #2640C22semidirect
91. #2620C22semidirect
98. #2446C22semidirect
99. #2445C22semidirect
104. #2429C22semidirect
105. #2428C22semidirect
113. #2341C22semidirect
114. #2339C22semidirect
116. #2326C22semidirect
118. #2055C22semidirect
119. #2055C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2016C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1993C22semidirect
159. #1959C22semidirect
160. #1958C22semidirect
161. #1958C22semidirect
163. #1957C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1933C22semidirect
167. #1933C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1916C22semidirect
171. #1916C22semidirect
174. #1894C22semidirect
175. #1894C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
194. #1851C22semidirect
195. #1851C22semidirect
196. #1836C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1768C22semidirect
202. #1750C22semidirect
203. C4×C22⋊C8C22semidirect
204. #1746C22semidirect
330. #496D4semidirect
682. C2×SD16C2×D4semidirect
712. C2×D8C2×D4semidirect
762. #124C2×D4semidirect
950. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#31512
#376992
#376742
#330572
#307362
#307352
#307342
#307332
#304592
#304562
#304472
#304442
#302742
#298162
#286272
#284522
#258552
#257362
#257232
#256142
#243732
#243722
#243712
#243702
#238632
#238602
#222792
#211062