Finite Group Databasebeta

← #6573740

Subgroups — #6573740

Order 512.

4636 conjugacy classes of subgroups.

The subgroup lattice has 1949 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#577C211yesmaximal, characteristic, complemented
2C2×#3276C211yesmaximal, characteristic, complemented
3C2×#3275C211yesmaximal, characteristic, complemented
4C2×#3266C211yesmaximal, characteristic, complemented
5#35750C211yesmaximal, characteristic, complemented
6#35687C211yesmaximal, characteristic, complemented
7#32940C211yesmaximal, characteristic, complemented
8#32887C211yesmaximal, characteristic, complemented
9#32886C211yesmaximal, characteristic, complemented
10#25796C211yesmaximal, characteristic, complemented
11#25795C211yesmaximal, characteristic, complemented
12#25778C211yesmaximal, characteristic, complemented
13#24369C211yesmaximal, characteristic, complemented
14#24367C211yesmaximal, characteristic, complemented
15#24365C211yesmaximal, characteristic, complemented
16#24363C211yesmaximal, characteristic, complemented
17#24358C211yesmaximal, characteristic, complemented
18#24357C211yesmaximal, characteristic, complemented
19#24277C211yesmaximal, characteristic, complemented
20#24276C211yesmaximal, characteristic, complemented
21#24271C211yesmaximal, characteristic, complemented
22#23868C211yesmaximal, characteristic, complemented
23#23863C211yesmaximal, characteristic, complemented
24#23855C211yesmaximal, characteristic, complemented
25#23854C211yesmaximal, characteristic, complemented
26#23853C211yesmaximal, characteristic, complemented
27#23852C211yesmaximal, characteristic, complemented
28C22⋊C4×SD16C211yesmaximal, characteristic, complemented
29#22444C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#21445C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C22×H(5,𝔽2)C2211yescharacteristic
34C2×#577—28no—
35C2×#577—28no—
36C2×#577—28no—
37C22×#137C2211yescharacteristic
38C22×#137C2211yescharacteristic
39C22×#137C2211yescharacteristic
40C22×#137C2211yescharacteristic, complemented
41C22×AGL(1,ℤ/8)C2211yescharacteristic
42C22×AGL(1,ℤ/8)C2211yescharacteristic
43C22×AGL(1,ℤ/8)C2211yescharacteristic
44C22×#135C2211yescharacteristic
45C22×#135C2211yescharacteristic
46C22×#135C2211yescharacteristic
47C23×SD16C2211yescharacteristic
48C23×SD16C2211yescharacteristic
49C23×SD16C2211yescharacteristic
50C22×#131C2211yescharacteristic
51C2×D4×Q8C2211yescharacteristic, complemented
52C2×D4×Q8C2211yescharacteristic, complemented
53C2×#548C2211yescharacteristic, complemented
54C2×#547C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2211yescharacteristic
57#3276—28no—
58#3275—28no—
59#3266—28no—
60C2×#497C2211yescharacteristic, complemented
61C2×#495C2211yescharacteristic, complemented
62C2×#494C2211yescharacteristic, complemented
63C2×#470C2211yescharacteristic, complemented
64C2×#470C2211yescharacteristic, complemented
65C2×#470C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic, complemented
67C2×#468C2211yescharacteristic, complemented
68C2×#467C2211yescharacteristic, complemented
69C2×#464C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#462C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#461C2211yescharacteristic, complemented
74C2×#461C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic
76C2×#452C2211yescharacteristic
77C2×#452C2211yescharacteristic
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#452C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#451C2211yescharacteristic, complemented
85C2×#451C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic, complemented
87C2×#451C2211yescharacteristic, complemented
88C2×#448C2211yescharacteristic, complemented
89C2×#448C2211yescharacteristic, complemented
90C2×#450C2211yescharacteristic
91C2×#450C2211yescharacteristic
92C2×#450C2211yescharacteristic
93C2×#440C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
95C2×C4×SD16C2211yescharacteristic, complemented
96C2×#436C2211yescharacteristic, complemented
97C2×#436C2211yescharacteristic, complemented
98C2×#435C2211yescharacteristic, complemented
99#2616—21no—
100#2616C2211yescharacteristic
101#2616C2211yescharacteristic
102#2613—21no—
103#2435C2211yescharacteristic
104#2434—21no—
105#2434C2211yescharacteristic, complemented
106#2432—21no—
107#2432—21no—
108#2432C2211yescharacteristic
109#2432C2211yescharacteristic
110#2432C2211yescharacteristic, complemented
111#2432C2211yescharacteristic, complemented
112#2430—21no—
113#2410—21no—
114#2410—21no—
115#2409—21no—
116#2409C2211yescharacteristic, complemented
117#2408C2211yescharacteristic
118#2407—21no—
119#2407—21no—
120#2407C2211yescharacteristic
121#2407C2211yescharacteristic
122#2407C2211yescharacteristic, complemented
123#2407C2211yescharacteristic, complemented
124#2406—21no—
125#2405—21no—
126#2405—21no—
127#2388—21no—
128#2388C2211yescharacteristic
129C2×#394—21no—
130#2341C2211yescharacteristic, complemented
131Q8×C22⋊C4C2211yescharacteristic, complemented
132Q8×C22⋊C4C2211yescharacteristic, complemented
133#2339C2211yescharacteristic
134D4×C22⋊C4C2211yescharacteristic
135D4×C22⋊C4C2211yescharacteristic
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2055C2211yescharacteristic, complemented
141#2054C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2015C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2013C2211yescharacteristic, complemented
149#2013C2211yescharacteristic, complemented
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2001C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1971C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1969C2211yescharacteristic, complemented
164#1968C2211yescharacteristic, complemented
165#1968C2211yescharacteristic, complemented
166#1894C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1892C2211yescharacteristic, complemented
169#1892C2211yescharacteristic, complemented
170#1892C2211yescharacteristic, complemented
171#1892C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1807C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1786C2211yescharacteristic
204#1786C2211yescharacteristic
205#1780C2211yescharacteristic
206#1753C2211yescharacteristic, complemented
207#1753C2211yescharacteristic, complemented
208C8×C22⋊C4C2211yescharacteristic, complemented
209C2×2−1+4—24no—
210C2×2−1+4—24no—
211C2×2−1+4—24no—
212C2×2−1+4—42no—
213C2×2−1+4—42no—
214C2×2−1+4—42no—
215C2×H(5,𝔽2)—24no—
216C2×H(5,𝔽2)—24no—
217C2×H(5,𝔽2)—24no—
218C2×H(5,𝔽2)—42no—
219C2×H(5,𝔽2)—42no—
220C2×H(5,𝔽2)—42no—
221C22×#41—21no—
222C22×#41—21no—
223C22×#41—21no—
224C22×#41—21no—
225C22×#41C2311yescharacteristic
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2311yescharacteristic
229C22×#41C2311yescharacteristic
230C22×#41C2311yescharacteristic
231C22×#41C2311yescharacteristic
232C22×#41C2311yescharacteristic
233C23×Q8—21no—
234C23×Q8C2311yescharacteristic
235C23×Q8C2311yescharacteristic
236C23×Q8C2311yescharacteristic
237C23×Q8C2311yescharacteristic
238C23×D4—21no—
239C23×D4—21no—
240C23×D4—21no—
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244#577—2128no—
245C2×#137—24no—
246C2×#137—24no—
247C2×#137—24no—
248C2×#137—24no—
249C2×#137—24no—
250C2×#137—24no—
251C2×#137—24no—
252C2×#137—24no—
253C2×#137—24no—
254C2×#137—24no—
255C2×#137—24no—
256C2×#137D418yescomplemented
257C2×AGL(1,ℤ/8)—24no—
258C2×AGL(1,ℤ/8)—24no—
259C2×AGL(1,ℤ/8)—24no—
260C2×AGL(1,ℤ/8)—24no—
261C2×AGL(1,ℤ/8)—24no—
262C2×AGL(1,ℤ/8)—24no—
263C2×AGL(1,ℤ/8)—24no—
264C2×AGL(1,ℤ/8)—24no—
265C2×AGL(1,ℤ/8)D418yescomplemented
266C2×#135—24no—
267C2×#135—24no—
268C2×#135—24no—
269C2×#135—24no—
270C2×#135—24no—
271C2×#135—24no—
272C2×#135—24no—
273C2×#135—24no—
274C2×#135—24no—
275C22×Q16C2311yescharacteristic
276C22×Q16C2311yescharacteristic
277C22×Q16C2311yescharacteristic
278C22×Q16C2311yescharacteristic
279C22×Q16C2311yescharacteristic
280C22×Q16C2311yescharacteristic
281C22×Q16C2311yescharacteristic
282C22×Q16C2311yescharacteristic
283C22×SD16—24no—
284C22×SD16—24no—
285C22×SD16—24no—
286C22×SD16—24no—
287C22×SD16—24no—
288C22×SD16—24no—
289C22×SD16—24no—
290C22×SD16—24no—
291C22×SD16D418yescomplemented
292C22×SD16C2311yescharacteristic
293C22×SD16C2311yescharacteristic
294C22×SD16C2311yescharacteristic
295C22×SD16C2311yescharacteristic
296C22×SD16C2311yescharacteristic
297C22×SD16C2311yescharacteristic
298C22×SD16C2311yescharacteristic
299C22×SD16C2311yescharacteristic
300C22×SD16C2311yescharacteristic
301C22×SD16C2311yescharacteristic
302C22×SD16C2311yescharacteristic
303C22×SD16C2311yescharacteristic
304C22×SD16C2311yescharacteristic
305C22×SD16C2311yescharacteristic
306C22×D8C2311yescharacteristic
307C22×D8C2311yescharacteristic
308C22×D8C2311yescharacteristic
309C2×#131—24no—
310C2×#131—24no—
311C2×#131—24no—
312C22×M16C2311yescharacteristic
313C22×M16C2311yescharacteristic
314C22×M16C2311yescharacteristic
315C22×M16C2311yescharacteristic
316C23×C8C2311yescharacteristic
317C23×C8C2311yescharacteristic
318C23×C8C2311yescharacteristic
319D4×Q8—24no—
320D4×Q8—24no—
321D4×Q8—42no—
322D4×Q8—42no—
323#548—24no—
324#548—42no—
325#547—24no—
326#547—42no—
327#546—24no—
328#546—24no—
329#546—42no—
330#546—42no—
331C2×C4⋊Q8—21no—
332C2×C4⋊Q8—21no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×#124—21no—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#123—21no—
341C2×#123—21no—
342C2×#123—21no—
343C2×#123—21no—
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8—21no—
346C2×C22⋊Q8—21no—
347C2×C22⋊Q8—21no—
348C2×C22⋊Q8—21no—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—21no—
361C2×#121—21no—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4—21no—
372C2×C4×D4—21no—
373C2×C4×D4—21no—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C22×C4⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C22⋊C4—21no—
383C22×C22⋊C4—21no—
384C22×C22⋊C4—21no—
385#497—24no—
386#495—24no—
387#494—24no—
388#470—24no—
389#470—24no—
390#470—24no—
391#469—24no—
392#468—24no—
393#467—24no—
394#464—24no—
395#464—24no—
396#463—24no—
397#462—24no—
398#461—24no—
399#461—24no—
400#452—24no—
401#452—24no—
402#452—24no—
403#452—24no—
404#452—42no—
405#452—42no—
406#452—42no—
407#452—42no—
408#451—24no—
409#451—24no—
410#451—24no—
411#451—42no—
412#450—24no—
413#450—24no—
414#450—42no—
415#449—24no—
416#448—24no—
417#448—24no—
418#440—24no—
419C4×SD16—24no—
420C4×SD16—24no—
421#436—24no—
422#436—24no—
423#435—24no—
424C2×#107C2311yescharacteristic
425C2×#106C2311yescharacteristic
426C2×#106C2311yescharacteristic
427C2×C4⋊C8C2311yescharacteristic
428C2×C4⋊C8C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×#97C2311yescharacteristic
470C2×C4×C8C2311yescharacteristic
471C2×C4×C8C2311yescharacteristic
472#395—21no—
473#395—21no—
474#395—21no—
475#395—21no—
476#395—21no—
477#395D411yescharacteristic
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394D411yescharacteristic
500#394D411yescharacteristic
501#394D411yescharacteristic
502#393—21no—
503#393D411yescharacteristic
504#392—21no—
505#392—21no—
506#392—21no—
507#392—21no—
508#392—21no—
509#392D411yescharacteristic
510#392D411yescharacteristic
511#392D411yescharacteristic
512#391—21no—
513#391—21no—
514#391—21no—
515#391—21no—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#390—21no—
523#390—21no—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#386—21no—
531#386—21no—
532#386—21no—
533#386—21no—
534#386—21no—
535#386—21no—
536#386—21no—
537#386—21no—
538#386—21no—
539#386—21no—
540#386—21no—
541#385—21no—
542#385—21no—
543#385—21no—
544#385—21no—
545#385—21no—
546#385—21no—
547#385—21no—
548#385—21no—
549#385—21no—
550#385—21no—
551#385—21no—
552#385—21no—
553#385—21no—
554#385—21no—
555#385—21no—
556#381—21no—
557#380—21no—
558#380—21no—
559#380—21no—
560#380C2311yescharacteristic
561#380C2311yescharacteristic
562#380C2311yescharacteristic
563#380C2311yescharacteristic
564#380C2311yescharacteristic
565#380C2311yescharacteristic
566#379—21no—
567#379—21no—
568#379—21no—
569#379—21no—
570#379—21no—
571C4×C22⋊C4—21no—
572C4×C22⋊C4—21no—
573C4×C22⋊C4—21no—
574C4×C22⋊C4C2311yescharacteristic
575C4×C22⋊C4C2311yescharacteristic
576C4×C22⋊C4C2311yescharacteristic
577C2×#95—21no—
578#340C2311yescharacteristic
579#340C2311yescharacteristic
580#340C2311yescharacteristic
581#340C2311yescharacteristic
582#340C2311yescharacteristic
583#340C2311yescharacteristic
584#336C2311yescharacteristic
585#336C2311yescharacteristic
586#336C2311yescharacteristic
587#336C2311yescharacteristic
588#336C2311yescharacteristic
589#336C2311yescharacteristic
590C25—21no—
591C25—21no—
592C25—21no—
5932−1+4—232no—
5942−1+4—416no—
5952−1+4—416no—
5962−1+4—416no—
597H(5,𝔽2)—232no—
598H(5,𝔽2)—416no—
599H(5,𝔽2)—416no—
600H(5,𝔽2)—416no—
601C2×#41—22no—
602C2×#41—22no—
603C2×#41—22no—
604C2×#41—22no—
605C2×#41—22no—
606C2×#41—22no—
607C2×#41—22no—
608C2×#41—22no—
609C2×#41—22no—
610C2×#41—22no—
611C2×#41—22no—
612C2×#41—22no—
613C2×#41—22no—
614C2×#41—22no—
615C2×#41—22no—
616C2×#41—22no—
617C2×#41—22no—
618C2×#41—22no—
619C2×#41—22no—
620C2×#41—22no—
621C2×#41—22no—
622C2×#41—22no—
623C2×#41—22no—
624C2×#41—22no—
625C2×#41—22no—
626C2×#41—22no—
627C2×#41—22no—
628C2×#41—22no—
629C2×#41—22no—
630C2×#41—22no—
631C2×#41—22no—
632C2×#41—41no—
633C2×#41—41no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—41no—
641C2×#41—41no—
642C2×#41—41no—
643C2×#41—41no—
644C2×#41—41no—
645C2×#41—41no—
646C2×#41—41no—
647C2×#41—44no—
648C2×#41—44no—
649C2×#41—44no—
650C2×#41—44no—
651C2×#41—44no—
652C2×#41—44no—
653C2×#41—44no—
654C2×#41—44no—
655C2×#41—44no—
656C2×#41—44no—
657C2×#41—44no—
658C2×#41—44no—
659C2×#41C2×D414yes—
660C2×#41C2×D414yes—
661C22×Q8—21no—
662C22×Q8—21no—
663C22×Q8—21no—
664C22×Q8—21no—
665C22×Q8—22no—
666C22×Q8—22no—
667C22×Q8—22no—
668C22×Q8—22no—
669C22×Q8—22no—
670C22×Q8—22no—
671C22×Q8—22no—
672C22×Q8—22no—
673C22×Q8—22no—
674C22×Q8—22no—
675C22×Q8—22no—
676C22×Q8—22no—
677C22×Q8—22no—
678C22×Q8—41no—
679C22×Q8—41no—
680C22×Q8—41no—
681C22×Q8—41no—
682C22×Q8—41no—
683C22×Q8—41no—
684C22×Q8—41no—
685C22×Q8—41no—
686C22×Q8—41no—
687C22×Q8—44no—
688C22×Q8—44no—
689C22×Q8—44no—
690C22×Q8C2×D414yes—
691C22×Q8C2×D414yes—
692C22×Q8C2×D411yescharacteristic
693C22×Q8C2411yescharacteristic
694C22×Q8C2411yescharacteristic
695C22×Q8C2411yescharacteristic
696C22×Q8C2411yescharacteristic
697C22×Q8C2411yescharacteristic
698C22×Q8C2411yescharacteristic
699C22×D4—22no—
700C22×D4—22no—
701C22×D4—22no—
702C22×D4—22no—
703C22×D4—22no—
704C22×D4—22no—
705C22×D4—21no—
706C22×D4—21no—
707C22×D4—21no—
708C22×D4—21no—
709C22×D4—21no—
710C22×D4—21no—
711C22×D4—21no—
712C22×D4—21no—
713C22×D4—21no—
714C22×D4—21no—
715C22×D4—22no—
716C22×D4—21no—
717C22×D4—21no—
718C22×D4—21no—
719C22×D4—22no—
720C22×D4—22no—
721C22×D4—22no—
722C22×D4—41no—
723C22×D4—41no—
724C22×D4—41no—
725C22×D4—41no—
726C22×D4—41no—
727C22×D4—41no—
728C22×D4—44no—
729C22×D4—44no—
730C22×D4—44no—
731C22×D4—44no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4C2×D411yescharacteristic
738C22×D4C2×D411yescharacteristic
739C22×D4C2×D411yescharacteristic
740C22×D4C2×D411yescharacteristic
741C22×D4C2×D414yes—
742C22×D4C2×D414yes—
743C22×D4C2×D411yescharacteristic
744C22×D4C2×D411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2411yescharacteristic
748C22×D4C2411yescharacteristic
749C23×C4—21no—
750C23×C4—21no—
751C23×C4—21no—
752C23×C4—21no—
753C23×C4—21no—
754C23×C4—21no—
755C23×C4—21no—
756C23×C4—21no—
757C23×C4—21no—
758C23×C4—21no—
759C23×C4—21no—
760C23×C4—21no—
761C23×C4—21no—
762C23×C4—21no—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767#137—232no—
768#137—232no—
769#137—232no—
770#137—416no—
771AGL(1,ℤ/8)—232no—
772AGL(1,ℤ/8)—232no—
773AGL(1,ℤ/8)—232no—
774#135—232no—
775#135—232no—
776#135—232no—
777C2×Q16—22no—
778C2×Q16—22no—
779C2×Q16—22no—
780C2×Q16—22no—
781C2×Q16—22no—
782C2×Q16—22no—
783C2×Q16—22no—
784C2×Q16—22no—
785C2×Q16—22no—
786C2×Q16—22no—
787C2×Q16—22no—
788C2×Q16—22no—
789C2×Q16—22no—
790C2×Q16—22no—
791C2×Q16—22no—
792C2×Q16—22no—
793C2×Q16—41no—
794C2×Q16—41no—
795C2×Q16—41no—
796C2×Q16—41no—
797C2×Q16—41no—
798C2×Q16—41no—
799C2×Q16C2×D414yes—
800C2×Q16C2×D414yes—
801C2×SD16—232no—
802C2×SD16—232no—
803C2×SD16—22no—
804C2×SD16—22no—
805C2×SD16—22no—
806C2×SD16—22no—
807C2×SD16—22no—
808C2×SD16—22no—
809C2×SD16—22no—
810C2×SD16—22no—
811C2×SD16—22no—
812C2×SD16—22no—
813C2×SD16—22no—
814C2×SD16—22no—
815C2×SD16—22no—
816C2×SD16—22no—
817C2×SD16—22no—
818C2×SD16—22no—
819C2×SD16—232no—
820C2×SD16—22no—
821C2×SD16—22no—
822C2×SD16—22no—
823C2×SD16—22no—
824C2×SD16—22no—
825C2×SD16—22no—
826C2×SD16—22no—
827C2×SD16—22no—
828C2×SD16—22no—
829C2×SD16—22no—
830C2×SD16—22no—
831C2×SD16—22no—
832C2×SD16—41no—
833C2×SD16—41no—
834C2×SD16—41no—
835C2×SD16—41no—
836C2×SD16—41no—
837C2×SD16—41no—
838C2×SD16C2×D414yes—
839C2×SD16C2×D414yes—
840C2×SD16C2×D414yes—
841C2×SD16C2×D414yes—
842C2×SD16C2×D414yes—
843C2×SD16C2×D414yes—
844C2×SD16C2×D414yes—
845C2×SD16C2×D414yes—
846C2×D8—22no—
847C2×D8—22no—
848C2×D8—22no—
849C2×D8—22no—
850C2×D8—22no—
851C2×D8—22no—
852C2×D8—22no—
853C2×D8C2×D414yes—
854C2×D8C2×D414yes—
855#131—232no—
856C2×M16—22no—
857C2×M16—22no—
858C2×M16—22no—
859C2×M16—22no—
860C2×M16—22no—
861C2×M16—22no—
862C2×M16—22no—
863C2×M16—22no—
864C2×M16—22no—
865C2×M16—22no—
866C2×M16C2×D414yes—
867C2×M16C2×D414yes—
868C22×C8—22no—
869C22×C8—22no—
870C22×C8—22no—
871C22×C8—22no—
872C22×C8—22no—
873C22×C8—22no—
874C22×C8—22no—
875C22×C8—22no—
876C22×C8C2×D414yes—
877C22×C8C2411yescharacteristic
878C22×C8C2411yescharacteristic
879C22×C8C2411yescharacteristic
880C22×C8C2411yescharacteristic
881C22×C8C2411yescharacteristic
882C22×C8C2411yescharacteristic
883C22×C8C2411yescharacteristic
884C22×C8C2411yescharacteristic
885C4⋊Q8—22no—
886C4⋊Q8—22no—
887C4⋊Q8—22no—
888C4⋊Q8—41no—
889C4⋊Q8—41no—
890C4⋊Q8—41no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#124—22no—
894#124—22no—
895#124—22no—
896#124—41no—
897#124—41no—
898#124—41no—
899#124—44no—
900#123—44no—
901#123—44no—
902#123—44no—
903#123—44no—
904C22⋊Q8—22no—
905C22⋊Q8—22no—
906C22⋊Q8—22no—
907C22⋊Q8—22no—
908C22⋊Q8—22no—
909C22⋊Q8—22no—
910C22⋊Q8—22no—
911C22⋊Q8—22no—
912C22⋊Q8—22no—
913C22⋊Q8—22no—
914C22⋊Q8—22no—
915C22⋊Q8—22no—
916C22⋊Q8—22no—
917C22⋊Q8—22no—
918C22⋊Q8—22no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—41no—
924C22⋊Q8—41no—
925C22⋊Q8—41no—
926C22⋊Q8—44no—
927#121—22no—
928#121—22no—
929#121—22no—
930#121—44no—
931#121—44no—
932#121—41no—
933#121—41no—
934#121—41no—
935#121—44no—
936#121—44no—
937#120—44no—
938#120—44no—
939#120—82no—
940C4×Q8—22no—
941C4×Q8—22no—
942C4×Q8—22no—
943C4×Q8—41no—
944C4×Q8—41no—
945C4×Q8—41no—
946C4×D4—22no—
947C4×D4—22no—
948C4×D4—22no—
949C4×D4—22no—
950C4×D4—22no—
951C4×D4—22no—
952C4×D4—22no—
953C4×D4—22no—
954C4×D4—22no—
955C4×D4—41no—
956C4×D4—41no—
957C4×D4—41no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C2×C4⋊C4—21no—
962C2×C4⋊C4—21no—
963C2×C4⋊C4—21no—
964C2×C4⋊C4—21no—
965C2×C4⋊C4—21no—
966C2×C4⋊C4—21no—
967C2×C4⋊C4—21no—
968C2×C4⋊C4—21no—
969C2×C4⋊C4—21no—
970C2×C4⋊C4—21no—
971C2×C4⋊C4—21no—
972C2×C4⋊C4—21no—
973C2×C4⋊C4—21no—
974C2×C4⋊C4—21no—
975C2×C4⋊C4—21no—
976C2×C4⋊C4—21no—
977C2×C4⋊C4—21no—
978C2×C4⋊C4—21no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4C2×D411yescharacteristic
981C2×C4⋊C4C2×D411yescharacteristic
982C2×C4⋊C4C2×D411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—21no—
993C2×C22⋊C4—21no—
994C2×C22⋊C4—21no—
995C2×C22⋊C4—21no—
996C2×C22⋊C4—21no—
997C2×C22⋊C4—21no—
998C2×C22⋊C4—21no—
999C2×C22⋊C4—21no—
1000C2×C22⋊C4—21no—
1001C2×C22⋊C4—21no—
1002C2×C22⋊C4—21no—
1003C2×C22⋊C4—21no—
1004C2×C22⋊C4—21no—
1005C2×C22⋊C4—21no—
1006C2×C22⋊C4—21no—
1007C2×C22⋊C4—21no—
1008C2×C22⋊C4—21no—
1009C2×C22⋊C4—21no—
1010C2×C22⋊C4—21no—
1011C2×C22⋊C4—21no—
1012C2×C22⋊C4—21no—
1013C2×C22⋊C4—21no—
1014C2×C22⋊C4—21no—
1015C2×C22⋊C4—21no—
1016C2×C22⋊C4—21no—
1017C2×C22⋊C4—21no—
1018C2×C22⋊C4—21no—
1019C2×C22⋊C4—21no—
1020C2×C22⋊C4—21no—
1021C2×C22⋊C4—21no—
1022C2×C22⋊C4—21no—
1023C2×C22⋊C4—21no—
1024C2×C22⋊C4—21no—
1025C2×C22⋊C4—21no—
1026C2×C22⋊C4—21no—
1027C2×C22⋊C4—21no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—82no—
1031C2×C22⋊C4—82no—
1032C2×C22⋊C4C2×D411yescharacteristic
1033C2×C22⋊C4C2×D411yescharacteristic
1034C2×C22⋊C4C2×D411yescharacteristic
1035C2×C22⋊C4C2×D411yescharacteristic
1036C2×C22⋊C4C2×D411yescharacteristic
1037C2×C22⋊C4C2×D411yescharacteristic
1038C2×C22⋊C4C2×D411yescharacteristic
1039C2×C22⋊C4C2×D411yescharacteristic
1040C2×C22⋊C4C2×D411yescharacteristic
1041C2×C22⋊C4C2×D411yescharacteristic
1042C2×C22⋊C4C2×D411yescharacteristic
1043C2×C22⋊C4C2×D411yescharacteristic
1044C2×C42—21no—
1045C2×C42—21no—
1046C2×C42—21no—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050#107—22no—
1051#106—22no—
1052#106—22no—
1053C4⋊C8—22no—
1054C4⋊C8—22no—
1055C4⋊C8—22no—
1056#103—22no—
1057#103—22no—
1058#103—22no—
1059#103—22no—
1060#103—22no—
1061#103—22no—
1062#103—22no—
1063#103—22no—
1064#103—22no—
1065#103—22no—
1066#103—22no—
1067#103—22no—
1068#103—41no—
1069#103—41no—
1070#103—41no—
1071#103—41no—
1072#103—41no—
1073#103—41no—
1074#102—22no—
1075#102—22no—
1076#102—22no—
1077#102—22no—
1078#102—22no—
1079#102—22no—
1080#102—41no—
1081#102—41no—
1082#102—41no—
1083#102—41no—
1084#102—41no—
1085#102—41no—
1086C22⋊C8—22no—
1087C22⋊C8—22no—
1088C22⋊C8—22no—
1089C22⋊C8—22no—
1090C22⋊C8—22no—
1091C22⋊C8—22no—
1092C22⋊C8—22no—
1093C22⋊C8—22no—
1094C22⋊C8—22no—
1095#97—22no—
1096C4×C8—22no—
1097C4×C8—22no—
1098#95—21no—
1099#95—21no—
1100#95—21no—
1101#95—21no—
1102#95—21no—
1103#95—21no—
1104#95—21no—
1105#95—21no—
1106#95—21no—
1107#95—21no—
1108#95—21no—
1109#95—21no—
1110#95—21no—
1111#95—21no—
1112#95—21no—
1113#95—21no—
1114#95—21no—
1115#95—21no—
1116#95C2×D411yescharacteristic
1117#95C2×D411yescharacteristic
1118#95C2×D411yescharacteristic
1119#95C2×D411yescharacteristic
1120#95C2×D411yescharacteristic
1121#95C2×D411yescharacteristic
1122C24—21no—
1123C24—21no—
1124C24—21no—
1125C24—21no—
1126C24—24no—
1127C24—24no—
1128C24—42no—
1129C24—42no—
1130C24—42no—
1131C24—42no—
1132C24—42no—
1133C24—42no—
1134C24—42no—
1135C24—81no—
1136C24—81no—
1137C24—81no—
1138C24—81no—
1139C24—81no—
1140C24—81no—
1141C24—81no—
1142C24—81no—
1143C24—81no—
1144C24—81no—
1145C24—81no—
1146C24—81no—
1147C24C22×D411yescharacteristic
1148C24C22×D411yescharacteristic
1149C24C22×D411yescharacteristic
1150C24C22×D411yescharacteristic
1151#41—28no—
1152#41—28no—
1153#41—28no—
1154#41—28no—
1155#41—28no—
1156#41—28no—
1157#41—28no—
1158#41—28no—
1159#41—28no—
1160#41—28no—
1161#41—44no—
1162#41—44no—
1163#41—44no—
1164#41—44no—
1165#41—44no—
1166#41—44no—
1167#41—44no—
1168#41—44no—
1169#41—44no—
1170#41—44no—
1171#41—44no—
1172#41—44no—
1173#41—44no—
1174#41—44no—
1175#41—44no—
1176#41—44no—
1177#41—44no—
1178#41—44no—
1179#41—432no—
1180#41—432no—
1181#41—432no—
1182#41—432no—
1183#41—44no—
1184#41—82no—
1185#41—82no—
1186#41—82no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—21no—
1193C2×Q8—21no—
1194C2×Q8—21no—
1195C2×Q8—21no—
1196C2×Q8—21no—
1197C2×Q8—21no—
1198C2×Q8—28no—
1199C2×Q8—28no—
1200C2×Q8—28no—
1201C2×Q8—21no—
1202C2×Q8—21no—
1203C2×Q8—21no—
1204C2×Q8—21no—
1205C2×Q8—21no—
1206C2×Q8—21no—
1207C2×Q8—21no—
1208C2×Q8—21no—
1209C2×Q8—21no—
1210C2×Q8—21no—
1211C2×Q8—21no—
1212C2×Q8—21no—
1213C2×Q8—21no—
1214C2×Q8—21no—
1215C2×Q8—21no—
1216C2×Q8—21no—
1217C2×Q8—21no—
1218C2×Q8—21no—
1219C2×Q8—21no—
1220C2×Q8—21no—
1221C2×Q8—21no—
1222C2×Q8—21no—
1223C2×Q8—21no—
1224C2×Q8—21no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—432no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—82no—
1247C2×Q8—82no—
1248C2×Q8—82no—
1249C2×Q8C22×D412yes—
1250C2×Q8C22×D412yes—
1251C2×Q8C22×D412yes—
1252C2×Q8C22×D412yes—
1253C2×Q8C22×D412yes—
1254C2×Q8C22×D412yes—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—28no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—21no—
1276C2×D4—21no—
1277C2×D4—21no—
1278C2×D4—21no—
1279C2×D4—21no—
1280C2×D4—21no—
1281C2×D4—21no—
1282C2×D4—21no—
1283C2×D4—21no—
1284C2×D4—21no—
1285C2×D4—21no—
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—21no—
1289C2×D4—21no—
1290C2×D4—21no—
1291C2×D4—21no—
1292C2×D4—21no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—432no—
1320C2×D4—432no—
1321C2×D4—432no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—81no—
1341C2×D4—81no—
1342C2×D4—81no—
1343C2×D4—81no—
1344C2×D4—81no—
1345C2×D4C22×D412yes—
1346C2×D4C22×D412yes—
1347C2×D4C22×D412yes—
1348C2×D4C22×D412yes—
1349C2×D4C22×D412yes—
1350C2×D4C22×D412yes—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—81no—
1419C22×C4—81no—
1420C22×C4—81no—
1421C22×C4—81no—
1422C22×C4—81no—
1423C22×C4C22×D411yescharacteristic
1424C22×C4C22×D411yescharacteristic
1425C22×C4C22×D411yescharacteristic
1426C22×C4C22×D411yescharacteristic
1427C22×C4C22×D411yescharacteristic
1428C22×C4C22×D411yescharacteristic
1429C22×C4C22×D411yescharacteristic
1430C22×C4C22×D411yescharacteristic
1431C22×C4C22×D411yescharacteristic
1432C22×C4C22×D412yes—
1433C22×C4C22×D412yes—
1434C22×C4C22×D412yes—
1435C22×C4C22×D411yescharacteristic
1436C22×C4H(5,𝔽2)12yes—
1437C22×C4H(5,𝔽2)12yes—
1438C22×C4H(5,𝔽2)12yes—
1439C22×C4C2511yescharacteristic
1440Q16—28no—
1441Q16—28no—
1442Q16—28no—
1443Q16—44no—
1444Q16—44no—
1445Q16—82no—
1446Q16—82no—
1447Q16—82no—
1448SD16—28no—
1449SD16—28no—
1450SD16—28no—
1451SD16—28no—
1452SD16—28no—
1453SD16—28no—
1454SD16—28no—
1455SD16—28no—
1456SD16—28no—
1457SD16—44no—
1458SD16—82no—
1459SD16—82no—
1460SD16—82no—
1461SD16#120116yescomplemented
1462D8—28no—
1463D8—28no—
1464D8—28no—
1465M16—28no—
1466M16—28no—
1467M16—28no—
1468M16—44no—
1469C2×C8—28no—
1470C2×C8—28no—
1471C2×C8—21no—
1472C2×C8—21no—
1473C2×C8—21no—
1474C2×C8—21no—
1475C2×C8—21no—
1476C2×C8—21no—
1477C2×C8—28no—
1478C2×C8—21no—
1479C2×C8—21no—
1480C2×C8—21no—
1481C2×C8—21no—
1482C2×C8—21no—
1483C2×C8—21no—
1484C2×C8—21no—
1485C2×C8—21no—
1486C2×C8—21no—
1487C2×C8—21no—
1488C2×C8—21no—
1489C2×C8—21no—
1490C2×C8C22×D412yes—
1491C2×C8C22×D412yes—
1492C2×C8C22×D412yes—
1493C2×C8C22×D412yes—
1494C2×C8C22×D412yes—
1495C2×C8C22×D412yes—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—81no—
1567C22⋊C4—81no—
1568C22⋊C4—81no—
1569C22⋊C4—81no—
1570C22⋊C4—81no—
1571C22⋊C4—81no—
1572C22⋊C4—81no—
1573C22⋊C4—81no—
1574C22⋊C4—81no—
1575C22⋊C4—81no—
1576C22⋊C4—81no—
1577C22⋊C4—81no—
1578C22⋊C4—81no—
1579C22⋊C4—81no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—42no—
1587C42—42no—
1588C42—42no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—21no—
1620C23—48no—
1621C23—48no—
1622C23—48no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—84no—
1646C23—84no—
1647C23—84no—
1648C23—84no—
1649C23—162no—
1650C23—162no—
1651C23—162no—
1652C23—162no—
1653C23—162no—
1654C23—162no—
1655C23—162no—
1656C23—162no—
1657C23—162no—
1658C23—162no—
1659C23—162no—
1660C23—162no—
1661C23—162no—
1662C23—162no—
1663C23D4212yes—
1664C23D4212yes—
1665C23D4212yes—
1666C23C23×D411yescharacteristic
1667Q8—28no—
1668Q8—22no—
1669Q8—22no—
1670Q8—22no—
1671Q8—22no—
1672Q8—22no—
1673Q8—22no—
1674Q8—22no—
1675Q8—22no—
1676Q8—22no—
1677Q8—48no—
1678Q8—48no—
1679Q8—48no—
1680Q8—41no—
1681Q8—41no—
1682Q8—41no—
1683Q8—41no—
1684Q8—41no—
1685Q8—41no—
1686Q8—41no—
1687Q8—41no—
1688Q8—41no—
1689Q8—41no—
1690Q8—41no—
1691Q8—41no—
1692Q8—41no—
1693Q8—41no—
1694Q8—84no—
1695Q8C2×#12014yes—
1696D4—28no—
1697D4—28no—
1698D4—28no—
1699D4—22no—
1700D4—22no—
1701D4—22no—
1702D4—22no—
1703D4—22no—
1704D4—22no—
1705D4—22no—
1706D4—22no—
1707D4—22no—
1708D4—44no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—48no—
1713D4—48no—
1714D4—44no—
1715D4—48no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—41no—
1725D4—82no—
1726D4—84no—
1727D4—84no—
1728D4—162no—
1729D4—162no—
1730D4C2×#12014yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—84no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—162no—
1822C2×C4—162no—
1823C2×C4D4212yes—
1824C2×C4D4212yes—
1825C2×C4D4212yes—
1826C2×C4#57712yescomplemented
1827C2×C4C23×D411yescharacteristic
1828C2×C4C23×D411yescharacteristic
1829C2×C4C23×D411yescharacteristic
1830C2×C4C2×H(5,𝔽2)11yescharacteristic
1831C2×C4C2×H(5,𝔽2)11yescharacteristic
1832C2×C4C2×H(5,𝔽2)11yescharacteristic
1833C8—22no—
1834C8—22no—
1835C8—22no—
1836C8—41no—
1837C8—41no—
1838C8—41no—
1839C8—41no—
1840C8C2×#12014yes—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—24no—
1851C22—41no—
1852C22—41no—
1853C22—42no—
1854C22—41no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—41no—
1860C22—42no—
1861C22—41no—
1862C22—41no—
1863C22—42no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22—81no—
1894C22—81no—
1895C22—81no—
1896C22—81no—
1897C22—168no—
1898C22—168no—
1899C22—168no—
1900C22C2×D4211yescharacteristic
1901C22C2×D4211yescharacteristic
1902C22C2×D4211yescharacteristic
1903C22C2×#57711yescharacteristic
1904C22#358411yescharacteristic
1905C22#358611yescharacteristic
1906C22#358611yescharacteristic
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—24no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—42no—
1919C4—42no—
1920C4—42no—
1921C4—81no—
1922C4—81no—
1923C4—81no—
1924C4—81no—
1925C4—81no—
1926C4—81no—
1927C4—81no—
1928C4—81no—
1929C4C22×#12011yescharacteristic
1930C4#348411yescharacteristic
1931C4#348411yescharacteristic
1932C4#348411yescharacteristic
1933C2—42no—
1934C2—42no—
1935C2—42no—
1936C2—44no—
1937C2—81no—
1938C2—82no—
1939C2—82no—
1940C2—82no—
1941C2D4×#12011yescharacteristic
1942C2#6106011yescharacteristic
1943C2#6107311yescharacteristic
1944C2#6107511yescharacteristic
1945C2#6108511yescharacteristic
1946C2#6109411yescharacteristic
1947C2#6109611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#577C2semidirect
2. C2×#3276C2semidirect
3. C2×#3275C2semidirect
4. C2×#3266C2semidirect
5. #35750C2semidirect
6. #35687C2semidirect
7. #32940C2semidirect
8. #32887C2semidirect
9. #32886C2semidirect
10. #25796C2semidirect
11. #25795C2semidirect
12. #25778C2semidirect
13. #24369C2semidirect
14. #24367C2semidirect
15. #24365C2semidirect
16. #24363C2semidirect
17. #24358C2semidirect
18. #24357C2semidirect
19. #24277C2semidirect
20. #24276C2semidirect
21. #24271C2semidirect
22. #23868C2semidirect
23. #23863C2semidirect
24. #23855C2semidirect
25. #23854C2semidirect
26. #23853C2semidirect
27. #23852C2semidirect
28. C22⋊C4×SD16C2semidirect
29. #22444C2semidirect
30. #22443C2semidirect
31. #21445C2semidirect
40. C22×#137C22semidirect
51. C2×D4×Q8C22semidirect
52. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
60. C2×#497C22semidirect
61. C2×#495C22semidirect
62. C2×#494C22semidirect
63. C2×#470C22semidirect
64. C2×#470C22semidirect
65. C2×#470C22semidirect
66. C2×#469C22semidirect
67. C2×#468C22semidirect
68. C2×#467C22semidirect
69. C2×#464C22semidirect
70. C2×#464C22semidirect
71. C2×#462C22semidirect
72. C2×#463C22semidirect
73. C2×#461C22semidirect
74. C2×#461C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
82. C2×#452C22semidirect
83. C2×#449C22semidirect
84. C2×#451C22semidirect
85. C2×#451C22semidirect
86. C2×#451C22semidirect
87. C2×#451C22semidirect
88. C2×#448C22semidirect
89. C2×#448C22semidirect
93. C2×#440C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×C4×SD16C22semidirect
96. C2×#436C22semidirect
97. C2×#436C22semidirect
98. C2×#435C22semidirect
105. #2434C22semidirect
110. #2432C22semidirect
111. #2432C22semidirect
116. #2409C22semidirect
122. #2407C22semidirect
123. #2407C22semidirect
130. #2341C22semidirect
131. Q8×C22⋊C4C22semidirect
132. Q8×C22⋊C4C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
140. #2055C22semidirect
141. #2054C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
145. #2015C22semidirect
146. #2015C22semidirect
147. #2015C22semidirect
148. #2013C22semidirect
149. #2013C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2001C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #1999C22semidirect
160. #1972C22semidirect
161. #1971C22semidirect
162. #1970C22semidirect
163. #1969C22semidirect
164. #1968C22semidirect
165. #1968C22semidirect
166. #1894C22semidirect
167. #1894C22semidirect
168. #1892C22semidirect
169. #1892C22semidirect
170. #1892C22semidirect
171. #1892C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1851C22semidirect
188. #1850C22semidirect
189. #1850C22semidirect
190. #1809C22semidirect
191. #1809C22semidirect
192. #1807C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
206. #1753C22semidirect
207. #1753C22semidirect
208. C8×C22⋊C4C22semidirect
256. C2×#137D4semidirect
265. C2×AGL(1,ℤ/8)D4semidirect
291. C22×SD16D4semidirect
1461. SD16#120semidirect
1826. C2×C4#577semidirect

Maximal subgroups

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

subgroupindex
C22×#5772
C2×#32762
C2×#32752
C2×#32662
#357502
#356872
#329402
#328872
#328862
#257962
#257952
#257782
#243692
#243672
#243652
#243632
#243582
#243572
#242772
#242762
#242712
#238682
#238632
#238552
#238542
#238532
#238522
C22⋊C4×SD162
#224442
#224432
#214452