Finite Group Databasebeta

← #6573749

Subgroups — #6573749

Order 512.

4802 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#577C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3C2×#3274C211yesmaximal, characteristic, complemented
4C2×#3265C211yesmaximal, characteristic, complemented
5#35757C211yesmaximal, characteristic, complemented
6#35680C211yesmaximal, characteristic, complemented
7#32939C211yesmaximal, characteristic, complemented
8#32885C211yesmaximal, characteristic, complemented
9#32884C211yesmaximal, characteristic, complemented
10#25797C211yesmaximal, characteristic, complemented
11#25794C211yesmaximal, characteristic, complemented
12#25777C211yesmaximal, characteristic, complemented
13#24368C211yesmaximal, characteristic, complemented
14#24366C211yesmaximal, characteristic, complemented
15#24364C211yesmaximal, characteristic, complemented
16#24362C211yesmaximal, characteristic, complemented
17#24359C211yesmaximal, characteristic, complemented
18#24356C211yesmaximal, characteristic, complemented
19#24277C211yesmaximal, characteristic, complemented
20#24276C211yesmaximal, characteristic, complemented
21#24271C211yesmaximal, characteristic, complemented
22#23871C211yesmaximal, characteristic, complemented
23#23860C211yesmaximal, characteristic, complemented
24#23858C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23850C211yesmaximal, characteristic, complemented
27#23849C211yesmaximal, characteristic, complemented
28C22⋊C4×SD16C211yesmaximal, characteristic, complemented
29#22444C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#21445C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×H(5,𝔽2)C2211yescharacteristic
34C2×#577—28no—
35C2×#577—28no—
36C2×#577—28no—
37C22×#137C2211yescharacteristic
38C22×#137C2211yescharacteristic, complemented
39C22×#137C2211yescharacteristic, complemented
40C22×AGL(1,ℤ/8)C2211yescharacteristic
41C22×AGL(1,ℤ/8)C2211yescharacteristic
42C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
43C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
44C22×#135C2211yescharacteristic
45C22×#135C2211yescharacteristic, complemented
46C22×#135C2211yescharacteristic, complemented
47C23×SD16C2211yescharacteristic
48C23×SD16C2211yescharacteristic
49C23×SD16C2211yescharacteristic, complemented
50C22×#131C2211yescharacteristic, complemented
51C2×#550C2211yescharacteristic, complemented
52C2×#548C2211yescharacteristic, complemented
53C2×#548C2211yescharacteristic, complemented
54C2×#546C2211yescharacteristic
55C2×D42C2211yescharacteristic
56C2×D42C2211yescharacteristic
57#3275—28no—
58#3274—28no—
59#3265—28no—
60C2×#496C2211yescharacteristic, complemented
61C2×#495C2211yescharacteristic, complemented
62C2×#493C2211yescharacteristic, complemented
63C2×#470C2211yescharacteristic, complemented
64C2×#469C2211yescharacteristic, complemented
65C2×#469C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic, complemented
67C2×#468C2211yescharacteristic, complemented
68C2×#466C2211yescharacteristic, complemented
69C2×#464C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#449C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#448C2211yescharacteristic, complemented
85C2×#448C2211yescharacteristic, complemented
86C2×#448C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic, complemented
88C2×#450C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic
90C2×#447C2211yescharacteristic
91C2×#447C2211yescharacteristic, complemented
92C2×#447C2211yescharacteristic, complemented
93C2×#440C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
95C2×C4×SD16C2211yescharacteristic, complemented
96C2×#436C2211yescharacteristic, complemented
97C2×#436C2211yescharacteristic, complemented
98C2×#435C2211yescharacteristic, complemented
99#2615—21no—
100#2615C2211yescharacteristic
101#2615C2211yescharacteristic, complemented
102#2613—21no—
103#2436—21no—
104#2436C2211yescharacteristic, complemented
105#2433C2211yescharacteristic
106#2431—21no—
107#2431—21no—
108#2431C2211yescharacteristic
109#2431C2211yescharacteristic
110#2431C2211yescharacteristic, complemented
111#2431C2211yescharacteristic, 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#2404—21no—
125#2403—21no—
126#2403—21no—
127#2388—21no—
128#2388C2211yescharacteristic
129C2×#392—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#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#2012C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, 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#1895C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1893C2211yescharacteristic, complemented
170#1893C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, 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, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1786C2211yescharacteristic
204#1786C2211yescharacteristic, complemented
205#1780C2211yescharacteristic, complemented
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×D4—21no—
238C23×D4—21no—
239C23×D4—21no—
240C23×D4—21no—
241C23×D4—21no—
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246#577—2128no—
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×#137D418yescomplemented
256C2×AGL(1,ℤ/8)—24no—
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)—24no—
266C2×AGL(1,ℤ/8)—24no—
267C2×AGL(1,ℤ/8)D418yescomplemented
268C2×#135—24no—
269C2×#135—24no—
270C2×#135—24no—
271C2×#135—24no—
272C2×#135—24no—
273C2×#135—24no—
274C2×#135—24no—
275C2×#135—24no—
276C2×#135—24no—
277C22×Q16C2311yescharacteristic
278C22×Q16C2311yescharacteristic
279C22×Q16C2311yescharacteristic
280C22×SD16—24no—
281C22×SD16—24no—
282C22×SD16—24no—
283C22×SD16—24no—
284C22×SD16—24no—
285C22×SD16—24no—
286C22×SD16—24no—
287C22×SD16—24no—
288C22×SD16D418yescomplemented
289C22×SD16C2311yescharacteristic
290C22×SD16C2311yescharacteristic
291C22×SD16C2311yescharacteristic
292C22×SD16C2311yescharacteristic
293C22×SD16C2311yescharacteristic
294C22×SD16C2311yescharacteristic
295C22×SD16C2311yescharacteristic
296C22×SD16C2311yescharacteristic
297C22×SD16C2311yescharacteristic
298C22×SD16C2311yescharacteristic
299C22×SD16C2311yescharacteristic
300C22×SD16C2311yescharacteristic
301C22×SD16C2311yescharacteristic
302C22×SD16C2311yescharacteristic
303C22×D8C2311yescharacteristic
304C22×D8C2311yescharacteristic
305C22×D8C2311yescharacteristic
306C22×D8C2311yescharacteristic
307C22×D8C2311yescharacteristic
308C22×D8C2311yescharacteristic
309C22×D8C2311yescharacteristic
310C22×D8C2311yescharacteristic
311C2×#131—24no—
312C2×#131—24no—
313C2×#131—24no—
314C22×M16C2311yescharacteristic
315C22×M16C2311yescharacteristic
316C22×M16C2311yescharacteristic
317C22×M16C2311yescharacteristic
318C23×C8C2311yescharacteristic
319C23×C8C2311yescharacteristic
320C23×C8C2311yescharacteristic
321#550—24no—
322#550—42no—
323#548—24no—
324#548—24no—
325#548—42no—
326#548—42no—
327#546—24no—
328#546—42no—
329D42—24no—
330D42—24no—
331D42—42no—
332D42—42no—
333C2×#127—21no—
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#124—21no—
338C2×#124—21no—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#123—21no—
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—21no—
354C2×#121—21no—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C22×C22⋊C4—21no—
385C22×C22⋊C4—21no—
386C22×C22⋊C4—21no—
387#496—24no—
388#495—24no—
389#493—24no—
390#470—24no—
391#469—24no—
392#469—24no—
393#469—24no—
394#468—24no—
395#466—24no—
396#464—24no—
397#463—24no—
398#463—24no—
399#460—24no—
400#460—24no—
401#459—24no—
402#452—24no—
403#450—24no—
404#450—24no—
405#449—24no—
406#449—24no—
407#449—24no—
408#449—24no—
409#449—42no—
410#449—42no—
411#449—42no—
412#449—42no—
413#448—24no—
414#448—24no—
415#448—42no—
416#447—24no—
417#447—24no—
418#447—24no—
419#447—42no—
420#440—24no—
421C4×SD16—24no—
422C4×SD16—24no—
423#436—24no—
424#436—24no—
425#435—24no—
426C2×#107C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×#106C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430C2×C4⋊C8C2311yescharacteristic
431C2×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×#97C2311yescharacteristic
472C2×C4×C8C2311yescharacteristic
473C2×C4×C8C2311yescharacteristic
474#395—21no—
475#395D411yescharacteristic
476#394—21no—
477#394—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394D411yescharacteristic
482#394D411yescharacteristic
483#394D411yescharacteristic
484#393—21no—
485#393—21no—
486#393—21no—
487#393—21no—
488#393—21no—
489#393D411yescharacteristic
490#392—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#392—21no—
495#392—21no—
496#392—21no—
497#392—21no—
498#392—21no—
499#392—21no—
500#392—21no—
501#392—21no—
502#392—21no—
503#392—21no—
504#392—21no—
505#392—21no—
506#392—21no—
507#392—21no—
508#392—21no—
509#392—21no—
510#392—21no—
511#392D411yescharacteristic
512#392D411yescharacteristic
513#392D411yescharacteristic
514#391—21no—
515#391—21no—
516#391—21no—
517#391—21no—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#390—21no—
525#390—21no—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
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#386—21no—
542#386—21no—
543#386—21no—
544#386—21no—
545#386—21no—
546#386—21no—
547#386—21no—
548#386—21no—
549#386—21no—
550#386—21no—
551#386—21no—
552#386—21no—
553#385—21no—
554#385—21no—
555#385—21no—
556#385—21no—
557#385—21no—
558#381—21no—
559#380—21no—
560#380—21no—
561#380—21no—
562#380C2311yescharacteristic
563#380C2311yescharacteristic
564#380C2311yescharacteristic
565#380C2311yescharacteristic
566#380C2311yescharacteristic
567#380C2311yescharacteristic
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—
593C25—21no—
5942−1+4—232no—
5952−1+4—416no—
5962−1+4—416no—
5972−1+4—416no—
598H(5,𝔽2)—232no—
599H(5,𝔽2)—416no—
600H(5,𝔽2)—416no—
601H(5,𝔽2)—416no—
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—22no—
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—41no—
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×#41—44no—
660C2×#41C2×D414yes—
661C2×#41C2×D414yescomplemented
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—41no—
676C22×Q8—41no—
677C22×Q8—41no—
678C22×Q8—41no—
679C22×Q8—41no—
680C22×Q8—41no—
681C22×Q8—44no—
682C22×Q8—44no—
683C22×Q8—44no—
684C22×Q8C2×D411yescharacteristic
685C22×Q8C2×D414yescomplemented
686C22×Q8C2×D414yescomplemented
687C22×Q8C2411yescharacteristic
688C22×Q8C2411yescharacteristic
689C22×Q8C2411yescharacteristic
690C22×Q8C2411yescharacteristic
691C22×D4—22no—
692C22×D4—22no—
693C22×D4—22no—
694C22×D4—22no—
695C22×D4—22no—
696C22×D4—22no—
697C22×D4—21no—
698C22×D4—21no—
699C22×D4—22no—
700C22×D4—22no—
701C22×D4—22no—
702C22×D4—21no—
703C22×D4—21no—
704C22×D4—21no—
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—21no—
716C22×D4—22no—
717C22×D4—21no—
718C22×D4—21no—
719C22×D4—21no—
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4—21no—
724C22×D4—21no—
725C22×D4—21no—
726C22×D4—21no—
727C22×D4—22no—
728C22×D4—22no—
729C22×D4—22no—
730C22×D4—41no—
731C22×D4—41no—
732C22×D4—41no—
733C22×D4—41no—
734C22×D4—41no—
735C22×D4—41no—
736C22×D4—41no—
737C22×D4—41no—
738C22×D4—41no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—82no—
751C22×D4—82no—
752C22×D4—82no—
753C22×D4—82no—
754C22×D4C2×D411yescharacteristic
755C22×D4C2×D411yescharacteristic
756C22×D4C2×D411yescharacteristic
757C22×D4C2×D411yescharacteristic
758C22×D4C2×D414yes—
759C22×D4C2×D414yes—
760C22×D4C2×D411yescharacteristic
761C22×D4C2×D411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C23×C4—21no—
769C23×C4—21no—
770C23×C4—21no—
771C23×C4—21no—
772C23×C4—21no—
773C23×C4—21no—
774C23×C4—21no—
775C23×C4—21no—
776C23×C4—21no—
777C23×C4—21no—
778C23×C4—21no—
779C23×C4—21no—
780C23×C4—21no—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785#137—232no—
786#137—232no—
787#137—232no—
788AGL(1,ℤ/8)—232no—
789AGL(1,ℤ/8)—232no—
790AGL(1,ℤ/8)—232no—
791AGL(1,ℤ/8)—416no—
792#135—232no—
793#135—232no—
794#135—232no—
795C2×Q16—22no—
796C2×Q16—22no—
797C2×Q16—22no—
798C2×Q16—22no—
799C2×Q16—22no—
800C2×Q16—22no—
801C2×Q16—22no—
802C2×Q16C2×D414yescomplemented
803C2×Q16C2×D414yescomplemented
804C2×SD16—232no—
805C2×SD16—232no—
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—22no—
820C2×SD16—22no—
821C2×SD16—22no—
822C2×SD16—232no—
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—22no—
833C2×SD16—22no—
834C2×SD16—22no—
835C2×SD16—41no—
836C2×SD16—41no—
837C2×SD16—41no—
838C2×SD16—41no—
839C2×SD16—41no—
840C2×SD16—41no—
841C2×SD16C2×D414yes—
842C2×SD16C2×D414yes—
843C2×SD16C2×D414yes—
844C2×SD16C2×D414yes—
845C2×SD16C2×D414yes—
846C2×SD16C2×D414yescomplemented
847C2×SD16C2×D414yescomplemented
848C2×SD16C2×D414yescomplemented
849C2×D8—22no—
850C2×D8—22no—
851C2×D8—22no—
852C2×D8—22no—
853C2×D8—22no—
854C2×D8—22no—
855C2×D8—22no—
856C2×D8—22no—
857C2×D8—22no—
858C2×D8—22no—
859C2×D8—22no—
860C2×D8—22no—
861C2×D8—22no—
862C2×D8—22no—
863C2×D8—22no—
864C2×D8—22no—
865C2×D8—41no—
866C2×D8—41no—
867C2×D8—41no—
868C2×D8—41no—
869C2×D8—41no—
870C2×D8—41no—
871C2×D8C2×D414yes—
872C2×D8C2×D414yescomplemented
873#131—232no—
874C2×M16—22no—
875C2×M16—22no—
876C2×M16—22no—
877C2×M16—22no—
878C2×M16—22no—
879C2×M16—22no—
880C2×M16—22no—
881C2×M16—22no—
882C2×M16—22no—
883C2×M16—22no—
884C2×M16C2×D414yescomplemented
885C2×M16C2×D414yescomplemented
886C22×C8—22no—
887C22×C8—22no—
888C22×C8—22no—
889C22×C8—22no—
890C22×C8—22no—
891C22×C8—22no—
892C22×C8—22no—
893C22×C8—22no—
894C22×C8C2×D414yescomplemented
895C22×C8C2411yescharacteristic
896C22×C8C2411yescharacteristic
897C22×C8C2411yescharacteristic
898C22×C8C2411yescharacteristic
899C22×C8C2411yescharacteristic
900C22×C8C2411yescharacteristic
901C22×C8C2411yescharacteristic
902C22×C8C2411yescharacteristic
903#127—22no—
904#127—22no—
905#127—22no—
906#127—41no—
907#127—41no—
908#127—41no—
909#127—44no—
910#124—22no—
911#124—22no—
912#124—22no—
913#124—41no—
914#124—41no—
915#124—41no—
916#124—44no—
917#124—44no—
918#123—44no—
919C22⋊Q8—22no—
920C22⋊Q8—22no—
921C22⋊Q8—22no—
922C22⋊Q8—41no—
923C22⋊Q8—41no—
924C22⋊Q8—41no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—22no—
928#121—22no—
929#121—22no—
930#121—22no—
931#121—22no—
932#121—22no—
933#121—22no—
934#121—22no—
935#121—22no—
936#121—22no—
937#121—22no—
938#121—22no—
939#121—22no—
940#121—22no—
941#121—22no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—41no—
946#121—41no—
947#121—41no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#120—44no—
953#120—44no—
954#120—44no—
955#120—44no—
956#120—44no—
957#120—82no—
958#120—82no—
959#120—82no—
960C4×Q8—22no—
961C4×Q8—22no—
962C4×Q8—22no—
963C4×Q8—41no—
964C4×Q8—41no—
965C4×Q8—41no—
966C4×D4—22no—
967C4×D4—22no—
968C4×D4—22no—
969C4×D4—22no—
970C4×D4—22no—
971C4×D4—22no—
972C4×D4—22no—
973C4×D4—22no—
974C4×D4—22no—
975C4×D4—41no—
976C4×D4—41no—
977C4×D4—41no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C2×C4⋊C4—21no—
982C2×C4⋊C4—21no—
983C2×C4⋊C4—21no—
984C2×C4⋊C4—21no—
985C2×C4⋊C4—21no—
986C2×C4⋊C4—21no—
987C2×C4⋊C4C2×D411yescharacteristic
988C2×C4⋊C4C2×D411yescharacteristic
989C2×C4⋊C4C2×D411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
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—21no—
1029C2×C22⋊C4—21no—
1030C2×C22⋊C4—21no—
1031C2×C22⋊C4—21no—
1032C2×C22⋊C4—21no—
1033C2×C22⋊C4—21no—
1034C2×C22⋊C4—21no—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4—82no—
1037C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
1045C2×C22⋊C4C2×D411yescharacteristic
1046C2×C22⋊C4C2×D411yescharacteristic
1047C2×C22⋊C4C2×D411yescharacteristic
1048C2×C22⋊C4C2×D411yescharacteristic
1049C2×C22⋊C4C2×D411yescharacteristic
1050C2×C42—21no—
1051C2×C42—21no—
1052C2×C42—21no—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056#107—22no—
1057#106—22no—
1058#106—22no—
1059C4⋊C8—22no—
1060C4⋊C8—22no—
1061C4⋊C8—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—22no—
1081#102—22no—
1082#102—22no—
1083#102—22no—
1084#102—22no—
1085#102—22no—
1086#102—41no—
1087#102—41no—
1088#102—41no—
1089#102—41no—
1090#102—41no—
1091#102—41no—
1092C22⋊C8—22no—
1093C22⋊C8—22no—
1094C22⋊C8—22no—
1095C22⋊C8—22no—
1096C22⋊C8—22no—
1097C22⋊C8—22no—
1098C22⋊C8—22no—
1099C22⋊C8—22no—
1100C22⋊C8—22no—
1101#97—22no—
1102C4×C8—22no—
1103C4×C8—22no—
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#95—21no—
1117#95—21no—
1118#95—21no—
1119#95—21no—
1120#95—21no—
1121#95—21no—
1122#95C2×D411yescharacteristic
1123#95C2×D411yescharacteristic
1124#95C2×D411yescharacteristic
1125#95C2×D411yescharacteristic
1126#95C2×D411yescharacteristic
1127#95C2×D411yescharacteristic
1128C24—21no—
1129C24—21no—
1130C24—21no—
1131C24—21no—
1132C24—24no—
1133C24—24no—
1134C24—21no—
1135C24—21no—
1136C24—42no—
1137C24—42no—
1138C24—42no—
1139C24—42no—
1140C24—42no—
1141C24—42no—
1142C24—42no—
1143C24—42no—
1144C24—42no—
1145C24—42no—
1146C24—42no—
1147C24—81no—
1148C24—81no—
1149C24—81no—
1150C24—81no—
1151C24—81no—
1152C24—81no—
1153C24—81no—
1154C24—81no—
1155C24—81no—
1156C24—81no—
1157C24—81no—
1158C24—81no—
1159C24—81no—
1160C24—81no—
1161C24—81no—
1162C24C22×D411yescharacteristic
1163C24C22×D411yescharacteristic
1164C24C22×D411yescharacteristic
1165C24C22×D411yescharacteristic
1166#41—28no—
1167#41—28no—
1168#41—28no—
1169#41—28no—
1170#41—28no—
1171#41—28no—
1172#41—28no—
1173#41—28no—
1174#41—28no—
1175#41—28no—
1176#41—44no—
1177#41—44no—
1178#41—44no—
1179#41—44no—
1180#41—44no—
1181#41—44no—
1182#41—44no—
1183#41—44no—
1184#41—44no—
1185#41—44no—
1186#41—44no—
1187#41—44no—
1188#41—44no—
1189#41—44no—
1190#41—44no—
1191#41—44no—
1192#41—44no—
1193#41—44no—
1194#41—432no—
1195#41—432no—
1196#41—432no—
1197#41—432no—
1198#41—44no—
1199#41—82no—
1200#41—82no—
1201#41—82no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—21no—
1208C2×Q8—21no—
1209C2×Q8—21no—
1210C2×Q8—21no—
1211C2×Q8—21no—
1212C2×Q8—21no—
1213C2×Q8—28no—
1214C2×Q8—28no—
1215C2×Q8—28no—
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—21no—
1226C2×Q8—21no—
1227C2×Q8—21no—
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×Q8C22×D412yes—
1246C2×Q8C22×D412yes—
1247C2×Q8C22×D412yes—
1248C2×Q8C22×D412yes—
1249C2×Q8C22×D412yes—
1250C2×Q8C22×D412yes—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—21no—
1272C2×D4—21no—
1273C2×D4—21no—
1274C2×D4—21no—
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—21no—
1294C2×D4—21no—
1295C2×D4—21no—
1296C2×D4—21no—
1297C2×D4—21no—
1298C2×D4—21no—
1299C2×D4—21no—
1300C2×D4—21no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—41no—
1326C2×D4—41no—
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—432no—
1341C2×D4—432no—
1342C2×D4—432no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—81no—
1369C2×D4—81no—
1370C2×D4—81no—
1371C2×D4—81no—
1372C2×D4—81no—
1373C2×D4—81no—
1374C2×D4—81no—
1375C2×D4—81no—
1376C2×D4—81no—
1377C2×D4—82no—
1378C2×D4—82no—
1379C2×D4—82no—
1380C2×D4—81no—
1381C2×D4—81no—
1382C2×D4—81no—
1383C2×D4—81no—
1384C2×D4—81no—
1385C2×D4—81no—
1386C2×D4—81no—
1387C2×D4—81no—
1388C2×D4—81no—
1389C2×D4—81no—
1390C2×D4—81no—
1391C2×D4—81no—
1392C2×D4—81no—
1393C2×D4—81no—
1394C2×D4—81no—
1395C2×D4—81no—
1396C2×D4—816no—
1397C2×D4—816no—
1398C2×D4C22×D412yes—
1399C2×D4C22×D412yes—
1400C2×D4C22×D412yes—
1401C2×D4C22×D412yes—
1402C2×D4C22×D412yes—
1403C2×D4C22×D412yes—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—81no—
1468C22×C4—81no—
1469C22×C4—81no—
1470C22×C4—81no—
1471C22×C4C22×D411yescharacteristic
1472C22×C4C22×D411yescharacteristic
1473C22×C4C22×D411yescharacteristic
1474C22×C4C22×D411yescharacteristic
1475C22×C4C22×D411yescharacteristic
1476C22×C4C22×D411yescharacteristic
1477C22×C4C22×D411yescharacteristic
1478C22×C4C22×D411yescharacteristic
1479C22×C4C22×D411yescharacteristic
1480C22×C4C22×D412yes—
1481C22×C4C22×D412yes—
1482C22×C4C22×D412yes—
1483C22×C4C22×D411yescharacteristic
1484C22×C4H(5,𝔽2)12yes—
1485C22×C4H(5,𝔽2)12yes—
1486C22×C4H(5,𝔽2)12yes—
1487C22×C4C2511yescharacteristic
1488Q16—28no—
1489Q16—28no—
1490Q16—28no—
1491SD16—28no—
1492SD16—28no—
1493SD16—28no—
1494SD16—28no—
1495SD16—28no—
1496SD16—28no—
1497SD16—28no—
1498SD16—28no—
1499SD16—28no—
1500SD16—44no—
1501SD16—82no—
1502SD16—82no—
1503SD16—82no—
1504SD16#120116yescomplemented
1505D8—28no—
1506D8—28no—
1507D8—28no—
1508D8—44no—
1509D8—44no—
1510D8—82no—
1511D8—82no—
1512D8—82no—
1513M16—28no—
1514M16—28no—
1515M16—28no—
1516M16—44no—
1517C2×C8—28no—
1518C2×C8—28no—
1519C2×C8—21no—
1520C2×C8—21no—
1521C2×C8—21no—
1522C2×C8—21no—
1523C2×C8—21no—
1524C2×C8—21no—
1525C2×C8—28no—
1526C2×C8—21no—
1527C2×C8—21no—
1528C2×C8—21no—
1529C2×C8—21no—
1530C2×C8—21no—
1531C2×C8—21no—
1532C2×C8—21no—
1533C2×C8—21no—
1534C2×C8—21no—
1535C2×C8—21no—
1536C2×C8—21no—
1537C2×C8—21no—
1538C2×C8C22×D412yes—
1539C2×C8C22×D412yes—
1540C2×C8C22×D412yes—
1541C2×C8C22×D412yes—
1542C2×C8C22×D412yes—
1543C2×C8C22×D412yes—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—21no—
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—81no—
1601C22⋊C4—81no—
1602C22⋊C4—81no—
1603C22⋊C4—81no—
1604C22⋊C4—81no—
1605C22⋊C4—81no—
1606C22⋊C4—81no—
1607C22⋊C4—81no—
1608C22⋊C4—81no—
1609C22⋊C4—81no—
1610C22⋊C4—81no—
1611C22⋊C4—81no—
1612C22⋊C4—81no—
1613C22⋊C4—81no—
1614C22⋊C4—81no—
1615C22⋊C4—81no—
1616C42—21no—
1617C42—21no—
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—21no—
1622C42—42no—
1623C42—42no—
1624C42—42no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—48no—
1657C23—48no—
1658C23—48no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—84no—
1696C23—84no—
1697C23—84no—
1698C23—84no—
1699C23—84no—
1700C23—84no—
1701C23—84no—
1702C23—84no—
1703C23—162no—
1704C23—162no—
1705C23—162no—
1706C23—162no—
1707C23—162no—
1708C23—162no—
1709C23—162no—
1710C23—162no—
1711C23—162no—
1712C23—162no—
1713C23—162no—
1714C23—162no—
1715C23—162no—
1716C23—162no—
1717C23—162no—
1718C23—162no—
1719C23—162no—
1720C23D4212yes—
1721C23D4212yes—
1722C23D4212yes—
1723C23C23×D411yescharacteristic
1724Q8—28no—
1725Q8—22no—
1726Q8—22no—
1727Q8—22no—
1728Q8—22no—
1729Q8—22no—
1730Q8—22no—
1731Q8—22no—
1732Q8—22no—
1733Q8—22no—
1734Q8—48no—
1735Q8—48no—
1736Q8—48no—
1737Q8—41no—
1738Q8—41no—
1739Q8—41no—
1740Q8—41no—
1741Q8—41no—
1742Q8—41no—
1743Q8C2×#12014yes—
1744D4—28no—
1745D4—28no—
1746D4—28no—
1747D4—22no—
1748D4—22no—
1749D4—22no—
1750D4—22no—
1751D4—22no—
1752D4—22no—
1753D4—22no—
1754D4—22no—
1755D4—22no—
1756D4—48no—
1757D4—48no—
1758D4—44no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—44no—
1763D4—48no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—41no—
1774D4—41no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—41no—
1781D4—84no—
1782D4—84no—
1783D4—84no—
1784D4—82no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—84no—
1793D4—162no—
1794D4—162no—
1795D4—162no—
1796D4—162no—
1797D4—162no—
1798D4—162no—
1799D4C2×#12014yes—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—84no—
1882C2×C4—84no—
1883C2×C4—84no—
1884C2×C4—162no—
1885C2×C4D4212yes—
1886C2×C4D4212yes—
1887C2×C4D4212yes—
1888C2×C4#57712yescomplemented
1889C2×C4C23×D411yescharacteristic
1890C2×C4C23×D411yescharacteristic
1891C2×C4C23×D411yescharacteristic
1892C2×C4C2×H(5,𝔽2)11yescharacteristic
1893C2×C4C2×H(5,𝔽2)11yescharacteristic
1894C2×C4C2×H(5,𝔽2)11yescharacteristic
1895C8—22no—
1896C8—22no—
1897C8—22no—
1898C8—41no—
1899C8—41no—
1900C8—41no—
1901C8—41no—
1902C8C2×#12014yes—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—24no—
1913C22—42no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—42no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—41no—
1927C22—42no—
1928C22—42no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—42no—
1936C22—41no—
1937C22—42no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—41no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22—81no—
1968C22—81no—
1969C22—81no—
1970C22—81no—
1971C22—81no—
1972C22—81no—
1973C22—168no—
1974C22—168no—
1975C22—168no—
1976C22—168no—
1977C22C2×D4211yescharacteristic
1978C22C2×D4211yescharacteristic
1979C22C2×D4211yescharacteristic
1980C22C2×#57711yescharacteristic
1981C22#358411yescharacteristic
1982C22#358511yescharacteristic
1983C22#358511yescharacteristic
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—24no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—41no—
1994C4—41no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—81no—
1999C4—81no—
2000C4—81no—
2001C4—81no—
2002C4—81no—
2003C4—81no—
2004C4C22×#12011yescharacteristic
2005C4#348411yescharacteristic
2006C4#348411yescharacteristic
2007C4#348411yescharacteristic
2008C2—42no—
2009C2—42no—
2010C2—42no—
2011C2—44no—
2012C2—81no—
2013C2—82no—
2014C2—82no—
2015C2—82no—
2016C2—161no—
2017C2—161no—
2018C2D4×#12011yescharacteristic
2019C2#6105911yescharacteristic
2020C2#6107111yescharacteristic
2021C2#6107711yescharacteristic
2022C2#6108511yescharacteristic
2023C2#6109211yescharacteristic
2024C2#6109511yescharacteristic
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×#3275C2semidirect
3. C2×#3274C2semidirect
4. C2×#3265C2semidirect
5. #35757C2semidirect
6. #35680C2semidirect
7. #32939C2semidirect
8. #32885C2semidirect
9. #32884C2semidirect
10. #25797C2semidirect
11. #25794C2semidirect
12. #25777C2semidirect
13. #24368C2semidirect
14. #24366C2semidirect
15. #24364C2semidirect
16. #24362C2semidirect
17. #24359C2semidirect
18. #24356C2semidirect
19. #24277C2semidirect
20. #24276C2semidirect
21. #24271C2semidirect
22. #23871C2semidirect
23. #23860C2semidirect
24. #23858C2semidirect
25. #23857C2semidirect
26. #23850C2semidirect
27. #23849C2semidirect
28. C22⋊C4×SD16C2semidirect
29. #22444C2semidirect
30. #22443C2semidirect
31. #21445C2semidirect
32. C22×2−1+4C22semidirect
38. C22×#137C22semidirect
39. C22×#137C22semidirect
42. C22×AGL(1,ℤ/8)C22semidirect
43. C22×AGL(1,ℤ/8)C22semidirect
45. C22×#135C22semidirect
46. C22×#135C22semidirect
49. C23×SD16C22semidirect
50. C22×#131C22semidirect
51. C2×#550C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
60. C2×#496C22semidirect
61. C2×#495C22semidirect
62. C2×#493C22semidirect
63. C2×#470C22semidirect
64. C2×#469C22semidirect
65. C2×#469C22semidirect
66. C2×#469C22semidirect
67. C2×#468C22semidirect
68. C2×#466C22semidirect
69. C2×#464C22semidirect
70. C2×#460C22semidirect
71. C2×#460C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
74. C2×#459C22semidirect
75. C2×#452C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
81. C2×#449C22semidirect
82. C2×#449C22semidirect
83. C2×#449C22semidirect
84. C2×#448C22semidirect
85. C2×#448C22semidirect
86. C2×#448C22semidirect
87. C2×#450C22semidirect
88. C2×#450C22semidirect
91. C2×#447C22semidirect
92. C2×#447C22semidirect
93. C2×#440C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×C4×SD16C22semidirect
96. C2×#436C22semidirect
97. C2×#436C22semidirect
98. C2×#435C22semidirect
101. #2615C22semidirect
104. #2436C22semidirect
110. #2431C22semidirect
111. #2431C22semidirect
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. #2015C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2014C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
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. #1895C22semidirect
167. #1895C22semidirect
168. #1893C22semidirect
169. #1893C22semidirect
170. #1893C22semidirect
171. #1893C22semidirect
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
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
204. #1786C22semidirect
205. #1780C22semidirect
206. #1753C22semidirect
207. #1753C22semidirect
208. C8×C22⋊C4C22semidirect
255. C2×#137D4semidirect
267. C2×AGL(1,ℤ/8)D4semidirect
288. C22×SD16D4semidirect
661. C2×#41C2×D4semidirect
685. C22×Q8C2×D4semidirect
686. C22×Q8C2×D4semidirect
802. C2×Q16C2×D4semidirect
803. C2×Q16C2×D4semidirect
846. C2×SD16C2×D4semidirect
847. C2×SD16C2×D4semidirect
848. C2×SD16C2×D4semidirect
872. C2×D8C2×D4semidirect
884. C2×M16C2×D4semidirect
885. C2×M16C2×D4semidirect
894. C22×C8C2×D4semidirect
1504. SD16#120semidirect
1888. 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×#32752
C2×#32742
C2×#32652
#357572
#356802
#329392
#328852
#328842
#257972
#257942
#257772
#243682
#243662
#243642
#243622
#243592
#243562
#242772
#242762
#242712
#238712
#238602
#238582
#238572
#238502
#238492
C22⋊C4×SD162
#224442
#224432
#214452