Finite Group Databasebeta

← #7514005

Subgroups — #7514005

Order 512.

3363 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3269C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C2×#3006C211yesmaximal, characteristic, complemented
5#58996C211yesmaximal, characteristic, complemented
6#36213C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#30508C211yesmaximal, characteristic, complemented
9#30469C211yesmaximal, characteristic, complemented
10#30465C211yesmaximal, characteristic, complemented
11#25796C211yesmaximal, characteristic, complemented
12#25792C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25172C211yesmaximal, characteristic, complemented
15#25164C211yesmaximal, characteristic, complemented
16#25123C211yesmaximal, characteristic, complemented
17#25119C211yesmaximal, characteristic, complemented
18#25098C211yesmaximal, characteristic, complemented
19#25094C211yesmaximal, characteristic, complemented
20#24454C211yesmaximal, characteristic, complemented
21#24446C211yesmaximal, characteristic, complemented
22#24386C211yesmaximal, characteristic, complemented
23#24385C211yesmaximal, characteristic, complemented
24#24377C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#23871C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#22866C211yesmaximal, characteristic, complemented
30#22862C211yesmaximal, characteristic, complemented
31#22850C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×#137C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic
36C22×AGL(1,ℤ/8)C2211yescharacteristic
37C22×#135C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C2×#547C2211yescharacteristic
40C2×#547C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic
44C22×#121C2211yescharacteristic
45#3269—28no—
46#3267—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#467C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#462C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic, complemented
61#3007—28no—
62#3006—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#451C2211yescharacteristic, complemented
77C2×#451C2211yescharacteristic, complemented
78C2×#451C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic
80C2×#448C2211yescharacteristic
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#442C2211yescharacteristic, complemented
87C2×#440C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C2×#417C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#407C2211yescharacteristic
95C2×#407C2211yescharacteristic
96#2849—21no—
97#2848C2211yescharacteristic
98#2681—21no—
99#2676—21no—
100#2540C2211yescharacteristic
101#2472—21no—
102#2443—21no—
103#2437—21no—
104#2436C2211yescharacteristic, complemented
105#2435C2211yescharacteristic, complemented
106#2434C2211yescharacteristic, complemented
107#2432C2211yescharacteristic
108#2432C2211yescharacteristic, complemented
109#2430—21no—
110#2430—21no—
111#2427C2211yescharacteristic
112#2426C2211yescharacteristic
113#2417C2211yescharacteristic, complemented
114#2416—21no—
115#2416C2211yescharacteristic, complemented
116#2410—21no—
117#2410—21no—
118#2409C2211yescharacteristic, complemented
119#2407C2211yescharacteristic
120#2407C2211yescharacteristic
121#2407C2211yescharacteristic, complemented
122#2406—21no—
123#2406—21no—
124#2405—21no—
125#2361C2211yescharacteristic, complemented
126#2360C2211yescharacteristic, complemented
127#2339C2211yescharacteristic
128#2339C2211yescharacteristic, complemented
129D4×C22⋊C4—21no—
130D4×C22⋊C4C2211yescharacteristic, complemented
131C4×#120C2211yescharacteristic
132C2×#385—21no—
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2043C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2033C2211yescharacteristic
146#2033C2211yescharacteristic
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2015C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1969C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1935C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1927C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1924C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1894C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1872C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1753C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C24×C4—21no—
228C24×C4C2311yescharacteristic
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—42no—
233C2×#137—42no—
234C2×#137—42no—
235C2×AGL(1,ℤ/8)—24no—
236C2×AGL(1,ℤ/8)—24no—
237C2×AGL(1,ℤ/8)—24no—
238C2×AGL(1,ℤ/8)—42no—
239C2×AGL(1,ℤ/8)—42no—
240C2×AGL(1,ℤ/8)—42no—
241C2×#135—24no—
242C2×#135—24no—
243C2×#135—42no—
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×Q16C2311yescharacteristic
248C22×Q16C2311yescharacteristic
249C22×Q16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C23×C8C2311yescharacteristic
269#548—24no—
270#548—42no—
271#547—24no—
272#547—24no—
273#547—42no—
274#547—42no—
275#546—24no—
276#546—42no—
277#546—42no—
278#546—42no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#124—21no—
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—24no—
296C2×C22⋊Q8—42no—
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—24no—
316C2×#121—42no—
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120—21no—
324C2×#120—21no—
325C2×#120D411yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×D4—21no—
328C2×C4×D4—21no—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C22×C4⋊C4—21no—
337C22×C4⋊C4—21no—
338C22×C4⋊C4—21no—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C22⋊C4—21no—
342C22×C22⋊C4—21no—
343C22×C22⋊C4—21no—
344C22×C22⋊C4—21no—
345C22×C22⋊C4—21no—
346#497—24no—
347#497—24no—
348#495—42no—
349#470—24no—
350#470—42no—
351#468—24no—
352#468—42no—
353#467—24no—
354#465—24no—
355#463—24no—
356#463—24no—
357#463—42no—
358#462—24no—
359#461—24no—
360#452—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452D418yescomplemented
367#451—24no—
368#451—24no—
369#451—24no—
370#450—24no—
371#450—24no—
372#450—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—42no—
378#449D418yescomplemented
379#448—24no—
380#448—24no—
381#447—24no—
382#447—24no—
383#442—24no—
384#440—24no—
385#435—24no—
386#435—24no—
387C2×#107C2311yescharacteristic
388C2×#107C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394#417—24no—
395#417—24no—
396#417—24no—
397#417—24no—
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430#407—24no—
431#407—24no—
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×#97C2311yescharacteristic
444C2×#97C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446#399—21no—
447#398—21no—
448#397—21no—
449#396—21no—
450#396—21no—
451#396—21no—
452#395—21no—
453#395—21no—
454#395—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#393—21no—
468#393—21no—
469#393—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390—21no—
481#390—21no—
482#390—21no—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#389—21no—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#388—21no—
491#388—21no—
492#387—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386D411yescharacteristic
510#386D411yescharacteristic
511#386D411yescharacteristic
512#385—21no—
513#385—21no—
514#385—21no—
515#385—21no—
516#385—21no—
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385D411yescharacteristic
528#385D411yescharacteristic
529#385D411yescharacteristic
530#381—21no—
531#381—21no—
532#380—21no—
533#380—21no—
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#379—21no—
539#379—21no—
540#379—21no—
541#379—21no—
542#379D411yescharacteristic
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C2×#95—21no—
549C2×#95—21no—
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25C2×D411yescharacteristic
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—44no—
587C2×#41—44no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41—41no—
604C2×#41—41no—
605C2×#41—44no—
606C2×#41—44no—
607C2×#41—416no—
608C2×#41—416no—
609C2×#41—416no—
610C2×#41—416no—
611C2×#41C2×D414yes—
612C2×#41C2×D414yes—
613C22×Q8—21no—
614C22×Q8—21no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—41no—
621C22×Q8—41no—
622C22×Q8—41no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8C2411yescharacteristic
628C22×Q8C2411yescharacteristic
629C22×Q8C2411yescharacteristic
630C22×Q8C2411yescharacteristic
631C22×Q8C2411yescharacteristic
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—22no—
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—22no—
651C22×D4—21no—
652C22×D4—22no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—44no—
662C22×D4—44no—
663C22×D4—82no—
664C22×D4C2×D411yescharacteristic
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—22no—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4—44no—
692C23×C4—44no—
693C23×C4—44no—
694C23×C4C2×D411yescharacteristic
695C23×C4C2×D411yescharacteristic
696C23×C4C2×D411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701#137—416no—
702#137—416no—
703AGL(1,ℤ/8)—416no—
704AGL(1,ℤ/8)—416no—
705#135—416no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—22no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16—41no—
720C2×Q16—41no—
721C2×Q16—41no—
722C2×Q16—41no—
723C2×Q16C2×D414yescomplemented
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16C2×D414yes—
753C2×SD16C2×D414yescomplemented
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8C2×D414yes—
766C2×M16—22no—
767C2×M16—22no—
768C2×M16—22no—
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—22no—
772C2×M16—22no—
773C2×M16—22no—
774C2×M16—41no—
775C2×M16—41no—
776C2×M16—41no—
777C2×M16—41no—
778C22×C8—22no—
779C22×C8—22no—
780C22×C8—41no—
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C4⋊Q8—22no—
790C4⋊Q8—22no—
791C4⋊Q8—41no—
792C4⋊Q8—41no—
793#124—22no—
794#124—22no—
795#124—22no—
796#124—41no—
797#124—41no—
798#124—41no—
799#124—41no—
800#124—41no—
801#124—44no—
802#123—44no—
803#123—44no—
804#123—44no—
805#123—44no—
806#123—44no—
807#123—44no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—44no—
830C22⋊Q8C2×D414yes—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—44no—
839#121—44no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—82no—
850#121C2×D414yes—
851#120—42no—
852#120—44no—
853#120—44no—
854C4×Q8—22no—
855C4×Q8—41no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—44no—
871C4×D4—82no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—22no—
874C2×C4⋊C4—22no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4—41no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—44no—
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C42—21no—
966C2×C42—21no—
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969C2×C42C2411yescharacteristic
970#107—22no—
971#107—41no—
972#106—22no—
973#106—41no—
974C4⋊C8—22no—
975C4⋊C8—22no—
976C4⋊C8—41no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103C2×D414yes—
994#103C2×D414yescomplemented
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—41no—
1005#102—41no—
1006#102—41no—
1007#102C2×D414yes—
1008#102C2×D414yescomplemented
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—41no—
1018C22⋊C8C2×D414yes—
1019C22⋊C8C2×D414yes—
1020#97—22no—
1021#97—22no—
1022C4×C8—41no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048C24—21no—
1049C24—24no—
1050C24—21no—
1051C24—21no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059C24—41no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24C22×D411yescharacteristic
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076C24C22×D411yescharacteristic
1077#41—28no—
1078#41—28no—
1079#41—28no—
1080#41—28no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—432no—
1094#41—432no—
1095#41—44no—
1096#41—44no—
1097#41—82no—
1098#41—82no—
1099#41—82no—
1100#41—82no—
1101#41—82no—
1102#41—82no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—42no—
1131C2×Q8—42no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—81no—
1142C2×Q8—82no—
1143C2×Q8—82no—
1144C2×Q8C22×D412yes—
1145C2×Q8C22×D412yes—
1146C2×Q8C22×D412yes—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—432no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—816no—
1227C2×D4C22×D412yes—
1228C2×D4C22×D412yes—
1229C2×D4C22×D412yes—
1230C2×D4H(5,𝔽2)12yes—
1231C2×D4H(5,𝔽2)12yes—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—432no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—81no—
1311C22×C4—81no—
1312C22×C4—81no—
1313C22×C4—81no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4—81no—
1319C22×C4—81no—
1320C22×C4C22×D411yescharacteristic
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D412yes—
1331C22×C4C22×D412yes—
1332C22×C4H(5,𝔽2)12yes—
1333C22×C4H(5,𝔽2)12yes—
1334C22×C4C2511yescharacteristic
1335Q16—44no—
1336Q16—44no—
1337Q16—44no—
1338Q16—44no—
1339Q16—44no—
1340Q16—82no—
1341SD16—28no—
1342SD16—44no—
1343SD16—44no—
1344SD16—44no—
1345SD16—44no—
1346SD16—44no—
1347SD16—44no—
1348SD16—44no—
1349SD16—44no—
1350SD16—82no—
1351D8—28no—
1352D8—44no—
1353D8—44no—
1354D8—44no—
1355M16—44no—
1356M16—44no—
1357M16—44no—
1358M16—44no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—44no—
1380C2×C8C22×D412yes—
1381C2×C8C22×D412yes—
1382C2×C8C22×D412yes—
1383C2×C8C22×D412yes—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—81no—
1417C4⋊C4—81no—
1418C4⋊C4C22×D412yes—
1419C4⋊C4C22×D412yes—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
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—81no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C22⋊C4—81no—
1467C22⋊C4—81no—
1468C22⋊C4—81no—
1469C22⋊C4—81no—
1470C22⋊C4—81no—
1471C22⋊C4—81no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—21no—
1477C42—21no—
1478C42—42no—
1479C42—81no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—48no—
1514C23—48no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—84no—
1542C23—84no—
1543C23—84no—
1544C23—84no—
1545C23—84no—
1546C23—82no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—162no—
1552C23—162no—
1553C23—162no—
1554C23D4212yes—
1555C23D4212yes—
1556C23#57512yes—
1557C23C23×D411yescharacteristic
1558Q8—22no—
1559Q8—22no—
1560Q8—22no—
1561Q8—22no—
1562Q8—22no—
1563Q8—22no—
1564Q8—48no—
1565Q8—41no—
1566Q8—41no—
1567Q8—41no—
1568Q8—41no—
1569Q8—41no—
1570Q8—41no—
1571Q8—41no—
1572Q8—41no—
1573Q8—41no—
1574Q8—41no—
1575Q8—41no—
1576Q8—41no—
1577Q8—41no—
1578Q8—41no—
1579Q8—84no—
1580D4—22no—
1581D4—22no—
1582D4—22no—
1583D4—22no—
1584D4—22no—
1585D4—22no—
1586D4—22no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—48no—
1592D4—48no—
1593D4—41no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—84no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—162no—
1611D4—162no—
1612D4D4214yes—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—84no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—162no—
1709C2×C4—162no—
1710C2×C4D4212yes—
1711C2×C4D4212yes—
1712C2×C4C23×D411yescharacteristic
1713C2×C4C23×D411yescharacteristic
1714C2×C4C2×H(5,𝔽2)11yescharacteristic
1715C2×C4C2×H(5,𝔽2)11yescharacteristic
1716C2×C4C2×H(5,𝔽2)11yescharacteristic
1717C2×C4C2×H(5,𝔽2)11yescharacteristic
1718C8—22no—
1719C8—22no—
1720C8—22no—
1721C8—22no—
1722C8—41no—
1723C8—41no—
1724C8—41no—
1725C8—41no—
1726C22—22no—
1727C22—22no—
1728C22—24no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—41no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—88no—
1768C22—816no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—168no—
1785C22C2×D4211yescharacteristic
1786C22C2×D4211yescharacteristic
1787C22#348411yescharacteristic
1788C22C2×#57511yescharacteristic
1789C22#358511yescharacteristic
1790C22#358611yescharacteristic
1791C22#358611yescharacteristic
1792C4—22no—
1793C4—22no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—81no—
1808C4—81no—
1809C4—81no—
1810C4—81no—
1811C4—81no—
1812C4—81no—
1813C4—81no—
1814C4C2×D4211yescharacteristic
1815C4#348411yescharacteristic
1816C4#348411yescharacteristic
1817C4#353211yescharacteristic
1818C2—42no—
1819C2—42no—
1820C2—42no—
1821C2—44no—
1822C2—81no—
1823C2—82no—
1824C2—82no—
1825C2—161no—
1826C2#5899011yescharacteristic
1827C2#6106211yescharacteristic
1828C2#6106411yescharacteristic
1829C2#6106611yescharacteristic
1830C2#6106811yescharacteristic
1831C2#6157511yescharacteristic
1832C2#6164711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3269C2semidirect
2. C2×#3267C2semidirect
3. C2×#3007C2semidirect
4. C2×#3006C2semidirect
5. #58996C2semidirect
6. #36213C2semidirect
7. #31061C2semidirect
8. #30508C2semidirect
9. #30469C2semidirect
10. #30465C2semidirect
11. #25796C2semidirect
12. #25792C2semidirect
13. #25762C2semidirect
14. #25172C2semidirect
15. #25164C2semidirect
16. #25123C2semidirect
17. #25119C2semidirect
18. #25098C2semidirect
19. #25094C2semidirect
20. #24454C2semidirect
21. #24446C2semidirect
22. #24386C2semidirect
23. #24385C2semidirect
24. #24377C2semidirect
25. #24373C2semidirect
26. #23871C2semidirect
27. #23863C2semidirect
28. #23850C2semidirect
29. #22866C2semidirect
30. #22862C2semidirect
31. #22850C2semidirect
33. C22×#137C22semidirect
34. C22×#137C22semidirect
37. C22×#135C22semidirect
38. C2×#548C22semidirect
40. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
49. C2×#495C22semidirect
50. C2×#470C22semidirect
51. C2×#470C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#462C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
60. C2×#461C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#451C22semidirect
77. C2×#451C22semidirect
78. C2×#451C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
83. C2×#450C22semidirect
86. C2×#442C22semidirect
87. C2×#440C22semidirect
88. C2×#435C22semidirect
89. C2×#435C22semidirect
92. C2×#417C22semidirect
93. C2×#417C22semidirect
104. #2436C22semidirect
105. #2435C22semidirect
106. #2434C22semidirect
108. #2432C22semidirect
113. #2417C22semidirect
115. #2416C22semidirect
118. #2409C22semidirect
121. #2407C22semidirect
125. #2361C22semidirect
126. #2360C22semidirect
128. #2339C22semidirect
130. D4×C22⋊C4C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2043C22semidirect
140. #2043C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2035C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2015C22semidirect
153. #2013C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1972C22semidirect
168. #1969C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1935C22semidirect
173. #1928C22semidirect
174. #1927C22semidirect
175. #1924C22semidirect
176. #1924C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1894C22semidirect
181. #1893C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1872C22semidirect
191. #1872C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1853C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. #1753C22semidirect
366. #452D4semidirect
378. #449D4semidirect
723. C2×Q16C2×D4semidirect
753. C2×SD16C2×D4semidirect
994. #103C2×D4semidirect
1008. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32692
C2×#32672
C2×#30072
C2×#30062
#589962
#362132
#310612
#305082
#304692
#304652
#257962
#257922
#257622
#251722
#251642
#251232
#251192
#250982
#250942
#244542
#244462
#243862
#243852
#243772
#243732
#238712
#238632
#238502
#228662
#228622
#228502