Finite Group Databasebeta

← #7514052

Subgroups — #7514052

Order 512.

3297 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3266C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3C2×#3013C211yesmaximal, characteristic, complemented
4C2×#3010C211yesmaximal, characteristic, complemented
5#44868C211yesmaximal, characteristic, complemented
6#35687C211yesmaximal, characteristic, complemented
7#31063C211yesmaximal, characteristic, complemented
8#30502C211yesmaximal, characteristic, complemented
9#30471C211yesmaximal, characteristic, complemented
10#30470C211yesmaximal, characteristic, complemented
11#25787C211yesmaximal, characteristic, complemented
12#25784C211yesmaximal, characteristic, complemented
13#25766C211yesmaximal, characteristic, complemented
14#25177C211yesmaximal, characteristic, complemented
15#25165C211yesmaximal, characteristic, complemented
16#25118C211yesmaximal, characteristic, complemented
17#25117C211yesmaximal, characteristic, complemented
18#25104C211yesmaximal, characteristic, complemented
19#25099C211yesmaximal, characteristic, complemented
20#24433C211yesmaximal, characteristic, complemented
21#24429C211yesmaximal, characteristic, complemented
22#24394C211yesmaximal, characteristic, complemented
23#24393C211yesmaximal, characteristic, complemented
24#24371C211yesmaximal, characteristic, complemented
25#24368C211yesmaximal, characteristic, complemented
26#23855C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#22857C211yesmaximal, characteristic, complemented
30#22855C211yesmaximal, characteristic, complemented
31#22851C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic
37C23×SD16C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic
41C2×#546C2211yescharacteristic
42C2×D42C2211yescharacteristic
43C2×#537C2211yescharacteristic
44C2×#535C2211yescharacteristic
45#3266—28no—
46#3265—28no—
47C2×#497C2211yescharacteristic
48C2×#497C2211yescharacteristic, complemented
49C2×#496C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#467C2211yescharacteristic, complemented
53C2×#467C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic
57C2×#464C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic
59C2×#463C2211yescharacteristic
60C2×#461C2211yescharacteristic, complemented
61#3013—28no—
62#3010—28no—
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#451C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#451C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic
76C2×#448C2211yescharacteristic
77C2×#448C2211yescharacteristic
78C2×#448C2211yescharacteristic
79C2×#448C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#450C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#440C2211yescharacteristic
87C2×#440C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic
89C2×#435C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2678—21no—
97#2672—21no—
98#2669—21no—
99#2668—21no—
100#2616—21no—
101#2616C2211yescharacteristic, complemented
102#2540C2211yescharacteristic
103#2472—21no—
104#2435C2211yescharacteristic
105#2434—21no—
106#2434C2211yescharacteristic, complemented
107#2432—21no—
108#2432—21no—
109#2432C2211yescharacteristic, complemented
110#2432C2211yescharacteristic, complemented
111#2431C2211yescharacteristic
112#2428—21no—
113#2428C2211yescharacteristic
114#2427C2211yescharacteristic
115#2416C2211yescharacteristic
116#2415C2211yescharacteristic
117#2410—21no—
118#2409—21no—
119#2409C2211yescharacteristic
120#2408—21no—
121#2408C2211yescharacteristic
122#2407—21no—
123#2407—21no—
124#2407C2211yescharacteristic, complemented
125#2407C2211yescharacteristic, complemented
126#2388—21no—
127#2388C2211yescharacteristic
128#2363C2211yescharacteristic
129#2361C2211yescharacteristic
130#2341C2211yescharacteristic, complemented
131Q8×C22⋊C4C2211yescharacteristic, complemented
132Q8×C22⋊C4C2211yescharacteristic, complemented
133#2068C2211yescharacteristic, complemented
134#2068C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2034C2211yescharacteristic
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2014C2211yescharacteristic
151#2014C2211yescharacteristic
152#2013C2211yescharacteristic
153#2013C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2012C2211yescharacteristic
156#2012C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1981C2211yescharacteristic, complemented
166#1973C2211yescharacteristic
167#1973C2211yescharacteristic, complemented
168#1972C2211yescharacteristic, complemented
169#1971C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1935C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1924C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic
180#1893C2211yescharacteristic
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic
188#1877C2211yescharacteristic
189#1877C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204#1763C2211yescharacteristic, complemented
205#1752C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8—21no—
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×D4—21no—
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—42no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—42no—
235C2×#135—24no—
236C2×#135—42no—
237C2×#135—42no—
238C22×Q16C2311yescharacteristic
239C22×Q16C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×SD16—24no—
243C22×SD16—24no—
244C22×SD16—24no—
245C22×SD16—42no—
246C22×SD16—42no—
247C22×SD16—42no—
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269D4×Q8—24no—
270D4×Q8—42no—
271D4×Q8—42no—
272D4×Q8—42no—
273#548—24no—
274#548—42no—
275#546—24no—
276#546—42no—
277D42—24no—
278D42—42no—
279#537—24no—
280#537—42no—
281#535—24no—
282#535—42no—
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8—21no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×#127—21no—
288C2×#127C2311yescharacteristic
289C2×#124—21no—
290C2×#124—21no—
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#123—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4—21no—
346#497—24no—
347#497—42no—
348#496—24no—
349#468—24no—
350#468—24no—
351#467—24no—
352#467—42no—
353#466—24no—
354#465—42no—
355#464—24no—
356#464—42no—
357#463—24no—
358#461—24no—
359#460—24no—
360#452—24no—
361#452—24no—
362#452—24no—
363#451—24no—
364#451—24no—
365#451—24no—
366#450—24no—
367#450—24no—
368#450—42no—
369#449—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449D418yescomplemented
375#448—24no—
376#448—24no—
377#448—24no—
378#448—24no—
379#448—24no—
380#448—24no—
381#448D418yescomplemented
382#447—24no—
383#440—24no—
384#440—24no—
385#435—24no—
386#435—24no—
387C2×#107C2311yescharacteristic
388C2×#107C2311yescharacteristic
389C2×#107C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394#419—24no—
395#417—24no—
396#416—24no—
397C2×#103—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×#103C2311yescharacteristic
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#408—24no—
431#408—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×#97C2311yescharacteristic
446#399—21no—
447#397—21no—
448#397—21no—
449#396—21no—
450#395—21no—
451#395—21no—
452#395—21no—
453#395—21no—
454#395D411yescharacteristic
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#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394D411yescharacteristic
472#394D411yescharacteristic
473#394D411yescharacteristic
474#393—21no—
475#393D411yescharacteristic
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392D411yescharacteristic
484#392D411yescharacteristic
485#392D411yescharacteristic
486#391—21no—
487#391—21no—
488#391—21no—
489#391—21no—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#390—21no—
496#390—21no—
497#390—21no—
498#390—21no—
499#390—21no—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#389—21no—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#388—21no—
509#388—21no—
510#388—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#380—21no—
532#380—21no—
533#380—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541#379—21no—
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
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—
5662−1+4—416no—
5672−1+4—416no—
5682−1+4—416no—
5692−1+4—416no—
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—41no—
587C2×#41—41no—
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—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—44no—
601C2×#41—44no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—44no—
605C2×#41—44no—
606C2×#41—44no—
607C2×#41—44no—
608C2×#41C2×D414yes—
609C22×Q8—22no—
610C22×Q8—22no—
611C22×Q8—21no—
612C22×Q8—21no—
613C22×Q8—21no—
614C22×Q8—21no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—22no—
622C22×Q8—22no—
623C22×Q8—22no—
624C22×Q8—22no—
625C22×Q8—22no—
626C22×Q8—22no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—41no—
632C22×Q8—41no—
633C22×Q8—41no—
634C22×Q8—41no—
635C22×Q8—41no—
636C22×Q8—44no—
637C22×Q8—44no—
638C22×Q8—44no—
639C22×Q8C2×D411yescharacteristic
640C22×Q8C2×D414yescomplemented
641C22×Q8C2411yescharacteristic
642C22×Q8C2411yescharacteristic
643C22×Q8C2411yescharacteristic
644C22×Q8C2411yescharacteristic
645C22×Q8C2411yescharacteristic
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—22no—
650C22×D4—22no—
651C22×D4—22no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—21no—
661C22×D4—22no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—21no—
666C22×D4—22no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—41no—
672C22×D4—41no—
673C22×D4—41no—
674C22×D4—44no—
675C22×D4—82no—
676C22×D4—82no—
677C22×D4C2×D411yescharacteristic
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2×D411yescharacteristic
682C22×D4C2×D411yescharacteristic
683C22×D4C2411yescharacteristic
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702#137—416no—
703AGL(1,ℤ/8)—416no—
704#135—416no—
705C2×Q16—22no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×SD16—22no—
718C2×SD16—22no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
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—41no—
740C2×SD16—41no—
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×SD16—41no—
753C2×SD16—416no—
754C2×SD16—416no—
755C2×SD16C2×D414yes—
756C2×SD16C2×D414yes—
757C2×SD16C2×D414yes—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8C2×D414yes—
767C2×M16—22no—
768C2×M16—22no—
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—41no—
772C2×M16—41no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—22no—
776C22×C8—22no—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8—41no—
780C22×C8—41no—
781C22×C8—41no—
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C4⋊Q8—22no—
791C4⋊Q8—22no—
792C4⋊Q8—41no—
793C4⋊Q8—41no—
794C4⋊Q8—44no—
795C4⋊Q8—44no—
796#127—22no—
797#127—41no—
798#127—44no—
799#124—22no—
800#124—22no—
801#124—41no—
802#124—41no—
803#124—41no—
804#124—41no—
805#124—44no—
806#124—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—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—82no—
851#121—82no—
852#121C2×D414yes—
853#121C2×D414yes—
854#120—44no—
855#120—44no—
856#120—44no—
857#120—44no—
858#120—44no—
859#120—82no—
860C4×Q8—22no—
861C4×Q8—22no—
862C4×Q8—22no—
863C4×Q8—41no—
864C4×Q8—41no—
865C4×Q8—41no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—82no—
880#117—22no—
881#117—41no—
882C2×C4⋊C4—22no—
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—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
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—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42—21no—
969C2×C42C2411yescharacteristic
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972#107—22no—
973#107—22no—
974#107—41no—
975#106—41no—
976C4⋊C8—22no—
977C4⋊C8—22no—
978C4⋊C8—41no—
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—22no—
989#103—22no—
990#103—22no—
991#103—41no—
992#103—41no—
993#103—41no—
994#103—41no—
995#103C2×D414yes—
996#103C2×D414yescomplemented
997#103C2×D414yescomplemented
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—41no—
1007#102—41no—
1008#102—41no—
1009#102—41no—
1010#102C2×D414yes—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—41no—
1020C22⋊C8C2×D414yes—
1021C22⋊C8C2×D414yescomplemented
1022#97—22no—
1023#97—22no—
1024#97—41no—
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—21no—
1050C24—21no—
1051C24—21no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24C22×D411yescharacteristic
1067C24C22×D411yescharacteristic
1068C24C22×D411yescharacteristic
1069C24C22×D411yescharacteristic
1070#41—28no—
1071#41—28no—
1072#41—44no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—432no—
1088#41—432no—
1089#41—432no—
1090#41—44no—
1091#41—82no—
1092#41—82no—
1093C2×Q8—24no—
1094C2×Q8—22no—
1095C2×Q8—24no—
1096C2×Q8—22no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—28no—
1103C2×Q8—28no—
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—41no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×Q8—42no—
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—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—432no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—82no—
1148C2×Q8—82no—
1149C2×Q8—82no—
1150C2×Q8C22×D412yes—
1151C2×Q8C22×D412yes—
1152C2×Q8C22×D412yes—
1153C2×Q8H(5,𝔽2)12yes—
1154C2×Q8H(5,𝔽2)12yes—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—816no—
1251C2×D4C22×D412yes—
1252C2×D4C22×D412yes—
1253C2×D4C22×D412yes—
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—24no—
1264C22×C4—24no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—24no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
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—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—81no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4—81no—
1319C22×C4C22×D411yescharacteristic
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×D412yes—
1330C22×C4C22×D412yes—
1331C22×C4H(5,𝔽2)12yes—
1332C22×C4H(5,𝔽2)12yes—
1333C22×C4C2511yescharacteristic
1334Q16—44no—
1335Q16—44no—
1336Q16—44no—
1337Q16—82no—
1338SD16—28no—
1339SD16—28no—
1340SD16—44no—
1341SD16—44no—
1342SD16—44no—
1343SD16—44no—
1344SD16—44no—
1345SD16—44no—
1346SD16—44no—
1347SD16—44no—
1348SD16—44no—
1349SD16—44no—
1350SD16—82no—
1351D8—44no—
1352D8—44no—
1353D8—44no—
1354M16—44no—
1355M16—44no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
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—44no—
1377C2×C8—44no—
1378C2×C8—44no—
1379C2×C8C22×D412yes—
1380C2×C8C22×D412yes—
1381C2×C8C22×D412yes—
1382C2×C8C22×D412yes—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
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—41no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
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—81no—
1416C4⋊C4C22×D412yes—
1417C4⋊C4C22×D412yes—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
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—81no—
1457C22⋊C4—81no—
1458C22⋊C4—81no—
1459C22⋊C4—81no—
1460C22⋊C4—81no—
1461C22⋊C4—81no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C22⋊C4—81no—
1467C22⋊C4—81no—
1468C22⋊C4—81no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
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—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
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—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23D4212yes—
1548C23D4212yes—
1549C23#57712yes—
1550C23C23×D411yescharacteristic
1551Q8—22no—
1552Q8—22no—
1553Q8—22no—
1554Q8—22no—
1555Q8—22no—
1556Q8—22no—
1557Q8—22no—
1558Q8—44no—
1559Q8—48no—
1560Q8—48no—
1561Q8—48no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—41no—
1567Q8—41no—
1568Q8—41no—
1569Q8—41no—
1570Q8—41no—
1571Q8—41no—
1572Q8—41no—
1573Q8—41no—
1574Q8—84no—
1575Q8D4214yes—
1576D4—22no—
1577D4—22no—
1578D4—22no—
1579D4—22no—
1580D4—22no—
1581D4—22no—
1582D4—44no—
1583D4—44no—
1584D4—48no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—48no—
1590D4—48no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—162no—
1610D4—162no—
1611D4—162no—
1612D4—162no—
1613D4—162no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
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—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—48no—
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—84no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—162no—
1704C2×C4—162no—
1705C2×C4D4212yes—
1706C2×C4D4212yes—
1707C2×C4C23×D411yescharacteristic
1708C2×C4C23×D411yescharacteristic
1709C2×C4C2×H(5,𝔽2)11yescharacteristic
1710C2×C4C2×H(5,𝔽2)11yescharacteristic
1711C2×C4C2×H(5,𝔽2)11yescharacteristic
1712C2×C4C2×H(5,𝔽2)11yescharacteristic
1713C8—22no—
1714C8—22no—
1715C8—22no—
1716C8—22no—
1717C8—41no—
1718C8—41no—
1719C8—41no—
1720C8—41no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—41no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—168no—
1778C22—168no—
1779C22C2×D4211yescharacteristic
1780C22C2×D4211yescharacteristic
1781C22#348411yescharacteristic
1782C22C2×#57711yescharacteristic
1783C22#358511yescharacteristic
1784C22#358611yescharacteristic
1785C22#358611yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—42no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—81no—
1802C4—81no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4—81no—
1808C4C2×D4211yescharacteristic
1809C4#348411yescharacteristic
1810C4#348411yescharacteristic
1811C4#353211yescharacteristic
1812C2—42no—
1813C2—42no—
1814C2—42no—
1815C2—81no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2—161no—
1820C2#5899011yescharacteristic
1821C2#6107111yescharacteristic
1822C2#6107511yescharacteristic
1823C2#6108011yescharacteristic
1824C2#6108311yescharacteristic
1825C2#6161111yescharacteristic
1826C2#6167111yescharacteristic
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. C2×#3266C2semidirect
2. C2×#3265C2semidirect
3. C2×#3013C2semidirect
4. C2×#3010C2semidirect
5. #44868C2semidirect
6. #35687C2semidirect
7. #31063C2semidirect
8. #30502C2semidirect
9. #30471C2semidirect
10. #30470C2semidirect
11. #25787C2semidirect
12. #25784C2semidirect
13. #25766C2semidirect
14. #25177C2semidirect
15. #25165C2semidirect
16. #25118C2semidirect
17. #25117C2semidirect
18. #25104C2semidirect
19. #25099C2semidirect
20. #24433C2semidirect
21. #24429C2semidirect
22. #24394C2semidirect
23. #24393C2semidirect
24. #24371C2semidirect
25. #24368C2semidirect
26. #23855C2semidirect
27. #23850C2semidirect
28. #23849C2semidirect
29. #22857C2semidirect
30. #22855C2semidirect
31. #22851C2semidirect
32. C22×2−1+4C22semidirect
33. C22×#137C22semidirect
35. C22×#135C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
48. C2×#497C22semidirect
52. C2×#467C22semidirect
53. C2×#467C22semidirect
55. C2×#465C22semidirect
57. C2×#464C22semidirect
60. C2×#461C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#451C22semidirect
73. C2×#451C22semidirect
74. C2×#451C22semidirect
79. C2×#448C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
87. C2×#440C22semidirect
89. C2×#435C22semidirect
90. C2×#417C22semidirect
91. C2×#419C22semidirect
92. C2×#416C22semidirect
93. C22×#103C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
101. #2616C22semidirect
106. #2434C22semidirect
109. #2432C22semidirect
110. #2432C22semidirect
124. #2407C22semidirect
125. #2407C22semidirect
130. #2341C22semidirect
131. Q8×C22⋊C4C22semidirect
132. Q8×C22⋊C4C22semidirect
133. #2068C22semidirect
134. #2068C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
153. #2013C22semidirect
154. #2013C22semidirect
156. #2012C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1981C22semidirect
167. #1973C22semidirect
168. #1972C22semidirect
169. #1971C22semidirect
170. #1955C22semidirect
171. #1936C22semidirect
172. #1935C22semidirect
173. #1928C22semidirect
174. #1925C22semidirect
175. #1924C22semidirect
176. #1924C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
181. #1892C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1879C22semidirect
186. #1878C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1872C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
204. #1763C22semidirect
205. #1752C22semidirect
206. #1752C22semidirect
374. #449D4semidirect
381. #448D4semidirect
640. C22×Q8C2×D4semidirect
996. #103C2×D4semidirect
997. #103C2×D4semidirect
1021. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32662
C2×#32652
C2×#30132
C2×#30102
#448682
#356872
#310632
#305022
#304712
#304702
#257872
#257842
#257662
#251772
#251652
#251182
#251172
#251042
#250992
#244332
#244292
#243942
#243932
#243712
#243682
#238552
#238502
#238492
#228572
#228552
#228512