Finite Group Databasebeta

← #7514019

Subgroups — #7514019

Order 512.

3257 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3270C211yesmaximal, characteristic, complemented
2C2×#3270C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C2×#3005C211yesmaximal, characteristic, complemented
5#59005C211yesmaximal, characteristic, complemented
6#36428C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#30503C211yesmaximal, characteristic, complemented
9#30467C211yesmaximal, characteristic, complemented
10#30466C211yesmaximal, characteristic, complemented
11#25796C211yesmaximal, characteristic, complemented
12#25792C211yesmaximal, characteristic, complemented
13#25761C211yesmaximal, characteristic, complemented
14#25175C211yesmaximal, characteristic, complemented
15#25171C211yesmaximal, characteristic, complemented
16#25123C211yesmaximal, characteristic, complemented
17#25120C211yesmaximal, characteristic, complemented
18#25105C211yesmaximal, characteristic, complemented
19#25098C211yesmaximal, characteristic, complemented
20#24453C211yesmaximal, characteristic, complemented
21#24441C211yesmaximal, characteristic, complemented
22#24389C211yesmaximal, characteristic, complemented
23#24386C211yesmaximal, characteristic, complemented
24#24375C211yesmaximal, characteristic, complemented
25#24369C211yesmaximal, characteristic, complemented
26#23868C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23859C211yesmaximal, characteristic, complemented
29#22869C211yesmaximal, characteristic, complemented
30#22867C211yesmaximal, characteristic, complemented
31#22850C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C22×#137C2211yescharacteristic
36C22×AGL(1,ℤ/8)C2211yescharacteristic
37C23×Q16C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45#3270—28no—
46#3270—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic
51C2×#470C2211yescharacteristic
52C2×#470C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic, complemented
59C2×#462C2211yescharacteristic, complemented
60C2×#462C2211yescharacteristic, complemented
61#3007—28no—
62#3005—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic
70C2×#452C2211yescharacteristic
71C2×#452C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic
75C2×#449C2211yescharacteristic
76C2×#451C2211yescharacteristic
77C2×#451C2211yescharacteristic
78C2×#451C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#441C2211yescharacteristic, complemented
87C2×#441C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic
89C2×#435C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C2×#419C2211yescharacteristic
93C2×#418C2211yescharacteristic
94C2×#407C2211yescharacteristic
95C2×#407C2211yescharacteristic
96#2848—21no—
97#2848C2211yescharacteristic
98#2681—21no—
99#2674—21no—
100#2540C2211yescharacteristic, complemented
101#2472—21no—
102#2463—21no—
103#2452—21no—
104#2449—21no—
105#2436C2211yescharacteristic, complemented
106#2435—21no—
107#2435C2211yescharacteristic
108#2432—21no—
109#2432—21no—
110#2432C2211yescharacteristic
111#2432C2211yescharacteristic
112#2432C2211yescharacteristic
113#2429C2211yescharacteristic, complemented
114#2426C2211yescharacteristic, complemented
115#2424—21no—
116#2416C2211yescharacteristic, complemented
117#2415C2211yescharacteristic
118#2409C2211yescharacteristic, complemented
119#2408—21no—
120#2408C2211yescharacteristic
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic
125#2362C2211yescharacteristic
126#2361—21no—
127#2360C2211yescharacteristic, complemented
128#2341C2211yescharacteristic
129#2341C2211yescharacteristic
130Q8×C22⋊C4C2211yescharacteristic
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2065C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2016C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2001C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1969C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1935C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1924C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic
179#1894C2211yescharacteristic
180#1894C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1873C2211yescharacteristic
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic
198#1853C2211yescharacteristic, complemented
199#1851C2211yescharacteristic
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1787C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204C4×#103C2211yescharacteristic, complemented
205#1753C2211yescharacteristic
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
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C24×C4—21no—
227C24×C4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—24no—
233C2×#137—42no—
234C2×#137—42no—
235C2×#137—42no—
236C2×#137—42no—
237C2×AGL(1,ℤ/8)—24no—
238C2×AGL(1,ℤ/8)—42no—
239C2×AGL(1,ℤ/8)—42no—
240C22×Q16—24no—
241C22×Q16—24no—
242C22×Q16—42no—
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×Q16C2311yescharacteristic
248C22×Q16C2311yescharacteristic
249C22×Q16C2311yescharacteristic
250C22×Q16C2311yescharacteristic
251C22×Q16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C23×C8C2311yescharacteristic
268D4×Q8—24no—
269D4×Q8—24no—
270D4×Q8—42no—
271D4×Q8—42no—
272#548—24no—
273#548—24no—
274#548—42no—
275#548—42no—
276#548—42no—
277#548—42no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289#525—24no—
290#525—42no—
291C2×#123—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—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⋊Q8—24no—
302C2×C22⋊Q8—42no—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120—21no—
324C2×#120—21no—
325C2×#120D411yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×D4—21no—
332C2×C4×D4—21no—
333C2×C4×D4—21no—
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×#117C2311yescharacteristic
342C22×C4⋊C4—21no—
343C22×C4⋊C4C2311yescharacteristic
344C22×C22⋊C4—21no—
345#497—24no—
346#497—24no—
347#495—42no—
348#470—24no—
349#470—24no—
350#470—42no—
351#468—42no—
352#465—24no—
353#465—24no—
354#464—24no—
355#464—24no—
356#464—42no—
357#462—24no—
358#462—24no—
359#452—24no—
360#452—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452D418yescomplemented
368#451—24no—
369#451—24no—
370#451—24no—
371#451—24no—
372#451D418yescomplemented
373#450—24no—
374#450—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#448—24no—
380#448—24no—
381#448—42no—
382#441—24no—
383#441—24no—
384#435—24no—
385#435—24no—
386C2×#107C2311yescharacteristic
387C2×#106C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393#419—24no—
394#418—24no—
395#417—24no—
396#417—24no—
397C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429#407—24no—
430#407—24no—
431C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
443C2×#97C2311yescharacteristic
444C2×C4×C8C2311yescharacteristic
445#399—21no—
446#398—21no—
447#397—21no—
448#396—21no—
449#396—21no—
450#396—21no—
451#395—21no—
452#394—21no—
453#394—21no—
454#394—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#393—21no—
467#393—21no—
468#393—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#391—21no—
474#391—21no—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#389—21no—
493#389—21no—
494#389—21no—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388—21no—
498#388—21no—
499#388—21no—
500#388—21no—
501#388—21no—
502#387—21no—
503#387—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386D411yescharacteristic
511#386D411yescharacteristic
512#386D411yescharacteristic
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#385D411yescharacteristic
527#385D411yescharacteristic
528#385D411yescharacteristic
529#380—21no—
530#380—21no—
531#380—21no—
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#379—21no—
537#379—21no—
538#379—21no—
539#379—21no—
540#379D411yescharacteristic
541C4×C4⋊C4—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—
565C25C2×D411yescharacteristic
566C2×#41—22no—
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—44no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
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—44no—
595C2×#41—44no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—44no—
601C2×#41—416no—
602C2×#41—416no—
603C2×#41—416no—
604C2×#41—416no—
605C2×#41C2×D414yes—
606C22×Q8—21no—
607C22×Q8—21no—
608C22×Q8—21no—
609C22×Q8—21no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—41no—
622C22×Q8—41no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—41no—
632C22×Q8—41no—
633C22×Q8C2×D414yes—
634C22×Q8C2411yescharacteristic
635C22×Q8C2411yescharacteristic
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×Q8C2411yescharacteristic
639C22×Q8C2411yescharacteristic
640C22×D4—22no—
641C22×D4—22no—
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—21no—
651C22×D4—21no—
652C22×D4—22no—
653C22×D4—21no—
654C22×D4—22no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4C2×D411yescharacteristic
661C22×D4C2×D411yescharacteristic
662C22×D4C2×D411yescharacteristic
663C22×D4C2411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—22no—
670C23×C4—22no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—41no—
681C23×C4—41no—
682C23×C4—44no—
683C23×C4—44no—
684C23×C4—44no—
685C23×C4C2×D411yescharacteristic
686C23×C4C2×D411yescharacteristic
687C23×C4C2×D411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692#137—416no—
693#137—416no—
694#137—416no—
695AGL(1,ℤ/8)—416no—
696C2×Q16—22no—
697C2×Q16—22no—
698C2×Q16—22no—
699C2×Q16—22no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
704C2×Q16—22no—
705C2×Q16—22no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—41no—
712C2×Q16—41no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16—41no—
720C2×Q16—416no—
721C2×Q16C2×D414yes—
722C2×Q16C2×D414yes—
723C2×Q16C2×D414yes—
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—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×SD16C2×D414yes—
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—41no—
755C2×D8—41no—
756C2×D8—41no—
757C2×M16—22no—
758C2×M16—22no—
759C2×M16—22no—
760C2×M16—22no—
761C2×M16—22no—
762C2×M16—22no—
763C2×M16—22no—
764C2×M16—22no—
765C2×M16—41no—
766C2×M16—41no—
767C2×M16—41no—
768C2×M16—41no—
769C22×C8—22no—
770C22×C8—22no—
771C22×C8—41no—
772C22×C8C2411yescharacteristic
773C22×C8C2411yescharacteristic
774C22×C8C2411yescharacteristic
775C22×C8C2411yescharacteristic
776C22×C8C2411yescharacteristic
777C22×C8C2411yescharacteristic
778C22×C8C2411yescharacteristic
779C22×C8C2411yescharacteristic
780C4⋊Q8—22no—
781C4⋊Q8—22no—
782C4⋊Q8—41no—
783C4⋊Q8—41no—
784C4⋊Q8—44no—
785C4⋊Q8—44no—
786#124—22no—
787#124—22no—
788#124—22no—
789#124—41no—
790#124—41no—
791#124—41no—
792#124—41no—
793#124—41no—
794#124—44no—
795#124—44no—
796#124—44no—
797#123—44no—
798C22⋊Q8—22no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—22no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—41no—
818C22⋊Q8—41no—
819C22⋊Q8—41no—
820C22⋊Q8—41no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8C2×D414yes—
828C22⋊Q8C2×D414yes—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—44no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—44no—
841#121—44no—
842#121—44no—
843#120—44no—
844#120—42no—
845#120—44no—
846C4×Q8—22no—
847C4×Q8—22no—
848C4×Q8—22no—
849C4×Q8—22no—
850C4×Q8—22no—
851C4×Q8—41no—
852C4×Q8—41no—
853C4×Q8—41no—
854C4×Q8—41no—
855C4×Q8—41no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869#117—22no—
870#117—41no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—22no—
874C2×C4⋊C4—21no—
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—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C22⋊C4—21no—
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—44no—
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—21no—
964C2×C42—21no—
965C2×C42—21no—
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969#107—41no—
970#106—22no—
971#106—22no—
972#106—41no—
973C4⋊C8—22no—
974C4⋊C8—22no—
975C4⋊C8—41no—
976#103—22no—
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#103—41no—
994#103C2×D414yes—
995#103C2×D414yes—
996#103C2×D414yes—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—41no—
1006#102—41no—
1007#102C2×D414yes—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—41no—
1017C22⋊C8C2×D414yes—
1018C22⋊C8C2×D414yes—
1019#97—22no—
1020#97—22no—
1021C4×C8—41no—
1022#95—21no—
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#95C2×D411yescharacteristic
1040#95C2×D411yescharacteristic
1041#95C2×D411yescharacteristic
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045C24—21no—
1046C24—21no—
1047C24—22no—
1048C24—22no—
1049C24—21no—
1050C24—41no—
1051C24—41no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—81no—
1061C24—81no—
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064C24C22×D411yescharacteristic
1065C24C22×D411yescharacteristic
1066#41—28no—
1067#41—28no—
1068#41—44no—
1069#41—44no—
1070#41—44no—
1071#41—44no—
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—432no—
1083#41—432no—
1084#41—44no—
1085#41—44no—
1086#41—82no—
1087#41—82no—
1088C2×Q8—24no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—28no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
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—42no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—42no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—81no—
1137C2×Q8—81no—
1138C2×Q8—82no—
1139C2×Q8—82no—
1140C2×Q8—82no—
1141C2×Q8—82no—
1142C2×Q8—82no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8—82no—
1146C2×Q8C22×D412yes—
1147C2×Q8C22×D412yes—
1148C2×Q8C22×D412yes—
1149C2×Q8C22×D412yes—
1150C2×Q8C22×D412yes—
1151C2×Q8H(5,𝔽2)12yes—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
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—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—432no—
1198C2×D4—42no—
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—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4C22×D412yes—
1216C2×D4H(5,𝔽2)12yes—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—432no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4H(5,𝔽2)12yes—
1307C22×C4H(5,𝔽2)12yes—
1308C22×C4C2511yescharacteristic
1309Q16—28no—
1310Q16—28no—
1311Q16—44no—
1312Q16—44no—
1313Q16—44no—
1314Q16—44no—
1315Q16—44no—
1316Q16—44no—
1317Q16—82no—
1318SD16—44no—
1319SD16—44no—
1320SD16—44no—
1321SD16—44no—
1322SD16—44no—
1323SD16—44no—
1324SD16—44no—
1325SD16—44no—
1326SD16—82no—
1327D8—44no—
1328D8—44no—
1329M16—44no—
1330M16—44no—
1331M16—44no—
1332M16—44no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—44no—
1354C2×C8C22×D412yes—
1355C2×C8C22×D412yes—
1356C2×C8C22×D412yes—
1357C2×C8C22×D412yes—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—81no—
1396C4⋊C4C22×D412yes—
1397C4⋊C4C22×D412yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C42—21no—
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—81no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—44no—
1490C23—48no—
1491C23—44no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—82no—
1512C23—82no—
1513C23—82no—
1514C23—84no—
1515C23—84no—
1516C23—82no—
1517C23—82no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23D4212yes—
1523C23D4212yes—
1524C23#57512yes—
1525C23C23×D411yescharacteristic
1526Q8—22no—
1527Q8—22no—
1528Q8—22no—
1529Q8—22no—
1530Q8—22no—
1531Q8—22no—
1532Q8—22no—
1533Q8—22no—
1534Q8—22no—
1535Q8—48no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541Q8—41no—
1542Q8—41no—
1543Q8—41no—
1544Q8—41no—
1545Q8—41no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—84no—
1551Q8—84no—
1552Q8—84no—
1553Q8D4214yes—
1554D4—22no—
1555D4—22no—
1556D4—22no—
1557D4—22no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—44no—
1562D4—44no—
1563D4—48no—
1564D4—48no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—82no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
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—84no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4D4212yes—
1677C2×C4D4212yes—
1678C2×C4C23×D411yescharacteristic
1679C2×C4C23×D411yescharacteristic
1680C2×C4C2×H(5,𝔽2)11yescharacteristic
1681C2×C4C2×H(5,𝔽2)11yescharacteristic
1682C2×C4C2×H(5,𝔽2)11yescharacteristic
1683C2×C4C2×H(5,𝔽2)11yescharacteristic
1684C8—22no—
1685C8—22no—
1686C8—22no—
1687C8—22no—
1688C8—41no—
1689C8—41no—
1690C8—41no—
1691C8—41no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—42no—
1719C22—42no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—88no—
1727C22—816no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22C2×D4211yescharacteristic
1744C22C2×D4211yescharacteristic
1745C22#348411yescharacteristic
1746C22C2×#57511yescharacteristic
1747C22#358611yescharacteristic
1748C22#358611yescharacteristic
1749C22#358611yescharacteristic
1750C4—22no—
1751C4—22no—
1752C4—24no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—81no—
1767C4—81no—
1768C4—81no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4—81no—
1773C4C2×D4211yescharacteristic
1774C4#348411yescharacteristic
1775C4#348411yescharacteristic
1776C4#353211yescharacteristic
1777C2—42no—
1778C2—42no—
1779C2—42no—
1780C2—81no—
1781C2—82no—
1782C2—82no—
1783C2—161no—
1784C2#5899011yescharacteristic
1785C2#6106111yescharacteristic
1786C2#6106411yescharacteristic
1787C2#6106811yescharacteristic
1788C2#6106811yescharacteristic
1789C2#6158011yescharacteristic
1790C2#6165511yescharacteristic
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×#3270C2semidirect
2. C2×#3270C2semidirect
3. C2×#3007C2semidirect
4. C2×#3005C2semidirect
5. #59005C2semidirect
6. #36428C2semidirect
7. #31061C2semidirect
8. #30503C2semidirect
9. #30467C2semidirect
10. #30466C2semidirect
11. #25796C2semidirect
12. #25792C2semidirect
13. #25761C2semidirect
14. #25175C2semidirect
15. #25171C2semidirect
16. #25123C2semidirect
17. #25120C2semidirect
18. #25105C2semidirect
19. #25098C2semidirect
20. #24453C2semidirect
21. #24441C2semidirect
22. #24389C2semidirect
23. #24386C2semidirect
24. #24375C2semidirect
25. #24369C2semidirect
26. #23868C2semidirect
27. #23866C2semidirect
28. #23859C2semidirect
29. #22869C2semidirect
30. #22867C2semidirect
31. #22850C2semidirect
37. C23×Q16C22semidirect
39. C2×D4×Q8C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
49. C2×#495C22semidirect
52. C2×#470C22semidirect
53. C2×#468C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#464C22semidirect
58. C2×#464C22semidirect
59. C2×#462C22semidirect
60. C2×#462C22semidirect
78. C2×#451C22semidirect
79. C2×#451C22semidirect
80. C2×#451C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
86. C2×#441C22semidirect
87. C2×#441C22semidirect
89. C2×#435C22semidirect
100. #2540C22semidirect
105. #2436C22semidirect
113. #2429C22semidirect
114. #2426C22semidirect
116. #2416C22semidirect
118. #2409C22semidirect
127. #2360C22semidirect
133. #2065C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2035C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2016C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2013C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
160. #2001C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1972C22semidirect
168. #1969C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1936C22semidirect
172. #1935C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1924C22semidirect
177. #1895C22semidirect
180. #1894C22semidirect
181. #1893C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1878C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
191. #1872C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
198. #1853C22semidirect
200. #1851C22semidirect
202. #1787C22semidirect
203. #1787C22semidirect
204. C4×#103C22semidirect
206. #1753C22semidirect
367. #452D4semidirect
372. #451D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32702
C2×#30072
C2×#30052
#590052
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