Finite Group Databasebeta

← #6668526

Subgroups — #6668526

Order 512.

3336 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3323C211yesmaximal, characteristic, complemented
2C2×#3003C211yesmaximal, characteristic, complemented
3#39887C211yesmaximal, characteristic, complemented
4#36152C211yesmaximal, characteristic, complemented
5#32881C211yesmaximal, characteristic, complemented
6#31032C211yesmaximal, characteristic, complemented
7#31024C211yesmaximal, characteristic, complemented
8#30531C211yesmaximal, characteristic, complemented
9#30523C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30510C211yesmaximal, characteristic, complemented
12#30464C211yesmaximal, characteristic, complemented
13#30448C211yesmaximal, characteristic, complemented
14#29743C211yesmaximal, characteristic, complemented
15#29601C211yesmaximal, characteristic, complemented
16#27240C211yesmaximal, characteristic, complemented
17#27227C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25769C211yesmaximal, characteristic, complemented
20#25762C211yesmaximal, characteristic, complemented
21#25156C211yesmaximal, characteristic, complemented
22#25152C211yesmaximal, characteristic, complemented
23#24493C211yesmaximal, characteristic, complemented
24#24452C211yesmaximal, characteristic, complemented
25#24444C211yesmaximal, characteristic, complemented
26#24367C211yesmaximal, characteristic, complemented
27#24277C211yesmaximal, characteristic, complemented
28#23982C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#22580C211yesmaximal, characteristic, complemented
31#22038C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×#552C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#525C2211yescharacteristic
40#3323—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#488C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#461C2211yescharacteristic, complemented
54#3003—28no—
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×C4×SD16C2211yescharacteristic, complemented
74C2×#436C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic
77C2×#418C2211yescharacteristic
78C2×#407C2211yescharacteristic
79#2848C2211yescharacteristic
80#2848C2211yescharacteristic
81#2846—21no—
82#2718—21no—
83#2706—21no—
84#2685—21no—
85#2678—21no—
86#2633—21no—
87#2598—21no—
88#2566—21no—
89#2542C2211yescharacteristic, complemented
90#2540C2211yescharacteristic, complemented
91#2490C2211yescharacteristic, complemented
92#2489C2211yescharacteristic, complemented
93#2435C2211yescharacteristic
94#2435C2211yescharacteristic
95#2435C2211yescharacteristic
96#2432C2211yescharacteristic, complemented
97#2429C2211yescharacteristic, complemented
98#2426C2211yescharacteristic, complemented
99#2417C2211yescharacteristic, complemented
100#2416C2211yescharacteristic, complemented
101#2410—21no—
102#2410—21no—
103#2410—21no—
104#2408C2211yescharacteristic
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2405—21no—
109#2405—21no—
110#2405—21no—
111#2347C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic
113D4×C22⋊C4C2211yescharacteristic
114D4×C22⋊C4C2211yescharacteristic
115#2324—21no—
116C4×#120C2211yescharacteristic
117C2×#379—21no—
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1779C2211yescharacteristic
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C26—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—24no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—42no—
213C23×D4—42no—
214C23×D4—42no—
215C23×D4—42no—
216C23×D4—42no—
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C22×Q16C2311yescharacteristic, complemented
231C22×Q16C2311yescharacteristic, complemented
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic, complemented
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic, complemented
248#552—24no—
249#552—42no—
250#546—24no—
251#546—42no—
252#546—42no—
253#546—42no—
254#546—42no—
255#546—42no—
256C2×C4⋊Q8C2311yescharacteristic, complemented
257C2×#126—21no—
258C2×#125—21no—
259C2×#125C2311yescharacteristic, complemented
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic, complemented
264#525—24no—
265#525—42no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic, complemented
280C2×C22⋊Q8C2311yescharacteristic, complemented
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic, complemented
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120D411yescharacteristic
299C2×C4×Q8C2311yescharacteristic, complemented
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×#117—21no—
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic, complemented
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317#497—42no—
318#495—42no—
319#488—24no—
320#485—24no—
321#481—24no—
322#478—24no—
323#470—24no—
324#469—42no—
325#468—24no—
326#468—42no—
327#464—24no—
328#463—42no—
329#461—42no—
330#452—24no—
331#452—42no—
332#452—42no—
333#450—24no—
334#450—24no—
335#450—24no—
336#450—24no—
337#450—24no—
338#450—42no—
339#450—42no—
340#450—42no—
341#450—42no—
342#450—42no—
343#449—42no—
344#447—24no—
345#447—24no—
346#447—24no—
347#447—24no—
348C4×SD16—24no—
349#436—24no—
350C2×#107C2311yescharacteristic, complemented
351C2×#107C2311yescharacteristic, complemented
352C2×#106C2311yescharacteristic, complemented
353C2×#106C2311yescharacteristic, complemented
354C2×#106C2311yescharacteristic, complemented
355C2×C4⋊C8C2311yescharacteristic, complemented
356C2×C4⋊C8C2311yescharacteristic, complemented
357C2×C4⋊C8C2311yescharacteristic, complemented
358#418—24no—
359#418D418yescomplemented
360#417—24no—
361C2×#103C2311yescharacteristic, complemented
362C2×#103C2311yescharacteristic, complemented
363C2×#103C2311yescharacteristic, complemented
364C2×#103C2311yescharacteristic, complemented
365C2×#103C2311yescharacteristic, complemented
366C2×#103C2311yescharacteristic, complemented
367C2×#103C2311yescharacteristic, complemented
368C2×#103C2311yescharacteristic, complemented
369C2×#103C2311yescharacteristic, complemented
370C2×#103C2311yescharacteristic, complemented
371C2×#103C2311yescharacteristic, complemented
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic, complemented
393C2×#102C2311yescharacteristic, complemented
394C2×#102C2311yescharacteristic, complemented
395#407—24no—
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic, complemented
407C2×C22⋊C8C2311yescharacteristic, complemented
408C2×C22⋊C8C2311yescharacteristic, complemented
409C2×#97C2311yescharacteristic, complemented
410C2×C4×C8C2311yescharacteristic, complemented
411C2×C4×C8C2311yescharacteristic, complemented
412#400—21no—
413#399—21no—
414#399—21no—
415#399—21no—
416#398—21no—
417#398—21no—
418#397—21no—
419#397—21no—
420#396—21no—
421#396—21no—
422#396—21no—
423#396—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#391C2311yescharacteristic, complemented
445#391C2311yescharacteristic, complemented
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic, complemented
458#390C2311yescharacteristic, complemented
459#389—21no—
460#389C2311yescharacteristic, complemented
461#389C2311yescharacteristic, complemented
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386D411yescharacteristic
478#386D411yescharacteristic
479#386D411yescharacteristic
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385D411yescharacteristic
490#385D411yescharacteristic
491#385D411yescharacteristic
492#384—21no—
493#383—21no—
494#382—21no—
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#379—21no—
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516#379D411yescharacteristic
517C4×C4⋊C4—21no—
518C4×C4⋊C4C2311yescharacteristic, complemented
519C4×C4⋊C4C2311yescharacteristic, complemented
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic, complemented
524#340C2311yescharacteristic, complemented
525#340C2311yescharacteristic, complemented
526#340C2311yescharacteristic, complemented
527#340C2311yescharacteristic, complemented
528#340C2311yescharacteristic, complemented
529#340C2311yescharacteristic, complemented
530#340C2311yescharacteristic, complemented
531#340C2311yescharacteristic, complemented
532#340C2311yescharacteristic, complemented
533#336C2311yescharacteristic, complemented
534#336C2311yescharacteristic, complemented
535#336C2311yescharacteristic, complemented
536#336C2311yescharacteristic, complemented
537#336C2311yescharacteristic, complemented
538#336C2311yescharacteristic, complemented
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C25—21no—
545C25—44no—
546C25—44no—
547C25—44no—
548C25—44no—
549C25—82no—
550C25—82no—
551C25—82no—
552C25C2×D411yescharacteristic
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C22×Q8C2411yescharacteristic
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—44no—
618C22×D4—44no—
619C22×D4—44no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—416no—
625C22×D4—416no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—416no—
629C22×D4—416no—
630C22×D4C2×D414yes—
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—41no—
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658AGL(1,ℤ/8)—416no—
659AGL(1,ℤ/8)—416no—
660C2×Q16—22no—
661C2×Q16—41no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×M16—22no—
706C2×M16—22no—
707C2×M16—41no—
708C2×M16—41no—
709C2×M16—41no—
710C2×M16—41no—
711C2×M16—41no—
712C2×M16—41no—
713C2×M16C2×D414yes—
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C4⋊Q8—41no—
723C4⋊Q8—41no—
724#126—44no—
725#125—22no—
726#125—41no—
727#125—44no—
728#124—22no—
729#124—22no—
730#124—22no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#123—44no—
737#123—44no—
738#123—44no—
739#123—44no—
740#123—44no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—44no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—41no—
776#121—41no—
777#120—42no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—82no—
783#120—82no—
784#120—82no—
785C4×Q8—22no—
786C4×Q8—41no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—44no—
800C4×D4—44no—
801#117—22no—
802#117—44no—
803#117C2×D414yes—
804C2×C4⋊C4—22no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—41no—
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—44no—
886C2×C22⋊C4—44no—
887C2×C22⋊C4—44no—
888C2×C22⋊C4—82no—
889C2×C22⋊C4—82no—
890C2×C22⋊C4—82no—
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910#107—22no—
911#107—41no—
912#106—22no—
913#106—22no—
914#106—41no—
915C4⋊C8—22no—
916C4⋊C8—41no—
917C4⋊C8—41no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103—41no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102C2×D414yes—
949#102C2×D414yes—
950#102C2×D414yes—
951#102C2×D414yes—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965#97—41no—
966C4×C8—22no—
967C4×C8—41no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988C24—21no—
989C24—24no—
990C24—24no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—24no—
998C24—21no—
999C24—41no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—432no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—816no—
1044C24—816no—
1045C24—816no—
1046C24—816no—
1047C24—816no—
1048C24—816no—
1049C24C22×D411yescharacteristic
1050C24C22×D411yescharacteristic
1051C24C22×D411yescharacteristic
1052C24C22×D411yescharacteristic
1053#41—44no—
1054#41—44no—
1055#41—44no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—24no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—432no—
1152C2×D4—432no—
1153C2×D4—432no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4C22×D412yes—
1182C2×D4C22×D412yes—
1183C2×D4H(5,𝔽2)12yes—
1184C2×D4H(5,𝔽2)12yes—
1185C2×D4H(5,𝔽2)12yes—
1186C2×D4H(5,𝔽2)12yes—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D412yes—
1262C22×C4H(5,𝔽2)12yes—
1263C22×C4C2511yescharacteristic
1264Q16—82no—
1265Q16—82no—
1266SD16—44no—
1267SD16—44no—
1268SD16—44no—
1269SD16—44no—
1270SD16—44no—
1271SD16—82no—
1272SD16—82no—
1273SD16—82no—
1274SD16—82no—
1275D8—44no—
1276D8—44no—
1277D8—44no—
1278D8—44no—
1279M16—44no—
1280M16—44no—
1281M16—82no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8C22×D412yes—
1305C2×C8C22×D412yes—
1306C4⋊C4—22no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—81no—
1336C4⋊C4—81no—
1337C4⋊C4—81no—
1338C4⋊C4—81no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4C22×D412yes—
1342C4⋊C4C22×D412yes—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C42—24no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—42no—
1413C42—81no—
1414C42—81no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—48no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—48no—
1454C23—48no—
1455C23—48no—
1456C23—48no—
1457C23—48no—
1458C23—48no—
1459C23—44no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—48no—
1465C23—48no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—8128no—
1523C23—84no—
1524C23—84no—
1525C23D4212yes—
1526C23#57512yes—
1527C23#57712yes—
1528C23C23×D411yescharacteristic
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541D4—22no—
1542D4—22no—
1543D4—22no—
1544D4—22no—
1545D4—22no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—22no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4#53514yes—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
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—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
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—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—162no—
1663C2×C4—162no—
1664C2×C4—162no—
1665C2×C4D4212yes—
1666C2×C4C23×D411yescharacteristic
1667C2×C4C2×H(5,𝔽2)11yescharacteristic
1668C2×C4C2×H(5,𝔽2)11yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C8—22no—
1673C8—22no—
1674C8—41no—
1675C8—41no—
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C22—22no—
1681C22—24no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—416no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—41no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—816no—
1726C22—816no—
1727C22—816no—
1728C22—816no—
1729C22—816no—
1730C22—816no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22C2×D4211yescharacteristic
1751C22#348411yescharacteristic
1752C22#348411yescharacteristic
1753C22C2×#57511yescharacteristic
1754C22C2×#57711yescharacteristic
1755C22#358511yescharacteristic
1756C22#358511yescharacteristic
1757C4—22no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4C2×#53511yescharacteristic
1779C4#348411yescharacteristic
1780C4#353211yescharacteristic
1781C4#353211yescharacteristic
1782C2—42no—
1783C2—42no—
1784C2—42no—
1785C2—44no—
1786C2—81no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2—161no—
1791C2#3764511yescharacteristic
1792C2#6106611yescharacteristic
1793C2#6107111yescharacteristic
1794C2#6158111yescharacteristic
1795C2#6160111yescharacteristic
1796C2#6161011yescharacteristic
1797C2#6164311yescharacteristic
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×#3323C2semidirect
2. C2×#3003C2semidirect
3. #39887C2semidirect
4. #36152C2semidirect
5. #32881C2semidirect
6. #31032C2semidirect
7. #31024C2semidirect
8. #30531C2semidirect
9. #30523C2semidirect
10. #30511C2semidirect
11. #30510C2semidirect
12. #30464C2semidirect
13. #30448C2semidirect
14. #29743C2semidirect
15. #29601C2semidirect
16. #27240C2semidirect
17. #27227C2semidirect
18. #25796C2semidirect
19. #25769C2semidirect
20. #25762C2semidirect
21. #25156C2semidirect
22. #25152C2semidirect
23. #24493C2semidirect
24. #24452C2semidirect
25. #24444C2semidirect
26. #24367C2semidirect
27. #24277C2semidirect
28. #23982C2semidirect
29. #23863C2semidirect
30. #22580C2semidirect
31. #22038C2semidirect
35. C2×#552C22semidirect
41. C2×#497C22semidirect
42. C2×#495C22semidirect
43. C2×#488C22semidirect
44. C2×#481C22semidirect
45. C2×#485C22semidirect
46. C2×#478C22semidirect
47. C2×#470C22semidirect
48. C2×#469C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
51. C2×#464C22semidirect
52. C2×#463C22semidirect
53. C2×#461C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
58. C2×#449C22semidirect
73. C2×C4×SD16C22semidirect
74. C2×#436C22semidirect
75. C2×#417C22semidirect
89. #2542C22semidirect
90. #2540C22semidirect
91. #2490C22semidirect
92. #2489C22semidirect
96. #2432C22semidirect
97. #2429C22semidirect
98. #2426C22semidirect
99. #2417C22semidirect
100. #2416C22semidirect
107. #2407C22semidirect
111. #2347C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2036C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
133. #2035C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2025C22semidirect
137. #2025C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2013C22semidirect
141. #2013C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1851C22semidirect
192. #1825C22semidirect
193. #1809C22semidirect
194. #1788C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1753C22semidirect
230. C22×Q16C23semidirect
231. C22×Q16C23semidirect
240. C22×SD16C23semidirect
247. C22×M16C23semidirect
256. C2×C4⋊Q8C23semidirect
259. C2×#125C23semidirect
263. C2×#124C23semidirect
279. C2×C22⋊Q8C23semidirect
280. C2×C22⋊Q8C23semidirect
290. C2×#121C23semidirect
299. C2×C4×Q8C23semidirect
310. C22×C4⋊C4C23semidirect
350. C2×#107C23semidirect
351. C2×#107C23semidirect
352. C2×#106C23semidirect
353. C2×#106C23semidirect
354. C2×#106C23semidirect
355. C2×C4⋊C8C23semidirect
356. C2×C4⋊C8C23semidirect
357. C2×C4⋊C8C23semidirect
359. #418D4semidirect
361. C2×#103C23semidirect
362. C2×#103C23semidirect
363. C2×#103C23semidirect
364. C2×#103C23semidirect
365. C2×#103C23semidirect
366. C2×#103C23semidirect
367. C2×#103C23semidirect
368. C2×#103C23semidirect
369. C2×#103C23semidirect
370. C2×#103C23semidirect
371. C2×#103C23semidirect
392. C2×#102C23semidirect
393. C2×#102C23semidirect
394. C2×#102C23semidirect
406. C2×C22⋊C8C23semidirect
407. C2×C22⋊C8C23semidirect
408. C2×C22⋊C8C23semidirect
409. C2×#97C23semidirect
410. C2×C4×C8C23semidirect
411. C2×C4×C8C23semidirect
444. #391C23semidirect
445. #391C23semidirect
457. #390C23semidirect
458. #390C23semidirect
460. #389C23semidirect
461. #389C23semidirect
518. C4×C4⋊C4C23semidirect
519. C4×C4⋊C4C23semidirect
523. #340C23semidirect
524. #340C23semidirect
525. #340C23semidirect
526. #340C23semidirect
527. #340C23semidirect
528. #340C23semidirect
529. #340C23semidirect
530. #340C23semidirect
531. #340C23semidirect
532. #340C23semidirect
533. #336C23semidirect
534. #336C23semidirect
535. #336C23semidirect
536. #336C23semidirect
537. #336C23semidirect
538. #336C23semidirect

Maximal subgroups

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

subgroupindex
C2×#33232
C2×#30032
#398872
#361522
#328812
#310322
#310242
#305312
#305232
#305112
#305102
#304642
#304482
#297432
#296012
#272402
#272272
#257962
#257692
#257622
#251562
#251522
#244932
#244522
#244442
#243672
#242772
#239822
#238632
#225802
#220382