Finite Group Databasebeta

← #6667862

Subgroups — #6667862

Order 512.

3389 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3267C211yesmaximal, characteristic, complemented
2C2×#3003C211yesmaximal, characteristic, complemented
3#39884C211yesmaximal, characteristic, complemented
4#36152C211yesmaximal, characteristic, complemented
5#32881C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#31008C211yesmaximal, characteristic, complemented
9#30992C211yesmaximal, characteristic, complemented
10#30464C211yesmaximal, characteristic, complemented
11#30464C211yesmaximal, characteristic, complemented
12#30408C211yesmaximal, characteristic, complemented
13#30404C211yesmaximal, characteristic, complemented
14#29743C211yesmaximal, characteristic, complemented
15#29601C211yesmaximal, characteristic, complemented
16#28361C211yesmaximal, characteristic, complemented
17#28100C211yesmaximal, characteristic, complemented
18#25176C211yesmaximal, characteristic, complemented
19#25156C211yesmaximal, characteristic, complemented
20#24913C211yesmaximal, characteristic, complemented
21#24909C211yesmaximal, characteristic, complemented
22#24538C211yesmaximal, characteristic, complemented
23#24371C211yesmaximal, characteristic, complemented
24#24259C211yesmaximal, characteristic, complemented
25#24247C211yesmaximal, characteristic, complemented
26#24050C211yesmaximal, characteristic, complemented
27#23864C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#525C2211yescharacteristic
41#3267—28no—
42C2×#497C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#470C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#464C2211yescharacteristic, complemented
48C2×#463C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50#3003—28no—
51C2×#452C2211yescharacteristic, complemented
52C2×#452C2211yescharacteristic, complemented
53C2×#449C2211yescharacteristic, complemented
54C2×#449C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic, complemented
56C2×#450C2211yescharacteristic
57C2×#450C2211yescharacteristic
58C2×#450C2211yescharacteristic
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#442C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic
75C2×#418C2211yescharacteristic
76C2×#407C2211yescharacteristic
77#2848C2211yescharacteristic
78#2848C2211yescharacteristic
79#2846—21no—
80#2724—21no—
81#2701—21no—
82#2697—21no—
83#2678—21no—
84#2630—21no—
85#2602—21no—
86#2579—21no—
87#2538C2211yescharacteristic, complemented
88#2536C2211yescharacteristic, complemented
89#2499C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2435C2211yescharacteristic
92#2435C2211yescharacteristic
93#2435C2211yescharacteristic
94#2429C2211yescharacteristic, complemented
95#2429C2211yescharacteristic, complemented
96#2422C2211yescharacteristic, complemented
97#2420C2211yescharacteristic, complemented
98#2410—21no—
99#2410—21no—
100#2410—21no—
101#2408C2211yescharacteristic
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic
104#2407C2211yescharacteristic, complemented
105#2407C2211yescharacteristic, complemented
106#2405—21no—
107#2405—21no—
108#2405—21no—
109#2341C2211yescharacteristic, complemented
110D4×C22⋊C4C2211yescharacteristic
111D4×C22⋊C4C2211yescharacteristic
112D4×C22⋊C4C2211yescharacteristic
113#2322—21no—
114C4×#120C2211yescharacteristic
115C2×#379—21no—
116#2094C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1959C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1779C2211yescharacteristic
204#1753C2211yescharacteristic, complemented
205C26—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic, complemented
209C23×D4—24no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—42no—
214C23×D4—42no—
215C23×D4—42no—
216C23×D4—42no—
217C23×D4—42no—
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4C2311yescharacteristic
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—
230C2×AGL(1,ℤ/8)D418yescomplemented
231C2×#135—24no—
232C2×#135—42no—
233C2×#135—42no—
234C22×Q16C2311yescharacteristic, complemented
235C22×Q16C2311yescharacteristic, complemented
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic, complemented
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic, complemented
252#547—24no—
253#547—42no—
254#546—24no—
255#546—42no—
256#546—42no—
257#546—42no—
258#546—42no—
259#546—42no—
260C2×C4⋊Q8C2311yescharacteristic, complemented
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264#525—24no—
265#525—42no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic, complemented
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
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×Q8C2311yescharacteristic, complemented
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic, complemented
310C2×#117C2311yescharacteristic
311C22×C4⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318#497—24no—
319#485—42no—
320#470—24no—
321#465—24no—
322#464—42no—
323#464—42no—
324#463—24no—
325#461—24no—
326#452—24no—
327#452—24no—
328#450—24no—
329#450—24no—
330#450—24no—
331#450—24no—
332#450—24no—
333#450—42no—
334#450—42no—
335#450—42no—
336#450—42no—
337#450—42no—
338#449—24no—
339#449—42no—
340#449—42no—
341#447—24no—
342#447—24no—
343#447—24no—
344#447—24no—
345#442—24no—
346#440—42no—
347C4×SD16—42no—
348#435—24no—
349C2×#107C2311yescharacteristic, complemented
350C2×#107C2311yescharacteristic, complemented
351C2×#106C2311yescharacteristic, complemented
352C2×#106C2311yescharacteristic, complemented
353C2×#106C2311yescharacteristic, complemented
354C2×C4⋊C8C2311yescharacteristic, complemented
355C2×C4⋊C8C2311yescharacteristic, complemented
356C2×C4⋊C8C2311yescharacteristic, complemented
357#418—24no—
358#418—24no—
359C2×#103C2311yescharacteristic, complemented
360C2×#103C2311yescharacteristic, complemented
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×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
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, complemented
391C2×#102C2311yescharacteristic, complemented
392C2×#102C2311yescharacteristic, complemented
393#407—24no—
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
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, complemented
405C2×C22⋊C8C2311yescharacteristic, complemented
406C2×C22⋊C8C2311yescharacteristic, complemented
407C2×#97C2311yescharacteristic, complemented
408C2×#97C2311yescharacteristic, complemented
409C2×C4×C8C2311yescharacteristic, complemented
410#398—21no—
411#398—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#396—21no—
422#394—21no—
423#394—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#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#391C2311yescharacteristic, complemented
443#391C2311yescharacteristic, complemented
444#390—21no—
445#390—21no—
446#390—21no—
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic, complemented
454#390C2311yescharacteristic, complemented
455#389—21no—
456#389—21no—
457#389—21no—
458#389C2311yescharacteristic, complemented
459#389C2311yescharacteristic, complemented
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#387—21no—
466#387—21no—
467#387—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#384C2311yescharacteristic, complemented
493#382C2311yescharacteristic, complemented
494#381—21no—
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic, complemented
503#380C2311yescharacteristic, complemented
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#379—21no—
517#379—21no—
518#379D411yescharacteristic
519C4×C22⋊C4—21no—
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—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41C2×D414yes—
571C22×Q8C2411yescharacteristic
572C22×Q8C2411yescharacteristic
573C22×Q8C2411yescharacteristic
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—21no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—22no—
606C22×D4—22no—
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—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—44no—
624C22×D4—44no—
625C22×D4—44no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—416no—
631C22×D4—416no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—416no—
635C22×D4—416no—
636C22×D4C2×D414yes—
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4C2×D411yescharacteristic
659C23×C4C2×D411yescharacteristic
660C23×C4C2×D411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665AGL(1,ℤ/8)—416no—
666AGL(1,ℤ/8)—416no—
667#135—416no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16C2×D414yes—
700C2×SD16C2×D414yes—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8C2×D414yes—
712C2×D8C2×D414yes—
713C2×M16—22no—
714C2×M16—41no—
715C2×M16—41no—
716C2×M16—41no—
717C2×M16—41no—
718C2×M16C2×D414yes—
719C22×C8—22no—
720C22×C8—41no—
721C22×C8—41no—
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C4⋊Q8—22no—
731C4⋊Q8—41no—
732#124—22no—
733#124—22no—
734#124—22no—
735#124—41no—
736#124—41no—
737#124—41no—
738#123—44no—
739#123—44no—
740#123—44no—
741#123—44no—
742#123—44no—
743#123—44no—
744#123—44no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
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—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—44no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—44no—
775#121—44no—
776#121—44no—
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—41no—
786C4×Q8—41no—
787C4×Q8—41no—
788C4×Q8—41no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—44no—
804C4×D4—44no—
805#117—22no—
806#117—22no—
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—21no—
824C2×C4⋊C4—44no—
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
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×C42C2411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#107—41no—
910#107—41no—
911#106—22no—
912#106—41no—
913#106—41no—
914C4⋊C8—22no—
915C4⋊C8—41no—
916C4⋊C8—41no—
917#103—22no—
918#103—22no—
919#103—22no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103—41no—
928#102—22no—
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—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—41no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964#97—22no—
965#97—41no—
966C4×C8—41no—
967#95—21no—
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#95—21no—
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988#95C2×D411yescharacteristic
989C24—21no—
990C24—24no—
991C24—24no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—24no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—41no—
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—42no—
1026C24—432no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—816no—
1045C24—816no—
1046C24—816no—
1047C24—816no—
1048C24—816no—
1049C24—816no—
1050C24C22×D411yescharacteristic
1051C24C22×D411yescharacteristic
1052C24C22×D411yescharacteristic
1053C24C22×D411yescharacteristic
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
1064#41—82no—
1065#41—82no—
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×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8C22×D412yes—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—22no—
1089C2×D4—24no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—24no—
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—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
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—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—432no—
1155C2×D4—432no—
1156C2×D4—432no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
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—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
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×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4C22×D412yes—
1186C2×D4C22×D412yes—
1187C2×D4C22×D412yes—
1188C2×D4H(5,𝔽2)12yes—
1189C2×D4H(5,𝔽2)12yes—
1190C2×D4H(5,𝔽2)12yes—
1191C2×D4H(5,𝔽2)12yes—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—22no—
1197C22×C4—21no—
1198C22×C4—22no—
1199C22×C4—22no—
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—24no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D412yes—
1270C22×C4H(5,𝔽2)12yes—
1271C22×C4C2511yescharacteristic
1272Q16—44no—
1273Q16—82no—
1274SD16—28no—
1275SD16—44no—
1276SD16—44no—
1277SD16—44no—
1278SD16—44no—
1279SD16—44no—
1280SD16—82no—
1281SD16—82no—
1282SD16—82no—
1283D8—28no—
1284D8—44no—
1285D8—44no—
1286D8—44no—
1287M16—44no—
1288M16—44no—
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×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—44no—
1312C2×C8C22×D412yes—
1313C2×C8C22×D412yes—
1314C4⋊C4—22no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—81no—
1345C4⋊C4—81no—
1346C4⋊C4—81no—
1347C4⋊C4—81no—
1348C4⋊C4—81no—
1349C4⋊C4—81no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
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—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
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—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C42—21no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—42no—
1418C42—81no—
1419C42—81no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—48no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—48no—
1460C23—48no—
1461C23—48no—
1462C23—48no—
1463C23—48no—
1464C23—48no—
1465C23—44no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—48no—
1471C23—48no—
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—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
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—84no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—8128no—
1528C23—84no—
1529C23—84no—
1530C23D4212yes—
1531C23#57512yes—
1532C23#57712yes—
1533C23C23×D411yescharacteristic
1534Q8—22no—
1535Q8—22no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541Q8—41no—
1542Q8—41no—
1543Q8—41no—
1544Q8—41no—
1545Q8—41no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—22no—
1550D4—22no—
1551D4—22no—
1552D4—22no—
1553D4—22no—
1554D4—22no—
1555D4—22no—
1556D4—22no—
1557D4—48no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—48no—
1562D4—48no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—162no—
1580D4—162no—
1581D4—162no—
1582D4#53414yes—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
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—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
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—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—162no—
1669C2×C4—162no—
1670C2×C4—162no—
1671C2×C4D4212yes—
1672C2×C4C23×D411yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4C2×H(5,𝔽2)11yescharacteristic
1675C2×C4C2×H(5,𝔽2)11yescharacteristic
1676C2×C4C2×H(5,𝔽2)11yescharacteristic
1677C2×C4C2×H(5,𝔽2)11yescharacteristic
1678C8—22no—
1679C8—22no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C8—41no—
1684C8—41no—
1685C8—41no—
1686C22—22no—
1687C22—24no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—416no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—816no—
1735C22—816no—
1736C22—816no—
1737C22—816no—
1738C22—816no—
1739C22—816no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22C2×D4211yescharacteristic
1757C22#348411yescharacteristic
1758C22#348411yescharacteristic
1759C22C2×#57511yescharacteristic
1760C22C2×#57711yescharacteristic
1761C22#358511yescharacteristic
1762C22#358511yescharacteristic
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—42no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4—81no—
1781C4—81no—
1782C4—81no—
1783C4—81no—
1784C4C2×#53411yescharacteristic
1785C4#348411yescharacteristic
1786C4#353211yescharacteristic
1787C4#353211yescharacteristic
1788C2—42no—
1789C2—42no—
1790C2—42no—
1791C2—44no—
1792C2—81no—
1793C2—82no—
1794C2—82no—
1795C2—82no—
1796C2—82no—
1797C2#3764411yescharacteristic
1798C2#6106611yescharacteristic
1799C2#6107111yescharacteristic
1800C2#6157611yescharacteristic
1801C2#6160111yescharacteristic
1802C2#6161011yescharacteristic
1803C2#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×#3267C2semidirect
2. C2×#3003C2semidirect
3. #39884C2semidirect
4. #36152C2semidirect
5. #32881C2semidirect
6. #31063C2semidirect
7. #31057C2semidirect
8. #31008C2semidirect
9. #30992C2semidirect
10. #30464C2semidirect
11. #30464C2semidirect
12. #30408C2semidirect
13. #30404C2semidirect
14. #29743C2semidirect
15. #29601C2semidirect
16. #28361C2semidirect
17. #28100C2semidirect
18. #25176C2semidirect
19. #25156C2semidirect
20. #24913C2semidirect
21. #24909C2semidirect
22. #24538C2semidirect
23. #24371C2semidirect
24. #24259C2semidirect
25. #24247C2semidirect
26. #24050C2semidirect
27. #23864C2semidirect
28. #23850C2semidirect
29. #23850C2semidirect
30. #22443C2semidirect
31. #22036C2semidirect
35. C22×#135C22semidirect
36. C2×#547C22semidirect
42. C2×#497C22semidirect
43. C2×#485C22semidirect
44. C2×#470C22semidirect
45. C2×#465C22semidirect
46. C2×#464C22semidirect
47. C2×#464C22semidirect
48. C2×#463C22semidirect
49. C2×#461C22semidirect
51. C2×#452C22semidirect
52. C2×#452C22semidirect
53. C2×#449C22semidirect
54. C2×#449C22semidirect
55. C2×#449C22semidirect
70. C2×#442C22semidirect
71. C2×#440C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×#435C22semidirect
87. #2538C22semidirect
88. #2536C22semidirect
89. #2499C22semidirect
90. #2485C22semidirect
94. #2429C22semidirect
95. #2429C22semidirect
96. #2422C22semidirect
97. #2420C22semidirect
104. #2407C22semidirect
105. #2407C22semidirect
109. #2341C22semidirect
116. #2094C22semidirect
117. #2092C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2073C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2013C22semidirect
145. #2013C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1970C22semidirect
159. #1968C22semidirect
160. #1959C22semidirect
161. #1958C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1894C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
204. #1753C22semidirect
208. C22×#41C23semidirect
230. C2×AGL(1,ℤ/8)D4semidirect
234. C22×Q16C23semidirect
235. C22×Q16C23semidirect
244. C22×SD16C23semidirect
251. C23×C8C23semidirect
260. C2×C4⋊Q8C23semidirect
281. C2×C22⋊Q8C23semidirect
299. C2×C4×Q8C23semidirect
300. C2×C4×Q8C23semidirect
309. C2×C4×D4C23semidirect
349. C2×#107C23semidirect
350. C2×#107C23semidirect
351. C2×#106C23semidirect
352. C2×#106C23semidirect
353. C2×#106C23semidirect
354. C2×C4⋊C8C23semidirect
355. C2×C4⋊C8C23semidirect
356. C2×C4⋊C8C23semidirect
359. C2×#103C23semidirect
360. C2×#103C23semidirect
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
390. C2×#102C23semidirect
391. C2×#102C23semidirect
392. C2×#102C23semidirect
404. C2×C22⋊C8C23semidirect
405. C2×C22⋊C8C23semidirect
406. C2×C22⋊C8C23semidirect
407. C2×#97C23semidirect
408. C2×#97C23semidirect
409. C2×C4×C8C23semidirect
442. #391C23semidirect
443. #391C23semidirect
453. #390C23semidirect
454. #390C23semidirect
458. #389C23semidirect
459. #389C23semidirect
492. #384C23semidirect
493. #382C23semidirect
502. #380C23semidirect
503. #380C23semidirect
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×#32672
C2×#30032
#398842
#361522
#328812
#310632
#310572
#310082
#309922
#304642
#304082
#304042
#297432
#296012
#283612
#281002
#251762
#251562
#249132
#249092
#245382
#243712
#242592
#242472
#240502
#238642
#238502
#224432
#220362