Finite Group Databasebeta

← #7514241

Subgroups — #7514241

Order 512.

3414 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×SD16C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3C2×#3010C211yesmaximal, characteristic, complemented
4C2×#3010C211yesmaximal, characteristic, complemented
5#44870C211yesmaximal, characteristic, complemented
6#35687C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#30505C211yesmaximal, characteristic, complemented
9#30471C211yesmaximal, characteristic, complemented
10#30454C211yesmaximal, characteristic, complemented
11#25791C211yesmaximal, characteristic, complemented
12#25774C211yesmaximal, characteristic, complemented
13#25756C211yesmaximal, characteristic, complemented
14#25165C211yesmaximal, characteristic, complemented
15#25153C211yesmaximal, characteristic, complemented
16#25122C211yesmaximal, characteristic, complemented
17#25109C211yesmaximal, characteristic, complemented
18#25099C211yesmaximal, characteristic, complemented
19#25085C211yesmaximal, characteristic, complemented
20#24445C211yesmaximal, characteristic, complemented
21#24425C211yesmaximal, characteristic, complemented
22#24394C211yesmaximal, characteristic, complemented
23#24394C211yesmaximal, characteristic, complemented
24#24370C211yesmaximal, characteristic, complemented
25#24356C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23855C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#22877C211yesmaximal, characteristic, complemented
30#22865C211yesmaximal, characteristic, complemented
31#22847C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic
36C23×SD16C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic
42C2×D42C2211yescharacteristic
43C2×#535C2211yescharacteristic
44C2×#535C2211yescharacteristic
45D4×SD16—28no—
46#3265—28no—
47C2×#496C2211yescharacteristic
48C2×#492C2211yescharacteristic
49C2×#492C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic
57C2×#460C2211yescharacteristic
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic, complemented
61#3010—28no—
62#3010—28no—
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#448C2211yescharacteristic
72C2×#448C2211yescharacteristic
73C2×#448C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic
86C2×#440C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#419C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C2×#416C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2679—21no—
97#2670—21no—
98#2669—21no—
99#2669—21no—
100#2616—21no—
101#2616C2211yescharacteristic, complemented
102#2555—21no—
103#2541C2211yescharacteristic
104#2434—21no—
105#2434C2211yescharacteristic, complemented
106#2433—21no—
107#2433—21no—
108#2433C2211yescharacteristic
109#2433C2211yescharacteristic
110#2432—21no—
111#2432—21no—
112#2432C2211yescharacteristic, complemented
113#2432C2211yescharacteristic, complemented
114#2428C2211yescharacteristic
115#2428C2211yescharacteristic
116#2414C2211yescharacteristic
117#2414C2211yescharacteristic
118#2409—21no—
119#2409C2211yescharacteristic, complemented
120#2408C2211yescharacteristic
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic, complemented
124#2407C2211yescharacteristic, complemented
125#2403—21no—
126#2388—21no—
127#2388C2211yescharacteristic
128#2363C2211yescharacteristic
129#2363C2211yescharacteristic
130#2341C2211yescharacteristic, complemented
131Q8×C22⋊C4C2211yescharacteristic, complemented
132Q8×C22⋊C4C2211yescharacteristic, complemented
133#2068C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2034C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic
148#2014C2211yescharacteristic
149#2014C2211yescharacteristic
150#2014C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1981C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic
178#1895C2211yescharacteristic, complemented
179#1893C2211yescharacteristic
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1873C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1854C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#103C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C23×Q8—21no—
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4—21no—
226C23×D4—21no—
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C2×AGL(1,ℤ/8)—24no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—42no—
234C2×AGL(1,ℤ/8)—42no—
235C2×AGL(1,ℤ/8)—42no—
236C22×SD16—24no—
237C22×SD16—24no—
238C22×SD16—24no—
239C22×SD16—24no—
240C22×SD16—24no—
241C22×SD16—42no—
242C22×SD16—42no—
243C22×SD16—42no—
244C22×SD16—42no—
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270D4×Q8—24no—
271D4×Q8—42no—
272D4×Q8—42no—
273D4×Q8—42no—
274#548—24no—
275#548—42no—
276D42—24no—
277D42—24no—
278D42—42no—
279D42—42no—
280#535—24no—
281#535—24no—
282#535—42no—
283#535—42no—
284C2×C4⋊Q8—21no—
285C2×C4⋊Q8—21no—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127—21no—
289C2×#127—21no—
290C2×#127—21no—
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#124—21no—
295C2×#124—21no—
296C2×#124—21no—
297C2×#124C2311yescharacteristic
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4—21no—
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350#496—24no—
351#492—24no—
352#492—42no—
353#468—24no—
354#468—42no—
355#466—24no—
356#465—24no—
357#465—24no—
358#465—42no—
359#463—24no—
360#461—24no—
361#460—24no—
362#460—24no—
363#460—42no—
364#450—24no—
365#450—24no—
366#450—24no—
367#450—42no—
368#449—24no—
369#449—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449D418yescomplemented
376#448—24no—
377#448—24no—
378#448—24no—
379#448—24no—
380#448—24no—
381#448—24no—
382#448—24no—
383#448—24no—
384#448—24no—
385#448D418yescomplemented
386#447—24no—
387#440—24no—
388C4×SD16—24no—
389#435—24no—
390C8×D4—24no—
391C2×#107C2311yescharacteristic
392C2×#107C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×#106C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#419—24no—
399#419—24no—
400#416—24no—
401#416—24no—
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
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434#408—24no—
435#408—24no—
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×#97C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450#395—21no—
451#395—21no—
452#395—21no—
453#395—21no—
454#395D411yescharacteristic
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394D411yescharacteristic
470#394D411yescharacteristic
471#394D411yescharacteristic
472#393—21no—
473#393D411yescharacteristic
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392D411yescharacteristic
488#392D411yescharacteristic
489#392D411yescharacteristic
490#391—21no—
491#391—21no—
492#391—21no—
493#391—21no—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390—21no—
499#390—21no—
500#390—21no—
501#390—21no—
502#390—21no—
503#390—21no—
504#390—21no—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#380—21no—
534#380—21no—
535#380—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541C4×C4⋊C4C2311yescharacteristic
542C4×C22⋊C4—21no—
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
5672−1+4—416no—
5682−1+4—416no—
5692−1+4—416no—
5702−1+4—416no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—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—44no—
599C2×#41—44no—
600C2×#41—44no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41C2×D414yescomplemented
604C22×Q8—22no—
605C22×Q8—22no—
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—22no—
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—44no—
632C22×Q8—44no—
633C22×Q8—44no—
634C22×Q8C2×D411yescharacteristic
635C22×Q8C2×D414yescomplemented
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×Q8C2411yescharacteristic
639C22×Q8C2411yescharacteristic
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—22no—
644C22×D4—22no—
645C22×D4—22no—
646C22×D4—22no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—22no—
659C22×D4—22no—
660C22×D4—21no—
661C22×D4—21no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—21no—
666C22×D4—21no—
667C22×D4—21no—
668C22×D4—21no—
669C22×D4—22no—
670C22×D4—22no—
671C22×D4—41no—
672C22×D4—41no—
673C22×D4—41no—
674C22×D4—41no—
675C22×D4—41no—
676C22×D4—41no—
677C22×D4—41no—
678C22×D4—41no—
679C22×D4—41no—
680C22×D4—41no—
681C22×D4—44no—
682C22×D4—44no—
683C22×D4—82no—
684C22×D4—82no—
685C22×D4—82no—
686C22×D4—82no—
687C22×D4C2×D411yescharacteristic
688C22×D4C2×D411yescharacteristic
689C22×D4C2×D411yescharacteristic
690C22×D4C2×D411yescharacteristic
691C22×D4C2×D411yescharacteristic
692C22×D4C2×D411yescharacteristic
693C22×D4C2411yescharacteristic
694C22×D4C2411yescharacteristic
695C22×D4C2411yescharacteristic
696C22×D4C2411yescharacteristic
697C22×D4C2411yescharacteristic
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—21no—
701C23×C4—21no—
702C23×C4—21no—
703C23×C4—21no—
704C23×C4—21no—
705C23×C4—21no—
706C23×C4—21no—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711AGL(1,ℤ/8)—416no—
712AGL(1,ℤ/8)—416no—
713C2×SD16—22no—
714C2×SD16—22no—
715C2×SD16—22no—
716C2×SD16—22no—
717C2×SD16—22no—
718C2×SD16—22no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—22no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×SD16—41no—
754C2×SD16—41no—
755C2×SD16—41no—
756C2×SD16—41no—
757C2×SD16—41no—
758C2×SD16—416no—
759C2×SD16—416no—
760C2×SD16—416no—
761C2×SD16C2×D414yes—
762C2×SD16C2×D414yes—
763C2×SD16C2×D414yes—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—22no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8C2×D414yes—
776C2×M16—22no—
777C2×M16—22no—
778C2×M16—22no—
779C2×M16—22no—
780C2×M16—41no—
781C2×M16—41no—
782C22×C8—22no—
783C22×C8—22no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8—22no—
788C22×C8—41no—
789C22×C8—41no—
790C22×C8—41no—
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C4⋊Q8—22no—
800C4⋊Q8—22no—
801C4⋊Q8—41no—
802C4⋊Q8—41no—
803C4⋊Q8—44no—
804C4⋊Q8—44no—
805#127—22no—
806#127—22no—
807#127—41no—
808#127—41no—
809#127—41no—
810#127—41no—
811#127—44no—
812#127—44no—
813#127—82no—
814#124—22no—
815#124—41no—
816#124—44no—
817#124—44no—
818#124—44no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—22no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—44no—
848#121—44no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—44no—
857#121—82no—
858#121—82no—
859#121C2×D414yes—
860#121C2×D414yes—
861#120—44no—
862#120—44no—
863#120—44no—
864#120—44no—
865#120—44no—
866#120—44no—
867#120—44no—
868#120—44no—
869#120—82no—
870#120—82no—
871#120—82no—
872#120—82no—
873#120—82no—
874C4×Q8—22no—
875C4×Q8—22no—
876C4×Q8—22no—
877C4×Q8—41no—
878C4×Q8—41no—
879C4×Q8—41no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—41no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893#117—22no—
894#117—22no—
895#117—41no—
896#117—41no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2×D411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C42—21no—
972C2×C42—21no—
973C2×C42—21no—
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980#107—22no—
981#107—41no—
982#106—22no—
983#106—41no—
984C4⋊C8—22no—
985C4⋊C8—22no—
986C4⋊C8—41no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—22no—
997#103—22no—
998#103—41no—
999#103—41no—
1000#103C2×D414yescomplemented
1001#103C2×D414yescomplemented
1002#103C2×D414yescomplemented
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102C2×D414yescomplemented
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—41no—
1028C22⋊C8C2×D414yescomplemented
1029C22⋊C8C2×D414yescomplemented
1030#97—22no—
1031C4×C8—22no—
1032C4×C8—41no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051#95C2×D411yescharacteristic
1052#95C2×D411yescharacteristic
1053#95C2×D411yescharacteristic
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24C22×D411yescharacteristic
1081C24C22×D411yescharacteristic
1082C24C22×D411yescharacteristic
1083C24C22×D411yescharacteristic
1084#41—28no—
1085#41—28no—
1086#41—44no—
1087#41—44no—
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—44no—
1095#41—44no—
1096#41—44no—
1097#41—44no—
1098#41—44no—
1099#41—432no—
1100#41—432no—
1101#41—432no—
1102#41—44no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—22no—
1106C2×Q8—22no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—28no—
1113C2×Q8—28no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—41no—
1129C2×Q8—42no—
1130C2×Q8—42no—
1131C2×Q8—42no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—432no—
1148C2×Q8—44no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—82no—
1152C2×Q8—82no—
1153C2×Q8—82no—
1154C2×Q8C22×D412yes—
1155C2×Q8C22×D412yes—
1156C2×Q8C22×D412yes—
1157C2×Q8H(5,𝔽2)12yes—
1158C2×Q8H(5,𝔽2)12yes—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—21no—
1196C2×D4—21no—
1197C2×D4—21no—
1198C2×D4—21no—
1199C2×D4—21no—
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—82no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—816no—
1286C2×D4—816no—
1287C2×D4C22×D412yes—
1288C2×D4C22×D412yes—
1289C2×D4C22×D412yes—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—24no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—81no—
1347C22×C4—81no—
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D412yes—
1357C22×C4C22×D412yes—
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D411yescharacteristic
1360C22×C4H(5,𝔽2)12yes—
1361C22×C4H(5,𝔽2)12yes—
1362C22×C4C2511yescharacteristic
1363SD16—28no—
1364SD16—28no—
1365SD16—44no—
1366SD16—44no—
1367SD16—44no—
1368SD16—44no—
1369SD16—44no—
1370SD16—44no—
1371SD16—44no—
1372SD16—44no—
1373SD16—44no—
1374SD16—44no—
1375SD16—44no—
1376SD16—44no—
1377SD16—82no—
1378SD16—82no—
1379D8—44no—
1380D8—44no—
1381D8—44no—
1382D8—44no—
1383M16—44no—
1384M16—44no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—44no—
1406C2×C8—44no—
1407C2×C8—44no—
1408C2×C8C22×D412yes—
1409C2×C8C22×D412yes—
1410C2×C8C22×D412yes—
1411C2×C8C22×D412yes—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—41no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—81no—
1440C4⋊C4—81no—
1441C4⋊C4C22×D412yes—
1442C4⋊C4C22×D412yes—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C22⋊C4—81no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—81no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—162no—
1573C23—162no—
1574C23—162no—
1575C23—162no—
1576C23—162no—
1577C23—162no—
1578C23—162no—
1579C23—162no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23—162no—
1584C23—162no—
1585C23—162no—
1586C23D4212yes—
1587C23D4212yes—
1588C23#57712yes—
1589C23C23×D411yescharacteristic
1590Q8—22no—
1591Q8—22no—
1592Q8—22no—
1593Q8—22no—
1594Q8—22no—
1595Q8—22no—
1596Q8—22no—
1597Q8—44no—
1598Q8—48no—
1599Q8—48no—
1600Q8—48no—
1601Q8—41no—
1602Q8—41no—
1603Q8—41no—
1604Q8—41no—
1605Q8—41no—
1606Q8—41no—
1607Q8—41no—
1608Q8—41no—
1609Q8—84no—
1610Q8D4214yes—
1611D4—28no—
1612D4—22no—
1613D4—22no—
1614D4—22no—
1615D4—22no—
1616D4—22no—
1617D4—22no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—48no—
1622D4—44no—
1623D4—44no—
1624D4—48no—
1625D4—48no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—41no—
1639D4—41no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—84no—
1650D4—162no—
1651D4—162no—
1652D4—162no—
1653D4—162no—
1654D4—162no—
1655D4—162no—
1656D4—162no—
1657D4—162no—
1658D4—162no—
1659D4—162no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—84no—
1744C2×C4D4212yes—
1745C2×C4D4212yes—
1746C2×C4#57712yes—
1747C2×C4#57712yes—
1748C2×C4C23×D411yescharacteristic
1749C2×C4C23×D411yescharacteristic
1750C2×C4C2×H(5,𝔽2)11yescharacteristic
1751C2×C4C2×H(5,𝔽2)11yescharacteristic
1752C2×C4C2×H(5,𝔽2)11yescharacteristic
1753C2×C4C2×H(5,𝔽2)11yescharacteristic
1754C8—22no—
1755C8—22no—
1756C8—22no—
1757C8—22no—
1758C8—41no—
1759C8—41no—
1760C8—41no—
1761C8—41no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—168no—
1826C22—168no—
1827C22—168no—
1828C22C2×D4211yescharacteristic
1829C22C2×D4211yescharacteristic
1830C22#348411yescharacteristic
1831C22C2×#57711yescharacteristic
1832C22C2×#57711yescharacteristic
1833C22C2×#57711yescharacteristic
1834C22#358511yescharacteristic
1835C4—22no—
1836C4—22no—
1837C4—24no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—81no—
1851C4—81no—
1852C4—81no—
1853C4—81no—
1854C4—81no—
1855C4—81no—
1856C4C2×D4211yescharacteristic
1857C4#348411yescharacteristic
1858C4#348411yescharacteristic
1859C4#353211yescharacteristic
1860C2—42no—
1861C2—42no—
1862C2—42no—
1863C2—81no—
1864C2—82no—
1865C2—82no—
1866C2—82no—
1867C2—161no—
1868C2—161no—
1869C2#5899011yescharacteristic
1870C2#6105011yescharacteristic
1871C2#6107111yescharacteristic
1872C2#6108711yescharacteristic
1873C2#6109511yescharacteristic
1874C2#6163311yescharacteristic
1875C2#6168211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×D4×SD16C2semidirect
2. C2×#3265C2semidirect
3. C2×#3010C2semidirect
4. C2×#3010C2semidirect
5. #44870C2semidirect
6. #35687C2semidirect
7. #31057C2semidirect
8. #30505C2semidirect
9. #30471C2semidirect
10. #30454C2semidirect
11. #25791C2semidirect
12. #25774C2semidirect
13. #25756C2semidirect
14. #25165C2semidirect
15. #25153C2semidirect
16. #25122C2semidirect
17. #25109C2semidirect
18. #25099C2semidirect
19. #25085C2semidirect
20. #24445C2semidirect
21. #24425C2semidirect
22. #24394C2semidirect
23. #24394C2semidirect
24. #24370C2semidirect
25. #24356C2semidirect
26. #23860C2semidirect
27. #23855C2semidirect
28. #23849C2semidirect
29. #22877C2semidirect
30. #22865C2semidirect
31. #22847C2semidirect
32. C22×2−1+4C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
36. C23×SD16C22semidirect
37. C23×SD16C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#548C22semidirect
49. C2×#492C22semidirect
51. C2×#468C22semidirect
52. C2×#466C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#461C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
73. C2×#448C22semidirect
74. C2×#448C22semidirect
75. C2×#448C22semidirect
76. C2×#448C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
79. C2×#448C22semidirect
80. C2×#448C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
86. C2×#440C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#435C22semidirect
89. C2×C8×D4C22semidirect
90. C2×#419C22semidirect
91. C2×#419C22semidirect
92. C2×#416C22semidirect
93. C2×#416C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
101. #2616C22semidirect
105. #2434C22semidirect
112. #2432C22semidirect
113. #2432C22semidirect
119. #2409C22semidirect
123. #2407C22semidirect
124. #2407C22semidirect
130. #2341C22semidirect
131. Q8×C22⋊C4C22semidirect
132. Q8×C22⋊C4C22semidirect
133. #2068C22semidirect
134. #2066C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2034C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
150. #2014C22semidirect
151. #2013C22semidirect
152. #2013C22semidirect
153. #2013C22semidirect
154. #2012C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #1999C22semidirect
165. #1981C22semidirect
166. #1973C22semidirect
167. #1970C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
178. #1895C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1879C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1873C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1854C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#103C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
375. #449D4semidirect
385. #448D4semidirect
603. C2×#41C2×D4semidirect
635. C22×Q8C2×D4semidirect
1000. #103C2×D4semidirect
1001. #103C2×D4semidirect
1002. #103C2×D4semidirect
1018. #102C2×D4semidirect
1028. C22⋊C8C2×D4semidirect
1029. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×SD162
C2×#32652
C2×#30102
#448702
#356872
#310572
#305052
#304712
#304542
#257912
#257742
#257562
#251652
#251532
#251222
#251092
#250992
#250852
#244452
#244252
#243942
#243702
#243562
#238602
#238552
#238492
#228772
#228652
#228472