Finite Group Databasebeta

← #6668489

Subgroups — #6668489

Order 512.

3047 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3308C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39339C211yesmaximal, characteristic, complemented
4#36428C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31042C211yesmaximal, characteristic, complemented
7#31016C211yesmaximal, characteristic, complemented
8#30545C211yesmaximal, characteristic, complemented
9#30535C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30499C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#30454C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29598C211yesmaximal, characteristic, complemented
16#27239C211yesmaximal, characteristic, complemented
17#27231C211yesmaximal, characteristic, complemented
18#25791C211yesmaximal, characteristic, complemented
19#25768C211yesmaximal, characteristic, complemented
20#25756C211yesmaximal, characteristic, complemented
21#25179C211yesmaximal, characteristic, complemented
22#25165C211yesmaximal, characteristic, complemented
23#24489C211yesmaximal, characteristic, complemented
24#24439C211yesmaximal, characteristic, complemented
25#24429C211yesmaximal, characteristic, complemented
26#24370C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23972C211yesmaximal, characteristic, complemented
29#23866C211yesmaximal, characteristic, complemented
30#22583C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×D4×Q8C2211yescharacteristic, complemented
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic, complemented
38C2×#547C2211yescharacteristic, complemented
39C2×#535—21no—
40C22×#121C2211yescharacteristic
41#3308—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#492C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic, complemented
45C2×#484C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#477C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55#3006—28no—
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#448C2211yescharacteristic
66C2×#448C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic, complemented
74C2×#440C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic
77C2×#417C2211yescharacteristic
78C22×#103C2211yescharacteristic, complemented
79C2×#407C2211yescharacteristic
80#2848—21no—
81#2848C2211yescharacteristic
82#2847C2211yescharacteristic
83#2676—21no—
84#2676—21no—
85#2673—21no—
86#2673—21no—
87#2613—21no—
88#2541C2211yescharacteristic
89#2541C2211yescharacteristic, complemented
90#2491C2211yescharacteristic
91#2491C2211yescharacteristic, complemented
92#2435—21no—
93#2435C2211yescharacteristic, complemented
94#2433C2211yescharacteristic, complemented
95#2432—21no—
96#2432—21no—
97#2432C2211yescharacteristic
98#2432C2211yescharacteristic, complemented
99#2428C2211yescharacteristic
100#2428C2211yescharacteristic, complemented
101#2416C2211yescharacteristic
102#2416C2211yescharacteristic, complemented
103#2411—21no—
104#2408—21no—
105#2408C2211yescharacteristic, complemented
106#2408C2211yescharacteristic, complemented
107#2407—21no—
108#2407—21no—
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2404—21no—
112#2344C2211yescharacteristic, complemented
113#2341C2211yescharacteristic
114#2341C2211yescharacteristic, complemented
115Q8×C22⋊C4C2211yescharacteristic, complemented
116C4×#120—21no—
117C4×#120C2211yescharacteristic
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1981C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—21no—
208C22×#41—24no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—21no—
225C24×C4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—24no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250D4×Q8—42no—
251D4×Q8—42no—
252#548—24no—
253#548—42no—
254#548—42no—
255#548—42no—
256#547—24no—
257#547—42no—
258#535—48no—
259C2×C4⋊Q8—21no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×C4⋊Q8C2311yescharacteristic
262C2×#127—21no—
263C2×#127—21no—
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#124—21no—
267C2×#124—21no—
268C2×#124—21no—
269C2×#124—21no—
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#123—21no—
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8—21no—
278C2×C22⋊Q8—21no—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—24no—
292C2×#121—42no—
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120D411yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117—21no—
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C22⋊C4—21no—
325#496—42no—
326#492—42no—
327#489—24no—
328#484—24no—
329#480—24no—
330#477—24no—
331#468—24no—
332#466—24no—
333#466—42no—
334#465—42no—
335#463—24no—
336#460—42no—
337#460—42no—
338#450—42no—
339#449—24no—
340#449—24no—
341#449—24no—
342#449—24no—
343#449—24no—
344#449—42no—
345#449—42no—
346#449—42no—
347#448—24no—
348#448—24no—
349#448—24no—
350#448—42no—
351#448—42no—
352#448—42no—
353#447—24no—
354#447—24no—
355#447—42no—
356#440—24no—
357#435—24no—
358C2×#107C2311yescharacteristic
359C2×#107C2311yescharacteristic
360C2×#107C2311yescharacteristic
361C2×#107C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366#417—24no—
367#417D418yescomplemented
368C2×#103—24no—
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403#407—24no—
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×#97C2311yescharacteristic
418C2×#97C2311yescharacteristic
419C2×C4×C8C2311yescharacteristic
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#394—21no—
438#393—21no—
439#393—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#391—21no—
453#391—21no—
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#388—21no—
473#388—21no—
474#387—21no—
475#387—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386D411yescharacteristic
486#386D411yescharacteristic
487#386D411yescharacteristic
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385D411yescharacteristic
498#385D411yescharacteristic
499#385D411yescharacteristic
500#381—21no—
501#380—21no—
502#380—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515#379D411yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4—21no—
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523C4×C22⋊C4C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25C2×D411yescharacteristic
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—44no—
557C2×#41—41no—
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—44no—
568C2×#41—44no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—44no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—416no—
575C2×#41—416no—
576C2×#41—416no—
577C2×#41—416no—
578C2×#41—82no—
579C2×#41C2×D414yes—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—21no—
583C22×Q8—21no—
584C22×Q8—21no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—22no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—82no—
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—22no—
651C23×C4—22no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—41no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—44no—
662C23×C4—44no—
663C23×C4—44no—
664C23×C4C2×D411yescharacteristic
665C23×C4C2×D411yescharacteristic
666C23×C4C2×D411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671AGL(1,ℤ/8)—416no—
672AGL(1,ℤ/8)—416no—
673C2×SD16—22no—
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—22no—
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×SD16—41no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×M16—22no—
719C2×M16—41no—
720C2×M16—41no—
721C2×M16—41no—
722C2×M16—41no—
723C2×M16C2×D414yes—
724C22×C8—22no—
725C22×C8—41no—
726C22×C8—41no—
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C4⋊Q8—22no—
736C4⋊Q8—22no—
737C4⋊Q8—41no—
738C4⋊Q8—41no—
739C4⋊Q8—44no—
740#127—41no—
741#127—41no—
742#127—41no—
743#127—41no—
744#127—44no—
745#127—44no—
746#124—22no—
747#124—22no—
748#124—41no—
749#124—41no—
750#124—44no—
751#124—44no—
752#124—44no—
753#124—44no—
754#123—44no—
755#123—44no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—44no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—44no—
766C22⋊Q8—44no—
767C22⋊Q8—44no—
768C22⋊Q8—44no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—44no—
779#121—44no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#120—24no—
802#120—44no—
803#120—44no—
804#120—44no—
805#120—44no—
806#120—82no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8—22no—
810C4×Q8—41no—
811C4×Q8—41no—
812C4×Q8—41no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—44no—
824#117—44no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—22no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—41no—
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2×D414yes—
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
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—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—44no—
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C42—21no—
911C2×C42—21no—
912C2×C42—21no—
913C2×C42—21no—
914C2×C42—21no—
915C2×C42C2411yescharacteristic
916C2×C42C2411yescharacteristic
917C2×C42C2411yescharacteristic
918#107—22no—
919#107—22no—
920#107—22no—
921#107—41no—
922#106—41no—
923C4⋊C8—22no—
924C4⋊C8—41no—
925C4⋊C8—41no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—22no—
931#103—22no—
932#103—22no—
933#103—22no—
934#103—22no—
935#103—41no—
936#103—41no—
937#103—41no—
938#103—41no—
939#103C2×D414yes—
940#103C2×D414yes—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102—41no—
955#102—41no—
956#102—41no—
957#102—41no—
958#102C2×D414yes—
959#102C2×D414yes—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—22no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8—41no—
972C22⋊C8—41no—
973#97—22no—
974#97—41no—
975C4×C8—41no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992#95C2×D411yescharacteristic
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995#95C2×D411yescharacteristic
996C24—21no—
997C24—21no—
998C24—22no—
999C24—22no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—41no—
1004C24—41no—
1005C24—41no—
1006C24—41no—
1007C24—41no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24C22×D411yescharacteristic
1023C24C22×D411yescharacteristic
1024C24C22×D411yescharacteristic
1025C24C22×D411yescharacteristic
1026#41—28no—
1027#41—28no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—432no—
1041#41—432no—
1042#41—44no—
1043#41—44no—
1044#41—816no—
1045C2×Q8—24no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—42no—
1061C2×Q8—42no—
1062C2×Q8—42no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—81no—
1073C2×Q8—82no—
1074C2×Q8—82no—
1075C2×Q8—82no—
1076C2×Q8C22×D412yes—
1077C2×Q8H(5,𝔽2)12yes—
1078C2×Q8H(5,𝔽2)12yes—
1079C2×Q8H(5,𝔽2)12yes—
1080C2×D4—24no—
1081C2×D4—22no—
1082C2×D4—24no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—21no—
1086C2×D4—21no—
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—21no—
1112C2×D4—21no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
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—44no—
1126C2×D4—44no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—432no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
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×D4—81no—
1182C2×D4—81no—
1183C2×D4—816no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4AGL(1,ℤ/8)14yescomplemented
1193C2×D4C22×D412yes—
1194C2×D4H(5,𝔽2)12yes—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
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—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—432no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D412yes—
1279C22×C4C22×D411yescharacteristic
1280C22×C4H(5,𝔽2)12yes—
1281C22×C4C2511yescharacteristic
1282SD16—44no—
1283SD16—44no—
1284SD16—44no—
1285SD16—44no—
1286SD16—44no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290SD16—82no—
1291D8—44no—
1292D8—44no—
1293D8—44no—
1294D8—44no—
1295D8—82no—
1296D8—82no—
1297M16—44no—
1298M16—44no—
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—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—82no—
1322C2×C8C22×D412yes—
1323C2×C8C22×D412yes—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4C22×D412yes—
1356C4⋊C4C22×D412yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
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—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
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—
1411C22⋊C4—81no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—21no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
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—21no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—44no—
1451C23—44no—
1452C23—48no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
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—82no—
1487C23—82no—
1488C23—82no—
1489C23—84no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—82no—
1496C23—82no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—162no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23D4212yes—
1505C23C2×AGL(1,ℤ/8)12yes—
1506C23C2×AGL(1,ℤ/8)12yes—
1507C23C23×D411yescharacteristic
1508Q8—22no—
1509Q8—22no—
1510Q8—22no—
1511Q8—22no—
1512Q8—22no—
1513Q8—48no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—84no—
1521Q8—84no—
1522Q8#53514yescomplemented
1523D4—22no—
1524D4—22no—
1525D4—22no—
1526D4—22no—
1527D4—44no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—84no—
1551D4—82no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—162no—
1561D4—162no—
1562D4—162no—
1563D4—162no—
1564D4—162no—
1565D4—162no—
1566D4—162no—
1567D4—162no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—48no—
1615C2×C4—41no—
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—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4D4212yes—
1658C2×C4C2×AGL(1,ℤ/8)12yes—
1659C2×C4C23×D411yescharacteristic
1660C2×C4C2×H(5,𝔽2)11yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4C2×H(5,𝔽2)11yescharacteristic
1663C2×C4C2×H(5,𝔽2)11yescharacteristic
1664C2×C4C2×H(5,𝔽2)11yescharacteristic
1665C8—22no—
1666C8—22no—
1667C8—41no—
1668C8—41no—
1669C8—41no—
1670C8—41no—
1671C8—41no—
1672C8—41no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—88no—
1708C22—816no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—168no—
1739C22C2×D4211yescharacteristic
1740C22#348411yescharacteristic
1741C22#348411yescharacteristic
1742C22C22×AGL(1,ℤ/8)11yescharacteristic
1743C22#358411yescharacteristic
1744C22#358511yescharacteristic
1745C22#358611yescharacteristic
1746C4—22no—
1747C4—24no—
1748C4—22no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—81no—
1761C4—81no—
1762C4—81no—
1763C4—81no—
1764C4—81no—
1765C4—81no—
1766C4—81no—
1767C4C2×#53511yescharacteristic
1768C4#348411yescharacteristic
1769C4#353211yescharacteristic
1770C4#353211yescharacteristic
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—81no—
1775C2—82no—
1776C2—82no—
1777C2—161no—
1778C2—161no—
1779C2—161no—
1780C2#3764511yescharacteristic
1781C2D4×AGL(1,ℤ/8)11yescharacteristic
1782C2#6107811yescharacteristic
1783C2#6157211yescharacteristic
1784C2#6159811yescharacteristic
1785C2#6161611yescharacteristic
1786C2#6165611yescharacteristic
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×#3308C2semidirect
2. C2×#3006C2semidirect
3. #39339C2semidirect
4. #36428C2semidirect
5. #32880C2semidirect
6. #31042C2semidirect
7. #31016C2semidirect
8. #30545C2semidirect
9. #30535C2semidirect
10. #30505C2semidirect
11. #30499C2semidirect
12. #30468C2semidirect
13. #30454C2semidirect
14. #29744C2semidirect
15. #29598C2semidirect
16. #27239C2semidirect
17. #27231C2semidirect
18. #25791C2semidirect
19. #25768C2semidirect
20. #25756C2semidirect
21. #25179C2semidirect
22. #25165C2semidirect
23. #24489C2semidirect
24. #24439C2semidirect
25. #24429C2semidirect
26. #24370C2semidirect
27. #24275C2semidirect
28. #23972C2semidirect
29. #23866C2semidirect
30. #22583C2semidirect
31. #22036C2semidirect
35. C2×D4×Q8C22semidirect
37. C2×#548C22semidirect
38. C2×#547C22semidirect
42. C2×#496C22semidirect
43. C2×#492C22semidirect
44. C2×#489C22semidirect
45. C2×#484C22semidirect
46. C2×#480C22semidirect
47. C2×#477C22semidirect
48. C2×#468C22semidirect
49. C2×#466C22semidirect
50. C2×#466C22semidirect
51. C2×#465C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#463C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
66. C2×#448C22semidirect
67. C2×#448C22semidirect
68. C2×#448C22semidirect
69. C2×#448C22semidirect
70. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#440C22semidirect
75. C2×#435C22semidirect
78. C22×#103C22semidirect
89. #2541C22semidirect
91. #2491C22semidirect
93. #2435C22semidirect
94. #2433C22semidirect
98. #2432C22semidirect
100. #2428C22semidirect
102. #2416C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
110. #2407C22semidirect
112. #2344C22semidirect
114. #2341C22semidirect
115. Q8×C22⋊C4C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2036C22semidirect
129. #2035C22semidirect
130. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2014C22semidirect
139. #2013C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1981C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1972C22semidirect
163. #1970C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1865C22semidirect
190. #1863C22semidirect
191. #1851C22semidirect
192. #1824C22semidirect
193. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
204. #1753C22semidirect
367. #417D4semidirect
1192. C2×D4AGL(1,ℤ/8)semidirect
1522. Q8#535semidirect

Maximal subgroups

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

subgroupindex
C2×#33082
C2×#30062
#393392
#364282
#328802
#310422
#310162
#305452
#305352
#305052
#304992
#304682
#304542
#297442
#295982
#272392
#272312
#257912
#257682
#257562
#251792
#251652
#244892
#244392
#244292
#243702
#242752
#239722
#238662
#225832
#220362