Finite Group Databasebeta

← #6668484

Subgroups — #6668484

Order 512.

3150 conjugacy classes of subgroups.

The subgroup lattice has 1831 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3306C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39339C211yesmaximal, characteristic, complemented
4#36212C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31033C211yesmaximal, characteristic, complemented
7#31027C211yesmaximal, characteristic, complemented
8#30544C211yesmaximal, characteristic, complemented
9#30538C211yesmaximal, characteristic, complemented
10#30506C211yesmaximal, characteristic, complemented
11#30505C211yesmaximal, characteristic, complemented
12#30461C211yesmaximal, characteristic, complemented
13#30447C211yesmaximal, characteristic, complemented
14#29742C211yesmaximal, characteristic, complemented
15#29594C211yesmaximal, characteristic, complemented
16#27243C211yesmaximal, characteristic, complemented
17#27235C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25770C211yesmaximal, characteristic, complemented
20#25757C211yesmaximal, characteristic, complemented
21#25174C211yesmaximal, characteristic, complemented
22#25168C211yesmaximal, characteristic, complemented
23#24488C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#24372C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23972C211yesmaximal, characteristic, complemented
29#23861C211yesmaximal, characteristic, complemented
30#22582C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic, complemented
39C2×#535—21no—
40C22×#121C2211yescharacteristic, complemented
41#3306—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#493C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#483C2211yescharacteristic, complemented
47C2×#476C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#459C2211yescharacteristic, complemented
54C2×#459C2211yescharacteristic, complemented
55#3006—28no—
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#442C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic
77C2×#417C2211yescharacteristic, complemented
78C22×#102C2211yescharacteristic, complemented
79C2×#407C2211yescharacteristic, complemented
80#2849—21no—
81#2847C2211yescharacteristic
82#2847C2211yescharacteristic, complemented
83#2676—21no—
84#2676—21no—
85#2673—21no—
86#2673—21no—
87#2613—21no—
88#2541C2211yescharacteristic
89#2541C2211yescharacteristic, complemented
90#2491C2211yescharacteristic, complemented
91#2491C2211yescharacteristic, complemented
92#2436C2211yescharacteristic, complemented
93#2433C2211yescharacteristic, complemented
94#2431C2211yescharacteristic
95#2431C2211yescharacteristic, complemented
96#2430—21no—
97#2430—21no—
98#2428C2211yescharacteristic, complemented
99#2428C2211yescharacteristic, complemented
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic, complemented
102#2411—21no—
103#2410—21no—
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2404—21no—
109#2404—21no—
110#2404—21no—
111#2403—21no—
112#2344C2211yescharacteristic, complemented
113#2339C2211yescharacteristic
114#2339C2211yescharacteristic, complemented
115D4×C22⋊C4C2211yescharacteristic, complemented
116C4×#120C2211yescharacteristic
117C2×#386—21no—
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1935C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1927C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, 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×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C24×C4—21no—
226C24×C4C2311yescharacteristic
227C2×AGL(1,ℤ/8)—24no—
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C2×AGL(1,ℤ/8)—42no—
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C23×C8C2311yescharacteristic
251#547—24no—
252#547—42no—
253#546—24no—
254#546—42no—
255#546—42no—
256#546—42no—
257D42—42no—
258D42—42no—
259#535—48no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×#127—21no—
262C2×#127—21no—
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#124—21no—
267C2×#124—21no—
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—24no—
287C2×#121—42no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120D411yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×#117—21no—
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326#496—42no—
327#493—42no—
328#489—24no—
329#483—24no—
330#481—24no—
331#476—24no—
332#469—24no—
333#466—42no—
334#465—24no—
335#465—42no—
336#463—24no—
337#459—42no—
338#459—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—42no—
350#447—24no—
351#447—24no—
352#447—24no—
353#447—42no—
354#447—42no—
355#447—42no—
356#447—42no—
357#442—24no—
358#435—24no—
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367#417—24no—
368#417D418yescomplemented
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#102—24no—
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404#407—24no—
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×C22⋊C8C2311yescharacteristic
418C2×#97C2311yescharacteristic
419C2×#97C2311yescharacteristic
420C2×C4×C8C2311yescharacteristic
421#396—21no—
422#396—21no—
423#395—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#393—21no—
434#393—21no—
435#393—21no—
436#393—21no—
437#393—21no—
438#392—21no—
439#392—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#392—21no—
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#387—21no—
470#387—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—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#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386D411yescharacteristic
497#386D411yescharacteristic
498#386D411yescharacteristic
499#385—21no—
500#385—21no—
501#385—21no—
502#385D411yescharacteristic
503#385D411yescharacteristic
504#385D411yescharacteristic
505#381—21no—
506#381—21no—
507#381—21no—
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#379—21no—
515#379—21no—
516#379D411yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C2×#95—21no—
523C2×#95—21no—
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—
542C25—21no—
543C25C2×D411yescharacteristic
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—22no—
557C2×#41—44no—
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—44no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—44no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—416no—
576C2×#41—416no—
577C2×#41—416no—
578C2×#41—416no—
579C2×#41—82no—
580C2×#41C2×D414yes—
581C22×Q8—21no—
582C22×Q8—21no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
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—21no—
617C22×D4—22no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—22no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—82no—
644C22×D4—82no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—22no—
658C23×C4—22no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—41no—
668C23×C4—41no—
669C23×C4—41no—
670C23×C4—41no—
671C23×C4—44no—
672C23×C4—44no—
673C23×C4—44no—
674C23×C4C2×D411yescharacteristic
675C23×C4C2×D411yescharacteristic
676C23×C4C2×D411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681AGL(1,ℤ/8)—416no—
682AGL(1,ℤ/8)—416no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
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×SD16—41no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×M16—22no—
729C2×M16—41no—
730C2×M16—41no—
731C2×M16—41no—
732C2×M16—41no—
733C2×M16C2×D414yescomplemented
734C22×C8—22no—
735C22×C8—41no—
736C22×C8—41no—
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C4⋊Q8—22no—
746C4⋊Q8—41no—
747#127—22no—
748#127—41no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—41no—
753#127—44no—
754#127—44no—
755#124—22no—
756#124—22no—
757#124—41no—
758#124—41no—
759#124—44no—
760#124—44no—
761#123—44no—
762#123—44no—
763#123—44no—
764#123—44no—
765C22⋊Q8—22no—
766C22⋊Q8—22no—
767C22⋊Q8—44no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
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—22no—
779#121—22no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—41no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—44no—
794#121—44no—
795#121—44no—
796#121—44no—
797#121—44no—
798#121—44no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#120—24no—
808#120—44no—
809#120—44no—
810#120—44no—
811#120—44no—
812#120—44no—
813#120—44no—
814#120—44no—
815#120—82no—
816#120—82no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—41no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—41no—
830C4×D4—41no—
831#117—44no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—22no—
834C2×C4⋊C4—22no—
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×D411yescharacteristic
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D414yescomplemented
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—44no—
897C2×C22⋊C4—44no—
898C2×C22⋊C4—44no—
899C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C42—21no—
913C2×C42—21no—
914C2×C42C2411yescharacteristic
915C2×C42C2411yescharacteristic
916C2×C42C2411yescharacteristic
917#107—41no—
918#106—22no—
919#106—22no—
920#106—22no—
921#106—41no—
922C4⋊C8—22no—
923C4⋊C8—41no—
924C4⋊C8—41no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—41no—
930#103—41no—
931#103—41no—
932#103—41no—
933#103C2×D414yescomplemented
934#103C2×D414yescomplemented
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—22no—
944#102—22no—
945#102—41no—
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#102C2×D414yes—
958#102C2×D414yes—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8—41no—
972#97—22no—
973#97—41no—
974C4×C8—41no—
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#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995#95C2×D411yescharacteristic
996#95C2×D411yescharacteristic
997#95C2×D411yescharacteristic
998#95C2×D411yescharacteristic
999C24—21no—
1000C24—24no—
1001C24—21no—
1002C24—22no—
1003C24—22no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—41no—
1009C24—41no—
1010C24—41no—
1011C24—41no—
1012C24—41no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24C22×D411yescharacteristic
1034C24C22×D411yescharacteristic
1035C24C22×D411yescharacteristic
1036C24C22×D411yescharacteristic
1037#41—28no—
1038#41—28no—
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—44no—
1043#41—44no—
1044#41—44no—
1045#41—44no—
1046#41—44no—
1047#41—44no—
1048#41—44no—
1049#41—44no—
1050#41—44no—
1051#41—432no—
1052#41—432no—
1053#41—44no—
1054#41—44no—
1055#41—816no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—81no—
1076C2×Q8C22×D412yes—
1077C2×Q8H(5,𝔽2)12yes—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—21no—
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—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—432no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
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—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—42no—
1174C2×D4—82no—
1175C2×D4—82no—
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×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—82no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—816no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—816no—
1214C2×D4AGL(1,ℤ/8)14yescomplemented
1215C2×D4C22×D412yes—
1216C2×D4H(5,𝔽2)12yes—
1217C2×D4H(5,𝔽2)12yes—
1218C2×D4H(5,𝔽2)12yes—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—432no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D412yes—
1308C22×C4C22×D411yescharacteristic
1309C22×C4H(5,𝔽2)12yes—
1310C22×C4C2511yescharacteristic
1311SD16—44no—
1312SD16—44no—
1313SD16—44no—
1314SD16—44no—
1315SD16—82no—
1316SD16—82no—
1317D8—44no—
1318D8—44no—
1319D8—44no—
1320D8—44no—
1321D8—44no—
1322D8—82no—
1323D8—82no—
1324D8—82no—
1325D8—82no—
1326M16—44no—
1327M16—44no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—82no—
1351C2×C8C22×D412yes—
1352C2×C8C22×D412yes—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4C22×D412yes—
1378C4⋊C4C22×D412yes—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—42no—
1440C42—42no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—44no—
1471C23—44no—
1472C23—48no—
1473C23—48no—
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—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—82no—
1513C23—82no—
1514C23—82no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—82no—
1526C23—82no—
1527C23—84no—
1528C23—84no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23—162no—
1535C23—162no—
1536C23D4212yes—
1537C23C2×AGL(1,ℤ/8)12yes—
1538C23C2×AGL(1,ℤ/8)12yes—
1539C23C23×D411yescharacteristic
1540Q8—22no—
1541Q8—22no—
1542Q8—22no—
1543Q8—22no—
1544Q8—48no—
1545Q8—41no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—84no—
1550D4—22no—
1551D4—22no—
1552D4—22no—
1553D4—22no—
1554D4—22no—
1555D4—44no—
1556D4—44no—
1557D4—48no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—48no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—84no—
1581D4—84no—
1582D4—82no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—162no—
1593D4—162no—
1594D4—162no—
1595D4—162no—
1596D4—162no—
1597D4—162no—
1598D4—162no—
1599D4—162no—
1600D4—162no—
1601D4—162no—
1602D4—162no—
1603D4#53514yescomplemented
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—162no—
1691C2×C4—162no—
1692C2×C4D4212yes—
1693C2×C4C2×AGL(1,ℤ/8)12yes—
1694C2×C4C23×D411yescharacteristic
1695C2×C4C2×H(5,𝔽2)11yescharacteristic
1696C2×C4C2×H(5,𝔽2)11yescharacteristic
1697C2×C4C2×H(5,𝔽2)11yescharacteristic
1698C2×C4C2×H(5,𝔽2)11yescharacteristic
1699C2×C4C2×H(5,𝔽2)11yescharacteristic
1700C8—22no—
1701C8—22no—
1702C8—41no—
1703C8—41no—
1704C8—41no—
1705C8—41no—
1706C8—41no—
1707C8—41no—
1708C22—22no—
1709C22—24no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—41no—
1746C22—88no—
1747C22—816no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—168no—
1781C22—168no—
1782C22C2×D4211yescharacteristic
1783C22#348411yescharacteristic
1784C22#348411yescharacteristic
1785C22C22×AGL(1,ℤ/8)11yescharacteristic
1786C22#358411yescharacteristic
1787C22#358511yescharacteristic
1788C22#358511yescharacteristic
1789C4—22no—
1790C4—22no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4—81no—
1808C4—81no—
1809C4C2×#53511yescharacteristic
1810C4#348411yescharacteristic
1811C4#353211yescharacteristic
1812C4#353211yescharacteristic
1813C2—42no—
1814C2—42no—
1815C2—42no—
1816C2—44no—
1817C2—81no—
1818C2—82no—
1819C2—161no—
1820C2—161no—
1821C2—161no—
1822C2—161no—
1823C2#3764511yescharacteristic
1824C2D4×AGL(1,ℤ/8)11yescharacteristic
1825C2#6107711yescharacteristic
1826C2#6156911yescharacteristic
1827C2#6159811yescharacteristic
1828C2#6161411yescharacteristic
1829C2#6165311yescharacteristic
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×#3306C2semidirect
2. C2×#3006C2semidirect
3. #39339C2semidirect
4. #36212C2semidirect
5. #32880C2semidirect
6. #31033C2semidirect
7. #31027C2semidirect
8. #30544C2semidirect
9. #30538C2semidirect
10. #30506C2semidirect
11. #30505C2semidirect
12. #30461C2semidirect
13. #30447C2semidirect
14. #29742C2semidirect
15. #29594C2semidirect
16. #27243C2semidirect
17. #27235C2semidirect
18. #25794C2semidirect
19. #25770C2semidirect
20. #25757C2semidirect
21. #25174C2semidirect
22. #25168C2semidirect
23. #24488C2semidirect
24. #24434C2semidirect
25. #24424C2semidirect
26. #24372C2semidirect
27. #24275C2semidirect
28. #23972C2semidirect
29. #23861C2semidirect
30. #22582C2semidirect
31. #22036C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#547C22semidirect
37. C2×#546C22semidirect
38. C2×D42C22semidirect
40. C22×#121C22semidirect
42. C2×#496C22semidirect
43. C2×#493C22semidirect
44. C2×#489C22semidirect
45. C2×#481C22semidirect
46. C2×#483C22semidirect
47. C2×#476C22semidirect
48. C2×#469C22semidirect
49. C2×#466C22semidirect
50. C2×#465C22semidirect
51. C2×#465C22semidirect
52. C2×#463C22semidirect
53. C2×#459C22semidirect
54. C2×#459C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
66. C2×#448C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#447C22semidirect
74. C2×#442C22semidirect
75. C2×#435C22semidirect
77. C2×#417C22semidirect
78. C22×#102C22semidirect
79. C2×#407C22semidirect
82. #2847C22semidirect
89. #2541C22semidirect
90. #2491C22semidirect
91. #2491C22semidirect
92. #2436C22semidirect
93. #2433C22semidirect
95. #2431C22semidirect
98. #2428C22semidirect
99. #2428C22semidirect
101. #2416C22semidirect
104. #2409C22semidirect
105. #2408C22semidirect
107. #2407C22semidirect
112. #2344C22semidirect
114. #2339C22semidirect
115. D4×C22⋊C4C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2066C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1935C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1927C22semidirect
170. #1927C22semidirect
171. #1926C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1895C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1851C22semidirect
192. #1824C22semidirect
193. #1809C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1753C22semidirect
368. #417D4semidirect
733. C2×M16C2×D4semidirect
845. C2×C4⋊C4C2×D4semidirect
933. #103C2×D4semidirect
934. #103C2×D4semidirect
1214. C2×D4AGL(1,ℤ/8)semidirect
1603. D4#535semidirect

Maximal subgroups

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

subgroupindex
C2×#33062
C2×#30062
#393392
#362122
#328802
#310332
#310272
#305442
#305382
#305062
#305052
#304612
#304472
#297422
#295942
#272432
#272352
#257942
#257702
#257572
#251742
#251682
#244882
#244342
#244242
#243722
#242752
#239722
#238612
#225822
#220362