Finite Group Databasebeta

← #6668434

Subgroups — #6668434

Order 512.

2996 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3008C211yesmaximal, characteristic, complemented
3#42962C211yesmaximal, characteristic, complemented
4#35680C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31042C211yesmaximal, characteristic, complemented
7#31016C211yesmaximal, characteristic, complemented
8#30549C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30503C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#30458C211yesmaximal, characteristic, complemented
14#29747C211yesmaximal, characteristic, complemented
15#29602C211yesmaximal, characteristic, complemented
16#27253C211yesmaximal, characteristic, complemented
17#27229C211yesmaximal, characteristic, complemented
18#25793C211yesmaximal, characteristic, complemented
19#25763C211yesmaximal, characteristic, complemented
20#25762C211yesmaximal, characteristic, complemented
21#25178C211yesmaximal, characteristic, complemented
22#25164C211yesmaximal, characteristic, complemented
23#24486C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#24355C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23971C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22584C211yesmaximal, characteristic, complemented
31#22037C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic
35C2×#552C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic, complemented
40#3310—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54#3008—28no—
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic
76C2×#416C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78C2×#408C2211yescharacteristic, complemented
79#2820—21no—
80#2685—21no—
81#2685—21no—
82#2678—21no—
83#2678—21no—
84#2641—21no—
85#2619—21no—
86#2616C2211yescharacteristic, complemented
87#2615C2211yescharacteristic
88#2613—21no—
89#2610—21no—
90#2540C2211yescharacteristic, complemented
91#2540C2211yescharacteristic, complemented
92#2490C2211yescharacteristic, complemented
93#2490C2211yescharacteristic, complemented
94#2435C2211yescharacteristic, complemented
95#2433C2211yescharacteristic, complemented
96#2431C2211yescharacteristic
97#2431C2211yescharacteristic, complemented
98#2430—21no—
99#2426C2211yescharacteristic, complemented
100#2426C2211yescharacteristic, complemented
101#2416C2211yescharacteristic, complemented
102#2416C2211yescharacteristic, complemented
103#2410—21no—
104#2410—21no—
105#2408C2211yescharacteristic, complemented
106#2408C2211yescharacteristic, complemented
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic, complemented
109#2404—21no—
110#2403—21no—
111#2403—21no—
112#2388C2211yescharacteristic
113C2×#392—21no—
114#2346C2211yescharacteristic, complemented
115#2339C2211yescharacteristic, complemented
116D4×C22⋊C4C2211yescharacteristic
117D4×C22⋊C4C2211yescharacteristic, complemented
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#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
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#1973C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1780C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—42no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C23×D4—21no—
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×D8—24no—
237C22×D8—42no—
238C22×D8—42no—
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#552—24no—
251#552—42no—
252#546—42no—
253#546—42no—
254D42—24no—
255D42—42no—
256D42—42no—
257D42—42no—
258#535—24no—
259#535—42no—
260C2×#127—21no—
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#126—21no—
264C2×#125—21no—
265C2×#125C2311yescharacteristic
266C2×#124—21no—
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×#123—21no—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×C4×Q8C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×#117—21no—
312C2×#117C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317#496—42no—
318#495—42no—
319#490—24no—
320#482—24no—
321#480—24no—
322#478—24no—
323#468—24no—
324#466—42no—
325#465—24no—
326#465—42no—
327#463—42no—
328#463—42no—
329#460—24no—
330#452—42no—
331#452—42no—
332#452—42no—
333#450—24no—
334#450—24no—
335#450—42no—
336#450—42no—
337#449—24no—
338#449—24no—
339#449—24no—
340#449—24no—
341#447—24no—
342#447—24no—
343#447—24no—
344#447—24no—
345#447—42no—
346#447—42no—
347#447—42no—
348#440—24no—
349#435—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358#418D418yescomplemented
359#416—24no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#102—24no—
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395#408—24no—
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412#399—21no—
413#399—21no—
414#397—21no—
415#397—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#395—21no—
421#395D411yescharacteristic
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#394D411yescharacteristic
438#394D411yescharacteristic
439#394D411yescharacteristic
440#393—21no—
441#393D411yescharacteristic
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#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392D411yescharacteristic
458#392D411yescharacteristic
459#392D411yescharacteristic
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#389C2311yescharacteristic
479#389C2311yescharacteristic
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#388—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#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#385—21no—
501#385—21no—
502#382—21no—
503#381—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#379—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#376—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546H(5,𝔽2)—416no—
547H(5,𝔽2)—416no—
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—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—44no—
575C22×Q8C2×D411yescharacteristic
576C22×Q8C2411yescharacteristic
577C22×Q8C2411yescharacteristic
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—21no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—22no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—22no—
614C22×D4—22no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—82no—
642C22×D4—82no—
643C22×D4—82no—
644C22×D4—82no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D414yes—
647C22×D4C2×D411yescharacteristic
648C22×D4C2×D411yescharacteristic
649C22×D4C2×D411yescharacteristic
650C22×D4C2×D411yescharacteristic
651C22×D4C2×D411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C22×D4C2411yescharacteristic
657C22×D4C2411yescharacteristic
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669AGL(1,ℤ/8)—416no—
670C2×Q16—22no—
671C2×Q16—41no—
672C2×Q16—41no—
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—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—416no—
716C2×M16—41no—
717C2×M16—41no—
718C2×M16C2×D414yescomplemented
719C22×C8—22no—
720C22×C8—22no—
721C22×C8—41no—
722C22×C8—41no—
723C22×C8—41no—
724C22×C8—41no—
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733#127—22no—
734#127—22no—
735#127—41no—
736#127—41no—
737#127—44no—
738#126—44no—
739#125—22no—
740#125—41no—
741#125—44no—
742#124—22no—
743#124—41no—
744#124—44no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#123—44no—
750#123—44no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—82no—
787#121—82no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—82no—
796#120—82no—
797#120—82no—
798#120—82no—
799C4×Q8—22no—
800C4×Q8—41no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813#117—22no—
814#117—44no—
815#117C2×D414yescomplemented
816C2×C4⋊C4—22no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—41no—
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—44no—
889C2×C22⋊C4—82no—
890C2×C22⋊C4—82no—
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910#107—22no—
911#107—22no—
912#107—41no—
913#106—22no—
914#106—41no—
915C4⋊C8—22no—
916C4⋊C8—41no—
917C4⋊C8—41no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102C2×D414yes—
949#102C2×D414yes—
950#102C2×D414yescomplemented
951#102C2×D414yescomplemented
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965#97—22no—
966#97—41no—
967C4×C8—41no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988C24—21no—
989C24—24no—
990C24—21no—
991C24—21no—
992C24—24no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24C22×D411yescharacteristic
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032C24C22×D411yescharacteristic
1033#41—28no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
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—432no—
1048#41—44no—
1049#41—44no—
1050C2×Q8—22no—
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—21no—
1061C2×Q8—21no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8H(5,𝔽2)12yes—
1065C2×D4—28no—
1066C2×D4—24no—
1067C2×D4—24no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—24no—
1075C2×D4—22no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
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—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—432no—
1157C2×D4—432no—
1158C2×D4—432no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
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—82no—
1174C2×D4—82no—
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—82no—
1184C2×D4—82no—
1185C2×D4—82no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—816no—
1207C2×D4—816no—
1208C2×D4C22×D412yes—
1209C2×D4C22×D412yes—
1210C2×D4H(5,𝔽2)12yes—
1211C2×D4H(5,𝔽2)12yes—
1212C2×D4H(5,𝔽2)12yes—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—24no—
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—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—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D412yes—
1277C22×C4H(5,𝔽2)12yes—
1278C22×C4C2511yescharacteristic
1279Q16—82no—
1280SD16—44no—
1281SD16—44no—
1282SD16—44no—
1283SD16—82no—
1284SD16—82no—
1285SD16—82no—
1286D8—44no—
1287D8—44no—
1288D8—44no—
1289D8—44no—
1290D8—44no—
1291D8—44no—
1292D8—82no—
1293D8—82no—
1294M16—44no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—44no—
1318C2×C8—82no—
1319C2×C8C22×D412yes—
1320C2×C8C22×D412yes—
1321C4⋊C4—22no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—81no—
1346C4⋊C4—81no—
1347C4⋊C4—81no—
1348C4⋊C4—81no—
1349C4⋊C4C22×D412yes—
1350C4⋊C4C22×D412yes—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C42—24no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—21no—
1418C42—42no—
1419C42—81no—
1420C42—81no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—48no—
1453C23—48no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—48no—
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—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23—162no—
1505C23—162no—
1506C23—162no—
1507C23—162no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23D4212yes—
1525C23#57612yes—
1526C23C23×D411yescharacteristic
1527Q8—22no—
1528Q8—22no—
1529Q8—44no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536D4—22no—
1537D4—22no—
1538D4—22no—
1539D4—22no—
1540D4—22no—
1541D4—22no—
1542D4—22no—
1543D4—48no—
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—48no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—84no—
1571D4—82no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—162no—
1580D4—162no—
1581D4—162no—
1582D4—162no—
1583D4—162no—
1584D4—162no—
1585D4—162no—
1586D4—162no—
1587D4—162no—
1588D4#53514yes—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—162no—
1671C2×C4D4212yes—
1672C2×C4C23×D411yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4C2×H(5,𝔽2)11yescharacteristic
1675C2×C4C2×H(5,𝔽2)11yescharacteristic
1676C2×C4C2×H(5,𝔽2)11yescharacteristic
1677C2×C4C2×H(5,𝔽2)11yescharacteristic
1678C8—22no—
1679C8—22no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C8—41no—
1684C8—41no—
1685C8—41no—
1686C22—22no—
1687C22—24no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—42no—
1725C22—41no—
1726C22—41no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—168no—
1757C22—168no—
1758C22—168no—
1759C22—168no—
1760C22—168no—
1761C22C2×D4211yescharacteristic
1762C22#348411yescharacteristic
1763C22#348411yescharacteristic
1764C22C2×#57611yescharacteristic
1765C22#358411yescharacteristic
1766C22#358511yescharacteristic
1767C22#358511yescharacteristic
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—81no—
1782C4—81no—
1783C4—81no—
1784C4—81no—
1785C4—81no—
1786C4—81no—
1787C4—81no—
1788C4C2×#53511yescharacteristic
1789C4#348411yescharacteristic
1790C4#353211yescharacteristic
1791C4#353211yescharacteristic
1792C2—42no—
1793C2—42no—
1794C2—44no—
1795C2—81no—
1796C2—81no—
1797C2—82no—
1798C2—82no—
1799C2—161no—
1800C2—161no—
1801C2—161no—
1802C2#3764511yescharacteristic
1803C2#6107211yescharacteristic
1804C2#6109211yescharacteristic
1805C2#6160911yescharacteristic
1806C2#6163911yescharacteristic
1807C2#6167511yescharacteristic
1808C2#6167811yescharacteristic
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×#3310C2semidirect
2. C2×#3008C2semidirect
3. #42962C2semidirect
4. #35680C2semidirect
5. #32886C2semidirect
6. #31042C2semidirect
7. #31016C2semidirect
8. #30549C2semidirect
9. #30539C2semidirect
10. #30503C2semidirect
11. #30501C2semidirect
12. #30472C2semidirect
13. #30458C2semidirect
14. #29747C2semidirect
15. #29602C2semidirect
16. #27253C2semidirect
17. #27229C2semidirect
18. #25793C2semidirect
19. #25763C2semidirect
20. #25762C2semidirect
21. #25178C2semidirect
22. #25164C2semidirect
23. #24486C2semidirect
24. #24434C2semidirect
25. #24424C2semidirect
26. #24355C2semidirect
27. #24275C2semidirect
28. #23971C2semidirect
29. #23848C2semidirect
30. #22584C2semidirect
31. #22037C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#552C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×#535C22semidirect
41. C2×#496C22semidirect
42. C2×#495C22semidirect
43. C2×#490C22semidirect
44. C2×#482C22semidirect
45. C2×#480C22semidirect
46. C2×#478C22semidirect
47. C2×#468C22semidirect
48. C2×#466C22semidirect
49. C2×#465C22semidirect
50. C2×#465C22semidirect
51. C2×#460C22semidirect
52. C2×#463C22semidirect
53. C2×#463C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×#435C22semidirect
76. C2×#416C22semidirect
77. C22×#102C22semidirect
78. C2×#408C22semidirect
86. #2616C22semidirect
90. #2540C22semidirect
91. #2540C22semidirect
92. #2490C22semidirect
93. #2490C22semidirect
94. #2435C22semidirect
95. #2433C22semidirect
97. #2431C22semidirect
99. #2426C22semidirect
100. #2426C22semidirect
101. #2416C22semidirect
102. #2416C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
108. #2407C22semidirect
114. #2346C22semidirect
115. #2339C22semidirect
117. D4×C22⋊C4C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2035C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2015C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2001C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1972C22semidirect
163. #1970C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1893C22semidirect
177. #1892C22semidirect
178. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1878C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1869C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1850C22semidirect
192. #1825C22semidirect
193. #1809C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1780C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1753C22semidirect
358. #418D4semidirect
718. C2×M16C2×D4semidirect
815. #117C2×D4semidirect
950. #102C2×D4semidirect
951. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#30082
#429622
#356802
#328862
#310422
#310162
#305492
#305392
#305032
#305012
#304722
#304582
#297472
#296022
#272532
#272292
#257932
#257632
#257622
#251782
#251642
#244862
#244342
#244242
#243552
#242752
#239712
#238482
#225842
#220372