Finite Group Databasebeta

← #6667857

Subgroups — #6667857

Order 512.

2976 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3268C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39466C211yesmaximal, characteristic, complemented
4#36429C211yesmaximal, characteristic, complemented
5#32883C211yesmaximal, characteristic, complemented
6#31068C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#31000C211yesmaximal, characteristic, complemented
9#30995C211yesmaximal, characteristic, complemented
10#30463C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30400C211yesmaximal, characteristic, complemented
13#30398C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29594C211yesmaximal, characteristic, complemented
16#28366C211yesmaximal, characteristic, complemented
17#28101C211yesmaximal, characteristic, complemented
18#25177C211yesmaximal, characteristic, complemented
19#25155C211yesmaximal, characteristic, complemented
20#24914C211yesmaximal, characteristic, complemented
21#24912C211yesmaximal, characteristic, complemented
22#24543C211yesmaximal, characteristic, complemented
23#24366C211yesmaximal, characteristic, complemented
24#24250C211yesmaximal, characteristic, complemented
25#24244C211yesmaximal, characteristic, complemented
26#24045C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23857C211yesmaximal, characteristic, complemented
29#23854C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic
41#3268—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#466C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#459C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50#3006—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic, complemented
54C2×#452C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#448C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic
75C2×#417C2211yescharacteristic
76C2×#407C2211yescharacteristic
77#2848C2211yescharacteristic
78#2847—21no—
79#2847C2211yescharacteristic
80#2708—21no—
81#2708—21no—
82#2688—21no—
83#2688—21no—
84#2613—21no—
85#2535C2211yescharacteristic
86#2535C2211yescharacteristic, complemented
87#2503C2211yescharacteristic, complemented
88#2486C2211yescharacteristic, complemented
89#2483—21no—
90#2433—21no—
91#2433C2211yescharacteristic, complemented
92#2431—21no—
93#2431—21no—
94#2431C2211yescharacteristic
95#2431C2211yescharacteristic, complemented
96#2427C2211yescharacteristic
97#2427C2211yescharacteristic, complemented
98#2420C2211yescharacteristic
99#2420C2211yescharacteristic, complemented
100#2412—21no—
101#2408—21no—
102#2408C2211yescharacteristic, complemented
103#2407—21no—
104#2407—21no—
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2407C2211yescharacteristic, complemented
109#2341C2211yescharacteristic
110#2341C2211yescharacteristic, complemented
111Q8×C22⋊C4C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic, complemented
113#2308—21no—
114C4×#120—21no—
115C4×#120C2211yescharacteristic
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1972C2211yescharacteristic, complemented
157#1971C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
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)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)D418yescomplemented
232C2×#135—24no—
233C2×#135—42no—
234C2×#135—42no—
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#550—24no—
254#550—42no—
255#550—42no—
256#550—42no—
257#548—42no—
258#548—42no—
259#546—24no—
260#546—42no—
261C2×#127—21no—
262C2×#127—21no—
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#124—21no—
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#123—21no—
269C2×#123—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—24no—
284C2×#121—42no—
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120D411yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317#496—24no—
318#481—42no—
319#468—24no—
320#466—24no—
321#464—24no—
322#463—42no—
323#459—24no—
324#459—42no—
325#452—24no—
326#452—42no—
327#452—42no—
328#452—42no—
329#452—42no—
330#451—42no—
331#450—42no—
332#449—24no—
333#449—24no—
334#449—24no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—42no—
339#448—24no—
340#448—24no—
341#447—24no—
342#447—24no—
343#447—24no—
344#440—24no—
345#440—42no—
346C4×SD16—42no—
347#435—24no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#417—24no—
357#417—24no—
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
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
392#407—24no—
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#400—21no—
410#400—21no—
411#398—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#391—21no—
442#391—21no—
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386D411yescharacteristic
481#386D411yescharacteristic
482#386D411yescharacteristic
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385D411yescharacteristic
491#385D411yescharacteristic
492#385D411yescharacteristic
493#382C2311yescharacteristic
494#382C2311yescharacteristic
495#381—21no—
496#381—21no—
497#381—21no—
498#381—21no—
499#381—21no—
500#380—21no—
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379D411yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
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—
541C25C2×D411yescharacteristic
542C2×#41—22no—
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—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—44no—
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—41no—
573C2×#41—41no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—44no—
581C2×#41—44no—
582C2×#41—44no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41—416no—
587C2×#41C2×D414yes—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—21no—
591C22×Q8—22no—
592C22×Q8—22no—
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—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—22no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—82no—
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D414yes—
640C22×D4C2×D411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—22no—
650C23×C4—22no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—41no—
663C23×C4—44no—
664C23×C4—44no—
665C23×C4—44no—
666C23×C4C2×D411yescharacteristic
667C23×C4C2×D411yescharacteristic
668C23×C4C2×D411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673AGL(1,ℤ/8)—416no—
674AGL(1,ℤ/8)—416no—
675#135—416no—
676C2×Q16—22no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—22no—
680C2×Q16—41no—
681C2×Q16—41no—
682C2×SD16—22no—
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—22no—
692C2×SD16—22no—
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×SD16C2×D414yes—
702C2×SD16C2×D414yes—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
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×D8—41no—
719C2×D8C2×D414yes—
720C2×D8C2×D414yes—
721C2×M16—22no—
722C2×M16—41no—
723C2×M16—41no—
724C2×M16—41no—
725C2×M16—41no—
726C2×M16C2×D414yes—
727C22×C8—22no—
728C22×C8—41no—
729C22×C8—41no—
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738#127—22no—
739#127—22no—
740#127—41no—
741#127—41no—
742#127—44no—
743#127—44no—
744#124—22no—
745#124—22no—
746#124—41no—
747#124—41no—
748#124—44no—
749#123—44no—
750#123—82no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—41no—
755C22⋊Q8—44no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760#121—22no—
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—44no—
770#121—44no—
771#121—44no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—44no—
788#120—42no—
789#120—44no—
790#120—44no—
791#120—82no—
792#120—82no—
793#120—82no—
794C4×Q8—22no—
795C4×Q8—22no—
796C4×Q8—22no—
797C4×Q8—41no—
798C4×Q8—41no—
799C4×Q8—41no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815C2×C4⋊C4—22no—
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⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4—82no—
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C42—21no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900#107—22no—
901#107—41no—
902#106—41no—
903#106—41no—
904#106—41no—
905C4⋊C8—22no—
906C4⋊C8—41no—
907C4⋊C8—41no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955#97—22no—
956#97—41no—
957C4×C8—41no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—22no—
991C24—24no—
992C24—22no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016#41—28no—
1017#41—28no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—432no—
1031#41—432no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042C2×Q8—24no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
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—42no—
1058C2×Q8—42no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8C22×D412yes—
1064C2×Q8H(5,𝔽2)12yes—
1065C2×Q8H(5,𝔽2)12yes—
1066C2×Q8H(5,𝔽2)12yes—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—24no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
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—44no—
1099C2×D4—44no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
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—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—432no—
1132C2×D4—44no—
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—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
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—816no—
1178C2×D4C22×D412yes—
1179C2×D4C22×D412yes—
1180C2×D4C22×D412yes—
1181C2×D4H(5,𝔽2)12yes—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—21no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—432no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D412yes—
1273C22×C4H(5,𝔽2)12yes—
1274C22×C4C2511yescharacteristic
1275Q16—44no—
1276Q16—82no—
1277SD16—28no—
1278SD16—28no—
1279SD16—44no—
1280SD16—44no—
1281SD16—44no—
1282SD16—82no—
1283SD16—82no—
1284D8—44no—
1285D8—44no—
1286D8—44no—
1287D8—44no—
1288D8—44no—
1289D8—82no—
1290M16—44no—
1291M16—44no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—44no—
1315C2×C8C22×D412yes—
1316C2×C8C22×D412yes—
1317C4⋊C4—22no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—81no—
1343C4⋊C4—81no—
1344C4⋊C4—81no—
1345C4⋊C4—81no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
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—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—44no—
1439C23—44no—
1440C23—48no—
1441C23—48no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
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—82no—
1474C23—82no—
1475C23—82no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—82no—
1482C23—82no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23D4212yes—
1491C23#57512yes—
1492C23C23×D411yescharacteristic
1493Q8—22no—
1494Q8—22no—
1495Q8—22no—
1496Q8—22no—
1497Q8—22no—
1498Q8—48no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8#53414yes—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—22no—
1513D4—22no—
1514D4—48no—
1515D4—48no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—84no—
1532D4—84no—
1533D4—82no—
1534D4—82no—
1535D4—82no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—84no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
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—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
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—84no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—162no—
1641C2×C4—162no—
1642C2×C4—162no—
1643C2×C4D4212yes—
1644C2×C4C23×D411yescharacteristic
1645C2×C4C2×H(5,𝔽2)11yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C8—22no—
1651C8—22no—
1652C8—41no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C8—41no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—88no—
1699C22—816no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
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—168no—
1724C22C2×D4211yescharacteristic
1725C22#348411yescharacteristic
1726C22#348411yescharacteristic
1727C22C2×#57511yescharacteristic
1728C22#358411yescharacteristic
1729C22#358511yescharacteristic
1730C22#358511yescharacteristic
1731C4—22no—
1732C4—24no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4C2×#53411yescharacteristic
1753C4#348411yescharacteristic
1754C4#353211yescharacteristic
1755C4#353211yescharacteristic
1756C2—42no—
1757C2—42no—
1758C2—81no—
1759C2—81no—
1760C2—82no—
1761C2—82no—
1762C2—82no—
1763C2—82no—
1764C2—161no—
1765C2#3764411yescharacteristic
1766C2#6106611yescharacteristic
1767C2#6107411yescharacteristic
1768C2#6157711yescharacteristic
1769C2#6160611yescharacteristic
1770C2#6161611yescharacteristic
1771C2#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×#3268C2semidirect
2. C2×#3006C2semidirect
3. #39466C2semidirect
4. #36429C2semidirect
5. #32883C2semidirect
6. #31068C2semidirect
7. #31057C2semidirect
8. #31000C2semidirect
9. #30995C2semidirect
10. #30463C2semidirect
11. #30460C2semidirect
12. #30400C2semidirect
13. #30398C2semidirect
14. #29744C2semidirect
15. #29594C2semidirect
16. #28366C2semidirect
17. #28101C2semidirect
18. #25177C2semidirect
19. #25155C2semidirect
20. #24914C2semidirect
21. #24912C2semidirect
22. #24543C2semidirect
23. #24366C2semidirect
24. #24250C2semidirect
25. #24244C2semidirect
26. #24045C2semidirect
27. #23863C2semidirect
28. #23857C2semidirect
29. #23854C2semidirect
30. #22443C2semidirect
31. #22036C2semidirect
35. C22×#135C22semidirect
37. C2×#550C22semidirect
38. C2×#548C22semidirect
39. C2×#546C22semidirect
42. C2×#496C22semidirect
43. C2×#481C22semidirect
44. C2×#468C22semidirect
45. C2×#466C22semidirect
46. C2×#464C22semidirect
47. C2×#463C22semidirect
48. C2×#459C22semidirect
49. C2×#459C22semidirect
53. C2×#452C22semidirect
54. C2×#452C22semidirect
55. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#451C22semidirect
66. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×#440C22semidirect
71. C2×#440C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×#435C22semidirect
86. #2535C22semidirect
87. #2503C22semidirect
88. #2486C22semidirect
91. #2433C22semidirect
95. #2431C22semidirect
97. #2427C22semidirect
99. #2420C22semidirect
102. #2408C22semidirect
107. #2407C22semidirect
108. #2407C22semidirect
110. #2341C22semidirect
111. Q8×C22⋊C4C22semidirect
112. D4×C22⋊C4C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2073C22semidirect
121. #2073C22semidirect
122. #2068C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2011C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1972C22semidirect
157. #1971C22semidirect
158. #1970C22semidirect
159. #1968C22semidirect
160. #1961C22semidirect
161. #1958C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1865C22semidirect
189. #1851C22semidirect
190. #1824C22semidirect
191. #1809C22semidirect
192. #1805C22semidirect
193. #1805C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
204. #1753C22semidirect
231. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32682
C2×#30062
#394662
#364292
#328832
#310682
#310572
#310002
#309952
#304632
#304602
#304002
#303982
#297442
#295942
#283662
#281012
#251772
#251552
#249142
#249122
#245432
#243662
#242502
#242442
#240452
#238632
#238572
#238542
#224432
#220362