Finite Group Databasebeta

← #6667806

Subgroups — #6667806

Order 512.

2870 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#42984C211yesmaximal, characteristic, complemented
4#35750C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31067C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#31012C211yesmaximal, characteristic, complemented
9#30991C211yesmaximal, characteristic, complemented
10#30455C211yesmaximal, characteristic, complemented
11#30452C211yesmaximal, characteristic, complemented
12#30418C211yesmaximal, characteristic, complemented
13#30412C211yesmaximal, characteristic, complemented
14#29746C211yesmaximal, characteristic, complemented
15#29609C211yesmaximal, characteristic, complemented
16#28362C211yesmaximal, characteristic, complemented
17#28113C211yesmaximal, characteristic, complemented
18#25170C211yesmaximal, characteristic, complemented
19#25160C211yesmaximal, characteristic, complemented
20#24907C211yesmaximal, characteristic, complemented
21#24901C211yesmaximal, characteristic, complemented
22#24530C211yesmaximal, characteristic, complemented
23#24365C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24237C211yesmaximal, characteristic, complemented
26#24038C211yesmaximal, characteristic, complemented
27#23865C211yesmaximal, characteristic, complemented
28#23862C211yesmaximal, characteristic, complemented
29#23854C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic
36C2×#548C2211yescharacteristic, complemented
37C2×#547C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#537C2211yescharacteristic
41#3275—28no—
42C2×#495C2211yescharacteristic, complemented
43C2×#483C2211yescharacteristic, complemented
44C2×#470C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#463C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50#3012—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic
54C2×#452C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#451C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#442C2211yescharacteristic, complemented
71C2×C4×SD16C2211yescharacteristic, complemented
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#436C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic
75C22×#102C2211yescharacteristic
76C2×#408C2211yescharacteristic
77#2816—21no—
78#2686—21no—
79#2686—21no—
80#2671—21no—
81#2671—21no—
82#2659—21no—
83#2638—21no—
84#2616C2211yescharacteristic
85#2616C2211yescharacteristic
86#2613—21no—
87#2543—21no—
88#2537C2211yescharacteristic, complemented
89#2537C2211yescharacteristic, complemented
90#2502C2211yescharacteristic, complemented
91#2486C2211yescharacteristic, complemented
92#2435C2211yescharacteristic
93#2432C2211yescharacteristic
94#2432C2211yescharacteristic
95#2430—21no—
96#2427C2211yescharacteristic, complemented
97#2427C2211yescharacteristic, complemented
98#2423C2211yescharacteristic, complemented
99#2423C2211yescharacteristic, complemented
100#2410—21no—
101#2410—21no—
102#2409C2211yescharacteristic, complemented
103#2409C2211yescharacteristic, complemented
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2406—21no—
108#2405—21no—
109#2405—21no—
110#2388C2211yescharacteristic
111C2×#394—21no—
112#2339C2211yescharacteristic
113#2339C2211yescharacteristic, complemented
114D4×C22⋊C4C2211yescharacteristic
115D4×C22⋊C4C2211yescharacteristic
116#2096C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2071C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2034C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2015C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1971C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1959C2211yescharacteristic, complemented
161#1956C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1780C2211yescharacteristic
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
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—42no—
227C2×#137—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)D418yescomplemented
231C2×#135—24no—
232C2×#135—42no—
233C2×#135—42no—
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#548—24no—
253#548—42no—
254#547—42no—
255#547—42no—
256#546—24no—
257#546—42no—
258#546—42no—
259#546—42no—
260#537—24no—
261#537—42no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×#124—21no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C22×C4⋊C4—21no—
311C22×C4⋊C4C2311yescharacteristic
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316#495—24no—
317#483—42no—
318#470—24no—
319#469—24no—
320#464—24no—
321#463—24no—
322#463—42no—
323#461—42no—
324#452—24no—
325#452—24no—
326#452—24no—
327#452—42no—
328#452—42no—
329#452—42no—
330#451—42no—
331#450—24no—
332#450—24no—
333#450—24no—
334#450—42no—
335#450—42no—
336#449—24no—
337#449—24no—
338#449—24no—
339#448—24no—
340#448—42no—
341#447—24no—
342#447—24no—
343#442—42no—
344C4×SD16—24no—
345C4×D8—42no—
346#436—24no—
347C2×#107C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355#417—24no—
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
372C2×#102—24no—
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
391#408—24no—
392C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#399—21no—
409#399—21no—
410#398—21no—
411#398—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#395—21no—
419#395—21no—
420#395—21no—
421#395—21no—
422#395D411yescharacteristic
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394D411yescharacteristic
445#394D411yescharacteristic
446#394D411yescharacteristic
447#393—21no—
448#393—21no—
449#393D411yescharacteristic
450#392—21no—
451#392—21no—
452#392—21no—
453#392D411yescharacteristic
454#392D411yescharacteristic
455#392D411yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#388—21no—
469#388—21no—
470#387—21no—
471#387—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#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#384C2311yescharacteristic
497#384C2311yescharacteristic
498#381—21no—
499#381—21no—
500#381—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#379—21no—
517#379—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C2×#95—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—
542H(5,𝔽2)—416no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
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—22no—
560C2×#41—22no—
561C2×#41—22no—
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—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—44no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—44no—
583C2×#41—44no—
584C2×#41C2×D414yes—
585C22×Q8—21no—
586C22×Q8—22no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8C2×D411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
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—22no—
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—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4C2×D414yes—
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C22×D4C2411yescharacteristic
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
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×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663#137—416no—
664AGL(1,ℤ/8)—416no—
665#135—416no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16C2×D414yes—
701C2×SD16C2×D414yes—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8C2×D414yes—
710C2×D8C2×D414yes—
711C2×M16—22no—
712C2×M16—41no—
713C2×M16—41no—
714C2×M16—41no—
715C2×M16—41no—
716C2×M16C2×D414yes—
717C22×C8—22no—
718C22×C8—41no—
719C22×C8—41no—
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C4⋊Q8—22no—
729C4⋊Q8—41no—
730#124—22no—
731#124—22no—
732#124—22no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—44no—
737#123—44no—
738#123—44no—
739#123—44no—
740#123—44no—
741#123—82no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—44no—
757C22⋊Q8—44no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—44no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—82no—
780#121—82no—
781#120—44no—
782#120—44no—
783#120—82no—
784C4×Q8—22no—
785C4×Q8—41no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—44no—
803C2×C4⋊C4—22no—
804C2×C4⋊C4—22no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
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—44no—
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
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—44no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—82no—
880C2×C22⋊C4—82no—
881C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
894C2×C42C2411yescharacteristic
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897#107—41no—
898#106—22no—
899#106—41no—
900#106—41no—
901#106—41no—
902C4⋊C8—22no—
903C4⋊C8—41no—
904C4⋊C8—41no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
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—22no—
931#102—22no—
932#102—22no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952#97—41no—
953C4×C8—22no—
954C4×C8—41no—
955#95—21no—
956#95—21no—
957#95—21no—
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#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983C24—21no—
984C24—24no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—24no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011C24C22×D411yescharacteristic
1012#41—28no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
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—432no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—82no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037C2×Q8—22no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
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—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—42no—
1063C2×Q8—44no—
1064C2×Q8—81no—
1065C2×Q8—81no—
1066C2×Q8—82no—
1067C2×Q8—82no—
1068C2×Q8—82no—
1069C2×Q8C22×D412yes—
1070C2×Q8H(5,𝔽2)12yes—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—24no—
1080C2×D4—22no—
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—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—432no—
1136C2×D4—432no—
1137C2×D4—432no—
1138C2×D4—44no—
1139C2×D4—42no—
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—42no—
1149C2×D4—42no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
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×D4C22×D412yes—
1162C2×D4C22×D412yes—
1163C2×D4C22×D412yes—
1164C2×D4H(5,𝔽2)12yes—
1165C2×D4H(5,𝔽2)12yes—
1166C2×D4H(5,𝔽2)12yes—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—24no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—24no—
1193C22×C4—21no—
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—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D412yes—
1247C22×C4C22×D411yescharacteristic
1248C22×C4H(5,𝔽2)12yes—
1249C22×C4C2511yescharacteristic
1250Q16—44no—
1251Q16—44no—
1252Q16—44no—
1253Q16—82no—
1254SD16—28no—
1255SD16—44no—
1256SD16—44no—
1257SD16—44no—
1258SD16—44no—
1259SD16—82no—
1260SD16—82no—
1261SD16—82no—
1262D8—28no—
1263D8—44no—
1264D8—44no—
1265M16—44no—
1266M16—44no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—44no—
1290C2×C8C22×D412yes—
1291C2×C8C22×D412yes—
1292C4⋊C4—22no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4—81no—
1325C4⋊C4—81no—
1326C4⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
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—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—42no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—48no—
1424C23—48no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—48no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23D4212yes—
1467C23C23×D411yescharacteristic
1468Q8—22no—
1469Q8—22no—
1470Q8—22no—
1471Q8—22no—
1472Q8—44no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—84no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—48no—
1496D4—44no—
1497D4—44no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—82no—
1511D4—82no—
1512D4—84no—
1513D4—82no—
1514D4—84no—
1515D4—84no—
1516D4—162no—
1517D4—162no—
1518D4—162no—
1519D4—162no—
1520D4#53414yes—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
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—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—162no—
1609C2×C4—162no—
1610C2×C4—162no—
1611C2×C4—162no—
1612C2×C4—162no—
1613C2×C4D4212yes—
1614C2×C4#57712yes—
1615C2×C4C23×D411yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C8—22no—
1622C8—22no—
1623C8—41no—
1624C8—41no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C22—22no—
1630C22—24no—
1631C22—22no—
1632C22—22no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—168no—
1686C22—168no—
1687C22—168no—
1688C22C2×D4211yescharacteristic
1689C22#348411yescharacteristic
1690C22#348411yescharacteristic
1691C22C2×#57711yescharacteristic
1692C22#358411yescharacteristic
1693C22#358511yescharacteristic
1694C22#358611yescharacteristic
1695C4—22no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4C2×#53411yescharacteristic
1718C4#348411yescharacteristic
1719C4#353211yescharacteristic
1720C4#353211yescharacteristic
1721C2—42no—
1722C2—44no—
1723C2—81no—
1724C2—81no—
1725C2—81no—
1726C2—82no—
1727C2—82no—
1728C2—82no—
1729C2#3764411yescharacteristic
1730C2#6107411yescharacteristic
1731C2#6109411yescharacteristic
1732C2#6162311yescharacteristic
1733C2#6164711yescharacteristic
1734C2#6165811yescharacteristic
1735C2#6169111yescharacteristic
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×#3275C2semidirect
2. C2×#3012C2semidirect
3. #42984C2semidirect
4. #35750C2semidirect
5. #32886C2semidirect
6. #31067C2semidirect
7. #31058C2semidirect
8. #31012C2semidirect
9. #30991C2semidirect
10. #30455C2semidirect
11. #30452C2semidirect
12. #30418C2semidirect
13. #30412C2semidirect
14. #29746C2semidirect
15. #29609C2semidirect
16. #28362C2semidirect
17. #28113C2semidirect
18. #25170C2semidirect
19. #25160C2semidirect
20. #24907C2semidirect
21. #24901C2semidirect
22. #24530C2semidirect
23. #24365C2semidirect
24. #24257C2semidirect
25. #24237C2semidirect
26. #24038C2semidirect
27. #23865C2semidirect
28. #23862C2semidirect
29. #23854C2semidirect
30. #22442C2semidirect
31. #22039C2semidirect
33. C22×#137C22semidirect
36. C2×#548C22semidirect
42. C2×#495C22semidirect
43. C2×#483C22semidirect
44. C2×#470C22semidirect
45. C2×#469C22semidirect
46. C2×#464C22semidirect
47. C2×#463C22semidirect
48. C2×#463C22semidirect
49. C2×#461C22semidirect
56. C2×#452C22semidirect
59. C2×#449C22semidirect
60. C2×#451C22semidirect
61. C2×#448C22semidirect
62. C2×#448C22semidirect
70. C2×#442C22semidirect
71. C2×C4×SD16C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#436C22semidirect
88. #2537C22semidirect
89. #2537C22semidirect
90. #2502C22semidirect
91. #2486C22semidirect
96. #2427C22semidirect
97. #2427C22semidirect
98. #2423C22semidirect
99. #2423C22semidirect
102. #2409C22semidirect
103. #2409C22semidirect
113. #2339C22semidirect
116. #2096C22semidirect
117. #2094C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2071C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2066C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
141. #2034C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
145. #2015C22semidirect
146. #2015C22semidirect
147. #2012C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1971C22semidirect
158. #1968C22semidirect
159. #1968C22semidirect
160. #1959C22semidirect
161. #1956C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1934C22semidirect
165. #1933C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1892C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1850C22semidirect
190. #1824C22semidirect
191. #1809C22semidirect
192. #1802C22semidirect
193. #1802C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
204. #1753C22semidirect
230. 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×#32752
C2×#30122
#429842
#357502
#328862
#310672
#310582
#310122
#309912
#304552
#304522
#304182
#304122
#297462
#296092
#283622
#281132
#251702
#251602
#249072
#249012
#245302
#243652
#242572
#242372
#240382
#238652
#238622
#238542
#224422
#220392