Finite Group Databasebeta

← #6500535

Subgroups — #6500535

Order 512.

2862 conjugacy classes of subgroups.

The subgroup lattice has 1711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3009C211yesmaximal, characteristic, complemented
2C2×#2976C211yesmaximal, characteristic, complemented
3#37374C211yesmaximal, characteristic, complemented
4#35512C211yesmaximal, characteristic
5#28110C211yesmaximal, characteristic, complemented
6#28109C211yesmaximal, characteristic, complemented
7#28100C211yesmaximal, characteristic, complemented
8#28096C211yesmaximal, characteristic, complemented
9#25136C211yesmaximal, characteristic, complemented
10#25135C211yesmaximal, characteristic, complemented
11#25129C211yesmaximal, characteristic, complemented
12#25128C211yesmaximal, characteristic, complemented
13#25120C211yesmaximal, characteristic, complemented
14#25119C211yesmaximal, characteristic, complemented
15#25113C211yesmaximal, characteristic, complemented
16#25112C211yesmaximal, characteristic, complemented
17#24517C211yesmaximal, characteristic, complemented
18#24516C211yesmaximal, characteristic, complemented
19#24516C211yesmaximal, characteristic, complemented
20#24515C211yesmaximal, characteristic, complemented
21#24389C211yesmaximal, characteristic, complemented
22#24385C211yesmaximal, characteristic, complemented
23#24383C211yesmaximal, characteristic, complemented
24#24379C211yesmaximal, characteristic, complemented
25#24276C211yesmaximal, characteristic, complemented
26#24274C211yesmaximal, characteristic, complemented
27#24269C211yesmaximal, characteristic, complemented
28#24264C211yesmaximal, characteristic, complemented
29#21945C211yesmaximal, characteristic, complemented
30#21771C211yesmaximal, characteristic, complemented
31#20602C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic, complemented
35C2×#536C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C2×#470C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#467C2211yescharacteristic, complemented
44C2×#465C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#465C2211yescharacteristic, complemented
47#3009—28no—
48C2×#452C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic, complemented
51C2×#452C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#450C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic, complemented
56#2976—28no—
57C2×#436C2211yescharacteristic, complemented
58C2×#436C2211yescharacteristic, complemented
59C2×#435C2211yescharacteristic, complemented
60C2×#435C2211yescharacteristic, complemented
61C2×#435C2211yescharacteristic, complemented
62C2×#435C2211yescharacteristic, complemented
63C2×C8×D4C2211yescharacteristic, complemented
64C2×C8×D4C2211yescharacteristic, complemented
65C2×#433C2211yescharacteristic, complemented
66C2×#433C2211yescharacteristic, complemented
67C2×#417C2211yescharacteristic, complemented
68C2×#418C2211yescharacteristic, complemented
69C2×#418C2211yescharacteristic, complemented
70C2×#416C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73C2×#408C2211yescharacteristic
74C2×#408C2211yescharacteristic
75C2×#407C2211yescharacteristic, complemented
76C22×C22⋊C8C2211yescharacteristic, complemented
77#2848C2211yescharacteristic, complemented
78#2848C2211yescharacteristic, complemented
79#2729—21no—
80#2729—21no—
81#2724—21no—
82#2717—21no—
83#2708—21no—
84#2708—21no—
85#2697—21no—
86#2684—21no—
87#2625C2211yescharacteristic, complemented
88#2625C2211yescharacteristic, complemented
89#2485C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2417C2211yescharacteristic, complemented
92#2417C2211yescharacteristic, complemented
93#2415C2211yescharacteristic, complemented
94#2415C2211yescharacteristic, complemented
95#2409C2211yescharacteristic, complemented
96#2409C2211yescharacteristic, complemented
97#2408—21no—
98#2408—21no—
99#2408C2211yescharacteristic
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic
102#2408C2211yescharacteristic
103#2407—21no—
104#2407—21no—
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2405—21no—
110#2405—21no—
111#2403—21no—
112#2403—21no—
113#2311C2211yescharacteristic
114#2311C2211yescharacteristic
115#2311C2211yescharacteristic
116#2309C2211yescharacteristic
117#2068C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2065C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2056C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2055C2211yescharacteristic, complemented
130#2055C2211yescharacteristic, complemented
131#2055C2211yescharacteristic, complemented
132#2055C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2001C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1973C2211yescharacteristic, complemented
152#1971C2211yescharacteristic, complemented
153#1969C2211yescharacteristic, complemented
154#1968C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1968C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1936C2211yescharacteristic, complemented
160#1935C2211yescharacteristic, complemented
161#1934C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1895C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1892C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1892C2211yescharacteristic, complemented
177#1873C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1852C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1807C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1786C2211yescharacteristic, complemented
204#1786C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—24no—
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×Q8C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—42no—
227C2×#137—42no—
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16—24no—
231C22×SD16—42no—
232C22×SD16—42no—
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245C23×C8C2311yescharacteristic
246C23×C8C2311yescharacteristic
247#536—24no—
248#536—24no—
249C2×C4⋊Q8—21no—
250C2×#124—21no—
251#525—24no—
252#525—24no—
253#525—42no—
254#525—42no—
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×#123D411yescharacteristic
259C2×#123D411yescharacteristic
260C2×C22⋊Q8D411yescharacteristic
261C2×C22⋊Q8D411yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—42no—
275C2×#121—42no—
276C2×#121D411yescharacteristic
277C2×#121D411yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120D411yescharacteristic
290C2×#120D411yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304#470—42no—
305#468—42no—
306#468—42no—
307#468—42no—
308#467—42no—
309#465—42no—
310#465—42no—
311#465—42no—
312#452—24no—
313#452—24no—
314#452—24no—
315#452—24no—
316#450—24no—
317#450—24no—
318#450—24no—
319#450—24no—
320#436—24no—
321#436—24no—
322#435—24no—
323#435—24no—
324#435—24no—
325#435—24no—
326C8×D4—24no—
327C8×D4—24no—
328#433—24no—
329#433—24no—
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—24no—
343#418—42no—
344#417—42no—
345#416—24no—
346#416—42no—
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102—42no—
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380#408—24no—
381#408D418yescomplemented
382#407—24no—
383C2×C22⋊C8—24no—
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×#97C2311yescharacteristic
397C2×#97C2311yescharacteristic
398C2×C4×C8C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400#400—21no—
401#400—21no—
402#398—21no—
403#398—21no—
404#398—21no—
405#398—21no—
406#397—21no—
407#397—21no—
408#397—21no—
409#397—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#397—21no—
414#396—21no—
415#396—21no—
416#395—21no—
417#395—21no—
418#394—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#394—21no—
429#394—21no—
430#393—21no—
431#393—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#391—21no—
441#391—21no—
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#389—21no—
459#389—21no—
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#387—21no—
469#387—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#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#385—21no—
485#385—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#380—21no—
497#380—21no—
498#380—21no—
499#380—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517#379—21no—
518#379—21no—
519#379—21no—
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536C25—21no—
537C25—21no—
538C25—21no—
539C25C2×D411yescharacteristic
540H(5,𝔽2)—416no—
541H(5,𝔽2)—416no—
542H(5,𝔽2)—416no—
543H(5,𝔽2)—416no—
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—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—44no—
567C2×#41—44no—
568C2×#41—44no—
569C2×#41C2×D414yes—
570C2×#41#4114yes—
571C22×Q8—21no—
572C22×Q8—22no—
573C22×Q8—22no—
574C22×Q8—41no—
575C22×Q8—41no—
576C22×Q8—41no—
577C22×Q8—41no—
578C22×Q8C2×D411yescharacteristic
579C22×Q8C2411yescharacteristic
580C22×Q8C2411yescharacteristic
581C22×Q8C2411yescharacteristic
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—22no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—44no—
615C22×D4—44no—
616C22×D4—44no—
617C22×D4—44no—
618C22×D4—44no—
619C22×D4—44no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—82no—
623C22×D4—82no—
624C22×D4C2×D411yescharacteristic
625C22×D4C2×D411yescharacteristic
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2411yescharacteristic
632C22×D4C2411yescharacteristic
633C22×D4C2411yescharacteristic
634C23×C4—21no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654#137—416no—
655C2×Q16—22no—
656C2×Q16—22no—
657C2×Q16—22no—
658C2×Q16—22no—
659C2×Q16—41no—
660C2×Q16—41no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—416no—
680C2×M16—22no—
681C2×M16—22no—
682C2×M16—22no—
683C2×M16—41no—
684C2×M16—41no—
685C2×M16—41no—
686C2×M16—41no—
687C2×M16—41no—
688C2×M16—41no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16C2×D414yescomplemented
692C22×C8—22no—
693C22×C8—22no—
694C22×C8—22no—
695C22×C8—41no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—41no—
699C22×C8—41no—
700C22×C8—41no—
701C22×C8—41no—
702C22×C8—41no—
703C22×C8C2×D414yescomplemented
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C4⋊Q8—44no—
713#124—44no—
714#123—24no—
715#123—24no—
716#123—44no—
717#123—44no—
718#123—44no—
719C22⋊Q8—24no—
720C22⋊Q8—24no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—22no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—22no—
728C22⋊Q8—22no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741#121—24no—
742#121—24no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—41no—
750#121—41no—
751#121—41no—
752#121—41no—
753#121—41no—
754#121—41no—
755#121—44no—
756#121—44no—
757#120—24no—
758#120—24no—
759#120—44no—
760#120—82no—
761#120—82no—
762#120—82no—
763#120—82no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—44no—
773C4×D4—44no—
774#117—22no—
775#117—22no—
776#117—22no—
777#117—22no—
778#117—41no—
779#117—41no—
780#117—41no—
781#117—41no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—41no—
799C2×C4⋊C4—41no—
800C2×C4⋊C4—41no—
801C2×C4⋊C4—41no—
802C2×C4⋊C4C2×D411yescharacteristic
803C2×C4⋊C4C2×D411yescharacteristic
804C2×C4⋊C4C2×D411yescharacteristic
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
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—44no—
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C42—21no—
873C2×C42—21no—
874C2×C42—21no—
875C2×C42C2411yescharacteristic
876C2×C42C2411yescharacteristic
877#107—41no—
878#107—41no—
879#107—41no—
880#107—41no—
881#106—41no—
882#106—41no—
883#106—41no—
884#106—41no—
885C4⋊C8—22no—
886C4⋊C8—22no—
887C4⋊C8—22no—
888C4⋊C8—22no—
889#103—22no—
890#103—22no—
891#103—22no—
892#103—22no—
893#103—41no—
894#103—41no—
895#103—41no—
896#103—41no—
897#103—41no—
898#103—41no—
899#103—41no—
900#103—41no—
901#103—41no—
902#103—41no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921C22⋊C8—22no—
922C22⋊C8—22no—
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8C2×D414yes—
930C22⋊C8C2×D414yes—
931C22⋊C8C2×D414yescomplemented
932C22⋊C8C2×D414yescomplemented
933#97—22no—
934#97—22no—
935C4×C8—22no—
936C4×C8—22no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
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—
965C24—24no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—22no—
970C24—22no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—41no—
975C24—41no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000C24C22×D411yescharacteristic
1001#41—28no—
1002#41—28no—
1003#41—44no—
1004#41—44no—
1005#41—44no—
1006#41—44no—
1007#41—44no—
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—432no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—41no—
1036C2×Q8—41no—
1037C2×Q8—44no—
1038C2×Q8—44no—
1039C2×Q8—42no—
1040C2×Q8—81no—
1041C2×Q8—81no—
1042C2×Q8—82no—
1043C2×Q8—82no—
1044C2×Q8#12114yes—
1045C2×Q8H(5,𝔽2)12yes—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—24no—
1049C2×D4—24no—
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—432no—
1104C2×D4—432no—
1105C2×D4—432no—
1106C2×D4—42no—
1107C2×D4—42no—
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—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—816no—
1131C2×D4#12114yes—
1132C2×D4#12114yes—
1133C2×D4#12114yes—
1134C2×D4H(5,𝔽2)12yes—
1135C2×D4H(5,𝔽2)12yes—
1136C2×D4H(5,𝔽2)12yes—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—24no—
1150C22×C4—21no—
1151C22×C4—22no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—82no—
1195C22×C4—82no—
1196C22×C4—82no—
1197C22×C4—82no—
1198C22×C4—81no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D412yes—
1215C22×C4C22×D412yes—
1216C22×C4C22×D412yes—
1217C22×C4C2×#4112yes—
1218C22×C4C2×#4112yes—
1219C22×C4C2×#4112yes—
1220C22×C4C2511yescharacteristic
1221Q16—44no—
1222Q16—44no—
1223SD16—44no—
1224SD16—44no—
1225SD16—44no—
1226SD16—44no—
1227SD16—44no—
1228SD16—44no—
1229M16—44no—
1230M16—82no—
1231M16—82no—
1232M16—82no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—44no—
1254C2×C8—82no—
1255C2×C8—82no—
1256C2×C8—82no—
1257C2×C8C22×D412yes—
1258C2×C8C22×D412yes—
1259C2×C8C22×D412yes—
1260C2×C8C22×D412yes—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—81no—
1295C4⋊C4—81no—
1296C4⋊C4—81no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—42no—
1361C42—42no—
1362C42—81no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—44no—
1398C23—44no—
1399C23—48no—
1400C23—48no—
1401C23—48no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—82no—
1421C23—82no—
1422C23—82no—
1423C23—82no—
1424C23—82no—
1425C23—84no—
1426C23—84no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23—162no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23C2×#12112yes—
1444C23C2×#12112yes—
1445C23C2×#12112yes—
1446C23#57712yes—
1447C23C23×D411yescharacteristic
1448Q8—22no—
1449Q8—22no—
1450Q8—44no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—84no—
1462D4—22no—
1463D4—22no—
1464D4—22no—
1465D4—22no—
1466D4—22no—
1467D4—22no—
1468D4—44no—
1469D4—44no—
1470D4—44no—
1471D4—48no—
1472D4—48no—
1473D4—48no—
1474D4—44no—
1475D4—44no—
1476D4—48no—
1477D4—48no—
1478D4—48no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—82no—
1486D4—82no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
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—82no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—162no—
1585C2×C4C2×#12112yes—
1586C2×C4C2×#12112yes—
1587C2×C4C2×#12112yes—
1588C2×C4C23×D411yescharacteristic
1589C2×C4C22×#4111yescharacteristic
1590C2×C4C2×H(5,𝔽2)11yescharacteristic
1591C2×C4C2×H(5,𝔽2)11yescharacteristic
1592C2×C4C2×H(5,𝔽2)11yescharacteristic
1593C2×C4C2×H(5,𝔽2)11yescharacteristic
1594C8—22no—
1595C8—22no—
1596C8—22no—
1597C8—22no—
1598C8—41no—
1599C8—41no—
1600C8—41no—
1601C8—41no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—88no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—168no—
1660C22—168no—
1661C22—168no—
1662C22C22×#12111yescharacteristic
1663C22#348411yescharacteristic
1664C22#348411yescharacteristic
1665C22C2×#57711yescharacteristic
1666C22#358411yescharacteristic
1667C22#358511yescharacteristic
1668C22#358611yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4—81no—
1684C4—81no—
1685C4—81no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4#348411yescharacteristic
1692C4#348411yescharacteristic
1693C4#349011yescharacteristic
1694C4#349011yescharacteristic
1695C2—42no—
1696C2—42no—
1697C2—42no—
1698C2—42no—
1699C2—81no—
1700C2—82no—
1701C2—82no—
1702C2—82no—
1703C2#3534811yescharacteristic
1704C2#6045711yescharacteristic
1705C2#6046011yescharacteristic
1706C2#6161011yescharacteristic
1707C2#6161311yescharacteristic
1708C2#6161811yescharacteristic
1709C2#6162511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35512C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3009C2semidirect
2. C2×#2976C2semidirect
3. #37374C2semidirect
5. #28110C2semidirect
6. #28109C2semidirect
7. #28100C2semidirect
8. #28096C2semidirect
9. #25136C2semidirect
10. #25135C2semidirect
11. #25129C2semidirect
12. #25128C2semidirect
13. #25120C2semidirect
14. #25119C2semidirect
15. #25113C2semidirect
16. #25112C2semidirect
17. #24517C2semidirect
18. #24516C2semidirect
19. #24516C2semidirect
20. #24515C2semidirect
21. #24389C2semidirect
22. #24385C2semidirect
23. #24383C2semidirect
24. #24379C2semidirect
25. #24276C2semidirect
26. #24274C2semidirect
27. #24269C2semidirect
28. #24264C2semidirect
29. #21945C2semidirect
30. #21771C2semidirect
31. #20602C2semidirect
33. C22×#137C22semidirect
34. C23×SD16C22semidirect
39. C2×#470C22semidirect
40. C2×#468C22semidirect
41. C2×#468C22semidirect
42. C2×#468C22semidirect
43. C2×#467C22semidirect
44. C2×#465C22semidirect
45. C2×#465C22semidirect
46. C2×#465C22semidirect
50. C2×#452C22semidirect
51. C2×#452C22semidirect
54. C2×#450C22semidirect
55. C2×#450C22semidirect
57. C2×#436C22semidirect
58. C2×#436C22semidirect
59. C2×#435C22semidirect
60. C2×#435C22semidirect
61. C2×#435C22semidirect
62. C2×#435C22semidirect
63. C2×C8×D4C22semidirect
64. C2×C8×D4C22semidirect
65. C2×#433C22semidirect
66. C2×#433C22semidirect
67. C2×#417C22semidirect
68. C2×#418C22semidirect
69. C2×#418C22semidirect
70. C2×#416C22semidirect
71. C2×#416C22semidirect
72. C22×#102C22semidirect
75. C2×#407C22semidirect
76. C22×C22⋊C8C22semidirect
77. #2848C22semidirect
78. #2848C22semidirect
87. #2625C22semidirect
88. #2625C22semidirect
89. #2485C22semidirect
90. #2485C22semidirect
91. #2417C22semidirect
92. #2417C22semidirect
93. #2415C22semidirect
94. #2415C22semidirect
95. #2409C22semidirect
96. #2409C22semidirect
117. #2068C22semidirect
118. #2067C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2065C22semidirect
123. #2065C22semidirect
124. #2065C22semidirect
125. #2056C22semidirect
126. #2056C22semidirect
127. #2055C22semidirect
128. #2055C22semidirect
129. #2055C22semidirect
130. #2055C22semidirect
131. #2055C22semidirect
132. #2055C22semidirect
133. #2036C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2001C22semidirect
142. #2001C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
151. #1973C22semidirect
152. #1971C22semidirect
153. #1969C22semidirect
154. #1968C22semidirect
155. #1968C22semidirect
156. #1968C22semidirect
157. #1936C22semidirect
158. #1936C22semidirect
159. #1936C22semidirect
160. #1935C22semidirect
161. #1934C22semidirect
162. #1934C22semidirect
163. #1934C22semidirect
164. #1933C22semidirect
165. #1895C22semidirect
166. #1895C22semidirect
167. #1895C22semidirect
168. #1894C22semidirect
169. #1894C22semidirect
170. #1894C22semidirect
171. #1893C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1892C22semidirect
175. #1892C22semidirect
176. #1892C22semidirect
177. #1873C22semidirect
178. #1873C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
181. #1854C22semidirect
182. #1854C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1853C22semidirect
186. #1853C22semidirect
187. #1852C22semidirect
188. #1852C22semidirect
189. #1825C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
193. #1808C22semidirect
194. #1807C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
203. #1786C22semidirect
204. #1786C22semidirect
381. #408D4semidirect
691. C2×M16C2×D4semidirect
703. C22×C8C2×D4semidirect
931. C22⋊C8C2×D4semidirect
932. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30092
C2×#29762
#373742
#355122
#281102
#281092
#281002
#280962
#251362
#251352
#251292
#251282
#251202
#251192
#251132
#251122
#245172
#245162
#245152
#243892
#243852
#243832
#243792
#242762
#242742
#242692
#242642
#219452
#217712
#206022