Finite Group Databasebeta

← #6807009

Subgroups — #6807009

Order 512.

2355 conjugacy classes of subgroups.

The subgroup lattice has 1663 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3220C211yesmaximal, characteristic, complemented
2C2×#3192C211yesmaximal, characteristic, complemented
3#37662C211yesmaximal, characteristic, complemented
4#35514C211yesmaximal, characteristic, complemented
5#32911C211yesmaximal, characteristic, complemented
6#30857C211yesmaximal, characteristic, complemented
7#30855C211yesmaximal, characteristic, complemented
8#30647C211yesmaximal, characteristic, complemented
9#30639C211yesmaximal, characteristic, complemented
10#30611C211yesmaximal, characteristic, complemented
11#30605C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29630C211yesmaximal, characteristic, complemented
15#29592C211yesmaximal, characteristic, complemented
16#28924C211yesmaximal, characteristic, complemented
17#28916C211yesmaximal, characteristic, complemented
18#28325C211yesmaximal, characteristic, complemented
19#28127C211yesmaximal, characteristic, complemented
20#26943C211yesmaximal, characteristic, complemented
21#26927C211yesmaximal, characteristic, complemented
22#25426C211yesmaximal, characteristic, complemented
23#25419C211yesmaximal, characteristic, complemented
24#25172C211yesmaximal, characteristic, complemented
25#25148C211yesmaximal, characteristic, complemented
26#24618C211yesmaximal, characteristic, complemented
27#24388C211yesmaximal, characteristic, complemented
28#24069C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#22559C211yesmaximal, characteristic, complemented
31#21458C211yesmaximal, characteristic, complemented
32C2×#540C2211yescharacteristic
33C2×#535C2211yescharacteristic, complemented
34C2×#525C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C2×#518C2211yescharacteristic, complemented
38#3220—28no—
39#3192—28no—
40C2×#496C2211yescharacteristic, complemented
41C2×#493C2211yescharacteristic, complemented
42C2×#490C2211yescharacteristic, complemented
43C2×#488C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic
45C2×#481C2211yescharacteristic
46C2×#481C2211yescharacteristic
47C2×#481C2211yescharacteristic
48C2×#480C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#442C2211yescharacteristic, complemented
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#433C2211yescharacteristic, complemented
74C2×#407C2211yescharacteristic
75#2847C2211yescharacteristic
76#2703—21no—
77#2699—21no—
78#2688—21no—
79#2671—21no—
80#2624C2211yescharacteristic
81#2619C2211yescharacteristic
82#2537—21no—
83#2537—21no—
84#2535—21no—
85#2535—21no—
86#2490C2211yescharacteristic, complemented
87#2442C2211yescharacteristic, complemented
88#2433C2211yescharacteristic, complemented
89#2428C2211yescharacteristic
90#2428C2211yescharacteristic
91#2428C2211yescharacteristic, complemented
92#2428C2211yescharacteristic, complemented
93#2428C2211yescharacteristic, complemented
94#2428C2211yescharacteristic, complemented
95#2427C2211yescharacteristic
96#2427C2211yescharacteristic
97#2427C2211yescharacteristic, complemented
98#2427C2211yescharacteristic, complemented
99#2420C2211yescharacteristic, complemented
100#2418—21no—
101#2412—21no—
102#2412—21no—
103#2412—21no—
104#2410—21no—
105#2410—21no—
106#2410—21no—
107#2408—21no—
108#2361C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic, complemented
110#2324C2211yescharacteristic
111#2317C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2280C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2088C2211yescharacteristic, complemented
117#2088C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2059C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1973C2211yescharacteristic, complemented
155#1972C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1968C2211yescharacteristic, complemented
158#1943C2211yescharacteristic, complemented
159#1941C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1934C2211yescharacteristic, complemented
162#1927C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1923C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1895C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1818C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1779C2211yescharacteristic
200#1762C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225#540—24no—
226#540—42no—
227#535—24no—
228#535—42no—
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#125C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236#525—42no—
237#525—42no—
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—24no—
258C2×#121—24no—
259C2×#121—42no—
260C2×#121—42no—
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280#518—42no—
281#518—42no—
282C2×C4×D4—21no—
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C22⋊C4—21no—
300C22×C22⋊C4—21no—
301C22×C22⋊C4—21no—
302C22×C22⋊C4—21no—
303C22×C22⋊C4—21no—
304#496—24no—
305#493—24no—
306#490—24no—
307#488—24no—
308#481—24no—
309#481—24no—
310#481—24no—
311#481—24no—
312#480—42no—
313#469—24no—
314#469—24no—
315#469—24no—
316#469—24no—
317#469—42no—
318#468—42no—
319#463—24no—
320#463—24no—
321#459—24no—
322#459—24no—
323#459—42no—
324#459—42no—
325#450—42no—
326#449—24no—
327#449—24no—
328#449—42no—
329#447—24no—
330#447—24no—
331#447—24no—
332#447—24no—
333#447—42no—
334#447D418yescomplemented
335#442—42no—
336C4×D8—42no—
337#433—24no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
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
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382#407—24no—
383C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396C2×C4×C8C2311yescharacteristic
397#400—21no—
398#399—21no—
399#398—21no—
400#397—21no—
401#397—21no—
402#397—21no—
403#397—21no—
404#397—21no—
405#397—21no—
406#397—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#390—21no—
436#390—21no—
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#389C2311yescharacteristic
445#389C2311yescharacteristic
446#389C2311yescharacteristic
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#388—21no—
452#388—21no—
453#388—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
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#385—21no—
475#385—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#384—21no—
480#382—21no—
481#382C2311yescharacteristic
482#381—21no—
483#381D411yescharacteristic
484#381D411yescharacteristic
485#380—21no—
486#380—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380D411yescharacteristic
493#380D411yescharacteristic
494#380D411yescharacteristic
495#380D411yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500#379D411yescharacteristic
501#379D411yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C25C2×D411yescharacteristic
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C22×Q8C2411yescharacteristic
537C22×D4—21no—
538C22×D4—22no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—22no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—44no—
573C22×D4—44no—
574C22×D4—82no—
575C22×D4—82no—
576C22×D4—82no—
577C22×D4—82no—
578C22×D4C2×D414yes—
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C23×C4—22no—
586C23×C4—22no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4C2×D411yescharacteristic
602C23×C4C2×D411yescharacteristic
603C23×C4C2×D411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8C2×D414yes—
642C2×D8C2×D414yes—
643C2×M16—22no—
644C2×M16—22no—
645C2×M16—41no—
646C2×M16—41no—
647C2×M16—41no—
648C2×M16—41no—
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657#127—22no—
658#127—22no—
659#127—22no—
660#127—41no—
661#127—41no—
662#127—41no—
663#127—41no—
664#127—41no—
665#125—22no—
666#125—41no—
667#124—22no—
668#124—22no—
669#124—41no—
670#124—41no—
671#123—44no—
672#123—44no—
673#123—44no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—44no—
692#121—44no—
693#121—44no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—41no—
710#121—41no—
711#121—82no—
712#121—82no—
713#121—82no—
714#121—82no—
715#121—82no—
716#121—82no—
717#121C2×D414yes—
718#120—44no—
719#120—44no—
720#120—44no—
721#120—82no—
722#120—82no—
723#120—82no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—44no—
737C4×D4—44no—
738C4×D4—44no—
739C4×D4—44no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—82no—
743#117—22no—
744#117—22no—
745#117—22no—
746#117—22no—
747#117—41no—
748#117—41no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4C2×D411yescharacteristic
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—44no—
824C2×C22⋊C4—44no—
825C2×C22⋊C4—44no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—82no—
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C42—21no—
841C2×C42—21no—
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846#107—22no—
847#107—41no—
848#107—41no—
849#106—22no—
850#106—22no—
851#106—22no—
852#106—22no—
853#106—22no—
854C4⋊C8—22no—
855C4⋊C8—22no—
856C4⋊C8—41no—
857C4⋊C8—41no—
858#103—22no—
859#103—22no—
860#103—41no—
861#103—41no—
862#103—41no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102C2×D414yes—
889#102C2×D414yes—
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—22no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8C2×D414yes—
900#97—22no—
901#97—41no—
902C4×C8—22no—
903C4×C8—41no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929C24—21no—
930C24—21no—
931C24—21no—
932C24—22no—
933C24—24no—
934C24—22no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—41no—
939C24—41no—
940C24—41no—
941C24—41no—
942C24—41no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×D4—24no—
970C2×D4—24no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—82no—
1063C2×D4—82no—
1064C2×D4—82no—
1065C2×D4—82no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—816no—
1083C2×D4—816no—
1084C2×D4C22×D412yes—
1085C2×D4C22×D412yes—
1086C2×D4C22×D412yes—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—22no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—82no—
1135C22×C4—82no—
1136C22×C4—82no—
1137C22×C4—82no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D412yes—
1168C22×C4H(5,𝔽2)12yes—
1169C22×C4C2511yescharacteristic
1170SD16—82no—
1171SD16—82no—
1172SD16—82no—
1173D8—44no—
1174D8—44no—
1175D8—82no—
1176D8—82no—
1177D8—82no—
1178D8—82no—
1179D8—82no—
1180D8—82no—
1181D8—82no—
1182M16—82no—
1183M16—82no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8C22×D412yes—
1207C2×C8C22×D412yes—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—81no—
1234C4⋊C4—81no—
1235C4⋊C4—81no—
1236C4⋊C4—81no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4C22×D412yes—
1241C4⋊C4H(5,𝔽2)12yes—
1242C4⋊C4H(5,𝔽2)12yes—
1243C22⋊C4—24no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—24no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C42—24no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—81no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—44no—
1332C23—44no—
1333C23—48no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—82no—
1374C23—82no—
1375C23—82no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—84no—
1380C23—82no—
1381C23—82no—
1382C23—84no—
1383C23—84no—
1384C23—162no—
1385C23—162no—
1386C23—162no—
1387C23—162no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23D4212yes—
1392C23#57612yes—
1393C23C23×D411yescharacteristic
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398D4—22no—
1399D4—22no—
1400D4—22no—
1401D4—22no—
1402D4—22no—
1403D4—22no—
1404D4—48no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436D4—162no—
1437D4—162no—
1438D4—162no—
1439D4—162no—
1440D4—162no—
1441D4—162no—
1442D4—162no—
1443D4—162no—
1444D4—162no—
1445D4—162no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—84no—
1523C2×C4—82no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—162no—
1527C2×C4—162no—
1528C2×C4—162no—
1529C2×C4—162no—
1530C2×C4—162no—
1531C2×C4—162no—
1532C2×C4—162no—
1533C2×C4D4212yes—
1534C2×C4C23×D411yescharacteristic
1535C2×C4C2×H(5,𝔽2)11yescharacteristic
1536C2×C4C2×H(5,𝔽2)11yescharacteristic
1537C2×C4C2×H(5,𝔽2)11yescharacteristic
1538C2×C4#58511yescharacteristic
1539C2×C4#58511yescharacteristic
1540C8—22no—
1541C8—22no—
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C8—41no—
1546C8—41no—
1547C8—41no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—88no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—168no—
1613C22—168no—
1614C22#344911yescharacteristic
1615C22C2×D4211yescharacteristic
1616C22#348411yescharacteristic
1617C22C2×#57611yescharacteristic
1618C22#358511yescharacteristic
1619C22#358511yescharacteristic
1620C22#358511yescharacteristic
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—41no—
1633C4—41no—
1634C4—42no—
1635C4—81no—
1636C4—81no—
1637C4—81no—
1638C4—81no—
1639C4—81no—
1640C4—81no—
1641C4—81no—
1642C4#349611yescharacteristic
1643C4#349611yescharacteristic
1644C4#354211yescharacteristic
1645C4#354211yescharacteristic
1646C2—42no—
1647C2—42no—
1648C2—81no—
1649C2—82no—
1650C2—82no—
1651C2—82no—
1652C2—161no—
1653C2—161no—
1654C2—161no—
1655C2#3933211yescharacteristic
1656C2#6097811yescharacteristic
1657C2#6100311yescharacteristic
1658C2#6105811yescharacteristic
1659C2#6107211yescharacteristic
1660C2#6161711yescharacteristic
1661C2#6165311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3220C2semidirect
2. C2×#3192C2semidirect
3. #37662C2semidirect
4. #35514C2semidirect
5. #32911C2semidirect
6. #30857C2semidirect
7. #30855C2semidirect
8. #30647C2semidirect
9. #30639C2semidirect
10. #30611C2semidirect
11. #30605C2semidirect
12. #30460C2semidirect
13. #30444C2semidirect
14. #29630C2semidirect
15. #29592C2semidirect
16. #28924C2semidirect
17. #28916C2semidirect
18. #28325C2semidirect
19. #28127C2semidirect
20. #26943C2semidirect
21. #26927C2semidirect
22. #25426C2semidirect
23. #25419C2semidirect
24. #25172C2semidirect
25. #25148C2semidirect
26. #24618C2semidirect
27. #24388C2semidirect
28. #24069C2semidirect
29. #23920C2semidirect
30. #22559C2semidirect
31. #21458C2semidirect
33. C2×#535C22semidirect
37. C2×#518C22semidirect
40. C2×#496C22semidirect
41. C2×#493C22semidirect
42. C2×#490C22semidirect
43. C2×#488C22semidirect
48. C2×#480C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
57. C2×#459C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
63. C2×#449C22semidirect
64. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#442C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#433C22semidirect
86. #2490C22semidirect
87. #2442C22semidirect
88. #2433C22semidirect
91. #2428C22semidirect
92. #2428C22semidirect
93. #2428C22semidirect
94. #2428C22semidirect
97. #2427C22semidirect
98. #2427C22semidirect
99. #2420C22semidirect
108. #2361C22semidirect
109. D4×C22⋊C4C22semidirect
111. #2317C22semidirect
112. #2311C22semidirect
114. #2097C22semidirect
115. #2092C22semidirect
116. #2088C22semidirect
117. #2088C22semidirect
118. #2067C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2059C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2035C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2014C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1973C22semidirect
155. #1972C22semidirect
156. #1970C22semidirect
157. #1968C22semidirect
158. #1943C22semidirect
159. #1941C22semidirect
160. #1936C22semidirect
161. #1934C22semidirect
162. #1927C22semidirect
163. #1926C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1923C22semidirect
167. #1923C22semidirect
168. #1895C22semidirect
169. #1894C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
180. #1875C22semidirect
181. #1874C22semidirect
182. #1872C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1851C22semidirect
192. #1823C22semidirect
193. #1818C22semidirect
194. #1804C22semidirect
195. #1804C22semidirect
196. #1798C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
200. #1762C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1750C22semidirect
334. #447D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32202
C2×#31922
#376622
#355142
#329112
#308572
#308552
#306472
#306392
#306112
#306052
#304602
#304442
#296302
#295922
#289242
#289162
#283252
#281272
#269432
#269272
#254262
#254192
#251722
#251482
#246182
#243882
#240692
#239202
#225592
#214582