Finite Group Databasebeta

← #7301663

Subgroups — #7301663

Order 512.

2155 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44868C211yesmaximal, characteristic, complemented
2#42909C211yesmaximal, characteristic, complemented
3#32042C211yesmaximal, characteristic, complemented
4#31862C211yesmaximal, characteristic, complemented
5#31834C211yesmaximal, characteristic, complemented
6#31680C211yesmaximal, characteristic, complemented
7#31411C211yesmaximal, characteristic, complemented
8#31404C211yesmaximal, characteristic, complemented
9#31042C211yesmaximal, characteristic, complemented
10#31022C211yesmaximal, characteristic, complemented
11#31012C211yesmaximal, characteristic, complemented
12#30989C211yesmaximal, characteristic, complemented
13#30468C211yesmaximal, characteristic, complemented
14#30462C211yesmaximal, characteristic, complemented
15#29607C211yesmaximal, characteristic, complemented
16#29602C211yesmaximal, characteristic, complemented
17#26686C211yesmaximal, characteristic, complemented
18#26675C211yesmaximal, characteristic, complemented
19#26634C211yesmaximal, characteristic, complemented
20#26616C211yesmaximal, characteristic, complemented
21#25765C211yesmaximal, characteristic, complemented
22#25174C211yesmaximal, characteristic, complemented
23#25150C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24236C211yesmaximal, characteristic, complemented
26#23929C211yesmaximal, characteristic, complemented
27#23924C211yesmaximal, characteristic, complemented
28#23869C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#496C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic, complemented
42C2×#464C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#452C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#449C2211yescharacteristic, complemented
53C2×#449C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#442C2211yescharacteristic, complemented
59C2×C4×D8C2211yescharacteristic
60#2816—21no—
61#2678—21no—
62#2673—21no—
63#2673—21no—
64#2672—21no—
65#2671—21no—
66#2671—21no—
67#2669—21no—
68#2668—21no—
69#2656—21no—
70#2635—21no—
71#2615C2211yescharacteristic, complemented
72#2564—21no—
73#2540C2211yescharacteristic
74#2537C2211yescharacteristic
75#2537C2211yescharacteristic, complemented
76#2501C2211yescharacteristic, complemented
77#2487C2211yescharacteristic, complemented
78#2472—21no—
79#2435C2211yescharacteristic
80#2431C2211yescharacteristic
81#2428—21no—
82#2428C2211yescharacteristic
83#2428C2211yescharacteristic, complemented
84#2428C2211yescharacteristic, complemented
85#2427C2211yescharacteristic
86#2423C2211yescharacteristic, complemented
87#2423C2211yescharacteristic, complemented
88#2416C2211yescharacteristic
89#2415C2211yescharacteristic
90#2410—21no—
91#2408—21no—
92#2408C2211yescharacteristic
93#2407C2211yescharacteristic
94#2407C2211yescharacteristic, complemented
95#2388C2211yescharacteristic
96#2363C2211yescharacteristic
97#2361C2211yescharacteristic
98#2339C2211yescharacteristic, complemented
99#2100C2211yescharacteristic, complemented
100#2099C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic
107#2067C2211yescharacteristic, complemented
108#2066C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2042C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2015C2211yescharacteristic
124#2014C2211yescharacteristic
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic, complemented
129#2001C2211yescharacteristic, complemented
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1973C2211yescharacteristic, complemented
149#1969C2211yescharacteristic, complemented
150#1959C2211yescharacteristic
151#1957C2211yescharacteristic
152#1955C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic
155#1936C2211yescharacteristic
156#1936C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1919C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1873C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1780C2211yescharacteristic, complemented
201#1780C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226#550—42no—
227#550—42no—
228#546—42no—
229#546—42no—
230D42—42no—
231D42—42no—
232#537—42no—
233#537—42no—
234#537—42no—
235#537—42no—
236#535—42no—
237#535—42no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
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×#120—21no—
290C2×C4×Q8C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304#496—42no—
305#482—42no—
306#480—42no—
307#464—42no—
308#463—42no—
309#459—42no—
310#452—42no—
311#452—42no—
312#452—42no—
313#450—42no—
314#449—42no—
315#449—42no—
316#449—42no—
317#449—42no—
318#449—42no—
319#449—42no—
320#447—42no—
321#447—42no—
322#447—42no—
323#442—42no—
324C4×D8—42no—
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382#400—21no—
383#399—21no—
384#399—21no—
385#399—21no—
386#399—21no—
387#399—21no—
388#399—21no—
389#398—21no—
390#398—21no—
391#397—21no—
392#397—21no—
393#396—21no—
394#395D411yescharacteristic
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394D411yescharacteristic
411#394D411yescharacteristic
412#394D411yescharacteristic
413#393—21no—
414#393D411yescharacteristic
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392D411yescharacteristic
428#392D411yescharacteristic
429#392D411yescharacteristic
430#391C2311yescharacteristic
431#391C2311yescharacteristic
432#391C2311yescharacteristic
433#390—21no—
434#390—21no—
435#390—21no—
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#389—21no—
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#389C2311yescharacteristic
445#389C2311yescharacteristic
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#387—21no—
452#387—21no—
453#386—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#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#384C2311yescharacteristic
472#384C2311yescharacteristic
473#381—21no—
474#380—21no—
475#380—21no—
476#380—21no—
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#379—21no—
484#379—21no—
485#379—21no—
486C4×C4⋊C4C2311yescharacteristic
487C4×C22⋊C4—21no—
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C2×#95—21no—
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25—21no—
515C25—21no—
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C22×Q8C2×D411yescharacteristic
541C22×Q8C2411yescharacteristic
542C22×Q8C2411yescharacteristic
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
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—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—44no—
578C22×D4—82no—
579C22×D4—82no—
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604AGL(1,ℤ/8)—416no—
605C2×Q16—22no—
606C2×Q16—41no—
607C2×Q16—41no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
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×M16—41no—
642C2×M16—41no—
643C2×M16—41no—
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652#127—22no—
653#127—22no—
654#127—41no—
655#127—41no—
656#127—44no—
657#127—44no—
658#124—22no—
659#124—41no—
660#124—41no—
661#124—41no—
662#124—44no—
663#123—44no—
664#123—82no—
665#123—82no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—22no—
669C22⋊Q8—22no—
670C22⋊Q8—44no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—44no—
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—44no—
690#121—44no—
691#121—41no—
692#121—41no—
693#121—41no—
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—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—82no—
715#121—82no—
716#121—82no—
717#121—82no—
718#121—82no—
719#121—82no—
720#120—44no—
721#120—44no—
722#120—44no—
723#120—44no—
724#120—44no—
725#120—82no—
726C4×Q8—22no—
727C4×Q8—41no—
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—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743C4×D4—82no—
744#117—22no—
745#117—41no—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
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—41no—
764C2×C4⋊C4—41no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4C2×D411yescharacteristic
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
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—44no—
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
835C2×C42—21no—
836C2×C42—21no—
837C2×C42C2411yescharacteristic
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840#107—22no—
841#107—41no—
842#107—41no—
843#106—22no—
844C4⋊C8—41no—
845C4⋊C8—41no—
846C4⋊C8—41no—
847#103—22no—
848#103—22no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103—41no—
855#103—41no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894#97—41no—
895#97—41no—
896C4×C8—41no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
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#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—42no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—42no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24C22×D411yescharacteristic
940C24C22×D411yescharacteristic
941C24C22×D411yescharacteristic
942C24C22×D411yescharacteristic
943#41—44no—
944#41—82no—
945#41—82no—
946#41—82no—
947#41—82no—
948#41—82no—
949#41—82no—
950#41—82no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—41no—
971C2×Q8—41no—
972C2×Q8—41no—
973C2×Q8H(5,𝔽2)12yes—
974C2×D4—24no—
975C2×D4—24no—
976C2×D4—24no—
977C2×D4—22no—
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—21no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
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—44no—
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—42no—
1044C2×D4—42no—
1045C2×D4—42no—
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—82no—
1055C2×D4—82no—
1056C2×D4—82no—
1057C2×D4—82no—
1058C2×D4—82no—
1059C2×D4—82no—
1060C2×D4—82no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
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—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—816no—
1094C2×D4H(5,𝔽2)12yes—
1095C2×D4H(5,𝔽2)12yes—
1096C2×D4H(5,𝔽2)12yes—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—24no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
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×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
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×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C2511yescharacteristic
1170Q16—82no—
1171SD16—44no—
1172SD16—44no—
1173SD16—82no—
1174SD16—82no—
1175SD16—82no—
1176D8—44no—
1177D8—44no—
1178D8—44no—
1179D8—44no—
1180D8—82no—
1181D8—82no—
1182M16—44no—
1183C2×C8—21no—
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×C8—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
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—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4H(5,𝔽2)12yes—
1243C4⋊C4H(5,𝔽2)12yes—
1244C22⋊C4—24no—
1245C22⋊C4—24no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—41no—
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—41no—
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—81no—
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—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—42no—
1306C42—42no—
1307C42—81no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—22no—
1321C23—22no—
1322C23—21no—
1323C23—22no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
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—84no—
1372C23—84no—
1373C23—84no—
1374C23—84no—
1375C23—84no—
1376C23—162no—
1377C23—162no—
1378C23—162no—
1379C23—162no—
1380C23—162no—
1381C23—162no—
1382C23—162no—
1383C23—162no—
1384C23—162no—
1385C23C23×D411yescharacteristic
1386Q8—22no—
1387Q8—22no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—82no—
1395D4—22no—
1396D4—22no—
1397D4—22no—
1398D4—22no—
1399D4—22no—
1400D4—22no—
1401D4—44no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—84no—
1417D4—84no—
1418D4—84no—
1419D4—84no—
1420D4—82no—
1421D4—82no—
1422D4—84no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431D4—162no—
1432D4—162no—
1433D4—162no—
1434D4—162no—
1435D4—162no—
1436D4—162no—
1437D4—162no—
1438D4—162no—
1439D4—162no—
1440D4—162no—
1441D4—162no—
1442D4—162no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
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—41no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—84no—
1525C2×C4—162no—
1526C2×C4—162no—
1527C2×C4—162no—
1528C2×C4—162no—
1529C2×C4—162no—
1530C2×C4#57612yes—
1531C2×C4C2×H(5,𝔽2)11yescharacteristic
1532C2×C4C2×H(5,𝔽2)11yescharacteristic
1533C2×C4C2×H(5,𝔽2)11yescharacteristic
1534C2×C4C2×H(5,𝔽2)11yescharacteristic
1535C2×C4C2×H(5,𝔽2)11yescharacteristic
1536C2×C4C2×H(5,𝔽2)11yescharacteristic
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
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—168no—
1609C22—168no—
1610C22#348411yescharacteristic
1611C22#348411yescharacteristic
1612C22#348411yescharacteristic
1613C22C2×#57611yescharacteristic
1614C22#358511yescharacteristic
1615C22#358511yescharacteristic
1616C22#358611yescharacteristic
1617C4—22no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—81no—
1631C4—81no—
1632C4—81no—
1633C4—81no—
1634C4—81no—
1635C4—81no—
1636C4—81no—
1637C4—81no—
1638C4#353211yescharacteristic
1639C4#353711yescharacteristic
1640C4#353711yescharacteristic
1641C4#354311yescharacteristic
1642C2—81no—
1643C2—81no—
1644C2—81no—
1645C2—81no—
1646C2—82no—
1647C2—82no—
1648C2—82no—
1649C2—161no—
1650C2—161no—
1651C2#4782711yescharacteristic
1652C2#6160911yescharacteristic
1653C2#6165311yescharacteristic
1654C2#6165611yescharacteristic
1655C2#6167711yescharacteristic
1656C2#6168411yescharacteristic
1657C2#6168811yescharacteristic
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. #44868C2semidirect
2. #42909C2semidirect
3. #32042C2semidirect
4. #31862C2semidirect
5. #31834C2semidirect
6. #31680C2semidirect
7. #31411C2semidirect
8. #31404C2semidirect
9. #31042C2semidirect
10. #31022C2semidirect
11. #31012C2semidirect
12. #30989C2semidirect
13. #30468C2semidirect
14. #30462C2semidirect
15. #29607C2semidirect
16. #29602C2semidirect
17. #26686C2semidirect
18. #26675C2semidirect
19. #26634C2semidirect
20. #26616C2semidirect
21. #25765C2semidirect
22. #25174C2semidirect
23. #25150C2semidirect
24. #24257C2semidirect
25. #24236C2semidirect
26. #23929C2semidirect
27. #23924C2semidirect
28. #23869C2semidirect
29. #23863C2semidirect
30. #23860C2semidirect
31. #23313C2semidirect
33. C2×#550C22semidirect
37. C2×#537C22semidirect
39. C2×#496C22semidirect
40. C2×#482C22semidirect
41. C2×#480C22semidirect
42. C2×#464C22semidirect
45. C2×#452C22semidirect
46. C2×#452C22semidirect
47. C2×#452C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
52. C2×#449C22semidirect
53. C2×#449C22semidirect
58. C2×#442C22semidirect
71. #2615C22semidirect
75. #2537C22semidirect
76. #2501C22semidirect
77. #2487C22semidirect
83. #2428C22semidirect
84. #2428C22semidirect
86. #2423C22semidirect
87. #2423C22semidirect
94. #2407C22semidirect
98. #2339C22semidirect
99. #2100C22semidirect
100. #2099C22semidirect
101. #2076C22semidirect
102. #2076C22semidirect
103. #2072C22semidirect
104. #2071C22semidirect
105. #2068C22semidirect
107. #2067C22semidirect
108. #2066C22semidirect
109. #2055C22semidirect
110. #2054C22semidirect
111. #2042C22semidirect
112. #2042C22semidirect
113. #2036C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
117. #2034C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
128. #2011C22semidirect
129. #2001C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1982C22semidirect
148. #1973C22semidirect
149. #1969C22semidirect
152. #1955C22semidirect
153. #1955C22semidirect
156. #1936C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1919C22semidirect
166. #1918C22semidirect
168. #1895C22semidirect
169. #1894C22semidirect
171. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1875C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
183. #1873C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1825C22semidirect
192. #1824C22semidirect
194. #1802C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
200. #1780C22semidirect
201. #1780C22semidirect
202. #1763C22semidirect

Maximal subgroups

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

subgroupindex
#448682
#429092
#320422
#318622
#318342
#316802
#314112
#314042
#310422
#310222
#310122
#309892
#304682
#304622
#296072
#296022
#266862
#266752
#266342
#266162
#257652
#251742
#251502
#242572
#242362
#239292
#239242
#238692
#238632
#238602
#233132