Finite Group Databasebeta

← #7021861

Subgroups — #7021861

Order 512.

2345 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3308C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3#45134C211yesmaximal, characteristic, complemented
4#44930C211yesmaximal, characteristic, complemented
5#30937C211yesmaximal, characteristic, complemented
6#30901C211yesmaximal, characteristic, complemented
7#30855C211yesmaximal, characteristic, complemented
8#30755C211yesmaximal, characteristic, complemented
9#30723C211yesmaximal, characteristic, complemented
10#30535C211yesmaximal, characteristic, complemented
11#30514C211yesmaximal, characteristic, complemented
12#30471C211yesmaximal, characteristic, complemented
13#28129C211yesmaximal, characteristic, complemented
14#28108C211yesmaximal, characteristic, complemented
15#26915C211yesmaximal, characteristic, complemented
16#26645C211yesmaximal, characteristic, complemented
17#26612C211yesmaximal, characteristic, complemented
18#25166C211yesmaximal, characteristic, complemented
19#25100C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24373C211yesmaximal, characteristic, complemented
22#24271C211yesmaximal, characteristic, complemented
23#24219C211yesmaximal, characteristic, complemented
24#24049C211yesmaximal, characteristic, complemented
25#23972C211yesmaximal, characteristic, complemented
26#23871C211yesmaximal, characteristic, complemented
27#23870C211yesmaximal, characteristic, complemented
28#23863C211yesmaximal, characteristic, complemented
29#23427C211yesmaximal, characteristic, complemented
30#22193C211yesmaximal, characteristic, complemented
31#22177C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#547C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#536C2211yescharacteristic
41#3308—28no—
42#3268—28no—
43C2×#496C2211yescharacteristic
44C2×#489C2211yescharacteristic
45C2×#484C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#477C2211yescharacteristic, complemented
48C2×#470C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#464C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#461C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic
61C2×#452C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#448C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#440C2211yescharacteristic
69C2×#440C2211yescharacteristic, complemented
70C2×#435C2211yescharacteristic
71C2×#435C2211yescharacteristic, complemented
72C2×#417C2211yescharacteristic
73C2×#417C2211yescharacteristic
74C22×#103C2211yescharacteristic, complemented
75#2709—21no—
76#2701—21no—
77#2680—21no—
78#2678—21no—
79#2672—21no—
80#2672—21no—
81#2671—21no—
82#2671—21no—
83#2547C2211yescharacteristic
84#2542C2211yescharacteristic
85#2491C2211yescharacteristic
86#2487C2211yescharacteristic
87#2472—21no—
88#2457—21no—
89#2451C2211yescharacteristic, complemented
90#2450—21no—
91#2445C2211yescharacteristic, complemented
92#2437—21no—
93#2435C2211yescharacteristic
94#2432C2211yescharacteristic
95#2431—21no—
96#2430—21no—
97#2429C2211yescharacteristic
98#2428C2211yescharacteristic, complemented
99#2427C2211yescharacteristic
100#2422—21no—
101#2418—21no—
102#2416C2211yescharacteristic
103#2409C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic, complemented
107#2392C2211yescharacteristic
108#2367C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110#2339C2211yescharacteristic
111#2324C2211yescharacteristic
112#2324C2211yescharacteristic, complemented
113#2311C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2066C2211yescharacteristic, complemented
118#2055C2211yescharacteristic
119#2055C2211yescharacteristic
120#2055C2211yescharacteristic, complemented
121#2054C2211yescharacteristic
122#2043C2211yescharacteristic, complemented
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic
125#2042C2211yescharacteristic
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2035C2211yescharacteristic
129#2035C2211yescharacteristic
130#2024C2211yescharacteristic, complemented
131#2023C2211yescharacteristic
132#2016C2211yescharacteristic, complemented
133#2016C2211yescharacteristic, complemented
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic
136#2015C2211yescharacteristic
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1983C2211yescharacteristic
155#1981C2211yescharacteristic, complemented
156#1972C2211yescharacteristic
157#1971C2211yescharacteristic, complemented
158#1935C2211yescharacteristic, complemented
159#1935C2211yescharacteristic, complemented
160#1928C2211yescharacteristic, complemented
161#1926C2211yescharacteristic
162#1926C2211yescharacteristic, complemented
163#1925C2211yescharacteristic, complemented
164#1924C2211yescharacteristic
165#1924C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1918C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1917C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic, complemented
172#1894C2211yescharacteristic
173#1894C2211yescharacteristic
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1878C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1877C2211yescharacteristic
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic
187#1870C2211yescharacteristic
188#1870C2211yescharacteristic
189#1870C2211yescharacteristic, complemented
190#1864C2211yescharacteristic
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic
193#1862C2211yescharacteristic
194#1851C2211yescharacteristic
195#1851C2211yescharacteristic, complemented
196#1824C2211yescharacteristic, complemented
197#1807C2211yescharacteristic, complemented
198#1798C2211yescharacteristic, complemented
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1786C2211yescharacteristic
204#1729C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×#137—42no—
213C2×#137—42no—
214C2×#137—42no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×#135—24no—
219C2×#135—42no—
220C2×#135—42no—
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C23×C8C2311yescharacteristic
240#550—24no—
241#550—42no—
242#548—24no—
243#548—42no—
244#547—24no—
245#547—42no—
246#546—24no—
247#546—42no—
248#546—42no—
249#546—42no—
250#536—42no—
251#536—42no—
252C2×C4⋊Q8C2311yescharacteristic
253C2×C4⋊Q8C2311yescharacteristic
254C2×C4⋊Q8C2311yescharacteristic
255C2×#127—21no—
256C2×#127C2311yescharacteristic
257C2×#124—21no—
258C2×#124—21no—
259C2×#124C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#123—21no—
264C2×#123—21no—
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120—21no—
294C2×#120—21no—
295C2×C4×Q8C2311yescharacteristic
296C2×C4×Q8C2311yescharacteristic
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311#496—24no—
312#489—24no—
313#484—24no—
314#480—24no—
315#477—24no—
316#470—42no—
317#469—42no—
318#468—24no—
319#468—24no—
320#466D418yescomplemented
321#464—24no—
322#463—24no—
323#463—42no—
324#461—42no—
325#459—24no—
326#452—24no—
327#452—42no—
328#452—42no—
329#452—42no—
330#449—24no—
331#449—24no—
332#449—24no—
333#449—42no—
334#448—24no—
335#447—24no—
336#440—24no—
337#440—24no—
338#435—24no—
339#435—24no—
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349#417—24no—
350#417—42no—
351C2×#103—24no—
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×#97C2311yescharacteristic
396#400—21no—
397#399—21no—
398#399—21no—
399#399—21no—
400#398—21no—
401#398—21no—
402#398D411yescharacteristic
403#397—21no—
404#397—21no—
405#397—21no—
406#397D411yescharacteristic
407#396—21no—
408#396—21no—
409#396D411yescharacteristic
410#396D411yescharacteristic
411#395—21no—
412#395—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#394—21no—
424#394—21no—
425#394—21no—
426#394D411yescharacteristic
427#394D411yescharacteristic
428#394D411yescharacteristic
429#393—21no—
430#393—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392D411yescharacteristic
436#391—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#390—21no—
444#390—21no—
445#390—21no—
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#389—21no—
453#389—21no—
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#385—21no—
482#385—21no—
483#385—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#384—21no—
493#381—21no—
494#380—21no—
495#380—21no—
496#380—21no—
497#380—21no—
498#380—21no—
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#379—21no—
504#379—21no—
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
512C2×#95—21no—
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—44no—
559C2×#41—82no—
560C2×#41—82no—
561C22×Q8—21no—
562C22×Q8—21no—
563C22×Q8—22no—
564C22×Q8—22no—
565C22×Q8—22no—
566C22×Q8—41no—
567C22×Q8—41no—
568C22×Q8—41no—
569C22×Q8C2411yescharacteristic
570C22×Q8C2411yescharacteristic
571C22×Q8C2411yescharacteristic
572C22×Q8C2411yescharacteristic
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4C2×D411yescharacteristic
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C22×D4C2411yescharacteristic
598C22×D4C2411yescharacteristic
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613#137—416no—
614AGL(1,ℤ/8)—416no—
615#135—416no—
616C2×Q16—22no—
617C2×Q16—22no—
618C2×Q16—22no—
619C2×Q16—22no—
620C2×Q16—22no—
621C2×Q16—41no—
622C2×Q16—41no—
623C2×Q16—41no—
624C2×Q16—41no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8C2×D414yes—
661C2×M16—22no—
662C2×M16—22no—
663C2×M16—22no—
664C2×M16—41no—
665C2×M16—41no—
666C2×M16—41no—
667C2×M16—41no—
668C2×M16—41no—
669C2×M16—41no—
670C22×C8—41no—
671C22×C8—41no—
672C22×C8C2×D414yes—
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C4⋊Q8—22no—
682C4⋊Q8—22no—
683C4⋊Q8—41no—
684C4⋊Q8—41no—
685C4⋊Q8—41no—
686C4⋊Q8—41no—
687#127—22no—
688#127—41no—
689#127—44no—
690#124—22no—
691#124—22no—
692#124—22no—
693#124—22no—
694#124—22no—
695#124—41no—
696#124—41no—
697#124—41no—
698#124—44no—
699#124—82no—
700#123—44no—
701#123—44no—
702#123—44no—
703#123—44no—
704#123—44no—
705#123—44no—
706#123—82no—
707C22⋊Q8—22no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—44no—
712C22⋊Q8—44no—
713C22⋊Q8—44no—
714C22⋊Q8—44no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
718C22⋊Q8—41no—
719C22⋊Q8—41no—
720C22⋊Q8—41no—
721C22⋊Q8—41no—
722C22⋊Q8—41no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—44no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—44no—
736#121—41no—
737#121—41no—
738#121—82no—
739#121—82no—
740#121C2×D414yes—
741#121C2×D414yes—
742#120—44no—
743#120—44no—
744C4×Q8—22no—
745C4×Q8—22no—
746C4×Q8—41no—
747C4×Q8—41no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—44no—
763C4×D4—44no—
764#117—41no—
765#117—41no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
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—41no—
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
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—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—44no—
845C2×C22⋊C4—44no—
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42—21no—
862C2×C42C2411yescharacteristic
863C2×C42C2411yescharacteristic
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866#107—22no—
867#107—22no—
868#107C2×D414yes—
869#106—41no—
870#106—41no—
871C4⋊C8—22no—
872C4⋊C8—22no—
873C4⋊C8—41no—
874C4⋊C8—41no—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103—22no—
885#103—41no—
886#103—41no—
887#103—41no—
888#103—41no—
889#103—41no—
890#103—41no—
891#103—41no—
892#103—41no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102C2×D414yes—
908#102C2×D414yes—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917#97—22no—
918#97—22no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24C22×D411yescharacteristic
959C24C22×D411yescharacteristic
960C24C22×D411yescharacteristic
961#41—44no—
962#41—44no—
963#41—44no—
964#41—44no—
965#41—44no—
966#41—44no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—82no—
972#41—82no—
973#41—82no—
974#41—82no—
975#41—82no—
976#41—82no—
977#41—816no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—21no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—42no—
1001C2×Q8—42no—
1002C2×Q8—42no—
1003C2×Q8—44no—
1004C2×Q8—44no—
1005C2×Q8—42no—
1006C2×Q8—81no—
1007C2×Q8—81no—
1008C2×Q8—82no—
1009C2×Q8—82no—
1010C2×Q8H(5,𝔽2)12yes—
1011C2×Q8H(5,𝔽2)12yes—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—44no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—82no—
1068C2×D4—82no—
1069C2×D4—82no—
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×D4C22×D412yes—
1086C2×D4C22×D412yes—
1087C2×D4H(5,𝔽2)12yes—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
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—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—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
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—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4—81no—
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×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D412yes—
1161C22×C4H(5,𝔽2)12yes—
1162C22×C4C2511yescharacteristic
1163Q16—44no—
1164Q16—44no—
1165Q16—44no—
1166SD16—28no—
1167SD16—44no—
1168SD16—44no—
1169SD16—44no—
1170SD16—44no—
1171SD16—44no—
1172SD16—82no—
1173SD16—82no—
1174D8—44no—
1175D8—44no—
1176D8—44no—
1177D8—82no—
1178M16—44no—
1179M16—44no—
1180M16—82no—
1181C2×C8—21no—
1182C2×C8—21no—
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—44no—
1204C2×C8C22×D412yes—
1205C2×C8C22×D412yes—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
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—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
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—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4—81no—
1244C4⋊C4—81no—
1245C4⋊C4—81no—
1246C4⋊C4C22×D412yes—
1247C4⋊C4C22×D412yes—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
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—
1299C22⋊C4—81no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—42no—
1309C42—42no—
1310C42—81no—
1311C42—81no—
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—21no—
1326C23—22no—
1327C23—21no—
1328C23—21no—
1329C23—22no—
1330C23—22no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
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—84no—
1361C23—84no—
1362C23—84no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23—162no—
1367C23D4212yes—
1368C23C23×D411yescharacteristic
1369Q8—22no—
1370Q8—22no—
1371Q8—22no—
1372Q8—22no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—41no—
1378Q8—41no—
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—84no—
1386Q8—84no—
1387D4—22no—
1388D4—22no—
1389D4—22no—
1390D4—22no—
1391D4—22no—
1392D4—22no—
1393D4—44no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—82no—
1405D4—84no—
1406D4—84no—
1407D4—84no—
1408D4—82no—
1409D4—84no—
1410D4—84no—
1411D4—84no—
1412D4—84no—
1413D4—84no—
1414D4—84no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
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—84no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4—162no—
1508C2×C4—162no—
1509C2×C4—162no—
1510C2×C4D4212yes—
1511C2×C4C23×D411yescharacteristic
1512C2×C4C2×H(5,𝔽2)11yescharacteristic
1513C2×C4C2×H(5,𝔽2)11yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C2×C4C2×H(5,𝔽2)11yescharacteristic
1516C2×C4#58511yescharacteristic
1517C8—22no—
1518C8—22no—
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—168no—
1575C22C2×D4211yescharacteristic
1576C22#348411yescharacteristic
1577C22#348811yescharacteristic
1578C22#358511yescharacteristic
1579C22#358511yescharacteristic
1580C22#358611yescharacteristic
1581C22#358611yescharacteristic
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4—81no—
1605C4#348411yescharacteristic
1606C4#348811yescharacteristic
1607C4#353211yescharacteristic
1608C4#353411yescharacteristic
1609C2—42no—
1610C2—81no—
1611C2—81no—
1612C2—82no—
1613C2—82no—
1614C2—82no—
1615C2—161no—
1616C2#4309811yescharacteristic
1617C2#6105811yescharacteristic
1618C2#6106411yescharacteristic
1619C2#6165611yescharacteristic
1620C2#6167711yescharacteristic
1621C2#6207811yescharacteristic
1622C2#6209411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3308C2semidirect
2. C2×#3268C2semidirect
3. #45134C2semidirect
4. #44930C2semidirect
5. #30937C2semidirect
6. #30901C2semidirect
7. #30855C2semidirect
8. #30755C2semidirect
9. #30723C2semidirect
10. #30535C2semidirect
11. #30514C2semidirect
12. #30471C2semidirect
13. #28129C2semidirect
14. #28108C2semidirect
15. #26915C2semidirect
16. #26645C2semidirect
17. #26612C2semidirect
18. #25166C2semidirect
19. #25100C2semidirect
20. #24444C2semidirect
21. #24373C2semidirect
22. #24271C2semidirect
23. #24219C2semidirect
24. #24049C2semidirect
25. #23972C2semidirect
26. #23871C2semidirect
27. #23870C2semidirect
28. #23863C2semidirect
29. #23427C2semidirect
30. #22193C2semidirect
31. #22177C2semidirect
32. C22×#137C22semidirect
37. C2×#547C22semidirect
45. C2×#484C22semidirect
47. C2×#477C22semidirect
48. C2×#470C22semidirect
51. C2×#468C22semidirect
56. C2×#461C22semidirect
66. C2×#448C22semidirect
69. C2×#440C22semidirect
71. C2×#435C22semidirect
74. C22×#103C22semidirect
89. #2451C22semidirect
91. #2445C22semidirect
98. #2428C22semidirect
106. #2407C22semidirect
109. #2360C22semidirect
112. #2324C22semidirect
113. #2311C22semidirect
114. #2068C22semidirect
115. #2067C22semidirect
116. #2066C22semidirect
117. #2066C22semidirect
120. #2055C22semidirect
122. #2043C22semidirect
130. #2024C22semidirect
132. #2016C22semidirect
133. #2016C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2013C22semidirect
140. #2013C22semidirect
141. #2013C22semidirect
146. #2001C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
155. #1981C22semidirect
157. #1971C22semidirect
158. #1935C22semidirect
159. #1935C22semidirect
160. #1928C22semidirect
162. #1926C22semidirect
163. #1925C22semidirect
165. #1924C22semidirect
166. #1918C22semidirect
167. #1918C22semidirect
168. #1917C22semidirect
169. #1917C22semidirect
171. #1895C22semidirect
174. #1880C22semidirect
179. #1878C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
183. #1877C22semidirect
185. #1872C22semidirect
189. #1870C22semidirect
191. #1864C22semidirect
195. #1851C22semidirect
196. #1824C22semidirect
197. #1807C22semidirect
198. #1798C22semidirect
200. #1788C22semidirect
201. #1787C22semidirect
204. #1729C22semidirect
320. #466D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33082
C2×#32682
#451342
#449302
#309372
#309012
#308552
#307552
#307232
#305352
#305142
#304712
#281292
#281082
#269152
#266452
#266122
#251662
#251002
#244442
#243732
#242712
#242192
#240492
#239722
#238712
#238702
#238632
#234272
#221932
#221772