Finite Group Databasebeta

← #7561339

Subgroups — #7561339

Order 512.

2281 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3313C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3#45404C211yesmaximal, characteristic, complemented
4#35831C211yesmaximal, characteristic, complemented
5#30898C211yesmaximal, characteristic, complemented
6#30750C211yesmaximal, characteristic, complemented
7#30566C211yesmaximal, characteristic, complemented
8#30417C211yesmaximal, characteristic, complemented
9#28931C211yesmaximal, characteristic, complemented
10#28590C211yesmaximal, characteristic, complemented
11#28321C211yesmaximal, characteristic, complemented
12#27231C211yesmaximal, characteristic, complemented
13#26954C211yesmaximal, characteristic, complemented
14#26397C211yesmaximal, characteristic, complemented
15#26185C211yesmaximal, characteristic, complemented
16#25556C211yesmaximal, characteristic, complemented
17#25416C211yesmaximal, characteristic, complemented
18#25247C211yesmaximal, characteristic, complemented
19#25169C211yesmaximal, characteristic, complemented
20#25155C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#24455C211yesmaximal, characteristic, complemented
23#24426C211yesmaximal, characteristic, complemented
24#24034C211yesmaximal, characteristic, complemented
25#23866C211yesmaximal, characteristic, complemented
26#23854C211yesmaximal, characteristic, complemented
27#23124C211yesmaximal, characteristic, complemented
28#22865C211yesmaximal, characteristic, complemented
29#22441C211yesmaximal, characteristic, complemented
30#21461C211yesmaximal, characteristic, complemented
31#20932C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#556C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#520C2211yescharacteristic
40#3313—28no—
41#3268—28no—
42C2×#496C2211yescharacteristic
43C2×#489C2211yescharacteristic, complemented
44C2×#485C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#482C2211yescharacteristic, complemented
47C2×#477C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#467C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#464C2211yescharacteristic
54C2×#464C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#451C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic
62C2×#448C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#441C2211yescharacteristic, complemented
66C2×#441C2211yescharacteristic, complemented
67C2×#440C2211yescharacteristic
68C2×C4×SD16C2211yescharacteristic, complemented
69C2×#435C2211yescharacteristic
70C2×#435C2211yescharacteristic
71C2×#419C2211yescharacteristic, complemented
72C2×#416C2211yescharacteristic
73C22×#102C2211yescharacteristic
74#2714—21no—
75#2705—21no—
76#2685—21no—
77#2670—21no—
78#2620—21no—
79#2620C2211yescharacteristic
80#2544—21no—
81#2544C2211yescharacteristic, complemented
82#2537—21no—
83#2537C2211yescharacteristic, complemented
84#2491C2211yescharacteristic
85#2485C2211yescharacteristic
86#2480—21no—
87#2472—21no—
88#2458—21no—
89#2452C2211yescharacteristic
90#2448C2211yescharacteristic
91#2428—21no—
92#2428C2211yescharacteristic, complemented
93#2427—21no—
94#2427C2211yescharacteristic, complemented
95#2426—21no—
96#2426C2211yescharacteristic
97#2417—21no—
98#2417C2211yescharacteristic
99#2416—21no—
100#2416C2211yescharacteristic
101#2414C2211yescharacteristic
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2392—21no—
105#2392C2211yescharacteristic
106#2363C2211yescharacteristic
107Q8×C4⋊C4C2211yescharacteristic, complemented
108#2341C2211yescharacteristic
109#2341C2211yescharacteristic, complemented
110Q8×C22⋊C4C2211yescharacteristic, complemented
111#2323C2211yescharacteristic
112#2309C2211yescharacteristic
113#2094C2211yescharacteristic
114#2093C2211yescharacteristic
115#2088C2211yescharacteristic, complemented
116#2083C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2072C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic
121#2057C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1973C2211yescharacteristic
146#1972C2211yescharacteristic
147#1972C2211yescharacteristic
148#1970C2211yescharacteristic
149#1968C2211yescharacteristic
150#1944C2211yescharacteristic, complemented
151#1936C2211yescharacteristic
152#1935C2211yescharacteristic, complemented
153#1928C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1894C2211yescharacteristic
161#1893C2211yescharacteristic
162#1892C2211yescharacteristic, complemented
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic
191#1854C2211yescharacteristic, complemented
192#1853C2211yescharacteristic
193#1807C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1750C2211yescharacteristic
203#1736C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×#135—24no—
214C2×#135—24no—
215C2×#135—42no—
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#556—24no—
233#556—42no—
234#550—24no—
235#550—42no—
236#548—24no—
237#548—42no—
238#548—42no—
239#548—42no—
240#546—24no—
241#546—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#126—21no—
246C2×#126—21no—
247C2×#124—21no—
248C2×#124—21no—
249C2×#124—21no—
250C2×#124—21no—
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254C2×#123—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279#520—42no—
280#520—42no—
281C2×C4×Q8—21no—
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
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×#117—21no—
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C22×C4⋊C4—21no—
304C22×C4⋊C4C2311yescharacteristic
305C22×C22⋊C4—21no—
306#496—24no—
307#489—24no—
308#485—24no—
309#482—24no—
310#482—42no—
311#477—24no—
312#469—42no—
313#468—24no—
314#468—24no—
315#467—24no—
316#466—24no—
317#464—24no—
318#464—24no—
319#459—24no—
320#452—42no—
321#452D418yescomplemented
322#451—24no—
323#450—42no—
324#449—24no—
325#449—24no—
326#448—24no—
327#448—42no—
328#447—24no—
329#441—24no—
330#441—42no—
331#440—24no—
332C4×SD16—42no—
333#435—24no—
334#435—24no—
335C2×#107C2311yescharacteristic
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×C4⋊C8C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345#419—24no—
346#416—24no—
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102—42no—
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×#97C2311yescharacteristic
390C2×#97C2311yescharacteristic
391C2×C4×C8C2311yescharacteristic
392#399—21no—
393#398—21no—
394#398D411yescharacteristic
395#397—21no—
396#397—21no—
397#397—21no—
398#397D411yescharacteristic
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396D411yescharacteristic
406#396D411yescharacteristic
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#394D411yescharacteristic
423#394D411yescharacteristic
424#394D411yescharacteristic
425#393—21no—
426#393—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392D411yescharacteristic
432#391—21no—
433#391—21no—
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#389—21no—
455#389—21no—
456#389—21no—
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#387—21no—
472#387—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#384—21no—
484#384C2311yescharacteristic
485#380—21no—
486#380—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41C2×D414yes—
549C22×Q8—21no—
550C22×Q8—21no—
551C22×Q8—22no—
552C22×Q8—22no—
553C22×Q8—22no—
554C22×Q8—41no—
555C22×Q8—41no—
556C22×Q8—41no—
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×D4—21no—
561C22×D4—22no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—22no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—22no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597AGL(1,ℤ/8)—416no—
598#135—416no—
599C2×Q16—22no—
600C2×Q16—22no—
601C2×Q16—22no—
602C2×Q16—41no—
603C2×Q16—41no—
604C2×Q16C2×D414yes—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16C2×D414yes—
622C2×SD16#4114yes—
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×M16—22no—
636C2×M16—22no—
637C2×M16—22no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C22×C8—22no—
642C22×C8—22no—
643C22×C8—22no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C4⋊Q8—22no—
656C4⋊Q8—41no—
657#127—22no—
658#127—41no—
659#127—44no—
660#126—44no—
661#126—44no—
662#124—22no—
663#124—22no—
664#124—41no—
665#124—41no—
666#124—41no—
667#124—41no—
668#124—44no—
669#124—44no—
670#124—44no—
671#124—82no—
672#123—44no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—44no—
681C22⋊Q8—44no—
682C22⋊Q8—82no—
683C22⋊Q8C2×D414yes—
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—44no—
700#121—44no—
701#121—41no—
702#121—41no—
703#121—82no—
704#121—82no—
705#121—82no—
706#120—44no—
707#120—82no—
708C4×Q8—22no—
709C4×Q8—22no—
710C4×Q8—22no—
711C4×Q8—22no—
712C4×Q8—22no—
713C4×Q8—22no—
714C4×Q8—41no—
715C4×Q8—41no—
716C4×Q8—41no—
717C4×Q8—41no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×Q8—44no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—44no—
734C4×D4—44no—
735C4×D4—44no—
736C4×D4—44no—
737C4×D4—44no—
738#117—22no—
739#117—22no—
740#117—22no—
741#117—41no—
742#117—41no—
743#117—44no—
744#117—41no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—22no—
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—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4—44no—
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
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—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42C2411yescharacteristic
849C2×C42C2411yescharacteristic
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852#107—22no—
853#107—22no—
854#107—22no—
855#107—41no—
856#106—22no—
857#106—22no—
858#106—41no—
859#106—41no—
860C4⋊C8—22no—
861C4⋊C8—22no—
862#103—22no—
863#103—22no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—22no—
872#103—22no—
873#103—41no—
874#103—41no—
875#103C2×D414yes—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102C2×D414yes—
894C22⋊C8—22no—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8C2×D414yes—
902#97—22no—
903#97—22no—
904#97—41no—
905C4×C8—41no—
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#95—21no—
922#95—21no—
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—21no—
933C24—42no—
934C24—42no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24C22×D411yescharacteristic
941C24C22×D411yescharacteristic
942C24C22×D411yescharacteristic
943#41—28no—
944#41—44no—
945#41—44no—
946#41—44no—
947#41—44no—
948#41—44no—
949#41—82no—
950#41—82no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
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—42no—
970C2×Q8—42no—
971C2×Q8—42no—
972C2×Q8—42no—
973C2×Q8—42no—
974C2×Q8—44no—
975C2×Q8—81no—
976C2×Q8—82no—
977C2×Q8—82no—
978C2×Q8—82no—
979C2×Q8C22×D412yes—
980C2×Q8C22×D412yes—
981C2×Q8C2×#4112yes—
982C2×Q8H(5,𝔽2)12yes—
983C2×D4—24no—
984C2×D4—22no—
985C2×D4—22no—
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—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
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—82no—
1038C2×D4—82no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
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×D4C22×D412yes—
1058C2×D4C2×#4112yes—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—24no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D412yes—
1123C22×C4H(5,𝔽2)12yes—
1124C22×C4C2511yescharacteristic
1125Q16—28no—
1126Q16—82no—
1127SD16—28no—
1128SD16—44no—
1129SD16—44no—
1130SD16—44no—
1131SD16—82no—
1132SD16—82no—
1133D8—44no—
1134D8—44no—
1135D8—44no—
1136D8—82no—
1137M16—44no—
1138M16—82no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—44no—
1161C2×C8—82no—
1162C2×C8C22×D412yes—
1163C2×C8C22×D412yes—
1164C2×C8C2×#4112yes—
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—81no—
1200C4⋊C4—81no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4C22×D412yes—
1208C4⋊C4H(5,𝔽2)12yes—
1209C22⋊C4—24no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C42—24no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—42no—
1274C42—42no—
1275C42—42no—
1276C42—42no—
1277C42—42no—
1278C42—42no—
1279C42—81no—
1280C42—81no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—22no—
1298C23—22no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—84no—
1330C23—84no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23D4212yes—
1337C23C23×D411yescharacteristic
1338Q8—22no—
1339Q8—22no—
1340Q8—22no—
1341Q8—22no—
1342Q8—22no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—84no—
1350Q8—84no—
1351Q8#54614yes—
1352D4—22no—
1353D4—22no—
1354D4—22no—
1355D4—22no—
1356D4—48no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—84no—
1370D4—84no—
1371D4—82no—
1372D4—82no—
1373D4—82no—
1374D4—84no—
1375D4—84no—
1376D4—84no—
1377D4—84no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384C2×C4—22no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—48no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—84no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—162no—
1469C2×C4—162no—
1470C2×C4—162no—
1471C2×C4—162no—
1472C2×C4D4212yes—
1473C2×C4C23×D411yescharacteristic
1474C2×C4C22×#4111yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C2×C4#58511yescharacteristic
1479C8—22no—
1480C8—22no—
1481C8—22no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—42no—
1497C22—41no—
1498C22—42no—
1499C22—41no—
1500C22—41no—
1501C22—42no—
1502C22—41no—
1503C22—41no—
1504C22—42no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—168no—
1537C22C2×D4211yescharacteristic
1538C22D4×#4111yescharacteristic
1539C22#348411yescharacteristic
1540C22#358411yescharacteristic
1541C22#358511yescharacteristic
1542C22#358511yescharacteristic
1543C22#358611yescharacteristic
1544C4—22no—
1545C4—24no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—42no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—81no—
1560C4—81no—
1561C4—81no—
1562C4—81no—
1563C4—81no—
1564C4—81no—
1565C4—81no—
1566C4—81no—
1567C4C2×#54611yescharacteristic
1568C4#349611yescharacteristic
1569C4#351911yescharacteristic
1570C4#353411yescharacteristic
1571C2—42no—
1572C2—81no—
1573C2—81no—
1574C2—82no—
1575C2—82no—
1576C2—161no—
1577C2—161no—
1578C2#5912311yescharacteristic
1579C2#6106311yescharacteristic
1580C2#6107811yescharacteristic
1581C2#6151811yescharacteristic
1582C2#6152711yescharacteristic
1583C2#6162511yescharacteristic
1584C2#6167111yescharacteristic
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×#3313C2semidirect
2. C2×#3268C2semidirect
3. #45404C2semidirect
4. #35831C2semidirect
5. #30898C2semidirect
6. #30750C2semidirect
7. #30566C2semidirect
8. #30417C2semidirect
9. #28931C2semidirect
10. #28590C2semidirect
11. #28321C2semidirect
12. #27231C2semidirect
13. #26954C2semidirect
14. #26397C2semidirect
15. #26185C2semidirect
16. #25556C2semidirect
17. #25416C2semidirect
18. #25247C2semidirect
19. #25169C2semidirect
20. #25155C2semidirect
21. #25124C2semidirect
22. #24455C2semidirect
23. #24426C2semidirect
24. #24034C2semidirect
25. #23866C2semidirect
26. #23854C2semidirect
27. #23124C2semidirect
28. #22865C2semidirect
29. #22441C2semidirect
30. #21461C2semidirect
31. #20932C2semidirect
37. C2×#548C22semidirect
43. C2×#489C22semidirect
46. C2×#482C22semidirect
47. C2×#477C22semidirect
50. C2×#468C22semidirect
54. C2×#464C22semidirect
60. C2×#451C22semidirect
65. C2×#441C22semidirect
66. C2×#441C22semidirect
68. C2×C4×SD16C22semidirect
71. C2×#419C22semidirect
81. #2544C22semidirect
83. #2537C22semidirect
92. #2428C22semidirect
94. #2427C22semidirect
107. Q8×C4⋊C4C22semidirect
109. #2341C22semidirect
110. Q8×C22⋊C4C22semidirect
115. #2088C22semidirect
116. #2083C22semidirect
117. #2076C22semidirect
118. #2072C22semidirect
119. #2066C22semidirect
121. #2057C22semidirect
124. #2042C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
130. #2034C22semidirect
132. #2033C22semidirect
133. #2023C22semidirect
135. #2015C22semidirect
141. #2000C22semidirect
150. #1944C22semidirect
152. #1935C22semidirect
153. #1928C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
162. #1892C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
186. #1865C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1863C22semidirect
191. #1854C22semidirect
193. #1807C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1762C22semidirect
199. C4×#103C22semidirect
200. #1753C22semidirect
201. #1752C22semidirect
321. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33132
C2×#32682
#454042
#358312
#308982
#307502
#305662
#304172
#289312
#285902
#283212
#272312
#269542
#263972
#261852
#255562
#254162
#252472
#251692
#251552
#251242
#244552
#244262
#240342
#238662
#238542
#231242
#228652
#224412
#214612
#209322