Finite Group Databasebeta

← #6682734

Subgroups — #6682734

Order 512.

2588 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#38949C211yesmaximal, characteristic, complemented
4#36258C211yesmaximal, characteristic, complemented
5#32910C211yesmaximal, characteristic, complemented
6#30763C211yesmaximal, characteristic, complemented
7#30747C211yesmaximal, characteristic, complemented
8#30619C211yesmaximal, characteristic, complemented
9#30599C211yesmaximal, characteristic, complemented
10#30475C211yesmaximal, characteristic, complemented
11#30448C211yesmaximal, characteristic, complemented
12#30420C211yesmaximal, characteristic, complemented
13#30410C211yesmaximal, characteristic, complemented
14#30245C211yesmaximal, characteristic, complemented
15#29712C211yesmaximal, characteristic, complemented
16#28567C211yesmaximal, characteristic, complemented
17#28560C211yesmaximal, characteristic, complemented
18#26180C211yesmaximal, characteristic, complemented
19#26158C211yesmaximal, characteristic, complemented
20#24909C211yesmaximal, characteristic, complemented
21#24897C211yesmaximal, characteristic, complemented
22#24452C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24366C211yesmaximal, characteristic, complemented
27#24355C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22174C211yesmaximal, characteristic, complemented
31#20928C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic, complemented
40C2×C4×#41C2211yescharacteristic, complemented
41#3273—28no—
42#3264—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic, complemented
46C2×#469C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#442C2211yescharacteristic
70C2×C4×D8C2211yescharacteristic, complemented
71C2×#436C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×#417C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic, complemented
75#2856C2211yescharacteristic, complemented
76#2854—21no—
77#2850C2211yescharacteristic, complemented
78#2701—21no—
79#2699—21no—
80#2697—21no—
81#2678—21no—
82#2617—21no—
83#2548C2211yescharacteristic, complemented
84#2538C2211yescharacteristic, complemented
85#2447C2211yescharacteristic, complemented
86#2445C2211yescharacteristic, complemented
87#2435C2211yescharacteristic, complemented
88#2431C2211yescharacteristic, complemented
89#2426C2211yescharacteristic, complemented
90#2426C2211yescharacteristic, complemented
91#2424—21no—
92#2424—21no—
93#2420C2211yescharacteristic, complemented
94#2420C2211yescharacteristic, complemented
95#2417C2211yescharacteristic, complemented
96#2416—21no—
97#2416C2211yescharacteristic, complemented
98#2414C2211yescharacteristic
99#2414C2211yescharacteristic, complemented
100#2412—21no—
101#2411—21no—
102#2411—21no—
103#2410—21no—
104#2408—21no—
105#2408C2211yescharacteristic
106#2407C2211yescharacteristic
107D4×C4⋊C4C2211yescharacteristic, complemented
108D4×C22⋊C4C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic, complemented
110#2308—21no—
111C4×#121C2211yescharacteristic
112C2×#390—21no—
113C2×#390C2211yescharacteristic, complemented
114#2096C2211yescharacteristic, complemented
115#2093C2211yescharacteristic, complemented
116#2092C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2088C2211yescharacteristic, complemented
119#2086C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2076C2211yescharacteristic, complemented
122#2071C2211yescharacteristic, complemented
123#2071C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2042C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1892C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1805C2211yescharacteristic, complemented
197#1804C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)D418yescomplemented
219C22×Q16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×D8—24no—
227C22×D8—42no—
228C22×D8—42no—
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C23×C8C2311yescharacteristic
242#546—24no—
243#546—24no—
244#546—24no—
245#546—42no—
246#546—42no—
247#546—42no—
248D42—24no—
249D42—42no—
250D42—42no—
251D42—42no—
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#124C2311yescharacteristic
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121D411yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C4×#41—42no—
292C4×#41—42no—
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×#117—21no—
307C2×#117C2311yescharacteristic
308C22×C4⋊C4—21no—
309C22×C4⋊C4C2311yescharacteristic
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C42—21no—
318C22×C42C2311yescharacteristic
319#496—24no—
320#495—24no—
321#469—24no—
322#469—42no—
323#468—24no—
324#468—24no—
325#468—42no—
326#465—24no—
327#464—42no—
328#463—24no—
329#463—24no—
330#463—24no—
331#463—42no—
332#459—24no—
333#452—24no—
334#452—24no—
335#450—24no—
336#450—42no—
337#449—24no—
338#449—42no—
339#447—24no—
340#447—24no—
341#447—24no—
342#447—24no—
343#447—42no—
344#447—42no—
345#442—24no—
346C4×D8—24no—
347#436—24no—
348#435—24no—
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357#418—42no—
358#417—42no—
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401#398—21no—
402#397—21no—
403#397—21no—
404#397—21no—
405#397—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#390—21no—
436#390—21no—
437#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#390D411yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389—21no—
458#389D411yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388D411yescharacteristic
470#388D411yescharacteristic
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#384C2311yescharacteristic
492#382C2311yescharacteristic
493#381—21no—
494#381—21no—
495#381—21no—
496#380—21no—
497#380—21no—
498#380D411yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508C4×C4⋊C4C2311yescharacteristic
509C4×C22⋊C4C2311yescharacteristic
510C4×C22⋊C4C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
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—
534C25—21no—
535C25—21no—
536C25—21no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
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×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
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—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—82no—
597C22×D4—82no—
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D414yescomplemented
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622AGL(1,ℤ/8)—416no—
623AGL(1,ℤ/8)—416no—
624C2×Q16—22no—
625C2×Q16—41no—
626C2×Q16—41no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16C2×D414yescomplemented
644C2×SD16C2×D414yescomplemented
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—416no—
671C2×D8C2×D414yes—
672C2×D8C2×D414yes—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—41no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16C2×D414yescomplemented
682C22×C8—22no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693#127—22no—
694#127—41no—
695#127—41no—
696#127—41no—
697#124—22no—
698#124—22no—
699#124—22no—
700#124—41no—
701#124—41no—
702#124—41no—
703#124—41no—
704#124—41no—
705#123—44no—
706#123—44no—
707#123—44no—
708#123—82no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—22no—
712C22⋊Q8—22no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—42no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—44no—
736#121—44no—
737#121—41no—
738#121—41no—
739#121—82no—
740#121—82no—
741#121—82no—
742#120—44no—
743#120—44no—
744#120—44no—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—82no—
750C4×Q8—22no—
751C4×Q8—41no—
752C4×Q8—41no—
753C4×Q8—41no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—44no—
773C4×D4—44no—
774#117—22no—
775#117—44no—
776#117—41no—
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—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—41no—
791C2×C4⋊C4—41no—
792C2×C4⋊C4—82no—
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
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—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—44no—
858C2×C22⋊C4—44no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—82no—
861C2×C22⋊C4—82no—
862C2×C22⋊C4—82no—
863C2×C22⋊C4—82no—
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42—41no—
878C2×C42—41no—
879C2×C42—44no—
880C2×C42C2×D411yescharacteristic
881C2×C42C2×D411yescharacteristic
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886#107—22no—
887#107—41no—
888#106—22no—
889#106—41no—
890C4⋊C8—22no—
891C4⋊C8—22no—
892C4⋊C8—41no—
893C4⋊C8—41no—
894#103—22no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—41no—
899#103—41no—
900#103—41no—
901#103—41no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934#97—22no—
935C4×C8—22no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95C2×D411yescharacteristic
951#95C2×D411yescharacteristic
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955#95C2×D411yescharacteristic
956C24—21no—
957C24—21no—
958C24—21no—
959C24—24no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24C22×D411yescharacteristic
991C24C22×D411yescharacteristic
992C24C22×D411yescharacteristic
993#41—28no—
994#41—44no—
995#41—44no—
996#41—44no—
997#41—44no—
998#41—82no—
999#41—82no—
1000#41—82no—
1001C2×Q8—21no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8C22×D412yes—
1013C2×D4—22no—
1014C2×D4—24no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—24no—
1019C2×D4—22no—
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—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—82no—
1090C2×D4—82no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—82no—
1109C2×D4—816no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—816no—
1125C2×D4C22×D412yes—
1126C2×D4C22×D412yes—
1127C2×D4C22×D412yes—
1128C2×D4H(5,𝔽2)12yes—
1129C2×D4H(5,𝔽2)12yes—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—24no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—24no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—22no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—81no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D412yes—
1200C22×C4C22×D411yescharacteristic
1201C22×C4H(5,𝔽2)12yes—
1202C22×C4C2511yescharacteristic
1203Q16—82no—
1204SD16—44no—
1205SD16—44no—
1206SD16—44no—
1207SD16—44no—
1208SD16—82no—
1209SD16—82no—
1210D8—28no—
1211D8—28no—
1212D8—44no—
1213D8—44no—
1214D8—44no—
1215D8—44no—
1216D8—82no—
1217D8—82no—
1218D8—82no—
1219M16—44no—
1220M16—44no—
1221M16—82no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—44no—
1245C2×C8C22×D412yes—
1246C2×C8C22×D412yes—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—81no—
1274C4⋊C4—81no—
1275C4⋊C4—81no—
1276C4⋊C4—81no—
1277C4⋊C4—81no—
1278C4⋊C4—81no—
1279C4⋊C4—81no—
1280C4⋊C4H(5,𝔽2)12yes—
1281C22⋊C4—24no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—21no—
1347C42—21no—
1348C42—21no—
1349C42—21no—
1350C42—41no—
1351C42—41no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—22no—
1361C23—22no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—22no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—22no—
1374C23—22no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—48no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23—162no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23D4212yes—
1445C23#57512yes—
1446C23C23×D411yescharacteristic
1447Q8—22no—
1448Q8—22no—
1449Q8—41no—
1450Q8—41no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—41no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—22no—
1460D4—22no—
1461D4—22no—
1462D4—44no—
1463D4—44no—
1464D4—48no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—84no—
1482D4—84no—
1483D4—82no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—162no—
1494D4—162no—
1495D4—162no—
1496D4—162no—
1497D4—162no—
1498D4—162no—
1499D4#53414yes—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—162no—
1581C2×C4—162no—
1582C2×C4—162no—
1583C2×C4—162no—
1584C2×C4D4212yes—
1585C2×C4#57612yes—
1586C2×C4C23×D411yescharacteristic
1587C2×C4C2×H(5,𝔽2)11yescharacteristic
1588C2×C4C2×H(5,𝔽2)11yescharacteristic
1589C2×C4C2×H(5,𝔽2)11yescharacteristic
1590C2×C4C2×H(5,𝔽2)11yescharacteristic
1591C2×C4#58511yescharacteristic
1592C8—22no—
1593C8—22no—
1594C8—41no—
1595C8—41no—
1596C8—41no—
1597C8—41no—
1598C8—41no—
1599C8—41no—
1600C22—22no—
1601C22—22no—
1602C22—24no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—168no—
1664C22—168no—
1665C22—168no—
1666C22—168no—
1667C22C2×D4211yescharacteristic
1668C22#348411yescharacteristic
1669C22#348811yescharacteristic
1670C22C2×#57511yescharacteristic
1671C22C2×#57611yescharacteristic
1672C22#358511yescharacteristic
1673C22#358511yescharacteristic
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4C2×#53411yescharacteristic
1696C4#349611yescharacteristic
1697C4#353411yescharacteristic
1698C4#353711yescharacteristic
1699C2—42no—
1700C2—42no—
1701C2—44no—
1702C2—81no—
1703C2—82no—
1704C2—82no—
1705C2—161no—
1706C2—161no—
1707C2—161no—
1708C2#3767211yescharacteristic
1709C2#6106611yescharacteristic
1710C2#6109311yescharacteristic
1711C2#6159211yescharacteristic
1712C2#6165311yescharacteristic
1713C2#6197111yescharacteristic
1714C2#6203111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3273C2semidirect
2. C2×#3264C2semidirect
3. #38949C2semidirect
4. #36258C2semidirect
5. #32910C2semidirect
6. #30763C2semidirect
7. #30747C2semidirect
8. #30619C2semidirect
9. #30599C2semidirect
10. #30475C2semidirect
11. #30448C2semidirect
12. #30420C2semidirect
13. #30410C2semidirect
14. #30245C2semidirect
15. #29712C2semidirect
16. #28567C2semidirect
17. #28560C2semidirect
18. #26180C2semidirect
19. #26158C2semidirect
20. #24909C2semidirect
21. #24897C2semidirect
22. #24452C2semidirect
23. #24450C2semidirect
24. #24444C2semidirect
25. #24440C2semidirect
26. #24366C2semidirect
27. #24355C2semidirect
28. #23860C2semidirect
29. #23848C2semidirect
30. #22174C2semidirect
31. #20928C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×C4×#41C22semidirect
43. C2×#496C22semidirect
44. C2×#495C22semidirect
45. C2×#469C22semidirect
46. C2×#469C22semidirect
47. C2×#468C22semidirect
48. C2×#468C22semidirect
49. C2×#468C22semidirect
50. C2×#465C22semidirect
51. C2×#464C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#450C22semidirect
62. C2×#450C22semidirect
66. C2×#447C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
70. C2×C4×D8C22semidirect
71. C2×#436C22semidirect
72. C2×#435C22semidirect
73. C2×#417C22semidirect
74. C2×#418C22semidirect
75. #2856C22semidirect
77. #2850C22semidirect
83. #2548C22semidirect
84. #2538C22semidirect
85. #2447C22semidirect
86. #2445C22semidirect
87. #2435C22semidirect
88. #2431C22semidirect
89. #2426C22semidirect
90. #2426C22semidirect
93. #2420C22semidirect
94. #2420C22semidirect
95. #2417C22semidirect
97. #2416C22semidirect
99. #2414C22semidirect
107. D4×C4⋊C4C22semidirect
108. D4×C22⋊C4C22semidirect
109. D4×C22⋊C4C22semidirect
113. C2×#390C22semidirect
114. #2096C22semidirect
115. #2093C22semidirect
116. #2092C22semidirect
117. #2092C22semidirect
118. #2088C22semidirect
119. #2086C22semidirect
120. #2077C22semidirect
121. #2076C22semidirect
122. #2071C22semidirect
123. #2071C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
132. #2042C22semidirect
133. #2041C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2034C22semidirect
137. #2033C22semidirect
138. #2015C22semidirect
139. #2014C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2001C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1999C22semidirect
154. #1936C22semidirect
155. #1935C22semidirect
156. #1934C22semidirect
157. #1934C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1893C22semidirect
165. #1892C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1878C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1873C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
196. #1805C22semidirect
197. #1804C22semidirect
198. #1797C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. #1728C22semidirect
218. C2×AGL(1,ℤ/8)D4semidirect
601. C22×D4C2×D4semidirect
643. C2×SD16C2×D4semidirect
644. C2×SD16C2×D4semidirect
681. C2×M16C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#32642
#389492
#362582
#329102
#307632
#307472
#306192
#305992
#304752
#304482
#304202
#304102
#302452
#297122
#285672
#285602
#261802
#261582
#249092
#248972
#244522
#244502
#244442
#244402
#243662
#243552
#238602
#238482
#221742
#209282