Finite Group Databasebeta

← #6671734

Subgroups — #6671734

Order 512.

2685 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3114C211yesmaximal, characteristic, complemented
3#39881C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#32908C211yesmaximal, characteristic, complemented
6#31042C211yesmaximal, characteristic, complemented
7#31016C211yesmaximal, characteristic, complemented
8#30923C211yesmaximal, characteristic, complemented
9#30911C211yesmaximal, characteristic, complemented
10#30729C211yesmaximal, characteristic, complemented
11#30705C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#30454C211yesmaximal, characteristic, complemented
14#29814C211yesmaximal, characteristic, complemented
15#29662C211yesmaximal, characteristic, complemented
16#28480C211yesmaximal, characteristic, complemented
17#28154C211yesmaximal, characteristic, complemented
18#27238C211yesmaximal, characteristic, complemented
19#27229C211yesmaximal, characteristic, complemented
20#25763C211yesmaximal, characteristic, complemented
21#25753C211yesmaximal, characteristic, complemented
22#24740C211yesmaximal, characteristic, complemented
23#24642C211yesmaximal, characteristic, complemented
24#24367C211yesmaximal, characteristic, complemented
25#24355C211yesmaximal, characteristic, complemented
26#24257C211yesmaximal, characteristic, complemented
27#24252C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22774C211yesmaximal, characteristic, complemented
31#22143C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#546C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic, complemented
38C2×#529C2211yescharacteristic, complemented
39C22×#121—21no—
40C22×C4×D4C2211yescharacteristic, complemented
41#3264—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45#3114—28no—
46C2×#483C2211yescharacteristic, complemented
47C2×#480C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic, complemented
49C2×#478C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#461C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#442C2211yescharacteristic
73C2×#442C2211yescharacteristic, complemented
74C2×#440C2211yescharacteristic, complemented
75C2×#440C2211yescharacteristic, complemented
76C2×#435C2211yescharacteristic, complemented
77C2×#432C2211yescharacteristic, complemented
78#2856C2211yescharacteristic, complemented
79#2850C2211yescharacteristic, complemented
80#2847—21no—
81#2718—21no—
82#2706—21no—
83#2685—21no—
84#2678—21no—
85#2635—21no—
86#2545C2211yescharacteristic, complemented
87#2542C2211yescharacteristic, complemented
88#2541C2211yescharacteristic, complemented
89#2540C2211yescharacteristic, complemented
90#2537C2211yescharacteristic
91#2536C2211yescharacteristic, complemented
92#2500—21no—
93#2490C2211yescharacteristic, complemented
94#2489C2211yescharacteristic, complemented
95#2482—21no—
96#2435C2211yescharacteristic, complemented
97#2432C2211yescharacteristic, complemented
98#2428C2211yescharacteristic
99#2428C2211yescharacteristic, complemented
100#2424—21no—
101#2424—21no—
102#2416—21no—
103#2416C2211yescharacteristic
104#2416C2211yescharacteristic, complemented
105#2410—21no—
106#2410—21no—
107#2408—21no—
108#2408C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2357C2211yescharacteristic, complemented
111D4×C4⋊C4C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic
113D4×C22⋊C4C2211yescharacteristic, complemented
114#2321—21no—
115C4×#121C2211yescharacteristic
116#2076C2211yescharacteristic, complemented
117#2075C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2025C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1982C2211yescharacteristic, complemented
157#1982C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1955C2211yescharacteristic, complemented
164#1954C2211yescharacteristic, complemented
165#1940C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1923C2211yescharacteristic, complemented
172#1920C2211yescharacteristic, complemented
173#1919C2211yescharacteristic, complemented
174#1895C2211yescharacteristic, complemented
175#1894C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1836C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1803C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1797C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4—21no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8—24no—
226C22×D8—42no—
227C22×D8—42no—
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238#546—24no—
239#546—42no—
240D42—24no—
241D42—42no—
242D42—42no—
243D42—42no—
244D42—42no—
245D42—42no—
246C2×C4⋊Q8C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250#529—24no—
251#529—42no—
252C2×#126—21no—
253C2×#125C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#123—21no—
258C2×#123—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121—21no—
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×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—48no—
278C2×#121D411yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×C4×Q8C2311yescharacteristic
297C2×C4×D4—21no—
298C2×C4×D4—24no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—42no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×#117—21no—
313C22×C4⋊C4—21no—
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318C22×C22⋊C4—21no—
319C22×C42C2311yescharacteristic
320#496—24no—
321#496—42no—
322#492—42no—
323#483—24no—
324#480—24no—
325#478—24no—
326#478—24no—
327#469—24no—
328#465—24no—
329#463—24no—
330#463—24no—
331#463—24no—
332#463—42no—
333#463—42no—
334#461—42no—
335#460—42no—
336#459—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#450—42no—
341#450—42no—
342#449—24no—
343#449—42no—
344#447—24no—
345#447—24no—
346#447—24no—
347#447—42no—
348#447—42no—
349#442—24no—
350#442D418yescomplemented
351#440—24no—
352#440—24no—
353#435—24no—
354#432—24no—
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#400—21no—
412#399—21no—
413#399—21no—
414#399—21no—
415#398—21no—
416#397—21no—
417#397—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#396—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390D411yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389D411yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
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#388—21no—
472#388—21no—
473#388D411yescharacteristic
474#388D411yescharacteristic
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#386—21no—
486#386D411yescharacteristic
487#386D411yescharacteristic
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#384—21no—
494#384C2311yescharacteristic
495#382—21no—
496#382C2311yescharacteristic
497#381—21no—
498#380—21no—
499#380—21no—
500#380D411yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C22⋊C4—21no—
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8C2411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
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—44no—
591C22×D4—44no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—82no—
597C22×D4—82no—
598C22×D4—82no—
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
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×C4—44no—
618C23×C4—44no—
619C23×C4—82no—
620C23×C4C2×D411yescharacteristic
621C23×C4C2×D411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625AGL(1,ℤ/8)—416no—
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—22no—
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×SD16—41no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
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—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—416no—
674C2×D8C2×D414yes—
675C2×M16—22no—
676C2×M16—41no—
677C2×M16—41no—
678C22×C8—22no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C4⋊Q8—41no—
690C4⋊Q8—41no—
691#127—22no—
692#127—22no—
693#127—22no—
694#127—22no—
695#127—41no—
696#127—41no—
697#126—44no—
698#125—22no—
699#125—41no—
700#124—22no—
701#124—22no—
702#124—22no—
703#124—41no—
704#124—41no—
705#124—41no—
706#123—44no—
707#123—44no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
718#121—24no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—44no—
726#121—44no—
727#121—44no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—44no—
743#121—44no—
744#121—44no—
745#121—44no—
746#121—41no—
747#121—41no—
748#121—82no—
749#121—82no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757#120—44no—
758C4×Q8—22no—
759C4×Q8—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—44no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—44no—
780C4×D4—44no—
781C4×D4C2×D414yes—
782C4×D4C2×D414yescomplemented
783#117—44no—
784C2×C4⋊C4—22no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—41no—
801C2×C4⋊C4—44no—
802C2×C4⋊C4C2×D411yescharacteristic
803C2×C4⋊C4C2×D411yescharacteristic
804C2×C4⋊C4C2×D411yescharacteristic
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
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—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C42—22no—
877C2×C42—22no—
878C2×C42—21no—
879C2×C42—21no—
880C2×C42—21no—
881C2×C42C2×D411yescharacteristic
882C2×C42C2×D411yescharacteristic
883C2×C42C2411yescharacteristic
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887#107—22no—
888#107—22no—
889#106—22no—
890#106C2×D414yescomplemented
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8—22no—
894C4⋊C8—22no—
895C4⋊C8—41no—
896C4⋊C8—41no—
897#103—22no—
898#103—22no—
899#103—22no—
900#103—41no—
901#103—41no—
902#103—41no—
903#103—41no—
904#103—41no—
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—41no—
915#102—41no—
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—
926#102—41no—
927#102C2×D414yes—
928#102C2×D414yescomplemented
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—41no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8—41no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939#97—22no—
940#97—41no—
941#97C2×D414yescomplemented
942C4×C8—41no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963C24—21no—
964C24—24no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
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×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×D4—24no—
1017C2×D4—22no—
1018C2×D4—22no—
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—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—42no—
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—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—816no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—816no—
1133C2×D4—816no—
1134C2×D4AGL(1,ℤ/8)14yescomplemented
1135C2×D4C22×D412yes—
1136C2×D4C22×D412yes—
1137C2×D4H(5,𝔽2)12yes—
1138C2×D4H(5,𝔽2)12yes—
1139C2×D4H(5,𝔽2)12yes—
1140C22×C4—22no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
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—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—81no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4—81no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—816no—
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C2511yescharacteristic
1214SD16—44no—
1215SD16—44no—
1216SD16—44no—
1217SD16—44no—
1218SD16—82no—
1219SD16—82no—
1220SD16—82no—
1221SD16—82no—
1222D8—28no—
1223D8—44no—
1224D8—44no—
1225D8—44no—
1226D8—44no—
1227D8—44no—
1228D8—82no—
1229D8—82no—
1230M16—44no—
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—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—44no—
1254C2×C8C22×D412yes—
1255C2×C8C22×D412yes—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—81no—
1285C4⋊C4—81no—
1286C4⋊C4—81no—
1287C4⋊C4—81no—
1288C4⋊C4—81no—
1289C4⋊C4—81no—
1290C4⋊C4C22×D412yes—
1291C4⋊C4C22×D412yes—
1292C22⋊C4—22no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
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—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
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—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C42—22no—
1350C42—22no—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—42no—
1358C42—81no—
1359C42—81no—
1360C42C22×D412yes—
1361C42H(5,𝔽2)12yes—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—22no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—21no—
1382C23—22no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—48no—
1387C23—48no—
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—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—84no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23C2×AGL(1,ℤ/8)12yes—
1452C23C2×AGL(1,ℤ/8)12yes—
1453C23C23×D411yescharacteristic
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462D4—22no—
1463D4—22no—
1464D4—22no—
1465D4—22no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—44no—
1470D4—44no—
1471D4—48no—
1472D4—44no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—162no—
1504D4—162no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508D4#53514yes—
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—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
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—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—48no—
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—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4D4212yes—
1593C2×C4D4212yes—
1594C2×C4C2×AGL(1,ℤ/8)12yes—
1595C2×C4C23×D411yescharacteristic
1596C2×C4C2×H(5,𝔽2)11yescharacteristic
1597C2×C4C2×H(5,𝔽2)11yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4#58511yescharacteristic
1601C8—22no—
1602C8—22no—
1603C8—41no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C22—24no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—41no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—816no—
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—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—168no—
1674C22—168no—
1675C22—168no—
1676C22C2×D4211yescharacteristic
1677C22#348411yescharacteristic
1678C22#348811yescharacteristic
1679C22C22×AGL(1,ℤ/8)11yescharacteristic
1680C22#358411yescharacteristic
1681C22#358511yescharacteristic
1682C22#358511yescharacteristic
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—81no—
1697C4—81no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4C2×#53511yescharacteristic
1705C4#348811yescharacteristic
1706C4#353711yescharacteristic
1707C4#354211yescharacteristic
1708C2—42no—
1709C2—42no—
1710C2—44no—
1711C2—81no—
1712C2—82no—
1713C2—82no—
1714C2—161no—
1715C2—161no—
1716C2—161no—
1717C2#3765011yescharacteristic
1718C2D4×AGL(1,ℤ/8)11yescharacteristic
1719C2#6107411yescharacteristic
1720C2#6157111yescharacteristic
1721C2#6167811yescharacteristic
1722C2#6198911yescharacteristic
1723C2#6207511yescharacteristic
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×#3264C2semidirect
2. C2×#3114C2semidirect
3. #39881C2semidirect
4. D4×#121C2semidirect
5. #32908C2semidirect
6. #31042C2semidirect
7. #31016C2semidirect
8. #30923C2semidirect
9. #30911C2semidirect
10. #30729C2semidirect
11. #30705C2semidirect
12. #30468C2semidirect
13. #30454C2semidirect
14. #29814C2semidirect
15. #29662C2semidirect
16. #28480C2semidirect
17. #28154C2semidirect
18. #27238C2semidirect
19. #27229C2semidirect
20. #25763C2semidirect
21. #25753C2semidirect
22. #24740C2semidirect
23. #24642C2semidirect
24. #24367C2semidirect
25. #24355C2semidirect
26. #24257C2semidirect
27. #24252C2semidirect
28. #23860C2semidirect
29. #23848C2semidirect
30. #22774C2semidirect
31. #22143C2semidirect
34. C2×#546C22semidirect
37. C2×D42C22semidirect
38. C2×#529C22semidirect
40. C22×C4×D4C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#492C22semidirect
46. C2×#483C22semidirect
47. C2×#480C22semidirect
48. C2×#478C22semidirect
49. C2×#478C22semidirect
50. C2×#469C22semidirect
51. C2×#465C22semidirect
52. C2×#460C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#461C22semidirect
59. C2×#459C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
73. C2×#442C22semidirect
74. C2×#440C22semidirect
75. C2×#440C22semidirect
76. C2×#435C22semidirect
77. C2×#432C22semidirect
78. #2856C22semidirect
79. #2850C22semidirect
86. #2545C22semidirect
87. #2542C22semidirect
88. #2541C22semidirect
89. #2540C22semidirect
91. #2536C22semidirect
93. #2490C22semidirect
94. #2489C22semidirect
96. #2435C22semidirect
97. #2432C22semidirect
99. #2428C22semidirect
104. #2416C22semidirect
108. #2408C22semidirect
109. #2407C22semidirect
110. #2357C22semidirect
111. D4×C4⋊C4C22semidirect
113. D4×C22⋊C4C22semidirect
116. #2076C22semidirect
117. #2075C22semidirect
118. #2068C22semidirect
119. #2067C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2025C22semidirect
133. #2025C22semidirect
134. #2014C22semidirect
135. #2013C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1982C22semidirect
157. #1982C22semidirect
158. #1973C22semidirect
159. #1970C22semidirect
160. #1961C22semidirect
161. #1959C22semidirect
162. #1955C22semidirect
163. #1955C22semidirect
164. #1954C22semidirect
165. #1940C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
170. #1924C22semidirect
171. #1923C22semidirect
172. #1920C22semidirect
173. #1919C22semidirect
174. #1895C22semidirect
175. #1894C22semidirect
176. #1893C22semidirect
177. #1892C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1836C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1803C22semidirect
196. #1802C22semidirect
197. #1797C22semidirect
198. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1771C22semidirect
203. #1762C22semidirect
204. C4×#102C22semidirect
350. #442D4semidirect
782. C4×D4C2×D4semidirect
890. #106C2×D4semidirect
928. #102C2×D4semidirect
941. #97C2×D4semidirect
1134. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#31142
#398812
D4×#1212
#329082
#310422
#310162
#309232
#309112
#307292
#307052
#304682
#304542
#298142
#296622
#284802
#281542
#272382
#272292
#257632
#257532
#247402
#246422
#243672
#243552
#242572
#242522
#238602
#238482
#227742
#221432