Finite Group Databasebeta

← #6682732

Subgroups — #6682732

Order 512.

2803 conjugacy classes of subgroups.

The subgroup lattice has 1775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#39957C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#32902C211yesmaximal, characteristic, complemented
6#30752C211yesmaximal, characteristic, complemented
7#30733C211yesmaximal, characteristic, complemented
8#30609C211yesmaximal, characteristic, complemented
9#30592C211yesmaximal, characteristic, complemented
10#30462C211yesmaximal, characteristic, complemented
11#30444C211yesmaximal, characteristic, complemented
12#30412C211yesmaximal, characteristic, complemented
13#30401C211yesmaximal, characteristic, complemented
14#30247C211yesmaximal, characteristic, complemented
15#29716C211yesmaximal, characteristic, complemented
16#28567C211yesmaximal, characteristic, complemented
17#28557C211yesmaximal, characteristic, complemented
18#26174C211yesmaximal, characteristic, complemented
19#26172C211yesmaximal, characteristic, complemented
20#24913C211yesmaximal, characteristic, complemented
21#24901C211yesmaximal, characteristic, complemented
22#24451C211yesmaximal, characteristic, complemented
23#24444C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24366C211yesmaximal, characteristic, complemented
27#24354C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22174C211yesmaximal, characteristic, complemented
31#20925C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic
35C2×#550C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic, complemented
40C22×#121—21no—
41C22×C4×D4C2211yescharacteristic, complemented
42#3274—28no—
43#3264—28no—
44C2×#496C2211yescharacteristic, complemented
45C2×#493C2211yescharacteristic, complemented
46C2×#469C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic
54C2×#459C2211yescharacteristic
55C2×#459C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic
71C2×C4×SD16C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76#2856C2211yescharacteristic, complemented
77#2856C2211yescharacteristic, complemented
78#2847—21no—
79#2673—21no—
80#2671—21no—
81#2669—21no—
82#2668—21no—
83#2661—21no—
84#2602—21no—
85#2541C2211yescharacteristic, complemented
86#2539—21no—
87#2537C2211yescharacteristic
88#2448C2211yescharacteristic, complemented
89#2445C2211yescharacteristic, complemented
90#2433C2211yescharacteristic, complemented
91#2431C2211yescharacteristic, complemented
92#2428C2211yescharacteristic
93#2428C2211yescharacteristic, complemented
94#2424—21no—
95#2424—21no—
96#2423C2211yescharacteristic, complemented
97#2422C2211yescharacteristic, complemented
98#2416—21no—
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic, complemented
101#2414C2211yescharacteristic, complemented
102#2414C2211yescharacteristic, complemented
103#2410—21no—
104#2410—21no—
105#2408—21no—
106#2408C2211yescharacteristic, complemented
107#2407C2211yescharacteristic, complemented
108D4×C4⋊C4C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic
110D4×C22⋊C4C2211yescharacteristic, complemented
111#2321—21no—
112C4×#121C2211yescharacteristic
113#2297C2211yescharacteristic, complemented
114#2094C2211yescharacteristic, complemented
115#2094C2211yescharacteristic, complemented
116#2094C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2088C2211yescharacteristic, complemented
119#2088C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2077C2211yescharacteristic, complemented
122#2072C2211yescharacteristic, complemented
123#2071C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, 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#1893C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4—21no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)D418yescomplemented
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×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C23×C8C2311yescharacteristic
244#550—24no—
245#550—42no—
246#546—24no—
247#546—42no—
248D42—24no—
249D42—24no—
250D42—42no—
251D42—42no—
252D42—42no—
253D42—42no—
254C2×#127—21no—
255C2×#127C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#123—21no—
262C2×#123—21no—
263C2×#123—21no—
264C2×C22⋊Q8C2311yescharacteristic
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—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—48no—
283C2×#121D411yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—42no—
310C2×C4×D4—42no—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C22×C4⋊C4—21no—
323C22×C4⋊C4C2311yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327C22×C22⋊C4—21no—
328C22×C42C2311yescharacteristic
329#496—24no—
330#493—24no—
331#469—24no—
332#469—24no—
333#469—24no—
334#469—42no—
335#469—42no—
336#465—24no—
337#463—24no—
338#460—24no—
339#459—24no—
340#459—24no—
341#459—42no—
342#459—42no—
343#450—24no—
344#449—24no—
345#449—24no—
346#449—24no—
347#449—42no—
348#447—24no—
349#447—24no—
350#447—24no—
351#447—24no—
352#447—42no—
353#447—42no—
354#447—42no—
355#442—24no—
356C4×SD16—24no—
357#436—24no—
358#435—24no—
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367#418—42no—
368#417—42no—
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×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#399—21no—
412#399—21no—
413#398—21no—
414#397—21no—
415#397—21no—
416#396—21no—
417#396—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#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—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#390C2311yescharacteristic
461#390C2311yescharacteristic
462#389D411yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388D411yescharacteristic
473#388D411yescharacteristic
474#387—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#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386D411yescharacteristic
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#384C2311yescharacteristic
496#384C2311yescharacteristic
497#380—21no—
498#380—21no—
499#380D411yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505#379—21no—
506#379—21no—
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
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—22no—
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×#41—41no—
549C2×#41C2×D414yescomplemented
550C22×Q8C2411yescharacteristic
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
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—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4—82no—
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D414yes—
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—44no—
632C23×C4—44no—
633C23×C4—82no—
634C23×C4C2×D411yescharacteristic
635C23×C4C2×D411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639AGL(1,ℤ/8)—416no—
640AGL(1,ℤ/8)—416no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16C2×D414yes—
652C2×SD16C2×D414yescomplemented
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—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—416no—
688C2×D8C2×D414yes—
689C2×D8C2×D414yescomplemented
690C2×M16—22no—
691C2×M16—22no—
692C2×M16—41no—
693C2×M16—41no—
694C2×M16—41no—
695C2×M16—41no—
696C2×M16—41no—
697C2×M16—41no—
698C2×M16C2×D414yescomplemented
699C22×C8—22no—
700C22×C8—41no—
701C22×C8—41no—
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710#127—22no—
711#127—22no—
712#127—22no—
713#127—41no—
714#127—41no—
715#127—41no—
716#127—41no—
717#127—41no—
718#127—41no—
719#127—41no—
720#127—44no—
721#124—22no—
722#124—41no—
723#123—44no—
724#123—82no—
725#123—82no—
726C22⋊Q8—22no—
727C22⋊Q8—41no—
728#121—24no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—22no—
734#121—22no—
735#121—22no—
736#121—22no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—44no—
743#121—44no—
744#121—44no—
745#121—44no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—41no—
750#121—41no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—44no—
758#121—44no—
759#121—44no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—82no—
765#121—82no—
766#121—82no—
767#121—82no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—44no—
775#120—44no—
776#120—82no—
777#120—82no—
778C4×Q8—22no—
779C4×Q8—41no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—44no—
801C4×D4—44no—
802C4×D4—44no—
803#117—41no—
804#117—41no—
805C2×C4⋊C4—22no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—41no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4C2×D411yescharacteristic
820C2×C4⋊C4C2×D411yescharacteristic
821C2×C4⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
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—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—41no—
895C2×C42—41no—
896C2×C42C2×D411yescharacteristic
897C2×C42C2×D411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902#106—22no—
903#106—22no—
904#106—41no—
905#106—41no—
906C4⋊C8—22no—
907C4⋊C8—22no—
908C4⋊C8—41no—
909C4⋊C8—41no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—41no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950#97—22no—
951C4×C8—22no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95C2×D411yescharacteristic
965#95C2×D411yescharacteristic
966#95C2×D411yescharacteristic
967#95C2×D411yescharacteristic
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970C24—21no—
971C24—21no—
972C24—21no—
973C24—24no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8C22×D412yes—
1022C2×D4—28no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—24no—
1028C2×D4—24no—
1029C2×D4—22no—
1030C2×D4—22no—
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—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
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—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—81no—
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—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—816no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—816no—
1167C2×D4—816no—
1168C2×D4C22×D412yes—
1169C2×D4C22×D412yes—
1170C2×D4C22×D412yes—
1171C2×D4H(5,𝔽2)12yes—
1172C2×D4H(5,𝔽2)12yes—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—24no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—24no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—816no—
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D412yes—
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4H(5,𝔽2)12yes—
1248C22×C4C2511yescharacteristic
1249SD16—28no—
1250SD16—44no—
1251SD16—44no—
1252SD16—82no—
1253D8—28no—
1254D8—44no—
1255D8—44no—
1256D8—44no—
1257D8—44no—
1258D8—44no—
1259D8—44no—
1260D8—82no—
1261D8—82no—
1262D8—82no—
1263D8—82no—
1264D8—82no—
1265M16—44no—
1266M16—44no—
1267M16—82no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—44no—
1291C2×C8C22×D412yes—
1292C2×C8C22×D412yes—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4H(5,𝔽2)12yes—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4AGL(1,ℤ/8)14yescomplemented
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—41no—
1390C42—41no—
1391C42—42no—
1392C42—81no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—48no—
1418C23—48no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23D4212yes—
1490C23C2×AGL(1,ℤ/8)12yes—
1491C23C23×D411yescharacteristic
1492Q8—22no—
1493Q8—22no—
1494Q8—41no—
1495Q8—41no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—22no—
1501D4—22no—
1502D4—22no—
1503D4—48no—
1504D4—44no—
1505D4—44no—
1506D4—44no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4#53414yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—82no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—162no—
1634C2×C4D4212yes—
1635C2×C4C2×AGL(1,ℤ/8)12yes—
1636C2×C4C2×AGL(1,ℤ/8)12yes—
1637C2×C4#57612yes—
1638C2×C4C23×D411yescharacteristic
1639C2×C4C2×H(5,𝔽2)11yescharacteristic
1640C2×C4C2×H(5,𝔽2)11yescharacteristic
1641C2×C4C2×H(5,𝔽2)11yescharacteristic
1642C2×C4C2×H(5,𝔽2)11yescharacteristic
1643C2×C4#58511yescharacteristic
1644C8—22no—
1645C8—22no—
1646C8—41no—
1647C8—41no—
1648C8—41no—
1649C8—41no—
1650C8—41no—
1651C8—41no—
1652C22—22no—
1653C22—22no—
1654C22—24no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—816no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—168no—
1724C22—168no—
1725C22—168no—
1726C22C2×D4211yescharacteristic
1727C22#348411yescharacteristic
1728C22#348811yescharacteristic
1729C22C22×AGL(1,ℤ/8)11yescharacteristic
1730C22C2×#57611yescharacteristic
1731C22#358511yescharacteristic
1732C22#358511yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4C2×#53411yescharacteristic
1754C4#349611yescharacteristic
1755C4#353411yescharacteristic
1756C4#353711yescharacteristic
1757C2—42no—
1758C2—42no—
1759C2—44no—
1760C2—81no—
1761C2—82no—
1762C2—82no—
1763C2—161no—
1764C2—161no—
1765C2—161no—
1766C2—161no—
1767C2#3767211yescharacteristic
1768C2D4×AGL(1,ℤ/8)11yescharacteristic
1769C2#6109311yescharacteristic
1770C2#6159111yescharacteristic
1771C2#6165311yescharacteristic
1772C2#6196111yescharacteristic
1773C2#6204011yescharacteristic
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×#3274C2semidirect
2. C2×#3264C2semidirect
3. #39957C2semidirect
4. D4×#121C2semidirect
5. #32902C2semidirect
6. #30752C2semidirect
7. #30733C2semidirect
8. #30609C2semidirect
9. #30592C2semidirect
10. #30462C2semidirect
11. #30444C2semidirect
12. #30412C2semidirect
13. #30401C2semidirect
14. #30247C2semidirect
15. #29716C2semidirect
16. #28567C2semidirect
17. #28557C2semidirect
18. #26174C2semidirect
19. #26172C2semidirect
20. #24913C2semidirect
21. #24901C2semidirect
22. #24451C2semidirect
23. #24444C2semidirect
24. #24440C2semidirect
25. #24440C2semidirect
26. #24366C2semidirect
27. #24354C2semidirect
28. #23860C2semidirect
29. #23848C2semidirect
30. #22174C2semidirect
31. #20925C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#550C22semidirect
36. C2×#546C22semidirect
39. C2×D42C22semidirect
41. C22×C4×D4C22semidirect
44. C2×#496C22semidirect
45. C2×#493C22semidirect
46. C2×#469C22semidirect
47. C2×#469C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#465C22semidirect
52. C2×#460C22semidirect
56. C2×#459C22semidirect
57. C2×#459C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
71. C2×C4×SD16C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#417C22semidirect
75. C2×#418C22semidirect
76. #2856C22semidirect
77. #2856C22semidirect
85. #2541C22semidirect
88. #2448C22semidirect
89. #2445C22semidirect
90. #2433C22semidirect
91. #2431C22semidirect
93. #2428C22semidirect
96. #2423C22semidirect
97. #2422C22semidirect
100. #2416C22semidirect
101. #2414C22semidirect
102. #2414C22semidirect
106. #2408C22semidirect
107. #2407C22semidirect
108. D4×C4⋊C4C22semidirect
110. D4×C22⋊C4C22semidirect
113. #2297C22semidirect
114. #2094C22semidirect
115. #2094C22semidirect
116. #2094C22semidirect
117. #2094C22semidirect
118. #2088C22semidirect
119. #2088C22semidirect
120. #2077C22semidirect
121. #2077C22semidirect
122. #2072C22semidirect
123. #2071C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2014C22semidirect
139. #2012C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1936C22semidirect
155. #1936C22semidirect
156. #1934C22semidirect
157. #1934C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1880C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1865C22semidirect
191. #1864C22semidirect
192. #1864C22semidirect
193. #1864C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
196. #1802C22semidirect
197. #1802C22semidirect
198. #1797C22semidirect
199. #1788C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. #1728C22semidirect
220. C2×AGL(1,ℤ/8)D4semidirect
549. C2×#41C2×D4semidirect
652. C2×SD16C2×D4semidirect
689. C2×D8C2×D4semidirect
698. C2×M16C2×D4semidirect
1380. C22⋊C4AGL(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×#32742
C2×#32642
#399572
D4×#1212
#329022
#307522
#307332
#306092
#305922
#304622
#304442
#304122
#304012
#302472
#297162
#285672
#285572
#261742
#261722
#249132
#249012
#244512
#244442
#244402
#243662
#243542
#238602
#238482
#221742
#209252