Finite Group Databasebeta

← #6994382

Subgroups — #6994382

Order 512.

2661 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3194C211yesmaximal, characteristic, complemented
3#58997C211yesmaximal, characteristic, complemented
4#39860C211yesmaximal, characteristic, complemented
5#31027C211yesmaximal, characteristic, complemented
6#31004C211yesmaximal, characteristic, complemented
7#30855C211yesmaximal, characteristic, complemented
8#30612C211yesmaximal, characteristic, complemented
9#30557C211yesmaximal, characteristic, complemented
10#30516C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30416C211yesmaximal, characteristic, complemented
13#28365C211yesmaximal, characteristic, complemented
14#26987C211yesmaximal, characteristic, complemented
15#26942C211yesmaximal, characteristic, complemented
16#26570C211yesmaximal, characteristic, complemented
17#25419C211yesmaximal, characteristic, complemented
18#25396C211yesmaximal, characteristic, complemented
19#25243C211yesmaximal, characteristic, complemented
20#25216C211yesmaximal, characteristic, complemented
21#24441C211yesmaximal, characteristic, complemented
22#24385C211yesmaximal, characteristic, complemented
23#24385C211yesmaximal, characteristic, complemented
24#24372C211yesmaximal, characteristic, complemented
25#24269C211yesmaximal, characteristic, complemented
26#24236C211yesmaximal, characteristic, complemented
27#24044C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#22878C211yesmaximal, characteristic, complemented
31#22850C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic, complemented
35C2×D42—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3265—28no—
42#3194—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic, complemented
46C2×#483C2211yescharacteristic, complemented
47C2×#480C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×C4×D8C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C2×#407C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78#2848C2211yescharacteristic, complemented
79#2717—21no—
80#2708—21no—
81#2684—21no—
82#2675—21no—
83#2669—21no—
84#2668—21no—
85#2638—21no—
86#2600—21no—
87#2564—21no—
88#2541C2211yescharacteristic
89#2537C2211yescharacteristic, complemented
90#2535C2211yescharacteristic, complemented
91#2499C2211yescharacteristic, complemented
92#2485C2211yescharacteristic, complemented
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2428C2211yescharacteristic
96#2428C2211yescharacteristic
97#2427C2211yescharacteristic, complemented
98#2427C2211yescharacteristic, complemented
99#2424—21no—
100#2424—21no—
101#2423C2211yescharacteristic, complemented
102#2421C2211yescharacteristic, complemented
103#2416C2211yescharacteristic
104#2416C2211yescharacteristic
105#2410—21no—
106#2410—21no—
107#2409C2211yescharacteristic, complemented
108#2409C2211yescharacteristic, complemented
109#2408C2211yescharacteristic
110#2403—21no—
111#2361C2211yescharacteristic
112#2361C2211yescharacteristic
113#2339C2211yescharacteristic, complemented
114#2325—21no—
115C4×#120C2211yescharacteristic
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2087C2211yescharacteristic, complemented
119#2083C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1961C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1954C2211yescharacteristic, complemented
162#1949C2211yescharacteristic, complemented
163#1943C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1928C2211yescharacteristic, complemented
167#1928C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1852C2211yescharacteristic, complemented
191#1852C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1851C2211yescharacteristic, complemented
194#1808C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C22×SD16—24no—
219C22×SD16—42no—
220C22×SD16—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238#548—24no—
239#548—42no—
240D42—24no—
241D42—42no—
242D42—42no—
243D42—48no—
244D42—42no—
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#124—21no—
250C2×#124C2311yescharacteristic
251#525—24no—
252#525—42no—
253C2×#123—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—24no—
273C2×#121—42no—
274C2×#121—42no—
275C2×#121—42no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120D411yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×#117C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318#496—24no—
319#483—24no—
320#482—24no—
321#482—24no—
322#480—24no—
323#469—24no—
324#469—24no—
325#468—24no—
326#468—24no—
327#468—24no—
328#468—42no—
329#468—42no—
330#468—42no—
331#466—24no—
332#463—24no—
333#460—24no—
334#459—42no—
335#459—42no—
336#450—24no—
337#450—24no—
338#450—42no—
339#449—24no—
340#449D418yescomplemented
341#448—24no—
342#448—42no—
343#447—24no—
344#447—24no—
345#440—24no—
346C4×D8—42no—
347#435—24no—
348#435—42no—
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360#418—42no—
361#417—42no—
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394#407—24no—
395#407—42no—
396C2×C22⋊C8C2311yescharacteristic
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×C4×C8C2311yescharacteristic
410#400—21no—
411#399—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#396—21no—
421#396—21no—
422#395—21no—
423#395—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#393—21no—
435#393—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#390—21no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#387—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386D411yescharacteristic
484#386D411yescharacteristic
485#386D411yescharacteristic
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385D411yescharacteristic
494#385D411yescharacteristic
495#385D411yescharacteristic
496#384C2311yescharacteristic
497#382C2311yescharacteristic
498#381—21no—
499#380—21no—
500#380—21no—
501#380—21no—
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509#379—21no—
510#379D411yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515C2×#95—21no—
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—
537C25C2×D411yescharacteristic
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41C2×D414yescomplemented
544C22×Q8—21no—
545C22×Q8—22no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
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—22no—
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—22no—
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—41no—
593C22×D4—41no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4—82no—
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—21no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2×D411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635AGL(1,ℤ/8)—416no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—416no—
660C2×SD16C2×D414yescomplemented
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8C2×D414yescomplemented
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—22no—
676C2×M16—22no—
677C2×M16—22no—
678C2×M16—41no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16—41no—
682C2×M16—41no—
683C2×M16—41no—
684C2×M16—41no—
685C22×C8—22no—
686C22×C8—22no—
687C22×C8—41no—
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696#127—22no—
697#127—22no—
698#127—41no—
699#127—41no—
700#127—41no—
701#127—41no—
702#127—44no—
703#124—22no—
704#124—41no—
705#124—44no—
706#123—44no—
707C22⋊Q8—22no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—44no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
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—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—44no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—44no—
750#121—44no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121C2×D414yes—
756#120—24no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—44no—
764#120—44no—
765#120—82no—
766#120—82no—
767C4×Q8—22no—
768C4×Q8—41no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—44no—
784C4×D4—44no—
785C4×D4—44no—
786C4×D4—44no—
787C4×D4—44no—
788#117—22no—
789#117—22no—
790C2×C4⋊C4—22no—
791C2×C4⋊C4—22no—
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—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—41no—
807C2×C4⋊C4—41no—
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
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—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
874C2×C42—21no—
875C2×C42—21no—
876C2×C42C2411yescharacteristic
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879#107—22no—
880#107—22no—
881#107—22no—
882#107—22no—
883#107—41no—
884#107—41no—
885#106—22no—
886#106—22no—
887C4⋊C8—22no—
888C4⋊C8—22no—
889C4⋊C8—41no—
890#103—22no—
891#103—22no—
892#103—22no—
893#103—22no—
894#103—41no—
895#103—41no—
896#103—41no—
897#103C2×D414yescomplemented
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102C2×D414yescomplemented
922C22⋊C8—22no—
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—41no—
929C22⋊C8—41no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8C2×D414yescomplemented
933#97—22no—
934#97—41no—
935C4×C8—41no—
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#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—21no—
965C24—21no—
966C24—22no—
967C24—22no—
968C24—21no—
969C24—21no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—41no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—44no—
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—42no—
1016C2×Q8—44no—
1017C2×Q8—81no—
1018C2×Q8—81no—
1019C2×Q8—82no—
1020C2×Q8—82no—
1021C2×Q8—82no—
1022C2×Q8C22×D412yes—
1023C2×D4—24no—
1024C2×D4—22no—
1025C2×D4—24no—
1026C2×D4—22no—
1027C2×D4—24no—
1028C2×D4—22no—
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—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
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—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—44no—
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—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
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—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
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—81no—
1138C2×D4—81no—
1139C2×D4—816no—
1140C2×D4—816no—
1141C2×D4—816no—
1142C2×D4—816no—
1143C2×D4AGL(1,ℤ/8)14yescomplemented
1144C2×D4C22×D412yes—
1145C2×D4C22×D412yes—
1146C2×D4H(5,𝔽2)12yes—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—22no—
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—21no—
1164C22×C4—21no—
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—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—82no—
1201C22×C4—82no—
1202C22×C4—82no—
1203C22×C4—82no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D412yes—
1227C22×C4C22×D411yescharacteristic
1228C22×C4H(5,𝔽2)12yes—
1229C22×C4C2511yescharacteristic
1230SD16—28no—
1231SD16—44no—
1232SD16—44no—
1233SD16—44no—
1234SD16—44no—
1235SD16—82no—
1236SD16—82no—
1237SD16—82no—
1238D8—44no—
1239D8—44no—
1240D8—44no—
1241D8—82no—
1242M16—44no—
1243M16—82no—
1244M16—82no—
1245M16—82no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—44no—
1268C2×C8C22×D412yes—
1269C2×C8C22×D412yes—
1270C2×C8H(5,𝔽2)12yes—
1271C4⋊C4—22no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4—81no—
1304C4⋊C4C22×D412yes—
1305C4⋊C4H(5,𝔽2)12yes—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
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—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
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—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—42no—
1364C42—42no—
1365C42—42no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—44no—
1395C23—44no—
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—41no—
1426C23—41no—
1427C23—41no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—82no—
1438C23—82no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23D4212yes—
1455C23C2×AGL(1,ℤ/8)12yes—
1456C23C2×AGL(1,ℤ/8)12yes—
1457C23C23×D411yescharacteristic
1458Q8—22no—
1459Q8—22no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—84no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—44no—
1474D4—44no—
1475D4—48no—
1476D4—48no—
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—41no—
1490D4—41no—
1491D4—84no—
1492D4—84no—
1493D4—82no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512D4—162no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
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—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—82no—
1591C2×C4—82no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—162no—
1600C2×C4—162no—
1601C2×C4D4212yes—
1602C2×C4C2×AGL(1,ℤ/8)12yes—
1603C2×C4C23×D411yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4C2×H(5,𝔽2)11yescharacteristic
1606C2×C4C2×H(5,𝔽2)11yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4#58511yescharacteristic
1609C8—22no—
1610C8—22no—
1611C8—22no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—88no—
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—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—168no—
1682C22—168no—
1683C22—168no—
1684C22C2×D4211yescharacteristic
1685C22#348411yescharacteristic
1686C22#349611yescharacteristic
1687C22C22×AGL(1,ℤ/8)11yescharacteristic
1688C22#358511yescharacteristic
1689C22#358511yescharacteristic
1690C22#358611yescharacteristic
1691C4—22no—
1692C4—22no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4—81no—
1712C4#348411yescharacteristic
1713C4#349611yescharacteristic
1714C4#353411yescharacteristic
1715C4#354311yescharacteristic
1716C2—42no—
1717C2—42no—
1718C2—42no—
1719C2—81no—
1720C2—82no—
1721C2—82no—
1722C2—82no—
1723C2—161no—
1724C2—161no—
1725C2#4299611yescharacteristic
1726C2#6106211yescharacteristic
1727C2D4×AGL(1,ℤ/8)11yescharacteristic
1728C2#6157111yescharacteristic
1729C2#6165411yescharacteristic
1730C2#6228611yescharacteristic
1731C2#6229511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3194C2semidirect
3. #58997C2semidirect
4. #39860C2semidirect
5. #31027C2semidirect
6. #31004C2semidirect
7. #30855C2semidirect
8. #30612C2semidirect
9. #30557C2semidirect
10. #30516C2semidirect
11. #30460C2semidirect
12. #30416C2semidirect
13. #28365C2semidirect
14. #26987C2semidirect
15. #26942C2semidirect
16. #26570C2semidirect
17. #25419C2semidirect
18. #25396C2semidirect
19. #25243C2semidirect
20. #25216C2semidirect
21. #24441C2semidirect
22. #24385C2semidirect
23. #24385C2semidirect
24. #24372C2semidirect
25. #24269C2semidirect
26. #24236C2semidirect
27. #24044C2semidirect
28. #23849C2semidirect
29. #23391C2semidirect
30. #22878C2semidirect
31. #22850C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×SD16C22semidirect
34. C2×#548C22semidirect
38. C2×#525C22semidirect
43. C2×#496C22semidirect
45. C2×#482C22semidirect
46. C2×#483C22semidirect
47. C2×#480C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#468C22semidirect
56. C2×#466C22semidirect
57. C2×#460C22semidirect
58. C2×#463C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#440C22semidirect
71. C2×C4×D8C22semidirect
72. C2×#435C22semidirect
73. C2×#435C22semidirect
74. C2×#417C22semidirect
75. C2×#418C22semidirect
76. C2×#407C22semidirect
77. C2×#407C22semidirect
78. #2848C22semidirect
89. #2537C22semidirect
90. #2535C22semidirect
91. #2499C22semidirect
92. #2485C22semidirect
97. #2427C22semidirect
98. #2427C22semidirect
101. #2423C22semidirect
102. #2421C22semidirect
107. #2409C22semidirect
108. #2409C22semidirect
113. #2339C22semidirect
116. #2093C22semidirect
117. #2092C22semidirect
118. #2087C22semidirect
119. #2083C22semidirect
120. #2077C22semidirect
121. #2073C22semidirect
122. #2067C22semidirect
123. #2066C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2042C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2034C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
142. #2012C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1968C22semidirect
159. #1961C22semidirect
160. #1957C22semidirect
161. #1954C22semidirect
162. #1949C22semidirect
163. #1943C22semidirect
164. #1936C22semidirect
165. #1933C22semidirect
166. #1928C22semidirect
167. #1928C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1893C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1852C22semidirect
191. #1852C22semidirect
192. #1851C22semidirect
193. #1851C22semidirect
194. #1808C22semidirect
195. #1802C22semidirect
196. #1787C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1762C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
340. #449D4semidirect
543. C2×#41C2×D4semidirect
660. C2×SD16C2×D4semidirect
672. C2×D8C2×D4semidirect
897. #103C2×D4semidirect
921. #102C2×D4semidirect
932. C22⋊C8C2×D4semidirect
1143. 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×#32652
C2×#31942
#589972
#398602
#310272
#310042
#308552
#306122
#305572
#305162
#304602
#304162
#283652
#269872
#269422
#265702
#254192
#253962
#252432
#252162
#244412
#243852
#243722
#242692
#242362
#240442
#238492
#233912
#228782
#228502