Finite Group Databasebeta

← #7055935

Subgroups — #7055935

Order 512.

2627 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3294C211yesmaximal, characteristic, complemented
3#59126C211yesmaximal, characteristic, complemented
4#38950C211yesmaximal, characteristic, complemented
5#31145C211yesmaximal, characteristic, complemented
6#31140C211yesmaximal, characteristic, complemented
7#30890C211yesmaximal, characteristic, complemented
8#30876C211yesmaximal, characteristic, complemented
9#30717C211yesmaximal, characteristic, complemented
10#30714C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#28573C211yesmaximal, characteristic, complemented
14#27273C211yesmaximal, characteristic, complemented
15#27264C211yesmaximal, characteristic, complemented
16#26912C211yesmaximal, characteristic, complemented
17#26888C211yesmaximal, characteristic, complemented
18#25725C211yesmaximal, characteristic, complemented
19#25422C211yesmaximal, characteristic, complemented
20#25419C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#25112C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24432C211yesmaximal, characteristic, complemented
25#24432C211yesmaximal, characteristic, complemented
26#24424C211yesmaximal, characteristic, complemented
27#23966C211yesmaximal, characteristic, complemented
28#23960C211yesmaximal, characteristic, complemented
29C2×#2041C211yesmaximal, characteristic, complemented
30#23117C211yesmaximal, characteristic, complemented
31#22081C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×#547C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C22×#127C2211yescharacteristic
39#3310—28no—
40#3294—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#496C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44C2×#486C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#480C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic, complemented
49C2×#474C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic, complemented
66C2×#440C2211yescharacteristic, complemented
67C2×C4×D8C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×C8×D4C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75C22×#102C2211yescharacteristic, complemented
76#2850C2211yescharacteristic, complemented
77#2707—21no—
78#2705—21no—
79#2704—21no—
80#2702—21no—
81#2669—21no—
82#2669—21no—
83#2618—21no—
84#2541C2211yescharacteristic
85#2541C2211yescharacteristic
86#2498—21no—
87#2454C2211yescharacteristic, complemented
88#2451C2211yescharacteristic, complemented
89#2442C2211yescharacteristic, complemented
90#2439C2211yescharacteristic, complemented
91#2433—21no—
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2430—21no—
95#2428—21no—
96#2428C2211yescharacteristic
97#2428C2211yescharacteristic
98#2427C2211yescharacteristic, complemented
99#2426C2211yescharacteristic, complemented
100#2417C2211yescharacteristic, complemented
101#2417C2211yescharacteristic, complemented
102#2416C2211yescharacteristic, complemented
103#2414C2211yescharacteristic, complemented
104#2408—21no—
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2403—21no—
108#2403—21no—
109#2366C2211yescharacteristic
110#2311—21no—
111C4×#121C2211yescharacteristic
112C4×#121C2211yescharacteristic
113C2×#389C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2073C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2023C2211yescharacteristic, complemented
139#2014C2211yescharacteristic
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1961C2211yescharacteristic, complemented
157#1961C2211yescharacteristic, complemented
158#1943C2211yescharacteristic, complemented
159#1943C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1936C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1921C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic
187#1874C2211yescharacteristic, complemented
188#1874C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1864C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1823C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1749C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229#552—24no—
230#552—42no—
231#547—24no—
232#547—42no—
233D42—24no—
234D42—24no—
235D42—42no—
236D42—42no—
237D42—42no—
238D42—42no—
239D42—48no—
240C2×C4⋊Q8C2311yescharacteristic
241C2×#127—21no—
242C2×#127—21no—
243C2×#127—21no—
244C2×#127—42no—
245C2×#127—42no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#126—21no—
253C2×#125—21no—
254C2×#125C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#123—21no—
257C2×#123—21no—
258C2×#123—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×C4×Q8C2311yescharacteristic
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×#117—21no—
305C2×#117C2311yescharacteristic
306C22×C4⋊C4—21no—
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C42C2311yescharacteristic
311#496—42no—
312#496—42no—
313#490—24no—
314#486—24no—
315#482—24no—
316#480—24no—
317#480D418yescomplemented
318#478—24no—
319#474—24no—
320#469—42no—
321#468—24no—
322#466—24no—
323#466—24no—
324#465—24no—
325#465—42no—
326#460—24no—
327#459—24no—
328#450—24no—
329#450—24no—
330#450—42no—
331#450—42no—
332#447—24no—
333#447—24no—
334#447—42no—
335#447—42no—
336#440—24no—
337C4×D8—24no—
338#435—24no—
339C8×D4—24no—
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#418—24no—
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#102—24no—
353C2×#102—24no—
354C2×#102—24no—
355C2×#102—42no—
356C2×#102—42no—
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402#400—21no—
403#399—21no—
404#398—21no—
405#398—21no—
406#398—21no—
407#398—21no—
408#397—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#396—21no—
414#396—21no—
415#395—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#393—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#391—21no—
439#391—21no—
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390D411yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#389—21no—
455#389—21no—
456#389D411yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388D411yescharacteristic
470#388D411yescharacteristic
471#387—21no—
472#387—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386D411yescharacteristic
485#386D411yescharacteristic
486#385—21no—
487#385—21no—
488#382C2311yescharacteristic
489#380—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380D411yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C2×#95—21no—
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528C25—21no—
529C25—21no—
530C25—21no—
531C25—21no—
532C2×#41—44no—
533C2×#41—44no—
534C2×#41—82no—
535C22×Q8—21no—
536C22×Q8C2411yescharacteristic
537C22×D4—21no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
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—22no—
572C22×D4—22no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
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—44no—
588C22×D4—44no—
589C22×D4—44no—
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×D4—82no—
600C22×D4—82no—
601C22×D4—82no—
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C2×SD16—22no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×M16—22no—
654C2×M16—41no—
655C2×M16—41no—
656C22×C8—22no—
657C22×C8—22no—
658C22×C8—22no—
659C22×C8—41no—
660C22×C8—41no—
661C22×C8—41no—
662C22×C8—41no—
663C22×C8—41no—
664C22×C8—41no—
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C4⋊Q8—22no—
674C4⋊Q8—41no—
675#127—22no—
676#127—22no—
677#127—22no—
678#127—22no—
679#127—22no—
680#127—22no—
681#127—41no—
682#127—41no—
683#127—41no—
684#127—41no—
685#127—41no—
686#127—41no—
687#127—44no—
688#127—44no—
689#127—44no—
690#126—44no—
691#125—22no—
692#125—41no—
693#125—44no—
694#124—41no—
695#124—41no—
696#123—44no—
697#123—44no—
698#123—44no—
699C22⋊Q8—22no—
700C22⋊Q8—22no—
701C22⋊Q8—22no—
702C22⋊Q8—44no—
703C22⋊Q8—41no—
704C22⋊Q8—41no—
705C22⋊Q8—41no—
706#121—24no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—44no—
725#121—44no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—82no—
733#121—82no—
734#121C2×D414yes—
735#120—44no—
736#120—44no—
737#120—44no—
738#120—44no—
739#120—44no—
740#120—44no—
741#120—44no—
742#120—44no—
743#120—44no—
744#120—44no—
745#120—82no—
746#120—82no—
747C4×Q8—22no—
748C4×Q8—41no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—41no—
763C4×D4—44no—
764C4×D4—44no—
765#117—22no—
766#117—44no—
767#117—41no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4—41no—
789C2×C4⋊C4—41no—
790C2×C4⋊C4—82no—
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D414yescomplemented
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C42—21no—
854C2×C42—21no—
855C2×C42—21no—
856C2×C42—41no—
857C2×C42—41no—
858C2×C42C2×D411yescharacteristic
859C2×C42C2×D411yescharacteristic
860C2×C42C2411yescharacteristic
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863C2×C42C2411yescharacteristic
864#107—22no—
865#107C2×D414yescomplemented
866#107C2×D414yescomplemented
867#106—22no—
868#106—41no—
869#106—41no—
870C4⋊C8—22no—
871C4⋊C8—22no—
872#103—22no—
873#103—41no—
874#103—41no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—41no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102C2×D414yescomplemented
907#102C2×D414yescomplemented
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8C2×D414yescomplemented
916#97—22no—
917#97—41no—
918#97—41no—
919C4×C8—22no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95C2×D411yescharacteristic
938#95C2×D411yescharacteristic
939#95C2×D411yescharacteristic
940#95C2×D411yescharacteristic
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24C22×D411yescharacteristic
978C24C22×D411yescharacteristic
979C24C22×D411yescharacteristic
980#41—816no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—42no—
988C2×Q8—42no—
989C2×Q8—81no—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—24no—
993C2×D4—22no—
994C2×D4—24no—
995C2×D4—22no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—24no—
999C2×D4—22no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
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—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—41no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
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—44no—
1065C2×D4—44no—
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—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—82no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4—816no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—816no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—816no—
1128C2×D4—816no—
1129C2×D4—816no—
1130C2×D4AGL(1,ℤ/8)14yes—
1131C2×D4C22×D412yes—
1132C2×D4H(5,𝔽2)12yes—
1133C2×D4H(5,𝔽2)12yes—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—24no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—22no—
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—21no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4C22×D411yescharacteristic
1188C22×C4C22×D411yescharacteristic
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D412yes—
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4H(5,𝔽2)12yes—
1200C22×C4C2511yescharacteristic
1201SD16—44no—
1202SD16—82no—
1203SD16—82no—
1204SD16—82no—
1205SD16—82no—
1206D8—44no—
1207D8—82no—
1208D8—82no—
1209D8—82no—
1210D8—82no—
1211M16—82no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—82no—
1235C2×C8—82no—
1236C2×C8—82no—
1237C2×C8C22×D412yes—
1238C2×C8C22×D412yes—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—81no—
1269C4⋊C4—81no—
1270C4⋊C4—81no—
1271C4⋊C4—81no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4—81no—
1275C4⋊C4—81no—
1276C4⋊C4C22×D412yes—
1277C4⋊C4C22×D412yes—
1278C4⋊C4C22×D412yes—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—24no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C22⋊C4—81no—
1317C22⋊C4—81no—
1318C22⋊C4—81no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—41no—
1335C42—41no—
1336C42—42no—
1337C42—42no—
1338C42—42no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—22no—
1352C23—21no—
1353C23—22no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—84no—
1399C23—84no—
1400C23—84no—
1401C23—84no—
1402C23—84no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—84no—
1407C23—84no—
1408C23—84no—
1409C23—84no—
1410C23—84no—
1411C23—84no—
1412C23—162no—
1413C23—162no—
1414C23—162no—
1415C23—162no—
1416C23—162no—
1417C23—162no—
1418C23—162no—
1419C23—162no—
1420C23—162no—
1421C23—162no—
1422C23—162no—
1423C23—162no—
1424C23—162no—
1425C23—162no—
1426C23D4212yes—
1427C23C2×AGL(1,ℤ/8)12yes—
1428C23C2×AGL(1,ℤ/8)12yes—
1429C23#57612yes—
1430C23C23×D411yescharacteristic
1431Q8—41no—
1432Q8—41no—
1433Q8—41no—
1434Q8—41no—
1435Q8—84no—
1436D4—28no—
1437D4—22no—
1438D4—22no—
1439D4—22no—
1440D4—22no—
1441D4—22no—
1442D4—22no—
1443D4—44no—
1444D4—48no—
1445D4—44no—
1446D4—48no—
1447D4—41no—
1448D4—41no—
1449D4—41no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—162no—
1485D4—162no—
1486D4—162no—
1487D4—162no—
1488D4—162no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
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—44no—
1527C2×C4—44no—
1528C2×C4—48no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—162no—
1570C2×C4D4212yes—
1571C2×C4C2×AGL(1,ℤ/8)12yes—
1572C2×C4#57712yes—
1573C2×C4C23×D411yescharacteristic
1574C2×C4C2×H(5,𝔽2)11yescharacteristic
1575C2×C4C2×H(5,𝔽2)11yescharacteristic
1576C2×C4C2×H(5,𝔽2)11yescharacteristic
1577C2×C4#58511yescharacteristic
1578C2×C4#58511yescharacteristic
1579C8—22no—
1580C8—22no—
1581C8—41no—
1582C8—41no—
1583C8—41no—
1584C8—41no—
1585C8—41no—
1586C8—41no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—168no—
1650C22—168no—
1651C22—168no—
1652C22—168no—
1653C22#326414yes—
1654C22C2×D4211yescharacteristic
1655C22#348411yescharacteristic
1656C22#350011yescharacteristic
1657C22C22×AGL(1,ℤ/8)11yescharacteristic
1658C22C2×#57611yescharacteristic
1659C22C2×#57711yescharacteristic
1660C22#358511yescharacteristic
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—81no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4#348811yescharacteristic
1683C4#348811yescharacteristic
1684C4#353411yescharacteristic
1685C4#353411yescharacteristic
1686C2—24no—
1687C2—42no—
1688C2—81no—
1689C2—82no—
1690C2—82no—
1691C2—82no—
1692C2—161no—
1693C2—161no—
1694C2—161no—
1695C2#4388911yescharacteristic
1696C2C2×#326411yescharacteristic
1697C2#6109511yescharacteristic
1698C2#6160011yescharacteristic
1699C2#6160911yescharacteristic
1700C2#6255211yescharacteristic
1701C2#6257611yescharacteristic
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×#3310C2semidirect
2. C2×#3294C2semidirect
3. #59126C2semidirect
4. #38950C2semidirect
5. #31145C2semidirect
6. #31140C2semidirect
7. #30890C2semidirect
8. #30876C2semidirect
9. #30717C2semidirect
10. #30714C2semidirect
11. #30472C2semidirect
12. #30460C2semidirect
13. #28573C2semidirect
14. #27273C2semidirect
15. #27264C2semidirect
16. #26912C2semidirect
17. #26888C2semidirect
18. #25725C2semidirect
19. #25422C2semidirect
20. #25419C2semidirect
21. #25124C2semidirect
22. #25112C2semidirect
23. #24440C2semidirect
24. #24432C2semidirect
25. #24432C2semidirect
26. #24424C2semidirect
27. #23966C2semidirect
28. #23960C2semidirect
29. C2×#2041C2semidirect
30. #23117C2semidirect
31. #22081C2semidirect
32. C2×#552C22semidirect
33. C2×#547C22semidirect
41. C2×#496C22semidirect
42. C2×#496C22semidirect
43. C2×#490C22semidirect
44. C2×#486C22semidirect
45. C2×#482C22semidirect
47. C2×#480C22semidirect
48. C2×#478C22semidirect
49. C2×#474C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
53. C2×#466C22semidirect
55. C2×#465C22semidirect
56. C2×#460C22semidirect
57. C2×#459C22semidirect
58. C2×#450C22semidirect
59. C2×#450C22semidirect
60. C2×#450C22semidirect
61. C2×#450C22semidirect
62. C2×#447C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#447C22semidirect
66. C2×#440C22semidirect
67. C2×C4×D8C22semidirect
68. C2×#435C22semidirect
69. C2×C8×D4C22semidirect
70. C2×#418C22semidirect
71. C22×#102C22semidirect
72. C22×#102C22semidirect
73. C22×#102C22semidirect
74. C22×#102C22semidirect
75. C22×#102C22semidirect
76. #2850C22semidirect
87. #2454C22semidirect
88. #2451C22semidirect
89. #2442C22semidirect
90. #2439C22semidirect
98. #2427C22semidirect
99. #2426C22semidirect
100. #2417C22semidirect
101. #2417C22semidirect
102. #2416C22semidirect
103. #2414C22semidirect
113. C2×#389C22semidirect
114. #2085C22semidirect
115. #2073C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
119. #2054C22semidirect
120. #2042C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2025C22semidirect
136. #2025C22semidirect
137. #2023C22semidirect
138. #2023C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
142. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1972C22semidirect
155. #1968C22semidirect
156. #1961C22semidirect
157. #1961C22semidirect
158. #1943C22semidirect
159. #1943C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1936C22semidirect
163. #1934C22semidirect
164. #1928C22semidirect
165. #1926C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1921C22semidirect
169. #1921C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
187. #1874C22semidirect
188. #1874C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1864C22semidirect
194. #1864C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1853C22semidirect
198. #1823C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. #1749C22semidirect
204. C2×#336C22semidirect
317. #480D4semidirect
796. C2×C4⋊C4C2×D4semidirect
865. #107C2×D4semidirect
866. #107C2×D4semidirect
906. #102C2×D4semidirect
907. #102C2×D4semidirect
915. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#32942
#591262
#389502
#311452
#311402
#308902
#308762
#307172
#307142
#304722
#304602
#285732
#272732
#272642
#269122
#268882
#257252
#254222
#254192
#251242
#251122
#244402
#244322
#244242
#239662
#239602
C2×#20412
#231172
#220812