Finite Group Databasebeta

← #7566129

Subgroups — #7566129

Order 512.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C22×#490C211yesmaximal, characteristic, complemented
3#59139C211yesmaximal, characteristic, complemented
4#59126C211yesmaximal, characteristic, complemented
5#30647C211yesmaximal, characteristic, complemented
6#30646C211yesmaximal, characteristic, complemented
7#30539C211yesmaximal, characteristic, complemented
8#30539C211yesmaximal, characteristic, complemented
9#28930C211yesmaximal, characteristic, complemented
10#28916C211yesmaximal, characteristic, complemented
11#28609C211yesmaximal, characteristic, complemented
12#28421C211yesmaximal, characteristic, complemented
13#27279C211yesmaximal, characteristic, complemented
14#27264C211yesmaximal, characteristic, complemented
15#25891C211yesmaximal, characteristic, complemented
16#25581C211yesmaximal, characteristic, complemented
17#25330C211yesmaximal, characteristic, complemented
18#25288C211yesmaximal, characteristic, complemented
19#25124C211yesmaximal, characteristic, complemented
20#25108C211yesmaximal, characteristic, complemented
21#24873C211yesmaximal, characteristic, complemented
22#24865C211yesmaximal, characteristic, complemented
23#24424C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24305C211yesmaximal, characteristic, complemented
26#24208C211yesmaximal, characteristic, complemented
27#23229C211yesmaximal, characteristic, complemented
28#22423C211yesmaximal, characteristic, complemented
29D4×#102C211yesmaximal, characteristic, complemented
30#21526C211yesmaximal, characteristic, complemented
31#21489C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C22×#127C2211yescharacteristic
38C22×#125C2211yescharacteristic, complemented
39#3318—28no—
40C2×#490—28no—
41C2×#490C2211yescharacteristic
42C2×#490C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#490C2211yescharacteristic, complemented
45C2×#490C2211yescharacteristic, complemented
46C2×#490C2211yescharacteristic, complemented
47C2×#490C2211yescharacteristic, complemented
48C2×#490C2211yescharacteristic, complemented
49C2×#481C2211yescharacteristic, complemented
50C2×#482C2211yescharacteristic, complemented
51C2×#478C2211yescharacteristic, complemented
52C2×#478C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#466C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic, complemented
62C2×#442C2211yescharacteristic, complemented
63C2×#435C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×C8×D4C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic, complemented
67C22×#102C2211yescharacteristic, complemented
68C22×#102C2211yescharacteristic, complemented
69C22×#102C2211yescharacteristic, complemented
70C22×#102C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic, complemented
72C22×#97C2211yescharacteristic, complemented
73#2725—21no—
74#2711—21no—
75#2669—21no—
76#2669—21no—
77#2566C2211yescharacteristic, complemented
78#2562C2211yescharacteristic, complemented
79#2558—21no—
80#2541C2211yescharacteristic
81#2541C2211yescharacteristic
82#2490C2211yescharacteristic, complemented
83#2490C2211yescharacteristic, complemented
84#2481—21no—
85#2460—21no—
86#2443—21no—
87#2442C2211yescharacteristic, complemented
88#2441C2211yescharacteristic, complemented
89#2433—21no—
90#2433C2211yescharacteristic
91#2433C2211yescharacteristic
92#2428—21no—
93#2428C2211yescharacteristic
94#2428C2211yescharacteristic
95#2416—21no—
96#2416C2211yescharacteristic, complemented
97#2416C2211yescharacteristic, complemented
98#2408—21no—
99#2408C2211yescharacteristic
100#2408C2211yescharacteristic
101#2403—21no—
102#2403—21no—
103#2370C2211yescharacteristic, complemented
104#2366C2211yescharacteristic
105#2361—21no—
106#2352C2211yescharacteristic, complemented
107D4×C4⋊C4C2211yescharacteristic, complemented
108C4×#121C2211yescharacteristic
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic, complemented
111#2094C2211yescharacteristic, complemented
112#2092C2211yescharacteristic, complemented
113#2073C2211yescharacteristic, complemented
114#2071C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, complemented
119#2054C2211yescharacteristic, complemented
120#2054C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2011C2211yescharacteristic, complemented
136#2011C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1989C2211yescharacteristic, complemented
145#1982C2211yescharacteristic
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1982C2211yescharacteristic, complemented
149#1972C2211yescharacteristic, complemented
150#1972C2211yescharacteristic, complemented
151#1970C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1943C2211yescharacteristic, complemented
156#1940C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1936C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1895C2211yescharacteristic, complemented
169#1893C2211yescharacteristic
170#1893C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1807C2211yescharacteristic, complemented
188#1804C2211yescharacteristic, complemented
189#1802C2211yescharacteristic, complemented
190#1797C2211yescharacteristic, complemented
191#1786C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#553—24no—
224#553—42no—
225D42—24no—
226D42—24no—
227D42—24no—
228D42—42no—
229D42—42no—
230D42—42no—
231D42—48no—
232C2×#127—24no—
233C2×#127—21no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127—42no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#126—21no—
244C2×#125—24no—
245C2×#125—21no—
246C2×#125—21no—
247C2×#125—42no—
248C2×#125C2311yescharacteristic
249C2×#125C2311yescharacteristic
250C2×#125C2311yescharacteristic
251C2×#125C2311yescharacteristic
252C2×#123—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121D411yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C22×C4⋊C4—21no—
300C22×C4⋊C4—21no—
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C42C2311yescharacteristic
305#490—24no—
306#490—24no—
307#490—24no—
308#490—24no—
309#490—24no—
310#490—24no—
311#490—24no—
312#490D418yescomplemented
313#482—24no—
314#481—24no—
315#478—24no—
316#478—42no—
317#469—24no—
318#466—24no—
319#466—24no—
320#459—24no—
321#459—42no—
322#447—24no—
323#447—24no—
324#447—42no—
325#447—42no—
326#442—24no—
327#435—24no—
328#435—42no—
329C8×D4—42no—
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341#418—24no—
342C2×#102—24no—
343C2×#102—24no—
344C2×#102—24no—
345C2×#102—24no—
346C2×#102—24no—
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×#97—24no—
394C2×#97C2311yescharacteristic
395C2×#97C2311yescharacteristic
396C2×#97C2311yescharacteristic
397C2×#97C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400#400—21no—
401#400—21no—
402#399—21no—
403#398—21no—
404#397—21no—
405#397—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390D411yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#389—21no—
446#389—21no—
447#389—21no—
448#389D411yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388D411yescharacteristic
461#388D411yescharacteristic
462#387—21no—
463#387—21no—
464#387—21no—
465#387—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386D411yescharacteristic
476#386D411yescharacteristic
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#384C2311yescharacteristic
483#382C2311yescharacteristic
484#380—21no—
485#380D411yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#379—21no—
493#379—21no—
494C4×C4⋊C4—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505#340C2311yescharacteristic
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#340C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525C25—21no—
526C25—21no—
527C25—21no—
528C25—21no—
529C22×D4—21no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
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—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—44no—
580C22×D4—44no—
581C22×D4—44no—
582C22×D4—44no—
583C22×D4—44no—
584C22×D4—44no—
585C22×D4—44no—
586C22×D4—44no—
587C22×D4—44no—
588C22×D4—82no—
589C22×D4—82no—
590C22×D4—82no—
591C22×D4—82no—
592C22×D4—82no—
593C22×D4—82no—
594C22×D4C2×D411yescharacteristic
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2411yescharacteristic
598C22×D4C2411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4C2×D411yescharacteristic
611C23×C4C2×D411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C2×D8—22no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×M16—22no—
631C2×M16—41no—
632C2×M16—41no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—22no—
637C22×C8—22no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8—41no—
641C22×C8—41no—
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650#127—22no—
651#127—22no—
652#127—22no—
653#127—22no—
654#127—22no—
655#127—22no—
656#127—22no—
657#127—41no—
658#127—41no—
659#127—41no—
660#127—41no—
661#127—44no—
662#127—44no—
663#127—44no—
664#127C2×D414yes—
665#126—44no—
666#125—22no—
667#125—22no—
668#125—22no—
669#125—22no—
670#125—22no—
671#125—41no—
672#125—41no—
673#125—44no—
674#125—44no—
675#125C2×D414yescomplemented
676#123—44no—
677#121—24no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—44no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—82no—
706#121—82no—
707#121#4114yes—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—44no—
712#120—44no—
713#120—44no—
714#120—44no—
715#120—44no—
716#120—44no—
717#120—44no—
718#120—82no—
719#120—82no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—44no—
735C4×D4—44no—
736C4×D4—44no—
737C4×D4—82no—
738C4×D4—82no—
739#117—22no—
740#117—41no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—41no—
762C2×C4⋊C4—41no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4—44no—
765C2×C4⋊C4—44no—
766C2×C4⋊C4C2×D411yescharacteristic
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C42—22no—
829C2×C42—22no—
830C2×C42—21no—
831C2×C42—21no—
832C2×C42—21no—
833C2×C42—21no—
834C2×C42—21no—
835C2×C42C2×D411yescharacteristic
836C2×C42C2×D411yescharacteristic
837C2×C42C2411yescharacteristic
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840C2×C42C2411yescharacteristic
841#107—22no—
842#107—22no—
843#107—41no—
844#106—22no—
845#106—22no—
846#106—41no—
847#106—41no—
848C4⋊C8—22no—
849C4⋊C8—22no—
850C4⋊C8—41no—
851C4⋊C8—41no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102C2×D414yescomplemented
887#102C2×D414yescomplemented
888#102C2×D414yescomplemented
889#102C2×D414yescomplemented
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898#97—22no—
899#97—22no—
900#97—22no—
901#97—41no—
902#97C2×D414yescomplemented
903C4×C8—41no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—42no—
941C24—42no—
942C24—42no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24C22×D411yescharacteristic
961C24C22×D411yescharacteristic
962C24C22×D411yescharacteristic
963C2×D4—22no—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—24no—
967C2×D4—22no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—22no—
971C2×D4—24no—
972C2×D4—24no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—41no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—44no—
1039C2×D4—44no—
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—82no—
1060C2×D4—82no—
1061C2×D4—82no—
1062C2×D4—82no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—816no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—816no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—816no—
1101C2×D4—816no—
1102C2×D4—816no—
1103C2×D4AGL(1,ℤ/8)14yes—
1104C2×D4C22×D412yes—
1105C2×D4C22×D412yes—
1106C2×D4C2×#4112yes—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C2×#4112yes—
1172C22×C4H(5,𝔽2)12yes—
1173C22×C4C2511yescharacteristic
1174D8—44no—
1175D8—82no—
1176D8—82no—
1177D8—82no—
1178D8—82no—
1179M16—82no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—44no—
1203C2×C8—44no—
1204C2×C8—82no—
1205C2×C8C22×D412yes—
1206C2×C8C22×D412yes—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—41no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—81no—
1243C4⋊C4—81no—
1244C4⋊C4—81no—
1245C4⋊C4—81no—
1246C4⋊C4C22×D412yes—
1247C4⋊C4C22×D412yes—
1248C4⋊C4C2×#4112yes—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—24no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C42—22no—
1297C42—22no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—42no—
1305C42—42no—
1306C42—81no—
1307C42—81no—
1308C42—81no—
1309C42C22×D412yes—
1310C42H(5,𝔽2)12yes—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—22no—
1325C23—22no—
1326C23—21no—
1327C23—22no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—84no—
1371C23—84no—
1372C23—84no—
1373C23—84no—
1374C23—84no—
1375C23—84no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—84no—
1380C23—84no—
1381C23—84no—
1382C23—84no—
1383C23—84no—
1384C23—162no—
1385C23—162no—
1386C23—162no—
1387C23—162no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23—162no—
1392C23—162no—
1393C23—162no—
1394C23—162no—
1395C23—162no—
1396C23—162no—
1397C23—162no—
1398C23#54612yes—
1399C23C2×AGL(1,ℤ/8)12yes—
1400C23C2×AGL(1,ℤ/8)12yes—
1401C23#57612yes—
1402C23C23×D411yescharacteristic
1403D4—28no—
1404D4—22no—
1405D4—22no—
1406D4—22no—
1407D4—22no—
1408D4—22no—
1409D4—22no—
1410D4—44no—
1411D4—48no—
1412D4—44no—
1413D4—48no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436D4—84no—
1437D4—84no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—84no—
1442D4—84no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—84no—
1447D4—84no—
1448D4—84no—
1449D4—84no—
1450D4—84no—
1451D4—162no—
1452D4—162no—
1453D4—162no—
1454D4—162no—
1455D4—162no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—162no—
1535C2×C4—162no—
1536C2×C4D4212yes—
1537C2×C4D4212yes—
1538C2×C4#54612yes—
1539C2×C4C2×AGL(1,ℤ/8)12yes—
1540C2×C4C23×D411yescharacteristic
1541C2×C4C22×#4111yescharacteristic
1542C2×C4C2×H(5,𝔽2)11yescharacteristic
1543C2×C4C2×H(5,𝔽2)11yescharacteristic
1544C2×C4#58511yescharacteristic
1545C2×C4#58511yescharacteristic
1546C8—22no—
1547C8—22no—
1548C8—41no—
1549C8—41no—
1550C8—41no—
1551C8—41no—
1552C8—41no—
1553C8—41no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—168no—
1617C22—168no—
1618C22—168no—
1619C22—168no—
1620C22#331814yescomplemented
1621C22C2×D4211yescharacteristic
1622C22C2×#54611yescharacteristic
1623C22#350011yescharacteristic
1624C22C22×AGL(1,ℤ/8)11yescharacteristic
1625C22C2×#57611yescharacteristic
1626C22#358511yescharacteristic
1627C22#358511yescharacteristic
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—81no—
1643C4—81no—
1644C4—81no—
1645C4—81no—
1646C4—81no—
1647C4—81no—
1648C4—81no—
1649C4D4×#4111yescharacteristic
1650C4#348811yescharacteristic
1651C4#351411yescharacteristic
1652C4#355811yescharacteristic
1653C2—24no—
1654C2—42no—
1655C2—81no—
1656C2—82no—
1657C2—82no—
1658C2—82no—
1659C2—161no—
1660C2—161no—
1661C2—161no—
1662C2#5913111yescharacteristic
1663C2D4×AGL(1,ℤ/8)11yescharacteristic
1664C2#6107211yescharacteristic
1665C2C2×#331811yescharacteristic
1666C2#6122311yescharacteristic
1667C2#6257611yescharacteristic
1668C2#6259811yescharacteristic
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×#3318C2semidirect
2. C22×#490C2semidirect
3. #59139C2semidirect
4. #59126C2semidirect
5. #30647C2semidirect
6. #30646C2semidirect
7. #30539C2semidirect
8. #30539C2semidirect
9. #28930C2semidirect
10. #28916C2semidirect
11. #28609C2semidirect
12. #28421C2semidirect
13. #27279C2semidirect
14. #27264C2semidirect
15. #25891C2semidirect
16. #25581C2semidirect
17. #25330C2semidirect
18. #25288C2semidirect
19. #25124C2semidirect
20. #25108C2semidirect
21. #24873C2semidirect
22. #24865C2semidirect
23. #24424C2semidirect
24. #24424C2semidirect
25. #24305C2semidirect
26. #24208C2semidirect
27. #23229C2semidirect
28. #22423C2semidirect
29. D4×#102C2semidirect
30. #21526C2semidirect
31. #21489C2semidirect
32. C2×#553C22semidirect
38. C22×#125C22semidirect
43. C2×#490C22semidirect
44. C2×#490C22semidirect
45. C2×#490C22semidirect
46. C2×#490C22semidirect
47. C2×#490C22semidirect
48. C2×#490C22semidirect
49. C2×#481C22semidirect
50. C2×#482C22semidirect
51. C2×#478C22semidirect
52. C2×#478C22semidirect
53. C2×#469C22semidirect
55. C2×#466C22semidirect
57. C2×#459C22semidirect
58. C2×#447C22semidirect
59. C2×#447C22semidirect
60. C2×#447C22semidirect
61. C2×#447C22semidirect
62. C2×#442C22semidirect
63. C2×#435C22semidirect
64. C2×#435C22semidirect
65. C2×C8×D4C22semidirect
66. C2×#418C22semidirect
67. C22×#102C22semidirect
68. C22×#102C22semidirect
69. C22×#102C22semidirect
70. C22×#102C22semidirect
71. C22×#102C22semidirect
72. C22×#97C22semidirect
77. #2566C22semidirect
78. #2562C22semidirect
82. #2490C22semidirect
83. #2490C22semidirect
87. #2442C22semidirect
88. #2441C22semidirect
96. #2416C22semidirect
97. #2416C22semidirect
103. #2370C22semidirect
106. #2352C22semidirect
107. D4×C4⋊C4C22semidirect
110. C4×#121C22semidirect
111. #2094C22semidirect
112. #2092C22semidirect
113. #2073C22semidirect
114. #2071C22semidirect
115. #2067C22semidirect
116. #2065C22semidirect
117. #2059C22semidirect
118. #2059C22semidirect
119. #2054C22semidirect
120. #2054C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
135. #2011C22semidirect
136. #2011C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1989C22semidirect
144. #1989C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1982C22semidirect
149. #1972C22semidirect
150. #1972C22semidirect
151. #1970C22semidirect
152. #1961C22semidirect
153. #1957C22semidirect
154. #1955C22semidirect
155. #1943C22semidirect
156. #1940C22semidirect
157. #1936C22semidirect
158. #1936C22semidirect
159. #1936C22semidirect
160. #1934C22semidirect
161. #1926C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1895C22semidirect
168. #1895C22semidirect
170. #1893C22semidirect
171. #1893C22semidirect
172. #1893C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1853C22semidirect
186. #1852C22semidirect
187. #1807C22semidirect
188. #1804C22semidirect
189. #1802C22semidirect
190. #1797C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. #1752C22semidirect
312. #490D4semidirect
675. #125C2×D4semidirect
886. #102C2×D4semidirect
887. #102C2×D4semidirect
888. #102C2×D4semidirect
889. #102C2×D4semidirect
902. #97C2×D4semidirect
1620. C22#3318semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C22×#4902
#591392
#591262
#306472
#306462
#305392
#289302
#289162
#286092
#284212
#272792
#272642
#258912
#255812
#253302
#252882
#251242
#251082
#248732
#248652
#244242
#243052
#242082
#232292
#224232
D4×#1022
#215262
#214892