Finite Group Databasebeta

← #7566179

Subgroups — #7566179

Order 512.

2539 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3138C211yesmaximal, characteristic, complemented
3#59138C211yesmaximal, characteristic, complemented
4#59126C211yesmaximal, characteristic
5#30632C211yesmaximal, characteristic, complemented
6#30629C211yesmaximal, characteristic, complemented
7#30527C211yesmaximal, characteristic, complemented
8#30527C211yesmaximal, characteristic, complemented
9#28923C211yesmaximal, characteristic, complemented
10#28905C211yesmaximal, characteristic, complemented
11#28609C211yesmaximal, characteristic, complemented
12#28435C211yesmaximal, characteristic, complemented
13#27273C211yesmaximal, characteristic, complemented
14#27254C211yesmaximal, characteristic, complemented
15#25891C211yesmaximal, characteristic, complemented
16#25583C211yesmaximal, characteristic, complemented
17#25332C211yesmaximal, characteristic, complemented
18#25288C211yesmaximal, characteristic, complemented
19#25136C211yesmaximal, characteristic, complemented
20#25120C211yesmaximal, characteristic, complemented
21#24890C211yesmaximal, characteristic, complemented
22#24882C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24304C211yesmaximal, characteristic, complemented
26#24211C211yesmaximal, characteristic, complemented
27#23229C211yesmaximal, characteristic, complemented
28#22428C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#21540C211yesmaximal, characteristic, complemented
31#21490C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#533C2211yescharacteristic, complemented
38C22×#127C2211yescharacteristic
39#3310—28no—
40#3138—28no—
41C2×#490C2211yescharacteristic
42C2×#490C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#490C2211yescharacteristic, complemented
45C2×#486C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#486C2211yescharacteristic, complemented
48C2×#486C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic, complemented
50C2×#480C2211yescharacteristic, complemented
51C2×#478C2211yescharacteristic, complemented
52C2×#478C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic
57C2×#460C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#440C2211yescharacteristic, complemented
63C2×#436C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×#435C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic, complemented
67C2×#418C2211yescharacteristic, complemented
68C2×#418C2211yescharacteristic, complemented
69C2×#418C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic, complemented
72C2×C4×M16C2211yescharacteristic, complemented
73#2690—21no—
74#2681—21no—
75#2669—21no—
76#2669—21no—
77#2565C2211yescharacteristic, complemented
78#2562C2211yescharacteristic, complemented
79#2560—21no—
80#2541C2211yescharacteristic
81#2541C2211yescharacteristic
82#2492C2211yescharacteristic, complemented
83#2492C2211yescharacteristic, complemented
84#2477—21no—
85#2469—21no—
86#2458—21no—
87#2453—21no—
88#2440C2211yescharacteristic, complemented
89#2439C2211yescharacteristic, complemented
90#2433—21no—
91#2433C2211yescharacteristic
92#2433C2211yescharacteristic
93#2428—21no—
94#2428C2211yescharacteristic
95#2428C2211yescharacteristic
96#2415C2211yescharacteristic, complemented
97#2415C2211yescharacteristic, complemented
98#2408—21no—
99#2408C2211yescharacteristic
100#2408C2211yescharacteristic
101#2403—21no—
102#2403—21no—
103#2370C2211yescharacteristic, complemented
104#2366C2211yescharacteristic
105#2362—21no—
106#2354C2211yescharacteristic, complemented
107#2352C2211yescharacteristic, complemented
108C4×C22⋊Q8C2211yescharacteristic, complemented
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic
111#2093C2211yescharacteristic, complemented
112#2092C2211yescharacteristic, complemented
113#2073C2211yescharacteristic, complemented
114#2071C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, 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#2023C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1989C2211yescharacteristic, complemented
145#1982C2211yescharacteristic
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1982C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1968C2211yescharacteristic, complemented
151#1968C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1942C2211yescharacteristic, complemented
156#1940C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1923C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1809C2211yescharacteristic, 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#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, 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×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#552—24no—
224#552—42no—
225D42—24no—
226D42—24no—
227D42—24no—
228D42—42no—
229D42—42no—
230D42—42no—
231D42—48no—
232#533—24no—
233#533—42no—
234C2×C4⋊Q8C2311yescharacteristic
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—24no—
237C2×#127—21no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—42no—
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#126—21no—
248C2×#125—21no—
249C2×#125C2311yescharacteristic
250C2×#125C2311yescharacteristic
251C2×#123—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121D411yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#120—21no—
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×C4×Q8—21no—
286C2×C4×Q8—21no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117—21no—
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C42C2311yescharacteristic
302#490—24no—
303#490—24no—
304#490—24no—
305#490D418yescomplemented
306#486—24no—
307#486—24no—
308#486—24no—
309#486—24no—
310#482—24no—
311#480—24no—
312#478—24no—
313#478—42no—
314#468—24no—
315#468—24no—
316#465—24no—
317#460—24no—
318#460—42no—
319#450—24no—
320#450—24no—
321#450—42no—
322#450—42no—
323#440—24no—
324#436—42no—
325#435—24no—
326#435—42no—
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338#418—24no—
339#418—24no—
340#418—24no—
341#418—24no—
342#418—24no—
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C4×M16—24no—
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396C2×C4×C8C2311yescharacteristic
397#400—21no—
398#400—21no—
399#400—21no—
400#398—21no—
401#398—21no—
402#398—21no—
403#397—21no—
404#397—21no—
405#396—21no—
406#395—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#393—21no—
415#393—21no—
416#393—21no—
417#392—21no—
418#392—21no—
419#392—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#391—21no—
430#391—21no—
431#391—21no—
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#390—21no—
436#390—21no—
437#390—21no—
438#390D411yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#389—21no—
445#389—21no—
446#389—21no—
447#389D411yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388D411yescharacteristic
463#388D411yescharacteristic
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#387—21no—
469#387—21no—
470#387—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386D411yescharacteristic
478#386D411yescharacteristic
479#385—21no—
480#385—21no—
481#384C2311yescharacteristic
482#382C2311yescharacteristic
483#380D411yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#379—21no—
491#379—21no—
492C4×C4⋊C4—21no—
493C4×C4⋊C4—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×Q8—21no—
530C22×Q8—21no—
531C22×Q8C2411yescharacteristic
532C22×D4—21no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
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
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4C2×D411yescharacteristic
607C23×C4C2×D411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×M16—22no—
627C2×M16—22no—
628C2×M16—22no—
629C2×M16—22no—
630C2×M16—22no—
631C2×M16—41no—
632C2×M16—41no—
633C2×M16—41no—
634C2×M16—41no—
635C22×C8—22no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C4⋊Q8—22no—
647C4⋊Q8—22no—
648C4⋊Q8—41no—
649C4⋊Q8—41no—
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—44no—
670#125C2×D414yescomplemented
671#123—44no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—44no—
679C22⋊Q8—44no—
680C22⋊Q8—44no—
681#121—22no—
682#121—24no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—44no—
695#121—44no—
696#121—44no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—82no—
702#121#4114yes—
703#120—44no—
704#120—44no—
705#120—44no—
706#120—44no—
707#120—44no—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—44no—
712#120—44no—
713#120—82no—
714#120—82no—
715C4×Q8—22no—
716C4×Q8—22no—
717C4×Q8—44no—
718C4×Q8—44no—
719C4×D4—22no—
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—41no—
730C4×D4—41no—
731C4×D4—44no—
732C4×D4—44no—
733#117—22no—
734#117—22no—
735#117—22no—
736#117—44no—
737#117—41no—
738#117—41no—
739#117—41no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
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—41no—
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2×D411yescharacteristic
762C2×C4⋊C4C2×D411yescharacteristic
763C2×C4⋊C4C2×D411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C42—22no—
817C2×C42—22no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42—21no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42C2×D411yescharacteristic
827C2×C42C2×D411yescharacteristic
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831C2×C42C2411yescharacteristic
832#107—22no—
833#107—22no—
834#107—22no—
835#107—41no—
836#106—22no—
837#106—41no—
838#106—41no—
839C4⋊C8—22no—
840C4⋊C8—22no—
841C4⋊C8—41no—
842C4⋊C8—41no—
843#103—22no—
844#103—22no—
845#103—41no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
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—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102C2×D414yescomplemented
878#102C2×D414yescomplemented
879#102C2×D414yescomplemented
880#102C2×D414yescomplemented
881C22⋊C8—22no—
882C22⋊C8—22no—
883C22⋊C8—22no—
884C22⋊C8—22no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889#97—22no—
890#97—41no—
891#97C2×D414yescomplemented
892C4×C8—22no—
893C4×C8—22no—
894C4×C8—41no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
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#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—42no—
941C24—42no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—42no—
966C2×Q8—42no—
967C2×Q8—42no—
968C2×Q8—42no—
969C2×Q8—81no—
970C2×Q8—81no—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—24no—
974C2×D4—22no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—24no—
978C2×D4—24no—
979C2×D4—22no—
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—21no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
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—44no—
1036C2×D4—44no—
1037C2×D4—42no—
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—82no—
1057C2×D4—82no—
1058C2×D4—82no—
1059C2×D4—82no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
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—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—816no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—816no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—816no—
1095C2×D4—816no—
1096C2×D4—816no—
1097C2×D4C22×D412yes—
1098C2×D4C22×D412yes—
1099C2×D4C2×#4112yes—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
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—41no—
1132C22×C4—41no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C2×#4112yes—
1157C22×C4H(5,𝔽2)12yes—
1158C22×C4C2511yescharacteristic
1159SD16—44no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163SD16—82no—
1164M16—44no—
1165M16—44no—
1166M16—82no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
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—82no—
1190C2×C8C22×D412yes—
1191C2×C8C22×D412yes—
1192C4⋊C4—24no—
1193C4⋊C4—24no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—41no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—81no—
1230C4⋊C4—81no—
1231C4⋊C4C22×D412yes—
1232C4⋊C4C22×D412yes—
1233C4⋊C4C2×#4112yes—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—24no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4AGL(1,ℤ/8)14yes—
1276C42—22no—
1277C42—22no—
1278C42—21no—
1279C42—21no—
1280C42—21no—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—42no—
1285C42—42no—
1286C42—42no—
1287C42—42no—
1288C42—42no—
1289C42—81no—
1290C42—81no—
1291C42—81no—
1292C42C22×D412yes—
1293C42H(5,𝔽2)12yes—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—22no—
1310C23—22no—
1311C23—21no—
1312C23—22no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
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—84no—
1349C23—84no—
1350C23—84no—
1351C23—84no—
1352C23—84no—
1353C23—84no—
1354C23—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—84no—
1359C23—84no—
1360C23—84no—
1361C23—84no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23—162no—
1367C23—162no—
1368C23—162no—
1369C23—162no—
1370C23—162no—
1371C23—162no—
1372C23—162no—
1373C23—162no—
1374C23—162no—
1375C23—162no—
1376C23#54612yes—
1377C23C2×AGL(1,ℤ/8)12yes—
1378C23C23×D411yescharacteristic
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—84no—
1384Q8—84no—
1385D4—22no—
1386D4—22no—
1387D4—22no—
1388D4—22no—
1389D4—22no—
1390D4—22no—
1391D4—44no—
1392D4—44no—
1393D4—48no—
1394D4—44no—
1395D4—48no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—84no—
1411D4—84no—
1412D4—84no—
1413D4—84no—
1414D4—84no—
1415D4—84no—
1416D4—84no—
1417D4—84no—
1418D4—84no—
1419D4—84no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—162no—
1428D4—162no—
1429D4—162no—
1430D4—162no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
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—84no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4D4212yes—
1510C2×C4D4212yes—
1511C2×C4#54612yes—
1512C2×C4C2×AGL(1,ℤ/8)12yes—
1513C2×C4C2×AGL(1,ℤ/8)12yes—
1514C2×C4#57712yes—
1515C2×C4C23×D411yescharacteristic
1516C2×C4C22×#4111yescharacteristic
1517C2×C4C2×H(5,𝔽2)11yescharacteristic
1518C2×C4C2×H(5,𝔽2)11yescharacteristic
1519C2×C4#58511yescharacteristic
1520C2×C4#58511yescharacteristic
1521C8—22no—
1522C8—22no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—168no—
1586C22—168no—
1587C22—168no—
1588C22—168no—
1589C22C2×D4211yescharacteristic
1590C22C2×#54611yescharacteristic
1591C22#350011yescharacteristic
1592C22C22×AGL(1,ℤ/8)11yescharacteristic
1593C22C2×#57711yescharacteristic
1594C22#358511yescharacteristic
1595C22#358511yescharacteristic
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—42no—
1608C4—41no—
1609C4—41no—
1610C4—81no—
1611C4—81no—
1612C4—81no—
1613C4—81no—
1614C4—81no—
1615C4—81no—
1616C4—81no—
1617C4—81no—
1618C4D4×#4111yescharacteristic
1619C4#348811yescharacteristic
1620C4#351411yescharacteristic
1621C4#355811yescharacteristic
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—82no—
1626C2—82no—
1627C2—82no—
1628C2—161no—
1629C2—161no—
1630C2#5913111yescharacteristic
1631C2D4×AGL(1,ℤ/8)11yescharacteristic
1632C2#6107111yescharacteristic
1633C2#6115511yescharacteristic
1634C2#6120611yescharacteristic
1635C2#6253911yescharacteristic
1636C2#6256411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#59126C2
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×#3138C2semidirect
3. #59138C2semidirect
5. #30632C2semidirect
6. #30629C2semidirect
7. #30527C2semidirect
8. #30527C2semidirect
9. #28923C2semidirect
10. #28905C2semidirect
11. #28609C2semidirect
12. #28435C2semidirect
13. #27273C2semidirect
14. #27254C2semidirect
15. #25891C2semidirect
16. #25583C2semidirect
17. #25332C2semidirect
18. #25288C2semidirect
19. #25136C2semidirect
20. #25120C2semidirect
21. #24890C2semidirect
22. #24882C2semidirect
23. #24448C2semidirect
24. #24448C2semidirect
25. #24304C2semidirect
26. #24211C2semidirect
27. #23229C2semidirect
28. #22428C2semidirect
29. #22423C2semidirect
30. #21540C2semidirect
31. #21490C2semidirect
32. C2×#552C22semidirect
37. C2×#533C22semidirect
43. C2×#490C22semidirect
44. C2×#490C22semidirect
45. C2×#486C22semidirect
46. C2×#486C22semidirect
47. C2×#486C22semidirect
48. C2×#486C22semidirect
49. C2×#482C22semidirect
50. C2×#480C22semidirect
51. C2×#478C22semidirect
52. C2×#478C22semidirect
54. C2×#468C22semidirect
55. C2×#465C22semidirect
57. C2×#460C22semidirect
58. C2×#450C22semidirect
59. C2×#450C22semidirect
60. C2×#450C22semidirect
61. C2×#450C22semidirect
62. C2×#440C22semidirect
63. C2×#436C22semidirect
64. C2×#435C22semidirect
65. C2×#435C22semidirect
66. C2×#418C22semidirect
67. C2×#418C22semidirect
68. C2×#418C22semidirect
69. C2×#418C22semidirect
70. C2×#418C22semidirect
71. C22×#102C22semidirect
72. C2×C4×M16C22semidirect
77. #2565C22semidirect
78. #2562C22semidirect
82. #2492C22semidirect
83. #2492C22semidirect
88. #2440C22semidirect
89. #2439C22semidirect
96. #2415C22semidirect
97. #2415C22semidirect
103. #2370C22semidirect
106. #2354C22semidirect
107. #2352C22semidirect
108. C4×C22⋊Q8C22semidirect
111. #2093C22semidirect
112. #2092C22semidirect
113. #2073C22semidirect
114. #2071C22semidirect
115. #2067C22semidirect
116. #2065C22semidirect
117. #2058C22semidirect
118. #2057C22semidirect
119. #2055C22semidirect
120. #2055C22semidirect
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. #2023C22semidirect
134. #2023C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #1989C22semidirect
144. #1989C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1982C22semidirect
149. #1973C22semidirect
150. #1968C22semidirect
151. #1968C22semidirect
152. #1961C22semidirect
153. #1957C22semidirect
154. #1955C22semidirect
155. #1942C22semidirect
156. #1940C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1926C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1925C22semidirect
165. #1923C22semidirect
166. #1923C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
170. #1894C22semidirect
171. #1893C22semidirect
172. #1893C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1809C22semidirect
188. #1804C22semidirect
189. #1802C22semidirect
190. #1797C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1763C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. C8×C22⋊C4C22semidirect
305. #490D4semidirect
670. #125C2×D4semidirect
877. #102C2×D4semidirect
878. #102C2×D4semidirect
879. #102C2×D4semidirect
880. #102C2×D4semidirect
891. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#31382
#591382
#591262
#306322
#306292
#305272
#289232
#289052
#286092
#284352
#272732
#272542
#258912
#255832
#253322
#252882
#251362
#251202
#248902
#248822
#244482
#243042
#242112
#232292
#224282
#224232
#215402
#214902