Finite Group Databasebeta

← #7566156

Subgroups — #7566156

Order 512.

2359 conjugacy classes of subgroups.

The subgroup lattice has 1583 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3306C211yesmaximal, characteristic, complemented
2C2×#3141C211yesmaximal, characteristic, complemented
3#59129C211yesmaximal, characteristic, complemented
4#59125C211yesmaximal, characteristic, complemented
5#30633C211yesmaximal, characteristic, complemented
6#30631C211yesmaximal, characteristic, complemented
7#30528C211yesmaximal, characteristic, complemented
8#30519C211yesmaximal, characteristic, complemented
9#28921C211yesmaximal, characteristic, complemented
10#28909C211yesmaximal, characteristic, complemented
11#28610C211yesmaximal, characteristic, complemented
12#28430C211yesmaximal, characteristic, complemented
13#27274C211yesmaximal, characteristic, complemented
14#27254C211yesmaximal, characteristic, complemented
15#25898C211yesmaximal, characteristic, complemented
16#25577C211yesmaximal, characteristic, complemented
17#25334C211yesmaximal, characteristic, complemented
18#25284C211yesmaximal, characteristic, complemented
19#25133C211yesmaximal, characteristic, complemented
20#25123C211yesmaximal, characteristic, complemented
21#24881C211yesmaximal, characteristic, complemented
22#24879C211yesmaximal, characteristic, complemented
23#24451C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24299C211yesmaximal, characteristic, complemented
26#24214C211yesmaximal, characteristic, complemented
27#23228C211yesmaximal, characteristic, complemented
28#22432C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#21538C211yesmaximal, characteristic, complemented
31#21490C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#548—21no—
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic, complemented
39#3306—28no—
40#3141—28no—
41C2×#489C2211yescharacteristic
42C2×#489C2211yescharacteristic
43C2×#489C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic, complemented
45C2×#487C2211yescharacteristic, complemented
46C2×#487C2211yescharacteristic, complemented
47C2×#486C2211yescharacteristic
48C2×#486C2211yescharacteristic
49C2×#481C2211yescharacteristic
50C2×#483C2211yescharacteristic
51C2×#476C2211yescharacteristic
52C2×#476C2211yescharacteristic
53C2×#469C2211yescharacteristic
54C2×#469C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic
62C2×#442C2211yescharacteristic
63C2×#436C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic
65C2×#435C2211yescharacteristic
66C2×#417C2211yescharacteristic
67C2×#417C2211yescharacteristic
68C2×#417C2211yescharacteristic
69C2×#417C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic
72C2×C4×M16C2211yescharacteristic, complemented
73#2674—21no—
74#2674—21no—
75#2671—21no—
76#2669—21no—
77#2547C2211yescharacteristic
78#2544C2211yescharacteristic
79#2542C2211yescharacteristic, complemented
80#2540C2211yescharacteristic
81#2491C2211yescharacteristic
82#2491C2211yescharacteristic, complemented
83#2464—21no—
84#2455—21no—
85#2443—21no—
86#2443—21no—
87#2440C2211yescharacteristic
88#2440C2211yescharacteristic, complemented
89#2433C2211yescharacteristic
90#2432—21no—
91#2432C2211yescharacteristic
92#2429—21no—
93#2429C2211yescharacteristic
94#2428—21no—
95#2428C2211yescharacteristic
96#2424—21no—
97#2424—21no—
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic, complemented
100#2409—21no—
101#2407C2211yescharacteristic
102#2407C2211yescharacteristic
103#2367C2211yescharacteristic
104#2365C2211yescharacteristic, complemented
105#2358—21no—
106D4×C4⋊C4C2211yescharacteristic
107D4×C4⋊C4C2211yescharacteristic, complemented
108C4×#121C2211yescharacteristic
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic, complemented
111#2096C2211yescharacteristic, complemented
112#2094C2211yescharacteristic, complemented
113#2072C2211yescharacteristic, complemented
114#2071C2211yescharacteristic
115#2066C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2058C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2043C2211yescharacteristic, complemented
122#2042C2211yescharacteristic
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic
127#2035C2211yescharacteristic
128#2035C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2023C2211yescharacteristic
134#2023C2211yescharacteristic
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1987C2211yescharacteristic, complemented
144#1987C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic
147#1983C2211yescharacteristic, complemented
148#1982C2211yescharacteristic
149#1972C2211yescharacteristic, complemented
150#1970C2211yescharacteristic
151#1968C2211yescharacteristic, complemented
152#1959C2211yescharacteristic
153#1957C2211yescharacteristic
154#1955C2211yescharacteristic
155#1941C2211yescharacteristic, complemented
156#1940C2211yescharacteristic, complemented
157#1935C2211yescharacteristic, complemented
158#1934C2211yescharacteristic
159#1934C2211yescharacteristic
160#1934C2211yescharacteristic, complemented
161#1928C2211yescharacteristic, complemented
162#1927C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1925C2211yescharacteristic
165#1923C2211yescharacteristic
166#1923C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1892C2211yescharacteristic
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1872C2211yescharacteristic
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic
185#1853C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1809C2211yescharacteristic, complemented
188#1803C2211yescharacteristic, complemented
189#1802C2211yescharacteristic
190#1797C2211yescharacteristic, complemented
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200#1762C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×Q8—21no—
210C23×D4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#550—24no—
221#550—42no—
222#548—48no—
223#547—24no—
224#547—42no—
225#546—24no—
226#546—24no—
227#546—42no—
228#546—42no—
229#532—24no—
230#532—42no—
231C2×C4⋊Q8—24no—
232C2×C4⋊Q8—21no—
233C2×C4⋊Q8—21no—
234C2×C4⋊Q8—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×C4⋊Q8C2311yescharacteristic
240C2×#127—21no—
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#124—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121D411yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×C4×Q8—21no—
283C2×C4×Q8C2311yescharacteristic
284C2×C4×D4—21no—
285C2×C4×D4—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
297C22×C4⋊C4—21no—
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C22⋊C4—21no—
303C22×C22⋊C4—21no—
304C22×C42C2311yescharacteristic
305#489—24no—
306#489—24no—
307#489—24no—
308#489D418yescomplemented
309#487—24no—
310#487—24no—
311#486—24no—
312#486—24no—
313#483—24no—
314#481—24no—
315#476—24no—
316#476—42no—
317#469—24no—
318#469—24no—
319#465—24no—
320#463—24no—
321#463—42no—
322#449—24no—
323#449—42no—
324#449—42no—
325#447—24no—
326#442—24no—
327#436—42no—
328#435—24no—
329#435—42no—
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341#417—24no—
342#417—24no—
343#417—24no—
344#417—24no—
345#417—24no—
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#102—24no—
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
393C4×M16—24no—
394C2×#97C2311yescharacteristic
395C2×#97C2311yescharacteristic
396C2×#97C2311yescharacteristic
397C2×C4×C8C2311yescharacteristic
398C2×C4×C8C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400#399—21no—
401#399—21no—
402#399—21no—
403#398—21no—
404#398—21no—
405#398—21no—
406#397—21no—
407#397—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#395—21no—
412#395—21no—
413#394—21no—
414#394—21no—
415#394—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#393—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#391—21no—
433#391—21no—
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390D411yescharacteristic
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#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386D411yescharacteristic
474#386D411yescharacteristic
475#385—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#384C2311yescharacteristic
488#380D411yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
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—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—44no—
545C2×#41—44no—
546C2×#41—82no—
547C22×Q8—21no—
548C22×Q8—21no—
549C22×Q8—21no—
550C22×Q8—21no—
551C22×Q8—44no—
552C22×Q8—44no—
553C22×Q8—82no—
554C22×Q8C2411yescharacteristic
555C22×Q8C2411yescharacteristic
556C22×D4—21no—
557C22×D4—22no—
558C22×D4—22no—
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—21no—
572C22×D4—21no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4C2×D411yescharacteristic
595C23×C4C2×D411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C2×SD16—22no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×M16—22no—
615C2×M16—22no—
616C2×M16—22no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C22×C8—22no—
624C22×C8—41no—
625C22×C8—41no—
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C4⋊Q8—22no—
635C4⋊Q8—22no—
636C4⋊Q8—22no—
637C4⋊Q8—22no—
638C4⋊Q8—22no—
639C4⋊Q8—22no—
640C4⋊Q8—41no—
641C4⋊Q8—41no—
642C4⋊Q8—44no—
643C4⋊Q8—41no—
644C4⋊Q8—44no—
645C4⋊Q8C2×D414yes—
646#127—22no—
647#127—22no—
648#127—41no—
649#127—41no—
650#127—44no—
651#124—22no—
652#124—22no—
653#124—22no—
654#124—22no—
655#124—41no—
656#124—44no—
657#124—44no—
658#124—44no—
659#124C2×D414yes—
660#123—44no—
661#123—44no—
662#123—44no—
663#123—44no—
664C22⋊Q8—22no—
665C22⋊Q8—22no—
666C22⋊Q8—44no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—44no—
670C22⋊Q8—44no—
671C22⋊Q8—44no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—82no—
675#121—22no—
676#121—24no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—44no—
684#121—44no—
685#121—44no—
686#121—44no—
687#121—44no—
688#121—44no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—44no—
694#121—44no—
695#121—41no—
696#121—41no—
697#121—82no—
698#121#4114yescomplemented
699#120—44no—
700#120—44no—
701#120—44no—
702#120—82no—
703C4×Q8—22no—
704C4×Q8—41no—
705C4×Q8—44no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—44no—
718C4×D4—44no—
719C4×D4—41no—
720C4×D4—44no—
721C4×D4—44no—
722C4×D4—44no—
723C4×D4—44no—
724C4×D4—82no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—22no—
727C2×C4⋊C4—22no—
728C2×C4⋊C4—22no—
729C2×C4⋊C4—22no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
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—41no—
752C2×C4⋊C4—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—44no—
756C2×C4⋊C4C2×D411yescharacteristic
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
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⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—44no—
809C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C42—22no—
821C2×C42—22no—
822C2×C42—21no—
823C2×C42—21no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42C2×D411yescharacteristic
828C2×C42C2×D411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831C2×C42C2411yescharacteristic
832C2×C42C2411yescharacteristic
833#107—41no—
834#106—22no—
835#106—22no—
836#106—22no—
837#106—22no—
838#106—41no—
839#106—41no—
840C4⋊C8—22no—
841C4⋊C8—22no—
842C4⋊C8—41no—
843C4⋊C8—41no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—22no—
849#103—22no—
850#103—22no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103—41no—
855#103—41no—
856#103C2×D414yes—
857#103C2×D414yes—
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—41no—
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#102C2×D414yes—
881#102C2×D414yes—
882C22⋊C8—22no—
883C22⋊C8—22no—
884C22⋊C8—22no—
885C22⋊C8—22no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890#97—22no—
891#97—41no—
892#97C2×D414yes—
893C4×C8—22no—
894C4×C8—22no—
895C4×C8—41no—
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#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—42no—
925C24—42no—
926C24—42no—
927C24—81no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24C22×D411yescharacteristic
932C24C22×D411yescharacteristic
933C24C22×D411yescharacteristic
934#41—44no—
935#41—44no—
936#41—44no—
937#41—44no—
938#41—44no—
939#41—82no—
940#41—82no—
941#41—82no—
942#41—82no—
943#41—82no—
944#41—82no—
945#41—82no—
946#41—816no—
947C2×Q8—24no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—42no—
960C2×Q8—42no—
961C2×Q8—42no—
962C2×Q8—42no—
963C2×Q8—42no—
964C2×Q8—42no—
965C2×Q8—42no—
966C2×Q8—42no—
967C2×Q8—42no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8—816no—
971C2×Q8C22×D412yes—
972C2×D4—22no—
973C2×D4—22no—
974C2×D4—22no—
975C2×D4—22no—
976C2×D4—24no—
977C2×D4—22no—
978C2×D4—22no—
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—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—44no—
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—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4C22×D412yes—
1053C2×D4C2×#4112yes—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C2×#4112yes—
1130C22×C4H(5,𝔽2)12yes—
1131C22×C4C2511yescharacteristic
1132SD16—82no—
1133SD16—82no—
1134D8—44no—
1135D8—82no—
1136D8—82no—
1137M16—44no—
1138M16—44no—
1139M16—82no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—82no—
1163C2×C8C22×D412yes—
1164C2×C8C22×D412yes—
1165C4⋊C4—24no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—41no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4—81no—
1209C4⋊C4C22×D412yes—
1210C4⋊C4C22×D412yes—
1211C4⋊C4C2×#4112yes—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—24no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4AGL(1,ℤ/8)14yes—
1259C42—22no—
1260C42—22no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—42no—
1268C42—42no—
1269C42—42no—
1270C42—42no—
1271C42—81no—
1272C42C22×D412yes—
1273C42H(5,𝔽2)12yes—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—22no—
1289C23—21no—
1290C23—22no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23#54612yes—
1329C23C2×AGL(1,ℤ/8)12yes—
1330C23C23×D411yescharacteristic
1331Q8—22no—
1332Q8—22no—
1333Q8—48no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—84no—
1341Q8—84no—
1342Q8—84no—
1343D4—22no—
1344D4—22no—
1345D4—22no—
1346D4—22no—
1347D4—44no—
1348D4—44no—
1349D4—44no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—84no—
1363D4—84no—
1364D4—84no—
1365D4—84no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—84no—
1455C2×C4—84no—
1456C2×C4—84no—
1457C2×C4—84no—
1458C2×C4—84no—
1459C2×C4—84no—
1460C2×C4—84no—
1461C2×C4—84no—
1462C2×C4—162no—
1463C2×C4—162no—
1464C2×C4D4212yes—
1465C2×C4D4212yes—
1466C2×C4#54612yes—
1467C2×C4C2×AGL(1,ℤ/8)12yes—
1468C2×C4C2×AGL(1,ℤ/8)12yes—
1469C2×C4#57712yes—
1470C2×C4C23×D411yescharacteristic
1471C2×C4C22×#4111yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4#58511yescharacteristic
1475C2×C4#58511yescharacteristic
1476C8—22no—
1477C8—22no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—42no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—42no—
1504C22—42no—
1505C22—41no—
1506C22—41no—
1507C22—42no—
1508C22—41no—
1509C22—42no—
1510C22—42no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—168no—
1534C22C2×D4211yescharacteristic
1535C22C2×#54611yescharacteristic
1536C22#350011yescharacteristic
1537C22C22×AGL(1,ℤ/8)11yescharacteristic
1538C22C2×#57711yescharacteristic
1539C22#358511yescharacteristic
1540C22#358611yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—81no—
1557C4—81no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4—81no—
1562C4—81no—
1563C4—81no—
1564C4D4×#4111yescharacteristic
1565C4#348811yescharacteristic
1566C4#351411yescharacteristic
1567C4#355811yescharacteristic
1568C2—42no—
1569C2—42no—
1570C2—81no—
1571C2—82no—
1572C2—82no—
1573C2—161no—
1574C2—161no—
1575C2#5913111yescharacteristic
1576C2D4×AGL(1,ℤ/8)11yescharacteristic
1577C2#6107511yescharacteristic
1578C2#6116111yescharacteristic
1579C2#6120011yescharacteristic
1580C2#6254111yescharacteristic
1581C2#6256611yescharacteristic
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×#3306C2semidirect
2. C2×#3141C2semidirect
3. #59129C2semidirect
4. #59125C2semidirect
5. #30633C2semidirect
6. #30631C2semidirect
7. #30528C2semidirect
8. #30519C2semidirect
9. #28921C2semidirect
10. #28909C2semidirect
11. #28610C2semidirect
12. #28430C2semidirect
13. #27274C2semidirect
14. #27254C2semidirect
15. #25898C2semidirect
16. #25577C2semidirect
17. #25334C2semidirect
18. #25284C2semidirect
19. #25133C2semidirect
20. #25123C2semidirect
21. #24881C2semidirect
22. #24879C2semidirect
23. #24451C2semidirect
24. #24444C2semidirect
25. #24299C2semidirect
26. #24214C2semidirect
27. #23228C2semidirect
28. #22432C2semidirect
29. #22419C2semidirect
30. #21538C2semidirect
31. #21490C2semidirect
38. C22×C4⋊Q8C22semidirect
43. C2×#489C22semidirect
44. C2×#489C22semidirect
45. C2×#487C22semidirect
46. C2×#487C22semidirect
57. C2×#463C22semidirect
60. C2×#449C22semidirect
63. C2×#436C22semidirect
69. C2×#417C22semidirect
70. C2×#417C22semidirect
72. C2×C4×M16C22semidirect
79. #2542C22semidirect
82. #2491C22semidirect
88. #2440C22semidirect
99. #2416C22semidirect
104. #2365C22semidirect
107. D4×C4⋊C4C22semidirect
110. C4×#121C22semidirect
111. #2096C22semidirect
112. #2094C22semidirect
113. #2072C22semidirect
115. #2066C22semidirect
116. #2065C22semidirect
117. #2058C22semidirect
118. #2058C22semidirect
119. #2055C22semidirect
121. #2043C22semidirect
125. #2036C22semidirect
131. #2034C22semidirect
135. #2013C22semidirect
140. #2000C22semidirect
142. #1999C22semidirect
143. #1987C22semidirect
144. #1987C22semidirect
147. #1983C22semidirect
149. #1972C22semidirect
151. #1968C22semidirect
155. #1941C22semidirect
156. #1940C22semidirect
157. #1935C22semidirect
160. #1934C22semidirect
161. #1928C22semidirect
162. #1927C22semidirect
163. #1926C22semidirect
166. #1923C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
170. #1894C22semidirect
173. #1880C22semidirect
178. #1874C22semidirect
180. #1872C22semidirect
182. #1870C22semidirect
183. #1865C22semidirect
185. #1853C22semidirect
186. #1853C22semidirect
187. #1809C22semidirect
188. #1803C22semidirect
190. #1797C22semidirect
194. #1788C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
201. #1762C22semidirect
202. C4×#103C22semidirect
203. #1753C22semidirect
308. #489D4semidirect
698. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#33062
C2×#31412
#591292
#591252
#306332
#306312
#305282
#305192
#289212
#289092
#286102
#284302
#272742
#272542
#258982
#255772
#253342
#252842
#251332
#251232
#248812
#248792
#244512
#244442
#242992
#242142
#232282
#224322
#224192
#215382
#214902