Finite Group Databasebeta

← #6535719

Subgroups — #6535719

Order 512.

2728 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#36124C211yesmaximal, characteristic, complemented
4#34310C211yesmaximal, characteristic, complemented
5#29800C211yesmaximal, characteristic, complemented
6#29718C211yesmaximal, characteristic, complemented
7#29718C211yesmaximal, characteristic, complemented
8#28579C211yesmaximal, characteristic, complemented
9#28573C211yesmaximal, characteristic, complemented
10#28450C211yesmaximal, characteristic, complemented
11#28158C211yesmaximal, characteristic, complemented
12#25378C211yesmaximal, characteristic, complemented
13#25376C211yesmaximal, characteristic, complemented
14#25094C211yesmaximal, characteristic, complemented
15#25092C211yesmaximal, characteristic, complemented
16#25078C211yesmaximal, characteristic, complemented
17#25076C211yesmaximal, characteristic, complemented
18#24640C211yesmaximal, characteristic, complemented
19#24638C211yesmaximal, characteristic, complemented
20#24367C211yesmaximal, characteristic, complemented
21#24366C211yesmaximal, characteristic, complemented
22#24358C211yesmaximal, characteristic, complemented
23#24354C211yesmaximal, characteristic, complemented
24#24215C211yesmaximal, characteristic, complemented
25#24210C211yesmaximal, characteristic, complemented
26#23686C211yesmaximal, characteristic, complemented
27#23428C211yesmaximal, characteristic, complemented
28C2×#2012C211yesmaximal, characteristic, complemented
29#22698C211yesmaximal, characteristic, complemented
30#22421C211yesmaximal, characteristic, complemented
31#22419C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic
35C23×D8C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#532C2211yescharacteristic, complemented
40C22×#124C2211yescharacteristic, complemented
41C2×#518—21no—
42#3265—28no—
43#3264—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic, complemented
46C2×#469C2211yescharacteristic
47C2×#468C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic
49C2×#465C2211yescharacteristic
50C2×#460C2211yescharacteristic, complemented
51C2×#463C2211yescharacteristic
52C2×#463C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#461C2211yescharacteristic, complemented
56C2×#461C2211yescharacteristic, complemented
57C2×#461C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#442C2211yescharacteristic
71C2×#440C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic
73C2×#435C2211yescharacteristic
74C2×#417C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic, complemented
76C22×#103C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78#2858C2211yescharacteristic, complemented
79#2850C2211yescharacteristic, complemented
80#2850C2211yescharacteristic, complemented
81#2555—21no—
82#2555—21no—
83#2545C2211yescharacteristic, complemented
84#2544C2211yescharacteristic, complemented
85#2461—21no—
86#2461—21no—
87#2434C2211yescharacteristic, complemented
88#2433C2211yescharacteristic, complemented
89#2432C2211yescharacteristic, complemented
90#2431C2211yescharacteristic, complemented
91#2424—21no—
92#2424—21no—
93#2366C2211yescharacteristic, complemented
94#2363—21no—
95#2361C2211yescharacteristic
96#2361C2211yescharacteristic, complemented
97#2358—21no—
98#2358—21no—
99#2358—21no—
100#2358—21no—
101#2354C2211yescharacteristic, complemented
102D4×C4⋊C4C2211yescharacteristic
103D4×C22⋊C4—21no—
104D4×C22⋊C4C2211yescharacteristic
105D4×C22⋊C4C2211yescharacteristic, complemented
106#2324—21no—
107#2321—21no—
108#2321—21no—
109C4×#127C2211yescharacteristic, complemented
110C4×#124C2211yescharacteristic, complemented
111C4×#121C2211yescharacteristic
112C4×#121C2211yescharacteristic, complemented
113#2293C2211yescharacteristic, complemented
114C2×#390C2211yescharacteristic
115C2×#390C2211yescharacteristic, complemented
116C42×D4C2211yescharacteristic
117#2085C2211yescharacteristic, complemented
118#2073C2211yescharacteristic, complemented
119#2073C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic
129#2054C2211yescharacteristic
130#2054C2211yescharacteristic, complemented
131#2054C2211yescharacteristic, complemented
132#2054C2211yescharacteristic, complemented
133#2043C2211yescharacteristic, complemented
134#2042C2211yescharacteristic, complemented
135#2042C2211yescharacteristic, complemented
136#2042C2211yescharacteristic, complemented
137#2041C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2011C2211yescharacteristic
155#2011C2211yescharacteristic
156#2011C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1981C2211yescharacteristic, complemented
163#1959C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1940C2211yescharacteristic, complemented
166#1940C2211yescharacteristic, complemented
167#1928C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1894C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1892C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1831C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1767C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1728C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C22×SD16—24no—
219C22×SD16—42no—
220C22×SD16—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8—24no—
231C22×D8—42no—
232C22×D8—42no—
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C23×C8C2311yescharacteristic
245C23×C8C2311yescharacteristic
246#548—24no—
247#548—24no—
248#546—24no—
249#546—24no—
250D42—24no—
251D42D418yescomplemented
252#532—42no—
253#532—42no—
254C2×C4⋊Q8C2311yescharacteristic
255C2×C4⋊Q8C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#124—21no—
260C2×#124—21no—
261C2×#124—21no—
262C2×#124—42no—
263C2×#124—42no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#123—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289#518—48no—
290C2×C4×Q8C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4D411yescharacteristic
303C2×C4×D4D411yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×#117—21no—
312C2×#117—21no—
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318C22×C22⋊C4—21no—
319C22×C22⋊C4—21no—
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326#496—24no—
327#496—24no—
328#469—24no—
329#468—24no—
330#466—24no—
331#465—24no—
332#463—24no—
333#463—24no—
334#463—42no—
335#463—42no—
336#461—42no—
337#461—42no—
338#461—42no—
339#460—24no—
340#459—24no—
341#459—42no—
342#459—42no—
343#459—42no—
344#450—24no—
345#450—24no—
346#449—24no—
347#449—24no—
348#448—24no—
349#447—24no—
350#447—24no—
351#447—24no—
352#442—24no—
353#440—24no—
354#435—24no—
355#435—24no—
356C2×#107C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366#417—42no—
367#417—42no—
368C2×#103—42no—
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#102—42no—
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412#396—21no—
413#396—21no—
414#395—21no—
415#395—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#391C2311yescharacteristic
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#389—21no—
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#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#384C2311yescharacteristic
495#382C2311yescharacteristic
496#380—21no—
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500#379—21no—
501C4×C4⋊C4D411yescharacteristic
502C4×C4⋊C4D411yescharacteristic
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4—21no—
512C4×C22⋊C4D411yescharacteristic
513C4×C22⋊C4D411yescharacteristic
514C4×C22⋊C4D411yescharacteristic
515C4×C22⋊C4D411yescharacteristic
516C4×C22⋊C4C2311yescharacteristic
517C4×C22⋊C4C2311yescharacteristic
518C43C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537C25—21no—
538C25—21no—
539C25—21no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C22×Q8—21no—
553C22×Q8—22no—
554C22×Q8—22no—
555C22×Q8—22no—
556C22×Q8—41no—
557C22×Q8—41no—
558C22×Q8—41no—
559C22×Q8C2411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—28no—
565C22×D4—22no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D414yes—
598C22×D4C2×D414yes—
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4C2×D411yescharacteristic
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622AGL(1,ℤ/8)—416no—
623AGL(1,ℤ/8)—416no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—416no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—416no—
680C2×M16—22no—
681C2×M16—22no—
682C2×M16—22no—
683C2×M16—22no—
684C2×M16—41no—
685C2×M16—41no—
686C22×C8—22no—
687C22×C8—22no—
688C22×C8—22no—
689C22×C8—22no—
690C22×C8—41no—
691C22×C8—41no—
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C4⋊Q8—22no—
701C4⋊Q8—41no—
702C4⋊Q8—41no—
703C4⋊Q8—41no—
704#127—22no—
705#127—22no—
706#127—41no—
707#127—41no—
708#127—41no—
709#127C2×D414yes—
710#124—22no—
711#124—22no—
712#124—22no—
713#124—22no—
714#124—22no—
715#124—22no—
716#124—22no—
717#124—22no—
718#124—41no—
719#124—41no—
720#124—41no—
721#124—41no—
722#124—41no—
723#124—41no—
724#124—44no—
725#124—44no—
726#124—44no—
727#123—44no—
728C22⋊Q8—22no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—22no—
732C22⋊Q8—44no—
733#121—22no—
734#121—22no—
735#121—28no—
736#121—22no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—44no—
741#121—44no—
742#121—44no—
743#121—44no—
744#121C2×D414yes—
745#121C2×D414yes—
746#120—28no—
747#120—28no—
748#120—44no—
749#120—44no—
750#120—44no—
751C4×Q8—22no—
752C4×Q8—22no—
753C4×D4—24no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—44no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—41no—
763C4×D4—41no—
764C4×D4—41no—
765C4×D4—41no—
766C4×D4—42no—
767C4×D4—44no—
768C4×D4—44no—
769C4×D4—44no—
770C4×D4—44no—
771C4×D4—44no—
772C4×D4—44no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4—44no—
776C4×D4—82no—
777C4×D4C2×D414yes—
778C4×D4C2×D414yes—
779C4×D4#4114yes—
780#117—44no—
781#117—44no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—41no—
796C2×C4⋊C4—41no—
797C2×C4⋊C4—41no—
798C2×C4⋊C4—41no—
799C2×C4⋊C4C2×D411yescharacteristic
800C2×C4⋊C4C2×D411yescharacteristic
801C2×C4⋊C4C2×D411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—44no—
866C2×C22⋊C4—82no—
867C2×C22⋊C4—82no—
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42—21no—
878C2×C42—41no—
879C2×C42—41no—
880C2×C42—41no—
881C2×C42—41no—
882C2×C42C2×D411yescharacteristic
883C2×C42C2×D411yescharacteristic
884C2×C42C2×D411yescharacteristic
885C2×C42C2×D411yescharacteristic
886C2×C42C2×D411yescharacteristic
887C2×C42C2×D411yescharacteristic
888C2×C42C2×D411yescharacteristic
889C2×C42C2×D411yescharacteristic
890C2×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892C2×C42C2411yescharacteristic
893C2×C42C2411yescharacteristic
894C2×C42C2411yescharacteristic
895#107—22no—
896#106—22no—
897C4⋊C8—22no—
898C4⋊C8—22no—
899C4⋊C8—22no—
900C4⋊C8—22no—
901C4⋊C8—41no—
902C4⋊C8—41no—
903C4⋊C8—41no—
904C4⋊C8—41no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945#97—22no—
946#97—22no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965#95C2×D411yescharacteristic
966#95C2×D411yescharacteristic
967#95C2×D411yescharacteristic
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—24no—
973C24—24no—
974C24—21no—
975C24—21no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24C22×D411yescharacteristic
996C24C22×D411yescharacteristic
997#41—44no—
998#41—44no—
999#41—44no—
1000#41—44no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004#41—82no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—42no—
1023C2×Q8—44no—
1024C2×Q8—44no—
1025C2×Q8—42no—
1026C2×Q8—81no—
1027C2×Q8—82no—
1028C2×Q8—82no—
1029C2×Q8H(5,𝔽2)12yes—
1030C2×D4—22no—
1031C2×D4—22no—
1032C2×D4—24no—
1033C2×D4—24no—
1034C2×D4—24no—
1035C2×D4—24no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—432no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4#12114yes—
1123C2×D4C22×D412yes—
1124C2×D4C22×D412yes—
1125C2×D4C22×D412yes—
1126C2×D4H(5,𝔽2)12yes—
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—22no—
1138C22×C4—22no—
1139C22×C4—24no—
1140C22×C4—22no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—81no—
1174C22×C4—81no—
1175C22×C4—81no—
1176C22×C4—81no—
1177C22×C4—81no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D412yes—
1201C22×C4C22×D412yes—
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C2×#4112yes—
1205C22×C4C2×#4112yes—
1206C22×C4C2511yescharacteristic
1207SD16—28no—
1208SD16—44no—
1209SD16—44no—
1210SD16—44no—
1211SD16—44no—
1212SD16—44no—
1213SD16—44no—
1214SD16—82no—
1215SD16—82no—
1216D8—28no—
1217D8—44no—
1218D8—44no—
1219D8—44no—
1220D8—44no—
1221D8—44no—
1222D8—44no—
1223D8—82no—
1224D8—82no—
1225M16—44no—
1226M16—44no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—44no—
1250C2×C8—44no—
1251C2×C8H(5,𝔽2)12yes—
1252C2×C8H(5,𝔽2)12yes—
1253C4⋊C4—22no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—81no—
1277C4⋊C4—81no—
1278C4⋊C4—81no—
1279C4⋊C4—81no—
1280C4⋊C4—81no—
1281C4⋊C4#12114yes—
1282C4⋊C4C22×D412yes—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—22no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4#12114yes—
1337C22⋊C4#12114yes—
1338C22⋊C4AGL(1,ℤ/8)14yescomplemented
1339C42—22no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—21no—
1347C42—21no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—41no—
1355C42—42no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42C22×D412yes—
1360C42C2×#4112yes—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—48no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—48no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—84no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—162no—
1424C23—162no—
1425C23—162no—
1426C23—162no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23C2×#12112yes—
1435C23C2×#12112yes—
1436C23C2×AGL(1,ℤ/8)12yes—
1437C23#57512yes—
1438C23C23×D411yescharacteristic
1439Q8—22no—
1440Q8—22no—
1441Q8—41no—
1442Q8—41no—
1443Q8—41no—
1444Q8—41no—
1445Q8—41no—
1446Q8—41no—
1447Q8—41no—
1448Q8—41no—
1449Q8—41no—
1450Q8—41no—
1451Q8—84no—
1452D4—28no—
1453D4—22no—
1454D4—22no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—22no—
1460D4—22no—
1461D4—48no—
1462D4—48no—
1463D4—48no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488D4—84no—
1489D4—162no—
1490D4—162no—
1491D4—162no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—48no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—82no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—84no—
1568C2×C4—162no—
1569C2×C4—162no—
1570C2×C4—162no—
1571C2×C4—162no—
1572C2×C4—162no—
1573C2×C4—162no—
1574C2×C4—162no—
1575C2×C4C2×#12112yes—
1576C2×C4C2×#12112yes—
1577C2×C4C2×#12112yes—
1578C2×C4C2×#12112yes—
1579C2×C4C2×AGL(1,ℤ/8)12yes—
1580C2×C4C2×AGL(1,ℤ/8)12yes—
1581C2×C4C23×D411yescharacteristic
1582C2×C4C22×#4111yescharacteristic
1583C2×C4C2×H(5,𝔽2)11yescharacteristic
1584C2×C4C2×H(5,𝔽2)11yescharacteristic
1585C2×C4C2×H(5,𝔽2)11yescharacteristic
1586C2×C4C2×H(5,𝔽2)11yescharacteristic
1587C8—22no—
1588C8—22no—
1589C8—41no—
1590C8—41no—
1591C8—41no—
1592C8—41no—
1593C8—41no—
1594C8—41no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—168no—
1651C22—168no—
1652C22—168no—
1653C22#303614yes—
1654C22C22×#12111yescharacteristic
1655C22#348411yescharacteristic
1656C22#349811yescharacteristic
1657C22C22×AGL(1,ℤ/8)11yescharacteristic
1658C22C2×#57511yescharacteristic
1659C22#358411yescharacteristic
1660C22#358511yescharacteristic
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—81no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4#348411yescharacteristic
1684C4#348411yescharacteristic
1685C4#351911yescharacteristic
1686C4#351911yescharacteristic
1687C2—24no—
1688C2—42no—
1689C2—82no—
1690C2—82no—
1691C2—82no—
1692C2—82no—
1693C2—161no—
1694C2—161no—
1695C2#3569111yescharacteristic
1696C2C2×#303611yescharacteristic
1697C2#6043011yescharacteristic
1698C2#6157911yescharacteristic
1699C2#6159811yescharacteristic
1700C2#6242811yescharacteristic
1701C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3264C2semidirect
3. #36124C2semidirect
4. #34310C2semidirect
5. #29800C2semidirect
6. #29718C2semidirect
7. #29718C2semidirect
8. #28579C2semidirect
9. #28573C2semidirect
10. #28450C2semidirect
11. #28158C2semidirect
12. #25378C2semidirect
13. #25376C2semidirect
14. #25094C2semidirect
15. #25092C2semidirect
16. #25078C2semidirect
17. #25076C2semidirect
18. #24640C2semidirect
19. #24638C2semidirect
20. #24367C2semidirect
21. #24366C2semidirect
22. #24358C2semidirect
23. #24354C2semidirect
24. #24215C2semidirect
25. #24210C2semidirect
26. #23686C2semidirect
27. #23428C2semidirect
28. C2×#2012C2semidirect
29. #22698C2semidirect
30. #22421C2semidirect
31. #22419C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
39. C2×#532C22semidirect
40. C22×#124C22semidirect
45. C2×#496C22semidirect
47. C2×#468C22semidirect
50. C2×#460C22semidirect
52. C2×#463C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#461C22semidirect
56. C2×#461C22semidirect
57. C2×#461C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
61. C2×#459C22semidirect
63. C2×#449C22semidirect
66. C2×#450C22semidirect
71. C2×#440C22semidirect
74. C2×#417C22semidirect
75. C2×#417C22semidirect
76. C22×#103C22semidirect
77. C22×#102C22semidirect
78. #2858C22semidirect
79. #2850C22semidirect
80. #2850C22semidirect
83. #2545C22semidirect
84. #2544C22semidirect
87. #2434C22semidirect
88. #2433C22semidirect
89. #2432C22semidirect
90. #2431C22semidirect
93. #2366C22semidirect
96. #2361C22semidirect
101. #2354C22semidirect
105. D4×C22⋊C4C22semidirect
109. C4×#127C22semidirect
110. C4×#124C22semidirect
112. C4×#121C22semidirect
113. #2293C22semidirect
115. C2×#390C22semidirect
117. #2085C22semidirect
118. #2073C22semidirect
119. #2073C22semidirect
120. #2073C22semidirect
121. #2067C22semidirect
122. #2066C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
130. #2054C22semidirect
131. #2054C22semidirect
132. #2054C22semidirect
133. #2043C22semidirect
134. #2042C22semidirect
135. #2042C22semidirect
136. #2042C22semidirect
137. #2041C22semidirect
138. #2013C22semidirect
139. #2013C22semidirect
140. #2013C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
156. #2011C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1981C22semidirect
163. #1959C22semidirect
164. #1959C22semidirect
165. #1940C22semidirect
166. #1940C22semidirect
167. #1928C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1895C22semidirect
172. #1894C22semidirect
173. #1893C22semidirect
174. #1892C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1872C22semidirect
187. #1851C22semidirect
188. #1851C22semidirect
189. #1850C22semidirect
190. #1850C22semidirect
191. #1831C22semidirect
192. #1803C22semidirect
193. #1802C22semidirect
194. #1797C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1767C22semidirect
201. #1763C22semidirect
202. #1762C22semidirect
203. #1728C22semidirect
204. C2×#336C22semidirect
251. D42D4semidirect
1338. C22⋊C4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#32642
#361242
#343102
#298002
#297182
#285792
#285732
#284502
#281582
#253782
#253762
#250942
#250922
#250782
#250762
#246402
#246382
#243672
#243662
#243582
#243542
#242152
#242102
#236862
#234282
C2×#20122
#226982
#224212
#224192