Finite Group Databasebeta

← #7561296

Subgroups — #7561296

Order 512.

2722 conjugacy classes of subgroups.

The subgroup lattice has 1707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#59568C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#30874C211yesmaximal, characteristic, complemented
6#30749C211yesmaximal, characteristic, complemented
7#30568C211yesmaximal, characteristic, complemented
8#30412C211yesmaximal, characteristic, complemented
9#28905C211yesmaximal, characteristic, complemented
10#28578C211yesmaximal, characteristic, complemented
11#28307C211yesmaximal, characteristic, complemented
12#27224C211yesmaximal, characteristic, complemented
13#26939C211yesmaximal, characteristic, complemented
14#26392C211yesmaximal, characteristic, complemented
15#26164C211yesmaximal, characteristic, complemented
16#25554C211yesmaximal, characteristic, complemented
17#25419C211yesmaximal, characteristic, complemented
18#25243C211yesmaximal, characteristic, complemented
19#25160C211yesmaximal, characteristic, complemented
20#25148C211yesmaximal, characteristic, complemented
21#25139C211yesmaximal, characteristic, complemented
22#24448C211yesmaximal, characteristic, complemented
23#24444C211yesmaximal, characteristic, complemented
24#24044C211yesmaximal, characteristic, complemented
25#23860C211yesmaximal, characteristic, complemented
26#23848C211yesmaximal, characteristic, complemented
27#23118C211yesmaximal, characteristic, complemented
28#22868C211yesmaximal, characteristic, complemented
29C22⋊C4×D8C211yesmaximal, characteristic, complemented
30C4×#447C211yesmaximal, characteristic, complemented
31#20925C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#555C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic, complemented
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic, complemented
39C22×#121—21no—
40C22×C4×D4C2211yescharacteristic, complemented
41#3325—28no—
42#3264—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#486C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#476C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic
55C2×#459C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic, complemented
66C2×#442C2211yescharacteristic
67C2×C4×D8C2211yescharacteristic
68C2×C4×D8C2211yescharacteristic
69C2×C4×D8C2211yescharacteristic, complemented
70C2×#436C2211yescharacteristic, complemented
71C2×#435C2211yescharacteristic, complemented
72C2×#417C2211yescharacteristic, complemented
73C2×#418C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic, complemented
75#2856C2211yescharacteristic, complemented
76#2847—21no—
77#2688—21no—
78#2684—21no—
79#2557—21no—
80#2541C2211yescharacteristic, complemented
81#2537C2211yescharacteristic
82#2492C2211yescharacteristic, complemented
83#2485C2211yescharacteristic, complemented
84#2472—21no—
85#2470—21no—
86#2452C2211yescharacteristic, complemented
87#2447C2211yescharacteristic, complemented
88#2428C2211yescharacteristic
89#2428C2211yescharacteristic, complemented
90#2427—21no—
91#2427C2211yescharacteristic, complemented
92#2424—21no—
93#2424—21no—
94#2424—21no—
95#2416—21no—
96#2416C2211yescharacteristic
97#2416C2211yescharacteristic, complemented
98#2415C2211yescharacteristic, complemented
99#2410—21no—
100#2410—21no—
101#2408—21no—
102#2408C2211yescharacteristic, complemented
103#2407C2211yescharacteristic, complemented
104#2363C2211yescharacteristic, complemented
105D4×C4⋊C4C2211yescharacteristic, complemented
106#2342—21no—
107D4×C22⋊C4C2211yescharacteristic
108D4×C22⋊C4C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic, complemented
112#2297C2211yescharacteristic, complemented
113#2095C2211yescharacteristic, complemented
114#2094C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2058C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1970C2211yescharacteristic, complemented
146#1970C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1933C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1852C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4—21no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8—24no—
222C22×D8—24no—
223C22×D8—42no—
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#555—24no—
237#555—42no—
238#546—24no—
239#546—42no—
240D42—24no—
241D42—24no—
242D42—42no—
243D42—42no—
244D42—42no—
245D42—42no—
246C2×C4⋊Q8C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#124—21no—
251C2×#124—21no—
252C2×#124C2311yescharacteristic
253C2×#123—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
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×#121—21no—
271C2×#121—48no—
272C2×#121D411yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—42no—
294C2×C4×D4—42no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×#117—21no—
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4—21no—
311C22×C4⋊C4C2311yescharacteristic
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C42C2311yescharacteristic
318#496—24no—
319#486—24no—
320#482—24no—
321#482—24no—
322#482—42no—
323#476—24no—
324#469—24no—
325#469—24no—
326#469—24no—
327#468—42no—
328#465—24no—
329#463—24no—
330#459—24no—
331#459—24no—
332#450—24no—
333#450—42no—
334#449—24no—
335#449—42no—
336#447—24no—
337#447—24no—
338#447—24no—
339#447—42no—
340#447D418yescomplemented
341#442—24no—
342C4×D8—24no—
343C4×D8—42no—
344C4×D8—42no—
345#436—24no—
346#435—24no—
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357#418—24no—
358#418—24no—
359#417—42no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403C2×C4×C8C2311yescharacteristic
404#400—21no—
405#397—21no—
406#397—21no—
407#397—21no—
408#397—21no—
409#397—21no—
410#396—21no—
411#396—21no—
412#396—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#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390D411yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389D411yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388D411yescharacteristic
461#388D411yescharacteristic
462#387—21no—
463#386—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#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386D411yescharacteristic
480#386D411yescharacteristic
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#381—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380D411yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498#379—21no—
499#379—21no—
500#379—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4—21no—
507C4×C22⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531C25—21no—
532C25—21no—
533C25—21no—
534C25—21no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8—21no—
542C22×Q8C2411yescharacteristic
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—21no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—22no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—44no—
587C22×D4—44no—
588C22×D4—44no—
589C22×D4—44no—
590C22×D4—44no—
591C22×D4—44no—
592C22×D4—82no—
593C22×D4—82no—
594C22×D4—82no—
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
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×C4—44no—
617C23×C4—44no—
618C23×C4—82no—
619C23×C4C2×D411yescharacteristic
620C23×C4C2×D411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624AGL(1,ℤ/8)—416no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×D8—22no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—416no—
659C2×D8C2×D414yes—
660C2×D8C2×D414yescomplemented
661C2×D8#4114yes—
662C2×M16—22no—
663C2×M16—22no—
664C2×M16—22no—
665C2×M16—22no—
666C2×M16—41no—
667C2×M16—41no—
668C2×M16—41no—
669C2×M16—41no—
670C2×M16—41no—
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—41no—
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C4⋊Q8—22no—
683C4⋊Q8—41no—
684#127—22no—
685#127—22no—
686#127—41no—
687#127—41no—
688#127—41no—
689#127—41no—
690#124—22no—
691#124—41no—
692#124—44no—
693#124—44no—
694#123—44no—
695C22⋊Q8—22no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699C22⋊Q8—82no—
700#121—22no—
701#121—24no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—44no—
713#121—44no—
714#121—41no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—44no—
721#121—44no—
722#121—44no—
723#121—44no—
724#121—44no—
725#121—44no—
726#121—44no—
727#121—44no—
728#121—44no—
729#121—44no—
730#121—82no—
731#121—82no—
732#121C2×D414yescomplemented
733#120—44no—
734#120—44no—
735#120—44no—
736#120—44no—
737#120—44no—
738#120—44no—
739#120—44no—
740#120—82no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—41no—
763C4×D4—41no—
764C4×D4—41no—
765C4×D4—44no—
766C4×D4—44no—
767C4×D4—82no—
768#117—22no—
769#117—22no—
770#117—22no—
771#117—44no—
772#117—41no—
773C2×C4⋊C4—22no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—41no—
786C2×C4⋊C4—44no—
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2×D411yescharacteristic
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊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—44no—
847C2×C22⋊C4—44no—
848C2×C22⋊C4—44no—
849C2×C22⋊C4—44no—
850C2×C22⋊C4—44no—
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C42—21no—
862C2×C42—21no—
863C2×C42—21no—
864C2×C42—41no—
865C2×C42—41no—
866C2×C42C2×D411yescharacteristic
867C2×C42C2×D411yescharacteristic
868C2×C42C2411yescharacteristic
869C2×C42C2411yescharacteristic
870C2×C42C2411yescharacteristic
871C2×C42C2411yescharacteristic
872#107—22no—
873#107—22no—
874#107—41no—
875#107—41no—
876#106—22no—
877#106—22no—
878#106—22no—
879#106—41no—
880C4⋊C8—22no—
881C4⋊C8—22no—
882#103—22no—
883#103—22no—
884#103—41no—
885#103—41no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102C2×D414yes—
913#102C2×D414yescomplemented
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—22no—
918C22⋊C8—41no—
919C22⋊C8—41no—
920C22⋊C8—41no—
921C22⋊C8C2×D414yescomplemented
922#97—22no—
923C4×C8—22no—
924C4×C8—41no—
925C4×C8—41no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947#95C2×D411yescharacteristic
948#95C2×D411yescharacteristic
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—24no—
954C24—21no—
955C24—21no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24C22×D411yescharacteristic
984C24C22×D411yescharacteristic
985C24C22×D411yescharacteristic
986#41—44no—
987#41—44no—
988#41—82no—
989#41—82no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—42no—
997C2×Q8—81no—
998C2×Q8—81no—
999C2×D4—28no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—24no—
1005C2×D4—24no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—816no—
1104C2×D4—81no—
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—816no—
1116C2×D4—816no—
1117C2×D4C22×D412yes—
1118C2×D4C22×D412yes—
1119C2×D4C22×D412yes—
1120C2×D4C2×#4112yes—
1121C2×D4C2×#4112yes—
1122C2×D4H(5,𝔽2)12yes—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—24no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
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—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—42no—
1157C22×C4—42no—
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—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
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—816no—
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D412yes—
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4H(5,𝔽2)12yes—
1202C22×C4C2511yescharacteristic
1203SD16—44no—
1204SD16—44no—
1205SD16—82no—
1206SD16—82no—
1207D8—28no—
1208D8—28no—
1209D8—44no—
1210D8—44no—
1211D8—44no—
1212D8—44no—
1213D8—82no—
1214D8—82no—
1215M16—44no—
1216M16—82no—
1217M16—82no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—44no—
1240C2×C8C22×D412yes—
1241C2×C8C22×D412yes—
1242C2×C8C2×#4112yes—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—81no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4—81no—
1275C4⋊C4C22×D412yes—
1276C4⋊C4H(5,𝔽2)12yes—
1277C22⋊C4—24no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—24no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4AGL(1,ℤ/8)14yescomplemented
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—21no—
1339C42—21no—
1340C42—41no—
1341C42—41no—
1342C42—42no—
1343C42—42no—
1344C42—81no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—22no—
1351C23—21no—
1352C23—21no—
1353C23—22no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—22no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—48no—
1371C23—48no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—84no—
1409C23—84no—
1410C23—84no—
1411C23—84no—
1412C23—84no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—84no—
1424C23—162no—
1425C23—162no—
1426C23—162no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23D4212yes—
1435C23C2×AGL(1,ℤ/8)12yes—
1436C23C23×D411yescharacteristic
1437Q8—41no—
1438Q8—41no—
1439Q8—41no—
1440Q8—41no—
1441Q8—162no—
1442D4—22no—
1443D4—22no—
1444D4—22no—
1445D4—22no—
1446D4—22no—
1447D4—22no—
1448D4—22no—
1449D4—22no—
1450D4—22no—
1451D4—48no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—162no—
1484D4—162no—
1485D4—162no—
1486D4—162no—
1487D4—162no—
1488D4#54614yes—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
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—44no—
1525C2×C4—48no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—82no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—162no—
1572C2×C4—162no—
1573C2×C4D4212yes—
1574C2×C4C2×AGL(1,ℤ/8)12yes—
1575C2×C4C2×AGL(1,ℤ/8)12yes—
1576C2×C4#57612yes—
1577C2×C4C23×D411yescharacteristic
1578C2×C4C22×#4111yescharacteristic
1579C2×C4C2×H(5,𝔽2)11yescharacteristic
1580C2×C4C2×H(5,𝔽2)11yescharacteristic
1581C2×C4C2×H(5,𝔽2)11yescharacteristic
1582C2×C4#58511yescharacteristic
1583C8—22no—
1584C8—22no—
1585C8—22no—
1586C8—41no—
1587C8—41no—
1588C8—41no—
1589C8—41no—
1590C8—41no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—24no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—816no—
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—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—168no—
1656C22—168no—
1657C22—168no—
1658C22C2×D4211yescharacteristic
1659C22D4×#4111yescharacteristic
1660C22#348411yescharacteristic
1661C22C22×AGL(1,ℤ/8)11yescharacteristic
1662C22C2×#57611yescharacteristic
1663C22#358411yescharacteristic
1664C22#358511yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4—81no—
1684C4—81no—
1685C4—81no—
1686C4C2×#54611yescharacteristic
1687C4#349611yescharacteristic
1688C4#351911yescharacteristic
1689C4#353411yescharacteristic
1690C2—42no—
1691C2—42no—
1692C2—44no—
1693C2—81no—
1694C2—82no—
1695C2—82no—
1696C2—82no—
1697C2—161no—
1698C2—161no—
1699C2#5912311yescharacteristic
1700C2D4×AGL(1,ℤ/8)11yescharacteristic
1701C2#6108411yescharacteristic
1702C2#6143711yescharacteristic
1703C2#6153911yescharacteristic
1704C2#6159111yescharacteristic
1705C2#6162511yescharacteristic
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×#3325C2semidirect
2. C2×#3264C2semidirect
3. #59568C2semidirect
4. D4×#121C2semidirect
5. #30874C2semidirect
6. #30749C2semidirect
7. #30568C2semidirect
8. #30412C2semidirect
9. #28905C2semidirect
10. #28578C2semidirect
11. #28307C2semidirect
12. #27224C2semidirect
13. #26939C2semidirect
14. #26392C2semidirect
15. #26164C2semidirect
16. #25554C2semidirect
17. #25419C2semidirect
18. #25243C2semidirect
19. #25160C2semidirect
20. #25148C2semidirect
21. #25139C2semidirect
22. #24448C2semidirect
23. #24444C2semidirect
24. #24044C2semidirect
25. #23860C2semidirect
26. #23848C2semidirect
27. #23118C2semidirect
28. #22868C2semidirect
29. C22⋊C4×D8C2semidirect
30. C4×#447C2semidirect
31. #20925C2semidirect
34. C2×#555C22semidirect
35. C2×#546C22semidirect
38. C2×D42C22semidirect
40. C22×C4×D4C22semidirect
43. C2×#496C22semidirect
44. C2×#486C22semidirect
45. C2×#482C22semidirect
46. C2×#482C22semidirect
47. C2×#482C22semidirect
48. C2×#476C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#465C22semidirect
55. C2×#459C22semidirect
56. C2×#459C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
60. C2×#450C22semidirect
64. C2×#447C22semidirect
65. C2×#447C22semidirect
69. C2×C4×D8C22semidirect
70. C2×#436C22semidirect
71. C2×#435C22semidirect
72. C2×#417C22semidirect
73. C2×#418C22semidirect
74. C2×#418C22semidirect
75. #2856C22semidirect
80. #2541C22semidirect
82. #2492C22semidirect
83. #2485C22semidirect
86. #2452C22semidirect
87. #2447C22semidirect
89. #2428C22semidirect
91. #2427C22semidirect
97. #2416C22semidirect
98. #2415C22semidirect
102. #2408C22semidirect
103. #2407C22semidirect
104. #2363C22semidirect
105. D4×C4⋊C4C22semidirect
108. D4×C22⋊C4C22semidirect
109. D4×C22⋊C4C22semidirect
111. C4×#121C22semidirect
112. #2297C22semidirect
113. #2095C22semidirect
114. #2094C22semidirect
115. #2087C22semidirect
116. #2084C22semidirect
117. #2077C22semidirect
118. #2071C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2058C22semidirect
122. #2055C22semidirect
123. #2042C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2023C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1970C22semidirect
146. #1970C22semidirect
147. #1970C22semidirect
148. #1968C22semidirect
149. #1968C22semidirect
150. #1943C22semidirect
151. #1936C22semidirect
152. #1933C22semidirect
153. #1926C22semidirect
154. #1926C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
162. #1893C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1874C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1852C22semidirect
193. #1808C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. C4×#102C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. C8×C22⋊C4C22semidirect
202. C4×C22⋊C8C22semidirect
203. #1736C22semidirect
204. #1728C22semidirect
340. #447D4semidirect
660. C2×D8C2×D4semidirect
732. #121C2×D4semidirect
913. #102C2×D4semidirect
921. C22⋊C8C2×D4semidirect
1331. 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×#33252
C2×#32642
#595682
D4×#1212
#308742
#307492
#305682
#304122
#289052
#285782
#283072
#272242
#269392
#263922
#261642
#255542
#254192
#252432
#251602
#251482
#251392
#244482
#244442
#240442
#238602
#238482
#231182
#228682
C22⋊C4×D82
C4×#4472
#209252