Finite Group Databasebeta

← #6682754

Subgroups — #6682754

Order 512.

2663 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#39358C211yesmaximal, characteristic, complemented
4#36218C211yesmaximal, characteristic, complemented
5#32904C211yesmaximal, characteristic, complemented
6#30761C211yesmaximal, characteristic, complemented
7#30743C211yesmaximal, characteristic, complemented
8#30615C211yesmaximal, characteristic, complemented
9#30597C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30424C211yesmaximal, characteristic, complemented
13#30408C211yesmaximal, characteristic, complemented
14#30245C211yesmaximal, characteristic, complemented
15#29718C211yesmaximal, characteristic, complemented
16#28567C211yesmaximal, characteristic, complemented
17#28559C211yesmaximal, characteristic, complemented
18#26178C211yesmaximal, characteristic, complemented
19#26162C211yesmaximal, characteristic, complemented
20#24911C211yesmaximal, characteristic, complemented
21#24893C211yesmaximal, characteristic, complemented
22#24454C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24372C211yesmaximal, characteristic, complemented
27#24354C211yesmaximal, characteristic, complemented
28#23861C211yesmaximal, characteristic, complemented
29#23851C211yesmaximal, characteristic, complemented
30#22174C211yesmaximal, characteristic, complemented
31#20928C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic, complemented
40C2×#534—21no—
41C2×C4×#41C2211yescharacteristic, complemented
42#3272—28no—
43#3264—28no—
44C2×#496C2211yescharacteristic
45C2×#492C2211yescharacteristic, complemented
46C2×#469C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#460C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#461C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic, complemented
71C2×C4×D8C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76#2856C2211yescharacteristic, complemented
77#2854—21no—
78#2850C2211yescharacteristic, complemented
79#2682—21no—
80#2679—21no—
81#2678—21no—
82#2678—21no—
83#2617—21no—
84#2545C2211yescharacteristic, complemented
85#2543—21no—
86#2536C2211yescharacteristic, complemented
87#2534—21no—
88#2445C2211yescharacteristic, complemented
89#2445C2211yescharacteristic, complemented
90#2433C2211yescharacteristic
91#2433C2211yescharacteristic, complemented
92#2429C2211yescharacteristic, complemented
93#2426C2211yescharacteristic, complemented
94#2425—21no—
95#2424—21no—
96#2422C2211yescharacteristic
97#2422C2211yescharacteristic, complemented
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic, complemented
100#2415C2211yescharacteristic, complemented
101#2414C2211yescharacteristic, complemented
102#2413—21no—
103#2411—21no—
104#2410—21no—
105#2410—21no—
106#2408C2211yescharacteristic
107#2408C2211yescharacteristic
108#2349C2211yescharacteristic, complemented
109#2339C2211yescharacteristic, complemented
110D4×C22⋊C4C2211yescharacteristic, complemented
111C4×#121C2211yescharacteristic
112C2×#390C2211yescharacteristic, complemented
113C2×#388—21no—
114#2096C2211yescharacteristic, complemented
115#2093C2211yescharacteristic, complemented
116#2092C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2088C2211yescharacteristic, complemented
119#2087C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2075C2211yescharacteristic, complemented
122#2073C2211yescharacteristic, complemented
123#2073C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2043C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2033C2211yescharacteristic
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1892C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1803C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
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—
218C2×AGL(1,ℤ/8)D418yescomplemented
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8—24no—
228C22×D8—42no—
229C22×D8—42no—
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C23×C8C2311yescharacteristic
242#547—24no—
243#547—42no—
244#546—24no—
245#546—42no—
246#546—42no—
247#546—42no—
248D42—24no—
249D42—24no—
250D42—42no—
251D42—42no—
252#534—48no—
253C2×C4⋊Q8C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#124C2311yescharacteristic
258C2×#124C2311yescharacteristic
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×#123—21no—
263C2×#123—21no—
264C2×#123—21no—
265C2×#123—21no—
266C2×#123—21no—
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121D411yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C4×#41—42no—
302C4×#41—42no—
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117—21no—
317C2×#117C2311yescharacteristic
318C22×C4⋊C4—21no—
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325C22×C42—21no—
326C22×C42C2311yescharacteristic
327#496—24no—
328#492—24no—
329#469—24no—
330#469—42no—
331#468—24no—
332#468—24no—
333#468—42no—
334#465—24no—
335#463—24no—
336#461—24no—
337#460—42no—
338#459—24no—
339#459—24no—
340#459—42no—
341#450—24no—
342#450—24no—
343#450—24no—
344#450—42no—
345#449—24no—
346#449—24no—
347#449—24no—
348#449—42no—
349#447—24no—
350#447—24no—
351#447—42no—
352#447—42no—
353#442—24no—
354C4×D8—24no—
355#436—24no—
356#435—24no—
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365#418—42no—
366#417—42no—
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#398—21no—
410#398—21no—
411#397—21no—
412#397—21no—
413#397—21no—
414#396—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390D411yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389—21no—
461#389—21no—
462#389D411yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388D411yescharacteristic
478#388D411yescharacteristic
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386D411yescharacteristic
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#384C2311yescharacteristic
496#382C2311yescharacteristic
497#381—21no—
498#380—21no—
499#380D411yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505#379—21no—
506#379—21no—
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509C4×C22⋊C4C2311yescharacteristic
510C2×#95—21no—
511C2×#95—21no—
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41C2×D414yes—
550C22×Q8C2411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×D4—21no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
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—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—22no—
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—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—82no—
600C22×D4—82no—
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D414yes—
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4C2×D411yescharacteristic
621C23×C4C2×D411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625AGL(1,ℤ/8)—416no—
626AGL(1,ℤ/8)—416no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
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×SD16C2×D414yes—
650C2×SD16C2×D414yes—
651C2×D8—22no—
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—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—416no—
674C2×D8C2×D414yes—
675C2×D8C2×D414yes—
676C2×M16—22no—
677C2×M16—22no—
678C2×M16—41no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16—41no—
682C2×M16—41no—
683C2×M16—41no—
684C2×M16C2×D414yes—
685C22×C8—22no—
686C22×C8—41no—
687C22×C8—41no—
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C4⋊Q8—22no—
697C4⋊Q8—41no—
698#127—22no—
699#127—22no—
700#127—41no—
701#127—41no—
702#127—41no—
703#127—41no—
704#124—22no—
705#124—41no—
706#124—41no—
707#124—41no—
708#123—44no—
709#123—44no—
710#123—44no—
711#123—44no—
712#123—44no—
713#123—44no—
714#123—44no—
715#123—44no—
716C22⋊Q8—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—41no—
722C22⋊Q8—41no—
723C22⋊Q8—41no—
724#121—24no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—22no—
734#121—44no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—44no—
743#121—44no—
744#121—44no—
745#121—41no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—82no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—82no—
761#120—82no—
762C4×Q8—22no—
763C4×Q8—41no—
764C4×Q8—41no—
765C4×Q8—41no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—44no—
785C4×D4—44no—
786#117—22no—
787#117—44no—
788#117—41no—
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—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—41no—
805C2×C4⋊C4—41no—
806C2×C4⋊C4—44no—
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
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—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—44no—
868C2×C22⋊C4—44no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—82no—
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C42—21no—
883C2×C42—21no—
884C2×C42—21no—
885C2×C42—41no—
886C2×C42—41no—
887C2×C42—44no—
888C2×C42C2×D411yescharacteristic
889C2×C42C2×D411yescharacteristic
890C2×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892C2×C42C2411yescharacteristic
893C2×C42C2411yescharacteristic
894#107—22no—
895#107—41no—
896#106—22no—
897#106—41no—
898C4⋊C8—22no—
899C4⋊C8—22no—
900C4⋊C8—41no—
901C4⋊C8—41no—
902#103—22no—
903#103—22no—
904#103—22no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103—41no—
909#103—41no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C22⋊C8—41no—
942#97—22no—
943C4×C8—22no—
944#95—21no—
945#95—21no—
946#95—21no—
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#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964C24—21no—
965C24—21no—
966C24—21no—
967C24—24no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000C24C22×D411yescharacteristic
1001#41—28no—
1002#41—44no—
1003#41—44no—
1004#41—44no—
1005#41—44no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
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×Q8C22×D412yes—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—24no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—24no—
1027C2×D4—22no—
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—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—44no—
1060C2×D4—44no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—42no—
1066C2×D4—42no—
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—44no—
1078C2×D4—44no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—44no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
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—42no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—81no—
1103C2×D4—81no—
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—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—816no—
1138C2×D4—816no—
1139C2×D4C22×D412yes—
1140C2×D4C22×D412yes—
1141C2×D4C22×D412yes—
1142C2×D4H(5,𝔽2)12yes—
1143C2×D4H(5,𝔽2)12yes—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—22no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4—81no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D412yes—
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4H(5,𝔽2)12yes—
1216C22×C4C2511yescharacteristic
1217SD16—44no—
1218SD16—44no—
1219SD16—44no—
1220SD16—44no—
1221SD16—82no—
1222SD16—82no—
1223SD16—82no—
1224SD16—82no—
1225D8—28no—
1226D8—28no—
1227D8—44no—
1228D8—44no—
1229D8—44no—
1230D8—44no—
1231D8—82no—
1232D8—82no—
1233M16—44no—
1234M16—44no—
1235M16—82no—
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—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—44no—
1259C2×C8C22×D412yes—
1260C2×C8C22×D412yes—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—81no—
1293C4⋊C4—81no—
1294C4⋊C4—81no—
1295C4⋊C4—81no—
1296C4⋊C4H(5,𝔽2)12yes—
1297C22⋊C4—24no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
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—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4AGL(1,ℤ/8)14yescomplemented
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—41no—
1363C42—41no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—22no—
1375C23—22no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—48no—
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—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23D4212yes—
1457C23C2×AGL(1,ℤ/8)12yes—
1458C23C23×D411yescharacteristic
1459Q8—22no—
1460Q8—22no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—44no—
1475D4—44no—
1476D4—48no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—84no—
1494D4—84no—
1495D4—82no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512D4—162no—
1513D4#53414yescomplemented
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—48no—
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—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—82no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—162no—
1596C2×C4—162no—
1597C2×C4D4212yes—
1598C2×C4C2×AGL(1,ℤ/8)12yes—
1599C2×C4C2×AGL(1,ℤ/8)12yes—
1600C2×C4C23×D411yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4C2×H(5,𝔽2)11yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4#58511yescharacteristic
1606C8—22no—
1607C8—22no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C22—22no—
1615C22—22no—
1616C22—24no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—168no—
1678C22—168no—
1679C22—168no—
1680C22—168no—
1681C22C2×D4211yescharacteristic
1682C22#348411yescharacteristic
1683C22#348811yescharacteristic
1684C22C22×AGL(1,ℤ/8)11yescharacteristic
1685C22#358411yescharacteristic
1686C22#358511yescharacteristic
1687C22#358511yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4C2×#53411yescharacteristic
1710C4#349611yescharacteristic
1711C4#353411yescharacteristic
1712C4#353711yescharacteristic
1713C2—42no—
1714C2—42no—
1715C2—44no—
1716C2—81no—
1717C2—82no—
1718C2—82no—
1719C2—161no—
1720C2—161no—
1721C2—161no—
1722C2#3767211yescharacteristic
1723C2D4×AGL(1,ℤ/8)11yescharacteristic
1724C2#6109211yescharacteristic
1725C2#6159811yescharacteristic
1726C2#6164811yescharacteristic
1727C2#6195911yescharacteristic
1728C2#6204711yescharacteristic
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×#3272C2semidirect
2. C2×#3264C2semidirect
3. #39358C2semidirect
4. #36218C2semidirect
5. #32904C2semidirect
6. #30761C2semidirect
7. #30743C2semidirect
8. #30615C2semidirect
9. #30597C2semidirect
10. #30472C2semidirect
11. #30456C2semidirect
12. #30424C2semidirect
13. #30408C2semidirect
14. #30245C2semidirect
15. #29718C2semidirect
16. #28567C2semidirect
17. #28559C2semidirect
18. #26178C2semidirect
19. #26162C2semidirect
20. #24911C2semidirect
21. #24893C2semidirect
22. #24454C2semidirect
23. #24448C2semidirect
24. #24444C2semidirect
25. #24440C2semidirect
26. #24372C2semidirect
27. #24354C2semidirect
28. #23861C2semidirect
29. #23851C2semidirect
30. #22174C2semidirect
31. #20928C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C23×D8C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
39. C2×D42C22semidirect
41. C2×C4×#41C22semidirect
45. C2×#492C22semidirect
46. C2×#469C22semidirect
47. C2×#469C22semidirect
48. C2×#468C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
52. C2×#460C22semidirect
53. C2×#463C22semidirect
54. C2×#461C22semidirect
57. C2×#459C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#450C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#442C22semidirect
71. C2×C4×D8C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#417C22semidirect
75. C2×#418C22semidirect
76. #2856C22semidirect
78. #2850C22semidirect
84. #2545C22semidirect
86. #2536C22semidirect
88. #2445C22semidirect
89. #2445C22semidirect
91. #2433C22semidirect
92. #2429C22semidirect
93. #2426C22semidirect
97. #2422C22semidirect
99. #2416C22semidirect
100. #2415C22semidirect
101. #2414C22semidirect
108. #2349C22semidirect
109. #2339C22semidirect
110. D4×C22⋊C4C22semidirect
112. C2×#390C22semidirect
114. #2096C22semidirect
115. #2093C22semidirect
116. #2092C22semidirect
117. #2092C22semidirect
118. #2088C22semidirect
119. #2087C22semidirect
120. #2077C22semidirect
121. #2075C22semidirect
122. #2073C22semidirect
123. #2073C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2043C22semidirect
131. #2042C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2034C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
147. #2011C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
153. #1999C22semidirect
154. #1936C22semidirect
155. #1935C22semidirect
156. #1934C22semidirect
157. #1934C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1893C22semidirect
165. #1892C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
196. #1803C22semidirect
197. #1802C22semidirect
198. #1797C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. #1728C22semidirect
218. C2×AGL(1,ℤ/8)D4semidirect
1353. C22⋊C4AGL(1,ℤ/8)semidirect
1513. D4#534semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#32642
#393582
#362182
#329042
#307612
#307432
#306152
#305972
#304722
#304562
#304242
#304082
#302452
#297182
#285672
#285592
#261782
#261622
#249112
#248932
#244542
#244482
#244442
#244402
#243722
#243542
#238612
#238512
#221742
#209282