Finite Group Databasebeta

← #6595874

Subgroups — #6595874

Order 512.

3818 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3318C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4#36258C211yesmaximal, characteristic, complemented
5#33006C211yesmaximal, characteristic, complemented
6#33004C211yesmaximal, characteristic, complemented
7#32902C211yesmaximal, characteristic, complemented
8#25946C211yesmaximal, characteristic, complemented
9#25642C211yesmaximal, characteristic, complemented
10#25605C211yesmaximal, characteristic, complemented
11#25550C211yesmaximal, characteristic, complemented
12#25543C211yesmaximal, characteristic, complemented
13#25502C211yesmaximal, characteristic, complemented
14#25500C211yesmaximal, characteristic, complemented
15#24444C211yesmaximal, characteristic, complemented
16#24424C211yesmaximal, characteristic, complemented
17#24347C211yesmaximal, characteristic, complemented
18#24204C211yesmaximal, characteristic, complemented
19#24159C211yesmaximal, characteristic, complemented
20#23973C211yesmaximal, characteristic, complemented
21#23969C211yesmaximal, characteristic, complemented
22#23936C211yesmaximal, characteristic, complemented
23#23930C211yesmaximal, characteristic, complemented
24#23861C211yesmaximal, characteristic, complemented
25#23848C211yesmaximal, characteristic, complemented
26#22493C211yesmaximal, characteristic, complemented
27#22471C211yesmaximal, characteristic, complemented
28#22419C211yesmaximal, characteristic, complemented
29#21452C211yesmaximal, characteristic, complemented
30#20928C211yesmaximal, characteristic, complemented
31C2×#1879C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34#3481—28no—
35#3481—28no—
36C2×#559C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic, complemented
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic, complemented
42C2×#551—21no—
43C2×#551—21no—
44C2×#546—21no—
45C2×#546—21no—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic, complemented
48C2×D42C2211yescharacteristic, complemented
49C2×D42C2211yescharacteristic, complemented
50C2×#532C2211yescharacteristic, complemented
51C2×#529—21no—
52C2×#529C2211yescharacteristic, complemented
53C2×#529C2211yescharacteristic, complemented
54C2×#525—21no—
55C2×#525—21no—
56C2×C4×#41C2211yescharacteristic
57C2×C4×#41C2211yescharacteristic, complemented
58C22×C4×D4—21no—
59C22×C4×D4C2211yescharacteristic, complemented
60C22×C4×D4C2211yescharacteristic, complemented
61#3318—28no—
62#3264—28no—
63C2×#496C2211yescharacteristic, complemented
64C2×#490C2211yescharacteristic, complemented
65C2×#481C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#478C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#466C2211yescharacteristic
71C2×#465C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic
74C2×#459C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic
76C2×#450C2211yescharacteristic, complemented
77C2×#447C2211yescharacteristic
78C2×#447C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#447C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#442C2211yescharacteristic
85C2×#442C2211yescharacteristic, complemented
86C2×#435C2211yescharacteristic, complemented
87C2×#435C2211yescharacteristic, complemented
88C2×#417C2211yescharacteristic, complemented
89C2×#418C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic, complemented
91C22×#102C2211yescharacteristic, complemented
92#2856C2211yescharacteristic, complemented
93#2854C2211yescharacteristic, complemented
94#2854C2211yescharacteristic, complemented
95#2548C2211yescharacteristic, complemented
96#2538C2211yescharacteristic, complemented
97#2426—21no—
98#2424—21no—
99#2424—21no—
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic, complemented
102#2414—21no—
103#2411—21no—
104#2411—21no—
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic, complemented
107D4×C4⋊C4C2211yescharacteristic, complemented
108D4×C22⋊C4—21no—
109C4×#121C2211yescharacteristic, complemented
110C2×#390C2211yescharacteristic, complemented
111C2×#390C2211yescharacteristic, complemented
112#2059C2211yescharacteristic, complemented
113#2058C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2041C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2012C2211yescharacteristic, complemented
125#2012C2211yescharacteristic, complemented
126#2012C2211yescharacteristic, complemented
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic, complemented
129#2011C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1992C2211yescharacteristic, complemented
137#1989C2211yescharacteristic, complemented
138#1985C2211yescharacteristic, complemented
139#1985C2211yescharacteristic, complemented
140#1983C2211yescharacteristic, complemented
141#1959C2211yescharacteristic, complemented
142#1895C2211yescharacteristic, complemented
143#1895C2211yescharacteristic, complemented
144#1893C2211yescharacteristic, complemented
145#1892C2211yescharacteristic, complemented
146#1880C2211yescharacteristic, complemented
147#1880C2211yescharacteristic, complemented
148#1880C2211yescharacteristic, complemented
149#1880C2211yescharacteristic, complemented
150#1880C2211yescharacteristic, complemented
151#1880C2211yescharacteristic, complemented
152#1879C2211yescharacteristic
153#1879C2211yescharacteristic
154#1879C2211yescharacteristic
155#1879C2211yescharacteristic, complemented
156#1879C2211yescharacteristic, complemented
157#1879C2211yescharacteristic, complemented
158#1879C2211yescharacteristic, complemented
159#1879C2211yescharacteristic, complemented
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1728C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41D411yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4—21no—
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C24×C4—21no—
217C24×C4—21no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8—24no—
225C22×D8—24no—
226C22×D8—42no—
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C23×C8C2311yescharacteristic
239C23×C8C2311yescharacteristic
240#559—24no—
241#559—24no—
242#554—24no—
243#554—24no—
244#554—24no—
245#554—24no—
246#553—216no—
247#553—24no—
248#553—24no—
249#553—24no—
250#553D418yescomplemented
251#551—216no—
252#551—216no—
253#546—216no—
254#546—24no—
255#546—24no—
256#546—24no—
257#546—48no—
258#546D418yescomplemented
259D42—24no—
260D42—24no—
261D42—24no—
262D42—24no—
263#532—24no—
264#532—24no—
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268#529—216no—
269#529—24no—
270#529—24no—
271#529—24no—
272#529—24no—
273C2×#126—21no—
274C2×#126—21no—
275C2×#126—21no—
276C2×#126—21no—
277C2×#125—21no—
278C2×#125C2311yescharacteristic
279C2×#125C2311yescharacteristic
280C2×#124—21no—
281C2×#124—21no—
282C2×#124—21no—
283C2×#124C2311yescharacteristic
284C2×#124C2311yescharacteristic
285#525—216no—
286#525—216no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C4×#41—24no—
334C4×#41—24no—
335C4×#41—24no—
336C4×#41—24no—
337C2×C4×Q8D411yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4—216no—
342C2×C4×D4—21no—
343C2×C4×D4—24no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—24no—
349C2×C4×D4—24no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4—24no—
354C2×C4×D4—21no—
355C2×C4×D4—21no—
356C2×C4×D4—21no—
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4D411yescharacteristic
362C2×C4×D4D411yescharacteristic
363C2×C4×D4D411yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117—21no—
377C2×#117—21no—
378C2×#117—21no—
379C2×#117D411yescharacteristic
380C2×#117D411yescharacteristic
381C2×#117D411yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4—21no—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4—21no—
389C22×C22⋊C4—21no—
390C22×C22⋊C4—21no—
391C22×C22⋊C4—21no—
392C22×C22⋊C4—21no—
393C22×C22⋊C4—21no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—21no—
396C22×C42—21no—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#496—24no—
401#490—24no—
402#482—24no—
403#481—24no—
404#478—24no—
405#469—24no—
406#469—24no—
407#466—24no—
408#465—24no—
409#463—24no—
410#459—24no—
411#459—24no—
412#450—24no—
413#449—24no—
414#447—24no—
415#447—24no—
416#447—24no—
417#447—24no—
418#447—24no—
419#447—42no—
420#447—42no—
421#442—24no—
422#442—24no—
423#435—24no—
424#435—24no—
425C2×#107C2311yescharacteristic
426C2×#106C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×#106C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430C2×C4⋊C8C2311yescharacteristic
431#418—24no—
432#417—42no—
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#102—24no—
439C2×#102—42no—
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×#97C2311yescharacteristic
476C2×#97C2311yescharacteristic
477#396—21no—
478#396—21no—
479#396—21no—
480#396—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#392—21no—
488#392—21no—
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390—21no—
495#390—21no—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#389—21no—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#388—21no—
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#385—21no—
520#385—21no—
521#384C2311yescharacteristic
522#380—21no—
523#380C2311yescharacteristic
524#380C2311yescharacteristic
525#380C2311yescharacteristic
526#379—21no—
527#379—21no—
528C4×C4⋊C4C2311yescharacteristic
529C4×C22⋊C4—21no—
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#336C2311yescharacteristic
547#336C2311yescharacteristic
548#336C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558C25—21no—
559C25—21no—
560C25—21no—
561C25—21no—
562C2×#41—28no—
563C2×#41—24no—
564C2×#41—24no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—42no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—82no—
572C2×#41—82no—
573C2×#41C2×D414yes—
574C22×Q8—21no—
575C22×Q8C2×D411yescharacteristic
576C22×Q8C2411yescharacteristic
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—28no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—44no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4C2×D411yescharacteristic
625C22×D4C2×D411yescharacteristic
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D414yes—
628C22×D4C2411yescharacteristic
629C22×D4C2411yescharacteristic
630C22×D4C2411yescharacteristic
631C22×D4C2411yescharacteristic
632C22×D4C2411yescharacteristic
633C22×D4C2411yescharacteristic
634C23×C4—28no—
635C23×C4—28no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—82no—
651C23×C4—82no—
652C23×C4—82no—
653C23×C4—82no—
654C23×C4C2×D411yescharacteristic
655C23×C4C2×D411yescharacteristic
656C23×C4C2×D411yescharacteristic
657C23×C4C2×D411yescharacteristic
658C23×C4C2×D411yescharacteristic
659C23×C4C2×D411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663AGL(1,ℤ/8)—416no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—416no—
700C2×D8#4114yescomplemented
701C2×M16—22no—
702C2×M16—22no—
703C2×M16—22no—
704C2×M16—41no—
705C2×M16—41no—
706C2×M16—41no—
707C22×C8—22no—
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—41no—
711C22×C8—41no—
712C22×C8—41no—
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C4⋊Q8—22no—
722C4⋊Q8—22no—
723#127—22no—
724#127—22no—
725#127—22no—
726#127—22no—
727#126—28no—
728#126—28no—
729#126—28no—
730#126—28no—
731#125—28no—
732#125—22no—
733#125—22no—
734#125—22no—
735#125C2×D414yes—
736#124—28no—
737#124—28no—
738#124—22no—
739#124—22no—
740#124—22no—
741#124—44no—
742#124C2×D414yes—
743#123—28no—
744#123—28no—
745#123—28no—
746#123—28no—
747#123—28no—
748#123—28no—
749#123—28no—
750#123—28no—
751#123—44no—
752#123—44no—
753C22⋊Q8—28no—
754C22⋊Q8—28no—
755C22⋊Q8—28no—
756C22⋊Q8—28no—
757C22⋊Q8—28no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—44no—
762C22⋊Q8C2×D414yes—
763#121—28no—
764#121—28no—
765#121—28no—
766#121—28no—
767#121—28no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—28no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—41no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—44no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—82no—
789#121C2×D414yes—
790#121C2×D414yes—
791#121C2×D414yes—
792#120—28no—
793#120—28no—
794#120—28no—
795#120—28no—
796#120—44no—
797#120—44no—
798#120—44no—
799#120—44no—
800C4×Q8—22no—
801C4×Q8—22no—
802C4×Q8—24no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×D4—28no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—24no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4—22no—
836C4×D4—24no—
837C4×D4—28no—
838C4×D4—24no—
839C4×D4—22no—
840C4×D4—22no—
841C4×D4—22no—
842C4×D4—22no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4C2×D414yes—
846C4×D4C2×D414yes—
847C4×D4C2×D414yes—
848C4×D4C2×D414yes—
849#117—28no—
850#117—28no—
851#117—28no—
852#117—22no—
853#117—24no—
854#117—24no—
855#117—24no—
856#117C2×D414yes—
857C2×C4⋊C4—28no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—22no—
871C2×C4⋊C4—22no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—41no—
880C2×C4⋊C4—41no—
881C2×C4⋊C4—41no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D414yes—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C22⋊C4—28no—
900C2×C22⋊C4—28no—
901C2×C22⋊C4—28no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—28no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—82no—
952C2×C22⋊C4—82no—
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C42—28no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—22no—
966C2×C42—22no—
967C2×C42—22no—
968C2×C42—22no—
969C2×C42—21no—
970C2×C42C2×D411yescharacteristic
971C2×C42C2×D411yescharacteristic
972C2×C42C2×D411yescharacteristic
973C2×C42C2×D411yescharacteristic
974C2×C42C2×D411yescharacteristic
975C2×C42C2×D411yescharacteristic
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980#107—22no—
981#106—22no—
982#106—22no—
983#106—22no—
984C4⋊C8—22no—
985C4⋊C8—22no—
986#103—22no—
987#103—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—41no—
1024C22⋊C8—41no—
1025C22⋊C8—41no—
1026#97—22no—
1027#97—22no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035C24—21no—
1036C24—24no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—24no—
1041C24—21no—
1042C24—21no—
1043C24—42no—
1044C24—42no—
1045C24—42no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—42no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24C22×D411yescharacteristic
1070C24C22×D411yescharacteristic
1071C24C22×D411yescharacteristic
1072#41—28no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—416no—
1077#41—816no—
1078C2×Q8—24no—
1079C2×Q8—22no—
1080C2×Q8—22no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—41no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8C22×D412yes—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—22no—
1100C2×D4—24no—
1101C2×D4—22no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—432no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—816no—
1199C2×D4#12014yes—
1200C2×D4AGL(1,ℤ/8)14yescomplemented
1201C2×D4C22×D412yes—
1202C2×D4C22×D412yes—
1203C2×D4C22×D412yes—
1204C2×D4C2×#4112yes—
1205C2×D4C2×#4112yes—
1206C2×D4H(5,𝔽2)12yes—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4—81no—
1281C22×C4—81no—
1282C22×C4—81no—
1283C22×C4—816no—
1284C22×C4—816no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D412yes—
1303C22×C4C22×D412yes—
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D411yescharacteristic
1308C22×C4C2511yescharacteristic
1309SD16—44no—
1310SD16—44no—
1311SD16—82no—
1312D8—28no—
1313D8—44no—
1314D8—44no—
1315D8—44no—
1316D8—44no—
1317D8—44no—
1318D8—82no—
1319D8—82no—
1320D8—82no—
1321M16—44no—
1322M16—82no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—44no—
1347C2×C8—82no—
1348C2×C8C2×#4112yes—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—81no—
1384C4⋊C4—81no—
1385C4⋊C4—81no—
1386C4⋊C4#12014yes—
1387C4⋊C4C22×D412yes—
1388C4⋊C4C22×D412yes—
1389C4⋊C4C22×D412yes—
1390C4⋊C4C22×D412yes—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—22no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—81no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4#12014yes—
1442C22⋊C4#12014yes—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—42no—
1459C42C22×D412yes—
1460C42C22×D412yes—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—48no—
1484C23—48no—
1485C23—48no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—48no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—84no—
1539C23—84no—
1540C23—84no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23C2×#12012yes—
1548C23C2×#12012yes—
1549C23C2×AGL(1,ℤ/8)12yes—
1550C23C2×AGL(1,ℤ/8)12yes—
1551C23#57512yes—
1552C23C23×D411yescharacteristic
1553Q8—22no—
1554Q8—22no—
1555Q8—44no—
1556Q8—41no—
1557Q8—41no—
1558Q8—84no—
1559D4—28no—
1560D4—28no—
1561D4—22no—
1562D4—22no—
1563D4—22no—
1564D4—22no—
1565D4—22no—
1566D4—22no—
1567D4—22no—
1568D4—22no—
1569D4—22no—
1570D4—48no—
1571D4—48no—
1572D4—44no—
1573D4—48no—
1574D4—48no—
1575D4—48no—
1576D4—48no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—162no—
1601D4—162no—
1602D4—162no—
1603D4#54614yescomplemented
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—44no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—162no—
1692C2×C4—162no—
1693C2×C4C2×#12012yes—
1694C2×C4C2×#12012yes—
1695C2×C4C2×#12012yes—
1696C2×C4C2×#12012yes—
1697C2×C4C2×AGL(1,ℤ/8)12yes—
1698C2×C4#57612yes—
1699C2×C4C23×D411yescharacteristic
1700C2×C4C23×D411yescharacteristic
1701C2×C4C22×#4111yescharacteristic
1702C2×C4C2×H(5,𝔽2)11yescharacteristic
1703C2×C4#58511yescharacteristic
1704C2×C4#58511yescharacteristic
1705C8—22no—
1706C8—41no—
1707C8—41no—
1708C8—41no—
1709C8—41no—
1710C8—41no—
1711C8—41no—
1712C8—41no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—24no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—42no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—816no—
1750C22—816no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—168no—
1778C22—168no—
1779C22#300614yes—
1780C22C22×#12011yescharacteristic
1781C22D4×#4111yescharacteristic
1782C22#348811yescharacteristic
1783C22C22×AGL(1,ℤ/8)11yescharacteristic
1784C22C2×#57511yescharacteristic
1785C22C2×#57611yescharacteristic
1786C22#358511yescharacteristic
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—42no—
1798C4—41no—
1799C4—41no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4—81no—
1808C4C2×#54611yescharacteristic
1809C4D4×#4111yescharacteristic
1810C4#348511yescharacteristic
1811C4#348811yescharacteristic
1812C2—24no—
1813C2—42no—
1814C2—42no—
1815C2—44no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2—161no—
1820C2—161no—
1821C2#3621211yescharacteristic
1822C2C2×#300611yescharacteristic
1823C2#6037211yescharacteristic
1824C2#6144411yescharacteristic
1825C2#6145111yescharacteristic
1826C2#6197111yescharacteristic
1827C2#6197911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3481C2semidirect
2. C2×#3318C2semidirect
3. C2×#3264C2semidirect
4. #36258C2semidirect
5. #33006C2semidirect
6. #33004C2semidirect
7. #32902C2semidirect
8. #25946C2semidirect
9. #25642C2semidirect
10. #25605C2semidirect
11. #25550C2semidirect
12. #25543C2semidirect
13. #25502C2semidirect
14. #25500C2semidirect
15. #24444C2semidirect
16. #24424C2semidirect
17. #24347C2semidirect
18. #24204C2semidirect
19. #24159C2semidirect
20. #23973C2semidirect
21. #23969C2semidirect
22. #23936C2semidirect
23. #23930C2semidirect
24. #23861C2semidirect
25. #23848C2semidirect
26. #22493C2semidirect
27. #22471C2semidirect
28. #22419C2semidirect
29. #21452C2semidirect
30. #20928C2semidirect
31. C2×#1879C2semidirect
36. C2×#559C22semidirect
37. C2×#554C22semidirect
38. C2×#554C22semidirect
41. C2×#553C22semidirect
47. C2×#546C22semidirect
48. C2×D42C22semidirect
49. C2×D42C22semidirect
50. C2×#532C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
57. C2×C4×#41C22semidirect
59. C22×C4×D4C22semidirect
60. C22×C4×D4C22semidirect
63. C2×#496C22semidirect
64. C2×#490C22semidirect
65. C2×#481C22semidirect
66. C2×#482C22semidirect
67. C2×#478C22semidirect
68. C2×#469C22semidirect
69. C2×#469C22semidirect
71. C2×#465C22semidirect
72. C2×#463C22semidirect
74. C2×#459C22semidirect
76. C2×#450C22semidirect
80. C2×#447C22semidirect
81. C2×#447C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
85. C2×#442C22semidirect
86. C2×#435C22semidirect
87. C2×#435C22semidirect
88. C2×#417C22semidirect
89. C2×#418C22semidirect
90. C22×#102C22semidirect
91. C22×#102C22semidirect
92. #2856C22semidirect
93. #2854C22semidirect
94. #2854C22semidirect
95. #2548C22semidirect
96. #2538C22semidirect
101. #2416C22semidirect
106. #2408C22semidirect
107. D4×C4⋊C4C22semidirect
109. C4×#121C22semidirect
110. C2×#390C22semidirect
111. C2×#390C22semidirect
112. #2059C22semidirect
113. #2058C22semidirect
114. #2042C22semidirect
115. #2041C22semidirect
116. #2035C22semidirect
117. #2033C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2025C22semidirect
121. #2023C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2012C22semidirect
125. #2012C22semidirect
126. #2012C22semidirect
128. #2011C22semidirect
129. #2011C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1992C22semidirect
137. #1989C22semidirect
138. #1985C22semidirect
139. #1985C22semidirect
140. #1983C22semidirect
141. #1959C22semidirect
142. #1895C22semidirect
143. #1895C22semidirect
144. #1893C22semidirect
145. #1892C22semidirect
146. #1880C22semidirect
147. #1880C22semidirect
148. #1880C22semidirect
149. #1880C22semidirect
150. #1880C22semidirect
151. #1880C22semidirect
155. #1879C22semidirect
156. #1879C22semidirect
157. #1879C22semidirect
158. #1879C22semidirect
159. #1879C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1872C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1865C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1853C22semidirect
190. #1825C22semidirect
191. #1824C22semidirect
192. #1817C22semidirect
193. #1817C22semidirect
194. #1802C22semidirect
195. #1802C22semidirect
196. #1797C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. #1749C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1728C22semidirect
206. C2×#336C22semidirect
250. #553D4semidirect
258. #546D4semidirect
700. C2×D8#41semidirect
1200. C2×D4AGL(1,ℤ/8)semidirect
1603. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#33182
C2×#32642
#362582
#330062
#330042
#329022
#259462
#256422
#256052
#255502
#255432
#255022
#255002
#244442
#244242
#243472
#242042
#241592
#239732
#239692
#239362
#239302
#238612
#238482
#224932
#224712
#224192
#214522
#209282
C2×#18792