Finite Group Databasebeta

← #6809205

Subgroups — #6809205

Order 512.

2718 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3151C211yesmaximal, characteristic, complemented
3#39864C211yesmaximal, characteristic, complemented
4#39336C211yesmaximal, characteristic, complemented
5#33145C211yesmaximal, characteristic, complemented
6#30755C211yesmaximal, characteristic, complemented
7#30752C211yesmaximal, characteristic, complemented
8#30736C211yesmaximal, characteristic, complemented
9#30735C211yesmaximal, characteristic, complemented
10#30461C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30453C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29628C211yesmaximal, characteristic, complemented
15#29625C211yesmaximal, characteristic, complemented
16#28475C211yesmaximal, characteristic, complemented
17#28472C211yesmaximal, characteristic, complemented
18#26267C211yesmaximal, characteristic, complemented
19#26260C211yesmaximal, characteristic, complemented
20#25791C211yesmaximal, characteristic, complemented
21#25783C211yesmaximal, characteristic, complemented
22#25774C211yesmaximal, characteristic, complemented
23#25421C211yesmaximal, characteristic, complemented
24#25414C211yesmaximal, characteristic, complemented
25#24372C211yesmaximal, characteristic, complemented
26#24367C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#21562C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#534—21no—
40C2×#532C2211yescharacteristic, complemented
41C22×#127C2211yescharacteristic
42#3265—28no—
43#3151—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#496C2211yescharacteristic, complemented
50C2×#493C2211yescharacteristic
51C2×#493C2211yescharacteristic, complemented
52C2×#492C2211yescharacteristic
53C2×#492C2211yescharacteristic, complemented
54C2×#492C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic
56C2×#466C2211yescharacteristic, complemented
57C2×#466C2211yescharacteristic, complemented
58C2×#465C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#461C2211yescharacteristic, complemented
63C2×#459C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#448C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#442C2211yescharacteristic, complemented
76C2×#440C2211yescharacteristic, complemented
77C2×C4×D8C2211yescharacteristic, complemented
78C2×#435C2211yescharacteristic
79C2×C4×M16C2211yescharacteristic, complemented
80#2855C2211yescharacteristic, complemented
81#2854C2211yescharacteristic
82#2688—21no—
83#2686—21no—
84#2686—21no—
85#2673—21no—
86#2673—21no—
87#2671—21no—
88#2669—21no—
89#2669—21no—
90#2638—21no—
91#2613—21no—
92#2600—21no—
93#2564—21no—
94#2547C2211yescharacteristic, complemented
95#2544C2211yescharacteristic, complemented
96#2541C2211yescharacteristic
97#2541C2211yescharacteristic
98#2448C2211yescharacteristic, complemented
99#2446C2211yescharacteristic, complemented
100#2445C2211yescharacteristic
101#2445C2211yescharacteristic
102#2436C2211yescharacteristic, complemented
103#2434C2211yescharacteristic, complemented
104#2433C2211yescharacteristic
105#2433C2211yescharacteristic
106#2433C2211yescharacteristic
107#2432C2211yescharacteristic, complemented
108#2428C2211yescharacteristic
109#2428C2211yescharacteristic
110#2428C2211yescharacteristic, complemented
111#2427C2211yescharacteristic, complemented
112#2410—21no—
113#2408C2211yescharacteristic
114#2407C2211yescharacteristic
115#2403—21no—
116#2339C2211yescharacteristic, complemented
117D4×C22⋊C4C2211yescharacteristic
118#2325—21no—
119C4×#123C2211yescharacteristic
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic
130#2041C2211yescharacteristic
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1973C2211yescharacteristic, complemented
164#1972C2211yescharacteristic, complemented
165#1970C2211yescharacteristic, complemented
166#1968C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1944C2211yescharacteristic, complemented
169#1942C2211yescharacteristic, complemented
170#1936C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1933C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1917C2211yescharacteristic, complemented
177#1916C2211yescharacteristic, complemented
178#1895C2211yescharacteristic
179#1894C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1851C2211yescharacteristic, complemented
194#1817C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1770C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)D418yescomplemented
226C22×SD16—24no—
227C22×SD16—42no—
228C22×SD16—42no—
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×M16C2311yescharacteristic
255C22×M16C2311yescharacteristic
256C23×C8C2311yescharacteristic
257#548—24no—
258#548—42no—
259D42—24no—
260D42—42no—
261#534—48no—
262#532—24no—
263#532—42no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127—24no—
267C2×#127—21no—
268C2×#127—21no—
269C2×#127—42no—
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#124—21no—
279C2×#124C2311yescharacteristic
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123D411yescharacteristic
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C2×C4×Q8C2311yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C22×C22⋊C4—21no—
327C22×C42C2311yescharacteristic
328#496—24no—
329#496—24no—
330#496—24no—
331#496—24no—
332#496—24no—
333#496—42no—
334#493—24no—
335#493—24no—
336#492—24no—
337#492—24no—
338#492—42no—
339#468—24no—
340#466—24no—
341#466—42no—
342#465—42no—
343#463—24no—
344#463—42no—
345#461—42no—
346#460—24no—
347#459—42no—
348#459—42no—
349#450—24no—
350#450—42no—
351#450—42no—
352#449—24no—
353#449—42no—
354#448—24no—
355#448—42no—
356#448—42no—
357#447—24no—
358#447—42no—
359#442—42no—
360#440—24no—
361C4×D8—42no—
362#435—24no—
363C2×#107C2311yescharacteristic
364C2×#107C2311yescharacteristic
365C2×#106C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368C2×C4⋊C8C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
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
404C4×M16—24no—
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412#400—21no—
413#399—21no—
414#398—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#395—21no—
420#395—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#394—21no—
435#393—21no—
436#393—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388D411yescharacteristic
477#388D411yescharacteristic
478#387—21no—
479#387—21no—
480#387—21no—
481#387—21no—
482#387D411yescharacteristic
483#387D411yescharacteristic
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386D411yescharacteristic
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#385—21no—
507#385D411yescharacteristic
508#381—21no—
509#381—21no—
510#381D411yescharacteristic
511#380—21no—
512#380—21no—
513#380—21no—
514#380C2311yescharacteristic
515#380C2311yescharacteristic
516#379—21no—
517#379—21no—
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523C2×#95—21no—
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25—21no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41C2×D414yes—
555C22×Q8—21no—
556C22×Q8—22no—
557C22×Q8—41no—
558C22×Q8—41no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8—41no—
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×Q8C2411yescharacteristic
565C22×D4—21no—
566C22×D4—22no—
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—22no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4—82no—
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D414yes—
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4C2×D411yescharacteristic
636C23×C4C2×D411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639AGL(1,ℤ/8)—416no—
640AGL(1,ℤ/8)—416no—
641AGL(1,ℤ/8)—416no—
642AGL(1,ℤ/8)—416no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—416no—
687C2×SD16C2×D414yes—
688C2×SD16C2×D414yes—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8C2×D414yes—
718C2×D8C2×D414yes—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16C2×D414yes—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—22no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C4⋊Q8—22no—
737C4⋊Q8—41no—
738C4⋊Q8—41no—
739C4⋊Q8—41no—
740#127—22no—
741#127—22no—
742#127—22no—
743#127—22no—
744#127—22no—
745#127—22no—
746#127—41no—
747#127—41no—
748#127—41no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—41no—
753#127—41no—
754#127—41no—
755#127—41no—
756#127—44no—
757#127—44no—
758#124—22no—
759#124—22no—
760#124—22no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124—41no—
765#124—41no—
766#124—44no—
767#123—24no—
768#123—44no—
769#123—44no—
770#123—44no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—44no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—82no—
798#121—82no—
799#120—44no—
800#120—44no—
801#120—44no—
802#120—44no—
803#120—44no—
804#120—44no—
805#120—82no—
806#120—82no—
807#120—82no—
808C4×Q8—22no—
809C4×Q8—41no—
810C4×D4—22no—
811C4×D4—22no—
812C4×D4—22no—
813C4×D4—41no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—41no—
822C4×D4—41no—
823C4×D4—41no—
824C4×D4—44no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
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—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—44no—
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C42—22no—
900C2×C42—22no—
901C2×C42—21no—
902C2×C42C2×D411yescharacteristic
903C2×C42C2×D411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#107—22no—
910#107—22no—
911#106—22no—
912C4⋊C8—22no—
913C4⋊C8—22no—
914C4⋊C8—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—22no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950#97—22no—
951#97—22no—
952#97—22no—
953#97—22no—
954C4×C8—22no—
955C4×C8—22no—
956C4×C8—22no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985C24—21no—
986C24—21no—
987C24—21no—
988C24—24no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—42no—
1041C2×Q8—44no—
1042C2×Q8—81no—
1043C2×Q8—81no—
1044C2×Q8—82no—
1045C2×Q8—82no—
1046C2×Q8—82no—
1047C2×Q8C22×D412yes—
1048C2×D4—22no—
1049C2×D4—22no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—41no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—816no—
1178C2×D4—816no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—816no—
1186C2×D4C22×D412yes—
1187C2×D4C22×D412yes—
1188C2×D4C22×D412yes—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—21no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—24no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D412yes—
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4H(5,𝔽2)12yes—
1252C22×C4C2511yescharacteristic
1253SD16—28no—
1254SD16—44no—
1255SD16—44no—
1256SD16—44no—
1257SD16—44no—
1258SD16—44no—
1259SD16—44no—
1260SD16—44no—
1261SD16—44no—
1262SD16—44no—
1263SD16—44no—
1264SD16—82no—
1265SD16—82no—
1266SD16—82no—
1267SD16—82no—
1268D8—28no—
1269D8—44no—
1270D8—44no—
1271D8—44no—
1272D8—44no—
1273D8—44no—
1274D8—44no—
1275D8—44no—
1276D8—82no—
1277D8—82no—
1278M16—28no—
1279M16—28no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—44no—
1299C2×C8C22×D412yes—
1300C2×C8C22×D412yes—
1301C2×C8H(5,𝔽2)12yes—
1302C2×C8H(5,𝔽2)12yes—
1303C2×C8H(5,𝔽2)12yes—
1304C2×C8H(5,𝔽2)12yes—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4—81no—
1332C4⋊C4—81no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4AGL(1,ℤ/8)14yescomplemented
1384C42—22no—
1385C42—22no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—42no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—48no—
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—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23D4212yes—
1480C23C2×AGL(1,ℤ/8)12yes—
1481C23C23×D411yescharacteristic
1482Q8—22no—
1483Q8—22no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—84no—
1495D4—22no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—22no—
1501D4—44no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—162no—
1625C2×C4—162no—
1626C2×C4—162no—
1627C2×C4—162no—
1628C2×C4D4212yes—
1629C2×C4C2×AGL(1,ℤ/8)12yes—
1630C2×C4C2×AGL(1,ℤ/8)12yes—
1631C2×C4#57712yes—
1632C2×C4C23×D411yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C2×C4C2×H(5,𝔽2)11yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C8—22no—
1639C8—22no—
1640C8—22no—
1641C8—41no—
1642C8—41no—
1643C8—41no—
1644C8—41no—
1645C8#53414yescomplemented
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—168no—
1710C22—168no—
1711C22—168no—
1712C22C2×D4211yescharacteristic
1713C22#349811yescharacteristic
1714C22#349811yescharacteristic
1715C22C22×AGL(1,ℤ/8)11yescharacteristic
1716C22C2×#57711yescharacteristic
1717C22#358511yescharacteristic
1718C22#358511yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4—81no—
1740C4C2×#53411yescharacteristic
1741C4#348411yescharacteristic
1742C4#354311yescharacteristic
1743C4#354311yescharacteristic
1744C2—42no—
1745C2—42no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2—161no—
1750C2—161no—
1751C2—161no—
1752C2—161no—
1753C2#3933611yescharacteristic
1754C2D4×AGL(1,ℤ/8)11yescharacteristic
1755C2#6107111yescharacteristic
1756C2#6242111yescharacteristic
1757C2#6244111yescharacteristic
1758C2#6244711yescharacteristic
1759C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3151C2semidirect
3. #39864C2semidirect
4. #39336C2semidirect
5. #33145C2semidirect
6. #30755C2semidirect
7. #30752C2semidirect
8. #30736C2semidirect
9. #30735C2semidirect
10. #30461C2semidirect
11. #30460C2semidirect
12. #30453C2semidirect
13. #30444C2semidirect
14. #29628C2semidirect
15. #29625C2semidirect
16. #28475C2semidirect
17. #28472C2semidirect
18. #26267C2semidirect
19. #26260C2semidirect
20. #25791C2semidirect
21. #25783C2semidirect
22. #25774C2semidirect
23. #25421C2semidirect
24. #25414C2semidirect
25. #24372C2semidirect
26. #24367C2semidirect
27. #24275C2semidirect
28. #23866C2semidirect
29. #23860C2semidirect
30. #22442C2semidirect
31. #21562C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C23×SD16C22semidirect
40. C2×#532C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
49. C2×#496C22semidirect
51. C2×#493C22semidirect
53. C2×#492C22semidirect
54. C2×#492C22semidirect
56. C2×#466C22semidirect
57. C2×#466C22semidirect
58. C2×#465C22semidirect
59. C2×#460C22semidirect
60. C2×#463C22semidirect
61. C2×#463C22semidirect
62. C2×#461C22semidirect
63. C2×#459C22semidirect
64. C2×#459C22semidirect
67. C2×#448C22semidirect
68. C2×#448C22semidirect
69. C2×#448C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#442C22semidirect
76. C2×#440C22semidirect
77. C2×C4×D8C22semidirect
79. C2×C4×M16C22semidirect
80. #2855C22semidirect
94. #2547C22semidirect
95. #2544C22semidirect
98. #2448C22semidirect
99. #2446C22semidirect
102. #2436C22semidirect
103. #2434C22semidirect
107. #2432C22semidirect
110. #2428C22semidirect
111. #2427C22semidirect
116. #2339C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
142. #2013C22semidirect
143. #2013C22semidirect
144. #2013C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1973C22semidirect
163. #1973C22semidirect
164. #1972C22semidirect
165. #1970C22semidirect
166. #1968C22semidirect
167. #1968C22semidirect
168. #1944C22semidirect
169. #1942C22semidirect
170. #1936C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1933C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1917C22semidirect
177. #1916C22semidirect
179. #1894C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
193. #1851C22semidirect
194. #1817C22semidirect
195. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
199. #1786C22semidirect
200. #1771C22semidirect
201. #1770C22semidirect
202. #1753C22semidirect
203. #1752C22semidirect
204. C8×C22⋊C4C22semidirect
225. C2×AGL(1,ℤ/8)D4semidirect
1383. C22⋊C4AGL(1,ℤ/8)semidirect
1645. C8#534semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#31512
#398642
#393362
#331452
#307552
#307522
#307362
#307352
#304612
#304602
#304532
#304442
#296282
#296252
#284752
#284722
#262672
#262602
#257912
#257832
#257742
#254212
#254142
#243722
#243672
#242752
#238662
#238602
#224422
#215622