Finite Group Databasebeta

← #6809407

Subgroups — #6809407

Order 512.

2711 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3151C211yesmaximal, characteristic, complemented
3#39889C211yesmaximal, characteristic, complemented
4#39336C211yesmaximal, characteristic, complemented
5#33145C211yesmaximal, characteristic, complemented
6#30761C211yesmaximal, characteristic, complemented
7#30749C211yesmaximal, characteristic, complemented
8#30741C211yesmaximal, characteristic, complemented
9#30733C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30471C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#30447C211yesmaximal, characteristic, complemented
14#29628C211yesmaximal, characteristic, complemented
15#29625C211yesmaximal, characteristic, complemented
16#28480C211yesmaximal, characteristic, complemented
17#28461C211yesmaximal, characteristic, complemented
18#26258C211yesmaximal, characteristic, complemented
19#26254C211yesmaximal, characteristic, complemented
20#25794C211yesmaximal, characteristic, complemented
21#25791C211yesmaximal, characteristic, complemented
22#25791C211yesmaximal, characteristic, complemented
23#25428C211yesmaximal, characteristic, complemented
24#25416C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24367C211yesmaximal, characteristic, complemented
27#24277C211yesmaximal, characteristic, complemented
28#23864C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#21565C211yesmaximal, 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
36C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×#547C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#534—21no—
40C2×#532C2211yescharacteristic, complemented
41C22×#127C2211yescharacteristic
42#3272—28no—
43#3151—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic
50C2×#493C2211yescharacteristic, complemented
51C2×#492C2211yescharacteristic
52C2×#492C2211yescharacteristic, complemented
53C2×#492C2211yescharacteristic, complemented
54C2×#492C2211yescharacteristic, complemented
55C2×#469C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#461C2211yescharacteristic, complemented
63C2×#461C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#440C2211yescharacteristic, complemented
76C2×C4×SD16C2211yescharacteristic, complemented
77C2×C4×D8C2211yescharacteristic, complemented
78C2×#436C2211yescharacteristic
79C2×C4×M16C2211yescharacteristic, complemented
80#2855C2211yescharacteristic, complemented
81#2854C2211yescharacteristic
82#2701—21no—
83#2701—21no—
84#2699—21no—
85#2682—21no—
86#2673—21no—
87#2673—21no—
88#2669—21no—
89#2669—21no—
90#2630—21no—
91#2613—21no—
92#2602—21no—
93#2579—21no—
94#2546C2211yescharacteristic, complemented
95#2545C2211yescharacteristic, complemented
96#2541C2211yescharacteristic
97#2541C2211yescharacteristic
98#2447C2211yescharacteristic, complemented
99#2445C2211yescharacteristic
100#2445C2211yescharacteristic
101#2445C2211yescharacteristic, complemented
102#2433C2211yescharacteristic
103#2433C2211yescharacteristic
104#2433C2211yescharacteristic
105#2432C2211yescharacteristic, complemented
106#2432C2211yescharacteristic, complemented
107#2431C2211yescharacteristic, complemented
108#2429C2211yescharacteristic, complemented
109#2428C2211yescharacteristic
110#2428C2211yescharacteristic
111#2426C2211yescharacteristic, complemented
112#2410—21no—
113#2408C2211yescharacteristic
114#2407C2211yescharacteristic
115#2403—21no—
116#2341C2211yescharacteristic, complemented
117D4×C22⋊C4C2211yescharacteristic
118#2322—21no—
119C4×#123C2211yescharacteristic
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, 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#2013C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1970C2211yescharacteristic, 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#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1879C2211yescharacteristic, 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
201C8×C4⋊C4C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
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)—24no—
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)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)D418yescomplemented
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
256C22×M16C2311yescharacteristic
257#547—24no—
258#547—42no—
259D42—24no—
260D42—42no—
261#534—48no—
262#532—24no—
263#532—42no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×C4⋊Q8C2311yescharacteristic
267C2×#127—24no—
268C2×#127—21no—
269C2×#127—21no—
270C2×#127—42no—
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123D411yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
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×Q8C2311yescharacteristic
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C22×C4⋊C4—21no—
326C22×C22⋊C4—21no—
327C22×C42C2311yescharacteristic
328#496—24no—
329#496—24no—
330#496—24no—
331#496—24no—
332#496—42no—
333#493—24no—
334#493—24no—
335#492—24no—
336#492—24no—
337#492—24no—
338#492—42no—
339#469—42no—
340#468—24no—
341#468—24no—
342#468—42no—
343#463—42no—
344#461—24no—
345#461—42no—
346#460—42no—
347#460—42no—
348#459—24no—
349#450—24no—
350#450—24no—
351#450—42no—
352#450—42no—
353#449—24no—
354#449—24no—
355#449—42no—
356#449—42no—
357#449—42no—
358#447—42no—
359#440—42no—
360C4×SD16—42no—
361C4×D8—24no—
362#436—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×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412#398—21no—
413#398—21no—
414#398—21no—
415#397—21no—
416#397—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—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#394—21no—
436#392—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#390—21no—
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389—21no—
472#389—21no—
473#389—21no—
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388D411yescharacteristic
485#388D411yescharacteristic
486#387—21no—
487#387—21no—
488#387D411yescharacteristic
489#387D411yescharacteristic
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#386—21no—
501#386D411yescharacteristic
502#385—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#385—21no—
507#385—21no—
508#385—21no—
509#385D411yescharacteristic
510#381—21no—
511#381—21no—
512#381D411yescharacteristic
513#380—21no—
514#380C2311yescharacteristic
515#380C2311yescharacteristic
516#379—21no—
517#379—21no—
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4—21no—
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523C4×C22⋊C4C2311yescharacteristic
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—22no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41C2×D414yes—
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×D4—21no—
565C22×D4—22no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—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—22no—
594C22×D4—22no—
595C22×D4—41no—
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—44no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D414yes—
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4C2×D411yescharacteristic
634C23×C4C2×D411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637AGL(1,ℤ/8)—416no—
638AGL(1,ℤ/8)—416no—
639AGL(1,ℤ/8)—416no—
640AGL(1,ℤ/8)—416no—
641AGL(1,ℤ/8)—416no—
642C2×SD16—22no—
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—41no—
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×SD16C2×D414yes—
686C2×SD16C2×D414yes—
687C2×D8—22no—
688C2×D8—22no—
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—41no—
703C2×D8—41no—
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×D8C2×D414yes—
716C2×D8C2×D414yes—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16—22no—
725C2×M16C2×D414yes—
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C4⋊Q8—22no—
735C4⋊Q8—22no—
736C4⋊Q8—41no—
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—41no—
761#124—41no—
762#124—41no—
763#124—41no—
764#123—24no—
765#123—44no—
766#123—44no—
767#123—44no—
768#123—44no—
769#123—44no—
770#123—44no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—44no—
781#121—44no—
782#121—41no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—44no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—82no—
796#121—82no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—44no—
801#120—44no—
802#120—44no—
803#120—82no—
804#120—82no—
805#120—82no—
806C4×Q8—41no—
807C4×Q8—41no—
808C4×Q8—41no—
809C4×Q8—41no—
810C4×D4—22no—
811C4×D4—22no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—41no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—41no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
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⋊C4—21no—
837C2×C4⋊C4—44no—
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2×D411yescharacteristic
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
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—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—44no—
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C42—22no—
903C2×C42—22no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42C2×D411yescharacteristic
907C2×C42C2×D411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912C2×C42C2411yescharacteristic
913#107—22no—
914#107—22no—
915#106—22no—
916C4⋊C8—22no—
917C4⋊C8—22no—
918C4⋊C8—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—22no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103—41no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
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—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954#97—22no—
955#97—22no—
956#97—22no—
957C4×C8—22no—
958C4×C8—22no—
959C4×C8—22no—
960C4×C8—22no—
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—44no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
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—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8C22×D412yes—
1045C2×D4—22no—
1046C2×D4—24no—
1047C2×D4—24no—
1048C2×D4—22no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—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—44no—
1089C2×D4—44no—
1090C2×D4—41no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
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—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
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—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
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—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—816no—
1174C2×D4—816no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—816no—
1183C2×D4C22×D412yes—
1184C2×D4C22×D412yes—
1185C2×D4C22×D412yes—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—21no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—24no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—81no—
1221C22×C4—81no—
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×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D412yes—
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4H(5,𝔽2)12yes—
1246C22×C4C2511yescharacteristic
1247SD16—28no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—44no—
1254SD16—44no—
1255SD16—44no—
1256SD16—44no—
1257SD16—82no—
1258SD16—82no—
1259SD16—82no—
1260SD16—82no—
1261SD16—82no—
1262D8—28no—
1263D8—44no—
1264D8—44no—
1265D8—44no—
1266D8—44no—
1267D8—44no—
1268D8—44no—
1269D8—44no—
1270D8—44no—
1271D8—82no—
1272M16—28no—
1273M16—28no—
1274M16—44no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
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×C8C22×D412yes—
1294C2×C8C22×D412yes—
1295C2×C8H(5,𝔽2)12yes—
1296C2×C8H(5,𝔽2)12yes—
1297C2×C8H(5,𝔽2)12yes—
1298C2×C8H(5,𝔽2)12yes—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—41no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—81no—
1325C4⋊C4—81no—
1326C4⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C4⋊C4AGL(1,ℤ/8)14yescomplemented
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—42no—
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—
1383C42—22no—
1384C42—22no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—81no—
1396C42—81no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—48no—
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—41no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23D4212yes—
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—
1494D4—22no—
1495D4—22no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—44no—
1501D4—41no—
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—84no—
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—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550C2×C4—21no—
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—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
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—21no—
1575C2×C4—22no—
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—44no—
1587C2×C4—44no—
1588C2×C4—41no—
1589C2×C4—41no—
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—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—162no—
1624C2×C4—162no—
1625C2×C4D4212yes—
1626C2×C4C2×AGL(1,ℤ/8)12yes—
1627C2×C4C2×AGL(1,ℤ/8)12yes—
1628C2×C4C2×AGL(1,ℤ/8)12yes—
1629C2×C4#57712yes—
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C8—22no—
1637C8—22no—
1638C8—22no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C8#53414yescomplemented
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—81no—
1668C22—81no—
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—168no—
1708C22—168no—
1709C22—168no—
1710C22C2×D4211yescharacteristic
1711C22#349811yescharacteristic
1712C22#349811yescharacteristic
1713C22C22×AGL(1,ℤ/8)11yescharacteristic
1714C22C2×#57711yescharacteristic
1715C22#358511yescharacteristic
1716C22#358511yescharacteristic
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4C2×#53411yescharacteristic
1739C4#348411yescharacteristic
1740C4#354311yescharacteristic
1741C4#354311yescharacteristic
1742C2—42no—
1743C2—81no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2—161no—
1748C2—161no—
1749C2—161no—
1750C2—161no—
1751C2#3933611yescharacteristic
1752C2D4×AGL(1,ℤ/8)11yescharacteristic
1753C2#6107111yescharacteristic
1754C2#6242111yescharacteristic
1755C2#6244111yescharacteristic
1756C2#6245311yescharacteristic
1757C2#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×#3272C2semidirect
2. C2×#3151C2semidirect
3. #39889C2semidirect
4. #39336C2semidirect
5. #33145C2semidirect
6. #30761C2semidirect
7. #30749C2semidirect
8. #30741C2semidirect
9. #30733C2semidirect
10. #30472C2semidirect
11. #30471C2semidirect
12. #30456C2semidirect
13. #30447C2semidirect
14. #29628C2semidirect
15. #29625C2semidirect
16. #28480C2semidirect
17. #28461C2semidirect
18. #26258C2semidirect
19. #26254C2semidirect
20. #25794C2semidirect
21. #25791C2semidirect
22. #25791C2semidirect
23. #25428C2semidirect
24. #25416C2semidirect
25. #24370C2semidirect
26. #24367C2semidirect
27. #24277C2semidirect
28. #23864C2semidirect
29. #23860C2semidirect
30. #22443C2semidirect
31. #21565C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C22×AGL(1,ℤ/8)C22semidirect
40. C2×#532C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
50. C2×#493C22semidirect
52. C2×#492C22semidirect
53. C2×#492C22semidirect
54. C2×#492C22semidirect
55. C2×#469C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
59. C2×#460C22semidirect
60. C2×#460C22semidirect
61. C2×#463C22semidirect
62. C2×#461C22semidirect
63. C2×#461C22semidirect
64. C2×#459C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#450C22semidirect
74. C2×#447C22semidirect
75. C2×#440C22semidirect
76. C2×C4×SD16C22semidirect
77. C2×C4×D8C22semidirect
79. C2×C4×M16C22semidirect
80. #2855C22semidirect
94. #2546C22semidirect
95. #2545C22semidirect
98. #2447C22semidirect
101. #2445C22semidirect
105. #2432C22semidirect
106. #2432C22semidirect
107. #2431C22semidirect
108. #2429C22semidirect
111. #2426C22semidirect
116. #2341C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
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. #2013C22semidirect
141. #2013C22semidirect
142. #2013C22semidirect
143. #2013C22semidirect
144. #2013C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1972C22semidirect
163. #1970C22semidirect
164. #1970C22semidirect
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. #1880C22semidirect
183. #1880C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
193. #1851C22semidirect
194. #1817C22semidirect
195. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
199. #1786C22semidirect
200. #1771C22semidirect
201. C8×C4⋊C4C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1753C22semidirect
228. C2×AGL(1,ℤ/8)D4semidirect
1330. C4⋊C4AGL(1,ℤ/8)semidirect
1643. C8#534semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#31512
#398892
#393362
#331452
#307612
#307492
#307412
#307332
#304722
#304712
#304562
#304472
#296282
#296252
#284802
#284612
#262582
#262542
#257942
#257912
#254282
#254162
#243702
#243672
#242772
#238642
#238602
#224432
#215652