Finite Group Databasebeta

← #6667894

Subgroups — #6667894

Order 512.

3638 conjugacy classes of subgroups.

The subgroup lattice has 1871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3003C211yesmaximal, characteristic, complemented
3#39884C211yesmaximal, characteristic, complemented
4D4×#120C211yesmaximal, characteristic, complemented
5#32881C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#31000C211yesmaximal, characteristic, complemented
9#30984C211yesmaximal, characteristic, complemented
10#30456C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30424C211yesmaximal, characteristic, complemented
13#30420C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28365C211yesmaximal, characteristic, complemented
17#28110C211yesmaximal, characteristic, complemented
18#25176C211yesmaximal, characteristic, complemented
19#25156C211yesmaximal, characteristic, complemented
20#24897C211yesmaximal, characteristic, complemented
21#24893C211yesmaximal, characteristic, complemented
22#24538C211yesmaximal, characteristic, complemented
23#24370C211yesmaximal, characteristic, complemented
24#24252C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#24044C211yesmaximal, characteristic, complemented
27#23864C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22038C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#525C2211yescharacteristic, complemented
41C22×#120—21no—
42#3272—28no—
43C2×#492C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#468C2211yescharacteristic, complemented
47C2×#460C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50C2×#459C2211yescharacteristic, complemented
51#3003—28no—
52C2×#449C2211yescharacteristic, complemented
53C2×#449C2211yescharacteristic, complemented
54C2×#449C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic, complemented
56C2×#450C2211yescharacteristic
57C2×#450C2211yescharacteristic
58C2×#450C2211yescharacteristic
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×C4×D8C2211yescharacteristic, complemented
74C2×#436C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic
76C2×#418C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78#2848C2211yescharacteristic, complemented
79#2847C2211yescharacteristic
80#2846—21no—
81#2724—21no—
82#2701—21no—
83#2697—21no—
84#2678—21no—
85#2630—21no—
86#2602—21no—
87#2579—21no—
88#2538C2211yescharacteristic, complemented
89#2536C2211yescharacteristic, complemented
90#2499C2211yescharacteristic, complemented
91#2485C2211yescharacteristic, complemented
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2429C2211yescharacteristic, complemented
96#2429C2211yescharacteristic, complemented
97#2422C2211yescharacteristic, complemented
98#2420C2211yescharacteristic, complemented
99#2410—21no—
100#2410—21no—
101#2410—21no—
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2407C2211yescharacteristic, complemented
107#2403—21no—
108#2403—21no—
109#2403—21no—
110#2341C2211yescharacteristic, complemented
111D4×C22⋊C4C2211yescharacteristic
112D4×C22⋊C4C2211yescharacteristic
113D4×C22⋊C4C2211yescharacteristic
114#2322—21no—
115C4×#120C2211yescharacteristic
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1957C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C26—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic, complemented
208C23×D4—24no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—42no—
216C23×D4—42no—
217C23×D4—42no—
218C23×D4—42no—
219C23×D4—42no—
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—24no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C2×AGL(1,ℤ/8)—42no—
233C2×AGL(1,ℤ/8)—42no—
234C2×AGL(1,ℤ/8)—42no—
235C2×AGL(1,ℤ/8)—42no—
236C2×AGL(1,ℤ/8)D418yescomplemented
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic, complemented
246C22×SD16C2311yescharacteristic, complemented
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic, complemented
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C22×M16C2311yescharacteristic, complemented
255#547—24no—
256#547—42no—
257D42—24no—
258D42—42no—
259D42—42no—
260D42—42no—
261D42—42no—
262D42—42no—
263C2×C4⋊Q8C2311yescharacteristic, complemented
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267#525—24no—
268#525—42no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic, complemented
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—48no—
309C2×#120D411yescharacteristic
310C2×C4×Q8C2311yescharacteristic, complemented
311C2×C4×Q8C2311yescharacteristic, complemented
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic, complemented
321C2×#117C2311yescharacteristic
322C22×C4⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326#492—24no—
327#482—42no—
328#468—24no—
329#468—24no—
330#461—24no—
331#460—42no—
332#460—42no—
333#459—24no—
334#450—24no—
335#450—24no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—24no—
340#450—42no—
341#450—42no—
342#450—42no—
343#450—42no—
344#450—42no—
345#449—24no—
346#449—24no—
347#449—42no—
348#449—42no—
349#447—24no—
350#447—24no—
351#447—24no—
352#447—24no—
353#440—42no—
354C4×SD16—42no—
355C4×D8—24no—
356#436—24no—
357C2×#107C2311yescharacteristic, complemented
358C2×#107C2311yescharacteristic, complemented
359C2×#107C2311yescharacteristic, complemented
360C2×#106C2311yescharacteristic, complemented
361C2×#106C2311yescharacteristic, complemented
362C2×C4⋊C8C2311yescharacteristic, complemented
363C2×C4⋊C8C2311yescharacteristic, complemented
364C2×C4⋊C8C2311yescharacteristic, complemented
365#418—24no—
366#418—24no—
367C2×#103C2311yescharacteristic, complemented
368C2×#103C2311yescharacteristic, complemented
369C2×#103C2311yescharacteristic, complemented
370C2×#103C2311yescharacteristic, complemented
371C2×#103C2311yescharacteristic, complemented
372C2×#103C2311yescharacteristic, complemented
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic, complemented
394C2×#102C2311yescharacteristic, complemented
395C2×#102C2311yescharacteristic, complemented
396C2×#102C2311yescharacteristic, complemented
397C2×#102C2311yescharacteristic, complemented
398C2×#102C2311yescharacteristic, complemented
399C2×#102C2311yescharacteristic, complemented
400C2×#102C2311yescharacteristic, complemented
401#407—24no—
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic, complemented
413C2×C22⋊C8C2311yescharacteristic, complemented
414C2×C22⋊C8C2311yescharacteristic, complemented
415C2×#97C2311yescharacteristic, complemented
416C2×C4×C8C2311yescharacteristic, complemented
417C2×C4×C8C2311yescharacteristic, complemented
418#398—21no—
419#398—21no—
420#398—21no—
421#397—21no—
422#397—21no—
423#397—21no—
424#397—21no—
425#397—21no—
426#396—21no—
427#396—21no—
428#396—21no—
429#396—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—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#391C2311yescharacteristic, complemented
451#391C2311yescharacteristic, complemented
452#390—21no—
453#390—21no—
454#390—21no—
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic, complemented
462#390C2311yescharacteristic, complemented
463#389—21no—
464#389—21no—
465#389—21no—
466#389C2311yescharacteristic, complemented
467#389C2311yescharacteristic, complemented
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#387—21no—
474#387—21no—
475#387—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386D411yescharacteristic
489#386D411yescharacteristic
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385D411yescharacteristic
498#385D411yescharacteristic
499#385D411yescharacteristic
500#384C2311yescharacteristic, complemented
501#382C2311yescharacteristic, complemented
502#381—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic, complemented
511#380C2311yescharacteristic, complemented
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517#379—21no—
518#379—21no—
519#379D411yescharacteristic
520C4×C22⋊C4—21no—
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523C4×C22⋊C4C2311yescharacteristic
524#340C2311yescharacteristic, complemented
525#340C2311yescharacteristic, complemented
526#340C2311yescharacteristic, complemented
527#340C2311yescharacteristic, complemented
528#340C2311yescharacteristic, complemented
529#340C2311yescharacteristic, complemented
530#340C2311yescharacteristic, complemented
531#340C2311yescharacteristic, complemented
532#340C2311yescharacteristic, complemented
533#340C2311yescharacteristic, complemented
534#336C2311yescharacteristic, complemented
535#336C2311yescharacteristic, complemented
536#336C2311yescharacteristic, complemented
537#336C2311yescharacteristic, complemented
538#336C2311yescharacteristic, complemented
539#336C2311yescharacteristic, complemented
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C25—21no—
545C25—21no—
546C25—21no—
547C25—44no—
548C25—44no—
549C25—44no—
550C25—44no—
551C25—82no—
552C25—82no—
553C25—82no—
554C25C2×D411yescharacteristic
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41C2×D414yescomplemented
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—22no—
613C22×D4—22no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—416no—
641C22×D4—416no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4—44no—
646C22×D4—44no—
647C22×D4—44no—
648C22×D4—416no—
649C22×D4—416no—
650C22×D4—44no—
651C22×D4—44no—
652C22×D4—82no—
653C22×D4—82no—
654C22×D4—82no—
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C22×D4C2×D414yes—
658C22×D4C2×D411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C22×D4C2411yescharacteristic
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—41no—
674C23×C4—41no—
675C23×C4—41no—
676C23×C4—41no—
677C23×C4C2×D411yescharacteristic
678C23×C4C2×D411yescharacteristic
679C23×C4C2×D411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684AGL(1,ℤ/8)—416no—
685AGL(1,ℤ/8)—416no—
686AGL(1,ℤ/8)—416no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16C2×D414yes—
716C2×SD16C2×D414yescomplemented
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8C2×D414yes—
731C2×D8C2×D414yescomplemented
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—41no—
735C2×M16—41no—
736C2×M16—41no—
737C2×M16—41no—
738C2×M16—41no—
739C2×M16—41no—
740C2×M16C2×D414yescomplemented
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C4⋊Q8—22no—
750C4⋊Q8—41no—
751#127—22no—
752#127—22no—
753#127—22no—
754#127—41no—
755#127—41no—
756#127—41no—
757#123—44no—
758#123—44no—
759#123—44no—
760#123—44no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—41no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#120—24no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—44no—
801#120—44no—
802#120—44no—
803#120—44no—
804#120—44no—
805#120—44no—
806#120—44no—
807#120—44no—
808#120—82no—
809#120—82no—
810#120—82no—
811C4×Q8—41no—
812C4×Q8—41no—
813C4×Q8—41no—
814C4×Q8—41no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—41no—
822C4×D4—41no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—41no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—44no—
830C4×D4—44no—
831#117—22no—
832#117—22no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—44no—
848C2×C4⋊C4C2×D411yescharacteristic
849C2×C4⋊C4C2×D411yescharacteristic
850C2×C4⋊C4C2×D411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
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—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4—44no—
904C2×C22⋊C4—44no—
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C42—21no—
918C2×C42—21no—
919C2×C42—21no—
920C2×C42C2411yescharacteristic
921C2×C42C2411yescharacteristic
922C2×C42C2411yescharacteristic
923#107—22no—
924#107—41no—
925#107—41no—
926#106—41no—
927#106—41no—
928C4⋊C8—22no—
929C4⋊C8—41no—
930C4⋊C8—41no—
931#103—22no—
932#103—22no—
933#103—41no—
934#103—41no—
935#103—41no—
936#103—41no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—41no—
954#102—41no—
955#102—41no—
956#102—41no—
957#102—41no—
958#102—41no—
959#102—41no—
960#102—41no—
961#102—41no—
962#102—41no—
963#102—41no—
964#102—41no—
965C22⋊C8—22no—
966C22⋊C8—22no—
967C22⋊C8—22no—
968C22⋊C8—22no—
969C22⋊C8—22no—
970C22⋊C8—22no—
971C22⋊C8—22no—
972C22⋊C8—41no—
973C22⋊C8—41no—
974C22⋊C8—41no—
975C22⋊C8—41no—
976C22⋊C8—41no—
977C22⋊C8—41no—
978#97—41no—
979C4×C8—22no—
980C4×C8—41no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95C2×D411yescharacteristic
998#95C2×D411yescharacteristic
999#95C2×D411yescharacteristic
1000#95C2×D411yescharacteristic
1001#95C2×D411yescharacteristic
1002#95C2×D411yescharacteristic
1003C24—21no—
1004C24—24no—
1005C24—24no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—24no—
1014C24—21no—
1015C24—41no—
1016C24—41no—
1017C24—41no—
1018C24—41no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24—42no—
1035C24—42no—
1036C24—42no—
1037C24—42no—
1038C24—42no—
1039C24—42no—
1040C24—42no—
1041C24—42no—
1042C24—42no—
1043C24—42no—
1044C24—42no—
1045C24—432no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—816no—
1067C24—816no—
1068C24—816no—
1069C24—816no—
1070C24—816no—
1071C24—816no—
1072C24C22×D411yescharacteristic
1073C24C22×D411yescharacteristic
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—82no—
1080#41—82no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8C22×D412yes—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—22no—
1106C2×D4—22no—
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—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
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—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—432no—
1183C2×D4—432no—
1184C2×D4—432no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—816no—
1235C2×D4—816no—
1236C2×D4—816no—
1237C2×D4C22×D412yes—
1238C2×D4C22×D412yes—
1239C2×D4C22×D412yes—
1240C2×D4H(5,𝔽2)12yes—
1241C2×D4H(5,𝔽2)12yes—
1242C2×D4H(5,𝔽2)12yes—
1243C2×D4H(5,𝔽2)12yes—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—22no—
1249C22×C4—21no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—24no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4C22×D411yescharacteristic
1308C22×C4C22×D411yescharacteristic
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
1311C22×C4C22×D411yescharacteristic
1312C22×C4C22×D411yescharacteristic
1313C22×C4C22×D411yescharacteristic
1314C22×C4C22×D411yescharacteristic
1315C22×C4C22×D412yes—
1316C22×C4C22×D411yescharacteristic
1317C22×C4C22×D411yescharacteristic
1318C22×C4H(5,𝔽2)12yes—
1319C22×C4C2511yescharacteristic
1320SD16—28no—
1321SD16—44no—
1322SD16—44no—
1323SD16—44no—
1324SD16—44no—
1325SD16—44no—
1326SD16—82no—
1327SD16—82no—
1328SD16—82no—
1329SD16—82no—
1330D8—28no—
1331D8—44no—
1332D8—44no—
1333D8—44no—
1334D8—44no—
1335M16—44no—
1336M16—44no—
1337M16—44no—
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—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8C22×D412yes—
1361C2×C8C22×D412yes—
1362C4⋊C4—22no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
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—41no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—81no—
1390C4⋊C4—81no—
1391C4⋊C4—81no—
1392C4⋊C4—81no—
1393C4⋊C4—81no—
1394C4⋊C4—81no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
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—42no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4AGL(1,ℤ/8)14yescomplemented
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—42no—
1457C42—81no—
1458C42—81no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—48no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—48no—
1499C23—48no—
1500C23—48no—
1501C23—48no—
1502C23—48no—
1503C23—48no—
1504C23—44no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—48no—
1510C23—48no—
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—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—84no—
1543C23—84no—
1544C23—84no—
1545C23—84no—
1546C23—84no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23—84no—
1555C23—84no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23—84no—
1560C23—84no—
1561C23—84no—
1562C23—84no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23—8128no—
1578C23—84no—
1579C23—84no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23D4212yes—
1584C23C2×AGL(1,ℤ/8)12yes—
1585C23#57712yes—
1586C23C23×D411yescharacteristic
1587Q8—22no—
1588Q8—22no—
1589Q8—41no—
1590Q8—41no—
1591Q8—41no—
1592Q8—41no—
1593Q8—41no—
1594Q8—41no—
1595D4—22no—
1596D4—22no—
1597D4—22no—
1598D4—22no—
1599D4—22no—
1600D4—22no—
1601D4—22no—
1602D4—22no—
1603D4—22no—
1604D4—22no—
1605D4—22no—
1606D4—48no—
1607D4—44no—
1608D4—44no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—48no—
1615D4—41no—
1616D4—41no—
1617D4—41no—
1618D4—41no—
1619D4—41no—
1620D4—41no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634D4—84no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—162no—
1642D4—162no—
1643D4—162no—
1644D4#53414yes—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—84no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4D4212yes—
1728C2×C4C2×AGL(1,ℤ/8)12yes—
1729C2×C4C2×AGL(1,ℤ/8)12yes—
1730C2×C4C23×D411yescharacteristic
1731C2×C4C2×H(5,𝔽2)11yescharacteristic
1732C2×C4C2×H(5,𝔽2)11yescharacteristic
1733C2×C4C2×H(5,𝔽2)11yescharacteristic
1734C2×C4C2×H(5,𝔽2)11yescharacteristic
1735C2×C4C2×H(5,𝔽2)11yescharacteristic
1736C8—22no—
1737C8—22no—
1738C8—41no—
1739C8—41no—
1740C8—41no—
1741C8—41no—
1742C8—41no—
1743C8—41no—
1744C22—22no—
1745C22—24no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—416no—
1755C22—41no—
1756C22—41no—
1757C22—42no—
1758C22—41no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—816no—
1793C22—816no—
1794C22—816no—
1795C22—816no—
1796C22—816no—
1797C22—816no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—168no—
1822C22C2×D4211yescharacteristic
1823C22#348411yescharacteristic
1824C22#348411yescharacteristic
1825C22C22×AGL(1,ℤ/8)11yescharacteristic
1826C22C2×#57711yescharacteristic
1827C22#358511yescharacteristic
1828C22#358511yescharacteristic
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—81no—
1841C4—81no—
1842C4—81no—
1843C4—81no—
1844C4—81no—
1845C4—81no—
1846C4—81no—
1847C4—81no—
1848C4—81no—
1849C4C2×#53411yescharacteristic
1850C4#348411yescharacteristic
1851C4#353211yescharacteristic
1852C4#353211yescharacteristic
1853C2—42no—
1854C2—42no—
1855C2—42no—
1856C2—44no—
1857C2—81no—
1858C2—82no—
1859C2—82no—
1860C2—82no—
1861C2—82no—
1862C2—161no—
1863C2#3764411yescharacteristic
1864C2D4×AGL(1,ℤ/8)11yescharacteristic
1865C2#6107111yescharacteristic
1866C2#6158211yescharacteristic
1867C2#6160011yescharacteristic
1868C2#6161011yescharacteristic
1869C2#6164311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ 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×#3003C2semidirect
3. #39884C2semidirect
4. D4×#120C2semidirect
5. #32881C2semidirect
6. #31063C2semidirect
7. #31057C2semidirect
8. #31000C2semidirect
9. #30984C2semidirect
10. #30456C2semidirect
11. #30456C2semidirect
12. #30424C2semidirect
13. #30420C2semidirect
14. #29744C2semidirect
15. #29600C2semidirect
16. #28365C2semidirect
17. #28110C2semidirect
18. #25176C2semidirect
19. #25156C2semidirect
20. #24897C2semidirect
21. #24893C2semidirect
22. #24538C2semidirect
23. #24370C2semidirect
24. #24252C2semidirect
25. #24240C2semidirect
26. #24044C2semidirect
27. #23864C2semidirect
28. #23860C2semidirect
29. #23860C2semidirect
30. #22443C2semidirect
31. #22038C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C2×#547C22semidirect
40. C2×#525C22semidirect
43. C2×#492C22semidirect
44. C2×#482C22semidirect
45. C2×#468C22semidirect
46. C2×#468C22semidirect
47. C2×#460C22semidirect
48. C2×#460C22semidirect
49. C2×#461C22semidirect
50. C2×#459C22semidirect
52. C2×#449C22semidirect
53. C2×#449C22semidirect
54. C2×#449C22semidirect
55. C2×#449C22semidirect
61. C2×#450C22semidirect
62. C2×#450C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#440C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×C4×D8C22semidirect
74. C2×#436C22semidirect
76. C2×#418C22semidirect
77. C2×#407C22semidirect
78. #2848C22semidirect
88. #2538C22semidirect
89. #2536C22semidirect
90. #2499C22semidirect
91. #2485C22semidirect
95. #2429C22semidirect
96. #2429C22semidirect
97. #2422C22semidirect
98. #2420C22semidirect
105. #2407C22semidirect
106. #2407C22semidirect
110. #2341C22semidirect
116. #2093C22semidirect
117. #2092C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2073C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2035C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2013C22semidirect
145. #2013C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1970C22semidirect
159. #1968C22semidirect
160. #1961C22semidirect
161. #1957C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
194. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1779C22semidirect
204. #1753C22semidirect
207. C22×#41C23semidirect
236. C2×AGL(1,ℤ/8)D4semidirect
245. C22×SD16C23semidirect
246. C22×SD16C23semidirect
251. C22×D8C23semidirect
254. C22×M16C23semidirect
263. C2×C4⋊Q8C23semidirect
278. C2×C22⋊Q8C23semidirect
310. C2×C4×Q8C23semidirect
311. C2×C4×Q8C23semidirect
320. C2×C4×D4C23semidirect
357. C2×#107C23semidirect
358. C2×#107C23semidirect
359. C2×#107C23semidirect
360. C2×#106C23semidirect
361. C2×#106C23semidirect
362. C2×C4⋊C8C23semidirect
363. C2×C4⋊C8C23semidirect
364. C2×C4⋊C8C23semidirect
367. C2×#103C23semidirect
368. C2×#103C23semidirect
369. C2×#103C23semidirect
370. C2×#103C23semidirect
371. C2×#103C23semidirect
372. C2×#103C23semidirect
393. C2×#102C23semidirect
394. C2×#102C23semidirect
395. C2×#102C23semidirect
396. C2×#102C23semidirect
397. C2×#102C23semidirect
398. C2×#102C23semidirect
399. C2×#102C23semidirect
400. C2×#102C23semidirect
412. C2×C22⋊C8C23semidirect
413. C2×C22⋊C8C23semidirect
414. C2×C22⋊C8C23semidirect
415. C2×#97C23semidirect
416. C2×C4×C8C23semidirect
417. C2×C4×C8C23semidirect
450. #391C23semidirect
451. #391C23semidirect
461. #390C23semidirect
462. #390C23semidirect
466. #389C23semidirect
467. #389C23semidirect
500. #384C23semidirect
501. #382C23semidirect
510. #380C23semidirect
511. #380C23semidirect
524. #340C23semidirect
525. #340C23semidirect
526. #340C23semidirect
527. #340C23semidirect
528. #340C23semidirect
529. #340C23semidirect
530. #340C23semidirect
531. #340C23semidirect
532. #340C23semidirect
533. #340C23semidirect
534. #336C23semidirect
535. #336C23semidirect
536. #336C23semidirect
537. #336C23semidirect
538. #336C23semidirect
539. #336C23semidirect
566. C2×#41C2×D4semidirect
716. C2×SD16C2×D4semidirect
731. C2×D8C2×D4semidirect
740. C2×M16C2×D4semidirect
1449. C22⋊C4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#30032
#398842
D4×#1202
#328812
#310632
#310572
#310002
#309842
#304562
#304242
#304202
#297442
#296002
#283652
#281102
#251762
#251562
#248972
#248932
#245382
#243702
#242522
#242402
#240442
#238642
#238602
#224432
#220382