Finite Group Databasebeta

← #7054012

Subgroups — #7054012

Order 512.

2660 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#58997C211yesmaximal, characteristic, complemented
4#39886C211yesmaximal, characteristic, complemented
5#31197C211yesmaximal, characteristic, complemented
6#30914C211yesmaximal, characteristic, complemented
7#30846C211yesmaximal, characteristic, complemented
8#30719C211yesmaximal, characteristic, complemented
9#30714C211yesmaximal, characteristic, complemented
10#30519C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#28905C211yesmaximal, characteristic, complemented
14#28493C211yesmaximal, characteristic, complemented
15#26801C211yesmaximal, characteristic, complemented
16#26617C211yesmaximal, characteristic, complemented
17#25794C211yesmaximal, characteristic, complemented
18#25757C211yesmaximal, characteristic, complemented
19#25554C211yesmaximal, characteristic, complemented
20#25414C211yesmaximal, characteristic, complemented
21#25139C211yesmaximal, characteristic, complemented
22#25116C211yesmaximal, characteristic, complemented
23#25092C211yesmaximal, characteristic, complemented
24#24492C211yesmaximal, characteristic, complemented
25#24448C211yesmaximal, characteristic, complemented
26#24384C211yesmaximal, characteristic, complemented
27#24378C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#22926C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×#555C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40#3325—28no—
41#3188—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#493C2211yescharacteristic, complemented
44C2×#486C2211yescharacteristic, complemented
45C2×#484C2211yescharacteristic, complemented
46C2×#481C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic
48C2×#482C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic, complemented
50C2×#476C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#466C2211yescharacteristic, complemented
58C2×#466C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#465C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#436C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic, complemented
77C2×#418C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic, complemented
79C22×C22⋊C8C2211yescharacteristic, complemented
80#2847C2211yescharacteristic, complemented
81#2710—21no—
82#2703—21no—
83#2675—21no—
84#2670—21no—
85#2669—21no—
86#2669—21no—
87#2631—21no—
88#2598—21no—
89#2544—21no—
90#2541C2211yescharacteristic
91#2541C2211yescharacteristic, complemented
92#2540C2211yescharacteristic, complemented
93#2492C2211yescharacteristic, complemented
94#2491C2211yescharacteristic, complemented
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic
97#2431C2211yescharacteristic, complemented
98#2428C2211yescharacteristic
99#2428C2211yescharacteristic
100#2428C2211yescharacteristic, complemented
101#2427C2211yescharacteristic, complemented
102#2424—21no—
103#2424—21no—
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic
106#2415C2211yescharacteristic, complemented
107#2414C2211yescharacteristic, complemented
108#2410—21no—
109#2410—21no—
110#2408C2211yescharacteristic
111#2407C2211yescharacteristic, complemented
112#2403—21no—
113#2361C2211yescharacteristic
114#2361C2211yescharacteristic
115#2347C2211yescharacteristic, complemented
116#2324—21no—
117C4×#120C2211yescharacteristic
118#2067C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2058C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1954C2211yescharacteristic, complemented
165#1942C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1853C2211yescharacteristic, complemented
195#1852C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234#555—24no—
235#555—42no—
236D42—24no—
237D42—42no—
238D42—42no—
239D42—48no—
240D42—42no—
241C2×C4⋊Q8C2311yescharacteristic
242C2×#127—21no—
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#124—21no—
249C2×#124—21no—
250C2×#124—21no—
251C2×#124C2311yescharacteristic
252#525—24no—
253#525—42no—
254C2×#123—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—24no—
271C2×#121—42no—
272C2×#121—42no—
273C2×#121—42no—
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
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×#120D411yescharacteristic
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×#117—21no—
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4—21no—
319C22×C22⋊C4—21no—
320#496—42no—
321#493—42no—
322#486—24no—
323#484—24no—
324#482—24no—
325#482—24no—
326#482D418yescomplemented
327#481—24no—
328#476—24no—
329#469—24no—
330#469—24no—
331#469—42no—
332#468—42no—
333#466—24no—
334#466—24no—
335#466—42no—
336#466—42no—
337#465—24no—
338#465—24no—
339#459—24no—
340#459—42no—
341#450—24no—
342#450—42no—
343#449—24no—
344#449—24no—
345#447—24no—
346#447—24no—
347#447—24no—
348#447—42no—
349#447—42no—
350C4×D8—24no—
351#436—24no—
352#435—42no—
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364#418—24no—
365#418—24no—
366#417—42no—
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
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
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399#407—42no—
400C2×C22⋊C8—24no—
401C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415#400—21no—
416#399—21no—
417#397—21no—
418#397—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#393—21no—
433#393—21no—
434#392—21no—
435#392—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#391—21no—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#389—21no—
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—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#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386D411yescharacteristic
493#386D411yescharacteristic
494#386D411yescharacteristic
495#385—21no—
496#385—21no—
497#385—21no—
498#385D411yescharacteristic
499#385D411yescharacteristic
500#385D411yescharacteristic
501#383—21no—
502#380—21no—
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#379—21no—
508#379D411yescharacteristic
509C4×C4⋊C4—21no—
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25C2×D411yescharacteristic
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8—21no—
545C22×Q8C2411yescharacteristic
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—82no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633AGL(1,ℤ/8)—416no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×M16—22no—
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—41no—
675C2×M16—41no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C22×C8—22no—
680C22×C8—22no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C4⋊Q8—22no—
694C4⋊Q8—41no—
695#127—22no—
696#127—22no—
697#127—41no—
698#127—41no—
699#127—41no—
700#127—41no—
701#127—41no—
702#127—41no—
703#127—44no—
704#127—82no—
705#124—44no—
706#124—41no—
707#124—41no—
708#124—44no—
709#124—82no—
710#123—44no—
711C22⋊Q8—22no—
712C22⋊Q8—22no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—44no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—44no—
750#121—44no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121C2×D414yes—
763#120—24no—
764#120—44no—
765#120—44no—
766#120—44no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—82no—
773#120—82no—
774#120—82no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—22no—
779C4×D4—22no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—44no—
788C4×D4—44no—
789C4×D4—44no—
790C4×D4—44no—
791#117—22no—
792#117—22no—
793#117—44no—
794#117—41no—
795#117C2×D414yescomplemented
796C2×C4⋊C4—22no—
797C2×C4⋊C4—22no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—41no—
809C2×C4⋊C4—41no—
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2×D411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—44no—
866C2×C22⋊C4—44no—
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C42—21no—
880C2×C42—21no—
881C2×C42—21no—
882C2×C42—21no—
883C2×C42—21no—
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887#107—22no—
888#107—22no—
889#107—41no—
890#107C2×D414yescomplemented
891#106—22no—
892#106—22no—
893#106—41no—
894#106C2×D414yescomplemented
895C4⋊C8—22no—
896C4⋊C8—41no—
897C4⋊C8—41no—
898#103—22no—
899#103—22no—
900#103—22no—
901#103—41no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102C2×D414yescomplemented
929#102C2×D414yescomplemented
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8C2×D414yescomplemented
941#97—22no—
942C4×C8—22no—
943C4×C8—41no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965C24—21no—
966C24—21no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—41no—
975C24—41no—
976C24—41no—
977C24—41no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24C22×D411yescharacteristic
1000C24C22×D411yescharacteristic
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003#41—44no—
1004#41—44no—
1005#41—82no—
1006#41—82no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—42no—
1014C2×Q8—81no—
1015C2×Q8—81no—
1016C2×D4—24no—
1017C2×D4—22no—
1018C2×D4—24no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—44no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—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—82no—
1110C2×D4—82no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
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—816no—
1159C2×D4—816no—
1160C2×D4—816no—
1161C2×D4—816no—
1162C2×D4C22×D412yes—
1163C2×D4H(5,𝔽2)12yes—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—22no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—82no—
1217C22×C4—82no—
1218C22×C4—82no—
1219C22×C4—82no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D412yes—
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4H(5,𝔽2)12yes—
1239C22×C4C2511yescharacteristic
1240SD16—44no—
1241SD16—44no—
1242SD16—82no—
1243SD16—82no—
1244D8—44no—
1245D8—44no—
1246D8—44no—
1247D8—82no—
1248D8—82no—
1249D8—82no—
1250D8—82no—
1251D8—82no—
1252M16—44no—
1253M16—82no—
1254M16—82no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—82no—
1277C2×C8—82no—
1278C2×C8C22×D412yes—
1279C2×C8C22×D412yes—
1280C2×C8H(5,𝔽2)12yes—
1281C4⋊C4—22no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4C22×D412yes—
1309C4⋊C4C22×D412yes—
1310C4⋊C4C22×D412yes—
1311C4⋊C4H(5,𝔽2)12yes—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—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—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4AGL(1,ℤ/8)14yescomplemented
1367C42—24no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—42no—
1375C42—42no—
1376C42—81no—
1377C42—81no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—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—82no—
1449C23—82no—
1450C23—82no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—82no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23D4212yes—
1474C23C2×AGL(1,ℤ/8)12yes—
1475C23#57612yes—
1476C23C23×D411yescharacteristic
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—162no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—44no—
1487D4—44no—
1488D4—48no—
1489D4—48no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—82no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
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—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
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—82no—
1612C2×C4—82no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—82no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4D4212yes—
1621C2×C4C2×AGL(1,ℤ/8)12yes—
1622C2×C4C2×AGL(1,ℤ/8)12yes—
1623C2×C4C23×D411yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4#58511yescharacteristic
1629C8—22no—
1630C8—22no—
1631C8—22no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—88no—
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—168no—
1709C22—168no—
1710C22—168no—
1711C22C2×D4211yescharacteristic
1712C22#348411yescharacteristic
1713C22#349611yescharacteristic
1714C22C22×AGL(1,ℤ/8)11yescharacteristic
1715C22C2×#57611yescharacteristic
1716C22#358411yescharacteristic
1717C22#358511yescharacteristic
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4#348811yescharacteristic
1739C4#349811yescharacteristic
1740C4#353211yescharacteristic
1741C4#354211yescharacteristic
1742C2—42no—
1743C2—42no—
1744C2—42no—
1745C2—81no—
1746C2—82no—
1747C2—82no—
1748C2—161no—
1749C2—161no—
1750C2—161no—
1751C2—161no—
1752C2#4388611yescharacteristic
1753C2#6105611yescharacteristic
1754C2D4×AGL(1,ℤ/8)11yescharacteristic
1755C2#6159111yescharacteristic
1756C2#6162511yescharacteristic
1757C2#6225911yescharacteristic
1758C2#6231511yescharacteristic
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×#3325C2semidirect
2. C2×#3188C2semidirect
3. #58997C2semidirect
4. #39886C2semidirect
5. #31197C2semidirect
6. #30914C2semidirect
7. #30846C2semidirect
8. #30719C2semidirect
9. #30714C2semidirect
10. #30519C2semidirect
11. #30501C2semidirect
12. #30460C2semidirect
13. #28905C2semidirect
14. #28493C2semidirect
15. #26801C2semidirect
16. #26617C2semidirect
17. #25794C2semidirect
18. #25757C2semidirect
19. #25554C2semidirect
20. #25414C2semidirect
21. #25139C2semidirect
22. #25116C2semidirect
23. #25092C2semidirect
24. #24492C2semidirect
25. #24448C2semidirect
26. #24384C2semidirect
27. #24378C2semidirect
28. #23860C2semidirect
29. #23391C2semidirect
30. #22926C2semidirect
31. #22848C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C2×#555C22semidirect
37. C2×#525C22semidirect
42. C2×#496C22semidirect
43. C2×#493C22semidirect
44. C2×#486C22semidirect
45. C2×#484C22semidirect
46. C2×#481C22semidirect
48. C2×#482C22semidirect
49. C2×#482C22semidirect
50. C2×#476C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#466C22semidirect
56. C2×#466C22semidirect
57. C2×#466C22semidirect
58. C2×#466C22semidirect
59. C2×#465C22semidirect
60. C2×#465C22semidirect
61. C2×#459C22semidirect
62. C2×#459C22semidirect
64. C2×#449C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#436C22semidirect
74. C2×#435C22semidirect
75. C2×#417C22semidirect
76. C2×#418C22semidirect
77. C2×#418C22semidirect
78. C2×#407C22semidirect
79. C22×C22⋊C8C22semidirect
80. #2847C22semidirect
91. #2541C22semidirect
92. #2540C22semidirect
93. #2492C22semidirect
94. #2491C22semidirect
97. #2431C22semidirect
100. #2428C22semidirect
101. #2427C22semidirect
106. #2415C22semidirect
107. #2414C22semidirect
111. #2407C22semidirect
115. #2347C22semidirect
118. #2067C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2058C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
133. #2033C22semidirect
134. #2023C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1982C22semidirect
161. #1972C22semidirect
162. #1970C22semidirect
163. #1968C22semidirect
164. #1954C22semidirect
165. #1942C22semidirect
166. #1936C22semidirect
167. #1933C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1921C22semidirect
175. #1919C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1877C22semidirect
185. #1875C22semidirect
186. #1874C22semidirect
187. #1874C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1862C22semidirect
192. #1862C22semidirect
193. #1854C22semidirect
194. #1853C22semidirect
195. #1852C22semidirect
196. #1851C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1776C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1736C22semidirect
326. #482D4semidirect
795. #117C2×D4semidirect
890. #107C2×D4semidirect
894. #106C2×D4semidirect
928. #102C2×D4semidirect
929. #102C2×D4semidirect
940. C22⋊C8C2×D4semidirect
1366. 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×#33252
C2×#31882
#589972
#398862
#311972
#309142
#308462
#307192
#307142
#305192
#305012
#304602
#289052
#284932
#268012
#266172
#257942
#257572
#255542
#254142
#251392
#251162
#250922
#244922
#244482
#243842
#243782
#238602
#233912
#229262
#228482