Finite Group Databasebeta

← #7522304

Subgroups — #7522304

Order 512.

2712 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C22×#460C211yesmaximal, characteristic, complemented
3#59126C211yesmaximal, characteristic
4#36232C211yesmaximal, characteristic, complemented
5#31004C211yesmaximal, characteristic, complemented
6#30988C211yesmaximal, characteristic, complemented
7#30612C211yesmaximal, characteristic, complemented
8#30596C211yesmaximal, characteristic, complemented
9#28435C211yesmaximal, characteristic, complemented
10#26947C211yesmaximal, characteristic, complemented
11#26935C211yesmaximal, characteristic, complemented
12#25860C211yesmaximal, characteristic, complemented
13#25583C211yesmaximal, characteristic, complemented
14#25402C211yesmaximal, characteristic, complemented
15#25332C211yesmaximal, characteristic, complemented
16#25093C211yesmaximal, characteristic, complemented
17#25080C211yesmaximal, characteristic, complemented
18#24873C211yesmaximal, characteristic, complemented
19#24861C211yesmaximal, characteristic, complemented
20#24839C211yesmaximal, characteristic, complemented
21#24644C211yesmaximal, characteristic, complemented
22#24269C211yesmaximal, characteristic, complemented
23#24264C211yesmaximal, characteristic, complemented
24#24252C211yesmaximal, characteristic, complemented
25#23849C211yesmaximal, characteristic, complemented
26#23849C211yesmaximal, characteristic, complemented
27#23106C211yesmaximal, characteristic, complemented
28#22987C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30D4×#102C211yesmaximal, characteristic, complemented
31#21454C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic, complemented
34C2×#552C2211yescharacteristic, complemented
35C2×D42—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C22×#127C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic, complemented
41#3310—28no—
42C2×#490C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#460—28no—
52C2×#460C2211yescharacteristic
53C2×#460C2211yescharacteristic
54C2×#460C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#448C2211yescharacteristic
61C2×#450C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#440C2211yescharacteristic, complemented
66C2×#440C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×C8×D4C2211yescharacteristic, complemented
70C22×C4⋊C8C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75#2852—21no—
76#2851C2211yescharacteristic, complemented
77#2669—21no—
78#2669—21no—
79#2604—21no—
80#2599—21no—
81#2565C2211yescharacteristic, complemented
82#2541C2211yescharacteristic
83#2541C2211yescharacteristic
84#2536C2211yescharacteristic, complemented
85#2473—21no—
86#2462—21no—
87#2458—21no—
88#2443—21no—
89#2433—21no—
90#2433C2211yescharacteristic
91#2433C2211yescharacteristic
92#2428—21no—
93#2428C2211yescharacteristic
94#2428C2211yescharacteristic
95#2423C2211yescharacteristic, complemented
96#2421C2211yescharacteristic, complemented
97#2409C2211yescharacteristic, complemented
98#2409C2211yescharacteristic, complemented
99#2408—21no—
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic
102#2403—21no—
103#2403—21no—
104#2366C2211yescharacteristic
105#2362C2211yescharacteristic, complemented
106#2360C2211yescharacteristic, complemented
107#2356C2211yescharacteristic, complemented
108#2352C2211yescharacteristic, complemented
109D4×C4⋊C4C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic
112#2290—21no—
113#2093C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2087C2211yescharacteristic, complemented
117#2073C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1989C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1973C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1968C2211yescharacteristic, complemented
151#1968C2211yescharacteristic, complemented
152#1961C2211yescharacteristic
153#1961C2211yescharacteristic, complemented
154#1961C2211yescharacteristic, complemented
155#1957C2211yescharacteristic, complemented
156#1955C2211yescharacteristic, complemented
157#1949C2211yescharacteristic, complemented
158#1940C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1808C2211yescharacteristic, complemented
188#1807C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1787C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1771C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C23×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C22×SD16—24no—
216C22×SD16—24no—
217C22×SD16—42no—
218C22×SD16—42no—
219C22×SD16—42no—
220C22×SD16—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#552—24no—
236#552—42no—
237D42—24no—
238D42—24no—
239D42—24no—
240D42—42no—
241D42—42no—
242D42—42no—
243D42—48no—
244C2×#127—24no—
245C2×#127—21no—
246C2×#127—21no—
247C2×#127—21no—
248C2×#127—42no—
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#126—21no—
256C2×#125—21no—
257C2×#125C2311yescharacteristic
258C2×#123—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121D411yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×C4×Q8—21no—
291C2×C4×Q8—21no—
292C2×C4×Q8—24no—
293C2×C4×Q8—42no—
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×Q8C2311yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×#117—21no—
308C2×#117C2311yescharacteristic
309C22×C4⋊C4—21no—
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C42—21no—
313C22×C42C2311yescharacteristic
314#490—24no—
315#490—42no—
316#482—24no—
317#480—24no—
318#478—24no—
319#468—24no—
320#468—42no—
321#465—24no—
322#465—42no—
323#460—24no—
324#460—24no—
325#460—24no—
326#460—24no—
327#460—24no—
328#460—24no—
329#460—24no—
330#460D418yescomplemented
331#450—24no—
332#450—24no—
333#450—42no—
334#450—42no—
335#448—24no—
336#440—24no—
337#440—42no—
338#435—24no—
339#435—42no—
340C8×D4—42no—
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×C4⋊C8—24no—
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354#418—24no—
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102—24no—
362C2×#102—24no—
363C2×#102—24no—
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406#400—21no—
407#399—21no—
408#398—21no—
409#398—21no—
410#398—21no—
411#398—21no—
412#397—21no—
413#395—21no—
414#395—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#393—21no—
421#393—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#390—21no—
439#390—21no—
440#390D411yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#389—21no—
447#389—21no—
448#389D411yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388D411yescharacteristic
461#388D411yescharacteristic
462#387—21no—
463#387—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#387—21no—
469#387—21no—
470#387—21no—
471#387—21no—
472#387—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386D411yescharacteristic
482#386D411yescharacteristic
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384C2311yescharacteristic
491#383—21no—
492#382C2311yescharacteristic
493#382C2311yescharacteristic
494#380D411yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501#379—21no—
502C4×C4⋊C4—21no—
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
512#376—21no—
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531C25—21no—
532C25—21no—
533C25—21no—
534C25—21no—
535C22×Q8—21no—
536C22×Q8—22no—
537C22×Q8—22no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—41no—
541C22×Q8—41no—
542C22×Q8C2411yescharacteristic
543C22×Q8C2411yescharacteristic
544C22×D4—21no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—21no—
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—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
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—44no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—82no—
601C22×D4—82no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4—82no—
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4C2×D411yescharacteristic
621C23×C4C2×D411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—416no—
654C2×SD16—416no—
655C2×SD16C2×D414yescomplemented
656C2×SD16C2×D414yescomplemented
657C2×M16—22no—
658C2×M16—41no—
659C2×M16—41no—
660C22×C8—22no—
661C22×C8—22no—
662C22×C8—22no—
663C22×C8—22no—
664C22×C8—22no—
665C22×C8—41no—
666C22×C8—41no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677#127—22no—
678#127—22no—
679#127—22no—
680#127—22no—
681#127—22no—
682#127—22no—
683#127—22no—
684#127—41no—
685#127—41no—
686#127—41no—
687#127—41no—
688#127—44no—
689#127—44no—
690#127—44no—
691#127C2×D414yes—
692#126—44no—
693#125—22no—
694#125—22no—
695#125—44no—
696#123—44no—
697C22⋊Q8—22no—
698C22⋊Q8—22no—
699C22⋊Q8—22no—
700C22⋊Q8—22no—
701C22⋊Q8—41no—
702C22⋊Q8—41no—
703C22⋊Q8—41no—
704C22⋊Q8—41no—
705#121—24no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—44no—
720#121—44no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—82no—
726#121#4114yes—
727#120—44no—
728#120—44no—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—44no—
736#120—44no—
737#120—82no—
738#120—82no—
739C4×Q8—22no—
740C4×Q8—22no—
741C4×Q8—22no—
742C4×Q8—22no—
743C4×Q8—22no—
744C4×Q8—44no—
745C4×Q8—41no—
746C4×Q8—41no—
747C4×Q8—44no—
748C4×Q8C2×D414yescomplemented
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—44no—
762C4×D4—44no—
763C4×D4—44no—
764#117—22no—
765#117—44no—
766#117—41no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—41no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4—44no—
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C42—21no—
844C2×C42—22no—
845C2×C42—22no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42—21no—
851C2×C42—21no—
852C2×C42—21no—
853C2×C42—44no—
854C2×C42C2×D411yescharacteristic
855C2×C42C2×D411yescharacteristic
856C2×C42C2411yescharacteristic
857C2×C42C2411yescharacteristic
858C2×C42C2411yescharacteristic
859C2×C42C2411yescharacteristic
860#107—22no—
861#107—22no—
862#107—41no—
863#107—41no—
864#106—22no—
865#106—41no—
866C4⋊C8—22no—
867C4⋊C8—22no—
868C4⋊C8—22no—
869C4⋊C8—41no—
870C4⋊C8—41no—
871C4⋊C8C2×D414yescomplemented
872#103—22no—
873#103—22no—
874#103—22no—
875#103—22no—
876#103—41no—
877#103—41no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102C2×D414yescomplemented
907#102C2×D414yescomplemented
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916#97—22no—
917#97—22no—
918#97—41no—
919C4×C8—41no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947#95C2×D411yescharacteristic
948#95C2×D411yescharacteristic
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24C22×D411yescharacteristic
983C24C22×D411yescharacteristic
984C24C22×D411yescharacteristic
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—28no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—44no—
999C2×Q8—44no—
1000C2×Q8—44no—
1001C2×Q8—42no—
1002C2×Q8C22×D412yes—
1003C2×Q8H(5,𝔽2)12yes—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—24no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—22no—
1012C2×D4—24no—
1013C2×D4—24no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
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—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—41no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—44no—
1070C2×D4—44no—
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—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—82no—
1089C2×D4—82no—
1090C2×D4—82no—
1091C2×D4—82no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—816no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—816no—
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—816no—
1127C2×D4—816no—
1128C2×D4—816no—
1129C2×D4AGL(1,ℤ/8)14yes—
1130C2×D4C22×D412yes—
1131C2×D4C22×D412yes—
1132C2×D4C2×#4112yes—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—22no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—22no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—41no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4C22×D411yescharacteristic
1185C22×C4C22×D411yescharacteristic
1186C22×C4C22×D411yescharacteristic
1187C22×C4C22×D411yescharacteristic
1188C22×C4C22×D411yescharacteristic
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C2×#4112yes—
1196C22×C4H(5,𝔽2)12yes—
1197C22×C4C2511yescharacteristic
1198SD16—44no—
1199SD16—44no—
1200SD16—44no—
1201SD16—44no—
1202SD16—44no—
1203SD16—44no—
1204SD16—44no—
1205SD16—44no—
1206SD16—44no—
1207SD16—44no—
1208M16—82no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—44no—
1232C2×C8—44no—
1233C2×C8—82no—
1234C2×C8C22×D412yes—
1235C2×C8C22×D412yes—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4C22×D412yes—
1275C4⋊C4C2×#4112yes—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—24no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
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—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C42—22no—
1317C42—22no—
1318C42—24no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—21no—
1325C42—42no—
1326C42—42no—
1327C42—42no—
1328C42—42no—
1329C42—42no—
1330C42—42no—
1331C42—81no—
1332C42C22×D412yes—
1333C42H(5,𝔽2)12yes—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—22no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—84no—
1387C23—84no—
1388C23—84no—
1389C23—84no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—84no—
1396C23—84no—
1397C23—84no—
1398C23—84no—
1399C23—84no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23—162no—
1404C23—162no—
1405C23—162no—
1406C23—162no—
1407C23—162no—
1408C23—162no—
1409C23—162no—
1410C23—162no—
1411C23—162no—
1412C23—162no—
1413C23—162no—
1414C23#54612yes—
1415C23C2×AGL(1,ℤ/8)12yes—
1416C23C2×AGL(1,ℤ/8)12yes—
1417C23#57712yes—
1418C23C23×D411yescharacteristic
1419Q8—22no—
1420Q8—22no—
1421Q8—22no—
1422Q8—22no—
1423Q8—48no—
1424Q8—41no—
1425Q8—41no—
1426Q8—41no—
1427Q8—41no—
1428D4—28no—
1429D4—22no—
1430D4—22no—
1431D4—22no—
1432D4—22no—
1433D4—22no—
1434D4—22no—
1435D4—44no—
1436D4—48no—
1437D4—44no—
1438D4—48no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—41no—
1446D4—41no—
1447D4—41no—
1448D4—41no—
1449D4—41no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458D4—84no—
1459D4—84no—
1460D4—84no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—162no—
1471D4—162no—
1472D4—162no—
1473D4—162no—
1474C2×C4—28no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4D4212yes—
1556C2×C4D4212yes—
1557C2×C4#54612yes—
1558C2×C4C2×AGL(1,ℤ/8)12yes—
1559C2×C4#57712yes—
1560C2×C4C23×D411yescharacteristic
1561C2×C4C22×#4111yescharacteristic
1562C2×C4C2×H(5,𝔽2)11yescharacteristic
1563C2×C4C2×H(5,𝔽2)11yescharacteristic
1564C2×C4C2×H(5,𝔽2)11yescharacteristic
1565C2×C4#58511yescharacteristic
1566C8—22no—
1567C8—22no—
1568C8—41no—
1569C8—41no—
1570C8—41no—
1571C8—41no—
1572C8—41no—
1573C8—41no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—168no—
1630C22—168no—
1631C22—168no—
1632C22—168no—
1633C22#331014yescomplemented
1634C22C2×D4211yescharacteristic
1635C22C2×#54611yescharacteristic
1636C22#348811yescharacteristic
1637C22C22×AGL(1,ℤ/8)11yescharacteristic
1638C22C2×#57711yescharacteristic
1639C22C2×#57711yescharacteristic
1640C22#358511yescharacteristic
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—81no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C4—81no—
1661C4—81no—
1662C4—81no—
1663C4D4×#4111yescharacteristic
1664C4#348411yescharacteristic
1665C4#351911yescharacteristic
1666C4#354211yescharacteristic
1667C2—24no—
1668C2—42no—
1669C2—81no—
1670C2—82no—
1671C2—82no—
1672C2—82no—
1673C2—161no—
1674C2—161no—
1675C2#5900411yescharacteristic
1676C2#6105011yescharacteristic
1677C2D4×AGL(1,ℤ/8)11yescharacteristic
1678C2C2×#331011yescharacteristic
1679C2#6120611yescharacteristic
1680C2#6198311yescharacteristic
1681C2#6200911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#59126C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3310C2semidirect
2. C22×#460C2semidirect
4. #36232C2semidirect
5. #31004C2semidirect
6. #30988C2semidirect
7. #30612C2semidirect
8. #30596C2semidirect
9. #28435C2semidirect
10. #26947C2semidirect
11. #26935C2semidirect
12. #25860C2semidirect
13. #25583C2semidirect
14. #25402C2semidirect
15. #25332C2semidirect
16. #25093C2semidirect
17. #25080C2semidirect
18. #24873C2semidirect
19. #24861C2semidirect
20. #24839C2semidirect
21. #24644C2semidirect
22. #24269C2semidirect
23. #24264C2semidirect
24. #24252C2semidirect
25. #23849C2semidirect
26. #23849C2semidirect
27. #23106C2semidirect
28. #22987C2semidirect
29. #22423C2semidirect
30. D4×#102C2semidirect
31. #21454C2semidirect
32. C23×SD16C22semidirect
33. C23×SD16C22semidirect
34. C2×#552C22semidirect
40. C22×C4×Q8C22semidirect
43. C2×#490C22semidirect
44. C2×#482C22semidirect
45. C2×#480C22semidirect
46. C2×#478C22semidirect
47. C2×#468C22semidirect
48. C2×#468C22semidirect
49. C2×#465C22semidirect
50. C2×#465C22semidirect
54. C2×#460C22semidirect
55. C2×#460C22semidirect
56. C2×#460C22semidirect
57. C2×#460C22semidirect
58. C2×#460C22semidirect
59. C2×#460C22semidirect
61. C2×#450C22semidirect
62. C2×#450C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#440C22semidirect
66. C2×#440C22semidirect
67. C2×#435C22semidirect
68. C2×#435C22semidirect
69. C2×C8×D4C22semidirect
70. C22×C4⋊C8C22semidirect
71. C2×#418C22semidirect
72. C22×#102C22semidirect
73. C22×#102C22semidirect
74. C22×#102C22semidirect
76. #2851C22semidirect
81. #2565C22semidirect
84. #2536C22semidirect
95. #2423C22semidirect
96. #2421C22semidirect
97. #2409C22semidirect
98. #2409C22semidirect
105. #2362C22semidirect
106. #2360C22semidirect
107. #2356C22semidirect
108. #2352C22semidirect
109. D4×C4⋊C4C22semidirect
113. #2093C22semidirect
114. #2092C22semidirect
115. #2088C22semidirect
116. #2087C22semidirect
117. #2073C22semidirect
118. #2071C22semidirect
119. #2067C22semidirect
120. #2065C22semidirect
121. #2055C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2014C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1989C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1973C22semidirect
149. #1973C22semidirect
150. #1968C22semidirect
151. #1968C22semidirect
153. #1961C22semidirect
154. #1961C22semidirect
155. #1957C22semidirect
156. #1955C22semidirect
157. #1949C22semidirect
158. #1940C22semidirect
159. #1926C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1923C22semidirect
165. #1895C22semidirect
168. #1893C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1863C22semidirect
183. #1863C22semidirect
184. #1852C22semidirect
185. #1851C22semidirect
186. #1850C22semidirect
187. #1808C22semidirect
188. #1807C22semidirect
189. #1804C22semidirect
190. #1804C22semidirect
191. #1802C22semidirect
192. #1787C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1771C22semidirect
200. #1763C22semidirect
201. #1763C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1749C22semidirect
330. #460D4semidirect
655. C2×SD16C2×D4semidirect
656. C2×SD16C2×D4semidirect
748. C4×Q8C2×D4semidirect
871. C4⋊C8C2×D4semidirect
906. #102C2×D4semidirect
907. #102C2×D4semidirect
1633. C22#3310semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C22×#4602
#591262
#362322
#310042
#309882
#306122
#305962
#284352
#269472
#269352
#258602
#255832
#254022
#253322
#250932
#250802
#248732
#248612
#248392
#246442
#242692
#242642
#242522
#238492
#231062
#229872
#224232
D4×#1022
#214542