Finite Group Databasebeta

← #7055953

Subgroups — #7055953

Order 512.

2434 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3308C211yesmaximal, characteristic, complemented
2C2×#3294C211yesmaximal, characteristic, complemented
3#59131C211yesmaximal, characteristic, complemented
4#39359C211yesmaximal, characteristic, complemented
5#31138C211yesmaximal, characteristic, complemented
6#31132C211yesmaximal, characteristic, complemented
7#30898C211yesmaximal, characteristic, complemented
8#30875C211yesmaximal, characteristic, complemented
9#30725C211yesmaximal, characteristic, complemented
10#30715C211yesmaximal, characteristic, complemented
11#30468C211yesmaximal, characteristic, complemented
12#30462C211yesmaximal, characteristic, complemented
13#28572C211yesmaximal, characteristic, complemented
14#27270C211yesmaximal, characteristic, complemented
15#27262C211yesmaximal, characteristic, complemented
16#26916C211yesmaximal, characteristic, complemented
17#26890C211yesmaximal, characteristic, complemented
18#25731C211yesmaximal, characteristic, complemented
19#25422C211yesmaximal, characteristic, complemented
20#25419C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#25114C211yesmaximal, characteristic, complemented
23#24444C211yesmaximal, characteristic, complemented
24#24439C211yesmaximal, characteristic, complemented
25#24434C211yesmaximal, characteristic, complemented
26#24424C211yesmaximal, characteristic, complemented
27#23961C211yesmaximal, characteristic, complemented
28#23960C211yesmaximal, characteristic, complemented
29C2×#2042C211yesmaximal, characteristic, complemented
30#23117C211yesmaximal, characteristic, complemented
31#22081C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537—21no—
38C22×#124C2211yescharacteristic
39#3308—28no—
40#3294—28no—
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic, complemented
44C2×#486C2211yescharacteristic
45C2×#484C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#480C2211yescharacteristic
48C2×#477C2211yescharacteristic, complemented
49C2×#474C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#448C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#440C2211yescharacteristic, complemented
67C2×C4×D8C2211yescharacteristic
68C2×#435C2211yescharacteristic, complemented
69C2×C8×D4C2211yescharacteristic
70C2×#417C2211yescharacteristic, complemented
71C22×#103C2211yescharacteristic, complemented
72C22×#103C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74C22×#102C2211yescharacteristic
75C22×#102C2211yescharacteristic
76#2856C2211yescharacteristic, complemented
77#2683—21no—
78#2682—21no—
79#2681—21no—
80#2681—21no—
81#2672—21no—
82#2670—21no—
83#2618—21no—
84#2555—21no—
85#2544C2211yescharacteristic
86#2540C2211yescharacteristic
87#2472—21no—
88#2452C2211yescharacteristic, complemented
89#2452C2211yescharacteristic, complemented
90#2440C2211yescharacteristic, complemented
91#2440C2211yescharacteristic, complemented
92#2435C2211yescharacteristic
93#2431C2211yescharacteristic
94#2430—21no—
95#2430—21no—
96#2428C2211yescharacteristic, complemented
97#2428C2211yescharacteristic, complemented
98#2427C2211yescharacteristic
99#2426C2211yescharacteristic
100#2424—21no—
101#2418—21no—
102#2416C2211yescharacteristic
103#2416C2211yescharacteristic, complemented
104#2416C2211yescharacteristic, complemented
105#2416C2211yescharacteristic, complemented
106#2410—21no—
107#2409C2211yescharacteristic
108#2408C2211yescharacteristic
109#2367C2211yescharacteristic
110D4×C22⋊C4—21no—
111C4×#121C2211yescharacteristic
112C4×#121C2211yescharacteristic
113C2×#389C2211yescharacteristic, complemented
114#2083C2211yescharacteristic, complemented
115#2071C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2033C2211yescharacteristic
135#2024C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic
138#2023C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1959C2211yescharacteristic
157#1959C2211yescharacteristic, complemented
158#1943C2211yescharacteristic, complemented
159#1943C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1936C2211yescharacteristic, complemented
162#1936C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1921C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1864C2211yescharacteristic, complemented
195#1863C2211yescharacteristic, complemented
196#1862C2211yescharacteristic
197#1853C2211yescharacteristic, complemented
198#1823C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1749C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#548—24no—
227#548—42no—
228#547—24no—
229#547—24no—
230#547—42no—
231#547—42no—
232#546—42no—
233#546—42no—
234D42—24no—
235D42—42no—
236#537—48no—
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#124—21no—
242C2×#124—21no—
243C2×#124—21no—
244C2×#124—42no—
245C2×#124—42no—
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121D411yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C22×C4⋊C4—21no—
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C22⋊C4—21no—
308C22×C22⋊C4—21no—
309C22×C22⋊C4—21no—
310C22×C42C2311yescharacteristic
311#496—42no—
312#496—42no—
313#489—24no—
314#486—24no—
315#484—24no—
316#480—24no—
317#480D418yescomplemented
318#477—24no—
319#474—24no—
320#469—42no—
321#468—24no—
322#466—24no—
323#466—24no—
324#466—24no—
325#465—42no—
326#463—24no—
327#459—24no—
328#449—24no—
329#449—42no—
330#448—24no—
331#448—42no—
332#447—24no—
333#447—24no—
334#447—42no—
335#447—42no—
336#440—24no—
337C4×D8—24no—
338#435—24no—
339C8×D4—24no—
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#417—24no—
349C2×#103—24no—
350C2×#103—42no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#102—24no—
364C2×#102—24no—
365C2×#102—42no—
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×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402#399—21no—
403#398—21no—
404#398—21no—
405#397—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#395—21no—
414#395—21no—
415#395—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—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#393—21no—
430#393—21no—
431#393—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390D411yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#389—21no—
454#389—21no—
455#389D411yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388D411yescharacteristic
468#388D411yescharacteristic
469#386—21no—
470#386—21no—
471#386—21no—
472#386—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#386—21no—
482#386D411yescharacteristic
483#386D411yescharacteristic
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384C2311yescharacteristic
491#380—21no—
492#380D411yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4C2311yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C2×#95—21no—
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528C25—21no—
529C25—21no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—44no—
535C2×#41—44no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—44no—
539C2×#41—44no—
540C2×#41—82no—
541C2×#41—82no—
542C22×Q8—21no—
543C22×Q8—21no—
544C22×Q8—21no—
545C22×Q8—22no—
546C22×Q8—22no—
547C22×Q8—22no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
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—22no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—44no—
583C22×D4—44no—
584C22×D4—82no—
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4C2×D411yescharacteristic
604C23×C4C2×D411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×M16—22no—
639C2×M16—41no—
640C2×M16—41no—
641C22×C8—22no—
642C22×C8—22no—
643C22×C8—22no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C4⋊Q8—22no—
659C4⋊Q8—22no—
660C4⋊Q8—41no—
661C4⋊Q8—41no—
662#127—22no—
663#127—41no—
664#127—41no—
665#127—41no—
666#124—22no—
667#124—22no—
668#124—22no—
669#124—22no—
670#124—22no—
671#124—41no—
672#124—41no—
673#124—41no—
674#124—41no—
675#124—41no—
676#124—44no—
677#124—44no—
678#124—44no—
679#123—44no—
680#123—44no—
681#123—44no—
682#123—44no—
683#123—44no—
684C22⋊Q8—22no—
685C22⋊Q8—22no—
686C22⋊Q8—44no—
687C22⋊Q8—44no—
688C22⋊Q8—44no—
689C22⋊Q8—44no—
690C22⋊Q8—44no—
691C22⋊Q8—41no—
692C22⋊Q8—41no—
693C22⋊Q8—44no—
694C22⋊Q8—44no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697#121—24no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—44no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—82no—
728#121C2×D414yes—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—82no—
733C4×Q8—22no—
734C4×Q8—41no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—44no—
750C4×D4—82no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4—44no—
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2×D411yescharacteristic
781C2×C4⋊C4C2×D414yes—
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
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⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—44no—
838C2×C22⋊C4—44no—
839C2×C22⋊C4—44no—
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C42—21no—
851C2×C42—21no—
852C2×C42—41no—
853C2×C42—41no—
854C2×C42C2×D411yescharacteristic
855C2×C42C2×D411yescharacteristic
856C2×C42C2411yescharacteristic
857C2×C42C2411yescharacteristic
858C2×C42C2411yescharacteristic
859C2×C42C2411yescharacteristic
860#107—22no—
861#107—22no—
862#107C2×D414yes—
863#107C2×D414yes—
864#106—41no—
865#106—41no—
866C4⋊C8—22no—
867C4⋊C8—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—22no—
872#103—22no—
873#103—22no—
874#103—22no—
875#103—22no—
876#103—41no—
877#103—41no—
878#103—41no—
879#103—41no—
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—22no—
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#102C2×D414yes—
903#102C2×D414yes—
904C22⋊C8—22no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8C2×D414yes—
912#97—22no—
913#97—41no—
914#97—41no—
915C4×C8—22no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
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#95C2×D411yescharacteristic
932#95C2×D411yescharacteristic
933#95C2×D411yescharacteristic
934#95C2×D411yescharacteristic
935#95C2×D411yescharacteristic
936#95C2×D411yescharacteristic
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—42no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959#41—44no—
960#41—82no—
961#41—816no—
962#41—82no—
963#41—82no—
964#41—816no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—42no—
977C2×Q8—42no—
978C2×Q8—42no—
979C2×Q8—42no—
980C2×Q8—44no—
981C2×Q8—44no—
982C2×Q8—42no—
983C2×Q8—42no—
984C2×Q8—81no—
985C2×Q8—81no—
986C2×Q8—81no—
987C2×Q8—82no—
988C2×Q8—82no—
989C2×Q8H(5,𝔽2)12yes—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—24no—
994C2×D4—22no—
995C2×D4—22no—
996C2×D4—22no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
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—44no—
1026C2×D4—44no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—44no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
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—82no—
1059C2×D4—82no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—816no—
1086C2×D4AGL(1,ℤ/8)14yes—
1087C2×D4C22×D412yes—
1088C2×D4H(5,𝔽2)12yes—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—24no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D412yes—
1163C22×C4C22×D411yescharacteristic
1164C22×C4H(5,𝔽2)12yes—
1165C22×C4C2511yescharacteristic
1166SD16—44no—
1167SD16—82no—
1168SD16—82no—
1169SD16—82no—
1170D8—44no—
1171D8—82no—
1172D8—82no—
1173D8—82no—
1174D8—82no—
1175D8—82no—
1176M16—82no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—82no—
1200C2×C8—82no—
1201C2×C8—82no—
1202C2×C8C22×D412yes—
1203C2×C8C22×D412yes—
1204C4⋊C4—24no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4C22×D412yes—
1244C4⋊C4C22×D412yes—
1245C4⋊C4C22×D412yes—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—24no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—41no—
1309C42—41no—
1310C42—42no—
1311C42—81no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—22no—
1326C23—22no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—84no—
1365C23—84no—
1366C23—84no—
1367C23—84no—
1368C23—84no—
1369C23—84no—
1370C23—84no—
1371C23—162no—
1372C23—162no—
1373C23—162no—
1374C23—162no—
1375C23—162no—
1376C23—162no—
1377C23—162no—
1378C23D4212yes—
1379C23C2×AGL(1,ℤ/8)12yes—
1380C23C2×AGL(1,ℤ/8)12yes—
1381C23#57612yes—
1382C23C23×D411yescharacteristic
1383Q8—22no—
1384Q8—22no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—84no—
1392Q8—84no—
1393Q8—84no—
1394D4—28no—
1395D4—22no—
1396D4—22no—
1397D4—22no—
1398D4—22no—
1399D4—44no—
1400D4—48no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—84no—
1418D4—84no—
1419D4—82no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—162no—
1428D4—162no—
1429D4—162no—
1430D4—162no—
1431D4—162no—
1432D4—162no—
1433D4—162no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—48no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—84no—
1520C2×C4—162no—
1521C2×C4—162no—
1522C2×C4D4212yes—
1523C2×C4C2×AGL(1,ℤ/8)12yes—
1524C2×C4C23×D411yescharacteristic
1525C2×C4C2×H(5,𝔽2)11yescharacteristic
1526C2×C4C2×H(5,𝔽2)11yescharacteristic
1527C2×C4C2×H(5,𝔽2)11yescharacteristic
1528C2×C4#58511yescharacteristic
1529C2×C4#58511yescharacteristic
1530C8—22no—
1531C8—22no—
1532C8—41no—
1533C8—41no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—42no—
1553C22—41no—
1554C22—41no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22—41no—
1563C22—42no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—168no—
1594C22—168no—
1595C22#326414yes—
1596C22C2×D4211yescharacteristic
1597C22#348411yescharacteristic
1598C22#350011yescharacteristic
1599C22C22×AGL(1,ℤ/8)11yescharacteristic
1600C22C2×#57611yescharacteristic
1601C22#358411yescharacteristic
1602C22#358611yescharacteristic
1603C4—22no—
1604C4—22no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—81no—
1619C4—81no—
1620C4—81no—
1621C4—81no—
1622C4—81no—
1623C4—81no—
1624C4—81no—
1625C4#348811yescharacteristic
1626C4#348811yescharacteristic
1627C4#353411yescharacteristic
1628C4#353411yescharacteristic
1629C2—24no—
1630C2—42no—
1631C2—81no—
1632C2—82no—
1633C2—82no—
1634C2—161no—
1635C2—161no—
1636C2—161no—
1637C2#4388911yescharacteristic
1638C2C2×#326411yescharacteristic
1639C2#6109611yescharacteristic
1640C2#6159811yescharacteristic
1641C2#6162411yescharacteristic
1642C2#6255811yescharacteristic
1643C2#6258311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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×#3308C2semidirect
2. C2×#3294C2semidirect
3. #59131C2semidirect
4. #39359C2semidirect
5. #31138C2semidirect
6. #31132C2semidirect
7. #30898C2semidirect
8. #30875C2semidirect
9. #30725C2semidirect
10. #30715C2semidirect
11. #30468C2semidirect
12. #30462C2semidirect
13. #28572C2semidirect
14. #27270C2semidirect
15. #27262C2semidirect
16. #26916C2semidirect
17. #26890C2semidirect
18. #25731C2semidirect
19. #25422C2semidirect
20. #25419C2semidirect
21. #25124C2semidirect
22. #25114C2semidirect
23. #24444C2semidirect
24. #24439C2semidirect
25. #24434C2semidirect
26. #24424C2semidirect
27. #23961C2semidirect
28. #23960C2semidirect
29. C2×#2042C2semidirect
30. #23117C2semidirect
31. #22081C2semidirect
34. C2×#547C22semidirect
42. C2×#496C22semidirect
43. C2×#489C22semidirect
45. C2×#484C22semidirect
48. C2×#477C22semidirect
51. C2×#468C22semidirect
55. C2×#465C22semidirect
56. C2×#463C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#448C22semidirect
61. C2×#448C22semidirect
66. C2×#440C22semidirect
68. C2×#435C22semidirect
70. C2×#417C22semidirect
71. C22×#103C22semidirect
72. C22×#103C22semidirect
76. #2856C22semidirect
88. #2452C22semidirect
89. #2452C22semidirect
90. #2440C22semidirect
91. #2440C22semidirect
96. #2428C22semidirect
97. #2428C22semidirect
103. #2416C22semidirect
104. #2416C22semidirect
105. #2416C22semidirect
113. C2×#389C22semidirect
114. #2083C22semidirect
115. #2071C22semidirect
116. #2066C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
124. #2042C22semidirect
125. #2042C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
135. #2024C22semidirect
136. #2024C22semidirect
138. #2023C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1972C22semidirect
155. #1968C22semidirect
157. #1959C22semidirect
158. #1943C22semidirect
159. #1943C22semidirect
161. #1936C22semidirect
162. #1936C22semidirect
163. #1933C22semidirect
164. #1925C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1921C22semidirect
169. #1921C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1864C22semidirect
194. #1864C22semidirect
195. #1863C22semidirect
197. #1853C22semidirect
198. #1823C22semidirect
199. #1788C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. #1749C22semidirect
204. C2×#336C22semidirect
317. #480D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33082
C2×#32942
#591312
#393592
#311382
#311322
#308982
#308752
#307252
#307152
#304682
#304622
#285722
#272702
#272622
#269162
#268902
#257312
#254222
#254192
#251242
#251142
#244442
#244392
#244342
#244242
#239612
#239602
C2×#20422
#231172
#220812