Finite Group Databasebeta

← #7566128

Subgroups — #7566128

Order 512.

2317 conjugacy classes of subgroups.

The subgroup lattice has 1549 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3308C211yesmaximal, characteristic, complemented
2C22×#489C211yesmaximal, characteristic, complemented
3#59130C211yesmaximal, characteristic, complemented
4#59125C211yesmaximal, characteristic, complemented
5#30659C211yesmaximal, characteristic, complemented
6#30653C211yesmaximal, characteristic, complemented
7#30545C211yesmaximal, characteristic, complemented
8#30538C211yesmaximal, characteristic, complemented
9#28931C211yesmaximal, characteristic, complemented
10#28919C211yesmaximal, characteristic, complemented
11#28610C211yesmaximal, characteristic, complemented
12#28426C211yesmaximal, characteristic, complemented
13#27278C211yesmaximal, characteristic, complemented
14#27266C211yesmaximal, characteristic, complemented
15#25896C211yesmaximal, characteristic, complemented
16#25577C211yesmaximal, characteristic, complemented
17#25334C211yesmaximal, characteristic, complemented
18#25286C211yesmaximal, characteristic, complemented
19#25130C211yesmaximal, characteristic, complemented
20#25108C211yesmaximal, characteristic, complemented
21#24867C211yesmaximal, characteristic, complemented
22#24861C211yesmaximal, characteristic, complemented
23#24434C211yesmaximal, characteristic, complemented
24#24429C211yesmaximal, characteristic, complemented
25#24302C211yesmaximal, characteristic, complemented
26#24215C211yesmaximal, characteristic, complemented
27#23228C211yesmaximal, characteristic, complemented
28#22419C211yesmaximal, characteristic, complemented
29D4×#103C211yesmaximal, characteristic, complemented
30#21528C211yesmaximal, characteristic, complemented
31#21489C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2211yescharacteristic
33C2×#548—21no—
34C2×#548C2211yescharacteristic
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C22×#124C2211yescharacteristic
39#3308—28no—
40C2×#489—28no—
41C2×#489C2211yescharacteristic
42C2×#489C2211yescharacteristic
43C2×#489C2211yescharacteristic
44C2×#489C2211yescharacteristic
45C2×#489C2211yescharacteristic
46C2×#489C2211yescharacteristic
47C2×#489C2211yescharacteristic
48C2×#489C2211yescharacteristic
49C2×#484C2211yescharacteristic, complemented
50C2×#480C2211yescharacteristic
51C2×#477C2211yescharacteristic, complemented
52C2×#477C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#448C2211yescharacteristic
60C2×#448C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic
62C2×#440C2211yescharacteristic, complemented
63C2×#435C2211yescharacteristic
64C2×#435C2211yescharacteristic, complemented
65C2×C8×D4C2211yescharacteristic
66C2×#417C2211yescharacteristic
67C22×#103C2211yescharacteristic
68C22×#103C2211yescharacteristic
69C22×#103C2211yescharacteristic, complemented
70C22×#102C2211yescharacteristic
71C22×#102C2211yescharacteristic
72C22×#97C2211yescharacteristic
73#2676—21no—
74#2674—21no—
75#2674—21no—
76#2674—21no—
77#2547C2211yescharacteristic, complemented
78#2545C2211yescharacteristic
79#2542C2211yescharacteristic, complemented
80#2540C2211yescharacteristic
81#2491—21no—
82#2491C2211yescharacteristic, complemented
83#2491C2211yescharacteristic, complemented
84#2472—21no—
85#2461—21no—
86#2443—21no—
87#2443—21no—
88#2440C2211yescharacteristic, complemented
89#2440C2211yescharacteristic, complemented
90#2437—21no—
91#2436C2211yescharacteristic
92#2432—21no—
93#2432C2211yescharacteristic
94#2429—21no—
95#2427C2211yescharacteristic
96#2426C2211yescharacteristic
97#2424—21no—
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic
100#2409—21no—
101#2409C2211yescharacteristic
102#2408C2211yescharacteristic
103#2367C2211yescharacteristic
104#2365C2211yescharacteristic, complemented
105#2358—21no—
106D4×C4⋊C4C2211yescharacteristic
107D4×C4⋊C4C2211yescharacteristic
108C4×C22⋊Q8C2211yescharacteristic
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic
111#2095C2211yescharacteristic, complemented
112#2093C2211yescharacteristic
113#2072C2211yescharacteristic, complemented
114#2071C2211yescharacteristic
115#2068C2211yescharacteristic, complemented
116#2067C2211yescharacteristic
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2043C2211yescharacteristic, complemented
122#2042C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic
125#2036C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2024C2211yescharacteristic, complemented
134#2024C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1987C2211yescharacteristic, complemented
144#1987C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic
147#1983C2211yescharacteristic
148#1981C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1970C2211yescharacteristic
152#1959C2211yescharacteristic
153#1956C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1944C2211yescharacteristic, complemented
156#1940C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1935C2211yescharacteristic, complemented
159#1935C2211yescharacteristic, complemented
160#1934C2211yescharacteristic
161#1928C2211yescharacteristic, complemented
162#1928C2211yescharacteristic, complemented
163#1925C2211yescharacteristic
164#1925C2211yescharacteristic
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1894C2211yescharacteristic, complemented
169#1893C2211yescharacteristic
170#1893C2211yescharacteristic
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1872C2211yescharacteristic
178#1872C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic
185#1852C2211yescharacteristic
186#1852C2211yescharacteristic
187#1808C2211yescharacteristic
188#1803C2211yescharacteristic, complemented
189#1802C2211yescharacteristic
190#1797C2211yescharacteristic
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1787C2211yescharacteristic
194#1787C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C23×Q8—21no—
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220D4×Q8—24no—
221D4×Q8—42no—
222#548—24no—
223#548—42no—
224#548—48no—
225#547—24no—
226#547—42no—
227#546—24no—
228#546—42no—
229C2×C4⋊Q8—21no—
230C2×C4⋊Q8—24no—
231C2×C4⋊Q8—21no—
232C2×C4⋊Q8—21no—
233C2×C4⋊Q8—42no—
234C2×C4⋊Q8C2311yescharacteristic
235C2×C4⋊Q8C2311yescharacteristic
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×#124—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124—24no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124—42no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×C22⋊Q8—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×C22⋊Q8C2311yescharacteristic
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121D411yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#120—21no—
279C2×#120—21no—
280C2×C4×Q8—21no—
281C2×C4×Q8C2311yescharacteristic
282C2×C4×Q8C2311yescharacteristic
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C22×C4⋊C4—21no—
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C22⋊C4—21no—
299C22×C22⋊C4—21no—
300C22×C22⋊C4—21no—
301C22×C42C2311yescharacteristic
302#489—24no—
303#489—24no—
304#489—24no—
305#489—24no—
306#489—24no—
307#489—24no—
308#489—24no—
309#489D418yescomplemented
310#484—24no—
311#480—24no—
312#477—24no—
313#477—42no—
314#468—24no—
315#466—24no—
316#465—24no—
317#463—24no—
318#463—42no—
319#449—24no—
320#448—24no—
321#448—42no—
322#447—42no—
323#440—24no—
324#435—24no—
325#435—42no—
326C8×D4—42no—
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338#417—24no—
339C2×#103—24no—
340C2×#103—24no—
341C2×#103—24no—
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
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×#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×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×#97—24no—
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×#97C2311yescharacteristic
396C2×C4×C8C2311yescharacteristic
397#399—21no—
398#399—21no—
399#399—21no—
400#398—21no—
401#398—21no—
402#397—21no—
403#397—21no—
404#397—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#395—21no—
411#395—21no—
412#395—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#393—21no—
423#393—21no—
424#393—21no—
425#393—21no—
426#393—21no—
427#392—21no—
428#392—21no—
429#391—21no—
430#391—21no—
431#391C2311yescharacteristic
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#390—21no—
435#390—21no—
436#390—21no—
437#390D411yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#389—21no—
444#389—21no—
445#389D411yescharacteristic
446#389C2311yescharacteristic
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388D411yescharacteristic
459#388D411yescharacteristic
460#387—21no—
461#387—21no—
462#387—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386D411yescharacteristic
471#386D411yescharacteristic
472#385—21no—
473#385—21no—
474#385—21no—
475#385—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#384C2311yescharacteristic
484#384C2311yescharacteristic
485#380—21no—
486#380D411yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#379—21no—
494C4×C4⋊C4—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505#340C2311yescharacteristic
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#340C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525C25—21no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—44no—
533C2×#41—44no—
534C2×#41—82no—
535C22×Q8—21no—
536C22×Q8—21no—
537C22×Q8—21no—
538C22×Q8—21no—
539C22×Q8—21no—
540C22×Q8—21no—
541C22×Q8—22no—
542C22×Q8—22no—
543C22×Q8—22no—
544C22×Q8—22no—
545C22×Q8—22no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—44no—
550C22×Q8—44no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8—41no—
555C22×Q8—82no—
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—22no—
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—22no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×D8—22no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×M16—22no—
609C2×M16—41no—
610C2×M16—41no—
611C22×C8—22no—
612C22×C8—22no—
613C22×C8—22no—
614C22×C8—22no—
615C22×C8—22no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C4⋊Q8—22no—
629C4⋊Q8—22no—
630C4⋊Q8—22no—
631C4⋊Q8—22no—
632C4⋊Q8—22no—
633C4⋊Q8—22no—
634C4⋊Q8—41no—
635C4⋊Q8—41no—
636C4⋊Q8—44no—
637C4⋊Q8—41no—
638C4⋊Q8—44no—
639C4⋊Q8—44no—
640C4⋊Q8C2×D414yes—
641#124—22no—
642#124—22no—
643#124—22no—
644#124—22no—
645#124—22no—
646#124—22no—
647#124—44no—
648#124—44no—
649#124—41no—
650#124—41no—
651#124—41no—
652#124—44no—
653#124—44no—
654#124—44no—
655#124—44no—
656#124C2×D414yes—
657#123—44no—
658#123—44no—
659#123—44no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—44no—
664C22⋊Q8—44no—
665C22⋊Q8—44no—
666C22⋊Q8—44no—
667C22⋊Q8—44no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—44no—
671C22⋊Q8—44no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—82no—
675C22⋊Q8#4114yescomplemented
676#121—24no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—44no—
684#121—44no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—44no—
690#121—44no—
691#121—41no—
692#121—41no—
693#120—44no—
694#120—44no—
695C4×Q8—22no—
696C4×Q8—22no—
697C4×Q8—22no—
698C4×Q8—41no—
699C4×Q8—44no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—41no—
710C4×D4—44no—
711C4×D4—44no—
712C4×D4—44no—
713C4×D4—44no—
714C4×D4—44no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4—41no—
747C2×C4⋊C4—44no—
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
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—44no—
802C2×C22⋊C4—44no—
803C2×C22⋊C4—44no—
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C42—22no—
815C2×C42—22no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42C2×D411yescharacteristic
823C2×C42C2×D411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827C2×C42C2411yescharacteristic
828#107—22no—
829#107—22no—
830#107—22no—
831#107—41no—
832#107—41no—
833#107—41no—
834#106—22no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837C4⋊C8—41no—
838C4⋊C8—41no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—22no—
849#103—22no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103—41no—
855#103—41no—
856#103—41no—
857#103—41no—
858#103C2×D414yes—
859#103C2×D414yes—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102C2×D414yes—
876#102C2×D414yes—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—22no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885#97—22no—
886#97—22no—
887#97—22no—
888#97—41no—
889#97C2×D414yes—
890C4×C8—41no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917C24—21no—
918C24—21no—
919C24—21no—
920C24—42no—
921C24—42no—
922C24—42no—
923C24—42no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24C22×D411yescharacteristic
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930#41—44no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—816no—
935C2×Q8—24no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—42no—
953C2×Q8—42no—
954C2×Q8—42no—
955C2×Q8—42no—
956C2×Q8—42no—
957C2×Q8—42no—
958C2×Q8—42no—
959C2×Q8—42no—
960C2×Q8—42no—
961C2×Q8—42no—
962C2×Q8—42no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—42no—
966C2×Q8—42no—
967C2×Q8—44no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8—81no—
971C2×Q8—81no—
972C2×Q8—82no—
973C2×Q8—82no—
974C2×Q8—82no—
975C2×Q8—82no—
976C2×Q8—82no—
977C2×Q8—816no—
978C2×Q8C22×D412yes—
979C2×Q8C2×#4112yes—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—41no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4AGL(1,ℤ/8)14yes—
1034C2×D4C22×D412yes—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C2×#4112yes—
1109C22×C4H(5,𝔽2)12yes—
1110C22×C4C2511yescharacteristic
1111SD16—44no—
1112SD16—82no—
1113SD16—82no—
1114D8—82no—
1115D8—82no—
1116M16—82no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—44no—
1140C2×C8—44no—
1141C2×C8—82no—
1142C2×C8C22×D412yes—
1143C2×C8C22×D412yes—
1144C4⋊C4—24no—
1145C4⋊C4—22no—
1146C4⋊C4—24no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—41no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4C22×D412yes—
1191C4⋊C4C22×D412yes—
1192C4⋊C4C2×#4112yes—
1193C22⋊C4—24no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—24no—
1198C22⋊C4—24no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
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—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C42—22no—
1242C42—22no—
1243C42—21no—
1244C42—21no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—42no—
1250C42—42no—
1251C42—42no—
1252C42—42no—
1253C42—42no—
1254C42—81no—
1255C42C22×D412yes—
1256C42H(5,𝔽2)12yes—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—22no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—84no—
1296C23—84no—
1297C23—84no—
1298C23—84no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23#54612yes—
1303C23C2×AGL(1,ℤ/8)12yes—
1304C23C2×AGL(1,ℤ/8)12yes—
1305C23#57812yes—
1306C23C23×D411yescharacteristic
1307Q8—22no—
1308Q8—22no—
1309Q8—22no—
1310Q8—22no—
1311Q8—48no—
1312Q8—41no—
1313Q8—41no—
1314Q8—41no—
1315Q8—41no—
1316Q8—41no—
1317Q8—41no—
1318Q8—41no—
1319Q8—41no—
1320Q8—84no—
1321Q8—84no—
1322Q8—84no—
1323Q8—84no—
1324Q8—84no—
1325D4—28no—
1326D4—22no—
1327D4—22no—
1328D4—44no—
1329D4—44no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—41no—
1338D4—41no—
1339D4—41no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—162no—
1347D4—162no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—84no—
1431C2×C4—84no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—84no—
1435C2×C4—84no—
1436C2×C4—84no—
1437C2×C4—84no—
1438C2×C4—162no—
1439C2×C4D4212yes—
1440C2×C4D4212yes—
1441C2×C4#54612yes—
1442C2×C4C2×AGL(1,ℤ/8)12yes—
1443C2×C4C23×D411yescharacteristic
1444C2×C4C22×#4111yescharacteristic
1445C2×C4C2×H(5,𝔽2)11yescharacteristic
1446C2×C4C2×H(5,𝔽2)11yescharacteristic
1447C2×C4#58511yescharacteristic
1448C2×C4#58511yescharacteristic
1449C8—22no—
1450C8—22no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—42no—
1474C22—41no—
1475C22—41no—
1476C22—42no—
1477C22—41no—
1478C22—41no—
1479C22—42no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—168no—
1499C22#330814yescomplemented
1500C22C2×D4211yescharacteristic
1501C22C2×#54611yescharacteristic
1502C22#350011yescharacteristic
1503C22C22×AGL(1,ℤ/8)11yescharacteristic
1504C22C2×#57811yescharacteristic
1505C22#358511yescharacteristic
1506C22#358611yescharacteristic
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—41no—
1512C4—41no—
1513C4—42no—
1514C4—41no—
1515C4—42no—
1516C4—42no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—42no—
1522C4—42no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4D4×#4111yescharacteristic
1532C4#348811yescharacteristic
1533C4#351411yescharacteristic
1534C4#355811yescharacteristic
1535C2—24no—
1536C2—42no—
1537C2—81no—
1538C2—82no—
1539C2—161no—
1540C2—161no—
1541C2#5913111yescharacteristic
1542C2D4×AGL(1,ℤ/8)11yescharacteristic
1543C2#6107611yescharacteristic
1544C2C2×#330811yescharacteristic
1545C2#6122211yescharacteristic
1546C2#6258311yescharacteristic
1547C2#6260411yescharacteristic
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. C22×#489C2semidirect
3. #59130C2semidirect
4. #59125C2semidirect
5. #30659C2semidirect
6. #30653C2semidirect
7. #30545C2semidirect
8. #30538C2semidirect
9. #28931C2semidirect
10. #28919C2semidirect
11. #28610C2semidirect
12. #28426C2semidirect
13. #27278C2semidirect
14. #27266C2semidirect
15. #25896C2semidirect
16. #25577C2semidirect
17. #25334C2semidirect
18. #25286C2semidirect
19. #25130C2semidirect
20. #25108C2semidirect
21. #24867C2semidirect
22. #24861C2semidirect
23. #24434C2semidirect
24. #24429C2semidirect
25. #24302C2semidirect
26. #24215C2semidirect
27. #23228C2semidirect
28. #22419C2semidirect
29. D4×#103C2semidirect
30. #21528C2semidirect
31. #21489C2semidirect
35. C2×#547C22semidirect
49. C2×#484C22semidirect
51. C2×#477C22semidirect
52. C2×#477C22semidirect
53. C2×#468C22semidirect
60. C2×#448C22semidirect
62. C2×#440C22semidirect
64. C2×#435C22semidirect
69. C22×#103C22semidirect
77. #2547C22semidirect
79. #2542C22semidirect
82. #2491C22semidirect
83. #2491C22semidirect
88. #2440C22semidirect
89. #2440C22semidirect
104. #2365C22semidirect
111. #2095C22semidirect
113. #2072C22semidirect
115. #2068C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
119. #2055C22semidirect
121. #2043C22semidirect
125. #2036C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
133. #2024C22semidirect
134. #2024C22semidirect
135. #2013C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
143. #1987C22semidirect
144. #1987C22semidirect
148. #1981C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
153. #1956C22semidirect
154. #1955C22semidirect
155. #1944C22semidirect
156. #1940C22semidirect
157. #1936C22semidirect
158. #1935C22semidirect
159. #1935C22semidirect
161. #1928C22semidirect
162. #1928C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
168. #1894C22semidirect
172. #1892C22semidirect
173. #1880C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
183. #1865C22semidirect
188. #1803C22semidirect
194. #1787C22semidirect
195. #1787C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1763C22semidirect
201. #1762C22semidirect
202. C4×#103C22semidirect
203. #1753C22semidirect
204. #1752C22semidirect
309. #489D4semidirect
675. C22⋊Q8#41semidirect
1499. C22#3308semidirect

Maximal subgroups

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

subgroupindex
C2×#33082
C22×#4892
#591302
#591252
#306592
#306532
#305452
#305382
#289312
#289192
#286102
#284262
#272782
#272662
#258962
#255772
#253342
#252862
#251302
#251082
#248672
#248612
#244342
#244292
#243022
#242152
#232282
#224192
D4×#1032
#215282
#214892