Finite Group Databasebeta

← #6996764

Subgroups — #6996764

Order 512.

2532 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3196C211yesmaximal, characteristic, complemented
3#59000C211yesmaximal, characteristic, complemented
4#58996C211yesmaximal, characteristic, complemented
5#31032C211yesmaximal, characteristic, complemented
6#31029C211yesmaximal, characteristic, complemented
7#30723C211yesmaximal, characteristic, complemented
8#30720C211yesmaximal, characteristic, complemented
9#30470C211yesmaximal, characteristic, complemented
10#30451C211yesmaximal, characteristic, complemented
11#30445C211yesmaximal, characteristic, complemented
12#30445C211yesmaximal, characteristic, complemented
13#28568C211yesmaximal, characteristic, complemented
14#26957C211yesmaximal, characteristic, complemented
15#26927C211yesmaximal, characteristic, complemented
16#26618C211yesmaximal, characteristic, complemented
17#26617C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25767C211yesmaximal, characteristic, complemented
20#25762C211yesmaximal, characteristic, complemented
21#25101C211yesmaximal, characteristic, complemented
22#25098C211yesmaximal, characteristic, complemented
23#24452C211yesmaximal, characteristic, complemented
24#24442C211yesmaximal, characteristic, complemented
25#23922C211yesmaximal, characteristic, complemented
26#23920C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23863C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#23145C211yesmaximal, characteristic, complemented
31#22038C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic, complemented
42#3273—28no—
43#3196—28no—
44C2×#497C2211yescharacteristic, complemented
45C2×#495C2211yescharacteristic, complemented
46C2×#495C2211yescharacteristic, complemented
47C2×#484C2211yescharacteristic, complemented
48C2×#481C2211yescharacteristic, complemented
49C2×#485C2211yescharacteristic, complemented
50C2×#485C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic, complemented
56C2×#462C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic
61C2×#452C2211yescharacteristic
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#451C2211yescharacteristic, complemented
69C2×#451C2211yescharacteristic, complemented
70C2×#448C2211yescharacteristic, complemented
71C2×#448C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic, complemented
76C2×C4×D8C2211yescharacteristic, complemented
77C2×#436C2211yescharacteristic
78C2×#417C2211yescharacteristic
79C2×#418C2211yescharacteristic, complemented
80C2×#407C2211yescharacteristic, complemented
81#2681—21no—
82#2679—21no—
83#2676—21no—
84#2668—21no—
85#2542C2211yescharacteristic, complemented
86#2540C2211yescharacteristic
87#2472—21no—
88#2455—21no—
89#2443—21no—
90#2437—21no—
91#2436C2211yescharacteristic, complemented
92#2435C2211yescharacteristic, complemented
93#2432C2211yescharacteristic
94#2432C2211yescharacteristic, complemented
95#2427C2211yescharacteristic, complemented
96#2427C2211yescharacteristic, complemented
97#2427C2211yescharacteristic, complemented
98#2426C2211yescharacteristic, complemented
99#2422—21no—
100#2422—21no—
101#2418—21no—
102#2418—21no—
103#2417C2211yescharacteristic
104#2416—21no—
105#2416C2211yescharacteristic
106#2415C2211yescharacteristic
107#2415C2211yescharacteristic, complemented
108#2410—21no—
109#2408C2211yescharacteristic, complemented
110#2407C2211yescharacteristic
111#2363C2211yescharacteristic
112#2363C2211yescharacteristic, complemented
113#2361C2211yescharacteristic, complemented
114#2360C2211yescharacteristic, complemented
115#2358—21no—
116D4×C22⋊C4—21no—
117C4×#120C2211yescharacteristic
118#2088C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2043C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2001C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1923C2211yescharacteristic, complemented
172#1923C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1918C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic
187#1874C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1873C2211yescharacteristic, complemented
190#1872C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238#548—42no—
239#548—42no—
240#546—24no—
241#546—24no—
242#546—42no—
243#546—42no—
244#546—42no—
245#546—42no—
246C2×C4⋊Q8C2311yescharacteristic
247C2×#124—21no—
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253#525—24no—
254#525—42no—
255#525—42no—
256#525—42no—
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8—21no—
265C2×C22⋊Q8—24no—
266C2×C22⋊Q8—42no—
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—42no—
286C2×#121—42no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120D411yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C22×C4⋊C4—21no—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326#497—42no—
327#495—24no—
328#495—42no—
329#485—24no—
330#485—24no—
331#484—24no—
332#481—24no—
333#470—24no—
334#470—24no—
335#468—24no—
336#468—24no—
337#468D418yescomplemented
338#463—24no—
339#463—24no—
340#463—42no—
341#462—42no—
342#452—24no—
343#452—24no—
344#452—24no—
345#452—24no—
346#452—42no—
347#452—42no—
348#451—24no—
349#451—42no—
350#450—42no—
351#450—42no—
352#449—42no—
353#449—42no—
354#448—24no—
355#448—42no—
356#447—24no—
357#447—24no—
358C4×D8—24no—
359#436—24no—
360C2×#107C2311yescharacteristic
361C2×#107C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367#418—42no—
368#417—42no—
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401#407—24no—
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#399—21no—
419#399—21no—
420#399—21no—
421#398—21no—
422#397—21no—
423#397—21no—
424#397—21no—
425#397—21no—
426#397—21no—
427#396—21no—
428#396—21no—
429#396—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—21no—
445#393—21no—
446#393—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#389—21no—
465#389—21no—
466#389—21no—
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#387—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386D411yescharacteristic
490#386D411yescharacteristic
491#386D411yescharacteristic
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385D411yescharacteristic
500#385D411yescharacteristic
501#385D411yescharacteristic
502#384—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512#379D411yescharacteristic
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8—21no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×Q8C2411yescharacteristic
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—22no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—22no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—82no—
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4C2×D411yescharacteristic
623C23×C4C2×D411yescharacteristic
624C23×C4C2×D411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629AGL(1,ℤ/8)—416no—
630AGL(1,ℤ/8)—416no—
631C2×Q16—22no—
632C2×Q16—22no—
633C2×Q16—22no—
634C2×Q16—41no—
635C2×Q16—41no—
636C2×Q16—41no—
637C2×Q16—41no—
638C2×Q16—41no—
639C2×Q16—41no—
640C2×Q16—41no—
641C2×Q16—41no—
642C2×Q16—41no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16C2×D414yescomplemented
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×M16—22no—
680C2×M16—22no—
681C2×M16—41no—
682C2×M16—41no—
683C2×M16—41no—
684C2×M16—41no—
685C2×M16—41no—
686C2×M16—41no—
687C2×M16C2×D414yes—
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C4⋊Q8—41no—
697C4⋊Q8—41no—
698#124—22no—
699#124—22no—
700#124—22no—
701#124—22no—
702#124—41no—
703#124—41no—
704#124—41no—
705#124—41no—
706#124—41no—
707#124—41no—
708#124—44no—
709#123—44no—
710#123—44no—
711#123—44no—
712#123—44no—
713#123—44no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—22no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—44no—
727C22⋊Q8—44no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—44no—
738C22⋊Q8C2×D414yes—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—44no—
750#121—44no—
751#121—44no—
752#121—41no—
753#121—41no—
754#121—41no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—44no—
760#121—44no—
761#121—44no—
762#121—82no—
763#121C2×D414yes—
764#120—42no—
765#120—44no—
766#120—44no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771C4×Q8—22no—
772C4×Q8—41no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—44no—
786C4×D4—44no—
787C4×D4—44no—
788C4×D4—44no—
789C4×D4—44no—
790C4×D4—82no—
791#117—22no—
792#117—22no—
793#117—41no—
794#117—41no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—22no—
797C2×C4⋊C4—22no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—41no—
818C2×C4⋊C4—41no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4C2×D411yescharacteristic
821C2×C4⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—44no—
877C2×C22⋊C4—44no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901#107—22no—
902#107C2×D414yescomplemented
903#106—22no—
904#106—22no—
905C4⋊C8—22no—
906C4⋊C8—41no—
907C4⋊C8—41no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103C2×D414yescomplemented
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102C2×D414yescomplemented
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953#97—41no—
954C4×C8—22no—
955C4×C8—41no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978C24—21no—
979C24—21no—
980C24—21no—
981C24—22no—
982C24—22no—
983C24—21no—
984C24—41no—
985C24—41no—
986C24—41no—
987C24—41no—
988C24—41no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24C22×D411yescharacteristic
1004C24C22×D411yescharacteristic
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007#41—44no—
1008#41—44no—
1009#41—44no—
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—81no—
1045C2×Q8—82no—
1046C2×Q8—82no—
1047C2×Q8—82no—
1048C2×Q8—82no—
1049C2×Q8C22×D412yes—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—22no—
1053C2×D4—24no—
1054C2×D4—22no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—816no—
1131C2×D4C22×D412yes—
1132C2×D4H(5,𝔽2)12yes—
1133C2×D4H(5,𝔽2)12yes—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—22no—
1144C22×C4—21no—
1145C22×C4—21no—
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—22no—
1163C22×C4—22no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—82no—
1193C22×C4—82no—
1194C22×C4—82no—
1195C22×C4—82no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4—81no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D412yes—
1219C22×C4H(5,𝔽2)12yes—
1220C22×C4C2511yescharacteristic
1221Q16—82no—
1222Q16—82no—
1223Q16—82no—
1224Q16—82no—
1225SD16—44no—
1226SD16—44no—
1227SD16—44no—
1228SD16—44no—
1229SD16—82no—
1230SD16—82no—
1231SD16—82no—
1232SD16—82no—
1233D8—28no—
1234D8—44no—
1235D8—44no—
1236D8—82no—
1237M16—44no—
1238M16—44no—
1239M16—82no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8C22×D412yes—
1263C2×C8C22×D412yes—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—81no—
1294C4⋊C4—81no—
1295C4⋊C4—81no—
1296C4⋊C4—81no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C4⋊C4C22×D412yes—
1300C4⋊C4C22×D412yes—
1301C4⋊C4H(5,𝔽2)12yes—
1302C4⋊C4H(5,𝔽2)12yes—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—24no—
1309C22⋊C4—22no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—21no—
1364C42—21no—
1365C42—21no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—81no—
1370C42—81no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—22no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—44no—
1401C23—44no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—84no—
1431C23—84no—
1432C23—82no—
1433C23—82no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23D4212yes—
1447C23#57512yes—
1448C23C23×D411yescharacteristic
1449Q8—22no—
1450Q8—22no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—84no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—48no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—84no—
1484D4—82no—
1485D4—82no—
1486D4—84no—
1487D4—84no—
1488D4—82no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—162no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
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—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—162no—
1590C2×C4—162no—
1591C2×C4—162no—
1592C2×C4D4212yes—
1593C2×C4C23×D411yescharacteristic
1594C2×C4C2×H(5,𝔽2)11yescharacteristic
1595C2×C4C2×H(5,𝔽2)11yescharacteristic
1596C2×C4C2×H(5,𝔽2)11yescharacteristic
1597C2×C4C2×H(5,𝔽2)11yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C8—22no—
1600C8—22no—
1601C8—41no—
1602C8—41no—
1603C8—41no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—88no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—168no—
1665C22—168no—
1666C22C2×D4211yescharacteristic
1667C22#348411yescharacteristic
1668C22#348411yescharacteristic
1669C22C2×#57511yescharacteristic
1670C22#358411yescharacteristic
1671C22#358511yescharacteristic
1672C22#358611yescharacteristic
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4#348411yescharacteristic
1696C4#349811yescharacteristic
1697C4#353711yescharacteristic
1698C4#353711yescharacteristic
1699C2—42no—
1700C2—42no—
1701C2—81no—
1702C2—81no—
1703C2—82no—
1704C2—82no—
1705C2—82no—
1706C2—161no—
1707C2#4300111yescharacteristic
1708C2#6106811yescharacteristic
1709C2#6107411yescharacteristic
1710C2#6158111yescharacteristic
1711C2#6160611yescharacteristic
1712C2#6162711yescharacteristic
1713C2#6164711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3273C2semidirect
2. C2×#3196C2semidirect
3. #59000C2semidirect
4. #58996C2semidirect
5. #31032C2semidirect
6. #31029C2semidirect
7. #30723C2semidirect
8. #30720C2semidirect
9. #30470C2semidirect
10. #30451C2semidirect
11. #30445C2semidirect
12. #30445C2semidirect
13. #28568C2semidirect
14. #26957C2semidirect
15. #26927C2semidirect
16. #26618C2semidirect
17. #26617C2semidirect
18. #25796C2semidirect
19. #25767C2semidirect
20. #25762C2semidirect
21. #25101C2semidirect
22. #25098C2semidirect
23. #24452C2semidirect
24. #24442C2semidirect
25. #23922C2semidirect
26. #23920C2semidirect
27. #23866C2semidirect
28. #23863C2semidirect
29. #23391C2semidirect
30. #23145C2semidirect
31. #22038C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
37. C2×#546C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C22×#121C22semidirect
44. C2×#497C22semidirect
45. C2×#495C22semidirect
46. C2×#495C22semidirect
47. C2×#484C22semidirect
48. C2×#481C22semidirect
49. C2×#485C22semidirect
50. C2×#485C22semidirect
51. C2×#470C22semidirect
52. C2×#470C22semidirect
55. C2×#468C22semidirect
56. C2×#462C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
68. C2×#451C22semidirect
69. C2×#451C22semidirect
70. C2×#448C22semidirect
71. C2×#448C22semidirect
72. C2×#450C22semidirect
73. C2×#450C22semidirect
75. C2×#447C22semidirect
76. C2×C4×D8C22semidirect
79. C2×#418C22semidirect
80. C2×#407C22semidirect
85. #2542C22semidirect
91. #2436C22semidirect
92. #2435C22semidirect
94. #2432C22semidirect
95. #2427C22semidirect
96. #2427C22semidirect
97. #2427C22semidirect
98. #2426C22semidirect
107. #2415C22semidirect
109. #2408C22semidirect
112. #2363C22semidirect
113. #2361C22semidirect
114. #2360C22semidirect
118. #2088C22semidirect
119. #2077C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2056C22semidirect
123. #2056C22semidirect
124. #2054C22semidirect
125. #2043C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
129. #2036C22semidirect
130. #2034C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2013C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
142. #2001C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1972C22semidirect
161. #1968C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1933C22semidirect
166. #1933C22semidirect
167. #1933C22semidirect
168. #1927C22semidirect
169. #1925C22semidirect
170. #1924C22semidirect
171. #1923C22semidirect
172. #1923C22semidirect
173. #1923C22semidirect
174. #1921C22semidirect
175. #1918C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
187. #1874C22semidirect
188. #1873C22semidirect
189. #1873C22semidirect
190. #1872C22semidirect
191. #1872C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1851C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1763C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
337. #468D4semidirect
666. C2×SD16C2×D4semidirect
902. #107C2×D4semidirect
923. #103C2×D4semidirect
939. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#31962
#590002
#589962
#310322
#310292
#307232
#307202
#304702
#304512
#304452
#285682
#269572
#269272
#266182
#266172
#257962
#257672
#257622
#251012
#250982
#244522
#244422
#239222
#239202
#238662
#238632
#233912
#231452
#220382