Finite Group Databasebeta

← #7195669

Subgroups — #7195669

Order 512.

2510 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3269C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic, complemented
3#45422C211yesmaximal, characteristic, complemented
4#45387C211yesmaximal, characteristic, complemented
5#30427C211yesmaximal, characteristic, complemented
6#30425C211yesmaximal, characteristic, complemented
7#30424C211yesmaximal, characteristic, complemented
8#30417C211yesmaximal, characteristic, complemented
9#30409C211yesmaximal, characteristic, complemented
10#30406C211yesmaximal, characteristic, complemented
11#30405C211yesmaximal, characteristic, complemented
12#30401C211yesmaximal, characteristic, complemented
13#28171C211yesmaximal, characteristic, complemented
14#28168C211yesmaximal, characteristic, complemented
15#28155C211yesmaximal, characteristic, complemented
16#28152C211yesmaximal, characteristic, complemented
17#24245C211yesmaximal, characteristic, complemented
18#24244C211yesmaximal, characteristic, complemented
19#24241C211yesmaximal, characteristic, complemented
20#24237C211yesmaximal, characteristic, complemented
21#23871C211yesmaximal, characteristic, complemented
22#23870C211yesmaximal, characteristic, complemented
23#23869C211yesmaximal, characteristic, complemented
24#23863C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23854C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23808C211yesmaximal, characteristic, complemented
30#22278C211yesmaximal, characteristic, complemented
31#22267C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C22×#135C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic
43C2×#546C2211yescharacteristic
44#3269—28no—
45#3267—28no—
46C2×#497C2211yescharacteristic
47C2×#470C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#467C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic
51C2×#462C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic
54C2×#461C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#451C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#442C2211yescharacteristic
72C2×#440C2211yescharacteristic, complemented
73C2×C4×SD16C2211yescharacteristic, complemented
74C2×C4×D8C2211yescharacteristic
75C2×#435C2211yescharacteristic
76C2×#435C2211yescharacteristic, complemented
77#2675—21no—
78#2673—21no—
79#2673—21no—
80#2673—21no—
81#2673—21no—
82#2672—21no—
83#2672—21no—
84#2670—21no—
85#2538C2211yescharacteristic
86#2538C2211yescharacteristic
87#2537C2211yescharacteristic
88#2537C2211yescharacteristic
89#2536C2211yescharacteristic
90#2536C2211yescharacteristic, complemented
91#2535C2211yescharacteristic
92#2535C2211yescharacteristic, complemented
93#2455—21no—
94#2443—21no—
95#2443—21no—
96#2443—21no—
97#2443—21no—
98#2437—21no—
99#2424—21no—
100#2424—21no—
101#2409C2211yescharacteristic
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2407C2211yescharacteristic, complemented
109#2397C2211yescharacteristic
110#2328C2211yescharacteristic, complemented
111#2327C2211yescharacteristic, complemented
112#2326C2211yescharacteristic
113#2326C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2094C2211yescharacteristic, complemented
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2076C2211yescharacteristic, complemented
121#2075C2211yescharacteristic
122#2074C2211yescharacteristic, complemented
123#2073C2211yescharacteristic
124#2072C2211yescharacteristic, complemented
125#2072C2211yescharacteristic, complemented
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2033C2211yescharacteristic
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2001C2211yescharacteristic
143#2001C2211yescharacteristic, complemented
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1958C2211yescharacteristic
155#1956C2211yescharacteristic, complemented
156#1954C2211yescharacteristic
157#1954C2211yescharacteristic, complemented
158#1895C2211yescharacteristic
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic, complemented
161#1894C2211yescharacteristic
162#1893C2211yescharacteristic
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1892C2211yescharacteristic, complemented
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1836C2211yescharacteristic, complemented
191#1832C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1802C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204#1746C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×#137—24no—
214C2×#137—42no—
215C2×#137—42no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×#135—24no—
220C2×#135—24no—
221C2×#135—42no—
222C2×#135—42no—
223C2×#135—42no—
224C2×#135—42no—
225C22×Q16C2311yescharacteristic
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245#550—42no—
246#550—42no—
247#550—42no—
248#550—42no—
249#548—24no—
250#548—42no—
251#548—42no—
252#548—42no—
253#547—24no—
254#547—24no—
255#547—42no—
256#547—42no—
257#546—24no—
258#546—42no—
259#546—42no—
260#546—42no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×#127—21no—
263C2×#127—21no—
264C2×#127C2311yescharacteristic
265C2×#124—21no—
266C2×#124—21no—
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×#123—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C22×C4⋊C4—21no—
327C22×C4⋊C4—21no—
328C22×C22⋊C4—21no—
329C22×C22⋊C4—21no—
330#497D418yescomplemented
331#470—24no—
332#468—24no—
333#467—24no—
334#465—24no—
335#463—24no—
336#463—24no—
337#462—24no—
338#461—24no—
339#452—24no—
340#452—24no—
341#452—24no—
342#452—24no—
343#452—42no—
344#452—42no—
345#451—24no—
346#450—24no—
347#449—24no—
348#449—24no—
349#449—42no—
350#449—42no—
351#449—42no—
352#449—42no—
353#448—42no—
354#447—42no—
355#442—24no—
356#440—24no—
357C4×SD16—42no—
358C4×D8—42no—
359#435—24no—
360#435—24no—
361C2×#107C2311yescharacteristic
362C2×#107C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×#106C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413#399D411yescharacteristic
414#399D411yescharacteristic
415#399D411yescharacteristic
416#399D411yescharacteristic
417#398—21no—
418#398—21no—
419#397—21no—
420#397—21no—
421#396—21no—
422#396—21no—
423#396—21no—
424#396—21no—
425#395—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—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#393—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392D411yescharacteristic
450#392D411yescharacteristic
451#392D411yescharacteristic
452#392D411yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#389—21no—
464#389—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#387—21no—
474#387—21no—
475#387—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#384C2311yescharacteristic
504#384C2311yescharacteristic
505#382C2311yescharacteristic
506#382C2311yescharacteristic
507#380—21no—
508#380—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#380C2311yescharacteristic
515#380C2311yescharacteristic
516#380C2311yescharacteristic
517#379—21no—
518#376C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C22×Q8—21no—
577C22×Q8—22no—
578C22×Q8—22no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8—41no—
582C22×Q8—41no—
583C22×Q8C2411yescharacteristic
584C22×Q8C2411yescharacteristic
585C22×Q8C2411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635#137—416no—
636AGL(1,ℤ/8)—416no—
637#135—416no—
638#135—416no—
639C2×Q16—22no—
640C2×Q16—22no—
641C2×Q16—22no—
642C2×Q16—22no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×Q16—41no—
646C2×Q16—41no—
647C2×Q16—41no—
648C2×Q16—41no—
649C2×Q16C2×D414yes—
650C2×Q16C2×D414yes—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16C2×D414yes—
674C2×SD16C2×D414yes—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×M16—22no—
688C2×M16—22no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C22×C8—22no—
694C22×C8—22no—
695C22×C8—41no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—41no—
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C4⋊Q8—22no—
708C4⋊Q8C2×D414yes—
709#127—22no—
710#127—22no—
711#127—44no—
712#127—44no—
713#124—22no—
714#124—22no—
715#124—22no—
716#124—44no—
717#124—44no—
718#124C2×D414yes—
719#123—44no—
720#123—44no—
721#123—44no—
722#123—44no—
723#123—44no—
724#123—44no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—22no—
728C22⋊Q8—22no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—22no—
732C22⋊Q8—22no—
733C22⋊Q8—44no—
734C22⋊Q8—44no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741C22⋊Q8—41no—
742C22⋊Q8—41no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—82no—
770#121—82no—
771#120—44no—
772#120—44no—
773#120—82no—
774C4×Q8—22no—
775C4×Q8—22no—
776C4×Q8—41no—
777C4×Q8—41no—
778C4×Q8—41no—
779C4×Q8—41no—
780C4×Q8—41no—
781C4×Q8—41no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—44no—
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—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—44no—
825C2×C4⋊C4—44no—
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
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—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
894C2×C42—21no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901#107—22no—
902#107—41no—
903#106—22no—
904#106—41no—
905C4⋊C8—22no—
906C4⋊C8—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951#97C2×D414yes—
952C4×C8—22no—
953#95—21no—
954#95—21no—
955#95—21no—
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#95—21no—
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24C22×D411yescharacteristic
989C24C22×D411yescharacteristic
990C24C22×D411yescharacteristic
991C24C22×D411yescharacteristic
992#41—44no—
993#41—44no—
994#41—44no—
995#41—44no—
996#41—44no—
997#41—44no—
998#41—82no—
999#41—82no—
1000#41—82no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004#41—82no—
1005#41—82no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
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—42no—
1037C2×Q8—42no—
1038C2×Q8—44no—
1039C2×Q8—81no—
1040C2×Q8—82no—
1041C2×Q8—82no—
1042C2×Q8—82no—
1043C2×Q8C22×D412yes—
1044C2×Q8C22×D412yes—
1045C2×Q8C22×D412yes—
1046C2×Q8H(5,𝔽2)12yes—
1047C2×D4—24no—
1048C2×D4—24no—
1049C2×D4—22no—
1050C2×D4—22no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
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—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—44no—
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—42no—
1111C2×D4—42no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
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—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4C22×D412yes—
1141C2×D4H(5,𝔽2)12yes—
1142C2×D4H(5,𝔽2)12yes—
1143C2×D4H(5,𝔽2)12yes—
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—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
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—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
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×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C2511yescharacteristic
1224Q16—44no—
1225Q16—44no—
1226Q16—44no—
1227Q16—44no—
1228SD16—28no—
1229SD16—44no—
1230SD16—44no—
1231SD16—44no—
1232SD16—44no—
1233SD16—44no—
1234SD16—44no—
1235SD16—44no—
1236D8—28no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240M16—44no—
1241M16—44no—
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×C8—21no—
1263C2×C8—21no—
1264C2×C8—44no—
1265C2×C8—44no—
1266C2×C8C22×D412yes—
1267C2×C8C22×D412yes—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—81no—
1305C4⋊C4—81no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
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—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
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—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42C22×D412yes—
1369C42H(5,𝔽2)12yes—
1370C23—21no—
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—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—22no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
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—84no—
1427C23—84no—
1428C23—84no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23C23×D411yescharacteristic
1434Q8—22no—
1435Q8—22no—
1436Q8—22no—
1437Q8—22no—
1438Q8—22no—
1439Q8—22no—
1440Q8—22no—
1441Q8—22no—
1442Q8—41no—
1443Q8—41no—
1444Q8—41no—
1445Q8—41no—
1446Q8—41no—
1447Q8—41no—
1448Q8—41no—
1449Q8—41no—
1450Q8—84no—
1451D4—22no—
1452D4—22no—
1453D4—22no—
1454D4—22no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—82no—
1468D4—82no—
1469D4—84no—
1470D4—84no—
1471D4—82no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—162no—
1485D4—162no—
1486D4—162no—
1487D4—162no—
1488D4—162no—
1489D4—162no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—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—84no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—162no—
1580C2×C4—162no—
1581C2×C4D4212yes—
1582C2×C4D4212yes—
1583C2×C4C23×D411yescharacteristic
1584C2×C4C2×H(5,𝔽2)11yescharacteristic
1585C2×C4C2×H(5,𝔽2)11yescharacteristic
1586C2×C4C2×H(5,𝔽2)11yescharacteristic
1587C2×C4C2×H(5,𝔽2)11yescharacteristic
1588C2×C4C2×H(5,𝔽2)11yescharacteristic
1589C8—22no—
1590C8—22no—
1591C8—41no—
1592C8—41no—
1593C8—41no—
1594C8—41no—
1595C8—41no—
1596C8—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—168no—
1654C22C2×D4211yescharacteristic
1655C22#348411yescharacteristic
1656C22#348411yescharacteristic
1657C22#358411yescharacteristic
1658C22#358411yescharacteristic
1659C22#358511yescharacteristic
1660C22#358611yescharacteristic
1661C4—22no—
1662C4—22no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—81no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4#348411yescharacteristic
1684C4#348411yescharacteristic
1685C4#353711yescharacteristic
1686C4#353711yescharacteristic
1687C2—81no—
1688C2—81no—
1689C2—81no—
1690C2—81no—
1691C2—82no—
1692C2—82no—
1693C2—82no—
1694C2—82no—
1695C2#4535511yescharacteristic
1696C2#6107711yescharacteristic
1697C2#6107811yescharacteristic
1698C2#6162611yescharacteristic
1699C2#6162811yescharacteristic
1700C2#6163611yescharacteristic
1701C2#6164711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2397 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3269C2semidirect
2. C2×#3267C2semidirect
3. #45422C2semidirect
4. #45387C2semidirect
5. #30427C2semidirect
6. #30425C2semidirect
7. #30424C2semidirect
8. #30417C2semidirect
9. #30409C2semidirect
10. #30406C2semidirect
11. #30405C2semidirect
12. #30401C2semidirect
13. #28171C2semidirect
14. #28168C2semidirect
15. #28155C2semidirect
16. #28152C2semidirect
17. #24245C2semidirect
18. #24244C2semidirect
19. #24241C2semidirect
20. #24237C2semidirect
21. #23871C2semidirect
22. #23870C2semidirect
23. #23869C2semidirect
24. #23863C2semidirect
25. #23857C2semidirect
26. #23857C2semidirect
27. #23854C2semidirect
28. #23850C2semidirect
29. #23808C2semidirect
30. #22278C2semidirect
31. #22267C2semidirect
32. C22×#137C22semidirect
37. C2×#550C22semidirect
41. C2×#547C22semidirect
49. C2×#467C22semidirect
51. C2×#462C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
67. C2×#451C22semidirect
68. C2×#448C22semidirect
72. C2×#440C22semidirect
73. C2×C4×SD16C22semidirect
76. C2×#435C22semidirect
90. #2536C22semidirect
92. #2535C22semidirect
107. #2407C22semidirect
108. #2407C22semidirect
110. #2328C22semidirect
111. #2327C22semidirect
114. #2097C22semidirect
115. #2094C22semidirect
116. #2093C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2076C22semidirect
122. #2074C22semidirect
124. #2072C22semidirect
125. #2072C22semidirect
127. #2036C22semidirect
128. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
143. #2001C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
155. #1956C22semidirect
157. #1954C22semidirect
160. #1895C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
165. #1892C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
185. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1869C22semidirect
190. #1836C22semidirect
191. #1832C22semidirect
192. #1805C22semidirect
194. #1802C22semidirect
195. #1802C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
204. #1746C22semidirect
330. #497D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32692
C2×#32672
#454222
#453872
#304272
#304252
#304242
#304172
#304092
#304062
#304052
#304012
#281712
#281682
#281552
#281522
#242452
#242442
#242412
#242372
#238712
#238702
#238692
#238632
#238572
#238542
#238502
#238082
#222782
#222672