Finite Group Databasebeta

← #6683776

Subgroups — #6683776

Order 512.

2601 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic, complemented
3#42679C211yesmaximal, characteristic, complemented
4#35921C211yesmaximal, characteristic, complemented
5#33040C211yesmaximal, characteristic, complemented
6#30727C211yesmaximal, characteristic, complemented
7#30724C211yesmaximal, characteristic, complemented
8#30716C211yesmaximal, characteristic, complemented
9#30703C211yesmaximal, characteristic, complemented
10#30515C211yesmaximal, characteristic, complemented
11#30512C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30502C211yesmaximal, characteristic, complemented
14#30271C211yesmaximal, characteristic, complemented
15#29802C211yesmaximal, characteristic, complemented
16#28609C211yesmaximal, characteristic, complemented
17#28492C211yesmaximal, characteristic, complemented
18#25890C211yesmaximal, characteristic, complemented
19#25754C211yesmaximal, characteristic, complemented
20#25753C211yesmaximal, characteristic, complemented
21#25575C211yesmaximal, characteristic, complemented
22#24448C211yesmaximal, characteristic, complemented
23#24442C211yesmaximal, characteristic, complemented
24#24432C211yesmaximal, characteristic, complemented
25#24426C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22267C211yesmaximal, characteristic, complemented
31#21126C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#553C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×D42C2211yescharacteristic
42#3318—28no—
43#3267—28no—
44C2×#497C2211yescharacteristic, complemented
45C2×#492C2211yescharacteristic, complemented
46C2×#490C2211yescharacteristic, complemented
47C2×#488C2211yescharacteristic, complemented
48C2×#481C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic, complemented
50C2×#478C2211yescharacteristic
51C2×#470C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic, complemented
58C2×#465C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic
61C2×#459C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic
63C2×#452C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic
71C2×#450C2211yescharacteristic
72C2×#450C2211yescharacteristic
73C2×#450C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic
76C2×#442C2211yescharacteristic
77C2×#435C2211yescharacteristic, complemented
78C2×#435C2211yescharacteristic, complemented
79C2×#418C2211yescharacteristic
80C22×#102C2211yescharacteristic
81#2813—21no—
82#2718—21no—
83#2718—21no—
84#2703—21no—
85#2703—21no—
86#2657C2211yescharacteristic
87#2656—21no—
88#2642C2211yescharacteristic, complemented
89#2635—21no—
90#2623—21no—
91#2562C2211yescharacteristic, complemented
92#2542C2211yescharacteristic, complemented
93#2541C2211yescharacteristic
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic
96#2540C2211yescharacteristic
97#2540C2211yescharacteristic
98#2540C2211yescharacteristic
99#2539—21no—
100#2539—21no—
101#2539—21no—
102#2487—21no—
103#2433—21no—
104#2433—21no—
105#2433—21no—
106#2417C2211yescharacteristic, complemented
107#2417C2211yescharacteristic, complemented
108#2415C2211yescharacteristic, complemented
109#2415C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111#2407C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2407C2211yescharacteristic, complemented
114#2397C2211yescharacteristic
115C2×#392—21no—
116#2319C2211yescharacteristic, complemented
117#2275C2211yescharacteristic
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2001C2211yescharacteristic, complemented
143#2001C2211yescharacteristic, 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#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1989C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1981C2211yescharacteristic, complemented
162#1954C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1928C2211yescharacteristic, complemented
166#1927C2211yescharacteristic, complemented
167#1927C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1920C2211yescharacteristic, complemented
171#1919C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic
182#1875C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1873C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1864C2211yescharacteristic
195#1862C2211yescharacteristic
196#1832C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1776C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic
203C4×#102C2211yescharacteristic, complemented
204#1746C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×#135—24no—
218C2×#135—42no—
219C2×#135—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
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
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#553—24no—
240#553—42no—
241#547—24no—
242#547—42no—
243#546—24no—
244#546—42no—
245#546—42no—
246#546—42no—
247#546—42no—
248#546—42no—
249D42—24no—
250D42—42no—
251D42—42no—
252D42—42no—
253D42—42no—
254D42—42no—
255C2×C4⋊Q8C2311yescharacteristic
256C2×#127—21no—
257C2×#127—21no—
258C2×#127—21no—
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#126—21no—
263C2×#125C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×C4×D4—21no—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C22×C4⋊C4—21no—
323C22×C4⋊C4C2311yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327#497—24no—
328#492—42no—
329#490—24no—
330#488—42no—
331#482—24no—
332#481—24no—
333#478—24no—
334#470—24no—
335#470—42no—
336#469—24no—
337#468—42no—
338#467—42no—
339#466—24no—
340#465—24no—
341#465—42no—
342#463—24no—
343#461—24no—
344#459—24no—
345#452—24no—
346#452—24no—
347#450—24no—
348#450—42no—
349#450—42no—
350#450—42no—
351#450—42no—
352#449—24no—
353#449—42no—
354#449—42no—
355#449—42no—
356#449—42no—
357#447—24no—
358#447—24no—
359#442D418yescomplemented
360#435—24no—
361#435—24no—
362C2×#107C2311yescharacteristic
363C2×#107C2311yescharacteristic
364C2×#106C2311yescharacteristic
365C2×#106C2311yescharacteristic
366C2×#106C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368C2×C4⋊C8C2311yescharacteristic
369#418—24no—
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#102—24no—
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×#97C2311yescharacteristic
418C2×C4×C8C2311yescharacteristic
419#400—21no—
420#400—21no—
421#400—21no—
422#400—21no—
423#400—21no—
424#399—21no—
425#399—21no—
426#399—21no—
427#399—21no—
428#399—21no—
429#399D411yescharacteristic
430#399D411yescharacteristic
431#399D411yescharacteristic
432#399D411yescharacteristic
433#398—21no—
434#398—21no—
435#397—21no—
436#397—21no—
437#396—21no—
438#396—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—21no—
445#394—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392D411yescharacteristic
464#392D411yescharacteristic
465#392D411yescharacteristic
466#392D411yescharacteristic
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#389—21no—
484#389—21no—
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#388—21no—
488#388—21no—
489#388—21no—
490#388—21no—
491#388—21no—
492#388—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#384—21no—
504#381—21no—
505#380—21no—
506#380—21no—
507#380—21no—
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519#376C2311yescharacteristic
520C2×#95—21no—
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—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—41no—
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×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
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—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4—82no—
610C22×D4—82no—
611C22×D4—82no—
612C22×D4—82no—
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636AGL(1,ℤ/8)—416no—
637#135—416no—
638C2×Q16—22no—
639C2×Q16—22no—
640C2×Q16—41no—
641C2×Q16—41no—
642C2×Q16—41no—
643C2×Q16—41no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
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×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8C2×D414yes—
683C2×M16—22no—
684C2×M16—22no—
685C2×M16—41no—
686C2×M16—41no—
687C2×M16—41no—
688C2×M16—41no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—41no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8—41no—
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C4⋊Q8—22no—
704C4⋊Q8—22no—
705#127—22no—
706#127—22no—
707#127—41no—
708#127—41no—
709#127—41no—
710#127—41no—
711#127—82no—
712#127—82no—
713#127—82no—
714#126—44no—
715#125—22no—
716#125—22no—
717#124—22no—
718#124—22no—
719#124—41no—
720#124—41no—
721#124—41no—
722#124—41no—
723#123—44no—
724#123—44no—
725#123—44no—
726#123—44no—
727#123—44no—
728#123—44no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—22no—
732C22⋊Q8—22no—
733C22⋊Q8—22no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741C22⋊Q8—41no—
742C22⋊Q8—41no—
743C22⋊Q8—41no—
744C22⋊Q8—41no—
745C22⋊Q8—41no—
746C22⋊Q8—41no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—44no—
759#121—44no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#120—44no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—44no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—44no—
805C4×D4C2×D414yes—
806C4×D4C2×D414yescomplemented
807#117—22no—
808#117—41no—
809C2×C4⋊C4—22no—
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—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—41no—
827C2×C4⋊C4—44no—
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
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—21no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904#107—22no—
905#107—22no—
906#106—22no—
907#106—22no—
908#106C2×D414yescomplemented
909C4⋊C8—22no—
910C4⋊C8—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#102—22no—
923#102—22no—
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—22no—
933#102—22no—
934#102—22no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102C2×D414yes—
944#102C2×D414yescomplemented
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955C22⋊C8—41no—
956C22⋊C8—41no—
957#97C2×D414yescomplemented
958C4×C8—22no—
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#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
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×D4—22no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
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—21no—
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—42no—
1086C2×D4—42no—
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—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—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
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—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—816no—
1167C2×D4—816no—
1168C2×D4—816no—
1169C2×D4C22×D412yes—
1170C2×D4C22×D412yes—
1171C2×D4H(5,𝔽2)12yes—
1172C2×D4H(5,𝔽2)12yes—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C2511yescharacteristic
1243Q16—44no—
1244Q16—82no—
1245SD16—44no—
1246SD16—44no—
1247SD16—44no—
1248SD16—44no—
1249SD16—82no—
1250SD16—82no—
1251SD16—82no—
1252SD16—82no—
1253SD16—82no—
1254D8—28no—
1255D8—44no—
1256D8—82no—
1257D8—82no—
1258M16—44no—
1259M16—82no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—44no—
1283C2×C8—82no—
1284C2×C8C22×D412yes—
1285C2×C8C22×D412yes—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—81no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4C22×D412yes—
1321C4⋊C4C22×D412yes—
1322C4⋊C4H(5,𝔽2)12yes—
1323C4⋊C4H(5,𝔽2)12yes—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
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—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—42no—
1380C42—81no—
1381C42—81no—
1382C42—81no—
1383C42—81no—
1384C42C22×D412yes—
1385C42H(5,𝔽2)12yes—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23#57712yes—
1470C23C23×D411yescharacteristic
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—82no—
1506D4—84no—
1507D4—82no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—82no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4#53514yes—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
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—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—162no—
1617C2×C4D4212yes—
1618C2×C4D4212yes—
1619C2×C4C23×D411yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4C2×H(5,𝔽2)11yescharacteristic
1623C2×C4C2×H(5,𝔽2)11yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C8—22no—
1626C8—22no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8—41no—
1631C8—41no—
1632C8—41no—
1633C22—24no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—168no—
1697C22—168no—
1698C22—168no—
1699C22C2×D4211yescharacteristic
1700C22#348411yescharacteristic
1701C22#348411yescharacteristic
1702C22C2×#57711yescharacteristic
1703C22#358411yescharacteristic
1704C22#358511yescharacteristic
1705C22#358511yescharacteristic
1706C4—22no—
1707C4—22no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4—81no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4C2×#53511yescharacteristic
1728C4#349811yescharacteristic
1729C4#354311yescharacteristic
1730C4#354311yescharacteristic
1731C2—42no—
1732C2—44no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2—82no—
1737C2—161no—
1738C2—161no—
1739C2—161no—
1740C2#3767411yescharacteristic
1741C2#6107111yescharacteristic
1742C2#6107411yescharacteristic
1743C2#6161011yescharacteristic
1744C2#6162811yescharacteristic
1745C2#6164011yescharacteristic
1746C2#6164311yescharacteristic
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×#3318C2semidirect
2. C2×#3267C2semidirect
3. #42679C2semidirect
4. #35921C2semidirect
5. #33040C2semidirect
6. #30727C2semidirect
7. #30724C2semidirect
8. #30716C2semidirect
9. #30703C2semidirect
10. #30515C2semidirect
11. #30512C2semidirect
12. #30505C2semidirect
13. #30502C2semidirect
14. #30271C2semidirect
15. #29802C2semidirect
16. #28609C2semidirect
17. #28492C2semidirect
18. #25890C2semidirect
19. #25754C2semidirect
20. #25753C2semidirect
21. #25575C2semidirect
22. #24448C2semidirect
23. #24442C2semidirect
24. #24432C2semidirect
25. #24426C2semidirect
26. #23860C2semidirect
27. #23860C2semidirect
28. #23850C2semidirect
29. #23850C2semidirect
30. #22267C2semidirect
31. #21126C2semidirect
34. C2×#553C22semidirect
35. C2×#547C22semidirect
44. C2×#497C22semidirect
45. C2×#492C22semidirect
46. C2×#490C22semidirect
47. C2×#488C22semidirect
48. C2×#481C22semidirect
49. C2×#482C22semidirect
51. C2×#470C22semidirect
52. C2×#470C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#467C22semidirect
56. C2×#466C22semidirect
57. C2×#465C22semidirect
58. C2×#465C22semidirect
59. C2×#463C22semidirect
61. C2×#459C22semidirect
63. C2×#452C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
77. C2×#435C22semidirect
78. C2×#435C22semidirect
88. #2642C22semidirect
91. #2562C22semidirect
92. #2542C22semidirect
106. #2417C22semidirect
107. #2417C22semidirect
108. #2415C22semidirect
109. #2415C22semidirect
110. #2407C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
113. #2407C22semidirect
116. #2319C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2041C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2035C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2001C22semidirect
143. #2001C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1989C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1981C22semidirect
162. #1954C22semidirect
163. #1954C22semidirect
164. #1928C22semidirect
165. #1928C22semidirect
166. #1927C22semidirect
167. #1927C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1920C22semidirect
171. #1919C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
182. #1875C22semidirect
183. #1874C22semidirect
184. #1873C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1869C22semidirect
196. #1832C22semidirect
201. #1776C22semidirect
203. C4×#102C22semidirect
204. #1746C22semidirect
359. #442D4semidirect
806. C4×D4C2×D4semidirect
908. #106C2×D4semidirect
944. #102C2×D4semidirect
957. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#32672
#426792
#359212
#330402
#307272
#307242
#307162
#307032
#305152
#305122
#305052
#305022
#302712
#298022
#286092
#284922
#258902
#257542
#257532
#255752
#244482
#244422
#244322
#244262
#238602
#238502
#222672
#211262