Finite Group Databasebeta

← #6809185

Subgroups — #6809185

Order 512.

2595 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3155C211yesmaximal, characteristic, complemented
3#42966C211yesmaximal, characteristic, complemented
4#42422C211yesmaximal, characteristic, complemented
5#33140C211yesmaximal, characteristic, complemented
6#30763C211yesmaximal, characteristic, complemented
7#30753C211yesmaximal, characteristic, complemented
8#30747C211yesmaximal, characteristic, complemented
9#30733C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30448C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29630C211yesmaximal, characteristic, complemented
15#29630C211yesmaximal, characteristic, complemented
16#28474C211yesmaximal, characteristic, complemented
17#28470C211yesmaximal, characteristic, complemented
18#26268C211yesmaximal, characteristic, complemented
19#26264C211yesmaximal, characteristic, complemented
20#25794C211yesmaximal, characteristic, complemented
21#25788C211yesmaximal, characteristic, complemented
22#25779C211yesmaximal, characteristic, complemented
23#25422C211yesmaximal, characteristic, complemented
24#25411C211yesmaximal, characteristic, complemented
25#24362C211yesmaximal, characteristic, complemented
26#24354C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#21568C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic, complemented
36C23×D8C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#535C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic, complemented
41#3264—28no—
42#3155—28no—
43C2×#496C2211yescharacteristic
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#495C2211yescharacteristic, complemented
51C2×#493C2211yescharacteristic
52C2×#493C2211yescharacteristic, complemented
53C2×#493C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic
55C2×#466C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic, complemented
63C2×#459C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#442C2211yescharacteristic, complemented
75C2×#440C2211yescharacteristic, complemented
76C2×C4×SD16C2211yescharacteristic, complemented
77C2×#435C2211yescharacteristic
78C2×#405C2211yescharacteristic, complemented
79#2813—21no—
80#2812—21no—
81#2688—21no—
82#2679—21no—
83#2679—21no—
84#2678—21no—
85#2678—21no—
86#2671—21no—
87#2668—21no—
88#2668—21no—
89#2661—21no—
90#2624C2211yescharacteristic, complemented
91#2624C2211yescharacteristic, complemented
92#2617—21no—
93#2617—21no—
94#2613—21no—
95#2548C2211yescharacteristic, complemented
96#2548C2211yescharacteristic, complemented
97#2544C2211yescharacteristic, complemented
98#2541C2211yescharacteristic, complemented
99#2539—21no—
100#2447C2211yescharacteristic, complemented
101#2445C2211yescharacteristic, complemented
102#2445C2211yescharacteristic, complemented
103#2445C2211yescharacteristic, complemented
104#2435C2211yescharacteristic, complemented
105#2433C2211yescharacteristic, complemented
106#2433C2211yescharacteristic, complemented
107#2433C2211yescharacteristic, complemented
108#2433C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2428C2211yescharacteristic, complemented
111#2427C2211yescharacteristic, complemented
112#2426C2211yescharacteristic, complemented
113#2426C2211yescharacteristic, complemented
114#2410—21no—
115#2408C2211yescharacteristic
116#2407C2211yescharacteristic
117#2395C2211yescharacteristic
118#2341C2211yescharacteristic, complemented
119D4×C22⋊C4C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2001C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#1999C2211yescharacteristic
158#1999C2211yescharacteristic
159#1999C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1972C2211yescharacteristic, complemented
164#1972C2211yescharacteristic, complemented
165#1970C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1943C2211yescharacteristic, complemented
169#1941C2211yescharacteristic, complemented
170#1936C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1934C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1917C2211yescharacteristic, complemented
177#1916C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1879C2211yescharacteristic, complemented
190#1878C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1850C2211yescharacteristic, complemented
194#1818C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1770C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)D418yescomplemented
218C2×#135—24no—
219C2×#135—42no—
220C2×#135—42no—
221C22×Q16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8—24no—
231C22×D8—24no—
232C22×D8—42no—
233C22×D8—42no—
234C22×D8—42no—
235C22×D8—42no—
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×M16C2311yescharacteristic
253C23×C8C2311yescharacteristic
254C23×C8C2311yescharacteristic
255#546—24no—
256#546—42no—
257D42—24no—
258D42—42no—
259#535—24no—
260#535—24no—
261#535—42no—
262#535—42no—
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
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×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324#496—24no—
325#496—24no—
326#496—24no—
327#496—24no—
328#496—24no—
329#496—42no—
330#495—24no—
331#495—24no—
332#493—24no—
333#493—24no—
334#493—42no—
335#469—24no—
336#466—42no—
337#465—24no—
338#465—42no—
339#464—42no—
340#463—24no—
341#460—42no—
342#459—24no—
343#459—42no—
344#459—42no—
345#450—24no—
346#450—42no—
347#449—24no—
348#449—42no—
349#447—24no—
350#447—24no—
351#447—42no—
352#447—42no—
353#447—42no—
354#447—42no—
355#442—24no—
356#440—42no—
357C4×SD16—42no—
358#435—24no—
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400#405—24no—
401C2×#97C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#400D411yescharacteristic
409#399—21no—
410#399—21no—
411#399D411yescharacteristic
412#398D411yescharacteristic
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397D411yescharacteristic
419#397D411yescharacteristic
420#397D411yescharacteristic
421#396—21no—
422#396—21no—
423#394—21no—
424#394—21no—
425#394—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#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—21no—
445#394—21no—
446#394—21no—
447#394D411yescharacteristic
448#394D411yescharacteristic
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#392—21no—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#388—21no—
493#388—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#385—21no—
507#385—21no—
508#381—21no—
509#380—21no—
510#380—21no—
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41C2×D414yes—
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×D4—21no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
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—22no—
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—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—44no—
609C22×D4—82no—
610C22×D4—82no—
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D414yes—
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629AGL(1,ℤ/8)—416no—
630AGL(1,ℤ/8)—416no—
631#135—416no—
632C2×Q16—22no—
633C2×Q16—22no—
634C2×Q16—41no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16C2×D414yes—
658C2×SD16C2×D414yes—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
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—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—416no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—416no—
707C2×D8C2×D414yes—
708C2×D8C2×D414yes—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16C2×D414yes—
712C22×C8—22no—
713C22×C8—22no—
714C22×C8—22no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—22no—
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726#127—22no—
727#127—22no—
728#127—22no—
729#127—22no—
730#127—22no—
731#127—41no—
732#127—41no—
733#127—41no—
734#127—41no—
735#127—41no—
736#127—41no—
737#127—41no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#124—22no—
743#124—22no—
744#124—22no—
745#124—22no—
746#124—22no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#123—44no—
755#123—82no—
756#123—82no—
757#123—82no—
758C22⋊Q8—22no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—44no—
768#121—41no—
769#121—44no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—82no—
781#121—82no—
782#121—82no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—82no—
791#120—82no—
792#120—82no—
793#120—82no—
794#120—82no—
795#120—82no—
796#120—82no—
797#120—82no—
798#120—82no—
799C4×Q8—41no—
800C4×Q8—41no—
801C4×Q8—41no—
802C4×Q8—41no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813#117—22no—
814#117—22no—
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⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
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—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—44no—
891C2×C22⋊C4—82no—
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C42—21no—
903C2×C42—21no—
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#107—22no—
910#106—22no—
911#106—22no—
912C4⋊C8—22no—
913C4⋊C8—22no—
914C4⋊C8—22no—
915#103—22no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#102—22no—
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—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—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950#97—22no—
951#97—22no—
952#97—22no—
953#97—22no—
954C4×C8—22no—
955C4×C8—22no—
956C4×C8—22no—
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#95C2×D411yescharacteristic
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977C24—21no—
978C24—21no—
979C24—21no—
980C24—24no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
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×Q8C22×D412yes—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
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—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—41no—
1087C2×D4—44no—
1088C2×D4—44no—
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—44no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—82no—
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×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
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—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—816no—
1184C2×D4C22×D412yes—
1185C2×D4C22×D412yes—
1186C2×D4C22×D412yes—
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—24no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D412yes—
1235C22×C4C22×D411yescharacteristic
1236C22×C4H(5,𝔽2)12yes—
1237C22×C4C2511yescharacteristic
1238Q16—44no—
1239SD16—28no—
1240SD16—44no—
1241SD16—44no—
1242SD16—44no—
1243SD16—44no—
1244SD16—44no—
1245SD16—82no—
1246SD16—82no—
1247D8—28no—
1248D8—44no—
1249D8—44no—
1250D8—44no—
1251D8—44no—
1252D8—44no—
1253D8—44no—
1254D8—44no—
1255D8—44no—
1256D8—44no—
1257D8—44no—
1258D8—44no—
1259D8—82no—
1260D8—82no—
1261D8—82no—
1262D8—82no—
1263M16—28no—
1264C2×C8—28no—
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—21no—
1283C2×C8—44no—
1284C2×C8C22×D412yes—
1285C2×C8C22×D412yes—
1286C2×C8H(5,𝔽2)12yes—
1287C2×C8H(5,𝔽2)12yes—
1288C2×C8H(5,𝔽2)12yes—
1289C2×C8H(5,𝔽2)12yes—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—42no—
1310C4⋊C4—81no—
1311C4⋊C4—81no—
1312C4⋊C4—81no—
1313C4⋊C4—81no—
1314C4⋊C4—81no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
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—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—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
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—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—81no—
1392C42—81no—
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—22no—
1407C23—22no—
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—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—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23D4212yes—
1490C23#57612yes—
1491C23C23×D411yescharacteristic
1492Q8—22no—
1493Q8—22no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500D4—22no—
1501D4—22no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—22no—
1506D4—44no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
1557D4—162no—
1558D4—162no—
1559D4—162no—
1560D4—162no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
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—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—162no—
1631C2×C4—162no—
1632C2×C4—162no—
1633C2×C4D4212yes—
1634C2×C4#57612yes—
1635C2×C4C23×D411yescharacteristic
1636C2×C4C2×H(5,𝔽2)11yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C2×C4C2×H(5,𝔽2)11yescharacteristic
1639C2×C4C2×H(5,𝔽2)11yescharacteristic
1640C2×C4C2×H(5,𝔽2)11yescharacteristic
1641C8—22no—
1642C8—22no—
1643C8—22no—
1644C8—41no—
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8#53414yes—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
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—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—168no—
1720C22—168no—
1721C22—168no—
1722C22—168no—
1723C22C2×D4211yescharacteristic
1724C22#349811yescharacteristic
1725C22#349811yescharacteristic
1726C22C2×#57611yescharacteristic
1727C22C2×#57611yescharacteristic
1728C22#358511yescharacteristic
1729C22#358511yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4C2×#53411yescharacteristic
1751C4#348411yescharacteristic
1752C4#354311yescharacteristic
1753C4#354311yescharacteristic
1754C2—42no—
1755C2—42no—
1756C2—82no—
1757C2—82no—
1758C2—82no—
1759C2—161no—
1760C2—161no—
1761C2—161no—
1762C2—161no—
1763C2—161no—
1764C2#3933611yescharacteristic
1765C2#6107211yescharacteristic
1766C2#6109311yescharacteristic
1767C2#6243111yescharacteristic
1768C2#6244311yescharacteristic
1769C2#6245911yescharacteristic
1770C2#6245911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3264C2semidirect
2. C2×#3155C2semidirect
3. #42966C2semidirect
4. #42422C2semidirect
5. #33140C2semidirect
6. #30763C2semidirect
7. #30753C2semidirect
8. #30747C2semidirect
9. #30733C2semidirect
10. #30472C2semidirect
11. #30460C2semidirect
12. #30448C2semidirect
13. #30444C2semidirect
14. #29630C2semidirect
15. #29630C2semidirect
16. #28474C2semidirect
17. #28470C2semidirect
18. #26268C2semidirect
19. #26264C2semidirect
20. #25794C2semidirect
21. #25788C2semidirect
22. #25779C2semidirect
23. #25422C2semidirect
24. #25411C2semidirect
25. #24362C2semidirect
26. #24354C2semidirect
27. #24275C2semidirect
28. #23850C2semidirect
29. #23848C2semidirect
30. #22443C2semidirect
31. #21568C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
35. C23×D8C22semidirect
36. C23×D8C22semidirect
39. C2×#535C22semidirect
40. C2×#535C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
49. C2×#495C22semidirect
50. C2×#495C22semidirect
52. C2×#493C22semidirect
53. C2×#493C22semidirect
55. C2×#466C22semidirect
56. C2×#465C22semidirect
57. C2×#465C22semidirect
58. C2×#464C22semidirect
59. C2×#460C22semidirect
60. C2×#463C22semidirect
61. C2×#459C22semidirect
62. C2×#459C22semidirect
63. C2×#459C22semidirect
65. C2×#449C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#447C22semidirect
74. C2×#442C22semidirect
75. C2×#440C22semidirect
76. C2×C4×SD16C22semidirect
78. C2×#405C22semidirect
90. #2624C22semidirect
91. #2624C22semidirect
95. #2548C22semidirect
96. #2548C22semidirect
97. #2544C22semidirect
98. #2541C22semidirect
100. #2447C22semidirect
101. #2445C22semidirect
102. #2445C22semidirect
103. #2445C22semidirect
104. #2435C22semidirect
105. #2433C22semidirect
106. #2433C22semidirect
107. #2433C22semidirect
108. #2433C22semidirect
109. #2431C22semidirect
110. #2428C22semidirect
111. #2427C22semidirect
112. #2426C22semidirect
113. #2426C22semidirect
118. #2341C22semidirect
119. D4×C22⋊C4C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2001C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
159. #1999C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1972C22semidirect
164. #1972C22semidirect
165. #1970C22semidirect
166. #1970C22semidirect
167. #1968C22semidirect
168. #1943C22semidirect
169. #1941C22semidirect
170. #1936C22semidirect
171. #1936C22semidirect
172. #1934C22semidirect
173. #1934C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1917C22semidirect
177. #1916C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1878C22semidirect
191. #1877C22semidirect
193. #1850C22semidirect
194. #1818C22semidirect
195. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1771C22semidirect
201. #1770C22semidirect
202. #1753C22semidirect
203. #1752C22semidirect
204. C8×C22⋊C4C22semidirect
217. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#31552
#429662
#424222
#331402
#307632
#307532
#307472
#307332
#304722
#304602
#304482
#304442
#296302
#284742
#284702
#262682
#262642
#257942
#257882
#257792
#254222
#254112
#243622
#243542
#242752
#238502
#238482
#224432
#215682