Finite Group Databasebeta

← #6816983

Subgroups — #6816983

Order 512.

2477 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3399C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#42484C211yesmaximal, characteristic, complemented
4#42483C211yesmaximal, characteristic, complemented
5#33308C211yesmaximal, characteristic, complemented
6#30472C211yesmaximal, characteristic, complemented
7#30468C211yesmaximal, characteristic, complemented
8#30462C211yesmaximal, characteristic, complemented
9#30460C211yesmaximal, characteristic, complemented
10#30458C211yesmaximal, characteristic, complemented
11#30452C211yesmaximal, characteristic, complemented
12#30444C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29802C211yesmaximal, characteristic, complemented
15#29802C211yesmaximal, characteristic, complemented
16#28746C211yesmaximal, characteristic, complemented
17#28493C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25793C211yesmaximal, characteristic, complemented
20#25788C211yesmaximal, characteristic, complemented
21#25779C211yesmaximal, characteristic, complemented
22#25762C211yesmaximal, characteristic, complemented
23#25757C211yesmaximal, characteristic, complemented
24#25635C211yesmaximal, characteristic, complemented
25#25631C211yesmaximal, characteristic, complemented
26#25426C211yesmaximal, characteristic, complemented
27#25421C211yesmaximal, characteristic, complemented
28#25416C211yesmaximal, characteristic, complemented
29#25411C211yesmaximal, characteristic, complemented
30#21637C211yesmaximal, characteristic, complemented
31#21290C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#559C2211yescharacteristic, complemented
35C2×#550C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×D42C2211yescharacteristic
38#3399—28no—
39#3264—28no—
40C2×#496C2211yescharacteristic
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#496C2211yescharacteristic, complemented
47C2×#495C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#493C2211yescharacteristic
51C2×#493C2211yescharacteristic, complemented
52C2×#493C2211yescharacteristic, complemented
53C2×#493C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic
55C2×#469C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic, complemented
57C2×#466C2211yescharacteristic, complemented
58C2×#465C2211yescharacteristic
59C2×#465C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic
62C2×#463C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic
65C2×#459C2211yescharacteristic, complemented
66C2×#459C2211yescharacteristic, complemented
67C2×#459C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic
76C2×#447C2211yescharacteristic
77C2×#447C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#446C2211yescharacteristic, complemented
81C2×#442C2211yescharacteristic
82C2×#442C2211yescharacteristic, complemented
83C2×C4×SD16C2211yescharacteristic, complemented
84C2×#435C2211yescharacteristic
85#2815—21no—
86#2813—21no—
87#2703—21no—
88#2703—21no—
89#2678—21no—
90#2678—21no—
91#2670—21no—
92#2670—21no—
93#2669—21no—
94#2669—21no—
95#2657C2211yescharacteristic, complemented
96#2657C2211yescharacteristic, complemented
97#2635—21no—
98#2617—21no—
99#2615—21no—
100#2613—21no—
101#2592C2211yescharacteristic, complemented
102#2548C2211yescharacteristic, complemented
103#2541C2211yescharacteristic
104#2540C2211yescharacteristic
105#2435C2211yescharacteristic
106#2435C2211yescharacteristic, complemented
107#2433C2211yescharacteristic
108#2433C2211yescharacteristic, complemented
109#2433C2211yescharacteristic, complemented
110#2433C2211yescharacteristic, complemented
111#2431C2211yescharacteristic, complemented
112#2431C2211yescharacteristic, complemented
113#2428C2211yescharacteristic
114#2428C2211yescharacteristic, complemented
115#2428C2211yescharacteristic, complemented
116#2428C2211yescharacteristic, complemented
117#2427C2211yescharacteristic, complemented
118#2427C2211yescharacteristic, complemented
119#2426C2211yescharacteristic
120#2426C2211yescharacteristic, complemented
121#2408—21no—
122#2404—21no—
123#2398C2211yescharacteristic
124#2319C2211yescharacteristic, complemented
125#2319C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2042C2211yescharacteristic, complemented
133#2042C2211yescharacteristic, complemented
134#2041C2211yescharacteristic, complemented
135#2041C2211yescharacteristic, complemented
136#2041C2211yescharacteristic, complemented
137#2041C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic
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#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#1999C2211yescharacteristic
160#1999C2211yescharacteristic
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1999C2211yescharacteristic, complemented
166#1984C2211yescharacteristic, complemented
167#1983C2211yescharacteristic, complemented
168#1983C2211yescharacteristic, complemented
169#1982C2211yescharacteristic, complemented
170#1982C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1972C2211yescharacteristic
173#1972C2211yescharacteristic, complemented
174#1970C2211yescharacteristic
175#1970C2211yescharacteristic, complemented
176#1968C2211yescharacteristic, complemented
177#1954C2211yescharacteristic
178#1944C2211yescharacteristic, complemented
179#1941C2211yescharacteristic, complemented
180#1936C2211yescharacteristic, complemented
181#1936C2211yescharacteristic, complemented
182#1934C2211yescharacteristic, complemented
183#1934C2211yescharacteristic, complemented
184#1924C2211yescharacteristic, complemented
185#1924C2211yescharacteristic, complemented
186#1923C2211yescharacteristic, complemented
187#1923C2211yescharacteristic, complemented
188#1880C2211yescharacteristic, complemented
189#1879C2211yescharacteristic, complemented
190#1879C2211yescharacteristic, complemented
191#1879C2211yescharacteristic, complemented
192#1879C2211yescharacteristic, complemented
193#1879C2211yescharacteristic, complemented
194#1878C2211yescharacteristic, complemented
195#1877C2211yescharacteristic, complemented
196#1832C2211yescharacteristic, complemented
197#1776C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1726C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8—24no—
224C22×D8—42no—
225C22×D8—42no—
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C23×C8C2311yescharacteristic
244#559—24no—
245#559—42no—
246#550—24no—
247#550—42no—
248#546—24no—
249#546—42no—
250D42—24no—
251D42—42no—
252C2×#127—21no—
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#124—21no—
263C2×#124—21no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
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×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×D4—21no—
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C22×C22⋊C4—21no—
316#496—24no—
317#496—24no—
318#496—24no—
319#496—42no—
320#496—42no—
321#496—42no—
322#496—42no—
323#495—42no—
324#495—42no—
325#495—42no—
326#493—24no—
327#493—42no—
328#493—42no—
329#493—42no—
330#469—24no—
331#469—42no—
332#468—42no—
333#466—42no—
334#465—24no—
335#465—42no—
336#463—24no—
337#463—24no—
338#463—24no—
339#460—24no—
340#459—24no—
341#459—24no—
342#459—24no—
343#459—24no—
344#452—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#447—42no—
356#446—24no—
357#442—24no—
358#442D418yescomplemented
359C4×SD16—24no—
360#435—24no—
361C2×#107C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412#400D411yescharacteristic
413#400D411yescharacteristic
414#399—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397D411yescharacteristic
419#397D411yescharacteristic
420#396—21no—
421#396—21no—
422#394—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#394D411yescharacteristic
437#394D411yescharacteristic
438#393—21no—
439#393D411yescharacteristic
440#393D411yescharacteristic
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#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#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#390—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#388—21no—
491#388—21no—
492#388—21no—
493#388—21no—
494#388—21no—
495#388—21no—
496#388—21no—
497#388—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#386—21no—
507#386—21no—
508#381—21no—
509#381—21no—
510#380—21no—
511#380—21no—
512#380—21no—
513#380—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517#379—21no—
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523C4×C22⋊C4C2311yescharacteristic
524#376C2311yescharacteristic
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—41no—
544C2×#41—44no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—82no—
550C2×#41—82no—
551C22×Q8C2×D411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×Q8C2411yescharacteristic
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
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—21no—
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—41no—
589C22×D4—41no—
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—44no—
604C22×D4—82no—
605C22×D4—82no—
606C22×D4C2×D411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623AGL(1,ℤ/8)—416no—
624C2×Q16—22no—
625C2×Q16—41no—
626C2×Q16—41no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
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—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
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—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—416no—
699C2×D8C2×D414yes—
700C2×M16—22no—
701C2×M16—22no—
702C2×M16—22no—
703C22×C8—22no—
704C22×C8—22no—
705C22×C8—22no—
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714#127—22no—
715#127—22no—
716#127—22no—
717#127—22no—
718#127—22no—
719#127—22no—
720#127—22no—
721#127—41no—
722#127—41no—
723#127—41no—
724#127—41no—
725#127—41no—
726#127—41no—
727#127—41no—
728#127—41no—
729#127—41no—
730#127—41no—
731#127—41no—
732#127—82no—
733#124—22no—
734#124—22no—
735#124—22no—
736#124—22no—
737#124—22no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—44no—
748#124—82no—
749#123—44no—
750#123—44no—
751#123—44no—
752C22⋊Q8—22no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—44no—
762#121—44no—
763#121—44no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—44no—
768#121—44no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—82no—
782#121—82no—
783#121—82no—
784#121—82no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—82no—
789#120—82no—
790#120—82no—
791#120—82no—
792#120—82no—
793#120—82no—
794#120—82no—
795#120—82no—
796C4×Q8—22no—
797C4×Q8—22no—
798C4×Q8—22no—
799C4×Q8—41no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—44no—
811C4×D4C2×D414yes—
812C4×D4C2×D414yes—
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⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901#107—22no—
902#106—22no—
903#106C2×D414yes—
904C4⋊C8—22no—
905C4⋊C8—22no—
906C4⋊C8—22no—
907C4⋊C8—22no—
908#103—22no—
909#103—22no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
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#102C2×D414yes—
937#102C2×D414yes—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944#97—22no—
945#97—22no—
946#97—22no—
947#97C2×D414yes—
948C4×C8—22no—
949C4×C8—22no—
950C4×C8—22no—
951C4×C8—22no—
952#95—21no—
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#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965#95C2×D411yescharacteristic
966#95C2×D411yescharacteristic
967#95C2×D411yescharacteristic
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24C22×D411yescharacteristic
1004C24C22×D411yescharacteristic
1005#41—44no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—816no—
1010C2×Q8—22no—
1011C2×Q8—22no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
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—41no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
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—41no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
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—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—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—82no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
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—816no—
1180C2×D4C22×D412yes—
1181C2×D4C22×D412yes—
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—24no—
1197C22×C4—24no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—81no—
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×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
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×C4C2511yescharacteristic
1233Q16—82no—
1234SD16—44no—
1235SD16—44no—
1236SD16—44no—
1237SD16—82no—
1238SD16—82no—
1239SD16—82no—
1240SD16—82no—
1241SD16—82no—
1242D8—28no—
1243D8—44no—
1244D8—44no—
1245D8—44no—
1246D8—44no—
1247D8—44no—
1248D8—82no—
1249D8—82no—
1250D8—82no—
1251D8—82no—
1252D8—82no—
1253D8—82no—
1254D8—82no—
1255D8—82no—
1256D8—82no—
1257D8—82no—
1258M16—44no—
1259C2×C8—21no—
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—44no—
1278C2×C8C22×D412yes—
1279C2×C8C22×D412yes—
1280C2×C8H(5,𝔽2)12yes—
1281C2×C8H(5,𝔽2)12yes—
1282C2×C8H(5,𝔽2)12yes—
1283C2×C8H(5,𝔽2)12yes—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
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—42no—
1299C4⋊C4—42no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4—81no—
1304C4⋊C4—81no—
1305C4⋊C4—81no—
1306C4⋊C4C22×D412yes—
1307C4⋊C4C22×D412yes—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
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—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
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—
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—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—42no—
1378C42—81no—
1379C42—81no—
1380C42C22×D412yes—
1381C42H(5,𝔽2)12yes—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—22no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—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—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23#57612yes—
1473C23C23×D411yescharacteristic
1474Q8—44no—
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—44no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
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—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
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—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
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—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—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—162no—
1618C2×C4D4212yes—
1619C2×C4D4212yes—
1620C2×C4#57612yes—
1621C2×C4C23×D411yescharacteristic
1622C2×C4C2×H(5,𝔽2)11yescharacteristic
1623C2×C4C2×H(5,𝔽2)11yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C8—22no—
1628C8—22no—
1629C8—22no—
1630C8—41no—
1631C8—41no—
1632C8—41no—
1633C8—41no—
1634C8#53514yes—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
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—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—168no—
1706C22—168no—
1707C22—168no—
1708C22C2×D4211yescharacteristic
1709C22#349811yescharacteristic
1710C22#349811yescharacteristic
1711C22C2×#57611yescharacteristic
1712C22C2×#57611yescharacteristic
1713C22#358511yescharacteristic
1714C22#358511yescharacteristic
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4C2×#53511yescharacteristic
1736C4#349811yescharacteristic
1737C4#354311yescharacteristic
1738C4#354311yescharacteristic
1739C2—42no—
1740C2—81no—
1741C2—82no—
1742C2—82no—
1743C2—161no—
1744C2—161no—
1745C2—161no—
1746C2—161no—
1747C2—161no—
1748C2—161no—
1749C2#3936111yescharacteristic
1750C2#6107211yescharacteristic
1751C2#6107211yescharacteristic
1752C2#6243111yescharacteristic
1753C2#6244311yescharacteristic
1754C2#6245911yescharacteristic
1755C2#6246311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2398 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3399C2semidirect
2. C2×#3264C2semidirect
3. #42484C2semidirect
4. #42483C2semidirect
5. #33308C2semidirect
6. #30472C2semidirect
7. #30468C2semidirect
8. #30462C2semidirect
9. #30460C2semidirect
10. #30458C2semidirect
11. #30452C2semidirect
12. #30444C2semidirect
13. #30444C2semidirect
14. #29802C2semidirect
15. #29802C2semidirect
16. #28746C2semidirect
17. #28493C2semidirect
18. #25794C2semidirect
19. #25793C2semidirect
20. #25788C2semidirect
21. #25779C2semidirect
22. #25762C2semidirect
23. #25757C2semidirect
24. #25635C2semidirect
25. #25631C2semidirect
26. #25426C2semidirect
27. #25421C2semidirect
28. #25416C2semidirect
29. #25411C2semidirect
30. #21637C2semidirect
31. #21290C2semidirect
34. C2×#559C22semidirect
35. C2×#550C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
46. C2×#496C22semidirect
47. C2×#495C22semidirect
48. C2×#495C22semidirect
49. C2×#495C22semidirect
51. C2×#493C22semidirect
52. C2×#493C22semidirect
53. C2×#493C22semidirect
55. C2×#469C22semidirect
56. C2×#468C22semidirect
57. C2×#466C22semidirect
59. C2×#465C22semidirect
60. C2×#460C22semidirect
62. C2×#463C22semidirect
63. C2×#463C22semidirect
65. C2×#459C22semidirect
66. C2×#459C22semidirect
67. C2×#459C22semidirect
68. C2×#452C22semidirect
70. C2×#449C22semidirect
72. C2×#450C22semidirect
77. C2×#447C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#446C22semidirect
82. C2×#442C22semidirect
83. C2×C4×SD16C22semidirect
95. #2657C22semidirect
96. #2657C22semidirect
101. #2592C22semidirect
102. #2548C22semidirect
106. #2435C22semidirect
108. #2433C22semidirect
109. #2433C22semidirect
110. #2433C22semidirect
111. #2431C22semidirect
112. #2431C22semidirect
114. #2428C22semidirect
115. #2428C22semidirect
116. #2428C22semidirect
117. #2427C22semidirect
118. #2427C22semidirect
120. #2426C22semidirect
124. #2319C22semidirect
125. #2319C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
132. #2042C22semidirect
133. #2042C22semidirect
134. #2041C22semidirect
135. #2041C22semidirect
136. #2041C22semidirect
137. #2041C22semidirect
138. #2015C22semidirect
139. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2001C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1999C22semidirect
166. #1984C22semidirect
167. #1983C22semidirect
168. #1983C22semidirect
169. #1982C22semidirect
170. #1982C22semidirect
171. #1973C22semidirect
173. #1972C22semidirect
175. #1970C22semidirect
176. #1968C22semidirect
178. #1944C22semidirect
179. #1941C22semidirect
180. #1936C22semidirect
181. #1936C22semidirect
182. #1934C22semidirect
183. #1934C22semidirect
184. #1924C22semidirect
185. #1924C22semidirect
186. #1923C22semidirect
187. #1923C22semidirect
188. #1880C22semidirect
189. #1879C22semidirect
190. #1879C22semidirect
191. #1879C22semidirect
192. #1879C22semidirect
193. #1879C22semidirect
194. #1878C22semidirect
195. #1877C22semidirect
196. #1832C22semidirect
197. #1776C22semidirect
198. C4×#102C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1726C22semidirect
358. #442D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33992
C2×#32642
#424842
#424832
#333082
#304722
#304682
#304622
#304602
#304582
#304522
#304442
#298022
#287462
#284932
#257942
#257932
#257882
#257792
#257622
#257572
#256352
#256312
#254262
#254212
#254162
#254112
#216372
#212902