Finite Group Databasebeta

← #7484544

Subgroups — #7484544

Order 512.

1964 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#46054C211yesmaximal, characteristic, complemented
2#39953C211yesmaximal, characteristic, complemented
3#32674C211yesmaximal, characteristic, complemented
4#32671C211yesmaximal, characteristic, complemented
5#30548C211yesmaximal, characteristic, complemented
6#30539C211yesmaximal, characteristic, complemented
7#30536C211yesmaximal, characteristic, complemented
8#30535C211yesmaximal, characteristic, complemented
9#30512C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30474C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#30468C211yesmaximal, characteristic, complemented
14#30463C211yesmaximal, characteristic, complemented
15#30268C211yesmaximal, characteristic, complemented
16#30266C211yesmaximal, characteristic, complemented
17#29562C211yesmaximal, characteristic, complemented
18#29558C211yesmaximal, characteristic, complemented
19#28918C211yesmaximal, characteristic, complemented
20#28917C211yesmaximal, characteristic, complemented
21#28916C211yesmaximal, characteristic, complemented
22#28913C211yesmaximal, characteristic, complemented
23#25796C211yesmaximal, characteristic, complemented
24#25794C211yesmaximal, characteristic, complemented
25#25794C211yesmaximal, characteristic, complemented
26#25793C211yesmaximal, characteristic, complemented
27#25635C211yesmaximal, characteristic, complemented
28#25633C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#23861C211yesmaximal, characteristic, complemented
31#23271C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#559C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×#497C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic
38C2×#496C2211yescharacteristic
39C2×#496C2211yescharacteristic, complemented
40C2×#495C2211yescharacteristic
41C2×#493C2211yescharacteristic
42C2×#491C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#470C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic
50C2×#460C2211yescharacteristic, complemented
51C2×#463C2211yescharacteristic, complemented
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic, complemented
54C2×#452C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic, complemented
57C2×#450C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic, complemented
62#2861C2211yescharacteristic, complemented
63#2858C2211yescharacteristic, complemented
64#2858C2211yescharacteristic, complemented
65#2828—21no—
66#2753—21no—
67#2733—21no—
68#2712—21no—
69#2710—21no—
70#2706—21no—
71#2684—21no—
72#2678—21no—
73#2670—21no—
74#2670—21no—
75#2670—21no—
76#2661—21no—
77#2592C2211yescharacteristic, complemented
78#2592C2211yescharacteristic, complemented
79#2548C2211yescharacteristic, complemented
80#2540C2211yescharacteristic
81#2492C2211yescharacteristic, complemented
82#2491C2211yescharacteristic
83#2490C2211yescharacteristic
84#2490C2211yescharacteristic, complemented
85#2435C2211yescharacteristic, complemented
86#2435C2211yescharacteristic, complemented
87#2433C2211yescharacteristic, complemented
88#2433C2211yescharacteristic, complemented
89#2432C2211yescharacteristic
90#2431C2211yescharacteristic
91#2431C2211yescharacteristic
92#2431C2211yescharacteristic
93#2429C2211yescharacteristic, complemented
94#2428C2211yescharacteristic
95#2427C2211yescharacteristic, complemented
96#2426C2211yescharacteristic
97#2414—21no—
98#2411—21no—
99#2408C2211yescharacteristic
100#2407C2211yescharacteristic
101#2375—21no—
102#2321—21no—
103C4×#124C2211yescharacteristic
104#2293C2211yescharacteristic, complemented
105#2059C2211yescharacteristic, complemented
106#2058C2211yescharacteristic, complemented
107#2056C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2035C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2023C2211yescharacteristic, complemented
119#2015C2211yescharacteristic, complemented
120#2015C2211yescharacteristic, complemented
121#2015C2211yescharacteristic, complemented
122#2015C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2013C2211yescharacteristic, complemented
127#2013C2211yescharacteristic, complemented
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic, complemented
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1984C2211yescharacteristic, complemented
154#1984C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1982C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1972C2211yescharacteristic
159#1972C2211yescharacteristic
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1968C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1935C2211yescharacteristic, complemented
169#1928C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1927C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1926C2211yescharacteristic, complemented
176#1925C2211yescharacteristic, complemented
177#1924C2211yescharacteristic, complemented
178#1924C2211yescharacteristic, complemented
179#1924C2211yescharacteristic, complemented
180#1924C2211yescharacteristic, complemented
181#1895C2211yescharacteristic
182#1894C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1870C2211yescharacteristic
192#1870C2211yescharacteristic
193#1788C2211yescharacteristic
194#1786C2211yescharacteristic, complemented
195C4×#103C2211yescharacteristic, complemented
196C4×#102C2211yescharacteristic, complemented
197#1753C2211yescharacteristic, complemented
198#1753C2211yescharacteristic, complemented
199#1753C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1745C2211yescharacteristic, complemented
202#1745C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235#559—42no—
236#559—42no—
237#546—42no—
238#546—42no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×C4⋊Q8C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#125C2311yescharacteristic
246C2×#124—21no—
247C2×#124—21no—
248C2×#124—21no—
249C2×#124—21no—
250C2×#124—21no—
251C2×#124D411yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#124C2311yescharacteristic
258C2×#124C2311yescharacteristic
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×C4×Q8C2311yescharacteristic
281C2×C4×Q8C2311yescharacteristic
282C2×C4×D4—21no—
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×#117—21no—
287C22×C22⋊C4—21no—
288#497—42no—
289#496—42no—
290#496—42no—
291#496—42no—
292#495—42no—
293#493—42no—
294#491—42no—
295#490—42no—
296#489—42no—
297#489—42no—
298#470—42no—
299#469—42no—
300#469—42no—
301#468—42no—
302#463—42no—
303#460—42no—
304#452—42no—
305#452—42no—
306#452—42no—
307#450—42no—
308#449—42no—
309#449—42no—
310#447—42no—
311#447—42no—
312#447—42no—
313#447—42no—
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×C4×C8C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364#400—21no—
365#399—21no—
366#398—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#396—21no—
373#396—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#393—21no—
391#393—21no—
392#393—21no—
393#393—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#391—21no—
409#391D411yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390D411yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#389—21no—
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388D411yescharacteristic
461#388D411yescharacteristic
462#388D411yescharacteristic
463#388D411yescharacteristic
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#385—21no—
474#385—21no—
475#385—21no—
476#382D411yescharacteristic
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481#379—21no—
482#379—21no—
483#379—21no—
484#379—21no—
485C4×C4⋊C4C2311yescharacteristic
486C4×C4⋊C4C2311yescharacteristic
487C4×C4⋊C4C2311yescharacteristic
488C4×C22⋊C4—21no—
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492C4×C22⋊C4C2311yescharacteristic
493C43C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25—21no—
515C25—21no—
516C2×#41—22no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C22×Q8—21no—
529C22×Q8C2×D411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×Q8C2411yescharacteristic
533C22×D4—22no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4C2×D411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576AGL(1,ℤ/8)—416no—
577AGL(1,ℤ/8)—416no—
578C2×Q16—22no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×M16—22no—
639C2×M16—22no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—41no—
643C2×M16—41no—
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C4⋊Q8—41no—
653C4⋊Q8—41no—
654C4⋊Q8—41no—
655C4⋊Q8—41no—
656#127—22no—
657#127—41no—
658#127—41no—
659#127—41no—
660#127—41no—
661#127—41no—
662#127—41no—
663#127—41no—
664#125—41no—
665#125—41no—
666#124—22no—
667#124—41no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—41no—
672#124—41no—
673#124—41no—
674#124—41no—
675#124—41no—
676#124—41no—
677#124—41no—
678#124—41no—
679#124—41no—
680#124—42no—
681#124—44no—
682#124—82no—
683#124—82no—
684#124—82no—
685#124—82no—
686#123—44no—
687#123—44no—
688#123—44no—
689C22⋊Q8—22no—
690C22⋊Q8—41no—
691C22⋊Q8—41no—
692C22⋊Q8—41no—
693C22⋊Q8—41no—
694C22⋊Q8—41no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697#121—22no—
698#121—41no—
699#121—44no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—82no—
711#120—44no—
712#120—44no—
713#120—44no—
714#120—82no—
715#120—82no—
716#120—82no—
717C4×Q8—22no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×Q8—41no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—44no—
728#117—82no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—44no—
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42C2×D411yescharacteristic
822C2×C42C2×D411yescharacteristic
823C2×C42C2×D411yescharacteristic
824C2×C42C2×D411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830#107—41no—
831#106—41no—
832#106—41no—
833#106—41no—
834C4⋊C8—41no—
835C4⋊C8—41no—
836#103—22no—
837#103—22no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—41no—
843#103—41no—
844#103—41no—
845#103—41no—
846#103—41no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868C22⋊C8—22no—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—41no—
873C22⋊C8—41no—
874#97—22no—
875#97—22no—
876#97—22no—
877#97—22no—
878C4×C8—41no—
879C4×C8—41no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—42no—
912C24—42no—
913C24—42no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24C22×D411yescharacteristic
926C24C22×D411yescharacteristic
927#41—44no—
928#41—44no—
929#41—82no—
930#41—82no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935C2×Q8—22no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—41no—
955C2×Q8—41no—
956C2×Q8—42no—
957C2×Q8—81no—
958C2×Q8—81no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—82no—
1034C2×D4—82no—
1035C2×D4—82no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4H(5,𝔽2)12yes—
1060C22×C4—21no—
1061C22×C4—24no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—81no—
1086C22×C4—81no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4C22×D411yescharacteristic
1095C22×C4C22×D411yescharacteristic
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C2511yescharacteristic
1107Q16—82no—
1108Q16—82no—
1109SD16—44no—
1110SD16—44no—
1111SD16—44no—
1112SD16—44no—
1113SD16—82no—
1114SD16—82no—
1115SD16—82no—
1116SD16—82no—
1117SD16—82no—
1118D8—44no—
1119D8—44no—
1120D8—44no—
1121D8—44no—
1122D8—82no—
1123D8—82no—
1124D8—82no—
1125D8—82no—
1126D8—82no—
1127M16—44no—
1128M16—44no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8H(5,𝔽2)12yes—
1150C2×C8H(5,𝔽2)12yes—
1151C2×C8H(5,𝔽2)12yes—
1152C2×C8H(5,𝔽2)12yes—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C4⋊C4—81no—
1178C4⋊C4—81no—
1179C4⋊C4—81no—
1180C4⋊C4—81no—
1181C4⋊C4—81no—
1182C4⋊C4H(5,𝔽2)12yes—
1183C22⋊C4—24no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
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⋊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⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—42no—
1262C42—81no—
1263C42—81no—
1264C42—81no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—22no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23C23×D411yescharacteristic
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—82no—
1349Q8—162no—
1350D4—22no—
1351D4—22no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—84no—
1375D4—82no—
1376D4—84no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385D4—162no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—162no—
1470C2×C4#57512yes—
1471C2×C4C2×H(5,𝔽2)11yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C8—22no—
1478C8—22no—
1479C8—22no—
1480C8—22no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—41no—
1486C22—41no—
1487C22—42no—
1488C22—41no—
1489C22—41no—
1490C22—42no—
1491C22—42no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—168no—
1542C22—168no—
1543C22#348411yescharacteristic
1544C22#349811yescharacteristic
1545C22#349811yescharacteristic
1546C22C2×#57511yescharacteristic
1547C22#358511yescharacteristic
1548C22#358511yescharacteristic
1549C22#358511yescharacteristic
1550C4—22no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—81no—
1564C4—81no—
1565C4—81no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4#353211yescharacteristic
1573C4#353211yescharacteristic
1574C4#354911yescharacteristic
1575C4#354911yescharacteristic
1576C2—81no—
1577C2—81no—
1578C2—82no—
1579C2—161no—
1580C2—161no—
1581C2—161no—
1582C2—161no—
1583C2—161no—
1584C2#5190211yescharacteristic
1585C2#6157911yescharacteristic
1586C2#6166911yescharacteristic
1587C2#6244111yescharacteristic
1588C2#6244311yescharacteristic
1589C2#6245511yescharacteristic
1590C2#6245511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#124 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #46054C2semidirect
2. #39953C2semidirect
3. #32674C2semidirect
4. #32671C2semidirect
5. #30548C2semidirect
6. #30539C2semidirect
7. #30536C2semidirect
8. #30535C2semidirect
9. #30512C2semidirect
10. #30511C2semidirect
11. #30474C2semidirect
12. #30472C2semidirect
13. #30468C2semidirect
14. #30463C2semidirect
15. #30268C2semidirect
16. #30266C2semidirect
17. #29562C2semidirect
18. #29558C2semidirect
19. #28918C2semidirect
20. #28917C2semidirect
21. #28916C2semidirect
22. #28913C2semidirect
23. #25796C2semidirect
24. #25794C2semidirect
25. #25794C2semidirect
26. #25793C2semidirect
27. #25635C2semidirect
28. #25633C2semidirect
29. #23863C2semidirect
30. #23861C2semidirect
31. #23271C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#559C22semidirect
36. C2×#497C22semidirect
39. C2×#496C22semidirect
42. C2×#491C22semidirect
43. C2×#490C22semidirect
44. C2×#489C22semidirect
45. C2×#489C22semidirect
46. C2×#470C22semidirect
48. C2×#469C22semidirect
50. C2×#460C22semidirect
51. C2×#463C22semidirect
53. C2×#452C22semidirect
54. C2×#452C22semidirect
56. C2×#449C22semidirect
57. C2×#450C22semidirect
61. C2×#447C22semidirect
62. #2861C22semidirect
63. #2858C22semidirect
64. #2858C22semidirect
77. #2592C22semidirect
78. #2592C22semidirect
79. #2548C22semidirect
81. #2492C22semidirect
84. #2490C22semidirect
85. #2435C22semidirect
86. #2435C22semidirect
87. #2433C22semidirect
88. #2433C22semidirect
93. #2429C22semidirect
95. #2427C22semidirect
104. #2293C22semidirect
105. #2059C22semidirect
106. #2058C22semidirect
107. #2056C22semidirect
108. #2055C22semidirect
111. #2042C22semidirect
112. #2041C22semidirect
113. #2035C22semidirect
114. #2035C22semidirect
115. #2034C22semidirect
116. #2033C22semidirect
117. #2025C22semidirect
118. #2023C22semidirect
119. #2015C22semidirect
120. #2015C22semidirect
121. #2015C22semidirect
122. #2015C22semidirect
123. #2015C22semidirect
124. #2014C22semidirect
125. #2014C22semidirect
126. #2013C22semidirect
127. #2013C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
144. #2011C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1984C22semidirect
154. #1984C22semidirect
155. #1983C22semidirect
156. #1982C22semidirect
157. #1973C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1968C22semidirect
165. #1936C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1935C22semidirect
169. #1928C22semidirect
170. #1927C22semidirect
171. #1927C22semidirect
172. #1926C22semidirect
173. #1926C22semidirect
174. #1926C22semidirect
175. #1926C22semidirect
176. #1925C22semidirect
177. #1924C22semidirect
178. #1924C22semidirect
179. #1924C22semidirect
180. #1924C22semidirect
182. #1894C22semidirect
183. #1880C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1878C22semidirect
190. #1877C22semidirect
194. #1786C22semidirect
195. C4×#103C22semidirect
196. C4×#102C22semidirect
197. #1753C22semidirect
198. #1753C22semidirect
199. #1753C22semidirect
200. #1753C22semidirect
201. #1745C22semidirect
202. #1745C22semidirect

Maximal subgroups

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

subgroupindex
#460542
#399532
#326742
#326712
#305482
#305392
#305362
#305352
#305122
#305112
#304742
#304722
#304682
#304632
#302682
#302662
#295622
#295582
#289182
#289172
#289162
#289132
#257962
#257942
#257932
#256352
#256332
#238632
#238612
#232712