Finite Group Databasebeta

← #6668597

Subgroups — #6668597

Order 512.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3216C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#37781C211yesmaximal, characteristic, complemented
4#35513C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31013C211yesmaximal, characteristic, complemented
7#30988C211yesmaximal, characteristic, complemented
8#30544C211yesmaximal, characteristic, complemented
9#30535C211yesmaximal, characteristic, complemented
10#30474C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30464C211yesmaximal, characteristic, complemented
13#30451C211yesmaximal, characteristic, complemented
14#29729C211yesmaximal, characteristic, complemented
15#29628C211yesmaximal, characteristic, complemented
16#27282C211yesmaximal, characteristic, complemented
17#27262C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25787C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25098C211yesmaximal, characteristic, complemented
22#25080C211yesmaximal, characteristic, complemented
23#24506C211yesmaximal, characteristic, complemented
24#24395C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24363C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23933C211yesmaximal, characteristic, complemented
29#23929C211yesmaximal, characteristic, complemented
30#22557C211yesmaximal, characteristic, complemented
31#22059C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic, complemented
39C2×#532C2211yescharacteristic
40#3216—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#497C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#489C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#462C2211yescharacteristic, complemented
51C2×#462C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55#3012—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic
61C2×#452C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic
71C2×#450C2211yescharacteristic
72C2×#450C2211yescharacteristic
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#432C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic
77C22×#102C2211yescharacteristic
78C2×#408C2211yescharacteristic
79#2854C2211yescharacteristic, complemented
80#2711—21no—
81#2704—21no—
82#2681—21no—
83#2672—21no—
84#2620C2211yescharacteristic, complemented
85#2616C2211yescharacteristic
86#2491C2211yescharacteristic, complemented
87#2476—21no—
88#2476—21no—
89#2465—21no—
90#2440C2211yescharacteristic, complemented
91#2435C2211yescharacteristic
92#2435C2211yescharacteristic
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2432C2211yescharacteristic
96#2432C2211yescharacteristic
97#2432C2211yescharacteristic, complemented
98#2431C2211yescharacteristic
99#2431C2211yescharacteristic
100#2429C2211yescharacteristic, complemented
101#2426—21no—
102#2426C2211yescharacteristic, complemented
103#2423C2211yescharacteristic, complemented
104#2410—21no—
105#2410—21no—
106#2410—21no—
107#2410—21no—
108#2408—21no—
109#2408—21no—
110#2407—21no—
111#2407—21no—
112#2360C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2311C2211yescharacteristic
116#2297C2211yescharacteristic
117C2×#390C2211yescharacteristic
118#2072C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2043C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1971C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1936C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1780C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—42no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×#135—24no—
228C2×#135—42no—
229C2×#135—42no—
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#537—24no—
251#537—42no—
252#537—42no—
253#537—42no—
254#535—42no—
255#535—42no—
256#533—24no—
257#533—42no—
258#532—24no—
259#532—42no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#125—21no—
267C2×#124—21no—
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8—21no—
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×C4×Q8—21no—
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×#117—21no—
312C2×#117C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C42C2311yescharacteristic
318#497—24no—
319#497—24no—
320#496—42no—
321#495—42no—
322#489—24no—
323#489—24no—
324#470—42no—
325#465—42no—
326#464—42no—
327#462—24no—
328#462—24no—
329#460—24no—
330#460—24no—
331#460—42no—
332#452—24no—
333#452—24no—
334#452—24no—
335#452—24no—
336#452—42no—
337#452—42no—
338#452—42no—
339#452D418yescomplemented
340#450—24no—
341#450—24no—
342#450—42no—
343#450—42no—
344#450—42no—
345#449—24no—
346#449—24no—
347#449—42no—
348#449—42no—
349#447—24no—
350#447—24no—
351#432—24no—
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358#417—24no—
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#102—24no—
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
396#408—24no—
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#399—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#395—21no—
420#395—21no—
421#394—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#394—21no—
437#394—21no—
438#393—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#391D411yescharacteristic
448#391D411yescharacteristic
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390D411yescharacteristic
459#390D411yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389—21no—
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#387—21no—
484#387—21no—
485#387—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386D411yescharacteristic
494#386D411yescharacteristic
495#386D411yescharacteristic
496#386D411yescharacteristic
497#385—21no—
498#385—21no—
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#384C2311yescharacteristic
506#380—21no—
507#380—21no—
508#380—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542H(5,𝔽2)—416no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—44no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—44no—
583C2×#41—44no—
584C2×#41C2×D414yes—
585C22×Q8—21no—
586C22×Q8C2×D411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—22no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656AGL(1,ℤ/8)—416no—
657#135—416no—
658C2×Q16—22no—
659C2×Q16—22no—
660C2×Q16—22no—
661C2×Q16—41no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16C2×D414yes—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16C2×D414yes—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—41no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—41no—
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C4⋊Q8—22no—
727C4⋊Q8—22no—
728C4⋊Q8—22no—
729C4⋊Q8—41no—
730C4⋊Q8—41no—
731C4⋊Q8—41no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—41no—
736#127—41no—
737#127—41no—
738#125—44no—
739#124—22no—
740#124—22no—
741#124—22no—
742#124—22no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—82no—
750#123—82no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—44no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—44no—
764C22⋊Q8—44no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—82no—
768C22⋊Q8C2×D414yes—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—44no—
775#121—44no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#120—44no—
788#120—44no—
789#120—82no—
790#120—82no—
791#120—82no—
792#120—82no—
793C4×Q8—22no—
794C4×Q8—22no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×Q8—44no—
798C4×Q8—41no—
799C4×Q8—41no—
800C4×D4—44no—
801C4×D4—44no—
802#117—41no—
803#117—41no—
804#117—44no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—22no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—41no—
829C2×C4⋊C4—41no—
830C2×C4⋊C4—41no—
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—82no—
883C2×C22⋊C4—82no—
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C42—22no—
895C2×C42—22no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42C2×D411yescharacteristic
901C2×C42C2×D411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906#106—41no—
907#106—41no—
908C4⋊C8—22no—
909C4⋊C8—22no—
910C4⋊C8—41no—
911C4⋊C8—41no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103C2×D414yes—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
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—
945#102—41no—
946#102—41no—
947#102C2×D414yes—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—41no—
956C22⋊C8—41no—
957C22⋊C8C2×D414yes—
958#97—22no—
959#97—22no—
960#97—41no—
961C4×C8—41no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985C24—24no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24C22×D411yescharacteristic
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014#41—28no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—432no—
1032#41—44no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039C2×Q8—22no—
1040C2×Q8—22no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—41no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—81no—
1067C2×Q8C22×D412yes—
1068C2×Q8C22×D412yes—
1069C2×D4—28no—
1070C2×D4—24no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—432no—
1141C2×D4—432no—
1142C2×D4—432no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4C22×D412yes—
1175C2×D4H(5,𝔽2)12yes—
1176C2×D4H(5,𝔽2)12yes—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—22no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D412yes—
1240C22×C4C22×D411yescharacteristic
1241C22×C4H(5,𝔽2)12yes—
1242C22×C4H(5,𝔽2)12yes—
1243C22×C4H(5,𝔽2)12yes—
1244C22×C4C2511yescharacteristic
1245Q16—44no—
1246Q16—82no—
1247Q16—82no—
1248Q16—82no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257SD16—82no—
1258SD16—82no—
1259D8—44no—
1260D8—44no—
1261D8—44no—
1262D8—82no—
1263M16—44no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—44no—
1287C2×C8C22×D412yes—
1288C2×C8C22×D412yes—
1289C4⋊C4—24no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4—81no—
1325C4⋊C4—81no—
1326C4⋊C4C22×D412yes—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
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—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—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—
1379C42—22no—
1380C42—22no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—42no—
1390C42—42no—
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—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—48no—
1416C23—48no—
1417C23—48no—
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—84no—
1451C23—84no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23#53512yes—
1469C23D4212yes—
1470C23C23×D411yescharacteristic
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—44no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—84no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4—48no—
1499D4—44no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
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—41no—
1517D4—41no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
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—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—82no—
1612C2×C4—162no—
1613C2×C4—162no—
1614C2×C4#53512yes—
1615C2×C4D4212yes—
1616C2×C4#57712yes—
1617C2×C4C23×D411yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4C2×H(5,𝔽2)11yescharacteristic
1623C8—22no—
1624C8—22no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8—41no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
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—168no—
1688C22—168no—
1689C22—168no—
1690C22C2×#53511yescharacteristic
1691C22C2×D4211yescharacteristic
1692C22#348411yescharacteristic
1693C22C2×#57711yescharacteristic
1694C22#358511yescharacteristic
1695C22#358511yescharacteristic
1696C22#358611yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4#348411yescharacteristic
1720C4#348411yescharacteristic
1721C4#353211yescharacteristic
1722C4#353211yescharacteristic
1723C2—42no—
1724C2—42no—
1725C2—81no—
1726C2—82no—
1727C2—82no—
1728C2—82no—
1729C2—161no—
1730C2—161no—
1731C2#3764511yescharacteristic
1732C2#6082911yescharacteristic
1733C2#6083311yescharacteristic
1734C2#6106311yescharacteristic
1735C2#6107511yescharacteristic
1736C2#6167011yescharacteristic
1737C2#6168511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3216C2semidirect
2. C2×#3012C2semidirect
3. #37781C2semidirect
4. #35513C2semidirect
5. #32886C2semidirect
6. #31013C2semidirect
7. #30988C2semidirect
8. #30544C2semidirect
9. #30535C2semidirect
10. #30474C2semidirect
11. #30472C2semidirect
12. #30464C2semidirect
13. #30451C2semidirect
14. #29729C2semidirect
15. #29628C2semidirect
16. #27282C2semidirect
17. #27262C2semidirect
18. #25796C2semidirect
19. #25787C2semidirect
20. #25736C2semidirect
21. #25098C2semidirect
22. #25080C2semidirect
23. #24506C2semidirect
24. #24395C2semidirect
25. #24370C2semidirect
26. #24363C2semidirect
27. #24220C2semidirect
28. #23933C2semidirect
29. #23929C2semidirect
30. #22557C2semidirect
31. #22059C2semidirect
38. C2×#533C22semidirect
41. C2×#497C22semidirect
42. C2×#497C22semidirect
43. C2×#496C22semidirect
44. C2×#495C22semidirect
45. C2×#489C22semidirect
46. C2×#489C22semidirect
47. C2×#470C22semidirect
48. C2×#465C22semidirect
49. C2×#464C22semidirect
50. C2×#462C22semidirect
51. C2×#462C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
61. C2×#452C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
75. C2×#432C22semidirect
79. #2854C22semidirect
84. #2620C22semidirect
86. #2491C22semidirect
90. #2440C22semidirect
97. #2432C22semidirect
100. #2429C22semidirect
102. #2426C22semidirect
103. #2423C22semidirect
112. #2360C22semidirect
113. #2341C22semidirect
114. #2323C22semidirect
118. #2072C22semidirect
119. #2071C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2056C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2043C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2023C22semidirect
137. #2023C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2014C22semidirect
142. #2014C22semidirect
143. #2013C22semidirect
144. #2013C22semidirect
145. #2013C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1972C22semidirect
161. #1972C22semidirect
162. #1971C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1936C22semidirect
169. #1933C22semidirect
170. #1927C22semidirect
171. #1926C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1892C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1878C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1872C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1853C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1817C22semidirect
193. #1798C22semidirect
197. #1788C22semidirect
202. #1753C22semidirect
203. #1752C22semidirect
204. #1750C22semidirect
339. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32162
C2×#30122
#377812
#355132
#328862
#310132
#309882
#305442
#305352
#304742
#304722
#304642
#304512
#297292
#296282
#272822
#272622
#257962
#257872
#257362
#250982
#250802
#245062
#243952
#243702
#243632
#242202
#239332
#239292
#225572
#220592