Finite Group Databasebeta

← #6668558

Subgroups — #6668558

Order 512.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3211C211yesmaximal, characteristic, complemented
2C2×#3008C211yesmaximal, characteristic
3#37786C211yesmaximal, characteristic, complemented
4#35616C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31008C211yesmaximal, characteristic, complemented
7#30987C211yesmaximal, characteristic, complemented
8#30533C211yesmaximal, characteristic, complemented
9#30523C211yesmaximal, characteristic, complemented
10#30466C211yesmaximal, characteristic, complemented
11#30455C211yesmaximal, characteristic, complemented
12#30452C211yesmaximal, characteristic, complemented
13#30448C211yesmaximal, characteristic, complemented
14#29727C211yesmaximal, characteristic, complemented
15#29623C211yesmaximal, characteristic, complemented
16#27271C211yesmaximal, characteristic, complemented
17#27255C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25781C211yesmaximal, characteristic, complemented
20#25737C211yesmaximal, characteristic, complemented
21#25105C211yesmaximal, characteristic, complemented
22#25089C211yesmaximal, characteristic, complemented
23#24504C211yesmaximal, characteristic, complemented
24#24392C211yesmaximal, characteristic, complemented
25#24367C211yesmaximal, characteristic, complemented
26#24355C211yesmaximal, characteristic, complemented
27#24219C211yesmaximal, characteristic, complemented
28#23938C211yesmaximal, characteristic, complemented
29#23926C211yesmaximal, characteristic, complemented
30#22556C211yesmaximal, characteristic, complemented
31#22056C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C23×D8C2211yescharacteristic
35C2×#536C2211yescharacteristic
36C2×#536C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38C2×#529C2211yescharacteristic, complemented
39C22×#124C2211yescharacteristic, complemented
40#3211—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#495C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#488C2211yescharacteristic, complemented
46C2×#488C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#467C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#464C2211yescharacteristic, complemented
51C2×#463C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#461C2211yescharacteristic, complemented
55#3008—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#431C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic
77C2×#416C2211yescharacteristic
78C2×#408C2211yescharacteristic
79#2854C2211yescharacteristic, complemented
80#2715—21no—
81#2709—21no—
82#2697—21no—
83#2685—21no—
84#2620C2211yescharacteristic, complemented
85#2616C2211yescharacteristic
86#2490C2211yescharacteristic, complemented
87#2474—21no—
88#2445—21no—
89#2441C2211yescharacteristic, complemented
90#2435—21no—
91#2435—21no—
92#2435C2211yescharacteristic
93#2435C2211yescharacteristic
94#2435C2211yescharacteristic, complemented
95#2435C2211yescharacteristic, complemented
96#2435C2211yescharacteristic, complemented
97#2432—21no—
98#2432—21no—
99#2432C2211yescharacteristic
100#2432C2211yescharacteristic
101#2432C2211yescharacteristic, complemented
102#2432C2211yescharacteristic, complemented
103#2427C2211yescharacteristic, complemented
104#2426C2211yescharacteristic, complemented
105#2422C2211yescharacteristic, complemented
106#2418—21no—
107#2411—21no—
108#2405—21no—
109#2405—21no—
110#2405—21no—
111#2405—21no—
112#2362C2211yescharacteristic, complemented
113D4×C22⋊C4C2211yescharacteristic, complemented
114#2324C2211yescharacteristic, complemented
115#2309C2211yescharacteristic, complemented
116#2297C2211yescharacteristic
117#2297C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, 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#2042C2211yescharacteristic, complemented
133#2042C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1981C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1956C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1934C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1780C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, 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
216C23×Q8C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8—24no—
240C22×D8—42no—
241C22×D8—42no—
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#536—42no—
251#536—42no—
252#536—42no—
253#536—42no—
254#535—24no—
255#535—42no—
256C2×C4⋊Q8—21no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×C4⋊Q8C2311yescharacteristic
259C2×#127—21no—
260#529—24no—
261#529—42no—
262C2×#126—21no—
263C2×#125C2311yescharacteristic
264C2×#124—21no—
265C2×#124—21no—
266C2×#124—24no—
267C2×#124—21no—
268C2×#124—21no—
269C2×#124—42no—
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#120—21no—
299C2×#120—21no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×#117—21no—
305C2×#117C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C22×C22⋊C4—21no—
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C42C2311yescharacteristic
312#497—42no—
313#495—24no—
314#495—24no—
315#495—42no—
316#488—24no—
317#488—24no—
318#470—42no—
319#467—42no—
320#464—24no—
321#464—24no—
322#463—24no—
323#463—24no—
324#463—42no—
325#461—42no—
326#452—42no—
327#452—42no—
328#452—42no—
329#451—24no—
330#450—24no—
331#450—42no—
332#450—42no—
333#450—42no—
334#450—42no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—24no—
339#448—24no—
340#448—42no—
341#447—24no—
342#447—24no—
343#447—24no—
344#447D418yes—
345#431—24no—
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352#418—24no—
353#416—24no—
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390#408—24no—
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403C2×C4×C8C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405#399—21no—
406#397—21no—
407#397—21no—
408#397—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#395—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—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#394—21no—
439#394—21no—
440#394—21no—
441#391D411yescharacteristic
442#391D411yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390D411yescharacteristic
452#390D411yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#389—21no—
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#387—21no—
475#387—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386D411yescharacteristic
484#386D411yescharacteristic
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#384C2311yescharacteristic
498#380—21no—
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#379—21no—
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515C4×C4⋊C4—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—
542C25—21no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546H(5,𝔽2)—416no—
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—41no—
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—44no—
572C2×#41—44no—
573C2×#41—44no—
574C22×Q8—21no—
575C22×Q8—22no—
576C22×Q8—22no—
577C22×Q8—41no—
578C22×Q8—41no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×Q8C2411yescharacteristic
585C22×Q8C2411yescharacteristic
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—44no—
625C22×D4—44no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D414yes—
633C22×D4C2411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4C2×D411yescharacteristic
645C23×C4C2×D411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649AGL(1,ℤ/8)—416no—
650C2×Q16—22no—
651C2×Q16—22no—
652C2×Q16—22no—
653C2×Q16—41no—
654C2×Q16—41no—
655C2×Q16—41no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×Q16—41no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—416no—
703C2×D8C2×D414yes—
704C2×D8C2×D414yes—
705C2×M16—22no—
706C2×M16—22no—
707C2×M16—41no—
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—41no—
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C4⋊Q8—22no—
720C4⋊Q8—22no—
721C4⋊Q8—41no—
722C4⋊Q8—41no—
723C4⋊Q8—44no—
724#127—44no—
725#126—44no—
726#125—22no—
727#125—41no—
728#124—22no—
729#124—22no—
730#124—22no—
731#124—22no—
732#124—22no—
733#124—22no—
734#124—22no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124—41no—
742#124—44no—
743#124—44no—
744#124—41no—
745#124—41no—
746#124—44no—
747#124—44no—
748#123—44no—
749#123—44no—
750#123—44no—
751#123—44no—
752#123—44no—
753#123—82no—
754#123—82no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—44no—
768C22⋊Q8—44no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—41no—
777#121—41no—
778#121C2×D414yes—
779#120—44no—
780#120—44no—
781C4×Q8—22no—
782C4×Q8—41no—
783C4×D4—22no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—44no—
788#117—22no—
789#117—41no—
790#117—41no—
791#117—44no—
792#117—41no—
793#117—41no—
794#117—41no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
815C2×C4⋊C4C2×D411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2411yescharacteristic
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
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—44no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—82no—
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
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×C42—22no—
891C2×C42—22no—
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42C2×D411yescharacteristic
897C2×C42C2×D411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902#107—41no—
903#106—41no—
904C4⋊C8—22no—
905C4⋊C8—22no—
906C4⋊C8—41no—
907C4⋊C8—41no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—41no—
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#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102C2×D414yes—
943#102C2×D414yes—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8C2×D414yes—
954#97—41no—
955C4×C8—22no—
956C4×C8—22no—
957C4×C8—41no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—24no—
984C24—21no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015#41—28no—
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—432no—
1031#41—44no—
1032C2×Q8—22no—
1033C2×Q8—22no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
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—41no—
1058C2×Q8—42no—
1059C2×Q8—42no—
1060C2×Q8—42no—
1061C2×Q8—82no—
1062C2×Q8—82no—
1063C2×Q8—82no—
1064C2×Q8—82no—
1065C2×Q8H(5,𝔽2)12yes—
1066C2×D4—28no—
1067C2×D4—24no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—24no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—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—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—432no—
1133C2×D4—432no—
1134C2×D4—432no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4C22×D412yes—
1154C2×D4C22×D412yes—
1155C2×D4C22×D412yes—
1156C2×D4H(5,𝔽2)12yes—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—22no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
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—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
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—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D412yes—
1218C22×C4H(5,𝔽2)12yes—
1219C22×C4H(5,𝔽2)12yes—
1220C22×C4H(5,𝔽2)12yes—
1221C22×C4C2511yescharacteristic
1222Q16—82no—
1223Q16—82no—
1224Q16—82no—
1225SD16—44no—
1226SD16—44no—
1227SD16—82no—
1228SD16—82no—
1229SD16—82no—
1230SD16—82no—
1231SD16—82no—
1232SD16—82no—
1233SD16—82no—
1234D8—44no—
1235D8—44no—
1236D8—44no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240M16—44no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—44no—
1264C2×C8C22×D412yes—
1265C2×C8C22×D412yes—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—81no—
1296C4⋊C4—81no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4C22×D412yes—
1301C22⋊C4—24no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
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—42no—
1338C22⋊C4—42no—
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—
1365C42—22no—
1366C42—22no—
1367C42—21no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—81no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—48no—
1403C23—48no—
1404C23—48no—
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—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23#53512yes—
1462C23D4212yes—
1463C23C23×D411yescharacteristic
1464Q8—22no—
1465Q8—22no—
1466Q8—44no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—84no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—44no—
1491D4—44no—
1492D4—48no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
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—84no—
1512D4—84no—
1513D4—162no—
1514D4—162no—
1515D4—162no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—162no—
1600C2×C4#53512yes—
1601C2×C4D4212yes—
1602C2×C4C23×D411yescharacteristic
1603C2×C4C2×H(5,𝔽2)11yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4C2×H(5,𝔽2)11yescharacteristic
1606C2×C4C2×H(5,𝔽2)11yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C8—22no—
1609C8—22no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
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—168no—
1673C22—168no—
1674C22—168no—
1675C22—168no—
1676C22C2×#53511yescharacteristic
1677C22C2×D4211yescharacteristic
1678C22#348411yescharacteristic
1679C22#358411yescharacteristic
1680C22#358411yescharacteristic
1681C22#358411yescharacteristic
1682C22#358511yescharacteristic
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—81no—
1697C4—81no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4#348411yescharacteristic
1706C4#348411yescharacteristic
1707C4#353211yescharacteristic
1708C4#353211yescharacteristic
1709C2—42no—
1710C2—42no—
1711C2—81no—
1712C2—82no—
1713C2—82no—
1714C2—82no—
1715C2—82no—
1716C2—161no—
1717C2#3764511yescharacteristic
1718C2#6081911yescharacteristic
1719C2#6083411yescharacteristic
1720C2#6105111yescharacteristic
1721C2#6107411yescharacteristic
1722C2#6166311yescharacteristic
1723C2#6169011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3008C2
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×#3211C2semidirect
3. #37786C2semidirect
4. #35616C2semidirect
5. #32886C2semidirect
6. #31008C2semidirect
7. #30987C2semidirect
8. #30533C2semidirect
9. #30523C2semidirect
10. #30466C2semidirect
11. #30455C2semidirect
12. #30452C2semidirect
13. #30448C2semidirect
14. #29727C2semidirect
15. #29623C2semidirect
16. #27271C2semidirect
17. #27255C2semidirect
18. #25796C2semidirect
19. #25781C2semidirect
20. #25737C2semidirect
21. #25105C2semidirect
22. #25089C2semidirect
23. #24504C2semidirect
24. #24392C2semidirect
25. #24367C2semidirect
26. #24355C2semidirect
27. #24219C2semidirect
28. #23938C2semidirect
29. #23926C2semidirect
30. #22556C2semidirect
31. #22056C2semidirect
36. C2×#536C22semidirect
38. C2×#529C22semidirect
39. C22×#124C22semidirect
41. C2×#497C22semidirect
42. C2×#495C22semidirect
43. C2×#495C22semidirect
44. C2×#495C22semidirect
45. C2×#488C22semidirect
46. C2×#488C22semidirect
47. C2×#470C22semidirect
48. C2×#467C22semidirect
49. C2×#464C22semidirect
50. C2×#464C22semidirect
51. C2×#463C22semidirect
52. C2×#463C22semidirect
53. C2×#463C22semidirect
54. C2×#461C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
63. C2×#451C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
75. C2×#431C22semidirect
79. #2854C22semidirect
84. #2620C22semidirect
86. #2490C22semidirect
89. #2441C22semidirect
94. #2435C22semidirect
95. #2435C22semidirect
96. #2435C22semidirect
101. #2432C22semidirect
102. #2432C22semidirect
103. #2427C22semidirect
104. #2426C22semidirect
105. #2422C22semidirect
112. #2362C22semidirect
113. D4×C22⋊C4C22semidirect
114. #2324C22semidirect
115. #2309C22semidirect
117. #2297C22semidirect
118. #2071C22semidirect
119. #2071C22semidirect
120. #2068C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2043C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
132. #2042C22semidirect
133. #2042C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2016C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2013C22semidirect
142. #2013C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #1983C22semidirect
159. #1981C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1970C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1956C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1934C22semidirect
169. #1933C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1894C22semidirect
177. #1892C22semidirect
178. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1873C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1817C22semidirect
193. #1798C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1750C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32112
C2×#30082
#377862
#356162
#328862
#310082
#309872
#305332
#305232
#304662
#304552
#304522
#304482
#297272
#296232
#272712
#272552
#257962
#257812
#257372
#251052
#250892
#245042
#243922
#243672
#243552
#242192
#239382
#239262
#225562
#220562