Finite Group Databasebeta

← #6668571

Subgroups — #6668571

Order 512.

2979 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3208C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#37781C211yesmaximal, characteristic, complemented
4#35527C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31015C211yesmaximal, characteristic, complemented
7#30988C211yesmaximal, characteristic, complemented
8#30529C211yesmaximal, characteristic, complemented
9#30519C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30459C211yesmaximal, characteristic, complemented
12#30458C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#29727C211yesmaximal, characteristic, complemented
15#29622C211yesmaximal, characteristic, complemented
16#27270C211yesmaximal, characteristic, complemented
17#27254C211yesmaximal, characteristic, complemented
18#25791C211yesmaximal, characteristic, complemented
19#25775C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25096C211yesmaximal, characteristic, complemented
22#25080C211yesmaximal, characteristic, complemented
23#24504C211yesmaximal, characteristic, complemented
24#24394C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24362C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23935C211yesmaximal, characteristic, complemented
29#23924C211yesmaximal, characteristic, complemented
30#22556C211yesmaximal, characteristic, complemented
31#22052C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic, complemented
39C22×#127C2211yescharacteristic
40#3208—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#492C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#486C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#460C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55#3012—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#431C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
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#2433—21no—
92#2433—21no—
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic
97#2432C2211yescharacteristic, complemented
98#2431—21no—
99#2431—21no—
100#2431C2211yescharacteristic
101#2431C2211yescharacteristic
102#2431C2211yescharacteristic
103#2431C2211yescharacteristic
104#2429C2211yescharacteristic, complemented
105#2426—21no—
106#2426C2211yescharacteristic, complemented
107#2423C2211yescharacteristic, complemented
108#2403—21no—
109#2403—21no—
110#2403—21no—
111#2403—21no—
112#2360C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2309C2211yescharacteristic
116#2297C2211yescharacteristic
117#2297C2211yescharacteristic
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#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, 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#1895C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, 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#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
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
216C22×#41C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×#135—24no—
230C2×#135—42no—
231C2×#135—42no—
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×SD16C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#537—24no—
253#537—42no—
254#535—42no—
255#535—42no—
256#535—42no—
257#535—42no—
258#533—24no—
259#533—42no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×C4⋊Q8C2311yescharacteristic
262C2×#127—24no—
263C2×#127—21no—
264C2×#127—21no—
265C2×#127—21no—
266C2×#127—42no—
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#125—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#123—21no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
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×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×C4×Q8—21no—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×#117—21no—
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C42C2311yescharacteristic
320#496—42no—
321#495—42no—
322#492—24no—
323#492—24no—
324#486—24no—
325#486—24no—
326#468—42no—
327#465—42no—
328#464—42no—
329#460—24no—
330#460—24no—
331#460—24no—
332#460—24no—
333#460—42no—
334#452—24no—
335#452—24no—
336#452—42no—
337#452—42no—
338#452—42no—
339#450—24no—
340#450—24no—
341#450—24no—
342#450—24no—
343#450—42no—
344#450—42no—
345#450D418yescomplemented
346#449—24no—
347#449—24no—
348#449—42no—
349#449—42no—
350#447—24no—
351#447—24no—
352#447—42no—
353#431—24no—
354C2×#107C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360#417—24no—
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102—24no—
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398#408—24no—
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×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413#399—21no—
414#398—21no—
415#398—21no—
416#398—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#395—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#393—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—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#392—21no—
448#392—21no—
449#391D411yescharacteristic
450#391D411yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390D411yescharacteristic
461#390D411yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389—21no—
472#389—21no—
473#389—21no—
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#387—21no—
486#387—21no—
487#387—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386D411yescharacteristic
500#386D411yescharacteristic
501#386D411yescharacteristic
502#386D411yescharacteristic
503#385—21no—
504#385—21no—
505#385—21no—
506#385—21no—
507#384C2311yescharacteristic
508#380—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514C4×C4⋊C4C2311yescharacteristic
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
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—22no—
562C2×#41—22no—
563C2×#41—22no—
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—44no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—44no—
579C2×#41—44no—
580C22×Q8—21no—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×Q8C2411yescharacteristic
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—21no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
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—22no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4—82no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4C2×D411yescharacteristic
650C22×D4C2×D411yescharacteristic
651C22×D4C2×D411yescharacteristic
652C22×D4C2×D414yes—
653C22×D4C2411yescharacteristic
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C22×D4C2411yescharacteristic
657C22×D4C2411yescharacteristic
658C22×D4C2411yescharacteristic
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4C2×D411yescharacteristic
665C23×C4C2×D411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669AGL(1,ℤ/8)—416no—
670#135—416no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
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×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16C2×D414yes—
709C2×SD16C2×D414yes—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×M16—22no—
726C2×M16—22no—
727C2×M16—41no—
728C22×C8—22no—
729C22×C8—22no—
730C22×C8—41no—
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C4⋊Q8—22no—
740C4⋊Q8—22no—
741C4⋊Q8—41no—
742C4⋊Q8—41no—
743#127—22no—
744#127—22no—
745#127—22no—
746#127—22no—
747#127—22no—
748#127—22no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—41no—
753#127—41no—
754#127—41no—
755#127—44no—
756#127—44no—
757#127—44no—
758#125—44no—
759#124—22no—
760#124—22no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124—41no—
765#124—44no—
766#124—82no—
767#123—82no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—44no—
775C22⋊Q8—41no—
776C22⋊Q8—44no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—82no—
780C22⋊Q8C2×D414yes—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—44no—
789#121—44no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—44no—
796#121—44no—
797#121—44no—
798#120—44no—
799#120—44no—
800#120—44no—
801#120—44no—
802#120—82no—
803#120—82no—
804#120—82no—
805#120—82no—
806#120—82no—
807#120—82no—
808#120—82no—
809#120—82no—
810C4×Q8—22no—
811C4×Q8—22no—
812C4×Q8—41no—
813C4×Q8—41no—
814C4×Q8—44no—
815C4×Q8—41no—
816C4×Q8—41no—
817#117—41no—
818#117—41no—
819#117—44no—
820#117—41no—
821#117—41no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—22no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—41no—
841C2×C4⋊C4C2×D411yescharacteristic
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C42—22no—
900C2×C42—22no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42C2×D411yescharacteristic
907C2×C42C2×D411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912#107—41no—
913#106—41no—
914C4⋊C8—22no—
915C4⋊C8—22no—
916C4⋊C8—41no—
917C4⋊C8—41no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
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—22no—
937#102—22no—
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#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102C2×D414yes—
953#102C2×D414yes—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8C2×D414yes—
964#97—41no—
965C4×C8—22no—
966C4×C8—22no—
967C4×C8—41no—
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#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988#95C2×D411yescharacteristic
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991C24—21no—
992C24—21no—
993C24—21no—
994C24—24no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24C22×D411yescharacteristic
1026C24C22×D411yescharacteristic
1027C24C22×D411yescharacteristic
1028#41—28no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—44no—
1043#41—44no—
1044#41—44no—
1045#41—432no—
1046#41—44no—
1047#41—82no—
1048#41—82no—
1049C2×Q8—22no—
1050C2×Q8—22no—
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—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—41no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—81no—
1071C2×Q8C22×D412yes—
1072C2×Q8H(5,𝔽2)12yes—
1073C2×D4—28no—
1074C2×D4—24no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—24no—
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—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—42no—
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—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
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—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—432no—
1160C2×D4—432no—
1161C2×D4—432no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—816no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—816no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4C22×D412yes—
1215C2×D4C22×D412yes—
1216C2×D4H(5,𝔽2)12yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—22no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D412yes—
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4H(5,𝔽2)12yes—
1275C22×C4H(5,𝔽2)12yes—
1276C22×C4H(5,𝔽2)12yes—
1277C22×C4C2511yescharacteristic
1278Q16—44no—
1279Q16—82no—
1280SD16—44no—
1281SD16—44no—
1282SD16—44no—
1283SD16—44no—
1284SD16—82no—
1285SD16—82no—
1286SD16—82no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290SD16—82no—
1291D8—44no—
1292D8—44no—
1293D8—44no—
1294D8—82no—
1295D8—82no—
1296M16—44no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—44no—
1320C2×C8C22×D412yes—
1321C2×C8C22×D412yes—
1322C4⋊C4—24no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—81no—
1349C4⋊C4—81no—
1350C4⋊C4—81no—
1351C4⋊C4—81no—
1352C4⋊C4—81no—
1353C4⋊C4—81no—
1354C4⋊C4C22×D412yes—
1355C22⋊C4—24no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C42—22no—
1405C42—22no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—21no—
1413C42—21no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—81no—
1418C42—81no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—48no—
1442C23—48no—
1443C23—48no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23—162no—
1492C23—162no—
1493C23—162no—
1494C23—162no—
1495C23—162no—
1496C23—162no—
1497C23—162no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23—162no—
1505C23—162no—
1506C23—162no—
1507C23—162no—
1508C23#53512yes—
1509C23D4212yes—
1510C23C23×D411yescharacteristic
1511Q8—22no—
1512Q8—22no—
1513Q8—22no—
1514Q8—22no—
1515Q8—44no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—41no—
1521Q8—41no—
1522Q8—41no—
1523Q8—41no—
1524Q8—84no—
1525D4—22no—
1526D4—22no—
1527D4—22no—
1528D4—22no—
1529D4—22no—
1530D4—22no—
1531D4—44no—
1532D4—44no—
1533D4—48no—
1534D4—48no—
1535D4—44no—
1536D4—48no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—162no—
1569D4—162no—
1570D4—162no—
1571D4—162no—
1572D4—162no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4—162no—
1578C2×C4—28no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—84no—
1654C2×C4—162no—
1655C2×C4#53512yes—
1656C2×C4D4212yes—
1657C2×C4#57612yes—
1658C2×C4#57712yes—
1659C2×C4#57712yes—
1660C2×C4C23×D411yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4C2×H(5,𝔽2)11yescharacteristic
1663C2×C4C2×H(5,𝔽2)11yescharacteristic
1664C2×C4C2×H(5,𝔽2)11yescharacteristic
1665C2×C4C2×H(5,𝔽2)11yescharacteristic
1666C8—22no—
1667C8—22no—
1668C8—41no—
1669C8—41no—
1670C8—41no—
1671C8—41no—
1672C8—41no—
1673C8—41no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—42no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—168no—
1738C22—168no—
1739C22—168no—
1740C22—168no—
1741C22C2×#53511yescharacteristic
1742C22C2×D4211yescharacteristic
1743C22#348411yescharacteristic
1744C22C2×#57611yescharacteristic
1745C22C2×#57711yescharacteristic
1746C22C2×#57711yescharacteristic
1747C22#358511yescharacteristic
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—81no—
1763C4—81no—
1764C4—81no—
1765C4—81no—
1766C4—81no—
1767C4—81no—
1768C4—81no—
1769C4#348411yescharacteristic
1770C4#348411yescharacteristic
1771C4#353211yescharacteristic
1772C4#353211yescharacteristic
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—82no—
1777C2—82no—
1778C2—82no—
1779C2—161no—
1780C2—161no—
1781C2—161no—
1782C2#3764511yescharacteristic
1783C2#6082211yescharacteristic
1784C2#6083311yescharacteristic
1785C2#6105011yescharacteristic
1786C2#6107211yescharacteristic
1787C2#6166811yescharacteristic
1788C2#6168911yescharacteristic
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×#3208C2semidirect
2. C2×#3012C2semidirect
3. #37781C2semidirect
4. #35527C2semidirect
5. #32886C2semidirect
6. #31015C2semidirect
7. #30988C2semidirect
8. #30529C2semidirect
9. #30519C2semidirect
10. #30472C2semidirect
11. #30459C2semidirect
12. #30458C2semidirect
13. #30456C2semidirect
14. #29727C2semidirect
15. #29622C2semidirect
16. #27270C2semidirect
17. #27254C2semidirect
18. #25791C2semidirect
19. #25775C2semidirect
20. #25736C2semidirect
21. #25096C2semidirect
22. #25080C2semidirect
23. #24504C2semidirect
24. #24394C2semidirect
25. #24370C2semidirect
26. #24362C2semidirect
27. #24220C2semidirect
28. #23935C2semidirect
29. #23924C2semidirect
30. #22556C2semidirect
31. #22052C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
38. C2×#533C22semidirect
41. C2×#496C22semidirect
42. C2×#495C22semidirect
43. C2×#492C22semidirect
44. C2×#492C22semidirect
45. C2×#486C22semidirect
46. C2×#486C22semidirect
47. C2×#468C22semidirect
48. C2×#465C22semidirect
49. C2×#464C22semidirect
50. C2×#460C22semidirect
51. C2×#460C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#431C22semidirect
76. C2×#417C22semidirect
77. C22×#102C22semidirect
79. #2854C22semidirect
84. #2620C22semidirect
86. #2491C22semidirect
90. #2440C22semidirect
97. #2432C22semidirect
104. #2429C22semidirect
106. #2426C22semidirect
107. #2423C22semidirect
112. #2360C22semidirect
113. #2341C22semidirect
114. #2323C22semidirect
118. #2071C22semidirect
119. #2071C22semidirect
120. #2068C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2016C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2014C22semidirect
142. #2014C22semidirect
143. #2013C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1970C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1934C22semidirect
169. #1933C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1893C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
184. #1875C22semidirect
185. #1874C22semidirect
186. #1874C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1817C22semidirect
193. #1798C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1750C22semidirect
345. #450D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32082
C2×#30122
#377812
#355272
#328862
#310152
#309882
#305292
#305192
#304722
#304592
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