Finite Group Databasebeta

← #6667798

Subgroups — #6667798

Order 512.

2847 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3267C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#42992C211yesmaximal, characteristic, complemented
4#35750C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#31060C211yesmaximal, characteristic, complemented
8#31003C211yesmaximal, characteristic, complemented
9#30992C211yesmaximal, characteristic, complemented
10#30467C211yesmaximal, characteristic, complemented
11#30464C211yesmaximal, characteristic, complemented
12#30408C211yesmaximal, characteristic, complemented
13#30406C211yesmaximal, characteristic, complemented
14#29746C211yesmaximal, characteristic, complemented
15#29608C211yesmaximal, characteristic, complemented
16#28356C211yesmaximal, characteristic, complemented
17#28103C211yesmaximal, characteristic, complemented
18#25176C211yesmaximal, characteristic, complemented
19#25154C211yesmaximal, characteristic, complemented
20#24915C211yesmaximal, characteristic, complemented
21#24909C211yesmaximal, characteristic, complemented
22#24527C211yesmaximal, characteristic, complemented
23#24363C211yesmaximal, characteristic, complemented
24#24253C211yesmaximal, characteristic, complemented
25#24247C211yesmaximal, characteristic, complemented
26#24039C211yesmaximal, characteristic, complemented
27#23853C211yesmaximal, characteristic, complemented
28#23853C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22037C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#537C2211yescharacteristic
41#3267—28no—
42C2×#497C2211yescharacteristic, complemented
43C2×#484C2211yescharacteristic, complemented
44C2×#470C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#462C2211yescharacteristic, complemented
48C2×#463C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50#3012—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic
54C2×#452C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#442C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic
75C22×#102C2211yescharacteristic
76C2×#408C2211yescharacteristic
77#2813—21no—
78#2701—21no—
79#2701—21no—
80#2699—21no—
81#2699—21no—
82#2663—21no—
83#2627—21no—
84#2616C2211yescharacteristic
85#2616C2211yescharacteristic
86#2613—21no—
87#2591—21no—
88#2536C2211yescharacteristic, complemented
89#2536C2211yescharacteristic, complemented
90#2503C2211yescharacteristic, complemented
91#2487C2211yescharacteristic, complemented
92#2435C2211yescharacteristic
93#2432C2211yescharacteristic
94#2432C2211yescharacteristic
95#2430—21no—
96#2429C2211yescharacteristic, complemented
97#2429C2211yescharacteristic, complemented
98#2420C2211yescharacteristic, complemented
99#2420C2211yescharacteristic, complemented
100#2410—21no—
101#2410—21no—
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2407C2211yescharacteristic, complemented
107#2406—21no—
108#2405—21no—
109#2405—21no—
110#2388C2211yescharacteristic
111C2×#394—21no—
112#2341C2211yescharacteristic, complemented
113#2339C2211yescharacteristic
114D4×C22⋊C4C2211yescharacteristic
115D4×C22⋊C4C2211yescharacteristic
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2013C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1969C2211yescharacteristic, complemented
160#1960C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1893C2211yescharacteristic, complemented
171#1892C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1780C2211yescharacteristic
204#1753C2211yescharacteristic, 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
218C22×#41C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)D418yescomplemented
228C2×#135—24no—
229C2×#135—24no—
230C2×#135—42no—
231C2×#135—42no—
232C2×#135—42no—
233C2×#135—42no—
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C23×C8C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#547—24no—
253#547—42no—
254#547—42no—
255#547—42no—
256#546—24no—
257#546—42no—
258#546—42no—
259#546—42no—
260#537—24no—
261#537—42no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×C4×Q8C2311yescharacteristic
298C2×C4×Q8C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C22×C4⋊C4—21no—
307C22×C4⋊C4—21no—
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313#497—24no—
314#484—42no—
315#470—24no—
316#465—24no—
317#464—42no—
318#463—24no—
319#462—42no—
320#461—24no—
321#452—24no—
322#452—24no—
323#452—24no—
324#452—24no—
325#452—42no—
326#452—42no—
327#452—42no—
328#452—42no—
329#450—24no—
330#450—24no—
331#450—24no—
332#450—42no—
333#450—42no—
334#449—24no—
335#449—24no—
336#449—24no—
337#449—42no—
338#447—24no—
339#447—24no—
340#442—24no—
341#440—42no—
342C4×SD16—42no—
343#435—24no—
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352#417—24no—
353C2×#103C2311yescharacteristic
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×#102—24no—
370C2×#102C2311yescharacteristic
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
388#408—24no—
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405#400—21no—
406#400—21no—
407#400—21no—
408#399—21no—
409#398—21no—
410#398—21no—
411#398—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#396—21no—
416#396—21no—
417#395—21no—
418#395—21no—
419#395D411yescharacteristic
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#394D411yescharacteristic
442#394D411yescharacteristic
443#394D411yescharacteristic
444#393D411yescharacteristic
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392D411yescharacteristic
451#392D411yescharacteristic
452#392D411yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#389—21no—
466#389—21no—
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—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#382C2311yescharacteristic
498#382C2311yescharacteristic
499#381—21no—
500#381—21no—
501#381—21no—
502#381—21no—
503#381—21no—
504#380—21no—
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517#379—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
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—22no—
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—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—44no—
589C2×#41—44no—
590C2×#41C2×D414yes—
591C22×Q8C2×D411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
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—21no—
617C22×D4—22no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—44no—
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×D4C2×D414yes—
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661AGL(1,ℤ/8)—416no—
662#135—416no—
663#135—416no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×SD16—22no—
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×SD16C2×D414yes—
699C2×SD16C2×D414yes—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8C2×D414yes—
708C2×D8C2×D414yes—
709C2×M16—41no—
710C2×M16—41no—
711C2×M16C2×D414yes—
712C22×C8—22no—
713C22×C8—22no—
714C22×C8—41no—
715C22×C8—41no—
716C22×C8—41no—
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—41no—
729C4⋊Q8—41no—
730#124—22no—
731#124—22no—
732#124—41no—
733#124—41no—
734#123—44no—
735#123—44no—
736#123—44no—
737#123—44no—
738#123—44no—
739#123—44no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—44no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—44no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#120—44no—
777#120—44no—
778#120—82no—
779C4×Q8—41no—
780C4×Q8—41no—
781C4×Q8—41no—
782C4×Q8—41no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C2×C4⋊C4—22no—
798C2×C4⋊C4—22no—
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⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4C2×D411yescharacteristic
821C2×C4⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—44no—
874C2×C22⋊C4—44no—
875C2×C22⋊C4—82no—
876C2×C22⋊C4—82no—
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
890C2×C42—21no—
891C2×C42C2411yescharacteristic
892C2×C42C2411yescharacteristic
893C2×C42C2411yescharacteristic
894#107—41no—
895#107—41no—
896#107—41no—
897#106—22no—
898#106—41no—
899C4⋊C8—22no—
900C4⋊C8—41no—
901C4⋊C8—41no—
902#103—22no—
903#103—22no—
904#103—22no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—41no—
909#103—41no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949#97—22no—
950#97—41no—
951C4×C8—41no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#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#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980C24—21no—
981C24—24no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—24no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009#41—28no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
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—432no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—82no—
1031#41—82no—
1032#41—82no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038C2×Q8—22no—
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—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8C22×D412yes—
1064C2×Q8H(5,𝔽2)12yes—
1065C2×D4—28no—
1066C2×D4—24no—
1067C2×D4—24no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—24no—
1074C2×D4—21no—
1075C2×D4—21no—
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—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—432no—
1130C2×D4—432no—
1131C2×D4—432no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
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—81no—
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×D4—81no—
1154C2×D4—81no—
1155C2×D4C22×D412yes—
1156C2×D4C22×D412yes—
1157C2×D4C22×D412yes—
1158C2×D4H(5,𝔽2)12yes—
1159C2×D4H(5,𝔽2)12yes—
1160C2×D4H(5,𝔽2)12yes—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—24no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
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—21no—
1186C22×C4—24no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4C22×D411yescharacteristic
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×D412yes—
1239C22×C4H(5,𝔽2)12yes—
1240C22×C4C2511yescharacteristic
1241Q16—44no—
1242Q16—44no—
1243Q16—82no—
1244Q16—82no—
1245SD16—28no—
1246SD16—44no—
1247SD16—44no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—82no—
1252SD16—82no—
1253D8—28no—
1254D8—44no—
1255D8—44no—
1256M16—44no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—44no—
1280C2×C8—44no—
1281C2×C8C22×D412yes—
1282C2×C8C22×D412yes—
1283C4⋊C4—22no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
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—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
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—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—21no—
1380C42—21no—
1381C42—81no—
1382C42—81no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
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—22no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—48no—
1417C23—48no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—48no—
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—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
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—
1459C23D4212yes—
1460C23C23×D411yescharacteristic
1461Q8—22no—
1462Q8—22no—
1463Q8—22no—
1464Q8—22no—
1465Q8—44no—
1466Q8—41no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—48no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—48no—
1494D4—48no—
1495D4—48no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—82no—
1503D4—84no—
1504D4—82no—
1505D4—82no—
1506D4—84no—
1507D4—84no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512D4#53414yes—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
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—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
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—41no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—162no—
1603C2×C4—162no—
1604C2×C4—162no—
1605C2×C4D4212yes—
1606C2×C4C23×D411yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4C2×H(5,𝔽2)11yescharacteristic
1609C2×C4C2×H(5,𝔽2)11yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C8—22no—
1613C8—22no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C8—41no—
1618C8—41no—
1619C8—41no—
1620C22—22no—
1621C22—24no—
1622C22—22no—
1623C22—22no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
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—168no—
1677C22—168no—
1678C22—168no—
1679C22C2×D4211yescharacteristic
1680C22#348411yescharacteristic
1681C22#348411yescharacteristic
1682C22#358411yescharacteristic
1683C22#358411yescharacteristic
1684C22#358511yescharacteristic
1685C22#358611yescharacteristic
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4C2×#53411yescharacteristic
1709C4#348411yescharacteristic
1710C4#353211yescharacteristic
1711C4#353211yescharacteristic
1712C2—42no—
1713C2—44no—
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—82no—
1718C2—82no—
1719C2—82no—
1720C2#3764411yescharacteristic
1721C2#6107311yescharacteristic
1722C2#6109211yescharacteristic
1723C2#6162811yescharacteristic
1724C2#6163511yescharacteristic
1725C2#6167011yescharacteristic
1726C2#6169111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3267C2semidirect
2. C2×#3012C2semidirect
3. #42992C2semidirect
4. #35750C2semidirect
5. #32886C2semidirect
6. #31063C2semidirect
7. #31060C2semidirect
8. #31003C2semidirect
9. #30992C2semidirect
10. #30467C2semidirect
11. #30464C2semidirect
12. #30408C2semidirect
13. #30406C2semidirect
14. #29746C2semidirect
15. #29608C2semidirect
16. #28356C2semidirect
17. #28103C2semidirect
18. #25176C2semidirect
19. #25154C2semidirect
20. #24915C2semidirect
21. #24909C2semidirect
22. #24527C2semidirect
23. #24363C2semidirect
24. #24253C2semidirect
25. #24247C2semidirect
26. #24039C2semidirect
27. #23853C2semidirect
28. #23853C2semidirect
29. #23850C2semidirect
30. #22443C2semidirect
31. #22037C2semidirect
35. C22×#135C22semidirect
37. C2×#547C22semidirect
42. C2×#497C22semidirect
43. C2×#484C22semidirect
44. C2×#470C22semidirect
45. C2×#465C22semidirect
46. C2×#464C22semidirect
47. C2×#462C22semidirect
48. C2×#463C22semidirect
49. C2×#461C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
70. C2×#442C22semidirect
71. C2×#440C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×#435C22semidirect
88. #2536C22semidirect
89. #2536C22semidirect
90. #2503C22semidirect
91. #2487C22semidirect
96. #2429C22semidirect
97. #2429C22semidirect
98. #2420C22semidirect
99. #2420C22semidirect
105. #2407C22semidirect
106. #2407C22semidirect
112. #2341C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2073C22semidirect
121. #2073C22semidirect
122. #2067C22semidirect
123. #2066C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2036C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
137. #2034C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
145. #2013C22semidirect
146. #2013C22semidirect
147. #2012C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1970C22semidirect
159. #1969C22semidirect
160. #1960C22semidirect
161. #1958C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1893C22semidirect
171. #1892C22semidirect
172. #1892C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1878C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1869C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1850C22semidirect
190. #1823C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1804C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
204. #1753C22semidirect
227. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32672
C2×#30122
#429922
#357502
#328862
#310632
#310602
#310032
#309922
#304672
#304642
#304082
#304062
#297462
#296082
#283562
#281032
#251762
#251542
#249152
#249092
#245272
#243632
#242532
#242472
#240392
#238532
#238502
#224432
#220372