Finite Group Databasebeta

← #7200082

Subgroups — #7200082

Order 512.

3158 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45508C211yesmaximal, characteristic, complemented
2D4×#120C211yesmaximal, characteristic, complemented
3#32881C211yesmaximal, characteristic, complemented
4#32878C211yesmaximal, characteristic, complemented
5#32708C211yesmaximal, characteristic, complemented
6#32706C211yesmaximal, characteristic, complemented
7#31676C211yesmaximal, characteristic, complemented
8#31314C211yesmaximal, characteristic, complemented
9#31310C211yesmaximal, characteristic, complemented
10#31044C211yesmaximal, characteristic, complemented
11#31036C211yesmaximal, characteristic, complemented
12#31004C211yesmaximal, characteristic, complemented
13#31000C211yesmaximal, characteristic, complemented
14#30511C211yesmaximal, characteristic, complemented
15#30472C211yesmaximal, characteristic, complemented
16#30460C211yesmaximal, characteristic, complemented
17#30424C211yesmaximal, characteristic, complemented
18#30416C211yesmaximal, characteristic, complemented
19#27536C211yesmaximal, characteristic, complemented
20#27534C211yesmaximal, characteristic, complemented
21#25763C211yesmaximal, characteristic, complemented
22#25172C211yesmaximal, characteristic, complemented
23#25164C211yesmaximal, characteristic, complemented
24#24917C211yesmaximal, characteristic, complemented
25#24909C211yesmaximal, characteristic, complemented
26#24448C211yesmaximal, characteristic, complemented
27#24440C211yesmaximal, characteristic, complemented
28#24252C211yesmaximal, characteristic, complemented
29#24248C211yesmaximal, characteristic, complemented
30#24044C211yesmaximal, characteristic, complemented
31#23309C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C22×#120—21no—
37C2×#496C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#460C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#450C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#450C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic, complemented
50C2×#450C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#447C2211yescharacteristic, complemented
55C2×#447C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic, complemented
58C2×#442C2211yescharacteristic, complemented
59C2×#440C2211yescharacteristic, complemented
60C2×#418C2211yescharacteristic, complemented
61#2848C2211yescharacteristic, complemented
62#2847C2211yescharacteristic
63#2847C2211yescharacteristic, complemented
64#2846—21no—
65#2812—21no—
66#2797—21no—
67#2796—21no—
68#2778—21no—
69#2757—21no—
70#2749—21no—
71#2746—21no—
72#2540C2211yescharacteristic, complemented
73#2536C2211yescharacteristic, complemented
74#2535C2211yescharacteristic, complemented
75#2495C2211yescharacteristic, complemented
76#2494C2211yescharacteristic, complemented
77#2485C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2433C2211yescharacteristic
80#2433C2211yescharacteristic
81#2427C2211yescharacteristic, complemented
82#2426C2211yescharacteristic, complemented
83#2421C2211yescharacteristic, complemented
84#2420C2211yescharacteristic, complemented
85#2415C2211yescharacteristic, complemented
86#2414C2211yescharacteristic, complemented
87#2410—21no—
88#2410—21no—
89#2410—21no—
90#2408C2211yescharacteristic
91#2408C2211yescharacteristic
92#2408C2211yescharacteristic
93#2403—21no—
94#2403—21no—
95#2403—21no—
96#2375—21no—
97D4×C22⋊C4C2211yescharacteristic
98D4×C22⋊C4C2211yescharacteristic
99D4×C22⋊C4C2211yescharacteristic
100C4×#120C2211yescharacteristic
101#2092C2211yescharacteristic, complemented
102#2092C2211yescharacteristic, complemented
103#2077C2211yescharacteristic, complemented
104#2077C2211yescharacteristic, complemented
105#2077C2211yescharacteristic, complemented
106#2075C2211yescharacteristic, complemented
107#2075C2211yescharacteristic, complemented
108#2075C2211yescharacteristic, complemented
109#2073C2211yescharacteristic, complemented
110#2073C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2067C2211yescharacteristic, complemented
113#2065C2211yescharacteristic, complemented
114#2065C2211yescharacteristic, complemented
115#2055C2211yescharacteristic, complemented
116#2054C2211yescharacteristic, complemented
117#2041C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1982C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1972C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1961C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1955C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1936C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1804C2211yescharacteristic, complemented
186#1804C2211yescharacteristic, complemented
187#1786C2211yescharacteristic
188#1786C2211yescharacteristic
189#1786C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C26—21no—
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—42no—
211C23×D4—42no—
212C23×D4—42no—
213C23×D4—42no—
214C23×D4—42no—
215C23×D4—42no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic, complemented
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic, complemented
234C22×M16C2311yescharacteristic, complemented
235D42—42no—
236D42—42no—
237D42—42no—
238D42—42no—
239D42—42no—
240D42—42no—
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#124C2311yescharacteristic, complemented
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic, complemented
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic, complemented
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—48no—
280C2×#120D411yescharacteristic
281C2×C4×Q8C2311yescharacteristic, complemented
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic, complemented
289C2×#117C2311yescharacteristic, complemented
290C22×C22⋊C4—21no—
291C22×C22⋊C4—21no—
292C22×C22⋊C4—21no—
293#496—42no—
294#482—42no—
295#469—42no—
296#468—42no—
297#463—42no—
298#460—42no—
299#459—42no—
300#450—42no—
301#450—42no—
302#450—42no—
303#450—42no—
304#450—42no—
305#450—42no—
306#450—42no—
307#447—42no—
308#447—42no—
309#447—42no—
310#447—42no—
311#447—42no—
312#447—42no—
313#447—42no—
314#442—42no—
315#440—42no—
316C2×#107C2311yescharacteristic, complemented
317C2×#107C2311yescharacteristic, complemented
318C2×#107C2311yescharacteristic, complemented
319C2×#106C2311yescharacteristic, complemented
320C2×#106C2311yescharacteristic, complemented
321C2×#106C2311yescharacteristic, complemented
322C2×C4⋊C8C2311yescharacteristic, complemented
323C2×C4⋊C8C2311yescharacteristic, complemented
324C2×C4⋊C8C2311yescharacteristic, complemented
325#418—42no—
326C2×#103C2311yescharacteristic, complemented
327C2×#103C2311yescharacteristic, complemented
328C2×#103C2311yescharacteristic, complemented
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic, complemented
354C2×#102C2311yescharacteristic, complemented
355C2×#102C2311yescharacteristic, complemented
356C2×#102C2311yescharacteristic, complemented
357C2×#102C2311yescharacteristic, complemented
358C2×#102C2311yescharacteristic, complemented
359C2×#102C2311yescharacteristic, complemented
360C2×#102C2311yescharacteristic, complemented
361C2×#102C2311yescharacteristic, complemented
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic, complemented
375C2×C22⋊C8C2311yescharacteristic, complemented
376C2×C22⋊C8C2311yescharacteristic, complemented
377C2×#97C2311yescharacteristic, complemented
378C2×#97C2311yescharacteristic, complemented
379C2×#97C2311yescharacteristic, complemented
380#401—21no—
381#400—21no—
382#400—21no—
383#399—21no—
384#398—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#396—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#391C2311yescharacteristic, complemented
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic, complemented
428#389—21no—
429#389C2311yescharacteristic, complemented
430#389C2311yescharacteristic, complemented
431#389C2311yescharacteristic, complemented
432#389C2311yescharacteristic, complemented
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#387—21no—
443#387—21no—
444#387—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386D411yescharacteristic
462#386D411yescharacteristic
463#386D411yescharacteristic
464#385—21no—
465#385—21no—
466#385—21no—
467#385D411yescharacteristic
468#385D411yescharacteristic
469#385D411yescharacteristic
470#383—21no—
471#382C2311yescharacteristic, complemented
472#382C2311yescharacteristic, complemented
473#381—21no—
474#380—21no—
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic, complemented
485#379—21no—
486#379—21no—
487#379—21no—
488#379—21no—
489#379—21no—
490#379—21no—
491#379—21no—
492#379D411yescharacteristic
493C4×C4⋊C4C2311yescharacteristic, complemented
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497#340C2311yescharacteristic, complemented
498#340C2311yescharacteristic, complemented
499#340C2311yescharacteristic, complemented
500#340C2311yescharacteristic, complemented
501#340C2311yescharacteristic, complemented
502#340C2311yescharacteristic, complemented
503#340C2311yescharacteristic, complemented
504#340C2311yescharacteristic, complemented
505#340C2311yescharacteristic, complemented
506#340C2311yescharacteristic, complemented
507#340C2311yescharacteristic, complemented
508#340C2311yescharacteristic, complemented
509#336C2311yescharacteristic, complemented
510#336C2311yescharacteristic, complemented
511#336C2311yescharacteristic, complemented
512#336C2311yescharacteristic, complemented
513#336C2311yescharacteristic, complemented
514#336C2311yescharacteristic, complemented
515C25—21no—
516C25—21no—
517C25—21no—
518C25—21no—
519C25—21no—
520C25—21no—
521C25—21no—
522C25—44no—
523C25—44no—
524C25—44no—
525C25—44no—
526C25—82no—
527C25—82no—
528C25—82no—
529C25C2×D411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
607C22×D4—44no—
608C22×D4—416no—
609C22×D4—416no—
610C22×D4—416no—
611C22×D4—416no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—44no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4—82no—
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—41no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4C2×D411yescharacteristic
638C23×C4C2×D411yescharacteristic
639C23×C4C2×D411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×M16—41no—
675C2×M16—41no—
676C2×M16—41no—
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685#127—22no—
686#127—22no—
687#127—22no—
688#127—41no—
689#127—41no—
690#127—41no—
691#124—41no—
692#124—41no—
693C22⋊Q8—41no—
694C22⋊Q8—41no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699C22⋊Q8—41no—
700C22⋊Q8—41no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#120—24no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—44no—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—44no—
736#120—44no—
737#120—44no—
738#120—44no—
739#120—82no—
740#120—82no—
741#120—82no—
742C4×Q8—41no—
743C4×Q8—41no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758#117—41no—
759#117—41no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—44no—
828C2×C22⋊C4—44no—
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847#107—41no—
848#107—41no—
849#107—41no—
850#106—41no—
851#106—41no—
852#106—41no—
853C4⋊C8—41no—
854C4⋊C8—41no—
855C4⋊C8—41no—
856#103—41no—
857#103—41no—
858#103—41no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906C22⋊C8—41no—
907#97—41no—
908#97—41no—
909#97—41no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95C2×D411yescharacteristic
932#95C2×D411yescharacteristic
933#95C2×D411yescharacteristic
934#95C2×D411yescharacteristic
935#95C2×D411yescharacteristic
936#95C2×D411yescharacteristic
937C24—21no—
938C24—24no—
939C24—24no—
940C24—24no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—41no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—432no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—816no—
1000C24—816no—
1001C24—816no—
1002C24—816no—
1003C24—816no—
1004C24—816no—
1005C24AGL(1,ℤ/8)14yes—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×D4—24no—
1017C2×D4—24no—
1018C2×D4—24no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—432no—
1104C2×D4—432no—
1105C2×D4—432no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—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—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
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×D4—816no—
1156C2×D4—816no—
1157C2×D4—816no—
1158C2×D4H(5,𝔽2)12yes—
1159C2×D4H(5,𝔽2)12yes—
1160C2×D4H(5,𝔽2)12yes—
1161C2×D4H(5,𝔽2)12yes—
1162C2×D4H(5,𝔽2)12yes—
1163C2×D4H(5,𝔽2)12yes—
1164C22×C4—21no—
1165C22×C4—21no—
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—21no—
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—21no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C2511yescharacteristic
1234SD16—44no—
1235SD16—82no—
1236SD16—82no—
1237SD16—82no—
1238SD16—82no—
1239D8—44no—
1240D8—82no—
1241D8—82no—
1242D8—82no—
1243D8—82no—
1244M16—82no—
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—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—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—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—81no—
1291C4⋊C4—81no—
1292C4⋊C4—81no—
1293C4⋊C4—81no—
1294C4⋊C4—81no—
1295C4⋊C4—81no—
1296C4⋊C4—81no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
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—42no—
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—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
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—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—81no—
1363C42—81no—
1364C42—81no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
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—22no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—48no—
1400C23—48no—
1401C23—48no—
1402C23—48no—
1403C23—48no—
1404C23—48no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—48no—
1414C23—48no—
1415C23—48no—
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—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—8128no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23C2×AGL(1,ℤ/8)12yes—
1490C23C2×AGL(1,ℤ/8)12yes—
1491C23C2×AGL(1,ℤ/8)12yes—
1492C23C23×D411yescharacteristic
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—22no—
1501D4—22no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—22no—
1506D4—48no—
1507D4—48no—
1508D4—48no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4#56014yes—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—162no—
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C8—41no—
1644C22—24no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—416no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—42no—
1688C22—41no—
1689C22—816no—
1690C22—816no—
1691C22—816no—
1692C22—816no—
1693C22—816no—
1694C22—816no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
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—168no—
1722C22#348411yescharacteristic
1723C22#348411yescharacteristic
1724C22#348411yescharacteristic
1725C22C22×AGL(1,ℤ/8)11yescharacteristic
1726C22#358511yescharacteristic
1727C22#358511yescharacteristic
1728C22#358511yescharacteristic
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—81no—
1740C4—81no—
1741C4—81no—
1742C4—81no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4C2×#56011yescharacteristic
1750C4#353211yescharacteristic
1751C4#353211yescharacteristic
1752C4#353211yescharacteristic
1753C2—42no—
1754C2—42no—
1755C2—42no—
1756C2—44no—
1757C2—81no—
1758C2—82no—
1759C2—82no—
1760C2—82no—
1761C2—161no—
1762C2—161no—
1763C2#4543811yescharacteristic
1764C2#6157111yescharacteristic
1765C2#6157111yescharacteristic
1766C2#6157111yescharacteristic
1767C2#6164311yescharacteristic
1768C2#6164411yescharacteristic
1769C2#6164411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45508C2semidirect
2. D4×#120C2semidirect
3. #32881C2semidirect
4. #32878C2semidirect
5. #32708C2semidirect
6. #32706C2semidirect
7. #31676C2semidirect
8. #31314C2semidirect
9. #31310C2semidirect
10. #31044C2semidirect
11. #31036C2semidirect
12. #31004C2semidirect
13. #31000C2semidirect
14. #30511C2semidirect
15. #30472C2semidirect
16. #30460C2semidirect
17. #30424C2semidirect
18. #30416C2semidirect
19. #27536C2semidirect
20. #27534C2semidirect
21. #25763C2semidirect
22. #25172C2semidirect
23. #25164C2semidirect
24. #24917C2semidirect
25. #24909C2semidirect
26. #24448C2semidirect
27. #24440C2semidirect
28. #24252C2semidirect
29. #24248C2semidirect
30. #24044C2semidirect
31. #23309C2semidirect
37. C2×#496C22semidirect
38. C2×#482C22semidirect
39. C2×#469C22semidirect
40. C2×#468C22semidirect
41. C2×#460C22semidirect
42. C2×#463C22semidirect
43. C2×#459C22semidirect
47. C2×#450C22semidirect
48. C2×#450C22semidirect
49. C2×#450C22semidirect
50. C2×#450C22semidirect
54. C2×#447C22semidirect
55. C2×#447C22semidirect
56. C2×#447C22semidirect
57. C2×#447C22semidirect
58. C2×#442C22semidirect
59. C2×#440C22semidirect
60. C2×#418C22semidirect
61. #2848C22semidirect
63. #2847C22semidirect
72. #2540C22semidirect
73. #2536C22semidirect
74. #2535C22semidirect
75. #2495C22semidirect
76. #2494C22semidirect
77. #2485C22semidirect
81. #2427C22semidirect
82. #2426C22semidirect
83. #2421C22semidirect
84. #2420C22semidirect
85. #2415C22semidirect
86. #2414C22semidirect
101. #2092C22semidirect
102. #2092C22semidirect
103. #2077C22semidirect
104. #2077C22semidirect
105. #2077C22semidirect
106. #2075C22semidirect
107. #2075C22semidirect
108. #2075C22semidirect
109. #2073C22semidirect
110. #2073C22semidirect
111. #2067C22semidirect
112. #2067C22semidirect
113. #2065C22semidirect
114. #2065C22semidirect
115. #2055C22semidirect
116. #2054C22semidirect
117. #2041C22semidirect
118. #2041C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2035C22semidirect
122. #2035C22semidirect
123. #2035C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2011C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1982C22semidirect
150. #1973C22semidirect
151. #1972C22semidirect
152. #1961C22semidirect
153. #1961C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1955C22semidirect
157. #1936C22semidirect
158. #1936C22semidirect
159. #1936C22semidirect
160. #1936C22semidirect
161. #1926C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1895C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1877C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1870C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1804C22semidirect
186. #1804C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
228. C22×SD16C23semidirect
233. C22×D8C23semidirect
234. C22×M16C23semidirect
244. C2×#124C23semidirect
248. C2×C22⋊Q8C23semidirect
261. C2×#121C23semidirect
281. C2×C4×Q8C23semidirect
288. C2×C4×D4C23semidirect
289. C2×#117C23semidirect
316. C2×#107C23semidirect
317. C2×#107C23semidirect
318. C2×#107C23semidirect
319. C2×#106C23semidirect
320. C2×#106C23semidirect
321. C2×#106C23semidirect
322. C2×C4⋊C8C23semidirect
323. C2×C4⋊C8C23semidirect
324. C2×C4⋊C8C23semidirect
326. C2×#103C23semidirect
327. C2×#103C23semidirect
328. C2×#103C23semidirect
353. C2×#102C23semidirect
354. C2×#102C23semidirect
355. C2×#102C23semidirect
356. C2×#102C23semidirect
357. C2×#102C23semidirect
358. C2×#102C23semidirect
359. C2×#102C23semidirect
360. C2×#102C23semidirect
361. C2×#102C23semidirect
374. C2×C22⋊C8C23semidirect
375. C2×C22⋊C8C23semidirect
376. C2×C22⋊C8C23semidirect
377. C2×#97C23semidirect
378. C2×#97C23semidirect
379. C2×#97C23semidirect
416. #391C23semidirect
427. #390C23semidirect
429. #389C23semidirect
430. #389C23semidirect
431. #389C23semidirect
432. #389C23semidirect
471. #382C23semidirect
472. #382C23semidirect
484. #380C23semidirect
493. C4×C4⋊C4C23semidirect
497. #340C23semidirect
498. #340C23semidirect
499. #340C23semidirect
500. #340C23semidirect
501. #340C23semidirect
502. #340C23semidirect
503. #340C23semidirect
504. #340C23semidirect
505. #340C23semidirect
506. #340C23semidirect
507. #340C23semidirect
508. #340C23semidirect
509. #336C23semidirect
510. #336C23semidirect
511. #336C23semidirect
512. #336C23semidirect
513. #336C23semidirect
514. #336C23semidirect

Maximal subgroups

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

subgroupindex
#455082
D4×#1202
#328812
#328782
#327082
#327062
#316762
#313142
#313102
#310442
#310362
#310042
#310002
#305112
#304722
#304602
#304242
#304162
#275362
#275342
#257632
#251722
#251642
#249172
#249092
#244482
#244402
#242522
#242482
#240442
#233092