Finite Group Databasebeta

← #7301593

Subgroups — #7301593

Order 512.

2472 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58997C211yesmaximal, characteristic, complemented
2#39885C211yesmaximal, characteristic, complemented
3#32035C211yesmaximal, characteristic, complemented
4#31850C211yesmaximal, characteristic, complemented
5#31835C211yesmaximal, characteristic, complemented
6#31676C211yesmaximal, characteristic, complemented
7#31392C211yesmaximal, characteristic, complemented
8#31386C211yesmaximal, characteristic, complemented
9#31032C211yesmaximal, characteristic, complemented
10#31016C211yesmaximal, characteristic, complemented
11#31000C211yesmaximal, characteristic, complemented
12#30984C211yesmaximal, characteristic, complemented
13#30472C211yesmaximal, characteristic, complemented
14#30472C211yesmaximal, characteristic, complemented
15#29594C211yesmaximal, characteristic, complemented
16#29592C211yesmaximal, characteristic, complemented
17#26673C211yesmaximal, characteristic, complemented
18#26672C211yesmaximal, characteristic, complemented
19#26640C211yesmaximal, characteristic, complemented
20#26625C211yesmaximal, characteristic, complemented
21#25770C211yesmaximal, characteristic, complemented
22#25179C211yesmaximal, characteristic, complemented
23#25159C211yesmaximal, characteristic, complemented
24#24252C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#23920C211yesmaximal, characteristic, complemented
27#23920C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#23848C211yesmaximal, characteristic, complemented
31#23307C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic, complemented
40C2×#496C2211yescharacteristic, complemented
41C2×#481C2211yescharacteristic, complemented
42C2×#480C2211yescharacteristic, complemented
43C2×#460C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic, complemented
45C2×#459C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#450C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic, complemented
53C2×#447C2211yescharacteristic, complemented
54C2×#447C2211yescharacteristic, complemented
55C2×#447C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic, complemented
59C2×#440C2211yescharacteristic, complemented
60C2×C4×SD16C2211yescharacteristic, complemented
61#2847C2211yescharacteristic, complemented
62#2701—21no—
63#2697—21no—
64#2679—21no—
65#2678—21no—
66#2675—21no—
67#2669—21no—
68#2630—21no—
69#2602—21no—
70#2541C2211yescharacteristic
71#2538C2211yescharacteristic, complemented
72#2536C2211yescharacteristic, complemented
73#2534—21no—
74#2500C2211yescharacteristic, complemented
75#2485C2211yescharacteristic, complemented
76#2433C2211yescharacteristic, complemented
77#2433C2211yescharacteristic, complemented
78#2428C2211yescharacteristic, complemented
79#2428C2211yescharacteristic, complemented
80#2426C2211yescharacteristic, complemented
81#2426C2211yescharacteristic, complemented
82#2424—21no—
83#2424—21no—
84#2422C2211yescharacteristic, complemented
85#2420C2211yescharacteristic, complemented
86#2416C2211yescharacteristic
87#2416C2211yescharacteristic
88#2410—21no—
89#2410—21no—
90#2408C2211yescharacteristic
91#2408C2211yescharacteristic, complemented
92#2408C2211yescharacteristic, complemented
93#2403—21no—
94#2361C2211yescharacteristic, complemented
95#2361C2211yescharacteristic, complemented
96#2341C2211yescharacteristic, complemented
97#2321—21no—
98C4×#120C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2100C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2012C2211yescharacteristic, complemented
124#2012C2211yescharacteristic, complemented
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#2011C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1972C2211yescharacteristic, complemented
149#1970C2211yescharacteristic, complemented
150#1961C2211yescharacteristic, complemented
151#1957C2211yescharacteristic, complemented
152#1955C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, complemented
156#1936C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1919C2211yescharacteristic, complemented
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1892C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, 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
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8—42no—
218C22×D8—42no—
219C22×D8—42no—
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229#546—42no—
230#546—42no—
231D42—42no—
232D42—42no—
233D42—48no—
234D42—42no—
235D42—42no—
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#124C2311yescharacteristic
241#525—42no—
242#525—42no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—42no—
261C2×#121—42no—
262C2×#121—42no—
263C2×#121—42no—
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120D411yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312#496—42no—
313#481—42no—
314#480—42no—
315#460—42no—
316#460—42no—
317#459—42no—
318#450—42no—
319#450—42no—
320#450—42no—
321#449—42no—
322#449—42no—
323#449—42no—
324#449—42no—
325#447—42no—
326#447—42no—
327#447—42no—
328#447—42no—
329#447—42no—
330#447—42no—
331#440—42no—
332C4×SD16—42no—
333C2×#107C2311yescharacteristic
334C2×#107C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390#398—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#396—21no—
395#396—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#389—21no—
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#389C2311yescharacteristic
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#387—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386D411yescharacteristic
466#386D411yescharacteristic
467#386D411yescharacteristic
468#385—21no—
469#385—21no—
470#385—21no—
471#385D411yescharacteristic
472#385D411yescharacteristic
473#385D411yescharacteristic
474#384C2311yescharacteristic
475#382C2311yescharacteristic
476#381—21no—
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#379—21no—
485#379—21no—
486#379—21no—
487#379D411yescharacteristic
488C4×C4⋊C4C2311yescharacteristic
489C4×C22⋊C4—21no—
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492C4×C22⋊C4C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25—21no—
517C25—21no—
518C25—21no—
519C25C2×D411yescharacteristic
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C22×Q8C2411yescharacteristic
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—44no—
578C22×D4—44no—
579C22×D4—44no—
580C22×D4—44no—
581C22×D4—44no—
582C22×D4—44no—
583C22×D4—44no—
584C22×D4—44no—
585C22×D4—82no—
586C22×D4—82no—
587C22×D4—82no—
588C22×D4—82no—
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2×D411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C22×D4C2411yescharacteristic
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—41no—
605C23×C4—41no—
606C23×C4—41no—
607C23×C4—41no—
608C23×C4—41no—
609C23×C4—41no—
610C23×C4C2×D411yescharacteristic
611C23×C4C2×D411yescharacteristic
612C23×C4C2×D411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16—22no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—22no—
633C2×D8—22no—
634C2×D8—22no—
635C2×D8—22no—
636C2×D8—22no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—416no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665#127—22no—
666#127—22no—
667#127—41no—
668#127—41no—
669#127—41no—
670#127—41no—
671#127—44no—
672#124—22no—
673#124—41no—
674#123—44no—
675#123—44no—
676#123—82no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—41no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—41no—
702#121—41no—
703#121—41no—
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—41no—
714#121—41no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—44no—
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—82no—
736#120—82no—
737#120—82no—
738#120—82no—
739C4×Q8—41no—
740C4×Q8—41no—
741C4×Q8—41no—
742C4×Q8—41no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—41no—
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—44no—
756C4×D4—44no—
757C4×D4—44no—
758C4×D4—44no—
759#117—41no—
760#117—41no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
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⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4—41no—
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2×D411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
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—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—44no—
837C2×C22⋊C4—44no—
838C2×C22⋊C4—44no—
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C42—21no—
852C2×C42—21no—
853C2×C42—21no—
854C2×C42—21no—
855C2×C42C2411yescharacteristic
856C2×C42C2411yescharacteristic
857C2×C42C2411yescharacteristic
858#107—22no—
859#107—41no—
860#106—22no—
861#106—41no—
862C4⋊C8—41no—
863C4⋊C8—41no—
864C4⋊C8—41no—
865#103—22no—
866#103—22no—
867#103—41no—
868#103—41no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
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—
892#102—41no—
893#102—41no—
894#102—41no—
895#102—41no—
896#102—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—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912#97—41no—
913#97—41no—
914C4×C8—41no—
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#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932#95C2×D411yescharacteristic
933#95C2×D411yescharacteristic
934C24—21no—
935C24—21no—
936C24—21no—
937C24—22no—
938C24—22no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—41no—
943C24—41no—
944C24—41no—
945C24—41no—
946C24—41no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24C22×D411yescharacteristic
976C24C22×D411yescharacteristic
977C24C22×D411yescharacteristic
978C24C22×D411yescharacteristic
979#41—82no—
980#41—82no—
981#41—82no—
982#41—82no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8H(5,𝔽2)12yes—
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—24no—
994C2×D4—22no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
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—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—816no—
1125C2×D4—816no—
1126C2×D4—816no—
1127C2×D4—816no—
1128C2×D4AGL(1,ℤ/8)14yes—
1129C2×D4H(5,𝔽2)12yes—
1130C2×D4H(5,𝔽2)12yes—
1131C2×D4H(5,𝔽2)12yes—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—24no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4—81no—
1191C22×C4—82no—
1192C22×C4—82no—
1193C22×C4—82no—
1194C22×C4—82no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C2511yescharacteristic
1208SD16—44no—
1209SD16—44no—
1210SD16—82no—
1211SD16—82no—
1212D8—44no—
1213D8—44no—
1214D8—44no—
1215D8—44no—
1216D8—82no—
1217D8—82no—
1218D8—82no—
1219D8—82no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—44no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—81no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4—81no—
1275C4⋊C4—81no—
1276C4⋊C4—81no—
1277C4⋊C4H(5,𝔽2)12yes—
1278C4⋊C4H(5,𝔽2)12yes—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
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—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C42—21no—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—42no—
1344C42—42no—
1345C42—81no—
1346C42—81no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—44no—
1376C23—44no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—82no—
1417C23—82no—
1418C23—82no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—82no—
1427C23—82no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—162no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23C2×AGL(1,ℤ/8)12yes—
1450C23C2×AGL(1,ℤ/8)12yes—
1451C23#57612yes—
1452C23C23×D411yescharacteristic
1453Q8—22no—
1454Q8—22no—
1455Q8—41no—
1456Q8—41no—
1457D4—22no—
1458D4—22no—
1459D4—22no—
1460D4—22no—
1461D4—22no—
1462D4—22no—
1463D4—44no—
1464D4—44no—
1465D4—48no—
1466D4—48no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—84no—
1486D4—82no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—162no—
1504D4—162no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508D4—162no—
1509D4—162no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
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—84no—
1586C2×C4—84no—
1587C2×C4—82no—
1588C2×C4—82no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—162no—
1594C2×C4C2×AGL(1,ℤ/8)12yes—
1595C2×C4C2×H(5,𝔽2)11yescharacteristic
1596C2×C4C2×H(5,𝔽2)11yescharacteristic
1597C2×C4C2×H(5,𝔽2)11yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C8—41no—
1602C8—41no—
1603C8—41no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—88no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—168no—
1681C22—168no—
1682C22—168no—
1683C22—168no—
1684C22#348411yescharacteristic
1685C22#348411yescharacteristic
1686C22#348411yescharacteristic
1687C22C22×AGL(1,ℤ/8)11yescharacteristic
1688C22C2×#57611yescharacteristic
1689C22#358411yescharacteristic
1690C22#358511yescharacteristic
1691C4—22no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4#353211yescharacteristic
1712C4#353711yescharacteristic
1713C4#353711yescharacteristic
1714C4#354311yescharacteristic
1715C2—42no—
1716C2—42no—
1717C2—42no—
1718C2—81no—
1719C2—82no—
1720C2—82no—
1721C2—82no—
1722C2—161no—
1723C2—161no—
1724C2—161no—
1725C2#4782711yescharacteristic
1726C2#6157111yescharacteristic
1727C2#6159111yescharacteristic
1728C2#6159811yescharacteristic
1729C2#6161711yescharacteristic
1730C2#6162511yescharacteristic
1731C2#6163911yescharacteristic
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. #58997C2semidirect
2. #39885C2semidirect
3. #32035C2semidirect
4. #31850C2semidirect
5. #31835C2semidirect
6. #31676C2semidirect
7. #31392C2semidirect
8. #31386C2semidirect
9. #31032C2semidirect
10. #31016C2semidirect
11. #31000C2semidirect
12. #30984C2semidirect
13. #30472C2semidirect
14. #30472C2semidirect
15. #29594C2semidirect
16. #29592C2semidirect
17. #26673C2semidirect
18. #26672C2semidirect
19. #26640C2semidirect
20. #26625C2semidirect
21. #25770C2semidirect
22. #25179C2semidirect
23. #25159C2semidirect
24. #24252C2semidirect
25. #24240C2semidirect
26. #23920C2semidirect
27. #23920C2semidirect
28. #23851C2semidirect
29. #23848C2semidirect
30. #23848C2semidirect
31. #23307C2semidirect
32. C23×D8C22semidirect
33. C2×#546C22semidirect
37. C2×#525C22semidirect
38. C22×#121C22semidirect
39. C22×#121C22semidirect
40. C2×#496C22semidirect
41. C2×#481C22semidirect
42. C2×#480C22semidirect
43. C2×#460C22semidirect
44. C2×#460C22semidirect
45. C2×#459C22semidirect
46. C2×#449C22semidirect
47. C2×#449C22semidirect
48. C2×#449C22semidirect
49. C2×#449C22semidirect
50. C2×#450C22semidirect
51. C2×#450C22semidirect
52. C2×#450C22semidirect
53. C2×#447C22semidirect
54. C2×#447C22semidirect
55. C2×#447C22semidirect
56. C2×#447C22semidirect
57. C2×#447C22semidirect
58. C2×#447C22semidirect
59. C2×#440C22semidirect
60. C2×C4×SD16C22semidirect
61. #2847C22semidirect
71. #2538C22semidirect
72. #2536C22semidirect
74. #2500C22semidirect
75. #2485C22semidirect
76. #2433C22semidirect
77. #2433C22semidirect
78. #2428C22semidirect
79. #2428C22semidirect
80. #2426C22semidirect
81. #2426C22semidirect
84. #2422C22semidirect
85. #2420C22semidirect
91. #2408C22semidirect
92. #2408C22semidirect
94. #2361C22semidirect
95. #2361C22semidirect
96. #2341C22semidirect
99. #2101C22semidirect
100. #2100C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2073C22semidirect
104. #2071C22semidirect
105. #2067C22semidirect
106. #2067C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
123. #2012C22semidirect
124. #2012C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
127. #2011C22semidirect
128. #2011C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1983C22semidirect
148. #1972C22semidirect
149. #1970C22semidirect
150. #1961C22semidirect
151. #1957C22semidirect
152. #1955C22semidirect
153. #1955C22semidirect
154. #1954C22semidirect
155. #1936C22semidirect
156. #1936C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1919C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
169. #1892C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
186. #1869C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1865C22semidirect
190. #1863C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
193. #1804C22semidirect
194. #1802C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#589972
#398852
#320352
#318502
#318352
#316762
#313922
#313862
#310322
#310162
#310002
#309842
#304722
#295942
#295922
#266732
#266722
#266402
#266252
#257702
#251792
#251592
#242522
#242402
#239202
#238512
#238482
#233072