Finite Group Databasebeta

← #7019896

Subgroups — #7019896

Order 512.

2427 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59024C211yesmaximal, characteristic, complemented
2#58997C211yesmaximal, characteristic, complemented
3#31851C211yesmaximal, characteristic, complemented
4#31851C211yesmaximal, characteristic, complemented
5#31736C211yesmaximal, characteristic, complemented
6#31392C211yesmaximal, characteristic, complemented
7#31016C211yesmaximal, characteristic, complemented
8#31004C211yesmaximal, characteristic, complemented
9#30701C211yesmaximal, characteristic, complemented
10#30519C211yesmaximal, characteristic, complemented
11#27273C211yesmaximal, characteristic, complemented
12#26947C211yesmaximal, characteristic, complemented
13#26737C211yesmaximal, characteristic, complemented
14#26659C211yesmaximal, characteristic, complemented
15#26644C211yesmaximal, characteristic, complemented
16#26426C211yesmaximal, characteristic, complemented
17#26215C211yesmaximal, characteristic, complemented
18#25569C211yesmaximal, characteristic, complemented
19#25117C211yesmaximal, characteristic, complemented
20#24424C211yesmaximal, characteristic, complemented
21#24370C211yesmaximal, characteristic, complemented
22#24252C211yesmaximal, characteristic, complemented
23#24002C211yesmaximal, characteristic, complemented
24#23969C211yesmaximal, characteristic, complemented
25#23920C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23391C211yesmaximal, characteristic, complemented
28#22863C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#22036C211yesmaximal, characteristic, complemented
31#21764C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×#554C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#486C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic, complemented
42C2×#480C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic, complemented
45C2×#460C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic, complemented
50C2×#447C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic, complemented
52C2×#440C2211yescharacteristic, complemented
53C2×#435C2211yescharacteristic, complemented
54C2×#417C2211yescharacteristic, complemented
55C2×#418C2211yescharacteristic, complemented
56C22×#102C2211yescharacteristic, complemented
57C2×#407C2211yescharacteristic, complemented
58#2707—21no—
59#2696—21no—
60#2675—21no—
61#2669—21no—
62#2541C2211yescharacteristic
63#2536C2211yescharacteristic, complemented
64#2504C2211yescharacteristic, complemented
65#2491C2211yescharacteristic, complemented
66#2472—21no—
67#2460—21no—
68#2450—21no—
69#2439C2211yescharacteristic, complemented
70#2433C2211yescharacteristic
71#2433C2211yescharacteristic
72#2428C2211yescharacteristic
73#2428C2211yescharacteristic
74#2427—21no—
75#2424—21no—
76#2424—21no—
77#2424—21no—
78#2421C2211yescharacteristic, complemented
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic, complemented
82#2416C2211yescharacteristic, complemented
83#2410—21no—
84#2410—21no—
85#2408C2211yescharacteristic
86#2407C2211yescharacteristic, complemented
87#2403—21no—
88#2364—21no—
89#2361C2211yescharacteristic
90#2361C2211yescharacteristic
91#2360C2211yescharacteristic, complemented
92#2352C2211yescharacteristic, complemented
93#2341C2211yescharacteristic, complemented
94C4×#120C2211yescharacteristic
95C2×#380C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2101C2211yescharacteristic, complemented
98#2087C2211yescharacteristic, complemented
99#2075C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2041C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2033C2211yescharacteristic
110#2033C2211yescharacteristic
111#2033C2211yescharacteristic, complemented
112#2033C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2023C2211yescharacteristic, complemented
116#2023C2211yescharacteristic, complemented
117#2014C2211yescharacteristic, complemented
118#2011C2211yescharacteristic, complemented
119#2011C2211yescharacteristic, complemented
120#2011C2211yescharacteristic, complemented
121#2000C2211yescharacteristic
122#2000C2211yescharacteristic, complemented
123#2000C2211yescharacteristic, complemented
124#2000C2211yescharacteristic, complemented
125#2000C2211yescharacteristic, complemented
126#2000C2211yescharacteristic, complemented
127#2000C2211yescharacteristic, complemented
128#2000C2211yescharacteristic, complemented
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic, complemented
131#1999C2211yescharacteristic, complemented
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1982C2211yescharacteristic, complemented
138#1973C2211yescharacteristic, complemented
139#1970C2211yescharacteristic, complemented
140#1961C2211yescharacteristic, complemented
141#1961C2211yescharacteristic, complemented
142#1955C2211yescharacteristic, complemented
143#1954C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1925C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1924C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1918C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic
158#1895C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1892C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#554—42no—
227#554—42no—
228D42—24no—
229D42—42no—
230D42—42no—
231D42—48no—
232D42—42no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127—21no—
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#125—21no—
239C2×#124—21no—
240#525—42no—
241#525—42no—
242C2×#123—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×#121—21no—
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—24no—
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×#120—21no—
278C2×#120—21no—
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×#120D411yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—21no—
307C22×C22⋊C4—21no—
308C22×C22⋊C4—21no—
309#486—42no—
310#480—42no—
311#480—42no—
312#466—42no—
313#460—42no—
314#460—42no—
315#450—42no—
316#450—42no—
317#449—24no—
318#449—42no—
319#447—42no—
320#447—42no—
321#440—42no—
322#435—42no—
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330#418—42no—
331#417—42no—
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#102—42no—
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
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365#407—42no—
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
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382#400—21no—
383#398—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#396—21no—
392#394—21no—
393#394—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#393—21no—
403#393—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#391—21no—
415#391C2311yescharacteristic
416#390—21no—
417#390—21no—
418#390—21no—
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#389—21no—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#387—21no—
442#386—21no—
443#386—21no—
444#386—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#386D411yescharacteristic
455#386D411yescharacteristic
456#386D411yescharacteristic
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385D411yescharacteristic
462#385D411yescharacteristic
463#385D411yescharacteristic
464#382C2311yescharacteristic
465#382C2311yescharacteristic
466#380—21no—
467#380—21no—
468#380—21no—
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476#379D411yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C2×#95—21no—
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
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#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512C25—21no—
513C25—21no—
514C25—21no—
515C25C2×D411yescharacteristic
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C22×Q8—21no—
523C22×Q8C2411yescharacteristic
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
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—22no—
552C22×D4—22no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—44no—
566C22×D4—44no—
567C22×D4—44no—
568C22×D4—44no—
569C22×D4—44no—
570C22×D4—44no—
571C22×D4—44no—
572C22×D4—44no—
573C22×D4—82no—
574C22×D4—82no—
575C22×D4—82no—
576C22×D4—82no—
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C23×C4—22no—
586C23×C4—22no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4C2×D411yescharacteristic
600C23×C4C2×D411yescharacteristic
601C23×C4C2×D411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606AGL(1,ℤ/8)—416no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—41no—
634C2×M16—41no—
635C2×M16—41no—
636C2×M16—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C4⋊Q8—22no—
649C4⋊Q8—41no—
650#127—22no—
651#127—22no—
652#127—41no—
653#127—41no—
654#127—41no—
655#127—41no—
656#127—44no—
657#125—44no—
658#124—82no—
659#123—44no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—44no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—44no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—44no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—44no—
685#121—44no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—44no—
702#121—41no—
703#121—41no—
704#121—82no—
705#121#4114yes—
706#120—24no—
707#120—44no—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—44no—
712#120—44no—
713#120—44no—
714#120—44no—
715#120—82no—
716#120—82no—
717C4×Q8—22no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×Q8—41no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—44no—
732C4×D4—44no—
733C4×D4—44no—
734C4×D4—44no—
735C4×D4—44no—
736#117—22no—
737#117—41no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—22no—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4—41no—
758C2×C4⋊C4—41no—
759C2×C4⋊C4—41no—
760C2×C4⋊C4—41no—
761C2×C4⋊C4—41no—
762C2×C4⋊C4—41no—
763C2×C4⋊C4C2×D411yescharacteristic
764C2×C4⋊C4C2×D411yescharacteristic
765C2×C4⋊C4C2×D411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
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—44no—
816C2×C22⋊C4—44no—
817C2×C22⋊C4—82no—
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C42—21no—
831C2×C42—21no—
832C2×C42—21no—
833C2×C42—21no—
834C2×C42—21no—
835C2×C42C2411yescharacteristic
836C2×C42C2411yescharacteristic
837C2×C42C2411yescharacteristic
838#107—22no—
839#107—22no—
840#107—41no—
841#107—41no—
842C4⋊C8—41no—
843C4⋊C8—41no—
844C4⋊C8—41no—
845#103—22no—
846#103—22no—
847#103—41no—
848#103—41no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890#97—41no—
891#97—41no—
892C4×C8—41no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917C24—21no—
918C24—21no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—41no—
926C24—41no—
927C24—41no—
928C24—41no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24—81no—
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952C24C22×D411yescharacteristic
953C24C22×D411yescharacteristic
954#41—44no—
955#41—44no—
956#41—82no—
957#41—82no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—42no—
964C2×Q8—81no—
965C2×Q8—81no—
966C2×Q8H(5,𝔽2)12yes—
967C2×D4—24no—
968C2×D4—22no—
969C2×D4—24no—
970C2×D4—22no—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—44no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
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—42no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—82no—
1068C2×D4—82no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—82no—
1073C2×D4—82no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—816no—
1085C2×D4—816no—
1086C2×D4—816no—
1087C2×D4—816no—
1088C2×D4AGL(1,ℤ/8)14yescomplemented
1089C2×D4C2×#4112yes—
1090C2×D4H(5,𝔽2)12yes—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—22no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—82no—
1147C22×C4—82no—
1148C22×C4—82no—
1149C22×C4—82no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4—81no—
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C2×#4112yes—
1172C22×C4H(5,𝔽2)12yes—
1173C22×C4C2511yescharacteristic
1174SD16—44no—
1175SD16—44no—
1176SD16—44no—
1177SD16—82no—
1178D8—44no—
1179D8—44no—
1180D8—82no—
1181D8—82no—
1182M16—44no—
1183M16—82no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—82no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4—81no—
1244C4⋊C4C2×#4112yes—
1245C4⋊C4H(5,𝔽2)12yes—
1246C4⋊C4H(5,𝔽2)12yes—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—24no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—42no—
1305C42—42no—
1306C42—42no—
1307C42—81no—
1308C42—81no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—22no—
1334C23—22no—
1335C23—44no—
1336C23—44no—
1337C23—44no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—82no—
1372C23—82no—
1373C23—82no—
1374C23—84no—
1375C23—84no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—84no—
1380C23—82no—
1381C23—84no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—162no—
1387C23—162no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23—162no—
1392C23—162no—
1393C23—162no—
1394C23—162no—
1395C23—162no—
1396C23#54612yes—
1397C23C2×AGL(1,ℤ/8)12yes—
1398C23C2×AGL(1,ℤ/8)12yes—
1399C23#57612yes—
1400C23C23×D411yescharacteristic
1401Q8—22no—
1402Q8—22no—
1403Q8—41no—
1404Q8—41no—
1405Q8—162no—
1406D4—22no—
1407D4—22no—
1408D4—22no—
1409D4—22no—
1410D4—44no—
1411D4—44no—
1412D4—44no—
1413D4—48no—
1414D4—48no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436D4—84no—
1437D4—84no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—84no—
1442D4—84no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—84no—
1447D4—162no—
1448D4—162no—
1449D4—162no—
1450D4—162no—
1451D4—162no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—84no—
1532C2×C4—82no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4—84no—
1536C2×C4—84no—
1537C2×C4—162no—
1538C2×C4—162no—
1539C2×C4—162no—
1540C2×C4#54612yes—
1541C2×C4C2×AGL(1,ℤ/8)12yes—
1542C2×C4C22×#4111yescharacteristic
1543C2×C4C2×H(5,𝔽2)11yescharacteristic
1544C2×C4C2×H(5,𝔽2)11yescharacteristic
1545C2×C4C2×H(5,𝔽2)11yescharacteristic
1546C2×C4C2×H(5,𝔽2)11yescharacteristic
1547C2×C4C2×H(5,𝔽2)11yescharacteristic
1548C8—41no—
1549C8—41no—
1550C8—41no—
1551C8—41no—
1552C8—41no—
1553C8—41no—
1554C8—41no—
1555C8—41no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—88no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—168no—
1621C22—168no—
1622C22—168no—
1623C22C2×#54611yescharacteristic
1624C22#348411yescharacteristic
1625C22#348411yescharacteristic
1626C22C22×AGL(1,ℤ/8)11yescharacteristic
1627C22C2×#57611yescharacteristic
1628C22#358511yescharacteristic
1629C22#358611yescharacteristic
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—81no—
1645C4—81no—
1646C4—81no—
1647C4—81no—
1648C4—81no—
1649C4—81no—
1650C4—81no—
1651C4#351911yescharacteristic
1652C4#351911yescharacteristic
1653C4#353211yescharacteristic
1654C4#354311yescharacteristic
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—42no—
1659C2—82no—
1660C2—82no—
1661C2—161no—
1662C2—161no—
1663C2—161no—
1664C2#4309511yescharacteristic
1665C2#6115511yescharacteristic
1666C2#6119111yescharacteristic
1667C2#6157211yescharacteristic
1668C2#6159111yescharacteristic
1669C2#6161711yescharacteristic
1670C2#6165411yescharacteristic
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. #59024C2semidirect
2. #58997C2semidirect
3. #31851C2semidirect
4. #31851C2semidirect
5. #31736C2semidirect
6. #31392C2semidirect
7. #31016C2semidirect
8. #31004C2semidirect
9. #30701C2semidirect
10. #30519C2semidirect
11. #27273C2semidirect
12. #26947C2semidirect
13. #26737C2semidirect
14. #26659C2semidirect
15. #26644C2semidirect
16. #26426C2semidirect
17. #26215C2semidirect
18. #25569C2semidirect
19. #25117C2semidirect
20. #24424C2semidirect
21. #24370C2semidirect
22. #24252C2semidirect
23. #24002C2semidirect
24. #23969C2semidirect
25. #23920C2semidirect
26. #23860C2semidirect
27. #23391C2semidirect
28. #22863C2semidirect
29. #22423C2semidirect
30. #22036C2semidirect
31. #21764C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C2×#554C22semidirect
37. C2×#525C22semidirect
40. C2×#486C22semidirect
41. C2×#480C22semidirect
42. C2×#480C22semidirect
43. C2×#466C22semidirect
44. C2×#460C22semidirect
45. C2×#460C22semidirect
47. C2×#449C22semidirect
48. C2×#450C22semidirect
49. C2×#450C22semidirect
50. C2×#447C22semidirect
51. C2×#447C22semidirect
52. C2×#440C22semidirect
53. C2×#435C22semidirect
54. C2×#417C22semidirect
55. C2×#418C22semidirect
56. C22×#102C22semidirect
57. C2×#407C22semidirect
63. #2536C22semidirect
64. #2504C22semidirect
65. #2491C22semidirect
69. #2439C22semidirect
78. #2421C22semidirect
81. #2416C22semidirect
82. #2416C22semidirect
86. #2407C22semidirect
91. #2360C22semidirect
92. #2352C22semidirect
93. #2341C22semidirect
95. C2×#380C22semidirect
96. #2101C22semidirect
97. #2101C22semidirect
98. #2087C22semidirect
99. #2075C22semidirect
100. #2073C22semidirect
101. #2073C22semidirect
102. #2068C22semidirect
103. #2067C22semidirect
104. #2054C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2041C22semidirect
108. #2041C22semidirect
111. #2033C22semidirect
112. #2033C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2023C22semidirect
116. #2023C22semidirect
117. #2014C22semidirect
118. #2011C22semidirect
119. #2011C22semidirect
120. #2011C22semidirect
122. #2000C22semidirect
123. #2000C22semidirect
124. #2000C22semidirect
125. #2000C22semidirect
126. #2000C22semidirect
127. #2000C22semidirect
128. #2000C22semidirect
130. #1999C22semidirect
131. #1999C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1987C22semidirect
137. #1982C22semidirect
138. #1973C22semidirect
139. #1970C22semidirect
140. #1961C22semidirect
141. #1961C22semidirect
142. #1955C22semidirect
143. #1954C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1934C22semidirect
148. #1925C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1924C22semidirect
153. #1923C22semidirect
154. #1921C22semidirect
155. #1918C22semidirect
158. #1895C22semidirect
159. #1895C22semidirect
160. #1893C22semidirect
161. #1892C22semidirect
162. #1880C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1877C22semidirect
169. #1875C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1872C22semidirect
180. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1863C22semidirect
184. #1862C22semidirect
185. #1852C22semidirect
186. #1852C22semidirect
187. #1851C22semidirect
188. #1824C22semidirect
189. #1824C22semidirect
190. #1824C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1779C22semidirect
199. #1762C22semidirect
200. C4×#103C22semidirect
201. #1753C22semidirect
202. #1736C22semidirect
1088. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
#590242
#589972
#318512
#317362
#313922
#310162
#310042
#307012
#305192
#272732
#269472
#267372
#266592
#266442
#264262
#262152
#255692
#251172
#244242
#243702
#242522
#240022
#239692
#239202
#238602
#233912
#228632
#224232
#220362
#217642