Finite Group Databasebeta

← #7020241

Subgroups — #7020241

Order 512.

2097 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45258C211yesmaximal, characteristic, complemented
2#44868C211yesmaximal, characteristic, complemented
3#31863C211yesmaximal, characteristic, complemented
4#31850C211yesmaximal, characteristic, complemented
5#31728C211yesmaximal, characteristic, complemented
6#31400C211yesmaximal, characteristic, complemented
7#31032C211yesmaximal, characteristic, complemented
8#31005C211yesmaximal, characteristic, complemented
9#30725C211yesmaximal, characteristic, complemented
10#30544C211yesmaximal, characteristic, complemented
11#27262C211yesmaximal, characteristic, complemented
12#26946C211yesmaximal, characteristic, complemented
13#26737C211yesmaximal, characteristic, complemented
14#26674C211yesmaximal, characteristic, complemented
15#26644C211yesmaximal, characteristic, complemented
16#26427C211yesmaximal, characteristic, complemented
17#26226C211yesmaximal, characteristic, complemented
18#25580C211yesmaximal, characteristic, complemented
19#25129C211yesmaximal, characteristic, complemented
20#24450C211yesmaximal, characteristic, complemented
21#24371C211yesmaximal, characteristic, complemented
22#24259C211yesmaximal, characteristic, complemented
23#24013C211yesmaximal, characteristic, complemented
24#23979C211yesmaximal, characteristic, complemented
25#23929C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#22857C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#22035C211yesmaximal, characteristic, complemented
31#21772C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#556C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#489C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic
41C2×#480C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#464C2211yescharacteristic
44C2×#464C2211yescharacteristic, complemented
45C2×#452C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#440C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic
53C2×#418C2211yescharacteristic
54C2×#416C2211yescharacteristic, complemented
55C22×#102C2211yescharacteristic
56C2×#408C2211yescharacteristic, complemented
57#2714—21no—
58#2702—21no—
59#2691—21no—
60#2678—21no—
61#2676—21no—
62#2672—21no—
63#2669—21no—
64#2668—21no—
65#2559—21no—
66#2555—21no—
67#2540C2211yescharacteristic
68#2538C2211yescharacteristic, complemented
69#2500C2211yescharacteristic, complemented
70#2491C2211yescharacteristic, complemented
71#2472—21no—
72#2465—21no—
73#2440C2211yescharacteristic, complemented
74#2435C2211yescharacteristic
75#2431C2211yescharacteristic
76#2428—21no—
77#2428C2211yescharacteristic
78#2427C2211yescharacteristic
79#2426—21no—
80#2421C2211yescharacteristic, complemented
81#2416C2211yescharacteristic
82#2416C2211yescharacteristic, complemented
83#2415C2211yescharacteristic
84#2414C2211yescharacteristic, complemented
85#2410—21no—
86#2408—21no—
87#2408C2211yescharacteristic
88#2407C2211yescharacteristic
89#2388C2211yescharacteristic
90#2363C2211yescharacteristic
91#2361C2211yescharacteristic
92#2360C2211yescharacteristic, complemented
93#2352C2211yescharacteristic
94#2341C2211yescharacteristic, complemented
95#2311C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2074C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic, complemented
107#2042C2211yescharacteristic
108#2042C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2033C2211yescharacteristic
114#2033C2211yescharacteristic
115#2023C2211yescharacteristic
116#2023C2211yescharacteristic, complemented
117#2014C2211yescharacteristic
118#2012C2211yescharacteristic
119#2012C2211yescharacteristic, complemented
120#2011C2211yescharacteristic
121#2001C2211yescharacteristic, complemented
122#2001C2211yescharacteristic, complemented
123#2000C2211yescharacteristic
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic, complemented
127#2000C2211yescharacteristic, complemented
128#2000C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1982C2211yescharacteristic
138#1972C2211yescharacteristic, complemented
139#1971C2211yescharacteristic, complemented
140#1961C2211yescharacteristic
141#1959C2211yescharacteristic
142#1955C2211yescharacteristic, complemented
143#1955C2211yescharacteristic, complemented
144#1936C2211yescharacteristic
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1924C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1921C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic
158#1894C2211yescharacteristic, complemented
159#1894C2211yescharacteristic, complemented
160#1893C2211yescharacteristic
161#1892C2211yescharacteristic, complemented
162#1880C2211yescharacteristic
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic, complemented
167#1877C2211yescharacteristic
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1873C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1804C2211yescharacteristic
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#556—42no—
224#556—42no—
225#546—42no—
226#546—42no—
227D42—24no—
228D42—42no—
229#537—24no—
230#537—42no—
231#537—42no—
232#537—42no—
233#535—42no—
234#535—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#126—21no—
239C2×#126—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#123—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×C4×Q8—21no—
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C22⋊C4—21no—
298#489—42no—
299#481—42no—
300#480—42no—
301#468—42no—
302#464—42no—
303#464—42no—
304#452—42no—
305#452—42no—
306#450—42no—
307#449—24no—
308#449—42no—
309#447—42no—
310#440—42no—
311#435—42no—
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319#418—42no—
320#416—42no—
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#102—42no—
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
354#408—42no—
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×#97C2311yescharacteristic
370C2×#97C2311yescharacteristic
371#400—21no—
372#399—21no—
373#398—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#395—21no—
382#395D411yescharacteristic
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394D411yescharacteristic
397#394D411yescharacteristic
398#394D411yescharacteristic
399#393—21no—
400#393D411yescharacteristic
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392D411yescharacteristic
409#392D411yescharacteristic
410#392D411yescharacteristic
411#391—21no—
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#389—21no—
429#389—21no—
430#389—21no—
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#387—21no—
445#387—21no—
446#387—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#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#384C2311yescharacteristic
464#382C2311yescharacteristic
465#380—21no—
466#380—21no—
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485#340C2311yescharacteristic
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#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511C25—21no—
512C25—21no—
513C2×#41—22no—
514C2×#41—22no—
515C2×#41—22no—
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C22×Q8—21no—
532C22×Q8C2×D411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×Q8C2411yescharacteristic
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
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—22no—
555C22×D4—22no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—44no—
564C22×D4—82no—
565C22×D4—82no—
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2×D411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587AGL(1,ℤ/8)—416no—
588C2×Q16—22no—
589C2×Q16—41no—
590C2×Q16—41no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×M16—22no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C22×C8—22no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—22no—
630C4⋊Q8—41no—
631#127—22no—
632#127—41no—
633#127—44no—
634#126—44no—
635#126—44no—
636#124—22no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—44no—
641#124—44no—
642#124—82no—
643#123—44no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—44no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—44no—
658C22⋊Q8—82no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—44no—
668#121—44no—
669#121—44no—
670#121—44no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—44no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—41no—
685#121—41no—
686#121—82no—
687#121—82no—
688#121—82no—
689#121#4114yes—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—44no—
694#120—44no—
695#120—82no—
696C4×Q8—22no—
697C4×Q8—41no—
698C4×Q8—41no—
699C4×Q8—41no—
700C4×Q8—44no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—82no—
712#117—22no—
713#117—22no—
714#117—41no—
715#117—41no—
716#117—41no—
717#117—41no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4—41no—
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
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—44no—
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42C2411yescharacteristic
819C2×C42C2411yescharacteristic
820C2×C42C2411yescharacteristic
821#107—22no—
822#107—22no—
823#106—41no—
824#106—41no—
825C4⋊C8—41no—
826C4⋊C8—41no—
827C4⋊C8—41no—
828#103—22no—
829#103—22no—
830#103—22no—
831#103—41no—
832#103—41no—
833#103—41no—
834#103—41no—
835#103—41no—
836#103—41no—
837#103—41no—
838#102—22no—
839#102—22no—
840#102—22no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860C22⋊C8—22no—
861C22⋊C8—22no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
872C22⋊C8—41no—
873#97—41no—
874#97—41no—
875#97—41no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—42no—
905C24—42no—
906C24—42no—
907C24—42no—
908C24—42no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920C24C22×D411yescharacteristic
921C24C22×D411yescharacteristic
922#41—44no—
923#41—44no—
924#41—82no—
925#41—82no—
926#41—82no—
927#41—82no—
928#41—82no—
929#41—82no—
930#41—82no—
931#41—82no—
932#41—82no—
933#41—82no—
934C2×Q8—22no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—41no—
947C2×Q8—41no—
948C2×Q8—42no—
949C2×Q8—42no—
950C2×Q8—81no—
951C2×Q8H(5,𝔽2)12yes—
952C2×D4—22no—
953C2×D4—24no—
954C2×D4—24no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—44no—
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—82no—
1017C2×D4—82no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—816no—
1049C2×D4C2×#4112yes—
1050C2×D4H(5,𝔽2)12yes—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4—81no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C2×#4112yes—
1117C22×C4H(5,𝔽2)12yes—
1118C22×C4C2511yescharacteristic
1119Q16—82no—
1120SD16—44no—
1121SD16—44no—
1122SD16—44no—
1123SD16—82no—
1124D8—44no—
1125D8—44no—
1126D8—82no—
1127M16—44no—
1128M16—82no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—82no—
1154C4⋊C4—24no—
1155C4⋊C4—22no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4C2×#4112yes—
1193C4⋊C4H(5,𝔽2)12yes—
1194C4⋊C4H(5,𝔽2)12yes—
1195C22⋊C4—24no—
1196C22⋊C4—24no—
1197C22⋊C4—22no—
1198C22⋊C4—24no—
1199C22⋊C4—22no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—42no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—81no—
1261C42—81no—
1262C42—81no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—22no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—22no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—84no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23#54612yes—
1333C23C23×D411yescharacteristic
1334Q8—22no—
1335Q8—22no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—82no—
1343Q8—84no—
1344D4—22no—
1345D4—22no—
1346D4—22no—
1347D4—22no—
1348D4—44no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—82no—
1362D4—84no—
1363D4—82no—
1364D4—82no—
1365D4—84no—
1366D4—84no—
1367D4—84no—
1368D4—82no—
1369D4—82no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—84no—
1464C2×C4—84no—
1465C2×C4—84no—
1466C2×C4—162no—
1467C2×C4—162no—
1468C2×C4—162no—
1469C2×C4—162no—
1470C2×C4#54612yes—
1471C2×C4C22×#4111yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—42no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—42no—
1500C22—42no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—42no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—42no—
1518C22—41no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—168no—
1542C22—168no—
1543C22C2×#54611yescharacteristic
1544C22#348411yescharacteristic
1545C22#348411yescharacteristic
1546C22#358511yescharacteristic
1547C22#358511yescharacteristic
1548C22#358511yescharacteristic
1549C22#358611yescharacteristic
1550C4—22no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—81no—
1565C4—81no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4#351911yescharacteristic
1573C4#351911yescharacteristic
1574C4#353211yescharacteristic
1575C4#354311yescharacteristic
1576C2—42no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—82no—
1581C2—82no—
1582C2—161no—
1583C2—161no—
1584C2#4309511yescharacteristic
1585C2#6117511yescharacteristic
1586C2#6122211yescharacteristic
1587C2#6165311yescharacteristic
1588C2#6165411yescharacteristic
1589C2#6166911yescharacteristic
1590C2#6167111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45258C2semidirect
2. #44868C2semidirect
3. #31863C2semidirect
4. #31850C2semidirect
5. #31728C2semidirect
6. #31400C2semidirect
7. #31032C2semidirect
8. #31005C2semidirect
9. #30725C2semidirect
10. #30544C2semidirect
11. #27262C2semidirect
12. #26946C2semidirect
13. #26737C2semidirect
14. #26674C2semidirect
15. #26644C2semidirect
16. #26427C2semidirect
17. #26226C2semidirect
18. #25580C2semidirect
19. #25129C2semidirect
20. #24450C2semidirect
21. #24371C2semidirect
22. #24259C2semidirect
23. #24013C2semidirect
24. #23979C2semidirect
25. #23929C2semidirect
26. #23860C2semidirect
27. #23393C2semidirect
28. #22857C2semidirect
29. #22423C2semidirect
30. #22035C2semidirect
31. #21772C2semidirect
33. C2×#556C22semidirect
37. C2×#537C22semidirect
39. C2×#489C22semidirect
41. C2×#480C22semidirect
42. C2×#468C22semidirect
44. C2×#464C22semidirect
45. C2×#452C22semidirect
46. C2×#452C22semidirect
48. C2×#449C22semidirect
51. C2×#440C22semidirect
54. C2×#416C22semidirect
56. C2×#408C22semidirect
68. #2538C22semidirect
69. #2500C22semidirect
70. #2491C22semidirect
73. #2440C22semidirect
80. #2421C22semidirect
82. #2416C22semidirect
84. #2414C22semidirect
92. #2360C22semidirect
94. #2341C22semidirect
95. #2311C22semidirect
96. #2101C22semidirect
97. #2099C22semidirect
98. #2088C22semidirect
99. #2077C22semidirect
100. #2074C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2065C22semidirect
104. #2055C22semidirect
106. #2054C22semidirect
108. #2042C22semidirect
109. #2036C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
116. #2023C22semidirect
119. #2012C22semidirect
121. #2001C22semidirect
122. #2001C22semidirect
126. #2000C22semidirect
127. #2000C22semidirect
128. #2000C22semidirect
129. #2000C22semidirect
133. #1999C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1987C22semidirect
138. #1972C22semidirect
139. #1971C22semidirect
142. #1955C22semidirect
143. #1955C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1936C22semidirect
148. #1927C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1924C22semidirect
153. #1924C22semidirect
154. #1921C22semidirect
155. #1921C22semidirect
158. #1894C22semidirect
159. #1894C22semidirect
161. #1892C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
166. #1879C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1873C22semidirect
176. #1873C22semidirect
177. #1872C22semidirect
178. #1872C22semidirect
179. #1872C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1865C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1851C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1823C22semidirect
192. #1802C22semidirect
193. #1788C22semidirect
194. #1788C22semidirect
198. #1780C22semidirect
199. #1763C22semidirect
201. #1752C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#452582
#448682
#318632
#318502
#317282
#314002
#310322
#310052
#307252
#305442
#272622
#269462
#267372
#266742
#266442
#264272
#262262
#255802
#251292
#244502
#243712
#242592
#240132
#239792
#239292
#238602
#233932
#228572
#224232
#220352
#217722