Finite Group Databasebeta

← #7561760

Subgroups — #7561760

Order 512.

2335 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3309C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3#45010C211yesmaximal, characteristic, complemented
4#36029C211yesmaximal, characteristic, complemented
5#30890C211yesmaximal, characteristic, complemented
6#30749C211yesmaximal, characteristic, complemented
7#30576C211yesmaximal, characteristic, complemented
8#30400C211yesmaximal, characteristic, complemented
9#28914C211yesmaximal, characteristic, complemented
10#28584C211yesmaximal, characteristic, complemented
11#28325C211yesmaximal, characteristic, complemented
12#27247C211yesmaximal, characteristic, complemented
13#26939C211yesmaximal, characteristic, complemented
14#26399C211yesmaximal, characteristic, complemented
15#26181C211yesmaximal, characteristic, complemented
16#25537C211yesmaximal, characteristic, complemented
17#25421C211yesmaximal, characteristic, complemented
18#25250C211yesmaximal, characteristic, complemented
19#25168C211yesmaximal, characteristic, complemented
20#25155C211yesmaximal, characteristic, complemented
21#25123C211yesmaximal, characteristic, complemented
22#24444C211yesmaximal, characteristic, complemented
23#24427C211yesmaximal, characteristic, complemented
24#24045C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23124C211yesmaximal, characteristic, complemented
28#22857C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#21464C211yesmaximal, characteristic, complemented
31#20937C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#553C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#520C2211yescharacteristic, complemented
40#3309—28no—
41#3268—28no—
42C2×#496C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#479C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic
54C2×#459C2211yescharacteristic
55C2×#459C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#442C2211yescharacteristic
66C2×#440C2211yescharacteristic
67C2×#440C2211yescharacteristic
68C2×C4×SD16C2211yescharacteristic
69C2×#435C2211yescharacteristic
70C2×#435C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic
72C2×#417C2211yescharacteristic, complemented
73C2×#416C2211yescharacteristic, complemented
74#2706—21no—
75#2695—21no—
76#2688—21no—
77#2678—21no—
78#2619—21no—
79#2619C2211yescharacteristic, complemented
80#2541—21no—
81#2541C2211yescharacteristic, complemented
82#2535—21no—
83#2535C2211yescharacteristic
84#2489C2211yescharacteristic
85#2486C2211yescharacteristic
86#2480—21no—
87#2454C2211yescharacteristic
88#2447C2211yescharacteristic
89#2428—21no—
90#2428—21no—
91#2428C2211yescharacteristic
92#2428C2211yescharacteristic, complemented
93#2427C2211yescharacteristic
94#2420—21no—
95#2418—21no—
96#2416—21no—
97#2416—21no—
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic, complemented
100#2415C2211yescharacteristic
101#2412—21no—
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2392—21no—
105#2392C2211yescharacteristic
106#2363C2211yescharacteristic
107#2351C2211yescharacteristic, complemented
108#2341C2211yescharacteristic
109#2341C2211yescharacteristic, complemented
110D4×C22⋊C4C2211yescharacteristic
111#2324C2211yescharacteristic
112#2311C2211yescharacteristic
113#2097C2211yescharacteristic, complemented
114#2092C2211yescharacteristic
115#2087C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2076C2211yescharacteristic
118#2073C2211yescharacteristic
119#2065C2211yescharacteristic
120#2065C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2042C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2035C2211yescharacteristic
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic
133#2025C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1973C2211yescharacteristic, complemented
146#1972C2211yescharacteristic
147#1972C2211yescharacteristic
148#1970C2211yescharacteristic
149#1968C2211yescharacteristic, complemented
150#1944C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic, complemented
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic
189#1864C2211yescharacteristic
190#1864C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1809C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C2×#340C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×#135—24no—
214C2×#135—24no—
215C2×#135—42no—
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#553—24no—
233#553—42no—
234#550—24no—
235#550—24no—
236#550—42no—
237#550—42no—
238#550—42no—
239#550—42no—
240#546—24no—
241#546—42no—
242C2×#127—21no—
243C2×#127—21no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#126—21no—
249C2×#125C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×#123—21no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#120—21no—
280C2×#120—21no—
281#520—42no—
282#520—42no—
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×#117—21no—
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4—21no—
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C22⋊C4—21no—
308C22×C22⋊C4—21no—
309#496—24no—
310#490—24no—
311#482—24no—
312#481—42no—
313#480—24no—
314#479—24no—
315#469—24no—
316#468—24no—
317#466—24no—
318#466—24no—
319#465—42no—
320#464—24no—
321#459—24no—
322#459—24no—
323#452—24no—
324#452—42no—
325#449—24no—
326#449—24no—
327#449—24no—
328#449—42no—
329#449D418yescomplemented
330#447—24no—
331#447—42no—
332#442—42no—
333#440—24no—
334#440—24no—
335C4×SD16—42no—
336#435—24no—
337#435—24no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#417—24no—
349#417—42no—
350#416—24no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395#400—21no—
396#399—21no—
397#398—21no—
398#398D411yescharacteristic
399#397—21no—
400#397—21no—
401#397—21no—
402#397—21no—
403#397—21no—
404#397—21no—
405#397—21no—
406#397D411yescharacteristic
407#396—21no—
408#396—21no—
409#396—21no—
410#396D411yescharacteristic
411#396D411yescharacteristic
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394D411yescharacteristic
423#394D411yescharacteristic
424#394D411yescharacteristic
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392D411yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#389—21no—
453#389—21no—
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#382—21no—
483#382—21no—
484#382C2311yescharacteristic
485#381—21no—
486#381—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500C4×C4⋊C4—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41C2×D414yes—
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605AGL(1,ℤ/8)—416no—
606#135—416no—
607C2×Q16—22no—
608C2×Q16—22no—
609C2×Q16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16C2×D414yes—
624C2×SD16#4114yes—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—22no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8C2×D414yes—
643C2×M16—22no—
644C2×M16—22no—
645C2×M16—22no—
646C2×M16—41no—
647C2×M16—41no—
648C2×M16—41no—
649C22×C8—22no—
650C22×C8—22no—
651C22×C8—22no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8—41no—
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663#127—22no—
664#127—22no—
665#127—41no—
666#127—41no—
667#127—41no—
668#127—41no—
669#127—44no—
670#127—44no—
671#127—44no—
672#126—44no—
673#125—22no—
674#125—41no—
675#124—22no—
676#124—41no—
677#123—44no—
678#123—44no—
679#123—82no—
680C22⋊Q8—22no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
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—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—82no—
710#121—82no—
711#121—82no—
712#121—82no—
713#121—82no—
714#121—82no—
715#121C2×D414yes—
716#120—44no—
717#120—82no—
718C4×Q8—22no—
719C4×Q8—22no—
720C4×Q8—22no—
721C4×Q8—22no—
722C4×Q8—22no—
723C4×Q8—41no—
724C4×Q8—41no—
725C4×Q8—41no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—44no—
741C4×D4—44no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—44no—
745C4×D4—44no—
746C4×D4—44no—
747C4×D4—44no—
748#117—22no—
749#117—41no—
750#117—41no—
751#117—44no—
752#117—41no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4—44no—
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—44no—
830C2×C22⋊C4—82no—
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42C2411yescharacteristic
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—22no—
855#107—22no—
856#106—22no—
857#106—22no—
858#106—41no—
859#106—41no—
860#106—41no—
861C4⋊C8—22no—
862C4⋊C8—22no—
863#103—22no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—41no—
870#103—41no—
871#103C2×D414yes—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
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#102C2×D414yes—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8C2×D414yes—
903#97—22no—
904#97—22no—
905#97—41no—
906C4×C8—41no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947#41—28no—
948#41—44no—
949#41—44no—
950#41—44no—
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8C22×D412yes—
973C2×Q8C2×#4112yes—
974C2×Q8H(5,𝔽2)12yes—
975C2×D4—24no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—24no—
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—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
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—42no—
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—44no—
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—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—82no—
1054C2×D4—82no—
1055C2×D4—82no—
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—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4C22×D412yes—
1076C2×D4C22×D412yes—
1077C2×D4C2×#4112yes—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—24no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
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—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4—81no—
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D412yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4C2511yescharacteristic
1152Q16—44no—
1153SD16—28no—
1154SD16—28no—
1155SD16—44no—
1156SD16—82no—
1157SD16—82no—
1158D8—44no—
1159D8—44no—
1160D8—44no—
1161D8—44no—
1162D8—82no—
1163D8—82no—
1164M16—44no—
1165M16—82no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—44no—
1188C2×C8—82no—
1189C2×C8C22×D412yes—
1190C2×C8C22×D412yes—
1191C2×C8C2×#4112yes—
1192C4⋊C4—24no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4—81no—
1229C4⋊C4—81no—
1230C4⋊C4C22×D412yes—
1231C4⋊C4H(5,𝔽2)12yes—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—24no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C42—24no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—21no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—42no—
1297C42—81no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—22no—
1313C23—21no—
1314C23—21no—
1315C23—22no—
1316C23—22no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
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—84no—
1354C23—84no—
1355C23—84no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23D4212yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—22no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8#54614yes—
1370D4—22no—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—22no—
1376D4—48no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—84no—
1392D4—84no—
1393D4—82no—
1394D4—82no—
1395D4—84no—
1396D4—82no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—48no—
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—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4—162no—
1499C2×C4—162no—
1500C2×C4—162no—
1501C2×C4D4212yes—
1502C2×C4C23×D411yescharacteristic
1503C2×C4C22×#4111yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C2×C4C2×H(5,𝔽2)11yescharacteristic
1507C2×C4#58511yescharacteristic
1508C8—22no—
1509C8—22no—
1510C8—22no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—42no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—168no—
1573C22C2×D4211yescharacteristic
1574C22D4×#4111yescharacteristic
1575C22#348411yescharacteristic
1576C22#358411yescharacteristic
1577C22#358511yescharacteristic
1578C22#358511yescharacteristic
1579C22#358511yescharacteristic
1580C4—22no—
1581C4—24no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—41no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4C2×#54611yescharacteristic
1603C4#349611yescharacteristic
1604C4#351911yescharacteristic
1605C4#353411yescharacteristic
1606C2—42no—
1607C2—81no—
1608C2—81no—
1609C2—82no—
1610C2—82no—
1611C2—82no—
1612C2—161no—
1613C2—161no—
1614C2#5912311yescharacteristic
1615C2#6106311yescharacteristic
1616C2#6107411yescharacteristic
1617C2#6150711yescharacteristic
1618C2#6153111yescharacteristic
1619C2#6161611yescharacteristic
1620C2#6167511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3309C2semidirect
2. C2×#3268C2semidirect
3. #45010C2semidirect
4. #36029C2semidirect
5. #30890C2semidirect
6. #30749C2semidirect
7. #30576C2semidirect
8. #30400C2semidirect
9. #28914C2semidirect
10. #28584C2semidirect
11. #28325C2semidirect
12. #27247C2semidirect
13. #26939C2semidirect
14. #26399C2semidirect
15. #26181C2semidirect
16. #25537C2semidirect
17. #25421C2semidirect
18. #25250C2semidirect
19. #25168C2semidirect
20. #25155C2semidirect
21. #25123C2semidirect
22. #24444C2semidirect
23. #24427C2semidirect
24. #24045C2semidirect
25. #23869C2semidirect
26. #23857C2semidirect
27. #23124C2semidirect
28. #22857C2semidirect
29. #22443C2semidirect
30. #21464C2semidirect
31. #20937C2semidirect
37. C2×#550C22semidirect
39. C2×#520C22semidirect
43. C2×#490C22semidirect
44. C2×#481C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
47. C2×#479C22semidirect
52. C2×#465C22semidirect
57. C2×#452C22semidirect
70. C2×#435C22semidirect
72. C2×#417C22semidirect
73. C2×#416C22semidirect
79. #2619C22semidirect
81. #2541C22semidirect
92. #2428C22semidirect
99. #2416C22semidirect
107. #2351C22semidirect
109. #2341C22semidirect
113. #2097C22semidirect
115. #2087C22semidirect
116. #2085C22semidirect
120. #2065C22semidirect
121. #2059C22semidirect
122. #2055C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
128. #2035C22semidirect
133. #2025C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
141. #2000C22semidirect
145. #1973C22semidirect
149. #1968C22semidirect
150. #1944C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
160. #1895C22semidirect
162. #1893C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
186. #1865C22semidirect
187. #1865C22semidirect
190. #1864C22semidirect
191. #1854C22semidirect
192. #1853C22semidirect
196. #1788C22semidirect
198. #1763C22semidirect
199. C4×#102C22semidirect
201. #1752C22semidirect
202. #1750C22semidirect
203. C2×#340C22semidirect
204. #1729C22semidirect
329. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#32682
#450102
#360292
#308902
#307492
#305762
#304002
#289142
#285842
#283252
#272472
#269392
#263992
#261812
#255372
#254212
#252502
#251682
#251552
#251232
#244442
#244272
#240452
#238692
#238572
#231242
#228572
#224432
#214642
#209372