Finite Group Databasebeta

← #7561884

Subgroups — #7561884

Order 512.

2339 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×#3301C211yesmaximal, characteristic, complemented
2C2×#3062C211yesmaximal, characteristic, complemented
3#45244C211yesmaximal, characteristic, complemented
4#45105C211yesmaximal, characteristic, complemented
5#30936C211yesmaximal, characteristic, complemented
6#30719C211yesmaximal, characteristic, complemented
7#30619C211yesmaximal, characteristic, complemented
8#30415C211yesmaximal, characteristic, complemented
9#28912C211yesmaximal, characteristic, complemented
10#28551C211yesmaximal, characteristic, complemented
11#28337C211yesmaximal, characteristic, complemented
12#27259C211yesmaximal, characteristic, complemented
13#26959C211yesmaximal, characteristic, complemented
14#26362C211yesmaximal, characteristic, complemented
15#26143C211yesmaximal, characteristic, complemented
16#25550C211yesmaximal, characteristic, complemented
17#25384C211yesmaximal, characteristic, complemented
18#25224C211yesmaximal, characteristic, complemented
19#25114C211yesmaximal, characteristic, complemented
20#25108C211yesmaximal, characteristic, complemented
21#25092C211yesmaximal, characteristic, complemented
22#24441C211yesmaximal, characteristic, complemented
23#24366C211yesmaximal, characteristic, complemented
24#24017C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23866C211yesmaximal, characteristic, complemented
27#23126C211yesmaximal, characteristic, complemented
28#22874C211yesmaximal, characteristic, complemented
29#22416C211yesmaximal, characteristic, complemented
30#21442C211yesmaximal, characteristic, complemented
31#20976C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#131C2211yescharacteristic
34C2×#553C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#548C2211yescharacteristic, complemented
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3301—28no—
41C2×#488C2211yescharacteristic, complemented
42C2×#481C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#479C2211yescharacteristic, complemented
46#3062—28no—
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#448C2211yescharacteristic
61C2×#448C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×C4×SD16C2211yescharacteristic
65C2×C8×D4C2211yescharacteristic
66C2×C8×D4C2211yescharacteristic, complemented
67C2×C8×D4C2211yescharacteristic, complemented
68C2×#428C2211yescharacteristic
69C2×#417C2211yescharacteristic, complemented
70C2×#416C2211yescharacteristic
71C2×#416C2211yescharacteristic, complemented
72C22×#103C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74#2715—21no—
75#2709—21no—
76#2685—21no—
77#2683—21no—
78#2676—21no—
79#2676—21no—
80#2675—21no—
81#2668—21no—
82#2555—21no—
83#2541C2211yescharacteristic, complemented
84#2537C2211yescharacteristic
85#2534—21no—
86#2500C2211yescharacteristic
87#2490C2211yescharacteristic
88#2463—21no—
89#2459—21no—
90#2441C2211yescharacteristic
91#2431C2211yescharacteristic
92#2431C2211yescharacteristic, complemented
93#2428—21no—
94#2428—21no—
95#2428—21no—
96#2426C2211yescharacteristic, complemented
97#2426C2211yescharacteristic, complemented
98#2424—21no—
99#2420C2211yescharacteristic
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic
102#2416C2211yescharacteristic
103#2416C2211yescharacteristic, complemented
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic
106#2388C2211yescharacteristic
107#2361C2211yescharacteristic
108#2360C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110#2352C2211yescharacteristic
111D4×C22⋊C4C2211yescharacteristic
112#2311C2211yescharacteristic
113#2095C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2086C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2075C2211yescharacteristic, complemented
118#2072C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2066C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2011C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1983C2211yescharacteristic, complemented
146#1970C2211yescharacteristic
147#1968C2211yescharacteristic
148#1958C2211yescharacteristic, complemented
149#1957C2211yescharacteristic, complemented
150#1947C2211yescharacteristic, complemented
151#1934C2211yescharacteristic
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1926C2211yescharacteristic
156#1926C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic, complemented
161#1894C2211yescharacteristic
162#1894C2211yescharacteristic, complemented
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic
172#1879C2211yescharacteristic
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1875C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1873C2211yescharacteristic
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1863C2211yescharacteristic, complemented
187#1853C2211yescharacteristic
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic
190#1851C2211yescharacteristic
191#1851C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1787C2211yescharacteristic, complemented
197#1780C2211yescharacteristic
198C4×#103C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic
200C8×C22⋊C4C2211yescharacteristic
201C8×C22⋊C4C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C2×#131—24no—
222C2×#131—42no—
223C2×#131—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#553—24no—
232#553—42no—
233#548—24no—
234#548—24no—
235#548—42no—
236#548—42no—
237#537—24no—
238#537—24no—
239#537—42no—
240#537—42no—
241#535—24no—
242#535—42no—
243C2×#127—21no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125C2311yescharacteristic
248C2×#124—21no—
249C2×#124—21no—
250C2×#124—21no—
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#123—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309#488—24no—
310#485—24no—
311#482—42no—
312#481—24no—
313#479—24no—
314#469—24no—
315#469—24no—
316#468—24no—
317#468—24no—
318#466—24no—
319#466—24no—
320#466—24no—
321#465—24no—
322#465D418yescomplemented
323#463—24no—
324#459—42no—
325#450—24no—
326#449—24no—
327#449—42no—
328#448—24no—
329#448—42no—
330#447—42no—
331C4×SD16—24no—
332C8×D4—24no—
333C8×D4—42no—
334C8×D4—42no—
335#428—24no—
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347#417—42no—
348#416—24no—
349#416—24no—
350C2×#103—24no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#102—24no—
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×#102C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#399—21no—
397#397—21no—
398#397—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#395—21no—
407#395D411yescharacteristic
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
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#394D411yescharacteristic
422#394D411yescharacteristic
423#394D411yescharacteristic
424#393—21no—
425#393D411yescharacteristic
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392D411yescharacteristic
434#392D411yescharacteristic
435#392D411yescharacteristic
436#391—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
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#389—21no—
451#389—21no—
452#389—21no—
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—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#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#384C2311yescharacteristic
489#382C2311yescharacteristic
490#381—21no—
491#380—21no—
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
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—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C22×Q8—21no—
550C22×Q8—22no—
551C22×Q8—22no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8—41no—
555C22×Q8—41no—
556C22×Q8C2×D411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
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—22no—
578C22×D4—22no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
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×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605AGL(1,ℤ/8)—416no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16C2×D414yes—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630#131—416no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—22no—
637C2×M16—41no—
638C2×M16—41no—
639C2×M16—41no—
640C22×C8—22no—
641C22×C8—22no—
642C22×C8—22no—
643C22×C8—22no—
644C22×C8—22no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8C2×D414yes—
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660#127—41no—
661#127—41no—
662#127—44no—
663#127—82no—
664#126—44no—
665#125—22no—
666#125—41no—
667#124—22no—
668#124—22no—
669#124—41no—
670#124—41no—
671#124—44no—
672#124—44no—
673#124—44no—
674#123—44no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—44no—
680C22⋊Q8—44no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—44no—
684C22⋊Q8—44no—
685C22⋊Q8C2×D414yes—
686C22⋊Q8#4114yes—
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—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—44no—
715#121—44no—
716#121—44no—
717#121—41no—
718#121—41no—
719#121—82no—
720#121—82no—
721#121—82no—
722#121—82no—
723#121—82no—
724#121C2×D414yes—
725#120—44no—
726#120—44no—
727#120—82no—
728C4×Q8—22no—
729C4×Q8—22no—
730C4×Q8—41no—
731C4×Q8—41no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743C4×D4—44no—
744C4×D4—44no—
745C4×D4—82no—
746#117—22no—
747#117—22no—
748#117—22no—
749#117—41no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
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—41no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
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—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—22no—
855#107—22no—
856#107—41no—
857#106—22no—
858#106—22no—
859#106—41no—
860#106C2×D414yes—
861C4⋊C8—22no—
862C4⋊C8—22no—
863C4⋊C8—41no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—41no—
872#103—41no—
873#103—41no—
874#103—41no—
875#103C2×D414yes—
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—22no—
885#102—22no—
886#102—22no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102C2×D414yes—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C4×C8—22no—
906C4×C8—41no—
907C4×C8—41no—
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—42no—
937C24—42no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24C22×D411yescharacteristic
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947#41—44no—
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—
959C2×Q8—22no—
960C2×Q8—22no—
961C2×Q8—21no—
962C2×Q8—21no—
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—41no—
972C2×Q8—42no—
973C2×Q8—42no—
974C2×Q8—44no—
975C2×Q8—81no—
976C2×Q8—82no—
977C2×Q8—82no—
978C2×Q8—82no—
979C2×Q8C22×D412yes—
980C2×Q8C2×#4112yes—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—24no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
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—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
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—82no—
1047C2×D4—82no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
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—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4C22×D412yes—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
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—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
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—81no—
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×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D412yes—
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C2×#4112yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4C2511yescharacteristic
1152SD16—44no—
1153SD16—44no—
1154SD16—44no—
1155SD16—82no—
1156D8—44no—
1157D8—44no—
1158D8—82no—
1159D8—82no—
1160M16—28no—
1161M16—44no—
1162M16—44no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
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—44no—
1185C2×C8—44no—
1186C2×C8—44no—
1187C2×C8—82no—
1188C2×C8C22×D412yes—
1189C2×C8C22×D412yes—
1190C2×C8H(5,𝔽2)12yes—
1191C4⋊C4—24no—
1192C4⋊C4—22no—
1193C4⋊C4—24no—
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—21no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4—81no—
1229C4⋊C4C22×D412yes—
1230C4⋊C4C22×D412yes—
1231C4⋊C4C2×#4112yes—
1232C22⋊C4—24no—
1233C22⋊C4—22no—
1234C22⋊C4—24no—
1235C22⋊C4—22no—
1236C22⋊C4—24no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
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—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
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—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—81no—
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—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—22no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
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—84no—
1352C23—84no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23D4212yes—
1359C23#54612yes—
1360C23#57612yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—22no—
1365Q8—22no—
1366Q8—44no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—84no—
1372D4—22no—
1373D4—22no—
1374D4—44no—
1375D4—44no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—44no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—162no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
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—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—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—84no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—162no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4—162no—
1499C2×C4D4212yes—
1500C2×C4#54612yes—
1501C2×C4#57712yes—
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—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
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
1574C22C2×#54611yescharacteristic
1575C22#349611yescharacteristic
1576C22C2×#57611yescharacteristic
1577C22C2×#57711yescharacteristic
1578C22#358411yescharacteristic
1579C22#358411yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4D4×#4111yescharacteristic
1603C4#348411yescharacteristic
1604C4#351911yescharacteristic
1605C4#353411yescharacteristic
1606C2—42no—
1607C2—42no—
1608C2—42no—
1609C2—81no—
1610C2—82no—
1611C2—161no—
1612C2—161no—
1613C2—161no—
1614C2#5912311yescharacteristic
1615C2#6105611yescharacteristic
1616C2#6108511yescharacteristic
1617C2#6117111yescharacteristic
1618C2#6121311yescharacteristic
1619C2#6228011yescharacteristic
1620C2#6234411yescharacteristic
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. C2×#3301C2semidirect
2. C2×#3062C2semidirect
3. #45244C2semidirect
4. #45105C2semidirect
5. #30936C2semidirect
6. #30719C2semidirect
7. #30619C2semidirect
8. #30415C2semidirect
9. #28912C2semidirect
10. #28551C2semidirect
11. #28337C2semidirect
12. #27259C2semidirect
13. #26959C2semidirect
14. #26362C2semidirect
15. #26143C2semidirect
16. #25550C2semidirect
17. #25384C2semidirect
18. #25224C2semidirect
19. #25114C2semidirect
20. #25108C2semidirect
21. #25092C2semidirect
22. #24441C2semidirect
23. #24366C2semidirect
24. #24017C2semidirect
25. #23924C2semidirect
26. #23866C2semidirect
27. #23126C2semidirect
28. #22874C2semidirect
29. #22416C2semidirect
30. #21442C2semidirect
31. #20976C2semidirect
36. C2×#548C22semidirect
41. C2×#488C22semidirect
42. C2×#481C22semidirect
43. C2×#485C22semidirect
44. C2×#482C22semidirect
45. C2×#479C22semidirect
66. C2×C8×D4C22semidirect
67. C2×C8×D4C22semidirect
69. C2×#417C22semidirect
71. C2×#416C22semidirect
72. C22×#103C22semidirect
83. #2541C22semidirect
92. #2431C22semidirect
96. #2426C22semidirect
97. #2426C22semidirect
103. #2416C22semidirect
104. #2409C22semidirect
109. #2360C22semidirect
113. #2095C22semidirect
114. #2092C22semidirect
115. #2086C22semidirect
116. #2085C22semidirect
117. #2075C22semidirect
118. #2072C22semidirect
120. #2066C22semidirect
121. #2059C22semidirect
125. #2042C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
145. #1983C22semidirect
148. #1958C22semidirect
149. #1957C22semidirect
150. #1947C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
156. #1926C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
160. #1895C22semidirect
162. #1894C22semidirect
165. #1893C22semidirect
166. #1893C22semidirect
168. #1892C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
181. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
186. #1863C22semidirect
188. #1853C22semidirect
191. #1851C22semidirect
192. #1851C22semidirect
193. #1805C22semidirect
196. #1787C22semidirect
198. C4×#103C22semidirect
201. C8×C22⋊C4C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
322. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33012
C2×#30622
#452442
#451052
#309362
#307192
#306192
#304152
#289122
#285512
#283372
#272592
#269592
#263622
#261432
#255502
#253842
#252242
#251142
#251082
#250922
#244412
#243662
#240172
#239242
#238662
#231262
#228742
#224162
#214422
#209762