Finite Group Databasebeta

← #7561910

Subgroups — #7561910

Order 512.

2356 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×#3322C211yesmaximal, characteristic, complemented
2C2×#3062C211yesmaximal, characteristic, complemented
3#45092C211yesmaximal, characteristic, complemented
4#44868C211yesmaximal, characteristic, complemented
5#30911C211yesmaximal, characteristic, complemented
6#30702C211yesmaximal, characteristic, complemented
7#30591C211yesmaximal, characteristic, complemented
8#30400C211yesmaximal, characteristic, complemented
9#28922C211yesmaximal, characteristic, complemented
10#28569C211yesmaximal, characteristic, complemented
11#28366C211yesmaximal, characteristic, complemented
12#27256C211yesmaximal, characteristic, complemented
13#26968C211yesmaximal, characteristic, complemented
14#26361C211yesmaximal, characteristic, complemented
15#26154C211yesmaximal, characteristic, complemented
16#25537C211yesmaximal, characteristic, complemented
17#25390C211yesmaximal, characteristic, complemented
18#25212C211yesmaximal, characteristic, complemented
19#25136C211yesmaximal, characteristic, complemented
20#25129C211yesmaximal, characteristic, complemented
21#25087C211yesmaximal, characteristic, complemented
22#24436C211yesmaximal, characteristic, complemented
23#24373C211yesmaximal, characteristic, complemented
24#24013C211yesmaximal, characteristic, complemented
25#23929C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23143C211yesmaximal, characteristic, complemented
28#22872C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#21445C211yesmaximal, characteristic, complemented
31#20976C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#131C2211yescharacteristic, complemented
34C2×#553C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40#3322—28no—
41C2×#488C2211yescharacteristic
42C2×#481C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#480C2211yescharacteristic
45C2×#478C2211yescharacteristic, complemented
46#3062—28no—
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×C4×D8C2211yescharacteristic, complemented
65C2×#436C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C2×#428C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic
71C2×#416C2211yescharacteristic, complemented
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74#2703—21no—
75#2699—21no—
76#2689—21no—
77#2688—21no—
78#2678—21no—
79#2672—21no—
80#2669—21no—
81#2668—21no—
82#2559—21no—
83#2540C2211yescharacteristic
84#2535C2211yescharacteristic, complemented
85#2503C2211yescharacteristic, complemented
86#2489C2211yescharacteristic, complemented
87#2488—21no—
88#2472—21no—
89#2444—21no—
90#2442C2211yescharacteristic, complemented
91#2435C2211yescharacteristic
92#2431C2211yescharacteristic
93#2428—21no—
94#2428C2211yescharacteristic
95#2427C2211yescharacteristic
96#2420—21no—
97#2420C2211yescharacteristic, complemented
98#2416C2211yescharacteristic
99#2415C2211yescharacteristic
100#2415C2211yescharacteristic, complemented
101#2415C2211yescharacteristic, complemented
102#2410—21no—
103#2408—21no—
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic
106#2388C2211yescharacteristic
107#2363C2211yescharacteristic
108#2363C2211yescharacteristic, complemented
109#2361C2211yescharacteristic
110#2352C2211yescharacteristic
111#2339C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2097C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2086C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2073C2211yescharacteristic
119#2068C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2042C2211yescharacteristic
126#2042C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic, complemented
136#2014C2211yescharacteristic
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1982C2211yescharacteristic
146#1971C2211yescharacteristic, complemented
147#1968C2211yescharacteristic, complemented
148#1961C2211yescharacteristic
149#1958C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1920C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1894C2211yescharacteristic, complemented
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1892C2211yescharacteristic, complemented
168#1892C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1780C2211yescharacteristic, complemented
198#1762C2211yescharacteristic
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C2×#131—24no—
223C2×#131—42no—
224C2×#131—42no—
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#553—24no—
233#553—42no—
234#546—24no—
235#546—42no—
236D42—24no—
237D42—42no—
238#537—24no—
239#537—24no—
240#537—42no—
241#537—42no—
242#535—24no—
243#535—42no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125C2311yescharacteristic
248C2×#124—21no—
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
271C2×#121—21no—
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304#488—24no—
305#485—24no—
306#481—42no—
307#480—24no—
308#478—24no—
309#469—24no—
310#469D418yescomplemented
311#468—24no—
312#468—24no—
313#468—24no—
314#466—24no—
315#466—24no—
316#465—24no—
317#465—24no—
318#463—24no—
319#463—42no—
320#452—42no—
321#452—42no—
322#450—42no—
323#449—24no—
324#449—24no—
325#447—24no—
326C4×D8—24no—
327#436—24no—
328#436—42no—
329#435—42no—
330#428—24no—
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#107C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—24no—
343#417—24no—
344#416—24no—
345#416—42no—
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#102—24no—
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391#400—21no—
392#400—21no—
393#400—21no—
394#400—21no—
395#399—21no—
396#398—21no—
397#397—21no—
398#397—21no—
399#397—21no—
400#397—21no—
401#397—21no—
402#397—21no—
403#397—21no—
404#396—21no—
405#395D411yescharacteristic
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394D411yescharacteristic
418#394D411yescharacteristic
419#394D411yescharacteristic
420#393D411yescharacteristic
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392D411yescharacteristic
429#392D411yescharacteristic
430#392D411yescharacteristic
431#391—21no—
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#389—21no—
446#389—21no—
447#389—21no—
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#387—21no—
461#386—21no—
462#386—21no—
463#386—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#382—21no—
482#382C2311yescharacteristic
483#382C2311yescharacteristic
484#381—21no—
485#381—21no—
486#381—21no—
487#381—21no—
488#380—21no—
489#380—21no—
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4C2311yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C2×#95—21no—
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—
531C25—21no—
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—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8C2×D411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—21no—
560C22×D4—21no—
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—22no—
573C22×D4—22no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—44no—
582C22×D4—82no—
583C22×D4—82no—
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
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×C4—21no—
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607AGL(1,ℤ/8)—416no—
608C2×Q16—41no—
609C2×Q16—41no—
610C2×Q16—41no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8C2×D414yes—
632#131—416no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—22no—
637C2×M16—22no—
638C2×M16—22no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C2×M16—41no—
644C2×M16C2×D414yescomplemented
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—22no—
649C22×C8—22no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662#127—22no—
663#127—41no—
664#127—44no—
665#126—44no—
666#125—22no—
667#125—41no—
668#124—22no—
669#124—41no—
670#124—41no—
671#124—41no—
672#124—44no—
673#123—44no—
674#123—44no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—22no—
682C22⋊Q8—44no—
683C22⋊Q8—44no—
684C22⋊Q8—41no—
685C22⋊Q8—41no—
686C22⋊Q8—41no—
687C22⋊Q8—41no—
688C22⋊Q8—41no—
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—44no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—82no—
716#121—82no—
717#121C2×D414yes—
718#121C2×D414yescomplemented
719#121#4114yes—
720#120—44no—
721#120—44no—
722#120—44no—
723#120—44no—
724#120—44no—
725#120—82no—
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—82no—
742#117—22no—
743#117—22no—
744#117—41no—
745#117—41no—
746#117—41no—
747#117—41no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
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—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—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—44no—
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844#107—22no—
845#107—22no—
846#107—22no—
847#107—22no—
848#106—22no—
849#106—41no—
850#106—41no—
851#106C2×D414yescomplemented
852C4⋊C8—22no—
853C4⋊C8—22no—
854C4⋊C8—41no—
855#103—22no—
856#103—22no—
857#103—22no—
858#103—22no—
859#103—22no—
860#103—22no—
861#103—22no—
862#103—41no—
863#103—41no—
864#103—41no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102C2×D414yes—
886#102C2×D414yescomplemented
887C22⋊C8—22no—
888C22⋊C8—22no—
889C22⋊C8—22no—
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896#97—41no—
897C4×C8—22no—
898C4×C8—41no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#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#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—44no—
956#41—44no—
957#41—44no—
958#41—44no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—22no—
964C2×Q8—22no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—41no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—24no—
985C2×D4—24no—
986C2×D4—24no—
987C2×D4—22no—
988C2×D4—22no—
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—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
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—44no—
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—82no—
1043C2×D4—82no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
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—816no—
1074C2×D4C22×D412yes—
1075C2×D4C22×D412yes—
1076C2×D4C2×#4112yes—
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—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—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—81no—
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×C4C22×D411yescharacteristic
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×C4C2×#4112yes—
1148C22×C4H(5,𝔽2)12yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4C2511yescharacteristic
1151Q16—82no—
1152SD16—44no—
1153SD16—44no—
1154SD16—82no—
1155SD16—82no—
1156D8—44no—
1157D8—44no—
1158D8—44no—
1159M16—28no—
1160M16—44no—
1161M16—44no—
1162M16—82no—
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×C8C22×D412yes—
1188C2×C8C22×D412yes—
1189C2×C8H(5,𝔽2)12yes—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
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—41no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
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—81no—
1222C4⋊C4—81no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4C22×D412yes—
1226C4⋊C4C22×D412yes—
1227C4⋊C4C2×#4112yes—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—22no—
1233C22⋊C4—24no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
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—81no—
1264C22⋊C4—81no—
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—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—21no—
1286C42—21no—
1287C42—42no—
1288C42—42no—
1289C42—81no—
1290C42—81no—
1291C42—81no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
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—22no—
1314C23—22no—
1315C23—21no—
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—84no—
1347C23—84no—
1348C23—84no—
1349C23—84no—
1350C23—84no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23D4212yes—
1361C23#54612yes—
1362C23C23×D411yescharacteristic
1363Q8—44no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—22no—
1376D4—22no—
1377D4—22no—
1378D4—44no—
1379D4—44no—
1380D4—44no—
1381D4—44no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—84no—
1393D4—82no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—82no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
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—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
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—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×C4C23×D411yescharacteristic
1502C2×C4C22×#4111yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C2×C4#58511yescharacteristic
1507C8—22no—
1508C8—22no—
1509C8—22no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
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—168no—
1572C22—168no—
1573C22C2×D4211yescharacteristic
1574C22C2×#54611yescharacteristic
1575C22#349611yescharacteristic
1576C22#358411yescharacteristic
1577C22#358411yescharacteristic
1578C22#358511yescharacteristic
1579C22#358511yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—41no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—81no—
1594C4—81no—
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—81no—
1609C2—81no—
1610C2—82no—
1611C2—82no—
1612C2—82no—
1613C2—161no—
1614C2#5912311yescharacteristic
1615C2#6107411yescharacteristic
1616C2#6109211yescharacteristic
1617C2#6117511yescharacteristic
1618C2#6121611yescharacteristic
1619C2#6232011yescharacteristic
1620C2#6234711yescharacteristic
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×#3322C2semidirect
2. C2×#3062C2semidirect
3. #45092C2semidirect
4. #44868C2semidirect
5. #30911C2semidirect
6. #30702C2semidirect
7. #30591C2semidirect
8. #30400C2semidirect
9. #28922C2semidirect
10. #28569C2semidirect
11. #28366C2semidirect
12. #27256C2semidirect
13. #26968C2semidirect
14. #26361C2semidirect
15. #26154C2semidirect
16. #25537C2semidirect
17. #25390C2semidirect
18. #25212C2semidirect
19. #25136C2semidirect
20. #25129C2semidirect
21. #25087C2semidirect
22. #24436C2semidirect
23. #24373C2semidirect
24. #24013C2semidirect
25. #23929C2semidirect
26. #23860C2semidirect
27. #23143C2semidirect
28. #22872C2semidirect
29. #22423C2semidirect
30. #21445C2semidirect
31. #20976C2semidirect
33. C22×#131C22semidirect
34. C2×#553C22semidirect
38. C2×#537C22semidirect
42. C2×#481C22semidirect
43. C2×#485C22semidirect
45. C2×#478C22semidirect
48. C2×#469C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
53. C2×#466C22semidirect
55. C2×#465C22semidirect
57. C2×#463C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
61. C2×#449C22semidirect
64. C2×C4×D8C22semidirect
65. C2×#436C22semidirect
66. C2×#436C22semidirect
68. C2×#428C22semidirect
69. C2×#417C22semidirect
71. C2×#416C22semidirect
72. C2×#416C22semidirect
84. #2535C22semidirect
85. #2503C22semidirect
86. #2489C22semidirect
90. #2442C22semidirect
97. #2420C22semidirect
100. #2415C22semidirect
101. #2415C22semidirect
108. #2363C22semidirect
111. #2339C22semidirect
112. #2311C22semidirect
113. #2097C22semidirect
114. #2092C22semidirect
115. #2086C22semidirect
116. #2085C22semidirect
117. #2076C22semidirect
119. #2068C22semidirect
120. #2067C22semidirect
121. #2059C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
126. #2042C22semidirect
127. #2035C22semidirect
130. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
135. #2015C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
144. #1999C22semidirect
146. #1971C22semidirect
147. #1968C22semidirect
149. #1958C22semidirect
150. #1949C22semidirect
151. #1936C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1928C22semidirect
157. #1920C22semidirect
158. #1920C22semidirect
161. #1895C22semidirect
162. #1894C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
166. #1893C22semidirect
167. #1892C22semidirect
168. #1892C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
174. #1877C22semidirect
177. #1875C22semidirect
179. #1874C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
197. #1780C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
310. #469D4semidirect
644. C2×M16C2×D4semidirect
718. #121C2×D4semidirect
851. #106C2×D4semidirect
886. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33222
C2×#30622
#450922
#448682
#309112
#307022
#305912
#304002
#289222
#285692
#283662
#272562
#269682
#263612
#261542
#255372
#253902
#252122
#251362
#251292
#250872
#244362
#243732
#240132
#239292
#238602
#231432
#228722
#224232
#214452
#209762