Finite Group Databasebeta

← #6500248

Subgroups — #6500248

Order 512.

3438 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3C2×#3062C211yesmaximal, characteristic, complemented
4#37269C211yesmaximal, characteristic, complemented
5#25559C211yesmaximal, characteristic, complemented
6#25549C211yesmaximal, characteristic, complemented
7#25543C211yesmaximal, characteristic, complemented
8#25533C211yesmaximal, characteristic, complemented
9#25513C211yesmaximal, characteristic, complemented
10#25513C211yesmaximal, characteristic, complemented
11#25510C211yesmaximal, characteristic, complemented
12#25510C211yesmaximal, characteristic, complemented
13#24444C211yesmaximal, characteristic, complemented
14#24441C211yesmaximal, characteristic, complemented
15#24428C211yesmaximal, characteristic, complemented
16#24425C211yesmaximal, characteristic, complemented
17#24387C211yesmaximal, characteristic, complemented
18#24384C211yesmaximal, characteristic, complemented
19#24381C211yesmaximal, characteristic, complemented
20#24378C211yesmaximal, characteristic, complemented
21#24109C211yesmaximal, characteristic, complemented
22#24100C211yesmaximal, characteristic, complemented
23#24040C211yesmaximal, characteristic, complemented
24#24037C211yesmaximal, characteristic, complemented
25#23969C211yesmaximal, characteristic, complemented
26#23960C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23861C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20976C211yesmaximal, characteristic, complemented
31#20899C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34#3536—28no—
35#3536—28no—
36C2×#562—21no—
37C2×#562—21no—
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic, complemented
42C2×#547C2211yescharacteristic
43C2×#547C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546—21no—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic, complemented
48C2×#543—21no—
49C2×#542C2211yescharacteristic, complemented
50C2×#542C2211yescharacteristic, complemented
51C2×#539—21no—
52C2×#538—21no—
53C2×#537—21no—
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#535C2211yescharacteristic, complemented
57C2×#525C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic, complemented
59C22×#121C2211yescharacteristic, complemented
60#3198—28no—
61C2×#481C2211yescharacteristic, complemented
62C2×#485C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#480C2211yescharacteristic, complemented
65#3062—28no—
66C2×#469C2211yescharacteristic
67C2×#469C2211yescharacteristic
68C2×#469C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic
73C2×#466C2211yescharacteristic
74C2×#466C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#428C2211yescharacteristic, complemented
87C2×#417C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C2×#416C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic, complemented
92C2×#407C2211yescharacteristic, complemented
93C22×C22⋊C8C2211yescharacteristic, complemented
94#2847C2211yescharacteristic
95#2847C2211yescharacteristic
96#2730—21no—
97#2730—21no—
98#2709—21no—
99#2697—21no—
100#2679—21no—
101#2669—21no—
102#2668—21no—
103#2668—21no—
104#2624C2211yescharacteristic, complemented
105#2624C2211yescharacteristic, complemented
106#2485C2211yescharacteristic
107#2485C2211yescharacteristic, complemented
108#2416C2211yescharacteristic
109#2416C2211yescharacteristic, complemented
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic, complemented
112#2408C2211yescharacteristic
113#2408C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115#2058C2211yescharacteristic, complemented
116#2058C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2023C2211yescharacteristic, complemented
132#2023C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1895C2211yescharacteristic, complemented
148#1895C2211yescharacteristic, complemented
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1894C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1893C2211yescharacteristic, complemented
155#1893C2211yescharacteristic, complemented
156#1892C2211yescharacteristic, complemented
157#1892C2211yescharacteristic, complemented
158#1892C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1823C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1729C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C2×#131—24no—
229C2×#131—42no—
230C2×#131—42no—
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#562—216no—
240#562—216no—
241#554—24no—
242#554—24no—
243#554—24no—
244#554—24no—
245#548—24no—
246#548—24no—
247#548—24no—
248#548—24no—
249#547—24no—
250#547—24no—
251#547—24no—
252#547—24no—
253#546—216no—
254#546—216no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546—24no—
259#543—216no—
260#542—24no—
261#542—24no—
262#542—24no—
263#542—24no—
264#539—216no—
265#538—216no—
266#537—216no—
267#537—24no—
268#537—24no—
269#537D418yescomplemented
270#537D418yescomplemented
271#535—24no—
272#535—24no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127—21no—
276C2×#126—21no—
277C2×#126—21no—
278C2×#125—21no—
279C2×#125—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287#525—24no—
288#525—24no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123D411yescharacteristic
298C2×#123D411yescharacteristic
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—24no—
304C2×C22⋊Q8—24no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8D411yescharacteristic
316C2×C22⋊Q8D411yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—24no—
334C2×#121—24no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121D411yescharacteristic
340C2×#121D411yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#120—21no—
356C2×#120—21no—
357C2×#120—21no—
358C2×#120—21no—
359C2×#120—21no—
360C2×#120—21no—
361C2×#120—21no—
362C2×#120—21no—
363C2×#120D411yescharacteristic
364C2×#120D411yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4—21no—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C22×C4⋊C4—21no—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C22⋊C4—21no—
387C22×C22⋊C4—21no—
388C22×C22⋊C4—21no—
389C22×C22⋊C4—21no—
390#485—24no—
391#482—24no—
392#481—24no—
393#480—24no—
394#469—24no—
395#469—24no—
396#469—24no—
397#468—24no—
398#468—24no—
399#468—24no—
400#466—24no—
401#466—24no—
402#466—24no—
403#465—24no—
404#465—24no—
405#465—24no—
406#450—24no—
407#449—24no—
408#449—24no—
409#448—42no—
410#448—42no—
411#447—24no—
412#447—42no—
413#447—42no—
414#428—24no—
415C2×#107C2311yescharacteristic
416C2×#107C2311yescharacteristic
417C2×#107C2311yescharacteristic
418C2×#107C2311yescharacteristic
419C2×#106C2311yescharacteristic
420C2×#106C2311yescharacteristic
421C2×#106C2311yescharacteristic
422C2×#106C2311yescharacteristic
423#417—42no—
424#416—24no—
425#416—42no—
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#102—24no—
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459#408—24no—
460#407—42no—
461C2×C22⋊C8—42no—
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474#399—21no—
475#399—21no—
476#397—21no—
477#397—21no—
478#397—21no—
479#397—21no—
480#396—21no—
481#396—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#392—21no—
495#392—21no—
496#392—21no—
497#392—21no—
498#391—21no—
499#390—21no—
500#390—21no—
501#390—21no—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#387—21no—
515#387—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#379—21no—
535#379—21no—
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C25C2×D411yescharacteristic
563C2×#41—28no—
564C2×#41—28no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—82no—
580C2×#41—82no—
581C2×#41—82no—
582C2×#41—82no—
583C2×#41C2×D414yes—
584C2×#41C2×D414yes—
585C2×#41C2×D414yes—
586C2×#41C2×D414yes—
587C22×Q8—22no—
588C22×Q8—22no—
589C22×Q8—21no—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8C2×D411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—28no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—22no—
609C22×D4—22no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—21no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—82no—
631C22×D4—82no—
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—21no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—41no—
659C23×C4C2×D411yescharacteristic
660C23×C4C2×D411yescharacteristic
661C23×C4C2×D411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667AGL(1,ℤ/8)—416no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692#131—416no—
693C2×M16—22no—
694C2×M16—22no—
695C2×M16—22no—
696C2×M16—22no—
697C2×M16—22no—
698C2×M16—22no—
699C2×M16—22no—
700C2×M16—22no—
701C2×M16—41no—
702C2×M16—41no—
703C2×M16—41no—
704C2×M16—41no—
705C22×C8—22no—
706C22×C8—22no—
707C22×C8—22no—
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—41no—
712C22×C8—41no—
713C22×C8—41no—
714C22×C8—41no—
715C22×C8—41no—
716C22×C8—41no—
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C4⋊Q8—22no—
726C4⋊Q8—22no—
727C4⋊Q8—22no—
728C4⋊Q8—22no—
729#127—44no—
730#126—28no—
731#126—28no—
732#125—28no—
733#125—28no—
734#124—28no—
735#124—28no—
736#124—28no—
737#124—28no—
738#124—22no—
739#124—22no—
740#124—22no—
741#124—22no—
742#124—44no—
743#123—28no—
744#123—28no—
745#123—28no—
746#123—28no—
747#123—28no—
748#123—28no—
749#123—28no—
750#123—28no—
751#123—24no—
752#123—24no—
753C22⋊Q8—28no—
754C22⋊Q8—28no—
755C22⋊Q8—28no—
756C22⋊Q8—28no—
757C22⋊Q8—28no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762C22⋊Q8—28no—
763C22⋊Q8—28no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8—28no—
767C22⋊Q8—24no—
768C22⋊Q8—24no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8C2×D414yes—
778C22⋊Q8C2×D414yes—
779C22⋊Q8C2×D414yes—
780C22⋊Q8C2×D414yes—
781#121—28no—
782#121—28no—
783#121—28no—
784#121—28no—
785#121—28no—
786#121—28no—
787#121—28no—
788#121—28no—
789#121—28no—
790#121—28no—
791#121—28no—
792#121—28no—
793#121—24no—
794#121—24no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—22no—
801#121—22no—
802#121—22no—
803#121—22no—
804#121—22no—
805#121—22no—
806#121—22no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—22no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—82no—
820#121—82no—
821#121C2×D414yes—
822#121C2×D414yes—
823#121C2×D414yes—
824#121C2×D414yes—
825#120—28no—
826#120—28no—
827#120—24no—
828#120—24no—
829#120—44no—
830#120—44no—
831#120—82no—
832#120—82no—
833#120—82no—
834#120—82no—
835C4×Q8—22no—
836C4×Q8—22no—
837C4×Q8—22no—
838C4×Q8—22no—
839C4×D4—28no—
840C4×D4—28no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855#117—22no—
856#117—22no—
857#117—22no—
858#117—22no—
859#117—41no—
860#117—41no—
861C2×C4⋊C4—28no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—22no—
871C2×C4⋊C4—22no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—22no—
879C2×C4⋊C4—22no—
880C2×C4⋊C4—22no—
881C2×C4⋊C4—22no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D414yes—
896C2×C4⋊C4C2×D414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C22⋊C4—28no—
908C2×C22⋊C4—28no—
909C2×C22⋊C4—28no—
910C2×C22⋊C4—28no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42—21no—
969C2×C42C2411yescharacteristic
970C2×C42C2411yescharacteristic
971#107—22no—
972#107—22no—
973#107—22no—
974#107—22no—
975#106—22no—
976#106—22no—
977#106—22no—
978#106—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—41no—
986#103—41no—
987#103—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—41no—
1006#102—41no—
1007#102—41no—
1008#102—41no—
1009#102—41no—
1010#102—41no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—41no—
1020C22⋊C8—41no—
1021C22⋊C8—41no—
1022C22⋊C8—41no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035C24—24no—
1036C24—21no—
1037C24—21no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—21no—
1042C24—21no—
1043C24—41no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064C24C22×D411yescharacteristic
1065#41—44no—
1066#41—44no—
1067#41—44no—
1068#41—44no—
1069#41—44no—
1070#41—44no—
1071#41—44no—
1072#41—44no—
1073#41—82no—
1074#41—82no—
1075#41—82no—
1076#41—82no—
1077#41—816no—
1078#41—816no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—82no—
1101C2×Q8—82no—
1102C2×Q8—82no—
1103C2×Q8—82no—
1104C2×Q8#12014yes—
1105C2×Q8C22×D412yes—
1106C2×Q8C22×D412yes—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—816no—
1210C2×D4#12014yes—
1211C2×D4#12014yes—
1212C2×D4#12014yes—
1213C2×D4C22×D412yes—
1214C2×D4C22×D412yes—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—24no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—82no—
1272C22×C4—82no—
1273C22×C4—82no—
1274C22×C4—82no—
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—
1286C22×C4—81no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D412yes—
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D412yes—
1307C22×C4C22×D412yes—
1308C22×C4C22×D412yes—
1309C22×C4C2511yescharacteristic
1310SD16—44no—
1311SD16—44no—
1312SD16—82no—
1313SD16—82no—
1314D8—44no—
1315D8—44no—
1316D8—82no—
1317D8—82no—
1318M16—28no—
1319M16—44no—
1320M16—44no—
1321M16—82no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—44no—
1345C2×C8—44no—
1346C2×C8—44no—
1347C2×C8—82no—
1348C2×C8H(5,𝔽2)12yes—
1349C2×C8H(5,𝔽2)12yes—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—81no—
1387C4⋊C4—81no—
1388C4⋊C4—81no—
1389C4⋊C4—81no—
1390C4⋊C4—81no—
1391C4⋊C4C22×D412yes—
1392C4⋊C4C22×D412yes—
1393C4⋊C4C22×D412yes—
1394C4⋊C4C22×D412yes—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C22⋊C4—81no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C42—24no—
1450C42—24no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—42no—
1456C42—81no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—48no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—82no—
1520C23—82no—
1521C23—82no—
1522C23—84no—
1523C23—82no—
1524C23—84no—
1525C23—84no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23—162no—
1535C23—162no—
1536C23C2×#12012yes—
1537C23C2×#12012yes—
1538C23C2×#12012yes—
1539C23#57612yes—
1540C23#57712yes—
1541C23C23×D411yescharacteristic
1542Q8—22no—
1543Q8—22no—
1544Q8—22no—
1545Q8—22no—
1546Q8—44no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—84no—
1552Q8—84no—
1553Q8—84no—
1554D4—22no—
1555D4—22no—
1556D4—22no—
1557D4—22no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—44no—
1564D4—44no—
1565D4—48no—
1566D4—48no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—162no—
1588D4—162no—
1589D4—162no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593D4—162no—
1594D4—162no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—48no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—162no—
1688C2×C4C2×#12012yes—
1689C2×C4C2×#12012yes—
1690C2×C4C2×#12012yes—
1691C2×C4C23×D411yescharacteristic
1692C2×C4C23×D411yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4C2×H(5,𝔽2)11yescharacteristic
1695C2×C4#58511yescharacteristic
1696C2×C4#58511yescharacteristic
1697C8—22no—
1698C8—22no—
1699C8—41no—
1700C8—41no—
1701C8—41no—
1702C8—41no—
1703C8—41no—
1704C8—41no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—88no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—168no—
1770C22—168no—
1771C22C22×#12011yescharacteristic
1772C22#349611yescharacteristic
1773C22#349611yescharacteristic
1774C22C2×#57611yescharacteristic
1775C22C2×#57711yescharacteristic
1776C22#358511yescharacteristic
1777C22#358611yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—41no—
1793C4—81no—
1794C4—81no—
1795C4—81no—
1796C4—81no—
1797C4—81no—
1798C4—81no—
1799C4#348411yescharacteristic
1800C4#348511yescharacteristic
1801C4#349611yescharacteristic
1802C4#349611yescharacteristic
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—42no—
1807C2—42no—
1808C2—82no—
1809C2—82no—
1810C2—161no—
1811C2—161no—
1812C2#3534711yescharacteristic
1813C2#6037211yescharacteristic
1814C2#6037411yescharacteristic
1815C2#6228011yescharacteristic
1816C2#6229411yescharacteristic
1817C2#6231111yescharacteristic
1818C2#6231911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3536C2semidirect
2. C2×#3198C2semidirect
3. C2×#3062C2semidirect
4. #37269C2semidirect
5. #25559C2semidirect
6. #25549C2semidirect
7. #25543C2semidirect
8. #25533C2semidirect
9. #25513C2semidirect
10. #25513C2semidirect
11. #25510C2semidirect
12. #25510C2semidirect
13. #24444C2semidirect
14. #24441C2semidirect
15. #24428C2semidirect
16. #24425C2semidirect
17. #24387C2semidirect
18. #24384C2semidirect
19. #24381C2semidirect
20. #24378C2semidirect
21. #24109C2semidirect
22. #24100C2semidirect
23. #24040C2semidirect
24. #24037C2semidirect
25. #23969C2semidirect
26. #23960C2semidirect
27. #23866C2semidirect
28. #23861C2semidirect
29. #21772C2semidirect
30. #20976C2semidirect
31. #20899C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#131C22semidirect
39. C2×#554C22semidirect
41. C2×#548C22semidirect
43. C2×#547C22semidirect
47. C2×#546C22semidirect
49. C2×#542C22semidirect
50. C2×#542C22semidirect
56. C2×#535C22semidirect
58. C22×C22⋊Q8C22semidirect
59. C22×#121C22semidirect
61. C2×#481C22semidirect
62. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#480C22semidirect
68. C2×#469C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#468C22semidirect
74. C2×#466C22semidirect
75. C2×#465C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
82. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#428C22semidirect
87. C2×#417C22semidirect
88. C2×#416C22semidirect
89. C2×#416C22semidirect
90. C22×#102C22semidirect
91. C2×#408C22semidirect
92. C2×#407C22semidirect
93. C22×C22⋊C8C22semidirect
104. #2624C22semidirect
105. #2624C22semidirect
107. #2485C22semidirect
109. #2416C22semidirect
111. #2414C22semidirect
113. #2408C22semidirect
114. #2311C22semidirect
115. #2058C22semidirect
116. #2058C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2023C22semidirect
132. #2023C22semidirect
133. #2023C22semidirect
134. #2023C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
147. #1895C22semidirect
148. #1895C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
151. #1894C22semidirect
152. #1894C22semidirect
153. #1893C22semidirect
154. #1893C22semidirect
155. #1893C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
158. #1892C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
162. #1880C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1875C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1873C22semidirect
174. #1872C22semidirect
176. #1870C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1853C22semidirect
192. #1853C22semidirect
193. #1852C22semidirect
194. #1852C22semidirect
195. #1824C22semidirect
196. #1823C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1729C22semidirect
206. #1729C22semidirect
269. #537D4semidirect
270. #537D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
C2×#31982
C2×#30622
#372692
#255592
#255492
#255432
#255332
#255132
#255102
#244442
#244412
#244282
#244252
#243872
#243842
#243812
#243782
#241092
#241002
#240402
#240372
#239692
#239602
#238662
#238612
#217722
#209762
#208992