Finite Group Databasebeta

← #6500265

Subgroups — #6500265

Order 512.

3284 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3551C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3C2×#3062C211yesmaximal, characteristic, complemented
4#37273C211yesmaximal, characteristic, complemented
5#25555C211yesmaximal, characteristic, complemented
6#25553C211yesmaximal, characteristic, complemented
7#25539C211yesmaximal, characteristic, complemented
8#25537C211yesmaximal, characteristic, complemented
9#25506C211yesmaximal, characteristic, complemented
10#25506C211yesmaximal, characteristic, complemented
11#25500C211yesmaximal, characteristic, complemented
12#25500C211yesmaximal, characteristic, complemented
13#24444C211yesmaximal, characteristic, complemented
14#24441C211yesmaximal, characteristic, complemented
15#24428C211yesmaximal, characteristic, complemented
16#24425C211yesmaximal, characteristic, complemented
17#24396C211yesmaximal, characteristic, complemented
18#24396C211yesmaximal, characteristic, complemented
19#24390C211yesmaximal, characteristic, complemented
20#24390C211yesmaximal, characteristic, complemented
21#24106C211yesmaximal, characteristic, complemented
22#24103C211yesmaximal, characteristic, complemented
23#24040C211yesmaximal, characteristic, complemented
24#24037C211yesmaximal, characteristic, complemented
25#23966C211yesmaximal, characteristic, complemented
26#23963C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23861C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20976C211yesmaximal, characteristic, complemented
31#20900C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#131C2211yescharacteristic, complemented
34#3551—28no—
35#3551—28no—
36C2×#563—21no—
37C2×#560—21no—
38C2×#555—21no—
39C2×#553C2211yescharacteristic
40C2×#553C2211yescharacteristic, complemented
41C2×#552C2211yescharacteristic
42C2×#552C2211yescharacteristic, complemented
43C2×#551—21no—
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic, complemented
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic, complemented
48C2×#540—21no—
49C2×#540—21no—
50C2×#538—21no—
51C2×#538—21no—
52C2×#537C2211yescharacteristic
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic, complemented
55C2×#535C2211yescharacteristic, complemented
56C2×#535C2211yescharacteristic, complemented
57C2×#532C2211yescharacteristic
58C2×#529C2211yescharacteristic, complemented
59C2×#529C2211yescharacteristic, complemented
60#3198—28no—
61C2×#481C2211yescharacteristic, complemented
62C2×#485C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic
64C2×#480C2211yescharacteristic, complemented
65#3062—28no—
66C2×#469C2211yescharacteristic
67C2×#469C2211yescharacteristic
68C2×#469C2211yescharacteristic
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic
73C2×#466C2211yescharacteristic
74C2×#466C2211yescharacteristic
75C2×#465C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#428C2211yescharacteristic, complemented
87C2×#417C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic
89C2×#416C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic, complemented
92C2×#408C2211yescharacteristic, complemented
93C2×#408C2211yescharacteristic, complemented
94#2854C2211yescharacteristic, complemented
95#2854C2211yescharacteristic, complemented
96#2733—21no—
97#2731—21no—
98#2684—21no—
99#2678—21no—
100#2678—21no—
101#2673—21no—
102#2673—21no—
103#2669—21no—
104#2615C2211yescharacteristic
105#2615C2211yescharacteristic
106#2485C2211yescharacteristic
107#2485C2211yescharacteristic, complemented
108#2416C2211yescharacteristic
109#2416C2211yescharacteristic, complemented
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic, complemented
112#2408C2211yescharacteristic
113#2408C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, 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#2025C2211yescharacteristic, complemented
132#2025C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1895C2211yescharacteristic
148#1895C2211yescharacteristic, complemented
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1894C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic
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
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1875C2211yescharacteristic
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, 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#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1854C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1823C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1728C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C2×#131—24no—
226C2×#131—42no—
227C2×#131—42no—
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#563—216no—
237#560—216no—
238#555—216no—
239#553—24no—
240#553—24no—
241#553—24no—
242#553—24no—
243#552—24no—
244#552—24no—
245#552—24no—
246#552—24no—
247#551—216no—
248#548—24no—
249#548—24no—
250#548—24no—
251#548—24no—
252#546—24no—
253#546—24no—
254#546—24no—
255#546—24no—
256#540—216no—
257#540—216no—
258#538—216no—
259#538—216no—
260#537—24no—
261#537—24no—
262#537D418yescomplemented
263#537D418yescomplemented
264#536—24no—
265#536—24no—
266#535—24no—
267#535—24no—
268#535—24no—
269#535—24no—
270#532—24no—
271#532—24no—
272C2×C4⋊Q8—21no—
273C2×C4⋊Q8D411yescharacteristic
274C2×#127—21no—
275C2×#127—21no—
276C2×#127D411yescharacteristic
277#529—24no—
278#529—24no—
279#529—24no—
280#529—24no—
281C2×#126—21no—
282C2×#126—21no—
283C2×#126—21no—
284C2×#126—21no—
285C2×#126—21no—
286C2×#126—21no—
287C2×#125—21no—
288C2×#125—21no—
289C2×#125C2311yescharacteristic
290C2×#125C2311yescharacteristic
291C2×#124—21no—
292C2×#124—21no—
293C2×#124—21no—
294C2×#124—21no—
295C2×#124—21no—
296C2×#124D411yescharacteristic
297C2×#124D411yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123—21no—
308C2×#123—21no—
309C2×#123—21no—
310C2×#123—21no—
311C2×#123—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×#121—21no—
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—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121D411yescharacteristic
337C2×#121D411yescharacteristic
338C2×#121D411yescharacteristic
339C2×#121D411yescharacteristic
340C2×#121C2311yescharacteristic
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×#120—21no—
355C2×#120—21no—
356C2×#120—21no—
357C2×#120—21no—
358C2×#120—21no—
359C2×#120—21no—
360C2×#120—21no—
361C2×#120—21no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117—21no—
377C2×#117—21no—
378C2×#117—21no—
379C2×#117—21no—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C22⋊C4—21no—
388C22×C22⋊C4—21no—
389C22×C42C2311yescharacteristic
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#408—42no—
461#408—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#397—21no—
475#397—21no—
476#396—21no—
477#396—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#393—21no—
487#393—21no—
488#392—21no—
489#392—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#392—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#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#387—21no—
519#387—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—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—41no—
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—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41C2×D414yes—
583C2×#41C2×D414yes—
584C2×#41C2×D414yes—
585C2×#41C2×D414yes—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—21no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8C2×D411yescharacteristic
594C22×Q8C2×D411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—21no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4C2×D411yescharacteristic
650C23×C4C2×D411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656AGL(1,ℤ/8)—416no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681#131—416no—
682C2×M16—22no—
683C2×M16—22no—
684C2×M16—22no—
685C2×M16—22no—
686C2×M16—22no—
687C2×M16—22no—
688C2×M16—22no—
689C2×M16—22no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C2×M16—41no—
694C22×C8—22no—
695C22×C8—22no—
696C22×C8—22no—
697C22×C8—22no—
698C22×C8—22no—
699C22×C8—22no—
700C22×C8—41no—
701C22×C8—41no—
702C22×C8—41no—
703C22×C8—41no—
704C22×C8—41no—
705C22×C8—41no—
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C4⋊Q8—28no—
715C4⋊Q8—24no—
716#127—28no—
717#127—24no—
718#127—44no—
719#126—28no—
720#126—28no—
721#126—28no—
722#126—28no—
723#126—28no—
724#126—28no—
725#125—28no—
726#125—28no—
727#125—22no—
728#125—22no—
729#125—22no—
730#125—22no—
731#124—28no—
732#124—28no—
733#124—28no—
734#124—28no—
735#124—24no—
736#124—22no—
737#124—22no—
738#124—24no—
739#124—22no—
740#124—22no—
741#124—44no—
742#123—28no—
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—28no—
752#123—82no—
753#123—82no—
754C22⋊Q8—28no—
755C22⋊Q8—28no—
756C22⋊Q8—28no—
757C22⋊Q8—28no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8C2×D414yes—
767C22⋊Q8C2×D414yes—
768C22⋊Q8C2×D414yes—
769C22⋊Q8C2×D414yes—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—28no—
778#121—28no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—24no—
783#121—24no—
784#121—24no—
785#121—24no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—22no—
794#121—22no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—22no—
801#121—22no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—82no—
811#121—82no—
812#121C2×D414yes—
813#121C2×D414yes—
814#121C2×D414yes—
815#121C2×D414yes—
816#120—28no—
817#120—28no—
818#120—28no—
819#120—28no—
820#120—44no—
821#120—44no—
822#120—82no—
823#120—82no—
824C4×Q8—22no—
825C4×Q8—22no—
826C4×Q8—22no—
827C4×Q8—22no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—22no—
835C4×D4—22no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4—22no—
841C4×D4—22no—
842C4×D4—22no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846#117—28no—
847#117—28no—
848#117—28no—
849#117—28no—
850#117—22no—
851#117—22no—
852#117—22no—
853#117—22no—
854#117—22no—
855#117—22no—
856#117—41no—
857#117—41no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—22no—
861C2×C4⋊C4—22no—
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—21no—
871C2×C4⋊C4—21no—
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—21no—
879C2×C4⋊C4—41no—
880C2×C4⋊C4—41no—
881C2×C4⋊C4C2×D411yescharacteristic
882C2×C4⋊C4C2×D411yescharacteristic
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D414yes—
886C2×C4⋊C4C2×D414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C22⋊C4—28no—
898C2×C22⋊C4—28no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C42—21no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—22no—
958C2×C42—22no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42C2×D411yescharacteristic
962C2×C42C2×D411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965#107—22no—
966#107—22no—
967#107—22no—
968#107—22no—
969#106—22no—
970#106—22no—
971#106—22no—
972#106—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—41no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103—41no—
984#103—41no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
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—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004#102—41no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029C24—24no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—42no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24—81no—
1046C24—81no—
1047C24C22×D411yescharacteristic
1048C24C22×D411yescharacteristic
1049C24C22×D411yescharacteristic
1050C24C22×D411yescharacteristic
1051C24C22×D411yescharacteristic
1052#41—44no—
1053#41—44no—
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—44no—
1059#41—44no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
1064#41—82no—
1065#41—82no—
1066#41—82no—
1067#41—82no—
1068C2×Q8—24no—
1069C2×Q8—22no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—82no—
1087C2×Q8—82no—
1088C2×Q8—82no—
1089C2×Q8—82no—
1090C2×Q8#12014yes—
1091C2×Q8C22×D412yes—
1092C2×Q8C22×D412yes—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
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#12014yes—
1205C2×D4#12014yes—
1206C2×D4#12014yes—
1207C2×D4C22×D412yes—
1208C2×D4C22×D412yes—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
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—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
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×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D412yes—
1285C22×C4C22×D412yes—
1286C22×C4C22×D412yes—
1287C22×C4C22×D412yes—
1288C22×C4C22×D412yes—
1289C22×C4C22×D412yes—
1290C22×C4C2511yescharacteristic
1291SD16—44no—
1292SD16—44no—
1293SD16—82no—
1294SD16—82no—
1295D8—44no—
1296D8—44no—
1297D8—82no—
1298D8—82no—
1299M16—28no—
1300M16—44no—
1301M16—44no—
1302M16—82no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—44no—
1326C2×C8—44no—
1327C2×C8—44no—
1328C2×C8—82no—
1329C2×C8H(5,𝔽2)12yes—
1330C2×C8H(5,𝔽2)12yes—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—81no—
1368C4⋊C4—81no—
1369C4⋊C4—81no—
1370C4⋊C4C22×D412yes—
1371C4⋊C4C22×D412yes—
1372C4⋊C4C22×D412yes—
1373C4⋊C4C22×D412yes—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—42no—
1439C42—81no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—162no—
1505C23—162no—
1506C23—162no—
1507C23—162no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23C2×#12012yes—
1515C23C2×#12012yes—
1516C23C2×#12012yes—
1517C23C23×D411yescharacteristic
1518Q8—22no—
1519Q8—22no—
1520Q8—22no—
1521Q8—22no—
1522Q8—44no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—82no—
1528Q8—84no—
1529D4—22no—
1530D4—22no—
1531D4—22no—
1532D4—22no—
1533D4—44no—
1534D4—44no—
1535D4—44no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—82no—
1549D4—84no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—82no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—162no—
1566D4—162no—
1567D4—162no—
1568D4—162no—
1569D4—162no—
1570D4—162no—
1571D4—162no—
1572D4—162no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
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—84no—
1654C2×C4—84no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—162no—
1663C2×C4C2×#12012yes—
1664C2×C4C2×#12012yes—
1665C2×C4C2×#12012yes—
1666C2×C4C23×D411yescharacteristic
1667C2×C4C23×D411yescharacteristic
1668C2×C4C2×H(5,𝔽2)11yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4#58511yescharacteristic
1671C2×C4#58511yescharacteristic
1672C8—22no—
1673C8—22no—
1674C8—41no—
1675C8—41no—
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—41no—
1716C22—41no—
1717C22—42no—
1718C22—42no—
1719C22—41no—
1720C22—41no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—168no—
1744C22—168no—
1745C22C22×#12011yescharacteristic
1746C22#349611yescharacteristic
1747C22#349611yescharacteristic
1748C22#358411yescharacteristic
1749C22#358411yescharacteristic
1750C22#358511yescharacteristic
1751C22#358511yescharacteristic
1752C4—22no—
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—81no—
1768C4—81no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4—81no—
1773C4#348411yescharacteristic
1774C4#348511yescharacteristic
1775C4#349611yescharacteristic
1776C4#349611yescharacteristic
1777C2—42no—
1778C2—42no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—82no—
1783C2—82no—
1784C2—161no—
1785C2—161no—
1786C2#3534711yescharacteristic
1787C2#6037611yescharacteristic
1788C2#6037611yescharacteristic
1789C2#6233611yescharacteristic
1790C2#6234411yescharacteristic
1791C2#6234711yescharacteristic
1792C2#6235111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3551C2semidirect
2. C2×#3198C2semidirect
3. C2×#3062C2semidirect
4. #37273C2semidirect
5. #25555C2semidirect
6. #25553C2semidirect
7. #25539C2semidirect
8. #25537C2semidirect
9. #25506C2semidirect
10. #25506C2semidirect
11. #25500C2semidirect
12. #25500C2semidirect
13. #24444C2semidirect
14. #24441C2semidirect
15. #24428C2semidirect
16. #24425C2semidirect
17. #24396C2semidirect
18. #24396C2semidirect
19. #24390C2semidirect
20. #24390C2semidirect
21. #24106C2semidirect
22. #24103C2semidirect
23. #24040C2semidirect
24. #24037C2semidirect
25. #23966C2semidirect
26. #23963C2semidirect
27. #23866C2semidirect
28. #23861C2semidirect
29. #21772C2semidirect
30. #20976C2semidirect
31. #20900C2semidirect
33. C22×#131C22semidirect
40. C2×#553C22semidirect
42. C2×#552C22semidirect
45. C2×#548C22semidirect
47. C2×#546C22semidirect
54. C2×#536C22semidirect
55. C2×#535C22semidirect
56. C2×#535C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
61. C2×#481C22semidirect
62. C2×#485C22semidirect
64. C2×#480C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#468C22semidirect
75. C2×#465C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
82. C2×#450C22semidirect
86. C2×#428C22semidirect
87. C2×#417C22semidirect
89. C2×#416C22semidirect
90. C22×#102C22semidirect
91. C2×#408C22semidirect
92. C2×#408C22semidirect
93. C2×#408C22semidirect
94. #2854C22semidirect
95. #2854C22semidirect
107. #2485C22semidirect
109. #2416C22semidirect
111. #2414C22semidirect
113. #2408C22semidirect
114. #2311C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2059C22semidirect
118. #2059C22semidirect
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. #2025C22semidirect
132. #2025C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
148. #1895C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
151. #1894C22semidirect
152. #1894C22semidirect
154. #1893C22semidirect
155. #1893C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
158. #1892C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
162. #1880C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
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. #1854C22semidirect
192. #1854C22semidirect
193. #1854C22semidirect
194. #1854C22semidirect
195. #1824C22semidirect
196. #1823C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1728C22semidirect
206. C2×#336C22semidirect
262. #537D4semidirect
263. #537D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35512
C2×#31982
C2×#30622
#372732
#255552
#255532
#255392
#255372
#255062
#255002
#244442
#244412
#244282
#244252
#243962
#243902
#241062
#241032
#240402
#240372
#239662
#239632
#238662
#238612
#217722
#209762
#209002