Finite Group Databasebeta

← #6500252

Subgroups — #6500252

Order 512.

3286 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×#3539C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3C2×#3062C211yesmaximal, characteristic, complemented
4#37269C211yesmaximal, characteristic, complemented
5#25555C211yesmaximal, characteristic, complemented
6#25553C211yesmaximal, characteristic, complemented
7#25539C211yesmaximal, characteristic, complemented
8#25537C211yesmaximal, characteristic, complemented
9#25511C211yesmaximal, characteristic, complemented
10#25511C211yesmaximal, characteristic, complemented
11#25508C211yesmaximal, characteristic, complemented
12#25508C211yesmaximal, characteristic, complemented
13#24454C211yesmaximal, characteristic, complemented
14#24451C211yesmaximal, characteristic, complemented
15#24438C211yesmaximal, characteristic, complemented
16#24435C211yesmaximal, characteristic, complemented
17#24388C211yesmaximal, characteristic, complemented
18#24388C211yesmaximal, characteristic, complemented
19#24382C211yesmaximal, characteristic, complemented
20#24382C211yesmaximal, characteristic, complemented
21#24106C211yesmaximal, characteristic, complemented
22#24103C211yesmaximal, characteristic, complemented
23#24043C211yesmaximal, characteristic, complemented
24#24034C211yesmaximal, characteristic, complemented
25#23966C211yesmaximal, characteristic, complemented
26#23963C211yesmaximal, characteristic, complemented
27#23869C211yesmaximal, characteristic, complemented
28#23864C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20976C211yesmaximal, characteristic, complemented
31#20899C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic
34#3539—28no—
35#3539—28no—
36C2×#560—21no—
37C2×#560—21no—
38C2×#553—21no—
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic, complemented
42C2×#552C2211yescharacteristic
43C2×#552C2211yescharacteristic, complemented
44C2×#550C2211yescharacteristic
45C2×#550C2211yescharacteristic, complemented
46C2×#547C2211yescharacteristic
47C2×#547C2211yescharacteristic, complemented
48C2×#541C2211yescharacteristic, complemented
49C2×#540—21no—
50C2×#540—21no—
51C2×#540C2211yescharacteristic, complemented
52C2×#539—21no—
53C2×#539—21no—
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C2×#525C2211yescharacteristic, complemented
59C2×#525C2211yescharacteristic, 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
70C2×#468C2211yescharacteristic
71C2×#468C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic
73C2×#466C2211yescharacteristic
74C2×#466C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic
76C2×#465C2211yescharacteristic
77C2×#465C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#449C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#428C2211yescharacteristic, complemented
87C2×#417C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C2×#416C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic
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
105#2624C2211yescharacteristic
106#2485C2211yescharacteristic
107#2485C2211yescharacteristic
108#2416C2211yescharacteristic
109#2416C2211yescharacteristic
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic
112#2408C2211yescharacteristic
113#2408C2211yescharacteristic
114#2311C2211yescharacteristic
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, complemented
119#2043C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, 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#2013C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, 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
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
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, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1729C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
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#560—216no—
237#560—216no—
238#553—216no—
239#553—216no—
240#553—24no—
241#553—24no—
242#553—24no—
243#553—24no—
244#552—24no—
245#552—24no—
246#552—24no—
247#552—24no—
248#550—24no—
249#550—24no—
250#550—24no—
251#550—24no—
252#547—24no—
253#547—24no—
254#547—24no—
255#547—24no—
256#541—24no—
257#541—24no—
258#540—216no—
259#540—216no—
260#540—24no—
261#540—24no—
262#539—216no—
263#539—216no—
264#537—24no—
265#537—24no—
266#537D418yescomplemented
267#537D418yescomplemented
268#535—24no—
269#535—24no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127—21no—
272C2×#127—21no—
273C2×#127—21no—
274C2×#127C2311yescharacteristic
275C2×#126—21no—
276C2×#126—21no—
277C2×#126—21no—
278C2×#126—21no—
279C2×#126—21no—
280C2×#126—21no—
281C2×#125—21no—
282C2×#125—21no—
283C2×#125—21no—
284C2×#125—21no—
285C2×#125C2311yescharacteristic
286C2×#125C2311yescharacteristic
287C2×#124—21no—
288#525—24no—
289#525—24no—
290#525—24no—
291#525—24no—
292#525—24no—
293#525—24no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123D411yescharacteristic
307C2×#123D411yescharacteristic
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8D411yescharacteristic
311C2×C22⋊Q8D411yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
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×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
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×#120—21no—
353C2×#120—21no—
354C2×#120—21no—
355C2×#120—21no—
356C2×#120—21no—
357C2×#120—21no—
358C2×#120—21no—
359C2×#120—21no—
360C2×#120D411yescharacteristic
361C2×#120D411yescharacteristic
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×D4—21no—
371C2×C4×D4—21no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×#117—21no—
379C2×#117—21no—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C22×C4⋊C4—21no—
386C22×C4⋊C4—21no—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
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#449—42no—
410#449—42no—
411#449—42no—
412#449—42no—
413#447—24no—
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—
561C25C2×D411yescharacteristic
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
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×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41C2×D414yes—
589C2×#41C2×D414yes—
590C2×#41C2×D414yes—
591C2×#41C2×D414yes—
592C22×Q8C2×D411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×D4—21no—
596C22×D4—21no—
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—21no—
606C22×D4—21no—
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—22no—
616C22×D4—22no—
617C22×D4—21no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4C2×D411yescharacteristic
623C22×D4C2×D411yescharacteristic
624C22×D4C2×D411yescharacteristic
625C22×D4C2×D411yescharacteristic
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2411yescharacteristic
630C22×D4C2411yescharacteristic
631C22×D4C2411yescharacteristic
632C22×D4C2411yescharacteristic
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—21no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4C2×D411yescharacteristic
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—22no—
715C4⋊Q8—22no—
716#127—28no—
717#127—28no—
718#127—22no—
719#127—22no—
720#127—44no—
721#126—28no—
722#126—28no—
723#126—28no—
724#126—28no—
725#126—28no—
726#126—28no—
727#125—28no—
728#125—28no—
729#125—28no—
730#125—28no—
731#125—22no—
732#125—22no—
733#125—22no—
734#125—22no—
735#124—44no—
736#123—28no—
737#123—28no—
738#123—28no—
739#123—28no—
740#123—28no—
741#123—28no—
742#123—28no—
743#123—28no—
744#123—28no—
745#123—28no—
746#123—28no—
747#123—28no—
748#123—24no—
749#123—24no—
750C22⋊Q8—28no—
751C22⋊Q8—28no—
752C22⋊Q8—24no—
753C22⋊Q8—24no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8C2×D414yes—
763C22⋊Q8C2×D414yes—
764C22⋊Q8C2×D414yes—
765C22⋊Q8C2×D414yes—
766#121—28no—
767#121—28no—
768#121—28no—
769#121—28no—
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—22no—
785#121—22no—
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—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—82no—
809#121—82no—
810#121C2×D414yes—
811#121C2×D414yes—
812#121C2×D414yes—
813#121C2×D414yes—
814#120—28no—
815#120—28no—
816#120—24no—
817#120—24no—
818#120—44no—
819#120—44no—
820#120—82no—
821#120—82no—
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—28no—
835C4×D4—28no—
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—
846C4×D4—22no—
847C4×D4—22no—
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—22no—
857#117—22no—
858#117—41no—
859#117—41no—
860C2×C4⋊C4—28no—
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—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D414yes—
894C2×C4⋊C4C2×D414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
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×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⋊C4—21no—
946C2×C22⋊C4—21no—
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×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C42—21no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
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—21no—
1030C24—21no—
1031C24—22no—
1032C24—21no—
1033C24—21no—
1034C24—41no—
1035C24—41no—
1036C24—41no—
1037C24—41no—
1038C24—41no—
1039C24—41no—
1040C24—42no—
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—
1068#41—82no—
1069#41—82no—
1070#41—82no—
1071#41—82no—
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—21no—
1081C2×Q8—21no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8#12014yes—
1085C2×Q8C22×D412yes—
1086C2×Q8C22×D412yes—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
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—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—82no—
1151C2×D4—82no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
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#12014yes—
1195C2×D4#12014yes—
1196C2×D4#12014yes—
1197C2×D4C22×D412yes—
1198C2×D4C22×D412yes—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
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—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—82no—
1253C22×C4—82no—
1254C22×C4—82no—
1255C22×C4—82no—
1256C22×C4—81no—
1257C22×C4—81no—
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—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
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—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—81no—
1370C4⋊C4—81no—
1371C4⋊C4—81no—
1372C4⋊C4—81no—
1373C4⋊C4—81no—
1374C4⋊C4C22×D412yes—
1375C4⋊C4C22×D412yes—
1376C4⋊C4C22×D412yes—
1377C4⋊C4C22×D412yes—
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—22no—
1403C22⋊C4—22no—
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—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
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—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—44no—
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—41no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23—84no—
1505C23—82no—
1506C23—82no—
1507C23—82no—
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—
1527D4—22no—
1528D4—22no—
1529D4—22no—
1530D4—22no—
1531D4—44no—
1532D4—44no—
1533D4—44no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—84no—
1547D4—82no—
1548D4—82no—
1549D4—82no—
1550D4—82no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—162no—
1564D4—162no—
1565D4—162no—
1566D4—162no—
1567D4—162no—
1568D4—162no—
1569D4—162no—
1570D4—162no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
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—21no—
1590C2×C4—21no—
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—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—41no—
1614C2×C4—41no—
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—82no—
1652C2×C4—82no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—82no—
1656C2×C4—84no—
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—42no—
1716C22—42no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—88no—
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—81no—
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#6228211yescharacteristic
1790C2#6229211yescharacteristic
1791C2#6231311yescharacteristic
1792C2#6232011yescharacteristic
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×#3539C2semidirect
2. C2×#3198C2semidirect
3. C2×#3062C2semidirect
4. #37269C2semidirect
5. #25555C2semidirect
6. #25553C2semidirect
7. #25539C2semidirect
8. #25537C2semidirect
9. #25511C2semidirect
10. #25511C2semidirect
11. #25508C2semidirect
12. #25508C2semidirect
13. #24454C2semidirect
14. #24451C2semidirect
15. #24438C2semidirect
16. #24435C2semidirect
17. #24388C2semidirect
18. #24388C2semidirect
19. #24382C2semidirect
20. #24382C2semidirect
21. #24106C2semidirect
22. #24103C2semidirect
23. #24043C2semidirect
24. #24034C2semidirect
25. #23966C2semidirect
26. #23963C2semidirect
27. #23869C2semidirect
28. #23864C2semidirect
29. #21772C2semidirect
30. #20976C2semidirect
31. #20899C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
41. C2×#553C22semidirect
43. C2×#552C22semidirect
45. C2×#550C22semidirect
47. C2×#547C22semidirect
48. C2×#541C22semidirect
51. C2×#540C22semidirect
58. C2×#525C22semidirect
59. C2×#525C22semidirect
61. C2×#481C22semidirect
62. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#480C22semidirect
68. C2×#469C22semidirect
71. C2×#468C22semidirect
74. C2×#466C22semidirect
77. C2×#465C22semidirect
82. C2×#449C22semidirect
83. C2×#449C22semidirect
84. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#428C22semidirect
87. C2×#417C22semidirect
88. C2×#416C22semidirect
89. C2×#416C22semidirect
90. C22×#102C22semidirect
92. C2×#407C22semidirect
93. C22×C22⋊C8C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2059C22semidirect
118. #2059C22semidirect
119. #2043C22semidirect
120. #2043C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2025C22semidirect
132. #2025C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
135. #2013C22semidirect
136. #2013C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
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
171. #1875C22semidirect
172. #1874C22semidirect
173. #1873C22semidirect
174. #1872C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
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
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1729C22semidirect
206. #1729C22semidirect
266. #537D4semidirect
267. #537D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35392
C2×#31982
C2×#30622
#372692
#255552
#255532
#255392
#255372
#255112
#255082
#244542
#244512
#244382
#244352
#243882
#243822
#241062
#241032
#240432
#240342
#239662
#239632
#238692
#238642
#217722
#209762
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