Finite Group Databasebeta

← #6499949

Subgroups — #6499949

Order 512.

3287 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic, complemented
2C2×#3196C211yesmaximal, characteristic, complemented
3C2×#3191C211yesmaximal, characteristic, complemented
4#35223C211yesmaximal, characteristic, complemented
5#25562C211yesmaximal, characteristic, complemented
6#25560C211yesmaximal, characteristic, complemented
7#25558C211yesmaximal, characteristic, complemented
8#25556C211yesmaximal, characteristic, complemented
9#25545C211yesmaximal, characteristic, complemented
10#25543C211yesmaximal, characteristic, complemented
11#25537C211yesmaximal, characteristic, complemented
12#25535C211yesmaximal, characteristic, complemented
13#24454C211yesmaximal, characteristic, complemented
14#24449C211yesmaximal, characteristic, complemented
15#24446C211yesmaximal, characteristic, complemented
16#24441C211yesmaximal, characteristic, complemented
17#24439C211yesmaximal, characteristic, complemented
18#24437C211yesmaximal, characteristic, complemented
19#24431C211yesmaximal, characteristic, complemented
20#24429C211yesmaximal, characteristic, complemented
21#24075C211yesmaximal, characteristic, complemented
22#24072C211yesmaximal, characteristic, complemented
23#24017C211yesmaximal, characteristic, complemented
24#24016C211yesmaximal, characteristic, complemented
25#23947C211yesmaximal, characteristic, complemented
26#23944C211yesmaximal, characteristic, complemented
27#23929C211yesmaximal, characteristic, complemented
28#23927C211yesmaximal, characteristic, complemented
29#21741C211yesmaximal, characteristic, complemented
30#20909C211yesmaximal, characteristic, complemented
31C2×#1872C211yesmaximal, characteristic, complemented
32#3541—28no—
33#3541—28no—
34C2×#563—21no—
35C2×#562—21no—
36C2×#556C2211yescharacteristic
37C2×#554—21no—
38C2×#554C2211yescharacteristic
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#552C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#547C2211yescharacteristic
46C2×#542—21no—
47C2×#542C2211yescharacteristic
48C2×#541C2211yescharacteristic
49C2×#539—21no—
50C2×#538—21no—
51C2×#538—21no—
52C2×#537C2211yescharacteristic
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C23×C4⋊C4C2211yescharacteristic
60#3196—28no—
61#3191—28no—
62C2×#484C2211yescharacteristic
63C2×#481C2211yescharacteristic
64C2×#485C2211yescharacteristic
65C2×#485C2211yescharacteristic
66C2×#485C2211yescharacteristic
67C2×#485C2211yescharacteristic
68C2×#482C2211yescharacteristic
69C2×#482C2211yescharacteristic
70C2×#470C2211yescharacteristic
71C2×#470C2211yescharacteristic
72C2×#468C2211yescharacteristic
73C2×#468C2211yescharacteristic
74C2×#467C2211yescharacteristic
75C2×#466C2211yescharacteristic
76C2×#465C2211yescharacteristic
77C2×#465C2211yescharacteristic
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic
81C2×#452C2211yescharacteristic
82C2×#452C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic
85C2×#449C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic
87C2×#451C2211yescharacteristic, complemented
88C2×#448C2211yescharacteristic
89C2×#448C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C22×#103C2211yescharacteristic
93C22×#103C2211yescharacteristic
94C2×#407C2211yescharacteristic
95C22×C22⋊C8C2211yescharacteristic
96#2847—21no—
97#2847—21no—
98#2618—21no—
99#2618—21no—
100#2417—21no—
101#2417—21no—
102#2417C2211yescharacteristic
103#2417C2211yescharacteristic
104#2417C2211yescharacteristic
105#2417C2211yescharacteristic
106#2416—21no—
107#2416—21no—
108#2416C2211yescharacteristic
109#2416C2211yescharacteristic
110#2416C2211yescharacteristic
111#2416C2211yescharacteristic
112#2316C2211yescharacteristic
113#2311C2211yescharacteristic
114#2311C2211yescharacteristic
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2043C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2026C2211yescharacteristic, complemented
132#2025C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2016C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1880C2211yescharacteristic, complemented
148#1880C2211yescharacteristic, complemented
149#1880C2211yescharacteristic, complemented
150#1879C2211yescharacteristic, complemented
151#1878C2211yescharacteristic, complemented
152#1878C2211yescharacteristic, complemented
153#1878C2211yescharacteristic, complemented
154#1877C2211yescharacteristic, complemented
155#1875C2211yescharacteristic, complemented
156#1874C2211yescharacteristic
157#1874C2211yescharacteristic
158#1874C2211yescharacteristic
159#1874C2211yescharacteristic
160#1874C2211yescharacteristic, complemented
161#1873C2211yescharacteristic, complemented
162#1872C2211yescharacteristic
163#1872C2211yescharacteristic
164#1872C2211yescharacteristic
165#1872C2211yescharacteristic
166#1872C2211yescharacteristic
167#1872C2211yescharacteristic
168#1872C2211yescharacteristic
169#1872C2211yescharacteristic
170#1872C2211yescharacteristic
171#1872C2211yescharacteristic
172#1872C2211yescharacteristic
173#1872C2211yescharacteristic
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1818C2211yescharacteristic
196#1818C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1780C2211yescharacteristic
202#1780C2211yescharacteristic
203#1736C2211yescharacteristic
204#1736C2211yescharacteristic
205C2×#340C2211yescharacteristic
206C2×#340C2211yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C24×C4—21no—
214C24×C4C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227#563—216no—
228#562—216no—
229#556—24no—
230#556—24no—
231#554—216no—
232#554—24no—
233#554—24no—
234#553—216no—
235#553—24no—
236#553—24no—
237#552—24no—
238#552—24no—
239D4×Q8—24no—
240D4×Q8—24no—
241#548—24no—
242#548—24no—
243#548—24no—
244#548—24no—
245#547—24no—
246#547—24no—
247#542—216no—
248#542—24no—
249#542—24no—
250#541—24no—
251#541—24no—
252#539—216no—
253#538—216no—
254#538—216no—
255#537—24no—
256#537—24no—
257#537—42no—
258#537—42no—
259#536—24no—
260#536—24no—
261C2×C4⋊Q8—21no—
262C2×C4⋊Q8—21no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2311yescharacteristic
265C2×#126—21no—
266C2×#126—21no—
267C2×#126—21no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#126—21no—
272C2×#125—21no—
273C2×#125—21no—
274C2×#125—21no—
275C2×#125—21no—
276C2×#125C2311yescharacteristic
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124C2311yescharacteristic
283#525—24no—
284#525—24no—
285#525—24no—
286#525—24no—
287#525—24no—
288#525D418yescomplemented
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×#123—21no—
298C2×#123D411yescharacteristic
299C2×#123D411yescharacteristic
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—24no—
304C2×C22⋊Q8—21no—
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⋊Q8D411yescharacteristic
313C2×C22⋊Q8D411yescharacteristic
314C2×C22⋊Q8D418yescomplemented
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121D411yescharacteristic
343C2×#121D411yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#120—21no—
352C2×#120—21no—
353C2×#120D411yescharacteristic
354C2×#120D411yescharacteristic
355C2×C4×Q8—21no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×#117—21no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C22×C4⋊C4—21no—
379C22×C4⋊C4—21no—
380C22×C4⋊C4—21no—
381C22×C4⋊C4—21no—
382C22×C4⋊C4—21no—
383C22×C4⋊C4—42no—
384C22×C4⋊C4—42no—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4—21no—
394#485—24no—
395#485—24no—
396#485—24no—
397#485—24no—
398#484—24no—
399#482—24no—
400#482—24no—
401#481—24no—
402#470—24no—
403#470—24no—
404#468—24no—
405#468—24no—
406#467—24no—
407#466—24no—
408#465—24no—
409#465—24no—
410#452—24no—
411#452—24no—
412#452—24no—
413#452—24no—
414#452—42no—
415#451—24no—
416#451—42no—
417#449—24no—
418#449—24no—
419#449—42no—
420#448—24no—
421#448—42no—
422C2×#107C2311yescharacteristic
423C2×#107C2311yescharacteristic
424C2×#107C2311yescharacteristic
425C2×#107C2311yescharacteristic
426C2×#106C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×#106C2311yescharacteristic
429C2×#106C2311yescharacteristic
430#417—42no—
431#417—42no—
432C2×#103—42no—
433C2×#103—42no—
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466#407—24no—
467C2×C22⋊C8—24no—
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484#398—21no—
485#398—21no—
486#398—21no—
487#398—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#396—21no—
492#396—21no—
493#396—21no—
494#396—21no—
495#396—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#391—21no—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390—21no—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389—21no—
507#389—21no—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#386—21no—
513#386—21no—
514#386—21no—
515#386—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#380—21no—
525#380—21no—
526#380—21no—
527#380—21no—
528#380—21no—
529#380—21no—
530#380—21no—
531#380—21no—
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
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
560C25C2×D411yescharacteristic
561C2×#41—22no—
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×#41C2×D414yes—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—21no—
588C22×Q8—21no—
589C22×Q8—21no—
590C22×Q8—22no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8C2×D414yes—
600C22×Q8C2×D411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×Q8C2411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×Q8C2411yescharacteristic
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×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2×D411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—44no—
643C23×C4—82no—
644C23×C4—82no—
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D414yes—
649C23×C4C2×D414yes—
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C2×Q16—22no—
656C2×Q16—22no—
657C2×Q16—22no—
658C2×Q16—41no—
659C2×Q16—41no—
660C2×Q16—41no—
661C2×Q16—41no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×D8—22no—
677C2×D8—41no—
678C2×D8—41no—
679C2×M16—22no—
680C2×M16—22no—
681C2×M16—41no—
682C2×M16—41no—
683C2×M16—41no—
684C2×M16—41no—
685C22×C8—22no—
686C22×C8—22no—
687C22×C8—41no—
688C22×C8—41no—
689C22×C8—41no—
690C22×C8—41no—
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C4⋊Q8—28no—
700C4⋊Q8—28no—
701C4⋊Q8—22no—
702C4⋊Q8—22no—
703C4⋊Q8—22no—
704C4⋊Q8—22no—
705#126—28no—
706#126—28no—
707#126—28no—
708#126—28no—
709#126—28no—
710#126—28no—
711#126—28no—
712#125—28no—
713#125—28no—
714#125—28no—
715#125—28no—
716#125—22no—
717#125—22no—
718#124—28no—
719#124—28no—
720#124—28no—
721#124—28no—
722#124—28no—
723#124—22no—
724#124—22no—
725#123—28no—
726#123—28no—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—28no—
732#123—28no—
733#123—24no—
734#123—24no—
735#123—44no—
736C22⋊Q8—28no—
737C22⋊Q8—28no—
738C22⋊Q8—28no—
739C22⋊Q8—28no—
740C22⋊Q8—28no—
741C22⋊Q8—28no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—28no—
748C22⋊Q8—28no—
749C22⋊Q8—24no—
750C22⋊Q8—24no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
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⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—44no—
769C22⋊Q8C2×D414yes—
770C22⋊Q8C2×D414yes—
771C22⋊Q8C2×D414yes—
772C22⋊Q8C2×D414yes—
773C22⋊Q8C2×D414yes—
774C22⋊Q8C2×D414yes—
775#121—28no—
776#121—28no—
777#121—28no—
778#121—28no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—22no—
783#121—24no—
784#121—24no—
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—41no—
795#121—41no—
796#121—44no—
797#121—44no—
798#121—44no—
799#121—82no—
800#121—82no—
801#121—82no—
802#121—82no—
803#121C2×D414yes—
804#121C2×D414yes—
805#120—28no—
806#120—24no—
807#120—24no—
808#120—44no—
809C4×Q8—28no—
810C4×Q8—22no—
811C4×Q8—22no—
812C4×Q8—22no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—22no—
822C4×D4—28no—
823C4×D4—28no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—44no—
834C4×D4—44no—
835#117—28no—
836#117—22no—
837#117—22no—
838#117—22no—
839#117—22no—
840#117—22no—
841#117—22no—
842#117—22no—
843#117C2×D414yes—
844C2×C4⋊C4—28no—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—22no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—22no—
870C2×C4⋊C4—22no—
871C2×C4⋊C4—22no—
872C2×C4⋊C4—22no—
873C2×C4⋊C4—22no—
874C2×C4⋊C4—22no—
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—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C22⋊C4—28no—
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⋊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×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—21no—
964C2×C42—21no—
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967#107—22no—
968#107—22no—
969#107—22no—
970#107—22no—
971#106—22no—
972#106—22no—
973#106—22no—
974#106—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—41no—
992#103—41no—
993#103—41no—
994#103—41no—
995#103—41no—
996#103—41no—
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—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017C22⋊C8—41no—
1018C22⋊C8—41no—
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—22no—
1036C24—22no—
1037C24—21no—
1038C24—21no—
1039C24—41no—
1040C24—41no—
1041C24—41no—
1042C24—41no—
1043C24#12014yes—
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046C24C22×D411yescharacteristic
1047C24C22×D411yescharacteristic
1048C24C22×D411yescharacteristic
1049#41—44no—
1050#41—44no—
1051#41—82no—
1052#41—82no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
1064#41—82no—
1065C2×Q8—24no—
1066C2×Q8—24no—
1067C2×Q8—24no—
1068C2×Q8—22no—
1069C2×Q8—21no—
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—21no—
1081C2×Q8—21no—
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—41no—
1091C2×Q8—41no—
1092C2×Q8—44no—
1093C2×Q8—44no—
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—82no—
1105C2×Q8—82no—
1106C2×Q8C22×D412yes—
1107C2×Q8C22×D412yes—
1108C2×Q8C22×D412yes—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—22no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—22no—
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—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
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×D4C22×D412yes—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
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—24no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—816no—
1263C22×C4#12014yes—
1264C22×C4#12014yes—
1265C22×C4#12014yes—
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D412yes—
1276C22×C4C22×D412yes—
1277C22×C4C22×D412yes—
1278C22×C4C22×D412yes—
1279C22×C4C22×D412yes—
1280C22×C4C22×D412yes—
1281C22×C4C2511yescharacteristic
1282Q16—82no—
1283Q16—82no—
1284Q16—82no—
1285SD16—82no—
1286SD16—82no—
1287SD16—82no—
1288SD16—82no—
1289D8—82no—
1290M16—82no—
1291M16—82no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
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—82no—
1317C2×C8—82no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
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—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—81no—
1368C4⋊C4—81no—
1369C4⋊C4—81no—
1370C4⋊C4—81no—
1371C4⋊C4C22×D412yes—
1372C4⋊C4C22×D412yes—
1373C4⋊C4C22×D412yes—
1374C4⋊C4C22×D412yes—
1375C4⋊C4H(5,𝔽2)12yes—
1376C4⋊C4H(5,𝔽2)12yes—
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—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
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—42no—
1412C22⋊C4—42no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—42no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—28no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23C2×#12012yes—
1483C23C2×#12012yes—
1484C23C2×#12012yes—
1485C23#57712yes—
1486C23#57812yes—
1487C23C23×D411yescharacteristic
1488Q8—22no—
1489Q8—22no—
1490Q8—22no—
1491Q8—22no—
1492Q8—22no—
1493Q8—22no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—84no—
1505Q8—82no—
1506Q8—84no—
1507Q8—84no—
1508D4—22no—
1509D4—22no—
1510D4—44no—
1511D4—44no—
1512D4—48no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—82no—
1520D4—82no—
1521D4—82no—
1522D4—82no—
1523D4—82no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—162no—
1532D4—162no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
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—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4C2×#12012yes—
1637C2×C4C2×#12012yes—
1638C2×C4C2×#12012yes—
1639C2×C4C23×D411yescharacteristic
1640C2×C4C23×D411yescharacteristic
1641C2×C4C2×H(5,𝔽2)11yescharacteristic
1642C2×C4C2×H(5,𝔽2)11yescharacteristic
1643C2×C4#58511yescharacteristic
1644C2×C4#58511yescharacteristic
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8—41no—
1649C8—41no—
1650C8—41no—
1651C8—41no—
1652C8—41no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—416no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22#301314yes—
1703C22C22×#12011yescharacteristic
1704C22#348411yescharacteristic
1705C22#348511yescharacteristic
1706C22C2×#57711yescharacteristic
1707C22C2×#57811yescharacteristic
1708C22#358511yescharacteristic
1709C22#358611yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4#349611yescharacteristic
1734C4#349611yescharacteristic
1735C4#349611yescharacteristic
1736C4#349611yescharacteristic
1737C2—24no—
1738C2—42no—
1739C2—42no—
1740C2—81no—
1741C2—81no—
1742C2—82no—
1743C2—161no—
1744C2#3534711yescharacteristic
1745C2C2×#301311yescharacteristic
1746C2#6037111yescharacteristic
1747C2#6161011yescharacteristic
1748C2#6161211yescharacteristic
1749C2#6174511yescharacteristic
1750C2#6174711yescharacteristic
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×#3541C2semidirect
2. C2×#3196C2semidirect
3. C2×#3191C2semidirect
4. #35223C2semidirect
5. #25562C2semidirect
6. #25560C2semidirect
7. #25558C2semidirect
8. #25556C2semidirect
9. #25545C2semidirect
10. #25543C2semidirect
11. #25537C2semidirect
12. #25535C2semidirect
13. #24454C2semidirect
14. #24449C2semidirect
15. #24446C2semidirect
16. #24441C2semidirect
17. #24439C2semidirect
18. #24437C2semidirect
19. #24431C2semidirect
20. #24429C2semidirect
21. #24075C2semidirect
22. #24072C2semidirect
23. #24017C2semidirect
24. #24016C2semidirect
25. #23947C2semidirect
26. #23944C2semidirect
27. #23929C2semidirect
28. #23927C2semidirect
29. #21741C2semidirect
30. #20909C2semidirect
31. C2×#1872C2semidirect
82. C2×#452C22semidirect
85. C2×#449C22semidirect
87. C2×#451C22semidirect
89. C2×#448C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2058C22semidirect
118. #2057C22semidirect
119. #2043C22semidirect
120. #2043C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2036C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2026C22semidirect
132. #2025C22semidirect
133. #2024C22semidirect
134. #2023C22semidirect
135. #2016C22semidirect
136. #2015C22semidirect
137. #2013C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #1999C22semidirect
147. #1880C22semidirect
148. #1880C22semidirect
149. #1880C22semidirect
150. #1879C22semidirect
151. #1878C22semidirect
152. #1878C22semidirect
153. #1878C22semidirect
154. #1877C22semidirect
155. #1875C22semidirect
160. #1874C22semidirect
161. #1873C22semidirect
174. #1872C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1865C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
193. #1853C22semidirect
194. #1852C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
288. #525D4semidirect
314. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C2×#31962
C2×#31912
#352232
#255622
#255602
#255582
#255562
#255452
#255432
#255372
#255352
#244542
#244492
#244462
#244412
#244392
#244372
#244312
#244292
#240752
#240722
#240172
#240162
#239472
#239442
#239292
#239272
#217412
#209092
C2×#18722