Finite Group Databasebeta

← #6499920

Subgroups — #6499920

Order 512.

3425 conjugacy classes of subgroups.

The subgroup lattice has 1789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic, complemented
2C2×#3197C211yesmaximal, characteristic, complemented
3C2×#3191C211yesmaximal, characteristic, complemented
4#34737C211yesmaximal, characteristic, complemented
5#25562C211yesmaximal, characteristic, complemented
6#25560C211yesmaximal, characteristic, complemented
7#25550C211yesmaximal, characteristic, complemented
8#25548C211yesmaximal, characteristic, complemented
9#25546C211yesmaximal, characteristic, complemented
10#25544C211yesmaximal, characteristic, complemented
11#25534C211yesmaximal, characteristic, complemented
12#25532C211yesmaximal, characteristic, complemented
13#24452C211yesmaximal, characteristic, complemented
14#24449C211yesmaximal, characteristic, complemented
15#24444C211yesmaximal, characteristic, complemented
16#24441C211yesmaximal, characteristic, complemented
17#24436C211yesmaximal, characteristic, complemented
18#24433C211yesmaximal, characteristic, complemented
19#24428C211yesmaximal, characteristic, complemented
20#24425C211yesmaximal, characteristic, complemented
21#24068C211yesmaximal, characteristic, complemented
22#24068C211yesmaximal, characteristic, complemented
23#24010C211yesmaximal, characteristic, complemented
24#24009C211yesmaximal, characteristic, complemented
25#23938C211yesmaximal, characteristic, complemented
26#23938C211yesmaximal, characteristic, complemented
27#23922C211yesmaximal, characteristic, complemented
28#23920C211yesmaximal, characteristic, complemented
29#21740C211yesmaximal, characteristic, complemented
30#20910C211yesmaximal, characteristic, complemented
31#20908C211yesmaximal, characteristic, complemented
32#3505—28no—
33#3505—28no—
34C2×#553—21no—
35C2×#553—21no—
36C2×#553C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#552C2211yescharacteristic
40C2×#551—21no—
41C2×#551—21no—
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×#539—21no—
47C2×#538—21no—
48C2×#534—21no—
49C2×#529C2211yescharacteristic
50C2×#529C2211yescharacteristic
51C2×#525C2211yescharacteristic
52C2×#525C2211yescharacteristic
53C2×#525C2211yescharacteristic
54C2×#525C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C2×#518—21no—
58C22×C4×D4C2211yescharacteristic
59C22×#117C2211yescharacteristic, complemented
60#3197—28no—
61#3191—28no—
62C2×#485C2211yescharacteristic, complemented
63C2×#485C2211yescharacteristic, complemented
64C2×#485C2211yescharacteristic, complemented
65C2×#485C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic
67C2×#482C2211yescharacteristic
68C2×#482C2211yescharacteristic, complemented
69C2×#482C2211yescharacteristic, complemented
70C2×#470C2211yescharacteristic, complemented
71C2×#469C2211yescharacteristic, complemented
72C2×#468C2211yescharacteristic, complemented
73C2×#468C2211yescharacteristic, complemented
74C2×#467C2211yescharacteristic, complemented
75C2×#466C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic, complemented
85C2×#449C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic, complemented
87C2×#448C2211yescharacteristic, complemented
88C2×#450C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C2×#416C2211yescharacteristic, complemented
94C2×#407C2211yescharacteristic, complemented
95C22×C22⋊C8C2211yescharacteristic, complemented
96#2417C2211yescharacteristic
97#2417C2211yescharacteristic, complemented
98#2416C2211yescharacteristic
99#2416C2211yescharacteristic, complemented
100#2415C2211yescharacteristic
101#2415C2211yescharacteristic, complemented
102#2414C2211yescharacteristic
103#2414C2211yescharacteristic, complemented
104#2413—21no—
105#2412—21no—
106#2411—21no—
107#2410—21no—
108#2392—21no—
109#2392—21no—
110C4×#121—21no—
111C4×#121—21no—
112#2297C2211yescharacteristic, complemented
113#2296C2211yescharacteristic, complemented
114#2280C2211yescharacteristic
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#2026C2211yescharacteristic, complemented
132#2026C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1880C2211yescharacteristic, complemented
148#1880C2211yescharacteristic, complemented
149#1879C2211yescharacteristic, complemented
150#1879C2211yescharacteristic, complemented
151#1878C2211yescharacteristic, complemented
152#1878C2211yescharacteristic, complemented
153#1877C2211yescharacteristic, complemented
154#1877C2211yescharacteristic, complemented
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic
157#1875C2211yescharacteristic
158#1875C2211yescharacteristic
159#1875C2211yescharacteristic, complemented
160#1875C2211yescharacteristic, complemented
161#1874C2211yescharacteristic, complemented
162#1874C2211yescharacteristic, complemented
163#1874C2211yescharacteristic, complemented
164#1874C2211yescharacteristic, complemented
165#1873C2211yescharacteristic, complemented
166#1873C2211yescharacteristic, complemented
167#1873C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1873C2211yescharacteristic, complemented
170#1873C2211yescharacteristic, complemented
171#1872C2211yescharacteristic, complemented
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, 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#1853C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1817C2211yescharacteristic, complemented
196#1817C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1779C2211yescharacteristic
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205#1735C2211yescharacteristic, complemented
206#1735C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4—21no—
212C23×D4D411yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#553—216no—
229#553—216no—
230#553—24no—
231#553—24no—
232#553—24no—
233#553—24no—
234#552—24no—
235#552—24no—
236#552—24no—
237#552—24no—
238#551—216no—
239#551—216no—
240#548—24no—
241#548—24no—
242#548—24no—
243#548—24no—
244#546—24no—
245#546—24no—
246#546—24no—
247#546—24no—
248#539—216no—
249#538—216no—
250#534—216no—
251#529—24no—
252#529—24no—
253#529—24no—
254#529—24no—
255C2×#126—21no—
256C2×#126—21no—
257C2×#126—21no—
258C2×#126—21no—
259C2×#126—21no—
260C2×#126—21no—
261C2×#125—21no—
262C2×#125—21no—
263C2×#125C2311yescharacteristic
264C2×#125C2311yescharacteristic
265C2×#124—21no—
266C2×#124—21no—
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269#525—24no—
270#525—24no—
271#525—24no—
272#525—24no—
273#525—42no—
274#525—42no—
275#525D418yescomplemented
276#525D418yescomplemented
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×C22⋊Q8—21no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—24no—
292C2×C22⋊Q8—24no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—24no—
312C2×#121—24no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333#518—216no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×D4—24no—
337C2×C4×D4—24no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4—21no—
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4D411yescharacteristic
353C2×C4×D4D411yescharacteristic
354C2×C4×D4D411yescharacteristic
355C2×C4×D4D411yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117—21no—
363C2×#117—21no—
364C2×#117—21no—
365C2×#117—21no—
366C2×#117—21no—
367C2×#117—21no—
368C2×#117—42no—
369C2×#117—42no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C22×C4⋊C4—21no—
378C22×C4⋊C4D411yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C22⋊C4—21no—
384C22×C22⋊C4—21no—
385C22×C22⋊C4—21no—
386C22×C22⋊C4—21no—
387C22×C22⋊C4—21no—
388C22×C22⋊C4D411yescharacteristic
389C22×C22⋊C4D411yescharacteristic
390C22×C42—21no—
391C22×C42C2311yescharacteristic
392#485—24no—
393#485—24no—
394#485—24no—
395#485—24no—
396#482—24no—
397#482—24no—
398#482—24no—
399#482—24no—
400#470—24no—
401#469—24no—
402#468—24no—
403#468—24no—
404#467—24no—
405#466—24no—
406#465—24no—
407#465—24no—
408#452—24no—
409#452—24no—
410#452—24no—
411#452—24no—
412#451—42no—
413#450—42no—
414#449—24no—
415#449—24no—
416#449—24no—
417#449—24no—
418#448—42no—
419#447—42no—
420C2×#107C2311yescharacteristic
421C2×#107C2311yescharacteristic
422C2×#107C2311yescharacteristic
423C2×#107C2311yescharacteristic
424C2×#106C2311yescharacteristic
425C2×#106C2311yescharacteristic
426C2×#106C2311yescharacteristic
427C2×#106C2311yescharacteristic
428#417—42no—
429#417—42no—
430#416—42no—
431#416—42no—
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464#407—24no—
465C2×C22⋊C8—24no—
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
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
482#398—21no—
483#398—21no—
484#397—21no—
485#397—21no—
486#396—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#392—21no—
497#392—21no—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#390—21no—
501#390—21no—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#389—21no—
505#389—21no—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#385—21no—
521#385—21no—
522#381—21no—
523#380—21no—
524#380—21no—
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#379—21no—
530C4×C4⋊C4—21no—
531C4×C4⋊C4—21no—
532C4×C22⋊C4—21no—
533C4×C22⋊C4—21no—
534C4×C22⋊C4—21no—
535C4×C22⋊C4—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
562C25C2×D411yescharacteristic
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41C2×D414yes—
580C2×#41C2×D414yes—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—21no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—28no—
592C22×D4—24no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—44no—
616C22×D4—44no—
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2411yescharacteristic
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—22no—
632C23×C4—22no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4C2×D411yescharacteristic
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2×D411yescharacteristic
650C23×C4C2×D411yescharacteristic
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D414yes—
653C23×C4C2×D414yes—
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C2×Q16—22no—
660C2×Q16—22no—
661C2×Q16—41no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×M16—22no—
684C2×M16—22no—
685C2×M16—41no—
686C2×M16—41no—
687C2×M16—41no—
688C2×M16—41no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—41no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8—41no—
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703#126—28no—
704#126—28no—
705#126—28no—
706#126—28no—
707#126—28no—
708#126—28no—
709#125—28no—
710#125—28no—
711#125—22no—
712#125—22no—
713#125—22no—
714#125—22no—
715#124—28no—
716#124—28no—
717#124—22no—
718#124—22no—
719#124—22no—
720#124—22no—
721#123—28no—
722#123—28no—
723#123—28no—
724#123—28no—
725#123—28no—
726#123—28no—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—44no—
732#123—44no—
733C22⋊Q8—28no—
734C22⋊Q8—28no—
735C22⋊Q8—28no—
736C22⋊Q8—28no—
737C22⋊Q8—22no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8C2×D414yes—
754C22⋊Q8C2×D414yes—
755C22⋊Q8C2×D414yes—
756C22⋊Q8C2×D414yes—
757#121—28no—
758#121—28no—
759#121—28no—
760#121—28no—
761#121—28no—
762#121—28no—
763#121—28no—
764#121—28no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—41no—
780#121—41no—
781#121—44no—
782#121—44no—
783#121C2×D414yes—
784#121C2×D414yes—
785#121C2×D414yes—
786#121C2×D414yes—
787#120—28no—
788#120—28no—
789#120—28no—
790#120—28no—
791#120—44no—
792#120—44no—
793C4×Q8—22no—
794C4×Q8—22no—
795C4×Q8—22no—
796C4×Q8—22no—
797C4×D4—28no—
798C4×D4—28no—
799C4×D4—28no—
800C4×D4—28no—
801C4×D4—28no—
802C4×D4—28no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—24no—
806C4×D4—24no—
807C4×D4—24no—
808C4×D4—24no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—44no—
826C4×D4—44no—
827#117—28no—
828#117—28no—
829#117—28no—
830#117—28no—
831#117—22no—
832#117—22no—
833#117—22no—
834#117—22no—
835#117—22no—
836#117—22no—
837#117—22no—
838#117—22no—
839#117—44no—
840#117—44no—
841#117—41no—
842#117—41no—
843#117—41no—
844#117—41no—
845#117C2×D414yes—
846#117C2×D414yes—
847C2×C4⋊C4—28no—
848C2×C4⋊C4—24no—
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—21no—
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—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
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⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—28no—
896C2×C22⋊C4—28no—
897C2×C22⋊C4—28no—
898C2×C22⋊C4—28no—
899C2×C22⋊C4—24no—
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—24no—
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—44no—
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
952C2×C42—21no—
953C2×C42—21no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—22no—
957C2×C42—22no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—44no—
963C2×C42C2×D411yescharacteristic
964C2×C42C2×D411yescharacteristic
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—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—41no—
1004#102—41no—
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—22no—
1038C24—24no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—41no—
1043C24—41no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24—41no—
1048C24—41no—
1049C24—41no—
1050C24—41no—
1051C24—41no—
1052C24—42no—
1053C24—42no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24#12014yes—
1059C24C22×D411yescharacteristic
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064#41—44no—
1065#41—44no—
1066#41—44no—
1067#41—44no—
1068#41—82no—
1069#41—82no—
1070#41—82no—
1071#41—82no—
1072#41—82no—
1073#41—82no—
1074#41—82no—
1075#41—82no—
1076C2×Q8—24no—
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—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—82no—
1096C2×Q8—82no—
1097C2×Q8—82no—
1098C2×Q8—82no—
1099C2×Q8C22×D412yes—
1100C2×Q8C22×D412yes—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
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—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—416no—
1141C2×D4—432no—
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—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—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
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×D4C22×D412yes—
1178C2×D4C22×D412yes—
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—24no—
1192C22×C4—22no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
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—21no—
1218C22×C4—21no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—82no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
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×C4#12014yes—
1276C22×C4#12014yes—
1277C22×C4#12014yes—
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D412yes—
1288C22×C4C22×D412yes—
1289C22×C4C22×D412yes—
1290C22×C4C22×D412yes—
1291C22×C4C22×D412yes—
1292C22×C4C22×D412yes—
1293C22×C4C2511yescharacteristic
1294Q16—82no—
1295Q16—82no—
1296SD16—82no—
1297SD16—82no—
1298SD16—82no—
1299SD16—82no—
1300D8—82no—
1301D8—82no—
1302M16—82no—
1303M16—82no—
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—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—82no—
1329C2×C8—82no—
1330C4⋊C4—24no—
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—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
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—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—81no—
1371C4⋊C4—81no—
1372C4⋊C4C22×D412yes—
1373C4⋊C4C22×D412yes—
1374C4⋊C4C22×D412yes—
1375C4⋊C4C22×D412yes—
1376C4⋊C4H(5,𝔽2)12yes—
1377C4⋊C4H(5,𝔽2)12yes—
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—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—42no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C23—28no—
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—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—48no—
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—82no—
1499C23—82no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23—82no—
1505C23—82no—
1506C23—82no—
1507C23—82no—
1508C23—84no—
1509C23—84no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23C2×#12012yes—
1515C23C2×#12012yes—
1516C23C2×#12012yes—
1517C23#57512yes—
1518C23#57512yes—
1519C23C23×D411yescharacteristic
1520Q8—22no—
1521Q8—22no—
1522Q8—22no—
1523Q8—22no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—84no—
1533D4—22no—
1534D4—22no—
1535D4—22no—
1536D4—22no—
1537D4—44no—
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—48no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
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—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—84no—
1656C2×C4—82no—
1657C2×C4—82no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4C2×#12012yes—
1665C2×C4C2×#12012yes—
1666C2×C4C2×#12012yes—
1667C2×C4C23×D411yescharacteristic
1668C2×C4C23×D411yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4#58511yescharacteristic
1672C2×C4#58511yescharacteristic
1673C8—41no—
1674C8—41no—
1675C8—41no—
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—88no—
1723C22—88no—
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—168no—
1740C22C22×#12011yescharacteristic
1741C22#348411yescharacteristic
1742C22#348511yescharacteristic
1743C22C2×#57511yescharacteristic
1744C22C2×#57511yescharacteristic
1745C22#358411yescharacteristic
1746C22#358411yescharacteristic
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—41no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—81no—
1765C4—81no—
1766C4—81no—
1767C4—81no—
1768C4—81no—
1769C4#349611yescharacteristic
1770C4#349611yescharacteristic
1771C4#349611yescharacteristic
1772C4#349611yescharacteristic
1773C2—42no—
1774C2—42no—
1775C2—42no—
1776C2—42no—
1777C2—42no—
1778C2—82no—
1779C2—82no—
1780C2—161no—
1781C2#3534711yescharacteristic
1782C2#6035911yescharacteristic
1783C2#6036611yescharacteristic
1784C2#6159711yescharacteristic
1785C2#6160611yescharacteristic
1786C2#6173211yescharacteristic
1787C2#6174111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3505C2semidirect
2. C2×#3197C2semidirect
3. C2×#3191C2semidirect
4. #34737C2semidirect
5. #25562C2semidirect
6. #25560C2semidirect
7. #25550C2semidirect
8. #25548C2semidirect
9. #25546C2semidirect
10. #25544C2semidirect
11. #25534C2semidirect
12. #25532C2semidirect
13. #24452C2semidirect
14. #24449C2semidirect
15. #24444C2semidirect
16. #24441C2semidirect
17. #24436C2semidirect
18. #24433C2semidirect
19. #24428C2semidirect
20. #24425C2semidirect
21. #24068C2semidirect
22. #24068C2semidirect
23. #24010C2semidirect
24. #24009C2semidirect
25. #23938C2semidirect
26. #23938C2semidirect
27. #23922C2semidirect
28. #23920C2semidirect
29. #21740C2semidirect
30. #20910C2semidirect
31. #20908C2semidirect
54. C2×#525C22semidirect
59. C22×#117C22semidirect
62. C2×#485C22semidirect
63. C2×#485C22semidirect
64. C2×#485C22semidirect
65. C2×#485C22semidirect
68. C2×#482C22semidirect
69. C2×#482C22semidirect
70. C2×#470C22semidirect
71. C2×#469C22semidirect
72. C2×#468C22semidirect
73. C2×#468C22semidirect
74. C2×#467C22semidirect
75. C2×#466C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
84. C2×#449C22semidirect
85. C2×#449C22semidirect
86. C2×#451C22semidirect
87. C2×#448C22semidirect
88. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#417C22semidirect
91. C2×#417C22semidirect
92. C2×#416C22semidirect
93. C2×#416C22semidirect
94. C2×#407C22semidirect
95. C22×C22⋊C8C22semidirect
97. #2417C22semidirect
99. #2416C22semidirect
101. #2415C22semidirect
103. #2414C22semidirect
112. #2297C22semidirect
113. #2296C22semidirect
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. #2026C22semidirect
132. #2026C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1880C22semidirect
148. #1880C22semidirect
149. #1879C22semidirect
150. #1879C22semidirect
151. #1878C22semidirect
152. #1878C22semidirect
153. #1877C22semidirect
154. #1877C22semidirect
159. #1875C22semidirect
160. #1875C22semidirect
161. #1874C22semidirect
162. #1874C22semidirect
163. #1874C22semidirect
164. #1874C22semidirect
165. #1873C22semidirect
166. #1873C22semidirect
167. #1873C22semidirect
168. #1873C22semidirect
169. #1873C22semidirect
170. #1873C22semidirect
171. #1872C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
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. #1853C22semidirect
192. #1853C22semidirect
193. #1852C22semidirect
194. #1852C22semidirect
195. #1817C22semidirect
196. #1817C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
205. #1735C22semidirect
206. #1735C22semidirect
275. #525D4semidirect
276. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#31972
C2×#31912
#347372
#255622
#255602
#255502
#255482
#255462
#255442
#255342
#255322
#244522
#244492
#244442
#244412
#244362
#244332
#244282
#244252
#240682
#240102
#240092
#239382
#239222
#239202
#217402
#209102
#209082