Finite Group Databasebeta

← #6591567

Subgroups — #6591567

Order 512.

4140 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic
2C2×#3327C211yesmaximal, characteristic, complemented
3C2×#3315C211yesmaximal, characteristic, complemented
4#37837C211yesmaximal, characteristic, complemented
5#32968C211yesmaximal, characteristic, complemented
6#32887C211yesmaximal, characteristic, complemented
7#32883C211yesmaximal, characteristic, complemented
8#25894C211yesmaximal, characteristic, complemented
9#25890C211yesmaximal, characteristic, complemented
10#25868C211yesmaximal, characteristic, complemented
11#24452C211yesmaximal, characteristic, complemented
12#24449C211yesmaximal, characteristic, complemented
13#24446C211yesmaximal, characteristic, complemented
14#24437C211yesmaximal, characteristic, complemented
15#24393C211yesmaximal, characteristic, complemented
16#24386C211yesmaximal, characteristic, complemented
17#24259C211yesmaximal, characteristic, complemented
18#24243C211yesmaximal, characteristic, complemented
19#24221C211yesmaximal, characteristic, complemented
20#24054C211yesmaximal, characteristic, complemented
21#24053C211yesmaximal, characteristic, complemented
22#24051C211yesmaximal, characteristic, complemented
23#24037C211yesmaximal, characteristic, complemented
24#24017C211yesmaximal, characteristic, complemented
25#24006C211yesmaximal, characteristic, complemented
26#22431C211yesmaximal, characteristic, complemented
27#22421C211yesmaximal, characteristic, complemented
28#22400C211yesmaximal, characteristic, complemented
29#21465C211yesmaximal, characteristic, complemented
30#20603C211yesmaximal, characteristic, complemented
31#20601C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3489—28no—
35#3489—28no—
36C2×#552C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#547—21no—
42C2×#547—21no—
43C2×#547C2211yescharacteristic
44C2×#547C2211yescharacteristic
45C2×#546—21no—
46C2×#546—21no—
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#537—21no—
50C2×#537C2211yescharacteristic
51C2×#536—21no—
52C2×#536C2211yescharacteristic
53C2×#525—21no—
54C2×#525C2211yescharacteristic
55C22×C22⋊Q8—21no—
56C22×C22⋊Q8C2211yescharacteristic
57C2×#520C2211yescharacteristic
58#3327—28no—
59#3315—28no—
60C2×#491C2211yescharacteristic, complemented
61C2×#488C2211yescharacteristic, complemented
62C2×#484C2211yescharacteristic, complemented
63C2×#484C2211yescharacteristic, complemented
64C2×#485C2211yescharacteristic, complemented
65C2×#482C2211yescharacteristic, complemented
66C2×#479C2211yescharacteristic, complemented
67C2×#478C2211yescharacteristic, complemented
68C2×#470C2211yescharacteristic, complemented
69C2×#470C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#467C2211yescharacteristic, complemented
72C2×#464C2211yescharacteristic, complemented
73C2×#462C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic
76C2×#452C2211yescharacteristic
77C2×#452C2211yescharacteristic
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic
81C2×#451C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic, complemented
83C2×#451C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#440C2211yescharacteristic, complemented
86C2×C4×Q16C2211yescharacteristic, complemented
87C2×#436C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#417C2211yescharacteristic
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C2×#417C2211yescharacteristic
93C2×#417C2211yescharacteristic, complemented
94C2×#419C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#103C2211yescharacteristic, complemented
97C2×#408C2211yescharacteristic, complemented
98C2×#407C2211yescharacteristic
99#2848C2211yescharacteristic
100#2707—21no—
101#2704—21no—
102#2695—21no—
103#2691—21no—
104#2629C2211yescharacteristic, complemented
105#2616C2211yescharacteristic, complemented
106#2562C2211yescharacteristic
107#2538C2211yescharacteristic
108#2534—21no—
109#2486C2211yescharacteristic, complemented
110#2485C2211yescharacteristic
111#2438—21no—
112#2425—21no—
113#2417C2211yescharacteristic
114#2417C2211yescharacteristic, complemented
115#2411—21no—
116D4×C4⋊C4C2211yescharacteristic, complemented
117#2323C2211yescharacteristic, complemented
118#2311C2211yescharacteristic, complemented
119C2×#380C2211yescharacteristic
120#2043C2211yescharacteristic, complemented
121#2043C2211yescharacteristic, complemented
122#2043C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2036C2211yescharacteristic
129#2036C2211yescharacteristic
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic
133#2035C2211yescharacteristic
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic
142#2001C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1983C2211yescharacteristic, complemented
145#1981C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1956C2211yescharacteristic, complemented
148#1955C2211yescharacteristic
149#1954C2211yescharacteristic
150#1894C2211yescharacteristic, complemented
151#1894C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1878C2211yescharacteristic, complemented
155#1877C2211yescharacteristic, complemented
156#1874C2211yescharacteristic, complemented
157#1872C2211yescharacteristic, complemented
158#1872C2211yescharacteristic, complemented
159#1872C2211yescharacteristic, complemented
160#1872C2211yescharacteristic, complemented
161#1870C2211yescharacteristic
162#1870C2211yescharacteristic, complemented
163#1870C2211yescharacteristic, complemented
164#1869C2211yescharacteristic
165#1865C2211yescharacteristic, complemented
166#1864C2211yescharacteristic, complemented
167#1863C2211yescharacteristic, complemented
168#1863C2211yescharacteristic, complemented
169#1862C2211yescharacteristic, complemented
170#1862C2211yescharacteristic, complemented
171#1853C2211yescharacteristic, complemented
172#1852C2211yescharacteristic, complemented
173#1852C2211yescharacteristic, complemented
174#1803C2211yescharacteristic, complemented
175#1802C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1788C2211yescharacteristic
178#1788C2211yescharacteristic
179#1788C2211yescharacteristic
180#1788C2211yescharacteristic
181#1788C2211yescharacteristic
182#1788C2211yescharacteristic
183#1788C2211yescharacteristic
184#1788C2211yescharacteristic
185#1788C2211yescharacteristic, complemented
186#1788C2211yescharacteristic, complemented
187#1788C2211yescharacteristic, complemented
188#1788C2211yescharacteristic, complemented
189#1787C2211yescharacteristic
190#1787C2211yescharacteristic
191#1787C2211yescharacteristic
192#1787C2211yescharacteristic, complemented
193#1787C2211yescharacteristic, complemented
194#1787C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1780C2211yescharacteristic, complemented
203#1779C2211yescharacteristic
204#1763C2211yescharacteristic, complemented
205C4×#102C2211yescharacteristic, complemented
206#1750C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—24no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—24no—
214C22×#41—24no—
215C22×#41—21no—
216C22×#41—21no—
217C22×#41—21no—
218C22×#41—21no—
219C22×#41—21no—
220C22×#41—24no—
221C22×#41—42no—
222C22×#41—42no—
223C22×#41—42no—
224C22×#41C2311yescharacteristic
225C22×#41C2311yescharacteristic
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2311yescharacteristic
229C22×#41C2311yescharacteristic
230C22×#41C2311yescharacteristic
231C23×Q8—21no—
232C23×Q8C2311yescharacteristic
233C23×Q8C2311yescharacteristic
234C23×Q8C2311yescharacteristic
235C23×Q8C2311yescharacteristic
236C23×D4—21no—
237C23×D4C2311yescharacteristic
238C24×C4—21no—
239C24×C4C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#552—24no—
251#552—24no—
252D4×Q8—24no—
253D4×Q8—24no—
254D4×Q8—24no—
255D4×Q8—24no—
256#548—24no—
257#548—24no—
258#548—24no—
259#548D418yes—
260#547—216no—
261#547—216no—
262#547—24no—
263#547—24no—
264#547—24no—
265#547D418yes—
266#546—216no—
267#546—216no—
268#546—24no—
269#546—24no—
270#546—24no—
271#546—24no—
272#537—216no—
273#537—24no—
274#537—24no—
275#536—216no—
276#536—24no—
277#536—24no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×#126—21no—
283C2×#125—21no—
284C2×#125C2311yescharacteristic
285C2×#124—21no—
286C2×#124—21no—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289#525—216no—
290#525—24no—
291#525—24no—
292C2×#123—21no—
293C2×#123—21no—
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×#123D411yescharacteristic
303C2×#123D411yescharacteristic
304C2×C22⋊Q8—216no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—24no—
309C2×C22⋊Q8—24no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8—21no—
318C2×C22⋊Q8D411yescharacteristic
319C2×C22⋊Q8D411yescharacteristic
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×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
341C2×#121D411yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120—21no—
345C2×#120—21no—
346C2×#120D411yescharacteristic
347C2×#120D411yescharacteristic
348#520—24no—
349#520—24no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4—21no—
354C2×C4×D4—21no—
355C2×C4×D4—21no—
356C2×C4×D4—21no—
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×#117—21no—
367C2×#117—21no—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C22×C4⋊C4—21no—
371C22×C4⋊C4—21no—
372C22×C4⋊C4—21no—
373C22×C4⋊C4—21no—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382#491—24no—
383#488—24no—
384#485—24no—
385#484—24no—
386#484—24no—
387#482—24no—
388#479—24no—
389#478—24no—
390#470—24no—
391#470—24no—
392#468—24no—
393#467—24no—
394#464—24no—
395#462—24no—
396#452—24no—
397#452—24no—
398#452—24no—
399#452—24no—
400#452—42no—
401#452—42no—
402#451—24no—
403#451—42no—
404#451—42no—
405#451—42no—
406#450—42no—
407#440—24no—
408C4×Q16—24no—
409#436—24no—
410#435—24no—
411C2×#107C2311yescharacteristic
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×C4⋊C8C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419#419—24no—
420#417—24no—
421#417—24no—
422#417—42no—
423#417—42no—
424#417—42no—
425#416—24no—
426C2×#103—42no—
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
456C2×#103C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471#408—42no—
472#407—42no—
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
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×#97C2311yescharacteristic
490C2×C4×C8C2311yescharacteristic
491#400—21no—
492#398—21no—
493#398—21no—
494#398—21no—
495#398—21no—
496#398—21no—
497#397—21no—
498#397—21no—
499#396—21no—
500#396—21no—
501#396—21no—
502#396—21no—
503#396—21no—
504#396—21no—
505#395—21no—
506#394—21no—
507#394—21no—
508#394—21no—
509#394—21no—
510#394—21no—
511#391—21no—
512#391C2311yescharacteristic
513#390—21no—
514#390—21no—
515#389—21no—
516#389—21no—
517#389—21no—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#387—21no—
527#387—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#385—21no—
537#384C2311yescharacteristic
538#381—21no—
539#380—21no—
540#380—21no—
541#380—21no—
542#380—21no—
543#380C2311yescharacteristic
544#380C2311yescharacteristic
545#380C2311yescharacteristic
546#380C2311yescharacteristic
547#380C2311yescharacteristic
548#380C2311yescharacteristic
549#380C2311yescharacteristic
550#380C2311yescharacteristic
551#380C2311yescharacteristic
552#380C2311yescharacteristic
553#380C2311yescharacteristic
554#379—21no—
555C4×C4⋊C4C2311yescharacteristic
556C2×#95—21no—
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#340C2311yescharacteristic
563#340C2311yescharacteristic
564#340C2311yescharacteristic
565#336C2311yescharacteristic
566#336C2311yescharacteristic
567#336C2311yescharacteristic
568#336C2311yescharacteristic
569C25—21no—
570C25C2×D411yescharacteristic
5712−1+4—416no—
5722−1+4—416no—
5732−1+4—416no—
5742−1+4—416no—
575C2×#41—28no—
576C2×#41—28no—
577C2×#41—28no—
578C2×#41—28no—
579C2×#41—28no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—22no—
592C2×#41—22no—
593C2×#41—22no—
594C2×#41—22no—
595C2×#41—22no—
596C2×#41—22no—
597C2×#41—22no—
598C2×#41—22no—
599C2×#41—22no—
600C2×#41—22no—
601C2×#41—22no—
602C2×#41—22no—
603C2×#41—22no—
604C2×#41—22no—
605C2×#41—22no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—44no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41—41no—
615C2×#41—41no—
616C2×#41—41no—
617C2×#41—41no—
618C2×#41—41no—
619C2×#41—44no—
620C2×#41—44no—
621C2×#41—44no—
622C2×#41—44no—
623C2×#41—44no—
624C2×#41—44no—
625C2×#41—44no—
626C2×#41—44no—
627C2×#41—44no—
628C2×#41—416no—
629C2×#41—416no—
630C2×#41—416no—
631C2×#41—416no—
632C2×#41C2×D414yes—
633C2×#41C2×D414yes—
634C2×#41C2×D414yes—
635C2×#41#4114yes—
636C22×Q8—28no—
637C22×Q8—22no—
638C22×Q8—22no—
639C22×Q8—22no—
640C22×Q8—22no—
641C22×Q8—22no—
642C22×Q8—22no—
643C22×Q8—21no—
644C22×Q8—21no—
645C22×Q8—21no—
646C22×Q8—21no—
647C22×Q8—22no—
648C22×Q8—22no—
649C22×Q8—22no—
650C22×Q8—22no—
651C22×Q8—22no—
652C22×Q8—22no—
653C22×Q8—22no—
654C22×Q8—22no—
655C22×Q8—22no—
656C22×Q8—41no—
657C22×Q8—41no—
658C22×Q8—41no—
659C22×Q8—41no—
660C22×Q8—41no—
661C22×Q8—41no—
662C22×Q8—41no—
663C22×Q8—41no—
664C22×Q8—44no—
665C22×Q8—44no—
666C22×Q8C2×D414yes—
667C22×Q8C2×D411yescharacteristic
668C22×Q8C2411yescharacteristic
669C22×Q8C2411yescharacteristic
670C22×Q8C2411yescharacteristic
671C22×Q8C2411yescharacteristic
672C22×Q8C2411yescharacteristic
673C22×D4—21no—
674C22×D4—28no—
675C22×D4—21no—
676C22×D4—21no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—21no—
680C22×D4—21no—
681C22×D4—21no—
682C22×D4—22no—
683C22×D4—22no—
684C22×D4—22no—
685C22×D4—22no—
686C22×D4—21no—
687C22×D4—41no—
688C22×D4—41no—
689C22×D4—44no—
690C22×D4—44no—
691C22×D4C2×D411yescharacteristic
692C22×D4C2×D411yescharacteristic
693C22×D4C2×D411yescharacteristic
694C22×D4C2×D411yescharacteristic
695C22×D4C2×D411yescharacteristic
696C22×D4C2×D411yescharacteristic
697C22×D4C2×D411yescharacteristic
698C22×D4C2411yescharacteristic
699C22×D4C2411yescharacteristic
700C23×C4—21no—
701C23×C4—28no—
702C23×C4—21no—
703C23×C4—21no—
704C23×C4—21no—
705C23×C4—21no—
706C23×C4—21no—
707C23×C4—21no—
708C23×C4—21no—
709C23×C4—21no—
710C23×C4—21no—
711C23×C4—21no—
712C23×C4—22no—
713C23×C4—22no—
714C23×C4—22no—
715C23×C4—22no—
716C23×C4—21no—
717C23×C4—21no—
718C23×C4—21no—
719C23×C4—21no—
720C23×C4—21no—
721C23×C4—41no—
722C23×C4—41no—
723C23×C4—44no—
724C23×C4—44no—
725C23×C4C2×D411yescharacteristic
726C23×C4C2×D411yescharacteristic
727C23×C4C2×D411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C2×Q16—22no—
734C2×Q16—22no—
735C2×Q16—22no—
736C2×Q16—22no—
737C2×Q16—22no—
738C2×Q16—22no—
739C2×Q16—41no—
740C2×Q16—41no—
741C2×Q16—41no—
742C2×Q16—41no—
743C2×Q16—41no—
744C2×Q16—41no—
745C2×SD16—22no—
746C2×SD16—22no—
747C2×SD16—22no—
748C2×SD16—22no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×M16—22no—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16—41no—
755C2×M16—41no—
756C2×M16—41no—
757C2×M16—41no—
758C2×M16—41no—
759C2×M16—41no—
760C22×C8—22no—
761C22×C8—41no—
762C22×C8—41no—
763C22×C8C2411yescharacteristic
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C22×C8C2411yescharacteristic
767C22×C8C2411yescharacteristic
768C22×C8C2411yescharacteristic
769C22×C8C2411yescharacteristic
770C22×C8C2411yescharacteristic
771C4⋊Q8—28no—
772C4⋊Q8—28no—
773C4⋊Q8—22no—
774C4⋊Q8—22no—
775C4⋊Q8—22no—
776C4⋊Q8C2×D414yes—
777#126—44no—
778#125—22no—
779#125—22no—
780#125—44no—
781#124—28no—
782#124—22no—
783#124—22no—
784#124—28no—
785#124—22no—
786#124C2×D414yes—
787#123—28no—
788#123—28no—
789#123—28no—
790#123—28no—
791#123—28no—
792#123—28no—
793#123—24no—
794#123—28no—
795#123—28no—
796#123—24no—
797#123—44no—
798#123—82no—
799C22⋊Q8—28no—
800C22⋊Q8—28no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—28no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—24no—
816C22⋊Q8—28no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—24no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—22no—
825C22⋊Q8—22no—
826C22⋊Q8—22no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8C2×D414yes—
832C22⋊Q8C2×D414yes—
833C22⋊Q8C2×D414yes—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—28no—
842#121—28no—
843#121—24no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—24no—
848#121C2×D414yes—
849#120—28no—
850#120—28no—
851#120—24no—
852#120—24no—
853C4×Q8—22no—
854C4×Q8—22no—
855C4×Q8—22no—
856C4×Q8—22no—
857C4×Q8—22no—
858C4×Q8C2×D414yes—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—28no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—82no—
875C4×D4C2×D414yes—
876C4×D4C2×D414yes—
877C4×D4C2×D414yes—
878#117—28no—
879#117—22no—
880#117—22no—
881#117—22no—
882#117—22no—
883#117—44no—
884C2×C4⋊C4—28no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—22no—
902C2×C4⋊C4—22no—
903C2×C4⋊C4—22no—
904C2×C4⋊C4—22no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—21no—
921C2×C4⋊C4—41no—
922C2×C4⋊C4—41no—
923C2×C4⋊C4—41no—
924C2×C4⋊C4—41no—
925C2×C4⋊C4C2×D411yescharacteristic
926C2×C4⋊C4C2×D411yescharacteristic
927C2×C4⋊C4C2×D411yescharacteristic
928C2×C4⋊C4C2×D411yescharacteristic
929C2×C4⋊C4C2×D411yescharacteristic
930C2×C4⋊C4C2×D411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C22⋊C4—28no—
941C2×C22⋊C4—28no—
942C2×C22⋊C4—28no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—82no—
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C22⋊C4C2×D411yescharacteristic
980C2×C22⋊C4C2×D411yescharacteristic
981C2×C22⋊C4C2×D411yescharacteristic
982C2×C22⋊C4C2×D411yescharacteristic
983C2×C22⋊C4C2×D411yescharacteristic
984C2×C22⋊C4C2×D411yescharacteristic
985C2×C42—21no—
986C2×C42—21no—
987C2×C42—21no—
988C2×C42—21no—
989C2×C42—21no—
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992#107—22no—
993#107—22no—
994#107—22no—
995#107—22no—
996#106—22no—
997#106—22no—
998C4⋊C8—22no—
999C4⋊C8—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—22no—
1010#103—22no—
1011#103—22no—
1012#103—22no—
1013#103—22no—
1014#103—22no—
1015#103—22no—
1016#103—22no—
1017#103—22no—
1018#103—41no—
1019#103—41no—
1020#103—41no—
1021#103—41no—
1022#103—41no—
1023#103—41no—
1024#103—41no—
1025#103—41no—
1026#103—41no—
1027#103—41no—
1028#103—41no—
1029#103—41no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—22no—
1034#102—22no—
1035#102—22no—
1036#102—22no—
1037#102—22no—
1038#102—22no—
1039#102—22no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044C22⋊C8—22no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—22no—
1048C22⋊C8—22no—
1049C22⋊C8—22no—
1050C22⋊C8—22no—
1051C22⋊C8—22no—
1052C22⋊C8—41no—
1053C22⋊C8—41no—
1054C22⋊C8—41no—
1055C22⋊C8—41no—
1056C22⋊C8—41no—
1057C22⋊C8—41no—
1058C22⋊C8—41no—
1059C22⋊C8—41no—
1060#97—22no—
1061C4×C8—22no—
1062#95—21no—
1063#95—21no—
1064#95—21no—
1065#95—21no—
1066#95—21no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070#95—21no—
1071#95—21no—
1072#95—21no—
1073#95—21no—
1074#95—21no—
1075#95—21no—
1076#95—21no—
1077#95—21no—
1078#95—21no—
1079C24—21no—
1080C24—24no—
1081C24—21no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—42no—
1090C24—42no—
1091C24—42no—
1092C24—42no—
1093C24—81no—
1094C24—81no—
1095C24C22×D411yescharacteristic
1096C24C22×D411yescharacteristic
1097C24C22×D411yescharacteristic
1098C24C22×D411yescharacteristic
1099C24C22×D411yescharacteristic
1100#41—28no—
1101#41—28no—
1102#41—28no—
1103#41—28no—
1104#41—28no—
1105#41—28no—
1106#41—28no—
1107#41—44no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—44no—
1112#41—44no—
1113#41—44no—
1114#41—44no—
1115#41—44no—
1116#41—44no—
1117#41—44no—
1118#41—44no—
1119#41—44no—
1120#41—44no—
1121#41—44no—
1122#41—44no—
1123#41—44no—
1124#41—432no—
1125#41—432no—
1126#41—44no—
1127#41—44no—
1128#41—432no—
1129#41—432no—
1130#41—432no—
1131#41—44no—
1132#41—44no—
1133C2×Q8—24no—
1134C2×Q8—24no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—22no—
1139C2×Q8—21no—
1140C2×Q8—21no—
1141C2×Q8—21no—
1142C2×Q8—21no—
1143C2×Q8—21no—
1144C2×Q8—21no—
1145C2×Q8—28no—
1146C2×Q8—21no—
1147C2×Q8—21no—
1148C2×Q8—21no—
1149C2×Q8—21no—
1150C2×Q8—21no—
1151C2×Q8—21no—
1152C2×Q8—21no—
1153C2×Q8—21no—
1154C2×Q8—21no—
1155C2×Q8—21no—
1156C2×Q8—21no—
1157C2×Q8—21no—
1158C2×Q8—21no—
1159C2×Q8—21no—
1160C2×Q8—21no—
1161C2×Q8—21no—
1162C2×Q8—21no—
1163C2×Q8—21no—
1164C2×Q8—41no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—432no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8C22×D412yes—
1190C2×Q8C22×D412yes—
1191C2×Q8C22×D412yes—
1192C2×Q8C22×D412yes—
1193C2×Q8C2×#4112yes—
1194C2×Q8H(5,𝔽2)12yes—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—21no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—21no—
1221C2×D4—21no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—432no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4#12014yes—
1256C2×D4C22×D412yes—
1257C2×D4C22×D412yes—
1258C2×D4C2×#4112yes—
1259C2×D4H(5,𝔽2)12yes—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—21no—
1263C22×C4—24no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—24no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—432no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—81no—
1350C22×C4—81no—
1351C22×C4—81no—
1352C22×C4—81no—
1353C22×C4—81no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4—81no—
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D412yes—
1369C22×C4C22×D412yes—
1370C22×C4C22×D412yes—
1371C22×C4C22×D412yes—
1372C22×C4C22×D411yescharacteristic
1373C22×C4C2×#4112yes—
1374C22×C4H(5,𝔽2)12yes—
1375C22×C4C2511yescharacteristic
1376Q16—44no—
1377Q16—82no—
1378Q16—82no—
1379Q16—82no—
1380SD16—44no—
1381SD16—82no—
1382M16—82no—
1383M16—82no—
1384M16—82no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—82no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—81no—
1452C4⋊C4—81no—
1453C4⋊C4—81no—
1454C4⋊C4—81no—
1455C4⋊C4—81no—
1456C4⋊C4—81no—
1457C4⋊C4—81no—
1458C4⋊C4—81no—
1459C4⋊C4—81no—
1460C4⋊C4#12014yes—
1461C4⋊C4C22×D412yes—
1462C4⋊C4C22×D412yes—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4—81no—
1501C22⋊C4—81no—
1502C22⋊C4#12014yes—
1503C22⋊C4#12014yes—
1504C42—24no—
1505C42—24no—
1506C42—21no—
1507C42—21no—
1508C42—42no—
1509C42—42no—
1510C42—81no—
1511C42C22×D412yes—
1512C42C22×D412yes—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—48no—
1552C23—48no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—82no—
1570C23—84no—
1571C23—84no—
1572C23C2×#12012yes—
1573C23C2×#12012yes—
1574C23#54612yes—
1575C23#57812yes—
1576C23C23×D411yescharacteristic
1577Q8—22no—
1578Q8—22no—
1579Q8—22no—
1580Q8—22no—
1581Q8—22no—
1582Q8—22no—
1583Q8—22no—
1584Q8—22no—
1585Q8—22no—
1586Q8—44no—
1587Q8—48no—
1588Q8—48no—
1589Q8—48no—
1590Q8—48no—
1591Q8—41no—
1592Q8—41no—
1593Q8—41no—
1594Q8—41no—
1595Q8—41no—
1596Q8—41no—
1597Q8—41no—
1598Q8—41no—
1599Q8—41no—
1600Q8—41no—
1601Q8#54614yes—
1602D4—216no—
1603D4—22no—
1604D4—22no—
1605D4—22no—
1606D4—22no—
1607D4—22no—
1608D4—44no—
1609D4—44no—
1610D4—44no—
1611D4—44no—
1612D4—48no—
1613D4—44no—
1614D4—44no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—41no—
1621D4—41no—
1622D4—82no—
1623D4—84no—
1624D4—84no—
1625D4#54614yes—
1626C2×C4—216no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—48no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4—162no—
1728C2×C4—162no—
1729C2×C4C2×#12012yes—
1730C2×C4C2×#12012yes—
1731C2×C4C2×#12012yes—
1732C2×C4C2×#12012yes—
1733C2×C4#54612yes—
1734C2×C4C23×D411yescharacteristic
1735C2×C4C23×D411yescharacteristic
1736C2×C4C22×#4111yescharacteristic
1737C2×C4C2×H(5,𝔽2)11yescharacteristic
1738C2×C4C2×H(5,𝔽2)11yescharacteristic
1739C2×C4C2×H(5,𝔽2)11yescharacteristic
1740C8—41no—
1741C8—41no—
1742C8—41no—
1743C8—41no—
1744C8—41no—
1745C8—41no—
1746C8—41no—
1747C8—41no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—24no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—41no—
1762C22—41no—
1763C22—42no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—41no—
1793C22—88no—
1794C22—816no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22C22×#12011yescharacteristic
1800C22C2×#54611yescharacteristic
1801C22#348411yescharacteristic
1802C22C2×#57811yescharacteristic
1803C22#358511yescharacteristic
1804C22#358611yescharacteristic
1805C22#358611yescharacteristic
1806C4—22no—
1807C4—24no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—41no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—81no—
1822C4—81no—
1823C4—81no—
1824C4—81no—
1825C4—81no—
1826C4—81no—
1827C4—81no—
1828C4—81no—
1829C4C2×#54611yescharacteristic
1830C4C2×#54611yescharacteristic
1831C4#348411yescharacteristic
1832C4#348411yescharacteristic
1833C2—42no—
1834C2—42no—
1835C2—42no—
1836C2—42no—
1837C2—44no—
1838C2—81no—
1839C2—82no—
1840C2#3615211yescharacteristic
1841C2#6037111yescharacteristic
1842C2#6037511yescharacteristic
1843C2#6118111yescharacteristic
1844C2#6119411yescharacteristic
1845C2#6162211yescharacteristic
1846C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3489C2
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
2. C2×#3327C2semidirect
3. C2×#3315C2semidirect
4. #37837C2semidirect
5. #32968C2semidirect
6. #32887C2semidirect
7. #32883C2semidirect
8. #25894C2semidirect
9. #25890C2semidirect
10. #25868C2semidirect
11. #24452C2semidirect
12. #24449C2semidirect
13. #24446C2semidirect
14. #24437C2semidirect
15. #24393C2semidirect
16. #24386C2semidirect
17. #24259C2semidirect
18. #24243C2semidirect
19. #24221C2semidirect
20. #24054C2semidirect
21. #24053C2semidirect
22. #24051C2semidirect
23. #24037C2semidirect
24. #24017C2semidirect
25. #24006C2semidirect
26. #22431C2semidirect
27. #22421C2semidirect
28. #22400C2semidirect
29. #21465C2semidirect
30. #20603C2semidirect
31. #20601C2semidirect
36. C2×#552C22semidirect
60. C2×#491C22semidirect
61. C2×#488C22semidirect
62. C2×#484C22semidirect
63. C2×#484C22semidirect
64. C2×#485C22semidirect
65. C2×#482C22semidirect
66. C2×#479C22semidirect
67. C2×#478C22semidirect
68. C2×#470C22semidirect
69. C2×#470C22semidirect
70. C2×#468C22semidirect
71. C2×#467C22semidirect
72. C2×#464C22semidirect
73. C2×#462C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
81. C2×#451C22semidirect
82. C2×#451C22semidirect
83. C2×#451C22semidirect
85. C2×#440C22semidirect
86. C2×C4×Q16C22semidirect
87. C2×#436C22semidirect
88. C2×#435C22semidirect
93. C2×#417C22semidirect
94. C2×#419C22semidirect
95. C2×#416C22semidirect
96. C22×#103C22semidirect
97. C2×#408C22semidirect
104. #2629C22semidirect
105. #2616C22semidirect
109. #2486C22semidirect
114. #2417C22semidirect
116. D4×C4⋊C4C22semidirect
117. #2323C22semidirect
118. #2311C22semidirect
120. #2043C22semidirect
121. #2043C22semidirect
122. #2043C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
125. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2016C22semidirect
139. #2015C22semidirect
142. #2001C22semidirect
143. #2000C22semidirect
144. #1983C22semidirect
145. #1981C22semidirect
146. #1959C22semidirect
147. #1956C22semidirect
150. #1894C22semidirect
151. #1894C22semidirect
152. #1894C22semidirect
153. #1893C22semidirect
154. #1878C22semidirect
155. #1877C22semidirect
156. #1874C22semidirect
157. #1872C22semidirect
158. #1872C22semidirect
159. #1872C22semidirect
160. #1872C22semidirect
162. #1870C22semidirect
163. #1870C22semidirect
165. #1865C22semidirect
166. #1864C22semidirect
167. #1863C22semidirect
168. #1863C22semidirect
169. #1862C22semidirect
170. #1862C22semidirect
171. #1853C22semidirect
172. #1852C22semidirect
173. #1852C22semidirect
174. #1803C22semidirect
175. #1802C22semidirect
176. #1798C22semidirect
185. #1788C22semidirect
186. #1788C22semidirect
187. #1788C22semidirect
188. #1788C22semidirect
192. #1787C22semidirect
193. #1787C22semidirect
194. #1787C22semidirect
195. #1787C22semidirect
196. #1787C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
202. #1780C22semidirect
204. #1763C22semidirect
205. C4×#102C22semidirect
206. #1750C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#33272
C2×#33152
#378372
#329682
#328872
#328832
#258942
#258902
#258682
#244522
#244492
#244462
#244372
#243932
#243862
#242592
#242432
#242212
#240542
#240532
#240512
#240372
#240172
#240062
#224312
#224212
#224002
#214652
#206032
#206012