Finite Group Databasebeta

← #6533425

Subgroups — #6533425

Order 512.

3696 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic, complemented
2C2×#3294C211yesmaximal, characteristic, complemented
3C2×#3265C211yesmaximal, characteristic, complemented
4#37650C211yesmaximal, characteristic, complemented
5#29669C211yesmaximal, characteristic, complemented
6#29607C211yesmaximal, characteristic, complemented
7#29595C211yesmaximal, characteristic, complemented
8#25770C211yesmaximal, characteristic, complemented
9#25614C211yesmaximal, characteristic, complemented
10#25569C211yesmaximal, characteristic, complemented
11#25559C211yesmaximal, characteristic, complemented
12#25533C211yesmaximal, characteristic, complemented
13#24439C211yesmaximal, characteristic, complemented
14#24428C211yesmaximal, characteristic, complemented
15#24391C211yesmaximal, characteristic, complemented
16#24378C211yesmaximal, characteristic, complemented
17#24245C211yesmaximal, characteristic, complemented
18#24167C211yesmaximal, characteristic, complemented
19#24130C211yesmaximal, characteristic, complemented
20#23969C211yesmaximal, characteristic, complemented
21#23960C211yesmaximal, characteristic, complemented
22#23924C211yesmaximal, characteristic, complemented
23#23918C211yesmaximal, characteristic, complemented
24#23861C211yesmaximal, characteristic, complemented
25#23858C211yesmaximal, characteristic, complemented
26#23579C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28C2×#2000C211yesmaximal, characteristic, complemented
29#22495C211yesmaximal, characteristic, complemented
30#22416C211yesmaximal, characteristic, complemented
31#22398C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic, complemented
34#3536—28no—
35#3536—28no—
36C2×#562—21no—
37C2×#562—21no—
38C2×#554C2211yescharacteristic, complemented
39C2×#554C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic, complemented
42C2×#547C2211yescharacteristic
43C2×#547C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546—21no—
46C2×#546C2211yescharacteristic, complemented
47C2×#546C2211yescharacteristic, complemented
48C2×D42C2211yescharacteristic, complemented
49C2×#543—21no—
50C2×#542C2211yescharacteristic, complemented
51C2×#542C2211yescharacteristic, complemented
52C2×#539—21no—
53C2×#538—21no—
54C2×#537—21no—
55C2×#537C2211yescharacteristic, complemented
56C2×#537C2211yescharacteristic, complemented
57C2×#535C2211yescharacteristic, complemented
58C2×#525C2211yescharacteristic
59C22×C22⋊Q8C2211yescharacteristic, complemented
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic, complemented
62#3294—28no—
63#3265—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#486C2211yescharacteristic, complemented
66C2×#480C2211yescharacteristic, complemented
67C2×#480C2211yescharacteristic, complemented
68C2×#474C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#466C2211yescharacteristic
71C2×#466C2211yescharacteristic
72C2×#466C2211yescharacteristic, complemented
73C2×#460C2211yescharacteristic, complemented
74C2×#463C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#435C2211yescharacteristic, complemented
91C2×C8×D4C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, complemented
94C22×#102C2211yescharacteristic, complemented
95C22×#102C2211yescharacteristic, complemented
96C2×#408C2211yescharacteristic, complemented
97C22×C22⋊C8C2211yescharacteristic, complemented
98#2847C2211yescharacteristic
99#2678—21no—
100#2676—21no—
101#2673—21no—
102#2669—21no—
103#2619C2211yescharacteristic, complemented
104#2615C2211yescharacteristic, complemented
105#2541C2211yescharacteristic
106#2535C2211yescharacteristic
107#2472—21no—
108#2433—21no—
109#2416C2211yescharacteristic, complemented
110#2414C2211yescharacteristic
111#2410—21no—
112#2408C2211yescharacteristic
113#2408C2211yescharacteristic, complemented
114#2403—21no—
115#2352C2211yescharacteristic, complemented
116#2324C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2023C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1993C2211yescharacteristic, complemented
158#1987C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1955C2211yescharacteristic, complemented
162#1954C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1892C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1852C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1780C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C22×SD16—24no—
224C22×SD16—42no—
225C22×SD16—42no—
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C23×C8C2311yescharacteristic
240C23×C8C2311yescharacteristic
241C23×C8C2311yescharacteristic
242#562—216no—
243#562—216no—
244#554—24no—
245#554—24no—
246#554—24no—
247#554—24no—
248#548—24no—
249#548—24no—
250#548—24no—
251#548D418yescomplemented
252#547—24no—
253#547—24no—
254#547—24no—
255#547D418yescomplemented
256#546—216no—
257#546—216no—
258#546—24no—
259#546—24no—
260#546—24no—
261#546—24no—
262D42—24no—
263D42—24no—
264#543—216no—
265#542—24no—
266#542—24no—
267#542—24no—
268#542—24no—
269#539—216no—
270#538—216no—
271#537—216no—
272#537—24no—
273#537—24no—
274#537—24no—
275#537—24no—
276#535—42no—
277#535—42no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127—21no—
281C2×#127—21no—
282C2×#127C2311yescharacteristic
283C2×#126—21no—
284C2×#126—21no—
285C2×#125—21no—
286C2×#125—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124—21no—
291C2×#124—21no—
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294#525—24no—
295#525—24no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123D411yescharacteristic
305C2×#123D411yescharacteristic
306C2×C22⋊Q8—24no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—24no—
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⋊Q8—21no—
319C2×C22⋊Q8—21no—
320C2×C22⋊Q8—21no—
321C2×C22⋊Q8—21no—
322C2×C22⋊Q8D411yescharacteristic
323C2×C22⋊Q8D411yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
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—24no—
341C2×#121—24no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
345C2×#121—21no—
346C2×#121—21no—
347C2×#121—21no—
348C2×#121—42no—
349C2×#121—42no—
350C2×#121D411yescharacteristic
351C2×#121D411yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×#120—21no—
376C2×#120—21no—
377C2×#120—21no—
378C2×#120D411yescharacteristic
379C2×#120D411yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×D4—21no—
383C2×C4×D4—21no—
384C2×C4×D4—21no—
385C2×C4×D4—21no—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C22×C4⋊C4—21no—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C22⋊C4—21no—
402C22×C22⋊C4—21no—
403C22×C22⋊C4—21no—
404C22×C22⋊C4—21no—
405C22×C22⋊C4—21no—
406#496—24no—
407#486—24no—
408#480—24no—
409#480—24no—
410#474—24no—
411#468—24no—
412#466—24no—
413#466—24no—
414#466—24no—
415#463—24no—
416#460—24no—
417#459—24no—
418#450—24no—
419#449—24no—
420#449—42no—
421#449—42no—
422#449—42no—
423#448—24no—
424#447—24no—
425#447—24no—
426#447—24no—
427#447—42no—
428#447—42no—
429#447—42no—
430#440—24no—
431C4×D8—24no—
432#435—24no—
433C8×D4—24no—
434C2×#107C2311yescharacteristic
435C2×#107C2311yescharacteristic
436C2×#107C2311yescharacteristic
437C2×#107C2311yescharacteristic
438C2×C4⋊C8C2311yescharacteristic
439C2×C4⋊C8C2311yescharacteristic
440#416—42no—
441C2×#103—42no—
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#102—24no—
453C2×#102—24no—
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
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
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473C2×#102C2311yescharacteristic
474C2×#102C2311yescharacteristic
475C2×#102C2311yescharacteristic
476#408—42no—
477C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C22⋊C8C2311yescharacteristic
492C2×C22⋊C8C2311yescharacteristic
493C2×C22⋊C8C2311yescharacteristic
494C2×#97C2311yescharacteristic
495C2×C4×C8C2311yescharacteristic
496#397—21no—
497#396—21no—
498#394—21no—
499#394—21no—
500#394—21no—
501#394—21no—
502#394—21no—
503#394—21no—
504#393—21no—
505#392—21no—
506#392—21no—
507#392—21no—
508#392—21no—
509#392—21no—
510#392—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#392—21no—
515#392—21no—
516#390—21no—
517#390—21no—
518#390—21no—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#389C2311yescharacteristic
523#388—21no—
524#388—21no—
525#388—21no—
526#387—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#386—21no—
534#386—21no—
535#385—21no—
536#382C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#379—21no—
543#379—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C25C2×D411yescharacteristic
570C2×#41—28no—
571C2×#41—22no—
572C2×#41—28no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—82no—
590C2×#41—82no—
591C2×#41—82no—
592C2×#41—82no—
593C2×#41C2×D414yescomplemented
594C22×Q8—21no—
595C22×Q8—21no—
596C22×Q8—21no—
597C22×Q8—22no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8C2×D414yes—
603C22×Q8C2×D411yescharacteristic
604C22×Q8C2411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—28no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—44no—
650C22×D4—44no—
651C22×D4—82no—
652C22×D4—82no—
653C22×D4—82no—
654C22×D4—82no—
655C22×D4—82no—
656C22×D4—82no—
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C22×D4C2×D411yescharacteristic
660C22×D4C2×D411yescharacteristic
661C22×D4C2×D411yescharacteristic
662C22×D4C2×D411yescharacteristic
663C22×D4C2×D411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—22no—
679C23×C4—22no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4C2×D411yescharacteristic
687C23×C4C2×D411yescharacteristic
688C23×C4C2×D411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694AGL(1,ℤ/8)—416no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—416no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×D8—41no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—41no—
735C22×C8—22no—
736C22×C8—22no—
737C22×C8—22no—
738C22×C8—22no—
739C22×C8—41no—
740C22×C8—41no—
741C22×C8—41no—
742C22×C8—41no—
743C22×C8—41no—
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C22×C8C2411yescharacteristic
750C22×C8C2411yescharacteristic
751C22×C8C2411yescharacteristic
752C4⋊Q8—22no—
753C4⋊Q8—22no—
754C4⋊Q8—22no—
755C4⋊Q8C2×D414yescomplemented
756#127—22no—
757#127—22no—
758#127—44no—
759#127—82no—
760#126—28no—
761#126—28no—
762#125—28no—
763#125—28no—
764#124—28no—
765#124—28no—
766#124—28no—
767#124—22no—
768#124—22no—
769#124—28no—
770#124—22no—
771#124—44no—
772#124C2×D414yescomplemented
773#123—28no—
774#123—28no—
775#123—28no—
776#123—28no—
777#123—28no—
778#123—28no—
779#123—24no—
780#123—28no—
781#123—28no—
782#123—24no—
783C22⋊Q8—28no—
784C22⋊Q8—28no—
785C22⋊Q8—28no—
786C22⋊Q8—28no—
787C22⋊Q8—28no—
788C22⋊Q8—28no—
789C22⋊Q8—28no—
790C22⋊Q8—28no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—22no—
796C22⋊Q8—22no—
797C22⋊Q8—22no—
798C22⋊Q8—22no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—24no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—24no—
810C22⋊Q8C2×D414yescomplemented
811#121—28no—
812#121—28no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—24no—
824#121—22no—
825#121—22no—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—24no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—44no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—44no—
854#121—44no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—82no—
860#121C2×D414yes—
861#121C2×D414yes—
862#121C2×D414yescomplemented
863#120—28no—
864#120—28no—
865#120—24no—
866#120—24no—
867#120—44no—
868#120—44no—
869#120—44no—
870#120—44no—
871#120—82no—
872#120—82no—
873#120—82no—
874C4×Q8—22no—
875C4×Q8—22no—
876C4×Q8—22no—
877C4×Q8C2×D414yescomplemented
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—28no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4C2×D414yes—
894C4×D4C2×D414yes—
895C4×D4C2×D414yescomplemented
896#117—22no—
897#117—22no—
898#117—22no—
899#117—41no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—22no—
910C2×C4⋊C4—22no—
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—22no—
918C2×C4⋊C4—22no—
919C2×C4⋊C4—22no—
920C2×C4⋊C4—22no—
921C2×C4⋊C4—22no—
922C2×C4⋊C4—21no—
923C2×C4⋊C4—21no—
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×D414yes—
931C2×C4⋊C4C2×D411yescharacteristic
932C2×C4⋊C4C2×D414yescomplemented
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C22⋊C4—28no—
943C2×C22⋊C4—28no—
944C2×C22⋊C4—28no—
945C2×C22⋊C4—28no—
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—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
981C2×C22⋊C4—21no—
982C2×C22⋊C4—21no—
983C2×C22⋊C4—21no—
984C2×C22⋊C4—21no—
985C2×C22⋊C4—21no—
986C2×C22⋊C4—21no—
987C2×C22⋊C4—21no—
988C2×C22⋊C4—44no—
989C2×C22⋊C4C2×D411yescharacteristic
990C2×C22⋊C4C2×D411yescharacteristic
991C2×C22⋊C4C2×D411yescharacteristic
992C2×C22⋊C4C2×D411yescharacteristic
993C2×C22⋊C4C2×D411yescharacteristic
994C2×C22⋊C4C2×D411yescharacteristic
995C2×C22⋊C4C2×D411yescharacteristic
996C2×C22⋊C4C2×D411yescharacteristic
997C2×C22⋊C4C2×D411yescharacteristic
998C2×C22⋊C4C2×D411yescharacteristic
999C2×C42—21no—
1000C2×C42—21no—
1001C2×C42—21no—
1002C2×C42—21no—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005#107—22no—
1006#107—22no—
1007#107—22no—
1008#107—22no—
1009C4⋊C8—22no—
1010C4⋊C8—22no—
1011#103—22no—
1012#103—22no—
1013#103—22no—
1014#103—22no—
1015#103—41no—
1016#103—41no—
1017#103—41no—
1018#103—41no—
1019#103—41no—
1020#103—41no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
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—41no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043C22⋊C8—22no—
1044C22⋊C8—22no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—22no—
1048C22⋊C8—22no—
1049C22⋊C8—22no—
1050C22⋊C8—41no—
1051C22⋊C8—41no—
1052C22⋊C8—41no—
1053C22⋊C8—41no—
1054C22⋊C8—41no—
1055C22⋊C8—41no—
1056C22⋊C8—41no—
1057C22⋊C8—41no—
1058C22⋊C8—41no—
1059#97—22no—
1060C4×C8—22no—
1061#95—21no—
1062#95—21no—
1063#95—21no—
1064#95—21no—
1065#95—21no—
1066#95—21no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070C24—24no—
1071C24—22no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—21no—
1079C24—21no—
1080C24—41no—
1081C24—41no—
1082C24—41no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—42no—
1089C24—42no—
1090C24—42no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24—81no—
1101C24—81no—
1102C24—81no—
1103C24C22×D411yescharacteristic
1104C24C22×D411yescharacteristic
1105C24C22×D411yescharacteristic
1106C24C22×D411yescharacteristic
1107C24C22×D411yescharacteristic
1108#41—44no—
1109#41—44no—
1110#41—82no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—816no—
1117#41—82no—
1118#41—82no—
1119#41—816no—
1120#41—82no—
1121#41—82no—
1122C2×Q8—24no—
1123C2×Q8—22no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—21no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—81no—
1141C2×Q8—81no—
1142C2×Q8—81no—
1143C2×Q8—81no—
1144C2×Q8—81no—
1145C2×Q8—81no—
1146C2×Q8—82no—
1147C2×Q8—82no—
1148C2×Q8C22×D412yes—
1149C2×Q8C22×D412yes—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—21no—
1196C2×D4—21no—
1197C2×D4—21no—
1198C2×D4—21no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—816no—
1282C2×D4—816no—
1283C2×D4—816no—
1284C2×D4#12014yes—
1285C2×D4C22×D412yes—
1286C2×D4C22×D412yes—
1287C2×D4H(5,𝔽2)12yes—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—24no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
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—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—82no—
1349C22×C4—82no—
1350C22×C4—82no—
1351C22×C4—82no—
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×C4—81no—
1361C22×C4—81no—
1362C22×C4—81no—
1363C22×C4—81no—
1364C22×C4—81no—
1365C22×C4—81no—
1366C22×C4—81no—
1367C22×C4—81no—
1368C22×C4—81no—
1369C22×C4—81no—
1370C22×C4—81no—
1371C22×C4C22×D411yescharacteristic
1372C22×C4C22×D411yescharacteristic
1373C22×C4C22×D411yescharacteristic
1374C22×C4C22×D411yescharacteristic
1375C22×C4C22×D411yescharacteristic
1376C22×C4C22×D411yescharacteristic
1377C22×C4C22×D411yescharacteristic
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D411yescharacteristic
1380C22×C4C22×D412yes—
1381C22×C4C22×D412yes—
1382C22×C4C22×D412yes—
1383C22×C4C22×D412yes—
1384C22×C4C2511yescharacteristic
1385SD16—28no—
1386SD16—44no—
1387SD16—44no—
1388SD16—44no—
1389SD16—44no—
1390SD16—82no—
1391D8—44no—
1392D8—44no—
1393D8—44no—
1394D8—82no—
1395D8—82no—
1396D8—82no—
1397M16—44no—
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—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—44no—
1422C2×C8—82no—
1423C2×C8—82no—
1424C2×C8H(5,𝔽2)12yes—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—42no—
1458C4⋊C4—81no—
1459C4⋊C4#12014yes—
1460C4⋊C4C22×D412yes—
1461C4⋊C4C22×D412yes—
1462C4⋊C4C22×D412yes—
1463C4⋊C4C22×D412yes—
1464C4⋊C4H(5,𝔽2)12yes—
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—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—81no—
1504C22⋊C4—81no—
1505C22⋊C4—81no—
1506C22⋊C4—81no—
1507C22⋊C4—81no—
1508C22⋊C4—81no—
1509C22⋊C4—81no—
1510C22⋊C4—81no—
1511C22⋊C4—81no—
1512C22⋊C4—81no—
1513C22⋊C4—81no—
1514C22⋊C4—81no—
1515C22⋊C4#12014yes—
1516C22⋊C4#12014yes—
1517C42—24no—
1518C42—24no—
1519C42—21no—
1520C42—21no—
1521C42—42no—
1522C42—81no—
1523C42C22×D412yes—
1524C42C22×D412yes—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—48no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—44no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23—162no—
1613C23—162no—
1614C23—162no—
1615C23—162no—
1616C23—162no—
1617C23—162no—
1618C23C2×#12012yes—
1619C23C2×#12012yes—
1620C23#57612yes—
1621C23#57612yes—
1622C23#57712yes—
1623C23C23×D411yescharacteristic
1624Q8—22no—
1625Q8—22no—
1626Q8—22no—
1627Q8—22no—
1628Q8—41no—
1629Q8—41no—
1630Q8—41no—
1631Q8—41no—
1632Q8—84no—
1633Q8—82no—
1634Q8—84no—
1635Q8—84no—
1636D4—28no—
1637D4—22no—
1638D4—22no—
1639D4—22no—
1640D4—22no—
1641D4—22no—
1642D4—22no—
1643D4—44no—
1644D4—44no—
1645D4—44no—
1646D4—48no—
1647D4—48no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—82no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—82no—
1667D4—82no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—162no—
1682D4—162no—
1683D4—162no—
1684D4—162no—
1685D4—162no—
1686D4—162no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—48no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—82no—
1765C2×C4—82no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—82no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4C2×#12012yes—
1778C2×C4C2×#12012yes—
1779C2×C4C2×#12012yes—
1780C2×C4C2×#12012yes—
1781C2×C4C23×D411yescharacteristic
1782C2×C4C23×D411yescharacteristic
1783C2×C4C2×H(5,𝔽2)11yescharacteristic
1784C2×C4C2×H(5,𝔽2)11yescharacteristic
1785C2×C4C2×H(5,𝔽2)11yescharacteristic
1786C2×C4#58511yescharacteristic
1787C8—22no—
1788C8—41no—
1789C8—41no—
1790C8—41no—
1791C8—41no—
1792C8—41no—
1793C8—41no—
1794C8—41no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—88no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—81no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—168no—
1866C22—168no—
1867C22—168no—
1868C22#300814yes—
1869C22C22×#12011yescharacteristic
1870C22#348411yescharacteristic
1871C22#349611yescharacteristic
1872C22C2×#57611yescharacteristic
1873C22C2×#57611yescharacteristic
1874C22C2×#57711yescharacteristic
1875C22#358611yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—81no—
1893C4—81no—
1894C4—81no—
1895C4—81no—
1896C4#348411yescharacteristic
1897C4#348811yescharacteristic
1898C4#349611yescharacteristic
1899C4#349811yescharacteristic
1900C2—24no—
1901C2—42no—
1902C2—42no—
1903C2—81no—
1904C2—81no—
1905C2—82no—
1906C2—82no—
1907C2—82no—
1908C2—161no—
1909C2—161no—
1910C2#3568011yescharacteristic
1911C2C2×#300811yescharacteristic
1912C2#6037411yescharacteristic
1913C2#6162411yescharacteristic
1914C2#6162911yescharacteristic
1915C2#6228011yescharacteristic
1916C2#6231111yescharacteristic
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×#3536C2semidirect
2. C2×#3294C2semidirect
3. C2×#3265C2semidirect
4. #37650C2semidirect
5. #29669C2semidirect
6. #29607C2semidirect
7. #29595C2semidirect
8. #25770C2semidirect
9. #25614C2semidirect
10. #25569C2semidirect
11. #25559C2semidirect
12. #25533C2semidirect
13. #24439C2semidirect
14. #24428C2semidirect
15. #24391C2semidirect
16. #24378C2semidirect
17. #24245C2semidirect
18. #24167C2semidirect
19. #24130C2semidirect
20. #23969C2semidirect
21. #23960C2semidirect
22. #23924C2semidirect
23. #23918C2semidirect
24. #23861C2semidirect
25. #23858C2semidirect
26. #23579C2semidirect
27. #23393C2semidirect
28. C2×#2000C2semidirect
29. #22495C2semidirect
30. #22416C2semidirect
31. #22398C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×SD16C22semidirect
38. C2×#554C22semidirect
39. C2×#554C22semidirect
41. C2×#548C22semidirect
43. C2×#547C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
48. C2×D42C22semidirect
50. C2×#542C22semidirect
51. C2×#542C22semidirect
55. C2×#537C22semidirect
56. C2×#537C22semidirect
57. C2×#535C22semidirect
59. C22×C22⋊Q8C22semidirect
61. C22×#121C22semidirect
64. C2×#496C22semidirect
65. C2×#486C22semidirect
66. C2×#480C22semidirect
67. C2×#480C22semidirect
68. C2×#474C22semidirect
69. C2×#468C22semidirect
72. C2×#466C22semidirect
73. C2×#460C22semidirect
74. C2×#463C22semidirect
75. C2×#459C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#448C22semidirect
81. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#440C22semidirect
89. C2×C4×D8C22semidirect
90. C2×#435C22semidirect
91. C2×C8×D4C22semidirect
92. C2×#416C22semidirect
93. C22×#103C22semidirect
94. C22×#102C22semidirect
95. C22×#102C22semidirect
96. C2×#408C22semidirect
97. C22×C22⋊C8C22semidirect
103. #2619C22semidirect
104. #2615C22semidirect
109. #2416C22semidirect
113. #2408C22semidirect
115. #2352C22semidirect
116. #2324C22semidirect
117. #2057C22semidirect
118. #2042C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2036C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2023C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
132. #2012C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1993C22semidirect
158. #1987C22semidirect
159. #1983C22semidirect
160. #1958C22semidirect
161. #1955C22semidirect
162. #1954C22semidirect
163. #1895C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1892C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1875C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1852C22semidirect
190. #1852C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. C4×#103C22semidirect
204. #1750C22semidirect
205. #1736C22semidirect
206. C2×#340C22semidirect
251. #548D4semidirect
255. #547D4semidirect
593. C2×#41C2×D4semidirect
755. C4⋊Q8C2×D4semidirect
772. #124C2×D4semidirect
810. C22⋊Q8C2×D4semidirect
862. #121C2×D4semidirect
877. C4×Q8C2×D4semidirect
895. C4×D4C2×D4semidirect
932. C2×C4⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
C2×#32942
C2×#32652
#376502
#296692
#296072
#295952
#257702
#256142
#255692
#255592
#255332
#244392
#244282
#243912
#243782
#242452
#241672
#241302
#239692
#239602
#239242
#239182
#238612
#238582
#235792
#233932
C2×#20002
#224952
#224162
#223982