Finite Group Databasebeta

← #6573814

Subgroups — #6573814

Order 512.

4655 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3277C211yesmaximal, characteristic, complemented
3C2×#3269C211yesmaximal, characteristic, complemented
4C2×#3013C211yesmaximal, characteristic, complemented
5C2×#3007C211yesmaximal, characteristic, complemented
6#37649C211yesmaximal, characteristic, complemented
7#32919C211yesmaximal, characteristic, complemented
8#32887C211yesmaximal, characteristic, complemented
9#32880C211yesmaximal, characteristic, complemented
10#25766C211yesmaximal, characteristic, complemented
11#25762C211yesmaximal, characteristic, complemented
12#25737C211yesmaximal, characteristic, complemented
13#24454C211yesmaximal, characteristic, complemented
14#24452C211yesmaximal, characteristic, complemented
15#24441C211yesmaximal, characteristic, complemented
16#24437C211yesmaximal, characteristic, complemented
17#24393C211yesmaximal, characteristic, complemented
18#24387C211yesmaximal, characteristic, complemented
19#24259C211yesmaximal, characteristic, complemented
20#24243C211yesmaximal, characteristic, complemented
21#24221C211yesmaximal, characteristic, complemented
22#23929C211yesmaximal, characteristic, complemented
23#23921C211yesmaximal, characteristic, complemented
24#23868C211yesmaximal, characteristic, complemented
25#23867C211yesmaximal, characteristic, complemented
26#23865C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#22431C211yesmaximal, characteristic, complemented
29#22421C211yesmaximal, characteristic, complemented
30#22400C211yesmaximal, characteristic, complemented
31#21465C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C22×#137C2211yescharacteristic
36C22×#137C2211yescharacteristic, complemented
37C22×#135C2211yescharacteristic, complemented
38#3489—28no—
39#3489—28no—
40C2×D4×Q8C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic, complemented
45C2×#547—21no—
46C2×#547—21no—
47C2×#547C2211yescharacteristic
48C2×#547C2211yescharacteristic
49C2×#546—21no—
50C2×#546—21no—
51C2×#546C2211yescharacteristic
52C2×#546C2211yescharacteristic
53C2×#537—21no—
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic, complemented
56C2×#536—21no—
57C2×#536C2211yescharacteristic
58C2×#525—21no—
59C2×#525C2211yescharacteristic
60C22×C22⋊Q8—21no—
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C2×#520C2211yescharacteristic
64#3277—28no—
65#3269—28no—
66C2×#497C2211yescharacteristic, complemented
67C2×#495C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#467C2211yescharacteristic, complemented
72C2×#464C2211yescharacteristic, complemented
73C2×#464C2211yescharacteristic, complemented
74C2×#462C2211yescharacteristic, complemented
75C2×#463C2211yescharacteristic, complemented
76#3013—28no—
77#3007—28no—
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic
81C2×#452C2211yescharacteristic
82C2×#452C2211yescharacteristic, complemented
83C2×#452C2211yescharacteristic, complemented
84C2×#452C2211yescharacteristic, complemented
85C2×#452C2211yescharacteristic, complemented
86C2×#449C2211yescharacteristic
87C2×#449C2211yescharacteristic
88C2×#449C2211yescharacteristic
89C2×#449C2211yescharacteristic
90C2×#449C2211yescharacteristic, complemented
91C2×#449C2211yescharacteristic, complemented
92C2×#451C2211yescharacteristic
93C2×#451C2211yescharacteristic
94C2×#451C2211yescharacteristic, complemented
95C2×#451C2211yescharacteristic, complemented
96C2×#451C2211yescharacteristic, complemented
97C2×#451C2211yescharacteristic, complemented
98C2×#451C2211yescharacteristic, complemented
99C2×#451C2211yescharacteristic, complemented
100C2×#451C2211yescharacteristic, complemented
101C2×#448C2211yescharacteristic
102C2×#448C2211yescharacteristic, complemented
103C2×#448C2211yescharacteristic, complemented
104C2×#450C2211yescharacteristic
105C2×#450C2211yescharacteristic
106C2×#447C2211yescharacteristic
107C2×#440C2211yescharacteristic, complemented
108C2×C4×Q16C2211yescharacteristic, complemented
109C2×#436C2211yescharacteristic, complemented
110C2×#435C2211yescharacteristic, complemented
111C2×#417C2211yescharacteristic
112C2×#417C2211yescharacteristic
113C2×#417C2211yescharacteristic, complemented
114C22×#103C2211yescharacteristic, complemented
115C2×#408C2211yescharacteristic, complemented
116C2×#407C2211yescharacteristic
117#2847C2211yescharacteristic
118#2683—21no—
119#2681—21no—
120#2676—21no—
121#2672—21no—
122#2620C2211yescharacteristic, complemented
123#2616C2211yescharacteristic, complemented
124#2540C2211yescharacteristic
125#2538C2211yescharacteristic
126#2449—21no—
127#2424—21no—
128#2424—21no—
129#2417C2211yescharacteristic
130#2416—21no—
131#2416C2211yescharacteristic, complemented
132#2409C2211yescharacteristic, complemented
133#2407C2211yescharacteristic
134D4×C4⋊C4C2211yescharacteristic, complemented
135#2323C2211yescharacteristic, complemented
136#2043C2211yescharacteristic, complemented
137#2042C2211yescharacteristic, complemented
138#2036C2211yescharacteristic
139#2036C2211yescharacteristic
140#2036C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2013C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2001C2211yescharacteristic
149#2001C2211yescharacteristic
150#2001C2211yescharacteristic
151#2001C2211yescharacteristic
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1981C2211yescharacteristic, complemented
162#1959C2211yescharacteristic, complemented
163#1956C2211yescharacteristic, complemented
164#1955C2211yescharacteristic
165#1954C2211yescharacteristic
166#1894C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1893C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1803C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1798C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204#1780C2211yescharacteristic, complemented
205#1779C2211yescharacteristic
206#1763C2211yescharacteristic, complemented
207C4×#102C2211yescharacteristic, complemented
208#1750C2211yescharacteristic, complemented
209C2×2−1+4—24no—
210C2×2−1+4—24no—
211C2×2−1+4—24no—
212C2×2−1+4—42no—
213C2×2−1+4—42no—
214C2×2−1+4—42no—
215C22×#41—24no—
216C22×#41—24no—
217C22×#41—21no—
218C22×#41—21no—
219C22×#41—21no—
220C22×#41—21no—
221C22×#41—21no—
222C22×#41—24no—
223C22×#41—42no—
224C22×#41—42no—
225C22×#41—42no—
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2311yescharacteristic
229C22×#41C2311yescharacteristic
230C22×#41C2311yescharacteristic
231C22×#41C2311yescharacteristic
232C22×#41C2311yescharacteristic
233C22×#41C2311yescharacteristic
234C23×Q8—21no—
235C23×Q8C2311yescharacteristic
236C23×Q8C2311yescharacteristic
237C23×Q8C2311yescharacteristic
238C23×Q8C2311yescharacteristic
239C23×Q8C2311yescharacteristic
240C23×D4—21no—
241C23×D4C2311yescharacteristic
242C24×C4—21no—
243C24×C4C2311yescharacteristic
244C2×#137—24no—
245C2×#137—24no—
246C2×#137—24no—
247C2×#137—24no—
248C2×#137—24no—
249C2×#137—24no—
250C2×#137—42no—
251C2×#137—42no—
252C2×#137—42no—
253C2×#135—24no—
254C2×#135—24no—
255C2×#135—42no—
256C22×Q16C2311yescharacteristic
257C22×Q16C2311yescharacteristic
258C22×Q16C2311yescharacteristic
259C22×Q16C2311yescharacteristic
260C22×Q16C2311yescharacteristic
261C22×Q16C2311yescharacteristic
262C22×Q16C2311yescharacteristic
263C22×Q16C2311yescharacteristic
264C22×SD16C2311yescharacteristic
265C22×SD16C2311yescharacteristic
266C22×SD16C2311yescharacteristic
267C22×SD16C2311yescharacteristic
268C22×SD16C2311yescharacteristic
269C22×SD16C2311yescharacteristic
270C22×SD16C2311yescharacteristic
271C22×SD16C2311yescharacteristic
272C22×D8C2311yescharacteristic
273C22×D8C2311yescharacteristic
274C22×M16C2311yescharacteristic
275C22×M16C2311yescharacteristic
276C22×M16C2311yescharacteristic
277C23×C8C2311yescharacteristic
278D4×Q8—24no—
279D4×Q8—24no—
280D4×Q8—24no—
281D4×Q8—24no—
282#548—24no—
283#548—24no—
284#548—24no—
285#548—24no—
286#548—24no—
287#548D418yescomplemented
288#547—216no—
289#547—216no—
290#547—24no—
291#547—24no—
292#547—24no—
293#547D418yescomplemented
294#546—216no—
295#546—216no—
296#546—24no—
297#546—24no—
298#546—24no—
299#546—24no—
300#537—216no—
301#537—24no—
302#537—24no—
303#537—24no—
304#537—42no—
305#536—216no—
306#536—24no—
307#536—24no—
308C2×C4⋊Q8—21no—
309C2×C4⋊Q8—21no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#124—21no—
313C2×#124—21no—
314C2×#124—21no—
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318#525—216no—
319#525—24no—
320#525—24no—
321C2×#123—21no—
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123—21no—
327C2×#123—21no—
328C2×#123—21no—
329C2×#123D411yescharacteristic
330C2×#123D411yescharacteristic
331C2×C22⋊Q8—216no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8—24no—
336C2×C22⋊Q8—24no—
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8—21no—
339C2×C22⋊Q8—21no—
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8—21no—
342C2×C22⋊Q8—21no—
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8—21no—
346C2×C22⋊Q8—21no—
347C2×C22⋊Q8—21no—
348C2×C22⋊Q8—21no—
349C2×C22⋊Q8—24no—
350C2×C22⋊Q8—42no—
351C2×C22⋊Q8D411yescharacteristic
352C2×C22⋊Q8D411yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×#121—21no—
367C2×#121—21no—
368C2×#121—21no—
369C2×#121—21no—
370C2×#121—21no—
371C2×#121—21no—
372C2×#121—21no—
373C2×#121—21no—
374C2×#121—21no—
375C2×#121—21no—
376C2×#121—21no—
377C2×#121—21no—
378C2×#121—21no—
379C2×#121—21no—
380C2×#121D411yescharacteristic
381C2×#121D411yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#120—21no—
389C2×#120—21no—
390C2×#120—21no—
391C2×#120D411yescharacteristic
392C2×#120D411yescharacteristic
393#520—24no—
394#520—24no—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×D4—21no—
399C2×C4×D4—21no—
400C2×C4×D4—21no—
401C2×C4×D4—21no—
402C2×C4×D4—21no—
403C2×C4×D4—21no—
404C2×C4×D4—21no—
405C2×C4×D4—21no—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×#117—21no—
413C2×#117C2311yescharacteristic
414C22×C4⋊C4—21no—
415C22×C4⋊C4—21no—
416C22×C4⋊C4—21no—
417C22×C4⋊C4—21no—
418C22×C4⋊C4—21no—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C22⋊C4—21no—
423C22×C22⋊C4—21no—
424C22×C22⋊C4—21no—
425C22×C22⋊C4—21no—
426#497—24no—
427#495—24no—
428#468—24no—
429#468—24no—
430#468—24no—
431#467—24no—
432#464—24no—
433#464—24no—
434#463—24no—
435#462—24no—
436#452—24no—
437#452—24no—
438#452—24no—
439#452—24no—
440#452—24no—
441#452—24no—
442#452—42no—
443#452D418yescomplemented
444#451—24no—
445#451—24no—
446#451—24no—
447#451—24no—
448#451—24no—
449#451—24no—
450#451—24no—
451#451—42no—
452#451—42no—
453#450—24no—
454#450—24no—
455#449—24no—
456#449—24no—
457#449—24no—
458#449—24no—
459#449—24no—
460#449—42no—
461#448—24no—
462#448—24no—
463#448—42no—
464#447—42no—
465#440—24no—
466C4×Q16—24no—
467#436—24no—
468#435—24no—
469C2×#107C2311yescharacteristic
470C2×#107C2311yescharacteristic
471C2×C4⋊C8C2311yescharacteristic
472C2×C4⋊C8C2311yescharacteristic
473#417—24no—
474#417—24no—
475#417—24no—
476C2×#103—24no—
477C2×#103C2311yescharacteristic
478C2×#103C2311yescharacteristic
479C2×#103C2311yescharacteristic
480C2×#103C2311yescharacteristic
481C2×#103C2311yescharacteristic
482C2×#103C2311yescharacteristic
483C2×#103C2311yescharacteristic
484C2×#103C2311yescharacteristic
485C2×#103C2311yescharacteristic
486C2×#103C2311yescharacteristic
487C2×#103C2311yescharacteristic
488C2×#103C2311yescharacteristic
489C2×#103C2311yescharacteristic
490C2×#103C2311yescharacteristic
491C2×#103C2311yescharacteristic
492C2×#103C2311yescharacteristic
493C2×#103C2311yescharacteristic
494C2×#103C2311yescharacteristic
495C2×#103C2311yescharacteristic
496C2×#103C2311yescharacteristic
497C2×#103C2311yescharacteristic
498C2×#103C2311yescharacteristic
499C2×#103C2311yescharacteristic
500C2×#103C2311yescharacteristic
501C2×#102C2311yescharacteristic
502C2×#102C2311yescharacteristic
503C2×#102C2311yescharacteristic
504C2×#102C2311yescharacteristic
505C2×#102C2311yescharacteristic
506C2×#102C2311yescharacteristic
507C2×#102C2311yescharacteristic
508C2×#102C2311yescharacteristic
509C2×#102C2311yescharacteristic
510C2×#102C2311yescharacteristic
511C2×#102C2311yescharacteristic
512C2×#102C2311yescharacteristic
513#408—24no—
514#407—24no—
515C2×C22⋊C8C2311yescharacteristic
516C2×C22⋊C8C2311yescharacteristic
517C2×C22⋊C8C2311yescharacteristic
518C2×C22⋊C8C2311yescharacteristic
519C2×C22⋊C8C2311yescharacteristic
520C2×C22⋊C8C2311yescharacteristic
521C2×C22⋊C8C2311yescharacteristic
522C2×C22⋊C8C2311yescharacteristic
523C2×C22⋊C8C2311yescharacteristic
524C2×C22⋊C8C2311yescharacteristic
525C2×C22⋊C8C2311yescharacteristic
526C2×C22⋊C8C2311yescharacteristic
527C2×C22⋊C8C2311yescharacteristic
528C2×C22⋊C8C2311yescharacteristic
529C2×C22⋊C8C2311yescharacteristic
530C2×C22⋊C8C2311yescharacteristic
531C2×#97C2311yescharacteristic
532C2×C4×C8C2311yescharacteristic
533#399—21no—
534#398—21no—
535#396—21no—
536#396—21no—
537#396—21no—
538#396—21no—
539#396—21no—
540#396—21no—
541#395—21no—
542#395—21no—
543#394—21no—
544#394—21no—
545#394—21no—
546#394—21no—
547#394—21no—
548#394—21no—
549#394—21no—
550#393—21no—
551#392—21no—
552#392—21no—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#390—21no—
556#390—21no—
557#390—21no—
558#390C2311yescharacteristic
559#389—21no—
560#389—21no—
561#389—21no—
562#389C2311yescharacteristic
563#388—21no—
564#388—21no—
565#387—21no—
566#386—21no—
567#386—21no—
568#386—21no—
569#386—21no—
570#386—21no—
571#386—21no—
572#386—21no—
573#385—21no—
574#385—21no—
575#385—21no—
576#385—21no—
577#384C2311yescharacteristic
578#380—21no—
579#380C2311yescharacteristic
580#380C2311yescharacteristic
581#380C2311yescharacteristic
582#380C2311yescharacteristic
583#380C2311yescharacteristic
584C4×C4⋊C4C2311yescharacteristic
585#340C2311yescharacteristic
586#340C2311yescharacteristic
587#340C2311yescharacteristic
588#340C2311yescharacteristic
589#340C2311yescharacteristic
590#340C2311yescharacteristic
591#340C2311yescharacteristic
592#340C2311yescharacteristic
593#336C2311yescharacteristic
594#336C2311yescharacteristic
595#336C2311yescharacteristic
596#336C2311yescharacteristic
597C25—21no—
598C25C2×D411yescharacteristic
5992−1+4—416no—
6002−1+4—416no—
6012−1+4—416no—
6022−1+4—416no—
603C2×#41—28no—
604C2×#41—28no—
605C2×#41—28no—
606C2×#41—28no—
607C2×#41—28no—
608C2×#41—22no—
609C2×#41—22no—
610C2×#41—22no—
611C2×#41—22no—
612C2×#41—22no—
613C2×#41—22no—
614C2×#41—22no—
615C2×#41—22no—
616C2×#41—22no—
617C2×#41—22no—
618C2×#41—22no—
619C2×#41—22no—
620C2×#41—22no—
621C2×#41—22no—
622C2×#41—22no—
623C2×#41—22no—
624C2×#41—22no—
625C2×#41—22no—
626C2×#41—22no—
627C2×#41—22no—
628C2×#41—22no—
629C2×#41—22no—
630C2×#41—22no—
631C2×#41—22no—
632C2×#41—22no—
633C2×#41—22no—
634C2×#41—22no—
635C2×#41—22no—
636C2×#41—22no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—44no—
640C2×#41—41no—
641C2×#41—41no—
642C2×#41—41no—
643C2×#41—41no—
644C2×#41—41no—
645C2×#41—41no—
646C2×#41—41no—
647C2×#41—41no—
648C2×#41—41no—
649C2×#41—41no—
650C2×#41—41no—
651C2×#41—44no—
652C2×#41—44no—
653C2×#41—44no—
654C2×#41—44no—
655C2×#41—41no—
656C2×#41—41no—
657C2×#41—44no—
658C2×#41—44no—
659C2×#41—44no—
660C2×#41—44no—
661C2×#41—44no—
662C2×#41—416no—
663C2×#41—416no—
664C2×#41—416no—
665C2×#41—416no—
666C2×#41C2×D414yes—
667C2×#41C2×D414yes—
668C2×#41C2×D414yes—
669C2×#41C2×D414yes—
670C22×Q8—28no—
671C22×Q8—22no—
672C22×Q8—22no—
673C22×Q8—22no—
674C22×Q8—22no—
675C22×Q8—22no—
676C22×Q8—22no—
677C22×Q8—21no—
678C22×Q8—21no—
679C22×Q8—21no—
680C22×Q8—21no—
681C22×Q8—22no—
682C22×Q8—21no—
683C22×Q8—22no—
684C22×Q8—22no—
685C22×Q8—22no—
686C22×Q8—22no—
687C22×Q8—22no—
688C22×Q8—22no—
689C22×Q8—22no—
690C22×Q8—22no—
691C22×Q8—22no—
692C22×Q8—22no—
693C22×Q8—22no—
694C22×Q8—41no—
695C22×Q8—41no—
696C22×Q8—41no—
697C22×Q8—41no—
698C22×Q8—41no—
699C22×Q8—41no—
700C22×Q8—41no—
701C22×Q8—41no—
702C22×Q8—41no—
703C22×Q8—44no—
704C22×Q8—44no—
705C22×Q8—41no—
706C22×Q8—41no—
707C22×Q8C2×D414yes—
708C22×Q8C2×D411yescharacteristic
709C22×Q8C2411yescharacteristic
710C22×Q8C2411yescharacteristic
711C22×Q8C2411yescharacteristic
712C22×Q8C2411yescharacteristic
713C22×Q8C2411yescharacteristic
714C22×Q8C2411yescharacteristic
715C22×D4—21no—
716C22×D4—28no—
717C22×D4—21no—
718C22×D4—21no—
719C22×D4—21no—
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4—21no—
724C22×D4—22no—
725C22×D4—22no—
726C22×D4—22no—
727C22×D4—22no—
728C22×D4—21no—
729C22×D4—21no—
730C22×D4—21no—
731C22×D4—21no—
732C22×D4—21no—
733C22×D4—21no—
734C22×D4—41no—
735C22×D4—41no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4C2×D411yescharacteristic
739C22×D4C2×D411yescharacteristic
740C22×D4C2×D411yescharacteristic
741C22×D4C2×D411yescharacteristic
742C22×D4C2×D411yescharacteristic
743C22×D4C2×D411yescharacteristic
744C22×D4C2×D411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2411yescharacteristic
748C23×C4—21no—
749C23×C4—28no—
750C23×C4—21no—
751C23×C4—21no—
752C23×C4—21no—
753C23×C4—21no—
754C23×C4—21no—
755C23×C4—21no—
756C23×C4—21no—
757C23×C4—21no—
758C23×C4—21no—
759C23×C4—21no—
760C23×C4—22no—
761C23×C4—22no—
762C23×C4—22no—
763C23×C4—22no—
764C23×C4—21no—
765C23×C4—21no—
766C23×C4—21no—
767C23×C4—21no—
768C23×C4—21no—
769C23×C4—21no—
770C23×C4—41no—
771C23×C4—41no—
772C23×C4—44no—
773C23×C4—44no—
774C23×C4C2×D411yescharacteristic
775C23×C4C2×D411yescharacteristic
776C23×C4C2×D411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782#137—416no—
783#137—416no—
784#137—416no—
785#135—416no—
786C2×Q16—22no—
787C2×Q16—22no—
788C2×Q16—22no—
789C2×Q16—22no—
790C2×Q16—22no—
791C2×Q16—22no—
792C2×Q16—22no—
793C2×Q16—22no—
794C2×Q16—22no—
795C2×Q16—22no—
796C2×Q16—22no—
797C2×Q16—22no—
798C2×Q16—22no—
799C2×Q16—22no—
800C2×Q16—22no—
801C2×Q16—41no—
802C2×Q16—41no—
803C2×Q16—41no—
804C2×Q16—41no—
805C2×Q16—41no—
806C2×Q16—41no—
807C2×Q16—41no—
808C2×Q16—41no—
809C2×Q16C2×D414yes—
810C2×SD16—22no—
811C2×SD16—22no—
812C2×SD16—22no—
813C2×SD16—22no—
814C2×SD16—22no—
815C2×SD16—22no—
816C2×SD16—22no—
817C2×SD16—22no—
818C2×SD16—22no—
819C2×SD16—22no—
820C2×SD16—22no—
821C2×SD16—22no—
822C2×SD16—22no—
823C2×SD16—22no—
824C2×SD16—22no—
825C2×SD16—22no—
826C2×SD16—22no—
827C2×SD16—41no—
828C2×SD16—41no—
829C2×SD16—41no—
830C2×SD16—41no—
831C2×SD16—41no—
832C2×SD16—41no—
833C2×SD16C2×D414yes—
834C2×D8—22no—
835C2×D8—22no—
836C2×D8—22no—
837C2×D8—22no—
838C2×D8—41no—
839C2×D8—41no—
840C2×M16—22no—
841C2×M16—22no—
842C2×M16—22no—
843C2×M16—22no—
844C2×M16—22no—
845C2×M16—22no—
846C2×M16—41no—
847C2×M16—41no—
848C2×M16—41no—
849C22×C8—22no—
850C22×C8—22no—
851C22×C8—41no—
852C22×C8C2411yescharacteristic
853C22×C8C2411yescharacteristic
854C22×C8C2411yescharacteristic
855C22×C8C2411yescharacteristic
856C22×C8C2411yescharacteristic
857C22×C8C2411yescharacteristic
858C22×C8C2411yescharacteristic
859C22×C8C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—22no—
863C4⋊Q8—22no—
864C4⋊Q8—22no—
865C4⋊Q8C2×D414yes—
866#124—28no—
867#124—22no—
868#124—22no—
869#124—28no—
870#124—22no—
871#124—22no—
872#124—22no—
873#124—44no—
874#124C2×D414yes—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123—28no—
881#123—24no—
882#123—28no—
883#123—28no—
884#123—24no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—22no—
896C22⋊Q8—22no—
897C22⋊Q8—22no—
898C22⋊Q8—22no—
899C22⋊Q8—22no—
900C22⋊Q8—22no—
901C22⋊Q8—22no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—22no—
905C22⋊Q8—22no—
906C22⋊Q8—22no—
907C22⋊Q8—24no—
908C22⋊Q8—22no—
909C22⋊Q8—22no—
910C22⋊Q8—22no—
911C22⋊Q8—22no—
912C22⋊Q8—22no—
913C22⋊Q8—22no—
914C22⋊Q8—22no—
915C22⋊Q8—44no—
916C22⋊Q8—41no—
917C22⋊Q8—41no—
918C22⋊Q8—41no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—41no—
923C22⋊Q8—41no—
924C22⋊Q8C2×D414yes—
925C22⋊Q8C2×D414yes—
926C22⋊Q8C2×D414yes—
927C22⋊Q8C2×D414yes—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—24no—
938#121—22no—
939#121—22no—
940#121—22no—
941#121—24no—
942#121—22no—
943#121—22no—
944#121—22no—
945#121—22no—
946#121—22no—
947#121—44no—
948#121—44no—
949#121—41no—
950#121—44no—
951#121—44no—
952#121—41no—
953#121—41no—
954#121—82no—
955#121C2×D414yes—
956#120—28no—
957#120—28no—
958#120—24no—
959#120—24no—
960#120—82no—
961C4×Q8—22no—
962C4×Q8—22no—
963C4×Q8—22no—
964C4×Q8—22no—
965C4×Q8—22no—
966C4×Q8C2×D414yes—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—22no—
973C4×D4—22no—
974C4×D4—22no—
975C4×D4—22no—
976C4×D4—22no—
977C4×D4—22no—
978C4×D4—28no—
979C4×D4—22no—
980C4×D4—22no—
981C4×D4—22no—
982C4×D4—44no—
983C4×D4—82no—
984C4×D4C2×D414yes—
985C4×D4C2×D414yes—
986C4×D4C2×D414yes—
987#117—28no—
988#117—22no—
989#117—22no—
990C2×C4⋊C4—28no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—21no—
994C2×C4⋊C4—21no—
995C2×C4⋊C4—21no—
996C2×C4⋊C4—21no—
997C2×C4⋊C4—21no—
998C2×C4⋊C4—21no—
999C2×C4⋊C4—21no—
1000C2×C4⋊C4—21no—
1001C2×C4⋊C4—21no—
1002C2×C4⋊C4—21no—
1003C2×C4⋊C4—21no—
1004C2×C4⋊C4—21no—
1005C2×C4⋊C4—21no—
1006C2×C4⋊C4—21no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—22no—
1009C2×C4⋊C4—22no—
1010C2×C4⋊C4—22no—
1011C2×C4⋊C4—22no—
1012C2×C4⋊C4—21no—
1013C2×C4⋊C4—21no—
1014C2×C4⋊C4—21no—
1015C2×C4⋊C4—21no—
1016C2×C4⋊C4—21no—
1017C2×C4⋊C4—21no—
1018C2×C4⋊C4—21no—
1019C2×C4⋊C4—21no—
1020C2×C4⋊C4—21no—
1021C2×C4⋊C4—21no—
1022C2×C4⋊C4—21no—
1023C2×C4⋊C4—21no—
1024C2×C4⋊C4—41no—
1025C2×C4⋊C4—41no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4C2×D411yescharacteristic
1028C2×C4⋊C4C2×D411yescharacteristic
1029C2×C4⋊C4C2×D411yescharacteristic
1030C2×C4⋊C4C2×D411yescharacteristic
1031C2×C4⋊C4C2×D411yescharacteristic
1032C2×C4⋊C4C2×D411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4—28no—
1041C2×C22⋊C4—28no—
1042C2×C22⋊C4—28no—
1043C2×C22⋊C4—21no—
1044C2×C22⋊C4—21no—
1045C2×C22⋊C4—21no—
1046C2×C22⋊C4—21no—
1047C2×C22⋊C4—21no—
1048C2×C22⋊C4—21no—
1049C2×C22⋊C4—21no—
1050C2×C22⋊C4—21no—
1051C2×C22⋊C4—21no—
1052C2×C22⋊C4—21no—
1053C2×C22⋊C4—21no—
1054C2×C22⋊C4—21no—
1055C2×C22⋊C4—21no—
1056C2×C22⋊C4—21no—
1057C2×C22⋊C4—21no—
1058C2×C22⋊C4—21no—
1059C2×C22⋊C4—21no—
1060C2×C22⋊C4—21no—
1061C2×C22⋊C4—21no—
1062C2×C22⋊C4—21no—
1063C2×C22⋊C4—21no—
1064C2×C22⋊C4—21no—
1065C2×C22⋊C4—21no—
1066C2×C22⋊C4—21no—
1067C2×C22⋊C4—21no—
1068C2×C22⋊C4—21no—
1069C2×C22⋊C4—21no—
1070C2×C22⋊C4—21no—
1071C2×C22⋊C4—21no—
1072C2×C22⋊C4—21no—
1073C2×C22⋊C4—21no—
1074C2×C22⋊C4—21no—
1075C2×C22⋊C4—21no—
1076C2×C22⋊C4—21no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4C2×D411yescharacteristic
1079C2×C22⋊C4C2×D411yescharacteristic
1080C2×C22⋊C4C2×D411yescharacteristic
1081C2×C22⋊C4C2×D411yescharacteristic
1082C2×C22⋊C4C2×D411yescharacteristic
1083C2×C22⋊C4C2×D411yescharacteristic
1084C2×C22⋊C4C2×D411yescharacteristic
1085C2×C22⋊C4C2×D411yescharacteristic
1086C2×C22⋊C4C2×D411yescharacteristic
1087C2×C22⋊C4C2×D411yescharacteristic
1088C2×C42—21no—
1089C2×C42—21no—
1090C2×C42—21no—
1091C2×C42—21no—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094#107—22no—
1095#107—22no—
1096C4⋊C8—22no—
1097C4⋊C8—22no—
1098#103—22no—
1099#103—22no—
1100#103—22no—
1101#103—22no—
1102#103—22no—
1103#103—22no—
1104#103—22no—
1105#103—22no—
1106#103—22no—
1107#103—22no—
1108#103—22no—
1109#103—22no—
1110#103—22no—
1111#103—22no—
1112#103—22no—
1113#103—22no—
1114#103—22no—
1115#103—41no—
1116#103—41no—
1117#103—41no—
1118#103—41no—
1119#103—41no—
1120#103—41no—
1121#103C2×D414yes—
1122#102—22no—
1123#102—22no—
1124#102—22no—
1125#102—22no—
1126#102—22no—
1127#102—22no—
1128#102—22no—
1129#102—22no—
1130#102—22no—
1131#102—41no—
1132#102—41no—
1133#102C2×D414yes—
1134C22⋊C8—22no—
1135C22⋊C8—22no—
1136C22⋊C8—22no—
1137C22⋊C8—22no—
1138C22⋊C8—22no—
1139C22⋊C8—22no—
1140C22⋊C8—22no—
1141C22⋊C8—22no—
1142C22⋊C8—22no—
1143C22⋊C8—22no—
1144C22⋊C8—22no—
1145C22⋊C8—41no—
1146C22⋊C8—41no—
1147C22⋊C8—41no—
1148C22⋊C8—41no—
1149C22⋊C8C2×D414yes—
1150#97—22no—
1151C4×C8—22no—
1152#95—21no—
1153#95—21no—
1154#95—21no—
1155#95—21no—
1156#95—21no—
1157#95—21no—
1158#95—21no—
1159#95—21no—
1160#95—21no—
1161#95—21no—
1162#95—21no—
1163C24—21no—
1164C24—24no—
1165C24—21no—
1166C24—22no—
1167C24—22no—
1168C24—22no—
1169C24—21no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—81no—
1179C24—81no—
1180C24C22×D411yescharacteristic
1181C24C22×D411yescharacteristic
1182C24C22×D411yescharacteristic
1183C24C22×D411yescharacteristic
1184C24C22×D411yescharacteristic
1185#41—28no—
1186#41—28no—
1187#41—28no—
1188#41—28no—
1189#41—28no—
1190#41—28no—
1191#41—28no—
1192#41—44no—
1193#41—44no—
1194#41—44no—
1195#41—44no—
1196#41—44no—
1197#41—44no—
1198#41—44no—
1199#41—44no—
1200#41—44no—
1201#41—44no—
1202#41—44no—
1203#41—44no—
1204#41—44no—
1205#41—44no—
1206#41—44no—
1207#41—44no—
1208#41—44no—
1209#41—432no—
1210#41—432no—
1211#41—44no—
1212#41—44no—
1213#41—44no—
1214#41—44no—
1215#41—432no—
1216#41—432no—
1217#41—432no—
1218#41—44no—
1219#41—44no—
1220#41—82no—
1221#41—82no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—21no—
1229C2×Q8—21no—
1230C2×Q8—21no—
1231C2×Q8—21no—
1232C2×Q8—21no—
1233C2×Q8—21no—
1234C2×Q8—21no—
1235C2×Q8—28no—
1236C2×Q8—21no—
1237C2×Q8—21no—
1238C2×Q8—21no—
1239C2×Q8—21no—
1240C2×Q8—21no—
1241C2×Q8—21no—
1242C2×Q8—21no—
1243C2×Q8—21no—
1244C2×Q8—21no—
1245C2×Q8—21no—
1246C2×Q8—21no—
1247C2×Q8—21no—
1248C2×Q8—21no—
1249C2×Q8—21no—
1250C2×Q8—21no—
1251C2×Q8—21no—
1252C2×Q8—21no—
1253C2×Q8—21no—
1254C2×Q8—21no—
1255C2×Q8—21no—
1256C2×Q8—21no—
1257C2×Q8—21no—
1258C2×Q8—41no—
1259C2×Q8—42no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—44no—
1267C2×Q8—44no—
1268C2×Q8—44no—
1269C2×Q8—44no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×Q8—42no—
1274C2×Q8—432no—
1275C2×Q8—44no—
1276C2×Q8—44no—
1277C2×Q8—44no—
1278C2×Q8—44no—
1279C2×Q8—44no—
1280C2×Q8—44no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×Q8—44no—
1284C2×Q8—44no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×Q8—81no—
1288C2×Q8—82no—
1289C2×Q8—82no—
1290C2×Q8C22×D412yes—
1291C2×Q8C22×D412yes—
1292C2×Q8C22×D412yes—
1293C2×Q8C22×D412yes—
1294C2×Q8C22×D412yes—
1295C2×Q8C22×D412yes—
1296C2×Q8H(5,𝔽2)12yes—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—21no—
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—432no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—81no—
1368C2×D4—81no—
1369C2×D4—81no—
1370C2×D4—81no—
1371C2×D4—81no—
1372C2×D4—81no—
1373C2×D4—81no—
1374C2×D4—81no—
1375C2×D4—81no—
1376C2×D4—81no—
1377C2×D4—81no—
1378C2×D4#12014yes—
1379C2×D4C22×D412yes—
1380C2×D4C22×D412yes—
1381C2×D4C22×D412yes—
1382C2×D4H(5,𝔽2)12yes—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—21no—
1386C22×C4—24no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—24no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—432no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—81no—
1475C22×C4—81no—
1476C22×C4—81no—
1477C22×C4—81no—
1478C22×C4—81no—
1479C22×C4—81no—
1480C22×C4—81no—
1481C22×C4—81no—
1482C22×C4—81no—
1483C22×C4—81no—
1484C22×C4—81no—
1485C22×C4C22×D411yescharacteristic
1486C22×C4C22×D411yescharacteristic
1487C22×C4C22×D411yescharacteristic
1488C22×C4C22×D411yescharacteristic
1489C22×C4C22×D411yescharacteristic
1490C22×C4C22×D411yescharacteristic
1491C22×C4C22×D411yescharacteristic
1492C22×C4C22×D411yescharacteristic
1493C22×C4C22×D412yes—
1494C22×C4C22×D412yes—
1495C22×C4C22×D412yes—
1496C22×C4C22×D412yes—
1497C22×C4C22×D411yescharacteristic
1498C22×C4C22×D412yes—
1499C22×C4H(5,𝔽2)12yes—
1500C22×C4C2511yescharacteristic
1501Q16—28no—
1502Q16—44no—
1503Q16—44no—
1504Q16—44no—
1505Q16—44no—
1506Q16—44no—
1507Q16—82no—
1508Q16—82no—
1509SD16—28no—
1510SD16—44no—
1511SD16—44no—
1512SD16—44no—
1513SD16—44no—
1514SD16—44no—
1515SD16—44no—
1516SD16—82no—
1517D8—44no—
1518D8—82no—
1519M16—44no—
1520M16—44no—
1521M16—44no—
1522C2×C8—21no—
1523C2×C8—21no—
1524C2×C8—21no—
1525C2×C8—21no—
1526C2×C8—21no—
1527C2×C8—21no—
1528C2×C8—21no—
1529C2×C8—21no—
1530C2×C8—21no—
1531C2×C8—21no—
1532C2×C8—21no—
1533C2×C8—21no—
1534C2×C8—21no—
1535C2×C8—21no—
1536C2×C8—21no—
1537C2×C8—21no—
1538C2×C8—21no—
1539C2×C8—21no—
1540C2×C8—21no—
1541C2×C8—21no—
1542C2×C8—21no—
1543C2×C8—21no—
1544C2×C8—44no—
1545C2×C8C22×D412yes—
1546C2×C8C22×D412yes—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—81no—
1586C4⋊C4—81no—
1587C4⋊C4—81no—
1588C4⋊C4—81no—
1589C4⋊C4#12014yes—
1590C4⋊C4C22×D412yes—
1591C4⋊C4C22×D412yes—
1592C4⋊C4C22×D412yes—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—81no—
1628C22⋊C4—81no—
1629C22⋊C4—81no—
1630C22⋊C4—81no—
1631C22⋊C4—81no—
1632C22⋊C4—81no—
1633C22⋊C4—81no—
1634C22⋊C4—81no—
1635C22⋊C4#12014yes—
1636C22⋊C4#12014yes—
1637C42—24no—
1638C42—24no—
1639C42—21no—
1640C42—21no—
1641C42—42no—
1642C42—81no—
1643C42C22×D412yes—
1644C42C22×D412yes—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—21no—
1665C23—22no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—44no—
1681C23—44no—
1682C23—44no—
1683C23—48no—
1684C23—48no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—82no—
1703C23—82no—
1704C23—82no—
1705C23—84no—
1706C23—84no—
1707C23—84no—
1708C23—82no—
1709C23—84no—
1710C23—84no—
1711C23C2×#12012yes—
1712C23C2×#12012yes—
1713C23D4212yes—
1714C23#57812yes—
1715C23C23×D411yescharacteristic
1716Q8—22no—
1717Q8—22no—
1718Q8—22no—
1719Q8—22no—
1720Q8—22no—
1721Q8—22no—
1722Q8—22no—
1723Q8—22no—
1724Q8—22no—
1725Q8—22no—
1726Q8—22no—
1727Q8—44no—
1728Q8—48no—
1729Q8—48no—
1730Q8—48no—
1731Q8—48no—
1732Q8—41no—
1733Q8—41no—
1734Q8—41no—
1735Q8—41no—
1736Q8—41no—
1737Q8—41no—
1738Q8—41no—
1739Q8—41no—
1740Q8—41no—
1741Q8—41no—
1742Q8—41no—
1743Q8—41no—
1744Q8—84no—
1745Q8D4214yes—
1746D4—216no—
1747D4—22no—
1748D4—22no—
1749D4—22no—
1750D4—22no—
1751D4—22no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—48no—
1757D4—44no—
1758D4—44no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—41no—
1765D4—41no—
1766D4—41no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—82no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—84no—
1775D4—162no—
1776D4—162no—
1777D4—162no—
1778D4D4214yes—
1779C2×C4—216no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—44no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—48no—
1829C2×C4—48no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—84no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—84no—
1877C2×C4—84no—
1878C2×C4—84no—
1879C2×C4—162no—
1880C2×C4C2×#12012yes—
1881C2×C4C2×#12012yes—
1882C2×C4C2×#12012yes—
1883C2×C4C2×#12012yes—
1884C2×C4D4212yes—
1885C2×C4C23×D411yescharacteristic
1886C2×C4C23×D411yescharacteristic
1887C2×C4C23×D411yescharacteristic
1888C2×C4C2×H(5,𝔽2)11yescharacteristic
1889C2×C4C2×H(5,𝔽2)11yescharacteristic
1890C2×C4C2×H(5,𝔽2)11yescharacteristic
1891C8—22no—
1892C8—22no—
1893C8—41no—
1894C8—41no—
1895C8—41no—
1896C8—41no—
1897C8—41no—
1898C8—41no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—24no—
1910C22—22no—
1911C22—22no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—42no—
1916C22—41no—
1917C22—41no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—42no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—41no—
1927C22—42no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—42no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—41no—
1942C22—41no—
1943C22—42no—
1944C22—88no—
1945C22—816no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22C22×#12011yescharacteristic
1958C22C2×D4211yescharacteristic
1959C22#348411yescharacteristic
1960C22C2×#57811yescharacteristic
1961C22#358511yescharacteristic
1962C22#358611yescharacteristic
1963C22#358611yescharacteristic
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—24no—
1968C4—22no—
1969C4—22no—
1970C4—42no—
1971C4—41no—
1972C4—42no—
1973C4—42no—
1974C4—41no—
1975C4—41no—
1976C4—41no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4—81no—
1982C4—81no—
1983C4—81no—
1984C4—81no—
1985C4—81no—
1986C4C2×D4211yescharacteristic
1987C4C2×D4211yescharacteristic
1988C4#348411yescharacteristic
1989C4#348411yescharacteristic
1990C2—42no—
1991C2—42no—
1992C2—42no—
1993C2—42no—
1994C2—44no—
1995C2—81no—
1996C2—82no—
1997C2—161no—
1998C2D4×#12011yescharacteristic
1999C2#6037111yescharacteristic
2000C2#6037511yescharacteristic
2001C2#6106211yescharacteristic
2002C2#6107611yescharacteristic
2003C2#6161911yescharacteristic
2004C2#6165511yescharacteristic
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×#3489C2semidirect
2. C2×#3277C2semidirect
3. C2×#3269C2semidirect
4. C2×#3013C2semidirect
5. C2×#3007C2semidirect
6. #37649C2semidirect
7. #32919C2semidirect
8. #32887C2semidirect
9. #32880C2semidirect
10. #25766C2semidirect
11. #25762C2semidirect
12. #25737C2semidirect
13. #24454C2semidirect
14. #24452C2semidirect
15. #24441C2semidirect
16. #24437C2semidirect
17. #24393C2semidirect
18. #24387C2semidirect
19. #24259C2semidirect
20. #24243C2semidirect
21. #24221C2semidirect
22. #23929C2semidirect
23. #23921C2semidirect
24. #23868C2semidirect
25. #23867C2semidirect
26. #23865C2semidirect
27. #23850C2semidirect
28. #22431C2semidirect
29. #22421C2semidirect
30. #22400C2semidirect
31. #21465C2semidirect
36. C22×#137C22semidirect
37. C22×#135C22semidirect
44. C2×#548C22semidirect
55. C2×#537C22semidirect
66. C2×#497C22semidirect
67. C2×#495C22semidirect
68. C2×#468C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#467C22semidirect
72. C2×#464C22semidirect
73. C2×#464C22semidirect
74. C2×#462C22semidirect
75. C2×#463C22semidirect
82. C2×#452C22semidirect
83. C2×#452C22semidirect
84. C2×#452C22semidirect
85. C2×#452C22semidirect
90. C2×#449C22semidirect
91. C2×#449C22semidirect
94. C2×#451C22semidirect
95. C2×#451C22semidirect
96. C2×#451C22semidirect
97. C2×#451C22semidirect
98. C2×#451C22semidirect
99. C2×#451C22semidirect
100. C2×#451C22semidirect
102. C2×#448C22semidirect
103. C2×#448C22semidirect
107. C2×#440C22semidirect
108. C2×C4×Q16C22semidirect
109. C2×#436C22semidirect
110. C2×#435C22semidirect
113. C2×#417C22semidirect
114. C22×#103C22semidirect
115. C2×#408C22semidirect
122. #2620C22semidirect
123. #2616C22semidirect
131. #2416C22semidirect
132. #2409C22semidirect
134. D4×C4⋊C4C22semidirect
135. #2323C22semidirect
136. #2043C22semidirect
137. #2042C22semidirect
140. #2036C22semidirect
141. #2033C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
145. #2015C22semidirect
146. #2013C22semidirect
147. #2012C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1981C22semidirect
162. #1959C22semidirect
163. #1956C22semidirect
166. #1894C22semidirect
167. #1894C22semidirect
168. #1894C22semidirect
169. #1893C22semidirect
170. #1880C22semidirect
171. #1879C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1872C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1852C22semidirect
190. #1803C22semidirect
191. #1802C22semidirect
192. #1798C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
202. #1787C22semidirect
204. #1780C22semidirect
206. #1763C22semidirect
207. C4×#102C22semidirect
208. #1750C22semidirect
287. #548D4semidirect
293. #547D4semidirect
443. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#32772
C2×#32692
C2×#30132
C2×#30072
#376492
#329192
#328872
#328802
#257662
#257622
#257372
#244542
#244522
#244412
#244372
#243932
#243872
#242592
#242432
#242212
#239292
#239212
#238682
#238672
#238652
#238502
#224312
#224212
#224002
#214652