Finite Group Databasebeta

← #6583057

Subgroups — #6583057

Order 512.

3290 conjugacy classes of subgroups.

The subgroup lattice has 1913 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3282C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3C2×#3269C211yesmaximal, characteristic, complemented
4C2×#3268C211yesmaximal, characteristic, complemented
5C2×#3266C211yesmaximal, characteristic, complemented
6C2×#3265C211yesmaximal, characteristic, complemented
7#36465C211yesmaximal, characteristic, complemented
8#36260C211yesmaximal, characteristic, complemented
9#33306C211yesmaximal, characteristic, complemented
10#33165C211yesmaximal, characteristic, complemented
11#33164C211yesmaximal, characteristic, complemented
12#28493C211yesmaximal, characteristic, complemented
13#28493C211yesmaximal, characteristic, complemented
14#28492C211yesmaximal, characteristic, complemented
15#28492C211yesmaximal, characteristic, complemented
16#28491C211yesmaximal, characteristic, complemented
17#28484C211yesmaximal, characteristic, complemented
18#25770C211yesmaximal, characteristic, complemented
19#25769C211yesmaximal, characteristic, complemented
20#25768C211yesmaximal, characteristic, complemented
21#25767C211yesmaximal, characteristic, complemented
22#25766C211yesmaximal, characteristic, complemented
23#25765C211yesmaximal, characteristic, complemented
24#25764C211yesmaximal, characteristic, complemented
25#25763C211yesmaximal, characteristic, complemented
26#25762C211yesmaximal, characteristic, complemented
27#25762C211yesmaximal, characteristic, complemented
28#25761C211yesmaximal, characteristic, complemented
29#25761C211yesmaximal, characteristic, complemented
30#21682C211yesmaximal, characteristic, complemented
31C4×#440C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C23×SD16C2211yescharacteristic
36C2×#550C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×#548C2211yescharacteristic, complemented
42C2×#547C2211yescharacteristic
43C2×#546C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×#546C2211yescharacteristic
47C2×D42C2211yescharacteristic
48#3282—28no—
49#3275—28no—
50#3269—28no—
51#3268—28no—
52#3266—28no—
53#3265—28no—
54C2×#497C2211yescharacteristic, complemented
55C2×#497C2211yescharacteristic, complemented
56C2×#497C2211yescharacteristic, complemented
57C2×#497C2211yescharacteristic, complemented
58C2×#496C2211yescharacteristic
59C2×#496C2211yescharacteristic
60C2×#496C2211yescharacteristic, complemented
61C2×#496C2211yescharacteristic, complemented
62C2×#495C2211yescharacteristic, complemented
63C2×#495C2211yescharacteristic, complemented
64C2×#495C2211yescharacteristic, complemented
65C2×#495C2211yescharacteristic, complemented
66C2×#470C2211yescharacteristic, complemented
67C2×#469C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#467C2211yescharacteristic, complemented
73C2×#467C2211yescharacteristic, complemented
74C2×#466C2211yescharacteristic
75C2×#466C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#464C2211yescharacteristic, complemented
79C2×#464C2211yescharacteristic, complemented
80C2×#464C2211yescharacteristic, complemented
81C2×#464C2211yescharacteristic, complemented
82C2×#462C2211yescharacteristic, complemented
83C2×#460C2211yescharacteristic
84C2×#463C2211yescharacteristic
85C2×#463C2211yescharacteristic
86C2×#463C2211yescharacteristic
87C2×#463C2211yescharacteristic
88C2×#461C2211yescharacteristic
89C2×#459C2211yescharacteristic
90C2×#452C2211yescharacteristic
91C2×#452C2211yescharacteristic
92C2×#452C2211yescharacteristic
93C2×#452C2211yescharacteristic, complemented
94C2×#452C2211yescharacteristic, complemented
95C2×#452C2211yescharacteristic, complemented
96C2×#449C2211yescharacteristic
97C2×#449C2211yescharacteristic
98C2×#449C2211yescharacteristic
99C2×#449C2211yescharacteristic
100C2×#449C2211yescharacteristic, complemented
101C2×#449C2211yescharacteristic, complemented
102C2×#451C2211yescharacteristic, complemented
103C2×#451C2211yescharacteristic, complemented
104C2×#451C2211yescharacteristic, complemented
105C2×#448C2211yescharacteristic
106C2×#448C2211yescharacteristic, complemented
107C2×#448C2211yescharacteristic, complemented
108C2×#450C2211yescharacteristic
109C2×#450C2211yescharacteristic
110C2×#450C2211yescharacteristic
111C2×#447C2211yescharacteristic
112C2×#447C2211yescharacteristic
113C2×#447C2211yescharacteristic
114C2×#440C2211yescharacteristic
115C2×#440C2211yescharacteristic
116C2×C4×SD16C2211yescharacteristic
117C2×#436C2211yescharacteristic, complemented
118C2×#435C2211yescharacteristic
119C2×#435C2211yescharacteristic, complemented
120C2×#435C2211yescharacteristic, complemented
121C2×#435C2211yescharacteristic, complemented
122C2×C8×D4C2211yescharacteristic, complemented
123#2858—21no—
124#2858C2211yescharacteristic
125#2858C2211yescharacteristic, complemented
126#2856—21no—
127#2542—21no—
128#2542C2211yescharacteristic
129#2542C2211yescharacteristic, complemented
130#2541—21no—
131#2541C2211yescharacteristic
132#2541C2211yescharacteristic, complemented
133#2540—21no—
134#2540—21no—
135#2540—21no—
136#2540—21no—
137#2540C2211yescharacteristic
138#2540C2211yescharacteristic
139#2540C2211yescharacteristic
140#2540C2211yescharacteristic
141#2540C2211yescharacteristic
142#2540C2211yescharacteristic, complemented
143#2540C2211yescharacteristic, complemented
144#2540C2211yescharacteristic, complemented
145#2539—21no—
146#2539—21no—
147#2539—21no—
148#2539—21no—
149#2501—21no—
150#2433—21no—
151C4×#127—21no—
152C4×#127C2211yescharacteristic
153C2×#390—21no—
154C42×Q8C2211yescharacteristic, complemented
155C42×D4C2211yescharacteristic
156#2001C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2001C2211yescharacteristic, complemented
161#2001C2211yescharacteristic, complemented
162#2000C2211yescharacteristic
163#2000C2211yescharacteristic
164#2000C2211yescharacteristic, complemented
165#2000C2211yescharacteristic, complemented
166#2000C2211yescharacteristic, complemented
167#2000C2211yescharacteristic, complemented
168#2000C2211yescharacteristic, complemented
169#2000C2211yescharacteristic, complemented
170#2000C2211yescharacteristic, complemented
171#2000C2211yescharacteristic, complemented
172#2000C2211yescharacteristic, complemented
173#2000C2211yescharacteristic, complemented
174#1999C2211yescharacteristic
175#1999C2211yescharacteristic
176#1999C2211yescharacteristic, complemented
177#1999C2211yescharacteristic, complemented
178#1999C2211yescharacteristic, complemented
179#1999C2211yescharacteristic, complemented
180#1983C2211yescharacteristic, complemented
181#1983C2211yescharacteristic, complemented
182#1983C2211yescharacteristic, complemented
183#1983C2211yescharacteristic, complemented
184#1983C2211yescharacteristic, complemented
185#1983C2211yescharacteristic, complemented
186#1983C2211yescharacteristic, complemented
187#1983C2211yescharacteristic, complemented
188#1982C2211yescharacteristic
189#1982C2211yescharacteristic, complemented
190#1981C2211yescharacteristic, complemented
191#1981C2211yescharacteristic, complemented
192#1955C2211yescharacteristic
193#1955C2211yescharacteristic, complemented
194#1955C2211yescharacteristic, complemented
195#1955C2211yescharacteristic, complemented
196#1954C2211yescharacteristic, complemented
197#1954C2211yescharacteristic, complemented
198#1842C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#107C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic
205#1762C2211yescharacteristic
206C4×#103C2211yescharacteristic, complemented
207C4×#102C2211yescharacteristic
208C4×#97C2211yescharacteristic, complemented
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C22×#41C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C23×Q8C2311yescharacteristic
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C2×#137—24no—
219C2×#137—24no—
220C2×#137—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×#135—24no—
225C2×#135—24no—
226C2×#135—24no—
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×SD16—24no—
234C22×SD16—24no—
235C22×SD16—24no—
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×M16C2311yescharacteristic
256C22×M16C2311yescharacteristic
257C23×C8C2311yescharacteristic
258C23×C8C2311yescharacteristic
259#550—24no—
260#550—42no—
261D4×Q8—24no—
262D4×Q8—42no—
263#548—24no—
264#548—24no—
265#548—24no—
266#548—24no—
267#548—42no—
268#548—42no—
269#548—42no—
270#548—42no—
271#547—24no—
272#547—42no—
273#546—24no—
274#546—24no—
275#546—24no—
276#546—24no—
277#546—42no—
278#546—42no—
279#546—42no—
280#546—42no—
281D42—24no—
282D42—42no—
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127—21no—
287C2×#127—21no—
288C2×#127—21no—
289C2×#127D411yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#124—21no—
293C2×#124—21no—
294C2×#124—21no—
295C2×#124—21no—
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2311yescharacteristic
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#124C2311yescharacteristic
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123—21no—
308C2×#123—21no—
309C2×#123—21no—
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⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#120—21no—
353C2×#120—21no—
354C2×#120—21no—
355C2×#120—21no—
356C2×#120—21no—
357C2×#120—21no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C22×C4⋊C4—21no—
377C22×C22⋊C4—21no—
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C42—21no—
382#497—24no—
383#497—24no—
384#497—42no—
385#497—42no—
386#496—24no—
387#496—24no—
388#496—42no—
389#496—42no—
390#495—24no—
391#495—24no—
392#495—42no—
393#495—42no—
394#470—24no—
395#469—24no—
396#468—24no—
397#468—24no—
398#468—24no—
399#468—24no—
400#467—24no—
401#467—24no—
402#466—24no—
403#466—24no—
404#465—24no—
405#465—24no—
406#464—24no—
407#464—24no—
408#464—24no—
409#464—24no—
410#463—24no—
411#463—24no—
412#463—24no—
413#463—24no—
414#462—24no—
415#461—24no—
416#460—24no—
417#459—24no—
418#452—24no—
419#452—24no—
420#452—24no—
421#452—24no—
422#452—24no—
423#452—24no—
424#451—24no—
425#451—24no—
426#451—24no—
427#450—24no—
428#450—24no—
429#450—24no—
430#449—24no—
431#449—24no—
432#449—24no—
433#449—24no—
434#449—24no—
435#449—24no—
436#448—24no—
437#448—24no—
438#448—24no—
439#447—24no—
440#447—24no—
441#447—24no—
442#440D418yescomplemented
443#440D418yescomplemented
444C4×SD16D418yescomplemented
445#436—24no—
446#435—24no—
447#435—24no—
448#435—24no—
449#435—24no—
450C8×D4—24no—
451C2×#107C2311yescharacteristic
452C2×#107C2311yescharacteristic
453C2×#106C2311yescharacteristic
454C2×C4⋊C8C2311yescharacteristic
455C2×C4⋊C8C2311yescharacteristic
456C2×C4⋊C8C2311yescharacteristic
457C2×C4⋊C8C2311yescharacteristic
458C2×C4⋊C8C2311yescharacteristic
459C2×C4⋊C8C2311yescharacteristic
460C2×#103C2311yescharacteristic
461C2×#103C2311yescharacteristic
462C2×#103C2311yescharacteristic
463C2×#103C2311yescharacteristic
464C2×#103C2311yescharacteristic
465C2×#103C2311yescharacteristic
466C2×#103C2311yescharacteristic
467C2×#103C2311yescharacteristic
468C2×#103C2311yescharacteristic
469C2×#103C2311yescharacteristic
470C2×#103C2311yescharacteristic
471C2×#103C2311yescharacteristic
472C2×#103C2311yescharacteristic
473C2×#103C2311yescharacteristic
474C2×#103C2311yescharacteristic
475C2×#102C2311yescharacteristic
476C2×#102C2311yescharacteristic
477C2×#102C2311yescharacteristic
478C2×#102C2311yescharacteristic
479C2×#102C2311yescharacteristic
480C2×#102C2311yescharacteristic
481C2×#102C2311yescharacteristic
482C2×#102C2311yescharacteristic
483C2×#102C2311yescharacteristic
484C2×#102C2311yescharacteristic
485C2×#102C2311yescharacteristic
486C2×#102C2311yescharacteristic
487C2×#102C2311yescharacteristic
488C2×#102C2311yescharacteristic
489C2×#102C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C22⋊C8C2311yescharacteristic
492C2×C22⋊C8C2311yescharacteristic
493C2×C22⋊C8C2311yescharacteristic
494C2×C22⋊C8C2311yescharacteristic
495C2×C22⋊C8C2311yescharacteristic
496C2×C22⋊C8C2311yescharacteristic
497C2×C22⋊C8C2311yescharacteristic
498C2×C22⋊C8C2311yescharacteristic
499C2×C22⋊C8C2311yescharacteristic
500C2×C22⋊C8C2311yescharacteristic
501C2×C22⋊C8C2311yescharacteristic
502C2×#97C2311yescharacteristic
503C2×#97C2311yescharacteristic
504C2×#97C2311yescharacteristic
505C2×#97C2311yescharacteristic
506C2×C4×C8C2311yescharacteristic
507C2×C4×C8C2311yescharacteristic
508#399—21no—
509#399—21no—
510#399—21no—
511#399—21no—
512#399—21no—
513#399—21no—
514#399—21no—
515#399—21no—
516#399—21no—
517#399—21no—
518#399—21no—
519#399—21no—
520#392—21no—
521#392—21no—
522#392—21no—
523#392—21no—
524#392—21no—
525#392—21no—
526#392—21no—
527#392—21no—
528#392—21no—
529#392—21no—
530#392—21no—
531#392—21no—
532#390—21no—
533#390—21no—
534#390—21no—
535#390—21no—
536#390—21no—
537#390—21no—
538#390—21no—
539#390—21no—
540#390—21no—
541#390—21no—
542#390—21no—
543#390—21no—
544#390—21no—
545#390—21no—
546#390—21no—
547#390—21no—
548#390—21no—
549#390—21no—
550#390—21no—
551#390—21no—
552#390—21no—
553#390—21no—
554#390—21no—
555#390—21no—
556#390—21no—
557#390—21no—
558#390—21no—
559#390—21no—
560#390D411yescharacteristic
561#390D411yescharacteristic
562#390D411yescharacteristic
563#390D411yescharacteristic
564#390D411yescharacteristic
565#390D411yescharacteristic
566#384—21no—
567#384—21no—
568#384D411yescharacteristic
569C4×C4⋊C4—21no—
570C4×C4⋊C4—21no—
571C4×C4⋊C4—21no—
572C4×C4⋊C4C2311yescharacteristic
573C4×C4⋊C4C2311yescharacteristic
574C4×C4⋊C4C2311yescharacteristic
575C4×C4⋊C4C2311yescharacteristic
576C4×C4⋊C4C2311yescharacteristic
577C4×C4⋊C4C2311yescharacteristic
578C4×C22⋊C4—21no—
579C4×C22⋊C4—21no—
580C4×C22⋊C4—21no—
581C43—21no—
582C43C2311yescharacteristic
583#340C2311yescharacteristic
584#340C2311yescharacteristic
585#340C2311yescharacteristic
586#340C2311yescharacteristic
587#340C2311yescharacteristic
588#340C2311yescharacteristic
589C25—21no—
590C25—21no—
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—41no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41—41no—
615C22×Q8—21no—
616C22×Q8—21no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—22no—
622C22×Q8—22no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8C2411yescharacteristic
630C22×Q8C2411yescharacteristic
631C22×Q8C2411yescharacteristic
632C22×Q8C2411yescharacteristic
633C22×Q8C2411yescharacteristic
634C22×D4—22no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—22no—
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—21no—
661C22×D4—21no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—44no—
669C22×D4—44no—
670C22×D4—82no—
671C22×D4C2×D411yescharacteristic
672C22×D4C2×D411yescharacteristic
673C22×D4C2×D411yescharacteristic
674C22×D4C2×D411yescharacteristic
675C22×D4C2×D411yescharacteristic
676C22×D4C2×D411yescharacteristic
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C22×D4C2411yescharacteristic
681C22×D4C2411yescharacteristic
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695#137—416no—
696AGL(1,ℤ/8)—416no—
697#135—416no—
698C2×Q16—22no—
699C2×Q16—22no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
704C2×Q16—22no—
705C2×Q16—22no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—41no—
711C2×Q16—41no—
712C2×Q16—41no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×SD16—22no—
717C2×SD16—22no—
718C2×SD16—22no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—416no—
753C2×SD16C2×D414yes—
754C2×SD16C2×D414yes—
755C2×SD16C2×D414yes—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×M16—22no—
775C2×M16—22no—
776C2×M16—22no—
777C2×M16—22no—
778C2×M16—22no—
779C2×M16—22no—
780C22×C8—22no—
781C22×C8—22no—
782C22×C8—22no—
783C22×C8—22no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C4⋊Q8—22no—
795C4⋊Q8—22no—
796C4⋊Q8—22no—
797C4⋊Q8—22no—
798C4⋊Q8—44no—
799#127—22no—
800#127—22no—
801#127—22no—
802#127—22no—
803#127—44no—
804#127—42no—
805#127—44no—
806#127—82no—
807#124—22no—
808#124—22no—
809#124—22no—
810#124—22no—
811#124—22no—
812#124—22no—
813#124—22no—
814#124—22no—
815#124—22no—
816#124—22no—
817#124—22no—
818#124—22no—
819#124—22no—
820#124—22no—
821#124—22no—
822#124—22no—
823#124—44no—
824#124—44no—
825#124—44no—
826#124—44no—
827#123—44no—
828#123—44no—
829#123—44no—
830#123—44no—
831#123—44no—
832#123—44no—
833C22⋊Q8—22no—
834C22⋊Q8—22no—
835C22⋊Q8—22no—
836C22⋊Q8—22no—
837C22⋊Q8—22no—
838C22⋊Q8—22no—
839C22⋊Q8—22no—
840C22⋊Q8—22no—
841C22⋊Q8—22no—
842C22⋊Q8—22no—
843C22⋊Q8—22no—
844C22⋊Q8—22no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—41no—
852C22⋊Q8—41no—
853C22⋊Q8—41no—
854C22⋊Q8—41no—
855C22⋊Q8—41no—
856C22⋊Q8—41no—
857C22⋊Q8—41no—
858C22⋊Q8—41no—
859C22⋊Q8—41no—
860C22⋊Q8—41no—
861C22⋊Q8—41no—
862C22⋊Q8—41no—
863#121—22no—
864#121—22no—
865#121—22no—
866#121—22no—
867#121—22no—
868#121—22no—
869#121—22no—
870#121—22no—
871#121—22no—
872#121—22no—
873#121—22no—
874#121—22no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—41no—
882#121—41no—
883#121—41no—
884#121—41no—
885#121—41no—
886#121—41no—
887#121—41no—
888#121—41no—
889#121—41no—
890#121—41no—
891#121—41no—
892#121—41no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#120—44no—
900#120—44no—
901#120—44no—
902#120—44no—
903#120—44no—
904#120—44no—
905C4×Q8—22no—
906C4×Q8—22no—
907C4×Q8—22no—
908C4×Q8C2×D414yes—
909C4×Q8C2×D414yescomplemented
910C4×Q8C2×D414yescomplemented
911C4×D4—22no—
912C4×D4—22no—
913C4×D4—22no—
914C4×D4—22no—
915C4×D4—22no—
916C4×D4—22no—
917C4×D4—22no—
918C4×D4—22no—
919C4×D4—22no—
920C4×D4—22no—
921C4×D4—22no—
922C4×D4—22no—
923C4×D4—22no—
924C4×D4—22no—
925C4×D4—22no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4C2×D414yes—
933C4×D4C2×D414yes—
934C4×D4C2×D414yes—
935C2×C4⋊C4—21no—
936C2×C4⋊C4—21no—
937C2×C4⋊C4—21no—
938C2×C4⋊C4—21no—
939C2×C4⋊C4—21no—
940C2×C4⋊C4—21no—
941C2×C4⋊C4—21no—
942C2×C4⋊C4—21no—
943C2×C4⋊C4—21no—
944C2×C4⋊C4—21no—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—21no—
948C2×C4⋊C4—21no—
949C2×C4⋊C4—21no—
950C2×C4⋊C4—21no—
951C2×C4⋊C4—21no—
952C2×C4⋊C4—21no—
953C2×C4⋊C4—21no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4C2×D411yescharacteristic
956C2×C4⋊C4C2×D411yescharacteristic
957C2×C4⋊C4C2×D411yescharacteristic
958C2×C4⋊C4C2×D411yescharacteristic
959C2×C4⋊C4C2×D411yescharacteristic
960C2×C4⋊C4C2×D411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
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—21no—
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—21no—
993C2×C22⋊C4—21no—
994C2×C22⋊C4—21no—
995C2×C22⋊C4—21no—
996C2×C22⋊C4—21no—
997C2×C22⋊C4—21no—
998C2×C22⋊C4—21no—
999C2×C22⋊C4—21no—
1000C2×C22⋊C4—21no—
1001C2×C22⋊C4—21no—
1002C2×C22⋊C4—21no—
1003C2×C22⋊C4—21no—
1004C2×C22⋊C4—21no—
1005C2×C22⋊C4—21no—
1006C2×C22⋊C4—21no—
1007C2×C22⋊C4—21no—
1008C2×C22⋊C4—21no—
1009C2×C22⋊C4—21no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4C2×D411yescharacteristic
1015C2×C22⋊C4C2×D411yescharacteristic
1016C2×C22⋊C4C2×D411yescharacteristic
1017C2×C22⋊C4C2×D411yescharacteristic
1018C2×C22⋊C4C2×D411yescharacteristic
1019C2×C22⋊C4C2×D411yescharacteristic
1020C2×C22⋊C4C2×D411yescharacteristic
1021C2×C22⋊C4C2×D411yescharacteristic
1022C2×C22⋊C4C2×D411yescharacteristic
1023C2×C22⋊C4C2×D411yescharacteristic
1024C2×C22⋊C4C2×D411yescharacteristic
1025C2×C22⋊C4C2×D411yescharacteristic
1026C2×C42—21no—
1027C2×C42—21no—
1028C2×C42—21no—
1029C2×C42—21no—
1030C2×C42—21no—
1031C2×C42—21no—
1032C2×C42—21no—
1033C2×C42—21no—
1034C2×C42—21no—
1035C2×C42—82no—
1036C2×C42C2×D411yescharacteristic
1037C2×C42C2×D411yescharacteristic
1038C2×C42C2×D411yescharacteristic
1039C2×C42C2×D411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043#107C2×D414yes—
1044#107C2×D414yescomplemented
1045#106C2×D414yescomplemented
1046C4⋊C8—22no—
1047C4⋊C8—22no—
1048C4⋊C8—22no—
1049C4⋊C8—22no—
1050C4⋊C8—22no—
1051C4⋊C8—22no—
1052#103—22no—
1053#103—22no—
1054#103—22no—
1055#103—22no—
1056#103—22no—
1057#103—22no—
1058#103—22no—
1059#103—22no—
1060#103—22no—
1061#103—22no—
1062#103—22no—
1063#103—22no—
1064#103C2×D414yes—
1065#103C2×D414yescomplemented
1066#103C2×D414yescomplemented
1067#102—22no—
1068#102—22no—
1069#102—22no—
1070#102—22no—
1071#102—22no—
1072#102—22no—
1073#102—22no—
1074#102—22no—
1075#102—22no—
1076#102—22no—
1077#102—22no—
1078#102—22no—
1079#102C2×D414yes—
1080#102C2×D414yes—
1081#102C2×D414yes—
1082C22⋊C8—22no—
1083C22⋊C8—22no—
1084C22⋊C8—22no—
1085C22⋊C8—22no—
1086C22⋊C8—22no—
1087C22⋊C8—22no—
1088C22⋊C8—22no—
1089C22⋊C8—22no—
1090C22⋊C8—22no—
1091C22⋊C8—22no—
1092C22⋊C8—22no—
1093C22⋊C8—22no—
1094#97—22no—
1095#97—22no—
1096#97C2×D414yes—
1097#97C2×D414yescomplemented
1098C4×C8—22no—
1099C4×C8C2×D414yescomplemented
1100#95—21no—
1101#95—21no—
1102#95—21no—
1103#95—21no—
1104#95—21no—
1105#95—21no—
1106C24—21no—
1107C24—21no—
1108C24—21no—
1109C24—21no—
1110C24—21no—
1111C24—42no—
1112C24—42no—
1113C24—42no—
1114C24—42no—
1115C24—42no—
1116C24—42no—
1117C24—42no—
1118C24—42no—
1119C24—81no—
1120C24—81no—
1121C24—81no—
1122C24—81no—
1123C24—81no—
1124C24—81no—
1125C24C22×D411yescharacteristic
1126C24C22×D411yescharacteristic
1127C24C22×D411yescharacteristic
1128C24C22×D411yescharacteristic
1129#41—44no—
1130#41—44no—
1131#41—44no—
1132#41—44no—
1133#41—82no—
1134#41—82no—
1135#41—82no—
1136#41—82no—
1137#41—82no—
1138#41—82no—
1139#41—82no—
1140#41—82no—
1141#41—82no—
1142#41—82no—
1143#41—82no—
1144#41—82no—
1145C2×Q8—21no—
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—21no—
1165C2×Q8—21no—
1166C2×Q8—21no—
1167C2×Q8—21no—
1168C2×Q8—21no—
1169C2×Q8—21no—
1170C2×Q8—21no—
1171C2×Q8—21no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—82no—
1181C2×Q8—82no—
1182C2×Q8—82no—
1183C2×Q8—82no—
1184C2×Q8—82no—
1185C2×Q8—82no—
1186C2×Q8C22×D412yes—
1187C2×Q8C22×D412yes—
1188C2×Q8C22×D412yes—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—21no—
1199C2×D4—21no—
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—21no—
1203C2×D4—21no—
1204C2×D4—21no—
1205C2×D4—21no—
1206C2×D4—21no—
1207C2×D4—21no—
1208C2×D4—21no—
1209C2×D4—21no—
1210C2×D4—21no—
1211C2×D4—21no—
1212C2×D4—21no—
1213C2×D4—21no—
1214C2×D4—21no—
1215C2×D4—21no—
1216C2×D4—21no—
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—41no—
1233C2×D4—41no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
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—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—82no—
1287C2×D4—82no—
1288C2×D4—82no—
1289C2×D4—82no—
1290C2×D4—816no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—81no—
1299C2×D4—81no—
1300C2×D4—81no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—81no—
1307C2×D4—81no—
1308C2×D4—81no—
1309C2×D4C22×D412yes—
1310C2×D4C22×D412yes—
1311C2×D4C22×D412yes—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—24no—
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—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—81no—
1371C22×C4—81no—
1372C22×C4—81no—
1373C22×C4—81no—
1374C22×C4C22×D411yescharacteristic
1375C22×C4C22×D411yescharacteristic
1376C22×C4C22×D411yescharacteristic
1377C22×C4C22×D411yescharacteristic
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D411yescharacteristic
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D411yescharacteristic
1382C22×C4C22×D411yescharacteristic
1383C22×C4C22×D411yescharacteristic
1384C22×C4C2511yescharacteristic
1385Q16—44no—
1386Q16—44no—
1387Q16—44no—
1388Q16—82no—
1389Q16—82no—
1390Q16—82no—
1391SD16—44no—
1392SD16—44no—
1393SD16—44no—
1394SD16—44no—
1395SD16—44no—
1396SD16—44no—
1397SD16—82no—
1398SD16—82no—
1399SD16—82no—
1400SD16—82no—
1401SD16—82no—
1402SD16—82no—
1403SD16#127116yescomplemented
1404D8—44no—
1405D8—44no—
1406D8—44no—
1407D8—82no—
1408D8—82no—
1409D8—82no—
1410M16—44no—
1411M16—44no—
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—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—44no—
1431C2×C8—44no—
1432C2×C8C22×D412yes—
1433C2×C8C22×D412yes—
1434C2×C8C22×D412yes—
1435C2×C8C22×D412yes—
1436C2×C8C22×D412yes—
1437C2×C8C22×D412yes—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4C22×D412yes—
1470C4⋊C4C22×D412yes—
1471C4⋊C4C22×D412yes—
1472C4⋊C4C22×D412yes—
1473C4⋊C4C22×D412yes—
1474C4⋊C4C22×D412yes—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
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—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—42no—
1538C42—42no—
1539C42—81no—
1540C42—81no—
1541C42—81no—
1542C42—81no—
1543C42C22×D412yes—
1544C42C22×D412yes—
1545C42C22×D412yes—
1546C42H(5,𝔽2)12yes—
1547C42H(5,𝔽2)12yes—
1548C42H(5,𝔽2)12yes—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
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—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—162no—
1620C23—162no—
1621C23—162no—
1622C23—162no—
1623C23—162no—
1624C23—162no—
1625C23#57512yes—
1626C23C23×D411yescharacteristic
1627Q8—22no—
1628Q8—22no—
1629Q8—22no—
1630Q8—41no—
1631Q8—41no—
1632Q8—41no—
1633Q8—41no—
1634Q8—41no—
1635Q8—41no—
1636Q8—41no—
1637Q8—41no—
1638Q8—41no—
1639Q8—41no—
1640Q8—41no—
1641Q8—41no—
1642Q8—41no—
1643Q8—41no—
1644Q8—41no—
1645Q8—41no—
1646Q8—84no—
1647Q8—84no—
1648Q8C2×#12714yes—
1649D4—22no—
1650D4—22no—
1651D4—22no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—41no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—41no—
1671D4—82no—
1672D4—82no—
1673D4—82no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—162no—
1689D4—162no—
1690D4—162no—
1691D4—162no—
1692D4—162no—
1693D4—162no—
1694D4—162no—
1695D4—162no—
1696D4C2×#12714yes—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—48no—
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—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4D4212yes—
1780C2×C4D4212yes—
1781C2×C4D4212yes—
1782C2×C4D4212yes—
1783C2×C4D4212yes—
1784C2×C4D4212yes—
1785C2×C4C23×D411yescharacteristic
1786C2×C4C23×D411yescharacteristic
1787C2×C4C23×D411yescharacteristic
1788C2×C4C2×H(5,𝔽2)11yescharacteristic
1789C2×C4C2×H(5,𝔽2)11yescharacteristic
1790C2×C4C2×H(5,𝔽2)11yescharacteristic
1791C8—22no—
1792C8—22no—
1793C8—22no—
1794C8—41no—
1795C8—41no—
1796C8—41no—
1797C8—41no—
1798C8C2×#12714yes—
1799C22—24no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
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—168no—
1863C22—168no—
1864C22C2×D4211yescharacteristic
1865C22C2×D4211yescharacteristic
1866C22C2×D4211yescharacteristic
1867C22C2×#57511yescharacteristic
1868C22#358411yescharacteristic
1869C22#358511yescharacteristic
1870C22#358611yescharacteristic
1871C4—24no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4—42no—
1888C4—81no—
1889C4—81no—
1890C4—81no—
1891C4—81no—
1892C4C22×#12711yescharacteristic
1893C4#349811yescharacteristic
1894C4#349811yescharacteristic
1895C4#349811yescharacteristic
1896C2—42no—
1897C2—44no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—161no—
1902C2—161no—
1903C2—161no—
1904C2—161no—
1905C2D4×#12711yescharacteristic
1906C2#6103011yescharacteristic
1907C2#6106611yescharacteristic
1908C2#6106811yescharacteristic
1909C2#6108011yescharacteristic
1910C2#6109211yescharacteristic
1911C2#6109611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3282C2semidirect
2. C2×#3275C2semidirect
3. C2×#3269C2semidirect
4. C2×#3268C2semidirect
5. C2×#3266C2semidirect
6. C2×#3265C2semidirect
7. #36465C2semidirect
8. #36260C2semidirect
9. #33306C2semidirect
10. #33165C2semidirect
11. #33164C2semidirect
12. #28493C2semidirect
13. #28493C2semidirect
14. #28492C2semidirect
15. #28492C2semidirect
16. #28491C2semidirect
17. #28484C2semidirect
18. #25770C2semidirect
19. #25769C2semidirect
20. #25768C2semidirect
21. #25767C2semidirect
22. #25766C2semidirect
23. #25765C2semidirect
24. #25764C2semidirect
25. #25763C2semidirect
26. #25762C2semidirect
27. #25762C2semidirect
28. #25761C2semidirect
29. #25761C2semidirect
30. #21682C2semidirect
31. C4×#440C2semidirect
36. C2×#550C22semidirect
37. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#548C22semidirect
41. C2×#548C22semidirect
54. C2×#497C22semidirect
55. C2×#497C22semidirect
56. C2×#497C22semidirect
57. C2×#497C22semidirect
60. C2×#496C22semidirect
61. C2×#496C22semidirect
62. C2×#495C22semidirect
63. C2×#495C22semidirect
64. C2×#495C22semidirect
65. C2×#495C22semidirect
66. C2×#470C22semidirect
67. C2×#469C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#468C22semidirect
72. C2×#467C22semidirect
73. C2×#467C22semidirect
75. C2×#466C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#464C22semidirect
79. C2×#464C22semidirect
80. C2×#464C22semidirect
81. C2×#464C22semidirect
82. C2×#462C22semidirect
93. C2×#452C22semidirect
94. C2×#452C22semidirect
95. C2×#452C22semidirect
100. C2×#449C22semidirect
101. C2×#449C22semidirect
102. C2×#451C22semidirect
103. C2×#451C22semidirect
104. C2×#451C22semidirect
106. C2×#448C22semidirect
107. C2×#448C22semidirect
117. C2×#436C22semidirect
119. C2×#435C22semidirect
120. C2×#435C22semidirect
121. C2×#435C22semidirect
122. C2×C8×D4C22semidirect
125. #2858C22semidirect
129. #2542C22semidirect
132. #2541C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
154. C42×Q8C22semidirect
156. #2001C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
160. #2001C22semidirect
161. #2001C22semidirect
164. #2000C22semidirect
165. #2000C22semidirect
166. #2000C22semidirect
167. #2000C22semidirect
168. #2000C22semidirect
169. #2000C22semidirect
170. #2000C22semidirect
171. #2000C22semidirect
172. #2000C22semidirect
173. #2000C22semidirect
176. #1999C22semidirect
177. #1999C22semidirect
178. #1999C22semidirect
179. #1999C22semidirect
180. #1983C22semidirect
181. #1983C22semidirect
182. #1983C22semidirect
183. #1983C22semidirect
184. #1983C22semidirect
185. #1983C22semidirect
186. #1983C22semidirect
187. #1983C22semidirect
189. #1982C22semidirect
190. #1981C22semidirect
191. #1981C22semidirect
193. #1955C22semidirect
194. #1955C22semidirect
195. #1955C22semidirect
196. #1954C22semidirect
197. #1954C22semidirect
198. #1842C22semidirect
199. #1776C22semidirect
200. #1776C22semidirect
201. C4×#107C22semidirect
202. #1763C22semidirect
203. #1763C22semidirect
206. C4×#103C22semidirect
208. C4×#97C22semidirect
442. #440D4semidirect
443. #440D4semidirect
444. C4×SD16D4semidirect
909. C4×Q8C2×D4semidirect
910. C4×Q8C2×D4semidirect
1044. #107C2×D4semidirect
1045. #106C2×D4semidirect
1065. #103C2×D4semidirect
1066. #103C2×D4semidirect
1097. #97C2×D4semidirect
1099. C4×C8C2×D4semidirect
1403. SD16#127semidirect

Maximal subgroups

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

subgroupindex
C2×#32822
C2×#32752
C2×#32692
C2×#32682
C2×#32662
C2×#32652
#364652
#362602
#333062
#331652
#331642
#284932
#284922
#284912
#284842
#257702
#257692
#257682
#257672
#257662
#257652
#257642
#257632
#257622
#257612
#216822
C4×#4402