Finite Group Databasebeta

← #1418400

Subgroups — #1418400

Order 512.

5944 conjugacy classes of subgroups.

The subgroup lattice has 2202 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#548C211yesmaximal, characteristic, complemented
2C2×#2404C211yesmaximal, characteristic, complemented
3C2×#2409C211yesmaximal, characteristic, complemented
4C2×#2472C211yesmaximal, characteristic, complemented
5C2×#2424C211yesmaximal, characteristic, complemented
6C2×#2437C211yesmaximal, characteristic, complemented
7#15951C211yesmaximal, characteristic, complemented
8#15325C211yesmaximal, characteristic, complemented
9#15323C211yesmaximal, characteristic, complemented
10#15317C211yesmaximal, characteristic, complemented
11#15315C211yesmaximal, characteristic, complemented
12#15311C211yesmaximal, characteristic, complemented
13#15280C211yesmaximal, characteristic, complemented
14#15274C211yesmaximal, characteristic, complemented
15#15264C211yesmaximal, characteristic, complemented
16#15263C211yesmaximal, characteristic, complemented
17#15259C211yesmaximal, characteristic, complemented
18#15257C211yesmaximal, characteristic, complemented
19#14889C211yesmaximal, characteristic, complemented
20#14877C211yesmaximal, characteristic, complemented
21#14873C211yesmaximal, characteristic, complemented
22#14796C211yesmaximal, characteristic, complemented
23#14732C211yesmaximal, characteristic, complemented
24#14731C211yesmaximal, characteristic, complemented
25#14421C211yesmaximal, characteristic, complemented
26#14364C211yesmaximal, characteristic, complemented
27#14361C211yesmaximal, characteristic, complemented
28#14172C211yesmaximal, characteristic, complemented
29#14171C211yesmaximal, characteristic, complemented
30#13970C211yesmaximal, characteristic, complemented
31#13967C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C24×Q8C2211yescharacteristic, complemented
34C2×#548—28no—
35C2×#548—28no—
36C2×#548—28no—
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#124C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic, complemented
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×C4×Q8C2211yescharacteristic, complemented
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic, complemented
56C22×C4×D4C2211yescharacteristic, complemented
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59#2472—28no—
60#2437—28no—
61#2424—28no—
62#2409—28no—
63#2404—28no—
64C2×#399C2211yescharacteristic
65C2×#397C2211yescharacteristic
66C2×#396C2211yescharacteristic
67C2×#396C2211yescharacteristic
68C2×#396C2211yescharacteristic
69C2×#395C2211yescharacteristic, complemented
70C2×#395C2211yescharacteristic, complemented
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic
74C2×#394C2211yescharacteristic
75C2×#394C2211yescharacteristic, complemented
76C2×#394C2211yescharacteristic, complemented
77C2×#393C2211yescharacteristic
78C2×#393C2211yescharacteristic
79C2×#393C2211yescharacteristic
80C2×#393C2211yescharacteristic
81C2×#393C2211yescharacteristic
82C2×#393C2211yescharacteristic
83C2×#392C2211yescharacteristic
84C2×#392C2211yescharacteristic
85C2×#392C2211yescharacteristic
86C2×#392C2211yescharacteristic
87C2×#392C2211yescharacteristic
88C2×#391C2211yescharacteristic, complemented
89C2×#391C2211yescharacteristic, complemented
90C2×#390C2211yescharacteristic
91C2×#390C2211yescharacteristic
92C2×#390C2211yescharacteristic, complemented
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic
103C2×#386C2211yescharacteristic
104C2×#386C2211yescharacteristic
105C2×#386C2211yescharacteristic
106C2×#386C2211yescharacteristic
107C2×#386C2211yescharacteristic
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#385C2211yescharacteristic
112C2×#385C2211yescharacteristic
113C2×#385C2211yescharacteristic
114C2×#385C2211yescharacteristic
115C2×#385C2211yescharacteristic
116C2×#385C2211yescharacteristic, complemented
117C2×#385C2211yescharacteristic, complemented
118C2×#385C2211yescharacteristic, complemented
119C2×#385C2211yescharacteristic, complemented
120C2×#381C2211yescharacteristic
121C2×#380C2211yescharacteristic
122C2×#380C2211yescharacteristic
123C2×#380C2211yescharacteristic, complemented
124C2×#379C2211yescharacteristic
125C2×#379C2211yescharacteristic
126C2×C4×C22⋊C4C2211yescharacteristic
127#1446C2211yescharacteristic, complemented
128#1446C2211yescharacteristic, complemented
129#1446C2211yescharacteristic, complemented
130#1446C2211yescharacteristic, complemented
131#1445C2211yescharacteristic, complemented
132#1444C2211yescharacteristic, complemented
133#1444C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic, complemented
143#1440C2211yescharacteristic, complemented
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1438C2211yescharacteristic, complemented
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic
177#1437C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C22⋊#95C2211yescharacteristic, complemented
194C22⋊#95C2211yescharacteristic, complemented
195C26C2311yescharacteristic
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—24no—
200C22×#41—42no—
201C22×#41—42no—
202C22×#41—42no—
203C23×Q8—24no—
204C23×Q8—24no—
205C23×Q8—24no—
206C23×Q8—24no—
207C23×Q8—42no—
208C23×Q8—42no—
209C23×Q8—42no—
210C23×Q8C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235#548—2128no—
236C2×#124—24no—
237C2×#124—24no—
238C2×#124—24no—
239C2×#124—24no—
240C2×#124—24no—
241C2×#124—24no—
242C2×#124—24no—
243C2×#124—24no—
244C2×#124D418yescomplemented
245C2×C22⋊Q8—24no—
246C2×C22⋊Q8—24no—
247C2×C22⋊Q8—24no—
248C2×C22⋊Q8—24no—
249C2×C22⋊Q8—24no—
250C2×C22⋊Q8—24no—
251C2×C22⋊Q8—24no—
252C2×C22⋊Q8—24no—
253C2×C22⋊Q8—24no—
254C2×C22⋊Q8—24no—
255C2×C22⋊Q8—24no—
256C2×C22⋊Q8—24no—
257C2×C22⋊Q8—42no—
258C2×C22⋊Q8—42no—
259C2×C22⋊Q8D418yescomplemented
260C2×#121—24no—
261C2×#121—24no—
262C2×#121—24no—
263C2×#121—24no—
264C2×#121—24no—
265C2×#121—24no—
266C2×#121—24no—
267C2×#121—24no—
268C2×#121—24no—
269C2×#121—24no—
270C2×#121—42no—
271C2×#121D418yescomplemented
272C2×#120—24no—
273C2×#120—24no—
274C2×#120—24no—
275C2×#120—24no—
276C2×#120—24no—
277C2×#120—24no—
278C2×#120—42no—
279C2×#120—42no—
280C2×#120—42no—
281C2×C4×Q8—24no—
282C2×C4×Q8—24no—
283C2×C4×Q8—24no—
284C2×C4×D4—24no—
285C2×C4×D4—24no—
286C2×C4×D4—24no—
287C2×C4×D4—24no—
288C2×C4×D4—24no—
289C2×C4×D4—24no—
290C2×C4×D4—24no—
291C2×C4×D4—24no—
292C2×C4×D4—24no—
293C2×C4×D4—24no—
294C2×C4×D4—24no—
295C2×C4×D4—42no—
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—24no—
315C22×C22⋊C4—24no—
316C22×C22⋊C4—24no—
317C22×C22⋊C4—24no—
318C22×C22⋊C4—24no—
319C22×C22⋊C4—42no—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#399—24no—
380#397—24no—
381#396—24no—
382#396—24no—
383#396—24no—
384#395—24no—
385#395—24no—
386#394—24no—
387#394—24no—
388#394—24no—
389#394—24no—
390#394—42no—
391#394—42no—
392#393—24no—
393#393—24no—
394#393—24no—
395#393—24no—
396#393—42no—
397#393D418yescomplemented
398#392—24no—
399#392—24no—
400#392—24no—
401#392—24no—
402#392—42no—
403#391—24no—
404#391—24no—
405#390—24no—
406#390—24no—
407#390—42no—
408#388—24no—
409#388—24no—
410#388—24no—
411#386—24no—
412#386—24no—
413#386—24no—
414#386—24no—
415#386—24no—
416#386—24no—
417#386—24no—
418#386—24no—
419#386—24no—
420#386—24no—
421#386—24no—
422#386—24no—
423#386—42no—
424#386—42no—
425#386—42no—
426#385—24no—
427#385—24no—
428#385—24no—
429#385—24no—
430#385—24no—
431#385—24no—
432#385—24no—
433#385—42no—
434#385—42no—
435#381—24no—
436#380—24no—
437#380—24no—
438#380—24no—
439#379—24no—
440#379—24no—
441C4×C22⋊C4—24no—
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C2×#95C2311yescharacteristic
472C2×#95C2311yescharacteristic
473C2×#95C2311yescharacteristic
474C2×#95C2311yescharacteristic
475C2×#95C2311yescharacteristic
476C2×#95C2311yescharacteristic
477C2×#95C2311yescharacteristic
478C2×#95C2311yescharacteristic
479C2×#95C2311yescharacteristic
480C2×#95C2311yescharacteristic
481C2×#95C2311yescharacteristic
482C2×#95C2311yescharacteristic
483C2×#95C2311yescharacteristic
484C2×#95C2311yescharacteristic
485C2×#95C2311yescharacteristic
486C2×#95C2311yescharacteristic
487C2×#95C2311yescharacteristic
488C2×#95C2311yescharacteristic
489C2×#95C2311yescharacteristic
490C2×#95C2311yescharacteristic
491C2×#95C2311yescharacteristic
492C2×#95C2311yescharacteristic
493C2×#95C2311yescharacteristic
494C25—22no—
495C25—22no—
496C25—22no—
497C25—22no—
498C25—22no—
499C25—22no—
500C25—22no—
501C25—41no—
502C25—41no—
503C25—41no—
504C25—41no—
505C25—41no—
506C25—41no—
507C25—41no—
508C25—41no—
509C25C2411yescharacteristic
510C25C2411yescharacteristic
511C25C2411yescharacteristic
512C25C2411yescharacteristic
513C25C2411yescharacteristic
514C25C2411yescharacteristic
515C2×#41—232no—
516C2×#41—416no—
517C2×#41—416no—
518C2×#41—416no—
519C2×#41—416no—
520C2×#41—416no—
521C2×#41—416no—
522C22×Q8—232no—
523C22×Q8—22no—
524C22×Q8—22no—
525C22×Q8—22no—
526C22×Q8—22no—
527C22×Q8—22no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—22no—
531C22×Q8—22no—
532C22×Q8—22no—
533C22×Q8—22no—
534C22×Q8—22no—
535C22×Q8—22no—
536C22×Q8—22no—
537C22×Q8—22no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—22no—
541C22×Q8—22no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—416no—
549C22×Q8—416no—
550C22×Q8—416no—
551C22×Q8—416no—
552C22×Q8—416no—
553C22×Q8—416no—
554C22×Q8C2×D414yes—
555C22×Q8C2×D414yes—
556C22×Q8C2×D414yes—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4C2×D414yes—
637C22×D4C2×D414yes—
638C22×D4C2×D414yes—
639C22×D4C2×D414yes—
640C22×D4#4114yescomplemented
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—22no—
651C23×C4—22no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—22no—
656C23×C4—22no—
657C23×C4—22no—
658C23×C4—22no—
659C23×C4—22no—
660C23×C4—22no—
661C23×C4—22no—
662C23×C4—22no—
663C23×C4—22no—
664C23×C4—22no—
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—22no—
668C23×C4—22no—
669C23×C4—22no—
670C23×C4—22no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—22no—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—22no—
678C23×C4—22no—
679C23×C4—41no—
680C23×C4—41no—
681C23×C4—41no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—41no—
688C23×C4—41no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4—41no—
692C23×C4—41no—
693C23×C4—41no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—41no—
697C23×C4—41no—
698C23×C4—41no—
699C23×C4—41no—
700C23×C4—41no—
701C23×C4—41no—
702C23×C4C2×D414yes—
703C23×C4C2×D414yes—
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729#124—232no—
730#124—232no—
731#124—232no—
732C22⋊Q8—232no—
733C22⋊Q8—232no—
734C22⋊Q8—232no—
735C22⋊Q8—416no—
736C22⋊Q8—416no—
737#121—232no—
738#121—232no—
739#121—232no—
740#121—416no—
741#120—416no—
742#120—416no—
743#120—416no—
744C4×Q8—232no—
745C4×D4—232no—
746C4×D4—232no—
747C4×D4—232no—
748C4×D4—416no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—22no—
772C2×C4⋊C4—22no—
773C2×C4⋊C4—22no—
774C2×C4⋊C4—22no—
775C2×C4⋊C4—22no—
776C2×C4⋊C4—22no—
777C2×C4⋊C4—22no—
778C2×C4⋊C4—22no—
779C2×C4⋊C4—22no—
780C2×C4⋊C4—22no—
781C2×C4⋊C4—22no—
782C2×C4⋊C4—22no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—22no—
785C2×C4⋊C4—22no—
786C2×C4⋊C4—41no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4—41no—
789C2×C4⋊C4—41no—
790C2×C4⋊C4—41no—
791C2×C4⋊C4—41no—
792C2×C4⋊C4—41no—
793C2×C4⋊C4—41no—
794C2×C4⋊C4—41no—
795C2×C4⋊C4—41no—
796C2×C4⋊C4—41no—
797C2×C4⋊C4—41no—
798C2×C4⋊C4—41no—
799C2×C4⋊C4C2×D414yes—
800C2×C4⋊C4C2×D414yes—
801C2×C4⋊C4C2×D414yes—
802C2×C4⋊C4C2×D414yes—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—416no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C22⋊C4—416no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4—41no—
952C2×C22⋊C4—41no—
953C2×C22⋊C4—41no—
954C2×C22⋊C4—41no—
955C2×C22⋊C4—41no—
956C2×C22⋊C4C2×D414yes—
957C2×C22⋊C4C2×D414yes—
958C2×C22⋊C4C2×D414yes—
959C2×C22⋊C4C2×D414yes—
960C2×C22⋊C4C2×D414yes—
961C2×C22⋊C4C2×D414yes—
962C2×C22⋊C4C2×D414yes—
963C2×C22⋊C4C2×D414yes—
964C2×C22⋊C4C2×D414yes—
965C2×C22⋊C4C2×D414yes—
966C2×C22⋊C4C2×D414yes—
967C2×C42—22no—
968C2×C42—22no—
969C2×C42—22no—
970C2×C42—22no—
971C2×C42—22no—
972C2×C42—22no—
973C2×C42—22no—
974C2×C42—22no—
975C2×C42—22no—
976C2×C42—22no—
977C2×C42—22no—
978C2×C42—41no—
979C2×C42—41no—
980C2×C42—41no—
981C2×C42C2×D414yes—
982#95—22no—
983#95—22no—
984#95—22no—
985#95—22no—
986#95—22no—
987#95—22no—
988#95—22no—
989#95—22no—
990#95—22no—
991#95—22no—
992#95—22no—
993#95—22no—
994#95—22no—
995#95—22no—
996#95—22no—
997#95—22no—
998#95—22no—
999#95—22no—
1000#95—22no—
1001#95—22no—
1002#95—22no—
1003#95—22no—
1004#95—22no—
1005#95—22no—
1006#95—22no—
1007#95—22no—
1008#95—22no—
1009#95—22no—
1010#95—22no—
1011#95—22no—
1012#95—22no—
1013#95—22no—
1014#95—41no—
1015#95—41no—
1016#95—41no—
1017#95—41no—
1018#95—41no—
1019#95—41no—
1020#95—41no—
1021#95—41no—
1022#95—41no—
1023#95—41no—
1024#95—41no—
1025#95—41no—
1026#95—41no—
1027#95—41no—
1028#95—41no—
1029#95—41no—
1030#95—41no—
1031#95C2×D414yes—
1032#95C2×D414yes—
1033#95C2×D414yes—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—28no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—21no—
1087C24—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—21no—
1093C24—21no—
1094C24—21no—
1095C24—21no—
1096C24—21no—
1097C24—21no—
1098C24—21no—
1099C24—21no—
1100C24—21no—
1101C24—21no—
1102C24—21no—
1103C24—21no—
1104C24—21no—
1105C24—21no—
1106C24—21no—
1107C24—21no—
1108C24—21no—
1109C24—21no—
1110C24—21no—
1111C24—21no—
1112C24—21no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—82no—
1130C24—82no—
1131C24—82no—
1132C24—82no—
1133C24—82no—
1134C24—82no—
1135C24—82no—
1136C24—82no—
1137C24—82no—
1138C24—82no—
1139C24—82no—
1140C24—82no—
1141C24—82no—
1142C24—82no—
1143C24—82no—
1144C24—82no—
1145C24—82no—
1146C24—82no—
1147C24C22×D412yes—
1148C24C22×D412yes—
1149C24C22×D412yes—
1150C24C22×D412yes—
1151C24C22×D412yes—
1152C24C22×D412yes—
1153C24C22×D412yes—
1154C24C2×#4112yes—
1155C24C2×#4112yes—
1156C24H(5,𝔽2)12yes—
1157C242−1+412yes—
1158C242−1+412yes—
1159C24C2511yescharacteristic
1160#41—4128no—
1161C2×Q8—28no—
1162C2×Q8—28no—
1163C2×Q8—28no—
1164C2×Q8—28no—
1165C2×Q8—28no—
1166C2×Q8—28no—
1167C2×Q8—28no—
1168C2×Q8—28no—
1169C2×Q8—28no—
1170C2×Q8—28no—
1171C2×Q8—28no—
1172C2×Q8—28no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—4128no—
1189C2×Q8—44no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—82no—
1258C2×D4—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—82no—
1266C2×D4—82no—
1267C2×D4—82no—
1268C2×D4—82no—
1269C2×D4—82no—
1270C2×D4—82no—
1271C2×D4—82no—
1272C2×D4—82no—
1273C2×D4—82no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
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—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—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
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—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
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—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—82no—
1477C22×C4—82no—
1478C22×C4—82no—
1479C22×C4—82no—
1480C22×C4—82no—
1481C22×C4—82no—
1482C22×C4—82no—
1483C22×C4—82no—
1484C22×C4—82no—
1485C22×C4—82no—
1486C22×C4—82no—
1487C22×C4C22×D412yes—
1488C22×C4C22×D412yes—
1489C22×C4C22×D412yes—
1490C22×C4C22×D412yes—
1491C22×C4C22×D412yes—
1492C22×C4C22×D412yes—
1493C22×C4C22×D412yes—
1494C22×C4C22×D412yes—
1495C22×C4C22×D412yes—
1496C22×C4C22×D412yes—
1497C22×C4C22×D412yes—
1498C22×C4C22×D412yes—
1499C22×C4C22×D412yes—
1500C22×C4C22×D412yes—
1501C22×C4C22×D412yes—
1502C22×C4C22×D412yes—
1503C22×C4C22×D412yes—
1504C22×C4C22×D412yes—
1505C22×C4C22×D412yes—
1506C22×C4C22×D412yes—
1507C22×C4C22×D412yes—
1508C22×C4C2×#4112yes—
1509C22×C4H(5,𝔽2)12yes—
1510C22×C4H(5,𝔽2)12yes—
1511C22×C4H(5,𝔽2)12yes—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—82no—
1527C4⋊C4—82no—
1528C4⋊C4—82no—
1529C4⋊C4—82no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—82no—
1569C22⋊C4—82no—
1570C22⋊C4—82no—
1571C22⋊C4—82no—
1572C22⋊C4—82no—
1573C22⋊C4—82no—
1574C22⋊C4—82no—
1575C22⋊C4—82no—
1576C22⋊C4—82no—
1577C22⋊C4—82no—
1578C22⋊C4—82no—
1579C22⋊C4—82no—
1580C22⋊C4—82no—
1581C22⋊C4—82no—
1582C22⋊C4—82no—
1583C22⋊C4#120116yes—
1584C42—28no—
1585C42—28no—
1586C42—28no—
1587C42—44no—
1588C42—82no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—416no—
1665C23—416no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
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—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—41no—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—41no—
1796C23—41no—
1797C23—41no—
1798C23—88no—
1799C23—88no—
1800C23—88no—
1801C23—88no—
1802C23—88no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23—88no—
1807C23—88no—
1808C23—88no—
1809C23—88no—
1810C23—88no—
1811C23C2×#12014yes—
1812C23#54614yes—
1813C23#54814yescomplemented
1814C23C23×D411yescharacteristic
1815C23C23×D411yescharacteristic
1816C23C23×D411yescharacteristic
1817C23C23×D411yescharacteristic
1818C23C22×#4111yescharacteristic
1819C23C2×H(5,𝔽2)11yescharacteristic
1820C23C2×H(5,𝔽2)11yescharacteristic
1821C23C2×H(5,𝔽2)11yescharacteristic
1822C23C2×H(5,𝔽2)11yescharacteristic
1823C23C2×2−1+411yescharacteristic
1824C23C2×2−1+411yescharacteristic
1825C23#58511yescharacteristic
1826C23#58511yescharacteristic
1827C23#58511yescharacteristic
1828C23#58511yescharacteristic
1829Q8—232no—
1830Q8—416no—
1831Q8—416no—
1832Q8—416no—
1833D4—416no—
1834D4—416no—
1835D4—416no—
1836D4—416no—
1837D4—416no—
1838D4—416no—
1839D4—416no—
1840D4—88no—
1841D4—88no—
1842D4—88no—
1843D4—88no—
1844D4—88no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—416no—
1906C2×C4—416no—
1907C2×C4—416no—
1908C2×C4—416no—
1909C2×C4—416no—
1910C2×C4—416no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—88no—
2022C2×C4—88no—
2023C2×C4—88no—
2024C2×C4C2×#12014yes—
2025C2×C4C2×#12014yes—
2026C2×C4D4214yes—
2027C2×C4D4214yes—
2028C2×C4D4214yes—
2029C22—24no—
2030C22—24no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—24no—
2036C22—24no—
2037C22—24no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—832no—
2096C22—81no—
2097C22—81no—
2098C22—81no—
2099C22—81no—
2100C22—81no—
2101C22—81no—
2102C22—81no—
2103C22—81no—
2104C22—81no—
2105C22—81no—
2106C22—81no—
2107C22—81no—
2108C22—81no—
2109C22—81no—
2110C22—81no—
2111C22—81no—
2112C22—81no—
2113C22—81no—
2114C22—81no—
2115C22—81no—
2116C22—81no—
2117C22—81no—
2118C22—81no—
2119C22—81no—
2120C22C22×#12011yescharacteristic
2121C22C2×D4211yescharacteristic
2122C22C2×D4211yescharacteristic
2123C22C2×D4211yescharacteristic
2124C22C2×#54611yescharacteristic
2125C22C2×#54811yescharacteristic
2126C22D4×#4111yescharacteristic
2127C22D4×#4111yescharacteristic
2128C22#348411yescharacteristic
2129C22#348411yescharacteristic
2130C22#348411yescharacteristic
2131C22#348511yescharacteristic
2132C22#348611yescharacteristic
2133C22#348711yescharacteristic
2134C22#348811yescharacteristic
2135C22#348811yescharacteristic
2136C22#348811yescharacteristic
2137C22#348911yescharacteristic
2138C22#348911yescharacteristic
2139C22#348911yescharacteristic
2140C22#348911yescharacteristic
2141C22#348911yescharacteristic
2142C22#350011yescharacteristic
2143C22#350511yescharacteristic
2144C22#351411yescharacteristic
2145C22#352011yescharacteristic
2146C22#353611yescharacteristic
2147C22#353611yescharacteristic
2148C22#354011yescharacteristic
2149C22#354111yescharacteristic
2150C22#355811yescharacteristic
2151C22#356111yescharacteristic
2152C22#356111yescharacteristic
2153C22#356211yescharacteristic
2154C22#356211yescharacteristic
2155C4—24no—
2156C4—24no—
2157C4—24no—
2158C4—24no—
2159C4—24no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—81no—
2171C4—81no—
2172C4—81no—
2173C4—81no—
2174C4—81no—
2175C4—81no—
2176C4—81no—
2177C4—81no—
2178C4—81no—
2179C4—81no—
2180C2—44no—
2181C2—44no—
2182C2—44no—
2183C2—82no—
2184C2—82no—
2185C2—82no—
2186C2#3565911yescharacteristic
2187C2D4×#12011yescharacteristic
2188C2#3621211yescharacteristic
2189C2#4310111yescharacteristic
2190C2#4312011yescharacteristic
2191C2#4465111yescharacteristic
2192C2#4513411yescharacteristic
2193C2#4526311yescharacteristic
2194C2#4542211yescharacteristic
2195C2#4783311yescharacteristic
2196C2#4783911yescharacteristic
2197C2#5064211yescharacteristic
2198C2#5899611yescharacteristic
2199C2#5900511yescharacteristic
2200C2#5913011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#548C2semidirect
2. C2×#2404C2semidirect
3. C2×#2409C2semidirect
4. C2×#2472C2semidirect
5. C2×#2424C2semidirect
6. C2×#2437C2semidirect
7. #15951C2semidirect
8. #15325C2semidirect
9. #15323C2semidirect
10. #15317C2semidirect
11. #15315C2semidirect
12. #15311C2semidirect
13. #15280C2semidirect
14. #15274C2semidirect
15. #15264C2semidirect
16. #15263C2semidirect
17. #15259C2semidirect
18. #15257C2semidirect
19. #14889C2semidirect
20. #14877C2semidirect
21. #14873C2semidirect
22. #14796C2semidirect
23. #14732C2semidirect
24. #14731C2semidirect
25. #14421C2semidirect
26. #14364C2semidirect
27. #14361C2semidirect
28. #14172C2semidirect
29. #14171C2semidirect
30. #13970C2semidirect
31. #13967C2semidirect
33. C24×Q8C22semidirect
39. C22×#124C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
48. C22×#121C22semidirect
52. C22×C4×Q8C22semidirect
55. C22×C4×D4C22semidirect
56. C22×C4×D4C22semidirect
69. C2×#395C22semidirect
70. C2×#395C22semidirect
75. C2×#394C22semidirect
76. C2×#394C22semidirect
88. C2×#391C22semidirect
89. C2×#391C22semidirect
92. C2×#390C22semidirect
116. C2×#385C22semidirect
117. C2×#385C22semidirect
118. C2×#385C22semidirect
119. C2×#385C22semidirect
123. C2×#380C22semidirect
127. #1446C22semidirect
128. #1446C22semidirect
129. #1446C22semidirect
130. #1446C22semidirect
131. #1445C22semidirect
132. #1444C22semidirect
133. #1444C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
142. #1440C22semidirect
143. #1440C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1438C22semidirect
177. #1437C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. C4⋊#95C22semidirect
186. C4⋊#95C22semidirect
187. #1434C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
193. C22⋊#95C22semidirect
194. C22⋊#95C22semidirect
244. C2×#124D4semidirect
259. C2×C22⋊Q8D4semidirect
271. C2×#121D4semidirect
397. #393D4semidirect
640. C22×D4#41semidirect
1813. C23#548semidirect

Maximal subgroups

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

subgroupindex
C22×#5482
C2×#24042
C2×#24092
C2×#24722
C2×#24242
C2×#24372
#159512
#153252
#153232
#153172
#153152
#153112
#152802
#152742
#152642
#152632
#152592
#152572
#148892
#148772
#148732
#147962
#147322
#147312
#144212
#143642
#143612
#141722
#141712
#139702
#139672