Finite Group Databasebeta

← #4987478

Subgroups — #4987478

Order 512.

3181 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2797C211yesmaximal, characteristic, complemented
2C2×#2375C211yesmaximal, characteristic, complemented
3#16822C211yesmaximal, characteristic, complemented
4#16801C211yesmaximal, characteristic, complemented
5#16347C211yesmaximal, characteristic, complemented
6#16290C211yesmaximal, characteristic, complemented
7#16282C211yesmaximal, characteristic, complemented
8#16272C211yesmaximal, characteristic, complemented
9#15733C211yesmaximal, characteristic, complemented
10#15713C211yesmaximal, characteristic, complemented
11#15655C211yesmaximal, characteristic, complemented
12#15640C211yesmaximal, characteristic, complemented
13#15419C211yesmaximal, characteristic, complemented
14#15417C211yesmaximal, characteristic, complemented
15#15283C211yesmaximal, characteristic, complemented
16#15281C211yesmaximal, characteristic, complemented
17#15268C211yesmaximal, characteristic, complemented
18#15268C211yesmaximal, characteristic, complemented
19#15266C211yesmaximal, characteristic, complemented
20#15258C211yesmaximal, characteristic
21#15127C211yesmaximal, characteristic, complemented
22#14864C211yesmaximal, characteristic, complemented
23#14754C211yesmaximal, characteristic, complemented
24#14754C211yesmaximal, characteristic, complemented
25#14751C211yesmaximal, characteristic, complemented
26#14749C211yesmaximal, characteristic, complemented
27#14578C211yesmaximal, characteristic, complemented
28#14419C211yesmaximal, characteristic, complemented
29#14228C211yesmaximal, characteristic, complemented
30#14119C211yesmaximal, characteristic, complemented
31#14084C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#120C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×#120C2211yescharacteristic
36#2797—28no—
37C2×#399C2211yescharacteristic
38C2×#397C2211yescharacteristic
39C2×#397C2211yescharacteristic, complemented
40C2×#397C2211yescharacteristic, complemented
41C2×#396C2211yescharacteristic
42C2×#396C2211yescharacteristic
43C2×#396C2211yescharacteristic, complemented
44C2×#396C2211yescharacteristic, complemented
45C2×#396C2211yescharacteristic, complemented
46C2×#394C2211yescharacteristic
47C2×#394C2211yescharacteristic
48C2×#394C2211yescharacteristic
49C2×#394C2211yescharacteristic
50C2×#394C2211yescharacteristic
51C2×#394C2211yescharacteristic
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic, complemented
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64#2375—28no—
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#390C2211yescharacteristic
68C2×#390C2211yescharacteristic
69C2×#390C2211yescharacteristic
70C2×#390C2211yescharacteristic
71C2×#390C2211yescharacteristic
72C2×#390C2211yescharacteristic, complemented
73C2×#390C2211yescharacteristic, complemented
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic
81C2×#388C2211yescharacteristic
82C2×#388C2211yescharacteristic
83C2×#388C2211yescharacteristic
84C2×#388C2211yescharacteristic, complemented
85C2×#388C2211yescharacteristic, complemented
86C2×#388C2211yescharacteristic, complemented
87C2×#387C2211yescharacteristic, complemented
88C2×#387C2211yescharacteristic, complemented
89C2×#387C2211yescharacteristic, complemented
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic, complemented
97C2×#386C2211yescharacteristic, complemented
98C2×#386C2211yescharacteristic, complemented
99C2×#386C2211yescharacteristic, complemented
100C2×#385C2211yescharacteristic, complemented
101C2×#385C2211yescharacteristic, complemented
102C2×#379C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×C4×C4⋊C4C2211yescharacteristic, complemented
107C2×C4×C22⋊C4C2211yescharacteristic, complemented
108C2×C4×C22⋊C4C2211yescharacteristic, complemented
109#1445C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1443C2211yescharacteristic, complemented
113#1442C2211yescharacteristic, complemented
114#1442C2211yescharacteristic, complemented
115#1442C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1441C2211yescharacteristic, complemented
118#1441C2211yescharacteristic, complemented
119#1441C2211yescharacteristic, complemented
120#1441C2211yescharacteristic, complemented
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic, complemented
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183C4⋊#95C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186#1434C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C2×#127—24no—
205C2×#127—42no—
206C2×#127—42no—
207C2×#120—24no—
208C2×#120—24no—
209C2×#120—24no—
210C2×#120—42no—
211C2×#120—42no—
212C2×#120—42no—
213C2×#120—42no—
214C2×#120—42no—
215C2×#120—42no—
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C42C2311yescharacteristic
295C22×C42C2311yescharacteristic
296C22×C42C2311yescharacteristic
297C22×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302#399—24no—
303#397—24no—
304#397—24no—
305#397—24no—
306#396—42no—
307#396—42no—
308#396—42no—
309#396—42no—
310#396—42no—
311#394—24no—
312#394—24no—
313#394—42no—
314#394—42no—
315#394—42no—
316#394—42no—
317#394—42no—
318#394—42no—
319#394—42no—
320#394—42no—
321#394—42no—
322#394—42no—
323#392—24no—
324#392—24no—
325#392—42no—
326#392—42no—
327#392—42no—
328#392—42no—
329#390—24no—
330#390—24no—
331#390—24no—
332#390—24no—
333#390—24no—
334#390—24no—
335#390—42no—
336#390—42no—
337#390—42no—
338#388—24no—
339#388—24no—
340#388—24no—
341#388—24no—
342#388—24no—
343#388—24no—
344#388—42no—
345#388—42no—
346#388—42no—
347#388—42no—
348#388—42no—
349#388—42no—
350#388D418yescomplemented
351#387—24no—
352#387—24no—
353#387—42no—
354#386—24no—
355#386—24no—
356#386—24no—
357#386—24no—
358#386—24no—
359#386—42no—
360#386—42no—
361#386—42no—
362#386—42no—
363#386—42no—
364#385—24no—
365#385—42no—
366#379—24no—
367#379—24no—
368#379—42no—
369#379—42no—
370C4×C4⋊C4—42no—
371C4×C22⋊C4—42no—
372C4×C22⋊C4—42no—
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C25—22no—
428C25—22no—
429C25—22no—
430C25—41no—
431C25—41no—
432C25—41no—
433C25—41no—
434C25—41no—
435C25—41no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25—41no—
440C25—41no—
441C25—41no—
442C25C2411yescharacteristic
443C25C2411yescharacteristic
444C25C2411yescharacteristic
445C25C2411yescharacteristic
446C25C2411yescharacteristic
447C25C2411yescharacteristic
448C22×D4—22no—
449C22×D4—22no—
450C22×D4—22no—
451C22×D4—22no—
452C22×D4—22no—
453C22×D4—22no—
454C22×D4—22no—
455C22×D4—22no—
456C22×D4—22no—
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
467C22×D4—22no—
468C22×D4—22no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—41no—
480C22×D4—41no—
481C22×D4—41no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4—41no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—41no—
494C22×D4—41no—
495C22×D4—41no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4—41no—
505C22×D4—41no—
506C22×D4—41no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4#4114yes—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571#127—416no—
572#120—232no—
573#120—416no—
574#120—416no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—22no—
589C2×C4⋊C4—22no—
590C2×C4⋊C4—22no—
591C2×C4⋊C4—22no—
592C2×C4⋊C4—22no—
593C2×C4⋊C4—41no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4C2×D414yes—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—41no—
698C2×C22⋊C4—41no—
699C2×C22⋊C4—41no—
700C2×C22⋊C4—41no—
701C2×C22⋊C4—41no—
702C2×C22⋊C4—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—41no—
706C2×C22⋊C4—41no—
707C2×C22⋊C4—41no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—41no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4—41no—
715C2×C22⋊C4—41no—
716C2×C22⋊C4—41no—
717C2×C22⋊C4—41no—
718C2×C22⋊C4—41no—
719C2×C22⋊C4—41no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4—41no—
725C2×C22⋊C4—41no—
726C2×C22⋊C4—41no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4C2×D414yes—
806C2×C22⋊C4C2×D414yes—
807C2×C22⋊C4C2×D414yes—
808C2×C22⋊C4#4114yes—
809C2×C42—22no—
810C2×C42—22no—
811C2×C42—22no—
812C2×C42—22no—
813C2×C42—22no—
814C2×C42—22no—
815C2×C42—22no—
816C2×C42—22no—
817C2×C42—41no—
818C2×C42—41no—
819C2×C42—41no—
820C2×C42—41no—
821C2×C42—41no—
822C2×C42—41no—
823C2×C42—41no—
824C2×C42—41no—
825C2×C42—41no—
826C2×C42—41no—
827C2×C42—41no—
828C2×C42—41no—
829C2×C42—41no—
830C2×C42—41no—
831C2×C42—41no—
832C2×C42C2×D414yes—
833#95—22no—
834#95—22no—
835#95—22no—
836#95—22no—
837#95—22no—
838#95—22no—
839#95—22no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—22no—
863#95—22no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95C2×D414yes—
886#95C2×D414yes—
887C24—28no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—44no—
974C24—44no—
975C24—44no—
976C24—44no—
977C24—82no—
978C24—82no—
979C24—82no—
980C24—82no—
981C24—82no—
982C24—82no—
983C24—82no—
984C24—82no—
985C24—82no—
986C24—82no—
987C24—82no—
988C24—82no—
989C24—82no—
990C24—82no—
991C24—82no—
992C24—82no—
993C24—82no—
994C24—82no—
995C24—82no—
996C24—82no—
997C24—82no—
998C24—82no—
999C24—82no—
1000C24—82no—
1001C24—82no—
1002C24—82no—
1003C24—82no—
1004C24—82no—
1005C24—82no—
1006C24—82no—
1007C24C22×D412yes—
1008C24C2×#4112yes—
1009C24C2×#4112yes—
1010C24C2×#4112yes—
1011C24H(5,𝔽2)12yes—
1012C24C2511yescharacteristic
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—82no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—82no—
1054C2×D4—82no—
1055C2×D4—82no—
1056C2×D4—82no—
1057C2×D4—82no—
1058C2×D4—82no—
1059C2×D4—82no—
1060C2×D4—82no—
1061C2×D4—82no—
1062C2×D4—82no—
1063C2×D4—82no—
1064C2×D4—82no—
1065C2×D4—82no—
1066C2×D4—82no—
1067C2×D4—82no—
1068C2×D4—82no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—82no—
1073C2×D4—82no—
1074C2×D4—82no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4—82no—
1090C2×D4—82no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
1261C22×C4—82no—
1262C22×C4—82no—
1263C22×C4—82no—
1264C22×C4—82no—
1265C22×C4—82no—
1266C22×C4—82no—
1267C22×C4—82no—
1268C22×C4—82no—
1269C22×C4—82no—
1270C22×C4C22×D412yes—
1271C22×C4C22×D412yes—
1272C22×C4C22×D412yes—
1273C22×C4C22×D412yes—
1274C22×C4C22×D412yes—
1275C22×C4C22×D412yes—
1276C22×C4C2×#4112yes—
1277C22×C4C2×#4112yes—
1278C22×C4C2×#4112yes—
1279C22×C4H(5,𝔽2)12yes—
1280C22×C4H(5,𝔽2)12yes—
1281C22×C4H(5,𝔽2)12yes—
1282C22×C4H(5,𝔽2)12yes—
1283C22×C4H(5,𝔽2)12yes—
1284C22×C4H(5,𝔽2)12yes—
1285C22×C4H(5,𝔽2)12yes—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—82no—
1292C4⋊C4—82no—
1293C4⋊C4—82no—
1294C4⋊C4—82no—
1295C4⋊C4—82no—
1296C4⋊C4—82no—
1297C4⋊C4—82no—
1298C4⋊C4—82no—
1299C4⋊C4—82no—
1300C4⋊C4—82no—
1301C4⋊C4—82no—
1302C4⋊C4—82no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—82no—
1326C22⋊C4—82no—
1327C22⋊C4—82no—
1328C22⋊C4—82no—
1329C22⋊C4—82no—
1330C22⋊C4—82no—
1331C22⋊C4—82no—
1332C22⋊C4—82no—
1333C22⋊C4—82no—
1334C22⋊C4—82no—
1335C22⋊C4—82no—
1336C22⋊C4—82no—
1337C22⋊C4—82no—
1338C22⋊C4—82no—
1339C22⋊C4—82no—
1340C22⋊C4—82no—
1341C22⋊C4—82no—
1342C22⋊C4—82no—
1343C22⋊C4—82no—
1344C22⋊C4—82no—
1345C22⋊C4—82no—
1346C22⋊C4—82no—
1347C22⋊C4—82no—
1348C22⋊C4—82no—
1349C22⋊C4—82no—
1350C22⋊C4—82no—
1351C22⋊C4—82no—
1352C22⋊C4—82no—
1353C22⋊C4—82no—
1354C22⋊C4—82no—
1355C22⋊C4—82no—
1356C22⋊C4—82no—
1357C22⋊C4—82no—
1358C22⋊C4—82no—
1359C22⋊C4—82no—
1360C22⋊C4—82no—
1361C22⋊C4—82no—
1362C22⋊C4—82no—
1363C22⋊C4—82no—
1364C42—44no—
1365C42—44no—
1366C42—82no—
1367C42—82no—
1368C42—82no—
1369C42—82no—
1370C42—82no—
1371C42—82no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—88no—
1595C23—88no—
1596C23—88no—
1597C23C23×D411yescharacteristic
1598C23C22×#4111yescharacteristic
1599C23C22×#4111yescharacteristic
1600C23C2×H(5,𝔽2)11yescharacteristic
1601C23C2×H(5,𝔽2)11yescharacteristic
1602C23C2×H(5,𝔽2)11yescharacteristic
1603C23C2×H(5,𝔽2)11yescharacteristic
1604C23C2×H(5,𝔽2)11yescharacteristic
1605C23C2×H(5,𝔽2)11yescharacteristic
1606C23C2×H(5,𝔽2)11yescharacteristic
1607C23C2×H(5,𝔽2)11yescharacteristic
1608C23#58511yescharacteristic
1609C23#58511yescharacteristic
1610C23#58511yescharacteristic
1611C23#58511yescharacteristic
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623D4—88no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4#52514yes—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—832no—
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—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22C2×#52511yescharacteristic
1893C22#348811yescharacteristic
1894C22#348811yescharacteristic
1895C22#349011yescharacteristic
1896C22#349111yescharacteristic
1897C22#349611yescharacteristic
1898C22#349611yescharacteristic
1899C22#349811yescharacteristic
1900C22#349811yescharacteristic
1901C22#350811yescharacteristic
1902C22#351011yescharacteristic
1903C22#351311yescharacteristic
1904C22#351311yescharacteristic
1905C22#351411yescharacteristic
1906C22#351411yescharacteristic
1907C22#351911yescharacteristic
1908C22#351911yescharacteristic
1909C22#351911yescharacteristic
1910C22#351911yescharacteristic
1911C22#352911yescharacteristic
1912C22#353211yescharacteristic
1913C22#353211yescharacteristic
1914C22#353411yescharacteristic
1915C22#353411yescharacteristic
1916C22#353411yescharacteristic
1917C22#353711yescharacteristic
1918C22#353711yescharacteristic
1919C22#353911yescharacteristic
1920C22#354011yescharacteristic
1921C22#354611yescharacteristic
1922C22#354611yescharacteristic
1923C22#354611yescharacteristic
1924C22#355111yescharacteristic
1925C22#355811yescharacteristic
1926C22#355811yescharacteristic
1927C4—24no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—81no—
1942C4—81no—
1943C4—81no—
1944C4—81no—
1945C4—81no—
1946C4—81no—
1947C4—81no—
1948C4—81no—
1949C4—81no—
1950C4—81no—
1951C4—81no—
1952C2—82no—
1953C2—82no—
1954C2—82no—
1955C2—82no—
1956C2—82no—
1957C2—161no—
1958C2#3553711yescharacteristic
1959C2#3576211yescharacteristic
1960C2#3580811yescharacteristic
1961C2#4565111yescharacteristic
1962C2#4578511yescharacteristic
1963C2#4582111yescharacteristic
1964C2#4787111yescharacteristic
1965C2#4814911yescharacteristic
1966C2#4840211yescharacteristic
1967C2#4848711yescharacteristic
1968C2#4975411yescharacteristic
1969C2#4983711yescharacteristic
1970C2#5065511yescharacteristic
1971C2#5068511yescharacteristic
1972C2#5085011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15258C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2797C2semidirect
2. C2×#2375C2semidirect
3. #16822C2semidirect
4. #16801C2semidirect
5. #16347C2semidirect
6. #16290C2semidirect
7. #16282C2semidirect
8. #16272C2semidirect
9. #15733C2semidirect
10. #15713C2semidirect
11. #15655C2semidirect
12. #15640C2semidirect
13. #15419C2semidirect
14. #15417C2semidirect
15. #15283C2semidirect
16. #15281C2semidirect
17. #15268C2semidirect
18. #15268C2semidirect
19. #15266C2semidirect
21. #15127C2semidirect
22. #14864C2semidirect
23. #14754C2semidirect
24. #14754C2semidirect
25. #14751C2semidirect
26. #14749C2semidirect
27. #14578C2semidirect
28. #14419C2semidirect
29. #14228C2semidirect
30. #14119C2semidirect
31. #14084C2semidirect
39. C2×#397C22semidirect
40. C2×#397C22semidirect
43. C2×#396C22semidirect
44. C2×#396C22semidirect
45. C2×#396C22semidirect
56. C2×#394C22semidirect
57. C2×#394C22semidirect
72. C2×#390C22semidirect
73. C2×#390C22semidirect
84. C2×#388C22semidirect
85. C2×#388C22semidirect
86. C2×#388C22semidirect
87. C2×#387C22semidirect
88. C2×#387C22semidirect
89. C2×#387C22semidirect
96. C2×#386C22semidirect
97. C2×#386C22semidirect
98. C2×#386C22semidirect
99. C2×#386C22semidirect
100. C2×#385C22semidirect
101. C2×#385C22semidirect
106. C2×C4×C4⋊C4C22semidirect
107. C2×C4×C22⋊C4C22semidirect
108. C2×C4×C22⋊C4C22semidirect
109. #1445C22semidirect
110. #1444C22semidirect
111. #1444C22semidirect
112. #1443C22semidirect
113. #1442C22semidirect
114. #1442C22semidirect
115. #1442C22semidirect
116. #1442C22semidirect
117. #1441C22semidirect
118. #1441C22semidirect
119. #1441C22semidirect
120. #1441C22semidirect
125. #1440C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. C4⋊#95C22semidirect
183. C4⋊#95C22semidirect
184. C4⋊#95C22semidirect
185. #1434C22semidirect
186. #1434C22semidirect
187. #1434C22semidirect
188. C4×#95C22semidirect
350. #388D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27972
C2×#23752
#168222
#168012
#163472
#162902
#162822
#162722
#157332
#157132
#156552
#156402
#154192
#154172
#152832
#152812
#152682
#152662
#152582
#151272
#148642
#147542
#147512
#147492
#145782
#144192
#142282
#141192
#140842