Finite Group Databasebeta

← #1344484

Subgroups — #1344484

Order 512.

3264 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2721C211yesmaximal, characteristic, complemented
2C2×#2480C211yesmaximal, characteristic, complemented
3C2×#2633C211yesmaximal, characteristic, complemented
4C2×#2358C211yesmaximal, characteristic
5#16333C211yesmaximal, characteristic, complemented
6#16321C211yesmaximal, characteristic, complemented
7#16314C211yesmaximal, characteristic, complemented
8#16269C211yesmaximal, characteristic, complemented
9#15913C211yesmaximal, characteristic, complemented
10#15764C211yesmaximal, characteristic, complemented
11#15696C211yesmaximal, characteristic, complemented
12#15505C211yesmaximal, characteristic, complemented
13#15387C211yesmaximal, characteristic, complemented
14#15372C211yesmaximal, characteristic, complemented
15#15281C211yesmaximal, characteristic
16#15268C211yesmaximal, characteristic
17#15216C211yesmaximal, characteristic, complemented
18#15006C211yesmaximal, characteristic, complemented
19#14925C211yesmaximal, characteristic, complemented
20#14812C211yesmaximal, characteristic, complemented
21#14771C211yesmaximal, characteristic, complemented
22#14753C211yesmaximal, characteristic, complemented
23#14734C211yesmaximal, characteristic, complemented
24#14734C211yesmaximal, characteristic, complemented
25#14727C211yesmaximal, characteristic, complemented
26#14442C211yesmaximal, characteristic, complemented
27#14405C211yesmaximal, characteristic, complemented
28#14396C211yesmaximal, characteristic, complemented
29#14209C211yesmaximal, characteristic, complemented
30#14185C211yesmaximal, characteristic, complemented
31#13977C211yesmaximal, characteristic, complemented
32C22×#126C2211yescharacteristic
33C22×#125C2211yescharacteristic, complemented
34C22×#120C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39#2721—28no—
40#2633—28no—
41#2480—28no—
42C2×#399C2211yescharacteristic
43C2×#399C2211yescharacteristic
44C2×#399C2211yescharacteristic
45C2×#399C2211yescharacteristic
46C2×#399C2211yescharacteristic, complemented
47C2×#398C2211yescharacteristic, complemented
48C2×#398C2211yescharacteristic, complemented
49C2×#398C2211yescharacteristic, complemented
50C2×#398C2211yescharacteristic, complemented
51C2×#397C2211yescharacteristic
52C2×#397C2211yescharacteristic
53C2×#397C2211yescharacteristic
54C2×#397C2211yescharacteristic
55C2×#397C2211yescharacteristic
56C2×#397C2211yescharacteristic, complemented
57C2×#396C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#396C2211yescharacteristic, complemented
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64#2358—28no—
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#390C2211yescharacteristic
68C2×#389C2211yescharacteristic, complemented
69C2×#389C2211yescharacteristic, complemented
70C2×#389C2211yescharacteristic, complemented
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic, complemented
80C2×#387C2211yescharacteristic, complemented
81C2×#387C2211yescharacteristic, complemented
82C2×#387C2211yescharacteristic, complemented
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic
94C2×#385C2211yescharacteristic
95C2×#385C2211yescharacteristic, complemented
96C2×#385C2211yescharacteristic, complemented
97C2×#385C2211yescharacteristic, complemented
98C2×#384C2211yescharacteristic, complemented
99C2×#383C2211yescharacteristic, complemented
100C2×#380C2211yescharacteristic
101C2×#380C2211yescharacteristic
102C2×#380C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×#379C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic
109C2×C4×C22⋊C4C2211yescharacteristic
110#1445C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1444C2211yescharacteristic, complemented
113#1444C2211yescharacteristic, complemented
114#1444C2211yescharacteristic, complemented
115#1444C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1443C2211yescharacteristic, complemented
118#1443C2211yescharacteristic, complemented
119#1443C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1442C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1441C2211yescharacteristic, complemented
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic, complemented
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1439C2211yescharacteristic, complemented
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178C4⋊#95C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180C4⋊#95C2211yescharacteristic, complemented
181C4⋊#95C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C2×#126—24no—
201C2×#126—24no—
202C2×#126—42no—
203C2×#125—24no—
204C2×#125—24no—
205C2×#125—42no—
206C2×#120—24no—
207C2×#120—24no—
208C2×#120—24no—
209C2×C4×D4—24no—
210C2×C4×D4—24no—
211C2×C4×D4—24no—
212C2×C4×D4—42no—
213C2×C4×D4—42no—
214C2×C4×D4—42no—
215C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C22⋊C4—24no—
245C22×C22⋊C4—24no—
246C22×C22⋊C4—24no—
247C22×C22⋊C4—42no—
248C22×C22⋊C4—42no—
249C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C42C2311yescharacteristic
297C22×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302C22×C42C2311yescharacteristic
303#399—24no—
304#399—24no—
305#399—24no—
306#399—24no—
307#399—42no—
308#398—24no—
309#398—24no—
310#398—24no—
311#398—24no—
312#397—24no—
313#397—24no—
314#397—24no—
315#397—24no—
316#397—42no—
317#397D418yescomplemented
318#396—24no—
319#396—24no—
320#396—42no—
321#394—24no—
322#394—24no—
323#394—24no—
324#394—42no—
325#390—24no—
326#390—24no—
327#390—42no—
328#389—24no—
329#389—42no—
330#389—42no—
331#388—24no—
332#388—24no—
333#388—24no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—42no—
339#388D418yes—
340#387—24no—
341#387—24no—
342#387—24no—
343#386—24no—
344#386—24no—
345#386—24no—
346#385—24no—
347#385—24no—
348#385—24no—
349#385—24no—
350#385—24no—
351#385—24no—
352#385—24no—
353#385—24no—
354#385—42no—
355#385—42no—
356#385—42no—
357#385—42no—
358#384—24no—
359#383—24no—
360#380—24no—
361#380—42no—
362#380—42no—
363#379—24no—
364#379—24no—
365#379—42no—
366#379—42no—
367C4×C22⋊C4—24no—
368C4×C22⋊C4—24no—
369C4×C22⋊C4—24no—
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
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
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25C2411yescharacteristic
450C25C2411yescharacteristic
451C25C2411yescharacteristic
452C25C2411yescharacteristic
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—41no—
466C22×D4—41no—
467C22×D4—41no—
468C22×D4—41no—
469C22×D4—41no—
470C22×D4—41no—
471C22×D4—41no—
472C22×D4—41no—
473C22×D4#4114yes—
474C23×C4—22no—
475C23×C4—22no—
476C23×C4—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—22no—
485C23×C4—22no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—41no—
504C23×C4—41no—
505C23×C4—41no—
506C23×C4—41no—
507C23×C4—41no—
508C23×C4—41no—
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536#126—416no—
537#125—416no—
538#120—232no—
539C4×D4—416no—
540C4×D4—416no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
544C2×C4⋊C4—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
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—41no—
584C2×C4⋊C4—41no—
585C2×C4⋊C4—41no—
586C2×C4⋊C4—41no—
587C2×C4⋊C4—41no—
588C2×C4⋊C4—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
592C2×C4⋊C4—41no—
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⋊C4—41no—
626C2×C4⋊C4C2×D414yes—
627C2×C4⋊C4C2×D414yes—
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—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—416no—
701C2×C22⋊C4—416no—
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⋊C4C2×D414yes—
762C2×C22⋊C4C2×D414yes—
763C2×C22⋊C4C2×D414yes—
764C2×C22⋊C4C2×D414yes—
765C2×C22⋊C4C2×D414yes—
766C2×C22⋊C4C2×D414yes—
767C2×C22⋊C4#4114yes—
768C2×C42—22no—
769C2×C42—22no—
770C2×C42—22no—
771C2×C42—22no—
772C2×C42—22no—
773C2×C42—22no—
774C2×C42—22no—
775C2×C42—22no—
776C2×C42—22no—
777C2×C42—22no—
778C2×C42—22no—
779C2×C42—22no—
780C2×C42—41no—
781C2×C42—41no—
782C2×C42—41no—
783C2×C42—41no—
784C2×C42—41no—
785C2×C42—41no—
786C2×C42—41no—
787C2×C42—41no—
788C2×C42C2×D414yes—
789#95—22no—
790#95—22no—
791#95—22no—
792#95—22no—
793#95—22no—
794#95—22no—
795#95—22no—
796#95—22no—
797#95—22no—
798#95—22no—
799#95—22no—
800#95—22no—
801#95—22no—
802#95—22no—
803#95—22no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—41no—
825#95—41no—
826#95—41no—
827#95—41no—
828#95—41no—
829#95—41no—
830#95—41no—
831#95—41no—
832#95—41no—
833#95—41no—
834#95—41no—
835#95—41no—
836#95—41no—
837#95—41no—
838#95—41no—
839#95—41no—
840#95—41no—
841#95—41no—
842#95—41no—
843#95—41no—
844#95—41no—
845#95—41no—
846#95—41no—
847#95—41no—
848#95C2×D414yes—
849#95C2×D414yes—
850#95C2×D414yes—
851#95C2×D414yes—
852#95C2×D414yes—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—28no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
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—44no—
907C24—44no—
908C24—44no—
909C24—44no—
910C24—44no—
911C24—44no—
912C24—44no—
913C24—44no—
914C24—44no—
915C24—44no—
916C24—44no—
917C24—44no—
918C24—44no—
919C24—44no—
920C24—44no—
921C24—44no—
922C24—82no—
923C24—82no—
924C24—82no—
925C24—82no—
926C24—82no—
927C24—82no—
928C24—82no—
929C24—82no—
930C24—82no—
931C24—82no—
932C24—82no—
933C24—82no—
934C24—82no—
935C24—82no—
936C24—82no—
937C24—82no—
938C24—82no—
939C24—82no—
940C24C22×D412yes—
941C24C22×D412yes—
942C24C2×#4112yes—
943C24C2×#4112yes—
944C24C2×#4112yes—
945C24H(5,𝔽2)12yes—
946C242−1+412yes—
947C242−1+412yes—
948C24C2511yescharacteristic
949C2×D4—28no—
950C2×D4—28no—
951C2×D4—28no—
952C2×D4—28no—
953C2×D4—44no—
954C2×D4—44no—
955C2×D4—44no—
956C2×D4—44no—
957C2×D4—44no—
958C2×D4—44no—
959C2×D4—44no—
960C2×D4—44no—
961C2×D4—44no—
962C2×D4—44no—
963C2×D4—44no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
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—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—82no—
1156C22×C4—82no—
1157C22×C4—82no—
1158C22×C4—82no—
1159C22×C4—82no—
1160C22×C4—82no—
1161C22×C4—82no—
1162C22×C4—82no—
1163C22×C4—82no—
1164C22×C4—82no—
1165C22×C4—82no—
1166C22×C4—82no—
1167C22×C4—82no—
1168C22×C4—82no—
1169C22×C4—82no—
1170C22×C4—82no—
1171C22×C4—82no—
1172C22×C4—82no—
1173C22×C4—82no—
1174C22×C4—82no—
1175C22×C4—82no—
1176C22×C4C22×D412yes—
1177C22×C4C22×D412yes—
1178C22×C4C22×D412yes—
1179C22×C4C22×D412yes—
1180C22×C4C22×D412yes—
1181C22×C4C22×D412yes—
1182C22×C4C22×D412yes—
1183C22×C4C22×D412yes—
1184C22×C4C22×D412yes—
1185C22×C4C22×D412yes—
1186C22×C4C22×D412yes—
1187C22×C4C22×D412yes—
1188C22×C4C2×#4112yes—
1189C22×C4C2×#4112yes—
1190C22×C4C2×#4112yes—
1191C22×C4H(5,𝔽2)12yes—
1192C22×C4H(5,𝔽2)12yes—
1193C22×C4H(5,𝔽2)12yes—
1194C4⋊C4—28no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—82no—
1210C4⋊C4—82no—
1211C4⋊C4—82no—
1212C4⋊C4—82no—
1213C4⋊C4—82no—
1214C4⋊C4—82no—
1215C4⋊C4—82no—
1216C4⋊C4—82no—
1217C4⋊C4—82no—
1218C4⋊C4—82no—
1219C4⋊C4—82no—
1220C4⋊C4—82no—
1221C4⋊C4—82no—
1222C4⋊C4—82no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—82no—
1253C22⋊C4—82no—
1254C22⋊C4—82no—
1255C22⋊C4—82no—
1256C22⋊C4—82no—
1257C22⋊C4—82no—
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—
1269C42—28no—
1270C42—44no—
1271C42—44no—
1272C42—44no—
1273C42—82no—
1274C42—82no—
1275C42—82no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—416no—
1327C23—416no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—88no—
1417C23—88no—
1418C23—88no—
1419C23—88no—
1420C23—88no—
1421C23—88no—
1422C23—88no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—88no—
1428C23—88no—
1429C23#53914yes—
1430C23#54714yes—
1431C23C23×D411yescharacteristic
1432C23C23×D411yescharacteristic
1433C23C22×#4111yescharacteristic
1434C23C22×#4111yescharacteristic
1435C23C2×H(5,𝔽2)11yescharacteristic
1436C23C2×H(5,𝔽2)11yescharacteristic
1437C23C2×H(5,𝔽2)11yescharacteristic
1438C23C2×H(5,𝔽2)11yescharacteristic
1439C23C2×2−1+411yescharacteristic
1440C23C2×2−1+411yescharacteristic
1441C23#58511yescharacteristic
1442C23#58511yescharacteristic
1443C23#58511yescharacteristic
1444C23#58511yescharacteristic
1445C23#58511yescharacteristic
1446D4—416no—
1447D4—416no—
1448D4—88no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4#52514yes—
1642C2×C4D4214yes—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—24no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—832no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22C2×#52511yescharacteristic
1705C22C2×#53911yescharacteristic
1706C22#345911yescharacteristic
1707C22C2×D4211yescharacteristic
1708C22C2×#54711yescharacteristic
1709C22D4×#4111yescharacteristic
1710C22#348411yescharacteristic
1711C22#348811yescharacteristic
1712C22#348811yescharacteristic
1713C22#348911yescharacteristic
1714C22#348911yescharacteristic
1715C22#348911yescharacteristic
1716C22#349811yescharacteristic
1717C22#350011yescharacteristic
1718C22#350011yescharacteristic
1719C22#350611yescharacteristic
1720C22#351311yescharacteristic
1721C22#351311yescharacteristic
1722C22#351311yescharacteristic
1723C22#352011yescharacteristic
1724C22#352011yescharacteristic
1725C22#352111yescharacteristic
1726C22#352111yescharacteristic
1727C22#353511yescharacteristic
1728C22#353511yescharacteristic
1729C22#353511yescharacteristic
1730C22#353811yescharacteristic
1731C22#354311yescharacteristic
1732C22#354511yescharacteristic
1733C22#354611yescharacteristic
1734C22#356011yescharacteristic
1735C22#356011yescharacteristic
1736C22#356211yescharacteristic
1737C22#356411yescharacteristic
1738C22#356411yescharacteristic
1739C4—24no—
1740C4—24no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4—81no—
1757C4—81no—
1758C4—81no—
1759C4—81no—
1760C4—81no—
1761C4—81no—
1762C4—81no—
1763C4—81no—
1764C4—81no—
1765C4—81no—
1766C2—44no—
1767C2—44no—
1768C2—82no—
1769C2—82no—
1770C2#3499111yescharacteristic
1771C2#3598211yescharacteristic
1772C2#3610011yescharacteristic
1773C2#3772411yescharacteristic
1774C2#3945011yescharacteristic
1775C2#4084411yescharacteristic
1776C2#4236011yescharacteristic
1777C2#4397611yescharacteristic
1778C2#4402011yescharacteristic
1779C2#4476011yescharacteristic
1780C2#4492711yescharacteristic
1781C2#4865911yescharacteristic
1782C2#4992311yescharacteristic
1783C2#5089711yescharacteristic
1784C2#5141211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
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×#2721C2semidirect
2. C2×#2480C2semidirect
3. C2×#2633C2semidirect
5. #16333C2semidirect
6. #16321C2semidirect
7. #16314C2semidirect
8. #16269C2semidirect
9. #15913C2semidirect
10. #15764C2semidirect
11. #15696C2semidirect
12. #15505C2semidirect
13. #15387C2semidirect
14. #15372C2semidirect
17. #15216C2semidirect
18. #15006C2semidirect
19. #14925C2semidirect
20. #14812C2semidirect
21. #14771C2semidirect
22. #14753C2semidirect
23. #14734C2semidirect
24. #14734C2semidirect
25. #14727C2semidirect
26. #14442C2semidirect
27. #14405C2semidirect
28. #14396C2semidirect
29. #14209C2semidirect
30. #14185C2semidirect
31. #13977C2semidirect
33. C22×#125C22semidirect
46. C2×#399C22semidirect
47. C2×#398C22semidirect
48. C2×#398C22semidirect
49. C2×#398C22semidirect
50. C2×#398C22semidirect
56. C2×#397C22semidirect
59. C2×#396C22semidirect
68. C2×#389C22semidirect
69. C2×#389C22semidirect
70. C2×#389C22semidirect
79. C2×#388C22semidirect
80. C2×#387C22semidirect
81. C2×#387C22semidirect
82. C2×#387C22semidirect
95. C2×#385C22semidirect
96. C2×#385C22semidirect
97. C2×#385C22semidirect
98. C2×#384C22semidirect
99. C2×#383C22semidirect
110. #1445C22semidirect
111. #1444C22semidirect
112. #1444C22semidirect
113. #1444C22semidirect
114. #1444C22semidirect
115. #1444C22semidirect
116. #1444C22semidirect
117. #1443C22semidirect
118. #1443C22semidirect
119. #1443C22semidirect
120. #1442C22semidirect
121. #1442C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1442C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
129. #1441C22semidirect
135. #1440C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
161. #1439C22semidirect
169. #1437C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. C4⋊#95C22semidirect
179. C4⋊#95C22semidirect
180. C4⋊#95C22semidirect
181. C4⋊#95C22semidirect
182. C4⋊#95C22semidirect
183. #1434C22semidirect
189. C22⋊#95C22semidirect
190. C4×#95C22semidirect
317. #397D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27212
C2×#24802
C2×#26332
C2×#23582
#163332
#163212
#163142
#162692
#159132
#157642
#156962
#155052
#153872
#153722
#152812
#152682
#152162
#150062
#149252
#148122
#147712
#147532
#147342
#147272
#144422
#144052
#143962
#142092
#141852
#139772