Finite Group Databasebeta

← #560713

Subgroups — #560713

Order 512.

3024 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2619C211yesmaximal, characteristic
2#14567C211yesmaximal, characteristic, complemented
3#14567C211yesmaximal, characteristic, complemented
4#14566C211yesmaximal, characteristic, complemented
5#14540C211yesmaximal, characteristic, complemented
6#14533C211yesmaximal, characteristic, complemented
7#14520C211yesmaximal, characteristic, complemented
8#14520C211yesmaximal, characteristic, complemented
9#14520C211yesmaximal, characteristic, complemented
10#14455C211yesmaximal, characteristic, complemented
11#14419C211yesmaximal, characteristic, complemented
12#14361C211yesmaximal, characteristic, complemented
13#14361C211yesmaximal, characteristic, complemented
14#14278C211yesmaximal, characteristic, complemented
15#14228C211yesmaximal, characteristic, complemented
16#14227C211yesmaximal, characteristic, complemented
17#14201C211yesmaximal, characteristic, complemented
18#14201C211yesmaximal, characteristic, complemented
19#14199C211yesmaximal, characteristic, complemented
20#14187C211yesmaximal, characteristic, complemented
21#14182C211yesmaximal, characteristic, complemented
22#14176C211yesmaximal, characteristic, complemented
23#14157C211yesmaximal, characteristic, complemented
24#14106C211yesmaximal, characteristic, complemented
25#14100C211yesmaximal, characteristic, complemented
26#14100C211yesmaximal, characteristic, complemented
27#14025C211yesmaximal, characteristic, complemented
28#13943C211yesmaximal, characteristic, complemented
29#13832C211yesmaximal, characteristic, complemented
30#13801C211yesmaximal, characteristic, complemented
31#13791C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#2619C4116yescomplemented
38C2×#394C2211yescharacteristic
39C2×#394C2211yescharacteristic
40C2×#394C2211yescharacteristic
41C2×#394C2211yescharacteristic
42C2×#392C2211yescharacteristic
43C2×#392C2211yescharacteristic
44C2×#392C2211yescharacteristic
45C2×#392C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#388C2211yescharacteristic
58C2×#388C2211yescharacteristic
59C2×#388C2211yescharacteristic
60C2×#388C2211yescharacteristic
61C2×#388C2211yescharacteristic
62C2×#388C2211yescharacteristic
63C2×#388C2211yescharacteristic
64C2×#388C2211yescharacteristic
65C2×#388C2211yescharacteristic
66C2×#388C2211yescharacteristic
67C2×#386C2211yescharacteristic
68C2×#386C2211yescharacteristic
69C2×#386C2211yescharacteristic
70C2×#386C2211yescharacteristic
71C2×#386C2211yescharacteristic
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#386C2211yescharacteristic
75C2×#386C2211yescharacteristic
76C2×#386C2211yescharacteristic
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#385C2211yescharacteristic
82C2×#385C2211yescharacteristic
83C2×#382C2211yescharacteristic
84C2×#380C2211yescharacteristic
85C2×C4×C4⋊C4C2211yescharacteristic
86C2×C4×C4⋊C4C2211yescharacteristic
87C2×C4×C22⋊C4C2211yescharacteristic
88C2×C4×C22⋊C4C2211yescharacteristic
89C2×C4×C22⋊C4C2211yescharacteristic
90C2×C4×C22⋊C4C2211yescharacteristic
91C2×C4×C22⋊C4C2211yescharacteristic
92#1444C2211yescharacteristic
93#1443C2211yescharacteristic
94#1443C2211yescharacteristic
95#1442C2211yescharacteristic
96#1442C2211yescharacteristic
97#1442C2211yescharacteristic
98#1441C2211yescharacteristic
99#1441C2211yescharacteristic
100#1441C2211yescharacteristic
101#1441C2211yescharacteristic
102#1441C2211yescharacteristic
103#1441C2211yescharacteristic
104#1440C2211yescharacteristic
105#1440C2211yescharacteristic
106#1440C2211yescharacteristic
107#1440C2211yescharacteristic
108#1439C2211yescharacteristic
109#1439C2211yescharacteristic
110#1439C2211yescharacteristic
111#1439C2211yescharacteristic
112#1439C2211yescharacteristic
113#1439C2211yescharacteristic
114#1438C2211yescharacteristic
115#1438C2211yescharacteristic
116#1438C2211yescharacteristic
117#1438C2211yescharacteristic
118#1438C2211yescharacteristic
119#1438C2211yescharacteristic
120#1438C2211yescharacteristic
121#1438C2211yescharacteristic
122#1438C2211yescharacteristic
123#1438C2211yescharacteristic
124#1438C2211yescharacteristic
125#1438C2211yescharacteristic
126#1438C2211yescharacteristic
127#1438C2211yescharacteristic
128#1438C2211yescharacteristic
129#1438C2211yescharacteristic
130#1438C2211yescharacteristic
131#1438C2211yescharacteristic
132#1437C2211yescharacteristic
133#1437C2211yescharacteristic
134#1437C2211yescharacteristic
135#1437C2211yescharacteristic
136#1437C2211yescharacteristic
137#1437C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic
149#1437C2211yescharacteristic
150#1437C2211yescharacteristic
151#1437C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1436C2211yescharacteristic
155#1436C2211yescharacteristic
156#1436C2211yescharacteristic
157#1436C2211yescharacteristic
158#1436C2211yescharacteristic
159#1436C2211yescharacteristic
160#1436C2211yescharacteristic
161#1436C2211yescharacteristic
162#1436C2211yescharacteristic
163#1436C2211yescharacteristic
164#1436C2211yescharacteristic
165#1436C2211yescharacteristic
166C4⋊#95C2211yescharacteristic
167C4⋊#95C2211yescharacteristic
168C4⋊#95C2211yescharacteristic
169#1434C2211yescharacteristic
170#1434C2211yescharacteristic
171#1434C2211yescharacteristic
172#1434C2211yescharacteristic
173#1434C2211yescharacteristic
174#1434C2211yescharacteristic
175#1434C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C4×#95C2211yescharacteristic
185C4×#95C2211yescharacteristic
186C4×#95C2211yescharacteristic
187C4×#95C2211yescharacteristic
188C23×D4C2311yescharacteristic
189C23×D4C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C2×#127—42no—
204C2×#127—42no—
205C2×#127C2×C418yes—
206C2×#121—42no—
207C2×#121—42no—
208C2×#121—42no—
209C2×#121—42no—
210C2×#121C2×C418yescomplemented
211C2×#121C2×C418yescomplemented
212C2×C4×D4—42no—
213C2×C4×D4—42no—
214C2×C4×D4—42no—
215C2×#117—42no—
216C2×#117—42no—
217C2×#117C2×C418yescomplemented
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×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊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×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288C22×C42C2311yescharacteristic
289C22×C42C2311yescharacteristic
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292C22×C42C2311yescharacteristic
293C22×C42C2311yescharacteristic
294#394C2×C418yescomplemented
295#394C2×C418yescomplemented
296#394C2×C418yescomplemented
297#394C2×C418yescomplemented
298#392C2×C418yescomplemented
299#392C2×C418yescomplemented
300#392C2×C418yescomplemented
301#392C2×C418yescomplemented
302#390—42no—
303#390—42no—
304#390—42no—
305#390—42no—
306#390—42no—
307#390—42no—
308#390—42no—
309#390C2×C418yescomplemented
310#390C2×C418yescomplemented
311#388—42no—
312#388—42no—
313#388—42no—
314#388—42no—
315#388—42no—
316#388—42no—
317#388—42no—
318#388—42no—
319#388—42no—
320#388—42no—
321#388—42no—
322#388—42no—
323#386—24no—
324#386—24no—
325#386—24no—
326#386—24no—
327#386—42no—
328#386—42no—
329#386—42no—
330#386—42no—
331#386—42no—
332#386—42no—
333#386—42no—
334#386—42no—
335#386—42no—
336#386—42no—
337#385—42no—
338#385—42no—
339#382C2×C418yescomplemented
340#380—24no—
341C4×C4⋊C4—42no—
342C4×C4⋊C4—42no—
343C4×C22⋊C4—24no—
344C4×C22⋊C4—42no—
345C4×C22⋊C4—42no—
346C4×C22⋊C4—42no—
347C4×C22⋊C4—42no—
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
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
412C25C2411yescharacteristic
413C25C2411yescharacteristic
414C25C2411yescharacteristic
415C25C2411yescharacteristic
416C25C2411yescharacteristic
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—22no—
425C22×D4—41no—
426C22×D4—41no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4—41no—
430C22×D4—41no—
431C22×D4—41no—
432C22×D4—41no—
433C22×D4—41no—
434C22×D4—41no—
435C22×D4—41no—
436C22×D4—41no—
437C22×D4—41no—
438C22×D4—41no—
439C22×D4—41no—
440C22×D4—41no—
441C22×D4—41no—
442C22×D4—41no—
443C22×D4—41no—
444C22×D4—41no—
445C22×D4—41no—
446C22×D4—41no—
447C22×D4—41no—
448C22×D4—41no—
449C22×D4—41no—
450C22×D4—41no—
451C22×D4—41no—
452C22×D4—41no—
453C22×D4—41no—
454C22×D4—41no—
455C22×D4—41no—
456C22×D4—41no—
457C22×D4—41no—
458C22×D4—41no—
459C22×D4—41no—
460C22×D4—41no—
461C22×D4—41no—
462C22×D4—41no—
463C22×D4—41no—
464C22×D4—41no—
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—41no—
474C22×D4—41no—
475C22×D4—41no—
476C22×D4—41no—
477C22×D4C22×C414yes—
478C22×D4C22×C414yes—
479C22×D4C22×C414yes—
480C22×D4C22×C414yes—
481C22×D4C22×C414yes—
482C22×D4C22×C414yes—
483C22×D4C22×C414yes—
484C22×D4C22×C414yes—
485C22×D4C22×C414yes—
486C22×D4C22×C414yes—
487C23×C4—22no—
488C23×C4—22no—
489C23×C4—22no—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
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×C4—41no—
510C23×C4—41no—
511C23×C4—41no—
512C23×C4—41no—
513C23×C4—41no—
514C23×C4—41no—
515C23×C4—41no—
516C23×C4—41no—
517C23×C4—41no—
518C23×C4—41no—
519C23×C4—41no—
520C23×C4—41no—
521C23×C4C22×C414yes—
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
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548#127—416no—
549#121—416no—
550#121—416no—
551C4×D4—416no—
552#117—416no—
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—41no—
566C2×C4⋊C4—41no—
567C2×C4⋊C4—41no—
568C2×C4⋊C4—41no—
569C2×C4⋊C4—41no—
570C2×C4⋊C4—41no—
571C2×C4⋊C4—41no—
572C2×C4⋊C4—41no—
573C2×C4⋊C4—41no—
574C2×C4⋊C4—41no—
575C2×C4⋊C4—41no—
576C2×C4⋊C4—41no—
577C2×C4⋊C4—41no—
578C2×C4⋊C4—41no—
579C2×C4⋊C4—41no—
580C2×C4⋊C4—41no—
581C2×C4⋊C4—41no—
582C2×C4⋊C4—41no—
583C2×C4⋊C4—41no—
584C2×C4⋊C4—41no—
585C2×C4⋊C4C22×C414yes—
586C2×C4⋊C4C22×C414yes—
587C2×C4⋊C4C22×C414yes—
588C2×C4⋊C4C22×C414yes—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—22no—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—22no—
618C2×C22⋊C4—22no—
619C2×C22⋊C4—22no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—22no—
622C2×C22⋊C4—22no—
623C2×C22⋊C4—22no—
624C2×C22⋊C4—22no—
625C2×C22⋊C4—22no—
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—41no—
634C2×C22⋊C4—41no—
635C2×C22⋊C4—41no—
636C2×C22⋊C4—41no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—41no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—41no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4—41no—
679C2×C22⋊C4—41no—
680C2×C22⋊C4—41no—
681C2×C22⋊C4—41no—
682C2×C22⋊C4—41no—
683C2×C22⋊C4—41no—
684C2×C22⋊C4—41no—
685C2×C22⋊C4—41no—
686C2×C22⋊C4—41no—
687C2×C22⋊C4—41no—
688C2×C22⋊C4—41no—
689C2×C22⋊C4—41no—
690C2×C22⋊C4—41no—
691C2×C22⋊C4—41no—
692C2×C22⋊C4—41no—
693C2×C22⋊C4—41no—
694C2×C22⋊C4—41no—
695C2×C22⋊C4—41no—
696C2×C22⋊C4—41no—
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⋊C4C22×C414yes—
726C2×C22⋊C4C22×C414yes—
727C2×C22⋊C4C22×C414yes—
728C2×C22⋊C4C22×C414yes—
729C2×C22⋊C4C22×C414yes—
730C2×C22⋊C4C22×C414yes—
731C2×C22⋊C4C22×C414yes—
732C2×C22⋊C4C22×C414yes—
733C2×C22⋊C4C22×C414yes—
734C2×C22⋊C4C22×C414yes—
735C2×C22⋊C4C22×C414yes—
736C2×C22⋊C4C22×C414yes—
737C2×C22⋊C4C22×C414yes—
738C2×C22⋊C4C22×C414yes—
739C2×C42—22no—
740C2×C42—22no—
741C2×C42—22no—
742C2×C42—22no—
743C2×C42—22no—
744C2×C42—22no—
745C2×C42—22no—
746C2×C42—22no—
747C2×C42—22no—
748C2×C42—22no—
749C2×C42—22no—
750C2×C42—22no—
751C2×C42—41no—
752C2×C42—41no—
753C2×C42—41no—
754C2×C42—41no—
755C2×C42—41no—
756C2×C42—41no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42—41no—
760C2×C42—41no—
761C2×C42—41no—
762C2×C42—41no—
763C2×C42—41no—
764C2×C42—41no—
765C2×C42—41no—
766C2×C42—41no—
767C2×C42—41no—
768C2×C42—41no—
769C2×C42—41no—
770C2×C42—41no—
771C2×C42—41no—
772C2×C42—41no—
773C2×C42—41no—
774C2×C42—41no—
775C2×C42—41no—
776C2×C42—41no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42C22×C414yes—
780C2×C42C22×C414yes—
781#95—22no—
782#95—22no—
783#95—22no—
784#95—22no—
785#95—22no—
786#95—22no—
787#95—22no—
788#95—22no—
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—41no—
804#95—41no—
805#95—41no—
806#95—41no—
807#95—41no—
808#95—41no—
809#95—41no—
810#95—41no—
811#95—41no—
812#95—41no—
813#95—41no—
814#95—41no—
815#95—41no—
816#95—41no—
817#95—41no—
818#95—41no—
819#95—41no—
820#95—41no—
821#95—41no—
822#95—41no—
823#95—41no—
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#95C22×C414yes—
840#95C22×C414yes—
841#95C22×C414yes—
842#95C22×C414yes—
843#95#4114yes—
844#95#4114yes—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
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—21no—
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—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24C23×C412yes—
916C24C23×C412yes—
917C24C23×C412yes—
918C24C23×C412yes—
919C24C23×C412yes—
920C24C2511yescharacteristic
921C2×D4—28no—
922C2×D4—28no—
923C2×D4—28no—
924C2×D4—28no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—44no—
929C2×D4—44no—
930C2×D4—44no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4—44no—
950C2×D4—44no—
951C2×D4—44no—
952C2×D4—44no—
953C2×D4—44no—
954C2×D4—44no—
955C2×D4—82no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—82no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—82no—
988C2×D4—82no—
989C2×D4—82no—
990C2×D4—82no—
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—28no—
1094C22×C4—28no—
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—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—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
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×C4—82no—
1177C22×C4—82no—
1178C22×C4—82no—
1179C22×C4—82no—
1180C22×C4—82no—
1181C22×C4—82no—
1182C22×C4—82no—
1183C22×C4—82no—
1184C22×C4C23×C412yes—
1185C22×C4C23×C412yes—
1186C22×C4C23×C412yes—
1187C22×C4C23×C412yes—
1188C22×C4C23×C412yes—
1189C22×C4C23×C412yes—
1190C22×C4C23×C412yes—
1191C22×C4C23×C412yes—
1192C22×C4C23×C412yes—
1193C22×C4C23×C412yes—
1194C22×C4C2×#4112yes—
1195C22×C4C2×#4112yes—
1196C22×C4C2×#4112yes—
1197C22×C4C2×#4112yes—
1198C22×C4C2×#4112yes—
1199C22×C4C2×#4112yes—
1200C22×C4H(5,𝔽2)12yes—
1201C22×C4H(5,𝔽2)12yes—
1202C22×C4H(5,𝔽2)12yes—
1203C22×C4H(5,𝔽2)12yes—
1204C22×C4H(5,𝔽2)12yes—
1205C22×C4H(5,𝔽2)12yes—
1206C22×C4H(5,𝔽2)12yes—
1207C22×C4H(5,𝔽2)12yes—
1208C4⋊C4—28no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—82no—
1216C4⋊C4—82no—
1217C4⋊C4—82no—
1218C4⋊C4—82no—
1219C4⋊C4—82no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
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—82no—
1243C22⋊C4—82no—
1244C22⋊C4—82no—
1245C22⋊C4—82no—
1246C22⋊C4—82no—
1247C22⋊C4—82no—
1248C22⋊C4—82no—
1249C22⋊C4—82no—
1250C22⋊C4—82no—
1251C22⋊C4—82no—
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—
1269C22⋊C4—82no—
1270C42—28no—
1271C42—44no—
1272C42—44no—
1273C42—44no—
1274C42—44no—
1275C42—82no—
1276C42—82no—
1277C42—82no—
1278C42—82no—
1279C42—82no—
1280C42—82no—
1281C42—82no—
1282C42—82no—
1283C42—82no—
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—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
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—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—
1459C23C24×C411yescharacteristic
1460C23C22×#4111yescharacteristic
1461C23C22×#4111yescharacteristic
1462C23C2×H(5,𝔽2)11yescharacteristic
1463C23C2×H(5,𝔽2)11yescharacteristic
1464C23C2×H(5,𝔽2)11yescharacteristic
1465C23C2×H(5,𝔽2)11yescharacteristic
1466C23C2×H(5,𝔽2)11yescharacteristic
1467C23C2×H(5,𝔽2)11yescharacteristic
1468C23C2×H(5,𝔽2)11yescharacteristic
1469C23C2×H(5,𝔽2)11yescharacteristic
1470C23#58511yescharacteristic
1471C23#58511yescharacteristic
1472C23#58511yescharacteristic
1473C23#58511yescharacteristic
1474D4—416no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
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—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—416no—
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—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—88no—
1667C2×C4—88no—
1668C2×C4C4×#4114yes—
1669C2×C4#51814yes—
1670C2×C4#51814yes—
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—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22C2×C4×#4111yescharacteristic
1747C22C2×#51811yescharacteristic
1748C22C2×#51811yescharacteristic
1749C22C4×H(5,𝔽2)11yescharacteristic
1750C22C4×H(5,𝔽2)11yescharacteristic
1751C22C4×H(5,𝔽2)11yescharacteristic
1752C22C4×H(5,𝔽2)11yescharacteristic
1753C22#349411yescharacteristic
1754C22#349411yescharacteristic
1755C22#350811yescharacteristic
1756C22#351211yescharacteristic
1757C22#351311yescharacteristic
1758C22#351711yescharacteristic
1759C22#351911yescharacteristic
1760C22#351911yescharacteristic
1761C22#351911yescharacteristic
1762C22#351911yescharacteristic
1763C22#351911yescharacteristic
1764C22#352411yescharacteristic
1765C22#353211yescharacteristic
1766C22#353311yescharacteristic
1767C22#353711yescharacteristic
1768C22#354011yescharacteristic
1769C22#354211yescharacteristic
1770C22#354211yescharacteristic
1771C22#354211yescharacteristic
1772C22#354211yescharacteristic
1773C22#354311yescharacteristic
1774C22#354611yescharacteristic
1775C22#354611yescharacteristic
1776C22#354611yescharacteristic
1777C22#354911yescharacteristic
1778C22#355111yescharacteristic
1779C22#355811yescharacteristic
1780C22#356211yescharacteristic
1781C4—24no—
1782C4—24no—
1783C4—24no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4—81no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C2—82no—
1808C2—82no—
1809C2—82no—
1810C2—82no—
1811C2—82no—
1812C2#3424611yescharacteristic
1813C2#3428011yescharacteristic
1814C2#3428711yescharacteristic
1815C2#3440611yescharacteristic
1816C2#3441111yescharacteristic
1817C2#3441511yescharacteristic
1818C2#3443811yescharacteristic
1819C2#4841511yescharacteristic
1820C2#4841711yescharacteristic
1821C2#4847911yescharacteristic
1822C2#4848111yescharacteristic
1823C2#4984211yescharacteristic
1824C2#4984811yescharacteristic
1825C2#4998611yescharacteristic
1826C2#4999211yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2619C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14567C2semidirect
3. #14567C2semidirect
4. #14566C2semidirect
5. #14540C2semidirect
6. #14533C2semidirect
7. #14520C2semidirect
8. #14520C2semidirect
9. #14520C2semidirect
10. #14455C2semidirect
11. #14419C2semidirect
12. #14361C2semidirect
13. #14361C2semidirect
14. #14278C2semidirect
15. #14228C2semidirect
16. #14227C2semidirect
17. #14201C2semidirect
18. #14201C2semidirect
19. #14199C2semidirect
20. #14187C2semidirect
21. #14182C2semidirect
22. #14176C2semidirect
23. #14157C2semidirect
24. #14106C2semidirect
25. #14100C2semidirect
26. #14100C2semidirect
27. #14025C2semidirect
28. #13943C2semidirect
29. #13832C2semidirect
30. #13801C2semidirect
31. #13791C2semidirect
37. #2619C4semidirect
210. C2×#121C2×C4semidirect
211. C2×#121C2×C4semidirect
217. C2×#117C2×C4semidirect
294. #394C2×C4semidirect
295. #394C2×C4semidirect
296. #394C2×C4semidirect
297. #394C2×C4semidirect
298. #392C2×C4semidirect
299. #392C2×C4semidirect
300. #392C2×C4semidirect
301. #392C2×C4semidirect
309. #390C2×C4semidirect
310. #390C2×C4semidirect
339. #382C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#26192
#145672
#145662
#145402
#145332
#145202
#144552
#144192
#143612
#142782
#142282
#142272
#142012
#141992
#141872
#141822
#141762
#141572
#141062
#141002
#140252
#139432
#138322
#138012
#137912