Finite Group Databasebeta

← #547022

Subgroups — #547022

Order 512.

4464 conjugacy classes of subgroups.

The subgroup lattice has 2067 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2410C211yesmaximal, characteristic
2#14651C211yesmaximal, characteristic, complemented
3#14645C211yesmaximal, characteristic, complemented
4#14617C211yesmaximal, characteristic, complemented
5#14539C211yesmaximal, characteristic, complemented
6#14533C211yesmaximal, characteristic, complemented
7#14520C211yesmaximal, characteristic, complemented
8#14516C211yesmaximal, characteristic, complemented
9#14417C211yesmaximal, characteristic, complemented
10#14375C211yesmaximal, characteristic, complemented
11#14363C211yesmaximal, characteristic, complemented
12#14311C211yesmaximal, characteristic, complemented
13#14303C211yesmaximal, characteristic, complemented
14#14290C211yesmaximal, characteristic, complemented
15#14267C211yesmaximal, characteristic, complemented
16#14265C211yesmaximal, characteristic, complemented
17#14134C211yesmaximal, characteristic, complemented
18#14100C211yesmaximal, characteristic, complemented
19#14040C211yesmaximal, characteristic, complemented
20#14020C211yesmaximal, characteristic, complemented
21#13995C211yesmaximal, characteristic, complemented
22#13991C211yesmaximal, characteristic, complemented
23#13984C211yesmaximal, characteristic, complemented
24#13967C211yesmaximal, characteristic, complemented
25#13967C211yesmaximal, characteristic, complemented
26#13869C211yesmaximal, characteristic, complemented
27#13867C211yesmaximal, characteristic, complemented
28C2×#1438C211yesmaximal, characteristic, complemented
29C22⋊C42C211yesmaximal, characteristic, complemented
30C22⋊C42C211yesmaximal, characteristic, complemented
31#13784C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44#2410C4116yescomplemented
45C2×#394C2211yescharacteristic
46C2×#394C2211yescharacteristic
47C2×#392C2211yescharacteristic
48C2×#392C2211yescharacteristic
49C2×#390C2211yescharacteristic, complemented
50C2×#390C2211yescharacteristic, complemented
51C2×#388C2211yescharacteristic, complemented
52C2×#388C2211yescharacteristic, complemented
53C2×#386C2211yescharacteristic
54C2×#386C2211yescharacteristic
55C2×#386C2211yescharacteristic
56C2×#386C2211yescharacteristic
57C2×#386C2211yescharacteristic
58C2×#386C2211yescharacteristic
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic, complemented
64C2×#386C2211yescharacteristic, complemented
65C2×#386C2211yescharacteristic, complemented
66C2×#386C2211yescharacteristic, complemented
67C2×#386C2211yescharacteristic, complemented
68C2×#386C2211yescharacteristic, complemented
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#381C2211yescharacteristic, complemented
72C2×#381C2211yescharacteristic, complemented
73C2×#379C2211yescharacteristic
74C2×#379C2211yescharacteristic
75C2×#379C2211yescharacteristic
76C2×#379C2211yescharacteristic
77C2×C4×C22⋊C4C2211yescharacteristic
78C2×C4×C22⋊C4C2211yescharacteristic
79C2×C4×C22⋊C4C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic, complemented
81C2×C4×C22⋊C4C2211yescharacteristic, complemented
82C2×C4×C22⋊C4C2211yescharacteristic, complemented
83C2×C4×C22⋊C4C2211yescharacteristic, complemented
84C22×#95C2211yescharacteristic
85C22×#95C2211yescharacteristic
86#1445C2211yescharacteristic, complemented
87#1445C2211yescharacteristic, complemented
88#1445C2211yescharacteristic, complemented
89#1445C2211yescharacteristic, complemented
90#1443C2211yescharacteristic, complemented
91#1443C2211yescharacteristic, complemented
92#1443C2211yescharacteristic, complemented
93#1443C2211yescharacteristic, complemented
94#1443C2211yescharacteristic, complemented
95#1443C2211yescharacteristic, complemented
96#1442C2211yescharacteristic, complemented
97#1442C2211yescharacteristic, complemented
98#1441C2211yescharacteristic, complemented
99#1441C2211yescharacteristic, complemented
100#1440C2211yescharacteristic, complemented
101#1440C2211yescharacteristic, complemented
102#1440C2211yescharacteristic, complemented
103#1440C2211yescharacteristic, complemented
104#1440C2211yescharacteristic, complemented
105#1440C2211yescharacteristic, complemented
106#1440C2211yescharacteristic, complemented
107#1440C2211yescharacteristic, complemented
108#1440C2211yescharacteristic, complemented
109#1440C2211yescharacteristic, complemented
110#1439C2211yescharacteristic, complemented
111#1439C2211yescharacteristic, complemented
112#1439C2211yescharacteristic, complemented
113#1439C2211yescharacteristic, complemented
114#1439C2211yescharacteristic, complemented
115#1439C2211yescharacteristic, complemented
116#1439C2211yescharacteristic, complemented
117#1439C2211yescharacteristic, complemented
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, complemented
131#1438C2211yescharacteristic, complemented
132#1438C2211yescharacteristic, complemented
133#1438C2211yescharacteristic, complemented
134#1438C2211yescharacteristic, complemented
135#1438C2211yescharacteristic, complemented
136#1438C2211yescharacteristic, complemented
137#1438C2211yescharacteristic, complemented
138#1437C2211yescharacteristic, complemented
139#1437C2211yescharacteristic, complemented
140#1437C2211yescharacteristic, complemented
141#1437C2211yescharacteristic, complemented
142#1437C2211yescharacteristic, complemented
143#1437C2211yescharacteristic, complemented
144#1437C2211yescharacteristic, complemented
145#1437C2211yescharacteristic, complemented
146#1437C2211yescharacteristic, complemented
147#1437C2211yescharacteristic, complemented
148#1437C2211yescharacteristic, complemented
149#1437C2211yescharacteristic, complemented
150#1437C2211yescharacteristic, complemented
151#1437C2211yescharacteristic, complemented
152#1437C2211yescharacteristic, complemented
153#1437C2211yescharacteristic, complemented
154#1437C2211yescharacteristic, complemented
155#1437C2211yescharacteristic, complemented
156#1437C2211yescharacteristic, complemented
157#1437C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1434C2211yescharacteristic, complemented
163#1434C2211yescharacteristic, complemented
164#1434C2211yescharacteristic, complemented
165#1434C2211yescharacteristic, complemented
166#1434C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168C22⋊#95C2211yescharacteristic
169C22⋊#95C2211yescharacteristic
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic, complemented
179C22⋊#95C2211yescharacteristic, complemented
180C22⋊#95C2211yescharacteristic, complemented
181C22⋊#95C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C26C2311yescharacteristic
189C26C2311yescharacteristic
190C23×D4—42no—
191C23×D4—42no—
192C23×D4—42no—
193C23×D4—42no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4C2×C418yescomplemented
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C2×#121—42no—
217C2×#121—42no—
218C2×#121—42no—
219C2×#121—42no—
220C2×#121C2×C418yescomplemented
221C2×#121C2×C418yescomplemented
222C2×#120—42no—
223C2×#120—42no—
224C2×#120—42no—
225C2×#120—42no—
226C2×#120C2×C418yes—
227C2×#120C2×C418yescomplemented
228C2×C4×D4—24no—
229C2×C4×D4—42no—
230C2×C4×D4—42no—
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C22⋊C4—24no—
237C22×C22⋊C4—24no—
238C22×C22⋊C4—24no—
239C22×C22⋊C4—42no—
240C22×C22⋊C4—42no—
241C22×C22⋊C4—42no—
242C22×C22⋊C4—42no—
243C22×C22⋊C4—42no—
244C22×C22⋊C4—42no—
245C22×C22⋊C4—42no—
246C22×C22⋊C4—42no—
247C22×C22⋊C4—42no—
248C22×C22⋊C4—42no—
249C22×C22⋊C4—42no—
250C22×C22⋊C4—42no—
251C22×C22⋊C4—42no—
252C22×C22⋊C4—42no—
253C22×C22⋊C4C2×C418yescomplemented
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×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317#394C2×C418yescomplemented
318#394C2×C418yescomplemented
319#392C2×C418yescomplemented
320#392C2×C418yescomplemented
321#390—42no—
322#390—42no—
323#388—42no—
324#388—42no—
325#386—24no—
326#386—42no—
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#386—42no—
338#386C2×C418yescomplemented
339#386C2×C418yescomplemented
340#386C2×C418yescomplemented
341#385—42no—
342#385C2×C418yescomplemented
343#381—42no—
344#381—42no—
345#379—24no—
346#379—42no—
347#379—42no—
348#379C2×C418yescomplemented
349C4×C22⋊C4—42no—
350C4×C22⋊C4—42no—
351C4×C22⋊C4—42no—
352C4×C22⋊C4—42no—
353C4×C22⋊C4—42no—
354C4×C22⋊C4—42no—
355C4×C22⋊C4—42no—
356C2×#95—42no—
357C2×#95—42no—
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
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C25—22no—
425C25—22no—
426C25—22no—
427C25—22no—
428C25—22no—
429C25—22no—
430C25—22no—
431C25—22no—
432C25—22no—
433C25—22no—
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—41no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25—41no—
452C25C22×C414yes—
453C25C22×C414yes—
454C25C2411yescharacteristic
455C25C2411yescharacteristic
456C25C2411yescharacteristic
457C25C2411yescharacteristic
458C25C2411yescharacteristic
459C25C2411yescharacteristic
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—416no—
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—416no—
516C22×D4—416no—
517C22×D4—416no—
518C22×D4—416no—
519C22×D4—416no—
520C22×D4—416no—
521C22×D4C22×C414yes—
522C22×D4C22×C414yes—
523C22×D4C22×C414yes—
524C22×D4C22×C414yes—
525C22×D4C22×C414yes—
526C22×D4C22×C414yes—
527C22×D4C22×C414yes—
528C22×D4C22×C414yes—
529C22×D4C22×C414yes—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—22no—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—22no—
539C23×C4—22no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—22no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—41no—
589C23×C4—41no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4C22×C414yes—
597C23×C4C22×C414yes—
598C23×C4C22×C414yes—
599C23×C4#4114yes—
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625#121—416no—
626#121—416no—
627#120—416no—
628#120—416no—
629C4×D4—416no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4C22×C414yes—
644C2×C4⋊C4C22×C414yes—
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—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—416no—
706C2×C22⋊C4—416no—
707C2×C22⋊C4—416no—
708C2×C22⋊C4—416no—
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—416no—
764C2×C22⋊C4—416no—
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⋊C4C22×C414yes—
804C2×C22⋊C4C22×C414yes—
805C2×C22⋊C4C22×C414yes—
806C2×C22⋊C4C22×C414yes—
807C2×C22⋊C4C22×C414yes—
808C2×C22⋊C4C22×C414yes—
809C2×C22⋊C4C22×C414yes—
810C2×C22⋊C4C22×C414yes—
811C2×C22⋊C4C22×C414yes—
812C2×C22⋊C4C22×C414yes—
813C2×C22⋊C4C22×C414yes—
814C2×C22⋊C4C22×C414yes—
815C2×C22⋊C4C22×C414yes—
816C2×C22⋊C4C22×C414yes—
817C2×C22⋊C4C22×C414yes—
818C2×C22⋊C4#4114yes—
819C2×C42—22no—
820C2×C42—22no—
821C2×C42—22no—
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×C42—41no—
833C2×C42—41no—
834C2×C42—41no—
835C2×C42—41no—
836C2×C42—41no—
837C2×C42—41no—
838C2×C42—41no—
839C2×C42—41no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—41no—
847#95—41no—
848#95—41no—
849#95—41no—
850#95—41no—
851#95—41no—
852#95—41no—
853#95—41no—
854#95—41no—
855#95—41no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
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#95—41no—
886#95—41no—
887#95—41no—
888#95—41no—
889#95—41no—
890#95—41no—
891#95—41no—
892#95—41no—
893#95—41no—
894#95—41no—
895#95—41no—
896#95—41no—
897#95—41no—
898#95—41no—
899#95—41no—
900#95—41no—
901#95—41no—
902#95C22×C414yes—
903#95C22×C414yes—
904#95C22×C414yes—
905#95C22×C414yes—
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—28no—
939C24—28no—
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—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—28no—
983C24—28no—
984C24—28no—
985C24—28no—
986C24—28no—
987C24—28no—
988C24—44no—
989C24—44no—
990C24—44no—
991C24—44no—
992C24—44no—
993C24—44no—
994C24—44no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—44no—
1012C24—44no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—82no—
1027C24—82no—
1028C24—82no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24—82no—
1042C24—82no—
1043C24—82no—
1044C24—82no—
1045C24—82no—
1046C24—82no—
1047C24—82no—
1048C24—82no—
1049C24—82no—
1050C24C23×C412yes—
1051C24C23×C412yes—
1052C24C23×C412yes—
1053C24C23×C412yes—
1054C24C23×C412yes—
1055C24C23×C412yes—
1056C24C2×#4112yes—
1057C24C2×#4112yes—
1058C24H(5,𝔽2)12yes—
1059C24H(5,𝔽2)12yes—
1060C24H(5,𝔽2)12yes—
1061C24H(5,𝔽2)12yes—
1062C24H(5,𝔽2)12yes—
1063C24H(5,𝔽2)12yes—
1064C24H(5,𝔽2)12yes—
1065C24H(5,𝔽2)12yes—
1066C24C2511yescharacteristic
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—4128no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C22×C4—28no—
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—28no—
1223C22×C4—28no—
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—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
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—82no—
1324C22×C4—82no—
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×C4C23×C412yes—
1362C22×C4C23×C412yes—
1363C22×C4C23×C412yes—
1364C22×C4C23×C412yes—
1365C22×C4C23×C412yes—
1366C22×C4C23×C412yes—
1367C22×C4C23×C412yes—
1368C22×C4C23×C412yes—
1369C22×C4C23×C412yes—
1370C22×C4C2×#4112yes—
1371C22×C4C2×#4112yes—
1372C22×C4C2×#4112yes—
1373C22×C4C2×#4112yes—
1374C22×C4H(5,𝔽2)12yes—
1375C22×C4H(5,𝔽2)12yes—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—82no—
1380C4⋊C4—82no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—82no—
1422C22⋊C4—82no—
1423C22⋊C4—82no—
1424C22⋊C4—82no—
1425C22⋊C4—82no—
1426C22⋊C4—82no—
1427C22⋊C4—82no—
1428C22⋊C4—82no—
1429C22⋊C4—82no—
1430C22⋊C4—82no—
1431C22⋊C4—82no—
1432C22⋊C4—82no—
1433C22⋊C4—82no—
1434C22⋊C4—82no—
1435C22⋊C4—82no—
1436C22⋊C4—82no—
1437C42—44no—
1438C42—82no—
1439C42—82no—
1440C42—82no—
1441C42—82no—
1442C42—82no—
1443C42—82no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—416no—
1530C23—416no—
1531C23—416no—
1532C23—416no—
1533C23—416no—
1534C23—416no—
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—416no—
1568C23—416no—
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—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—88no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—88no—
1666C23—88no—
1667C23—88no—
1668C23—88no—
1669C23—88no—
1670C23—88no—
1671C23—88no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23C4×#4114yes—
1676C23#51814yes—
1677C23#51814yes—
1678C23#51814yes—
1679C23#51814yes—
1680C23#53814yes—
1681C23#53814yes—
1682C23#54014yes—
1683C23#54014yes—
1684C23C24×C411yescharacteristic
1685C23C22×#4111yescharacteristic
1686C23C22×#4111yescharacteristic
1687C23C2×H(5,𝔽2)11yescharacteristic
1688C23C2×H(5,𝔽2)11yescharacteristic
1689C23C2×H(5,𝔽2)11yescharacteristic
1690C23C2×H(5,𝔽2)11yescharacteristic
1691C23C2×H(5,𝔽2)11yescharacteristic
1692C23C2×H(5,𝔽2)11yescharacteristic
1693C23C2×H(5,𝔽2)11yescharacteristic
1694C23C2×H(5,𝔽2)11yescharacteristic
1695C23C2×H(5,𝔽2)11yescharacteristic
1696C23C2×H(5,𝔽2)11yescharacteristic
1697C23#58511yescharacteristic
1698C23#58511yescharacteristic
1699D4—416no—
1700D4—416no—
1701D4—416no—
1702D4—416no—
1703D4—416no—
1704D4—88no—
1705D4—88no—
1706D4—88no—
1707D4—88no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—416no—
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—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—88no—
1885C2×C4—88no—
1886C2×C4—88no—
1887C2×C4—88no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—88no—
1891C2×C4—88no—
1892C2×C4—88no—
1893C22—24no—
1894C22—24no—
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—24no—
1899C22—24no—
1900C22—24no—
1901C22—24no—
1902C22—24no—
1903C22—24no—
1904C22—24no—
1905C22—24no—
1906C22—24no—
1907C22—24no—
1908C22—24no—
1909C22—24no—
1910C22—24no—
1911C22—24no—
1912C22—24no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—832no—
1959C22—832no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22—81no—
1968C22—81no—
1969C22—81no—
1970C22—81no—
1971C22—81no—
1972C22—81no—
1973C22—81no—
1974C22—81no—
1975C22—81no—
1976C22—81no—
1977C22—81no—
1978C22—81no—
1979C22—81no—
1980C22—81no—
1981C22—81no—
1982C22—81no—
1983C22—81no—
1984C22#233318yes—
1985C22C2×C4×#4111yescharacteristic
1986C22C2×#51811yescharacteristic
1987C22C2×#51811yescharacteristic
1988C22C2×#51811yescharacteristic
1989C22C2×#51811yescharacteristic
1990C22C4×H(5,𝔽2)11yescharacteristic
1991C22C4×H(5,𝔽2)11yescharacteristic
1992C22C2×#53811yescharacteristic
1993C22C2×#53811yescharacteristic
1994C22C2×#54011yescharacteristic
1995C22C2×#54011yescharacteristic
1996C22#349011yescharacteristic
1997C22#349011yescharacteristic
1998C22#349411yescharacteristic
1999C22#349411yescharacteristic
2000C22#351311yescharacteristic
2001C22#351311yescharacteristic
2002C22#351911yescharacteristic
2003C22#351911yescharacteristic
2004C22#353211yescharacteristic
2005C22#353211yescharacteristic
2006C22#353211yescharacteristic
2007C22#353211yescharacteristic
2008C22#353211yescharacteristic
2009C22#353211yescharacteristic
2010C22#353411yescharacteristic
2011C22#353411yescharacteristic
2012C22#353411yescharacteristic
2013C22#353411yescharacteristic
2014C22#353411yescharacteristic
2015C22#353411yescharacteristic
2016C22#353711yescharacteristic
2017C22#353711yescharacteristic
2018C22#354311yescharacteristic
2019C22#354511yescharacteristic
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—81no—
2036C4—81no—
2037C4—81no—
2038C4—81no—
2039C4—81no—
2040C4—81no—
2041C4—81no—
2042C4—81no—
2043C4—81no—
2044C4—81no—
2045C2—28no—
2046C2—44no—
2047C2—44no—
2048C2—82no—
2049C2—82no—
2050C2—82no—
2051C2C2×#233311yescharacteristic
2052C2#3430211yescharacteristic
2053C2#3430211yescharacteristic
2054C2#3435611yescharacteristic
2055C2#3440811yescharacteristic
2056C2#3446811yescharacteristic
2057C2#3446811yescharacteristic
2058C2#4064011yescharacteristic
2059C2#4064211yescharacteristic
2060C2#4064211yescharacteristic
2061C2#4072511yescharacteristic
2062C2#4073011yescharacteristic
2063C2#4078311yescharacteristic
2064C2#4081011yescharacteristic
2065C2#4201111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14651C2semidirect
3. #14645C2semidirect
4. #14617C2semidirect
5. #14539C2semidirect
6. #14533C2semidirect
7. #14520C2semidirect
8. #14516C2semidirect
9. #14417C2semidirect
10. #14375C2semidirect
11. #14363C2semidirect
12. #14311C2semidirect
13. #14303C2semidirect
14. #14290C2semidirect
15. #14267C2semidirect
16. #14265C2semidirect
17. #14134C2semidirect
18. #14100C2semidirect
19. #14040C2semidirect
20. #14020C2semidirect
21. #13995C2semidirect
22. #13991C2semidirect
23. #13984C2semidirect
24. #13967C2semidirect
25. #13967C2semidirect
26. #13869C2semidirect
27. #13867C2semidirect
28. C2×#1438C2semidirect
29. C22⋊C42C2semidirect
30. C22⋊C42C2semidirect
31. #13784C2semidirect
44. #2410C4semidirect
49. C2×#390C22semidirect
50. C2×#390C22semidirect
51. C2×#388C22semidirect
52. C2×#388C22semidirect
63. C2×#386C22semidirect
64. C2×#386C22semidirect
65. C2×#386C22semidirect
66. C2×#386C22semidirect
67. C2×#386C22semidirect
68. C2×#386C22semidirect
71. C2×#381C22semidirect
72. C2×#381C22semidirect
80. C2×C4×C22⋊C4C22semidirect
81. C2×C4×C22⋊C4C22semidirect
82. C2×C4×C22⋊C4C22semidirect
83. C2×C4×C22⋊C4C22semidirect
86. #1445C22semidirect
87. #1445C22semidirect
88. #1445C22semidirect
89. #1445C22semidirect
90. #1443C22semidirect
91. #1443C22semidirect
92. #1443C22semidirect
93. #1443C22semidirect
94. #1443C22semidirect
95. #1443C22semidirect
96. #1442C22semidirect
97. #1442C22semidirect
98. #1441C22semidirect
99. #1441C22semidirect
100. #1440C22semidirect
101. #1440C22semidirect
102. #1440C22semidirect
103. #1440C22semidirect
104. #1440C22semidirect
105. #1440C22semidirect
106. #1440C22semidirect
107. #1440C22semidirect
108. #1440C22semidirect
109. #1440C22semidirect
110. #1439C22semidirect
111. #1439C22semidirect
112. #1439C22semidirect
113. #1439C22semidirect
114. #1439C22semidirect
115. #1439C22semidirect
116. #1439C22semidirect
117. #1439C22semidirect
130. #1438C22semidirect
131. #1438C22semidirect
132. #1438C22semidirect
133. #1438C22semidirect
134. #1438C22semidirect
135. #1438C22semidirect
136. #1438C22semidirect
137. #1438C22semidirect
138. #1437C22semidirect
139. #1437C22semidirect
140. #1437C22semidirect
141. #1437C22semidirect
142. #1437C22semidirect
143. #1437C22semidirect
144. #1437C22semidirect
145. #1437C22semidirect
146. #1437C22semidirect
147. #1437C22semidirect
148. #1437C22semidirect
149. #1437C22semidirect
150. #1437C22semidirect
151. #1437C22semidirect
152. #1437C22semidirect
153. #1437C22semidirect
154. #1437C22semidirect
155. #1437C22semidirect
156. #1437C22semidirect
157. #1437C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1434C22semidirect
163. #1434C22semidirect
164. #1434C22semidirect
165. #1434C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
178. C22⋊#95C22semidirect
179. C22⋊#95C22semidirect
180. C22⋊#95C22semidirect
181. C22⋊#95C22semidirect
182. C22⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
196. C23×D4C2×C4semidirect
220. C2×#121C2×C4semidirect
221. C2×#121C2×C4semidirect
227. C2×#120C2×C4semidirect
253. C22×C22⋊C4C2×C4semidirect
317. #394C2×C4semidirect
318. #394C2×C4semidirect
319. #392C2×C4semidirect
320. #392C2×C4semidirect
338. #386C2×C4semidirect
339. #386C2×C4semidirect
340. #386C2×C4semidirect
342. #385C2×C4semidirect
348. #379C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#24102
#146512
#146452
#146172
#145392
#145332
#145202
#145162
#144172
#143752
#143632
#143112
#143032
#142902
#142672
#142652
#141342
#141002
#140402
#140202
#139952
#139912
#139842
#139672
#138692
#138672
C2×#14382
C22⋊C422
#137842