Finite Group Databasebeta

← #2813860

Subgroups — #2813860

Order 512.

4342 conjugacy classes of subgroups.

The subgroup lattice has 2180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2405C211yesmaximal, characteristic, complemented
2C2×#2456C211yesmaximal, characteristic, complemented
3#16654C211yesmaximal, characteristic, complemented
4#16654C211yesmaximal, characteristic, complemented
5#16446C211yesmaximal, characteristic, complemented
6#16373C211yesmaximal, characteristic, complemented
7#16284C211yesmaximal, characteristic, complemented
8#16272C211yesmaximal, characteristic, complemented
9#15997C211yesmaximal, characteristic, complemented
10#15948C211yesmaximal, characteristic, complemented
11#15667C211yesmaximal, characteristic, complemented
12#15611C211yesmaximal, characteristic, complemented
13#15461C211yesmaximal, characteristic, complemented
14#15423C211yesmaximal, characteristic, complemented
15#15415C211yesmaximal, characteristic, complemented
16#15412C211yesmaximal, characteristic, complemented
17#15320C211yesmaximal, characteristic, complemented
18#15297C211yesmaximal, characteristic, complemented
19#15267C211yesmaximal, characteristic, complemented
20#15257C211yesmaximal, characteristic, complemented
21#15159C211yesmaximal, characteristic, complemented
22#15159C211yesmaximal, characteristic, complemented
23#14715C211yesmaximal, characteristic, complemented
24#14715C211yesmaximal, characteristic, complemented
25#14519C211yesmaximal, characteristic, complemented
26#14516C211yesmaximal, characteristic, complemented
27#14438C211yesmaximal, characteristic, complemented
28#14365C211yesmaximal, characteristic, complemented
29#14358C211yesmaximal, characteristic, complemented
30#13967C211yesmaximal, characteristic, complemented
31#13967C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic, complemented
36C22×#121C2211yescharacteristic, complemented
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic, complemented
42C22×C4×D4C2211yescharacteristic, complemented
43C23×C22⋊C4C2211yescharacteristic
44#2456—28no—
45#2405—28no—
46C2×#400C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic, complemented
48C2×#396C2211yescharacteristic, complemented
49C2×#394C2211yescharacteristic
50C2×#394C2211yescharacteristic
51C2×#394C2211yescharacteristic
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic, complemented
54C2×#394C2211yescharacteristic, complemented
55C2×#392C2211yescharacteristic
56C2×#392C2211yescharacteristic
57C2×#392C2211yescharacteristic
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64C2×#392C2211yescharacteristic, complemented
65C2×#392C2211yescharacteristic, complemented
66C2×#392C2211yescharacteristic, complemented
67C2×#390C2211yescharacteristic
68C2×#390C2211yescharacteristic, complemented
69C2×#390C2211yescharacteristic, complemented
70C2×#390C2211yescharacteristic, complemented
71C2×#388C2211yescharacteristic, complemented
72C2×#388C2211yescharacteristic, complemented
73C2×#388C2211yescharacteristic, complemented
74C2×#388C2211yescharacteristic, complemented
75C2×#388C2211yescharacteristic, complemented
76C2×#388C2211yescharacteristic, complemented
77C2×#387C2211yescharacteristic, complemented
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic, complemented
85C2×#386C2211yescharacteristic, complemented
86C2×#386C2211yescharacteristic, complemented
87C2×#386C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic, complemented
89C2×#386C2211yescharacteristic, complemented
90C2×#386C2211yescharacteristic, complemented
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic, complemented
94C2×#379C2211yescharacteristic
95C2×#379C2211yescharacteristic
96C2×#379C2211yescharacteristic
97C2×#379C2211yescharacteristic
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101#1445C2211yescharacteristic, complemented
102#1443C2211yescharacteristic, complemented
103#1443C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1441C2211yescharacteristic, complemented
109#1441C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1440C2211yescharacteristic, complemented
113#1440C2211yescharacteristic, complemented
114#1440C2211yescharacteristic, complemented
115#1440C2211yescharacteristic, complemented
116#1440C2211yescharacteristic, complemented
117#1440C2211yescharacteristic, complemented
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1440C2211yescharacteristic, complemented
121#1440C2211yescharacteristic, complemented
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic, complemented
129#1439C2211yescharacteristic, complemented
130#1439C2211yescharacteristic, complemented
131#1439C2211yescharacteristic, complemented
132#1439C2211yescharacteristic, complemented
133#1439C2211yescharacteristic, complemented
134#1439C2211yescharacteristic, complemented
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1438C2211yescharacteristic
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic, complemented
156#1438C2211yescharacteristic, complemented
157#1438C2211yescharacteristic, complemented
158#1438C2211yescharacteristic, complemented
159#1438C2211yescharacteristic, complemented
160#1438C2211yescharacteristic, complemented
161#1438C2211yescharacteristic, complemented
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176C4⋊#95C2211yescharacteristic, complemented
177#1434C2211yescharacteristic, complemented
178#1434C2211yescharacteristic, complemented
179#1434C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C26C2311yescharacteristic
191C23×D4—24no—
192C23×D4—42no—
193C23×D4—42no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C24×C4C2311yescharacteristic
218C2×#123—24no—
219C2×#123—24no—
220C2×#123—24no—
221C2×#123—42no—
222C2×#123—42no—
223C2×#123—42no—
224C2×#123—42no—
225C2×#123—42no—
226C2×#123—42no—
227C2×#121—24no—
228C2×#121—42no—
229C2×#121—42no—
230C2×#120—24no—
231C2×#120—24no—
232C2×#120—24no—
233C2×#120—42no—
234C2×#120—42no—
235C2×#120—42no—
236C2×#120—42no—
237C2×#120—42no—
238C2×#120—42no—
239C2×#120—42no—
240C2×#120—42no—
241C2×#120—42no—
242C2×C4×D4—24no—
243C2×C4×D4—24no—
244C2×C4×D4—42no—
245C2×C4×D4—42no—
246C2×C4×D4—42no—
247C2×C4×D4—42no—
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C22⋊C4—24no—
260C22×C22⋊C4—42no—
261C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330#400—42no—
331#397—42no—
332#396—24no—
333#394—24no—
334#394—24no—
335#394—24no—
336#394—24no—
337#394—42no—
338#394—42no—
339#392—24no—
340#392—24no—
341#392—24no—
342#392—24no—
343#392—42no—
344#392—42no—
345#392—42no—
346#392—42no—
347#392—42no—
348#392—42no—
349#392—42no—
350#392—42no—
351#390—24no—
352#390—24no—
353#390—42no—
354#390—42no—
355#388—24no—
356#388—24no—
357#388—42no—
358#388—42no—
359#388—42no—
360#388—42no—
361#387—24no—
362#386—24no—
363#386—24no—
364#386—42no—
365#386—42no—
366#386—42no—
367#386—42no—
368#386—42no—
369#386—42no—
370#386—42no—
371#386—42no—
372#386—42no—
373#386—42no—
374#386D418yescomplemented
375#385—24no—
376#385—24no—
377#385—24no—
378#379—24no—
379#379—24no—
380#379—24no—
381#379—24no—
382#379—42no—
383#379—42no—
384#379—42no—
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
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C25—22no—
440C25—22no—
441C25—22no—
442C25—22no—
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—22no—
448C25—22no—
449C25—22no—
450C25—22no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25—41no—
458C25—41no—
459C25—41no—
460C25—41no—
461C25—41no—
462C25—41no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25C2411yescharacteristic
470C25C2411yescharacteristic
471C25C2411yescharacteristic
472C25C2411yescharacteristic
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—416no—
580C22×D4—416no—
581C22×D4—416no—
582C22×D4—416no—
583C22×D4—416no—
584C22×D4—416no—
585C22×D4—416no—
586C22×D4C2×D414yes—
587C22×D4#4114yes—
588C23×C4—22no—
589C23×C4—22no—
590C23×C4—22no—
591C23×C4—22no—
592C23×C4—22no—
593C23×C4—22no—
594C23×C4—22no—
595C23×C4—22no—
596C23×C4—22no—
597C23×C4—22no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4—41no—
602C23×C4—41no—
603C23×C4—41no—
604C23×C4—41no—
605C23×C4—41no—
606C23×C4—41no—
607C23×C4—41no—
608C23×C4—41no—
609C23×C4—41no—
610C23×C4—41no—
611C23×C4—41no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4C2×D414yes—
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647#123—416no—
648#123—416no—
649#123—416no—
650#121—416no—
651#120—416no—
652#120—416no—
653#120—416no—
654#120—416no—
655C4×D4—416no—
656C4×D4—416no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—22no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—22no—
672C2×C4⋊C4—22no—
673C2×C4⋊C4—22no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
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—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—416no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4C2×D414yes—
880C2×C22⋊C4C2×D414yes—
881C2×C22⋊C4C2×D414yes—
882C2×C22⋊C4#4114yes—
883C2×C42—22no—
884C2×C42—22no—
885C2×C42—22no—
886C2×C42—22no—
887C2×C42—22no—
888C2×C42—41no—
889C2×C42—41no—
890C2×C42—41no—
891C2×C42—41no—
892C2×C42—41no—
893C2×C42—41no—
894C2×C42—41no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95—41no—
915#95—41no—
916#95—41no—
917#95—41no—
918#95—41no—
919#95—41no—
920#95—41no—
921#95—41no—
922#95—41no—
923#95—41no—
924#95—41no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95—41no—
929#95—41no—
930#95—41no—
931#95—41no—
932#95—41no—
933#95—41no—
934#95—41no—
935#95—41no—
936#95—41no—
937#95—41no—
938#95—41no—
939#95—41no—
940#95—41no—
941#95—41no—
942#95—41no—
943#95—41no—
944#95—41no—
945#95—41no—
946#95—41no—
947#95C2×D414yes—
948#95C2×D414yes—
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—28no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—82no—
1074C24—82no—
1075C24—82no—
1076C24—82no—
1077C24—82no—
1078C24—82no—
1079C24—82no—
1080C24—82no—
1081C24—82no—
1082C24—82no—
1083C24—82no—
1084C24—82no—
1085C24—82no—
1086C24—82no—
1087C24—82no—
1088C24—82no—
1089C24—82no—
1090C24—82no—
1091C24—82no—
1092C24—82no—
1093C24—82no—
1094C24—82no—
1095C24—82no—
1096C24—82no—
1097C24—82no—
1098C24—82no—
1099C24—82no—
1100C24—82no—
1101C24—82no—
1102C24—82no—
1103C24—82no—
1104C24—82no—
1105C24—82no—
1106C24—82no—
1107C24—82no—
1108C24—82no—
1109C24—82no—
1110C24—82no—
1111C24—82no—
1112C24—82no—
1113C24C22×D412yes—
1114C24C22×D412yes—
1115C24C2×#4112yes—
1116C24C2×#4112yes—
1117C24C2×#4112yes—
1118C24H(5,𝔽2)12yes—
1119C24H(5,𝔽2)12yes—
1120C24H(5,𝔽2)12yes—
1121C24H(5,𝔽2)12yes—
1122C24H(5,𝔽2)12yes—
1123C24H(5,𝔽2)12yes—
1124C24C2511yescharacteristic
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—4128no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—82no—
1194C2×D4—82no—
1195C2×D4—82no—
1196C2×D4—82no—
1197C2×D4—82no—
1198C2×D4—82no—
1199C2×D4—82no—
1200C2×D4—82no—
1201C2×D4—82no—
1202C2×D4—82no—
1203C2×D4—82no—
1204C2×D4—82no—
1205C2×D4—82no—
1206C2×D4—82no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
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—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—44no—
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—82no—
1405C22×C4—82no—
1406C22×C4—82no—
1407C22×C4—82no—
1408C22×C4—82no—
1409C22×C4—82no—
1410C22×C4—82no—
1411C22×C4—82no—
1412C22×C4—82no—
1413C22×C4—82no—
1414C22×C4—82no—
1415C22×C4—82no—
1416C22×C4—82no—
1417C22×C4—82no—
1418C22×C4—82no—
1419C22×C4—82no—
1420C22×C4—82no—
1421C22×C4—82no—
1422C22×C4C22×D412yes—
1423C22×C4C22×D412yes—
1424C22×C4C22×D412yes—
1425C22×C4C22×D412yes—
1426C22×C4C22×D412yes—
1427C22×C4C2×#4112yes—
1428C22×C4C2×#4112yes—
1429C22×C4C2×#4112yes—
1430C22×C4H(5,𝔽2)12yes—
1431C22×C4H(5,𝔽2)12yes—
1432C22×C4H(5,𝔽2)12yes—
1433C22×C4H(5,𝔽2)12yes—
1434C4⋊C4—28no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—82no—
1443C4⋊C4—82no—
1444C4⋊C4—82no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—82no—
1482C22⋊C4—82no—
1483C22⋊C4—82no—
1484C22⋊C4—82no—
1485C22⋊C4—82no—
1486C22⋊C4—82no—
1487C22⋊C4—82no—
1488C22⋊C4—82no—
1489C22⋊C4—82no—
1490C22⋊C4—82no—
1491C22⋊C4—82no—
1492C22⋊C4—82no—
1493C22⋊C4—82no—
1494C22⋊C4—82no—
1495C22⋊C4—82no—
1496C22⋊C4—82no—
1497C22⋊C4—82no—
1498C22⋊C4—82no—
1499C22⋊C4—82no—
1500C22⋊C4—82no—
1501C22⋊C4—82no—
1502C22⋊C4—82no—
1503C22⋊C4—82no—
1504C22⋊C4—82no—
1505C22⋊C4—82no—
1506C22⋊C4—82no—
1507C22⋊C4—82no—
1508C22⋊C4—82no—
1509C42—44no—
1510C42—44no—
1511C42—82no—
1512C42—82no—
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—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—416no—
1585C23—416no—
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—416no—
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—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—88no—
1768C23—88no—
1769C23—88no—
1770C23—88no—
1771C23—88no—
1772C23—88no—
1773C23—88no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23—88no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23#53514yes—
1787C23#55314yes—
1788C23C23×D411yescharacteristic
1789C23C22×#4111yescharacteristic
1790C23C22×#4111yescharacteristic
1791C23C2×H(5,𝔽2)11yescharacteristic
1792C23C2×H(5,𝔽2)11yescharacteristic
1793C23C2×H(5,𝔽2)11yescharacteristic
1794C23C2×H(5,𝔽2)11yescharacteristic
1795C23C2×H(5,𝔽2)11yescharacteristic
1796C23C2×H(5,𝔽2)11yescharacteristic
1797C23C2×H(5,𝔽2)11yescharacteristic
1798C23C2×H(5,𝔽2)11yescharacteristic
1799C23C2×H(5,𝔽2)11yescharacteristic
1800C23C2×H(5,𝔽2)11yescharacteristic
1801C23#58511yescharacteristic
1802C23#58511yescharacteristic
1803D4—416no—
1804D4—416no—
1805D4—416no—
1806D4—416no—
1807D4—416no—
1808D4—416no—
1809D4—88no—
1810D4—88no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—88no—
1816D4—88no—
1817D4—88no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—416no—
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—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—88no—
1988C2×C4—88no—
1989C2×C4—88no—
1990C2×C4—88no—
1991C22—24no—
1992C22—24no—
1993C22—24no—
1994C22—24no—
1995C22—24no—
1996C22—24no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—832no—
2057C22—832no—
2058C22—81no—
2059C22—81no—
2060C22—81no—
2061C22—81no—
2062C22—81no—
2063C22—81no—
2064C22—81no—
2065C22—81no—
2066C22—81no—
2067C22—81no—
2068C22—81no—
2069C22—81no—
2070C22—81no—
2071C22—81no—
2072C22—81no—
2073C22—81no—
2074C22—81no—
2075C22—81no—
2076C22—81no—
2077C22—81no—
2078C22—81no—
2079C22—81no—
2080C22—81no—
2081C22—81no—
2082C22—81no—
2083C22—81no—
2084C22—81no—
2085C22—81no—
2086C22—81no—
2087C22—81no—
2088C22—81no—
2089C22—81no—
2090C22—81no—
2091C22—81no—
2092C22—81no—
2093C22—81no—
2094C22—81no—
2095C22—81no—
2096C22—81no—
2097C22—81no—
2098C22C2×#53511yescharacteristic
2099C22D4×#4111yescharacteristic
2100C22D4×#4111yescharacteristic
2101C22C2×#55311yescharacteristic
2102C22#348411yescharacteristic
2103C22#348411yescharacteristic
2104C22#348411yescharacteristic
2105C22#348411yescharacteristic
2106C22#349011yescharacteristic
2107C22#349011yescharacteristic
2108C22#349011yescharacteristic
2109C22#350811yescharacteristic
2110C22#351311yescharacteristic
2111C22#351311yescharacteristic
2112C22#351911yescharacteristic
2113C22#351911yescharacteristic
2114C22#351911yescharacteristic
2115C22#351911yescharacteristic
2116C22#353211yescharacteristic
2117C22#353211yescharacteristic
2118C22#353211yescharacteristic
2119C22#353211yescharacteristic
2120C22#353211yescharacteristic
2121C22#353311yescharacteristic
2122C22#353411yescharacteristic
2123C22#353411yescharacteristic
2124C22#353411yescharacteristic
2125C22#353711yescharacteristic
2126C22#353711yescharacteristic
2127C22#354211yescharacteristic
2128C22#354211yescharacteristic
2129C22#354211yescharacteristic
2130C22#354311yescharacteristic
2131C22#354611yescharacteristic
2132C22#355811yescharacteristic
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—81no—
2146C4—81no—
2147C4—81no—
2148C4—81no—
2149C4—81no—
2150C4—81no—
2151C4—81no—
2152C4—81no—
2153C4—81no—
2154C4—81no—
2155C4—81no—
2156C4—81no—
2157C2—44no—
2158C2—44no—
2159C2—82no—
2160C2—82no—
2161C2—82no—
2162C2—82no—
2163C2—82no—
2164C2#3670311yescharacteristic
2165C2#3835811yescharacteristic
2166C2#3835811yescharacteristic
2167C2#4311311yescharacteristic
2168C2#4311811yescharacteristic
2169C2#4317311yescharacteristic
2170C2#4396411yescharacteristic
2171C2#4782711yescharacteristic
2172C2#4825811yescharacteristic
2173C2#4848711yescharacteristic
2174C2#4856311yescharacteristic
2175C2#5193711yescharacteristic
2176C2#5482211yescharacteristic
2177C2#5511511yescharacteristic
2178C2#5919011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2405C2semidirect
2. C2×#2456C2semidirect
3. #16654C2semidirect
4. #16654C2semidirect
5. #16446C2semidirect
6. #16373C2semidirect
7. #16284C2semidirect
8. #16272C2semidirect
9. #15997C2semidirect
10. #15948C2semidirect
11. #15667C2semidirect
12. #15611C2semidirect
13. #15461C2semidirect
14. #15423C2semidirect
15. #15415C2semidirect
16. #15412C2semidirect
17. #15320C2semidirect
18. #15297C2semidirect
19. #15267C2semidirect
20. #15257C2semidirect
21. #15159C2semidirect
22. #15159C2semidirect
23. #14715C2semidirect
24. #14715C2semidirect
25. #14519C2semidirect
26. #14516C2semidirect
27. #14438C2semidirect
28. #14365C2semidirect
29. #14358C2semidirect
30. #13967C2semidirect
31. #13967C2semidirect
35. C22×#123C22semidirect
36. C22×#121C22semidirect
41. C22×C4×D4C22semidirect
42. C22×C4×D4C22semidirect
46. C2×#400C22semidirect
47. C2×#397C22semidirect
48. C2×#396C22semidirect
53. C2×#394C22semidirect
54. C2×#394C22semidirect
64. C2×#392C22semidirect
65. C2×#392C22semidirect
66. C2×#392C22semidirect
68. C2×#390C22semidirect
69. C2×#390C22semidirect
70. C2×#390C22semidirect
71. C2×#388C22semidirect
72. C2×#388C22semidirect
73. C2×#388C22semidirect
74. C2×#388C22semidirect
75. C2×#388C22semidirect
76. C2×#388C22semidirect
77. C2×#387C22semidirect
84. C2×#386C22semidirect
85. C2×#386C22semidirect
86. C2×#386C22semidirect
87. C2×#386C22semidirect
88. C2×#386C22semidirect
89. C2×#386C22semidirect
90. C2×#386C22semidirect
93. C2×#385C22semidirect
101. #1445C22semidirect
102. #1443C22semidirect
103. #1443C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1442C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1440C22semidirect
113. #1440C22semidirect
114. #1440C22semidirect
115. #1440C22semidirect
116. #1440C22semidirect
117. #1440C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
120. #1440C22semidirect
121. #1440C22semidirect
128. #1439C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
155. #1438C22semidirect
156. #1438C22semidirect
157. #1438C22semidirect
158. #1438C22semidirect
159. #1438C22semidirect
160. #1438C22semidirect
161. #1438C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. C4⋊#95C22semidirect
177. #1434C22semidirect
178. #1434C22semidirect
179. #1434C22semidirect
180. #1434C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
374. #386D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24052
C2×#24562
#166542
#164462
#163732
#162842
#162722
#159972
#159482
#156672
#156112
#154612
#154232
#154152
#154122
#153202
#152972
#152672
#152572
#151592
#147152
#145192
#145162
#144382
#143652
#143582
#139672