Finite Group Databasebeta

← #825156

Subgroups — #825156

Order 512.

4255 conjugacy classes of subgroups.

The subgroup lattice has 2092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2557C211yesmaximal, characteristic, complemented
2C2×#2459C211yesmaximal, characteristic, complemented
3C2×#2472C211yesmaximal, characteristic, complemented
4C2×#2455C211yesmaximal, characteristic, complemented
5C2×#2418C211yesmaximal, characteristic, complemented
6C2×#2358C211yesmaximal, characteristic, complemented
7#16814C211yesmaximal, characteristic, complemented
8#16808C211yesmaximal, characteristic, complemented
9#15833C211yesmaximal, characteristic, complemented
10#15696C211yesmaximal, characteristic, complemented
11#15539C211yesmaximal, characteristic, complemented
12#15493C211yesmaximal, characteristic, complemented
13#15453C211yesmaximal, characteristic, complemented
14#15370C211yesmaximal, characteristic, complemented
15#15283C211yesmaximal, characteristic, complemented
16#15258C211yesmaximal, characteristic
17#15250C211yesmaximal, characteristic, complemented
18#15160C211yesmaximal, characteristic, complemented
19#15127C211yesmaximal, characteristic, complemented
20#14985C211yesmaximal, characteristic, complemented
21#14977C211yesmaximal, characteristic, complemented
22#14911C211yesmaximal, characteristic, complemented
23#14796C211yesmaximal, characteristic, complemented
24#14230C211yesmaximal, characteristic, complemented
25#14189C211yesmaximal, characteristic, complemented
26#14084C211yesmaximal, characteristic, complemented
27#14025C211yesmaximal, characteristic, complemented
28#13997C211yesmaximal, characteristic, complemented
29#13995C211yesmaximal, characteristic, complemented
30C4×#392C211yesmaximal, characteristic, complemented
31#13822C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#124C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic, complemented
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46#2557—28no—
47#2472—28no—
48#2459—28no—
49#2455—28no—
50#2418—28no—
51C2×#399C2211yescharacteristic
52C2×#399C2211yescharacteristic
53C2×#399C2211yescharacteristic, complemented
54C2×#399C2211yescharacteristic, complemented
55C2×#397C2211yescharacteristic
56C2×#397C2211yescharacteristic
57C2×#397C2211yescharacteristic
58C2×#397C2211yescharacteristic, complemented
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic, complemented
66C2×#394C2211yescharacteristic, complemented
67C2×#393C2211yescharacteristic
68C2×#393C2211yescharacteristic, complemented
69C2×#393C2211yescharacteristic, complemented
70C2×#392C2211yescharacteristic
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76#2358—28no—
77C2×#391C2211yescharacteristic, complemented
78C2×#391C2211yescharacteristic, complemented
79C2×#390C2211yescharacteristic
80C2×#390C2211yescharacteristic
81C2×#390C2211yescharacteristic
82C2×#390C2211yescharacteristic
83C2×#390C2211yescharacteristic
84C2×#390C2211yescharacteristic, complemented
85C2×#390C2211yescharacteristic, complemented
86C2×#390C2211yescharacteristic, complemented
87C2×#389C2211yescharacteristic, complemented
88C2×#389C2211yescharacteristic, complemented
89C2×#388C2211yescharacteristic
90C2×#388C2211yescharacteristic
91C2×#388C2211yescharacteristic
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic, complemented
96C2×#388C2211yescharacteristic, complemented
97C2×#388C2211yescharacteristic, complemented
98C2×#388C2211yescharacteristic, complemented
99C2×#387C2211yescharacteristic, complemented
100C2×#387C2211yescharacteristic, complemented
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic
103C2×#386C2211yescharacteristic
104C2×#386C2211yescharacteristic
105C2×#386C2211yescharacteristic
106C2×#386C2211yescharacteristic
107C2×#386C2211yescharacteristic
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#386C2211yescharacteristic, complemented
112C2×#386C2211yescharacteristic, complemented
113C2×#385C2211yescharacteristic
114C2×#385C2211yescharacteristic
115C2×#385C2211yescharacteristic
116C2×#385C2211yescharacteristic
117C2×#385C2211yescharacteristic, complemented
118C2×#385C2211yescharacteristic, complemented
119C2×#381C2211yescharacteristic
120C2×#380C2211yescharacteristic
121C2×#379C2211yescharacteristic
122C2×#379C2211yescharacteristic
123C2×C4×C4⋊C4C2211yescharacteristic, complemented
124C2×C4×C22⋊C4C2211yescharacteristic
125C2×C4×C22⋊C4C2211yescharacteristic
126C2×C4×C22⋊C4C2211yescharacteristic
127C2×C4×C22⋊C4C2211yescharacteristic
128C2×C4×C22⋊C4C2211yescharacteristic, complemented
129C2×C4×C22⋊C4C2211yescharacteristic, complemented
130#1445C2211yescharacteristic, complemented
131#1445C2211yescharacteristic, complemented
132#1445C2211yescharacteristic, complemented
133#1445C2211yescharacteristic, complemented
134#1445C2211yescharacteristic, complemented
135#1445C2211yescharacteristic, complemented
136#1445C2211yescharacteristic, complemented
137#1444C2211yescharacteristic, complemented
138#1444C2211yescharacteristic, complemented
139#1444C2211yescharacteristic, complemented
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1438C2211yescharacteristic, complemented
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic
177#1437C2211yescharacteristic
178#1437C2211yescharacteristic
179#1437C2211yescharacteristic, complemented
180#1437C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183C4⋊#95C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188#1434C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic
190C4×#95C2211yescharacteristic, complemented
191C4×#95C2211yescharacteristic, complemented
192C4×#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×#127—24no—
214C2×#127—42no—
215C2×#127—42no—
216C2×#124—24no—
217C2×#124—24no—
218C2×#124—24no—
219C2×#123—24no—
220C2×#123—24no—
221C2×#123—24no—
222C2×#123—24no—
223C2×#123—42no—
224C2×#123—42no—
225C2×C22⋊Q8—24no—
226C2×C22⋊Q8—24no—
227C2×C22⋊Q8—42no—
228C2×#120—24no—
229C2×#120—24no—
230C2×#120—24no—
231C2×#120—24no—
232C2×#120—24no—
233C2×#120—24no—
234C2×#120—42no—
235C2×#120—42no—
236C2×#120—42no—
237C2×C4×D4—24no—
238C2×C4×D4—24no—
239C2×C4×D4—24no—
240C2×C4×D4—24no—
241C2×C4×D4—24no—
242C2×C4×D4—24no—
243C2×C4×D4—42no—
244C2×C4×D4—42no—
245C2×C4×D4—42no—
246C2×C4×D4—42no—
247C2×C4×D4—42no—
248C2×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C22⋊C4—24no—
268C22×C22⋊C4—24no—
269C22×C22⋊C4—24no—
270C22×C22⋊C4—24no—
271C22×C22⋊C4—42no—
272C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340#399—24no—
341#399—24no—
342#399—24no—
343#399—42no—
344#397—24no—
345#397—24no—
346#397—24no—
347#397—24no—
348#394—24no—
349#394—24no—
350#394—24no—
351#394—24no—
352#394—24no—
353#394—24no—
354#394—24no—
355#394—24no—
356#393—24no—
357#393—24no—
358#393—24no—
359#392—24no—
360#392—24no—
361#392—24no—
362#392—24no—
363#392—24no—
364#392—42no—
365#391—24no—
366#391—24no—
367#390—24no—
368#390—24no—
369#390—24no—
370#390—24no—
371#390—42no—
372#390—42no—
373#390—42no—
374#390—42no—
375#389—24no—
376#389—24no—
377#388—24no—
378#388—24no—
379#388—24no—
380#388—24no—
381#388—24no—
382#388—24no—
383#388—24no—
384#388—24no—
385#388D418yescomplemented
386#388D418yescomplemented
387#387—24no—
388#387—24no—
389#386—24no—
390#386—24no—
391#386—24no—
392#386—24no—
393#386—24no—
394#386—24no—
395#386—24no—
396#386—24no—
397#386—24no—
398#386—24no—
399#386—24no—
400#386—24no—
401#385—24no—
402#385—24no—
403#385—24no—
404#385—24no—
405#385—24no—
406#385—24no—
407#381—24no—
408#380—24no—
409#379—24no—
410#379—24no—
411C4×C4⋊C4—42no—
412C4×C22⋊C4—24no—
413C4×C22⋊C4—24no—
414C4×C22⋊C4—24no—
415C4×C22⋊C4—24no—
416C4×C22⋊C4—42no—
417C4×C22⋊C4D418yescomplemented
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
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C25—22no—
469C25—22no—
470C25—22no—
471C25—22no—
472C25—22no—
473C25—22no—
474C25—22no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25C2411yescharacteristic
484C25C2411yescharacteristic
485C25C2411yescharacteristic
486C25C2411yescharacteristic
487C25C2411yescharacteristic
488C25C2411yescharacteristic
489C22×Q8—22no—
490C22×Q8—22no—
491C22×Q8—22no—
492C22×Q8—22no—
493C22×Q8—41no—
494C22×Q8—41no—
495C22×Q8—41no—
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—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
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#4114yes—
580C23×C4—22no—
581C23×C4—22no—
582C23×C4—22no—
583C23×C4—22no—
584C23×C4—22no—
585C23×C4—22no—
586C23×C4—22no—
587C23×C4—22no—
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—22no—
599C23×C4—22no—
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×C4C2×D414yes—
622C23×C4C2411yescharacteristic
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#127—416no—
648#124—416no—
649#123—416no—
650#123—416no—
651C22⋊Q8—416no—
652#120—232no—
653#120—416no—
654#120—416no—
655C4×D4—416no—
656C4×D4—416no—
657C4×D4—416no—
658C4×D4—416no—
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—22no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—22no—
678C2×C4⋊C4—22no—
679C2×C4⋊C4—22no—
680C2×C4⋊C4—22no—
681C2×C4⋊C4—22no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—22no—
686C2×C4⋊C4—22no—
687C2×C4⋊C4—22no—
688C2×C4⋊C4—22no—
689C2×C4⋊C4—22no—
690C2×C4⋊C4—22no—
691C2×C4⋊C4—22no—
692C2×C4⋊C4—22no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—41no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—41no—
711C2×C4⋊C4C2×D414yes—
712C2×C4⋊C4C2×D414yes—
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—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—22no—
794C2×C22⋊C4—22no—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—416no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
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—416no—
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⋊C4C2×D414yes—
877C2×C22⋊C4C2×D414yes—
878C2×C22⋊C4C2×D414yes—
879C2×C22⋊C4C2×D414yes—
880C2×C22⋊C4C2×D414yes—
881C2×C22⋊C4C2×D414yes—
882C2×C22⋊C4C2×D414yes—
883C2×C22⋊C4C2×D414yes—
884C2×C22⋊C4#4114yes—
885C2×C22⋊C4#4114yes—
886C2×C42—22no—
887C2×C42—22no—
888C2×C42—22no—
889C2×C42—22no—
890C2×C42—22no—
891C2×C42—22no—
892C2×C42—22no—
893C2×C42—22no—
894C2×C42—22no—
895C2×C42—22no—
896C2×C42—41no—
897C2×C42—41no—
898C2×C42—41no—
899C2×C42—41no—
900C2×C42—41no—
901C2×C42—41no—
902C2×C42—41no—
903C2×C42—41no—
904C2×C42—41no—
905C2×C42—41no—
906C2×C42—41no—
907C2×C42—41no—
908C2×C42—41no—
909C2×C42—41no—
910C2×C42—41no—
911C2×C42—41no—
912C2×C42C2×D414yes—
913C2×C42C2×D414yes—
914C2×C42C2×D414yes—
915C2×C42C2×D414yes—
916#95—22no—
917#95—22no—
918#95—22no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—22no—
933#95—22no—
934#95—22no—
935#95—22no—
936#95—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—22no—
952#95—41no—
953#95—41no—
954#95—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959#95—41no—
960#95C2×D414yes—
961#95C2×D414yes—
962#95C2×D414yes—
963#95C2×D414yes—
964#95C2×D414yes—
965#95C2×D414yes—
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—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—28no—
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—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
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—82no—
1065C24—82no—
1066C24—82no—
1067C24—82no—
1068C24—82no—
1069C24—82no—
1070C24—82no—
1071C24—82no—
1072C24—82no—
1073C24—82no—
1074C24—82no—
1075C24—82no—
1076C24—82no—
1077C24—82no—
1078C24—82no—
1079C24—82no—
1080C24—82no—
1081C24—82no—
1082C24C22×D412yes—
1083C24C22×D412yes—
1084C24C22×D412yes—
1085C24C2×#4112yes—
1086C24C2×#4112yes—
1087C24C2×#4112yes—
1088C24C2×#4112yes—
1089C24H(5,𝔽2)12yes—
1090C24H(5,𝔽2)12yes—
1091C24C2511yescharacteristic
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—82no—
1097C2×Q8—82no—
1098C2×Q8—82no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
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—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
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—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—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—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—82no—
1357C22×C4—82no—
1358C22×C4—82no—
1359C22×C4—82no—
1360C22×C4—82no—
1361C22×C4—82no—
1362C22×C4—82no—
1363C22×C4—82no—
1364C22×C4—82no—
1365C22×C4—82no—
1366C22×C4—82no—
1367C22×C4—82no—
1368C22×C4—82no—
1369C22×C4—82no—
1370C22×C4—82no—
1371C22×C4—82no—
1372C22×C4—82no—
1373C22×C4—82no—
1374C22×C4—82no—
1375C22×C4C22×D412yes—
1376C22×C4C22×D412yes—
1377C22×C4C22×D412yes—
1378C22×C4C22×D412yes—
1379C22×C4C22×D412yes—
1380C22×C4C22×D412yes—
1381C22×C4C22×D412yes—
1382C22×C4C22×D412yes—
1383C22×C4C22×D412yes—
1384C22×C4C22×D412yes—
1385C22×C4C22×D412yes—
1386C22×C4C22×D412yes—
1387C22×C4C22×D412yes—
1388C22×C4C22×D412yes—
1389C22×C4C22×D412yes—
1390C22×C4C22×D412yes—
1391C22×C4C22×D412yes—
1392C22×C4C22×D412yes—
1393C22×C4C2×#4112yes—
1394C22×C4C2×#4112yes—
1395C22×C4C2×#4112yes—
1396C22×C4C2×#4112yes—
1397C22×C4C2×#4112yes—
1398C22×C4H(5,𝔽2)12yes—
1399C22×C4H(5,𝔽2)12yes—
1400C4⋊C4—28no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—82no—
1416C4⋊C4—82no—
1417C4⋊C4—82no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
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—82no—
1463C22⋊C4—82no—
1464C22⋊C4—82no—
1465C22⋊C4—82no—
1466C22⋊C4—82no—
1467C22⋊C4—82no—
1468C22⋊C4—82no—
1469C22⋊C4—82no—
1470C22⋊C4—82no—
1471C22⋊C4—82no—
1472C22⋊C4—82no—
1473C22⋊C4—82no—
1474C22⋊C4#127116yescomplemented
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—82no—
1483C42—82no—
1484C42—82no—
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—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—416no—
1543C23—416no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—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—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—88no—
1696C23—88no—
1697C23—88no—
1698C23—88no—
1699C23—88no—
1700C23—88no—
1701C23—88no—
1702C23—88no—
1703C23—88no—
1704C23—88no—
1705C23—88no—
1706C23—88no—
1707C23—88no—
1708C23C2×#12714yes—
1709C23#55914yes—
1710C23C23×D411yescharacteristic
1711C23C23×D411yescharacteristic
1712C23C23×D411yescharacteristic
1713C23C22×#4111yescharacteristic
1714C23C22×#4111yescharacteristic
1715C23C22×#4111yescharacteristic
1716C23C2×H(5,𝔽2)11yescharacteristic
1717C23C2×H(5,𝔽2)11yescharacteristic
1718C23C2×H(5,𝔽2)11yescharacteristic
1719C23C2×H(5,𝔽2)11yescharacteristic
1720C23#58511yescharacteristic
1721C23#58511yescharacteristic
1722C23#58511yescharacteristic
1723C23#58511yescharacteristic
1724C23#58511yescharacteristic
1725Q8—88no—
1726D4—416no—
1727D4—416no—
1728D4—416no—
1729D4—416no—
1730D4—88no—
1731D4—88no—
1732D4—88no—
1733D4—88no—
1734D4—88no—
1735D4—88no—
1736D4—88no—
1737D4—88no—
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—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
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—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—88no—
1910C2×C4—88no—
1911C2×C4—88no—
1912C2×C4—88no—
1913C2×C4—88no—
1914C2×C4—88no—
1915C2×C4#52514yes—
1916C2×C4C2×#12714yes—
1917C2×C4C2×#12714yes—
1918C2×C4#54614yes—
1919C22—24no—
1920C22—24no—
1921C22—24no—
1922C22—24no—
1923C22—24no—
1924C22—24no—
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—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—832no—
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—81no—
1985C22—81no—
1986C22—81no—
1987C22—81no—
1988C22—81no—
1989C22—81no—
1990C22—81no—
1991C22—81no—
1992C22—81no—
1993C22—81no—
1994C22—81no—
1995C22—81no—
1996C22—81no—
1997C22—81no—
1998C22—81no—
1999C22—81no—
2000C22—81no—
2001C22—81no—
2002C22—81no—
2003C22—81no—
2004C22—81no—
2005C22—81no—
2006C22—81no—
2007C22—81no—
2008C22—81no—
2009C22—81no—
2010C22C2×#52511yescharacteristic
2011C22C22×#12711yescharacteristic
2012C22#344911yescharacteristic
2013C22C2×#54611yescharacteristic
2014C22D4×#4111yescharacteristic
2015C22D4×#4111yescharacteristic
2016C22D4×#4111yescharacteristic
2017C22D4×#4111yescharacteristic
2018C22D4×#4111yescharacteristic
2019C22D4×#4111yescharacteristic
2020C22C2×#55911yescharacteristic
2021C22#348111yescharacteristic
2022C22#348411yescharacteristic
2023C22#348411yescharacteristic
2024C22#348411yescharacteristic
2025C22#348811yescharacteristic
2026C22#348811yescharacteristic
2027C22#348811yescharacteristic
2028C22#349011yescharacteristic
2029C22#349111yescharacteristic
2030C22#349611yescharacteristic
2031C22#349611yescharacteristic
2032C22#350011yescharacteristic
2033C22#350611yescharacteristic
2034C22#351011yescharacteristic
2035C22#351311yescharacteristic
2036C22#351311yescharacteristic
2037C22#351311yescharacteristic
2038C22#351411yescharacteristic
2039C22#353311yescharacteristic
2040C22#354211yescharacteristic
2041C22#355811yescharacteristic
2042C22#356011yescharacteristic
2043C22#356211yescharacteristic
2044C22#356611yescharacteristic
2045C4—24no—
2046C4—24no—
2047C4—24no—
2048C4—24no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—81no—
2063C4—81no—
2064C4—81no—
2065C4—81no—
2066C4—81no—
2067C4—81no—
2068C4—81no—
2069C4—81no—
2070C2—44no—
2071C2—44no—
2072C2—82no—
2073C2—82no—
2074C2—82no—
2075C2—161no—
2076C2#3493611yescharacteristic
2077C2#3576211yescharacteristic
2078C2#3592111yescharacteristic
2079C2#3626011yescharacteristic
2080C2#3644111yescharacteristic
2081C2#3987211yescharacteristic
2082C2#4049611yescharacteristic
2083C2#4301111yescharacteristic
2084C2#4301311yescharacteristic
2085C2#4427011yescharacteristic
2086C2#4433011yescharacteristic
2087C2#5902911yescharacteristic
2088C2#5914711yescharacteristic
2089C2#5917711yescharacteristic
2090C2#5918911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15258C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2557C2semidirect
2. C2×#2459C2semidirect
3. C2×#2472C2semidirect
4. C2×#2455C2semidirect
5. C2×#2418C2semidirect
6. C2×#2358C2semidirect
7. #16814C2semidirect
8. #16808C2semidirect
9. #15833C2semidirect
10. #15696C2semidirect
11. #15539C2semidirect
12. #15493C2semidirect
13. #15453C2semidirect
14. #15370C2semidirect
15. #15283C2semidirect
17. #15250C2semidirect
18. #15160C2semidirect
19. #15127C2semidirect
20. #14985C2semidirect
21. #14977C2semidirect
22. #14911C2semidirect
23. #14796C2semidirect
24. #14230C2semidirect
25. #14189C2semidirect
26. #14084C2semidirect
27. #14025C2semidirect
28. #13997C2semidirect
29. #13995C2semidirect
30. C4×#392C2semidirect
31. #13822C2semidirect
43. C22×C4×D4C22semidirect
53. C2×#399C22semidirect
54. C2×#399C22semidirect
58. C2×#397C22semidirect
65. C2×#394C22semidirect
66. C2×#394C22semidirect
68. C2×#393C22semidirect
69. C2×#393C22semidirect
77. C2×#391C22semidirect
78. C2×#391C22semidirect
84. C2×#390C22semidirect
85. C2×#390C22semidirect
86. C2×#390C22semidirect
87. C2×#389C22semidirect
88. C2×#389C22semidirect
95. C2×#388C22semidirect
96. C2×#388C22semidirect
97. C2×#388C22semidirect
98. C2×#388C22semidirect
99. C2×#387C22semidirect
100. C2×#387C22semidirect
111. C2×#386C22semidirect
112. C2×#386C22semidirect
117. C2×#385C22semidirect
118. C2×#385C22semidirect
123. C2×C4×C4⋊C4C22semidirect
128. C2×C4×C22⋊C4C22semidirect
129. C2×C4×C22⋊C4C22semidirect
130. #1445C22semidirect
131. #1445C22semidirect
132. #1445C22semidirect
133. #1445C22semidirect
134. #1445C22semidirect
135. #1445C22semidirect
136. #1445C22semidirect
137. #1444C22semidirect
138. #1444C22semidirect
139. #1444C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1438C22semidirect
179. #1437C22semidirect
180. #1437C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. C4⋊#95C22semidirect
184. C4⋊#95C22semidirect
185. C4⋊#95C22semidirect
186. C4⋊#95C22semidirect
187. #1434C22semidirect
188. #1434C22semidirect
190. C4×#95C22semidirect
191. C4×#95C22semidirect
192. C4×#95C22semidirect
385. #388D4semidirect
386. #388D4semidirect
417. C4×C22⋊C4D4semidirect
1474. C22⋊C4#127semidirect

Maximal subgroups

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

subgroupindex
C2×#25572
C2×#24592
C2×#24722
C2×#24552
C2×#24182
C2×#23582
#168142
#168082
#158332
#156962
#155392
#154932
#154532
#153702
#152832
#152582
#152502
#151602
#151272
#149852
#149772
#149112
#147962
#142302
#141892
#140842
#140252
#139972
#139952
C4×#3922
#138222