Finite Group Databasebeta

← #2110928

Subgroups — #2110928

Order 512.

4251 conjugacy classes of subgroups.

The subgroup lattice has 2204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2671C211yesmaximal, characteristic, complemented
2C2×#2669C211yesmaximal, characteristic, complemented
3C2×#2539C211yesmaximal, characteristic, complemented
4C2×#2445C211yesmaximal, characteristic, complemented
5C2×#2456C211yesmaximal, characteristic, complemented
6C2×#2418C211yesmaximal, characteristic, complemented
7#17103C211yesmaximal, characteristic, complemented
8#17068C211yesmaximal, characteristic, complemented
9#16502C211yesmaximal, characteristic, complemented
10#16291C211yesmaximal, characteristic, complemented
11#16269C211yesmaximal, characteristic, complemented
12#16260C211yesmaximal, characteristic, complemented
13#16249C211yesmaximal, characteristic, complemented
14#15617C211yesmaximal, characteristic, complemented
15#15450C211yesmaximal, characteristic, complemented
16#15408C211yesmaximal, characteristic, complemented
17#15397C211yesmaximal, characteristic, complemented
18#15370C211yesmaximal, characteristic, complemented
19#15370C211yesmaximal, characteristic, complemented
20#15316C211yesmaximal, characteristic, complemented
21#15281C211yesmaximal, characteristic, complemented
22#15273C211yesmaximal, characteristic, complemented
23#15260C211yesmaximal, characteristic, complemented
24#15257C211yesmaximal, characteristic, complemented
25#15084C211yesmaximal, characteristic, complemented
26#14796C211yesmaximal, characteristic, complemented
27#14725C211yesmaximal, characteristic, complemented
28#14721C211yesmaximal, characteristic, complemented
29#14429C211yesmaximal, characteristic, complemented
30#14311C211yesmaximal, characteristic, complemented
31#13994C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic, complemented
47C23×C22⋊C4C2211yescharacteristic
48#2671—28no—
49#2669—28no—
50#2539—28no—
51#2456—28no—
52#2445—28no—
53#2418—28no—
54C2×#399C2211yescharacteristic
55C2×#399C2211yescharacteristic
56C2×#399C2211yescharacteristic
57C2×#399C2211yescharacteristic, complemented
58C2×#398C2211yescharacteristic, complemented
59C2×#397C2211yescharacteristic
60C2×#396C2211yescharacteristic, complemented
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic, complemented
72C2×#394C2211yescharacteristic, complemented
73C2×#394C2211yescharacteristic, complemented
74C2×#394C2211yescharacteristic, complemented
75C2×#394C2211yescharacteristic, complemented
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic
81C2×#392C2211yescharacteristic
82C2×#392C2211yescharacteristic
83C2×#392C2211yescharacteristic
84C2×#392C2211yescharacteristic
85C2×#392C2211yescharacteristic
86C2×#392C2211yescharacteristic
87C2×#392C2211yescharacteristic, complemented
88C2×#392C2211yescharacteristic, complemented
89C2×#392C2211yescharacteristic, complemented
90C2×#390C2211yescharacteristic
91C2×#390C2211yescharacteristic
92C2×#390C2211yescharacteristic
93C2×#390C2211yescharacteristic
94C2×#390C2211yescharacteristic
95C2×#390C2211yescharacteristic, complemented
96C2×#390C2211yescharacteristic, complemented
97C2×#389C2211yescharacteristic, complemented
98C2×#389C2211yescharacteristic, complemented
99C2×#388C2211yescharacteristic
100C2×#388C2211yescharacteristic
101C2×#388C2211yescharacteristic
102C2×#388C2211yescharacteristic
103C2×#388C2211yescharacteristic
104C2×#388C2211yescharacteristic
105C2×#388C2211yescharacteristic, complemented
106C2×#388C2211yescharacteristic, complemented
107C2×#387C2211yescharacteristic, complemented
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#386C2211yescharacteristic
112C2×#386C2211yescharacteristic
113C2×#386C2211yescharacteristic
114C2×#386C2211yescharacteristic
115C2×#386C2211yescharacteristic, complemented
116C2×#386C2211yescharacteristic, complemented
117C2×#386C2211yescharacteristic, complemented
118C2×#385C2211yescharacteristic
119C2×#385C2211yescharacteristic, complemented
120C2×#385C2211yescharacteristic, complemented
121C2×#385C2211yescharacteristic, complemented
122C2×#385C2211yescharacteristic, complemented
123C2×#380C2211yescharacteristic
124C2×#380C2211yescharacteristic
125C2×#379C2211yescharacteristic
126C2×#379C2211yescharacteristic
127C2×C4×C4⋊C4C2211yescharacteristic, complemented
128C2×C4×C22⋊C4C2211yescharacteristic
129#1445C2211yescharacteristic, complemented
130#1444C2211yescharacteristic, complemented
131#1444C2211yescharacteristic, complemented
132#1444C2211yescharacteristic, complemented
133#1444C2211yescharacteristic, complemented
134#1442C2211yescharacteristic, complemented
135#1442C2211yescharacteristic, complemented
136#1442C2211yescharacteristic, complemented
137#1442C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic
143#1440C2211yescharacteristic
144#1440C2211yescharacteristic, complemented
145#1440C2211yescharacteristic, complemented
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1439C2211yescharacteristic, complemented
164#1439C2211yescharacteristic, complemented
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic
174#1438C2211yescharacteristic
175#1438C2211yescharacteristic
176#1438C2211yescharacteristic
177#1438C2211yescharacteristic
178#1438C2211yescharacteristic, complemented
179#1438C2211yescharacteristic, complemented
180#1438C2211yescharacteristic, complemented
181#1437C2211yescharacteristic, complemented
182#1437C2211yescharacteristic, complemented
183#1437C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188#1434C2211yescharacteristic, complemented
189#1434C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
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
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C2×#127—24no—
218C2×#127—24no—
219C2×#127—42no—
220C2×#123—24no—
221C2×#123—24no—
222C2×#123—24no—
223C2×#123—24no—
224C2×#123—24no—
225C2×#123—24no—
226C2×#123—24no—
227C2×#123—42no—
228C2×#123—42no—
229C2×#123—42no—
230C2×#123—42no—
231C2×#123—42no—
232C2×#121—24no—
233C2×#121—24no—
234C2×#121—24no—
235C2×#121—24no—
236C2×#121—24no—
237C2×#121—24no—
238C2×#121—24no—
239C2×#121—42no—
240C2×#121—42no—
241C2×#121—42no—
242C2×#121—42no—
243C2×#121—42no—
244C2×#120—24no—
245C2×#120—24no—
246C2×#120—24no—
247C2×#120—24no—
248C2×#120—24no—
249C2×#120—24no—
250C2×#120—42no—
251C2×#120—42no—
252C2×#120—42no—
253C2×#120—42no—
254C2×#120—42no—
255C2×#120—42no—
256C2×C4×D4—24no—
257C2×C4×D4—24no—
258C2×C4×D4—24no—
259C2×C4×D4—24no—
260C2×C4×D4—42no—
261C2×C4×D4—42no—
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C22⋊C4—24no—
282C22×C22⋊C4—24no—
283C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350#399—24no—
351#399—24no—
352#399—24no—
353#399—24no—
354#398—24no—
355#397—24no—
356#396—24no—
357#394—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—24no—
365#394—24no—
366#394—24no—
367#394—24no—
368#394—42no—
369#394—42no—
370#394—42no—
371#394—42no—
372#392—24no—
373#392—24no—
374#392—24no—
375#392—24no—
376#392—24no—
377#392—24no—
378#392—24no—
379#392—24no—
380#392—42no—
381#392—42no—
382#392—42no—
383#392—42no—
384#392—42no—
385#392D418yescomplemented
386#390—24no—
387#390—24no—
388#390—24no—
389#390—24no—
390#390—24no—
391#390—24no—
392#390D418yescomplemented
393#389—24no—
394#389—42no—
395#388—24no—
396#388—24no—
397#388—24no—
398#388—24no—
399#388—24no—
400#388—24no—
401#388—42no—
402#388—42no—
403#387—24no—
404#386—24no—
405#386—24no—
406#386—24no—
407#386—24no—
408#386—24no—
409#386—24no—
410#386—24no—
411#386—24no—
412#386—24no—
413#386—42no—
414#385—24no—
415#385—24no—
416#385—24no—
417#385—24no—
418#385—42no—
419#380—42no—
420#380D418yescomplemented
421#379—24no—
422#379—42no—
423C4×C4⋊C4—24no—
424C4×C22⋊C4—24no—
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
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C25—22no—
472C25—22no—
473C25—22no—
474C25—22no—
475C25—22no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25—41no—
486C25C2411yescharacteristic
487C25C2411yescharacteristic
488C25C2411yescharacteristic
489C25C2411yescharacteristic
490C25C2411yescharacteristic
491C25C2411yescharacteristic
492C25C2411yescharacteristic
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—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—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—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4C2×D414yes—
616C22×D4C2×D414yes—
617C22×D4C2×D414yes—
618C22×D4C2×D414yes—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—41no—
651C23×C4—41no—
652C23×C4—41no—
653C23×C4C2×D414yes—
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678#127—416no—
679#123—416no—
680#123—416no—
681#123—416no—
682#123—416no—
683#121—416no—
684#121—416no—
685#121—416no—
686#121—416no—
687#120—416no—
688#120—416no—
689#120—416no—
690#120—416no—
691C4×D4—416no—
692C4×D4—416no—
693C2×C4⋊C4—22no—
694C2×C4⋊C4—22no—
695C2×C4⋊C4—22no—
696C2×C4⋊C4—22no—
697C2×C4⋊C4—22no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—22no—
700C2×C4⋊C4—22no—
701C2×C4⋊C4—22no—
702C2×C4⋊C4—22no—
703C2×C4⋊C4—22no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—22no—
709C2×C4⋊C4—22no—
710C2×C4⋊C4—22no—
711C2×C4⋊C4—22no—
712C2×C4⋊C4—22no—
713C2×C4⋊C4—22no—
714C2×C4⋊C4—22no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—22no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—22no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—41no—
724C2×C4⋊C4—41no—
725C2×C4⋊C4—41no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4—41no—
728C2×C4⋊C4—41no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4—41no—
731C2×C4⋊C4—41no—
732C2×C4⋊C4—41no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4—41no—
736C2×C4⋊C4—41no—
737C2×C4⋊C4—41no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4—41no—
742C2×C4⋊C4—41no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4—41no—
747C2×C4⋊C4C2×D414yes—
748C2×C4⋊C4C2×D414yes—
749C2×C4⋊C4C2×D414yes—
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—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—416no—
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⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C22⋊C4—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4C2×D414yes—
926C2×C22⋊C4C2×D414yes—
927C2×C22⋊C4C2×D414yes—
928C2×C22⋊C4C2×D414yes—
929C2×C22⋊C4C2×D414yes—
930C2×C22⋊C4C2×D414yes—
931C2×C22⋊C4C2×D414yes—
932C2×C22⋊C4C2×D414yes—
933C2×C22⋊C4C2×D414yes—
934C2×C42—22no—
935C2×C42—22no—
936C2×C42—22no—
937C2×C42—22no—
938C2×C42—22no—
939C2×C42—22no—
940C2×C42—22no—
941C2×C42—22no—
942C2×C42—22no—
943C2×C42—41no—
944C2×C42—41no—
945C2×C42—41no—
946C2×C42—41no—
947C2×C42—41no—
948C2×C42C2×D414yes—
949#95—22no—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—22no—
955#95—22no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—22no—
960#95—22no—
961#95—22no—
962#95—22no—
963#95—22no—
964#95—22no—
965#95—22no—
966#95—22no—
967#95—22no—
968#95—22no—
969#95—22no—
970#95—22no—
971#95—22no—
972#95—22no—
973#95—22no—
974#95—22no—
975#95—22no—
976#95—41no—
977#95—41no—
978#95—41no—
979#95—41no—
980#95—41no—
981#95—41no—
982#95—41no—
983#95—41no—
984#95—41no—
985#95—41no—
986#95—41no—
987#95—41no—
988#95—41no—
989#95—41no—
990#95—41no—
991#95—41no—
992#95C2×D414yes—
993#95C2×D414yes—
994#95C2×D414yes—
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—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—21no—
1087C24—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—82no—
1106C24—82no—
1107C24—82no—
1108C24—82no—
1109C24—82no—
1110C24—82no—
1111C24—82no—
1112C24—82no—
1113C24—82no—
1114C24—82no—
1115C24—82no—
1116C24—82no—
1117C24—82no—
1118C24—82no—
1119C24—82no—
1120C24—82no—
1121C24—82no—
1122C24—82no—
1123C24—82no—
1124C24—82no—
1125C24—82no—
1126C24—82no—
1127C24C22×D412yes—
1128C24C22×D412yes—
1129C24C22×D412yes—
1130C24C22×D412yes—
1131C24C22×D412yes—
1132C24C22×D412yes—
1133C24H(5,𝔽2)12yes—
1134C24H(5,𝔽2)12yes—
1135C24C2511yescharacteristic
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
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—44no—
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—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4—82no—
1257C2×D4—82no—
1258C2×D4—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
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—28no—
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—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—82no—
1427C22×C4—82no—
1428C22×C4—82no—
1429C22×C4—82no—
1430C22×C4—82no—
1431C22×C4—82no—
1432C22×C4—82no—
1433C22×C4—82no—
1434C22×C4—82no—
1435C22×C4—82no—
1436C22×C4—82no—
1437C22×C4—82no—
1438C22×C4—82no—
1439C22×C4—82no—
1440C22×C4—82no—
1441C22×C4—82no—
1442C22×C4—82no—
1443C22×C4—82no—
1444C22×C4—82no—
1445C22×C4—82no—
1446C22×C4C22×D412yes—
1447C22×C4C22×D412yes—
1448C22×C4C22×D412yes—
1449C22×C4C22×D412yes—
1450C22×C4C22×D412yes—
1451C22×C4C22×D412yes—
1452C22×C4C22×D412yes—
1453C22×C4C22×D412yes—
1454C22×C4C22×D412yes—
1455C22×C4C22×D412yes—
1456C22×C4C22×D412yes—
1457C22×C4C22×D412yes—
1458C22×C4C22×D412yes—
1459C22×C4C22×D412yes—
1460C22×C4C22×D412yes—
1461C22×C4H(5,𝔽2)12yes—
1462C22×C4H(5,𝔽2)12yes—
1463C22×C4H(5,𝔽2)12yes—
1464C22×C4H(5,𝔽2)12yes—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—82no—
1481C4⋊C4—82no—
1482C4⋊C4—82no—
1483C4⋊C4—82no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—82no—
1526C22⋊C4—82no—
1527C22⋊C4—82no—
1528C22⋊C4—82no—
1529C22⋊C4—82no—
1530C22⋊C4—82no—
1531C22⋊C4—82no—
1532C22⋊C4—82no—
1533C22⋊C4—82no—
1534C22⋊C4—82no—
1535C22⋊C4—82no—
1536C22⋊C4—82no—
1537C22⋊C4—82no—
1538C22⋊C4—82no—
1539C22⋊C4—82no—
1540C22⋊C4—82no—
1541C22⋊C4—82no—
1542C22⋊C4—82no—
1543C22⋊C4—82no—
1544C22⋊C4—82no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—82no—
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—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
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—416no—
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—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—41no—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—88no—
1796C23—88no—
1797C23—88no—
1798C23—88no—
1799C23—88no—
1800C23—88no—
1801C23—88no—
1802C23—88no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23—88no—
1807C23—88no—
1808C23—88no—
1809C23D4214yes—
1810C23C23×D411yescharacteristic
1811C23C23×D411yescharacteristic
1812C23C23×D411yescharacteristic
1813C23C2×H(5,𝔽2)11yescharacteristic
1814C23C2×H(5,𝔽2)11yescharacteristic
1815C23C2×H(5,𝔽2)11yescharacteristic
1816C23C2×H(5,𝔽2)11yescharacteristic
1817C23C2×H(5,𝔽2)11yescharacteristic
1818C23C2×H(5,𝔽2)11yescharacteristic
1819C23#58511yescharacteristic
1820C23#58511yescharacteristic
1821C23#58511yescharacteristic
1822C23#58511yescharacteristic
1823C23#58511yescharacteristic
1824C23#58511yescharacteristic
1825D4—416no—
1826D4—416no—
1827D4—88no—
1828D4—88no—
1829D4—88no—
1830D4—88no—
1831D4—88no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836D4—88no—
1837D4—88no—
1838D4—88no—
1839D4—88no—
1840D4—88no—
1841D4—88no—
1842D4—88no—
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—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
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—41no—
1988C2×C4—41no—
1989C2×C4—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—88no—
2010C2×C4—88no—
2011C2×C4—88no—
2012C2×C4—88no—
2013C2×C4—88no—
2014C2×C4D4214yes—
2015C2×C4D4214yes—
2016C22—24no—
2017C22—24no—
2018C22—24no—
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—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—832no—
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—
2098C22—81no—
2099C22—81no—
2100C22—81no—
2101C22—81no—
2102C22—81no—
2103C22—81no—
2104C22—81no—
2105C22—81no—
2106C22—81no—
2107C22—81no—
2108C22—81no—
2109C22—81no—
2110C22—81no—
2111C22—81no—
2112C22—81no—
2113C22—81no—
2114C22—81no—
2115C22—81no—
2116C22—81no—
2117C22—81no—
2118C22—81no—
2119C22—81no—
2120C22—81no—
2121C22—81no—
2122C22#344911yescharacteristic
2123C22#344911yescharacteristic
2124C22C2×D4211yescharacteristic
2125C22C2×D4211yescharacteristic
2126C22C2×D4211yescharacteristic
2127C22#348411yescharacteristic
2128C22#348411yescharacteristic
2129C22#348511yescharacteristic
2130C22#348511yescharacteristic
2131C22#348511yescharacteristic
2132C22#348511yescharacteristic
2133C22#348711yescharacteristic
2134C22#348811yescharacteristic
2135C22#348811yescharacteristic
2136C22#348811yescharacteristic
2137C22#349611yescharacteristic
2138C22#349811yescharacteristic
2139C22#349811yescharacteristic
2140C22#353311yescharacteristic
2141C22#353311yescharacteristic
2142C22#353311yescharacteristic
2143C22#353311yescharacteristic
2144C22#353311yescharacteristic
2145C22#353411yescharacteristic
2146C22#353911yescharacteristic
2147C22#354211yescharacteristic
2148C22#354211yescharacteristic
2149C22#354211yescharacteristic
2150C22#354211yescharacteristic
2151C22#354311yescharacteristic
2152C22#355811yescharacteristic
2153C22#355811yescharacteristic
2154C22#355811yescharacteristic
2155C22#356011yescharacteristic
2156C22#356211yescharacteristic
2157C4—24no—
2158C4—24no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—81no—
2173C4—81no—
2174C4—81no—
2175C4—81no—
2176C4—81no—
2177C4—81no—
2178C4—81no—
2179C4—81no—
2180C4—81no—
2181C2—44no—
2182C2—82no—
2183C2—82no—
2184C2—82no—
2185C2—82no—
2186C2—82no—
2187C2—161no—
2188C2#3765411yescharacteristic
2189C2#3765511yescharacteristic
2190C2#3765711yescharacteristic
2191C2#3767811yescharacteristic
2192C2#4060211yescharacteristic
2193C2#4195811yescharacteristic
2194C2#4302311yescharacteristic
2195C2#4493211yescharacteristic
2196C2#4642411yescharacteristic
2197C2#4882111yescharacteristic
2198C2#4957211yescharacteristic
2199C2#5189311yescharacteristic
2200C2#5582511yescharacteristic
2201C2#5752911yescharacteristic
2202C2#5912611yescharacteristic
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×#2671C2semidirect
2. C2×#2669C2semidirect
3. C2×#2539C2semidirect
4. C2×#2445C2semidirect
5. C2×#2456C2semidirect
6. C2×#2418C2semidirect
7. #17103C2semidirect
8. #17068C2semidirect
9. #16502C2semidirect
10. #16291C2semidirect
11. #16269C2semidirect
12. #16260C2semidirect
13. #16249C2semidirect
14. #15617C2semidirect
15. #15450C2semidirect
16. #15408C2semidirect
17. #15397C2semidirect
18. #15370C2semidirect
19. #15370C2semidirect
20. #15316C2semidirect
21. #15281C2semidirect
22. #15273C2semidirect
23. #15260C2semidirect
24. #15257C2semidirect
25. #15084C2semidirect
26. #14796C2semidirect
27. #14725C2semidirect
28. #14721C2semidirect
29. #14429C2semidirect
30. #14311C2semidirect
31. #13994C2semidirect
36. C22×#123C22semidirect
46. C22×C4×D4C22semidirect
57. C2×#399C22semidirect
58. C2×#398C22semidirect
60. C2×#396C22semidirect
71. C2×#394C22semidirect
72. C2×#394C22semidirect
73. C2×#394C22semidirect
74. C2×#394C22semidirect
75. C2×#394C22semidirect
87. C2×#392C22semidirect
88. C2×#392C22semidirect
89. C2×#392C22semidirect
95. C2×#390C22semidirect
96. C2×#390C22semidirect
97. C2×#389C22semidirect
98. C2×#389C22semidirect
105. C2×#388C22semidirect
106. C2×#388C22semidirect
107. C2×#387C22semidirect
115. C2×#386C22semidirect
116. C2×#386C22semidirect
117. C2×#386C22semidirect
119. C2×#385C22semidirect
120. C2×#385C22semidirect
121. C2×#385C22semidirect
122. C2×#385C22semidirect
127. C2×C4×C4⋊C4C22semidirect
129. #1445C22semidirect
130. #1444C22semidirect
131. #1444C22semidirect
132. #1444C22semidirect
133. #1444C22semidirect
134. #1442C22semidirect
135. #1442C22semidirect
136. #1442C22semidirect
137. #1442C22semidirect
138. #1441C22semidirect
144. #1440C22semidirect
145. #1440C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
163. #1439C22semidirect
164. #1439C22semidirect
178. #1438C22semidirect
179. #1438C22semidirect
180. #1438C22semidirect
181. #1437C22semidirect
182. #1437C22semidirect
183. #1437C22semidirect
184. #1436C22semidirect
185. C4⋊#95C22semidirect
186. C4⋊#95C22semidirect
187. #1434C22semidirect
188. #1434C22semidirect
189. #1434C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
385. #392D4semidirect
392. #390D4semidirect
420. #380D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26712
C2×#26692
C2×#25392
C2×#24452
C2×#24562
C2×#24182
#171032
#170682
#165022
#162912
#162692
#162602
#162492
#156172
#154502
#154082
#153972
#153702
#153162
#152812
#152732
#152602
#152572
#150842
#147962
#147252
#147212
#144292
#143112
#139942