Finite Group Databasebeta

← #656322

Subgroups — #656322

Order 512.

4610 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2456C211yesmaximal, characteristic, complemented
2C2×#2424C211yesmaximal, characteristic, complemented
3C2×#2418C211yesmaximal, characteristic, complemented
4C2×#2358C211yesmaximal, characteristic, complemented
5C2×C4×#121C211yesmaximal, characteristic, complemented
6C2×C4×#121C211yesmaximal, characteristic, complemented
7#15493C211yesmaximal, characteristic, complemented
8#15439C211yesmaximal, characteristic, complemented
9#15429C211yesmaximal, characteristic, complemented
10#15307C211yesmaximal, characteristic, complemented
11#15273C211yesmaximal, characteristic, complemented
12#15263C211yesmaximal, characteristic, complemented
13#15257C211yesmaximal, characteristic, complemented
14#15257C211yesmaximal, characteristic, complemented
15#14808C211yesmaximal, characteristic, complemented
16#14807C211yesmaximal, characteristic, complemented
17#14799C211yesmaximal, characteristic, complemented
18#14796C211yesmaximal, characteristic, complemented
19#14764C211yesmaximal, characteristic, complemented
20#14761C211yesmaximal, characteristic, complemented
21#14752C211yesmaximal, characteristic, complemented
22#14750C211yesmaximal, characteristic, complemented
23#14696C211yesmaximal, characteristic, complemented
24#14171C211yesmaximal, characteristic, complemented
25#14171C211yesmaximal, characteristic, complemented
26#14100C211yesmaximal, characteristic, complemented
27#14036C211yesmaximal, characteristic, complemented
28#14032C211yesmaximal, characteristic, complemented
29#13995C211yesmaximal, characteristic, complemented
30#13988C211yesmaximal, characteristic, complemented
31#13971C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic, complemented
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C42C2211yescharacteristic, complemented
49#2456—28no—
50#2424—28no—
51#2418—28no—
52C2×#399C2211yescharacteristic
53C2×#399C2211yescharacteristic, complemented
54C2×#397C2211yescharacteristic
55C2×#396C2211yescharacteristic
56C2×#396C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64C2×#392C2211yescharacteristic
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic, complemented
67#2358—28no—
68C4×#121—28no—
69C4×#121—28no—
70C2×#390C2211yescharacteristic
71C2×#390C2211yescharacteristic
72C2×#390C2211yescharacteristic
73C2×#390C2211yescharacteristic
74C2×#389C2211yescharacteristic, complemented
75C2×#389C2211yescharacteristic, complemented
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic
81C2×#388C2211yescharacteristic
82C2×#388C2211yescharacteristic
83C2×#388C2211yescharacteristic, complemented
84C2×#388C2211yescharacteristic, complemented
85C2×#388C2211yescharacteristic, complemented
86C2×#388C2211yescharacteristic, complemented
87C2×#387C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#386C2211yescharacteristic, complemented
104C2×#385C2211yescharacteristic
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic
109C2×#385C2211yescharacteristic
110C2×#385C2211yescharacteristic, complemented
111C2×#385C2211yescharacteristic, complemented
112C2×#385C2211yescharacteristic, complemented
113C2×#385C2211yescharacteristic, complemented
114C2×#380C2211yescharacteristic
115C2×#380C2211yescharacteristic, complemented
116C2×#380C2211yescharacteristic, complemented
117C2×#379C2211yescharacteristic
118C2×#379C2211yescharacteristic
119C2×C4×C4⋊C4C2211yescharacteristic, complemented
120C2×C4×C4⋊C4C2211yescharacteristic, complemented
121C2×C4×C22⋊C4C2211yescharacteristic
122C2×C4×C22⋊C4C2211yescharacteristic
123C2×C4×C22⋊C4C2211yescharacteristic
124C2×C4×C22⋊C4C2211yescharacteristic
125C2×C4×C22⋊C4C2211yescharacteristic, complemented
126C2×C4×C22⋊C4C2211yescharacteristic, complemented
127#1445C2211yescharacteristic, complemented
128#1445C2211yescharacteristic, complemented
129#1444C2211yescharacteristic, complemented
130#1444C2211yescharacteristic, complemented
131#1442C2211yescharacteristic, complemented
132#1442C2211yescharacteristic, complemented
133#1442C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic
143#1440C2211yescharacteristic, complemented
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1437C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185#1436C2211yescharacteristic, complemented
186#1434C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188#1434C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic
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
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C2×#123—24no—
216C2×#123—24no—
217C2×#123—42no—
218C2×#121—24no—
219C2×#121—24no—
220C2×#121—24no—
221C2×#121—24no—
222C2×#121—24no—
223C2×#121—24no—
224C2×#121—24no—
225C2×#121—24no—
226C2×#121—24no—
227C2×#121—24no—
228C2×#121—42no—
229C2×#121—42no—
230C2×#120—24no—
231C2×#120—24no—
232C2×#120—24no—
233C2×#120—24no—
234C2×#120—24no—
235C2×#120—24no—
236C2×#120—24no—
237C2×#120—42no—
238C2×#120—42no—
239C2×C4×D4—24no—
240C2×C4×D4—24no—
241C2×C4×D4—24no—
242C2×C4×D4—24no—
243C2×C4×D4—24no—
244C2×C4×D4—24no—
245C2×C4×D4—24no—
246C2×C4×D4—24no—
247C2×C4×D4—24no—
248C2×C4×D4—24no—
249C2×C4×D4—24no—
250C2×C4×D4—24no—
251C2×C4×D4—42no—
252C2×C4×D4—42no—
253C2×C4×D4—42no—
254C2×C4×D4—42no—
255C2×C4×D4—42no—
256C2×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C22⋊C4—24no—
276C22×C22⋊C4—24no—
277C22×C22⋊C4—24no—
278C22×C22⋊C4—24no—
279C22×C22⋊C4—42no—
280C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C42—24no—
336C22×C42—24no—
337C22×C42—42no—
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2311yescharacteristic
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347#399—24no—
348#399—42no—
349#397—24no—
350#396—24no—
351#396—24no—
352#394—24no—
353#394—24no—
354#394—24no—
355#394—24no—
356#392—24no—
357#392—24no—
358#392—24no—
359#392—24no—
360#392—24no—
361#392—24no—
362#390—24no—
363#390—24no—
364#390—24no—
365#390D418yescomplemented
366#389—24no—
367#389—24no—
368#388—24no—
369#388—24no—
370#388—24no—
371#388—24no—
372#388—24no—
373#388—24no—
374#388—24no—
375#388—24no—
376#388—24no—
377#388—42no—
378#388D418yescomplemented
379#387—24no—
380#386—24no—
381#386—24no—
382#386—24no—
383#386—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#386—24no—
388#386—24no—
389#386—24no—
390#386—24no—
391#386—24no—
392#386—42no—
393#386—42no—
394#386—42no—
395#386D418yescomplemented
396#385—24no—
397#385—24no—
398#385—24no—
399#385—24no—
400#385—24no—
401#385—42no—
402#385—42no—
403#385—42no—
404#385—42no—
405#385—42no—
406#380—24no—
407#380—24no—
408#380—24no—
409#379—24no—
410#379—24no—
411C4×C4⋊C4—24no—
412C4×C4⋊C4—24no—
413C4×C22⋊C4—24no—
414C4×C22⋊C4—24no—
415C4×C22⋊C4—24no—
416C4×C22⋊C4—24no—
417C4×C22⋊C4—24no—
418C4×C22⋊C4—24no—
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
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C25—22no—
472C25—22no—
473C25—22no—
474C25—22no—
475C25—22no—
476C25—22no—
477C25—22no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25—41no—
486C25C2411yescharacteristic
487C25C2411yescharacteristic
488C25C2411yescharacteristic
489C25C2411yescharacteristic
490C25C2411yescharacteristic
491C25C2411yescharacteristic
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—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—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4C2×D414yes—
572C22×D4C2×D414yes—
573C22×D4#4114yes—
574C22×D4#4114yes—
575C22×D4#4114yes—
576C23×C4—22no—
577C23×C4—22no—
578C23×C4—22no—
579C23×C4—22no—
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—22no—
601C23×C4—22no—
602C23×C4—22no—
603C23×C4—22no—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4—41no—
629C23×C4—41no—
630C23×C4—41no—
631C23×C4—41no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4C2×D414yes—
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664#123—416no—
665#121—232no—
666#121—232no—
667#121—416no—
668#121—416no—
669#120—232no—
670#120—416no—
671#120—416no—
672C4×D4—416no—
673C4×D4—416no—
674C4×D4—416no—
675C4×D4—416no—
676C4×D4—416no—
677C4×D4—416no—
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—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—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4—41no—
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⋊C4C2×D414yes—
731C2×C4⋊C4C2×D414yes—
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—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—416no—
834C2×C22⋊C4—416no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4C2×D414yes—
886C2×C22⋊C4C2×D414yes—
887C2×C22⋊C4C2×D414yes—
888C2×C22⋊C4C2×D414yes—
889C2×C22⋊C4C2×D414yes—
890C2×C22⋊C4C2×D414yes—
891C2×C22⋊C4C2×D414yes—
892C2×C22⋊C4C2×D414yes—
893C2×C22⋊C4C2×D414yes—
894C2×C22⋊C4C2×D414yes—
895C2×C22⋊C4#4114yes—
896C2×C42—22no—
897C2×C42—22no—
898C2×C42—22no—
899C2×C42—22no—
900C2×C42—22no—
901C2×C42—22no—
902C2×C42—22no—
903C2×C42—22no—
904C2×C42—22no—
905C2×C42—22no—
906C2×C42—22no—
907C2×C42—22no—
908C2×C42—22no—
909C2×C42—22no—
910C2×C42—22no—
911C2×C42—22no—
912C2×C42—22no—
913C2×C42—416no—
914C2×C42—41no—
915C2×C42—41no—
916C2×C42—41no—
917C2×C42—41no—
918C2×C42—41no—
919C2×C42—41no—
920C2×C42—41no—
921C2×C42—41no—
922C2×C42C2×D414yes—
923C2×C42C2×D414yes—
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—22no—
953#95—22no—
954#95—22no—
955#95—22no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—41no—
960#95—41no—
961#95—41no—
962#95—41no—
963#95—41no—
964#95—41no—
965#95—41no—
966#95—41no—
967#95—41no—
968#95—41no—
969#95—41no—
970#95—41no—
971#95—41no—
972#95C2×D414yes—
973#95C2×D414yes—
974#95C2×D414yes—
975#95C2×D414yes—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—28no—
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—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—82no—
1072C24—82no—
1073C24—82no—
1074C24—82no—
1075C24—82no—
1076C24—82no—
1077C24—82no—
1078C24—82no—
1079C24—82no—
1080C24—82no—
1081C24—82no—
1082C24—82no—
1083C24—82no—
1084C24—82no—
1085C24—82no—
1086C24—82no—
1087C24—82no—
1088C24—82no—
1089C24C22×D412yes—
1090C24C22×D412yes—
1091C24C22×D412yes—
1092C24C22×D412yes—
1093C24C22×D412yes—
1094C24C2×#4112yes—
1095C24C2×#4112yes—
1096C24C2×#4112yes—
1097C24C2×#4112yes—
1098C24C2×#4112yes—
1099C24C2×#4112yes—
1100C24C2×#4112yes—
1101C24C2511yescharacteristic
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
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—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—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—
1183C2×D4—82no—
1184C2×D4—82no—
1185C2×D4—82no—
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—28no—
1203C22×C4—28no—
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—28no—
1283C22×C4—28no—
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—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—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—82no—
1380C22×C4—82no—
1381C22×C4—82no—
1382C22×C4—82no—
1383C22×C4—82no—
1384C22×C4—82no—
1385C22×C4—82no—
1386C22×C4—82no—
1387C22×C4—82no—
1388C22×C4—82no—
1389C22×C4—82no—
1390C22×C4—82no—
1391C22×C4—82no—
1392C22×C4—82no—
1393C22×C4—82no—
1394C22×C4—82no—
1395C22×C4—82no—
1396C22×C4—82no—
1397C22×C4—82no—
1398C22×C4—82no—
1399C22×C4C22×D412yes—
1400C22×C4C22×D412yes—
1401C22×C4C22×D412yes—
1402C22×C4C22×D412yes—
1403C22×C4C22×D412yes—
1404C22×C4C22×D412yes—
1405C22×C4C22×D412yes—
1406C22×C4C22×D412yes—
1407C22×C4C22×D412yes—
1408C22×C4C22×D412yes—
1409C22×C4C22×D412yes—
1410C22×C4C22×D412yes—
1411C22×C4C22×D412yes—
1412C22×C4C22×D412yes—
1413C22×C4C22×D412yes—
1414C22×C4C22×D412yes—
1415C22×C4C2×#4112yes—
1416C22×C4C2×#4112yes—
1417C22×C4C2×#4112yes—
1418C22×C4C2×#4112yes—
1419C22×C4C2×#4112yes—
1420C22×C4H(5,𝔽2)12yes—
1421C22×C4H(5,𝔽2)12yes—
1422C22×C4H(5,𝔽2)12yes—
1423C22×C4H(5,𝔽2)12yes—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—82no—
1438C4⋊C4—82no—
1439C4⋊C4—82no—
1440C4⋊C4—82no—
1441C4⋊C4—82no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—82no—
1486C22⋊C4—82no—
1487C22⋊C4—82no—
1488C22⋊C4—82no—
1489C22⋊C4—82no—
1490C22⋊C4—82no—
1491C22⋊C4—82no—
1492C22⋊C4—82no—
1493C22⋊C4—82no—
1494C22⋊C4—82no—
1495C22⋊C4—82no—
1496C42—28no—
1497C42—28no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—82no—
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—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—416no—
1581C23—416no—
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—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—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—88no—
1719C23—88no—
1720C23—88no—
1721C23—88no—
1722C23—88no—
1723C23—88no—
1724C23—88no—
1725C23—88no—
1726C23—88no—
1727C23#52514yes—
1728C23#52514yes—
1729C23#52514yes—
1730C23C23×D411yescharacteristic
1731C23C23×D411yescharacteristic
1732C23C23×D411yescharacteristic
1733C23C22×#4111yescharacteristic
1734C23C22×#4111yescharacteristic
1735C23C22×#4111yescharacteristic
1736C23C22×#4111yescharacteristic
1737C23C2×H(5,𝔽2)11yescharacteristic
1738C23C2×H(5,𝔽2)11yescharacteristic
1739C23C2×H(5,𝔽2)11yescharacteristic
1740C23C2×H(5,𝔽2)11yescharacteristic
1741C23#58511yescharacteristic
1742C23#58511yescharacteristic
1743C23#58511yescharacteristic
1744C23#58511yescharacteristic
1745D4—416no—
1746D4—416no—
1747D4—416no—
1748D4—416no—
1749D4—416no—
1750D4—416no—
1751D4—88no—
1752D4—88no—
1753D4—88no—
1754D4—88no—
1755D4—88no—
1756D4—88no—
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—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—416no—
1821C2×C4—416no—
1822C2×C4—416no—
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—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—88no—
1932C2×C4—88no—
1933C2×C4—88no—
1934C2×C4—88no—
1935C2×C4—88no—
1936C2×C4—88no—
1937C2×C4D4214yes—
1938C2×C4D4214yes—
1939C2×C4D4214yes—
1940C2×C4#54614yes—
1941C22—24no—
1942C22—24no—
1943C22—24no—
1944C22—24no—
1945C22—24no—
1946C22—24no—
1947C22—24no—
1948C22—24no—
1949C22—24no—
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—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—832no—
2008C22—81no—
2009C22—81no—
2010C22—81no—
2011C22—81no—
2012C22—81no—
2013C22—81no—
2014C22—81no—
2015C22—81no—
2016C22—81no—
2017C22—81no—
2018C22—81no—
2019C22—81no—
2020C22—81no—
2021C22—81no—
2022C22—81no—
2023C22—81no—
2024C22—81no—
2025C22—81no—
2026C22—81no—
2027C22—81no—
2028C22—81no—
2029C22—81no—
2030C22—81no—
2031C22—81no—
2032C22C2×#52511yescharacteristic
2033C22C2×#52511yescharacteristic
2034C22C2×#52511yescharacteristic
2035C22#345911yescharacteristic
2036C22#345911yescharacteristic
2037C22C2×D4211yescharacteristic
2038C22C2×D4211yescharacteristic
2039C22C2×D4211yescharacteristic
2040C22C2×#54611yescharacteristic
2041C22D4×#4111yescharacteristic
2042C22D4×#4111yescharacteristic
2043C22D4×#4111yescharacteristic
2044C22D4×#4111yescharacteristic
2045C22D4×#4111yescharacteristic
2046C22#347511yescharacteristic
2047C22#348111yescharacteristic
2048C22#348111yescharacteristic
2049C22#348511yescharacteristic
2050C22#348811yescharacteristic
2051C22#348811yescharacteristic
2052C22#348811yescharacteristic
2053C22#349611yescharacteristic
2054C22#349611yescharacteristic
2055C22#350511yescharacteristic
2056C22#350811yescharacteristic
2057C22#351311yescharacteristic
2058C22#351311yescharacteristic
2059C22#351411yescharacteristic
2060C22#351411yescharacteristic
2061C22#351911yescharacteristic
2062C22#352111yescharacteristic
2063C22#353711yescharacteristic
2064C22#354611yescharacteristic
2065C22#356211yescharacteristic
2066C22#356611yescharacteristic
2067C4—24no—
2068C4—24no—
2069C4—24no—
2070C4—24no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—81no—
2085C4—81no—
2086C4—81no—
2087C4—81no—
2088C4—81no—
2089C4—81no—
2090C4—81no—
2091C4—81no—
2092C2—44no—
2093C2—44no—
2094C2—44no—
2095C2—82no—
2096C2—82no—
2097C2—82no—
2098C2#3465511yescharacteristic
2099C2#3465511yescharacteristic
2100C2#3536511yescharacteristic
2101C2#3609611yescharacteristic
2102C2#3609911yescharacteristic
2103C2#3622611yescharacteristic
2104C2#3636011yescharacteristic
2105C2#3780511yescharacteristic
2106C2#3782811yescharacteristic
2107C2#4042111yescharacteristic
2108C2#4044811yescharacteristic
2109C2#5899711yescharacteristic
2110C2#5903511yescharacteristic
2111C2#5912911yescharacteristic
2112C2#5952611yescharacteristic
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×#2456C2semidirect
2. C2×#2424C2semidirect
3. C2×#2418C2semidirect
4. C2×#2358C2semidirect
5. C2×C4×#121C2semidirect
6. C2×C4×#121C2semidirect
7. #15493C2semidirect
8. #15439C2semidirect
9. #15429C2semidirect
10. #15307C2semidirect
11. #15273C2semidirect
12. #15263C2semidirect
13. #15257C2semidirect
14. #15257C2semidirect
15. #14808C2semidirect
16. #14807C2semidirect
17. #14799C2semidirect
18. #14796C2semidirect
19. #14764C2semidirect
20. #14761C2semidirect
21. #14752C2semidirect
22. #14750C2semidirect
23. #14696C2semidirect
24. #14171C2semidirect
25. #14171C2semidirect
26. #14100C2semidirect
27. #14036C2semidirect
28. #14032C2semidirect
29. #13995C2semidirect
30. #13988C2semidirect
31. #13971C2semidirect
44. C22×C4×D4C22semidirect
45. C22×C4×D4C22semidirect
48. C23×C42C22semidirect
53. C2×#399C22semidirect
56. C2×#396C22semidirect
66. C2×#392C22semidirect
74. C2×#389C22semidirect
75. C2×#389C22semidirect
83. C2×#388C22semidirect
84. C2×#388C22semidirect
85. C2×#388C22semidirect
86. C2×#388C22semidirect
87. C2×#387C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
110. C2×#385C22semidirect
111. C2×#385C22semidirect
112. C2×#385C22semidirect
113. C2×#385C22semidirect
115. C2×#380C22semidirect
116. C2×#380C22semidirect
119. C2×C4×C4⋊C4C22semidirect
120. C2×C4×C4⋊C4C22semidirect
125. C2×C4×C22⋊C4C22semidirect
126. C2×C4×C22⋊C4C22semidirect
127. #1445C22semidirect
128. #1445C22semidirect
129. #1444C22semidirect
130. #1444C22semidirect
131. #1442C22semidirect
132. #1442C22semidirect
133. #1442C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
143. #1440C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1437C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. #1436C22semidirect
186. #1434C22semidirect
187. #1434C22semidirect
188. #1434C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
365. #390D4semidirect
378. #388D4semidirect
395. #386D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24562
C2×#24242
C2×#24182
C2×#23582
C2×C4×#1212
#154932
#154392
#154292
#153072
#152732
#152632
#152572
#148082
#148072
#147992
#147962
#147642
#147612
#147522
#147502
#146962
#141712
#141002
#140362
#140322
#139952
#139882
#139712