Finite Group Databasebeta

← #1016201

Subgroups — #1016201

Order 512.

5344 conjugacy classes of subgroups.

The subgroup lattice has 2243 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2778C211yesmaximal, characteristic, complemented
2C22×#392C211yesmaximal, characteristic
3#17149C211yesmaximal, characteristic, complemented
4#17095C211yesmaximal, characteristic, complemented
5#16797C211yesmaximal, characteristic, complemented
6#16535C211yesmaximal, characteristic, complemented
7#16512C211yesmaximal, characteristic, complemented
8#16341C211yesmaximal, characteristic, complemented
9#16272C211yesmaximal, characteristic, complemented
10#16270C211yesmaximal, characteristic, complemented
11#15567C211yesmaximal, characteristic, complemented
12#15420C211yesmaximal, characteristic, complemented
13#15418C211yesmaximal, characteristic, complemented
14#15376C211yesmaximal, characteristic, complemented
15#15375C211yesmaximal, characteristic, complemented
16#15304C211yesmaximal, characteristic, complemented
17C22⋊#401C211yesmaximal, characteristic, complemented
18#14738C211yesmaximal, characteristic, complemented
19#14727C211yesmaximal, characteristic, complemented
20#14724C211yesmaximal, characteristic, complemented
21#14724C211yesmaximal, characteristic, complemented
22#14533C211yesmaximal, characteristic, complemented
23#14127C211yesmaximal, characteristic, complemented
24#13991C211yesmaximal, characteristic, complemented
25#13971C211yesmaximal, characteristic, complemented
26#13971C211yesmaximal, characteristic, complemented
27#13877C211yesmaximal, characteristic, complemented
28#13867C211yesmaximal, characteristic, complemented
29#13867C211yesmaximal, characteristic, complemented
30#13867C211yesmaximal, characteristic, complemented
31#13867C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40#2778—28no—
41C2×#401C2211yescharacteristic, complemented
42C2×#400C2211yescharacteristic, complemented
43C2×#397C2211yescharacteristic, complemented
44C2×#397C2211yescharacteristic, complemented
45C2×#394C2211yescharacteristic, complemented
46C2×#394C2211yescharacteristic, complemented
47C2×#394C2211yescharacteristic, complemented
48C2×#394C2211yescharacteristic, complemented
49C2×#394C2211yescharacteristic, complemented
50C2×#394C2211yescharacteristic, complemented
51C2×#394C2211yescharacteristic, complemented
52C2×#394C2211yescharacteristic, complemented
53C2×#392—28no—
54C2×#392C2211yescharacteristic
55C2×#392C2211yescharacteristic
56C2×#392C2211yescharacteristic
57C2×#392C2211yescharacteristic
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#388C2211yescharacteristic, complemented
63C2×#388C2211yescharacteristic, complemented
64C2×#388C2211yescharacteristic, complemented
65C2×#388C2211yescharacteristic, complemented
66C2×#388C2211yescharacteristic, complemented
67C2×#388C2211yescharacteristic, complemented
68C2×#386C2211yescharacteristic, complemented
69C2×#386C2211yescharacteristic, complemented
70C2×#386C2211yescharacteristic, complemented
71C2×#386C2211yescharacteristic, complemented
72C2×#386C2211yescharacteristic, complemented
73C2×#386C2211yescharacteristic, complemented
74C2×#386C2211yescharacteristic, complemented
75C2×#386C2211yescharacteristic, complemented
76C2×#386C2211yescharacteristic, complemented
77C2×#386C2211yescharacteristic, complemented
78C2×#386C2211yescharacteristic, complemented
79C2×#386C2211yescharacteristic, complemented
80C2×#386C2211yescharacteristic, complemented
81C2×#386C2211yescharacteristic, complemented
82C2×#386C2211yescharacteristic, complemented
83C2×#386C2211yescharacteristic, complemented
84C2×#385C2211yescharacteristic
85C2×#385C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic, complemented
89C2×#385C2211yescharacteristic, complemented
90C2×#380C2211yescharacteristic, complemented
91C2×#380C2211yescharacteristic, complemented
92C2×#379C2211yescharacteristic
93C2×#379C2211yescharacteristic
94C2×#379C2211yescharacteristic
95C2×#379C2211yescharacteristic
96C2×#379C2211yescharacteristic
97C2×#379C2211yescharacteristic
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic
103C22×#95C2211yescharacteristic
104#1445C2211yescharacteristic, complemented
105#1443C2211yescharacteristic, complemented
106#1443C2211yescharacteristic, complemented
107#1443C2211yescharacteristic, complemented
108#1443C2211yescharacteristic, complemented
109#1443C2211yescharacteristic, complemented
110#1443C2211yescharacteristic, complemented
111#1443C2211yescharacteristic, complemented
112#1443C2211yescharacteristic, complemented
113#1443C2211yescharacteristic, complemented
114#1442C2211yescharacteristic, complemented
115#1442C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1441C2211yescharacteristic, complemented
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1440C2211yescharacteristic, complemented
121#1440C2211yescharacteristic, complemented
122#1440C2211yescharacteristic, complemented
123#1440C2211yescharacteristic, complemented
124#1440C2211yescharacteristic, complemented
125#1440C2211yescharacteristic, complemented
126#1440C2211yescharacteristic, complemented
127#1440C2211yescharacteristic, complemented
128#1439C2211yescharacteristic, complemented
129#1439C2211yescharacteristic, complemented
130#1439C2211yescharacteristic, complemented
131#1439C2211yescharacteristic, complemented
132#1439C2211yescharacteristic, complemented
133#1439C2211yescharacteristic, complemented
134#1439C2211yescharacteristic, complemented
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1438C2211yescharacteristic, complemented
145#1438C2211yescharacteristic, complemented
146#1438C2211yescharacteristic, complemented
147#1438C2211yescharacteristic, complemented
148#1438C2211yescharacteristic, complemented
149#1438C2211yescharacteristic, complemented
150#1438C2211yescharacteristic, complemented
151#1438C2211yescharacteristic, complemented
152#1438C2211yescharacteristic, complemented
153#1438C2211yescharacteristic, complemented
154#1438C2211yescharacteristic, complemented
155#1438C2211yescharacteristic, complemented
156#1438C2211yescharacteristic, complemented
157#1438C2211yescharacteristic, complemented
158#1438C2211yescharacteristic, complemented
159#1438C2211yescharacteristic, complemented
160#1438C2211yescharacteristic, complemented
161#1438C2211yescharacteristic, complemented
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1437C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C26C2311yescharacteristic
191C26C2311yescharacteristic
192C23×D4—24no—
193C23×D4—24no—
194C23×D4—24no—
195C23×D4—24no—
196C23×D4—24no—
197C23×D4—24no—
198C23×D4—24no—
199C23×D4—42no—
200C23×D4—42no—
201C23×D4—42no—
202C23×D4—42no—
203C23×D4—42no—
204C23×D4—42no—
205C23×D4—42no—
206C23×D4—42no—
207C23×D4—42no—
208C23×D4—42no—
209C23×D4—42no—
210C23×D4—42no—
211C23×D4—42no—
212C23×D4—42no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C22⋊C4—24no—
242C22×C22⋊C4—24no—
243C22×C22⋊C4—24no—
244C22×C22⋊C4—24no—
245C22×C22⋊C4—42no—
246C22×C22⋊C4—42no—
247C22×C22⋊C4—42no—
248C22×C22⋊C4—42no—
249C22×C22⋊C4—42no—
250C22×C22⋊C4—42no—
251C22×C22⋊C4—42no—
252C22×C22⋊C4—42no—
253C22×C22⋊C4—42no—
254C22×C22⋊C4—42no—
255C22×C22⋊C4—42no—
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×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×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322#401—24no—
323#400—24no—
324#397—24no—
325#397—42no—
326#394—24no—
327#394—24no—
328#394—42no—
329#394—42no—
330#394—42no—
331#394—42no—
332#394—42no—
333#394—42no—
334#392—24no—
335#392—24no—
336#392—24no—
337#392—24no—
338#392—24no—
339#392—24no—
340#392—24no—
341#392D418yes—
342#388—24no—
343#388—24no—
344#388—24no—
345#388—42no—
346#388—42no—
347#388—42no—
348#386—24no—
349#386—24no—
350#386—24no—
351#386—24no—
352#386—42no—
353#386—42no—
354#386—42no—
355#386—42no—
356#386—42no—
357#386—42no—
358#386—42no—
359#386—42no—
360#386—42no—
361#386—42no—
362#386—42no—
363#386—42no—
364#385—24no—
365#385—42no—
366#385—42no—
367#385—42no—
368#385—42no—
369#385—42no—
370#380—24no—
371#380—42no—
372#379—24no—
373#379—24no—
374#379—24no—
375#379—24no—
376#379—42no—
377#379—42no—
378#379—42no—
379#379—42no—
380#379—42no—
381#379—42no—
382C4×C22⋊C4—42no—
383C2×#95—24no—
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
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
442C25—22no—
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—22no—
448C25—22no—
449C25—22no—
450C25—22no—
451C25—22no—
452C25—22no—
453C25—22no—
454C25—22no—
455C25—22no—
456C25—22no—
457C25—22no—
458C25—22no—
459C25—22no—
460C25—22no—
461C25—22no—
462C25—22no—
463C25—22no—
464C25—22no—
465C25—22no—
466C25—22no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25#4114yes—
486C25#4114yes—
487C25C2411yescharacteristic
488C25C2411yescharacteristic
489C25C2411yescharacteristic
490C25C2411yescharacteristic
491C25C2411yescharacteristic
492C25C2411yescharacteristic
493C25C2411yescharacteristic
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×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—416no—
576C22×D4—416no—
577C22×D4—416no—
578C22×D4—416no—
579C22×D4—416no—
580C22×D4—416no—
581C22×D4—416no—
582C22×D4—416no—
583C22×D4—416no—
584C22×D4—416no—
585C22×D4—416no—
586C22×D4—416no—
587C22×D4—416no—
588C22×D4—416no—
589C22×D4—416no—
590C22×D4—416no—
591C22×D4—416no—
592C22×D4—416no—
593C22×D4—416no—
594C22×D4—416no—
595C22×D4—416no—
596C22×D4C2×D414yes—
597C22×D4C2×D414yes—
598C22×D4C2×D414yes—
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—22no—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—22no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
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×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×C4—41no—
654C23×C4—41no—
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
678C23×C4C2411yescharacteristic
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—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—41no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—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—416no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—416no—
817C2×C22⋊C4—416no—
818C2×C22⋊C4—416no—
819C2×C22⋊C4—416no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊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⋊C4C2×D414yes—
897C2×C22⋊C4C2×D414yes—
898C2×C22⋊C4C2×D414yes—
899C2×C22⋊C4#4114yes—
900C2×C42—22no—
901C2×C42—41no—
902C2×C42—41no—
903C2×C42—41no—
904C2×C42—41no—
905C2×C42—41no—
906#95—22no—
907#95—22no—
908#95—22no—
909#95—22no—
910#95—22no—
911#95—22no—
912#95—22no—
913#95—22no—
914#95—22no—
915#95—22no—
916#95—22no—
917#95—22no—
918#95—22no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—41no—
931#95—41no—
932#95—41no—
933#95—41no—
934#95—41no—
935#95—41no—
936#95—41no—
937#95—41no—
938#95—41no—
939#95—41no—
940#95—41no—
941#95—41no—
942#95—41no—
943#95—41no—
944#95—41no—
945#95—41no—
946#95—41no—
947#95—41no—
948#95—41no—
949#95—41no—
950#95—41no—
951#95—41no—
952#95—41no—
953#95—41no—
954#95—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959#95—41no—
960#95—41no—
961#95—41no—
962#95—41no—
963#95C2×D414yes—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—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—28no—
997C24—28no—
998C24—28no—
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—28no—
1056C24—28no—
1057C24—28no—
1058C24—28no—
1059C24—28no—
1060C24—28no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
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—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—82no—
1122C24—82no—
1123C24—82no—
1124C24—82no—
1125C24—82no—
1126C24—82no—
1127C24—82no—
1128C24—82no—
1129C24—82no—
1130C24—82no—
1131C24—82no—
1132C24—82no—
1133C24—82no—
1134C24—82no—
1135C24—82no—
1136C24—82no—
1137C24—82no—
1138C24—82no—
1139C24—82no—
1140C24—82no—
1141C24—82no—
1142C24—82no—
1143C24—82no—
1144C24—82no—
1145C24—82no—
1146C24—82no—
1147C24—82no—
1148C24—82no—
1149C24—82no—
1150C24—82no—
1151C24—82no—
1152C24—82no—
1153C24—82no—
1154C24—82no—
1155C24—82no—
1156C24—82no—
1157C24C22×D412yes—
1158C24C22×D412yes—
1159C24C22×D412yes—
1160C24C2×#4112yes—
1161C24C2×#4112yes—
1162C24C2×#4112yes—
1163C24C2×#4112yes—
1164C24C2×#4112yes—
1165C24C2×#4112yes—
1166C24C2×#4112yes—
1167C24H(5,𝔽2)12yes—
1168C24H(5,𝔽2)12yes—
1169C24H(5,𝔽2)12yes—
1170C24H(5,𝔽2)12yes—
1171C24H(5,𝔽2)12yes—
1172C24H(5,𝔽2)12yes—
1173C24H(5,𝔽2)12yes—
1174C24C2511yescharacteristic
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
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—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—4128no—
1251C2×D4—4128no—
1252C2×D4—4128no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—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—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—82no—
1453C22×C4—82no—
1454C22×C4—82no—
1455C22×C4—82no—
1456C22×C4—82no—
1457C22×C4—82no—
1458C22×C4—82no—
1459C22×C4—82no—
1460C22×C4—82no—
1461C22×C4—82no—
1462C22×C4—82no—
1463C22×C4—82no—
1464C22×C4—82no—
1465C22×C4—82no—
1466C22×C4—82no—
1467C22×C4—82no—
1468C22×C4—82no—
1469C22×C4—82no—
1470C22×C4—82no—
1471C22×C4—82no—
1472C22×C4—82no—
1473C22×C4—82no—
1474C22×C4—82no—
1475C22×C4—82no—
1476C22×C4—82no—
1477C22×C4C22×D412yes—
1478C22×C4C22×D412yes—
1479C22×C4C22×D412yes—
1480C22×C4C22×D412yes—
1481C22×C4C2×#4112yes—
1482C22×C4C2×#4112yes—
1483C22×C4H(5,𝔽2)12yes—
1484C22×C4H(5,𝔽2)12yes—
1485C22×C4H(5,𝔽2)12yes—
1486C4⋊C4—82no—
1487C4⋊C4—82no—
1488C4⋊C4—82no—
1489C4⋊C4—82no—
1490C4⋊C4—82no—
1491C4⋊C4—82no—
1492C4⋊C4—82no—
1493C4⋊C4—82no—
1494C22⋊C4—28no—
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—44no—
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—
1545C22⋊C4—82no—
1546C22⋊C4—82no—
1547C22⋊C4—82no—
1548C22⋊C4—82no—
1549C22⋊C4—82no—
1550C22⋊C4—82no—
1551C22⋊C4—82no—
1552C22⋊C4—82no—
1553C22⋊C4—82no—
1554C22⋊C4—82no—
1555C22⋊C4—82no—
1556C22⋊C4—82no—
1557C22⋊C4—82no—
1558C42—82no—
1559C42—82no—
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—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—416no—
1653C23—416no—
1654C23—416no—
1655C23—416no—
1656C23—416no—
1657C23—416no—
1658C23—416no—
1659C23—416no—
1660C23—416no—
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—41no—
1796C23—41no—
1797C23—41no—
1798C23—41no—
1799C23—41no—
1800C23—41no—
1801C23—41no—
1802C23—41no—
1803C23—41no—
1804C23—41no—
1805C23—416no—
1806C23—416no—
1807C23—88no—
1808C23—88no—
1809C23—88no—
1810C23—88no—
1811C23—88no—
1812C23—88no—
1813C23—88no—
1814C23—88no—
1815C23—88no—
1816C23—88no—
1817C23—88no—
1818C23—88no—
1819C23—88no—
1820C23—88no—
1821C23—88no—
1822C23—88no—
1823C23—88no—
1824C23—88no—
1825C23—88no—
1826C23—88no—
1827C23—88no—
1828C23—88no—
1829C23—88no—
1830C23—88no—
1831C23—88no—
1832C23—88no—
1833C23—88no—
1834C23—88no—
1835C23—88no—
1836C23—88no—
1837C23—88no—
1838C23—88no—
1839C23—88no—
1840C23—88no—
1841C23#53814yes—
1842C23#53814yes—
1843C23#53814yes—
1844C23#54614yes—
1845C23#54614yes—
1846C23#55114yes—
1847C23#55314yes—
1848C23#55314yes—
1849C23#56014yes—
1850C23C23×D411yescharacteristic
1851C23C22×#4111yescharacteristic
1852C23C22×#4111yescharacteristic
1853C23C22×#4111yescharacteristic
1854C23C2×H(5,𝔽2)11yescharacteristic
1855C23C2×H(5,𝔽2)11yescharacteristic
1856C23C2×H(5,𝔽2)11yescharacteristic
1857C23C2×H(5,𝔽2)11yescharacteristic
1858C23C2×H(5,𝔽2)11yescharacteristic
1859C23C2×H(5,𝔽2)11yescharacteristic
1860C23C2×H(5,𝔽2)11yescharacteristic
1861C23C2×H(5,𝔽2)11yescharacteristic
1862C23C2×H(5,𝔽2)11yescharacteristic
1863C23C2×H(5,𝔽2)11yescharacteristic
1864C23#58511yescharacteristic
1865D4—416no—
1866D4—416no—
1867D4—416no—
1868D4—416no—
1869D4—416no—
1870D4—416no—
1871D4—416no—
1872D4—416no—
1873D4—416no—
1874D4—416no—
1875D4—416no—
1876D4—416no—
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—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—416no—
1905C2×C4—416no—
1906C2×C4—416no—
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—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—41no—
2028C2×C4—41no—
2029C2×C4—41no—
2030C2×C4—41no—
2031C2×C4—41no—
2032C2×C4—41no—
2033C2×C4—41no—
2034C2×C4—41no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—41no—
2038C2×C4—41no—
2039C2×C4—41no—
2040C2×C4—41no—
2041C2×C4—41no—
2042C2×C4—41no—
2043C2×C4—41no—
2044C2×C4—41no—
2045C2×C4—41no—
2046C2×C4—41no—
2047C2×C4—41no—
2048C2×C4—88no—
2049C2×C4—88no—
2050C2×C4—88no—
2051C2×C4—88no—
2052C2×C4—88no—
2053C22—24no—
2054C22—24no—
2055C22—24no—
2056C22—24no—
2057C22—24no—
2058C22—24no—
2059C22—24no—
2060C22—24no—
2061C22—24no—
2062C22—24no—
2063C22—24no—
2064C22—24no—
2065C22—24no—
2066C22—24no—
2067C22—24no—
2068C22—24no—
2069C22—24no—
2070C22—24no—
2071C22—24no—
2072C22—24no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—832no—
2126C22—832no—
2127C22—832no—
2128C22—81no—
2129C22—81no—
2130C22—81no—
2131C22—81no—
2132C22—81no—
2133C22—81no—
2134C22—81no—
2135C22—81no—
2136C22—81no—
2137C22—81no—
2138C22—81no—
2139C22—81no—
2140C22—81no—
2141C22—81no—
2142C22—81no—
2143C22—81no—
2144C22—81no—
2145C22—81no—
2146C22—81no—
2147C22—81no—
2148C22—81no—
2149C22—81no—
2150C22—81no—
2151C22—81no—
2152C22—81no—
2153C22—81no—
2154C22—81no—
2155C22—81no—
2156C22—81no—
2157C22—81no—
2158C22—81no—
2159C22—81no—
2160C22#277818yescomplemented
2161C22C2×#53811yescharacteristic
2162C22C2×#53811yescharacteristic
2163C22C2×#53811yescharacteristic
2164C22C2×#54611yescharacteristic
2165C22C2×#54611yescharacteristic
2166C22D4×#4111yescharacteristic
2167C22C2×#55111yescharacteristic
2168C22C2×#55311yescharacteristic
2169C22C2×#55311yescharacteristic
2170C22#348411yescharacteristic
2171C22#348411yescharacteristic
2172C22#348411yescharacteristic
2173C22#348411yescharacteristic
2174C22#349011yescharacteristic
2175C22#349011yescharacteristic
2176C22#349011yescharacteristic
2177C22#349011yescharacteristic
2178C22#350511yescharacteristic
2179C22#350511yescharacteristic
2180C22#351911yescharacteristic
2181C22#351911yescharacteristic
2182C22#351911yescharacteristic
2183C22C2×#56011yescharacteristic
2184C22#353211yescharacteristic
2185C22#353211yescharacteristic
2186C22#353211yescharacteristic
2187C22#353211yescharacteristic
2188C22#353211yescharacteristic
2189C22#353411yescharacteristic
2190C22#353411yescharacteristic
2191C22#353411yescharacteristic
2192C22#354211yescharacteristic
2193C22#354311yescharacteristic
2194C22#354311yescharacteristic
2195C22#354311yescharacteristic
2196C4—42no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—81no—
2206C4—81no—
2207C4—81no—
2208C4—81no—
2209C4—81no—
2210C4—81no—
2211C4—81no—
2212C4—81no—
2213C4—81no—
2214C4—81no—
2215C4—81no—
2216C4—81no—
2217C4—81no—
2218C4—81no—
2219C4—81no—
2220C2—28no—
2221C2—44no—
2222C2—44no—
2223C2—82no—
2224C2—82no—
2225C2—82no—
2226C2—82no—
2227C2#3766011yescharacteristic
2228C2#3766011yescharacteristic
2229C2#3772011yescharacteristic
2230C2#4053611yescharacteristic
2231C2#4053711yescharacteristic
2232C2#4072811yescharacteristic
2233C2#4304711yescharacteristic
2234C2#4317311yescharacteristic
2235C2#4317311yescharacteristic
2236C2#4632411yescharacteristic
2237C2C2×#277811yescharacteristic
2238C2#5239711yescharacteristic
2239C2#5900611yescharacteristic
2240C2#5914211yescharacteristic
2241C2#5914211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#392C2
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×#2778C2semidirect
3. #17149C2semidirect
4. #17095C2semidirect
5. #16797C2semidirect
6. #16535C2semidirect
7. #16512C2semidirect
8. #16341C2semidirect
9. #16272C2semidirect
10. #16270C2semidirect
11. #15567C2semidirect
12. #15420C2semidirect
13. #15418C2semidirect
14. #15376C2semidirect
15. #15375C2semidirect
16. #15304C2semidirect
17. C22⋊#401C2semidirect
18. #14738C2semidirect
19. #14727C2semidirect
20. #14724C2semidirect
21. #14724C2semidirect
22. #14533C2semidirect
23. #14127C2semidirect
24. #13991C2semidirect
25. #13971C2semidirect
26. #13971C2semidirect
27. #13877C2semidirect
28. #13867C2semidirect
29. #13867C2semidirect
30. #13867C2semidirect
31. #13867C2semidirect
41. C2×#401C22semidirect
42. C2×#400C22semidirect
43. C2×#397C22semidirect
44. C2×#397C22semidirect
45. C2×#394C22semidirect
46. C2×#394C22semidirect
47. C2×#394C22semidirect
48. C2×#394C22semidirect
49. C2×#394C22semidirect
50. C2×#394C22semidirect
51. C2×#394C22semidirect
52. C2×#394C22semidirect
62. C2×#388C22semidirect
63. C2×#388C22semidirect
64. C2×#388C22semidirect
65. C2×#388C22semidirect
66. C2×#388C22semidirect
67. C2×#388C22semidirect
68. C2×#386C22semidirect
69. C2×#386C22semidirect
70. C2×#386C22semidirect
71. C2×#386C22semidirect
72. C2×#386C22semidirect
73. C2×#386C22semidirect
74. C2×#386C22semidirect
75. C2×#386C22semidirect
76. C2×#386C22semidirect
77. C2×#386C22semidirect
78. C2×#386C22semidirect
79. C2×#386C22semidirect
80. C2×#386C22semidirect
81. C2×#386C22semidirect
82. C2×#386C22semidirect
83. C2×#386C22semidirect
88. C2×#385C22semidirect
89. C2×#385C22semidirect
90. C2×#380C22semidirect
91. C2×#380C22semidirect
104. #1445C22semidirect
105. #1443C22semidirect
106. #1443C22semidirect
107. #1443C22semidirect
108. #1443C22semidirect
109. #1443C22semidirect
110. #1443C22semidirect
111. #1443C22semidirect
112. #1443C22semidirect
113. #1443C22semidirect
114. #1442C22semidirect
115. #1442C22semidirect
116. #1442C22semidirect
117. #1441C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
120. #1440C22semidirect
121. #1440C22semidirect
122. #1440C22semidirect
123. #1440C22semidirect
124. #1440C22semidirect
125. #1440C22semidirect
126. #1440C22semidirect
127. #1440C22semidirect
128. #1439C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1438C22semidirect
145. #1438C22semidirect
146. #1438C22semidirect
147. #1438C22semidirect
148. #1438C22semidirect
149. #1438C22semidirect
150. #1438C22semidirect
151. #1438C22semidirect
152. #1438C22semidirect
153. #1438C22semidirect
154. #1438C22semidirect
155. #1438C22semidirect
156. #1438C22semidirect
157. #1438C22semidirect
158. #1438C22semidirect
159. #1438C22semidirect
160. #1438C22semidirect
161. #1438C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1437C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
2160. C22#2778semidirect

Maximal subgroups

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

subgroupindex
C2×#27782
C22×#3922
#171492
#170952
#167972
#165352
#165122
#163412
#162722
#162702
#155672
#154202
#154182
#153762
#153752
#153042
C22⋊#4012
#147382
#147272
#147242
#145332
#141272
#139912
#139712
#138772
#138672