Finite Group Databasebeta

← #5474337

Subgroups — #5474337

Order 512.

3633 conjugacy classes of subgroups.

The subgroup lattice has 2126 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2818C211yesmaximal, characteristic, complemented
2C2×#2412C211yesmaximal, characteristic, complemented
3#17147C211yesmaximal, characteristic, complemented
4#17146C211yesmaximal, characteristic, complemented
5#17139C211yesmaximal, characteristic, complemented
6#17138C211yesmaximal, characteristic, complemented
7#17090C211yesmaximal, characteristic, complemented
8#16512C211yesmaximal, characteristic, complemented
9#16284C211yesmaximal, characteristic, complemented
10#16268C211yesmaximal, characteristic, complemented
11#16266C211yesmaximal, characteristic, complemented
12#16266C211yesmaximal, characteristic, complemented
13#16260C211yesmaximal, characteristic, complemented
14#16258C211yesmaximal, characteristic, complemented
15#16250C211yesmaximal, characteristic, complemented
16#16004C211yesmaximal, characteristic, complemented
17#16004C211yesmaximal, characteristic, complemented
18#15994C211yesmaximal, characteristic, complemented
19#15987C211yesmaximal, characteristic, complemented
20#15376C211yesmaximal, characteristic, complemented
21#15313C211yesmaximal, characteristic, complemented
22#15273C211yesmaximal, characteristic, complemented
23#15270C211yesmaximal, characteristic, complemented
24#15263C211yesmaximal, characteristic, complemented
25#15258C211yesmaximal, characteristic, complemented
26#15257C211yesmaximal, characteristic, complemented
27#14725C211yesmaximal, characteristic, complemented
28#14718C211yesmaximal, characteristic, complemented
29#14716C211yesmaximal, characteristic, complemented
30#14716C211yesmaximal, characteristic, complemented
31#14622C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#126C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44#2818—28no—
45#2412—28no—
46C2×#397C2211yescharacteristic
47C2×#397C2211yescharacteristic
48C2×#394C2211yescharacteristic
49C2×#394C2211yescharacteristic
50C2×#394C2211yescharacteristic
51C2×#394C2211yescharacteristic
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic, complemented
55C2×#394C2211yescharacteristic, complemented
56C2×#394C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic, complemented
58C2×#394C2211yescharacteristic, complemented
59C2×#394C2211yescharacteristic, complemented
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64C2×#392C2211yescharacteristic
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic
67C2×#392C2211yescharacteristic
68C2×#392C2211yescharacteristic
69C2×#392C2211yescharacteristic
70C2×#392C2211yescharacteristic
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic, complemented
73C2×#392C2211yescharacteristic, complemented
74C2×#392C2211yescharacteristic, complemented
75C2×#386C2211yescharacteristic
76C2×#386C2211yescharacteristic
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic, complemented
89C2×#386C2211yescharacteristic, complemented
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic, complemented
93C2×#383C2211yescharacteristic, complemented
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic
98C2×#379C2211yescharacteristic
99#1445C2211yescharacteristic, complemented
100#1445C2211yescharacteristic, complemented
101#1445C2211yescharacteristic, complemented
102#1443C2211yescharacteristic, complemented
103#1443C2211yescharacteristic, complemented
104#1443C2211yescharacteristic, complemented
105#1443C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1442C2211yescharacteristic, complemented
108#1442C2211yescharacteristic, complemented
109#1442C2211yescharacteristic, complemented
110#1442C2211yescharacteristic, complemented
111#1442C2211yescharacteristic, complemented
112#1442C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1441C2211yescharacteristic, complemented
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic, complemented
123#1440C2211yescharacteristic, complemented
124#1440C2211yescharacteristic, complemented
125#1440C2211yescharacteristic, complemented
126#1440C2211yescharacteristic, complemented
127#1440C2211yescharacteristic, complemented
128#1440C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic, complemented
174#1438C2211yescharacteristic, complemented
175#1438C2211yescharacteristic, complemented
176#1438C2211yescharacteristic, complemented
177#1438C2211yescharacteristic, complemented
178#1438C2211yescharacteristic, complemented
179#1438C2211yescharacteristic, complemented
180#1437C2211yescharacteristic
181#1437C2211yescharacteristic
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×#127—24no—
214C2×#127—42no—
215C2×#127—42no—
216C2×#126—24no—
217C2×#126—42no—
218C2×#126—42no—
219C2×#123—24no—
220C2×#123—42no—
221C2×#123—42no—
222C2×#121—42no—
223C2×#121—42no—
224C2×#121—42no—
225C2×#121—42no—
226C2×#121—42no—
227C2×#121—42no—
228C2×#121—42no—
229C2×#121—42no—
230C2×#121—42no—
231C2×#120—24no—
232C2×#120—42no—
233C2×#120—42no—
234C2×#120—42no—
235C2×#120—42no—
236C2×#120—42no—
237C2×#120—42no—
238C2×#120—42no—
239C2×#120—42no—
240C2×#120—42no—
241C2×#120—42no—
242C2×#120—42no—
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—42no—
257C22×C22⋊C4—42no—
258C22×C22⋊C4—42no—
259C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
321C22×C42C2311yescharacteristic
322#397—24no—
323#397—24no—
324#394—24no—
325#394—24no—
326#394—24no—
327#394—24no—
328#394—24no—
329#394—24no—
330#394—42no—
331#394—42no—
332#394—42no—
333#394—42no—
334#394—42no—
335#394D418yescomplemented
336#392—24no—
337#392—24no—
338#392—24no—
339#392—24no—
340#392—24no—
341#392—24no—
342#392—42no—
343#392—42no—
344#392—42no—
345#392—42no—
346#392—42no—
347#392—42no—
348#392—42no—
349#392—42no—
350#392—42no—
351#386—24no—
352#386—24no—
353#386—24no—
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#386—42no—
365#386—42no—
366#385—24no—
367#385—42no—
368#385—42no—
369#383—24no—
370#381—24no—
371#380—24no—
372#380—24no—
373#380—42no—
374#379—42no—
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
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
433C25—22no—
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—41no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25C2411yescharacteristic
449C25C2411yescharacteristic
450C25C2411yescharacteristic
451C25C2411yescharacteristic
452C25C2411yescharacteristic
453C25C2411yescharacteristic
454C25C2411yescharacteristic
455C22×D4—22no—
456C22×D4—22no—
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
467C22×D4—22no—
468C22×D4—22no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—41no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4—41no—
505C22×D4—41no—
506C22×D4—41no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4C2×D414yes—
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—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4—41no—
602C23×C4—41no—
603C23×C4—41no—
604C23×C4—41no—
605C23×C4—41no—
606C23×C4—41no—
607C23×C4—41no—
608C23×C4—41no—
609C23×C4—41no—
610C23×C4—41no—
611C23×C4—41no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640#127—416no—
641#126—416no—
642#123—416no—
643#121—416no—
644#121—416no—
645#121—416no—
646#120—416no—
647#120—416no—
648#120—416no—
649#120—416no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—22no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—41no—
661C2×C4⋊C4—41no—
662C2×C4⋊C4—41no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4—41no—
665C2×C4⋊C4—41no—
666C2×C4⋊C4—41no—
667C2×C4⋊C4—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4—41no—
670C2×C4⋊C4—41no—
671C2×C4⋊C4—41no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4C2×D414yes—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—416no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—416no—
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—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4C2×D414yes—
865C2×C22⋊C4C2×D414yes—
866C2×C22⋊C4C2×D414yes—
867C2×C22⋊C4C2×D414yes—
868C2×C42—22no—
869C2×C42—22no—
870C2×C42—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—22no—
881#95—22no—
882#95—22no—
883#95—22no—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95—41no—
890#95—41no—
891#95—41no—
892#95—41no—
893#95—41no—
894#95—41no—
895#95—41no—
896#95—41no—
897#95—41no—
898#95—41no—
899#95—41no—
900#95—41no—
901#95—41no—
902#95—41no—
903#95—41no—
904#95—41no—
905#95—41no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95—41no—
915#95—41no—
916#95—41no—
917#95—41no—
918#95—41no—
919#95—41no—
920#95—41no—
921#95—41no—
922#95—41no—
923#95—41no—
924#95—41no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95C2×D414yes—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—28no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—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—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—82no—
1044C24—82no—
1045C24—82no—
1046C24—82no—
1047C24—82no—
1048C24—82no—
1049C24—82no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24—82no—
1054C24—82no—
1055C24—82no—
1056C24—82no—
1057C24—82no—
1058C24—82no—
1059C24—82no—
1060C24—82no—
1061C24C22×D412yes—
1062C24C22×D412yes—
1063C24H(5,𝔽2)12yes—
1064C24H(5,𝔽2)12yes—
1065C24H(5,𝔽2)12yes—
1066C24H(5,𝔽2)12yes—
1067C24H(5,𝔽2)12yes—
1068C24H(5,𝔽2)12yes—
1069C24C2511yescharacteristic
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—82no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—82no—
1185C2×D4—82no—
1186C2×D4—82no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
1190C2×D4—82no—
1191C2×D4—82no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—82no—
1195C2×D4—82no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—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—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—82no—
1368C22×C4—82no—
1369C22×C4—82no—
1370C22×C4—82no—
1371C22×C4—82no—
1372C22×C4—82no—
1373C22×C4—82no—
1374C22×C4—82no—
1375C22×C4—82no—
1376C22×C4—82no—
1377C22×C4—82no—
1378C22×C4—82no—
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×C4C22×D412yes—
1391C22×C4C22×D412yes—
1392C22×C4C22×D412yes—
1393C22×C4C22×D412yes—
1394C22×C4C22×D412yes—
1395C22×C4H(5,𝔽2)12yes—
1396C22×C4H(5,𝔽2)12yes—
1397C22×C4H(5,𝔽2)12yes—
1398C22×C4H(5,𝔽2)12yes—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—82no—
1408C4⋊C4—82no—
1409C4⋊C4—82no—
1410C22⋊C4—28no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—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—82no—
1444C22⋊C4—82no—
1445C22⋊C4—82no—
1446C22⋊C4—82no—
1447C22⋊C4—82no—
1448C22⋊C4—82no—
1449C22⋊C4—82no—
1450C22⋊C4—82no—
1451C22⋊C4—82no—
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—
1471C42—28no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—416no—
1523C23—416no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—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—88no—
1718C23—88no—
1719C23—88no—
1720C23—88no—
1721C23—88no—
1722C23—88no—
1723C23—88no—
1724C23—88no—
1725C23—88no—
1726C23—88no—
1727C23—88no—
1728C23—88no—
1729C23—88no—
1730C23#56014yes—
1731C23#56014yes—
1732C23C23×D411yescharacteristic
1733C23C2×H(5,𝔽2)11yescharacteristic
1734C23C2×H(5,𝔽2)11yescharacteristic
1735C23C2×H(5,𝔽2)11yescharacteristic
1736C23C2×H(5,𝔽2)11yescharacteristic
1737C23C2×H(5,𝔽2)11yescharacteristic
1738C23C2×H(5,𝔽2)11yescharacteristic
1739C23C2×H(5,𝔽2)11yescharacteristic
1740C23C2×H(5,𝔽2)11yescharacteristic
1741C23C2×H(5,𝔽2)11yescharacteristic
1742C23C2×H(5,𝔽2)11yescharacteristic
1743C23#58511yescharacteristic
1744C23#58511yescharacteristic
1745C23#58511yescharacteristic
1746C23#58511yescharacteristic
1747D4—88no—
1748D4—88no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—88no—
1753D4—88no—
1754D4—88no—
1755D4—88no—
1756D4—88no—
1757D4—88no—
1758D4—88no—
1759D4—88no—
1760D4—88no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4—88no—
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—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—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—88no—
1934C2×C4—88no—
1935C2×C4—88no—
1936C2×C4—88no—
1937C2×C4—88no—
1938C22—24no—
1939C22—24no—
1940C22—24no—
1941C22—24no—
1942C22—24no—
1943C22—24no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—832no—
1983C22—81no—
1984C22—81no—
1985C22—81no—
1986C22—81no—
1987C22—81no—
1988C22—81no—
1989C22—81no—
1990C22—81no—
1991C22—81no—
1992C22—81no—
1993C22—81no—
1994C22—81no—
1995C22—81no—
1996C22—81no—
1997C22—81no—
1998C22—81no—
1999C22—81no—
2000C22—81no—
2001C22—81no—
2002C22—81no—
2003C22—81no—
2004C22—81no—
2005C22—81no—
2006C22—81no—
2007C22—81no—
2008C22—81no—
2009C22—81no—
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—
2032C22—81no—
2033C22—81no—
2034C22—81no—
2035C22—81no—
2036C22—81no—
2037C22—81no—
2038C22—81no—
2039C22—81no—
2040C22—81no—
2041C22—81no—
2042C22—81no—
2043C22—81no—
2044C22#348411yescharacteristic
2045C22#348411yescharacteristic
2046C22#348411yescharacteristic
2047C22#348811yescharacteristic
2048C22#348811yescharacteristic
2049C22#348811yescharacteristic
2050C22#349611yescharacteristic
2051C22C2×#56011yescharacteristic
2052C22C2×#56011yescharacteristic
2053C22#353211yescharacteristic
2054C22#353211yescharacteristic
2055C22#353211yescharacteristic
2056C22#353211yescharacteristic
2057C22#353311yescharacteristic
2058C22#353311yescharacteristic
2059C22#353311yescharacteristic
2060C22#353311yescharacteristic
2061C22#353411yescharacteristic
2062C22#353411yescharacteristic
2063C22#353411yescharacteristic
2064C22#353411yescharacteristic
2065C22#353711yescharacteristic
2066C22#353711yescharacteristic
2067C22#354211yescharacteristic
2068C22#354211yescharacteristic
2069C22#354211yescharacteristic
2070C22#354211yescharacteristic
2071C22#354211yescharacteristic
2072C22#354211yescharacteristic
2073C22#354311yescharacteristic
2074C22#354311yescharacteristic
2075C22#355111yescharacteristic
2076C22#355811yescharacteristic
2077C22#355811yescharacteristic
2078C22#356011yescharacteristic
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—81no—
2089C4—81no—
2090C4—81no—
2091C4—81no—
2092C4—81no—
2093C4—81no—
2094C4—81no—
2095C4—81no—
2096C4—81no—
2097C4—81no—
2098C4—81no—
2099C4—81no—
2100C4—81no—
2101C4—81no—
2102C4—81no—
2103C2—44no—
2104C2—44no—
2105C2—82no—
2106C2—82no—
2107C2—161no—
2108C2—161no—
2109C2—161no—
2110C2#4544411yescharacteristic
2111C2#4545511yescharacteristic
2112C2#4635111yescharacteristic
2113C2#4793411yescharacteristic
2114C2#5106011yescharacteristic
2115C2#5188911yescharacteristic
2116C2#5189511yescharacteristic
2117C2#5230811yescharacteristic
2118C2#5231511yescharacteristic
2119C2#5237211yescharacteristic
2120C2#5237211yescharacteristic
2121C2#5484711yescharacteristic
2122C2#5501211yescharacteristic
2123C2#5503511yescharacteristic
2124C2#5582511yescharacteristic
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×#2818C2semidirect
2. C2×#2412C2semidirect
3. #17147C2semidirect
4. #17146C2semidirect
5. #17139C2semidirect
6. #17138C2semidirect
7. #17090C2semidirect
8. #16512C2semidirect
9. #16284C2semidirect
10. #16268C2semidirect
11. #16266C2semidirect
12. #16266C2semidirect
13. #16260C2semidirect
14. #16258C2semidirect
15. #16250C2semidirect
16. #16004C2semidirect
17. #16004C2semidirect
18. #15994C2semidirect
19. #15987C2semidirect
20. #15376C2semidirect
21. #15313C2semidirect
22. #15273C2semidirect
23. #15270C2semidirect
24. #15263C2semidirect
25. #15258C2semidirect
26. #15257C2semidirect
27. #14725C2semidirect
28. #14718C2semidirect
29. #14716C2semidirect
30. #14716C2semidirect
31. #14622C2semidirect
33. C22×#126C22semidirect
54. C2×#394C22semidirect
55. C2×#394C22semidirect
56. C2×#394C22semidirect
57. C2×#394C22semidirect
58. C2×#394C22semidirect
59. C2×#394C22semidirect
72. C2×#392C22semidirect
73. C2×#392C22semidirect
74. C2×#392C22semidirect
88. C2×#386C22semidirect
89. C2×#386C22semidirect
92. C2×#385C22semidirect
93. C2×#383C22semidirect
99. #1445C22semidirect
100. #1445C22semidirect
101. #1445C22semidirect
102. #1443C22semidirect
103. #1443C22semidirect
104. #1443C22semidirect
105. #1443C22semidirect
106. #1442C22semidirect
107. #1442C22semidirect
108. #1442C22semidirect
109. #1442C22semidirect
110. #1442C22semidirect
111. #1442C22semidirect
112. #1442C22semidirect
113. #1441C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1441C22semidirect
122. #1440C22semidirect
123. #1440C22semidirect
124. #1440C22semidirect
125. #1440C22semidirect
126. #1440C22semidirect
127. #1440C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
173. #1438C22semidirect
174. #1438C22semidirect
175. #1438C22semidirect
176. #1438C22semidirect
177. #1438C22semidirect
178. #1438C22semidirect
179. #1438C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
188. C22⋊#95C22semidirect
335. #394D4semidirect

Maximal subgroups

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

subgroupindex
C2×#28182
C2×#24122
#171472
#171462
#171392
#171382
#170902
#165122
#162842
#162682
#162662
#162602
#162582
#162502
#160042
#159942
#159872
#153762
#153132
#152732
#152702
#152632
#152582
#152572
#147252
#147182
#147162
#146222