Finite Group Databasebeta

← #991663

Subgroups — #991663

Order 512.

4197 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2482C211yesmaximal, characteristic, complemented
2C2×#2412C211yesmaximal, characteristic, complemented
3#17156C211yesmaximal, characteristic, complemented
4#17094C211yesmaximal, characteristic, complemented
5#16838C211yesmaximal, characteristic, complemented
6#16809C211yesmaximal, characteristic, complemented
7#16592C211yesmaximal, characteristic, complemented
8#16535C211yesmaximal, characteristic, complemented
9#16398C211yesmaximal, characteristic, complemented
10#16270C211yesmaximal, characteristic, complemented
11#15836C211yesmaximal, characteristic, complemented
12#15634C211yesmaximal, characteristic, complemented
13#15493C211yesmaximal, characteristic, complemented
14#15442C211yesmaximal, characteristic, complemented
15#15304C211yesmaximal, characteristic, complemented
16#15293C211yesmaximal, characteristic, complemented
17#14911C211yesmaximal, characteristic, complemented
18#14738C211yesmaximal, characteristic, complemented
19#14737C211yesmaximal, characteristic, complemented
20#14718C211yesmaximal, characteristic, complemented
21#14715C211yesmaximal, characteristic
22#14520C211yesmaximal, characteristic, complemented
23#14410C211yesmaximal, characteristic, complemented
24#14135C211yesmaximal, characteristic, complemented
25#13995C211yesmaximal, characteristic, complemented
26#13991C211yesmaximal, characteristic, complemented
27#13972C211yesmaximal, characteristic, complemented
28#13877C211yesmaximal, characteristic, complemented
29#13868C211yesmaximal, characteristic, complemented
30#13867C211yesmaximal, characteristic, complemented
31C2×#1438C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#117C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42#2482—28no—
43#2412—28no—
44C2×#400C2211yescharacteristic, complemented
45C2×#399C2211yescharacteristic, complemented
46C2×#399C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic, complemented
48C2×#397C2211yescharacteristic, complemented
49C2×#397C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic, complemented
51C2×#397C2211yescharacteristic, complemented
52C2×#394C2211yescharacteristic, complemented
53C2×#394C2211yescharacteristic, complemented
54C2×#394C2211yescharacteristic, complemented
55C2×#394C2211yescharacteristic, complemented
56C2×#392C2211yescharacteristic
57C2×#392C2211yescharacteristic
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#390C2211yescharacteristic, complemented
61C2×#390C2211yescharacteristic, complemented
62C2×#388C2211yescharacteristic, complemented
63C2×#388C2211yescharacteristic, complemented
64C2×#388C2211yescharacteristic, complemented
65C2×#388C2211yescharacteristic, complemented
66C2×#388C2211yescharacteristic, complemented
67C2×#388C2211yescharacteristic, complemented
68C2×#386C2211yescharacteristic
69C2×#386C2211yescharacteristic
70C2×#386C2211yescharacteristic
71C2×#386C2211yescharacteristic
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#386C2211yescharacteristic
75C2×#386C2211yescharacteristic
76C2×#386C2211yescharacteristic, complemented
77C2×#386C2211yescharacteristic, complemented
78C2×#385C2211yescharacteristic
79C2×#385C2211yescharacteristic
80C2×#385C2211yescharacteristic
81C2×#385C2211yescharacteristic
82C2×#381C2211yescharacteristic
83C2×#381C2211yescharacteristic
84C2×#380C2211yescharacteristic, complemented
85C2×#380C2211yescharacteristic, complemented
86C2×#380C2211yescharacteristic, complemented
87C2×#380C2211yescharacteristic, complemented
88C2×#379C2211yescharacteristic
89C2×#379C2211yescharacteristic
90C2×#379C2211yescharacteristic
91C2×#379C2211yescharacteristic
92C2×#379C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94C22×#95C2211yescharacteristic
95C22×#95C2211yescharacteristic
96#1445C2211yescharacteristic, complemented
97#1445C2211yescharacteristic, complemented
98#1443C2211yescharacteristic, complemented
99#1443C2211yescharacteristic, complemented
100#1443C2211yescharacteristic, complemented
101#1443C2211yescharacteristic, complemented
102#1443C2211yescharacteristic, complemented
103#1443C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1442C2211yescharacteristic, complemented
108#1442C2211yescharacteristic, complemented
109#1442C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1440C2211yescharacteristic, complemented
114#1440C2211yescharacteristic, complemented
115#1440C2211yescharacteristic, complemented
116#1440C2211yescharacteristic, complemented
117#1440C2211yescharacteristic, complemented
118#1440C2211yescharacteristic, complemented
119#1439C2211yescharacteristic, complemented
120#1439C2211yescharacteristic, complemented
121#1439C2211yescharacteristic, complemented
122#1439C2211yescharacteristic, complemented
123#1439C2211yescharacteristic, complemented
124#1439C2211yescharacteristic, complemented
125#1439C2211yescharacteristic, complemented
126#1439C2211yescharacteristic, complemented
127#1439C2211yescharacteristic, 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#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1438C2211yescharacteristic
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
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#1437C2211yescharacteristic, complemented
165#1437C2211yescharacteristic, complemented
166#1437C2211yescharacteristic, complemented
167#1437C2211yescharacteristic, complemented
168#1437C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1434C2211yescharacteristic, complemented
179#1434C2211yescharacteristic, complemented
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C26C2311yescharacteristic
191C23×D4—24no—
192C23×D4—24no—
193C23×D4—42no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×#123—24no—
215C2×#123—24no—
216C2×#123—42no—
217C2×#120—24no—
218C2×#120—24no—
219C2×#120—42no—
220C2×#120—42no—
221C2×#120—42no—
222C2×#120—42no—
223C2×#117—24no—
224C2×#117—42no—
225C2×#117—42no—
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C22⋊C4—24no—
239C22×C22⋊C4—24no—
240C22×C22⋊C4—24no—
241C22×C22⋊C4—24no—
242C22×C22⋊C4—24no—
243C22×C22⋊C4—42no—
244C22×C22⋊C4—42no—
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⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316#400—42no—
317#399—24no—
318#399—24no—
319#397—24no—
320#397—24no—
321#397—24no—
322#397—24no—
323#397—42no—
324#394—24no—
325#394—24no—
326#394—42no—
327#394—42no—
328#392—24no—
329#392—42no—
330#392—42no—
331#392—42no—
332#390—42no—
333#390—42no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—42no—
339#388—42no—
340#386—24no—
341#386—24no—
342#386—24no—
343#386—24no—
344#386—42no—
345#386—42no—
346#386—42no—
347#386—42no—
348#386—42no—
349#386—42no—
350#385—24no—
351#385—24no—
352#385—24no—
353#385—42no—
354#381—42no—
355#381D418yescomplemented
356#380—24no—
357#380—24no—
358#380—42no—
359#380—42no—
360#379—24no—
361#379—24no—
362#379—24no—
363#379—42no—
364#379—42no—
365C4×C22⋊C4—42no—
366C2×#95—42no—
367C2×#95—42no—
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
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
430C25—22no—
431C25—22no—
432C25—22no—
433C25—22no—
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—22no—
442C25—22no—
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25—41no—
458C25—41no—
459C25#4114yes—
460C25C2411yescharacteristic
461C25C2411yescharacteristic
462C25C2411yescharacteristic
463C25C2411yescharacteristic
464C25C2411yescharacteristic
465C25C2411yescharacteristic
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—41no—
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—416no—
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—416no—
530C22×D4—416no—
531C22×D4—416no—
532C22×D4—416no—
533C22×D4—416no—
534C22×D4—416no—
535C22×D4#4114yes—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—22no—
539C23×C4—22no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—22no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—22no—
558C23×C4—22no—
559C23×C4—22no—
560C23×C4—22no—
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4C2×D414yes—
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610#123—416no—
611#120—416no—
612#120—416no—
613#117—416no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—22no—
620C2×C4⋊C4—22no—
621C2×C4⋊C4—22no—
622C2×C4⋊C4—22no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—22no—
626C2×C4⋊C4—22no—
627C2×C4⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
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—416no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
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—416no—
775C2×C22⋊C4—416no—
776C2×C22⋊C4—416no—
777C2×C22⋊C4—416no—
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—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—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⋊C4C2×D414yes—
830C2×C22⋊C4C2×D414yes—
831C2×C22⋊C4#4114yes—
832C2×C42—22no—
833C2×C42—22no—
834C2×C42—22no—
835C2×C42—41no—
836C2×C42—41no—
837C2×C42—41no—
838C2×C42—41no—
839C2×C42—41no—
840C2×C42—41no—
841C2×C42—41no—
842C2×C42—41no—
843C2×C42—41no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95—41no—
886#95—41no—
887#95—41no—
888#95—41no—
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#95C2×D414yescomplemented
903#95C2×D414yescomplemented
904#95C2×D414yescomplemented
905#95C2×D414yescomplemented
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—28no—
927C24—28no—
928C24—21no—
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—21no—
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—28no—
971C24—28no—
972C24—28no—
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—44no—
989C24—44no—
990C24—44no—
991C24—44no—
992C24—44no—
993C24—44no—
994C24—44no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—44no—
1012C24—44no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24—82no—
1042C24—82no—
1043C24—82no—
1044C24—82no—
1045C24—82no—
1046C24—82no—
1047C24—82no—
1048C24—82no—
1049C24—82no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24C22×D412yes—
1054C24C2×#4112yes—
1055C24C2×#4112yes—
1056C24C2×#4112yes—
1057C24C2×#4112yes—
1058C24C2×#4112yes—
1059C24C2×#4112yes—
1060C24H(5,𝔽2)12yes—
1061C24H(5,𝔽2)12yes—
1062C24H(5,𝔽2)12yes—
1063C24H(5,𝔽2)12yes—
1064C24H(5,𝔽2)12yes—
1065C24H(5,𝔽2)12yes—
1066C24C2511yescharacteristic
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—44no—
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—4128no—
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—82no—
1112C2×D4—82no—
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—
1131C22×C4—28no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—82no—
1326C22×C4—82no—
1327C22×C4—82no—
1328C22×C4—82no—
1329C22×C4—82no—
1330C22×C4—82no—
1331C22×C4—82no—
1332C22×C4—82no—
1333C22×C4—82no—
1334C22×C4—82no—
1335C22×C4—82no—
1336C22×C4—82no—
1337C22×C4—82no—
1338C22×C4—82no—
1339C22×C4—82no—
1340C22×C4—82no—
1341C22×C4—82no—
1342C22×C4—82no—
1343C22×C4—82no—
1344C22×C4C22×D412yes—
1345C22×C4C22×D412yes—
1346C22×C4C22×D412yes—
1347C22×C4C22×D412yes—
1348C22×C4C22×D412yes—
1349C22×C4C22×D412yes—
1350C22×C4C2×#4112yes—
1351C22×C4C2×#4112yes—
1352C22×C4C2×#4112yes—
1353C22×C4H(5,𝔽2)12yes—
1354C22×C4H(5,𝔽2)12yes—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—82no—
1360C4⋊C4—82no—
1361C4⋊C4—82no—
1362C4⋊C4—82no—
1363C4⋊C4—82no—
1364C4⋊C4—82no—
1365C4⋊C4—82no—
1366C4⋊C4—82no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—82no—
1405C22⋊C4—82no—
1406C22⋊C4—82no—
1407C22⋊C4—82no—
1408C22⋊C4—82no—
1409C22⋊C4—82no—
1410C22⋊C4—82no—
1411C22⋊C4—82no—
1412C22⋊C4—82no—
1413C22⋊C4—82no—
1414C22⋊C4—82no—
1415C22⋊C4—82no—
1416C22⋊C4—82no—
1417C22⋊C4—82no—
1418C22⋊C4—82no—
1419C22⋊C4—82no—
1420C22⋊C4—82no—
1421C22⋊C4—82no—
1422C22⋊C4—82no—
1423C22⋊C4—82no—
1424C22⋊C4—82no—
1425C22⋊C4—82no—
1426C42—44no—
1427C42—44no—
1428C42—82no—
1429C42—82no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
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—416no—
1498C23—416no—
1499C23—416no—
1500C23—416no—
1501C23—416no—
1502C23—416no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—416no—
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—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—88no—
1660C23—88no—
1661C23—88no—
1662C23#53514yes—
1663C23#53814yes—
1664C23#54014yes—
1665C23#54614yes—
1666C23#54614yes—
1667C23#55114yes—
1668C23#55314yes—
1669C23#56014yes—
1670C23C23×D411yescharacteristic
1671C23C22×#4111yescharacteristic
1672C23C22×#4111yescharacteristic
1673C23C22×#4111yescharacteristic
1674C23C2×H(5,𝔽2)11yescharacteristic
1675C23C2×H(5,𝔽2)11yescharacteristic
1676C23C2×H(5,𝔽2)11yescharacteristic
1677C23C2×H(5,𝔽2)11yescharacteristic
1678C23C2×H(5,𝔽2)11yescharacteristic
1679C23C2×H(5,𝔽2)11yescharacteristic
1680C23C2×H(5,𝔽2)11yescharacteristic
1681C23C2×H(5,𝔽2)11yescharacteristic
1682C23#58511yescharacteristic
1683C23#58511yescharacteristic
1684C23#58511yescharacteristic
1685D4—416no—
1686D4—416no—
1687D4—416no—
1688D4—416no—
1689D4—88no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—416no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—416no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
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—88no—
1872C2×C4—88no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C2×C4—88no—
1876C22—24no—
1877C22—24no—
1878C22—24no—
1879C22—24no—
1880C22—24no—
1881C22—24no—
1882C22—24no—
1883C22—24no—
1884C22—24no—
1885C22—24no—
1886C22—24no—
1887C22—24no—
1888C22—24no—
1889C22—24no—
1890C22—24no—
1891C22—24no—
1892C22—24no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—832no—
1927C22—832no—
1928C22—81no—
1929C22—81no—
1930C22—81no—
1931C22—81no—
1932C22—81no—
1933C22—81no—
1934C22—81no—
1935C22—81no—
1936C22—81no—
1937C22—81no—
1938C22—81no—
1939C22—81no—
1940C22—81no—
1941C22—81no—
1942C22—81no—
1943C22—81no—
1944C22—81no—
1945C22—81no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22#270318yes—
1968C22C2×#53511yescharacteristic
1969C22C2×#53811yescharacteristic
1970C22C2×#54011yescharacteristic
1971C22C2×#54611yescharacteristic
1972C22C2×#54611yescharacteristic
1973C22D4×#4111yescharacteristic
1974C22C2×#55111yescharacteristic
1975C22C2×#55311yescharacteristic
1976C22#348111yescharacteristic
1977C22#348811yescharacteristic
1978C22#348811yescharacteristic
1979C22#349011yescharacteristic
1980C22#349011yescharacteristic
1981C22#349011yescharacteristic
1982C22#349111yescharacteristic
1983C22#349811yescharacteristic
1984C22#350511yescharacteristic
1985C22#351311yescharacteristic
1986C22#351311yescharacteristic
1987C22#351311yescharacteristic
1988C22#351311yescharacteristic
1989C22#351411yescharacteristic
1990C22C2×#56011yescharacteristic
1991C22#353211yescharacteristic
1992C22#353211yescharacteristic
1993C22#353211yescharacteristic
1994C22#353211yescharacteristic
1995C22#353311yescharacteristic
1996C22#353411yescharacteristic
1997C22#353411yescharacteristic
1998C22#353411yescharacteristic
1999C22#354211yescharacteristic
2000C22#354211yescharacteristic
2001C22#354211yescharacteristic
2002C22#354511yescharacteristic
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—81no—
2015C4—81no—
2016C4—81no—
2017C4—81no—
2018C4—81no—
2019C4—81no—
2020C4—81no—
2021C4—81no—
2022C4—81no—
2023C4—81no—
2024C4—81no—
2025C4—81no—
2026C4—81no—
2027C4—81no—
2028C2—28no—
2029C2—44no—
2030C2—82no—
2031C2—82no—
2032C2—82no—
2033C2—161no—
2034C2#3784811yescharacteristic
2035C2#3836611yescharacteristic
2036C2#3853411yescharacteristic
2037C2#4055611yescharacteristic
2038C2#4075811yescharacteristic
2039C2#4193411yescharacteristic
2040C2#4317211yescharacteristic
2041C2#4393211yescharacteristic
2042C2#4400111yescharacteristic
2043C2#4633411yescharacteristic
2044C2C2×#270311yescharacteristic
2045C2#5239711yescharacteristic
2046C2#5901111yescharacteristic
2047C2#5980011yescharacteristic
2048C2#5985111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14715C2
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×#2482C2semidirect
2. C2×#2412C2semidirect
3. #17156C2semidirect
4. #17094C2semidirect
5. #16838C2semidirect
6. #16809C2semidirect
7. #16592C2semidirect
8. #16535C2semidirect
9. #16398C2semidirect
10. #16270C2semidirect
11. #15836C2semidirect
12. #15634C2semidirect
13. #15493C2semidirect
14. #15442C2semidirect
15. #15304C2semidirect
16. #15293C2semidirect
17. #14911C2semidirect
18. #14738C2semidirect
19. #14737C2semidirect
20. #14718C2semidirect
22. #14520C2semidirect
23. #14410C2semidirect
24. #14135C2semidirect
25. #13995C2semidirect
26. #13991C2semidirect
27. #13972C2semidirect
28. #13877C2semidirect
29. #13868C2semidirect
30. #13867C2semidirect
31. C2×#1438C2semidirect
44. C2×#400C22semidirect
45. C2×#399C22semidirect
46. C2×#399C22semidirect
47. C2×#397C22semidirect
48. C2×#397C22semidirect
49. C2×#397C22semidirect
50. C2×#397C22semidirect
51. C2×#397C22semidirect
52. C2×#394C22semidirect
53. C2×#394C22semidirect
54. C2×#394C22semidirect
55. C2×#394C22semidirect
60. C2×#390C22semidirect
61. C2×#390C22semidirect
62. C2×#388C22semidirect
63. C2×#388C22semidirect
64. C2×#388C22semidirect
65. C2×#388C22semidirect
66. C2×#388C22semidirect
67. C2×#388C22semidirect
76. C2×#386C22semidirect
77. C2×#386C22semidirect
84. C2×#380C22semidirect
85. C2×#380C22semidirect
86. C2×#380C22semidirect
87. C2×#380C22semidirect
96. #1445C22semidirect
97. #1445C22semidirect
98. #1443C22semidirect
99. #1443C22semidirect
100. #1443C22semidirect
101. #1443C22semidirect
102. #1443C22semidirect
103. #1443C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1442C22semidirect
107. #1442C22semidirect
108. #1442C22semidirect
109. #1442C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
113. #1440C22semidirect
114. #1440C22semidirect
115. #1440C22semidirect
116. #1440C22semidirect
117. #1440C22semidirect
118. #1440C22semidirect
119. #1439C22semidirect
120. #1439C22semidirect
121. #1439C22semidirect
122. #1439C22semidirect
123. #1439C22semidirect
124. #1439C22semidirect
125. #1439C22semidirect
126. #1439C22semidirect
127. #1439C22semidirect
128. #1439C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
156. #1438C22semidirect
157. #1438C22semidirect
158. #1438C22semidirect
159. #1438C22semidirect
160. #1438C22semidirect
161. #1438C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1437C22semidirect
165. #1437C22semidirect
166. #1437C22semidirect
167. #1437C22semidirect
168. #1437C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1434C22semidirect
179. #1434C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
355. #381D4semidirect
902. #95C2×D4semidirect
903. #95C2×D4semidirect
904. #95C2×D4semidirect
905. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24822
C2×#24122
#171562
#170942
#168382
#168092
#165922
#165352
#163982
#162702
#158362
#156342
#154932
#154422
#153042
#152932
#149112
#147382
#147372
#147182
#147152
#145202
#144102
#141352
#139952
#139912
#139722
#138772
#138682
#138672
C2×#14382