Finite Group Databasebeta

← #774021

Subgroups — #774021

Order 512.

4328 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2561C211yesmaximal, characteristic, complemented
2C2×#2482C211yesmaximal, characteristic, complemented
3C2×#2437C211yesmaximal, characteristic, complemented
4C2×#2342C211yesmaximal, characteristic, complemented
5#16548C211yesmaximal, characteristic, complemented
6#16544C211yesmaximal, characteristic, complemented
7#15666C211yesmaximal, characteristic, complemented
8#15662C211yesmaximal, characteristic, complemented
9#15446C211yesmaximal, characteristic, complemented
10#15417C211yesmaximal, characteristic, complemented
11#15345C211yesmaximal, characteristic, complemented
12#15342C211yesmaximal, characteristic, complemented
13#15325C211yesmaximal, characteristic, complemented
14#15308C211yesmaximal, characteristic, complemented
15#15084C211yesmaximal, characteristic, complemented
16#14976C211yesmaximal, characteristic, complemented
17#14918C211yesmaximal, characteristic, complemented
18#14765C211yesmaximal, characteristic, complemented
19#14758C211yesmaximal, characteristic, complemented
20#14755C211yesmaximal, characteristic, complemented
21#14726C211yesmaximal, characteristic, complemented
22#14036C211yesmaximal, characteristic, complemented
23#14012C211yesmaximal, characteristic, complemented
24#13992C211yesmaximal, characteristic, complemented
25#13971C211yesmaximal, characteristic, complemented
26#13902C211yesmaximal, characteristic
27#13878C211yesmaximal, characteristic, complemented
28#13873C211yesmaximal, characteristic, complemented
29#13867C211yesmaximal, characteristic
30C2×#1438C211yesmaximal, characteristic
31#13814C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic, complemented
35C22×#117C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41#2561—28no—
42#2482—28no—
43#2437—28no—
44C2×#399C2211yescharacteristic, complemented
45C2×#399C2211yescharacteristic, complemented
46C2×#399C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic, complemented
48C2×#397C2211yescharacteristic, complemented
49C2×#397C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic, complemented
51C2×#396C2211yescharacteristic, complemented
52C2×#396C2211yescharacteristic, complemented
53C2×#396C2211yescharacteristic, complemented
54C2×#396C2211yescharacteristic, complemented
55C2×#395C2211yescharacteristic, complemented
56C2×#393C2211yescharacteristic, complemented
57C2×#393C2211yescharacteristic, complemented
58C2×#393C2211yescharacteristic, complemented
59#2342—28no—
60C2×#390C2211yescharacteristic
61C2×#390C2211yescharacteristic
62C2×#390C2211yescharacteristic
63C2×#390C2211yescharacteristic
64C2×#388C2211yescharacteristic, complemented
65C2×#388C2211yescharacteristic, complemented
66C2×#388C2211yescharacteristic, complemented
67C2×#388C2211yescharacteristic, complemented
68C2×#388C2211yescharacteristic, complemented
69C2×#388C2211yescharacteristic, complemented
70C2×#388C2211yescharacteristic, complemented
71C2×#388C2211yescharacteristic, complemented
72C2×#388C2211yescharacteristic, complemented
73C2×#388C2211yescharacteristic, complemented
74C2×#388C2211yescharacteristic, complemented
75C2×#388C2211yescharacteristic, complemented
76C2×#388C2211yescharacteristic, complemented
77C2×#388C2211yescharacteristic, complemented
78C2×#388C2211yescharacteristic, complemented
79C2×#388C2211yescharacteristic, complemented
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#385C2211yescharacteristic
85C2×#385C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic, complemented
89C2×#385C2211yescharacteristic, complemented
90C2×#385C2211yescharacteristic, complemented
91C2×#385C2211yescharacteristic, complemented
92C2×#381C2211yescharacteristic
93C2×#381C2211yescharacteristic
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic
98C2×#380C2211yescharacteristic, complemented
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×#379C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×C4×C4⋊C4C2211yescharacteristic, complemented
107C2×C4×C22⋊C4C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic
109C2×C4×C22⋊C4C2211yescharacteristic
110C2×C4×C22⋊C4C2211yescharacteristic, complemented
111C2×C4×C22⋊C4C2211yescharacteristic, complemented
112C22×#95C2211yescharacteristic
113C22×#95C2211yescharacteristic
114#1446C2211yescharacteristic, complemented
115#1444C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1444C2211yescharacteristic, complemented
120#1443C2211yescharacteristic, complemented
121#1443C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1440C2211yescharacteristic, complemented
135#1440C2211yescharacteristic, complemented
136#1440C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
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#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
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#1437C2211yescharacteristic, complemented
168#1437C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181C4⋊#95C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184#1434C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C26C2311yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×D4—24no—
195C23×D4—24no—
196C23×D4—24no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4—42no—
200C23×D4—42no—
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C2×C22⋊Q8—24no—
213C2×C22⋊Q8—24no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—42no—
216C2×C22⋊Q8—42no—
217C2×C22⋊Q8—42no—
218C2×#117—24no—
219C2×#117—24no—
220C2×#117—42no—
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C22⋊C4—24no—
241C22×C22⋊C4—24no—
242C22×C22⋊C4—24no—
243C22×C22⋊C4—24no—
244C22×C22⋊C4—24no—
245C22×C22⋊C4—24no—
246C22×C22⋊C4—24no—
247C22×C22⋊C4—24no—
248C22×C22⋊C4—24no—
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⋊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×C42C2311yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317#399—24no—
318#399—24no—
319#399—24no—
320#397—24no—
321#397—24no—
322#397—24no—
323#397—24no—
324#396—24no—
325#396—24no—
326#396—42no—
327#396—42no—
328#395—42no—
329#393—24no—
330#393—24no—
331#393—24no—
332#390—24no—
333#390—42no—
334#390—42no—
335#390—42no—
336#388—24no—
337#388—24no—
338#388—24no—
339#388—24no—
340#388—24no—
341#388—24no—
342#388—24no—
343#388—24no—
344#388—24no—
345#388—24no—
346#388—24no—
347#388—24no—
348#388—42no—
349#388—42no—
350#388—42no—
351#388—42no—
352#386—24no—
353#386—42no—
354#386—42no—
355#386—42no—
356#385—24no—
357#385—24no—
358#385—24no—
359#385—24no—
360#385—24no—
361#385—24no—
362#385—24no—
363#385D418yescomplemented
364#381—24no—
365#381—24no—
366#381D418yescomplemented
367#380—24no—
368#380—24no—
369#380—24no—
370#380—42no—
371#379—24no—
372#379—24no—
373#379—24no—
374#379—24no—
375#379—24no—
376#379—24no—
377#379—24no—
378C4×C4⋊C4—42no—
379C4×C22⋊C4—24no—
380C4×C22⋊C4—24no—
381C4×C22⋊C4—24no—
382C4×C22⋊C4—24no—
383C4×C22⋊C4—24no—
384C2×#95—24no—
385C2×#95—42no—
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
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
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—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25#4114yes—
476C25C2411yescharacteristic
477C25C2411yescharacteristic
478C25C2411yescharacteristic
479C25C2411yescharacteristic
480C25C2411yescharacteristic
481C22×Q8—22no—
482C22×Q8—22no—
483C22×Q8—41no—
484C22×Q8—41no—
485C22×Q8—41no—
486C22×Q8—41no—
487C22×Q8—41no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—416no—
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—416no—
517C22×D4—416no—
518C22×D4—416no—
519C22×D4—416no—
520C22×D4—416no—
521C22×D4—416no—
522C22×D4#4114yes—
523C23×C4—22no—
524C23×C4—22no—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—22no—
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—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4C2×D414yes—
569C23×C4C2×D414yes—
570C23×C4#4114yes—
571C23×C4#4114yes—
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
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
598C22⋊Q8—416no—
599C22⋊Q8—416no—
600#117—416no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
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—41no—
626C2×C4⋊C4—41no—
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×C4⋊C4—41no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4—41no—
656C2×C4⋊C4C2×D414yescomplemented
657C2×C4⋊C4C2×D414yescomplemented
658C2×C22⋊C4—232no—
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—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—416no—
762C2×C22⋊C4—416no—
763C2×C22⋊C4—416no—
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⋊C4C2×D414yes—
822C2×C22⋊C4C2×D414yes—
823C2×C22⋊C4C2×D414yes—
824C2×C22⋊C4C2×D414yes—
825C2×C42—22no—
826C2×C42—22no—
827C2×C42—22no—
828C2×C42—22no—
829C2×C42—22no—
830C2×C42—22no—
831C2×C42—22no—
832C2×C42—22no—
833C2×C42—22no—
834C2×C42—22no—
835C2×C42—22no—
836C2×C42—22no—
837C2×C42—41no—
838C2×C42—41no—
839C2×C42—41no—
840C2×C42—41no—
841C2×C42—41no—
842C2×C42—41no—
843C2×C42—41no—
844C2×C42—41no—
845C2×C42—41no—
846C2×C42—41no—
847C2×C42—41no—
848C2×C42—41no—
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—22no—
862#95—22no—
863#95—22no—
864#95—22no—
865#95—22no—
866#95—22no—
867#95—22no—
868#95—22no—
869#95—22no—
870#95—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—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#95—41no—
903#95C2×D414yescomplemented
904#95C2×D414yescomplemented
905#95C2×D414yescomplemented
906#95C2×D414yescomplemented
907#95C2×D414yescomplemented
908#95C2×D414yescomplemented
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—21no—
927C24—21no—
928C24—21no—
929C24—28no—
930C24—28no—
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—21no—
971C24—21no—
972C24—21no—
973C24—28no—
974C24—28no—
975C24—28no—
976C24—44no—
977C24—44no—
978C24—44no—
979C24—44no—
980C24—44no—
981C24—44no—
982C24—44no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—44no—
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—82no—
1018C24—82no—
1019C24—82no—
1020C24—82no—
1021C24—82no—
1022C24—82no—
1023C24—82no—
1024C24—82no—
1025C24—82no—
1026C24—82no—
1027C24—82no—
1028C24—82no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24C22×D412yes—
1042C24C22×D412yes—
1043C24C2×#4112yes—
1044C24C2×#4112yes—
1045C24C2×#4112yes—
1046C24C2×#4112yes—
1047C24C2×#4112yes—
1048C24C2×#4112yes—
1049C24C2×#4112yes—
1050C24H(5,𝔽2)12yes—
1051C24H(5,𝔽2)12yes—
1052C24H(5,𝔽2)12yes—
1053C242−1+412yes—
1054C24C2511yescharacteristic
1055C2×Q8—44no—
1056C2×Q8—44no—
1057C2×Q8—82no—
1058C2×Q8—82no—
1059C2×Q8—82no—
1060C2×Q8—82no—
1061C2×Q8—82no—
1062C2×D4—28no—
1063C2×D4—28no—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
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—4128no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—28no—
1096C22×C4—28no—
1097C22×C4—28no—
1098C22×C4—28no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
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—28no—
1196C22×C4—28no—
1197C22×C4—28no—
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—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—82no—
1285C22×C4—82no—
1286C22×C4—82no—
1287C22×C4—82no—
1288C22×C4—82no—
1289C22×C4—82no—
1290C22×C4—82no—
1291C22×C4—82no—
1292C22×C4—82no—
1293C22×C4—82no—
1294C22×C4—82no—
1295C22×C4—82no—
1296C22×C4—82no—
1297C22×C4—82no—
1298C22×C4—82no—
1299C22×C4—82no—
1300C22×C4—82no—
1301C22×C4—82no—
1302C22×C4—82no—
1303C22×C4C22×D412yes—
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D412yes—
1307C22×C4C22×D412yes—
1308C22×C4C22×D412yes—
1309C22×C4C22×D412yes—
1310C22×C4C22×D412yes—
1311C22×C4C22×D412yes—
1312C22×C4C22×D412yes—
1313C22×C4C22×D412yes—
1314C22×C4C22×D412yes—
1315C22×C4C2×#4112yes—
1316C22×C4C2×#4112yes—
1317C22×C4C2×#4112yes—
1318C22×C4C2×#4112yes—
1319C22×C4C2×#4112yes—
1320C22×C4H(5,𝔽2)12yes—
1321C22×C4H(5,𝔽2)12yes—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—82no—
1333C4⋊C4—82no—
1334C4⋊C4—82no—
1335C4⋊C4—82no—
1336C4⋊C4—82no—
1337C4⋊C4—82no—
1338C4⋊C4—82no—
1339C4⋊C4—82no—
1340C4⋊C4—82no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—82no—
1382C22⋊C4—82no—
1383C22⋊C4—82no—
1384C22⋊C4—82no—
1385C22⋊C4—82no—
1386C22⋊C4—82no—
1387C22⋊C4—82no—
1388C22⋊C4—82no—
1389C22⋊C4—82no—
1390C22⋊C4—82no—
1391C22⋊C4—82no—
1392C22⋊C4—82no—
1393C22⋊C4—82no—
1394C22⋊C4—82no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—82no—
1399C42—82no—
1400C42—82no—
1401C42—82no—
1402C42—82no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
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—416no—
1471C23—416no—
1472C23—416no—
1473C23—416no—
1474C23—416no—
1475C23—416no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
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—416no—
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—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—88no—
1578C23—88no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—88no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23#52514yes—
1601C23#53214yes—
1602C23#54214yes—
1603C23D4214yes—
1604C23#54714yes—
1605C23#54814yes—
1606C23#55114yes—
1607C23#55114yes—
1608C23C23×D411yescharacteristic
1609C23C23×D411yescharacteristic
1610C23C22×#4111yescharacteristic
1611C23C22×#4111yescharacteristic
1612C23C22×#4111yescharacteristic
1613C23C22×#4111yescharacteristic
1614C23C2×H(5,𝔽2)11yescharacteristic
1615C23C2×H(5,𝔽2)11yescharacteristic
1616C23C2×H(5,𝔽2)11yescharacteristic
1617C23C2×H(5,𝔽2)11yescharacteristic
1618C23C2×H(5,𝔽2)11yescharacteristic
1619C23C2×2−1+411yescharacteristic
1620C23#58511yescharacteristic
1621C23#58511yescharacteristic
1622C23#58511yescharacteristic
1623Q8—88no—
1624D4—416no—
1625D4—416no—
1626D4—416no—
1627D4—416no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—416no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—416no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
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—41no—
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—88no—
1812C2×C4—88no—
1813C2×C4—88no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4#55114yes—
1817C22—24no—
1818C22—24no—
1819C22—24no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—24no—
1831C22—24no—
1832C22—24no—
1833C22—24no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—832no—
1868C22—832no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22#246118yes—
1894C22C2×#52511yescharacteristic
1895C22C2×#53211yescharacteristic
1896C22C2×#54211yescharacteristic
1897C22C2×D4211yescharacteristic
1898C22C2×#54711yescharacteristic
1899C22C2×#54811yescharacteristic
1900C22D4×#4111yescharacteristic
1901C22D4×#4111yescharacteristic
1902C22C2×#55111yescharacteristic
1903C22C2×#55111yescharacteristic
1904C22C2×#55111yescharacteristic
1905C22#347511yescharacteristic
1906C22#348411yescharacteristic
1907C22#348811yescharacteristic
1908C22#348811yescharacteristic
1909C22#348811yescharacteristic
1910C22#349011yescharacteristic
1911C22#349011yescharacteristic
1912C22#349011yescharacteristic
1913C22#349011yescharacteristic
1914C22#349111yescharacteristic
1915C22#349411yescharacteristic
1916C22#349411yescharacteristic
1917C22#349611yescharacteristic
1918C22#349811yescharacteristic
1919C22#350511yescharacteristic
1920C22#350511yescharacteristic
1921C22#351011yescharacteristic
1922C22#352011yescharacteristic
1923C22#353211yescharacteristic
1924C22#353311yescharacteristic
1925C22#353511yescharacteristic
1926C22#353511yescharacteristic
1927C22#354211yescharacteristic
1928C22#356111yescharacteristic
1929C4—24no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—81no—
1947C4—81no—
1948C4—81no—
1949C4—81no—
1950C4—81no—
1951C4—81no—
1952C4—81no—
1953C4—81no—
1954C4—81no—
1955C2—28no—
1956C2—44no—
1957C2—82no—
1958C2—82no—
1959C2—82no—
1960C2C2×#246111yescharacteristic
1961C2#3568311yescharacteristic
1962C2#3592211yescharacteristic
1963C2#3622211yescharacteristic
1964C2#3626211yescharacteristic
1965C2#3839011yescharacteristic
1966C2#4056011yescharacteristic
1967C2#4302411yescharacteristic
1968C2#4388611yescharacteristic
1969C2#4393311yescharacteristic
1970C2#4395911yescharacteristic
1971C2#5899211yescharacteristic
1972C2#5913311yescharacteristic
1973C2#5919211yescharacteristic
1974C2#5927311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
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×#2561C2semidirect
2. C2×#2482C2semidirect
3. C2×#2437C2semidirect
4. C2×#2342C2semidirect
5. #16548C2semidirect
6. #16544C2semidirect
7. #15666C2semidirect
8. #15662C2semidirect
9. #15446C2semidirect
10. #15417C2semidirect
11. #15345C2semidirect
12. #15342C2semidirect
13. #15325C2semidirect
14. #15308C2semidirect
15. #15084C2semidirect
16. #14976C2semidirect
17. #14918C2semidirect
18. #14765C2semidirect
19. #14758C2semidirect
20. #14755C2semidirect
21. #14726C2semidirect
22. #14036C2semidirect
23. #14012C2semidirect
24. #13992C2semidirect
25. #13971C2semidirect
27. #13878C2semidirect
28. #13873C2semidirect
31. #13814C2semidirect
34. C22×C22⋊Q8C22semidirect
44. C2×#399C22semidirect
45. C2×#399C22semidirect
46. C2×#399C22semidirect
47. C2×#397C22semidirect
48. C2×#397C22semidirect
49. C2×#397C22semidirect
50. C2×#397C22semidirect
51. C2×#396C22semidirect
52. C2×#396C22semidirect
53. C2×#396C22semidirect
54. C2×#396C22semidirect
55. C2×#395C22semidirect
56. C2×#393C22semidirect
57. C2×#393C22semidirect
58. C2×#393C22semidirect
64. C2×#388C22semidirect
65. C2×#388C22semidirect
66. C2×#388C22semidirect
67. C2×#388C22semidirect
68. C2×#388C22semidirect
69. C2×#388C22semidirect
70. C2×#388C22semidirect
71. C2×#388C22semidirect
72. C2×#388C22semidirect
73. C2×#388C22semidirect
74. C2×#388C22semidirect
75. C2×#388C22semidirect
76. C2×#388C22semidirect
77. C2×#388C22semidirect
78. C2×#388C22semidirect
79. C2×#388C22semidirect
88. C2×#385C22semidirect
89. C2×#385C22semidirect
90. C2×#385C22semidirect
91. C2×#385C22semidirect
98. C2×#380C22semidirect
106. C2×C4×C4⋊C4C22semidirect
110. C2×C4×C22⋊C4C22semidirect
111. C2×C4×C22⋊C4C22semidirect
114. #1446C22semidirect
115. #1444C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1444C22semidirect
120. #1443C22semidirect
121. #1443C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
134. #1440C22semidirect
135. #1440C22semidirect
136. #1440C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
167. #1437C22semidirect
168. #1437C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. C4⋊#95C22semidirect
182. #1434C22semidirect
183. #1434C22semidirect
184. #1434C22semidirect
190. C4×#95C22semidirect
363. #385D4semidirect
366. #381D4semidirect
656. C2×C4⋊C4C2×D4semidirect
657. C2×C4⋊C4C2×D4semidirect
903. #95C2×D4semidirect
904. #95C2×D4semidirect
905. #95C2×D4semidirect
906. #95C2×D4semidirect
907. #95C2×D4semidirect
908. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25612
C2×#24822
C2×#24372
C2×#23422
#165482
#165442
#156662
#156622
#154462
#154172
#153452
#153422
#153252
#153082
#150842
#149762
#149182
#147652
#147582
#147552
#147262
#140362
#140122
#139922
#139712
#139022
#138782
#138732
#138672
C2×#14382
#138142