Finite Group Databasebeta

← #1083364

Subgroups — #1083364

Order 512.

3912 conjugacy classes of subgroups.

The subgroup lattice has 1967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2681C211yesmaximal, characteristic, complemented
2C2×#2534C211yesmaximal, characteristic, complemented
3C2×#2415C211yesmaximal, characteristic, complemented
4C2×#2424C211yesmaximal, characteristic
5C2×#2437C211yesmaximal, characteristic, complemented
6C2×#2324C211yesmaximal, characteristic, complemented
7#16552C211yesmaximal, characteristic, complemented
8#16401C211yesmaximal, characteristic, complemented
9#16265C211yesmaximal, characteristic, complemented
10#15631C211yesmaximal, characteristic, complemented
11#15616C211yesmaximal, characteristic, complemented
12#15493C211yesmaximal, characteristic, complemented
13#15436C211yesmaximal, characteristic, complemented
14#15323C211yesmaximal, characteristic, complemented
15#15309C211yesmaximal, characteristic, complemented
16#15303C211yesmaximal, characteristic, complemented
17#15300C211yesmaximal, characteristic, complemented
18#15274C211yesmaximal, characteristic, complemented
19#15271C211yesmaximal, characteristic, complemented
20#15268C211yesmaximal, characteristic, complemented
21#15268C211yesmaximal, characteristic, complemented
22#15129C211yesmaximal, characteristic, complemented
23#15126C211yesmaximal, characteristic, complemented
24#14890C211yesmaximal, characteristic, complemented
25#14870C211yesmaximal, characteristic, complemented
26#14733C211yesmaximal, characteristic, complemented
27#14725C211yesmaximal, characteristic, complemented
28#14402C211yesmaximal, characteristic, complemented
29#14364C211yesmaximal, characteristic, complemented
30#14112C211yesmaximal, characteristic, complemented
31#13873C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic, complemented
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×#117C2211yescharacteristic, complemented
43C23×C22⋊C4C2211yescharacteristic
44C23×C22⋊C4C2211yescharacteristic
45#2681—28no—
46#2534—28no—
47#2437—28no—
48#2424—28no—
49#2415—28no—
50C2×#399C2211yescharacteristic
51C2×#398C2211yescharacteristic, complemented
52C2×#398C2211yescharacteristic, complemented
53C2×#397C2211yescharacteristic, complemented
54C2×#397C2211yescharacteristic, complemented
55C2×#396C2211yescharacteristic
56C2×#396C2211yescharacteristic
57C2×#396C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#396C2211yescharacteristic
60C2×#396C2211yescharacteristic
61C2×#396C2211yescharacteristic
62C2×#396C2211yescharacteristic, complemented
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic, complemented
74C2×#393C2211yescharacteristic
75C2×#393C2211yescharacteristic, complemented
76C2×#392C2211yescharacteristic
77#2324—28no—
78C2×#391C2211yescharacteristic, complemented
79C2×#390C2211yescharacteristic
80C2×#390C2211yescharacteristic
81C2×#390C2211yescharacteristic
82C2×#390C2211yescharacteristic, complemented
83C2×#390C2211yescharacteristic, complemented
84C2×#389C2211yescharacteristic, complemented
85C2×#389C2211yescharacteristic, complemented
86C2×#389C2211yescharacteristic, complemented
87C2×#389C2211yescharacteristic, complemented
88C2×#389C2211yescharacteristic, complemented
89C2×#389C2211yescharacteristic, complemented
90C2×#388C2211yescharacteristic
91C2×#388C2211yescharacteristic
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic
96C2×#388C2211yescharacteristic
97C2×#388C2211yescharacteristic, complemented
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic
103C2×#386C2211yescharacteristic
104C2×#386C2211yescharacteristic, complemented
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic
109C2×#385C2211yescharacteristic
110C2×#385C2211yescharacteristic, complemented
111C2×#385C2211yescharacteristic, complemented
112C2×#381C2211yescharacteristic
113C2×#380C2211yescharacteristic
114C2×#380C2211yescharacteristic
115C2×#380C2211yescharacteristic
116C2×#380C2211yescharacteristic
117C2×#380C2211yescharacteristic
118C2×#380C2211yescharacteristic, complemented
119C2×#380C2211yescharacteristic, complemented
120C2×#380C2211yescharacteristic, complemented
121C2×#379C2211yescharacteristic
122C2×#379C2211yescharacteristic
123C2×#379C2211yescharacteristic
124C2×C4×C4⋊C4C2211yescharacteristic, complemented
125C2×C4×C22⋊C4C2211yescharacteristic
126#1446C2211yescharacteristic, complemented
127#1445C2211yescharacteristic, complemented
128#1445C2211yescharacteristic, complemented
129#1444C2211yescharacteristic, complemented
130#1444C2211yescharacteristic, complemented
131#1444C2211yescharacteristic, complemented
132#1441C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1441C2211yescharacteristic, complemented
140#1441C2211yescharacteristic, complemented
141#1441C2211yescharacteristic, complemented
142#1441C2211yescharacteristic, complemented
143#1440C2211yescharacteristic
144#1440C2211yescharacteristic
145#1440C2211yescharacteristic
146#1440C2211yescharacteristic
147#1440C2211yescharacteristic
148#1440C2211yescharacteristic
149#1440C2211yescharacteristic, complemented
150#1440C2211yescharacteristic, complemented
151#1440C2211yescharacteristic, complemented
152#1440C2211yescharacteristic, complemented
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1439C2211yescharacteristic, complemented
164#1439C2211yescharacteristic, complemented
165#1439C2211yescharacteristic, complemented
166#1439C2211yescharacteristic, complemented
167#1439C2211yescharacteristic, complemented
168#1439C2211yescharacteristic, complemented
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic
174#1438C2211yescharacteristic
175#1438C2211yescharacteristic
176#1438C2211yescharacteristic
177#1437C2211yescharacteristic
178#1437C2211yescharacteristic
179#1437C2211yescharacteristic
180#1437C2211yescharacteristic
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185#1436C2211yescharacteristic, complemented
186#1436C2211yescharacteristic, complemented
187C4⋊#95C2211yescharacteristic, complemented
188C4⋊#95C2211yescharacteristic, complemented
189C4⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic
192C22⋊#95C2211yescharacteristic
193C26C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C2×#123—24no—
209C2×#123—24no—
210C2×#123—42no—
211C2×C22⋊Q8—24no—
212C2×C22⋊Q8—24no—
213C2×C22⋊Q8—24no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—42no—
219C2×C22⋊Q8—42no—
220C2×#121—24no—
221C2×#121—24no—
222C2×#121—24no—
223C2×#121—42no—
224C2×#121—42no—
225C2×#121D418yes—
226C2×#120—24no—
227C2×#120—24no—
228C2×#120—24no—
229C2×#120—42no—
230C2×#120—42no—
231C2×#120—42no—
232C2×C4×D4—24no—
233C2×C4×D4—24no—
234C2×C4×D4—24no—
235C2×C4×D4—24no—
236C2×C4×D4—42no—
237C2×C4×D4—42no—
238C2×#117—24no—
239C2×#117—24no—
240C2×#117—42no—
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C22⋊C4—24no—
270C22×C22⋊C4—24no—
271C22×C22⋊C4—24no—
272C22×C22⋊C4—24no—
273C22×C22⋊C4—24no—
274C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333#399—24no—
334#398—24no—
335#398—42no—
336#397—24no—
337#397—24no—
338#396—24no—
339#396—24no—
340#396—24no—
341#396—24no—
342#396—24no—
343#396—24no—
344#396—42no—
345#396—42no—
346#394—24no—
347#394—24no—
348#394—24no—
349#394—24no—
350#394—24no—
351#394—24no—
352#394—24no—
353#394—24no—
354#394—24no—
355#394—42no—
356#394—42no—
357#393—24no—
358#393—24no—
359#392—24no—
360#391—24no—
361#390—24no—
362#390—24no—
363#390—24no—
364#390—24no—
365#390—24no—
366#389—24no—
367#389—24no—
368#389—24no—
369#389—24no—
370#389—24no—
371#389—42no—
372#388—24no—
373#388—24no—
374#388—24no—
375#388—24no—
376#388—24no—
377#388—24no—
378#388—42no—
379#388D418yescomplemented
380#386—24no—
381#386—24no—
382#386—24no—
383#386—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#385—24no—
388#385—24no—
389#385—24no—
390#385—24no—
391#385—24no—
392#385—24no—
393#385D418yescomplemented
394#381—24no—
395#380—24no—
396#380—24no—
397#380—24no—
398#380—24no—
399#380—24no—
400#380—42no—
401#380—42no—
402#380—42no—
403#379—24no—
404#379—24no—
405#379—42no—
406C4×C4⋊C4—24no—
407C4×C22⋊C4—42no—
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
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C25—22no—
463C25—22no—
464C25—22no—
465C25—22no—
466C25—22no—
467C25—22no—
468C25—22no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25C2411yescharacteristic
478C25C2411yescharacteristic
479C25C2411yescharacteristic
480C25C2411yescharacteristic
481C25C2411yescharacteristic
482C22×Q8—22no—
483C22×Q8—22no—
484C22×Q8—22no—
485C22×Q8—22no—
486C22×Q8—41no—
487C22×Q8—41no—
488C22×Q8—41no—
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—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
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×D4C2×D414yes—
536C22×D4C2×D414yes—
537C22×D4C2×D414yes—
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—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×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×C4C2×D414yes—
579C23×C4C2×D414yes—
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
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606#123—416no—
607C22⋊Q8—416no—
608C22⋊Q8—416no—
609C22⋊Q8—416no—
610#121—232no—
611#121—416no—
612#120—416no—
613#120—416no—
614C4×D4—416no—
615C4×D4—416no—
616#117—416no—
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—22no—
628C2×C4⋊C4—22no—
629C2×C4⋊C4—22no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—22no—
643C2×C4⋊C4—22no—
644C2×C4⋊C4—22no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
649C2×C4⋊C4—22no—
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—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—22no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
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⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4C2×D414yes—
698C2×C4⋊C4C2×D414yes—
699C2×C4⋊C4C2×D414yes—
700C2×C4⋊C4C2×D414yes—
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—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—416no—
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—416no—
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⋊C4C2×D414yes—
852C2×C22⋊C4C2×D414yes—
853C2×C22⋊C4C2×D414yes—
854C2×C22⋊C4C2×D414yes—
855C2×C22⋊C4C2×D414yes—
856C2×C22⋊C4C2×D414yes—
857C2×C22⋊C4C2×D414yes—
858C2×C22⋊C4#4114yes—
859C2×C42—22no—
860C2×C42—22no—
861C2×C42—22no—
862C2×C42—22no—
863C2×C42—22no—
864C2×C42—22no—
865C2×C42—22no—
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—41no—
869C2×C42—41no—
870C2×C42—41no—
871C2×C42—41no—
872C2×C42—41no—
873C2×C42—41no—
874C2×C42—41no—
875C2×C42—41no—
876C2×C42C2×D414yes—
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—22no—
890#95—22no—
891#95—22no—
892#95—22no—
893#95—22no—
894#95—22no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
906#95—22no—
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#95C2×D414yes—
928#95C2×D414yes—
929#95C2×D414yes—
930#95C2×D414yes—
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—28no—
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—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—82no—
1015C24—82no—
1016C24—82no—
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—
1032C24C22×D412yes—
1033C24C22×D412yes—
1034C24C22×D412yes—
1035C24C22×D412yes—
1036C24C22×D412yes—
1037C24C2×#4112yes—
1038C24H(5,𝔽2)12yes—
1039C242−1+412yes—
1040C242−1+412yes—
1041C24C2511yescharacteristic
1042C2×Q8—44no—
1043C2×Q8—44no—
1044C2×Q8—44no—
1045C2×Q8—44no—
1046C2×Q8—82no—
1047C2×Q8—82no—
1048C2×Q8—82no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—28no—
1052C2×D4—28no—
1053C2×D4—28no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
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—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4—82no—
1090C2×D4—82no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C22×C4—21no—
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—28no—
1169C22×C4—28no—
1170C22×C4—28no—
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—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×C4C22×D412yes—
1302C22×C4C22×D412yes—
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×C4C22×D412yes—
1316C22×C4C22×D412yes—
1317C22×C4C2×#4112yes—
1318C22×C4C2×#4112yes—
1319C22×C4H(5,𝔽2)12yes—
1320C22×C4H(5,𝔽2)12yes—
1321C22×C4H(5,𝔽2)12yes—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—82no—
1342C4⋊C4—82no—
1343C4⋊C4—82no—
1344C4⋊C4—82no—
1345C4⋊C4—82no—
1346C4⋊C4—82no—
1347C4⋊C4—82no—
1348C4⋊C4—82no—
1349C4⋊C4—82no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
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—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—82no—
1386C22⋊C4—82no—
1387C22⋊C4—82no—
1388C22⋊C4—82no—
1389C22⋊C4—82no—
1390C22⋊C4—82no—
1391C22⋊C4—82no—
1392C22⋊C4—82no—
1393C22⋊C4—82no—
1394C22⋊C4—82no—
1395C22⋊C4—82no—
1396C22⋊C4—82no—
1397C22⋊C4—82no—
1398C22⋊C4—82no—
1399C22⋊C4—82no—
1400C22⋊C4—82no—
1401C22⋊C4#121116yes—
1402C42—28no—
1403C42—44no—
1404C42—44no—
1405C42—82no—
1406C42—82no—
1407C42—82no—
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—416no—
1466C23—416no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
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—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—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—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—
1596C23C2×#12114yes—
1597C23#53714yes—
1598C23C23×D411yescharacteristic
1599C23C23×D411yescharacteristic
1600C23C23×D411yescharacteristic
1601C23C22×#4111yescharacteristic
1602C23C2×H(5,𝔽2)11yescharacteristic
1603C23C2×H(5,𝔽2)11yescharacteristic
1604C23C2×H(5,𝔽2)11yescharacteristic
1605C23C2×H(5,𝔽2)11yescharacteristic
1606C23C2×2−1+411yescharacteristic
1607C23C2×2−1+411yescharacteristic
1608C23#58511yescharacteristic
1609C23#58511yescharacteristic
1610C23#58511yescharacteristic
1611C23#58511yescharacteristic
1612C23#58511yescharacteristic
1613Q8—88no—
1614D4—416no—
1615D4—416no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
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—416no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
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—41no—
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—88no—
1801C2×C4—88no—
1802C2×C4—88no—
1803C2×C4—88no—
1804C2×C4—88no—
1805C2×C4C2×#12114yes—
1806C2×C4C2×#12114yes—
1807C2×C4D4214yes—
1808C2×C4D4214yes—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—24no—
1813C22—24no—
1814C22—24no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
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—832no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
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—
1885C22C22×#12111yescharacteristic
1886C22C2×#53711yescharacteristic
1887C22C2×D4211yescharacteristic
1888C22C2×D4211yescharacteristic
1889C22D4×#4111yescharacteristic
1890C22#348411yescharacteristic
1891C22#348511yescharacteristic
1892C22#348511yescharacteristic
1893C22#348611yescharacteristic
1894C22#348811yescharacteristic
1895C22#348811yescharacteristic
1896C22#348811yescharacteristic
1897C22#348911yescharacteristic
1898C22#348911yescharacteristic
1899C22#348911yescharacteristic
1900C22#349511yescharacteristic
1901C22#349511yescharacteristic
1902C22#349611yescharacteristic
1903C22#349611yescharacteristic
1904C22#350011yescharacteristic
1905C22#351311yescharacteristic
1906C22#351411yescharacteristic
1907C22#351911yescharacteristic
1908C22#353311yescharacteristic
1909C22#353311yescharacteristic
1910C22#353611yescharacteristic
1911C22#353611yescharacteristic
1912C22#354111yescharacteristic
1913C22#354211yescharacteristic
1914C22#354211yescharacteristic
1915C22#356111yescharacteristic
1916C22#356111yescharacteristic
1917C22#356211yescharacteristic
1918C22#356411yescharacteristic
1919C22#356611yescharacteristic
1920C4—24no—
1921C4—24no—
1922C4—24no—
1923C4—24no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—81no—
1934C4—81no—
1935C4—81no—
1936C4—81no—
1937C4—81no—
1938C4—81no—
1939C4—81no—
1940C4—81no—
1941C4—81no—
1942C4—81no—
1943C4—81no—
1944C4—81no—
1945C4—81no—
1946C2—44no—
1947C2—44no—
1948C2—82no—
1949C2—82no—
1950C2—82no—
1951C2#3563311yescharacteristic
1952C2#3576111yescharacteristic
1953C2D4×#12111yescharacteristic
1954C2#3764811yescharacteristic
1955C2#3764911yescharacteristic
1956C2#3842911yescharacteristic
1957C2#4390411yescharacteristic
1958C2#4469911yescharacteristic
1959C2#4513411yescharacteristic
1960C2#4637311yescharacteristic
1961C2#4683211yescharacteristic
1962C2#4725011yescharacteristic
1963C2#4996111yescharacteristic
1964C2#5017911yescharacteristic
1965C2#5158111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2424C2
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×#2681C2semidirect
2. C2×#2534C2semidirect
3. C2×#2415C2semidirect
5. C2×#2437C2semidirect
6. C2×#2324C2semidirect
7. #16552C2semidirect
8. #16401C2semidirect
9. #16265C2semidirect
10. #15631C2semidirect
11. #15616C2semidirect
12. #15493C2semidirect
13. #15436C2semidirect
14. #15323C2semidirect
15. #15309C2semidirect
16. #15303C2semidirect
17. #15300C2semidirect
18. #15274C2semidirect
19. #15271C2semidirect
20. #15268C2semidirect
21. #15268C2semidirect
22. #15129C2semidirect
23. #15126C2semidirect
24. #14890C2semidirect
25. #14870C2semidirect
26. #14733C2semidirect
27. #14725C2semidirect
28. #14402C2semidirect
29. #14364C2semidirect
30. #14112C2semidirect
31. #13873C2semidirect
35. C22×C22⋊Q8C22semidirect
42. C22×#117C22semidirect
51. C2×#398C22semidirect
52. C2×#398C22semidirect
53. C2×#397C22semidirect
54. C2×#397C22semidirect
62. C2×#396C22semidirect
73. C2×#394C22semidirect
75. C2×#393C22semidirect
78. C2×#391C22semidirect
82. C2×#390C22semidirect
83. C2×#390C22semidirect
84. C2×#389C22semidirect
85. C2×#389C22semidirect
86. C2×#389C22semidirect
87. C2×#389C22semidirect
88. C2×#389C22semidirect
89. C2×#389C22semidirect
97. C2×#388C22semidirect
104. C2×#386C22semidirect
110. C2×#385C22semidirect
111. C2×#385C22semidirect
118. C2×#380C22semidirect
119. C2×#380C22semidirect
120. C2×#380C22semidirect
124. C2×C4×C4⋊C4C22semidirect
126. #1446C22semidirect
127. #1445C22semidirect
128. #1445C22semidirect
129. #1444C22semidirect
130. #1444C22semidirect
131. #1444C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
139. #1441C22semidirect
140. #1441C22semidirect
141. #1441C22semidirect
142. #1441C22semidirect
149. #1440C22semidirect
150. #1440C22semidirect
151. #1440C22semidirect
152. #1440C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
163. #1439C22semidirect
164. #1439C22semidirect
165. #1439C22semidirect
166. #1439C22semidirect
167. #1439C22semidirect
168. #1439C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. #1436C22semidirect
186. #1436C22semidirect
187. C4⋊#95C22semidirect
188. C4⋊#95C22semidirect
189. C4⋊#95C22semidirect
379. #388D4semidirect
393. #385D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26812
C2×#25342
C2×#24152
C2×#24242
C2×#24372
C2×#23242
#165522
#164012
#162652
#156312
#156162
#154932
#154362
#153232
#153092
#153032
#153002
#152742
#152712
#152682
#151292
#151262
#148902
#148702
#147332
#147252
#144022
#143642
#141122
#138732