Finite Group Databasebeta

← #845549

Subgroups — #845549

Order 512.

5962 conjugacy classes of subgroups.

The subgroup lattice has 2167 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#525C211yesmaximal, characteristic, complemented
2C2×#2680C211yesmaximal, characteristic, complemented
3C2×#2678C211yesmaximal, characteristic, complemented
4C2×#2849C211yesmaximal, characteristic, complemented
5C2×#2407C211yesmaximal, characteristic, complemented
6C2×#2455C211yesmaximal, characteristic, complemented
7#16259C211yesmaximal, characteristic, complemented
8#16255C211yesmaximal, characteristic, complemented
9#16250C211yesmaximal, characteristic, complemented
10#16249C211yesmaximal, characteristic, complemented
11#15951C211yesmaximal, characteristic, complemented
12#15950C211yesmaximal, characteristic, complemented
13#15611C211yesmaximal, characteristic, complemented
14#15384C211yesmaximal, characteristic, complemented
15#15340C211yesmaximal, characteristic, complemented
16#15320C211yesmaximal, characteristic, complemented
17#15276C211yesmaximal, characteristic, complemented
18#15271C211yesmaximal, characteristic, complemented
19#14907C211yesmaximal, characteristic, complemented
20#14889C211yesmaximal, characteristic, complemented
21#14795C211yesmaximal, characteristic, complemented
22#14733C211yesmaximal, characteristic, complemented
23#14731C211yesmaximal, characteristic, complemented
24#14721C211yesmaximal, characteristic, complemented
25#14693C211yesmaximal, characteristic, complemented
26#14364C211yesmaximal, characteristic, complemented
27#14358C211yesmaximal, characteristic, complemented
28#14171C211yesmaximal, characteristic, complemented
29#14071C211yesmaximal, characteristic, complemented
30#13977C211yesmaximal, characteristic, complemented
31#13912C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C25×C4C2211yescharacteristic
34C2×#525—28no—
35C2×#525—28no—
36C2×#525—28no—
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic, complemented
56C22×#117C2211yescharacteristic
57#2849—28no—
58#2680—28no—
59#2678—28no—
60#2455—28no—
61#2407—28no—
62C2×#399C2211yescharacteristic, complemented
63C2×#398C2211yescharacteristic, complemented
64C2×#398C2211yescharacteristic, complemented
65C2×#397C2211yescharacteristic
66C2×#397C2211yescharacteristic
67C2×#397C2211yescharacteristic, complemented
68C2×#396C2211yescharacteristic
69C2×#395C2211yescharacteristic, complemented
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic
74C2×#394C2211yescharacteristic
75C2×#394C2211yescharacteristic
76C2×#394C2211yescharacteristic, complemented
77C2×#394C2211yescharacteristic, complemented
78C2×#394C2211yescharacteristic, complemented
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic
81C2×#392C2211yescharacteristic
82C2×#392C2211yescharacteristic
83C2×#392C2211yescharacteristic
84C2×#392C2211yescharacteristic, complemented
85C2×#391C2211yescharacteristic, complemented
86C2×#390C2211yescharacteristic
87C2×#390C2211yescharacteristic
88C2×#390C2211yescharacteristic
89C2×#390C2211yescharacteristic
90C2×#389C2211yescharacteristic, complemented
91C2×#389C2211yescharacteristic, complemented
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic, complemented
96C2×#388C2211yescharacteristic, complemented
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic, complemented
103C2×#385C2211yescharacteristic
104C2×#385C2211yescharacteristic
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic
109C2×#385C2211yescharacteristic
110C2×#385C2211yescharacteristic
111C2×#385C2211yescharacteristic
112C2×#385C2211yescharacteristic
113C2×#385C2211yescharacteristic, complemented
114C2×#385C2211yescharacteristic, complemented
115C2×#385C2211yescharacteristic, complemented
116C2×#385C2211yescharacteristic, complemented
117C2×#385C2211yescharacteristic, complemented
118C2×#384C2211yescharacteristic, complemented
119C2×#381C2211yescharacteristic
120C2×#381C2211yescharacteristic
121C2×#380C2211yescharacteristic, complemented
122C2×#379C2211yescharacteristic
123C2×#379C2211yescharacteristic
124C2×#379C2211yescharacteristic
125#1446C2211yescharacteristic, complemented
126#1445C2211yescharacteristic, complemented
127#1444C2211yescharacteristic, complemented
128#1444C2211yescharacteristic, complemented
129#1444C2211yescharacteristic, complemented
130#1441C2211yescharacteristic, complemented
131#1441C2211yescharacteristic, complemented
132#1441C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1440C2211yescharacteristic
138#1440C2211yescharacteristic
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic, complemented
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1438C2211yescharacteristic, complemented
173#1438C2211yescharacteristic, complemented
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1437C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic
192C22⋊#95C2211yescharacteristic, complemented
193C22⋊#95C2211yescharacteristic, complemented
194C4×#95C2211yescharacteristic, complemented
195C26C2311yescharacteristic
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—24no—
200C22×#41—42no—
201C22×#41—42no—
202C22×#41—42no—
203C23×Q8C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C24×C4—24no—
217C24×C4—24no—
218C24×C4—24no—
219C24×C4—24no—
220C24×C4—42no—
221C24×C4—42no—
222C24×C4—42no—
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232#525—2128no—
233C2×#123—24no—
234C2×#123—24no—
235C2×#123—24no—
236C2×#123—24no—
237C2×#123—24no—
238C2×#123—24no—
239C2×#123—24no—
240C2×#123—24no—
241C2×#123—24no—
242C2×#123—24no—
243C2×#123—24no—
244C2×#123—24no—
245C2×#123—24no—
246C2×#123—42no—
247C2×#123—42no—
248C2×C22⋊Q8—24no—
249C2×C22⋊Q8—24no—
250C2×C22⋊Q8—24no—
251C2×C22⋊Q8—24no—
252C2×C22⋊Q8—24no—
253C2×C22⋊Q8—24no—
254C2×C22⋊Q8—24no—
255C2×C22⋊Q8—42no—
256C2×C22⋊Q8D418yescomplemented
257C2×#121—24no—
258C2×#121—24no—
259C2×#121—24no—
260C2×#121—24no—
261C2×#121—24no—
262C2×#121—24no—
263C2×#121—24no—
264C2×#121—24no—
265C2×#121—42no—
266C2×#120—24no—
267C2×#120—24no—
268C2×#120—24no—
269C2×#120—24no—
270C2×#120—24no—
271C2×#120—24no—
272C2×#120—24no—
273C2×#120—42no—
274C2×#120D418yescomplemented
275C2×C4×D4—24no—
276C2×C4×D4—24no—
277C2×C4×D4—24no—
278C2×C4×D4—24no—
279C2×C4×D4—24no—
280C2×C4×D4—24no—
281C2×C4×D4—24no—
282C2×C4×D4—24no—
283C2×C4×D4—24no—
284C2×C4×D4—24no—
285C2×C4×D4—24no—
286C2×C4×D4—24no—
287C2×C4×D4—24no—
288C2×C4×D4—42no—
289C2×C4×D4D418yescomplemented
290C2×#117—24no—
291C2×#117—24no—
292C2×#117—24no—
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊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×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375#399—24no—
376#398—24no—
377#398—24no—
378#397—24no—
379#397—24no—
380#397—24no—
381#396—24no—
382#395—24no—
383#394—24no—
384#394—24no—
385#394—24no—
386#394—24no—
387#394—24no—
388#394—24no—
389#394—24no—
390#394—42no—
391#394—42no—
392#392—24no—
393#392—24no—
394#392—24no—
395#392—24no—
396#392—24no—
397#392—24no—
398#391—24no—
399#390—24no—
400#390—24no—
401#390—24no—
402#390—24no—
403#389—24no—
404#389—24no—
405#388—24no—
406#388—24no—
407#388—24no—
408#388—24no—
409#388—24no—
410#386—24no—
411#386—24no—
412#386—24no—
413#386—24no—
414#386—24no—
415#386D418yescomplemented
416#385—24no—
417#385—24no—
418#385—24no—
419#385—24no—
420#385—24no—
421#385—24no—
422#385—24no—
423#385—24no—
424#385—24no—
425#385—24no—
426#385—24no—
427#385—42no—
428#385—42no—
429#385—42no—
430#385—42no—
431#384—24no—
432#381—24no—
433#381—24no—
434#380—24no—
435#379—24no—
436#379—24no—
437#379—24no—
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
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C2×#95C2311yescharacteristic
472C2×#95C2311yescharacteristic
473C2×#95C2311yescharacteristic
474C2×#95C2311yescharacteristic
475C2×#95C2311yescharacteristic
476C2×#95C2311yescharacteristic
477C2×#95C2311yescharacteristic
478C2×#95C2311yescharacteristic
479C2×#95C2311yescharacteristic
480C2×#95C2311yescharacteristic
481C2×#95C2311yescharacteristic
482C2×#95C2311yescharacteristic
483C2×#95C2311yescharacteristic
484C2×#95C2311yescharacteristic
485C2×#95C2311yescharacteristic
486C2×#95C2311yescharacteristic
487C2×#95C2311yescharacteristic
488C25—22no—
489C25—22no—
490C25—22no—
491C25—22no—
492C25—22no—
493C25—22no—
494C25—41no—
495C25—41no—
496C25—41no—
497C25—41no—
498C25—41no—
499C25—41no—
500C25—41no—
501C25—41no—
502C25C2×D414yes—
503C25C2411yescharacteristic
504C25C2411yescharacteristic
505C25C2411yescharacteristic
506C25C2411yescharacteristic
507C25C2411yescharacteristic
508C25C2411yescharacteristic
509C2×#41—232no—
510C2×#41—416no—
511C2×#41—416no—
512C2×#41—416no—
513C2×#41—416no—
514C2×#41—416no—
515C2×#41—416no—
516C22×Q8—22no—
517C22×Q8—22no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8C2×D414yes—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4C2×D414yes—
603C22×D4C2×D414yes—
604C22×D4C2×D414yes—
605C22×D4C2×D414yes—
606C22×D4C2×D414yes—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—232no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—22no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—41no—
651C23×C4—41no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—41no—
663C23×C4—41no—
664C23×C4—416no—
665C23×C4—416no—
666C23×C4—41no—
667C23×C4—41no—
668C23×C4—41no—
669C23×C4—416no—
670C23×C4—416no—
671C23×C4—416no—
672C23×C4—416no—
673C23×C4C2×D414yes—
674C23×C4C2×D414yes—
675C23×C4C2×D414yes—
676C23×C4C2×D414yes—
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702#123—232no—
703#123—232no—
704#123—416no—
705#123—416no—
706#123—416no—
707C22⋊Q8—232no—
708C22⋊Q8—232no—
709C22⋊Q8—416no—
710#121—232no—
711#121—232no—
712#121—416no—
713#120—232no—
714#120—232no—
715#120—416no—
716C4×D4—232no—
717C4×D4—232no—
718C4×D4—232no—
719C4×D4—232no—
720C4×D4—416no—
721#117—232no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—22no—
724C2×C4⋊C4—22no—
725C2×C4⋊C4—22no—
726C2×C4⋊C4—22no—
727C2×C4⋊C4—22no—
728C2×C4⋊C4—22no—
729C2×C4⋊C4—22no—
730C2×C4⋊C4—22no—
731C2×C4⋊C4—22no—
732C2×C4⋊C4—22no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4—22no—
735C2×C4⋊C4—22no—
736C2×C4⋊C4—22no—
737C2×C4⋊C4—22no—
738C2×C4⋊C4—22no—
739C2×C4⋊C4—22no—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4—41no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4—41no—
778C2×C4⋊C4—41no—
779C2×C4⋊C4—41no—
780C2×C4⋊C4—41no—
781C2×C4⋊C4—41no—
782C2×C4⋊C4—41no—
783C2×C4⋊C4—41no—
784C2×C4⋊C4—41no—
785C2×C4⋊C4—41no—
786C2×C4⋊C4—41no—
787C2×C4⋊C4C2×D414yes—
788C2×C4⋊C4C2×D414yes—
789C2×C4⋊C4C2×D414yes—
790C2×C4⋊C4C2×D414yes—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—22no—
794C2×C22⋊C4—22no—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C22⋊C4—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4C2×D414yes—
943C2×C22⋊C4C2×D414yes—
944C2×C22⋊C4C2×D414yes—
945C2×C22⋊C4C2×D414yes—
946C2×C22⋊C4C2×D414yes—
947C2×C22⋊C4C2×D414yes—
948C2×C22⋊C4C2×D414yes—
949C2×C22⋊C4C2×D414yes—
950C2×C22⋊C4C2×D414yes—
951C2×C22⋊C4C2×D414yes—
952C2×C22⋊C4#4114yescomplemented
953C2×C42—22no—
954C2×C42—22no—
955C2×C42—22no—
956C2×C42—22no—
957C2×C42—22no—
958C2×C42—22no—
959C2×C42—22no—
960C2×C42—22no—
961C2×C42—22no—
962C2×C42—22no—
963C2×C42—41no—
964C2×C42—41no—
965C2×C42—41no—
966C2×C42—41no—
967C2×C42C2×D414yes—
968#95—22no—
969#95—22no—
970#95—22no—
971#95—22no—
972#95—22no—
973#95—22no—
974#95—22no—
975#95—22no—
976#95—22no—
977#95—22no—
978#95—22no—
979#95—22no—
980#95—22no—
981#95—22no—
982#95—22no—
983#95—22no—
984#95—22no—
985#95—22no—
986#95—22no—
987#95—22no—
988#95—22no—
989#95—22no—
990#95—22no—
991#95—22no—
992#95—22no—
993#95—22no—
994#95—22no—
995#95—22no—
996#95—22no—
997#95—22no—
998#95—22no—
999#95—41no—
1000#95—41no—
1001#95—41no—
1002#95—41no—
1003#95—41no—
1004#95—41no—
1005#95—41no—
1006#95—41no—
1007#95—41no—
1008#95—41no—
1009#95—41no—
1010#95—41no—
1011#95—41no—
1012#95—41no—
1013#95—41no—
1014#95—41no—
1015#95—41no—
1016#95C2×D414yes—
1017#95C2×D414yes—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—28no—
1055C24—28no—
1056C24—28no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—21no—
1087C24—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—21no—
1093C24—21no—
1094C24—21no—
1095C24—21no—
1096C24—21no—
1097C24—21no—
1098C24—21no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24C22×D412yes—
1132C24C22×D412yes—
1133C24C22×D412yes—
1134C24C22×D412yes—
1135C24C22×D412yes—
1136C24C22×D412yes—
1137C24C22×D412yes—
1138C24C22×D412yes—
1139C24C22×D412yes—
1140C24C2×#4112yes—
1141C24H(5,𝔽2)12yes—
1142C242−1+412yes—
1143C24C2511yescharacteristic
1144#41—4128no—
1145C2×Q8—28no—
1146C2×Q8—28no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
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—28no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—28no—
1334C22×C4—28no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—4128no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—82no—
1450C22×C4—82no—
1451C22×C4—82no—
1452C22×C4C22×D412yes—
1453C22×C4C22×D412yes—
1454C22×C4C22×D412yes—
1455C22×C4C22×D412yes—
1456C22×C4C22×D412yes—
1457C22×C4C22×D412yes—
1458C22×C4C22×D412yes—
1459C22×C4C22×D412yes—
1460C22×C4C22×D412yes—
1461C22×C4C22×D412yes—
1462C22×C4C22×D412yes—
1463C22×C4C22×D412yes—
1464C22×C4C22×D412yes—
1465C22×C4C22×D412yes—
1466C22×C4C22×D412yes—
1467C22×C4C22×D412yes—
1468C22×C4C22×D412yes—
1469C22×C4C22×D412yes—
1470C22×C4C22×D412yes—
1471C22×C4C2×#4112yes—
1472C22×C4C2×#4112yes—
1473C22×C4H(5,𝔽2)12yes—
1474C22×C4H(5,𝔽2)12yes—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—82no—
1495C4⋊C4—82no—
1496C4⋊C4—82no—
1497C4⋊C4—82no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—82no—
1538C22⋊C4—82no—
1539C22⋊C4—82no—
1540C22⋊C4—82no—
1541C22⋊C4—82no—
1542C22⋊C4—82no—
1543C22⋊C4—82no—
1544C22⋊C4—82no—
1545C22⋊C4—82no—
1546C22⋊C4—82no—
1547C22⋊C4—82no—
1548C22⋊C4—82no—
1549C22⋊C4—82no—
1550C22⋊C4—82no—
1551C22⋊C4#120116yes—
1552C42—28no—
1553C42—28no—
1554C42—44no—
1555C42—44no—
1556C42—82no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—416no—
1633C23—416no—
1634C23—416no—
1635C23—416no—
1636C23—416no—
1637C23—416no—
1638C23—416no—
1639C23—416no—
1640C23—416no—
1641C23—416no—
1642C23—416no—
1643C23—416no—
1644C23—416no—
1645C23—416no—
1646C23—416no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—41no—
1779C23C2×#12014yes—
1780C23D4214yes—
1781C23#54714yes—
1782C23C23×D411yescharacteristic
1783C23C23×D411yescharacteristic
1784C23C23×D411yescharacteristic
1785C23C23×D411yescharacteristic
1786C23C22×#4111yescharacteristic
1787C23C2×H(5,𝔽2)11yescharacteristic
1788C23C2×H(5,𝔽2)11yescharacteristic
1789C23C2×H(5,𝔽2)11yescharacteristic
1790C23C2×2−1+411yescharacteristic
1791C23#58511yescharacteristic
1792C23#58511yescharacteristic
1793C23#58511yescharacteristic
1794C23#58511yescharacteristic
1795C23#58511yescharacteristic
1796C23#58511yescharacteristic
1797Q8—416no—
1798D4—416no—
1799D4—416no—
1800D4—416no—
1801D4—416no—
1802D4—416no—
1803D4—416no—
1804D4—416no—
1805D4—416no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810C2×C4—232no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—416no—
1869C2×C4—416no—
1870C2×C4—416no—
1871C2×C4—416no—
1872C2×C4—416no—
1873C2×C4—416no—
1874C2×C4—416no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—88no—
1990C2×C4C2×#12014yes—
1991C2×C4C2×#12014yes—
1992C2×C4D4214yes—
1993C2×C4D4214yes—
1994C22—24no—
1995C22—24no—
1996C22—24no—
1997C22—24no—
1998C22—24no—
1999C22—24no—
2000C22—24no—
2001C22—24no—
2002C22—24no—
2003C22—464no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—81no—
2062C22—81no—
2063C22—81no—
2064C22—81no—
2065C22—81no—
2066C22—81no—
2067C22—81no—
2068C22—81no—
2069C22—81no—
2070C22—81no—
2071C22—81no—
2072C22—81no—
2073C22—81no—
2074C22—81no—
2075C22—81no—
2076C22—81no—
2077C22—81no—
2078C22—81no—
2079C22—81no—
2080C22—81no—
2081C22—81no—
2082C22—81no—
2083C22—81no—
2084C22—81no—
2085C22C22×#12011yescharacteristic
2086C22#344911yescharacteristic
2087C22#344911yescharacteristic
2088C22#344911yescharacteristic
2089C22#345911yescharacteristic
2090C22C2×D4211yescharacteristic
2091C22C2×D4211yescharacteristic
2092C22C2×D4211yescharacteristic
2093C22C2×#54711yescharacteristic
2094C22D4×#4111yescharacteristic
2095C22D4×#4111yescharacteristic
2096C22D4×#4111yescharacteristic
2097C22#348411yescharacteristic
2098C22#348411yescharacteristic
2099C22#348411yescharacteristic
2100C22#348511yescharacteristic
2101C22#348511yescharacteristic
2102C22#348511yescharacteristic
2103C22#348511yescharacteristic
2104C22#348711yescharacteristic
2105C22#348711yescharacteristic
2106C22#348911yescharacteristic
2107C22#348911yescharacteristic
2108C22#348911yescharacteristic
2109C22#350611yescharacteristic
2110C22#351311yescharacteristic
2111C22#352911yescharacteristic
2112C22#353311yescharacteristic
2113C22#353311yescharacteristic
2114C22#353511yescharacteristic
2115C22#353911yescharacteristic
2116C22#353911yescharacteristic
2117C22#354011yescharacteristic
2118C22#354111yescharacteristic
2119C22#354111yescharacteristic
2120C4—24no—
2121C4—24no—
2122C4—24no—
2123C4—24no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—81no—
2136C4—81no—
2137C4—81no—
2138C4—81no—
2139C4—81no—
2140C4—81no—
2141C4—81no—
2142C4—81no—
2143C4—81no—
2144C4—81no—
2145C2—44no—
2146C2—44no—
2147C2—44no—
2148C2—82no—
2149C2—82no—
2150C2—82no—
2151C2#3514911yescharacteristic
2152C2D4×#12011yescharacteristic
2153C2#3621311yescharacteristic
2154C2#3672311yescharacteristic
2155C2#3765411yescharacteristic
2156C2#3765611yescharacteristic
2157C2#3765911yescharacteristic
2158C2#3778811yescharacteristic
2159C2#3780111yescharacteristic
2160C2#3984511yescharacteristic
2161C2#4544011yescharacteristic
2162C2#4545011yescharacteristic
2163C2#5210311yescharacteristic
2164C2#5899511yescharacteristic
2165C2#5899911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#525C2semidirect
2. C2×#2680C2semidirect
3. C2×#2678C2semidirect
4. C2×#2849C2semidirect
5. C2×#2407C2semidirect
6. C2×#2455C2semidirect
7. #16259C2semidirect
8. #16255C2semidirect
9. #16250C2semidirect
10. #16249C2semidirect
11. #15951C2semidirect
12. #15950C2semidirect
13. #15611C2semidirect
14. #15384C2semidirect
15. #15340C2semidirect
16. #15320C2semidirect
17. #15276C2semidirect
18. #15271C2semidirect
19. #14907C2semidirect
20. #14889C2semidirect
21. #14795C2semidirect
22. #14733C2semidirect
23. #14731C2semidirect
24. #14721C2semidirect
25. #14693C2semidirect
26. #14364C2semidirect
27. #14358C2semidirect
28. #14171C2semidirect
29. #14071C2semidirect
30. #13977C2semidirect
31. #13912C2semidirect
44. C22×C22⋊Q8C22semidirect
55. C22×C4×D4C22semidirect
62. C2×#399C22semidirect
63. C2×#398C22semidirect
64. C2×#398C22semidirect
67. C2×#397C22semidirect
69. C2×#395C22semidirect
76. C2×#394C22semidirect
77. C2×#394C22semidirect
78. C2×#394C22semidirect
84. C2×#392C22semidirect
85. C2×#391C22semidirect
90. C2×#389C22semidirect
91. C2×#389C22semidirect
95. C2×#388C22semidirect
96. C2×#388C22semidirect
102. C2×#386C22semidirect
113. C2×#385C22semidirect
114. C2×#385C22semidirect
115. C2×#385C22semidirect
116. C2×#385C22semidirect
117. C2×#385C22semidirect
118. C2×#384C22semidirect
121. C2×#380C22semidirect
125. #1446C22semidirect
126. #1445C22semidirect
127. #1444C22semidirect
128. #1444C22semidirect
129. #1444C22semidirect
130. #1441C22semidirect
131. #1441C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
141. #1440C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1438C22semidirect
173. #1438C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1437C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. C4⋊#95C22semidirect
185. #1434C22semidirect
192. C22⋊#95C22semidirect
193. C22⋊#95C22semidirect
194. C4×#95C22semidirect
256. C2×C22⋊Q8D4semidirect
274. C2×#120D4semidirect
289. C2×C4×D4D4semidirect
415. #386D4semidirect
952. C2×C22⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
C22×#5252
C2×#26802
C2×#26782
C2×#28492
C2×#24072
C2×#24552
#162592
#162552
#162502
#162492
#159512
#159502
#156112
#153842
#153402
#153202
#152762
#152712
#149072
#148892
#147952
#147332
#147312
#147212
#146932
#143642
#143582
#141712
#140712
#139772
#139122