Finite Group Databasebeta

← #4318023

Subgroups — #4318023

Order 512.

5023 conjugacy classes of subgroups.

The subgroup lattice has 2248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#538C211yesmaximal, characteristic, complemented
2C2×#2676C211yesmaximal, characteristic, complemented
3C2×#2675C211yesmaximal, characteristic, complemented
4C2×#2464C211yesmaximal, characteristic, complemented
5#16680C211yesmaximal, characteristic, complemented
6#16659C211yesmaximal, characteristic, complemented
7#16658C211yesmaximal, characteristic, complemented
8#16655C211yesmaximal, characteristic, complemented
9#16654C211yesmaximal, characteristic, complemented
10#16257C211yesmaximal, characteristic, complemented
11#16250C211yesmaximal, characteristic, complemented
12#16250C211yesmaximal, characteristic, complemented
13#15951C211yesmaximal, characteristic, complemented
14#15280C211yesmaximal, characteristic, complemented
15#15273C211yesmaximal, characteristic, complemented
16#15267C211yesmaximal, characteristic, complemented
17#15263C211yesmaximal, characteristic, complemented
18#15257C211yesmaximal, characteristic, complemented
19#15257C211yesmaximal, characteristic, complemented
20#15257C211yesmaximal, characteristic, complemented
21#15215C211yesmaximal, characteristic, complemented
22#15203C211yesmaximal, characteristic, complemented
23#15123C211yesmaximal, characteristic, complemented
24#14926C211yesmaximal, characteristic, complemented
25#14917C211yesmaximal, characteristic, complemented
26#14757C211yesmaximal, characteristic, complemented
27#14726C211yesmaximal, characteristic, complemented
28#14716C211yesmaximal, characteristic, complemented
29#14421C211yesmaximal, characteristic, complemented
30#14361C211yesmaximal, characteristic, complemented
31#13899C211yesmaximal, characteristic, complemented
32C2×#538—28no—
33C2×#538—28no—
34C2×#538—28no—
35C22×#126C2211yescharacteristic
36C22×#126C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic
50C22×#121C2211yescharacteristic
51C22×#121C2211yescharacteristic, complemented
52C22×#121C2211yescharacteristic, complemented
53C22×#121C2211yescharacteristic, complemented
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×#120C2211yescharacteristic
57C22×#120C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic
59C22×C4×D4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic
61#2676—28no—
62#2675—28no—
63#2464—28no—
64C2×#398C2211yescharacteristic, complemented
65C2×#396C2211yescharacteristic
66C2×#396C2211yescharacteristic
67C2×#396C2211yescharacteristic, complemented
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic, complemented
71C2×#394C2211yescharacteristic, complemented
72C2×#393C2211yescharacteristic, complemented
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic
81C2×#392C2211yescharacteristic
82C2×#392C2211yescharacteristic
83C2×#392C2211yescharacteristic
84C2×#392C2211yescharacteristic, complemented
85C2×#391C2211yescharacteristic, complemented
86C2×#390C2211yescharacteristic
87C2×#390C2211yescharacteristic
88C2×#390C2211yescharacteristic, complemented
89C2×#388C2211yescharacteristic, complemented
90C2×#388C2211yescharacteristic, complemented
91C2×#387C2211yescharacteristic, complemented
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic, complemented
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#385C2211yescharacteristic
104C2×#385C2211yescharacteristic
105C2×#385C2211yescharacteristic, complemented
106C2×#385C2211yescharacteristic, complemented
107C2×#385C2211yescharacteristic, complemented
108C2×#385C2211yescharacteristic, complemented
109C2×#380C2211yescharacteristic
110C2×#380C2211yescharacteristic, complemented
111C2×#379C2211yescharacteristic
112C2×#379C2211yescharacteristic
113C2×C4×C22⋊C4C2211yescharacteristic, complemented
114C22×#95C2211yescharacteristic, complemented
115#1446C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
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#1439C2211yescharacteristic, complemented
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic
174#1438C2211yescharacteristic
175#1438C2211yescharacteristic
176#1438C2211yescharacteristic
177#1438C2211yescharacteristic, complemented
178#1438C2211yescharacteristic, complemented
179#1438C2211yescharacteristic, complemented
180#1438C2211yescharacteristic, complemented
181#1438C2211yescharacteristic, complemented
182#1437C2211yescharacteristic
183#1436C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186#1434C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C24×C4C2311yescharacteristic
218C24×C4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220#538—2128no—
221C2×#126—24no—
222C2×#126—24no—
223C2×#126—24no—
224C2×#126—24no—
225C2×#126—24no—
226C2×#126—24no—
227C2×#124—24no—
228C2×#124—24no—
229C2×#124—24no—
230C2×#124—24no—
231C2×#124—24no—
232C2×#124D418yescomplemented
233C2×#123—24no—
234C2×#123—24no—
235C2×#123—24no—
236C2×#123—24no—
237C2×#123—24no—
238C2×#123—24no—
239C2×#123—24no—
240C2×#123—42no—
241C2×#123—42no—
242C2×C22⋊Q8—24no—
243C2×C22⋊Q8—24no—
244C2×C22⋊Q8—24no—
245C2×C22⋊Q8—24no—
246C2×C22⋊Q8—42no—
247C2×C22⋊Q8—42no—
248C2×#121—24no—
249C2×#121—24no—
250C2×#121—24no—
251C2×#121—24no—
252C2×#121—24no—
253C2×#121—24no—
254C2×#121—24no—
255C2×#121—24no—
256C2×#121—24no—
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×#121—42no—
267C2×#121—42no—
268C2×#121—42no—
269C2×#121—42no—
270C2×#121—42no—
271C2×#121—42no—
272C2×#121—42no—
273C2×#121—42no—
274C2×#121—42no—
275C2×#121—42no—
276C2×#121—42no—
277C2×#121D418yescomplemented
278C2×#120—24no—
279C2×#120—24no—
280C2×#120—24no—
281C2×#120—24no—
282C2×#120—24no—
283C2×#120—24no—
284C2×#120—42no—
285C2×#120—42no—
286C2×#120—42no—
287C2×#120—42no—
288C2×#120—42no—
289C2×#120—42no—
290C2×C4×D4—24no—
291C2×C4×D4—24no—
292C2×C4×D4—24no—
293C2×C4×D4—24no—
294C2×C4×D4—24no—
295C2×C4×D4D418yescomplemented
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×C22⋊C4—24no—
315C22×C22⋊C4—24no—
316C22×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#398—24no—
380#396—24no—
381#396—24no—
382#396—24no—
383#394—24no—
384#394—24no—
385#394—24no—
386#394—42no—
387#393—24no—
388#392—24no—
389#392—24no—
390#392—24no—
391#392—24no—
392#392—24no—
393#392—24no—
394#392—24no—
395#392—24no—
396#392—42no—
397#392—42no—
398#392—42no—
399#392—42no—
400#391—42no—
401#390—24no—
402#390—24no—
403#390—42no—
404#388—24no—
405#388—24no—
406#387—24no—
407#386—24no—
408#386—24no—
409#386—24no—
410#386—24no—
411#386—42no—
412#386—42no—
413#386—42no—
414#386—42no—
415#386—42no—
416#386—42no—
417#386—42no—
418#385—24no—
419#385—24no—
420#385—24no—
421#385—24no—
422#385—24no—
423#385—42no—
424#380—42no—
425#380—42no—
426#379—42no—
427#379—42no—
428C4×C22⋊C4—24no—
429C2×#95—42no—
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
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
478C25—22no—
479C25—22no—
480C25—22no—
481C25—22no—
482C25—22no—
483C25—41no—
484C25—41no—
485C25—41no—
486C25—41no—
487C25—41no—
488C25—41no—
489C25—41no—
490C25—41no—
491C25—41no—
492C25—41no—
493C25C2411yescharacteristic
494C25C2411yescharacteristic
495C25C2411yescharacteristic
496C25C2411yescharacteristic
497C25C2411yescharacteristic
498C25C2411yescharacteristic
499C25C2411yescharacteristic
500C22×Q8—22no—
501C22×Q8—22no—
502C22×Q8—41no—
503C22×Q8—41no—
504C22×Q8—41no—
505C22×Q8—41no—
506C22×Q8C2×D414yes—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
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—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×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×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4C2×D414yes—
629C22×D4C2×D414yes—
630C22×D4C2×D414yes—
631C22×D4C2×D414yes—
632C22×D4C2×D414yes—
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—22no—
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—41no—
665C23×C4—41no—
666C23×C4—41no—
667C23×C4—41no—
668C23×C4—41no—
669C23×C4—41no—
670C23×C4—41no—
671C23×C4—41no—
672C23×C4—41no—
673C23×C4—41no—
674C23×C4—41no—
675C23×C4—41no—
676C23×C4—41no—
677C23×C4—41no—
678C23×C4—41no—
679C23×C4C2×D414yes—
680C23×C4C2×D414yes—
681C23×C4C2×D414yes—
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
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706#126—232no—
707#126—232no—
708#124—232no—
709#124—232no—
710#123—232no—
711#123—232no—
712#123—416no—
713C22⋊Q8—232no—
714C22⋊Q8—416no—
715#121—232no—
716#121—232no—
717#121—232no—
718#121—416no—
719#121—416no—
720#121—416no—
721#121—416no—
722#121—416no—
723#121—416no—
724#121—416no—
725#120—232no—
726#120—232no—
727#120—416no—
728#120—416no—
729C4×D4—232no—
730C4×D4—232no—
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—41no—
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⋊C4C2×D414yes—
784C2×C4⋊C4C2×D414yes—
785C2×C22⋊C4—232no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
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—41no—
880C2×C22⋊C4—41no—
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⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4—41no—
952C2×C22⋊C4—41no—
953C2×C22⋊C4—41no—
954C2×C22⋊C4—41no—
955C2×C22⋊C4C2×D414yes—
956C2×C22⋊C4C2×D414yes—
957C2×C22⋊C4C2×D414yes—
958C2×C22⋊C4C2×D414yes—
959C2×C22⋊C4C2×D414yes—
960C2×C22⋊C4C2×D414yes—
961C2×C22⋊C4C2×D414yes—
962C2×C22⋊C4C2×D414yes—
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—22no—
966C2×C42—22no—
967C2×C42—22no—
968C2×C42—41no—
969C2×C42—41no—
970C2×C42C2×D414yes—
971C2×C42C2×D414yes—
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—41no—
995#95—41no—
996#95—41no—
997#95—41no—
998#95—41no—
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#95—41no—
1017#95—41no—
1018#95—41no—
1019#95—41no—
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—28no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
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—21no—
1100C24—21no—
1101C24—21no—
1102C24—21no—
1103C24—21no—
1104C24—21no—
1105C24—21no—
1106C24—21no—
1107C24—21no—
1108C24—21no—
1109C24—21no—
1110C24—21no—
1111C24—21no—
1112C24—21no—
1113C24—21no—
1114C24—21no—
1115C24—21no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—82no—
1127C24—82no—
1128C24—82no—
1129C24—82no—
1130C24—82no—
1131C24—82no—
1132C24—82no—
1133C24—82no—
1134C24—82no—
1135C24—82no—
1136C24—82no—
1137C24—82no—
1138C24—82no—
1139C24—82no—
1140C24—82no—
1141C24—82no—
1142C24—82no—
1143C24—82no—
1144C24—82no—
1145C24—82no—
1146C24—82no—
1147C24—82no—
1148C24—82no—
1149C24—82no—
1150C24C22×D412yes—
1151C24C22×D412yes—
1152C24C22×D412yes—
1153C24C22×D412yes—
1154C24C22×D412yes—
1155C24C22×D412yes—
1156C24C22×D412yes—
1157C24H(5,𝔽2)12yes—
1158C24H(5,𝔽2)12yes—
1159C242−1+412yes—
1160C24C2511yescharacteristic
1161C2×Q8—28no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—82no—
1165C2×Q8—82no—
1166C2×Q8—82no—
1167C2×Q8—82no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
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—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
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—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4—82no—
1257C2×D4—82no—
1258C2×D4—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—82no—
1266C2×D4—82no—
1267C2×D4—82no—
1268C2×D4—82no—
1269C2×D4—82no—
1270C2×D4—82no—
1271C2×D4—82no—
1272C2×D4—82no—
1273C2×D4—82no—
1274C2×D4—82no—
1275C2×D4—82no—
1276C2×D4—82no—
1277C2×D4—82no—
1278C2×D4—82no—
1279C2×D4—82no—
1280C2×D4—82no—
1281C2×D4—82no—
1282C2×D4—82no—
1283C2×D4—82no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—82no—
1287C2×D4—82no—
1288C2×D4—82no—
1289C2×D4—82no—
1290C2×D4—82no—
1291C2×D4—82no—
1292C2×D4—82no—
1293C2×D4—82no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—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—28no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—28no—
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—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—82no—
1463C22×C4—82no—
1464C22×C4—82no—
1465C22×C4—82no—
1466C22×C4—82no—
1467C22×C4—82no—
1468C22×C4—82no—
1469C22×C4—82no—
1470C22×C4—82no—
1471C22×C4—82no—
1472C22×C4—82no—
1473C22×C4—82no—
1474C22×C4—82no—
1475C22×C4—82no—
1476C22×C4—82no—
1477C22×C4—82no—
1478C22×C4—82no—
1479C22×C4—82no—
1480C22×C4—82no—
1481C22×C4—82no—
1482C22×C4—82no—
1483C22×C4—82no—
1484C22×C4—82no—
1485C22×C4—82no—
1486C22×C4—82no—
1487C22×C4—82no—
1488C22×C4—82no—
1489C22×C4—82no—
1490C22×C4—82no—
1491C22×C4—82no—
1492C22×C4C22×D412yes—
1493C22×C4C22×D412yes—
1494C22×C4C22×D412yes—
1495C22×C4C22×D412yes—
1496C22×C4C22×D412yes—
1497C22×C4C22×D412yes—
1498C22×C4C22×D412yes—
1499C22×C4C22×D412yes—
1500C22×C4C22×D412yes—
1501C22×C4C22×D412yes—
1502C22×C4C22×D412yes—
1503C22×C4C22×D412yes—
1504C22×C4C22×D412yes—
1505C22×C4C22×D412yes—
1506C22×C4H(5,𝔽2)12yes—
1507C22×C4H(5,𝔽2)12yes—
1508C22×C4H(5,𝔽2)12yes—
1509C22×C4H(5,𝔽2)12yes—
1510C22×C4H(5,𝔽2)12yes—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—82no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—82no—
1568C22⋊C4—82no—
1569C22⋊C4—82no—
1570C22⋊C4—82no—
1571C22⋊C4—82no—
1572C22⋊C4—82no—
1573C22⋊C4—82no—
1574C22⋊C4—82no—
1575C22⋊C4—82no—
1576C22⋊C4—82no—
1577C22⋊C4—82no—
1578C22⋊C4—82no—
1579C22⋊C4—82no—
1580C22⋊C4—82no—
1581C22⋊C4—82no—
1582C22⋊C4—82no—
1583C22⋊C4—82no—
1584C22⋊C4—82no—
1585C22⋊C4—82no—
1586C22⋊C4—82no—
1587C22⋊C4#120116yescomplemented
1588C42—28no—
1589C42—28no—
1590C42—82no—
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—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—416no—
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—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—41no—
1796C23—41no—
1797C23—41no—
1798C23—41no—
1799C23—41no—
1800C23—41no—
1801C23—41no—
1802C23—41no—
1803C23—41no—
1804C23—41no—
1805C23—41no—
1806C23—41no—
1807C23—41no—
1808C23—41no—
1809C23—41no—
1810C23—41no—
1811C23—41no—
1812C23—41no—
1813C23—41no—
1814C23—41no—
1815C23—41no—
1816C23—41no—
1817C23—41no—
1818C23—41no—
1819C23—41no—
1820C23—41no—
1821C23—41no—
1822C23—41no—
1823C23—41no—
1824C23—41no—
1825C23—41no—
1826C23—41no—
1827C23—41no—
1828C23—41no—
1829C23—41no—
1830C23—41no—
1831C23—41no—
1832C23—41no—
1833C23—41no—
1834C23—41no—
1835C23—88no—
1836C23—88no—
1837C23—88no—
1838C23—88no—
1839C23—88no—
1840C23—88no—
1841C23—88no—
1842C23—88no—
1843C23—88no—
1844C23—88no—
1845C23—88no—
1846C23—88no—
1847C23—88no—
1848C23—88no—
1849C23C2×#12014yes—
1850C23#53714yes—
1851C23C23×D411yescharacteristic
1852C23C23×D411yescharacteristic
1853C23C23×D411yescharacteristic
1854C23C2×H(5,𝔽2)11yescharacteristic
1855C23C2×H(5,𝔽2)11yescharacteristic
1856C23C2×H(5,𝔽2)11yescharacteristic
1857C23C2×H(5,𝔽2)11yescharacteristic
1858C23C2×H(5,𝔽2)11yescharacteristic
1859C23C2×H(5,𝔽2)11yescharacteristic
1860C23C2×H(5,𝔽2)11yescharacteristic
1861C23C2×2−1+411yescharacteristic
1862C23#58511yescharacteristic
1863C23#58511yescharacteristic
1864C23#58511yescharacteristic
1865C23#58511yescharacteristic
1866Q8—88no—
1867D4—416no—
1868D4—416no—
1869D4—88no—
1870D4—88no—
1871D4—88no—
1872D4—88no—
1873D4—88no—
1874D4—88no—
1875D4—88no—
1876D4—88no—
1877D4—88no—
1878D4—88no—
1879D4—88no—
1880D4—88no—
1881D4—88no—
1882D4—88no—
1883D4—88no—
1884D4—88no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
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—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—41no—
2028C2×C4—41no—
2029C2×C4—41no—
2030C2×C4—41no—
2031C2×C4—41no—
2032C2×C4—41no—
2033C2×C4—41no—
2034C2×C4—41no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—41no—
2038C2×C4—41no—
2039C2×C4—41no—
2040C2×C4—41no—
2041C2×C4—41no—
2042C2×C4—41no—
2043C2×C4—41no—
2044C2×C4—41no—
2045C2×C4—41no—
2046C2×C4—41no—
2047C2×C4—41no—
2048C2×C4—41no—
2049C2×C4—41no—
2050C2×C4—41no—
2051C2×C4—88no—
2052C2×C4—88no—
2053C2×C4—88no—
2054C2×C4—88no—
2055C2×C4—88no—
2056C2×C4—88no—
2057C2×C4—88no—
2058C2×C4C2×#12014yes—
2059C2×C4C2×#12014yes—
2060C22—24no—
2061C22—24no—
2062C22—24no—
2063C22—24no—
2064C22—24no—
2065C22—24no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—832no—
2119C22—81no—
2120C22—81no—
2121C22—81no—
2122C22—81no—
2123C22—81no—
2124C22—81no—
2125C22—81no—
2126C22—81no—
2127C22—81no—
2128C22—81no—
2129C22—81no—
2130C22—81no—
2131C22—81no—
2132C22—81no—
2133C22—81no—
2134C22—81no—
2135C22—81no—
2136C22—81no—
2137C22—81no—
2138C22—81no—
2139C22—81no—
2140C22—81no—
2141C22—81no—
2142C22—81no—
2143C22—81no—
2144C22—81no—
2145C22—81no—
2146C22—81no—
2147C22—81no—
2148C22—81no—
2149C22—81no—
2150C22—81no—
2151C22—81no—
2152C22—81no—
2153C22—81no—
2154C22—81no—
2155C22—81no—
2156C22—81no—
2157C22—81no—
2158C22—81no—
2159C22—81no—
2160C22—81no—
2161C22—81no—
2162C22—81no—
2163C22—81no—
2164C22—81no—
2165C22—81no—
2166C22C22×#12011yescharacteristic
2167C22C2×#53711yescharacteristic
2168C22#344911yescharacteristic
2169C22#348411yescharacteristic
2170C22#348411yescharacteristic
2171C22#348411yescharacteristic
2172C22#348411yescharacteristic
2173C22#348811yescharacteristic
2174C22#348811yescharacteristic
2175C22#348811yescharacteristic
2176C22#348811yescharacteristic
2177C22#348911yescharacteristic
2178C22#348911yescharacteristic
2179C22#349611yescharacteristic
2180C22#349611yescharacteristic
2181C22#349611yescharacteristic
2182C22#349611yescharacteristic
2183C22#349811yescharacteristic
2184C22#349811yescharacteristic
2185C22#353211yescharacteristic
2186C22#353211yescharacteristic
2187C22#353411yescharacteristic
2188C22#353611yescharacteristic
2189C22#353611yescharacteristic
2190C22#353711yescharacteristic
2191C22#354111yescharacteristic
2192C22#354111yescharacteristic
2193C22#354211yescharacteristic
2194C22#354611yescharacteristic
2195C22#355111yescharacteristic
2196C22#355811yescharacteristic
2197C22#356011yescharacteristic
2198C22#356011yescharacteristic
2199C22#356211yescharacteristic
2200C22#356211yescharacteristic
2201C4—24no—
2202C4—24no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—81no—
2217C4—81no—
2218C4—81no—
2219C4—81no—
2220C4—81no—
2221C4—81no—
2222C4—81no—
2223C4—81no—
2224C4—81no—
2225C2—44no—
2226C2—44no—
2227C2—82no—
2228C2—82no—
2229C2—82no—
2230C2—82no—
2231C2—161no—
2232C2#3525111yescharacteristic
2233C2#3568011yescharacteristic
2234C2#3568011yescharacteristic
2235C2#3674411yescharacteristic
2236C2#3723511yescharacteristic
2237C2#4048811yescharacteristic
2238C2#4051511yescharacteristic
2239C2#4636611yescharacteristic
2240C2#4638011yescharacteristic
2241C2#4767411yescharacteristic
2242C2#4768911yescharacteristic
2243C2#4783811yescharacteristic
2244C2#4786111yescharacteristic
2245C2#5064211yescharacteristic
2246C2#5065411yescharacteristic
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×#538C2semidirect
2. C2×#2676C2semidirect
3. C2×#2675C2semidirect
4. C2×#2464C2semidirect
5. #16680C2semidirect
6. #16659C2semidirect
7. #16658C2semidirect
8. #16655C2semidirect
9. #16654C2semidirect
10. #16257C2semidirect
11. #16250C2semidirect
12. #16250C2semidirect
13. #15951C2semidirect
14. #15280C2semidirect
15. #15273C2semidirect
16. #15267C2semidirect
17. #15263C2semidirect
18. #15257C2semidirect
19. #15257C2semidirect
20. #15257C2semidirect
21. #15215C2semidirect
22. #15203C2semidirect
23. #15123C2semidirect
24. #14926C2semidirect
25. #14917C2semidirect
26. #14757C2semidirect
27. #14726C2semidirect
28. #14716C2semidirect
29. #14421C2semidirect
30. #14361C2semidirect
31. #13899C2semidirect
41. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
51. C22×#121C22semidirect
52. C22×#121C22semidirect
53. C22×#121C22semidirect
64. C2×#398C22semidirect
67. C2×#396C22semidirect
70. C2×#394C22semidirect
71. C2×#394C22semidirect
72. C2×#393C22semidirect
84. C2×#392C22semidirect
85. C2×#391C22semidirect
88. C2×#390C22semidirect
89. C2×#388C22semidirect
90. C2×#388C22semidirect
91. C2×#387C22semidirect
100. C2×#386C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
105. C2×#385C22semidirect
106. C2×#385C22semidirect
107. C2×#385C22semidirect
108. C2×#385C22semidirect
110. C2×#380C22semidirect
113. C2×C4×C22⋊C4C22semidirect
114. C22×#95C22semidirect
115. #1446C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
177. #1438C22semidirect
178. #1438C22semidirect
179. #1438C22semidirect
180. #1438C22semidirect
181. #1438C22semidirect
183. #1436C22semidirect
184. C4⋊#95C22semidirect
185. C4⋊#95C22semidirect
186. #1434C22semidirect
187. #1434C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
232. C2×#124D4semidirect
277. C2×#121D4semidirect
295. C2×C4×D4D4semidirect
1587. C22⋊C4#120semidirect

Maximal subgroups

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

subgroupindex
C22×#5382
C2×#26762
C2×#26752
C2×#24642
#166802
#166592
#166582
#166552
#166542
#162572
#162502
#159512
#152802
#152732
#152672
#152632
#152572
#152152
#152032
#151232
#149262
#149172
#147572
#147262
#147162
#144212
#143612
#138992