Finite Group Databasebeta

← #892451

Subgroups — #892451

Order 512.

5090 conjugacy classes of subgroups.

The subgroup lattice has 2250 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2676C211yesmaximal, characteristic, complemented
2C2×#2670C211yesmaximal, characteristic, complemented
3C2×#2669C211yesmaximal, characteristic, complemented
4C2×#2847C211yesmaximal, characteristic, complemented
5C2×#2427C211yesmaximal, characteristic, complemented
6C2×C4×#120C211yesmaximal, characteristic, complemented
7#16512C211yesmaximal, characteristic, complemented
8#16500C211yesmaximal, characteristic, complemented
9#16255C211yesmaximal, characteristic, complemented
10#16249C211yesmaximal, characteristic, complemented
11#15764C211yesmaximal, characteristic, complemented
12#15577C211yesmaximal, characteristic, complemented
13#15419C211yesmaximal, characteristic, complemented
14#15323C211yesmaximal, characteristic, complemented
15#15316C211yesmaximal, characteristic, complemented
16#15314C211yesmaximal, characteristic, complemented
17#15310C211yesmaximal, characteristic, complemented
18#15273C211yesmaximal, characteristic, complemented
19#14817C211yesmaximal, characteristic, complemented
20#14811C211yesmaximal, characteristic, complemented
21#14762C211yesmaximal, characteristic, complemented
22#14732C211yesmaximal, characteristic, complemented
23#14732C211yesmaximal, characteristic, complemented
24#14722C211yesmaximal, characteristic, complemented
25#14694C211yesmaximal, characteristic, complemented
26#14408C211yesmaximal, characteristic, complemented
27#14207C211yesmaximal, characteristic, complemented
28#14108C211yesmaximal, characteristic, complemented
29#14100C211yesmaximal, characteristic, complemented
30#14098C211yesmaximal, characteristic, complemented
31#14025C211yesmaximal, characteristic, complemented
32C25×C4C2211yescharacteristic
33C22×#127C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49#2847—28no—
50#2676—28no—
51#2670—28no—
52#2669—28no—
53#2427—28no—
54C2×#397C2211yescharacteristic
55C2×#397C2211yescharacteristic, complemented
56C2×#396C2211yescharacteristic, complemented
57C2×#396C2211yescharacteristic, complemented
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic, complemented
67C2×#394C2211yescharacteristic, complemented
68C2×#393C2211yescharacteristic
69C2×#393C2211yescharacteristic, complemented
70C2×#392C2211yescharacteristic
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic, complemented
81C2×#392C2211yescharacteristic, complemented
82C2×#392C2211yescharacteristic, complemented
83C4×#120—28no—
84C2×#391C2211yescharacteristic, complemented
85C2×#390C2211yescharacteristic
86C2×#390C2211yescharacteristic
87C2×#390C2211yescharacteristic, complemented
88C2×#390C2211yescharacteristic, complemented
89C2×#390C2211yescharacteristic, complemented
90C2×#389C2211yescharacteristic, complemented
91C2×#388C2211yescharacteristic
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#387C2211yescharacteristic, complemented
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic
103C2×#386C2211yescharacteristic
104C2×#386C2211yescharacteristic
105C2×#386C2211yescharacteristic
106C2×#386C2211yescharacteristic
107C2×#386C2211yescharacteristic
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#386C2211yescharacteristic
112C2×#386C2211yescharacteristic, complemented
113C2×#386C2211yescharacteristic, complemented
114C2×#386C2211yescharacteristic, complemented
115C2×#386C2211yescharacteristic, complemented
116C2×#385C2211yescharacteristic
117C2×#385C2211yescharacteristic
118C2×#385C2211yescharacteristic
119C2×#380C2211yescharacteristic
120C2×#380C2211yescharacteristic
121C2×#380C2211yescharacteristic
122C2×#380C2211yescharacteristic, complemented
123C2×#379C2211yescharacteristic
124C2×#379C2211yescharacteristic
125C2×C4×C22⋊C4C2211yescharacteristic
126C2×C4×C22⋊C4C2211yescharacteristic
127C2×C4×C22⋊C4C2211yescharacteristic
128C2×C4×C22⋊C4C2211yescharacteristic, complemented
129#1446C2211yescharacteristic, complemented
130#1445C2211yescharacteristic, complemented
131#1444C2211yescharacteristic, complemented
132#1443C2211yescharacteristic, complemented
133#1442C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic
143#1440C2211yescharacteristic, complemented
144#1440C2211yescharacteristic, complemented
145#1440C2211yescharacteristic, complemented
146#1440C2211yescharacteristic, complemented
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
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, complemented
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184#1434C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic, complemented
192C4×#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×C4—24no—
214C24×C4—24no—
215C24×C4—42no—
216C24×C4—42no—
217C24×C4—42no—
218C24×C4—42no—
219C24×C4—42no—
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C2×#127—24no—
229C2×#127—24no—
230C2×#127—42no—
231C2×#124—24no—
232C2×#124—24no—
233C2×#124—24no—
234C2×#124—24no—
235C2×#124—24no—
236C2×#124—42no—
237C2×C22⋊Q8—24no—
238C2×C22⋊Q8—24no—
239C2×C22⋊Q8—42no—
240C2×#121—24no—
241C2×#121—24no—
242C2×#121—24no—
243C2×#121—24no—
244C2×#121—24no—
245C2×#121—24no—
246C2×#121—24no—
247C2×#121—24no—
248C2×#121—24no—
249C2×#121—42no—
250C2×#121—42no—
251C2×#121—42no—
252C2×#121—42no—
253C2×#121—42no—
254C2×#121—42no—
255C2×#120—24no—
256C2×#120—24no—
257C2×#120—24no—
258C2×#120—24no—
259C2×#120—24no—
260C2×#120—24no—
261C2×#120—24no—
262C2×#120—24no—
263C2×#120—42no—
264C2×#120—42no—
265C2×#120—42no—
266C2×#120D418yescomplemented
267C2×C4×D4—24no—
268C2×C4×D4—24no—
269C2×C4×D4—24no—
270C2×C4×D4—24no—
271C2×C4×D4—42no—
272C2×C4×D4—42no—
273C2×C4×D4—42no—
274C2×C4×D4—42no—
275C2×C4×D4—42no—
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×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×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353#397—24no—
354#397—24no—
355#396—24no—
356#396—42no—
357#394—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—24no—
365#394—42no—
366#394—42no—
367#393—24no—
368#393—24no—
369#392—24no—
370#392—24no—
371#392—24no—
372#392—24no—
373#392—24no—
374#392—24no—
375#392—24no—
376#392—24no—
377#392—24no—
378#392—24no—
379#392—42no—
380#392—42no—
381#392—42no—
382#391—24no—
383#390—24no—
384#390—24no—
385#390—24no—
386#390—42no—
387#390—42no—
388#389—24no—
389#388—24no—
390#388—24no—
391#388—24no—
392#388—24no—
393#387—24no—
394#386—24no—
395#386—24no—
396#386—24no—
397#386—24no—
398#386—24no—
399#386—24no—
400#386—24no—
401#386—24no—
402#386—24no—
403#386—24no—
404#386—24no—
405#386—24no—
406#386—24no—
407#386—24no—
408#386—42no—
409#386—42no—
410#386—42no—
411#386—42no—
412#386—42no—
413#386—42no—
414#385—24no—
415#385—24no—
416#385D418yescomplemented
417#380—24no—
418#380—24no—
419#380—24no—
420#380D418yescomplemented
421#379—24no—
422#379—24no—
423C4×C22⋊C4—24no—
424C4×C22⋊C4—24no—
425C4×C22⋊C4—24no—
426C4×C22⋊C4—24no—
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
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
477C25—22no—
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—
491C25C2×D414yes—
492C25C2411yescharacteristic
493C25C2411yescharacteristic
494C25C2411yescharacteristic
495C25C2411yescharacteristic
496C25C2411yescharacteristic
497C25C2411yescharacteristic
498C25C2411yescharacteristic
499C22×Q8—22no—
500C22×Q8—22no—
501C22×Q8—22no—
502C22×Q8—22no—
503C22×Q8—41no—
504C22×Q8—41no—
505C22×Q8—41no—
506C22×D4—22no—
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—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
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×D4#4114yes—
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—22no—
651C23×C4—22no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—22no—
656C23×C4—22no—
657C23×C4—22no—
658C23×C4—22no—
659C23×C4—22no—
660C23×C4—22no—
661C23×C4—22no—
662C23×C4—22no—
663C23×C4—22no—
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×C4—41no—
680C23×C4—416no—
681C23×C4—41no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—416no—
688C23×C4—416no—
689C23×C4—416no—
690C23×C4—416no—
691C23×C4—416no—
692C23×C4—416no—
693C23×C4C2×D414yes—
694C23×C4C2×D414yes—
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719#127—416no—
720#124—416no—
721#124—416no—
722C22⋊Q8—416no—
723#121—416no—
724#121—416no—
725#121—416no—
726#121—416no—
727#121—416no—
728#120—232no—
729#120—416no—
730#120—416no—
731#120—416no—
732C4×D4—416no—
733C4×D4—416no—
734C4×D4—416no—
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—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4—41no—
758C2×C4⋊C4—41no—
759C2×C4⋊C4—41no—
760C2×C4⋊C4—41no—
761C2×C4⋊C4—41no—
762C2×C4⋊C4—41no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4—41no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4C2×D414yes—
771C2×C4⋊C4C2×D414yes—
772C2×C4⋊C4C2×D414yes—
773C2×C4⋊C4C2×D414yes—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—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—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
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⋊C4C2×D414yes—
941C2×C22⋊C4C2×D414yes—
942C2×C22⋊C4C2×D414yes—
943C2×C22⋊C4C2×D414yes—
944C2×C22⋊C4C2×D414yes—
945C2×C22⋊C4C2×D414yes—
946C2×C22⋊C4C2×D414yes—
947C2×C22⋊C4#4114yes—
948C2×C42—22no—
949C2×C42—22no—
950C2×C42—22no—
951C2×C42—22no—
952C2×C42—22no—
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—41no—
962C2×C42—41no—
963C2×C42—41no—
964C2×C42—41no—
965C2×C42—41no—
966#95—22no—
967#95—22no—
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—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#95C2×D414yes—
1013#95C2×D414yes—
1014#95C2×D414yes—
1015#95C2×D414yes—
1016C24—21no—
1017C24—21no—
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—28no—
1053C24—28no—
1054C24—28no—
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—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—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24C22×D412yes—
1146C24C22×D412yes—
1147C24C22×D412yes—
1148C24C22×D412yes—
1149C24C22×D412yes—
1150C24C22×D412yes—
1151C24C2×#4112yes—
1152C24C2×#4112yes—
1153C24C2×#4112yes—
1154C24H(5,𝔽2)12yes—
1155C24H(5,𝔽2)12yes—
1156C24C2511yescharacteristic
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—82no—
1162C2×Q8—82no—
1163C2×Q8—82no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
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—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
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—
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—28no—
1307C22×C4—28no—
1308C22×C4—28no—
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—28no—
1370C22×C4—28no—
1371C22×C4—28no—
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—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—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
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—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—4128no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—82no—
1488C22×C4—82no—
1489C22×C4—82no—
1490C22×C4—82no—
1491C22×C4—82no—
1492C22×C4—82no—
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×C4C22×D412yes—
1507C22×C4C22×D412yes—
1508C22×C4C2×#4112yes—
1509C22×C4C2×#4112yes—
1510C22×C4C2×#4112yes—
1511C22×C4H(5,𝔽2)12yes—
1512C22×C4H(5,𝔽2)12yes—
1513C22×C4H(5,𝔽2)12yes—
1514C22×C4H(5,𝔽2)12yes—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—82no—
1525C4⋊C4—82no—
1526C4⋊C4—82no—
1527C4⋊C4—82no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
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—82no—
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#121116yescomplemented
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—44no—
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—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—416no—
1661C23—416no—
1662C23—416no—
1663C23—416no—
1664C23—416no—
1665C23—416no—
1666C23—416no—
1667C23—416no—
1668C23—416no—
1669C23—416no—
1670C23—416no—
1671C23—416no—
1672C23—416no—
1673C23—416no—
1674C23—416no—
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—41no—
1836C23—41no—
1837C23—41no—
1838C23—41no—
1839C23—41no—
1840C23—41no—
1841C23—41no—
1842C23—41no—
1843C23—41no—
1844C23—41no—
1845C23—41no—
1846C23—41no—
1847C23—41no—
1848C23—41no—
1849C23C2×#12114yes—
1850C23D4214yes—
1851C23#54614yes—
1852C23C23×D411yescharacteristic
1853C23C23×D411yescharacteristic
1854C23C23×D411yescharacteristic
1855C23C22×#4111yescharacteristic
1856C23C22×#4111yescharacteristic
1857C23C2×H(5,𝔽2)11yescharacteristic
1858C23C2×H(5,𝔽2)11yescharacteristic
1859C23C2×H(5,𝔽2)11yescharacteristic
1860C23C2×H(5,𝔽2)11yescharacteristic
1861C23C2×H(5,𝔽2)11yescharacteristic
1862C23C2×H(5,𝔽2)11yescharacteristic
1863C23#58511yescharacteristic
1864C23#58511yescharacteristic
1865C23#58511yescharacteristic
1866C23#58511yescharacteristic
1867Q8—88no—
1868D4—416no—
1869D4—416no—
1870D4—416no—
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—
1885D4—88no—
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—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—416no—
1941C2×C4—416no—
1942C2×C4—416no—
1943C2×C4—416no—
1944C2×C4—416no—
1945C2×C4—416no—
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—41no—
2052C2×C4—41no—
2053C2×C4—41no—
2054C2×C4—41no—
2055C2×C4—41no—
2056C2×C4—88no—
2057C2×C4—88no—
2058C2×C4C2×#12114yes—
2059C2×C4C2×#12114yes—
2060C2×C4#53514yes—
2061C2×C4D4214yes—
2062C22—24no—
2063C22—24no—
2064C22—24no—
2065C22—24no—
2066C22—24no—
2067C22—24no—
2068C22—24no—
2069C22—24no—
2070C22—24no—
2071C22—464no—
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—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
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—
2166C22—81no—
2167C22—81no—
2168C22C22×#12111yescharacteristic
2169C22C2×#53511yescharacteristic
2170C22#345911yescharacteristic
2171C22#346011yescharacteristic
2172C22#346011yescharacteristic
2173C22C2×D4211yescharacteristic
2174C22C2×D4211yescharacteristic
2175C22C2×#54611yescharacteristic
2176C22D4×#4111yescharacteristic
2177C22D4×#4111yescharacteristic
2178C22D4×#4111yescharacteristic
2179C22#348111yescharacteristic
2180C22#348411yescharacteristic
2181C22#348411yescharacteristic
2182C22#348411yescharacteristic
2183C22#348711yescharacteristic
2184C22#348711yescharacteristic
2185C22#348811yescharacteristic
2186C22#349611yescharacteristic
2187C22#349611yescharacteristic
2188C22#349611yescharacteristic
2189C22#349611yescharacteristic
2190C22#350511yescharacteristic
2191C22#351311yescharacteristic
2192C22#351911yescharacteristic
2193C22#351911yescharacteristic
2194C22#352911yescharacteristic
2195C22#353211yescharacteristic
2196C22#353211yescharacteristic
2197C22#353311yescharacteristic
2198C22#353411yescharacteristic
2199C22#354011yescharacteristic
2200C22#354011yescharacteristic
2201C22#354211yescharacteristic
2202C22#354211yescharacteristic
2203C4—24no—
2204C4—24no—
2205C4—24no—
2206C4—24no—
2207C4—42no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—81no—
2218C4—81no—
2219C4—81no—
2220C4—81no—
2221C4—81no—
2222C4—81no—
2223C4—81no—
2224C4—81no—
2225C4—81no—
2226C4—81no—
2227C2—44no—
2228C2—44no—
2229C2—44no—
2230C2—82no—
2231C2—82no—
2232C2—161no—
2233C2—161no—
2234C2#3516811yescharacteristic
2235C2D4×#12111yescharacteristic
2236C2#3621411yescharacteristic
2237C2#3685711yescharacteristic
2238C2#3764511yescharacteristic
2239C2#3780311yescharacteristic
2240C2#3782511yescharacteristic
2241C2#3933911yescharacteristic
2242C2#3942811yescharacteristic
2243C2#4038211yescharacteristic
2244C2#4544911yescharacteristic
2245C2#4547711yescharacteristic
2246C2#5216411yescharacteristic
2247C2#5900111yescharacteristic
2248C2#5912311yescharacteristic
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. C2×#2676C2semidirect
2. C2×#2670C2semidirect
3. C2×#2669C2semidirect
4. C2×#2847C2semidirect
5. C2×#2427C2semidirect
6. C2×C4×#120C2semidirect
7. #16512C2semidirect
8. #16500C2semidirect
9. #16255C2semidirect
10. #16249C2semidirect
11. #15764C2semidirect
12. #15577C2semidirect
13. #15419C2semidirect
14. #15323C2semidirect
15. #15316C2semidirect
16. #15314C2semidirect
17. #15310C2semidirect
18. #15273C2semidirect
19. #14817C2semidirect
20. #14811C2semidirect
21. #14762C2semidirect
22. #14732C2semidirect
23. #14732C2semidirect
24. #14722C2semidirect
25. #14694C2semidirect
26. #14408C2semidirect
27. #14207C2semidirect
28. #14108C2semidirect
29. #14100C2semidirect
30. #14098C2semidirect
31. #14025C2semidirect
36. C22×C22⋊Q8C22semidirect
55. C2×#397C22semidirect
56. C2×#396C22semidirect
57. C2×#396C22semidirect
66. C2×#394C22semidirect
67. C2×#394C22semidirect
69. C2×#393C22semidirect
80. C2×#392C22semidirect
81. C2×#392C22semidirect
82. C2×#392C22semidirect
84. C2×#391C22semidirect
87. C2×#390C22semidirect
88. C2×#390C22semidirect
89. C2×#390C22semidirect
90. C2×#389C22semidirect
95. C2×#387C22semidirect
112. C2×#386C22semidirect
113. C2×#386C22semidirect
114. C2×#386C22semidirect
115. C2×#386C22semidirect
122. C2×#380C22semidirect
128. C2×C4×C22⋊C4C22semidirect
129. #1446C22semidirect
130. #1445C22semidirect
131. #1444C22semidirect
132. #1443C22semidirect
133. #1442C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
143. #1440C22semidirect
144. #1440C22semidirect
145. #1440C22semidirect
146. #1440C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. C4⋊#95C22semidirect
183. #1434C22semidirect
184. #1434C22semidirect
191. C22⋊#95C22semidirect
192. C4×#95C22semidirect
266. C2×#120D4semidirect
416. #385D4semidirect
420. #380D4semidirect
1585. C22⋊C4#121semidirect

Maximal subgroups

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

subgroupindex
C2×#26762
C2×#26702
C2×#26692
C2×#28472
C2×#24272
C2×C4×#1202
#165122
#165002
#162552
#162492
#157642
#155772
#154192
#153232
#153162
#153142
#153102
#152732
#148172
#148112
#147622
#147322
#147222
#146942
#144082
#142072
#141082
#141002
#140982
#140252