Finite Group Databasebeta

← #648044

Subgroups — #648044

Order 512.

6407 conjugacy classes of subgroups.

The subgroup lattice has 2213 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#525C211yesmaximal, characteristic, complemented
2C2×#2849C211yesmaximal, characteristic, complemented
3C2×#2430C211yesmaximal, characteristic, complemented
4C2×#2425C211yesmaximal, characteristic, complemented
5C2×#2424C211yesmaximal, characteristic, complemented
6C2×#2339C211yesmaximal, characteristic, complemented
7#15280C211yesmaximal, characteristic, complemented
8#15279C211yesmaximal, characteristic, complemented
9#15278C211yesmaximal, characteristic, complemented
10#15277C211yesmaximal, characteristic, complemented
11#15276C211yesmaximal, characteristic, complemented
12#15275C211yesmaximal, characteristic, complemented
13#15274C211yesmaximal, characteristic, complemented
14#15273C211yesmaximal, characteristic, complemented
15#14926C211yesmaximal, characteristic, complemented
16#14912C211yesmaximal, characteristic, complemented
17#14733C211yesmaximal, characteristic, complemented
18#14732C211yesmaximal, characteristic, complemented
19#14731C211yesmaximal, characteristic, complemented
20#14730C211yesmaximal, characteristic, complemented
21#14718C211yesmaximal, characteristic, complemented
22#14716C211yesmaximal, characteristic, complemented
23#14187C211yesmaximal, characteristic, complemented
24#14185C211yesmaximal, characteristic, complemented
25#14135C211yesmaximal, characteristic, complemented
26#14128C211yesmaximal, characteristic, complemented
27#14023C211yesmaximal, characteristic, complemented
28#13975C211yesmaximal, characteristic, complemented
29#13968C211yesmaximal, characteristic, complemented
30#13967C211yesmaximal, characteristic, complemented
31C2×C22⋊#95C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C25×C4C2211yescharacteristic
34C2×#525—28no—
35C2×#525—28no—
36C2×#525—28no—
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic
56C22×C4×D4C2211yescharacteristic
57C22×#117C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60#2849—28no—
61#2430—28no—
62#2425—28no—
63#2424—28no—
64C2×#398C2211yescharacteristic, complemented
65C2×#397C2211yescharacteristic, complemented
66C2×#396C2211yescharacteristic
67C2×#396C2211yescharacteristic, complemented
68C2×#395C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic, complemented
74C2×#394C2211yescharacteristic, complemented
75C2×#393C2211yescharacteristic, complemented
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic, complemented
80#2339—28no—
81C2×#391C2211yescharacteristic, complemented
82C2×#391C2211yescharacteristic, complemented
83C2×#390C2211yescharacteristic
84C2×#389C2211yescharacteristic, complemented
85C2×#388C2211yescharacteristic
86C2×#388C2211yescharacteristic, complemented
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
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×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic
109C2×#385C2211yescharacteristic
110C2×#385C2211yescharacteristic
111C2×#385C2211yescharacteristic, complemented
112C2×#385C2211yescharacteristic, complemented
113C2×#381C2211yescharacteristic
114C2×#381C2211yescharacteristic
115C2×#381C2211yescharacteristic, complemented
116C2×#380C2211yescharacteristic, complemented
117C2×#380C2211yescharacteristic, complemented
118C2×#379C2211yescharacteristic
119C2×C4×C22⋊C4C2211yescharacteristic, complemented
120C22×#95C2211yescharacteristic
121C22×#95C2211yescharacteristic
122C22×#95C2211yescharacteristic
123C22×#95C2211yescharacteristic
124C22×#95C2211yescharacteristic, complemented
125#1444C2211yescharacteristic, complemented
126#1444C2211yescharacteristic, complemented
127#1444C2211yescharacteristic, complemented
128#1444C2211yescharacteristic, complemented
129#1442C2211yescharacteristic, complemented
130#1442C2211yescharacteristic, complemented
131#1442C2211yescharacteristic, complemented
132#1442C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic, complemented
142#1440C2211yescharacteristic, complemented
143#1440C2211yescharacteristic, complemented
144#1440C2211yescharacteristic, complemented
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
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#1439C2211yescharacteristic, complemented
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic
192C22⋊#95C2211yescharacteristic
193C22⋊#95C2211yescharacteristic, complemented
194C22⋊#95C2211yescharacteristic, complemented
195C26C2311yescharacteristic
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—24no—
200C22×#41—42no—
201C22×#41—42no—
202C22×#41D418yescomplemented
203C23×Q8C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C24×C4—24no—
217C24×C4—24no—
218C24×C4—24no—
219C24×C4—24no—
220C24×C4—24no—
221C24×C4—42no—
222C24×C4—42no—
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237#525—2128no—
238C2×#123—24no—
239C2×#123—24no—
240C2×#123—24no—
241C2×#123—24no—
242C2×#123—24no—
243C2×#123—24no—
244C2×#123—24no—
245C2×#123—24no—
246C2×#123—24no—
247C2×#123—24no—
248C2×#123—42no—
249C2×#123D418yescomplemented
250C2×C22⋊Q8—24no—
251C2×C22⋊Q8—24no—
252C2×C22⋊Q8—24no—
253C2×C22⋊Q8—24no—
254C2×C22⋊Q8—24no—
255C2×C22⋊Q8—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—24no—
266C2×#121—24no—
267C2×#121—24no—
268C2×#121—42no—
269C2×#121—42no—
270C2×#121—42no—
271C2×#120—24no—
272C2×#120—24no—
273C2×#120—24no—
274C2×#120—24no—
275C2×#120—24no—
276C2×#120—24no—
277C2×#120—24no—
278C2×#120—42no—
279C2×#120D418yescomplemented
280C2×C4×D4—24no—
281C2×C4×D4—24no—
282C2×C4×D4—24no—
283C2×C4×D4—24no—
284C2×C4×D4—24no—
285C2×C4×D4—24no—
286C2×C4×D4—24no—
287C2×C4×D4—24no—
288C2×C4×D4—24no—
289C2×C4×D4—24no—
290C2×C4×D4—24no—
291C2×C4×D4—24no—
292C2×C4×D4—24no—
293C2×C4×D4—24no—
294C2×C4×D4—24no—
295C2×C4×D4—24no—
296C2×C4×D4—42no—
297C2×C4×D4—42no—
298C2×#117—24no—
299C2×#117—24no—
300C2×#117—24no—
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C22⋊C4—24no—
320C22×C22⋊C4—24no—
321C22×C22⋊C4—24no—
322C22×C22⋊C4—42no—
323C22×C22⋊C4—42no—
324C22×C22⋊C4—42no—
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×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378#398—24no—
379#397—24no—
380#396—24no—
381#396—24no—
382#395—24no—
383#394—24no—
384#394—24no—
385#394—24no—
386#394—24no—
387#394—24no—
388#394—42no—
389#393—24no—
390#392—24no—
391#392—24no—
392#392—24no—
393#392—42no—
394#391—24no—
395#391—24no—
396#390—24no—
397#389—24no—
398#388—24no—
399#388—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—24no—
409#386—24no—
410#386—24no—
411#386—24no—
412#386—24no—
413#386—24no—
414#386—24no—
415#386—24no—
416#386—24no—
417#386—42no—
418#385—24no—
419#385—24no—
420#385—24no—
421#385—24no—
422#385—24no—
423#385—24no—
424#385—24no—
425#385—24no—
426#381—24no—
427#381—24no—
428#381D418yescomplemented
429#380—24no—
430#380—24no—
431#379—24no—
432C4×C22⋊C4—24no—
433C2×#95—24no—
434C2×#95—24no—
435C2×#95—24no—
436C2×#95—24no—
437C2×#95—42no—
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C2×#95C2311yescharacteristic
472C2×#95C2311yescharacteristic
473C2×#95C2311yescharacteristic
474C2×#95C2311yescharacteristic
475C2×#95C2311yescharacteristic
476C2×#95C2311yescharacteristic
477C2×#95C2311yescharacteristic
478C2×#95C2311yescharacteristic
479C2×#95C2311yescharacteristic
480C2×#95C2311yescharacteristic
481C2×#95C2311yescharacteristic
482C2×#95C2311yescharacteristic
483C2×#95C2311yescharacteristic
484C2×#95C2311yescharacteristic
485C2×#95C2311yescharacteristic
486C2×#95C2311yescharacteristic
487C2×#95C2311yescharacteristic
488C2×#95C2311yescharacteristic
489C2×#95C2311yescharacteristic
490C2×#95C2311yescharacteristic
491C2×#95C2311yescharacteristic
492C2×#95C2311yescharacteristic
493C2×#95C2311yescharacteristic
494C25—22no—
495C25—22no—
496C25—22no—
497C25—22no—
498C25—22no—
499C25—22no—
500C25—22no—
501C25—22no—
502C25—22no—
503C25—22no—
504C25—41no—
505C25—41no—
506C25—41no—
507C25—41no—
508C25C2×D414yes—
509C25C2411yescharacteristic
510C25C2411yescharacteristic
511C25C2411yescharacteristic
512C25C2411yescharacteristic
513C25C2411yescharacteristic
514C25C2411yescharacteristic
515C2×#41—232no—
516C2×#41—232no—
517C2×#41—416no—
518C2×#41—416no—
519C2×#41—416no—
520C2×#41—416no—
521C2×#41—416no—
522C22×Q8—22no—
523C22×Q8—22no—
524C22×Q8—22no—
525C22×Q8—22no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8C2×D414yes—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
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×D4C2×D414yes—
607C22×D4C2×D414yes—
608C22×D4C2×D414yes—
609C22×D4C2×D414yes—
610C22×D4C2×D414yes—
611C22×D4C2×D414yes—
612C22×D4C2×D414yes—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—232no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—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—22no—
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—22no—
668C23×C4—22no—
669C23×C4—22no—
670C23×C4—22no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—22no—
674C23×C4—41no—
675C23×C4—41no—
676C23×C4—41no—
677C23×C4—41no—
678C23×C4—41no—
679C23×C4—41no—
680C23×C4—41no—
681C23×C4—41no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—416no—
687C23×C4—416no—
688C23×C4—41no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4—41no—
692C23×C4—41no—
693C23×C4—41no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—41no—
697C23×C4—41no—
698C23×C4—41no—
699C23×C4—41no—
700C23×C4—41no—
701C23×C4—41no—
702C23×C4—41no—
703C23×C4—41no—
704C23×C4—41no—
705C23×C4—41no—
706C23×C4—41no—
707C23×C4—41no—
708C23×C4—416no—
709C23×C4—416no—
710C23×C4—416no—
711C23×C4—416no—
712C23×C4C2×D414yes—
713C23×C4C2×D414yes—
714C23×C4C2×D414yes—
715C23×C4C2×D414yes—
716C23×C4C2×D414yes—
717C23×C4#4114yes—
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743#123—232no—
744#123—232no—
745#123—416no—
746#123—416no—
747C22⋊Q8—232no—
748C22⋊Q8—232no—
749#121—232no—
750#121—232no—
751#121—416no—
752#121—416no—
753#121—416no—
754#120—232no—
755#120—232no—
756#120—416no—
757C4×D4—232no—
758C4×D4—232no—
759C4×D4—232no—
760C4×D4—232no—
761C4×D4—416no—
762C4×D4—416no—
763#117—232no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—22no—
772C2×C4⋊C4—22no—
773C2×C4⋊C4—22no—
774C2×C4⋊C4—22no—
775C2×C4⋊C4—22no—
776C2×C4⋊C4—22no—
777C2×C4⋊C4—22no—
778C2×C4⋊C4—22no—
779C2×C4⋊C4—22no—
780C2×C4⋊C4—22no—
781C2×C4⋊C4—22no—
782C2×C4⋊C4—22no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—22no—
785C2×C4⋊C4—22no—
786C2×C4⋊C4—22no—
787C2×C4⋊C4—22no—
788C2×C4⋊C4—22no—
789C2×C4⋊C4—22no—
790C2×C4⋊C4—22no—
791C2×C4⋊C4—22no—
792C2×C4⋊C4—22no—
793C2×C4⋊C4—22no—
794C2×C4⋊C4—22no—
795C2×C4⋊C4—22no—
796C2×C4⋊C4—22no—
797C2×C4⋊C4—22no—
798C2×C4⋊C4—22no—
799C2×C4⋊C4—22no—
800C2×C4⋊C4—22no—
801C2×C4⋊C4—22no—
802C2×C4⋊C4—22no—
803C2×C4⋊C4—22no—
804C2×C4⋊C4—41no—
805C2×C4⋊C4—41no—
806C2×C4⋊C4—41no—
807C2×C4⋊C4—41no—
808C2×C4⋊C4—41no—
809C2×C4⋊C4—41no—
810C2×C4⋊C4—41no—
811C2×C4⋊C4—41no—
812C2×C4⋊C4—41no—
813C2×C4⋊C4—41no—
814C2×C4⋊C4—41no—
815C2×C4⋊C4—41no—
816C2×C4⋊C4C2×D414yes—
817C2×C4⋊C4C2×D414yes—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—22no—
901C2×C22⋊C4—22no—
902C2×C22⋊C4—22no—
903C2×C22⋊C4—22no—
904C2×C22⋊C4—22no—
905C2×C22⋊C4—22no—
906C2×C22⋊C4—22no—
907C2×C22⋊C4—22no—
908C2×C22⋊C4—22no—
909C2×C22⋊C4—22no—
910C2×C22⋊C4—22no—
911C2×C22⋊C4—22no—
912C2×C22⋊C4—22no—
913C2×C22⋊C4—22no—
914C2×C22⋊C4—22no—
915C2×C22⋊C4—416no—
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—416no—
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⋊C4—41no—
956C2×C22⋊C4—41no—
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×C22⋊C4C2×D414yes—
964C2×C22⋊C4C2×D414yes—
965C2×C22⋊C4#4114yescomplemented
966C2×C22⋊C4#4114yescomplemented
967C2×C42—22no—
968C2×C42—22no—
969C2×C42—22no—
970C2×C42—22no—
971C2×C42—22no—
972C2×C42—22no—
973C2×C42—22no—
974C2×C42—22no—
975C2×C42—22no—
976C2×C42—22no—
977C2×C42—41no—
978C2×C42—41no—
979#95—22no—
980#95—22no—
981#95—22no—
982#95—22no—
983#95—22no—
984#95—22no—
985#95—22no—
986#95—22no—
987#95—22no—
988#95—22no—
989#95—22no—
990#95—22no—
991#95—22no—
992#95—22no—
993#95—22no—
994#95—22no—
995#95—22no—
996#95—22no—
997#95—22no—
998#95—22no—
999#95—22no—
1000#95—22no—
1001#95—22no—
1002#95—22no—
1003#95—22no—
1004#95—22no—
1005#95—22no—
1006#95—22no—
1007#95—22no—
1008#95—22no—
1009#95—22no—
1010#95—22no—
1011#95—22no—
1012#95—22no—
1013#95—22no—
1014#95—22no—
1015#95—41no—
1016#95—41no—
1017#95—41no—
1018#95—41no—
1019#95—41no—
1020#95—41no—
1021#95—41no—
1022#95—41no—
1023#95—41no—
1024#95—41no—
1025#95—41no—
1026#95—41no—
1027#95—41no—
1028#95—41no—
1029#95—41no—
1030#95—41no—
1031#95C2×D414yes—
1032#95C2×D414yes—
1033#95C2×D414yes—
1034#95C2×D414yes—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—28no—
1044C24—28no—
1045C24—28no—
1046C24—28no—
1047C24—28no—
1048C24—28no—
1049C24—28no—
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—28no—
1087C24—28no—
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—21no—
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—
1143C24C22×D412yes—
1144C24C22×D412yes—
1145C24C22×D412yes—
1146C24C22×D412yes—
1147C24C22×D412yes—
1148C24C22×D412yes—
1149C24C22×D412yes—
1150C24C22×D412yes—
1151C24C22×D412yes—
1152C24C22×D412yes—
1153C24C2×#4112yes—
1154C24C2×#4112yes—
1155C24C2×#4112yes—
1156C24H(5,𝔽2)12yes—
1157C24H(5,𝔽2)12yes—
1158C24H(5,𝔽2)12yes—
1159C242−1+412yes—
1160C24C2511yescharacteristic
1161#41—4128no—
1162C2×Q8—28no—
1163C2×Q8—28no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
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—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
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#120116yes—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—28no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—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—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—4128no—
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—44no—
1481C22×C4—44no—
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×C4—82no—
1493C22×C4—82no—
1494C22×C4—82no—
1495C22×C4—82no—
1496C22×C4—82no—
1497C22×C4—82no—
1498C22×C4—82no—
1499C22×C4—82no—
1500C22×C4—82no—
1501C22×C4—82no—
1502C22×C4#121116yescomplemented
1503C22×C4C22×D412yes—
1504C22×C4C22×D412yes—
1505C22×C4C22×D412yes—
1506C22×C4C22×D412yes—
1507C22×C4C22×D412yes—
1508C22×C4C22×D412yes—
1509C22×C4C22×D412yes—
1510C22×C4C22×D412yes—
1511C22×C4C22×D412yes—
1512C22×C4C22×D412yes—
1513C22×C4C22×D412yes—
1514C22×C4C22×D412yes—
1515C22×C4C22×D412yes—
1516C22×C4C22×D412yes—
1517C22×C4C22×D412yes—
1518C22×C4C22×D412yes—
1519C22×C4C22×D412yes—
1520C22×C4C22×D412yes—
1521C22×C4C2×#4112yes—
1522C22×C4C2×#4112yes—
1523C22×C4C2×#4112yes—
1524C22×C4C2×#4112yes—
1525C22×C4C2×#4112yes—
1526C22×C4C2×#4112yes—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—82no—
1544C4⋊C4—82no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
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—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—82no—
1589C22⋊C4—82no—
1590C22⋊C4—82no—
1591C22⋊C4—82no—
1592C22⋊C4—82no—
1593C22⋊C4—82no—
1594C42—28no—
1595C42—28no—
1596C42—44no—
1597C42—44no—
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—232no—
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—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—416no—
1689C23—416no—
1690C23—416no—
1691C23—416no—
1692C23—416no—
1693C23—416no—
1694C23—416no—
1695C23—416no—
1696C23—416no—
1697C23—416no—
1698C23—416no—
1699C23—416no—
1700C23—416no—
1701C23—41no—
1702C23—41no—
1703C23—416no—
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—
1813C23C2×#12014yes—
1814C23C2×#12014yes—
1815C23C2×#12114yes—
1816C23#53414yes—
1817C23D4214yes—
1818C23D4214yes—
1819C23#54614yes—
1820C23#54614yes—
1821C23#54614yes—
1822C23#54714yes—
1823C23C23×D411yescharacteristic
1824C23C23×D411yescharacteristic
1825C23C23×D411yescharacteristic
1826C23C23×D411yescharacteristic
1827C23C22×#4111yescharacteristic
1828C23C22×#4111yescharacteristic
1829C23C22×#4111yescharacteristic
1830C23C2×H(5,𝔽2)11yescharacteristic
1831C23C2×H(5,𝔽2)11yescharacteristic
1832C23C2×H(5,𝔽2)11yescharacteristic
1833C23C2×2−1+411yescharacteristic
1834C23#58511yescharacteristic
1835C23#58511yescharacteristic
1836C23#58511yescharacteristic
1837C23#58511yescharacteristic
1838Q8—416no—
1839D4—232no—
1840D4—416no—
1841D4—416no—
1842D4—416no—
1843D4—416no—
1844D4—416no—
1845D4—416no—
1846D4—88no—
1847D4—88no—
1848D4—88no—
1849D4—88no—
1850D4—88no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—232no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
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—416no—
1916C2×C4—416no—
1917C2×C4—416no—
1918C2×C4—416no—
1919C2×C4—416no—
1920C2×C4—416no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—416no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—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—88no—
2032C2×C4—88no—
2033C2×C4—88no—
2034C2×C4—88no—
2035C2×C4—88no—
2036C2×C4—88no—
2037C2×C4C2×#12014yes—
2038C2×C4C2×#12114yes—
2039C2×C4C2×#12114yes—
2040C22—24no—
2041C22—24no—
2042C22—24no—
2043C22—24no—
2044C22—24no—
2045C22—24no—
2046C22—24no—
2047C22—24no—
2048C22—24no—
2049C22—24no—
2050C22—24no—
2051C22—24no—
2052C22—24no—
2053C22—24no—
2054C22—24no—
2055C22—24no—
2056C22—24no—
2057C22—24no—
2058C22—24no—
2059C22—24no—
2060C22—24no—
2061C22—24no—
2062C22—24no—
2063C22—464no—
2064C22—42no—
2065C22—42no—
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—81no—
2108C22—81no—
2109C22—81no—
2110C22—81no—
2111C22—81no—
2112C22—81no—
2113C22—81no—
2114C22—81no—
2115C22—81no—
2116C22—81no—
2117C22—81no—
2118C22—81no—
2119C22—81no—
2120C22—81no—
2121C22—81no—
2122C22—81no—
2123C22—81no—
2124C22—81no—
2125C22—81no—
2126C22—81no—
2127C22—81no—
2128C22—81no—
2129C22—81no—
2130C22#241018yes—
2131C22C22×#12011yescharacteristic
2132C22C22×#12111yescharacteristic
2133C22#344411yescharacteristic
2134C22C2×#53411yescharacteristic
2135C22#345511yescharacteristic
2136C22C2×D4211yescharacteristic
2137C22C2×D4211yescharacteristic
2138C22C2×#54611yescharacteristic
2139C22C2×#54611yescharacteristic
2140C22C2×#54611yescharacteristic
2141C22C2×#54711yescharacteristic
2142C22D4×#4111yescharacteristic
2143C22D4×#4111yescharacteristic
2144C22D4×#4111yescharacteristic
2145C22D4×#4111yescharacteristic
2146C22D4×#4111yescharacteristic
2147C22D4×#4111yescharacteristic
2148C22#348511yescharacteristic
2149C22#348511yescharacteristic
2150C22#348811yescharacteristic
2151C22#348811yescharacteristic
2152C22#348811yescharacteristic
2153C22#348911yescharacteristic
2154C22#348911yescharacteristic
2155C22#348911yescharacteristic
2156C22#349011yescharacteristic
2157C22#349211yescharacteristic
2158C22#349211yescharacteristic
2159C22#349311yescharacteristic
2160C22#351311yescharacteristic
2161C22#351311yescharacteristic
2162C22#353311yescharacteristic
2163C22#353311yescharacteristic
2164C22#353411yescharacteristic
2165C22#353511yescharacteristic
2166C4—24no—
2167C4—24no—
2168C4—24no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—81no—
2185C4—81no—
2186C4—81no—
2187C4—81no—
2188C4—81no—
2189C4—81no—
2190C4—81no—
2191C2—28no—
2192C2—44no—
2193C2—44no—
2194C2—44no—
2195C2—82no—
2196C2—161no—
2197C2C2×#241011yescharacteristic
2198C2#3474311yescharacteristic
2199C2#3551811yescharacteristic
2200C2#3613811yescharacteristic
2201C2#3614611yescharacteristic
2202C2#3621211yescharacteristic
2203C2#3621311yescharacteristic
2204C2#3766611yescharacteristic
2205C2#3766711yescharacteristic
2206C2#3836411yescharacteristic
2207C2#3836511yescharacteristic
2208C2#5899211yescharacteristic
2209C2#5899311yescharacteristic
2210C2#5899411yescharacteristic
2211C2#5899511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#525C2semidirect
2. C2×#2849C2semidirect
3. C2×#2430C2semidirect
4. C2×#2425C2semidirect
5. C2×#2424C2semidirect
6. C2×#2339C2semidirect
7. #15280C2semidirect
8. #15279C2semidirect
9. #15278C2semidirect
10. #15277C2semidirect
11. #15276C2semidirect
12. #15275C2semidirect
13. #15274C2semidirect
14. #15273C2semidirect
15. #14926C2semidirect
16. #14912C2semidirect
17. #14733C2semidirect
18. #14732C2semidirect
19. #14731C2semidirect
20. #14730C2semidirect
21. #14718C2semidirect
22. #14716C2semidirect
23. #14187C2semidirect
24. #14185C2semidirect
25. #14135C2semidirect
26. #14128C2semidirect
27. #14023C2semidirect
28. #13975C2semidirect
29. #13968C2semidirect
30. #13967C2semidirect
31. C2×C22⋊#95C2semidirect
64. C2×#398C22semidirect
65. C2×#397C22semidirect
67. C2×#396C22semidirect
68. C2×#395C22semidirect
73. C2×#394C22semidirect
74. C2×#394C22semidirect
75. C2×#393C22semidirect
79. C2×#392C22semidirect
81. C2×#391C22semidirect
82. C2×#391C22semidirect
84. C2×#389C22semidirect
86. C2×#388C22semidirect
100. C2×#386C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
111. C2×#385C22semidirect
112. C2×#385C22semidirect
115. C2×#381C22semidirect
116. C2×#380C22semidirect
117. C2×#380C22semidirect
119. C2×C4×C22⋊C4C22semidirect
124. C22×#95C22semidirect
125. #1444C22semidirect
126. #1444C22semidirect
127. #1444C22semidirect
128. #1444C22semidirect
129. #1442C22semidirect
130. #1442C22semidirect
131. #1442C22semidirect
132. #1442C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
141. #1440C22semidirect
142. #1440C22semidirect
143. #1440C22semidirect
144. #1440C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
193. C22⋊#95C22semidirect
194. C22⋊#95C22semidirect
202. C22×#41D4semidirect
249. C2×#123D4semidirect
279. C2×#120D4semidirect
428. #381D4semidirect
965. C2×C22⋊C4#41semidirect
966. C2×C22⋊C4#41semidirect
1502. C22×C4#121semidirect

Maximal subgroups

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

subgroupindex
C22×#5252
C2×#28492
C2×#24302
C2×#24252
C2×#24242
C2×#23392
#152802
#152792
#152782
#152772
#152762
#152752
#152742
#152732
#149262
#149122
#147332
#147322
#147312
#147302
#147182
#147162
#141872
#141852
#141352
#141282
#140232
#139752
#139682
#139672
C2×C22⋊#952