Finite Group Databasebeta

← #1539586

Subgroups — #1539586

Order 512.

4040 conjugacy classes of subgroups.

The subgroup lattice has 2049 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2717C211yesmaximal, characteristic, complemented
2C2×#2472C211yesmaximal, characteristic, complemented
3C2×#2405C211yesmaximal, characteristic, complemented
4C2×#2613C211yesmaximal, characteristic
5#17115C211yesmaximal, characteristic, complemented
6#17084C211yesmaximal, characteristic, complemented
7#16878C211yesmaximal, characteristic, complemented
8#16675C211yesmaximal, characteristic, complemented
9#16657C211yesmaximal, characteristic, complemented
10#16526C211yesmaximal, characteristic, complemented
11#16512C211yesmaximal, characteristic, complemented
12#16391C211yesmaximal, characteristic, complemented
13#16346C211yesmaximal, characteristic, complemented
14#16251C211yesmaximal, characteristic, complemented
15#16251C211yesmaximal, characteristic, complemented
16#15658C211yesmaximal, characteristic, complemented
17#15611C211yesmaximal, characteristic, complemented
18#15501C211yesmaximal, characteristic, complemented
19#15480C211yesmaximal, characteristic, complemented
20#15376C211yesmaximal, characteristic, complemented
21#15368C211yesmaximal, characteristic, complemented
22#15307C211yesmaximal, characteristic, complemented
23#15282C211yesmaximal, characteristic, complemented
24#15266C211yesmaximal, characteristic, complemented
25#15259C211yesmaximal, characteristic, complemented
26#14798C211yesmaximal, characteristic, complemented
27#14749C211yesmaximal, characteristic, complemented
28#14727C211yesmaximal, characteristic, complemented
29#14724C211yesmaximal, characteristic, complemented
30#14383C211yesmaximal, characteristic, complemented
31#14357C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#124C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41#2717—28no—
42#2613—28no—
43#2472—28no—
44#2405—28no—
45C2×#397C2211yescharacteristic
46C2×#397C2211yescharacteristic
47C2×#397C2211yescharacteristic
48C2×#397C2211yescharacteristic
49C2×#397C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic, complemented
51C2×#395C2211yescharacteristic, complemented
52C2×#395C2211yescharacteristic, complemented
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic, complemented
67C2×#394C2211yescharacteristic, complemented
68C2×#393C2211yescharacteristic, complemented
69C2×#393C2211yescharacteristic, complemented
70C2×#393C2211yescharacteristic, complemented
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#390C2211yescharacteristic, complemented
76C2×#390C2211yescharacteristic, complemented
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic, complemented
79C2×#388C2211yescharacteristic, complemented
80C2×#387C2211yescharacteristic, complemented
81C2×#387C2211yescharacteristic, complemented
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic, complemented
86C2×#386C2211yescharacteristic, complemented
87C2×#386C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic, complemented
89C2×#386C2211yescharacteristic, complemented
90C2×#386C2211yescharacteristic, complemented
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic
94C2×#385C2211yescharacteristic, complemented
95C2×#381C2211yescharacteristic
96C2×#380C2211yescharacteristic, complemented
97C2×#380C2211yescharacteristic, complemented
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×#379C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×#379C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1444C2211yescharacteristic, complemented
113#1443C2211yescharacteristic, complemented
114#1443C2211yescharacteristic, complemented
115#1443C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1442C2211yescharacteristic, complemented
118#1442C2211yescharacteristic, complemented
119#1441C2211yescharacteristic, complemented
120#1441C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1440C2211yescharacteristic, complemented
135#1440C2211yescharacteristic, complemented
136#1440C2211yescharacteristic, complemented
137#1440C2211yescharacteristic, complemented
138#1440C2211yescharacteristic, complemented
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1439C2211yescharacteristic, complemented
164#1439C2211yescharacteristic, complemented
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1438C2211yescharacteristic, complemented
173#1438C2211yescharacteristic, complemented
174#1438C2211yescharacteristic, complemented
175#1438C2211yescharacteristic, complemented
176#1437C2211yescharacteristic
177#1437C2211yescharacteristic, complemented
178#1437C2211yescharacteristic, complemented
179#1437C2211yescharacteristic, complemented
180#1437C2211yescharacteristic, complemented
181#1437C2211yescharacteristic, complemented
182#1437C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186#1434C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C26C2311yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×D4—24no—
195C23×D4—24no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4—42no—
200C23×D4—42no—
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×#124—24no—
215C2×#124—24no—
216C2×#124—42no—
217C2×#123—24no—
218C2×#123—24no—
219C2×#123—24no—
220C2×#123—24no—
221C2×#123—42no—
222C2×#123—42no—
223C2×#123—42no—
224C2×#123—42no—
225C2×#123—42no—
226C2×C22⋊Q8—24no—
227C2×C22⋊Q8—42no—
228C2×C22⋊Q8—42no—
229C2×#120—24no—
230C2×#120—42no—
231C2×#120—42no—
232C2×#120—42no—
233C2×#120—42no—
234C2×#120D418yes—
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C22⋊C4—24no—
252C22×C22⋊C4—24no—
253C22×C22⋊C4—42no—
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C42C2311yescharacteristic
317C22×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319#397—24no—
320#397—24no—
321#397—24no—
322#397—24no—
323#397—24no—
324#397—42no—
325#395—24no—
326#395—24no—
327#394—24no—
328#394—24no—
329#394—24no—
330#394—24no—
331#394—24no—
332#394—24no—
333#394—24no—
334#394—24no—
335#394—24no—
336#394—24no—
337#394—42no—
338#394—42no—
339#394—42no—
340#394—42no—
341#394—42no—
342#393—24no—
343#393—42no—
344#393—42no—
345#392—24no—
346#392—24no—
347#392—24no—
348#392—24no—
349#390—24no—
350#390—42no—
351#388—24no—
352#388—24no—
353#388—42no—
354#387—24no—
355#387—24no—
356#386—24no—
357#386—24no—
358#386—24no—
359#386—24no—
360#386—24no—
361#386—42no—
362#386—42no—
363#386—42no—
364#386—42no—
365#385—24no—
366#385—24no—
367#385—42no—
368#385D418yescomplemented
369#381—24no—
370#380—24no—
371#380—24no—
372#379—24no—
373#379—24no—
374#379—24no—
375#379—24no—
376#379—24no—
377#379—24no—
378#379—42no—
379#379—42no—
380#379—42no—
381C4×C22⋊C4—24no—
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C25—22no—
441C25—22no—
442C25—22no—
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—22no—
448C25—22no—
449C25—41no—
450C25—41no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25—41no—
458C25—41no—
459C25—41no—
460C25—41no—
461C25—41no—
462C25—41no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25C2×D414yes—
470C25C2411yescharacteristic
471C25C2411yescharacteristic
472C25C2411yescharacteristic
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C22×Q8—22no—
477C22×Q8—22no—
478C22×Q8—41no—
479C22×Q8—41no—
480C22×Q8—41no—
481C22×Q8—41no—
482C22×Q8—41no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—416no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—416no—
545C22×D4—416no—
546C22×D4—416no—
547C22×D4—416no—
548C22×D4—416no—
549C22×D4—416no—
550C22×D4C2×D414yes—
551C22×D4C2×D414yes—
552C22×D4C2×D414yes—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—22no—
558C23×C4—22no—
559C23×C4—22no—
560C23×C4—22no—
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4C2×D414yes—
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606#124—416no—
607#123—416no—
608#123—416no—
609#123—416no—
610C22⋊Q8—416no—
611#120—416no—
612#120—416no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—22no—
620C2×C4⋊C4—22no—
621C2×C4⋊C4—22no—
622C2×C4⋊C4—22no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—22no—
626C2×C4⋊C4—22no—
627C2×C4⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C4⋊C4—41no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4—41no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4C2×D414yes—
660C2×C4⋊C4C2×D414yes—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—416no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4C2×D414yes—
844C2×C22⋊C4C2×D414yes—
845C2×C22⋊C4C2×D414yes—
846C2×C22⋊C4C2×D414yes—
847C2×C22⋊C4C2×D414yes—
848C2×C42—22no—
849C2×C42—22no—
850C2×C42—22no—
851C2×C42—41no—
852C2×C42—41no—
853C2×C42—41no—
854C2×C42—41no—
855C2×C42—41no—
856C2×C42—41no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—22no—
863#95—22no—
864#95—22no—
865#95—22no—
866#95—22no—
867#95—22no—
868#95—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—22no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95—41no—
886#95—41no—
887#95—41no—
888#95—41no—
889#95—41no—
890#95—41no—
891#95—41no—
892#95—41no—
893#95—41no—
894#95—41no—
895#95—41no—
896#95—41no—
897#95—41no—
898#95—41no—
899#95—41no—
900#95—41no—
901#95—41no—
902#95—41no—
903#95—41no—
904#95—41no—
905#95—41no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95C2×D414yes—
914#95C2×D414yes—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—28no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—28no—
997C24—28no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—44no—
1012C24—44no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—82no—
1022C24—82no—
1023C24—82no—
1024C24—82no—
1025C24—82no—
1026C24—82no—
1027C24—82no—
1028C24—82no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24—82no—
1042C24—82no—
1043C24—82no—
1044C24—82no—
1045C24—82no—
1046C24—82no—
1047C24—82no—
1048C24—82no—
1049C24—82no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24—82no—
1054C24—82no—
1055C24—82no—
1056C24—82no—
1057C24—82no—
1058C24—82no—
1059C24—82no—
1060C24—82no—
1061C24—82no—
1062C24—82no—
1063C24—82no—
1064C24—82no—
1065C24C22×D412yes—
1066C24C22×D412yes—
1067C24C22×D412yes—
1068C24C22×D412yes—
1069C24C22×D412yes—
1070C24H(5,𝔽2)12yes—
1071C24H(5,𝔽2)12yes—
1072C24H(5,𝔽2)12yes—
1073C24H(5,𝔽2)12yes—
1074C24H(5,𝔽2)12yes—
1075C24C2511yescharacteristic
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—82no—
1079C2×Q8—82no—
1080C2×Q8—82no—
1081C2×Q8—82no—
1082C2×Q8—82no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—4128no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C22×C4—28no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—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—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—82no—
1328C22×C4—82no—
1329C22×C4—82no—
1330C22×C4—82no—
1331C22×C4—82no—
1332C22×C4—82no—
1333C22×C4—82no—
1334C22×C4—82no—
1335C22×C4—82no—
1336C22×C4—82no—
1337C22×C4—82no—
1338C22×C4—82no—
1339C22×C4—82no—
1340C22×C4C22×D412yes—
1341C22×C4C22×D412yes—
1342C22×C4C22×D412yes—
1343C22×C4C22×D412yes—
1344C22×C4C22×D412yes—
1345C22×C4C22×D412yes—
1346C22×C4C22×D412yes—
1347C22×C4C22×D412yes—
1348C22×C4C22×D412yes—
1349C22×C4H(5,𝔽2)12yes—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—82no—
1362C4⋊C4—82no—
1363C4⋊C4—82no—
1364C4⋊C4—82no—
1365C4⋊C4—82no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—82no—
1397C22⋊C4—82no—
1398C22⋊C4—82no—
1399C22⋊C4—82no—
1400C22⋊C4—82no—
1401C22⋊C4—82no—
1402C22⋊C4—82no—
1403C22⋊C4—82no—
1404C22⋊C4—82no—
1405C22⋊C4—82no—
1406C22⋊C4—82no—
1407C22⋊C4—82no—
1408C22⋊C4—82no—
1409C22⋊C4—82no—
1410C22⋊C4—82no—
1411C22⋊C4—82no—
1412C22⋊C4—82no—
1413C22⋊C4—82no—
1414C22⋊C4—82no—
1415C22⋊C4—82no—
1416C22⋊C4—82no—
1417C22⋊C4—82no—
1418C22⋊C4—82no—
1419C22⋊C4—82no—
1420C22⋊C4—82no—
1421C22⋊C4—82no—
1422C22⋊C4—82no—
1423C22⋊C4—82no—
1424C22⋊C4—82no—
1425C22⋊C4—82no—
1426C22⋊C4—82no—
1427C22⋊C4—82no—
1428C42—44no—
1429C42—82no—
1430C42—82no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—416no—
1496C23—416no—
1497C23—416no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—88no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—88no—
1666C23—88no—
1667C23—88no—
1668C23—88no—
1669C23#53414yes—
1670C23D4214yes—
1671C23C23×D411yescharacteristic
1672C23C23×D411yescharacteristic
1673C23C2×H(5,𝔽2)11yescharacteristic
1674C23C2×H(5,𝔽2)11yescharacteristic
1675C23C2×H(5,𝔽2)11yescharacteristic
1676C23C2×H(5,𝔽2)11yescharacteristic
1677C23C2×H(5,𝔽2)11yescharacteristic
1678C23C2×H(5,𝔽2)11yescharacteristic
1679C23#58511yescharacteristic
1680C23#58511yescharacteristic
1681C23#58511yescharacteristic
1682C23#58511yescharacteristic
1683C23#58511yescharacteristic
1684C23#58511yescharacteristic
1685C23#58511yescharacteristic
1686Q8—88no—
1687D4—416no—
1688D4—416no—
1689D4—416no—
1690D4—416no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—416no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—88no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C22—24no—
1876C22—24no—
1877C22—24no—
1878C22—24no—
1879C22—24no—
1880C22—24no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—832no—
1934C22—832no—
1935C22—81no—
1936C22—81no—
1937C22—81no—
1938C22—81no—
1939C22—81no—
1940C22—81no—
1941C22—81no—
1942C22—81no—
1943C22—81no—
1944C22—81no—
1945C22—81no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22C2×#53411yescharacteristic
1968C22#344911yescharacteristic
1969C22C2×D4211yescharacteristic
1970C22#348411yescharacteristic
1971C22#348411yescharacteristic
1972C22#348411yescharacteristic
1973C22#348511yescharacteristic
1974C22#348511yescharacteristic
1975C22#348511yescharacteristic
1976C22#348711yescharacteristic
1977C22#348811yescharacteristic
1978C22#349611yescharacteristic
1979C22#350011yescharacteristic
1980C22#353211yescharacteristic
1981C22#353211yescharacteristic
1982C22#353311yescharacteristic
1983C22#353311yescharacteristic
1984C22#353311yescharacteristic
1985C22#353311yescharacteristic
1986C22#353411yescharacteristic
1987C22#353411yescharacteristic
1988C22#354211yescharacteristic
1989C22#354211yescharacteristic
1990C22#354511yescharacteristic
1991C22#354511yescharacteristic
1992C22#354511yescharacteristic
1993C22#354511yescharacteristic
1994C22#354511yescharacteristic
1995C22#354511yescharacteristic
1996C22#355811yescharacteristic
1997C22#356011yescharacteristic
1998C22#356011yescharacteristic
1999C22#356011yescharacteristic
2000C22#356011yescharacteristic
2001C22#356011yescharacteristic
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—81no—
2013C4—81no—
2014C4—81no—
2015C4—81no—
2016C4—81no—
2017C4—81no—
2018C4—81no—
2019C4—81no—
2020C4—81no—
2021C4—81no—
2022C4—81no—
2023C4—81no—
2024C4—81no—
2025C4—81no—
2026C4—81no—
2027C2—44no—
2028C2—44no—
2029C2—82no—
2030C2—82no—
2031C2—82no—
2032C2—82no—
2033C2#3711911yescharacteristic
2034C2#3764411yescharacteristic
2035C2#3765511yescharacteristic
2036C2#4051011yescharacteristic
2037C2#4198911yescharacteristic
2038C2#4238711yescharacteristic
2039C2#4390411yescharacteristic
2040C2#4641311yescharacteristic
2041C2#4794811yescharacteristic
2042C2#4877311yescharacteristic
2043C2#4955611yescharacteristic
2044C2#5483711yescharacteristic
2045C2#5525711yescharacteristic
2046C2#5525711yescharacteristic
2047C2#5808211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2613C2
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×#2717C2semidirect
2. C2×#2472C2semidirect
3. C2×#2405C2semidirect
5. #17115C2semidirect
6. #17084C2semidirect
7. #16878C2semidirect
8. #16675C2semidirect
9. #16657C2semidirect
10. #16526C2semidirect
11. #16512C2semidirect
12. #16391C2semidirect
13. #16346C2semidirect
14. #16251C2semidirect
15. #16251C2semidirect
16. #15658C2semidirect
17. #15611C2semidirect
18. #15501C2semidirect
19. #15480C2semidirect
20. #15376C2semidirect
21. #15368C2semidirect
22. #15307C2semidirect
23. #15282C2semidirect
24. #15266C2semidirect
25. #15259C2semidirect
26. #14798C2semidirect
27. #14749C2semidirect
28. #14727C2semidirect
29. #14724C2semidirect
30. #14383C2semidirect
31. #14357C2semidirect
37. C22×C22⋊Q8C22semidirect
49. C2×#397C22semidirect
50. C2×#397C22semidirect
51. C2×#395C22semidirect
52. C2×#395C22semidirect
66. C2×#394C22semidirect
67. C2×#394C22semidirect
68. C2×#393C22semidirect
69. C2×#393C22semidirect
70. C2×#393C22semidirect
75. C2×#390C22semidirect
76. C2×#390C22semidirect
78. C2×#388C22semidirect
79. C2×#388C22semidirect
80. C2×#387C22semidirect
81. C2×#387C22semidirect
85. C2×#386C22semidirect
86. C2×#386C22semidirect
87. C2×#386C22semidirect
88. C2×#386C22semidirect
89. C2×#386C22semidirect
90. C2×#386C22semidirect
94. C2×#385C22semidirect
96. C2×#380C22semidirect
97. C2×#380C22semidirect
107. C2×C4×C22⋊C4C22semidirect
108. #1445C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1444C22semidirect
112. #1444C22semidirect
113. #1443C22semidirect
114. #1443C22semidirect
115. #1443C22semidirect
116. #1442C22semidirect
117. #1442C22semidirect
118. #1442C22semidirect
119. #1441C22semidirect
120. #1441C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
134. #1440C22semidirect
135. #1440C22semidirect
136. #1440C22semidirect
137. #1440C22semidirect
138. #1440C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
163. #1439C22semidirect
164. #1439C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1438C22semidirect
173. #1438C22semidirect
174. #1438C22semidirect
175. #1438C22semidirect
177. #1437C22semidirect
178. #1437C22semidirect
179. #1437C22semidirect
180. #1437C22semidirect
181. #1437C22semidirect
182. #1437C22semidirect
183. #1436C22semidirect
184. C4⋊#95C22semidirect
185. #1434C22semidirect
186. #1434C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
368. #385D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27172
C2×#24722
C2×#24052
C2×#26132
#171152
#170842
#168782
#166752
#166572
#165262
#165122
#163912
#163462
#162512
#156582
#156112
#155012
#154802
#153762
#153682
#153072
#152822
#152662
#152592
#147982
#147492
#147272
#147242
#143832
#143572