Finite Group Databasebeta

← #873767

Subgroups — #873767

Order 512.

3677 conjugacy classes of subgroups.

The subgroup lattice has 1843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2857C211yesmaximal, characteristic, complemented
2C2×#2472C211yesmaximal, characteristic
3C2×#2412C211yesmaximal, characteristic
4C2×#2437C211yesmaximal, characteristic, complemented
5#16549C211yesmaximal, characteristic, complemented
6#16528C211yesmaximal, characteristic, complemented
7#16422C211yesmaximal, characteristic, complemented
8#16312C211yesmaximal, characteristic, complemented
9#15761C211yesmaximal, characteristic, complemented
10#15700C211yesmaximal, characteristic, complemented
11#15648C211yesmaximal, characteristic, complemented
12#15384C211yesmaximal, characteristic, complemented
13#15371C211yesmaximal, characteristic, complemented
14#15321C211yesmaximal, characteristic, complemented
15#15275C211yesmaximal, characteristic, complemented
16#15265C211yesmaximal, characteristic, complemented
17#14921C211yesmaximal, characteristic, complemented
18#14836C211yesmaximal, characteristic, complemented
19#14820C211yesmaximal, characteristic, complemented
20#14759C211yesmaximal, characteristic, complemented
21#14758C211yesmaximal, characteristic, complemented
22#14725C211yesmaximal, characteristic
23#14696C211yesmaximal, characteristic, complemented
24#14526C211yesmaximal, characteristic, complemented
25#14518C211yesmaximal, characteristic, complemented
26#14382C211yesmaximal, characteristic, complemented
27#14360C211yesmaximal, characteristic, complemented
28#14047C211yesmaximal, characteristic, complemented
29#13908C211yesmaximal, characteristic, complemented
30#13877C211yesmaximal, characteristic, complemented
31C2×#1437C211yesmaximal, characteristic, complemented
32C22×C4⋊Q8C2211yescharacteristic, complemented
33C22×#124C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C42C2211yescharacteristic
44#2857—28no—
45#2472—28no—
46#2437—28no—
47#2412—28no—
48C2×#399C2211yescharacteristic
49C2×#399C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic
52C2×#397C2211yescharacteristic
53C2×#397C2211yescharacteristic
54C2×#397C2211yescharacteristic
55C2×#396C2211yescharacteristic
56C2×#396C2211yescharacteristic
57C2×#395C2211yescharacteristic, complemented
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#393C2211yescharacteristic
65C2×#393C2211yescharacteristic
66C2×#393C2211yescharacteristic, complemented
67C2×#391C2211yescharacteristic, complemented
68C2×#391C2211yescharacteristic, complemented
69C2×#390C2211yescharacteristic
70C2×#389C2211yescharacteristic, complemented
71C2×#389C2211yescharacteristic, complemented
72C2×#389C2211yescharacteristic, complemented
73C2×#389C2211yescharacteristic, complemented
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic, complemented
77C2×#388C2211yescharacteristic, complemented
78C2×#387C2211yescharacteristic, complemented
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#384C2211yescharacteristic, complemented
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic
98C2×#380C2211yescharacteristic
99C2×#380C2211yescharacteristic
100C2×#380C2211yescharacteristic
101C2×#380C2211yescharacteristic
102C2×#380C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×C4×C22⋊C4C2211yescharacteristic
106C22×#95C2211yescharacteristic
107C22×#95C2211yescharacteristic
108C22×#95C2211yescharacteristic
109#1446C2211yescharacteristic, complemented
110#1446C2211yescharacteristic, complemented
111#1445C2211yescharacteristic, complemented
112#1445C2211yescharacteristic, complemented
113#1445C2211yescharacteristic, complemented
114#1445C2211yescharacteristic, complemented
115#1444C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1444C2211yescharacteristic, complemented
120#1444C2211yescharacteristic, complemented
121#1443C2211yescharacteristic, complemented
122#1443C2211yescharacteristic, complemented
123#1443C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1442C2211yescharacteristic, complemented
127#1442C2211yescharacteristic, complemented
128#1442C2211yescharacteristic, complemented
129#1442C2211yescharacteristic, complemented
130#1441C2211yescharacteristic, complemented
131#1441C2211yescharacteristic, complemented
132#1441C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic
138#1440C2211yescharacteristic
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
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#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1437C2211yescharacteristic
163#1437C2211yescharacteristic
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C26C2311yescharacteristic
192C23×Q8C2311yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C2×C4⋊Q8—24no—
206C2×C4⋊Q8—42no—
207C2×C4⋊Q8—42no—
208C2×#124—24no—
209C2×#124—42no—
210C2×#124—42no—
211C2×#123—24no—
212C2×#123—24no—
213C2×#123—42no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—24no—
219C2×C22⋊Q8—42no—
220C2×C22⋊Q8—42no—
221C2×C22⋊Q8—42no—
222C2×C22⋊Q8—42no—
223C2×#120—24no—
224C2×#120—24no—
225C2×#120—42no—
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
251C22×C22⋊C4—24no—
252C22×C22⋊C4—24no—
253C22×C22⋊C4—24no—
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—42no—
257C22×C22⋊C4—42no—
258C22×C22⋊C4—42no—
259C22×C22⋊C4—42no—
260C22×C22⋊C4—42no—
261C22×C22⋊C4D418yes—
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×C42—24no—
306C22×C42—42no—
307C22×C42—42no—
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314#399—24no—
315#399—42no—
316#397—24no—
317#397—24no—
318#397—24no—
319#397—24no—
320#397—42no—
321#396—24no—
322#396—24no—
323#395—42no—
324#394—24no—
325#394—24no—
326#394—24no—
327#394—24no—
328#394—24no—
329#394—42no—
330#393—24no—
331#393—24no—
332#393—42no—
333#391—24no—
334#391—24no—
335#390—24no—
336#389—24no—
337#389—24no—
338#389—24no—
339#389—24no—
340#388—24no—
341#388—24no—
342#388—42no—
343#388—42no—
344#387—42no—
345#386—24no—
346#386—24no—
347#386—24no—
348#386—24no—
349#386—24no—
350#386—24no—
351#386—42no—
352#385—24no—
353#385—24no—
354#385—24no—
355#385—24no—
356#385—24no—
357#385—24no—
358#385—42no—
359#384—24no—
360#381—24no—
361#380—24no—
362#380—24no—
363#380—24no—
364#380—24no—
365#380—24no—
366#380—24no—
367#380—42no—
368#380D418yes—
369#379—24no—
370#379—24no—
371C4×C22⋊C4—24no—
372C2×#95—24no—
373C2×#95—42no—
374C2×#95—42no—
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
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
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—22no—
448C25—22no—
449C25—22no—
450C25—22no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25C2×D414yes—
458C25C2411yescharacteristic
459C25C2411yescharacteristic
460C25C2411yescharacteristic
461C25C2411yescharacteristic
462C22×Q8—22no—
463C22×Q8—22no—
464C22×Q8—22no—
465C22×Q8—22no—
466C22×Q8—22no—
467C22×Q8—22no—
468C22×Q8—22no—
469C22×Q8—22no—
470C22×Q8—41no—
471C22×Q8—41no—
472C22×Q8—41no—
473C22×Q8—41no—
474C22×Q8—41no—
475C22×Q8—41no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—41no—
494C22×D4—41no—
495C22×D4—41no—
496C22×D4—41no—
497C23×C4—22no—
498C23×C4—22no—
499C23×C4—22no—
500C23×C4—22no—
501C23×C4—22no—
502C23×C4—22no—
503C23×C4—22no—
504C23×C4—22no—
505C23×C4—22no—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—22no—
522C23×C4—22no—
523C23×C4—22no—
524C23×C4—22no—
525C23×C4—41no—
526C23×C4—41no—
527C23×C4—41no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—41no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4C2×D414yes—
550C23×C4C2×D414yes—
551C23×C4C2×D414yes—
552C23×C4#4114yes—
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C4⋊Q8—416no—
581#124—416no—
582#123—416no—
583C22⋊Q8—416no—
584C22⋊Q8—416no—
585C22⋊Q8—416no—
586#120—416no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—22no—
589C2×C4⋊C4—22no—
590C2×C4⋊C4—22no—
591C2×C4⋊C4—22no—
592C2×C4⋊C4—22no—
593C2×C4⋊C4—22no—
594C2×C4⋊C4—22no—
595C2×C4⋊C4—22no—
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
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—41no—
626C2×C4⋊C4—41no—
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⋊C4C2×D414yes—
658C2×C4⋊C4C2×D414yes—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
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—416no—
739C2×C22⋊C4—416no—
740C2×C22⋊C4—416no—
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⋊C4C2×D414yes—
785C2×C22⋊C4C2×D414yes—
786C2×C22⋊C4C2×D414yes—
787C2×C22⋊C4C2×D414yes—
788C2×C22⋊C4C2×D414yes—
789C2×C22⋊C4C2×D414yes—
790C2×C22⋊C4#4114yes—
791C2×C22⋊C4#4114yes—
792C2×C42—22no—
793C2×C42—22no—
794C2×C42—22no—
795C2×C42—22no—
796C2×C42—22no—
797C2×C42—22no—
798C2×C42—22no—
799C2×C42—22no—
800C2×C42—22no—
801C2×C42—22no—
802C2×C42—416no—
803C2×C42—41no—
804C2×C42—41no—
805C2×C42—41no—
806C2×C42—41no—
807C2×C42—41no—
808C2×C42—41no—
809C2×C42—41no—
810C2×C42—41no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—22no—
834#95—22no—
835#95—22no—
836#95—22no—
837#95—22no—
838#95—22no—
839#95—22no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—41no—
854#95—41no—
855#95—41no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95C2×D414yes—
878#95C2×D414yes—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—28no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—28no—
915C24—28no—
916C24—28no—
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—44no—
933C24—44no—
934C24—44no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—44no—
941C24—44no—
942C24—44no—
943C24—44no—
944C24—44no—
945C24—44no—
946C24—44no—
947C24—44no—
948C24—44no—
949C24—44no—
950C24—44no—
951C24—82no—
952C24—82no—
953C24—82no—
954C24—82no—
955C24—82no—
956C24—82no—
957C24—82no—
958C24—82no—
959C24—82no—
960C24—82no—
961C24—82no—
962C24—82no—
963C24C22×D412yes—
964C24C22×D412yes—
965C24C22×D412yes—
966C24C22×D412yes—
967C24C2×#4112yes—
968C24C2×#4112yes—
969C24C2×#4112yes—
970C24H(5,𝔽2)12yes—
971C242−1+412yes—
972C242−1+412yes—
973C242−1+412yes—
974C24C2511yescharacteristic
975C2×Q8—44no—
976C2×Q8—44no—
977C2×Q8—44no—
978C2×Q8—44no—
979C2×Q8—44no—
980C2×Q8—44no—
981C2×Q8—44no—
982C2×Q8—44no—
983C2×Q8—82no—
984C2×Q8—82no—
985C2×Q8—82no—
986C2×Q8—82no—
987C2×Q8—82no—
988C2×Q8—82no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—82no—
1003C2×D4—82no—
1004C2×D4—82no—
1005C2×D4—82no—
1006C2×D4—82no—
1007C2×D4—82no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—28no—
1023C22×C4—28no—
1024C22×C4—28no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—28no—
1092C22×C4—28no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
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—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—82no—
1218C22×C4—82no—
1219C22×C4—82no—
1220C22×C4—82no—
1221C22×C4—82no—
1222C22×C4—82no—
1223C22×C4—82no—
1224C22×C4—82no—
1225C22×C4—82no—
1226C22×C4—82no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—82no—
1234C22×C4—82no—
1235C22×C4C22×D412yes—
1236C22×C4C22×D412yes—
1237C22×C4C22×D412yes—
1238C22×C4C22×D412yes—
1239C22×C4C22×D412yes—
1240C22×C4C22×D412yes—
1241C22×C4C22×D412yes—
1242C22×C4C22×D412yes—
1243C22×C4C22×D412yes—
1244C22×C4C22×D412yes—
1245C22×C4C2×#4112yes—
1246C22×C4C2×#4112yes—
1247C22×C4C2×#4112yes—
1248C22×C4C2×#4112yes—
1249C22×C4C2×#4112yes—
1250C22×C4C2×#4112yes—
1251C22×C4H(5,𝔽2)12yes—
1252C22×C4H(5,𝔽2)12yes—
1253C22×C4H(5,𝔽2)12yes—
1254C22×C4H(5,𝔽2)12yes—
1255C4⋊C4—28no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—82no—
1274C4⋊C4—82no—
1275C4⋊C4—82no—
1276C4⋊C4—82no—
1277C4⋊C4—82no—
1278C4⋊C4—82no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—82no—
1313C22⋊C4—82no—
1314C22⋊C4—82no—
1315C22⋊C4—82no—
1316C22⋊C4—82no—
1317C22⋊C4—82no—
1318C22⋊C4—82no—
1319C22⋊C4—82no—
1320C22⋊C4—82no—
1321C22⋊C4—82no—
1322C42—28no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C42—82no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—416no—
1382C23—416no—
1383C23—416no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—416no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—88no—
1465C23—88no—
1466C23—88no—
1467C23—88no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—88no—
1472C23—88no—
1473C23—88no—
1474C23—88no—
1475C23#53214yes—
1476C23#53614yes—
1477C23#53614yes—
1478C23#54214yes—
1479C23D4214yes—
1480C23#54714yes—
1481C23#54814yes—
1482C23#56314yes—
1483C23C23×D411yescharacteristic
1484C23C23×D411yescharacteristic
1485C23C22×#4111yescharacteristic
1486C23C22×#4111yescharacteristic
1487C23C22×#4111yescharacteristic
1488C23C2×H(5,𝔽2)11yescharacteristic
1489C23C2×H(5,𝔽2)11yescharacteristic
1490C23C2×H(5,𝔽2)11yescharacteristic
1491C23C2×H(5,𝔽2)11yescharacteristic
1492C23C2×H(5,𝔽2)11yescharacteristic
1493C23C2×2−1+411yescharacteristic
1494C23C2×2−1+411yescharacteristic
1495C23C2×2−1+411yescharacteristic
1496C23#58511yescharacteristic
1497C23#58511yescharacteristic
1498Q8—88no—
1499Q8—88no—
1500D4—88no—
1501D4—88no—
1502D4—88no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—416no—
1555C2×C4—416no—
1556C2×C4—416no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4#53414yes—
1698C2×C4#54614yes—
1699C2×C4#55114yes—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—24no—
1709C22—24no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—24no—
1714C22—24no—
1715C22—24no—
1716C22—24no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—832no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22#267418yes—
1761C22C2×#53211yescharacteristic
1762C22C2×#53411yescharacteristic
1763C22C2×#53611yescharacteristic
1764C22C2×#53611yescharacteristic
1765C22C2×#54211yescharacteristic
1766C22C2×D4211yescharacteristic
1767C22C2×#54611yescharacteristic
1768C22C2×#54711yescharacteristic
1769C22C2×#54811yescharacteristic
1770C22D4×#4111yescharacteristic
1771C22C2×#55111yescharacteristic
1772C22#347511yescharacteristic
1773C22#348411yescharacteristic
1774C22#348811yescharacteristic
1775C22#349411yescharacteristic
1776C22#349511yescharacteristic
1777C22#349611yescharacteristic
1778C22#349611yescharacteristic
1779C22#350511yescharacteristic
1780C22#350811yescharacteristic
1781C22#351911yescharacteristic
1782C22#352011yescharacteristic
1783C22#352011yescharacteristic
1784C22#352011yescharacteristic
1785C22#352011yescharacteristic
1786C22#352011yescharacteristic
1787C22C2×#56311yescharacteristic
1788C22#353411yescharacteristic
1789C22#353511yescharacteristic
1790C22#353611yescharacteristic
1791C22#353611yescharacteristic
1792C22#353711yescharacteristic
1793C22#356111yescharacteristic
1794C22#356111yescharacteristic
1795C22#356411yescharacteristic
1796C4—24no—
1797C4—24no—
1798C4—24no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—81no—
1811C4—81no—
1812C4—81no—
1813C4—81no—
1814C4—81no—
1815C4—81no—
1816C4—81no—
1817C4—81no—
1818C4—81no—
1819C4—81no—
1820C4—81no—
1821C4—81no—
1822C4—81no—
1823C2—28no—
1824C2—44no—
1825C2—82no—
1826C2—161no—
1827C2#3508511yescharacteristic
1828C2#3612311yescharacteristic
1829C2#3618311yescharacteristic
1830C2#3674011yescharacteristic
1831C2#3767211yescharacteristic
1832C2#3802111yescharacteristic
1833C2#3811011yescharacteristic
1834C2#3837011yescharacteristic
1835C2#3846311yescharacteristic
1836C2#3948611yescharacteristic
1837C2#4608511yescharacteristic
1838C2#4612411yescharacteristic
1839C2C2×#267411yescharacteristic
1840C2#5909411yescharacteristic
1841C2#5913311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
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×#2857C2semidirect
4. C2×#2437C2semidirect
5. #16549C2semidirect
6. #16528C2semidirect
7. #16422C2semidirect
8. #16312C2semidirect
9. #15761C2semidirect
10. #15700C2semidirect
11. #15648C2semidirect
12. #15384C2semidirect
13. #15371C2semidirect
14. #15321C2semidirect
15. #15275C2semidirect
16. #15265C2semidirect
17. #14921C2semidirect
18. #14836C2semidirect
19. #14820C2semidirect
20. #14759C2semidirect
21. #14758C2semidirect
23. #14696C2semidirect
24. #14526C2semidirect
25. #14518C2semidirect
26. #14382C2semidirect
27. #14360C2semidirect
28. #14047C2semidirect
29. #13908C2semidirect
30. #13877C2semidirect
31. C2×#1437C2semidirect
32. C22×C4⋊Q8C22semidirect
49. C2×#399C22semidirect
57. C2×#395C22semidirect
66. C2×#393C22semidirect
67. C2×#391C22semidirect
68. C2×#391C22semidirect
70. C2×#389C22semidirect
71. C2×#389C22semidirect
72. C2×#389C22semidirect
73. C2×#389C22semidirect
76. C2×#388C22semidirect
77. C2×#388C22semidirect
78. C2×#387C22semidirect
93. C2×#384C22semidirect
109. #1446C22semidirect
110. #1446C22semidirect
111. #1445C22semidirect
112. #1445C22semidirect
113. #1445C22semidirect
114. #1445C22semidirect
115. #1444C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1444C22semidirect
120. #1444C22semidirect
121. #1443C22semidirect
122. #1443C22semidirect
123. #1443C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1442C22semidirect
127. #1442C22semidirect
128. #1442C22semidirect
129. #1442C22semidirect
130. #1441C22semidirect
131. #1441C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28572
C2×#24722
C2×#24122
C2×#24372
#165492
#165282
#164222
#163122
#157612
#157002
#156482
#153842
#153712
#153212
#152752
#152652
#149212
#148362
#148202
#147592
#147582
#147252
#146962
#145262
#145182
#143822
#143602
#140472
#139082
#138772
C2×#14372