Finite Group Databasebeta

← #655557

Subgroups — #655557

Order 512.

3902 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#533C211yesmaximal, characteristic, complemented
2C2×#2475C211yesmaximal, characteristic, complemented
3C2×#2477C211yesmaximal, characteristic
4C2×#2362C211yesmaximal, characteristic, complemented
5#16093C211yesmaximal, characteristic, complemented
6#15951C211yesmaximal, characteristic
7#15783C211yesmaximal, characteristic, complemented
8#15613C211yesmaximal, characteristic
9#15465C211yesmaximal, characteristic, complemented
10#15354C211yesmaximal, characteristic, complemented
11#15322C211yesmaximal, characteristic, complemented
12#15265C211yesmaximal, characteristic, complemented
13#15071C211yesmaximal, characteristic, complemented
14#15001C211yesmaximal, characteristic, complemented
15#14933C211yesmaximal, characteristic, complemented
16#14907C211yesmaximal, characteristic, complemented
17#14890C211yesmaximal, characteristic
18#14884C211yesmaximal, characteristic, complemented
19#14882C211yesmaximal, characteristic, complemented
20#14765C211yesmaximal, characteristic
21#14696C211yesmaximal, characteristic
22#14188C211yesmaximal, characteristic, complemented
23#14174C211yesmaximal, characteristic, complemented
24#14172C211yesmaximal, characteristic, complemented
25#14099C211yesmaximal, characteristic, complemented
26#14097C211yesmaximal, characteristic, complemented
27#14064C211yesmaximal, characteristic
28#14063C211yesmaximal, characteristic, complemented
29#14017C211yesmaximal, characteristic, complemented
30#13927C211yesmaximal, characteristic, complemented
31C4×#385C211yesmaximal, characteristic, complemented
32C2×#533—28no—
33C2×#533—28no—
34C2×#533—28no—
35C22×C4⋊Q8C2211yescharacteristic
36C22×C4⋊Q8C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C22×#125C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×#117C2211yescharacteristic
49C22×#117C2211yescharacteristic
50C22×#117C2211yescharacteristic
51C23×C42C2211yescharacteristic
52#2477—28no—
53#2475—28no—
54C2×#400C2211yescharacteristic
55C2×#400C2211yescharacteristic
56C2×#398C2211yescharacteristic
57C2×#397C2211yescharacteristic
58C2×#397C2211yescharacteristic
59C2×#396C2211yescharacteristic
60C2×#395C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#393C2211yescharacteristic
63C2×#393C2211yescharacteristic
64C2×#393C2211yescharacteristic
65#2362—28no—
66C2×#391C2211yescharacteristic
67C2×#391C2211yescharacteristic
68C2×#391C2211yescharacteristic
69C2×#389C2211yescharacteristic
70C2×#389C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#387C2211yescharacteristic
80C2×#387C2211yescharacteristic
81C2×#387C2211yescharacteristic
82C2×#387C2211yescharacteristic
83C2×#387C2211yescharacteristic
84C2×#387C2211yescharacteristic
85C2×#387C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic
94C2×#385C2211yescharacteristic
95C2×#385C2211yescharacteristic
96C2×C4×C4⋊C4C2211yescharacteristic
97C2×C4×C4⋊C4C2211yescharacteristic
98C2×C4×C4⋊C4C2211yescharacteristic
99C2×C4×C4⋊C4C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic
103#1446C2211yescharacteristic
104#1446C2211yescharacteristic
105#1446C2211yescharacteristic
106#1446C2211yescharacteristic
107#1446C2211yescharacteristic
108#1446C2211yescharacteristic
109#1446C2211yescharacteristic
110#1446C2211yescharacteristic
111#1445C2211yescharacteristic
112#1444C2211yescharacteristic
113#1444C2211yescharacteristic
114#1444C2211yescharacteristic
115#1444C2211yescharacteristic
116#1442C2211yescharacteristic
117#1442C2211yescharacteristic
118#1442C2211yescharacteristic
119#1442C2211yescharacteristic
120#1442C2211yescharacteristic
121#1442C2211yescharacteristic
122#1442C2211yescharacteristic
123#1442C2211yescharacteristic
124#1442C2211yescharacteristic
125#1441C2211yescharacteristic
126#1441C2211yescharacteristic
127#1441C2211yescharacteristic
128#1441C2211yescharacteristic
129#1441C2211yescharacteristic
130#1441C2211yescharacteristic
131#1441C2211yescharacteristic
132#1441C2211yescharacteristic
133#1441C2211yescharacteristic
134#1441C2211yescharacteristic
135#1441C2211yescharacteristic
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic
138#1440C2211yescharacteristic
139#1440C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic
155#1437C2211yescharacteristic
156#1437C2211yescharacteristic
157#1437C2211yescharacteristic
158#1436C2211yescharacteristic
159#1436C2211yescharacteristic
160#1436C2211yescharacteristic
161#1436C2211yescharacteristic
162#1436C2211yescharacteristic
163#1436C2211yescharacteristic
164#1436C2211yescharacteristic
165#1436C2211yescharacteristic
166#1436C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169#1436C2211yescharacteristic
170#1436C2211yescharacteristic
171#1436C2211yescharacteristic
172#1436C2211yescharacteristic
173#1436C2211yescharacteristic
174#1436C2211yescharacteristic
175#1436C2211yescharacteristic
176#1436C2211yescharacteristic
177#1436C2211yescharacteristic
178#1436C2211yescharacteristic
179#1436C2211yescharacteristic
180C4⋊#95C2211yescharacteristic
181C4⋊#95C2211yescharacteristic
182#1434C2211yescharacteristic
183#1434C2211yescharacteristic
184#1434C2211yescharacteristic
185#1434C2211yescharacteristic
186#1434C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C4×#95C2211yescharacteristic
192C4×#95C2211yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×Q8C2311yescharacteristic
196C23×Q8C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202#533—2128no—
203C2×C4⋊Q8—24no—
204C2×C4⋊Q8—24no—
205C2×C4⋊Q8—24no—
206C2×C4⋊Q8—24no—
207C2×C4⋊Q8—24no—
208C2×C4⋊Q8—24no—
209C2×#125—24no—
210C2×#125—24no—
211C2×#125—24no—
212C2×#125—24no—
213C2×#125—24no—
214C2×#125D418yescomplemented
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—24no—
219C2×C22⋊Q8—24no—
220C2×C22⋊Q8—24no—
221C2×C22⋊Q8—24no—
222C2×C22⋊Q8—24no—
223C2×C22⋊Q8—24no—
224C2×C22⋊Q8—24no—
225C2×C22⋊Q8—24no—
226C2×C22⋊Q8—24no—
227C2×C22⋊Q8—24no—
228C2×C22⋊Q8—24no—
229C2×C22⋊Q8D418yes—
230C2×C4×Q8—24no—
231C2×C4×Q8—24no—
232C2×C4×Q8—24no—
233C2×C4×Q8—24no—
234C2×C4×Q8—24no—
235C2×C4×Q8—24no—
236C2×C4×Q8—24no—
237C2×C4×Q8—24no—
238C2×C4×Q8—24no—
239C2×C4×Q8—24no—
240C2×C4×Q8—24no—
241C2×C4×Q8D418yescomplemented
242C2×#117—24no—
243C2×#117—24no—
244C2×#117—24no—
245C2×#117—24no—
246C2×#117—24no—
247C2×#117—24no—
248C2×#117—24no—
249C2×#117—24no—
250C2×#117—24no—
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊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×C42—24no—
305C22×C42—24no—
306C22×C42—24no—
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317C22×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322#400—24no—
323#400—24no—
324#398—24no—
325#397—24no—
326#397—24no—
327#396—24no—
328#395—24no—
329#394—24no—
330#393—24no—
331#393—24no—
332#393—24no—
333#391—24no—
334#391—24no—
335#391—24no—
336#389—24no—
337#389—24no—
338#388—24no—
339#388—24no—
340#388—24no—
341#388—24no—
342#388—24no—
343#388—24no—
344#388—24no—
345#388—24no—
346#387—24no—
347#387—24no—
348#387—24no—
349#387—24no—
350#387—24no—
351#387—24no—
352#387—24no—
353#386—24no—
354#386—24no—
355#386—24no—
356#386—24no—
357#385—24no—
358#385—24no—
359#385—24no—
360#385—24no—
361#385—24no—
362#385—24no—
363C4×C4⋊C4—24no—
364C4×C4⋊C4—24no—
365C4×C4⋊C4—24no—
366C4×C4⋊C4—24no—
367C4×C22⋊C4—24no—
368C4×C22⋊C4—24no—
369C4×C22⋊C4—24no—
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
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
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C25C2411yescharacteristic
449C25C2411yescharacteristic
450C22×Q8—22no—
451C22×Q8—22no—
452C22×Q8—22no—
453C22×Q8—22no—
454C22×Q8—22no—
455C22×Q8—22no—
456C22×Q8—22no—
457C22×Q8—22no—
458C22×Q8—22no—
459C22×Q8—22no—
460C22×Q8—22no—
461C22×Q8—22no—
462C22×Q8—22no—
463C22×Q8—22no—
464C22×Q8—22no—
465C22×Q8—22no—
466C22×Q8—22no—
467C22×Q8—22no—
468C22×Q8—41no—
469C22×Q8—41no—
470C22×Q8—41no—
471C22×Q8—41no—
472C22×Q8—41no—
473C22×Q8—41no—
474C22×Q8—41no—
475C22×Q8—41no—
476C22×Q8C2×D414yes—
477C22×Q8C2×D414yes—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C23×C4—22no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—22no—
489C23×C4—22no—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
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—41no—
506C23×C4—41no—
507C23×C4—41no—
508C23×C4—41no—
509C23×C4—41no—
510C23×C4—41no—
511C23×C4C2×D414yes—
512C23×C4#4114yes—
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C4⋊Q8—232no—
543C4⋊Q8—232no—
544#125—232no—
545#125—232no—
546C22⋊Q8—232no—
547C22⋊Q8—232no—
548C22⋊Q8—232no—
549C22⋊Q8—232no—
550C22⋊Q8—232no—
551C4×Q8—232no—
552C4×Q8—232no—
553C4×Q8—232no—
554C4×Q8—232no—
555#117—232no—
556#117—232no—
557#117—416no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
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—22no—
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⋊C4C2×D414yes—
633C2×C4⋊C4C2×D414yes—
634C2×C4⋊C4C2×D414yes—
635C2×C4⋊C4C2×D414yes—
636C2×C4⋊C4C2×D414yes—
637C2×C4⋊C4C2×D414yes—
638C2×C4⋊C4C2×D414yes—
639C2×C4⋊C4C2×D414yes—
640C2×C4⋊C4C2×D414yes—
641C2×C4⋊C4C2×D414yes—
642C2×C4⋊C4C2×D414yes—
643C2×C4⋊C4C2×D414yes—
644C2×C4⋊C4#4114yes—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
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—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—41no—
706C2×C22⋊C4—41no—
707C2×C22⋊C4—41no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—41no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4C2×D414yes—
715C2×C22⋊C4C2×D414yes—
716C2×C22⋊C4#4114yes—
717C2×C42—232no—
718C2×C42—22no—
719C2×C42—22no—
720C2×C42—22no—
721C2×C42—22no—
722C2×C42—22no—
723C2×C42—22no—
724C2×C42—22no—
725C2×C42—22no—
726C2×C42—22no—
727C2×C42—22no—
728C2×C42—22no—
729C2×C42—22no—
730C2×C42—22no—
731C2×C42—22no—
732C2×C42—22no—
733C2×C42—22no—
734C2×C42—22no—
735C2×C42—22no—
736C2×C42—22no—
737C2×C42—22no—
738C2×C42—22no—
739C2×C42—22no—
740C2×C42—22no—
741C2×C42—22no—
742C2×C42—22no—
743C2×C42—22no—
744C2×C42—22no—
745C2×C42—22no—
746C2×C42—22no—
747C2×C42—22no—
748C2×C42—22no—
749C2×C42—22no—
750C2×C42—22no—
751C2×C42—22no—
752C2×C42—41no—
753C2×C42—41no—
754C2×C42—41no—
755C2×C42—41no—
756C2×C42—41no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42C2×D414yes—
760C2×C42C2×D414yes—
761C2×C42C2×D414yes—
762C2×C42C2×D414yes—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—22no—
779#95—22no—
780#95—22no—
781#95—22no—
782#95—22no—
783#95—22no—
784#95—22no—
785#95—22no—
786#95—22no—
787#95—22no—
788#95—22no—
789#95—22no—
790#95—22no—
791#95—22no—
792#95—22no—
793#95—22no—
794#95—22no—
795#95—22no—
796#95—22no—
797#95—22no—
798#95—22no—
799#95—22no—
800#95—22no—
801#95—22no—
802#95—22no—
803#95—22no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
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—41no—
823#95—41no—
824#95—41no—
825#95—41no—
826#95—41no—
827#95—41no—
828#95—41no—
829#95—41no—
830#95—41no—
831#95—41no—
832#95—41no—
833#95—41no—
834#95—41no—
835#95—41no—
836#95—41no—
837#95—41no—
838#95—41no—
839#95—41no—
840#95#4114yes—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24C22×D412yes—
868C24C2×#4112yes—
869C24C2×#4112yes—
870C242−1+412yes—
871C24C2511yescharacteristic
872C2×Q8—28no—
873C2×Q8—28no—
874C2×Q8—28no—
875C2×Q8—28no—
876C2×Q8—28no—
877C2×Q8—28no—
878C2×Q8—44no—
879C2×Q8—44no—
880C2×Q8—44no—
881C2×Q8—44no—
882C2×Q8—44no—
883C2×Q8—44no—
884C2×Q8—44no—
885C2×Q8—44no—
886C2×Q8—44no—
887C2×Q8—44no—
888C2×Q8—44no—
889C2×Q8—44no—
890C2×Q8—44no—
891C2×Q8—44no—
892C2×Q8—44no—
893C2×Q8—44no—
894C2×Q8—44no—
895C2×Q8—44no—
896C2×Q8—44no—
897C2×Q8—44no—
898C2×Q8—44no—
899C2×Q8—44no—
900C2×D4—44no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—44no—
904C2×D4—82no—
905C2×D4—82no—
906C2×D4—82no—
907C22×C4—28no—
908C22×C4—28no—
909C22×C4—28no—
910C22×C4—28no—
911C22×C4—28no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—28no—
941C22×C4—28no—
942C22×C4—28no—
943C22×C4—28no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—28no—
1017C22×C4—28no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
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—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4C22×D412yes—
1106C22×C4C22×D412yes—
1107C22×C4C22×D412yes—
1108C22×C4C22×D412yes—
1109C22×C4C22×D412yes—
1110C22×C4C22×D412yes—
1111C22×C4C22×D412yes—
1112C22×C4C22×D412yes—
1113C22×C4C22×D412yes—
1114C22×C4C22×D412yes—
1115C22×C4C22×D412yes—
1116C22×C4C22×D412yes—
1117C22×C4C22×D412yes—
1118C22×C4C22×D412yes—
1119C22×C4C22×D412yes—
1120C22×C4C22×D412yes—
1121C22×C4C22×D412yes—
1122C22×C4C22×D412yes—
1123C22×C4C22×D412yes—
1124C22×C4C22×D412yes—
1125C22×C4C2×#4112yes—
1126C22×C4C2×#4112yes—
1127C22×C4C2×#4112yes—
1128C22×C4C2×#4112yes—
1129C22×C4C2×#4112yes—
1130C22×C4C2×#4112yes—
1131C22×C4C2×#4112yes—
1132C22×C4C2×#4112yes—
1133C22×C4C2×#4112yes—
1134C22×C4C2×#4112yes—
1135C22×C42−1+412yes—
1136C22×C42−1+412yes—
1137C22×C42−1+412yes—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—28no—
1154C4⋊C4—28no—
1155C4⋊C4—28no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—82no—
1166C4⋊C4#120116yes—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—82no—
1190C22⋊C4—82no—
1191C42—28no—
1192C42—28no—
1193C42—28no—
1194C42—28no—
1195C42—28no—
1196C42—28no—
1197C42—28no—
1198C42—28no—
1199C42—44no—
1200C42—44no—
1201C42—44no—
1202C42—44no—
1203C42—44no—
1204C42—44no—
1205C42—82no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23#54814yes—
1276C23C23×D411yescharacteristic
1277C23C23×D411yescharacteristic
1278C23C23×D411yescharacteristic
1279C23C22×#4111yescharacteristic
1280C23C22×#4111yescharacteristic
1281C23C22×#4111yescharacteristic
1282C23C22×#4111yescharacteristic
1283C23C2×2−1+411yescharacteristic
1284C23C2×2−1+411yescharacteristic
1285C23C2×2−1+411yescharacteristic
1286C23C2×2−1+411yescharacteristic
1287C23#58511yescharacteristic
1288C23#58511yescharacteristic
1289C23#58511yescharacteristic
1290C23#58511yescharacteristic
1291Q8—416no—
1292Q8—416no—
1293Q8—416no—
1294Q8—416no—
1295D4—88no—
1296C2×C4—232no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—416no—
1376C2×C4—416no—
1377C2×C4—416no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4C2×#12014yes—
1497C2×C4C2×#12014yes—
1498C2×C4C2×#12014yes—
1499C2×C4#52514yes—
1500C2×C4#54714yes—
1501C2×C4#54814yes—
1502C2×C4#54814yes—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22C22×#12011yescharacteristic
1534C22C2×#52511yescharacteristic
1535C22#344411yescharacteristic
1536C22#344911yescharacteristic
1537C22#346111yescharacteristic
1538C22C2×#54711yescharacteristic
1539C22C2×#54811yescharacteristic
1540C22C2×#54811yescharacteristic
1541C22C2×#54811yescharacteristic
1542C22D4×#4111yescharacteristic
1543C22D4×#4111yescharacteristic
1544C22D4×#4111yescharacteristic
1545C22D4×#4111yescharacteristic
1546C22D4×#4111yescharacteristic
1547C22D4×#4111yescharacteristic
1548C22#347511yescharacteristic
1549C22#348211yescharacteristic
1550C22#348511yescharacteristic
1551C22#348611yescharacteristic
1552C22#348611yescharacteristic
1553C22#348611yescharacteristic
1554C22#348911yescharacteristic
1555C22#348911yescharacteristic
1556C22#349511yescharacteristic
1557C22#349511yescharacteristic
1558C22#350711yescharacteristic
1559C22#350911yescharacteristic
1560C22#351011yescharacteristic
1561C22#351511yescharacteristic
1562C22#351811yescharacteristic
1563C22#352311yescharacteristic
1564C22#355511yescharacteristic
1565C22#355711yescharacteristic
1566C22#356411yescharacteristic
1567C22#356511yescharacteristic
1568C4—24no—
1569C4—24no—
1570C4—24no—
1571C4—24no—
1572C4—24no—
1573C4—24no—
1574C4—24no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C2—44no—
1598C2—82no—
1599C2#3472011yescharacteristic
1600C2#3473611yescharacteristic
1601C2#3566511yescharacteristic
1602C2#3614011yescharacteristic
1603C2#3614211yescharacteristic
1604C2#3621311yescharacteristic
1605C2#3657511yescharacteristic
1606C2#3781111yescharacteristic
1607C2#3782311yescharacteristic
1608C2#3837411yescharacteristic
1609C2#3971911yescharacteristic
1610C2#5911611yescharacteristic
1611C2#5913211yescharacteristic
1612C2#5913811yescharacteristic
1613C2#5918311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
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×#533C2semidirect
2. C2×#2475C2semidirect
4. C2×#2362C2semidirect
5. #16093C2semidirect
7. #15783C2semidirect
9. #15465C2semidirect
10. #15354C2semidirect
11. #15322C2semidirect
12. #15265C2semidirect
13. #15071C2semidirect
14. #15001C2semidirect
15. #14933C2semidirect
16. #14907C2semidirect
18. #14884C2semidirect
19. #14882C2semidirect
22. #14188C2semidirect
23. #14174C2semidirect
24. #14172C2semidirect
25. #14099C2semidirect
26. #14097C2semidirect
28. #14063C2semidirect
29. #14017C2semidirect
30. #13927C2semidirect
31. C4×#385C2semidirect
214. C2×#125D4semidirect
241. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C22×#5332
C2×#24752
C2×#24772
C2×#23622
#160932
#159512
#157832
#156132
#154652
#153542
#153222
#152652
#150712
#150012
#149332
#149072
#148902
#148842
#148822
#147652
#146962
#141882
#141742
#141722
#140992
#140972
#140642
#140632
#140172
#139272
C4×#3852