Finite Group Databasebeta

← #4034423

Subgroups — #4034423

Order 512.

3808 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2723C211yesmaximal, characteristic, complemented
2C2×#2405C211yesmaximal, characteristic
3#17150C211yesmaximal, characteristic, complemented
4#17123C211yesmaximal, characteristic, complemented
5#17098C211yesmaximal, characteristic, complemented
6#15986C211yesmaximal, characteristic, complemented
7#15983C211yesmaximal, characteristic, complemented
8#15951C211yesmaximal, characteristic, complemented
9#15939C211yesmaximal, characteristic, complemented
10#15764C211yesmaximal, characteristic, complemented
11#15497C211yesmaximal, characteristic, complemented
12#15480C211yesmaximal, characteristic, complemented
13#15475C211yesmaximal, characteristic, complemented
14#15463C211yesmaximal, characteristic, complemented
15#15325C211yesmaximal, characteristic, complemented
16#15297C211yesmaximal, characteristic, complemented
17#15292C211yesmaximal, characteristic, complemented
18#15282C211yesmaximal, characteristic, complemented
19#14978C211yesmaximal, characteristic, complemented
20#14923C211yesmaximal, characteristic, complemented
21#14734C211yesmaximal, characteristic, complemented
22#14734C211yesmaximal, characteristic, complemented
23#14717C211yesmaximal, characteristic, complemented
24#14717C211yesmaximal, characteristic, complemented
25#14523C211yesmaximal, characteristic, complemented
26#14391C211yesmaximal, characteristic, complemented
27#14377C211yesmaximal, characteristic, complemented
28#14360C211yesmaximal, characteristic, complemented
29#14359C211yesmaximal, characteristic, complemented
30#13902C211yesmaximal, characteristic
31#13867C211yesmaximal, characteristic
32C24×D4C2211yescharacteristic
33C22×#126C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic, complemented
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40#2723—28no—
41#2405—28no—
42C2×#399C2211yescharacteristic
43C2×#399C2211yescharacteristic, complemented
44C2×#399C2211yescharacteristic, complemented
45C2×#397C2211yescharacteristic, complemented
46C2×#397C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic, complemented
48C2×#397C2211yescharacteristic, complemented
49C2×#397C2211yescharacteristic, complemented
50C2×#396C2211yescharacteristic, complemented
51C2×#395C2211yescharacteristic, complemented
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#393C2211yescharacteristic
57C2×#393C2211yescharacteristic, complemented
58C2×#393C2211yescharacteristic, complemented
59C2×#390C2211yescharacteristic
60C2×#390C2211yescharacteristic
61C2×#390C2211yescharacteristic
62C2×#390C2211yescharacteristic
63C2×#389C2211yescharacteristic, complemented
64C2×#388C2211yescharacteristic, complemented
65C2×#388C2211yescharacteristic, complemented
66C2×#388C2211yescharacteristic, complemented
67C2×#387C2211yescharacteristic, complemented
68C2×#387C2211yescharacteristic, complemented
69C2×#387C2211yescharacteristic, complemented
70C2×#386C2211yescharacteristic
71C2×#386C2211yescharacteristic
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#386C2211yescharacteristic
75C2×#386C2211yescharacteristic
76C2×#385C2211yescharacteristic
77C2×#385C2211yescharacteristic
78C2×#385C2211yescharacteristic, complemented
79C2×#385C2211yescharacteristic, complemented
80C2×#385C2211yescharacteristic, complemented
81C2×#385C2211yescharacteristic, complemented
82C2×#382C2211yescharacteristic, complemented
83C2×#380C2211yescharacteristic
84C2×#380C2211yescharacteristic, complemented
85C2×#380C2211yescharacteristic, complemented
86C2×#379C2211yescharacteristic
87C2×#379C2211yescharacteristic
88C2×#379C2211yescharacteristic
89C2×#379C2211yescharacteristic
90C2×#379C2211yescharacteristic
91C2×#379C2211yescharacteristic
92C2×#379C2211yescharacteristic
93C2×#379C2211yescharacteristic
94C2×#379C2211yescharacteristic
95C2×#379C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97#1446C2211yescharacteristic, complemented
98#1445C2211yescharacteristic, complemented
99#1444C2211yescharacteristic, complemented
100#1444C2211yescharacteristic, complemented
101#1443C2211yescharacteristic, complemented
102#1442C2211yescharacteristic, complemented
103#1442C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1441C2211yescharacteristic, complemented
109#1441C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1440C2211yescharacteristic, complemented
117#1440C2211yescharacteristic, complemented
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1440C2211yescharacteristic, complemented
121#1440C2211yescharacteristic, complemented
122#1440C2211yescharacteristic, complemented
123#1440C2211yescharacteristic, complemented
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
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#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176C4⋊#95C2211yescharacteristic, complemented
177C4⋊#95C2211yescharacteristic, complemented
178#1434C2211yescharacteristic, complemented
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C26C2311yescharacteristic
191C23×Q8C2311yescharacteristic
192C23×D4—24no—
193C23×D4—24no—
194C23×D4—24no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C2×#126—24no—
209C2×#126—42no—
210C2×#126—42no—
211C2×#123—24no—
212C2×#123—24no—
213C2×#123—24no—
214C2×#123—24no—
215C2×#123—42no—
216C2×#123—42no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—42no—
219C2×C22⋊Q8—42no—
220C2×C22⋊Q8—42no—
221C2×C22⋊Q8—42no—
222C2×C22⋊Q8—42no—
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
245C22×C22⋊C4—42no—
246C22×C22⋊C4—42no—
247C22×C22⋊C4—42no—
248C22×C22⋊C4—42no—
249C22×C22⋊C4—42no—
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310#399—24no—
311#399—42no—
312#399—42no—
313#397—24no—
314#397—24no—
315#397—42no—
316#397—42no—
317#397—42no—
318#396—42no—
319#395—24no—
320#394—24no—
321#394—24no—
322#394—24no—
323#394D418yes—
324#393—24no—
325#393—42no—
326#393—42no—
327#390—24no—
328#390—24no—
329#390—42no—
330#390—42no—
331#389—24no—
332#388—24no—
333#388—42no—
334#388—42no—
335#387—24no—
336#387—42no—
337#387—42no—
338#386—24no—
339#386—24no—
340#386—24no—
341#386—24no—
342#386—42no—
343#386—42no—
344#385—24no—
345#385—24no—
346#385—24no—
347#385—42no—
348#385—42no—
349#385—42no—
350#382—24no—
351#380—42no—
352#380—42no—
353#380—42no—
354#379—24no—
355#379—24no—
356#379—24no—
357#379—42no—
358#379—42no—
359#379—42no—
360#379—42no—
361#379—42no—
362#379—42no—
363#379—42no—
364C4×C22⋊C4—42no—
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
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
427C25—22no—
428C25—22no—
429C25—22no—
430C25—22no—
431C25—22no—
432C25—22no—
433C25—22no—
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25C2411yescharacteristic
458C25C2411yescharacteristic
459C25C2411yescharacteristic
460C25C2411yescharacteristic
461C25C2411yescharacteristic
462C22×Q8—22no—
463C22×Q8—22no—
464C22×Q8—41no—
465C22×Q8—41no—
466C22×Q8—41no—
467C22×Q8—41no—
468C22×Q8—41no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
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—41no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4—41no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—41no—
494C22×D4—416no—
495C22×D4—416no—
496C22×D4—416no—
497C22×D4—416no—
498C22×D4—416no—
499C22×D4—416no—
500C22×D4—416no—
501C22×D4C2×D414yes—
502C22×D4#4114yes—
503C22×D4#4114yes—
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—41no—
520C23×C4—41no—
521C23×C4—41no—
522C23×C4—41no—
523C23×C4—41no—
524C23×C4—41no—
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×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565#126—416no—
566#123—416no—
567#123—416no—
568C22⋊Q8—416no—
569C22⋊Q8—416no—
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—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
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⋊C4C2×D414yes—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
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—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
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⋊C4—41no—
715C2×C22⋊C4—41no—
716C2×C22⋊C4—41no—
717C2×C22⋊C4—41no—
718C2×C22⋊C4—41no—
719C2×C22⋊C4—41no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4—41no—
725C2×C22⋊C4—41no—
726C2×C22⋊C4—41no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
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⋊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⋊C4C2×D414yes—
800C2×C22⋊C4C2×D414yes—
801C2×C22⋊C4C2×D414yes—
802C2×C22⋊C4C2×D414yes—
803C2×C42—22no—
804C2×C42—22no—
805C2×C42—22no—
806C2×C42—22no—
807C2×C42—22no—
808C2×C42—41no—
809C2×C42—41no—
810C2×C42—41no—
811C2×C42—41no—
812C2×C42—41no—
813C2×C42—41no—
814C2×C42—41no—
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—41no—
836#95—41no—
837#95—41no—
838#95—41no—
839#95—41no—
840#95—41no—
841#95—41no—
842#95—41no—
843#95—41no—
844#95—41no—
845#95—41no—
846#95—41no—
847#95—41no—
848#95—41no—
849#95—41no—
850#95—41no—
851#95—41no—
852#95—41no—
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#95C2×D414yes—
877C24—21no—
878C24—21no—
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—21no—
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—28no—
914C24—28no—
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—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—44no—
944C24—44no—
945C24—44no—
946C24—44no—
947C24—44no—
948C24—44no—
949C24—44no—
950C24—44no—
951C24—44no—
952C24—44no—
953C24—44no—
954C24—44no—
955C24—44no—
956C24—44no—
957C24—44no—
958C24—44no—
959C24—44no—
960C24—44no—
961C24—44no—
962C24—44no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—44no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—44no—
974C24—44no—
975C24—82no—
976C24—82no—
977C24—82no—
978C24—82no—
979C24—82no—
980C24—82no—
981C24—82no—
982C24—82no—
983C24—82no—
984C24—82no—
985C24—82no—
986C24—82no—
987C24—82no—
988C24—82no—
989C24—82no—
990C24—82no—
991C24—82no—
992C24—82no—
993C24—82no—
994C24—82no—
995C24—82no—
996C24—82no—
997C24—82no—
998C24—82no—
999C24—82no—
1000C24—82no—
1001C24—82no—
1002C24—82no—
1003C24—82no—
1004C24—82no—
1005C24—82no—
1006C24—82no—
1007C24—82no—
1008C24—82no—
1009C24—82no—
1010C24—82no—
1011C24C22×D412yes—
1012C24C22×D412yes—
1013C24C2×#4112yes—
1014C24C2×#4112yes—
1015C24C2×#4112yes—
1016C24C2×#4112yes—
1017C24H(5,𝔽2)12yes—
1018C24H(5,𝔽2)12yes—
1019C24H(5,𝔽2)12yes—
1020C242−1+412yes—
1021C242−1+412yes—
1022C24C2511yescharacteristic
1023C2×Q8—44no—
1024C2×Q8—44no—
1025C2×Q8—82no—
1026C2×Q8—82no—
1027C2×Q8—82no—
1028C2×Q8—82no—
1029C2×Q8—82no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—4128no—
1058C2×D4—44no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—28no—
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—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
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—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—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—82no—
1250C22×C4—82no—
1251C22×C4—82no—
1252C22×C4—82no—
1253C22×C4—82no—
1254C22×C4—82no—
1255C22×C4—82no—
1256C22×C4—82no—
1257C22×C4—82no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
1261C22×C4—82no—
1262C22×C4—82no—
1263C22×C4—82no—
1264C22×C4C22×D412yes—
1265C22×C4C22×D412yes—
1266C22×C4C22×D412yes—
1267C22×C4C22×D412yes—
1268C22×C4C22×D412yes—
1269C22×C4C2×#4112yes—
1270C22×C4C2×#4112yes—
1271C22×C4H(5,𝔽2)12yes—
1272C22×C4H(5,𝔽2)12yes—
1273C22×C4H(5,𝔽2)12yes—
1274C22×C4H(5,𝔽2)12yes—
1275C22×C4H(5,𝔽2)12yes—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—82no—
1290C4⋊C4—82no—
1291C4⋊C4—82no—
1292C4⋊C4—82no—
1293C4⋊C4—82no—
1294C4⋊C4—82no—
1295C4⋊C4—82no—
1296C4⋊C4—82no—
1297C22⋊C4—28no—
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—44no—
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⋊C4—82no—
1341C22⋊C4—82no—
1342C22⋊C4—82no—
1343C22⋊C4—82no—
1344C22⋊C4—82no—
1345C22⋊C4—82no—
1346C22⋊C4—82no—
1347C22⋊C4—82no—
1348C22⋊C4—82no—
1349C22⋊C4—82no—
1350C22⋊C4—82no—
1351C22⋊C4—82no—
1352C22⋊C4—82no—
1353C42—44no—
1354C42—44no—
1355C42—82no—
1356C42—82no—
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—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—416no—
1426C23—416no—
1427C23—416no—
1428C23—416no—
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—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
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—88no—
1534C23—88no—
1535C23—88no—
1536C23—88no—
1537C23—88no—
1538C23—88no—
1539C23—88no—
1540C23—88no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—88no—
1549C23—88no—
1550C23—88no—
1551C23—88no—
1552C23—88no—
1553C23—88no—
1554C23—88no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—88no—
1559C23#54614yes—
1560C23#55114yes—
1561C23#56314yes—
1562C23C23×D411yescharacteristic
1563C23C22×#4111yescharacteristic
1564C23C22×#4111yescharacteristic
1565C23C2×H(5,𝔽2)11yescharacteristic
1566C23C2×H(5,𝔽2)11yescharacteristic
1567C23C2×H(5,𝔽2)11yescharacteristic
1568C23C2×H(5,𝔽2)11yescharacteristic
1569C23C2×H(5,𝔽2)11yescharacteristic
1570C23C2×H(5,𝔽2)11yescharacteristic
1571C23C2×H(5,𝔽2)11yescharacteristic
1572C23C2×H(5,𝔽2)11yescharacteristic
1573C23C2×2−1+411yescharacteristic
1574C23C2×2−1+411yescharacteristic
1575C23#58511yescharacteristic
1576C23#58511yescharacteristic
1577Q8—88no—
1578D4—416no—
1579D4—416no—
1580D4—416no—
1581D4—416no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—416no—
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—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
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—88no—
1765C2×C4—88no—
1766C2×C4—88no—
1767C2×C4—88no—
1768C2×C4#54614yes—
1769C22—24no—
1770C22—24no—
1771C22—24no—
1772C22—24no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—24no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—832no—
1829C22—832no—
1830C22—81no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22C2×#54611yescharacteristic
1847C22C2×#54611yescharacteristic
1848C22C2×#55111yescharacteristic
1849C22#348411yescharacteristic
1850C22#348411yescharacteristic
1851C22#348911yescharacteristic
1852C22#348911yescharacteristic
1853C22#349011yescharacteristic
1854C22#349011yescharacteristic
1855C22#349811yescharacteristic
1856C22#351311yescharacteristic
1857C22#351311yescharacteristic
1858C22#351411yescharacteristic
1859C22#351411yescharacteristic
1860C22#352011yescharacteristic
1861C22#352011yescharacteristic
1862C22#352011yescharacteristic
1863C22#352011yescharacteristic
1864C22C2×#56311yescharacteristic
1865C22#353211yescharacteristic
1866C22#353211yescharacteristic
1867C22#353211yescharacteristic
1868C22#353311yescharacteristic
1869C22#353411yescharacteristic
1870C22#353511yescharacteristic
1871C22#353511yescharacteristic
1872C22#353611yescharacteristic
1873C22#353611yescharacteristic
1874C22#353611yescharacteristic
1875C22#353611yescharacteristic
1876C22#354211yescharacteristic
1877C22#354311yescharacteristic
1878C22#354311yescharacteristic
1879C22#354611yescharacteristic
1880C22#355811yescharacteristic
1881C4—24no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—81no—
1892C4—81no—
1893C4—81no—
1894C4—81no—
1895C4—81no—
1896C4—81no—
1897C4—81no—
1898C4—81no—
1899C4—81no—
1900C4—81no—
1901C4—81no—
1902C4—81no—
1903C4—81no—
1904C4—81no—
1905C4—81no—
1906C4—81no—
1907C2—44no—
1908C2—44no—
1909C2—44no—
1910C2—82no—
1911C2—82no—
1912C2#4310111yescharacteristic
1913C2#4330611yescharacteristic
1914C2#4366711yescharacteristic
1915C2#4402211yescharacteristic
1916C2#4507911yescharacteristic
1917C2#4535311yescharacteristic
1918C2#4545611yescharacteristic
1919C2#4572811yescharacteristic
1920C2#4619911yescharacteristic
1921C2#4635511yescharacteristic
1922C2#4647311yescharacteristic
1923C2#4716911yescharacteristic
1924C2#5343211yescharacteristic
1925C2#5418311yescharacteristic
1926C2#5900611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
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×#2723C2semidirect
3. #17150C2semidirect
4. #17123C2semidirect
5. #17098C2semidirect
6. #15986C2semidirect
7. #15983C2semidirect
8. #15951C2semidirect
9. #15939C2semidirect
10. #15764C2semidirect
11. #15497C2semidirect
12. #15480C2semidirect
13. #15475C2semidirect
14. #15463C2semidirect
15. #15325C2semidirect
16. #15297C2semidirect
17. #15292C2semidirect
18. #15282C2semidirect
19. #14978C2semidirect
20. #14923C2semidirect
21. #14734C2semidirect
22. #14734C2semidirect
23. #14717C2semidirect
24. #14717C2semidirect
25. #14523C2semidirect
26. #14391C2semidirect
27. #14377C2semidirect
28. #14360C2semidirect
29. #14359C2semidirect
33. C22×#126C22semidirect
36. C22×C22⋊Q8C22semidirect
37. C22×C22⋊Q8C22semidirect
43. C2×#399C22semidirect
44. C2×#399C22semidirect
45. C2×#397C22semidirect
46. C2×#397C22semidirect
47. C2×#397C22semidirect
48. C2×#397C22semidirect
49. C2×#397C22semidirect
50. C2×#396C22semidirect
51. C2×#395C22semidirect
57. C2×#393C22semidirect
58. C2×#393C22semidirect
63. C2×#389C22semidirect
64. C2×#388C22semidirect
65. C2×#388C22semidirect
66. C2×#388C22semidirect
67. C2×#387C22semidirect
68. C2×#387C22semidirect
69. C2×#387C22semidirect
78. C2×#385C22semidirect
79. C2×#385C22semidirect
80. C2×#385C22semidirect
81. C2×#385C22semidirect
82. C2×#382C22semidirect
84. C2×#380C22semidirect
85. C2×#380C22semidirect
97. #1446C22semidirect
98. #1445C22semidirect
99. #1444C22semidirect
100. #1444C22semidirect
101. #1443C22semidirect
102. #1442C22semidirect
103. #1442C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
113. #1441C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1440C22semidirect
117. #1440C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
120. #1440C22semidirect
121. #1440C22semidirect
122. #1440C22semidirect
123. #1440C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
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
168. #1437C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. C4⋊#95C22semidirect
177. C4⋊#95C22semidirect
178. #1434C22semidirect
181. C22⋊#95C22semidirect
182. C22⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#27232
C2×#24052
#171502
#171232
#170982
#159862
#159832
#159512
#159392
#157642
#154972
#154802
#154752
#154632
#153252
#152972
#152922
#152822
#149782
#149232
#147342
#147172
#145232
#143912
#143772
#143602
#143592
#139022
#138672