Finite Group Databasebeta

← #604836

Subgroups — #604836

Order 512.

3430 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2539C211yesmaximal, characteristic
2#14658C211yesmaximal, characteristic, complemented
3#14636C211yesmaximal, characteristic, complemented
4#14621C211yesmaximal, characteristic, complemented
5#14592C211yesmaximal, characteristic, complemented
6#14584C211yesmaximal, characteristic, complemented
7#14572C211yesmaximal, characteristic, complemented
8#14519C211yesmaximal, characteristic, complemented
9#14505C211yesmaximal, characteristic, complemented
10#14440C211yesmaximal, characteristic, complemented
11#14438C211yesmaximal, characteristic, complemented
12#14438C211yesmaximal, characteristic, complemented
13#14429C211yesmaximal, characteristic, complemented
14#14377C211yesmaximal, characteristic, complemented
15#14377C211yesmaximal, characteristic, complemented
16#14361C211yesmaximal, characteristic, complemented
17#14361C211yesmaximal, characteristic, complemented
18#14360C211yesmaximal, characteristic, complemented
19#14359C211yesmaximal, characteristic, complemented
20#14357C211yesmaximal, characteristic, complemented
21#14351C211yesmaximal, characteristic, complemented
22#14317C211yesmaximal, characteristic, complemented
23#14299C211yesmaximal, characteristic, complemented
24#14134C211yesmaximal, characteristic, complemented
25#14036C211yesmaximal, characteristic, complemented
26#14018C211yesmaximal, characteristic, complemented
27#13995C211yesmaximal, characteristic, complemented
28#13967C211yesmaximal, characteristic, complemented
29#13877C211yesmaximal, characteristic, complemented
30#13877C211yesmaximal, characteristic, complemented
31#13875C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41#2539C4116yescomplemented
42C2×#399C2211yescharacteristic
43C2×#399C2211yescharacteristic
44C2×#392C2211yescharacteristic
45C2×#392C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic, complemented
54C2×#388C2211yescharacteristic, complemented
55C2×#388C2211yescharacteristic, complemented
56C2×#388C2211yescharacteristic, complemented
57C2×#387C2211yescharacteristic, complemented
58C2×#386C2211yescharacteristic
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic
64C2×#386C2211yescharacteristic
65C2×#386C2211yescharacteristic
66C2×#386C2211yescharacteristic
67C2×#386C2211yescharacteristic
68C2×#386C2211yescharacteristic
69C2×#386C2211yescharacteristic
70C2×#386C2211yescharacteristic, complemented
71C2×#386C2211yescharacteristic, complemented
72C2×#385C2211yescharacteristic
73C2×#385C2211yescharacteristic
74C2×#385C2211yescharacteristic
75C2×#385C2211yescharacteristic
76C2×#385C2211yescharacteristic
77C2×#385C2211yescharacteristic, complemented
78C2×#385C2211yescharacteristic, complemented
79C2×#385C2211yescharacteristic, complemented
80C2×#382C2211yescharacteristic, complemented
81C2×#380C2211yescharacteristic
82C2×#380C2211yescharacteristic
83C2×#380C2211yescharacteristic
84C2×#380C2211yescharacteristic
85C2×#379C2211yescharacteristic
86C2×#379C2211yescharacteristic
87C2×C4×C4⋊C4C2211yescharacteristic, complemented
88C2×C4×C22⋊C4C2211yescharacteristic
89C2×C4×C22⋊C4C2211yescharacteristic
90#1445C2211yescharacteristic, complemented
91#1443C2211yescharacteristic, complemented
92#1443C2211yescharacteristic, complemented
93#1443C2211yescharacteristic, complemented
94#1443C2211yescharacteristic, complemented
95#1442C2211yescharacteristic, complemented
96#1442C2211yescharacteristic, complemented
97#1441C2211yescharacteristic, complemented
98#1441C2211yescharacteristic, complemented
99#1441C2211yescharacteristic, complemented
100#1441C2211yescharacteristic, complemented
101#1441C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1440C2211yescharacteristic
111#1440C2211yescharacteristic
112#1440C2211yescharacteristic, complemented
113#1440C2211yescharacteristic, complemented
114#1440C2211yescharacteristic, complemented
115#1439C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic, complemented
130#1439C2211yescharacteristic, complemented
131#1439C2211yescharacteristic, complemented
132#1439C2211yescharacteristic, complemented
133#1439C2211yescharacteristic, complemented
134#1439C2211yescharacteristic, complemented
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1438C2211yescharacteristic
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic, complemented
149#1438C2211yescharacteristic, complemented
150#1437C2211yescharacteristic
151#1437C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic
155#1437C2211yescharacteristic
156#1437C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162C4⋊#95C2211yescharacteristic, complemented
163C4⋊#95C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165C4⋊#95C2211yescharacteristic, complemented
166#1434C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C26C2311yescharacteristic
189C23×D4C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C2×#123—42no—
205C2×#123—42no—
206C2×#123—42no—
207C2×#123—42no—
208C2×#123C2×C418yescomplemented
209C2×#123C2×C418yescomplemented
210C2×#121—42no—
211C2×#121—42no—
212C2×#121C2×C418yescomplemented
213C2×#120—42no—
214C2×#120—42no—
215C2×#120—42no—
216C2×#120—42no—
217C2×#120C2×C418yescomplemented
218C2×#120C2×C418yescomplemented
219C2×C4×D4—42no—
220C2×C4×D4—42no—
221C2×C4×D4—42no—
222C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—42no—
240C22×C22⋊C4—42no—
241C22×C22⋊C4—42no—
242C22×C22⋊C4—42no—
243C22×C22⋊C4—42no—
244C22×C22⋊C4—42no—
245C22×C22⋊C4—42no—
246C22×C22⋊C4—42no—
247C22×C22⋊C4C2×C418yescomplemented
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302C22×C42C2311yescharacteristic
303C22×C42C2311yescharacteristic
304#399C2×C418yescomplemented
305#399C2×C418yescomplemented
306#392C2×C418yescomplemented
307#392C2×C418yescomplemented
308#390—42no—
309#390—42no—
310#390—42no—
311#390C2×C418yescomplemented
312#390C2×C418yescomplemented
313#390C2×C418yescomplemented
314#390C2×C418yescomplemented
315#389—42no—
316#388—42no—
317#388—42no—
318#388—42no—
319#387—42no—
320#386—42no—
321#386—42no—
322#386—42no—
323#386—42no—
324#386—42no—
325#386—42no—
326#386—42no—
327#386—42no—
328#386—42no—
329#386—42no—
330#386—42no—
331#386—42no—
332#386—42no—
333#386—42no—
334#385—42no—
335#385—42no—
336#385—42no—
337#385—42no—
338#385—42no—
339#385—42no—
340#385—42no—
341#385—42no—
342#382—42no—
343#380—42no—
344#380—42no—
345#380—42no—
346#380—42no—
347#379—42no—
348#379—42no—
349C4×C4⋊C4—42no—
350C4×C22⋊C4—42no—
351C4×C22⋊C4C2×C418yescomplemented
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
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
418C25—22no—
419C25—22no—
420C25—22no—
421C25—22no—
422C25—22no—
423C25—22no—
424C25—41no—
425C25—41no—
426C25—41no—
427C25—41no—
428C25—41no—
429C25—41no—
430C25—41no—
431C25—41no—
432C25C22×C414yes—
433C25C2411yescharacteristic
434C25C2411yescharacteristic
435C25C2411yescharacteristic
436C25C2411yescharacteristic
437C25C2411yescharacteristic
438C22×D4—22no—
439C22×D4—22no—
440C22×D4—22no—
441C22×D4—22no—
442C22×D4—22no—
443C22×D4—22no—
444C22×D4—22no—
445C22×D4—22no—
446C22×D4—22no—
447C22×D4—22no—
448C22×D4—22no—
449C22×D4—22no—
450C22×D4—22no—
451C22×D4—22no—
452C22×D4—41no—
453C22×D4—41no—
454C22×D4—41no—
455C22×D4—41no—
456C22×D4—41no—
457C22×D4—41no—
458C22×D4—41no—
459C22×D4—41no—
460C22×D4—41no—
461C22×D4—41no—
462C22×D4—41no—
463C22×D4—41no—
464C22×D4—41no—
465C22×D4—41no—
466C22×D4—41no—
467C22×D4—41no—
468C22×D4—41no—
469C22×D4—41no—
470C22×D4—41no—
471C22×D4—41no—
472C22×D4—41no—
473C22×D4—41no—
474C22×D4—41no—
475C22×D4—41no—
476C22×D4—41no—
477C22×D4—41no—
478C22×D4—41no—
479C22×D4—41no—
480C22×D4C22×C414yes—
481C22×D4C22×C414yes—
482C22×D4C22×C414yes—
483C22×D4C22×C414yes—
484C22×D4C22×C414yes—
485C22×D4C22×C414yes—
486C22×D4C22×C414yes—
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—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—41no—
504C23×C4—41no—
505C23×C4—41no—
506C23×C4—41no—
507C23×C4—41no—
508C23×C4—41no—
509C23×C4—41no—
510C23×C4—41no—
511C23×C4—41no—
512C23×C4—41no—
513C23×C4—41no—
514C23×C4—41no—
515C23×C4—41no—
516C23×C4—41no—
517C23×C4—41no—
518C23×C4—41no—
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×C4—41no—
540C23×C4—41no—
541C23×C4C22×C414yes—
542C23×C4C22×C414yes—
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
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569#123—416no—
570#123—416no—
571#121—416no—
572#120—416no—
573#120—416no—
574C4×D4—416no—
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—41no—
586C2×C4⋊C4—41no—
587C2×C4⋊C4—41no—
588C2×C4⋊C4—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
592C2×C4⋊C4—41no—
593C2×C4⋊C4—41no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
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⋊C4C22×C414yes—
622C2×C4⋊C4C22×C414yes—
623C2×C4⋊C4C22×C414yes—
624C2×C4⋊C4C22×C414yes—
625C2×C4⋊C4C22×C414yes—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
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—416no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4—41no—
679C2×C22⋊C4—41no—
680C2×C22⋊C4—41no—
681C2×C22⋊C4—41no—
682C2×C22⋊C4—41no—
683C2×C22⋊C4—41no—
684C2×C22⋊C4—41no—
685C2×C22⋊C4—41no—
686C2×C22⋊C4—41no—
687C2×C22⋊C4—41no—
688C2×C22⋊C4—41no—
689C2×C22⋊C4—41no—
690C2×C22⋊C4—41no—
691C2×C22⋊C4—41no—
692C2×C22⋊C4—41no—
693C2×C22⋊C4—41no—
694C2×C22⋊C4—41no—
695C2×C22⋊C4—41no—
696C2×C22⋊C4—41no—
697C2×C22⋊C4—41no—
698C2×C22⋊C4—41no—
699C2×C22⋊C4—41no—
700C2×C22⋊C4—41no—
701C2×C22⋊C4—41no—
702C2×C22⋊C4—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—416no—
706C2×C22⋊C4—416no—
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—41no—
741C2×C22⋊C4—41no—
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⋊C4C22×C414yes—
764C2×C22⋊C4C22×C414yes—
765C2×C22⋊C4C22×C414yes—
766C2×C22⋊C4C22×C414yes—
767C2×C22⋊C4C22×C414yes—
768C2×C22⋊C4C22×C414yes—
769C2×C22⋊C4C22×C414yes—
770C2×C22⋊C4C22×C414yes—
771C2×C22⋊C4C22×C414yes—
772C2×C22⋊C4C22×C414yes—
773C2×C22⋊C4C22×C414yes—
774C2×C22⋊C4C22×C414yes—
775C2×C22⋊C4C22×C414yes—
776C2×C22⋊C4C22×C414yes—
777C2×C22⋊C4C22×C414yes—
778C2×C22⋊C4C22×C414yes—
779C2×C42—22no—
780C2×C42—22no—
781C2×C42—22no—
782C2×C42—41no—
783C2×C42—41no—
784C2×C42—41no—
785C2×C42—41no—
786C2×C42—41no—
787C2×C42—41no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42—41no—
791C2×C42—41no—
792C2×C42—41no—
793C2×C42—41no—
794C2×C42—41no—
795C2×C42C22×C414yes—
796C2×C42C22×C414yes—
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—41no—
811#95—41no—
812#95—41no—
813#95—41no—
814#95—41no—
815#95—41no—
816#95—41no—
817#95—41no—
818#95—41no—
819#95—41no—
820#95—41no—
821#95—41no—
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—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#95C22×C414yes—
862#95C22×C414yes—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
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—21no—
914C24—21no—
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—28no—
928C24—28no—
929C24—28no—
930C24—44no—
931C24—44no—
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—82no—
947C24—82no—
948C24—82no—
949C24—82no—
950C24—82no—
951C24—82no—
952C24—82no—
953C24—82no—
954C24—82no—
955C24—82no—
956C24—82no—
957C24—82no—
958C24—82no—
959C24—82no—
960C24—82no—
961C24—82no—
962C24C23×C412yes—
963C24C23×C412yes—
964C24C23×C412yes—
965C24C23×C412yes—
966C24C23×C412yes—
967C24H(5,𝔽2)12yes—
968C24H(5,𝔽2)12yes—
969C24H(5,𝔽2)12yes—
970C24H(5,𝔽2)12yes—
971C242−1+412yes—
972C242−1+412yes—
973C24C2511yescharacteristic
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
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—82no—
1000C2×D4—82no—
1001C2×D4—82no—
1002C2×D4—82no—
1003C2×D4—82no—
1004C2×D4—82no—
1005C2×D4—82no—
1006C2×D4—82no—
1007C2×D4—82no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—82no—
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—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—28no—
1092C22×C4—28no—
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—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—82no—
1203C22×C4—82no—
1204C22×C4—82no—
1205C22×C4—82no—
1206C22×C4—82no—
1207C22×C4—82no—
1208C22×C4—82no—
1209C22×C4—82no—
1210C22×C4—82no—
1211C22×C4—82no—
1212C22×C4—82no—
1213C22×C4—82no—
1214C22×C4—82no—
1215C22×C4—82no—
1216C22×C4—82no—
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×C4—82no—
1236C22×C4—82no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—82no—
1240C22×C4—82no—
1241C22×C4—82no—
1242C22×C4—82no—
1243C22×C4—82no—
1244C22×C4—82no—
1245C22×C4C23×C412yes—
1246C22×C4C23×C412yes—
1247C22×C4C23×C412yes—
1248C22×C4C23×C412yes—
1249C22×C4C23×C412yes—
1250C22×C4C23×C412yes—
1251C22×C4C23×C412yes—
1252C22×C4C23×C412yes—
1253C22×C4C23×C412yes—
1254C22×C4C23×C412yes—
1255C22×C4H(5,𝔽2)12yes—
1256C22×C4H(5,𝔽2)12yes—
1257C22×C4H(5,𝔽2)12yes—
1258C22×C4H(5,𝔽2)12yes—
1259C22×C4H(5,𝔽2)12yes—
1260C22×C4H(5,𝔽2)12yes—
1261C4⋊C4—28no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—82no—
1270C4⋊C4—82no—
1271C4⋊C4—82no—
1272C4⋊C4—82no—
1273C4⋊C4—82no—
1274C4⋊C4—82no—
1275C4⋊C4—82no—
1276C4⋊C4—82no—
1277C4⋊C4—82no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
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—82no—
1306C22⋊C4—82no—
1307C22⋊C4—82no—
1308C22⋊C4—82no—
1309C22⋊C4—82no—
1310C22⋊C4—82no—
1311C22⋊C4—82no—
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—
1322C22⋊C4—82no—
1323C22⋊C4—82no—
1324C22⋊C4—82no—
1325C22⋊C4—82no—
1326C22⋊C4—82no—
1327C22⋊C4—82no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—82no—
1332C42—82no—
1333C42—82no—
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—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—416no—
1403C23—416no—
1404C23—416no—
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—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—88no—
1510C23—88no—
1511C23—88no—
1512C23—88no—
1513C23—88no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23—88no—
1521C23#51814yes—
1522C23#52014yes—
1523C23#52014yes—
1524C23C24×C411yescharacteristic
1525C23C2×H(5,𝔽2)11yescharacteristic
1526C23C2×H(5,𝔽2)11yescharacteristic
1527C23C2×H(5,𝔽2)11yescharacteristic
1528C23C2×H(5,𝔽2)11yescharacteristic
1529C23C2×H(5,𝔽2)11yescharacteristic
1530C23C2×H(5,𝔽2)11yescharacteristic
1531C23C2×H(5,𝔽2)11yescharacteristic
1532C23C2×H(5,𝔽2)11yescharacteristic
1533C23C2×H(5,𝔽2)11yescharacteristic
1534C23C2×H(5,𝔽2)11yescharacteristic
1535C23C2×2−1+411yescharacteristic
1536C23C2×2−1+411yescharacteristic
1537C23#58511yescharacteristic
1538C23#58511yescharacteristic
1539D4—416no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—88no—
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—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
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—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—88no—
1727C2×C4—88no—
1728C2×C4—88no—
1729C2×C4—88no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4#51814yes—
1735C2×C4#51814yes—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—24no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
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—832no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22C2×#51811yescharacteristic
1813C22C2×#51811yescharacteristic
1814C22C2×#51811yescharacteristic
1815C22C2×#52011yescharacteristic
1816C22C2×#52011yescharacteristic
1817C22C4×H(5,𝔽2)11yescharacteristic
1818C22C4×H(5,𝔽2)11yescharacteristic
1819C22#353211yescharacteristic
1820C22#353211yescharacteristic
1821C22#353211yescharacteristic
1822C22#353411yescharacteristic
1823C22#353411yescharacteristic
1824C22#353411yescharacteristic
1825C22#353411yescharacteristic
1826C22#353511yescharacteristic
1827C22#353511yescharacteristic
1828C22#353511yescharacteristic
1829C22#353611yescharacteristic
1830C22#353611yescharacteristic
1831C22#353611yescharacteristic
1832C22#353611yescharacteristic
1833C22#353611yescharacteristic
1834C22#353611yescharacteristic
1835C22#353711yescharacteristic
1836C22#353711yescharacteristic
1837C22#353811yescharacteristic
1838C22#354211yescharacteristic
1839C22#354311yescharacteristic
1840C22#354311yescharacteristic
1841C22#354311yescharacteristic
1842C22#354311yescharacteristic
1843C22#354311yescharacteristic
1844C22#355811yescharacteristic
1845C22#356011yescharacteristic
1846C22#356111yescharacteristic
1847C4—24no—
1848C4—24no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—81no—
1860C4—81no—
1861C4—81no—
1862C4—81no—
1863C4—81no—
1864C4—81no—
1865C4—81no—
1866C4—81no—
1867C4—81no—
1868C4—81no—
1869C4—81no—
1870C4—81no—
1871C4—81no—
1872C4—81no—
1873C2—44no—
1874C2—44no—
1875C2—44no—
1876C2—82no—
1877C2—82no—
1878C2#3436011yescharacteristic
1879C2#3436411yescharacteristic
1880C2#3443711yescharacteristic
1881C2#3445611yescharacteristic
1882C2#3445611yescharacteristic
1883C2#3445611yescharacteristic
1884C2#3447611yescharacteristic
1885C2#5714211yescharacteristic
1886C2#5715111yescharacteristic
1887C2#5717811yescharacteristic
1888C2#5719111yescharacteristic
1889C2#5739611yescharacteristic
1890C2#5742711yescharacteristic
1891C2#5743811yescharacteristic
1892C2#5751911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2539C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14658C2semidirect
3. #14636C2semidirect
4. #14621C2semidirect
5. #14592C2semidirect
6. #14584C2semidirect
7. #14572C2semidirect
8. #14519C2semidirect
9. #14505C2semidirect
10. #14440C2semidirect
11. #14438C2semidirect
12. #14438C2semidirect
13. #14429C2semidirect
14. #14377C2semidirect
15. #14377C2semidirect
16. #14361C2semidirect
17. #14361C2semidirect
18. #14360C2semidirect
19. #14359C2semidirect
20. #14357C2semidirect
21. #14351C2semidirect
22. #14317C2semidirect
23. #14299C2semidirect
24. #14134C2semidirect
25. #14036C2semidirect
26. #14018C2semidirect
27. #13995C2semidirect
28. #13967C2semidirect
29. #13877C2semidirect
30. #13877C2semidirect
31. #13875C2semidirect
41. #2539C4semidirect
53. C2×#389C22semidirect
54. C2×#388C22semidirect
55. C2×#388C22semidirect
56. C2×#388C22semidirect
57. C2×#387C22semidirect
70. C2×#386C22semidirect
71. C2×#386C22semidirect
77. C2×#385C22semidirect
78. C2×#385C22semidirect
79. C2×#385C22semidirect
80. C2×#382C22semidirect
87. C2×C4×C4⋊C4C22semidirect
90. #1445C22semidirect
91. #1443C22semidirect
92. #1443C22semidirect
93. #1443C22semidirect
94. #1443C22semidirect
95. #1442C22semidirect
96. #1442C22semidirect
97. #1441C22semidirect
98. #1441C22semidirect
99. #1441C22semidirect
100. #1441C22semidirect
101. #1441C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
112. #1440C22semidirect
113. #1440C22semidirect
114. #1440C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
148. #1438C22semidirect
149. #1438C22semidirect
156. #1437C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. C4⋊#95C22semidirect
163. C4⋊#95C22semidirect
164. C4⋊#95C22semidirect
165. C4⋊#95C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
170. #1434C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
208. C2×#123C2×C4semidirect
209. C2×#123C2×C4semidirect
212. C2×#121C2×C4semidirect
217. C2×#120C2×C4semidirect
218. C2×#120C2×C4semidirect
247. C22×C22⋊C4C2×C4semidirect
304. #399C2×C4semidirect
305. #399C2×C4semidirect
306. #392C2×C4semidirect
307. #392C2×C4semidirect
311. #390C2×C4semidirect
312. #390C2×C4semidirect
313. #390C2×C4semidirect
314. #390C2×C4semidirect
351. C4×C22⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#25392
#146582
#146362
#146212
#145922
#145842
#145722
#145192
#145052
#144402
#144382
#144292
#143772
#143612
#143602
#143592
#143572
#143512
#143172
#142992
#141342
#140362
#140182
#139952
#139672
#138772
#138752