Finite Group Databasebeta

← #3333776

Subgroups — #3333776

Order 512.

3512 conjugacy classes of subgroups.

The subgroup lattice has 1883 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2694C211yesmaximal, characteristic, complemented
2C2×#2405C211yesmaximal, characteristic
3#17157C211yesmaximal, characteristic, complemented
4#17089C211yesmaximal, characteristic, complemented
5#16800C211yesmaximal, characteristic, complemented
6#16657C211yesmaximal, characteristic, complemented
7#16539C211yesmaximal, characteristic, complemented
8#16533C211yesmaximal, characteristic, complemented
9#16391C211yesmaximal, characteristic, complemented
10#16319C211yesmaximal, characteristic, complemented
11#16298C211yesmaximal, characteristic, complemented
12#16275C211yesmaximal, characteristic, complemented
13#15996C211yesmaximal, characteristic, complemented
14#15882C211yesmaximal, characteristic, complemented
15#15615C211yesmaximal, characteristic, complemented
16#15502C211yesmaximal, characteristic, complemented
17#15436C211yesmaximal, characteristic, complemented
18#15344C211yesmaximal, characteristic, complemented
19#15297C211yesmaximal, characteristic, complemented
20#15297C211yesmaximal, characteristic, complemented
21#15297C211yesmaximal, characteristic, complemented
22#15284C211yesmaximal, characteristic, complemented
23#14820C211yesmaximal, characteristic, complemented
24#14752C211yesmaximal, characteristic, complemented
25#14740C211yesmaximal, characteristic, complemented
26#14726C211yesmaximal, characteristic, complemented
27#14724C211yesmaximal, characteristic
28#14658C211yesmaximal, characteristic, complemented
29#14528C211yesmaximal, characteristic, complemented
30#14360C211yesmaximal, characteristic, complemented
31#13902C211yesmaximal, characteristic
32C24×D4C2211yescharacteristic
33C22×#125C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37#2694—28no—
38#2405—28no—
39C2×#399C2211yescharacteristic, complemented
40C2×#399C2211yescharacteristic, complemented
41C2×#398C2211yescharacteristic, complemented
42C2×#397C2211yescharacteristic
43C2×#397C2211yescharacteristic, complemented
44C2×#397C2211yescharacteristic, complemented
45C2×#397C2211yescharacteristic, complemented
46C2×#397C2211yescharacteristic, complemented
47C2×#396C2211yescharacteristic
48C2×#396C2211yescharacteristic
49C2×#396C2211yescharacteristic, complemented
50C2×#396C2211yescharacteristic, complemented
51C2×#396C2211yescharacteristic, complemented
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#390C2211yescharacteristic
61C2×#390C2211yescharacteristic
62C2×#390C2211yescharacteristic
63C2×#390C2211yescharacteristic
64C2×#389C2211yescharacteristic, complemented
65C2×#389C2211yescharacteristic, complemented
66C2×#388C2211yescharacteristic
67C2×#388C2211yescharacteristic, complemented
68C2×#388C2211yescharacteristic, complemented
69C2×#388C2211yescharacteristic, complemented
70C2×#387C2211yescharacteristic, complemented
71C2×#387C2211yescharacteristic, complemented
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#385C2211yescharacteristic
75C2×#385C2211yescharacteristic
76C2×#385C2211yescharacteristic
77C2×#385C2211yescharacteristic, complemented
78C2×#385C2211yescharacteristic, complemented
79C2×#380C2211yescharacteristic
80C2×#380C2211yescharacteristic, complemented
81C2×#380C2211yescharacteristic, complemented
82C2×#379C2211yescharacteristic
83C2×#379C2211yescharacteristic
84C2×#379C2211yescharacteristic
85C2×#379C2211yescharacteristic
86C2×#379C2211yescharacteristic
87C2×#379C2211yescharacteristic
88C2×#379C2211yescharacteristic
89C2×#379C2211yescharacteristic
90C2×#379C2211yescharacteristic
91C2×#379C2211yescharacteristic
92C2×#379C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94#1445C2211yescharacteristic, complemented
95#1445C2211yescharacteristic, complemented
96#1445C2211yescharacteristic, complemented
97#1445C2211yescharacteristic, complemented
98#1444C2211yescharacteristic, complemented
99#1444C2211yescharacteristic, complemented
100#1443C2211yescharacteristic, complemented
101#1442C2211yescharacteristic, complemented
102#1442C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1441C2211yescharacteristic, complemented
109#1441C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1440C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1440C2211yescharacteristic, complemented
121#1440C2211yescharacteristic, complemented
122#1440C2211yescharacteristic, complemented
123#1440C2211yescharacteristic, complemented
124#1440C2211yescharacteristic, complemented
125#1440C2211yescharacteristic, complemented
126#1440C2211yescharacteristic, complemented
127#1440C2211yescharacteristic, complemented
128#1440C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
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#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C26C2311yescharacteristic
191C23×D4—24no—
192C23×D4—24no—
193C23×D4—42no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C2×#125—24no—
206C2×#125—42no—
207C2×#125—42no—
208C2×#123—24no—
209C2×#123—24no—
210C2×#123—42no—
211C2×#123—42no—
212C2×#123—42no—
213C2×#123D418yes—
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
237C22×C22⋊C4—42no—
238C22×C22⋊C4—42no—
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301#399—24no—
302#399—24no—
303#398—24no—
304#397—24no—
305#397—42no—
306#397—42no—
307#397—42no—
308#397—42no—
309#396—24no—
310#396—42no—
311#396—42no—
312#396—42no—
313#396—42no—
314#394—24no—
315#394—24no—
316#394—24no—
317#394—24no—
318#394—24no—
319#394—24no—
320#394—42no—
321#394—42no—
322#390—24no—
323#390—42no—
324#390—42no—
325#390—42no—
326#389—24no—
327#389—42no—
328#388—24no—
329#388—24no—
330#388—42no—
331#388—42no—
332#387—24no—
333#387—42no—
334#386—24no—
335#386—24no—
336#385—24no—
337#385—24no—
338#385—24no—
339#385—42no—
340#385—42no—
341#380—24no—
342#380—42no—
343#380—42no—
344#379—24no—
345#379—24no—
346#379—24no—
347#379—42no—
348#379—42no—
349#379—42no—
350#379—42no—
351#379—42no—
352#379—42no—
353#379—42no—
354#379—42no—
355C4×C22⋊C4—42no—
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—22no—
425C25—22no—
426C25—22no—
427C25—22no—
428C25—22no—
429C25—22no—
430C25—41no—
431C25—41no—
432C25—41no—
433C25—41no—
434C25—41no—
435C25—41no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25—41no—
440C25—41no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25C2411yescharacteristic
449C25C2411yescharacteristic
450C25C2411yescharacteristic
451C25C2411yescharacteristic
452C25C2411yescharacteristic
453C22×D4—22no—
454C22×D4—22no—
455C22×D4—22no—
456C22×D4—22no—
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
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—416no—
480C22×D4—416no—
481C22×D4—416no—
482C22×D4—416no—
483C22×D4—416no—
484C22×D4—416no—
485C22×D4—416no—
486C22×D4C2×D414yes—
487C22×D4#4114yes—
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—41no—
497C23×C4—41no—
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×C4C2×D414yes—
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
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
535#125—416no—
536#123—416no—
537#123—416no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—22no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
544C2×C4⋊C4—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
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—41no—
566C2×C4⋊C4—41no—
567C2×C4⋊C4—41no—
568C2×C4⋊C4—41no—
569C2×C4⋊C4—41no—
570C2×C4⋊C4—41no—
571C2×C4⋊C4—41no—
572C2×C4⋊C4—41no—
573C2×C4⋊C4—41no—
574C2×C4⋊C4—41no—
575C2×C4⋊C4—41no—
576C2×C4⋊C4—41no—
577C2×C4⋊C4—41no—
578C2×C4⋊C4—41no—
579C2×C4⋊C4—41no—
580C2×C4⋊C4—41no—
581C2×C4⋊C4—41no—
582C2×C4⋊C4—41no—
583C2×C4⋊C4—41no—
584C2×C4⋊C4—41no—
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⋊C4C2×D414yes—
603C2×C4⋊C4C2×D414yes—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—22no—
618C2×C22⋊C4—22no—
619C2×C22⋊C4—22no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—22no—
622C2×C22⋊C4—22no—
623C2×C22⋊C4—22no—
624C2×C22⋊C4—22no—
625C2×C22⋊C4—22no—
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—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
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—416no—
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—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⋊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⋊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⋊C4C2×D414yes—
777C2×C22⋊C4C2×D414yes—
778C2×C22⋊C4C2×D414yes—
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—
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—41no—
808#95—41no—
809#95—41no—
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—
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—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—28no—
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—44no—
921C24—44no—
922C24—44no—
923C24—44no—
924C24—44no—
925C24—44no—
926C24—44no—
927C24—44no—
928C24—44no—
929C24—44no—
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—44no—
947C24—44no—
948C24—44no—
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—
962C24—82no—
963C24—82no—
964C24—82no—
965C24—82no—
966C24—82no—
967C24—82no—
968C24—82no—
969C24—82no—
970C24—82no—
971C24—82no—
972C24—82no—
973C24—82no—
974C24—82no—
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—
989C24C22×D412yes—
990C24C22×D412yes—
991C24C2×#4112yes—
992C24C2×#4112yes—
993C24H(5,𝔽2)12yes—
994C24H(5,𝔽2)12yes—
995C24H(5,𝔽2)12yes—
996C24H(5,𝔽2)12yes—
997C242−1+412yes—
998C24C2511yescharacteristic
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—4128no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—28no—
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—28no—
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—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—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×C4C22×D412yes—
1223C22×C4C22×D412yes—
1224C22×C4C22×D412yes—
1225C22×C4C22×D412yes—
1226C22×C4C22×D412yes—
1227C22×C4C2×#4112yes—
1228C22×C4H(5,𝔽2)12yes—
1229C22×C4H(5,𝔽2)12yes—
1230C22×C4H(5,𝔽2)12yes—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—82no—
1242C4⋊C4—82no—
1243C4⋊C4—82no—
1244C4⋊C4—82no—
1245C4⋊C4—82no—
1246C4⋊C4—82no—
1247C4⋊C4—82no—
1248C4⋊C4—82no—
1249C4⋊C4—82no—
1250C4⋊C4—82no—
1251C4⋊C4—82no—
1252C4⋊C4—82no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—82no—
1275C22⋊C4—82no—
1276C22⋊C4—82no—
1277C22⋊C4—82no—
1278C22⋊C4—82no—
1279C22⋊C4—82no—
1280C22⋊C4—82no—
1281C22⋊C4—82no—
1282C22⋊C4—82no—
1283C22⋊C4—82no—
1284C22⋊C4—82no—
1285C22⋊C4—82no—
1286C22⋊C4—82no—
1287C22⋊C4—82no—
1288C22⋊C4—82no—
1289C22⋊C4—82no—
1290C22⋊C4—82no—
1291C22⋊C4—82no—
1292C22⋊C4—82no—
1293C22⋊C4—82no—
1294C22⋊C4—82no—
1295C22⋊C4—82no—
1296C22⋊C4—82no—
1297C22⋊C4—82no—
1298C22⋊C4—82no—
1299C22⋊C4—82no—
1300C22⋊C4—82no—
1301C22⋊C4—82no—
1302C22⋊C4—82no—
1303C22⋊C4—82no—
1304C22⋊C4—82no—
1305C22⋊C4—82no—
1306C22⋊C4—82no—
1307C22⋊C4—82no—
1308C22⋊C4—82no—
1309C22⋊C4—82no—
1310C22⋊C4—82no—
1311C42—44no—
1312C42—82no—
1313C42—82no—
1314C42—82no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—416no—
1373C23—416no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—416no—
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—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—88no—
1505C23—88no—
1506C23—88no—
1507C23—88no—
1508C23—88no—
1509C23—88no—
1510C23—88no—
1511C23—88no—
1512C23—88no—
1513C23—88no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23#54614yes—
1519C23#56214yes—
1520C23C23×D411yescharacteristic
1521C23C22×#4111yescharacteristic
1522C23C2×H(5,𝔽2)11yescharacteristic
1523C23C2×H(5,𝔽2)11yescharacteristic
1524C23C2×H(5,𝔽2)11yescharacteristic
1525C23C2×H(5,𝔽2)11yescharacteristic
1526C23C2×H(5,𝔽2)11yescharacteristic
1527C23C2×H(5,𝔽2)11yescharacteristic
1528C23C2×H(5,𝔽2)11yescharacteristic
1529C23C2×2−1+411yescharacteristic
1530C23#58511yescharacteristic
1531C23#58511yescharacteristic
1532C23#58511yescharacteristic
1533C23#58511yescharacteristic
1534C23#58511yescharacteristic
1535D4—416no—
1536D4—416no—
1537D4—416no—
1538D4—416no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—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—416no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—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—88no—
1722C2×C4—88no—
1723C2×C4#53414yes—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
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—832no—
1776C22—832no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—81no—
1785C22—81no—
1786C22—81no—
1787C22—81no—
1788C22—81no—
1789C22—81no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22C2×#53411yescharacteristic
1802C22C2×#54611yescharacteristic
1803C22#348411yescharacteristic
1804C22#348811yescharacteristic
1805C22#348811yescharacteristic
1806C22#348911yescharacteristic
1807C22#349011yescharacteristic
1808C22#349011yescharacteristic
1809C22#350011yescharacteristic
1810C22#351311yescharacteristic
1811C22#352011yescharacteristic
1812C22#352111yescharacteristic
1813C22#352111yescharacteristic
1814C22C2×#56211yescharacteristic
1815C22#353211yescharacteristic
1816C22#353211yescharacteristic
1817C22#353311yescharacteristic
1818C22#353311yescharacteristic
1819C22#353411yescharacteristic
1820C22#353411yescharacteristic
1821C22#353411yescharacteristic
1822C22#353411yescharacteristic
1823C22#353511yescharacteristic
1824C22#353511yescharacteristic
1825C22#354211yescharacteristic
1826C22#354211yescharacteristic
1827C22#354311yescharacteristic
1828C22#354611yescharacteristic
1829C22#356011yescharacteristic
1830C22#356011yescharacteristic
1831C22#356111yescharacteristic
1832C22#356111yescharacteristic
1833C22#356211yescharacteristic
1834C22#356211yescharacteristic
1835C22#356211yescharacteristic
1836C4—24no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—81no—
1844C4—81no—
1845C4—81no—
1846C4—81no—
1847C4—81no—
1848C4—81no—
1849C4—81no—
1850C4—81no—
1851C4—81no—
1852C4—81no—
1853C4—81no—
1854C4—81no—
1855C4—81no—
1856C4—81no—
1857C4—81no—
1858C4—81no—
1859C4—81no—
1860C4—81no—
1861C4—81no—
1862C2—44no—
1863C2—44no—
1864C2—82no—
1865C2—82no—
1866C2—82no—
1867C2#3783211yescharacteristic
1868C2#4294311yescharacteristic
1869C2#4295111yescharacteristic
1870C2#4399811yescharacteristic
1871C2#4404411yescharacteristic
1872C2#4545411yescharacteristic
1873C2#4573311yescharacteristic
1874C2#4636211yescharacteristic
1875C2#4834511yescharacteristic
1876C2#4866511yescharacteristic
1877C2#5199211yescharacteristic
1878C2#5237311yescharacteristic
1879C2#5555911yescharacteristic
1880C2#5641511yescharacteristic
1881C2#5721111yescharacteristic
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×#2694C2semidirect
3. #17157C2semidirect
4. #17089C2semidirect
5. #16800C2semidirect
6. #16657C2semidirect
7. #16539C2semidirect
8. #16533C2semidirect
9. #16391C2semidirect
10. #16319C2semidirect
11. #16298C2semidirect
12. #16275C2semidirect
13. #15996C2semidirect
14. #15882C2semidirect
15. #15615C2semidirect
16. #15502C2semidirect
17. #15436C2semidirect
18. #15344C2semidirect
19. #15297C2semidirect
20. #15297C2semidirect
21. #15297C2semidirect
22. #15284C2semidirect
23. #14820C2semidirect
24. #14752C2semidirect
25. #14740C2semidirect
26. #14726C2semidirect
28. #14658C2semidirect
29. #14528C2semidirect
30. #14360C2semidirect
33. C22×#125C22semidirect
39. C2×#399C22semidirect
40. C2×#399C22semidirect
41. C2×#398C22semidirect
43. C2×#397C22semidirect
44. C2×#397C22semidirect
45. C2×#397C22semidirect
46. C2×#397C22semidirect
49. C2×#396C22semidirect
50. C2×#396C22semidirect
51. C2×#396C22semidirect
64. C2×#389C22semidirect
65. C2×#389C22semidirect
67. C2×#388C22semidirect
68. C2×#388C22semidirect
69. C2×#388C22semidirect
70. C2×#387C22semidirect
71. C2×#387C22semidirect
77. C2×#385C22semidirect
78. C2×#385C22semidirect
80. C2×#380C22semidirect
81. C2×#380C22semidirect
94. #1445C22semidirect
95. #1445C22semidirect
96. #1445C22semidirect
97. #1445C22semidirect
98. #1444C22semidirect
99. #1444C22semidirect
100. #1443C22semidirect
101. #1442C22semidirect
102. #1442C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
120. #1440C22semidirect
121. #1440C22semidirect
122. #1440C22semidirect
123. #1440C22semidirect
124. #1440C22semidirect
125. #1440C22semidirect
126. #1440C22semidirect
127. #1440C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
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
158. #1439C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1434C22semidirect
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×#26942
C2×#24052
#171572
#170892
#168002
#166572
#165392
#165332
#163912
#163192
#162982
#162752
#159962
#158822
#156152
#155022
#154362
#153442
#152972
#152842
#148202
#147522
#147402
#147262
#147242
#146582
#145282
#143602
#139022