Finite Group Databasebeta

← #2032508

Subgroups — #2032508

Order 512.

3486 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2695C211yesmaximal, characteristic, complemented
2C2×#2849C211yesmaximal, characteristic
3#16698C211yesmaximal, characteristic, complemented
4#16405C211yesmaximal, characteristic, complemented
5#16396C211yesmaximal, characteristic, complemented
6#16379C211yesmaximal, characteristic, complemented
7#16298C211yesmaximal, characteristic, complemented
8#16255C211yesmaximal, characteristic
9#16004C211yesmaximal, characteristic, complemented
10#16004C211yesmaximal, characteristic, complemented
11#15982C211yesmaximal, characteristic, complemented
12#15922C211yesmaximal, characteristic, complemented
13#15560C211yesmaximal, characteristic, complemented
14#15550C211yesmaximal, characteristic, complemented
15#15529C211yesmaximal, characteristic, complemented
16#15512C211yesmaximal, characteristic, complemented
17#15462C211yesmaximal, characteristic, complemented
18#15441C211yesmaximal, characteristic, complemented
19#15436C211yesmaximal, characteristic, complemented
20#15383C211yesmaximal, characteristic, complemented
21#15327C211yesmaximal, characteristic, complemented
22#15324C211yesmaximal, characteristic, complemented
23#15306C211yesmaximal, characteristic, complemented
24#15271C211yesmaximal, characteristic, complemented
25#14693C211yesmaximal, characteristic, complemented
26#14680C211yesmaximal, characteristic, complemented
27#14551C211yesmaximal, characteristic, complemented
28#14373C211yesmaximal, characteristic, complemented
29#14366C211yesmaximal, characteristic, complemented
30#14360C211yesmaximal, characteristic, complemented
31#14357C211yesmaximal, characteristic
32C25×C4C2211yescharacteristic
33C22×#126C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#120C2211yescharacteristic
37#2849—28no—
38#2695—28no—
39C2×#400C2211yescharacteristic, complemented
40C2×#399C2211yescharacteristic
41C2×#398C2211yescharacteristic, complemented
42C2×#398C2211yescharacteristic, complemented
43C2×#398C2211yescharacteristic, complemented
44C2×#397C2211yescharacteristic
45C2×#397C2211yescharacteristic, complemented
46C2×#396C2211yescharacteristic
47C2×#396C2211yescharacteristic
48C2×#394C2211yescharacteristic
49C2×#394C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#389C2211yescharacteristic, complemented
52C2×#389C2211yescharacteristic, complemented
53C2×#389C2211yescharacteristic, complemented
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#387C2211yescharacteristic, complemented
57C2×#386C2211yescharacteristic
58C2×#386C2211yescharacteristic
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic
64C2×#385C2211yescharacteristic
65C2×#385C2211yescharacteristic
66C2×#385C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic
72C2×#385C2211yescharacteristic
73C2×#385C2211yescharacteristic
74C2×#385C2211yescharacteristic, complemented
75C2×#385C2211yescharacteristic, complemented
76C2×#381C2211yescharacteristic
77C2×#381C2211yescharacteristic
78C2×#381C2211yescharacteristic, complemented
79C2×#380C2211yescharacteristic
80C2×#380C2211yescharacteristic
81C2×#380C2211yescharacteristic
82C2×#380C2211yescharacteristic
83C2×#380C2211yescharacteristic
84C2×#380C2211yescharacteristic
85C2×#380C2211yescharacteristic, complemented
86C2×#379C2211yescharacteristic
87C2×#379C2211yescharacteristic
88C2×#379C2211yescharacteristic
89C2×#379C2211yescharacteristic
90C2×#379C2211yescharacteristic
91#1445C2211yescharacteristic, complemented
92#1445C2211yescharacteristic, complemented
93#1445C2211yescharacteristic, complemented
94#1445C2211yescharacteristic, complemented
95#1445C2211yescharacteristic, complemented
96#1444C2211yescharacteristic, complemented
97#1443C2211yescharacteristic, complemented
98#1443C2211yescharacteristic, complemented
99#1443C2211yescharacteristic, complemented
100#1443C2211yescharacteristic, complemented
101#1443C2211yescharacteristic, complemented
102#1442C2211yescharacteristic, complemented
103#1442C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1442C2211yescharacteristic, complemented
108#1442C2211yescharacteristic, complemented
109#1442C2211yescharacteristic, complemented
110#1442C2211yescharacteristic, complemented
111#1442C2211yescharacteristic, complemented
112#1442C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1441C2211yescharacteristic, complemented
117#1441C2211yescharacteristic, complemented
118#1441C2211yescharacteristic, complemented
119#1441C2211yescharacteristic, complemented
120#1441C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
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#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1434C2211yescharacteristic, complemented
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C26C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C24×C4—24no—
194C24×C4—24no—
195C24×C4—42no—
196C24×C4—42no—
197C24×C4—42no—
198C24×C4—42no—
199C24×C4—42no—
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#126—24no—
208C2×#126—42no—
209C2×#126—42no—
210C2×#123—24no—
211C2×#123—42no—
212C2×#123—42no—
213C2×#123—42no—
214C2×#123—42no—
215C2×#123D418yes—
216C2×#120—24no—
217C2×#120—24no—
218C2×#120—42no—
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×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊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×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288C22×C42C2311yescharacteristic
289#400—24no—
290#399—24no—
291#398—24no—
292#398—24no—
293#398—42no—
294#397—24no—
295#397—42no—
296#396—24no—
297#396—42no—
298#394—24no—
299#394—42no—
300#390—42no—
301#389—24no—
302#389—42no—
303#389—42no—
304#388—24no—
305#388—42no—
306#387—42no—
307#386—24no—
308#386—24no—
309#386—24no—
310#386—24no—
311#386—24no—
312#386—24no—
313#386—42no—
314#385—24no—
315#385—24no—
316#385—24no—
317#385—24no—
318#385—24no—
319#385—24no—
320#385—42no—
321#385—42no—
322#385—42no—
323#385—42no—
324#385—42no—
325#385—42no—
326#381—24no—
327#381—24no—
328#381—42no—
329#380—24no—
330#380—24no—
331#380—42no—
332#380—42no—
333#380—42no—
334#380—42no—
335#380—42no—
336#379—24no—
337#379—24no—
338#379—24no—
339#379—42no—
340#379—42no—
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
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
415C25—22no—
416C25—22no—
417C25—22no—
418C25—22no—
419C25—22no—
420C25—22no—
421C25—41no—
422C25—41no—
423C25—41no—
424C25—41no—
425C25—41no—
426C25—41no—
427C25—41no—
428C25—41no—
429C25#4114yes—
430C25C2411yescharacteristic
431C25C2411yescharacteristic
432C25C2411yescharacteristic
433C25C2411yescharacteristic
434C22×D4—22no—
435C22×D4—22no—
436C22×D4—22no—
437C22×D4—22no—
438C22×D4—22no—
439C22×D4—22no—
440C22×D4—22no—
441C22×D4—22no—
442C22×D4—22no—
443C22×D4—22no—
444C22×D4—41no—
445C22×D4—41no—
446C22×D4—41no—
447C22×D4—41no—
448C22×D4—41no—
449C22×D4—41no—
450C22×D4—41no—
451C22×D4—41no—
452C22×D4—41no—
453C22×D4—41no—
454C22×D4C2×D414yes—
455C23×C4—22no—
456C23×C4—22no—
457C23×C4—22no—
458C23×C4—22no—
459C23×C4—22no—
460C23×C4—22no—
461C23×C4—22no—
462C23×C4—22no—
463C23×C4—22no—
464C23×C4—22no—
465C23×C4—22no—
466C23×C4—22no—
467C23×C4—22no—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—22no—
471C23×C4—22no—
472C23×C4—22no—
473C23×C4—22no—
474C23×C4—22no—
475C23×C4—22no—
476C23×C4—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—416no—
504C23×C4—416no—
505C23×C4—416no—
506C23×C4—416no—
507C23×C4—416no—
508C23×C4—416no—
509C23×C4—416no—
510C23×C4C2×D414yes—
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
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538#126—416no—
539#123—416no—
540#123—416no—
541#120—416no—
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—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
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⋊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⋊C4C2×D414yes—
610C2×C4⋊C4C2×D414yes—
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—22no—
667C2×C22⋊C4—22no—
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—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—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⋊C4C2×D414yes—
740C2×C22⋊C4C2×D414yes—
741C2×C22⋊C4C2×D414yes—
742C2×C22⋊C4#4114yes—
743C2×C42—22no—
744C2×C42—41no—
745C2×C42—41no—
746C2×C42—41no—
747C2×C42—41no—
748C2×C42—41no—
749C2×C42—41no—
750C2×C42—41no—
751C2×C42—41no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—22no—
779#95—22no—
780#95—22no—
781#95—41no—
782#95—41no—
783#95—41no—
784#95—41no—
785#95—41no—
786#95—41no—
787#95—41no—
788#95—41no—
789#95—41no—
790#95—41no—
791#95—41no—
792#95—41no—
793#95—41no—
794#95—41no—
795#95—41no—
796#95—41no—
797#95—41no—
798#95—41no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805#95—41no—
806#95—41no—
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—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—28no—
863C24—28no—
864C24—28no—
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—44no—
880C24—44no—
881C24—44no—
882C24—44no—
883C24—44no—
884C24—44no—
885C24—44no—
886C24—44no—
887C24—44no—
888C24—44no—
889C24—44no—
890C24—44no—
891C24—44no—
892C24—44no—
893C24—44no—
894C24—44no—
895C24—44no—
896C24—44no—
897C24—44no—
898C24—44no—
899C24—44no—
900C24—44no—
901C24—44no—
902C24—44no—
903C24—44no—
904C24—44no—
905C24—44no—
906C24—44no—
907C24—44no—
908C24—44no—
909C24—44no—
910C24—44no—
911C24C22×D412yes—
912C24C22×D412yes—
913C24C2×#4112yes—
914C24C2×#4112yes—
915C24C2×#4112yes—
916C24C2×#4112yes—
917C24H(5,𝔽2)12yes—
918C24H(5,𝔽2)12yes—
919C242−1+412yes—
920C242−1+412yes—
921C24C2511yescharacteristic
922C2×D4—28no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—44no—
929C2×D4—44no—
930C2×D4—44no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—82no—
934C2×D4—82no—
935C2×D4—82no—
936C2×D4—82no—
937C2×D4—82no—
938C2×D4—82no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—82no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—28no—
948C22×C4—28no—
949C22×C4—28no—
950C22×C4—28no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—28no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—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—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—4128no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—82no—
1167C22×C4—82no—
1168C22×C4—82no—
1169C22×C4—82no—
1170C22×C4—82no—
1171C22×C4C22×D412yes—
1172C22×C4C22×D412yes—
1173C22×C4C22×D412yes—
1174C22×C4C22×D412yes—
1175C22×C4C22×D412yes—
1176C22×C4C2×#4112yes—
1177C22×C4C2×#4112yes—
1178C22×C4H(5,𝔽2)12yes—
1179C22×C4H(5,𝔽2)12yes—
1180C22×C4H(5,𝔽2)12yes—
1181C22×C4H(5,𝔽2)12yes—
1182C4⋊C4—28no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—82no—
1192C4⋊C4—82no—
1193C4⋊C4—82no—
1194C4⋊C4—82no—
1195C4⋊C4—82no—
1196C4⋊C4—82no—
1197C4⋊C4—82no—
1198C4⋊C4—82no—
1199C4⋊C4—82no—
1200C4⋊C4—82no—
1201C4⋊C4—82no—
1202C4⋊C4—82no—
1203C4⋊C4—82no—
1204C4⋊C4—82no—
1205C22⋊C4—28no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
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⋊C4—82no—
1246C22⋊C4—82no—
1247C22⋊C4—82no—
1248C22⋊C4—82no—
1249C42—44no—
1250C42—82no—
1251C42—82no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—416no—
1314C23—416no—
1315C23—416no—
1316C23—416no—
1317C23—416no—
1318C23—416no—
1319C23—416no—
1320C23—416no—
1321C23—416no—
1322C23—416no—
1323C23—416no—
1324C23—416no—
1325C23—416no—
1326C23—416no—
1327C23—416no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
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#53914yes—
1405C23#54614yes—
1406C23#55214yes—
1407C23C23×D411yescharacteristic
1408C23C22×#4111yescharacteristic
1409C23C22×#4111yescharacteristic
1410C23C2×H(5,𝔽2)11yescharacteristic
1411C23C2×H(5,𝔽2)11yescharacteristic
1412C23C2×H(5,𝔽2)11yescharacteristic
1413C23C2×H(5,𝔽2)11yescharacteristic
1414C23C2×H(5,𝔽2)11yescharacteristic
1415C23C2×H(5,𝔽2)11yescharacteristic
1416C23C2×2−1+411yescharacteristic
1417C23C2×2−1+411yescharacteristic
1418C23#58511yescharacteristic
1419C23#58511yescharacteristic
1420C23#58511yescharacteristic
1421C23#58511yescharacteristic
1422D4—88no—
1423D4—88no—
1424D4—88no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—416no—
1456C2×C4—416no—
1457C2×C4—416no—
1458C2×C4—416no—
1459C2×C4—416no—
1460C2×C4—416no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—88no—
1620C2×C4#53414yes—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—464no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22C2×#53411yescharacteristic
1683C22C2×#53911yescharacteristic
1684C22#345911yescharacteristic
1685C22C2×#54611yescharacteristic
1686C22D4×#4111yescharacteristic
1687C22C2×#55211yescharacteristic
1688C22#348411yescharacteristic
1689C22#348811yescharacteristic
1690C22#348911yescharacteristic
1691C22#348911yescharacteristic
1692C22#349011yescharacteristic
1693C22#349011yescharacteristic
1694C22#349111yescharacteristic
1695C22#349111yescharacteristic
1696C22#350611yescharacteristic
1697C22#351311yescharacteristic
1698C22#351911yescharacteristic
1699C22#352011yescharacteristic
1700C22#352911yescharacteristic
1701C22#353211yescharacteristic
1702C22#353211yescharacteristic
1703C22#353411yescharacteristic
1704C22#353511yescharacteristic
1705C22#353511yescharacteristic
1706C22#353611yescharacteristic
1707C22#353811yescharacteristic
1708C22#353911yescharacteristic
1709C22#353911yescharacteristic
1710C22#354011yescharacteristic
1711C22#354111yescharacteristic
1712C22#354111yescharacteristic
1713C22#354111yescharacteristic
1714C22#354111yescharacteristic
1715C22#354211yescharacteristic
1716C22#354211yescharacteristic
1717C4—24no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4—81no—
1740C4—81no—
1741C4—81no—
1742C4—81no—
1743C4—81no—
1744C2—44no—
1745C2—44no—
1746C2—44no—
1747C2—82no—
1748C2#3672611yescharacteristic
1749C2#3685511yescharacteristic
1750C2#3726811yescharacteristic
1751C2#3766111yescharacteristic
1752C2#3782511yescharacteristic
1753C2#3783211yescharacteristic
1754C2#3797611yescharacteristic
1755C2#3806411yescharacteristic
1756C2#3988411yescharacteristic
1757C2#4545311yescharacteristic
1758C2#4546111yescharacteristic
1759C2#4563711yescharacteristic
1760C2#5316611yescharacteristic
1761C2#5317411yescharacteristic
1762C2#5901211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2695C2semidirect
3. #16698C2semidirect
4. #16405C2semidirect
5. #16396C2semidirect
6. #16379C2semidirect
7. #16298C2semidirect
9. #16004C2semidirect
10. #16004C2semidirect
11. #15982C2semidirect
12. #15922C2semidirect
13. #15560C2semidirect
14. #15550C2semidirect
15. #15529C2semidirect
16. #15512C2semidirect
17. #15462C2semidirect
18. #15441C2semidirect
19. #15436C2semidirect
20. #15383C2semidirect
21. #15327C2semidirect
22. #15324C2semidirect
23. #15306C2semidirect
24. #15271C2semidirect
25. #14693C2semidirect
26. #14680C2semidirect
27. #14551C2semidirect
28. #14373C2semidirect
29. #14366C2semidirect
30. #14360C2semidirect
33. C22×#126C22semidirect
39. C2×#400C22semidirect
41. C2×#398C22semidirect
42. C2×#398C22semidirect
43. C2×#398C22semidirect
45. C2×#397C22semidirect
51. C2×#389C22semidirect
52. C2×#389C22semidirect
53. C2×#389C22semidirect
56. C2×#387C22semidirect
74. C2×#385C22semidirect
75. C2×#385C22semidirect
78. C2×#381C22semidirect
85. C2×#380C22semidirect
91. #1445C22semidirect
92. #1445C22semidirect
93. #1445C22semidirect
94. #1445C22semidirect
95. #1445C22semidirect
96. #1444C22semidirect
97. #1443C22semidirect
98. #1443C22semidirect
99. #1443C22semidirect
100. #1443C22semidirect
101. #1443C22semidirect
102. #1442C22semidirect
103. #1442C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1442C22semidirect
107. #1442C22semidirect
108. #1442C22semidirect
109. #1442C22semidirect
110. #1442C22semidirect
111. #1442C22semidirect
112. #1442C22semidirect
113. #1441C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1441C22semidirect
117. #1441C22semidirect
118. #1441C22semidirect
119. #1441C22semidirect
120. #1441C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
170. #1437C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#26952
C2×#28492
#166982
#164052
#163962
#163792
#162982
#162552
#160042
#159822
#159222
#155602
#155502
#155292
#155122
#154622
#154412
#154362
#153832
#153272
#153242
#153062
#152712
#146932
#146802
#145512
#143732
#143662
#143602
#143572