Finite Group Databasebeta

← #3479299

Subgroups — #3479299

Order 512.

2545 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2725C211yesmaximal, characteristic, complemented
2C2×#2685C211yesmaximal, characteristic
3#17157C211yesmaximal, characteristic, complemented
4#17092C211yesmaximal, characteristic, complemented
5#17026C211yesmaximal, characteristic, complemented
6#16863C211yesmaximal, characteristic, complemented
7#16633C211yesmaximal, characteristic, complemented
8#16549C211yesmaximal, characteristic, complemented
9#16533C211yesmaximal, characteristic, complemented
10#16443C211yesmaximal, characteristic, complemented
11#16326C211yesmaximal, characteristic, complemented
12#16298C211yesmaximal, characteristic, complemented
13#16087C211yesmaximal, characteristic, complemented
14#15815C211yesmaximal, characteristic, complemented
15#15696C211yesmaximal, characteristic, complemented
16#15660C211yesmaximal, characteristic, complemented
17#15619C211yesmaximal, characteristic, complemented
18#15480C211yesmaximal, characteristic, complemented
19#15365C211yesmaximal, characteristic, complemented
20#15297C211yesmaximal, characteristic, complemented
21#15281C211yesmaximal, characteristic
22#15268C211yesmaximal, characteristic
23#15170C211yesmaximal, characteristic, complemented
24#15103C211yesmaximal, characteristic, complemented
25#14993C211yesmaximal, characteristic, complemented
26#14966C211yesmaximal, characteristic, complemented
27#14933C211yesmaximal, characteristic, complemented
28#14628C211yesmaximal, characteristic, complemented
29#14365C211yesmaximal, characteristic, complemented
30#14141C211yesmaximal, characteristic, complemented
31#14101C211yesmaximal, characteristic, complemented
32C22×#126C2211yescharacteristic
33C22×#125C2211yescharacteristic, complemented
34C22×#120C2211yescharacteristic
35#2725—28no—
36#2685—28no—
37C2×#400C2211yescharacteristic, complemented
38C2×#400C2211yescharacteristic, complemented
39C2×#400C2211yescharacteristic, complemented
40C2×#399C2211yescharacteristic
41C2×#399C2211yescharacteristic
42C2×#399C2211yescharacteristic, complemented
43C2×#398C2211yescharacteristic, complemented
44C2×#397C2211yescharacteristic
45C2×#397C2211yescharacteristic
46C2×#397C2211yescharacteristic
47C2×#397C2211yescharacteristic
48C2×#396C2211yescharacteristic
49C2×#396C2211yescharacteristic
50C2×#396C2211yescharacteristic
51C2×#396C2211yescharacteristic
52C2×#396C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#390C2211yescharacteristic
62C2×#390C2211yescharacteristic
63C2×#390C2211yescharacteristic
64C2×#390C2211yescharacteristic
65C2×#389C2211yescharacteristic, complemented
66C2×#389C2211yescharacteristic, complemented
67C2×#389C2211yescharacteristic, complemented
68C2×#389C2211yescharacteristic, complemented
69C2×#389C2211yescharacteristic, complemented
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic, complemented
80C2×#388C2211yescharacteristic, complemented
81C2×#387C2211yescharacteristic, complemented
82C2×#387C2211yescharacteristic, complemented
83C2×#379C2211yescharacteristic
84C2×#379C2211yescharacteristic
85C2×#379C2211yescharacteristic
86C2×#379C2211yescharacteristic
87C2×#379C2211yescharacteristic
88C2×#379C2211yescharacteristic
89C2×C4×C4⋊C4C2211yescharacteristic, complemented
90#1445C2211yescharacteristic, complemented
91#1445C2211yescharacteristic, complemented
92#1444C2211yescharacteristic, complemented
93#1444C2211yescharacteristic, complemented
94#1444C2211yescharacteristic, complemented
95#1443C2211yescharacteristic, complemented
96#1443C2211yescharacteristic, complemented
97#1442C2211yescharacteristic, complemented
98#1442C2211yescharacteristic, complemented
99#1442C2211yescharacteristic, complemented
100#1442C2211yescharacteristic, complemented
101#1442C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, 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#1440C2211yescharacteristic
113#1440C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
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, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183C4⋊#95C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186#1434C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C2×#126—42no—
194C2×#126—42no—
195C2×#126D418yes—
196C2×#125—24no—
197C2×#125—42no—
198C2×#125—42no—
199C2×#120—24no—
200C2×#120—42no—
201C2×#120—42no—
202C22×C4⋊C4C2311yescharacteristic
203C22×C4⋊C4C2311yescharacteristic
204C22×C4⋊C4C2311yescharacteristic
205C22×C4⋊C4C2311yescharacteristic
206C22×C4⋊C4C2311yescharacteristic
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287#400—24no—
288#400—42no—
289#400—42no—
290#399—24no—
291#399—24no—
292#399—42no—
293#398—24no—
294#397—24no—
295#397—42no—
296#397—42no—
297#397—42no—
298#396—24no—
299#396—24no—
300#396—24no—
301#396—24no—
302#396—42no—
303#394—24no—
304#394—24no—
305#394—24no—
306#394—24no—
307#394—42no—
308#394—42no—
309#394—42no—
310#394—42no—
311#390—24no—
312#390—24no—
313#390—24no—
314#390—42no—
315#389—24no—
316#389—24no—
317#389—24no—
318#389—24no—
319#389—42no—
320#388—24no—
321#388—24no—
322#388—24no—
323#388—24no—
324#388—24no—
325#388—42no—
326#388—42no—
327#388—42no—
328#388—42no—
329#388—42no—
330#388—42no—
331#387—24no—
332#387—42no—
333#379—24no—
334#379—24no—
335#379—24no—
336#379—42no—
337#379—42no—
338#379—42no—
339C4×C4⋊C4—42no—
340C2×#95C2311yescharacteristic
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
406C25—22no—
407C25—22no—
408C25—22no—
409C25—41no—
410C25—41no—
411C25—41no—
412C25—41no—
413C25—41no—
414C25—41no—
415C25—41no—
416C25—41no—
417C25—41no—
418C25—41no—
419C25—41no—
420C25—41no—
421C25C2411yescharacteristic
422C25C2411yescharacteristic
423C25C2411yescharacteristic
424C25C2411yescharacteristic
425C22×D4—22no—
426C22×D4—22no—
427C22×D4—22no—
428C22×D4—22no—
429C22×D4—22no—
430C22×D4—22no—
431C22×D4—22no—
432C22×D4—41no—
433C22×D4—41no—
434C22×D4—41no—
435C22×D4—41no—
436C22×D4—41no—
437C22×D4—41no—
438C22×D4—41no—
439C22×D4—41no—
440C22×D4—41no—
441C22×D4—41no—
442C22×D4—41no—
443C22×D4—41no—
444C22×D4—41no—
445C22×D4—41no—
446C23×C4C2411yescharacteristic
447C23×C4C2411yescharacteristic
448C23×C4C2411yescharacteristic
449C23×C4C2411yescharacteristic
450C23×C4C2411yescharacteristic
451C23×C4C2411yescharacteristic
452C23×C4C2411yescharacteristic
453C23×C4C2411yescharacteristic
454C23×C4C2411yescharacteristic
455C23×C4C2411yescharacteristic
456C23×C4C2411yescharacteristic
457C23×C4C2411yescharacteristic
458C23×C4C2411yescharacteristic
459C23×C4C2411yescharacteristic
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472C23×C4C2411yescharacteristic
473#126—416no—
474#125—416no—
475#120—416no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—22no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—22no—
482C2×C4⋊C4—22no—
483C2×C4⋊C4—22no—
484C2×C4⋊C4—22no—
485C2×C4⋊C4—22no—
486C2×C4⋊C4—22no—
487C2×C4⋊C4—22no—
488C2×C4⋊C4—22no—
489C2×C4⋊C4—22no—
490C2×C4⋊C4—22no—
491C2×C4⋊C4—22no—
492C2×C4⋊C4—22no—
493C2×C4⋊C4—22no—
494C2×C4⋊C4—22no—
495C2×C4⋊C4—22no—
496C2×C4⋊C4—22no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—22no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4—22no—
502C2×C4⋊C4—22no—
503C2×C4⋊C4—22no—
504C2×C4⋊C4—22no—
505C2×C4⋊C4—22no—
506C2×C4⋊C4—41no—
507C2×C4⋊C4—41no—
508C2×C4⋊C4—41no—
509C2×C4⋊C4—41no—
510C2×C4⋊C4—41no—
511C2×C4⋊C4—41no—
512C2×C4⋊C4—41no—
513C2×C4⋊C4—41no—
514C2×C4⋊C4—41no—
515C2×C4⋊C4—41no—
516C2×C4⋊C4—41no—
517C2×C4⋊C4—41no—
518C2×C4⋊C4—41no—
519C2×C4⋊C4—41no—
520C2×C4⋊C4—41no—
521C2×C4⋊C4—41no—
522C2×C4⋊C4—41no—
523C2×C4⋊C4—41no—
524C2×C4⋊C4—41no—
525C2×C4⋊C4—41no—
526C2×C4⋊C4—41no—
527C2×C4⋊C4—41no—
528C2×C4⋊C4—41no—
529C2×C4⋊C4—41no—
530C2×C4⋊C4—41no—
531C2×C4⋊C4—41no—
532C2×C4⋊C4—41no—
533C2×C4⋊C4—41no—
534C2×C4⋊C4—41no—
535C2×C4⋊C4—41no—
536C2×C4⋊C4—41no—
537C2×C4⋊C4—41no—
538C2×C4⋊C4—41no—
539C2×C4⋊C4—41no—
540C2×C4⋊C4—41no—
541C2×C4⋊C4—41no—
542C2×C4⋊C4—41no—
543C2×C4⋊C4—41no—
544C2×C4⋊C4—41no—
545C2×C4⋊C4—41no—
546C2×C4⋊C4—41no—
547C2×C4⋊C4—41no—
548C2×C4⋊C4—41no—
549C2×C4⋊C4—41no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4C2×D414yes—
552C2×C4⋊C4C2×D414yes—
553C2×C4⋊C4C2×D414yes—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
577C2×C22⋊C4—22no—
578C2×C22⋊C4—22no—
579C2×C22⋊C4—22no—
580C2×C22⋊C4—22no—
581C2×C22⋊C4—22no—
582C2×C22⋊C4—22no—
583C2×C22⋊C4—22no—
584C2×C22⋊C4—22no—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—41no—
604C2×C22⋊C4—41no—
605C2×C22⋊C4—41no—
606C2×C22⋊C4—41no—
607C2×C22⋊C4—41no—
608C2×C22⋊C4—41no—
609C2×C22⋊C4—41no—
610C2×C22⋊C4—41no—
611C2×C22⋊C4—41no—
612C2×C22⋊C4—41no—
613C2×C22⋊C4—41no—
614C2×C22⋊C4—41no—
615C2×C22⋊C4—41no—
616C2×C22⋊C4—41no—
617C2×C22⋊C4—41no—
618C2×C22⋊C4—41no—
619C2×C22⋊C4—41no—
620C2×C22⋊C4—41no—
621C2×C22⋊C4—41no—
622C2×C22⋊C4—41no—
623C2×C22⋊C4—41no—
624C2×C22⋊C4—41no—
625C2×C22⋊C4—41no—
626C2×C22⋊C4—41no—
627C2×C22⋊C4—41no—
628C2×C22⋊C4—41no—
629C2×C22⋊C4—41no—
630C2×C22⋊C4—41no—
631C2×C22⋊C4—41no—
632C2×C22⋊C4—41no—
633C2×C22⋊C4—41no—
634C2×C22⋊C4—41no—
635C2×C22⋊C4—41no—
636C2×C22⋊C4—41no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—41no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—41no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
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—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⋊C4C2×D414yes—
704C2×C22⋊C4C2×D414yes—
705C2×C22⋊C4C2×D414yes—
706C2×C22⋊C4#4114yes—
707C2×C42—22no—
708C2×C42—22no—
709C2×C42—22no—
710C2×C42—22no—
711C2×C42—22no—
712C2×C42—22no—
713C2×C42—22no—
714C2×C42—41no—
715C2×C42—41no—
716C2×C42—41no—
717C2×C42—41no—
718C2×C42—41no—
719C2×C42—41no—
720C2×C42—41no—
721C2×C42—41no—
722C2×C42—41no—
723C2×C42—41no—
724C2×C42—41no—
725C2×C42—41no—
726C2×C42—41no—
727C2×C42—41no—
728C2×C42—41no—
729C2×C42—41no—
730C2×C42C2×D414yes—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—22no—
745#95—22no—
746#95—22no—
747#95—22no—
748#95—22no—
749#95—22no—
750#95—22no—
751#95—22no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—41no—
760#95—41no—
761#95—41no—
762#95—41no—
763#95—41no—
764#95—41no—
765#95—41no—
766#95—41no—
767#95—41no—
768#95—41no—
769#95—41no—
770#95—41no—
771#95—41no—
772#95—41no—
773#95—41no—
774#95—41no—
775#95—41no—
776#95—41no—
777#95—41no—
778#95—41no—
779#95—41no—
780#95—41no—
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—
797C24—21no—
798C24—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—21no—
806C24—21no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—21no—
812C24—21no—
813C24—21no—
814C24—21no—
815C24—21no—
816C24—21no—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
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—44no—
855C24—44no—
856C24—44no—
857C24—44no—
858C24—44no—
859C24—44no—
860C24—44no—
861C24—82no—
862C24—82no—
863C24—82no—
864C24—82no—
865C24—82no—
866C24—82no—
867C24—82no—
868C24—82no—
869C24—82no—
870C24—82no—
871C24—82no—
872C24—82no—
873C24—82no—
874C24—82no—
875C24—82no—
876C24—82no—
877C24—82no—
878C24—82no—
879C24—82no—
880C24—82no—
881C24—82no—
882C24—82no—
883C24—82no—
884C24—82no—
885C24—82no—
886C24—82no—
887C24—82no—
888C24—82no—
889C24C22×D412yes—
890C24C2×#4112yes—
891C242−1+412yes—
892C24C2511yescharacteristic
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C2×D4—82no—
901C2×D4—82no—
902C2×D4—82no—
903C2×D4—82no—
904C2×D4—82no—
905C2×D4—82no—
906C2×D4—82no—
907C2×D4—82no—
908C2×D4—82no—
909C2×D4—82no—
910C2×D4—82no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—82no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—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×C4C22×D412yes—
1091C22×C4C22×D412yes—
1092C22×C4C22×D412yes—
1093C22×C4C22×D412yes—
1094C22×C4C22×D412yes—
1095C22×C4C22×D412yes—
1096C22×C4C2×#4112yes—
1097C22×C4C2×#4112yes—
1098C22×C4H(5,𝔽2)12yes—
1099C22×C4H(5,𝔽2)12yes—
1100C22×C4H(5,𝔽2)12yes—
1101C22×C4H(5,𝔽2)12yes—
1102C22×C4H(5,𝔽2)12yes—
1103C4⋊C4—28no—
1104C4⋊C4—28no—
1105C4⋊C4—44no—
1106C4⋊C4—44no—
1107C4⋊C4—44no—
1108C4⋊C4—44no—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C4⋊C4—44no—
1112C4⋊C4—44no—
1113C4⋊C4—44no—
1114C4⋊C4—44no—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—82no—
1118C4⋊C4—82no—
1119C4⋊C4—82no—
1120C4⋊C4—82no—
1121C4⋊C4—82no—
1122C4⋊C4—82no—
1123C4⋊C4—82no—
1124C4⋊C4—82no—
1125C4⋊C4—82no—
1126C4⋊C4—82no—
1127C4⋊C4—82no—
1128C4⋊C4—82no—
1129C22⋊C4—28no—
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—82no—
1145C22⋊C4—82no—
1146C22⋊C4—82no—
1147C22⋊C4—82no—
1148C22⋊C4—82no—
1149C22⋊C4—82no—
1150C22⋊C4—82no—
1151C22⋊C4—82no—
1152C22⋊C4—82no—
1153C22⋊C4—82no—
1154C22⋊C4—82no—
1155C22⋊C4—82no—
1156C22⋊C4—82no—
1157C22⋊C4—82no—
1158C22⋊C4—82no—
1159C22⋊C4—82no—
1160C22⋊C4—82no—
1161C22⋊C4—82no—
1162C22⋊C4—82no—
1163C22⋊C4—82no—
1164C22⋊C4—82no—
1165C22⋊C4—82no—
1166C22⋊C4—82no—
1167C22⋊C4—82no—
1168C22⋊C4—82no—
1169C22⋊C4—82no—
1170C22⋊C4—82no—
1171C22⋊C4—82no—
1172C22⋊C4—82no—
1173C22⋊C4—82no—
1174C22⋊C4—82no—
1175C22⋊C4—82no—
1176C22⋊C4—82no—
1177C22⋊C4—82no—
1178C22⋊C4—82no—
1179C22⋊C4—82no—
1180C42—44no—
1181C42—44no—
1182C42—44no—
1183C42—82no—
1184C42—82no—
1185C42—82no—
1186C42—82no—
1187C42—82no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—88no—
1329C23—88no—
1330C23—88no—
1331C23—88no—
1332C23—88no—
1333C23—88no—
1334C23—88no—
1335C23—88no—
1336C23—88no—
1337C23—88no—
1338C23—88no—
1339C23—88no—
1340C23—88no—
1341C23—88no—
1342C23—88no—
1343C23C23×D411yescharacteristic
1344C23C22×#4111yescharacteristic
1345C23C2×H(5,𝔽2)11yescharacteristic
1346C23C2×H(5,𝔽2)11yescharacteristic
1347C23C2×H(5,𝔽2)11yescharacteristic
1348C23C2×H(5,𝔽2)11yescharacteristic
1349C23C2×H(5,𝔽2)11yescharacteristic
1350C23C2×2−1+411yescharacteristic
1351C23#58511yescharacteristic
1352C23#58511yescharacteristic
1353C23#58511yescharacteristic
1354C23#58511yescharacteristic
1355C23#58511yescharacteristic
1356C23#58511yescharacteristic
1357C23#58511yescharacteristic
1358D4—88no—
1359D4—88no—
1360D4—88no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×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#53414yes—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—832no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22C2×#53411yescharacteristic
1612C22D4×#4111yescharacteristic
1613C22#348811yescharacteristic
1614C22#348911yescharacteristic
1615C22#349411yescharacteristic
1616C22#349511yescharacteristic
1617C22#349811yescharacteristic
1618C22#350011yescharacteristic
1619C22#350011yescharacteristic
1620C22#350511yescharacteristic
1621C22#351311yescharacteristic
1622C22#351911yescharacteristic
1623C22#352111yescharacteristic
1624C22#352911yescharacteristic
1625C22#353311yescharacteristic
1626C22#353611yescharacteristic
1627C22#353611yescharacteristic
1628C22#354111yescharacteristic
1629C22#354211yescharacteristic
1630C22#354611yescharacteristic
1631C22#354611yescharacteristic
1632C22#355111yescharacteristic
1633C22#355811yescharacteristic
1634C22#355811yescharacteristic
1635C22#356011yescharacteristic
1636C22#356011yescharacteristic
1637C22#356011yescharacteristic
1638C22#356211yescharacteristic
1639C22#356211yescharacteristic
1640C22#356211yescharacteristic
1641C22#356211yescharacteristic
1642C22#356411yescharacteristic
1643C22#356411yescharacteristic
1644C22#356611yescharacteristic
1645C22#356611yescharacteristic
1646C4—24no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C4—81no—
1661C4—81no—
1662C4—81no—
1663C4—81no—
1664C4—81no—
1665C4—81no—
1666C4—81no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C2—82no—
1674C2—82no—
1675C2—82no—
1676C2—161no—
1677C2#3842811yescharacteristic
1678C2#4297911yescharacteristic
1679C2#4298811yescharacteristic
1680C2#4431211yescharacteristic
1681C2#4478411yescharacteristic
1682C2#4599411yescharacteristic
1683C2#4608711yescharacteristic
1684C2#4772411yescharacteristic
1685C2#4816611yescharacteristic
1686C2#4962711yescharacteristic
1687C2#4977311yescharacteristic
1688C2#5255211yescharacteristic
1689C2#5380311yescharacteristic
1690C2#5565011yescharacteristic
1691C2#5793911yescharacteristic
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×#2725C2semidirect
3. #17157C2semidirect
4. #17092C2semidirect
5. #17026C2semidirect
6. #16863C2semidirect
7. #16633C2semidirect
8. #16549C2semidirect
9. #16533C2semidirect
10. #16443C2semidirect
11. #16326C2semidirect
12. #16298C2semidirect
13. #16087C2semidirect
14. #15815C2semidirect
15. #15696C2semidirect
16. #15660C2semidirect
17. #15619C2semidirect
18. #15480C2semidirect
19. #15365C2semidirect
20. #15297C2semidirect
23. #15170C2semidirect
24. #15103C2semidirect
25. #14993C2semidirect
26. #14966C2semidirect
27. #14933C2semidirect
28. #14628C2semidirect
29. #14365C2semidirect
30. #14141C2semidirect
31. #14101C2semidirect
33. C22×#125C22semidirect
37. C2×#400C22semidirect
38. C2×#400C22semidirect
39. C2×#400C22semidirect
42. C2×#399C22semidirect
43. C2×#398C22semidirect
65. C2×#389C22semidirect
66. C2×#389C22semidirect
67. C2×#389C22semidirect
68. C2×#389C22semidirect
69. C2×#389C22semidirect
79. C2×#388C22semidirect
80. C2×#388C22semidirect
81. C2×#387C22semidirect
82. C2×#387C22semidirect
89. C2×C4×C4⋊C4C22semidirect
90. #1445C22semidirect
91. #1445C22semidirect
92. #1444C22semidirect
93. #1444C22semidirect
94. #1444C22semidirect
95. #1443C22semidirect
96. #1443C22semidirect
97. #1442C22semidirect
98. #1442C22semidirect
99. #1442C22semidirect
100. #1442C22semidirect
101. #1442C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. C4⋊#95C22semidirect
183. C4⋊#95C22semidirect
184. C4⋊#95C22semidirect
185. #1434C22semidirect
186. #1434C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#27252
C2×#26852
#171572
#170922
#170262
#168632
#166332
#165492
#165332
#164432
#163262
#162982
#160872
#158152
#156962
#156602
#156192
#154802
#153652
#152972
#152812
#152682
#151702
#151032
#149932
#149662
#149332
#146282
#143652
#141412
#141012