Finite Group Databasebeta

← #2076763

Subgroups — #2076763

Order 512.

3345 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2678C211yesmaximal, characteristic
2C2×#2591C211yesmaximal, characteristic, complemented
3C2×#2486C211yesmaximal, characteristic, complemented
4C2×#2418C211yesmaximal, characteristic, complemented
5#17092C211yesmaximal, characteristic, complemented
6#16863C211yesmaximal, characteristic, complemented
7#16428C211yesmaximal, characteristic, complemented
8#16361C211yesmaximal, characteristic, complemented
9#16326C211yesmaximal, characteristic, complemented
10#16256C211yesmaximal, characteristic, complemented
11#16255C211yesmaximal, characteristic, complemented
12#15948C211yesmaximal, characteristic, complemented
13#15775C211yesmaximal, characteristic, complemented
14#15702C211yesmaximal, characteristic, complemented
15#15619C211yesmaximal, characteristic, complemented
16#15561C211yesmaximal, characteristic, complemented
17#15489C211yesmaximal, characteristic, complemented
18#15352C211yesmaximal, characteristic, complemented
19#15341C211yesmaximal, characteristic, complemented
20#15303C211yesmaximal, characteristic, complemented
21#15282C211yesmaximal, characteristic, complemented
22#15270C211yesmaximal, characteristic, complemented
23#15002C211yesmaximal, characteristic, complemented
24#14838C211yesmaximal, characteristic, complemented
25#14730C211yesmaximal, characteristic, complemented
26#14725C211yesmaximal, characteristic, complemented
27#14563C211yesmaximal, characteristic, complemented
28#14374C211yesmaximal, characteristic, complemented
29#14256C211yesmaximal, characteristic, complemented
30#14096C211yesmaximal, characteristic, complemented
31#13873C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C23×C4⋊C4C2211yescharacteristic, complemented
40C23×C22⋊C4C2211yescharacteristic
41#2678—28no—
42#2591—28no—
43#2486—28no—
44#2418—28no—
45C2×#400C2211yescharacteristic, complemented
46C2×#400C2211yescharacteristic, complemented
47C2×#399C2211yescharacteristic
48C2×#398C2211yescharacteristic, complemented
49C2×#398C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic
52C2×#397C2211yescharacteristic
53C2×#397C2211yescharacteristic
54C2×#396C2211yescharacteristic
55C2×#396C2211yescharacteristic, complemented
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic, complemented
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic
67C2×#390C2211yescharacteristic
68C2×#390C2211yescharacteristic
69C2×#389C2211yescharacteristic, complemented
70C2×#389C2211yescharacteristic, complemented
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic, complemented
79C2×#388C2211yescharacteristic, complemented
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic, complemented
89C2×#385C2211yescharacteristic
90C2×#381C2211yescharacteristic, complemented
91C2×#381C2211yescharacteristic, complemented
92C2×#381C2211yescharacteristic, complemented
93C2×#380C2211yescharacteristic
94C2×#380C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic, complemented
97C2×#379C2211yescharacteristic
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic, complemented
103#1445C2211yescharacteristic, complemented
104#1445C2211yescharacteristic, complemented
105#1445C2211yescharacteristic, complemented
106#1444C2211yescharacteristic, complemented
107#1444C2211yescharacteristic, complemented
108#1443C2211yescharacteristic, complemented
109#1442C2211yescharacteristic, complemented
110#1442C2211yescharacteristic, complemented
111#1442C2211yescharacteristic, complemented
112#1442C2211yescharacteristic, complemented
113#1442C2211yescharacteristic, 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#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
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, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic, complemented
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181C4⋊#95C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184#1434C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C2×#123—24no—
205C2×#123—24no—
206C2×#123—24no—
207C2×#123—42no—
208C2×#123—42no—
209C2×#123—42no—
210C2×#123—42no—
211C2×#123—42no—
212C2×#123D418yes—
213C2×#121—24no—
214C2×#121—24no—
215C2×#121—42no—
216C2×#120—24no—
217C2×#120—24no—
218C2×#120—24no—
219C2×#120—42no—
220C2×#120—42no—
221C2×#120—42no—
222C2×C4×D4—24no—
223C2×C4×D4—24no—
224C2×C4×D4—42no—
225C22×C4⋊C4—24no—
226C22×C4⋊C4—24no—
227C22×C4⋊C4—42no—
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C22⋊C4—24no—
249C22×C22⋊C4—24no—
250C22×C22⋊C4—42no—
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C42C2311yescharacteristic
305C22×C42C2311yescharacteristic
306C22×C42C2311yescharacteristic
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309#400—24no—
310#400—24no—
311#399—24no—
312#398—24no—
313#398—24no—
314#397—24no—
315#397—24no—
316#397—24no—
317#397—24no—
318#396—24no—
319#396—42no—
320#394—24no—
321#394—24no—
322#394—24no—
323#394—24no—
324#394—24no—
325#394—24no—
326#394—24no—
327#394—42no—
328#394—42no—
329#392—24no—
330#392—24no—
331#390—24no—
332#390—24no—
333#389—24no—
334#389—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—24no—
339#388—24no—
340#388—24no—
341#388—24no—
342#388—42no—
343#388—42no—
344#386—24no—
345#386—24no—
346#386—24no—
347#386—24no—
348#386—24no—
349#386—42no—
350#386—42no—
351#386—42no—
352#386D418yescomplemented
353#385—24no—
354#381—24no—
355#381—24no—
356#381—42no—
357#380—24no—
358#380—24no—
359#380—24no—
360#380—24no—
361#379—24no—
362#379—24no—
363#379—42no—
364#379—42no—
365C4×C22⋊C4—24no—
366C4×C22⋊C4—42no—
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C25—22no—
432C25—22no—
433C25—22no—
434C25—22no—
435C25—22no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25—41no—
440C25—41no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25C2411yescharacteristic
447C25C2411yescharacteristic
448C25C2411yescharacteristic
449C25C2411yescharacteristic
450C25C2411yescharacteristic
451C22×D4—22no—
452C22×D4—22no—
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—22no—
468C22×D4—22no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—41no—
472C22×D4—41no—
473C22×D4—41no—
474C22×D4—41no—
475C22×D4—41no—
476C22×D4—41no—
477C22×D4—41no—
478C22×D4—41no—
479C22×D4—41no—
480C22×D4—41no—
481C22×D4—41no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4—41no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—41no—
494C22×D4—41no—
495C22×D4—41no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4C2×D414yes—
499C22×D4C2×D414yes—
500C23×C4—22no—
501C23×C4—22no—
502C23×C4—22no—
503C23×C4—22no—
504C23×C4—22no—
505C23×C4—22no—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—41no—
517C23×C4—41no—
518C23×C4—41no—
519C23×C4—41no—
520C23×C4—41no—
521C23×C4—41no—
522C23×C4—41no—
523C23×C4—41no—
524C23×C4—41no—
525C23×C4—41no—
526C23×C4—41no—
527C23×C4—41no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—41no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4C2×D414yes—
534C23×C4C2×D414yes—
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561#123—416no—
562#123—416no—
563#123—416no—
564#121—416no—
565#120—416no—
566#120—416no—
567C4×D4—416no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—22no—
589C2×C4⋊C4—22no—
590C2×C4⋊C4—22no—
591C2×C4⋊C4—22no—
592C2×C4⋊C4—22no—
593C2×C4⋊C4—22no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—416no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4—41no—
626C2×C4⋊C4—41no—
627C2×C4⋊C4C2×D414yes—
628C2×C4⋊C4C2×D414yes—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—416no—
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⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4C2×D414yes—
783C2×C22⋊C4C2×D414yes—
784C2×C22⋊C4C2×D414yes—
785C2×C22⋊C4C2×D414yes—
786C2×C22⋊C4C2×D414yes—
787C2×C22⋊C4C2×D414yes—
788C2×C22⋊C4#4114yes—
789C2×C42—22no—
790C2×C42—22no—
791C2×C42—22no—
792C2×C42—22no—
793C2×C42—22no—
794C2×C42—41no—
795C2×C42—41no—
796C2×C42—41no—
797C2×C42—41no—
798C2×C42—41no—
799C2×C42—41no—
800C2×C42—41no—
801C2×C42—41no—
802C2×C42—41no—
803C2×C42—41no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—41no—
834#95—41no—
835#95—41no—
836#95—41no—
837#95—41no—
838#95—41no—
839#95—41no—
840#95—41no—
841#95—41no—
842#95—41no—
843#95—41no—
844#95—41no—
845#95—41no—
846#95—41no—
847#95—41no—
848#95—41no—
849#95—41no—
850#95—41no—
851#95—41no—
852#95—41no—
853#95—41no—
854#95—41no—
855#95—41no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95C2×D414yes—
867#95C2×D414yes—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
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—82no—
949C24—82no—
950C24—82no—
951C24—82no—
952C24—82no—
953C24—82no—
954C24—82no—
955C24—82no—
956C24—82no—
957C24—82no—
958C24—82no—
959C24—82no—
960C24—82no—
961C24—82no—
962C24—82no—
963C24—82no—
964C24—82no—
965C24—82no—
966C24—82no—
967C24—82no—
968C24—82no—
969C24—82no—
970C24C22×D412yes—
971C24C22×D412yes—
972C24C22×D412yes—
973C24C22×D412yes—
974C24C2×#4112yes—
975C24H(5,𝔽2)12yes—
976C24H(5,𝔽2)12yes—
977C24H(5,𝔽2)12yes—
978C24C2511yescharacteristic
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—82no—
1004C2×D4—82no—
1005C2×D4—82no—
1006C2×D4—82no—
1007C2×D4—82no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
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—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—28no—
1094C22×C4—28no—
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—44no—
1201C22×C4—44no—
1202C22×C4—44no—
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—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—82no—
1218C22×C4—82no—
1219C22×C4—82no—
1220C22×C4—82no—
1221C22×C4—82no—
1222C22×C4—82no—
1223C22×C4—82no—
1224C22×C4—82no—
1225C22×C4—82no—
1226C22×C4—82no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4C22×D412yes—
1233C22×C4C22×D412yes—
1234C22×C4C22×D412yes—
1235C22×C4C22×D412yes—
1236C22×C4C22×D412yes—
1237C22×C4C22×D412yes—
1238C22×C4C22×D412yes—
1239C22×C4C22×D412yes—
1240C22×C4C22×D412yes—
1241C22×C4C22×D412yes—
1242C22×C4C2×#4112yes—
1243C22×C4C2×#4112yes—
1244C22×C4H(5,𝔽2)12yes—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—82no—
1260C4⋊C4—82no—
1261C4⋊C4—82no—
1262C4⋊C4—82no—
1263C4⋊C4—82no—
1264C4⋊C4—82no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—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—
1311C22⋊C4—82no—
1312C22⋊C4—82no—
1313C22⋊C4—82no—
1314C22⋊C4—82no—
1315C22⋊C4—82no—
1316C22⋊C4—82no—
1317C22⋊C4—82no—
1318C42—44no—
1319C42—82no—
1320C42—82no—
1321C42—82no—
1322C42—82no—
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—22no—
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—41no—
1405C23—416no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—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#53414yes—
1512C23D4214yes—
1513C23C23×D411yescharacteristic
1514C23C23×D411yescharacteristic
1515C23C22×#4111yescharacteristic
1516C23C2×H(5,𝔽2)11yescharacteristic
1517C23C2×H(5,𝔽2)11yescharacteristic
1518C23C2×H(5,𝔽2)11yescharacteristic
1519C23C2×H(5,𝔽2)11yescharacteristic
1520C23#58511yescharacteristic
1521C23#58511yescharacteristic
1522C23#58511yescharacteristic
1523C23#58511yescharacteristic
1524C23#58511yescharacteristic
1525C23#58511yescharacteristic
1526C23#58511yescharacteristic
1527C23#58511yescharacteristic
1528D4—416no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
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—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—416no—
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—88no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—88no—
1721C2×C4#54614yes—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—42no—
1729C22—42no—
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—832no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
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—
1798C22C2×#53411yescharacteristic
1799C22#344911yescharacteristic
1800C22C2×D4211yescharacteristic
1801C22C2×#54611yescharacteristic
1802C22D4×#4111yescharacteristic
1803C22#348511yescharacteristic
1804C22#348511yescharacteristic
1805C22#348511yescharacteristic
1806C22#348811yescharacteristic
1807C22#348811yescharacteristic
1808C22#348811yescharacteristic
1809C22#349311yescharacteristic
1810C22#349411yescharacteristic
1811C22#350011yescharacteristic
1812C22#350011yescharacteristic
1813C22#351311yescharacteristic
1814C22#351311yescharacteristic
1815C22#352111yescharacteristic
1816C22#353311yescharacteristic
1817C22#353311yescharacteristic
1818C22#353311yescharacteristic
1819C22#353411yescharacteristic
1820C22#353411yescharacteristic
1821C22#353411yescharacteristic
1822C22#353911yescharacteristic
1823C22#354211yescharacteristic
1824C22#354211yescharacteristic
1825C22#354511yescharacteristic
1826C22#354511yescharacteristic
1827C22#355111yescharacteristic
1828C22#356011yescharacteristic
1829C22#356611yescharacteristic
1830C22#356611yescharacteristic
1831C22#356611yescharacteristic
1832C22#356611yescharacteristic
1833C4—24no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
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—
1859C2—44no—
1860C2—44no—
1861C2—82no—
1862C2—82no—
1863C2—161no—
1864C2#3764611yescharacteristic
1865C2#3784611yescharacteristic
1866C2#3842811yescharacteristic
1867C2#3933311yescharacteristic
1868C2#4193311yescharacteristic
1869C2#4198511yescharacteristic
1870C2#4350111yescharacteristic
1871C2#4501011yescharacteristic
1872C2#4689311yescharacteristic
1873C2#4850711yescharacteristic
1874C2#4878411yescharacteristic
1875C2#4883311yescharacteristic
1876C2#5394911yescharacteristic
1877C2#5401911yescharacteristic
1878C2#5899411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2678C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2591C2semidirect
3. C2×#2486C2semidirect
4. C2×#2418C2semidirect
5. #17092C2semidirect
6. #16863C2semidirect
7. #16428C2semidirect
8. #16361C2semidirect
9. #16326C2semidirect
10. #16256C2semidirect
11. #16255C2semidirect
12. #15948C2semidirect
13. #15775C2semidirect
14. #15702C2semidirect
15. #15619C2semidirect
16. #15561C2semidirect
17. #15489C2semidirect
18. #15352C2semidirect
19. #15341C2semidirect
20. #15303C2semidirect
21. #15282C2semidirect
22. #15270C2semidirect
23. #15002C2semidirect
24. #14838C2semidirect
25. #14730C2semidirect
26. #14725C2semidirect
27. #14563C2semidirect
28. #14374C2semidirect
29. #14256C2semidirect
30. #14096C2semidirect
31. #13873C2semidirect
39. C23×C4⋊C4C22semidirect
45. C2×#400C22semidirect
46. C2×#400C22semidirect
48. C2×#398C22semidirect
49. C2×#398C22semidirect
55. C2×#396C22semidirect
64. C2×#394C22semidirect
69. C2×#389C22semidirect
70. C2×#389C22semidirect
78. C2×#388C22semidirect
79. C2×#388C22semidirect
87. C2×#386C22semidirect
88. C2×#386C22semidirect
90. C2×#381C22semidirect
91. C2×#381C22semidirect
92. C2×#381C22semidirect
96. C2×#380C22semidirect
102. C2×C4×C22⋊C4C22semidirect
103. #1445C22semidirect
104. #1445C22semidirect
105. #1445C22semidirect
106. #1444C22semidirect
107. #1444C22semidirect
108. #1443C22semidirect
109. #1442C22semidirect
110. #1442C22semidirect
111. #1442C22semidirect
112. #1442C22semidirect
113. #1442C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1441C22semidirect
117. #1441C22semidirect
118. #1441C22semidirect
119. #1441C22semidirect
120. #1441C22semidirect
121. #1441C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
168. #1438C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. C4⋊#95C22semidirect
182. C4⋊#95C22semidirect
183. #1434C22semidirect
184. #1434C22semidirect
185. #1434C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
352. #386D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26782
C2×#25912
C2×#24862
C2×#24182
#170922
#168632
#164282
#163612
#163262
#162562
#162552
#159482
#157752
#157022
#156192
#155612
#154892
#153522
#153412
#153032
#152822
#152702
#150022
#148382
#147302
#147252
#145632
#143742
#142562
#140962
#138732