Finite Group Databasebeta

← #533119

Subgroups — #533119

Order 512.

4508 conjugacy classes of subgroups.

The subgroup lattice has 1983 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2424C211yesmaximal, characteristic
2C2×#2363C211yesmaximal, characteristic, complemented
3C2×#2358C211yesmaximal, characteristic, complemented
4C2×#2342C211yesmaximal, characteristic, complemented
5C2×C4×#121C211yesmaximal, characteristic, complemented
6#14571C211yesmaximal, characteristic, complemented
7#14519C211yesmaximal, characteristic, complemented
8#14363C211yesmaximal, characteristic, complemented
9#14357C211yesmaximal, characteristic, complemented
10#14205C211yesmaximal, characteristic, complemented
11#14204C211yesmaximal, characteristic, complemented
12#14204C211yesmaximal, characteristic, complemented
13#14185C211yesmaximal, characteristic, complemented
14#14173C211yesmaximal, characteristic, complemented
15#14171C211yesmaximal, characteristic, complemented
16#14116C211yesmaximal, characteristic, complemented
17#14100C211yesmaximal, characteristic, complemented
18#14084C211yesmaximal, characteristic, complemented
19#14076C211yesmaximal, characteristic, complemented
20#14072C211yesmaximal, characteristic, complemented
21#13995C211yesmaximal, characteristic, complemented
22#13988C211yesmaximal, characteristic, complemented
23#13988C211yesmaximal, characteristic, complemented
24#13983C211yesmaximal, characteristic, complemented
25#13967C211yesmaximal, characteristic, complemented
26#13920C211yesmaximal, characteristic, complemented
27#13824C211yesmaximal, characteristic, complemented
28#13822C211yesmaximal, characteristic, complemented
29C22⋊C42C211yesmaximal, characteristic, complemented
30C4×#386C211yesmaximal, characteristic, complemented
31C4×#386C211yesmaximal, characteristic, complemented
32C22×#121C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic, complemented
41C22×#117C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44C23×C22⋊C4C2211yescharacteristic
45C23×C42C2211yescharacteristic, complemented
46#2424C4116yescomplemented
47C2×#396C2211yescharacteristic
48C2×#394C2211yescharacteristic
49C2×#394C2211yescharacteristic
50C2×#392C2211yescharacteristic
51#2363—28no—
52#2358—28no—
53#2342—28no—
54C4×#121—28no—
55C2×#390C2211yescharacteristic
56C2×#390C2211yescharacteristic
57C2×#390C2211yescharacteristic
58C2×#390C2211yescharacteristic
59C2×#390C2211yescharacteristic
60C2×#390C2211yescharacteristic, complemented
61C2×#389C2211yescharacteristic, complemented
62C2×#389C2211yescharacteristic, complemented
63C2×#389C2211yescharacteristic, complemented
64C2×#389C2211yescharacteristic, complemented
65C2×#388C2211yescharacteristic
66C2×#388C2211yescharacteristic
67C2×#388C2211yescharacteristic
68C2×#388C2211yescharacteristic
69C2×#388C2211yescharacteristic
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic, complemented
73C2×#388C2211yescharacteristic, complemented
74C2×#388C2211yescharacteristic, complemented
75C2×#387C2211yescharacteristic, complemented
76C2×#386C2211yescharacteristic
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic, complemented
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic
94C2×#385C2211yescharacteristic
95C2×#385C2211yescharacteristic
96C2×#385C2211yescharacteristic, complemented
97C2×#381C2211yescharacteristic
98C2×#380C2211yescharacteristic
99C2×#380C2211yescharacteristic, complemented
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×C4×C4⋊C4C2211yescharacteristic, complemented
103C2×C4×C4⋊C4C2211yescharacteristic, complemented
104C2×C4×C22⋊C4C2211yescharacteristic
105C2×C4×C22⋊C4C2211yescharacteristic
106C2×C4×C22⋊C4C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic
109C2×C4×C22⋊C4C2211yescharacteristic
110C2×C4×C22⋊C4C2211yescharacteristic
111C2×C4×C22⋊C4C2211yescharacteristic
112C2×C4×C22⋊C4C2211yescharacteristic
113C2×C4×C22⋊C4C2211yescharacteristic
114C2×C4×C22⋊C4C2211yescharacteristic, complemented
115C2×C4×C22⋊C4C2211yescharacteristic, complemented
116C2×C4×C22⋊C4C2211yescharacteristic, complemented
117C2×C4×C22⋊C4C2211yescharacteristic, complemented
118#1445C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic, complemented
128#1440C2211yescharacteristic, complemented
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1438C2211yescharacteristic
140#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic, complemented
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic
149#1437C2211yescharacteristic
150#1437C2211yescharacteristic
151#1437C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic
155#1437C2211yescharacteristic
156#1437C2211yescharacteristic, complemented
157#1437C2211yescharacteristic, complemented
158#1437C2211yescharacteristic, complemented
159#1437C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164#1436C2211yescharacteristic, complemented
165#1436C2211yescharacteristic, complemented
166#1436C2211yescharacteristic, complemented
167#1436C2211yescharacteristic, complemented
168#1436C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174C4⋊#95C2211yescharacteristic, complemented
175#1434C2211yescharacteristic, complemented
176#1434C2211yescharacteristic, complemented
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C4×#95C2211yescharacteristic, complemented
192C26C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C2×#121—24no—
211C2×#121—24no—
212C2×#121—24no—
213C2×#121—24no—
214C2×#121C2×C418yescomplemented
215C2×#121C2×C418yescomplemented
216C2×#120—24no—
217C2×#120—24no—
218C2×#120—42no—
219C2×#120—42no—
220C2×#120C2×C418yescomplemented
221C2×#120C2×C418yescomplemented
222C2×C4×D4—24no—
223C2×C4×D4—24no—
224C2×C4×D4—24no—
225C2×C4×D4—24no—
226C2×C4×D4—24no—
227C2×C4×D4—24no—
228C2×C4×D4—24no—
229C2×C4×D4—42no—
230C2×C4×D4—42no—
231C2×C4×D4—42no—
232C2×C4×D4—42no—
233C2×C4×D4—42no—
234C2×C4×D4—42no—
235C2×C4×D4—42no—
236C2×C4×D4C2×C418yescomplemented
237C2×#117—24no—
238C2×#117—24no—
239C2×#117—42no—
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×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C22⋊C4—24no—
256C22×C22⋊C4—24no—
257C22×C22⋊C4—24no—
258C22×C22⋊C4—24no—
259C22×C22⋊C4—24no—
260C22×C22⋊C4—24no—
261C22×C22⋊C4—42no—
262C22×C22⋊C4—42no—
263C22×C22⋊C4C2×C418yescomplemented
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×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C42—24no—
313C22×C42—42no—
314C22×C42—42no—
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317C22×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331#396C2×C418yescomplemented
332#394C2×C418yescomplemented
333#394C2×C418yescomplemented
334#392C2×C418yescomplemented
335#390—24no—
336#390—24no—
337#390—24no—
338#390—24no—
339#390—24no—
340#390C2×C418yescomplemented
341#389—24no—
342#389—24no—
343#389—42no—
344#389—42no—
345#388—24no—
346#388—24no—
347#388—24no—
348#388—24no—
349#388—24no—
350#388—24no—
351#388—24no—
352#388—24no—
353#388C2×C418yescomplemented
354#388D418yescomplemented
355#387—42no—
356#386—24no—
357#386—24no—
358#386—24no—
359#386—24no—
360#386—24no—
361#386—24no—
362#386—24no—
363#386—24no—
364#386—24no—
365#386—42no—
366#386—42no—
367#386C2×C418yescomplemented
368#386C2×C418yescomplemented
369#386D418yescomplemented
370#385—24no—
371#385—24no—
372#385—24no—
373#385—24no—
374#385—42no—
375#385—42no—
376#385C2×C418yescomplemented
377#381—24no—
378#380—24no—
379#380—24no—
380#379—24no—
381#379—24no—
382C4×C4⋊C4—24no—
383C4×C4⋊C4—24no—
384C4×C22⋊C4—24no—
385C4×C22⋊C4—24no—
386C4×C22⋊C4—24no—
387C4×C22⋊C4—24no—
388C4×C22⋊C4—24no—
389C4×C22⋊C4—24no—
390C4×C22⋊C4—24no—
391C4×C22⋊C4—24no—
392C4×C22⋊C4—24no—
393C4×C22⋊C4—24no—
394C4×C22⋊C4—24no—
395C4×C22⋊C4—42no—
396C4×C22⋊C4—42no—
397C4×C22⋊C4—42no—
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
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C25—22no—
457C25—22no—
458C25—22no—
459C25—22no—
460C25—22no—
461C25—22no—
462C25—41no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25C22×C414yes—
471C25C2411yescharacteristic
472C25C2411yescharacteristic
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4—41no—
505C22×D4—41no—
506C22×D4—41no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4C22×C414yes—
517C22×D4C22×C414yes—
518C22×D4C22×C414yes—
519C22×D4C22×C414yes—
520C22×D4C22×C414yes—
521C22×D4C22×C414yes—
522C22×D4C22×C414yes—
523C22×D4C2×D414yes—
524C22×D4#4114yes—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—22no—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—22no—
539C23×C4—22no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—22no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—22no—
558C23×C4—22no—
559C23×C4—22no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—41no—
589C23×C4—41no—
590C23×C4—41no—
591C23×C4C22×C414yes—
592C23×C4C22×C414yes—
593C23×C4C22×C414yes—
594C23×C4C2×D414yes—
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621#121—232no—
622#121—232no—
623#120—232no—
624#120—416no—
625C4×D4—416no—
626C4×D4—416no—
627C4×D4—416no—
628C4×D4—416no—
629C4×D4—416no—
630#117—416no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—22no—
643C2×C4⋊C4—22no—
644C2×C4⋊C4—22no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—22no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4—41no—
660C2×C4⋊C4—41no—
661C2×C4⋊C4—41no—
662C2×C4⋊C4—41no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4—41no—
665C2×C4⋊C4—41no—
666C2×C4⋊C4—41no—
667C2×C4⋊C4—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4—41no—
670C2×C4⋊C4—41no—
671C2×C4⋊C4C22×C414yes—
672C2×C4⋊C4C22×C414yes—
673C2×C4⋊C4C22×C414yes—
674C2×C4⋊C4C22×C414yes—
675C2×C4⋊C4C2×D414yes—
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—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—232no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—416no—
753C2×C22⋊C4—416no—
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⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4C22×C414yes—
800C2×C22⋊C4C22×C414yes—
801C2×C22⋊C4C22×C414yes—
802C2×C22⋊C4C22×C414yes—
803C2×C22⋊C4C22×C414yes—
804C2×C22⋊C4C22×C414yes—
805C2×C22⋊C4C22×C414yes—
806C2×C22⋊C4C22×C414yes—
807C2×C22⋊C4C22×C414yes—
808C2×C22⋊C4C22×C414yes—
809C2×C22⋊C4C22×C414yes—
810C2×C22⋊C4C22×C414yes—
811C2×C22⋊C4C22×C414yes—
812C2×C22⋊C4C22×C414yes—
813C2×C22⋊C4C22×C414yes—
814C2×C22⋊C4C2×D414yes—
815C2×C22⋊C4C2×D414yes—
816C2×C22⋊C4C2×D414yes—
817C2×C22⋊C4C2×D414yes—
818C2×C22⋊C4C2×D414yes—
819C2×C22⋊C4C2×D414yes—
820C2×C22⋊C4#4114yes—
821C2×C22⋊C4#4114yes—
822C2×C22⋊C4#4114yes—
823C2×C42—22no—
824C2×C42—22no—
825C2×C42—22no—
826C2×C42—22no—
827C2×C42—22no—
828C2×C42—22no—
829C2×C42—22no—
830C2×C42—22no—
831C2×C42—22no—
832C2×C42—22no—
833C2×C42—22no—
834C2×C42—22no—
835C2×C42—22no—
836C2×C42—22no—
837C2×C42—22no—
838C2×C42—22no—
839C2×C42—22no—
840C2×C42—22no—
841C2×C42—22no—
842C2×C42—22no—
843C2×C42—22no—
844C2×C42—22no—
845C2×C42—22no—
846C2×C42—22no—
847C2×C42—22no—
848C2×C42—416no—
849C2×C42—41no—
850C2×C42—41no—
851C2×C42—41no—
852C2×C42—41no—
853C2×C42—41no—
854C2×C42—41no—
855C2×C42—41no—
856C2×C42—41no—
857C2×C42—41no—
858C2×C42—41no—
859C2×C42—41no—
860C2×C42—41no—
861C2×C42—41no—
862C2×C42—41no—
863C2×C42—41no—
864C2×C42—41no—
865C2×C42—41no—
866C2×C42—41no—
867C2×C42—41no—
868C2×C42—41no—
869C2×C42—41no—
870C2×C42C22×C414yes—
871C2×C42C2×D414yes—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—22no—
881#95—22no—
882#95—22no—
883#95—22no—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95—22no—
890#95—22no—
891#95—22no—
892#95—22no—
893#95—22no—
894#95—22no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95—41no—
915#95—41no—
916#95—41no—
917#95—41no—
918#95—41no—
919#95—41no—
920#95—41no—
921#95—41no—
922#95C22×C414yes—
923#95C22×C414yes—
924#95C22×C414yes—
925#95C22×C414yes—
926#95C2×D414yes—
927#95C2×D414yes—
928#95C2×D414yes—
929#95C2×D414yes—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—28no—
993C24—28no—
994C24—28no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—82no—
1012C24—82no—
1013C24—82no—
1014C24—82no—
1015C24—82no—
1016C24—82no—
1017C24—82no—
1018C24—82no—
1019C24—82no—
1020C24—82no—
1021C24—82no—
1022C24—82no—
1023C24—82no—
1024C24—82no—
1025C24—82no—
1026C24—82no—
1027C24C23×C412yes—
1028C24C23×C412yes—
1029C24C23×C412yes—
1030C24C23×C412yes—
1031C24C23×C412yes—
1032C24C22×D412yes—
1033C24C22×D412yes—
1034C24C22×D412yes—
1035C24C2×#4112yes—
1036C24C2×#4112yes—
1037C24C2×#4112yes—
1038C24C2×#4112yes—
1039C24C2×#4112yes—
1040C24C2511yescharacteristic
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—28no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4C4×D4116yescomplemented
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—28no—
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—28no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—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—82no—
1290C22×C4—82no—
1291C22×C4—82no—
1292C22×C4—82no—
1293C22×C4—82no—
1294C22×C4—82no—
1295C22×C4—82no—
1296C22×C4—82no—
1297C22×C4—82no—
1298C22×C4—82no—
1299C22×C4—82no—
1300C22×C4—82no—
1301C22×C4—82no—
1302C22×C4—82no—
1303C22×C4—82no—
1304C22×C4—82no—
1305C22×C4—82no—
1306C22×C4—82no—
1307C22×C4—82no—
1308C22×C4—82no—
1309C22×C4—82no—
1310C22×C4C23×C412yes—
1311C22×C4C23×C412yes—
1312C22×C4C23×C412yes—
1313C22×C4C23×C412yes—
1314C22×C4C23×C412yes—
1315C22×C4C23×C412yes—
1316C22×C4C23×C412yes—
1317C22×C4C23×C412yes—
1318C22×C4C23×C412yes—
1319C22×C4C23×C412yes—
1320C22×C4C22×D412yes—
1321C22×C4C22×D412yes—
1322C22×C4C22×D412yes—
1323C22×C4C22×D412yes—
1324C22×C4C22×D412yes—
1325C22×C4C22×D412yes—
1326C22×C4C22×D412yes—
1327C22×C4C22×D412yes—
1328C22×C4C22×D412yes—
1329C22×C4C22×D412yes—
1330C22×C4C22×D412yes—
1331C22×C4C2×#4112yes—
1332C22×C4C2×#4112yes—
1333C22×C4C2×#4112yes—
1334C22×C4C2×#4112yes—
1335C22×C4C2×#4112yes—
1336C22×C4C2×#4112yes—
1337C22×C4C2×#4112yes—
1338C22×C4H(5,𝔽2)12yes—
1339C22×C4H(5,𝔽2)12yes—
1340C22×C4H(5,𝔽2)12yes—
1341C22×C4H(5,𝔽2)12yes—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—82no—
1353C4⋊C4—82no—
1354C4⋊C4—82no—
1355C4⋊C4—82no—
1356C4⋊C4—82no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—82no—
1400C22⋊C4—82no—
1401C22⋊C4—82no—
1402C22⋊C4—82no—
1403C22⋊C4—82no—
1404C22⋊C4C4×D4116yescomplemented
1405C42—28no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—82no—
1417C42—82no—
1418C42—82no—
1419C42—82no—
1420C42—82no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—416no—
1501C23—416no—
1502C23—416no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23—88no—
1601C23—88no—
1602C23—88no—
1603C23—88no—
1604C23—88no—
1605C23—88no—
1606C23—88no—
1607C23C2×C4×D414yes—
1608C23C2×C4×D414yes—
1609C23C2×C4×D414yes—
1610C23C4×#4114yes—
1611C23C24×C411yescharacteristic
1612C23C23×D411yescharacteristic
1613C23C23×D411yescharacteristic
1614C23C22×#4111yescharacteristic
1615C23C22×#4111yescharacteristic
1616C23C22×#4111yescharacteristic
1617C23C22×#4111yescharacteristic
1618C23C2×H(5,𝔽2)11yescharacteristic
1619C23C2×H(5,𝔽2)11yescharacteristic
1620C23C2×H(5,𝔽2)11yescharacteristic
1621C23C2×H(5,𝔽2)11yescharacteristic
1622C23#58511yescharacteristic
1623C23#58511yescharacteristic
1624C23#58511yescharacteristic
1625C23#58511yescharacteristic
1626D4—416no—
1627D4—416no—
1628D4—416no—
1629D4—416no—
1630D4—416no—
1631D4—88no—
1632D4—88no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—416no—
1712C2×C4—416no—
1713C2×C4—416no—
1714C2×C4—416no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—88no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4—88no—
1817C2×C4—88no—
1818C2×C4—88no—
1819C2×C4C2×C4×D414yes—
1820C2×C4C2×C4×D414yes—
1821C2×C4C2×C4×D414yes—
1822C2×C4#51814yes—
1823C2×C4D4214yes—
1824C2×C4#54614yes—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—24no—
1831C22—24no—
1832C22—24no—
1833C22—24no—
1834C22—24no—
1835C22—24no—
1836C22—24no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—832no—
1893C22—81no—
1894C22—81no—
1895C22—81no—
1896C22—81no—
1897C22—81no—
1898C22—81no—
1899C22—81no—
1900C22—81no—
1901C22C22×C4×D411yescharacteristic
1902C22C22×C4×D411yescharacteristic
1903C22C2×C4×#4111yescharacteristic
1904C22C2×#51811yescharacteristic
1905C22#342811yescharacteristic
1906C22C4×H(5,𝔽2)11yescharacteristic
1907C22C4×H(5,𝔽2)11yescharacteristic
1908C22C2×D4211yescharacteristic
1909C22C2×#54611yescharacteristic
1910C22D4×#4111yescharacteristic
1911C22D4×#4111yescharacteristic
1912C22D4×#4111yescharacteristic
1913C22D4×#4111yescharacteristic
1914C22D4×#4111yescharacteristic
1915C22#347511yescharacteristic
1916C22#347511yescharacteristic
1917C22#347511yescharacteristic
1918C22#348111yescharacteristic
1919C22#348111yescharacteristic
1920C22#348411yescharacteristic
1921C22#348811yescharacteristic
1922C22#349611yescharacteristic
1923C22#349611yescharacteristic
1924C22#350511yescharacteristic
1925C22#350511yescharacteristic
1926C22#350511yescharacteristic
1927C22#350811yescharacteristic
1928C22#351311yescharacteristic
1929C22#351411yescharacteristic
1930C22#351911yescharacteristic
1931C22#351911yescharacteristic
1932C22#353411yescharacteristic
1933C22#354011yescharacteristic
1934C22#356211yescharacteristic
1935C22#356611yescharacteristic
1936C4—24no—
1937C4—24no—
1938C4—24no—
1939C4—24no—
1940C4—24no—
1941C4—24no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—81no—
1957C4—81no—
1958C4—81no—
1959C4—81no—
1960C4—81no—
1961C4—81no—
1962C2—44no—
1963C2—44no—
1964C2—44no—
1965C2—44no—
1966C2—82no—
1967C2#3413611yescharacteristic
1968C2C4×D4211yescharacteristic
1969C2C4×#54611yescharacteristic
1970C2#3420511yescharacteristic
1971C2#3429011yescharacteristic
1972C2#3432011yescharacteristic
1973C2#3444111yescharacteristic
1974C2#5912311yescharacteristic
1975C2#5912911yescharacteristic
1976C2#5916411yescharacteristic
1977C2#5917911yescharacteristic
1978C2#5952611yescharacteristic
1979C2#5952811yescharacteristic
1980C2#5956811yescharacteristic
1981C2#5957011yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2363C2semidirect
3. C2×#2358C2semidirect
4. C2×#2342C2semidirect
5. C2×C4×#121C2semidirect
6. #14571C2semidirect
7. #14519C2semidirect
8. #14363C2semidirect
9. #14357C2semidirect
10. #14205C2semidirect
11. #14204C2semidirect
12. #14204C2semidirect
13. #14185C2semidirect
14. #14173C2semidirect
15. #14171C2semidirect
16. #14116C2semidirect
17. #14100C2semidirect
18. #14084C2semidirect
19. #14076C2semidirect
20. #14072C2semidirect
21. #13995C2semidirect
22. #13988C2semidirect
23. #13988C2semidirect
24. #13983C2semidirect
25. #13967C2semidirect
26. #13920C2semidirect
27. #13824C2semidirect
28. #13822C2semidirect
29. C22⋊C42C2semidirect
30. C4×#386C2semidirect
31. C4×#386C2semidirect
40. C22×C4×D4C22semidirect
45. C23×C42C22semidirect
46. #2424C4semidirect
60. C2×#390C22semidirect
61. C2×#389C22semidirect
62. C2×#389C22semidirect
63. C2×#389C22semidirect
64. C2×#389C22semidirect
72. C2×#388C22semidirect
73. C2×#388C22semidirect
74. C2×#388C22semidirect
75. C2×#387C22semidirect
89. C2×#386C22semidirect
96. C2×#385C22semidirect
99. C2×#380C22semidirect
102. C2×C4×C4⋊C4C22semidirect
103. C2×C4×C4⋊C4C22semidirect
114. C2×C4×C22⋊C4C22semidirect
115. C2×C4×C22⋊C4C22semidirect
116. C2×C4×C22⋊C4C22semidirect
117. C2×C4×C22⋊C4C22semidirect
118. #1445C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1442C22semidirect
122. #1442C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
127. #1440C22semidirect
128. #1440C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
145. #1438C22semidirect
156. #1437C22semidirect
157. #1437C22semidirect
158. #1437C22semidirect
159. #1437C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. #1436C22semidirect
165. #1436C22semidirect
166. #1436C22semidirect
167. #1436C22semidirect
168. #1436C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. C4⋊#95C22semidirect
175. #1434C22semidirect
176. #1434C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect
189. C4×#95C22semidirect
190. C4×#95C22semidirect
191. C4×#95C22semidirect
214. C2×#121C2×C4semidirect
215. C2×#121C2×C4semidirect
220. C2×#120C2×C4semidirect
221. C2×#120C2×C4semidirect
236. C2×C4×D4C2×C4semidirect
263. C22×C22⋊C4C2×C4semidirect
331. #396C2×C4semidirect
332. #394C2×C4semidirect
333. #394C2×C4semidirect
334. #392C2×C4semidirect
340. #390C2×C4semidirect
353. #388C2×C4semidirect
354. #388D4semidirect
367. #386C2×C4semidirect
368. #386C2×C4semidirect
369. #386D4semidirect
376. #385C2×C4semidirect
1089. C2×D4C4×D4semidirect
1404. C22⋊C4C4×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24242
C2×#23632
C2×#23582
C2×#23422
C2×C4×#1212
#145712
#145192
#143632
#143572
#142052
#142042
#141852
#141732
#141712
#141162
#141002
#140842
#140762
#140722
#139952
#139882
#139832
#139672
#139202
#138242
#138222
C22⋊C422
C4×#3862