Finite Group Databasebeta

← #754819

Subgroups — #754819

Order 512.

4005 conjugacy classes of subgroups.

The subgroup lattice has 2065 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2602C211yesmaximal, characteristic, complemented
2C2×#2534C211yesmaximal, characteristic, complemented
3C2×#2411C211yesmaximal, characteristic, complemented
4C2×#2630C211yesmaximal, characteristic, complemented
5C2×#2392C211yesmaximal, characteristic, complemented
6C2×#2321C211yesmaximal, characteristic, complemented
7#17071C211yesmaximal, characteristic, complemented
8#17015C211yesmaximal, characteristic, complemented
9#16801C211yesmaximal, characteristic, complemented
10#16801C211yesmaximal, characteristic, complemented
11#15561C211yesmaximal, characteristic, complemented
12#15539C211yesmaximal, characteristic, complemented
13#15370C211yesmaximal, characteristic, complemented
14#15370C211yesmaximal, characteristic, complemented
15#15283C211yesmaximal, characteristic, complemented
16#15283C211yesmaximal, characteristic, complemented
17#15283C211yesmaximal, characteristic, complemented
18#15258C211yesmaximal, characteristic
19#15163C211yesmaximal, characteristic, complemented
20#15127C211yesmaximal, characteristic, complemented
21#15084C211yesmaximal, characteristic, complemented
22#14985C211yesmaximal, characteristic, complemented
23#14977C211yesmaximal, characteristic, complemented
24#14870C211yesmaximal, characteristic, complemented
25#14815C211yesmaximal, characteristic, complemented
26#14796C211yesmaximal, characteristic, complemented
27#14231C211yesmaximal, characteristic, complemented
28#14228C211yesmaximal, characteristic, complemented
29#14084C211yesmaximal, characteristic, complemented
30#14025C211yesmaximal, characteristic, complemented
31#13801C211yesmaximal, characteristic, complemented
32C22×#127C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic, complemented
41C22×#117C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43#2630—28no—
44#2602—28no—
45#2534—28no—
46#2411—28no—
47C2×#399C2211yescharacteristic
48C2×#399C2211yescharacteristic
49C2×#399C2211yescharacteristic
50C2×#399C2211yescharacteristic, complemented
51C2×#399C2211yescharacteristic, complemented
52#2392—28no—
53C2×#398C2211yescharacteristic, complemented
54C2×#398C2211yescharacteristic, complemented
55C2×#397C2211yescharacteristic
56C2×#397C2211yescharacteristic
57C2×#397C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#396C2211yescharacteristic
60C2×#396C2211yescharacteristic
61C2×#396C2211yescharacteristic
62C2×#396C2211yescharacteristic, complemented
63C2×#396C2211yescharacteristic, complemented
64C2×#396C2211yescharacteristic, complemented
65C2×#396C2211yescharacteristic, complemented
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic
74C2×#394C2211yescharacteristic
75C2×#394C2211yescharacteristic
76C2×#394C2211yescharacteristic, complemented
77C2×#394C2211yescharacteristic, complemented
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic
81C2×#392C2211yescharacteristic
82C2×#392C2211yescharacteristic
83C2×#392C2211yescharacteristic
84#2321—28no—
85C2×#390C2211yescharacteristic
86C2×#390C2211yescharacteristic
87C2×#390C2211yescharacteristic
88C2×#390C2211yescharacteristic
89C2×#390C2211yescharacteristic
90C2×#390C2211yescharacteristic
91C2×#390C2211yescharacteristic
92C2×#390C2211yescharacteristic, complemented
93C2×#390C2211yescharacteristic, complemented
94C2×#390C2211yescharacteristic, complemented
95C2×#389C2211yescharacteristic, complemented
96C2×#388C2211yescharacteristic
97C2×#388C2211yescharacteristic
98C2×#388C2211yescharacteristic
99C2×#388C2211yescharacteristic
100C2×#388C2211yescharacteristic
101C2×#388C2211yescharacteristic
102C2×#388C2211yescharacteristic
103C2×#388C2211yescharacteristic
104C2×#388C2211yescharacteristic, complemented
105C2×#388C2211yescharacteristic, complemented
106C2×#388C2211yescharacteristic, complemented
107C2×#388C2211yescharacteristic, complemented
108C2×#387C2211yescharacteristic, complemented
109C2×#387C2211yescharacteristic, complemented
110C2×#386C2211yescharacteristic
111C2×#386C2211yescharacteristic
112C2×#386C2211yescharacteristic
113C2×#386C2211yescharacteristic
114C2×#386C2211yescharacteristic
115C2×#386C2211yescharacteristic
116C2×#386C2211yescharacteristic, complemented
117C2×#386C2211yescharacteristic, complemented
118C2×#385C2211yescharacteristic
119C2×#385C2211yescharacteristic
120C2×#385C2211yescharacteristic, complemented
121C2×#385C2211yescharacteristic, complemented
122C2×#381C2211yescharacteristic
123C2×#380C2211yescharacteristic
124C2×#379C2211yescharacteristic
125C2×#379C2211yescharacteristic
126C2×#379C2211yescharacteristic
127C2×C4×C4⋊C4C2211yescharacteristic, complemented
128C2×C4×C4⋊C4C2211yescharacteristic, complemented
129C2×C4×C4⋊C4C2211yescharacteristic, complemented
130C2×C4×C22⋊C4C2211yescharacteristic
131C2×C4×C22⋊C4C2211yescharacteristic, complemented
132C2×C4×C22⋊C4C2211yescharacteristic, complemented
133#1445C2211yescharacteristic, complemented
134#1445C2211yescharacteristic, complemented
135#1445C2211yescharacteristic, complemented
136#1445C2211yescharacteristic, complemented
137#1445C2211yescharacteristic, complemented
138#1445C2211yescharacteristic, complemented
139#1444C2211yescharacteristic, complemented
140#1444C2211yescharacteristic, complemented
141#1444C2211yescharacteristic, complemented
142#1444C2211yescharacteristic, complemented
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#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1438C2211yescharacteristic, complemented
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic
177#1437C2211yescharacteristic
178#1437C2211yescharacteristic
179#1437C2211yescharacteristic
180#1437C2211yescharacteristic
181#1437C2211yescharacteristic, complemented
182#1437C2211yescharacteristic, complemented
183C4⋊#95C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187C4⋊#95C2211yescharacteristic, complemented
188C4⋊#95C2211yescharacteristic, complemented
189#1434C2211yescharacteristic, complemented
190#1434C2211yescharacteristic, complemented
191C4×#95C2211yescharacteristic, complemented
192C4×#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C2×#127—24no—
211C2×#127—42no—
212C2×#127—42no—
213C2×#123—24no—
214C2×#123—24no—
215C2×#123—24no—
216C2×#123—24no—
217C2×#123—42no—
218C2×#123—42no—
219C2×#120—24no—
220C2×#120—24no—
221C2×#120—24no—
222C2×#120—24no—
223C2×#120—24no—
224C2×#120—42no—
225C2×#120—42no—
226C2×#120—42no—
227C2×#120—42no—
228C2×C4×D4—24no—
229C2×C4×D4—24no—
230C2×C4×D4—24no—
231C2×C4×D4—24no—
232C2×C4×D4—24no—
233C2×C4×D4—24no—
234C2×C4×D4—24no—
235C2×C4×D4—42no—
236C2×C4×D4—42no—
237C2×#117—42no—
238C2×#117—42no—
239C2×#117D418yescomplemented
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×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C22⋊C4—24no—
264C22×C22⋊C4—24no—
265C22×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335#399—24no—
336#399—42no—
337#399—42no—
338#399—42no—
339#399—42no—
340#398—24no—
341#398—24no—
342#397—24no—
343#397—24no—
344#397—24no—
345#396—24no—
346#396—24no—
347#396—24no—
348#396—24no—
349#396—24no—
350#396—24no—
351#396—24no—
352#396—24no—
353#394—24no—
354#394—24no—
355#394—24no—
356#394—24no—
357#394—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—24no—
365#392—24no—
366#392—24no—
367#392—24no—
368#392—24no—
369#392—42no—
370#392—42no—
371#390—24no—
372#390—24no—
373#390—24no—
374#390—24no—
375#390—24no—
376#390—24no—
377#390—42no—
378#390—42no—
379#390—42no—
380#390—42no—
381#389—24no—
382#388—24no—
383#388—24no—
384#388—24no—
385#388—24no—
386#388—24no—
387#388—24no—
388#388—24no—
389#388—24no—
390#388—24no—
391#388—24no—
392#388—24no—
393#388—24no—
394#387—24no—
395#387—24no—
396#386—24no—
397#386—24no—
398#386—24no—
399#386—24no—
400#386—24no—
401#386—24no—
402#386—24no—
403#386—24no—
404#385—24no—
405#385—24no—
406#385—24no—
407#385—24no—
408#381—24no—
409#380D418yescomplemented
410#379—24no—
411#379—24no—
412#379—24no—
413C4×C4⋊C4—24no—
414C4×C4⋊C4—42no—
415C4×C4⋊C4—42no—
416C4×C22⋊C4—24no—
417C4×C22⋊C4—24no—
418C4×C22⋊C4D418yescomplemented
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
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C25—22no—
466C25—22no—
467C25—22no—
468C25—22no—
469C25—22no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25C2411yescharacteristic
481C25C2411yescharacteristic
482C25C2411yescharacteristic
483C25C2411yescharacteristic
484C25C2411yescharacteristic
485C25C2411yescharacteristic
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—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4#4114yes—
570C23×C4—22no—
571C23×C4—22no—
572C23×C4—22no—
573C23×C4—22no—
574C23×C4—22no—
575C23×C4—22no—
576C23×C4—22no—
577C23×C4—22no—
578C23×C4—22no—
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×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4C2×D414yes—
596C23×C4C2×D414yes—
597C23×C4C2×D414yes—
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
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623#127—416no—
624#123—416no—
625#123—416no—
626#120—232no—
627#120—416no—
628#120—416no—
629C4×D4—416no—
630C4×D4—416no—
631C4×D4—416no—
632#117—416no—
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—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—22no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—22no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—41no—
698C2×C4⋊C4C2×D414yes—
699C2×C4⋊C4C2×D414yes—
700C2×C4⋊C4C2×D414yes—
701C2×C4⋊C4C2×D414yes—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
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—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—22no—
794C2×C22⋊C4—22no—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—416no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4C2×D414yes—
874C2×C22⋊C4C2×D414yes—
875C2×C22⋊C4C2×D414yes—
876C2×C22⋊C4C2×D414yes—
877C2×C22⋊C4C2×D414yes—
878C2×C22⋊C4C2×D414yes—
879C2×C22⋊C4#4114yes—
880C2×C42—22no—
881C2×C42—22no—
882C2×C42—22no—
883C2×C42—22no—
884C2×C42—22no—
885C2×C42—22no—
886C2×C42—22no—
887C2×C42—22no—
888C2×C42—22no—
889C2×C42—22no—
890C2×C42—22no—
891C2×C42—22no—
892C2×C42—41no—
893C2×C42—41no—
894C2×C42—41no—
895C2×C42—41no—
896C2×C42—41no—
897C2×C42—41no—
898C2×C42—41no—
899C2×C42—41no—
900C2×C42—41no—
901C2×C42—41no—
902C2×C42—41no—
903C2×C42—41no—
904C2×C42—41no—
905C2×C42—41no—
906C2×C42C2×D414yes—
907C2×C42C2×D414yes—
908C2×C42C2×D414yes—
909C2×C42C2×D414yes—
910#95—22no—
911#95—22no—
912#95—22no—
913#95—22no—
914#95—22no—
915#95—22no—
916#95—22no—
917#95—22no—
918#95—22no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—22no—
933#95—22no—
934#95—22no—
935#95—22no—
936#95—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—41no—
945#95—41no—
946#95—41no—
947#95—41no—
948#95—41no—
949#95—41no—
950#95—41no—
951#95—41no—
952#95C2×D414yes—
953#95C2×D414yes—
954#95C2×D414yes—
955#95C2×D414yes—
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—28no—
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—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24—82no—
1054C24—82no—
1055C24—82no—
1056C24—82no—
1057C24—82no—
1058C24—82no—
1059C24—82no—
1060C24—82no—
1061C24—82no—
1062C24—82no—
1063C24—82no—
1064C24—82no—
1065C24—82no—
1066C24—82no—
1067C24—82no—
1068C24—82no—
1069C24—82no—
1070C24—82no—
1071C24—82no—
1072C24—82no—
1073C24—82no—
1074C24C22×D412yes—
1075C24C22×D412yes—
1076C24C22×D412yes—
1077C24C2×#4112yes—
1078C24C2×#4112yes—
1079C24C2×#4112yes—
1080C24H(5,𝔽2)12yes—
1081C24C2511yescharacteristic
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—82no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
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—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—82no—
1333C22×C4—82no—
1334C22×C4—82no—
1335C22×C4—82no—
1336C22×C4—82no—
1337C22×C4—82no—
1338C22×C4—82no—
1339C22×C4—82no—
1340C22×C4—82no—
1341C22×C4—82no—
1342C22×C4—82no—
1343C22×C4—82no—
1344C22×C4#127116yescomplemented
1345C22×C4C22×D412yes—
1346C22×C4C22×D412yes—
1347C22×C4C22×D412yes—
1348C22×C4C22×D412yes—
1349C22×C4C22×D412yes—
1350C22×C4C22×D412yes—
1351C22×C4C22×D412yes—
1352C22×C4C22×D412yes—
1353C22×C4C22×D412yes—
1354C22×C4C22×D412yes—
1355C22×C4C22×D412yes—
1356C22×C4C22×D412yes—
1357C22×C4C22×D412yes—
1358C22×C4C22×D412yes—
1359C22×C4C22×D412yes—
1360C22×C4C22×D412yes—
1361C22×C4C22×D412yes—
1362C22×C4C22×D412yes—
1363C22×C4C2×#4112yes—
1364C22×C4C2×#4112yes—
1365C22×C4C2×#4112yes—
1366C22×C4H(5,𝔽2)12yes—
1367C22×C4H(5,𝔽2)12yes—
1368C22×C4H(5,𝔽2)12yes—
1369C4⋊C4—28no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—82no—
1386C4⋊C4—82no—
1387C4⋊C4—82no—
1388C4⋊C4—82no—
1389C4⋊C4—82no—
1390C4⋊C4—82no—
1391C4⋊C4—82no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—82no—
1434C22⋊C4—82no—
1435C22⋊C4—82no—
1436C22⋊C4—82no—
1437C22⋊C4—82no—
1438C22⋊C4—82no—
1439C22⋊C4—82no—
1440C22⋊C4—82no—
1441C22⋊C4—82no—
1442C22⋊C4—82no—
1443C22⋊C4—82no—
1444C22⋊C4—82no—
1445C22⋊C4—82no—
1446C22⋊C4—82no—
1447C22⋊C4—82no—
1448C22⋊C4—82no—
1449C22⋊C4—82no—
1450C22⋊C4—82no—
1451C42—28no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—82no—
1459C42—82no—
1460C42—82no—
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—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—416no—
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—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—88no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—88no—
1681C23—88no—
1682C23—88no—
1683C23—88no—
1684C23—88no—
1685C23C2×#12714yes—
1686C23C23×D411yescharacteristic
1687C23C23×D411yescharacteristic
1688C23C23×D411yescharacteristic
1689C23C22×#4111yescharacteristic
1690C23C22×#4111yescharacteristic
1691C23C2×H(5,𝔽2)11yescharacteristic
1692C23C2×H(5,𝔽2)11yescharacteristic
1693C23C2×H(5,𝔽2)11yescharacteristic
1694C23C2×H(5,𝔽2)11yescharacteristic
1695C23#58511yescharacteristic
1696C23#58511yescharacteristic
1697C23#58511yescharacteristic
1698C23#58511yescharacteristic
1699C23#58511yescharacteristic
1700C23#58511yescharacteristic
1701D4—416no—
1702D4—416no—
1703D4—416no—
1704D4—88no—
1705D4—88no—
1706D4—88no—
1707D4—88no—
1708D4—88no—
1709D4—88no—
1710D4—88no—
1711D4—88no—
1712D4—88no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—416no—
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—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—88no—
1886C2×C4—88no—
1887C2×C4—88no—
1888C2×C4#52514yes—
1889C2×C4C2×#12714yes—
1890C2×C4C2×#12714yes—
1891C2×C4#53414yes—
1892C22—24no—
1893C22—24no—
1894C22—24no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—832no—
1936C22—81no—
1937C22—81no—
1938C22—81no—
1939C22—81no—
1940C22—81no—
1941C22—81no—
1942C22—81no—
1943C22—81no—
1944C22—81no—
1945C22—81no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22—81no—
1968C22—81no—
1969C22—81no—
1970C22—81no—
1971C22—81no—
1972C22—81no—
1973C22—81no—
1974C22—81no—
1975C22—81no—
1976C22—81no—
1977C22—81no—
1978C22—81no—
1979C22—81no—
1980C22—81no—
1981C22—81no—
1982C22—81no—
1983C22C2×#52511yescharacteristic
1984C22C22×#12711yescharacteristic
1985C22C2×#53411yescharacteristic
1986C22#344911yescharacteristic
1987C22#344911yescharacteristic
1988C22D4×#4111yescharacteristic
1989C22D4×#4111yescharacteristic
1990C22D4×#4111yescharacteristic
1991C22D4×#4111yescharacteristic
1992C22#348411yescharacteristic
1993C22#348711yescharacteristic
1994C22#348811yescharacteristic
1995C22#348811yescharacteristic
1996C22#348811yescharacteristic
1997C22#348811yescharacteristic
1998C22#349011yescharacteristic
1999C22#349111yescharacteristic
2000C22#349611yescharacteristic
2001C22#349611yescharacteristic
2002C22#349611yescharacteristic
2003C22#349611yescharacteristic
2004C22#350811yescharacteristic
2005C22#351011yescharacteristic
2006C22#351311yescharacteristic
2007C22#351311yescharacteristic
2008C22#351411yescharacteristic
2009C22#351411yescharacteristic
2010C22#353311yescharacteristic
2011C22#353411yescharacteristic
2012C22#354611yescharacteristic
2013C22#355111yescharacteristic
2014C22#356011yescharacteristic
2015C22#356211yescharacteristic
2016C22#356611yescharacteristic
2017C22#356611yescharacteristic
2018C4—24no—
2019C4—24no—
2020C4—24no—
2021C4—24no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—81no—
2035C4—81no—
2036C4—81no—
2037C4—81no—
2038C4—81no—
2039C4—81no—
2040C4—81no—
2041C4—81no—
2042C4—81no—
2043C2—44no—
2044C2—82no—
2045C2—82no—
2046C2—82no—
2047C2—82no—
2048C2—161no—
2049C2#3493611yescharacteristic
2050C2#3500111yescharacteristic
2051C2#3556511yescharacteristic
2052C2#3576211yescharacteristic
2053C2#3580811yescharacteristic
2054C2#3836411yescharacteristic
2055C2#3838611yescharacteristic
2056C2#3987211yescharacteristic
2057C2#3988811yescharacteristic
2058C2#4052811yescharacteristic
2059C2#4053411yescharacteristic
2060C2#4304011yescharacteristic
2061C2#4304311yescharacteristic
2062C2#4392511yescharacteristic
2063C2#4392611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15258C2
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×#2602C2semidirect
2. C2×#2534C2semidirect
3. C2×#2411C2semidirect
4. C2×#2630C2semidirect
5. C2×#2392C2semidirect
6. C2×#2321C2semidirect
7. #17071C2semidirect
8. #17015C2semidirect
9. #16801C2semidirect
10. #16801C2semidirect
11. #15561C2semidirect
12. #15539C2semidirect
13. #15370C2semidirect
14. #15370C2semidirect
15. #15283C2semidirect
16. #15283C2semidirect
17. #15283C2semidirect
19. #15163C2semidirect
20. #15127C2semidirect
21. #15084C2semidirect
22. #14985C2semidirect
23. #14977C2semidirect
24. #14870C2semidirect
25. #14815C2semidirect
26. #14796C2semidirect
27. #14231C2semidirect
28. #14228C2semidirect
29. #14084C2semidirect
30. #14025C2semidirect
31. #13801C2semidirect
40. C22×C4×D4C22semidirect
50. C2×#399C22semidirect
51. C2×#399C22semidirect
53. C2×#398C22semidirect
54. C2×#398C22semidirect
62. C2×#396C22semidirect
63. C2×#396C22semidirect
64. C2×#396C22semidirect
65. C2×#396C22semidirect
76. C2×#394C22semidirect
77. C2×#394C22semidirect
92. C2×#390C22semidirect
93. C2×#390C22semidirect
94. C2×#390C22semidirect
95. C2×#389C22semidirect
104. C2×#388C22semidirect
105. C2×#388C22semidirect
106. C2×#388C22semidirect
107. C2×#388C22semidirect
108. C2×#387C22semidirect
109. C2×#387C22semidirect
116. C2×#386C22semidirect
117. C2×#386C22semidirect
120. C2×#385C22semidirect
121. C2×#385C22semidirect
127. C2×C4×C4⋊C4C22semidirect
128. C2×C4×C4⋊C4C22semidirect
129. C2×C4×C4⋊C4C22semidirect
131. C2×C4×C22⋊C4C22semidirect
132. C2×C4×C22⋊C4C22semidirect
133. #1445C22semidirect
134. #1445C22semidirect
135. #1445C22semidirect
136. #1445C22semidirect
137. #1445C22semidirect
138. #1445C22semidirect
139. #1444C22semidirect
140. #1444C22semidirect
141. #1444C22semidirect
142. #1444C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1438C22semidirect
181. #1437C22semidirect
182. #1437C22semidirect
183. C4⋊#95C22semidirect
184. C4⋊#95C22semidirect
185. C4⋊#95C22semidirect
186. C4⋊#95C22semidirect
187. C4⋊#95C22semidirect
188. C4⋊#95C22semidirect
189. #1434C22semidirect
190. #1434C22semidirect
191. C4×#95C22semidirect
192. C4×#95C22semidirect
239. C2×#117D4semidirect
409. #380D4semidirect
418. C4×C22⋊C4D4semidirect
1344. C22×C4#127semidirect

Maximal subgroups

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

subgroupindex
C2×#26022
C2×#25342
C2×#24112
C2×#26302
C2×#23922
C2×#23212
#170712
#170152
#168012
#155612
#155392
#153702
#152832
#152582
#151632
#151272
#150842
#149852
#149772
#148702
#148152
#147962
#142312
#142282
#140842
#140252
#138012