Finite Group Databasebeta

← #1072938

Subgroups — #1072938

Order 512.

3367 conjugacy classes of subgroups.

The subgroup lattice has 1995 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2735C211yesmaximal, characteristic, complemented
2C2×#2688C211yesmaximal, characteristic, complemented
3#17161C211yesmaximal, characteristic, complemented
4#17086C211yesmaximal, characteristic, complemented
5#16539C211yesmaximal, characteristic, complemented
6#16341C211yesmaximal, characteristic, complemented
7#16340C211yesmaximal, characteristic, complemented
8#16323C211yesmaximal, characteristic, complemented
9#16319C211yesmaximal, characteristic, complemented
10#16249C211yesmaximal, characteristic, complemented
11#15418C211yesmaximal, characteristic, complemented
12#15399C211yesmaximal, characteristic, complemented
13#15345C211yesmaximal, characteristic, complemented
14#15345C211yesmaximal, characteristic, complemented
15#15257C211yesmaximal, characteristic, complemented
16#15257C211yesmaximal, characteristic, complemented
17#15172C211yesmaximal, characteristic, complemented
18#15169C211yesmaximal, characteristic, complemented
19#14949C211yesmaximal, characteristic, complemented
20#14815C211yesmaximal, characteristic, complemented
21#14754C211yesmaximal, characteristic, complemented
22#14228C211yesmaximal, characteristic, complemented
23#14228C211yesmaximal, characteristic, complemented
24#14195C211yesmaximal, characteristic, complemented
25#14100C211yesmaximal, characteristic, complemented
26#14100C211yesmaximal, characteristic, complemented
27#14007C211yesmaximal, characteristic, complemented
28#13995C211yesmaximal, characteristic, complemented
29#13995C211yesmaximal, characteristic, complemented
30#13995C211yesmaximal, characteristic, complemented
31C4×#397C211yesmaximal, characteristic, complemented
32C22×#121C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38#2735—28no—
39#2688—28no—
40C2×#400C2211yescharacteristic, complemented
41C2×#399C2211yescharacteristic
42C2×#399C2211yescharacteristic, complemented
43C2×#399C2211yescharacteristic, complemented
44C2×#399C2211yescharacteristic, complemented
45C2×#397C2211yescharacteristic
46C2×#397C2211yescharacteristic
47C2×#397C2211yescharacteristic
48C2×#397C2211yescharacteristic, complemented
49C2×#396C2211yescharacteristic
50C2×#396C2211yescharacteristic
51C2×#396C2211yescharacteristic, complemented
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic, complemented
55C2×#394C2211yescharacteristic, complemented
56C2×#392C2211yescharacteristic
57C2×#392C2211yescharacteristic
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic, complemented
64C2×#390C2211yescharacteristic
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#390C2211yescharacteristic
68C2×#390C2211yescharacteristic
69C2×#390C2211yescharacteristic
70C2×#390C2211yescharacteristic, complemented
71C2×#390C2211yescharacteristic, complemented
72C2×#390C2211yescharacteristic, complemented
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic, complemented
80C2×#388C2211yescharacteristic, complemented
81C2×#388C2211yescharacteristic, complemented
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic, complemented
93C2×#386C2211yescharacteristic, complemented
94C2×#385C2211yescharacteristic
95C2×#385C2211yescharacteristic
96C2×#385C2211yescharacteristic
97C2×#385C2211yescharacteristic, complemented
98C2×#381C2211yescharacteristic, complemented
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×C4×C4⋊C4C2211yescharacteristic, complemented
103C2×C4×C22⋊C4C2211yescharacteristic
104C2×C4×C22⋊C4C2211yescharacteristic
105C2×C4×C22⋊C4C2211yescharacteristic
106C2×C4×C22⋊C4C2211yescharacteristic, complemented
107C2×C4×C22⋊C4C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1443C2211yescharacteristic, complemented
113#1443C2211yescharacteristic, complemented
114#1443C2211yescharacteristic, complemented
115#1443C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1442C2211yescharacteristic, complemented
118#1442C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1437C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C2×#121—24no—
207C2×#121—24no—
208C2×#121—24no—
209C2×#121—24no—
210C2×#121—42no—
211C2×#121—42no—
212C2×#120—24no—
213C2×#120—24no—
214C2×#120—24no—
215C2×#120—42no—
216C2×#120—42no—
217C2×#120—42no—
218C2×#120—42no—
219C2×#120—42no—
220C2×#120—42no—
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C22⋊C4—42no—
237C22×C22⋊C4—42no—
238C22×C22⋊C4—42no—
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×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×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302C22×C42C2311yescharacteristic
303C22×C42C2311yescharacteristic
304C22×C42C2311yescharacteristic
305C22×C42C2311yescharacteristic
306#400—24no—
307#399—24no—
308#399—42no—
309#399—42no—
310#399—42no—
311#397—24no—
312#397—24no—
313#397—24no—
314#397D418yescomplemented
315#396—24no—
316#396—24no—
317#396—42no—
318#394—24no—
319#394—24no—
320#394—42no—
321#394—42no—
322#392—24no—
323#392—24no—
324#392—24no—
325#392—24no—
326#392—42no—
327#392—42no—
328#392—42no—
329#392—42no—
330#390—42no—
331#390—42no—
332#390—42no—
333#390—42no—
334#390—42no—
335#390—42no—
336#390—42no—
337#390—42no—
338#390—42no—
339#388—24no—
340#388—24no—
341#388—24no—
342#388—24no—
343#388—24no—
344#388—24no—
345#388—42no—
346#388—42no—
347#388—42no—
348#386—24no—
349#386—24no—
350#386—24no—
351#386—24no—
352#386—24no—
353#386—24no—
354#386—42no—
355#386—42no—
356#386—42no—
357#386—42no—
358#386—42no—
359#386—42no—
360#385—24no—
361#385—42no—
362#385—42no—
363#385—42no—
364#381—24no—
365#379—24no—
366#379—24no—
367#379—24no—
368C4×C4⋊C4—42no—
369C4×C22⋊C4—42no—
370C4×C22⋊C4—42no—
371C4×C22⋊C4—42no—
372C4×C22⋊C4—42no—
373C4×C22⋊C4—42no—
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
430C25—22no—
431C25—22no—
432C25—22no—
433C25—22no—
434C25—22no—
435C25—41no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25—41no—
440C25—41no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25C2411yescharacteristic
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—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
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×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×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4#4114yes—
534C22×D4#4114yes—
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—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588#121—416no—
589#121—416no—
590#120—416no—
591#120—416no—
592#120—416no—
593C2×C4⋊C4—22no—
594C2×C4⋊C4—22no—
595C2×C4⋊C4—22no—
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
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⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4C2×D414yes—
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—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—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—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—416no—
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⋊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⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
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⋊C4C2×D414yes—
813C2×C22⋊C4C2×D414yes—
814C2×C22⋊C4C2×D414yes—
815C2×C22⋊C4#4114yes—
816C2×C42—22no—
817C2×C42—22no—
818C2×C42—22no—
819C2×C42—22no—
820C2×C42—22no—
821C2×C42—22no—
822C2×C42—22no—
823C2×C42—22no—
824C2×C42—22no—
825C2×C42—41no—
826C2×C42—41no—
827C2×C42—41no—
828C2×C42—41no—
829C2×C42—41no—
830C2×C42—41no—
831C2×C42—41no—
832C2×C42—41no—
833C2×C42—41no—
834C2×C42—41no—
835C2×C42—41no—
836C2×C42—41no—
837C2×C42—41no—
838C2×C42—41no—
839C2×C42—41no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—22no—
863#95—22no—
864#95—22no—
865#95—22no—
866#95—22no—
867#95—22no—
868#95—22no—
869#95—22no—
870#95—22no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95—41no—
886#95—41no—
887#95—41no—
888#95—41no—
889#95—41no—
890#95—41no—
891#95—41no—
892#95—41no—
893#95C2×D414yes—
894#95C2×D414yes—
895#95C2×D414yes—
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—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—44no—
980C24—44no—
981C24—44no—
982C24—44no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—44no—
988C24—44no—
989C24—44no—
990C24—44no—
991C24—44no—
992C24—82no—
993C24—82no—
994C24—82no—
995C24—82no—
996C24—82no—
997C24—82no—
998C24—82no—
999C24—82no—
1000C24—82no—
1001C24—82no—
1002C24—82no—
1003C24—82no—
1004C24—82no—
1005C24—82no—
1006C24—82no—
1007C24—82no—
1008C24—82no—
1009C24—82no—
1010C24—82no—
1011C24—82no—
1012C24—82no—
1013C24—82no—
1014C24C22×D412yes—
1015C24C2×#4112yes—
1016C24C2×#4112yes—
1017C24C2×#4112yes—
1018C24C2×#4112yes—
1019C24C2×#4112yes—
1020C24H(5,𝔽2)12yes—
1021C24C2511yescharacteristic
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—82no—
1057C2×D4—82no—
1058C2×D4—82no—
1059C2×D4—82no—
1060C2×D4—82no—
1061C2×D4—82no—
1062C2×D4—82no—
1063C2×D4—82no—
1064C2×D4—82no—
1065C2×D4—82no—
1066C2×D4—82no—
1067C2×D4—82no—
1068C2×D4—82no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—82no—
1073C2×D4—82no—
1074C2×D4—82no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—82no—
1080C2×D4—82no—
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×D4—82no—
1090C2×D4—82no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—82no—
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—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—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—82no—
1275C22×C4—82no—
1276C22×C4—82no—
1277C22×C4—82no—
1278C22×C4—82no—
1279C22×C4—82no—
1280C22×C4—82no—
1281C22×C4—82no—
1282C22×C4—82no—
1283C22×C4—82no—
1284C22×C4—82no—
1285C22×C4—82no—
1286C22×C4—82no—
1287C22×C4—82no—
1288C22×C4—82no—
1289C22×C4—82no—
1290C22×C4—82no—
1291C22×C4—82no—
1292C22×C4C22×D412yes—
1293C22×C4C22×D412yes—
1294C22×C4C22×D412yes—
1295C22×C4C22×D412yes—
1296C22×C4C22×D412yes—
1297C22×C4C22×D412yes—
1298C22×C4C2×#4112yes—
1299C22×C4C2×#4112yes—
1300C22×C4C2×#4112yes—
1301C22×C4C2×#4112yes—
1302C22×C4H(5,𝔽2)12yes—
1303C22×C4H(5,𝔽2)12yes—
1304C22×C4H(5,𝔽2)12yes—
1305C22×C4H(5,𝔽2)12yes—
1306C22×C4H(5,𝔽2)12yes—
1307C22×C4H(5,𝔽2)12yes—
1308C22×C4H(5,𝔽2)12yes—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—82no—
1314C4⋊C4—82no—
1315C4⋊C4—82no—
1316C4⋊C4—82no—
1317C4⋊C4—82no—
1318C4⋊C4—82no—
1319C4⋊C4—82no—
1320C4⋊C4—82no—
1321C4⋊C4—82no—
1322C4⋊C4—82no—
1323C4⋊C4—82no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—82no—
1355C22⋊C4—82no—
1356C22⋊C4—82no—
1357C22⋊C4—82no—
1358C22⋊C4—82no—
1359C22⋊C4—82no—
1360C22⋊C4—82no—
1361C22⋊C4—82no—
1362C22⋊C4—82no—
1363C22⋊C4—82no—
1364C22⋊C4—82no—
1365C22⋊C4—82no—
1366C22⋊C4—82no—
1367C22⋊C4—82no—
1368C22⋊C4—82no—
1369C22⋊C4—82no—
1370C22⋊C4—82no—
1371C22⋊C4—82no—
1372C22⋊C4—82no—
1373C22⋊C4—82no—
1374C22⋊C4—82no—
1375C22⋊C4—82no—
1376C22⋊C4—82no—
1377C22⋊C4—82no—
1378C22⋊C4—82no—
1379C22⋊C4—82no—
1380C22⋊C4—82no—
1381C22⋊C4—82no—
1382C22⋊C4—82no—
1383C42—44no—
1384C42—82no—
1385C42—82no—
1386C42—82no—
1387C42—82no—
1388C42—82no—
1389C42—82no—
1390C42—82no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
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—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—416no—
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—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
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—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—88no—
1602C23—88no—
1603C23—88no—
1604C23—88no—
1605C23—88no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23—88no—
1611C23—88no—
1612C23—88no—
1613C23—88no—
1614C23—88no—
1615C23#54614yes—
1616C23C23×D411yescharacteristic
1617C23C22×#4111yescharacteristic
1618C23C22×#4111yescharacteristic
1619C23C22×#4111yescharacteristic
1620C23C2×H(5,𝔽2)11yescharacteristic
1621C23C2×H(5,𝔽2)11yescharacteristic
1622C23C2×H(5,𝔽2)11yescharacteristic
1623C23C2×H(5,𝔽2)11yescharacteristic
1624C23C2×H(5,𝔽2)11yescharacteristic
1625C23C2×H(5,𝔽2)11yescharacteristic
1626C23C2×H(5,𝔽2)11yescharacteristic
1627C23C2×H(5,𝔽2)11yescharacteristic
1628C23#58511yescharacteristic
1629C23#58511yescharacteristic
1630C23#58511yescharacteristic
1631D4—88no—
1632D4—88no—
1633D4—88no—
1634D4—88no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
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—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—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—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—88no—
1818C2×C4—88no—
1819C2×C4—88no—
1820C2×C4—88no—
1821C2×C4#56014yes—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
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—832no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22—81no—
1894C22—81no—
1895C22—81no—
1896C22—81no—
1897C22—81no—
1898C22—81no—
1899C22—81no—
1900C22—81no—
1901C22—81no—
1902C22—81no—
1903C22—81no—
1904C22—81no—
1905C22—81no—
1906C22—81no—
1907C22—81no—
1908C22—81no—
1909C22—81no—
1910C22—81no—
1911C22—81no—
1912C22—81no—
1913C22#345911yescharacteristic
1914C22#345911yescharacteristic
1915C22#346011yescharacteristic
1916C22C2×#54611yescharacteristic
1917C22D4×#4111yescharacteristic
1918C22D4×#4111yescharacteristic
1919C22#348111yescharacteristic
1920C22#348111yescharacteristic
1921C22#348111yescharacteristic
1922C22#349011yescharacteristic
1923C22#349011yescharacteristic
1924C22#349011yescharacteristic
1925C22#349411yescharacteristic
1926C22#349611yescharacteristic
1927C22#349811yescharacteristic
1928C22#349811yescharacteristic
1929C22#349811yescharacteristic
1930C22#350511yescharacteristic
1931C22#351411yescharacteristic
1932C22#351411yescharacteristic
1933C22#351911yescharacteristic
1934C22#351911yescharacteristic
1935C22C2×#56011yescharacteristic
1936C22#353411yescharacteristic
1937C22#353411yescharacteristic
1938C22#353411yescharacteristic
1939C22#353711yescharacteristic
1940C22#354311yescharacteristic
1941C22#354311yescharacteristic
1942C22#354311yescharacteristic
1943C22#355111yescharacteristic
1944C22#355811yescharacteristic
1945C22#355811yescharacteristic
1946C22#356011yescharacteristic
1947C22#356011yescharacteristic
1948C4—24no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—81no—
1964C4—81no—
1965C4—81no—
1966C4—81no—
1967C4—81no—
1968C4—81no—
1969C4—81no—
1970C4—81no—
1971C4—81no—
1972C4—81no—
1973C2—44no—
1974C2—82no—
1975C2—82no—
1976C2—82no—
1977C2—82no—
1978C2—161no—
1979C2#3941211yescharacteristic
1980C2#3944411yescharacteristic
1981C2#3945711yescharacteristic
1982C2#4092611yescharacteristic
1983C2#4103211yescharacteristic
1984C2#4181611yescharacteristic
1985C2#4336311yescharacteristic
1986C2#4341711yescharacteristic
1987C2#4379711yescharacteristic
1988C2#4599211yescharacteristic
1989C2#5229211yescharacteristic
1990C2#5247111yescharacteristic
1991C2#5980011yescharacteristic
1992C2#5980011yescharacteristic
1993C2#5983911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
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×#2735C2semidirect
2. C2×#2688C2semidirect
3. #17161C2semidirect
4. #17086C2semidirect
5. #16539C2semidirect
6. #16341C2semidirect
7. #16340C2semidirect
8. #16323C2semidirect
9. #16319C2semidirect
10. #16249C2semidirect
11. #15418C2semidirect
12. #15399C2semidirect
13. #15345C2semidirect
14. #15345C2semidirect
15. #15257C2semidirect
16. #15257C2semidirect
17. #15172C2semidirect
18. #15169C2semidirect
19. #14949C2semidirect
20. #14815C2semidirect
21. #14754C2semidirect
22. #14228C2semidirect
23. #14228C2semidirect
24. #14195C2semidirect
25. #14100C2semidirect
26. #14100C2semidirect
27. #14007C2semidirect
28. #13995C2semidirect
29. #13995C2semidirect
30. #13995C2semidirect
31. C4×#397C2semidirect
40. C2×#400C22semidirect
42. C2×#399C22semidirect
43. C2×#399C22semidirect
44. C2×#399C22semidirect
48. C2×#397C22semidirect
51. C2×#396C22semidirect
54. C2×#394C22semidirect
55. C2×#394C22semidirect
63. C2×#392C22semidirect
70. C2×#390C22semidirect
71. C2×#390C22semidirect
72. C2×#390C22semidirect
79. C2×#388C22semidirect
80. C2×#388C22semidirect
81. C2×#388C22semidirect
92. C2×#386C22semidirect
93. C2×#386C22semidirect
97. C2×#385C22semidirect
98. C2×#381C22semidirect
102. C2×C4×C4⋊C4C22semidirect
106. C2×C4×C22⋊C4C22semidirect
107. C2×C4×C22⋊C4C22semidirect
108. #1445C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1444C22semidirect
112. #1443C22semidirect
113. #1443C22semidirect
114. #1443C22semidirect
115. #1443C22semidirect
116. #1442C22semidirect
117. #1442C22semidirect
118. #1442C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1437C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect
314. #397D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27352
C2×#26882
#171612
#170862
#165392
#163412
#163402
#163232
#163192
#162492
#154182
#153992
#153452
#152572
#151722
#151692
#149492
#148152
#147542
#142282
#141952
#141002
#140072
#139952
C4×#3972