Finite Group Databasebeta

← #1423654

Subgroups — #1423654

Order 512.

4828 conjugacy classes of subgroups.

The subgroup lattice has 2238 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2688C211yesmaximal, characteristic, complemented
2C2×#2408C211yesmaximal, characteristic, complemented
3C2×#2410C211yesmaximal, characteristic, complemented
4C2×#2363C211yesmaximal, characteristic, complemented
5#15687C211yesmaximal, characteristic, complemented
6#15679C211yesmaximal, characteristic, complemented
7#15567C211yesmaximal, characteristic, complemented
8#15498C211yesmaximal, characteristic, complemented
9#15320C211yesmaximal, characteristic, complemented
10#15316C211yesmaximal, characteristic, complemented
11#15316C211yesmaximal, characteristic, complemented
12#15297C211yesmaximal, characteristic, complemented
13#15273C211yesmaximal, characteristic, complemented
14#15267C211yesmaximal, characteristic, complemented
15#15267C211yesmaximal, characteristic, complemented
16#15266C211yesmaximal, characteristic, complemented
17#15160C211yesmaximal, characteristic, complemented
18#15107C211yesmaximal, characteristic, complemented
19#14886C211yesmaximal, characteristic, complemented
20#14838C211yesmaximal, characteristic, complemented
21#14811C211yesmaximal, characteristic, complemented
22#14802C211yesmaximal, characteristic, complemented
23#14438C211yesmaximal, characteristic, complemented
24#14417C211yesmaximal, characteristic, complemented
25#14175C211yesmaximal, characteristic, complemented
26#14018C211yesmaximal, characteristic, complemented
27#13995C211yesmaximal, characteristic, complemented
28#13995C211yesmaximal, characteristic, complemented
29#13967C211yesmaximal, characteristic, complemented
30#13868C211yesmaximal, characteristic, complemented
31#13867C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic, complemented
43C22×#117C2211yescharacteristic, complemented
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46#2688—28no—
47#2410—28no—
48#2408—28no—
49C2×#400C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic, complemented
51C2×#397C2211yescharacteristic, complemented
52C2×#396C2211yescharacteristic, complemented
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic, complemented
58C2×#394C2211yescharacteristic, complemented
59C2×#394C2211yescharacteristic, complemented
60C2×#394C2211yescharacteristic, complemented
61C2×#394C2211yescharacteristic, complemented
62C2×#394C2211yescharacteristic, complemented
63C2×#392C2211yescharacteristic
64C2×#392C2211yescharacteristic
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic
67C2×#392C2211yescharacteristic
68C2×#392C2211yescharacteristic, complemented
69C2×#392C2211yescharacteristic, complemented
70C2×#392C2211yescharacteristic, complemented
71C2×#392C2211yescharacteristic, complemented
72#2363—28no—
73C2×#390C2211yescharacteristic
74C2×#390C2211yescharacteristic
75C2×#390C2211yescharacteristic
76C2×#390C2211yescharacteristic
77C2×#390C2211yescharacteristic, complemented
78C2×#390C2211yescharacteristic, complemented
79C2×#390C2211yescharacteristic, complemented
80C2×#390C2211yescharacteristic, complemented
81C2×#389C2211yescharacteristic, complemented
82C2×#389C2211yescharacteristic, complemented
83C2×#388C2211yescharacteristic, complemented
84C2×#388C2211yescharacteristic, complemented
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic, complemented
94C2×#386C2211yescharacteristic, complemented
95C2×#386C2211yescharacteristic, complemented
96C2×#386C2211yescharacteristic, complemented
97C2×#386C2211yescharacteristic, complemented
98C2×#386C2211yescharacteristic, complemented
99C2×#386C2211yescharacteristic, complemented
100C2×#386C2211yescharacteristic, complemented
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#385C2211yescharacteristic
104C2×#385C2211yescharacteristic, complemented
105C2×#385C2211yescharacteristic, complemented
106C2×#385C2211yescharacteristic, complemented
107C2×#381C2211yescharacteristic, complemented
108C2×#380C2211yescharacteristic
109C2×#379C2211yescharacteristic
110C2×#379C2211yescharacteristic
111C2×#379C2211yescharacteristic
112C2×#379C2211yescharacteristic
113C2×#379C2211yescharacteristic
114C2×#379C2211yescharacteristic
115C2×C4×C4⋊C4C2211yescharacteristic, complemented
116C2×C4×C22⋊C4C2211yescharacteristic, complemented
117C2×C4×C22⋊C4C2211yescharacteristic, complemented
118C2×C4×C22⋊C4C2211yescharacteristic, complemented
119#1445C2211yescharacteristic, complemented
120#1445C2211yescharacteristic, complemented
121#1443C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1440C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic, complemented
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178C4⋊#95C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C26C2311yescharacteristic
193C23×D4—24no—
194C23×D4—24no—
195C23×D4—24no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4—42no—
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C24×C4C2311yescharacteristic
218C24×C4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C2×#121—24no—
223C2×#121—24no—
224C2×#121—24no—
225C2×#121—24no—
226C2×#121—24no—
227C2×#121—24no—
228C2×#121—24no—
229C2×#121—42no—
230C2×#121—42no—
231C2×#121—42no—
232C2×#121—42no—
233C2×#121D418yescomplemented
234C2×#120—24no—
235C2×#120—24no—
236C2×#120—24no—
237C2×#120—24no—
238C2×#120—24no—
239C2×#120—24no—
240C2×#120—24no—
241C2×#120—42no—
242C2×#120—42no—
243C2×#120—42no—
244C2×#120—42no—
245C2×#120—42no—
246C2×C4×D4—24no—
247C2×C4×D4—24no—
248C2×C4×D4—42no—
249C2×C4×D4—42no—
250C2×C4×D4—42no—
251C2×C4×D4—42no—
252C2×#117—24no—
253C2×#117—42no—
254C2×#117—42no—
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×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C22⋊C4—24no—
269C22×C22⋊C4—24no—
270C22×C22⋊C4—42no—
271C22×C22⋊C4—42no—
272C22×C22⋊C4—42no—
273C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342#400—24no—
343#397—24no—
344#397—24no—
345#396—42no—
346#394—24no—
347#394—24no—
348#394—24no—
349#394—24no—
350#394—24no—
351#394—42no—
352#394—42no—
353#394—42no—
354#394—42no—
355#394—42no—
356#392—24no—
357#392—24no—
358#392—24no—
359#392—24no—
360#392—24no—
361#392—24no—
362#392—24no—
363#392—42no—
364#392—42no—
365#390—24no—
366#390—24no—
367#390—24no—
368#390—24no—
369#390—42no—
370#390—42no—
371#390—42no—
372#390D418yescomplemented
373#389—24no—
374#389—42no—
375#388—24no—
376#388—24no—
377#386—24no—
378#386—24no—
379#386—24no—
380#386—24no—
381#386—24no—
382#386—24no—
383#386—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#386—42no—
388#386—42no—
389#386—42no—
390#386—42no—
391#386—42no—
392#386—42no—
393#386—42no—
394#386—42no—
395#385—24no—
396#385—24no—
397#385—42no—
398#385—42no—
399#381—24no—
400#380—24no—
401#379—24no—
402#379—24no—
403#379—24no—
404#379—42no—
405#379—42no—
406#379—42no—
407C4×C4⋊C4—24no—
408C4×C22⋊C4—24no—
409C4×C22⋊C4—24no—
410C4×C22⋊C4—24no—
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
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C25—22no—
462C25—22no—
463C25—22no—
464C25—22no—
465C25—22no—
466C25—22no—
467C25—22no—
468C25—22no—
469C25—22no—
470C25—22no—
471C25—22no—
472C25—22no—
473C25—22no—
474C25—22no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25—41no—
486C25—41no—
487C25—41no—
488C25—41no—
489C25—41no—
490C25—41no—
491C25C2411yescharacteristic
492C25C2411yescharacteristic
493C25C2411yescharacteristic
494C25C2411yescharacteristic
495C25C2411yescharacteristic
496C25C2411yescharacteristic
497C25C2411yescharacteristic
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—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
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—416no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—416no—
599C22×D4—416no—
600C22×D4—416no—
601C22×D4—416no—
602C22×D4—416no—
603C22×D4—416no—
604C22×D4C2×D414yes—
605C22×D4C2×D414yes—
606C22×D4C2×D414yes—
607C22×D4C2×D414yes—
608C22×D4#4114yes—
609C22×D4#4114yes—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—22no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—41no—
631C23×C4—41no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—41no—
651C23×C4—41no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4C2×D414yes—
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683#121—232no—
684#121—416no—
685#121—416no—
686#121—416no—
687#120—416no—
688#120—416no—
689#120—416no—
690#120—416no—
691C4×D4—416no—
692C4×D4—416no—
693#117—416no—
694C2×C4⋊C4—22no—
695C2×C4⋊C4—22no—
696C2×C4⋊C4—22no—
697C2×C4⋊C4—22no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—22no—
700C2×C4⋊C4—22no—
701C2×C4⋊C4—22no—
702C2×C4⋊C4—22no—
703C2×C4⋊C4—22no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—22no—
709C2×C4⋊C4—22no—
710C2×C4⋊C4—22no—
711C2×C4⋊C4—22no—
712C2×C4⋊C4—22no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4—41no—
723C2×C4⋊C4—41no—
724C2×C4⋊C4—41no—
725C2×C4⋊C4—41no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4—41no—
728C2×C4⋊C4—41no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4—41no—
731C2×C4⋊C4C2×D414yes—
732C2×C4⋊C4C2×D414yes—
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—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—416no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
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—416no—
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⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4C2×D414yes—
915C2×C22⋊C4C2×D414yes—
916C2×C22⋊C4C2×D414yes—
917C2×C22⋊C4C2×D414yes—
918C2×C22⋊C4C2×D414yes—
919C2×C22⋊C4C2×D414yes—
920C2×C22⋊C4#4114yes—
921C2×C42—22no—
922C2×C42—22no—
923C2×C42—22no—
924C2×C42—22no—
925C2×C42—22no—
926C2×C42—22no—
927C2×C42—22no—
928C2×C42—22no—
929C2×C42—41no—
930C2×C42—41no—
931C2×C42—41no—
932C2×C42—41no—
933C2×C42—41no—
934C2×C42—41no—
935C2×C42—41no—
936C2×C42—41no—
937C2×C42—41no—
938C2×C42C2×D414yes—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—22no—
955#95—22no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—22no—
960#95—22no—
961#95—22no—
962#95—22no—
963#95—22no—
964#95—22no—
965#95—22no—
966#95—22no—
967#95—41no—
968#95—41no—
969#95—41no—
970#95—41no—
971#95—41no—
972#95—41no—
973#95—41no—
974#95—41no—
975#95—41no—
976#95—41no—
977#95—41no—
978#95—41no—
979#95—41no—
980#95—41no—
981#95—41no—
982#95—41no—
983#95—41no—
984#95—41no—
985#95—41no—
986#95—41no—
987#95—41no—
988#95—41no—
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—28no—
1026C24—28no—
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—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—82no—
1116C24—82no—
1117C24—82no—
1118C24—82no—
1119C24—82no—
1120C24—82no—
1121C24—82no—
1122C24—82no—
1123C24—82no—
1124C24—82no—
1125C24—82no—
1126C24—82no—
1127C24—82no—
1128C24—82no—
1129C24—82no—
1130C24—82no—
1131C24—82no—
1132C24—82no—
1133C24—82no—
1134C24—82no—
1135C24—82no—
1136C24—82no—
1137C24—82no—
1138C24—82no—
1139C24—82no—
1140C24—82no—
1141C24—82no—
1142C24—82no—
1143C24—82no—
1144C24—82no—
1145C24—82no—
1146C24—82no—
1147C24—82no—
1148C24—82no—
1149C24—82no—
1150C24—82no—
1151C24C22×D412yes—
1152C24C22×D412yes—
1153C24C22×D412yes—
1154C24C22×D412yes—
1155C24C22×D412yes—
1156C24C2×#4112yes—
1157C24C2×#4112yes—
1158C24C2×#4112yes—
1159C24C2×#4112yes—
1160C24C2×#4112yes—
1161C24H(5,𝔽2)12yes—
1162C24H(5,𝔽2)12yes—
1163C24H(5,𝔽2)12yes—
1164C24C2511yescharacteristic
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—4128no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4—82no—
1257C2×D4—82no—
1258C2×D4—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—82no—
1266C2×D4—82no—
1267C2×D4—82no—
1268C2×D4—82no—
1269C2×D4—82no—
1270C2×D4#121116yes—
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—28no—
1284C22×C4—28no—
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—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—28no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
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—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—82no—
1447C22×C4—82no—
1448C22×C4—82no—
1449C22×C4—82no—
1450C22×C4—82no—
1451C22×C4—82no—
1452C22×C4—82no—
1453C22×C4—82no—
1454C22×C4—82no—
1455C22×C4—82no—
1456C22×C4—82no—
1457C22×C4—82no—
1458C22×C4—82no—
1459C22×C4—82no—
1460C22×C4—82no—
1461C22×C4—82no—
1462C22×C4—82no—
1463C22×C4—82no—
1464C22×C4—82no—
1465C22×C4—82no—
1466C22×C4—82no—
1467C22×C4—82no—
1468C22×C4—82no—
1469C22×C4—82no—
1470C22×C4C22×D412yes—
1471C22×C4C22×D412yes—
1472C22×C4C22×D412yes—
1473C22×C4C22×D412yes—
1474C22×C4C22×D412yes—
1475C22×C4C22×D412yes—
1476C22×C4C22×D412yes—
1477C22×C4C22×D412yes—
1478C22×C4C22×D412yes—
1479C22×C4C2×#4112yes—
1480C22×C4C2×#4112yes—
1481C22×C4C2×#4112yes—
1482C22×C4C2×#4112yes—
1483C22×C4H(5,𝔽2)12yes—
1484C22×C4H(5,𝔽2)12yes—
1485C22×C4H(5,𝔽2)12yes—
1486C22×C4H(5,𝔽2)12yes—
1487C22×C4H(5,𝔽2)12yes—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—82no—
1497C4⋊C4—82no—
1498C4⋊C4—82no—
1499C4⋊C4—82no—
1500C4⋊C4—82no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—82no—
1538C22⋊C4—82no—
1539C22⋊C4—82no—
1540C22⋊C4—82no—
1541C22⋊C4—82no—
1542C22⋊C4—82no—
1543C22⋊C4—82no—
1544C22⋊C4—82no—
1545C22⋊C4—82no—
1546C22⋊C4—82no—
1547C22⋊C4—82no—
1548C22⋊C4—82no—
1549C22⋊C4—82no—
1550C22⋊C4—82no—
1551C22⋊C4—82no—
1552C22⋊C4—82no—
1553C22⋊C4—82no—
1554C22⋊C4—82no—
1555C22⋊C4—82no—
1556C22⋊C4—82no—
1557C22⋊C4—82no—
1558C22⋊C4—82no—
1559C22⋊C4—82no—
1560C22⋊C4—82no—
1561C22⋊C4—82no—
1562C22⋊C4—82no—
1563C42—44no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—82no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—416no—
1652C23—416no—
1653C23—416no—
1654C23—416no—
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—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—41no—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—41no—
1796C23—41no—
1797C23—41no—
1798C23—41no—
1799C23—41no—
1800C23—41no—
1801C23—41no—
1802C23—41no—
1803C23—41no—
1804C23—41no—
1805C23—41no—
1806C23—41no—
1807C23—41no—
1808C23—41no—
1809C23—41no—
1810C23—41no—
1811C23—41no—
1812C23—41no—
1813C23—41no—
1814C23—41no—
1815C23—88no—
1816C23—88no—
1817C23—88no—
1818C23—88no—
1819C23—88no—
1820C23—88no—
1821C23—88no—
1822C23—88no—
1823C23—88no—
1824C23—88no—
1825C23—88no—
1826C23—88no—
1827C23—88no—
1828C23—88no—
1829C23—88no—
1830C23—88no—
1831C23—88no—
1832C23—88no—
1833C23—88no—
1834C23—88no—
1835C23—88no—
1836C23—88no—
1837C23—88no—
1838C23—88no—
1839C23—88no—
1840C23—88no—
1841C23C2×#12114yes—
1842C23C2×#12114yes—
1843C23#55314yes—
1844C23C23×D411yescharacteristic
1845C23C23×D411yescharacteristic
1846C23C22×#4111yescharacteristic
1847C23C22×#4111yescharacteristic
1848C23C22×#4111yescharacteristic
1849C23C2×H(5,𝔽2)11yescharacteristic
1850C23C2×H(5,𝔽2)11yescharacteristic
1851C23C2×H(5,𝔽2)11yescharacteristic
1852C23C2×H(5,𝔽2)11yescharacteristic
1853C23C2×H(5,𝔽2)11yescharacteristic
1854C23C2×H(5,𝔽2)11yescharacteristic
1855C23C2×H(5,𝔽2)11yescharacteristic
1856C23C2×H(5,𝔽2)11yescharacteristic
1857C23#58511yescharacteristic
1858C23#58511yescharacteristic
1859D4—416no—
1860D4—416no—
1861D4—416no—
1862D4—416no—
1863D4—416no—
1864D4—416no—
1865D4—88no—
1866D4—88no—
1867D4—88no—
1868D4—88no—
1869D4—88no—
1870D4—88no—
1871D4—88no—
1872D4—88no—
1873D4—88no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—416no—
1920C2×C4—416no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—41no—
2028C2×C4—41no—
2029C2×C4—41no—
2030C2×C4—41no—
2031C2×C4—41no—
2032C2×C4—41no—
2033C2×C4—41no—
2034C2×C4—41no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—41no—
2038C2×C4—41no—
2039C2×C4—41no—
2040C2×C4—41no—
2041C2×C4—88no—
2042C2×C4—88no—
2043C2×C4—88no—
2044C2×C4—88no—
2045C2×C4—88no—
2046C2×C4C2×#12114yes—
2047C2×C4#54614yes—
2048C2×C4#54614yes—
2049C22—24no—
2050C22—24no—
2051C22—24no—
2052C22—24no—
2053C22—24no—
2054C22—24no—
2055C22—24no—
2056C22—24no—
2057C22—24no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—832no—
2123C22—832no—
2124C22—81no—
2125C22—81no—
2126C22—81no—
2127C22—81no—
2128C22—81no—
2129C22—81no—
2130C22—81no—
2131C22—81no—
2132C22—81no—
2133C22—81no—
2134C22—81no—
2135C22—81no—
2136C22—81no—
2137C22—81no—
2138C22—81no—
2139C22—81no—
2140C22—81no—
2141C22—81no—
2142C22—81no—
2143C22—81no—
2144C22—81no—
2145C22—81no—
2146C22—81no—
2147C22—81no—
2148C22—81no—
2149C22—81no—
2150C22—81no—
2151C22—81no—
2152C22—81no—
2153C22—81no—
2154C22—81no—
2155C22—81no—
2156C22C22×#12111yescharacteristic
2157C22C2×#54611yescharacteristic
2158C22C2×#54611yescharacteristic
2159C22D4×#4111yescharacteristic
2160C22D4×#4111yescharacteristic
2161C22C2×#55311yescharacteristic
2162C22#348111yescharacteristic
2163C22#348111yescharacteristic
2164C22#348411yescharacteristic
2165C22#348411yescharacteristic
2166C22#348411yescharacteristic
2167C22#348411yescharacteristic
2168C22#348411yescharacteristic
2169C22#348811yescharacteristic
2170C22#349011yescharacteristic
2171C22#349011yescharacteristic
2172C22#349411yescharacteristic
2173C22#349611yescharacteristic
2174C22#349811yescharacteristic
2175C22#350511yescharacteristic
2176C22#351311yescharacteristic
2177C22#351411yescharacteristic
2178C22#351911yescharacteristic
2179C22#351911yescharacteristic
2180C22#351911yescharacteristic
2181C22#351911yescharacteristic
2182C22#353211yescharacteristic
2183C22#353411yescharacteristic
2184C22#354211yescharacteristic
2185C22#354211yescharacteristic
2186C22#354311yescharacteristic
2187C22#354311yescharacteristic
2188C22#354311yescharacteristic
2189C22#354511yescharacteristic
2190C22#355811yescharacteristic
2191C4—24no—
2192C4—24no—
2193C4—24no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C4—81no—
2204C4—81no—
2205C4—81no—
2206C4—81no—
2207C4—81no—
2208C4—81no—
2209C4—81no—
2210C4—81no—
2211C4—81no—
2212C4—81no—
2213C4—81no—
2214C4—81no—
2215C2—44no—
2216C2—44no—
2217C2—44no—
2218C2—82no—
2219C2—82no—
2220C2—82no—
2221C2—82no—
2222C2#3534811yescharacteristic
2223C2#3621411yescharacteristic
2224C2#3625811yescharacteristic
2225C2#4303811yescharacteristic
2226C2#4341711yescharacteristic
2227C2#4342111yescharacteristic
2228C2#4443311yescharacteristic
2229C2#4487211yescharacteristic
2230C2#4493611yescharacteristic
2231C2#4785311yescharacteristic
2232C2#4811411yescharacteristic
2233C2#5188911yescharacteristic
2234C2#5902811yescharacteristic
2235C2#5914211yescharacteristic
2236C2#5938411yescharacteristic
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×#2688C2semidirect
2. C2×#2408C2semidirect
3. C2×#2410C2semidirect
4. C2×#2363C2semidirect
5. #15687C2semidirect
6. #15679C2semidirect
7. #15567C2semidirect
8. #15498C2semidirect
9. #15320C2semidirect
10. #15316C2semidirect
11. #15316C2semidirect
12. #15297C2semidirect
13. #15273C2semidirect
14. #15267C2semidirect
15. #15267C2semidirect
16. #15266C2semidirect
17. #15160C2semidirect
18. #15107C2semidirect
19. #14886C2semidirect
20. #14838C2semidirect
21. #14811C2semidirect
22. #14802C2semidirect
23. #14438C2semidirect
24. #14417C2semidirect
25. #14175C2semidirect
26. #14018C2semidirect
27. #13995C2semidirect
28. #13995C2semidirect
29. #13967C2semidirect
30. #13868C2semidirect
31. #13867C2semidirect
42. C22×C4×D4C22semidirect
43. C22×#117C22semidirect
49. C2×#400C22semidirect
50. C2×#397C22semidirect
51. C2×#397C22semidirect
52. C2×#396C22semidirect
57. C2×#394C22semidirect
58. C2×#394C22semidirect
59. C2×#394C22semidirect
60. C2×#394C22semidirect
61. C2×#394C22semidirect
62. C2×#394C22semidirect
68. C2×#392C22semidirect
69. C2×#392C22semidirect
70. C2×#392C22semidirect
71. C2×#392C22semidirect
77. C2×#390C22semidirect
78. C2×#390C22semidirect
79. C2×#390C22semidirect
80. C2×#390C22semidirect
81. C2×#389C22semidirect
82. C2×#389C22semidirect
83. C2×#388C22semidirect
84. C2×#388C22semidirect
93. C2×#386C22semidirect
94. C2×#386C22semidirect
95. C2×#386C22semidirect
96. C2×#386C22semidirect
97. C2×#386C22semidirect
98. C2×#386C22semidirect
99. C2×#386C22semidirect
100. C2×#386C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
104. C2×#385C22semidirect
105. C2×#385C22semidirect
106. C2×#385C22semidirect
107. C2×#381C22semidirect
115. C2×C4×C4⋊C4C22semidirect
116. C2×C4×C22⋊C4C22semidirect
117. C2×C4×C22⋊C4C22semidirect
118. C2×C4×C22⋊C4C22semidirect
119. #1445C22semidirect
120. #1445C22semidirect
121. #1443C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
161. #1438C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. C4⋊#95C22semidirect
179. C4⋊#95C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
233. C2×#121D4semidirect
372. #390D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26882
C2×#24082
C2×#24102
C2×#23632
#156872
#156792
#155672
#154982
#153202
#153162
#152972
#152732
#152672
#152662
#151602
#151072
#148862
#148382
#148112
#148022
#144382
#144172
#141752
#140182
#139952
#139672
#138682
#138672