Finite Group Databasebeta

← #773135

Subgroups — #773135

Order 512.

6040 conjugacy classes of subgroups.

The subgroup lattice has 2192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#546C211yesmaximal, characteristic
2C2×#2419C211yesmaximal, characteristic, complemented
3C2×#2443C211yesmaximal, characteristic, complemented
4C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
5#16365C211yesmaximal, characteristic, complemented
6#16255C211yesmaximal, characteristic, complemented
7#16032C211yesmaximal, characteristic, complemented
8#15983C211yesmaximal, characteristic, complemented
9#15784C211yesmaximal, characteristic, complemented
10#15464C211yesmaximal, characteristic, complemented
11#15340C211yesmaximal, characteristic, complemented
12#15338C211yesmaximal, characteristic, complemented
13#15312C211yesmaximal, characteristic, complemented
14#15260C211yesmaximal, characteristic, complemented
15#15001C211yesmaximal, characteristic, complemented
16#14918C211yesmaximal, characteristic, complemented
17#14911C211yesmaximal, characteristic, complemented
18#14825C211yesmaximal, characteristic, complemented
19#14727C211yesmaximal, characteristic, complemented
20#14725C211yesmaximal, characteristic, complemented
21#14718C211yesmaximal, characteristic, complemented
22#14173C211yesmaximal, characteristic, complemented
23#14127C211yesmaximal, characteristic, complemented
24#14023C211yesmaximal, characteristic, complemented
25#14015C211yesmaximal, characteristic, complemented
26#13975C211yesmaximal, characteristic, complemented
27#13968C211yesmaximal, characteristic, complemented
28#13956C211yesmaximal, characteristic, complemented
29#13956C211yesmaximal, characteristic, complemented
30#13867C211yesmaximal, characteristic, complemented
31C2×#1439C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C24×D4C2211yescharacteristic
34C2×#546—28no—
35C2×#546—28no—
36C2×#546—28no—
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic, complemented
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57#2443—28no—
58#2419—28no—
59C2×#400C2211yescharacteristic, complemented
60C2×#399C2211yescharacteristic, complemented
61C2×#398C2211yescharacteristic, complemented
62C2×#398C2211yescharacteristic, complemented
63C2×#397C2211yescharacteristic, complemented
64C2×#397C2211yescharacteristic, complemented
65C2×#397C2211yescharacteristic, complemented
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic, complemented
68C2×#394C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic, complemented
70C2×#394C2211yescharacteristic, complemented
71D4×C22⋊C4—28no—
72C2×#390C2211yescharacteristic
73C2×#390C2211yescharacteristic
74C2×#388C2211yescharacteristic, complemented
75C2×#387C2211yescharacteristic, complemented
76C2×#387C2211yescharacteristic, complemented
77C2×#387C2211yescharacteristic, complemented
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic, complemented
87C2×#386C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic, complemented
89C2×#386C2211yescharacteristic, complemented
90C2×#386C2211yescharacteristic, complemented
91C2×#385C2211yescharacteristic, complemented
92C2×#385C2211yescharacteristic, complemented
93C2×#385C2211yescharacteristic, complemented
94C2×#385C2211yescharacteristic, complemented
95C2×#385C2211yescharacteristic, complemented
96C2×#385C2211yescharacteristic, complemented
97C2×#385C2211yescharacteristic, complemented
98C2×#381C2211yescharacteristic, complemented
99C2×#381C2211yescharacteristic, complemented
100C2×#381C2211yescharacteristic, complemented
101C2×#380C2211yescharacteristic
102C2×#380C2211yescharacteristic, complemented
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×#379C2211yescharacteristic
107C2×#379C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic
109C22×#95C2211yescharacteristic, complemented
110C22×#95C2211yescharacteristic, complemented
111C22×#95C2211yescharacteristic, complemented
112#1446C2211yescharacteristic, complemented
113#1446C2211yescharacteristic, complemented
114#1446C2211yescharacteristic, complemented
115#1446C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1441C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic, complemented
127#1440C2211yescharacteristic, 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
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
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#1439C2211yescharacteristic, complemented
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1437C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic, complemented
179C22⋊#95C2211yescharacteristic, complemented
180C22⋊#95C2211yescharacteristic, complemented
181C22⋊#95C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C26C2311yescharacteristic
195C22×#41—24no—
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—24no—
200C22×#41—42no—
201C22×#41—42no—
202C23×Q8C2311yescharacteristic
203C23×D4—24no—
204C23×D4—24no—
205C23×D4—24no—
206C23×D4—24no—
207C23×D4—42no—
208C23×D4—42no—
209C23×D4D418yes—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231#546—2128no—
232C2×#124—24no—
233C2×#124—24no—
234C2×#124—24no—
235C2×#123—24no—
236C2×#123—24no—
237C2×#123—24no—
238C2×#123—24no—
239C2×#123—24no—
240C2×#123—24no—
241C2×#123—42no—
242C2×#123—42no—
243C2×#123D418yes—
244C2×C22⋊Q8—24no—
245C2×C22⋊Q8—24no—
246C2×C22⋊Q8—24no—
247C2×#121—24no—
248C2×#121—24no—
249C2×#121—24no—
250C2×#121—24no—
251C2×#121—24no—
252C2×#121—24no—
253C2×#121—24no—
254C2×#121—24no—
255C2×#121D418yes—
256C2×#120—24no—
257C2×#120—24no—
258C2×#120—24no—
259C2×#120—24no—
260C2×#120—24no—
261C2×#120—24no—
262C2×C4×D4—24no—
263C2×C4×D4—24no—
264C2×C4×D4—24no—
265C2×C4×D4—24no—
266C2×C4×D4—24no—
267C2×C4×D4—24no—
268C2×C4×D4—24no—
269C2×C4×D4—24no—
270C2×C4×D4—24no—
271C2×C4×D4—24no—
272C2×C4×D4—42no—
273C2×C4×D4—42no—
274C22×C4⋊C4—24no—
275C22×C4⋊C4—42no—
276C22×C4⋊C4—42no—
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C22⋊C4—24no—
294C22×C22⋊C4—24no—
295C22×C22⋊C4—24no—
296C22×C22⋊C4—24no—
297C22×C22⋊C4—24no—
298C22×C22⋊C4—24no—
299C22×C22⋊C4—24no—
300C22×C22⋊C4—24no—
301C22×C22⋊C4—24no—
302C22×C22⋊C4—42no—
303C22×C22⋊C4—42no—
304C22×C22⋊C4—42no—
305C22×C22⋊C4—42no—
306C22×C22⋊C4—42no—
307C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365#400—24no—
366#399—24no—
367#398—24no—
368#398—24no—
369#397—24no—
370#397—24no—
371#397—24no—
372#394—24no—
373#394—24no—
374#394—42no—
375#394—42no—
376#394—42no—
377#390—24no—
378#390—24no—
379#388—24no—
380#387—24no—
381#387—24no—
382#387—24no—
383#386—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#386—24no—
388#386—24no—
389#386—24no—
390#386—24no—
391#386—24no—
392#386—24no—
393#386—42no—
394#386—42no—
395#386—42no—
396#385—24no—
397#385—24no—
398#385—24no—
399#385—24no—
400#385—42no—
401#385—42no—
402#385—42no—
403#381—24no—
404#381—24no—
405#381—42no—
406#380—24no—
407#380—24no—
408#379—24no—
409#379—24no—
410#379—24no—
411#379—42no—
412#379—42no—
413C4×C22⋊C4—24no—
414C2×#95—24no—
415C2×#95—42no—
416C2×#95—42no—
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
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C2×#95C2311yescharacteristic
472C2×#95C2311yescharacteristic
473C2×#95C2311yescharacteristic
474C2×#95C2311yescharacteristic
475C25—22no—
476C25—22no—
477C25—22no—
478C25—22no—
479C25—22no—
480C25—22no—
481C25—22no—
482C25—22no—
483C25—22no—
484C25—22no—
485C25—22no—
486C25—22no—
487C25—22no—
488C25—22no—
489C25—41no—
490C25—41no—
491C25—41no—
492C25—41no—
493C25—41no—
494C25—41no—
495C25—41no—
496C25—41no—
497C25—41no—
498C25—41no—
499C25—41no—
500C25—41no—
501C25—41no—
502C25—41no—
503C25C2×D414yes—
504C25C2×D414yes—
505C25C2411yescharacteristic
506C25C2411yescharacteristic
507C25C2411yescharacteristic
508C25C2411yescharacteristic
509C25C2411yescharacteristic
510C25C2411yescharacteristic
511C2×#41—232no—
512C2×#41—416no—
513C2×#41—416no—
514C2×#41—416no—
515C2×#41—416no—
516C2×#41—416no—
517C2×#41—416no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—22no—
522C22×Q8—22no—
523C22×Q8—41no—
524C22×Q8—41no—
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—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—232no—
552C22×D4—232no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
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—416no—
581C22×D4—416no—
582C22×D4—416no—
583C22×D4—416no—
584C22×D4—416no—
585C22×D4C2×D414yes—
586C22×D4C2×D414yes—
587C22×D4C2×D414yes—
588C22×D4C2×D414yes—
589C22×D4C2×D414yes—
590C22×D4C2×D414yes—
591C22×D4C2×D414yes—
592C22×D4C2×D414yes—
593C22×D4#4114yes—
594C22×D4#4114yes—
595C23×C4—22no—
596C23×C4—22no—
597C23×C4—22no—
598C23×C4—22no—
599C23×C4—22no—
600C23×C4—22no—
601C23×C4—22no—
602C23×C4—22no—
603C23×C4—22no—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
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—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
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×C4—41no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—41no—
663C23×C4—41no—
664C23×C4—41no—
665C23×C4—41no—
666C23×C4—41no—
667C23×C4—41no—
668C23×C4—41no—
669C23×C4—41no—
670C23×C4—41no—
671C23×C4—41no—
672C23×C4—41no—
673C23×C4—41no—
674C23×C4—41no—
675C23×C4—41no—
676C23×C4C2×D414yes—
677C23×C4C2×D414yes—
678C23×C4C2×D414yes—
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704#124—232no—
705#123—232no—
706#123—232no—
707#123—416no—
708C22⋊Q8—232no—
709#121—232no—
710#121—232no—
711#121—232no—
712#120—232no—
713#120—232no—
714C4×D4—232no—
715C4×D4—232no—
716C4×D4—416no—
717C4×D4—416no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—22no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—22no—
724C2×C4⋊C4—22no—
725C2×C4⋊C4—22no—
726C2×C4⋊C4—22no—
727C2×C4⋊C4—22no—
728C2×C4⋊C4—22no—
729C2×C4⋊C4—22no—
730C2×C4⋊C4—22no—
731C2×C4⋊C4—22no—
732C2×C4⋊C4—22no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4—22no—
735C2×C4⋊C4—22no—
736C2×C4⋊C4—22no—
737C2×C4⋊C4—22no—
738C2×C4⋊C4—22no—
739C2×C4⋊C4—22no—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—416no—
748C2×C4⋊C4—41no—
749C2×C4⋊C4—41no—
750C2×C4⋊C4—41no—
751C2×C4⋊C4—41no—
752C2×C4⋊C4—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4—41no—
758C2×C4⋊C4—41no—
759C2×C4⋊C4—41no—
760C2×C4⋊C4—41no—
761C2×C4⋊C4—41no—
762C2×C4⋊C4—41no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4C2×D414yes—
765C2×C4⋊C4C2×D414yes—
766C2×C4⋊C4C2×D414yes—
767C2×C22⋊C4—232no—
768C2×C22⋊C4—232no—
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—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—416no—
867C2×C22⋊C4—416no—
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—416no—
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⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C22⋊C4—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4C2×D414yes—
929C2×C22⋊C4C2×D414yes—
930C2×C22⋊C4C2×D414yes—
931C2×C22⋊C4C2×D414yes—
932C2×C22⋊C4C2×D414yes—
933C2×C22⋊C4#4114yescomplemented
934C2×C42—22no—
935C2×C42—22no—
936C2×C42—22no—
937C2×C42—22no—
938C2×C42—22no—
939C2×C42—22no—
940C2×C42—22no—
941C2×C42—41no—
942C2×C42—41no—
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—22no—
968#95—22no—
969#95—22no—
970#95—22no—
971#95—22no—
972#95—22no—
973#95—22no—
974#95—22no—
975#95—22no—
976#95—22no—
977#95—22no—
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—
989#95—41no—
990#95—41no—
991#95—41no—
992#95—41no—
993#95—41no—
994#95—41no—
995#95—41no—
996#95—41no—
997#95—41no—
998#95—41no—
999#95—41no—
1000#95—41no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—28no—
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—28no—
1075C24—28no—
1076C24—28no—
1077C24—28no—
1078C24—28no—
1079C24—28no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
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—
1143C24C22×D412yes—
1144C24C22×D412yes—
1145C24C22×D412yes—
1146C24C22×D412yes—
1147C24C22×D412yes—
1148C24C22×D412yes—
1149C24C22×D412yes—
1150C24C22×D412yes—
1151C24C22×D412yes—
1152C24C22×D412yes—
1153C24C2×#4112yes—
1154C24C2×#4112yes—
1155C24C2×#4112yes—
1156C24C2×#4112yes—
1157C24C2×#4112yes—
1158C24H(5,𝔽2)12yes—
1159C24H(5,𝔽2)12yes—
1160C242−1+412yes—
1161C24C2511yescharacteristic
1162#41—4128no—
1163C2×Q8—28no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—28no—
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—4128no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
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—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
1232C2×D4#120116yes—
1233C2×D4#123116yescomplemented
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—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—28no—
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—21no—
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—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—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—44no—
1447C22×C4—44no—
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×C4—82no—
1471C22×C4—82no—
1472C22×C4—82no—
1473C22×C4—82no—
1474C22×C4—82no—
1475C22×C4C22×D412yes—
1476C22×C4C22×D412yes—
1477C22×C4C22×D412yes—
1478C22×C4C22×D412yes—
1479C22×C4C22×D412yes—
1480C22×C4C22×D412yes—
1481C22×C4C22×D412yes—
1482C22×C4C22×D412yes—
1483C22×C4C22×D412yes—
1484C22×C4C22×D412yes—
1485C22×C4C22×D412yes—
1486C22×C4C2×#4112yes—
1487C22×C4C2×#4112yes—
1488C22×C4C2×#4112yes—
1489C22×C4C2×#4112yes—
1490C22×C4H(5,𝔽2)12yes—
1491C22×C4H(5,𝔽2)12yes—
1492C22×C4H(5,𝔽2)12yes—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—82no—
1507C4⋊C4—82no—
1508C4⋊C4—82no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
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—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
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—28no—
1564C42—44no—
1565C42—44no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
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—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—416no—
1663C23—416no—
1664C23—416no—
1665C23—416no—
1666C23—416no—
1667C23—416no—
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—416no—
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—88no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23—88no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23—88no—
1787C23—88no—
1788C23—88no—
1789C23—88no—
1790C23—88no—
1791C23—88no—
1792C23—88no—
1793C23—88no—
1794C23—88no—
1795C23—88no—
1796C23C2×#12014yes—
1797C23C2×#12014yes—
1798C23C2×#12314yes—
1799C23C2×#12314yes—
1800C23#53414yes—
1801C23#54614yes—
1802C23#54614yes—
1803C23#54614yes—
1804C23#54614yes—
1805C23#54714yes—
1806C23C23×D411yescharacteristic
1807C23C23×D411yescharacteristic
1808C23C23×D411yescharacteristic
1809C23C22×#4111yescharacteristic
1810C23C22×#4111yescharacteristic
1811C23C22×#4111yescharacteristic
1812C23C2×H(5,𝔽2)11yescharacteristic
1813C23C2×H(5,𝔽2)11yescharacteristic
1814C23C2×H(5,𝔽2)11yescharacteristic
1815C23C2×H(5,𝔽2)11yescharacteristic
1816C23C2×H(5,𝔽2)11yescharacteristic
1817C23C2×2−1+411yescharacteristic
1818C23#58511yescharacteristic
1819C23#58511yescharacteristic
1820C23#58511yescharacteristic
1821Q8—416no—
1822D4—232no—
1823D4—232no—
1824D4—416no—
1825D4—416no—
1826D4—416no—
1827D4—416no—
1828D4—416no—
1829D4—88no—
1830D4—88no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—416no—
1880C2×C4—416no—
1881C2×C4—416no—
1882C2×C4—416no—
1883C2×C4—416no—
1884C2×C4—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
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—88no—
2010C2×C4—88no—
2011C2×C4—88no—
2012C2×C4—88no—
2013C2×C4—88no—
2014C2×C4—88no—
2015C2×C4—88no—
2016C2×C4C2×#12014yes—
2017C2×C4C2×#12314yes—
2018C22—24no—
2019C22—24no—
2020C22—24no—
2021C22—24no—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—24no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—24no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—24no—
2036C22—24no—
2037C22—24no—
2038C22—24no—
2039C22—24no—
2040C22—24no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
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—832no—
2092C22—832no—
2093C22—81no—
2094C22—81no—
2095C22—81no—
2096C22—81no—
2097C22—81no—
2098C22—81no—
2099C22—81no—
2100C22—81no—
2101C22—81no—
2102C22—81no—
2103C22—81no—
2104C22—81no—
2105C22—81no—
2106C22—81no—
2107C22—81no—
2108C22—81no—
2109C22#240518yes—
2110C22C22×#12011yescharacteristic
2111C22C22×#12311yescharacteristic
2112C22C2×#53411yescharacteristic
2113C22C2×#54611yescharacteristic
2114C22C2×#54611yescharacteristic
2115C22C2×#54611yescharacteristic
2116C22C2×#54611yescharacteristic
2117C22C2×#54711yescharacteristic
2118C22D4×#4111yescharacteristic
2119C22D4×#4111yescharacteristic
2120C22#348111yescharacteristic
2121C22#348111yescharacteristic
2122C22#348411yescharacteristic
2123C22#348411yescharacteristic
2124C22#348511yescharacteristic
2125C22#348811yescharacteristic
2126C22#348911yescharacteristic
2127C22#348911yescharacteristic
2128C22#349011yescharacteristic
2129C22#349411yescharacteristic
2130C22#349611yescharacteristic
2131C22#349611yescharacteristic
2132C22#349811yescharacteristic
2133C22#351311yescharacteristic
2134C22#351411yescharacteristic
2135C22#352011yescharacteristic
2136C22#352011yescharacteristic
2137C22#352111yescharacteristic
2138C22#352111yescharacteristic
2139C22#353411yescharacteristic
2140C22#353411yescharacteristic
2141C22#353511yescharacteristic
2142C22#353611yescharacteristic
2143C22#354211yescharacteristic
2144C22#355811yescharacteristic
2145C4—24no—
2146C4—24no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—81no—
2160C4—81no—
2161C4—81no—
2162C4—81no—
2163C4—81no—
2164C4—81no—
2165C4—81no—
2166C4—81no—
2167C4—81no—
2168C4—81no—
2169C4—81no—
2170C2—28no—
2171C2—44no—
2172C2—44no—
2173C2—44no—
2174C2—82no—
2175C2—82no—
2176C2C2×#240511yescharacteristic
2177C2#3568011yescharacteristic
2178C2#3579111yescharacteristic
2179C2#3621311yescharacteristic
2180C2#3623711yescharacteristic
2181C2#3786011yescharacteristic
2182C2#4058511yescharacteristic
2183C2#4302611yescharacteristic
2184C2#4310111yescharacteristic
2185C2#4402211yescharacteristic
2186C2#4404411yescharacteristic
2187C2#5902911yescharacteristic
2188C2#5908711yescharacteristic
2189C2#5940611yescharacteristic
2190C2#5980011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#546C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2419C2semidirect
3. C2×#2443C2semidirect
4. C2×D4×C22⋊C4C2semidirect
5. #16365C2semidirect
6. #16255C2semidirect
7. #16032C2semidirect
8. #15983C2semidirect
9. #15784C2semidirect
10. #15464C2semidirect
11. #15340C2semidirect
12. #15338C2semidirect
13. #15312C2semidirect
14. #15260C2semidirect
15. #15001C2semidirect
16. #14918C2semidirect
17. #14911C2semidirect
18. #14825C2semidirect
19. #14727C2semidirect
20. #14725C2semidirect
21. #14718C2semidirect
22. #14173C2semidirect
23. #14127C2semidirect
24. #14023C2semidirect
25. #14015C2semidirect
26. #13975C2semidirect
27. #13968C2semidirect
28. #13956C2semidirect
29. #13956C2semidirect
30. #13867C2semidirect
31. C2×#1439C2semidirect
40. C22×#123C22semidirect
51. C23×C4⋊C4C22semidirect
59. C2×#400C22semidirect
60. C2×#399C22semidirect
61. C2×#398C22semidirect
62. C2×#398C22semidirect
63. C2×#397C22semidirect
64. C2×#397C22semidirect
65. C2×#397C22semidirect
67. C2×#394C22semidirect
68. C2×#394C22semidirect
69. C2×#394C22semidirect
70. C2×#394C22semidirect
74. C2×#388C22semidirect
75. C2×#387C22semidirect
76. C2×#387C22semidirect
77. C2×#387C22semidirect
86. C2×#386C22semidirect
87. C2×#386C22semidirect
88. C2×#386C22semidirect
89. C2×#386C22semidirect
90. C2×#386C22semidirect
91. C2×#385C22semidirect
92. C2×#385C22semidirect
93. C2×#385C22semidirect
94. C2×#385C22semidirect
95. C2×#385C22semidirect
96. C2×#385C22semidirect
97. C2×#385C22semidirect
98. C2×#381C22semidirect
99. C2×#381C22semidirect
100. C2×#381C22semidirect
102. C2×#380C22semidirect
109. C22×#95C22semidirect
110. C22×#95C22semidirect
111. C22×#95C22semidirect
112. #1446C22semidirect
113. #1446C22semidirect
114. #1446C22semidirect
115. #1446C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1442C22semidirect
120. #1441C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
126. #1440C22semidirect
127. #1440C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1437C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
178. C22⋊#95C22semidirect
179. C22⋊#95C22semidirect
180. C22⋊#95C22semidirect
181. C22⋊#95C22semidirect
182. C22⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
933. C2×C22⋊C4#41semidirect
1233. C2×D4#123semidirect

Maximal subgroups

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

subgroupindex
C22×#5462
C2×#24192
C2×#24432
C2×D4×C22⋊C42
#163652
#162552
#160322
#159832
#157842
#154642
#153402
#153382
#153122
#152602
#150012
#149182
#149112
#148252
#147272
#147252
#147182
#141732
#141272
#140232
#140152
#139752
#139682
#139562
#138672
C2×#14392