Finite Group Databasebeta

← #775186

Subgroups — #775186

Order 512.

5154 conjugacy classes of subgroups.

The subgroup lattice has 2169 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2417C211yesmaximal, characteristic, complemented
2C2×#2463C211yesmaximal, characteristic, complemented
3C2×#2437C211yesmaximal, characteristic, complemented
4C22×#394C211yesmaximal, characteristic, complemented
5C2×#2358C211yesmaximal, characteristic, complemented
6C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
7#16288C211yesmaximal, characteristic, complemented
8#16271C211yesmaximal, characteristic, complemented
9#15776C211yesmaximal, characteristic, complemented
10#15661C211yesmaximal, characteristic, complemented
11#15458C211yesmaximal, characteristic, complemented
12#15453C211yesmaximal, characteristic, complemented
13#15419C211yesmaximal, characteristic, complemented
14#15387C211yesmaximal, characteristic, complemented
15#15376C211yesmaximal, characteristic, complemented
16#15275C211yesmaximal, characteristic, complemented
17#14817C211yesmaximal, characteristic, complemented
18#14801C211yesmaximal, characteristic, complemented
19#14732C211yesmaximal, characteristic, complemented
20#14732C211yesmaximal, characteristic, complemented
21#14718C211yesmaximal, characteristic, complemented
22#14717C211yesmaximal, characteristic, complemented
23#14715C211yesmaximal, characteristic
24#14185C211yesmaximal, characteristic, complemented
25#14134C211yesmaximal, characteristic, complemented
26#14039C211yesmaximal, characteristic, complemented
27#14028C211yesmaximal, characteristic, complemented
28#13999C211yesmaximal, characteristic, complemented
29#13967C211yesmaximal, characteristic, complemented
30#13877C211yesmaximal, characteristic, complemented
31#13873C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic, complemented
35C22×C22⋊Q8C2211yescharacteristic, complemented
36C22×#120C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic, complemented
42C23×C4⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49#2463—28no—
50#2437—28no—
51#2417—28no—
52C2×#399C2211yescharacteristic, complemented
53C2×#398C2211yescharacteristic, complemented
54C2×#398C2211yescharacteristic, complemented
55C2×#396C2211yescharacteristic, complemented
56C2×#396C2211yescharacteristic, complemented
57C2×#396C2211yescharacteristic, complemented
58C2×#396C2211yescharacteristic, complemented
59C2×#394—28no—
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic, complemented
70C2×#393C2211yescharacteristic, complemented
71C2×#393C2211yescharacteristic, complemented
72C2×#393C2211yescharacteristic, complemented
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic
77#2358—28no—
78D4×C22⋊C4—28no—
79C2×#391C2211yescharacteristic, complemented
80C2×#390C2211yescharacteristic
81C2×#390C2211yescharacteristic
82C2×#390C2211yescharacteristic, complemented
83C2×#389C2211yescharacteristic, complemented
84C2×#388C2211yescharacteristic, complemented
85C2×#388C2211yescharacteristic, complemented
86C2×#388C2211yescharacteristic, complemented
87C2×#388C2211yescharacteristic, complemented
88C2×#388C2211yescharacteristic, complemented
89C2×#387C2211yescharacteristic, complemented
90C2×#387C2211yescharacteristic, complemented
91C2×#387C2211yescharacteristic, complemented
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic, complemented
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#386C2211yescharacteristic, complemented
106C2×#385C2211yescharacteristic
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic, complemented
109C2×#385C2211yescharacteristic, complemented
110C2×#385C2211yescharacteristic, complemented
111C2×#385C2211yescharacteristic, complemented
112C2×#385C2211yescharacteristic, complemented
113C2×#380C2211yescharacteristic
114C2×#380C2211yescharacteristic
115C2×#380C2211yescharacteristic
116C2×#380C2211yescharacteristic, complemented
117C2×#380C2211yescharacteristic, complemented
118C2×#379C2211yescharacteristic
119C2×#379C2211yescharacteristic
120C2×#379C2211yescharacteristic
121C2×#379C2211yescharacteristic
122C2×C4×C22⋊C4C2211yescharacteristic
123C2×C4×C22⋊C4C2211yescharacteristic
124C2×C4×C22⋊C4C2211yescharacteristic, complemented
125C22×#95C2211yescharacteristic
126#1445C2211yescharacteristic, complemented
127#1443C2211yescharacteristic, complemented
128#1443C2211yescharacteristic, complemented
129#1442C2211yescharacteristic, complemented
130#1442C2211yescharacteristic, complemented
131#1442C2211yescharacteristic, complemented
132#1442C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1440C2211yescharacteristic, complemented
137#1440C2211yescharacteristic, complemented
138#1440C2211yescharacteristic, complemented
139#1440C2211yescharacteristic, complemented
140#1440C2211yescharacteristic, complemented
141#1440C2211yescharacteristic, complemented
142#1440C2211yescharacteristic, 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#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C26C2311yescharacteristic
195C23×Q8C2311yescharacteristic
196C23×D4—24no—
197C23×D4—24no—
198C23×D4—24no—
199C23×D4—24no—
200C23×D4—42no—
201C23×D4—42no—
202C23×D4—42no—
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C24×C4C2311yescharacteristic
218C24×C4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C2×C22⋊Q8—24no—
223C2×C22⋊Q8—24no—
224C2×C22⋊Q8—24no—
225C2×C22⋊Q8—24no—
226C2×C22⋊Q8—24no—
227C2×C22⋊Q8—24no—
228C2×C22⋊Q8—42no—
229C2×C22⋊Q8—42no—
230C2×C22⋊Q8—42no—
231C2×#120—24no—
232C2×#120—24no—
233C2×#120—24no—
234C2×#120—24no—
235C2×#120—24no—
236C2×#120—42no—
237C2×C4×D4—24no—
238C2×C4×D4—24no—
239C2×C4×D4—24no—
240C2×C4×D4—24no—
241C2×C4×D4—24no—
242C2×C4×D4—24no—
243C2×C4×D4—24no—
244C2×C4×D4—42no—
245C2×C4×D4—42no—
246C2×C4×D4—42no—
247C2×C4×D4—42no—
248C2×C4×D4—42no—
249C22×C4⋊C4—24no—
250C22×C4⋊C4—24no—
251C22×C4⋊C4—42no—
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C22⋊C4—24no—
271C22×C22⋊C4—24no—
272C22×C22⋊C4—24no—
273C22×C22⋊C4—24no—
274C22×C22⋊C4—24no—
275C22×C22⋊C4—24no—
276C22×C22⋊C4—24no—
277C22×C22⋊C4—24no—
278C22×C22⋊C4—24no—
279C22×C22⋊C4—24no—
280C22×C22⋊C4—24no—
281C22×C22⋊C4—24no—
282C22×C22⋊C4—42no—
283C22×C22⋊C4—42no—
284C22×C22⋊C4—42no—
285C22×C22⋊C4—42no—
286C22×C22⋊C4—42no—
287C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349#399—24no—
350#398—24no—
351#398—24no—
352#396—24no—
353#396—24no—
354#396—24no—
355#396—24no—
356#394—24no—
357#394—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—42no—
365#394D418yescomplemented
366#393—24no—
367#393—24no—
368#393—42no—
369#392—24no—
370#392—42no—
371#392—42no—
372#392—42no—
373#391—24no—
374#390—24no—
375#390—24no—
376#390—24no—
377#389—24no—
378#388—24no—
379#388—24no—
380#388—24no—
381#388—24no—
382#388—42no—
383#387—24no—
384#387—24no—
385#387—42no—
386#386—24no—
387#386—24no—
388#386—24no—
389#386—24no—
390#386—24no—
391#386—24no—
392#386—24no—
393#386—24no—
394#386—24no—
395#386—24no—
396#386—24no—
397#386—24no—
398#386—42no—
399#386—42no—
400#385—24no—
401#385—24no—
402#385—24no—
403#385—24no—
404#385—24no—
405#385—42no—
406#385D418yescomplemented
407#380—24no—
408#380—24no—
409#380—24no—
410#380—24no—
411#380D418yescomplemented
412#379—24no—
413#379—24no—
414#379—24no—
415#379—42no—
416C4×C22⋊C4—24no—
417C4×C22⋊C4—24no—
418C4×C22⋊C4—24no—
419C2×#95—24no—
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
474C25—22no—
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—22no—
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#4114yes—
503C25#4114yes—
504C25C2411yescharacteristic
505C25C2411yescharacteristic
506C25C2411yescharacteristic
507C25C2411yescharacteristic
508C25C2411yescharacteristic
509C25C2411yescharacteristic
510C22×Q8—22no—
511C22×Q8—22no—
512C22×Q8—22no—
513C22×Q8—22no—
514C22×Q8—41no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—232no—
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—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—416no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—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×D4#4114yes—
587C23×C4—22no—
588C23×C4—22no—
589C23×C4—22no—
590C23×C4—22no—
591C23×C4—22no—
592C23×C4—22no—
593C23×C4—22no—
594C23×C4—22no—
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—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4—41no—
629C23×C4—41no—
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×C4C2×D414yes—
656C23×C4C2×D414yes—
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
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
682C22⋊Q8—416no—
683C22⋊Q8—416no—
684C22⋊Q8—416no—
685#120—232no—
686#120—416no—
687C4×D4—416no—
688C4×D4—416no—
689C4×D4—416no—
690C4×D4—416no—
691C2×C4⋊C4—22no—
692C2×C4⋊C4—22no—
693C2×C4⋊C4—22no—
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—22no—
714C2×C4⋊C4—22no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—22no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—416no—
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⋊C4—41no—
732C2×C4⋊C4—41no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4—41no—
736C2×C4⋊C4—41no—
737C2×C4⋊C4—41no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4C2×D414yes—
742C2×C4⋊C4C2×D414yes—
743C2×C4⋊C4C2×D414yes—
744C2×C4⋊C4C2×D414yescomplemented
745C2×C4⋊C4C2×D414yescomplemented
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—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—416no—
853C2×C22⋊C4—416no—
854C2×C22⋊C4—416no—
855C2×C22⋊C4—416no—
856C2×C22⋊C4—416no—
857C2×C22⋊C4—416no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊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⋊C4C2×D414yes—
913C2×C22⋊C4C2×D414yes—
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×C42—22no—
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—
935#95—22no—
936#95—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—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—41no—
966#95—41no—
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#95C2×D414yes—
985#95C2×D414yes—
986#95C2×D414yes—
987#95C2×D414yescomplemented
988#95C2×D414yescomplemented
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—28no—
1022C24—28no—
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—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—28no—
1066C24—28no—
1067C24—28no—
1068C24—28no—
1069C24—28no—
1070C24—28no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
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—82no—
1110C24—82no—
1111C24—82no—
1112C24—82no—
1113C24—82no—
1114C24—82no—
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—
1133C24C22×D412yes—
1134C24C22×D412yes—
1135C24C22×D412yes—
1136C24C22×D412yes—
1137C24C2×#4112yes—
1138C24C2×#4112yes—
1139C24C2×#4112yes—
1140C24C2×#4112yes—
1141C24C2×#4112yes—
1142C24C2×#4112yes—
1143C24C2×#4112yes—
1144C24C2×#4112yes—
1145C24H(5,𝔽2)12yes—
1146C24H(5,𝔽2)12yes—
1147C24H(5,𝔽2)12yes—
1148C242−1+412yes—
1149C24C2511yescharacteristic
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—82no—
1155C2×Q8—82no—
1156C2×Q8—82no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—44no—
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—4128no—
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—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—28no—
1316C22×C4—28no—
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—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—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—82no—
1419C22×C4—82no—
1420C22×C4—82no—
1421C22×C4—82no—
1422C22×C4—82no—
1423C22×C4—82no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4—82no—
1427C22×C4—82no—
1428C22×C4—82no—
1429C22×C4—82no—
1430C22×C4—82no—
1431C22×C4—82no—
1432C22×C4—82no—
1433C22×C4—82no—
1434C22×C4—82no—
1435C22×C4—82no—
1436C22×C4—82no—
1437C22×C4—82no—
1438C22×C4—82no—
1439C22×C4—82no—
1440C22×C4—82no—
1441C22×C4—82no—
1442C22×C4—82no—
1443C22×C4—82no—
1444C22×C4—82no—
1445C22×C4—82no—
1446C22×C4C22×D412yes—
1447C22×C4C22×D412yes—
1448C22×C4C22×D412yes—
1449C22×C4C22×D412yes—
1450C22×C4C22×D412yes—
1451C22×C4C22×D412yes—
1452C22×C4C22×D412yes—
1453C22×C4C22×D412yes—
1454C22×C4C22×D412yes—
1455C22×C4C22×D412yes—
1456C22×C4C22×D412yes—
1457C22×C4C22×D412yes—
1458C22×C4C22×D412yes—
1459C22×C4C22×D412yes—
1460C22×C4C22×D412yes—
1461C22×C4C22×D412yes—
1462C22×C4C22×D412yes—
1463C22×C4C2×#4112yes—
1464C22×C4H(5,𝔽2)12yes—
1465C22×C4H(5,𝔽2)12yes—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—82no—
1482C4⋊C4—82no—
1483C4⋊C4—82no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
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—82no—
1527C22⋊C4—82no—
1528C22⋊C4—82no—
1529C22⋊C4—82no—
1530C22⋊C4—82no—
1531C22⋊C4—82no—
1532C22⋊C4—82no—
1533C22⋊C4—82no—
1534C22⋊C4—82no—
1535C22⋊C4—82no—
1536C22⋊C4—82no—
1537C22⋊C4—82no—
1538C22⋊C4—82no—
1539C22⋊C4—82no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—82no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
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—416no—
1631C23—416no—
1632C23—416no—
1633C23—416no—
1634C23—416no—
1635C23—416no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—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—416no—
1696C23—416no—
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—88no—
1755C23—88no—
1756C23—88no—
1757C23—88no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—88no—
1768C23—88no—
1769C23—88no—
1770C23—88no—
1771C23—88no—
1772C23—88no—
1773C23—88no—
1774C23—88no—
1775C23—88no—
1776C23#52514yes—
1777C23#52514yes—
1778C23#53914yes—
1779C23D4214yes—
1780C23#54614yes—
1781C23#54614yes—
1782C23#54814yes—
1783C23#54814yes—
1784C23#55114yes—
1785C23C23×D411yescharacteristic
1786C23C23×D411yescharacteristic
1787C23C23×D411yescharacteristic
1788C23C22×#4111yescharacteristic
1789C23C22×#4111yescharacteristic
1790C23C22×#4111yescharacteristic
1791C23C2×H(5,𝔽2)11yescharacteristic
1792C23C2×H(5,𝔽2)11yescharacteristic
1793C23C2×H(5,𝔽2)11yescharacteristic
1794C23C2×H(5,𝔽2)11yescharacteristic
1795C23C2×H(5,𝔽2)11yescharacteristic
1796C23C2×2−1+411yescharacteristic
1797C23#58511yescharacteristic
1798C23#58511yescharacteristic
1799C23#58511yescharacteristic
1800Q8—88no—
1801D4—232no—
1802D4—416no—
1803D4—416no—
1804D4—416no—
1805D4—416no—
1806D4—416no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
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—416no—
1865C2×C4—416no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—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—88no—
1986C2×C4—88no—
1987C2×C4—88no—
1988C2×C4—88no—
1989C2×C4—88no—
1990C2×C4—88no—
1991C2×C4—88no—
1992C2×C4—88no—
1993C2×C4D4214yes—
1994C2×C4D4214yes—
1995C22—24no—
1996C22—24no—
1997C22—24no—
1998C22—24no—
1999C22—24no—
2000C22—24no—
2001C22—24no—
2002C22—24no—
2003C22—24no—
2004C22—24no—
2005C22—24no—
2006C22—24no—
2007C22—24no—
2008C22—24no—
2009C22—24no—
2010C22—24no—
2011C22—24no—
2012C22—24no—
2013C22—24no—
2014C22—24no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
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—832no—
2061C22—832no—
2062C22—81no—
2063C22—81no—
2064C22—81no—
2065C22—81no—
2066C22—81no—
2067C22—81no—
2068C22—81no—
2069C22—81no—
2070C22—81no—
2071C22—81no—
2072C22—81no—
2073C22—81no—
2074C22—81no—
2075C22—81no—
2076C22—81no—
2077C22—81no—
2078C22—81no—
2079C22—81no—
2080C22—81no—
2081C22—81no—
2082C22—81no—
2083C22—81no—
2084C22—81no—
2085C22—81no—
2086C22#246318yescomplemented
2087C22C2×#52511yescharacteristic
2088C22C2×#52511yescharacteristic
2089C22C2×#53911yescharacteristic
2090C22C2×D4211yescharacteristic
2091C22C2×D4211yescharacteristic
2092C22C2×D4211yescharacteristic
2093C22C2×#54611yescharacteristic
2094C22C2×#54611yescharacteristic
2095C22C2×#54811yescharacteristic
2096C22C2×#54811yescharacteristic
2097C22D4×#4111yescharacteristic
2098C22C2×#55111yescharacteristic
2099C22#348411yescharacteristic
2100C22#348811yescharacteristic
2101C22#348811yescharacteristic
2102C22#348811yescharacteristic
2103C22#348811yescharacteristic
2104C22#348911yescharacteristic
2105C22#349011yescharacteristic
2106C22#349011yescharacteristic
2107C22#349111yescharacteristic
2108C22#349111yescharacteristic
2109C22#349611yescharacteristic
2110C22#350011yescharacteristic
2111C22#350511yescharacteristic
2112C22#350511yescharacteristic
2113C22#351311yescharacteristic
2114C22#351411yescharacteristic
2115C22#351911yescharacteristic
2116C22#353411yescharacteristic
2117C22#353411yescharacteristic
2118C22#353511yescharacteristic
2119C22#353611yescharacteristic
2120C22#353711yescharacteristic
2121C22#356111yescharacteristic
2122C4—24no—
2123C4—24no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—81no—
2139C4—81no—
2140C4—81no—
2141C4—81no—
2142C4—81no—
2143C4—81no—
2144C4—81no—
2145C4—81no—
2146C4—81no—
2147C2—28no—
2148C2—44no—
2149C2—44no—
2150C2—82no—
2151C2—82no—
2152C2—82no—
2153C2C2×#246311yescharacteristic
2154C2#3575311yescharacteristic
2155C2#3576211yescharacteristic
2156C2#3609611yescharacteristic
2157C2#3609811yescharacteristic
2158C2#3766111yescharacteristic
2159C2#4053811yescharacteristic
2160C2#4302411yescharacteristic
2161C2#4305011yescharacteristic
2162C2#4310311yescharacteristic
2163C2#4388911yescharacteristic
2164C2#5899611yescharacteristic
2165C2#5899711yescharacteristic
2166C2#5901111yescharacteristic
2167C2#5913011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14715C2
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×#2417C2semidirect
2. C2×#2463C2semidirect
3. C2×#2437C2semidirect
4. C22×#394C2semidirect
5. C2×#2358C2semidirect
6. C2×D4×C22⋊C4C2semidirect
7. #16288C2semidirect
8. #16271C2semidirect
9. #15776C2semidirect
10. #15661C2semidirect
11. #15458C2semidirect
12. #15453C2semidirect
13. #15419C2semidirect
14. #15387C2semidirect
15. #15376C2semidirect
16. #15275C2semidirect
17. #14817C2semidirect
18. #14801C2semidirect
19. #14732C2semidirect
20. #14732C2semidirect
21. #14718C2semidirect
22. #14717C2semidirect
24. #14185C2semidirect
25. #14134C2semidirect
26. #14039C2semidirect
27. #14028C2semidirect
28. #13999C2semidirect
29. #13967C2semidirect
30. #13877C2semidirect
31. #13873C2semidirect
34. C22×C22⋊Q8C22semidirect
35. C22×C22⋊Q8C22semidirect
41. C22×C4×D4C22semidirect
52. C2×#399C22semidirect
53. C2×#398C22semidirect
54. C2×#398C22semidirect
55. C2×#396C22semidirect
56. C2×#396C22semidirect
57. C2×#396C22semidirect
58. C2×#396C22semidirect
68. C2×#394C22semidirect
69. C2×#394C22semidirect
70. C2×#393C22semidirect
71. C2×#393C22semidirect
72. C2×#393C22semidirect
79. C2×#391C22semidirect
82. C2×#390C22semidirect
83. C2×#389C22semidirect
84. C2×#388C22semidirect
85. C2×#388C22semidirect
86. C2×#388C22semidirect
87. C2×#388C22semidirect
88. C2×#388C22semidirect
89. C2×#387C22semidirect
90. C2×#387C22semidirect
91. C2×#387C22semidirect
100. C2×#386C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
105. C2×#386C22semidirect
108. C2×#385C22semidirect
109. C2×#385C22semidirect
110. C2×#385C22semidirect
111. C2×#385C22semidirect
112. C2×#385C22semidirect
116. C2×#380C22semidirect
117. C2×#380C22semidirect
124. C2×C4×C22⋊C4C22semidirect
126. #1445C22semidirect
127. #1443C22semidirect
128. #1443C22semidirect
129. #1442C22semidirect
130. #1442C22semidirect
131. #1442C22semidirect
132. #1442C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1440C22semidirect
137. #1440C22semidirect
138. #1440C22semidirect
139. #1440C22semidirect
140. #1440C22semidirect
141. #1440C22semidirect
142. #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
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
365. #394D4semidirect
406. #385D4semidirect
411. #380D4semidirect
744. C2×C4⋊C4C2×D4semidirect
745. C2×C4⋊C4C2×D4semidirect
987. #95C2×D4semidirect
988. #95C2×D4semidirect
2086. C22#2463semidirect

Maximal subgroups

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

subgroupindex
C2×#24172
C2×#24632
C2×#24372
C22×#3942
C2×#23582
C2×D4×C22⋊C42
#162882
#162712
#157762
#156612
#154582
#154532
#154192
#153872
#153762
#152752
#148172
#148012
#147322
#147182
#147172
#147152
#141852
#141342
#140392
#140282
#139992
#139672
#138772
#138732