Finite Group Databasebeta

← #772986

Subgroups — #772986

Order 512.

5658 conjugacy classes of subgroups.

The subgroup lattice has 2300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2404C211yesmaximal, characteristic, complemented
2C2×#2407C211yesmaximal, characteristic, complemented
3C2×#2410C211yesmaximal, characteristic, complemented
4C2×#2388C211yesmaximal, characteristic, complemented
5C2×#2358C211yesmaximal, characteristic, complemented
6C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
7#16284C211yesmaximal, characteristic, complemented
8#16249C211yesmaximal, characteristic, complemented
9#15426C211yesmaximal, characteristic, complemented
10#15375C211yesmaximal, characteristic, complemented
11#15325C211yesmaximal, characteristic, complemented
12#15320C211yesmaximal, characteristic, complemented
13#15307C211yesmaximal, characteristic, complemented
14#15283C211yesmaximal, characteristic, complemented
15#15277C211yesmaximal, characteristic, complemented
16#15268C211yesmaximal, characteristic, complemented
17#14817C211yesmaximal, characteristic, complemented
18#14806C211yesmaximal, characteristic, complemented
19#14796C211yesmaximal, characteristic, complemented
20#14732C211yesmaximal, characteristic, complemented
21#14731C211yesmaximal, characteristic, complemented
22#14717C211yesmaximal, characteristic, complemented
23#14715C211yesmaximal, characteristic, complemented
24#14187C211yesmaximal, characteristic, complemented
25#14187C211yesmaximal, characteristic, complemented
26#14182C211yesmaximal, characteristic, complemented
27#14100C211yesmaximal, characteristic, complemented
28#13988C211yesmaximal, characteristic, complemented
29#13984C211yesmaximal, characteristic, complemented
30#13971C211yesmaximal, characteristic, complemented
31#13967C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C24×D4C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic, complemented
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49#2410—28no—
50#2407—28no—
51#2404—28no—
52C2×#399C2211yescharacteristic, complemented
53C2×#397C2211yescharacteristic, complemented
54C2×#396C2211yescharacteristic, complemented
55#2388—28no—
56C2×#395C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic, complemented
61C2×#394C2211yescharacteristic, complemented
62C2×#394C2211yescharacteristic, complemented
63C2×#394C2211yescharacteristic, complemented
64C2×#394C2211yescharacteristic, complemented
65C2×#394C2211yescharacteristic, complemented
66C2×#393C2211yescharacteristic
67C2×#393C2211yescharacteristic, complemented
68C2×#393C2211yescharacteristic, complemented
69C2×#392C2211yescharacteristic
70C2×#392C2211yescharacteristic
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic, complemented
77C2×#392C2211yescharacteristic, complemented
78C2×#392C2211yescharacteristic, complemented
79#2358—28no—
80D4×C22⋊C4—28no—
81C2×#391C2211yescharacteristic, complemented
82C2×#390C2211yescharacteristic
83C2×#390C2211yescharacteristic
84C2×#390C2211yescharacteristic
85C2×#390C2211yescharacteristic, complemented
86C2×#388C2211yescharacteristic
87C2×#388C2211yescharacteristic
88C2×#388C2211yescharacteristic, complemented
89C2×#388C2211yescharacteristic, complemented
90C2×#388C2211yescharacteristic, complemented
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#386C2211yescharacteristic, complemented
106C2×#386C2211yescharacteristic, complemented
107C2×#386C2211yescharacteristic, complemented
108C2×#386C2211yescharacteristic, complemented
109C2×#385C2211yescharacteristic
110C2×#385C2211yescharacteristic, complemented
111C2×#385C2211yescharacteristic, complemented
112C2×#385C2211yescharacteristic, complemented
113C2×#385C2211yescharacteristic, complemented
114C2×#381C2211yescharacteristic, complemented
115C2×#380C2211yescharacteristic
116C2×#380C2211yescharacteristic, complemented
117C2×#379C2211yescharacteristic
118C2×#379C2211yescharacteristic
119C2×#379C2211yescharacteristic
120C2×#379C2211yescharacteristic
121C2×#379C2211yescharacteristic
122C2×C4×C22⋊C4C2211yescharacteristic
123C2×C4×C22⋊C4C2211yescharacteristic, complemented
124C2×C4×C22⋊C4C2211yescharacteristic, complemented
125C2×C4×C22⋊C4C2211yescharacteristic, complemented
126C2×C4×C22⋊C4C2211yescharacteristic, complemented
127C2×C4×C22⋊C4C2211yescharacteristic, complemented
128#1445C2211yescharacteristic, complemented
129#1444C2211yescharacteristic, complemented
130#1443C2211yescharacteristic, complemented
131#1443C2211yescharacteristic, complemented
132#1442C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic, complemented
138#1440C2211yescharacteristic, complemented
139#1440C2211yescharacteristic, complemented
140#1440C2211yescharacteristic, complemented
141#1440C2211yescharacteristic, complemented
142#1440C2211yescharacteristic, complemented
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
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#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#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182C4⋊#95C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184#1434C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic
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—42no—
199C22×#41—42no—
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×D4—42no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C2×C22⋊Q8—24no—
235C2×C22⋊Q8—42no—
236C2×C22⋊Q8—42no—
237C2×#121—24no—
238C2×#121—24no—
239C2×#121—24no—
240C2×#121—24no—
241C2×#121—42no—
242C2×#121—42no—
243C2×#120—24no—
244C2×#120—24no—
245C2×#120—24no—
246C2×#120—24no—
247C2×#120—24no—
248C2×#120—24no—
249C2×#120—24no—
250C2×#120—24no—
251C2×#120—42no—
252C2×#120—42no—
253C2×#120—42no—
254C2×#120—42no—
255C2×C4×D4—24no—
256C2×C4×D4—24no—
257C2×C4×D4—24no—
258C2×C4×D4—24no—
259C2×C4×D4—24no—
260C2×C4×D4—24no—
261C2×C4×D4—24no—
262C2×C4×D4—24no—
263C2×C4×D4—42no—
264C2×C4×D4—42no—
265C2×C4×D4—42no—
266C2×C4×D4—42no—
267C2×C4×D4—42no—
268C2×C4×D4—42no—
269C2×C4×D4—42no—
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—24no—
283C22×C22⋊C4—24no—
284C22×C22⋊C4—24no—
285C22×C22⋊C4—24no—
286C22×C22⋊C4—24no—
287C22×C22⋊C4—24no—
288C22×C22⋊C4—42no—
289C22×C22⋊C4—42no—
290C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357#399—42no—
358#397—42no—
359#396—42no—
360#395—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—24no—
365#394—24no—
366#394—24no—
367#394—24no—
368#394—24no—
369#394—42no—
370#393—24no—
371#393—24no—
372#393—24no—
373#392—24no—
374#392—24no—
375#392—24no—
376#392—24no—
377#392—24no—
378#392—24no—
379#392—24no—
380#392—24no—
381#392—42no—
382#392D418yescomplemented
383#391—24no—
384#390—24no—
385#390—24no—
386#390—24no—
387#390—24no—
388#388—24no—
389#388—24no—
390#388—42no—
391#388—42no—
392#388—42no—
393#386—24no—
394#386—24no—
395#386—24no—
396#386—24no—
397#386—24no—
398#386—24no—
399#386—24no—
400#386—24no—
401#386—24no—
402#386—24no—
403#386—24no—
404#386—24no—
405#386—24no—
406#386—24no—
407#386—42no—
408#386—42no—
409#386D418yescomplemented
410#386D418yescomplemented
411#385—24no—
412#385—24no—
413#385—24no—
414#385—24no—
415#385—24no—
416#381—24no—
417#380—24no—
418#380—24no—
419#379—24no—
420#379—24no—
421#379—24no—
422#379—24no—
423#379—42no—
424C4×C22⋊C4—24no—
425C4×C22⋊C4—24no—
426C4×C22⋊C4—24no—
427C4×C22⋊C4—24no—
428C4×C22⋊C4—24no—
429C4×C22⋊C4—24no—
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
475C2×#95C2311yescharacteristic
476C2×#95C2311yescharacteristic
477C2×#95C2311yescharacteristic
478C2×#95C2311yescharacteristic
479C2×#95C2311yescharacteristic
480C25—22no—
481C25—22no—
482C25—22no—
483C25—22no—
484C25—22no—
485C25—22no—
486C25—22no—
487C25—22no—
488C25—22no—
489C25—22no—
490C25—22no—
491C25—22no—
492C25—22no—
493C25—41no—
494C25—41no—
495C25—41no—
496C25—41no—
497C25—41no—
498C25—41no—
499C25—41no—
500C25—41no—
501C25—41no—
502C25—41no—
503C25—41no—
504C25—41no—
505C25—41no—
506C25—41no—
507C25—41no—
508C25—41no—
509C25#4114yescomplemented
510C25C2411yescharacteristic
511C25C2411yescharacteristic
512C25C2411yescharacteristic
513C25C2411yescharacteristic
514C25C2411yescharacteristic
515C25C2411yescharacteristic
516C25C2411yescharacteristic
517C2×#41—416no—
518C2×#41—416no—
519C2×#41—416no—
520C2×#41—416no—
521C2×#41—416no—
522C2×#41—416no—
523C2×#41—416no—
524C22×Q8—22no—
525C22×Q8—22no—
526C22×Q8—22no—
527C22×Q8—22no—
528C22×Q8—22no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—232no—
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—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—416no—
632C22×D4—416no—
633C22×D4—416no—
634C22×D4—416no—
635C22×D4—416no—
636C22×D4—416no—
637C22×D4C2×D414yes—
638C22×D4C2×D414yes—
639C22×D4C2×D414yes—
640C22×D4C2×D414yes—
641C22×D4C2×D414yes—
642C22×D4#4114yescomplemented
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—22no—
651C23×C4—22no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—22no—
656C23×C4—22no—
657C23×C4—22no—
658C23×C4—22no—
659C23×C4—22no—
660C23×C4—22no—
661C23×C4—22no—
662C23×C4—22no—
663C23×C4—22no—
664C23×C4—22no—
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—22no—
668C23×C4—22no—
669C23×C4—22no—
670C23×C4—22no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—22no—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—41no—
678C23×C4—41no—
679C23×C4—41no—
680C23×C4—41no—
681C23×C4—41no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—41no—
688C23×C4—41no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4—41no—
692C23×C4—41no—
693C23×C4—41no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—41no—
697C23×C4—41no—
698C23×C4—41no—
699C23×C4—41no—
700C23×C4—41no—
701C23×C4—41no—
702C23×C4—41no—
703C23×C4—41no—
704C23×C4C2×D414yes—
705C23×C4C2×D414yescomplemented
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C22⋊Q8—416no—
731#121—416no—
732#121—416no—
733#120—232no—
734#120—416no—
735#120—416no—
736#120—416no—
737C4×D4—416no—
738C4×D4—416no—
739C4×D4—416no—
740C4×D4—416no—
741C4×D4—416no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4—41no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4—41no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4—41no—
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—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—416no—
883C2×C22⋊C4—416no—
884C2×C22⋊C4—416no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊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⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4C2×D414yes—
952C2×C22⋊C4C2×D414yes—
953C2×C22⋊C4C2×D414yes—
954C2×C22⋊C4C2×D414yes—
955C2×C22⋊C4C2×D414yes—
956C2×C22⋊C4C2×D414yes—
957C2×C22⋊C4C2×D414yes—
958C2×C22⋊C4C2×D414yes—
959C2×C22⋊C4C2×D414yescomplemented
960C2×C22⋊C4#4114yescomplemented
961C2×C42—22no—
962C2×C42—22no—
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—22no—
966C2×C42—22no—
967C2×C42—22no—
968C2×C42—22no—
969C2×C42—22no—
970C2×C42—22no—
971C2×C42—22no—
972C2×C42—41no—
973C2×C42—41no—
974C2×C42—41no—
975C2×C42—41no—
976C2×C42—41no—
977C2×C42—41no—
978C2×C42—41no—
979#95—22no—
980#95—22no—
981#95—22no—
982#95—22no—
983#95—22no—
984#95—22no—
985#95—22no—
986#95—22no—
987#95—22no—
988#95—22no—
989#95—22no—
990#95—22no—
991#95—22no—
992#95—22no—
993#95—22no—
994#95—22no—
995#95—22no—
996#95—22no—
997#95—22no—
998#95—22no—
999#95—22no—
1000#95—22no—
1001#95—22no—
1002#95—22no—
1003#95—22no—
1004#95—22no—
1005#95—22no—
1006#95—41no—
1007#95—41no—
1008#95—41no—
1009#95—41no—
1010#95—41no—
1011#95—41no—
1012#95—41no—
1013#95—41no—
1014#95—41no—
1015#95—41no—
1016#95—41no—
1017#95—41no—
1018#95—41no—
1019#95—41no—
1020#95—41no—
1021#95—41no—
1022#95—41no—
1023#95—41no—
1024#95C2×D414yes—
1025#95C2×D414yes—
1026#95C2×D414yes—
1027#95C2×D414yescomplemented
1028#95C2×D414yescomplemented
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—28no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—21no—
1087C24—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—21no—
1093C24—21no—
1094C24—21no—
1095C24—21no—
1096C24—21no—
1097C24—21no—
1098C24—21no—
1099C24—21no—
1100C24—21no—
1101C24—21no—
1102C24—21no—
1103C24—21no—
1104C24—21no—
1105C24—21no—
1106C24—21no—
1107C24—21no—
1108C24—21no—
1109C24—21no—
1110C24—21no—
1111C24—21no—
1112C24—21no—
1113C24—21no—
1114C24—21no—
1115C24—21no—
1116C24—21no—
1117C24—21no—
1118C24—21no—
1119C24—21no—
1120C24—28no—
1121C24—28no—
1122C24—28no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24—44no—
1154C24—44no—
1155C24—82no—
1156C24—82no—
1157C24—82no—
1158C24—82no—
1159C24—82no—
1160C24—82no—
1161C24—82no—
1162C24—82no—
1163C24—82no—
1164C24—82no—
1165C24—82no—
1166C24—82no—
1167C24—82no—
1168C24—82no—
1169C24—82no—
1170C24—82no—
1171C24—82no—
1172C24—82no—
1173C24—82no—
1174C24—82no—
1175C24—82no—
1176C24—82no—
1177C24—82no—
1178C24—82no—
1179C24—82no—
1180C24—82no—
1181C24—82no—
1182C24—82no—
1183C24—82no—
1184C24—82no—
1185C24—82no—
1186C24—82no—
1187C24—82no—
1188C24—82no—
1189C24C22×D412yes—
1190C24C22×D412yes—
1191C24C22×D412yes—
1192C24C22×D412yes—
1193C24C22×D412yes—
1194C24C22×D412yes—
1195C24C22×D412yes—
1196C24C2×#4112yes—
1197C24C2×#4112yes—
1198C24C2×#4112yes—
1199C24C2×#4112yes—
1200C24C2×#4112yes—
1201C24C2×#4112yes—
1202C24H(5,𝔽2)12yes—
1203C24H(5,𝔽2)12yes—
1204C24C2511yescharacteristic
1205#41—4128no—
1206C2×Q8—28no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—4128no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—82no—
1301C2×D4—82no—
1302C2×D4—82no—
1303C2×D4—82no—
1304C2×D4—82no—
1305C2×D4—82no—
1306C2×D4—82no—
1307C2×D4—82no—
1308C2×D4—82no—
1309C2×D4—82no—
1310C2×D4—82no—
1311C2×D4—82no—
1312C2×D4—82no—
1313C2×D4—82no—
1314C2×D4—82no—
1315C2×D4—82no—
1316C2×D4—82no—
1317C2×D4—82no—
1318C2×D4—82no—
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—28no—
1332C22×C4—28no—
1333C22×C4—28no—
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—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
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—82no—
1511C22×C4—82no—
1512C22×C4—82no—
1513C22×C4—82no—
1514C22×C4—82no—
1515C22×C4—82no—
1516C22×C4—82no—
1517C22×C4—82no—
1518C22×C4—82no—
1519C22×C4—82no—
1520C22×C4—82no—
1521C22×C4—82no—
1522C22×C4—82no—
1523C22×C4—82no—
1524C22×C4—82no—
1525C22×C4—82no—
1526C22×C4—82no—
1527C22×C4—82no—
1528C22×C4—82no—
1529C22×C4C22×D412yes—
1530C22×C4C22×D412yes—
1531C22×C4C22×D412yes—
1532C22×C4C22×D412yes—
1533C22×C4C22×D412yes—
1534C22×C4C22×D412yes—
1535C22×C4C22×D412yes—
1536C22×C4C22×D412yes—
1537C22×C4C22×D412yes—
1538C22×C4C22×D412yes—
1539C22×C4C22×D412yes—
1540C22×C4C22×D412yes—
1541C22×C4C22×D412yes—
1542C22×C4C22×D412yes—
1543C22×C4C2×#4112yes—
1544C22×C4C2×#4112yes—
1545C22×C4C2×#4112yes—
1546C22×C4H(5,𝔽2)12yes—
1547C22×C4H(5,𝔽2)12yes—
1548C22×C4H(5,𝔽2)12yes—
1549C22×C4H(5,𝔽2)12yes—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—82no—
1561C4⋊C4—82no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—82no—
1609C22⋊C4—82no—
1610C22⋊C4—82no—
1611C22⋊C4—82no—
1612C22⋊C4—82no—
1613C22⋊C4—82no—
1614C22⋊C4—82no—
1615C22⋊C4—82no—
1616C22⋊C4—82no—
1617C22⋊C4—82no—
1618C22⋊C4—82no—
1619C22⋊C4—82no—
1620C22⋊C4—82no—
1621C22⋊C4—82no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42—82no—
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—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—416no—
1722C23—416no—
1723C23—416no—
1724C23—416no—
1725C23—416no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
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1737C23—41no—
1738C23—41no—
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1740C23—41no—
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1770C23—41no—
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1773C23—41no—
1774C23—41no—
1775C23—41no—
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1780C23—41no—
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1790C23—41no—
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1800C23—41no—
1801C23—41no—
1802C23—41no—
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1807C23—41no—
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1809C23—41no—
1810C23—41no—
1811C23—41no—
1812C23—41no—
1813C23—41no—
1814C23—41no—
1815C23—41no—
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1819C23—41no—
1820C23—41no—
1821C23—41no—
1822C23—41no—
1823C23—41no—
1824C23—41no—
1825C23—41no—
1826C23—41no—
1827C23—41no—
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1830C23—41no—
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1860C23—41no—
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1870C23—41no—
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1874C23—88no—
1875C23—88no—
1876C23—88no—
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1878C23—88no—
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1880C23—88no—
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1889C23—88no—
1890C23—88no—
1891C23—88no—
1892C23—88no—
1893C23—88no—
1894C23—88no—
1895C23—88no—
1896C23—88no—
1897C23—88no—
1898C23—88no—
1899C23#52514yes—
1900C23#52514yes—
1901C23D4214yes—
1902C23#54614yes—
1903C23C23×D411yescharacteristic
1904C23C23×D411yescharacteristic
1905C23C23×D411yescharacteristic
1906C23C22×#4111yescharacteristic
1907C23C22×#4111yescharacteristic
1908C23C22×#4111yescharacteristic
1909C23C2×H(5,𝔽2)11yescharacteristic
1910C23C2×H(5,𝔽2)11yescharacteristic
1911C23C2×H(5,𝔽2)11yescharacteristic
1912C23C2×H(5,𝔽2)11yescharacteristic
1913C23C2×H(5,𝔽2)11yescharacteristic
1914C23C2×H(5,𝔽2)11yescharacteristic
1915C23#58511yescharacteristic
1916C23#58511yescharacteristic
1917C23#58511yescharacteristic
1918Q8—416no—
1919D4—232no—
1920D4—416no—
1921D4—416no—
1922D4—416no—
1923D4—416no—
1924D4—416no—
1925D4—416no—
1926D4—416no—
1927D4—416no—
1928D4—416no—
1929D4—88no—
1930D4—88no—
1931D4—88no—
1932D4—88no—
1933D4—88no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—416no—
1989C2×C4—416no—
1990C2×C4—416no—
1991C2×C4—416no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—41no—
2028C2×C4—41no—
2029C2×C4—41no—
2030C2×C4—41no—
2031C2×C4—41no—
2032C2×C4—41no—
2033C2×C4—41no—
2034C2×C4—41no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—41no—
2038C2×C4—41no—
2039C2×C4—41no—
2040C2×C4—41no—
2041C2×C4—41no—
2042C2×C4—41no—
2043C2×C4—41no—
2044C2×C4—41no—
2045C2×C4—41no—
2046C2×C4—41no—
2047C2×C4—41no—
2048C2×C4—41no—
2049C2×C4—41no—
2050C2×C4—41no—
2051C2×C4—41no—
2052C2×C4—41no—
2053C2×C4—41no—
2054C2×C4—41no—
2055C2×C4—41no—
2056C2×C4—41no—
2057C2×C4—41no—
2058C2×C4—41no—
2059C2×C4—41no—
2060C2×C4—41no—
2061C2×C4—41no—
2062C2×C4—41no—
2063C2×C4—41no—
2064C2×C4—41no—
2065C2×C4—41no—
2066C2×C4—41no—
2067C2×C4—41no—
2068C2×C4—41no—
2069C2×C4—41no—
2070C2×C4—41no—
2071C2×C4—41no—
2072C2×C4—41no—
2073C2×C4—41no—
2074C2×C4—41no—
2075C2×C4—41no—
2076C2×C4—41no—
2077C2×C4—41no—
2078C2×C4—41no—
2079C2×C4—41no—
2080C2×C4—41no—
2081C2×C4—41no—
2082C2×C4—41no—
2083C2×C4—41no—
2084C2×C4—41no—
2085C2×C4—41no—
2086C2×C4—41no—
2087C2×C4—41no—
2088C2×C4—41no—
2089C2×C4—41no—
2090C2×C4—41no—
2091C2×C4—41no—
2092C2×C4—41no—
2093C2×C4—41no—
2094C2×C4—41no—
2095C2×C4—41no—
2096C2×C4—41no—
2097C2×C4—41no—
2098C2×C4—41no—
2099C2×C4—41no—
2100C2×C4—41no—
2101C2×C4—41no—
2102C2×C4—41no—
2103C2×C4—88no—
2104C2×C4—88no—
2105C2×C4—88no—
2106C2×C4—88no—
2107C2×C4—88no—
2108C2×C4D4214yes—
2109C2×C4D4214yes—
2110C2×C4#54614yes—
2111C22—24no—
2112C22—24no—
2113C22—24no—
2114C22—24no—
2115C22—24no—
2116C22—24no—
2117C22—24no—
2118C22—24no—
2119C22—24no—
2120C22—24no—
2121C22—24no—
2122C22—24no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—832no—
2193C22—832no—
2194C22—81no—
2195C22—81no—
2196C22—81no—
2197C22—81no—
2198C22—81no—
2199C22—81no—
2200C22—81no—
2201C22—81no—
2202C22—81no—
2203C22—81no—
2204C22—81no—
2205C22—81no—
2206C22—81no—
2207C22—81no—
2208C22—81no—
2209C22—81no—
2210C22—81no—
2211C22—81no—
2212C22—81no—
2213C22—81no—
2214C22—81no—
2215C22—81no—
2216C22—81no—
2217C22—81no—
2218C22C2×#52511yescharacteristic
2219C22C2×#52511yescharacteristic
2220C22#345911yescharacteristic
2221C22C2×D4211yescharacteristic
2222C22C2×D4211yescharacteristic
2223C22C2×D4211yescharacteristic
2224C22C2×#54611yescharacteristic
2225C22C2×#54611yescharacteristic
2226C22D4×#4111yescharacteristic
2227C22D4×#4111yescharacteristic
2228C22D4×#4111yescharacteristic
2229C22#348111yescharacteristic
2230C22#348411yescharacteristic
2231C22#348411yescharacteristic
2232C22#348411yescharacteristic
2233C22#348411yescharacteristic
2234C22#348511yescharacteristic
2235C22#348811yescharacteristic
2236C22#349011yescharacteristic
2237C22#349011yescharacteristic
2238C22#349411yescharacteristic
2239C22#349611yescharacteristic
2240C22#350011yescharacteristic
2241C22#350511yescharacteristic
2242C22#350511yescharacteristic
2243C22#350811yescharacteristic
2244C22#351411yescharacteristic
2245C22#351411yescharacteristic
2246C22#351911yescharacteristic
2247C22#353211yescharacteristic
2248C22#354211yescharacteristic
2249C22#354211yescharacteristic
2250C22#354611yescharacteristic
2251C22#354611yescharacteristic
2252C22#356011yescharacteristic
2253C4—24no—
2254C4—24no—
2255C4—24no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C4—42no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C4—42no—
2265C4—42no—
2266C4—42no—
2267C4—42no—
2268C4—81no—
2269C4—81no—
2270C4—81no—
2271C4—81no—
2272C4—81no—
2273C4—81no—
2274C4—81no—
2275C4—81no—
2276C4—81no—
2277C2—44no—
2278C2—44no—
2279C2—44no—
2280C2—44no—
2281C2—82no—
2282C2—82no—
2283C2—82no—
2284C2#3465511yescharacteristic
2285C2#3568111yescharacteristic
2286C2#3570311yescharacteristic
2287C2#3609611yescharacteristic
2288C2#3609811yescharacteristic
2289C2#3777611yescharacteristic
2290C2#4102811yescharacteristic
2291C2#4310911yescharacteristic
2292C2#4311311yescharacteristic
2293C2#4415711yescharacteristic
2294C2#4486811yescharacteristic
2295C2#5899011yescharacteristic
2296C2#5903511yescharacteristic
2297C2#5909911yescharacteristic
2298C2#5912211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2404C2semidirect
2. C2×#2407C2semidirect
3. C2×#2410C2semidirect
4. C2×#2388C2semidirect
5. C2×#2358C2semidirect
6. C2×D4×C22⋊C4C2semidirect
7. #16284C2semidirect
8. #16249C2semidirect
9. #15426C2semidirect
10. #15375C2semidirect
11. #15325C2semidirect
12. #15320C2semidirect
13. #15307C2semidirect
14. #15283C2semidirect
15. #15277C2semidirect
16. #15268C2semidirect
17. #14817C2semidirect
18. #14806C2semidirect
19. #14796C2semidirect
20. #14732C2semidirect
21. #14731C2semidirect
22. #14717C2semidirect
23. #14715C2semidirect
24. #14187C2semidirect
25. #14187C2semidirect
26. #14182C2semidirect
27. #14100C2semidirect
28. #13988C2semidirect
29. #13984C2semidirect
30. #13971C2semidirect
31. #13967C2semidirect
32. C23×#41C22semidirect
34. C22×C22⋊Q8C22semidirect
43. C22×C4×D4C22semidirect
44. C22×C4×D4C22semidirect
45. C22×C4×D4C22semidirect
52. C2×#399C22semidirect
53. C2×#397C22semidirect
54. C2×#396C22semidirect
56. C2×#395C22semidirect
60. C2×#394C22semidirect
61. C2×#394C22semidirect
62. C2×#394C22semidirect
63. C2×#394C22semidirect
64. C2×#394C22semidirect
65. C2×#394C22semidirect
67. C2×#393C22semidirect
68. C2×#393C22semidirect
76. C2×#392C22semidirect
77. C2×#392C22semidirect
78. C2×#392C22semidirect
81. C2×#391C22semidirect
85. C2×#390C22semidirect
88. C2×#388C22semidirect
89. C2×#388C22semidirect
90. C2×#388C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
105. C2×#386C22semidirect
106. C2×#386C22semidirect
107. C2×#386C22semidirect
108. C2×#386C22semidirect
110. C2×#385C22semidirect
111. C2×#385C22semidirect
112. C2×#385C22semidirect
113. C2×#385C22semidirect
114. C2×#381C22semidirect
116. C2×#380C22semidirect
123. C2×C4×C22⋊C4C22semidirect
124. C2×C4×C22⋊C4C22semidirect
125. C2×C4×C22⋊C4C22semidirect
126. C2×C4×C22⋊C4C22semidirect
127. C2×C4×C22⋊C4C22semidirect
128. #1445C22semidirect
129. #1444C22semidirect
130. #1443C22semidirect
131. #1443C22semidirect
132. #1442C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
137. #1440C22semidirect
138. #1440C22semidirect
139. #1440C22semidirect
140. #1440C22semidirect
141. #1440C22semidirect
142. #1440C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. C4⋊#95C22semidirect
183. #1434C22semidirect
184. #1434C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
382. #392D4semidirect
409. #386D4semidirect
410. #386D4semidirect
509. C25#41semidirect
642. C22×D4#41semidirect
705. C23×C4C2×D4semidirect
959. C2×C22⋊C4C2×D4semidirect
960. C2×C22⋊C4#41semidirect
1027. #95C2×D4semidirect
1028. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24042
C2×#24072
C2×#24102
C2×#23882
C2×#23582
C2×D4×C22⋊C42
#162842
#162492
#154262
#153752
#153252
#153202
#153072
#152832
#152772
#152682
#148172
#148062
#147962
#147322
#147312
#147172
#147152
#141872
#141822
#141002
#139882
#139842
#139712
#139672