Finite Group Databasebeta

← #518045

Subgroups — #518045

Order 512.

4096 conjugacy classes of subgroups.

The subgroup lattice has 1814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2407C211yesmaximal, characteristic
2C2×#2339C211yesmaximal, characteristic, complemented
3C2×#2275C211yesmaximal, characteristic, complemented
4#14303C211yesmaximal, characteristic, complemented
5#14299C211yesmaximal, characteristic, complemented
6#14297C211yesmaximal, characteristic, complemented
7#14199C211yesmaximal, characteristic, complemented
8#14187C211yesmaximal, characteristic, complemented
9#14173C211yesmaximal, characteristic, complemented
10#14171C211yesmaximal, characteristic, complemented
11#14100C211yesmaximal, characteristic, complemented
12#14099C211yesmaximal, characteristic, complemented
13#14090C211yesmaximal, characteristic, complemented
14#14082C211yesmaximal, characteristic, complemented
15#14059C211yesmaximal, characteristic, complemented
16#14052C211yesmaximal, characteristic, complemented
17#14036C211yesmaximal, characteristic, complemented
18#14023C211yesmaximal, characteristic, complemented
19#13988C211yesmaximal, characteristic, complemented
20#13987C211yesmaximal, characteristic, complemented
21#13984C211yesmaximal, characteristic, complemented
22#13983C211yesmaximal, characteristic, complemented
23#13940C211yesmaximal, characteristic, complemented
24C4×#394C211yesmaximal, characteristic, complemented
25C4×#392C211yesmaximal, characteristic, complemented
26#13851C211yesmaximal, characteristic, complemented
27#13824C211yesmaximal, characteristic, complemented
28#13823C211yesmaximal, characteristic, complemented
29#13814C211yesmaximal, characteristic, complemented
30#13813C211yesmaximal, characteristic, complemented
31#13802C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2407C4116yescomplemented
42C2×#394C2211yescharacteristic
43C2×#394C2211yescharacteristic
44C2×#392C2211yescharacteristic
45C2×#392C2211yescharacteristic
46#2339—28no—
47C2×#391C2211yescharacteristic
48C2×#391C2211yescharacteristic
49C2×#391C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#387C2211yescharacteristic
57C2×#386C2211yescharacteristic
58C2×#386C2211yescharacteristic
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic
64C2×#386C2211yescharacteristic
65C2×#386C2211yescharacteristic
66C2×#386C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#381C2211yescharacteristic
72C2×#381C2211yescharacteristic
73C2×#380C2211yescharacteristic
74C2×#380C2211yescharacteristic
75#2275—28no—
76C2×C4×C4⋊C4C2211yescharacteristic
77C2×C4×C4⋊C4C2211yescharacteristic
78C2×C4×C4⋊C4C2211yescharacteristic
79C2×C4×C4⋊C4C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic
81C2×C4×C22⋊C4C2211yescharacteristic
82C2×C4×C22⋊C4C2211yescharacteristic
83C2×C4×C22⋊C4C2211yescharacteristic
84C2×C4×C22⋊C4C2211yescharacteristic
85C2×C4×C22⋊C4C2211yescharacteristic
86C2×C4×C22⋊C4C2211yescharacteristic
87C2×C4×C22⋊C4C2211yescharacteristic
88C2×C4×C22⋊C4C2211yescharacteristic
89C2×C4×C22⋊C4C2211yescharacteristic
90C2×C4×C22⋊C4C2211yescharacteristic
91C2×C4×C22⋊C4C2211yescharacteristic
92C2×C4×C22⋊C4C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94C2×C4×C22⋊C4C2211yescharacteristic
95C2×C4×C22⋊C4C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97C2×C4×C22⋊C4C2211yescharacteristic
98C2×#376C2211yescharacteristic
99C22×#95C2211yescharacteristic
100C22×#95C2211yescharacteristic
101C22×#95C2211yescharacteristic
102#1446C2211yescharacteristic
103#1446C2211yescharacteristic
104#1445C2211yescharacteristic
105#1444C2211yescharacteristic
106#1443C2211yescharacteristic
107#1442C2211yescharacteristic
108#1442C2211yescharacteristic
109#1441C2211yescharacteristic
110#1441C2211yescharacteristic
111#1441C2211yescharacteristic
112#1441C2211yescharacteristic
113#1441C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1438C2211yescharacteristic
129#1438C2211yescharacteristic
130#1438C2211yescharacteristic
131#1438C2211yescharacteristic
132#1438C2211yescharacteristic
133#1438C2211yescharacteristic
134#1438C2211yescharacteristic
135#1438C2211yescharacteristic
136#1438C2211yescharacteristic
137#1438C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic
149#1437C2211yescharacteristic
150#1436C2211yescharacteristic
151#1436C2211yescharacteristic
152#1436C2211yescharacteristic
153#1436C2211yescharacteristic
154#1436C2211yescharacteristic
155#1436C2211yescharacteristic
156#1436C2211yescharacteristic
157#1436C2211yescharacteristic
158#1436C2211yescharacteristic
159#1436C2211yescharacteristic
160#1436C2211yescharacteristic
161#1436C2211yescharacteristic
162#1436C2211yescharacteristic
163#1436C2211yescharacteristic
164#1436C2211yescharacteristic
165#1436C2211yescharacteristic
166#1436C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169#1436C2211yescharacteristic
170C4⋊#95C2211yescharacteristic
171#1434C2211yescharacteristic
172#1434C2211yescharacteristic
173#1434C2211yescharacteristic
174#1434C2211yescharacteristic
175#1434C2211yescharacteristic
176#1434C2211yescharacteristic
177#1434C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C4×#95C2211yescharacteristic
187C4×#95C2211yescharacteristic
188C4×#95C2211yescharacteristic
189C4×#95C2211yescharacteristic
190C22×#41—24no—
191C22×#41—24no—
192C22×#41—42no—
193C22×#41—42no—
194C22×#41—42no—
195C22×#41—42no—
196C22×#41C2×C418yescomplemented
197C23×Q8C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×C22⋊Q8—42no—
215C2×C22⋊Q8—42no—
216C2×C22⋊Q8C2×C418yescomplemented
217C2×#121—42no—
218C2×#121—42no—
219C2×#121C2×C418yescomplemented
220C2×C4×D4—24no—
221C2×C4×D4—24no—
222C2×C4×D4—24no—
223C2×C4×D4—24no—
224C2×C4×D4—24no—
225C2×C4×D4—24no—
226C2×C4×D4—24no—
227C2×C4×D4—24no—
228C2×C4×D4—24no—
229C2×C4×D4—24no—
230C2×C4×D4—24no—
231C2×C4×D4—42no—
232C2×C4×D4—42no—
233C2×C4×D4—42no—
234C2×C4×D4—42no—
235C2×C4×D4—42no—
236C2×C4×D4—42no—
237C2×C4×D4C2×C418yescomplemented
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C42C2311yescharacteristic
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292C22×C42C2311yescharacteristic
293C22×C42C2311yescharacteristic
294C22×C42C2311yescharacteristic
295C22×C42C2311yescharacteristic
296C22×C42C2311yescharacteristic
297C22×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302C22×C42C2311yescharacteristic
303C22×C42C2311yescharacteristic
304C22×C42C2311yescharacteristic
305C22×C42C2311yescharacteristic
306#394C2×C418yescomplemented
307#394C2×C418yescomplemented
308#392C2×C418yes—
309#392C2×C418yescomplemented
310#391—24no—
311#391—24no—
312#391C2×C418yescomplemented
313#390—24no—
314#390C2×C418yescomplemented
315#388—24no—
316#388—24no—
317#388—42no—
318#388—42no—
319#387—42no—
320#386—24no—
321#386—24no—
322#386—24no—
323#386—24no—
324#386—24no—
325#386—24no—
326#386—42no—
327#386—42no—
328#386C2×C418yescomplemented
329#386C2×C418yescomplemented
330#385—24no—
331#385—42no—
332#385C2×C418yescomplemented
333#385C2×C418yescomplemented
334#381—24no—
335#381—24no—
336#380—24no—
337#380C2×C418yescomplemented
338C4×C4⋊C4—24no—
339C4×C4⋊C4—24no—
340C4×C4⋊C4—24no—
341C4×C4⋊C4—42no—
342C4×C22⋊C4—24no—
343C4×C22⋊C4—24no—
344C4×C22⋊C4—24no—
345C4×C22⋊C4—24no—
346C4×C22⋊C4—24no—
347C4×C22⋊C4—24no—
348C4×C22⋊C4—24no—
349C4×C22⋊C4—24no—
350C4×C22⋊C4—24no—
351C4×C22⋊C4—42no—
352C4×C22⋊C4—42no—
353C4×C22⋊C4—42no—
354C4×C22⋊C4—42no—
355C4×C22⋊C4—42no—
356C4×C22⋊C4—42no—
357C4×C22⋊C4—42no—
358C4×C22⋊C4—42no—
359C4×C22⋊C4—42no—
360#376—24no—
361C2×#95—24no—
362C2×#95—24no—
363C2×#95D418yescomplemented
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C25C2411yescharacteristic
435C25C2411yescharacteristic
436C25C2411yescharacteristic
437C25C2411yescharacteristic
438C2×#41—232no—
439C2×#41—416no—
440C2×#41—416no—
441C2×#41—416no—
442C2×#41—416no—
443C2×#41—416no—
444C2×#41—416no—
445C22×Q8—22no—
446C22×Q8—22no—
447C22×Q8—22no—
448C22×Q8—22no—
449C22×Q8—41no—
450C22×Q8—41no—
451C22×Q8C22×C414yes—
452C22×D4—22no—
453C22×D4—22no—
454C22×D4—22no—
455C22×D4—22no—
456C22×D4—22no—
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
467C22×D4—22no—
468C22×D4—22no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—41no—
477C22×D4—41no—
478C22×D4—41no—
479C22×D4—41no—
480C22×D4—41no—
481C22×D4—41no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4C22×C414yes—
489C22×D4C22×C414yes—
490C22×D4C22×C414yes—
491C22×D4C22×C414yes—
492C22×D4C22×C414yes—
493C22×D4C22×C414yes—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
497C23×C4—22no—
498C23×C4—22no—
499C23×C4—22no—
500C23×C4—22no—
501C23×C4—22no—
502C23×C4—22no—
503C23×C4—22no—
504C23×C4—22no—
505C23×C4—22no—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—41no—
522C23×C4—41no—
523C23×C4—41no—
524C23×C4—41no—
525C23×C4—41no—
526C23×C4—41no—
527C23×C4—41no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—41no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4C22×C414yes—
556C23×C4C22×C414yes—
557C23×C4C22×C414yes—
558C23×C4C22×C414yes—
559C23×C4C2×D414yes—
560C23×C4C2×D414yes—
561C23×C4C2×D414yes—
562C23×C4#4114yes—
563C23×C4#4114yescomplemented
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C22⋊Q8—416no—
592#121—416no—
593C4×D4—232no—
594C4×D4—232no—
595C4×D4—232no—
596C4×D4—416no—
597C4×D4—416no—
598C4×D4—416no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4—41no—
626C2×C4⋊C4—41no—
627C2×C4⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4C22×C414yes—
633C2×C4⋊C4C22×C414yes—
634C2×C4⋊C4C22×C414yes—
635C2×C4⋊C4C22×C414yes—
636C2×C4⋊C4C22×C414yes—
637C2×C4⋊C4#4114yescomplemented
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—41no—
702C2×C22⋊C4—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—41no—
706C2×C22⋊C4—41no—
707C2×C22⋊C4—41no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—41no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4—41no—
715C2×C22⋊C4—41no—
716C2×C22⋊C4—41no—
717C2×C22⋊C4—41no—
718C2×C22⋊C4—41no—
719C2×C22⋊C4—41no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4—41no—
725C2×C22⋊C4—41no—
726C2×C22⋊C4—41no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4C22×C414yes—
740C2×C22⋊C4C22×C414yes—
741C2×C22⋊C4C22×C414yes—
742C2×C22⋊C4C22×C414yes—
743C2×C22⋊C4C22×C414yes—
744C2×C22⋊C4C22×C414yes—
745C2×C22⋊C4C22×C414yes—
746C2×C22⋊C4C22×C414yes—
747C2×C22⋊C4C22×C414yes—
748C2×C22⋊C4C22×C414yes—
749C2×C22⋊C4C22×C414yes—
750C2×C22⋊C4C22×C414yes—
751C2×C22⋊C4#4114yescomplemented
752C2×C42—22no—
753C2×C42—22no—
754C2×C42—22no—
755C2×C42—22no—
756C2×C42—22no—
757C2×C42—22no—
758C2×C42—22no—
759C2×C42—22no—
760C2×C42—22no—
761C2×C42—22no—
762C2×C42—22no—
763C2×C42—22no—
764C2×C42—22no—
765C2×C42—22no—
766C2×C42—22no—
767C2×C42—22no—
768C2×C42—22no—
769C2×C42—22no—
770C2×C42—22no—
771C2×C42—22no—
772C2×C42—22no—
773C2×C42—22no—
774C2×C42—22no—
775C2×C42—22no—
776C2×C42—22no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42—41no—
780C2×C42—41no—
781C2×C42—41no—
782C2×C42—41no—
783C2×C42—41no—
784C2×C42—41no—
785C2×C42—41no—
786C2×C42—41no—
787C2×C42—41no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42—41no—
791C2×C42—41no—
792C2×C42—41no—
793C2×C42—41no—
794C2×C42—41no—
795C2×C42—41no—
796C2×C42—41no—
797C2×C42—41no—
798C2×C42—41no—
799C2×C42—41no—
800C2×C42—41no—
801C2×C42C22×C414yes—
802C2×C42#4114yescomplemented
803#95—22no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—22no—
834#95—22no—
835#95—22no—
836#95—22no—
837#95—22no—
838#95—22no—
839#95—41no—
840#95—41no—
841#95—41no—
842#95—41no—
843#95—41no—
844#95—41no—
845#95—41no—
846#95—41no—
847#95—41no—
848#95—41no—
849#95—41no—
850#95—41no—
851#95—41no—
852#95—41no—
853#95—41no—
854#95—41no—
855#95—41no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95C22×C414yes—
864#95C22×C414yes—
865#95C22×C414yes—
866#95C22×C414yes—
867#95C22×C414yes—
868#95C22×C414yes—
869#95C2×D414yes—
870#95C2×D414yes—
871#95C2×D414yes—
872#95C2×D414yes—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24C23×C412yes—
924C24C23×C412yes—
925C24C23×C412yes—
926C24C23×C412yes—
927C24C22×D412yes—
928C24C2×#4112yes—
929C24C2×#4112yes—
930C24C2×#4112yes—
931C24H(5,𝔽2)12yes—
932C24H(5,𝔽2)12yes—
933C24C2511yescharacteristic
934#41—4128no—
935C2×Q8—28no—
936C2×Q8—28no—
937C2×Q8—44no—
938C2×Q8—44no—
939C2×Q8—44no—
940C2×Q8—44no—
941C2×Q8—44no—
942C2×D4—28no—
943C2×D4—28no—
944C2×D4—28no—
945C2×D4—28no—
946C2×D4—28no—
947C2×D4—28no—
948C2×D4—28no—
949C2×D4—28no—
950C2×D4—28no—
951C2×D4—28no—
952C2×D4—28no—
953C2×D4—28no—
954C2×D4—28no—
955C2×D4—28no—
956C2×D4—28no—
957C2×D4—28no—
958C2×D4—28no—
959C2×D4—28no—
960C2×D4—28no—
961C2×D4—28no—
962C2×D4—44no—
963C2×D4—44no—
964C2×D4—44no—
965C2×D4—44no—
966C2×D4—44no—
967C2×D4—44no—
968C2×D4—44no—
969C2×D4—44no—
970C2×D4—44no—
971C2×D4—44no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—28no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—28no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—82no—
1182C22×C4—82no—
1183C22×C4—82no—
1184C22×C4—82no—
1185C22×C4—82no—
1186C22×C4—82no—
1187C22×C4—82no—
1188C22×C4—82no—
1189C22×C4—82no—
1190C22×C4—82no—
1191C22×C4—82no—
1192C22×C4—82no—
1193C22×C4—82no—
1194C22×C4—82no—
1195C22×C4—82no—
1196C22×C4—82no—
1197C22×C4—82no—
1198C22×C4—82no—
1199C22×C4—82no—
1200C22×C4—82no—
1201C22×C4—82no—
1202C22×C4—82no—
1203C22×C4—82no—
1204C22×C4—82no—
1205C22×C4—82no—
1206C22×C4—82no—
1207C22×C4—82no—
1208C22×C4—82no—
1209C22×C4C4×D4116yescomplemented
1210C22×C4C23×C412yes—
1211C22×C4C23×C412yes—
1212C22×C4C23×C412yes—
1213C22×C4C23×C412yes—
1214C22×C4C23×C412yes—
1215C22×C4C23×C412yes—
1216C22×C4C23×C412yes—
1217C22×C4C23×C412yes—
1218C22×C4C23×C412yes—
1219C22×C4C23×C412yes—
1220C22×C4C23×C412yes—
1221C22×C4C22×D412yes—
1222C22×C4C22×D412yes—
1223C22×C4C22×D412yes—
1224C22×C4C22×D412yes—
1225C22×C4C22×D412yes—
1226C22×C4C22×D412yes—
1227C22×C4C2×#4112yes—
1228C22×C4C2×#4112yes—
1229C22×C4C2×#4112yes—
1230C22×C4C2×#4112yes—
1231C22×C4C2×#4112yes—
1232C22×C4C2×#4112yes—
1233C22×C4C2×#4112yes—
1234C22×C4C2×#4112yes—
1235C22×C4C2×#4112yes—
1236C22×C4C2×#4112yes—
1237C22×C4C2×#4112yes—
1238C22×C4C2×#4112yes—
1239C22×C4H(5,𝔽2)12yes—
1240C22×C4H(5,𝔽2)12yes—
1241C22×C4H(5,𝔽2)12yes—
1242C22×C42−1+412yes—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—82no—
1255C4⋊C4—82no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—82no—
1291C22⋊C4—82no—
1292C22⋊C4—82no—
1293C22⋊C4—82no—
1294C42—28no—
1295C42—28no—
1296C42—28no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—82no—
1302C42—82no—
1303C42—82no—
1304C42—82no—
1305C42—82no—
1306C42—82no—
1307C42—82no—
1308C42—82no—
1309C42—82no—
1310C42—82no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23C2×C4×D414yes—
1449C23C4×#4114yes—
1450C23#51814yes—
1451C23C24×C411yescharacteristic
1452C23C23×D411yescharacteristic
1453C23C22×#4111yescharacteristic
1454C23C22×#4111yescharacteristic
1455C23C22×#4111yescharacteristic
1456C23C22×#4111yescharacteristic
1457C23C22×#4111yescharacteristic
1458C23C2×H(5,𝔽2)11yescharacteristic
1459C23C2×H(5,𝔽2)11yescharacteristic
1460C23C2×H(5,𝔽2)11yescharacteristic
1461C23C2×H(5,𝔽2)11yescharacteristic
1462C23C2×H(5,𝔽2)11yescharacteristic
1463C23C2×2−1+411yescharacteristic
1464C23#58511yescharacteristic
1465C23#58511yescharacteristic
1466Q8—416no—
1467D4—232no—
1468D4—232no—
1469D4—416no—
1470D4—416no—
1471D4—416no—
1472D4—88no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—416no—
1555C2×C4—416no—
1556C2×C4—416no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4C2×C4×D414yes—
1667C2×C4C2×C4×D414yes—
1668C2×C4C4×#4114yes—
1669C2×C4#51814yes—
1670C2×C4#52514yes—
1671C2×C4#52514yes—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22C22×C4×D411yescharacteristic
1733C22C2×C4×#4111yescharacteristic
1734C22C2×C4×#4111yescharacteristic
1735C22C2×#51811yescharacteristic
1736C22C2×#51811yescharacteristic
1737C22C4×H(5,𝔽2)11yescharacteristic
1738C22C4×2−1+411yescharacteristic
1739C22C2×#52511yescharacteristic
1740C22C2×#52511yescharacteristic
1741C22#344411yescharacteristic
1742C22#344411yescharacteristic
1743C22#348411yescharacteristic
1744C22#348411yescharacteristic
1745C22#349011yescharacteristic
1746C22#349011yescharacteristic
1747C22#349011yescharacteristic
1748C22#349211yescharacteristic
1749C22#349211yescharacteristic
1750C22#349311yescharacteristic
1751C22#349411yescharacteristic
1752C22#349411yescharacteristic
1753C22#349611yescharacteristic
1754C22#349711yescharacteristic
1755C22#350511yescharacteristic
1756C22#350611yescharacteristic
1757C22#350811yescharacteristic
1758C22#351111yescharacteristic
1759C22#351311yescharacteristic
1760C22#351311yescharacteristic
1761C22#351411yescharacteristic
1762C22#351711yescharacteristic
1763C22#351911yescharacteristic
1764C22#351911yescharacteristic
1765C22#352011yescharacteristic
1766C22#352211yescharacteristic
1767C4—24no—
1768C4—24no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—81no—
1789C4—81no—
1790C4—81no—
1791C4—81no—
1792C4—81no—
1793C4—81no—
1794C2—44no—
1795C2—44no—
1796C2—44no—
1797C2—82no—
1798C2C4×#52511yescharacteristic
1799C2#3419811yescharacteristic
1800C2#3427411yescharacteristic
1801C2#3429811yescharacteristic
1802C2#3430211yescharacteristic
1803C2#3432711yescharacteristic
1804C2#3433011yescharacteristic
1805C2#3568111yescharacteristic
1806C2#3568211yescharacteristic
1807C2#3569611yescharacteristic
1808C2#3569811yescharacteristic
1809C2#3571411yescharacteristic
1810C2#3571511yescharacteristic
1811C2#3576611yescharacteristic
1812C2#3576911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2407C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2339C2semidirect
3. C2×#2275C2semidirect
4. #14303C2semidirect
5. #14299C2semidirect
6. #14297C2semidirect
7. #14199C2semidirect
8. #14187C2semidirect
9. #14173C2semidirect
10. #14171C2semidirect
11. #14100C2semidirect
12. #14099C2semidirect
13. #14090C2semidirect
14. #14082C2semidirect
15. #14059C2semidirect
16. #14052C2semidirect
17. #14036C2semidirect
18. #14023C2semidirect
19. #13988C2semidirect
20. #13987C2semidirect
21. #13984C2semidirect
22. #13983C2semidirect
23. #13940C2semidirect
24. C4×#394C2semidirect
25. C4×#392C2semidirect
26. #13851C2semidirect
27. #13824C2semidirect
28. #13823C2semidirect
29. #13814C2semidirect
30. #13813C2semidirect
31. #13802C2semidirect
41. #2407C4semidirect
196. C22×#41C2×C4semidirect
216. C2×C22⋊Q8C2×C4semidirect
219. C2×#121C2×C4semidirect
237. C2×C4×D4C2×C4semidirect
306. #394C2×C4semidirect
307. #394C2×C4semidirect
309. #392C2×C4semidirect
312. #391C2×C4semidirect
314. #390C2×C4semidirect
328. #386C2×C4semidirect
329. #386C2×C4semidirect
332. #385C2×C4semidirect
333. #385C2×C4semidirect
337. #380C2×C4semidirect
363. C2×#95D4semidirect
563. C23×C4#41semidirect
637. C2×C4⋊C4#41semidirect
751. C2×C22⋊C4#41semidirect
802. C2×C42#41semidirect
1209. C22×C4C4×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24072
C2×#23392
C2×#22752
#143032
#142992
#142972
#141992
#141872
#141732
#141712
#141002
#140992
#140902
#140822
#140592
#140522
#140362
#140232
#139882
#139872
#139842
#139832
#139402
C4×#3942
C4×#3922
#138512
#138242
#138232
#138142
#138132
#138022