Finite Group Databasebeta

← #539035

Subgroups — #539035

Order 512.

4348 conjugacy classes of subgroups.

The subgroup lattice has 1951 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2342C211yesmaximal, characteristic, complemented
2C2×D4×C22⋊C4C211yesmaximal, characteristic
3C2×#2312C211yesmaximal, characteristic, complemented
4#14429C211yesmaximal, characteristic, complemented
5#14407C211yesmaximal, characteristic, complemented
6#14401C211yesmaximal, characteristic, complemented
7#14374C211yesmaximal, characteristic, complemented
8#14369C211yesmaximal, characteristic, complemented
9#14366C211yesmaximal, characteristic, complemented
10#14366C211yesmaximal, characteristic, complemented
11#14365C211yesmaximal, characteristic, complemented
12#14108C211yesmaximal, characteristic, complemented
13#14084C211yesmaximal, characteristic, complemented
14#14082C211yesmaximal, characteristic, complemented
15#14076C211yesmaximal, characteristic, complemented
16#14071C211yesmaximal, characteristic, complemented
17#14036C211yesmaximal, characteristic, complemented
18#14012C211yesmaximal, characteristic, complemented
19#13971C211yesmaximal, characteristic, complemented
20#13912C211yesmaximal, characteristic, complemented
21#13902C211yesmaximal, characteristic
22#13891C211yesmaximal, characteristic, complemented
23#13890C211yesmaximal, characteristic, complemented
24#13873C211yesmaximal, characteristic, complemented
25#13873C211yesmaximal, characteristic, complemented
26#13871C211yesmaximal, characteristic, complemented
27#13867C211yesmaximal, characteristic
28#13847C211yesmaximal, characteristic, complemented
29#13824C211yesmaximal, characteristic, complemented
30#13816C211yesmaximal, characteristic, complemented
31#13791C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×C4×D4C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C22×#117C2211yescharacteristic, complemented
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39#2342—28no—
40D4×C22⋊C4C4116yescomplemented
41#2312—28no—
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic, complemented
57C2×#388C2211yescharacteristic, complemented
58C2×#388C2211yescharacteristic, complemented
59C2×#388C2211yescharacteristic, complemented
60C2×#388C2211yescharacteristic, complemented
61C2×#388C2211yescharacteristic, complemented
62C2×#388C2211yescharacteristic, complemented
63C2×#388C2211yescharacteristic, complemented
64C2×#387C2211yescharacteristic, complemented
65C2×#387C2211yescharacteristic, complemented
66C2×#386C2211yescharacteristic
67C2×#386C2211yescharacteristic
68C2×#386C2211yescharacteristic
69C2×#386C2211yescharacteristic
70C2×#386C2211yescharacteristic
71C2×#386C2211yescharacteristic
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#385C2211yescharacteristic, complemented
75C2×#385C2211yescharacteristic, complemented
76C2×#385C2211yescharacteristic, complemented
77C2×#381C2211yescharacteristic, complemented
78C2×#380C2211yescharacteristic
79C2×#380C2211yescharacteristic
80C2×#380C2211yescharacteristic, complemented
81C2×#380C2211yescharacteristic, complemented
82C2×#380C2211yescharacteristic, complemented
83C2×#380C2211yescharacteristic, complemented
84C2×#380C2211yescharacteristic, complemented
85C2×#379C2211yescharacteristic
86C2×#379C2211yescharacteristic
87C2×#379C2211yescharacteristic
88C2×#379C2211yescharacteristic
89C2×#379C2211yescharacteristic
90C2×#379C2211yescharacteristic
91C2×#379C2211yescharacteristic
92C2×#379C2211yescharacteristic
93C2×#379C2211yescharacteristic
94C2×C4×C4⋊C4C2211yescharacteristic, complemented
95C2×C4×C22⋊C4C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97C2×C4×C22⋊C4C2211yescharacteristic, complemented
98C2×C4×C22⋊C4C2211yescharacteristic, complemented
99C2×C4×C22⋊C4C2211yescharacteristic, complemented
100C2×C4×C22⋊C4C2211yescharacteristic, complemented
101C2×C4×C22⋊C4C2211yescharacteristic, complemented
102C2×C4×C22⋊C4C2211yescharacteristic, complemented
103C2×C4×C22⋊C4C2211yescharacteristic, complemented
104C2×C4×C22⋊C4C2211yescharacteristic, complemented
105C2×#376C2211yescharacteristic, complemented
106#1445C2211yescharacteristic, complemented
107#1445C2211yescharacteristic, complemented
108#1444C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1442C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic, complemented
119#1440C2211yescharacteristic, complemented
120#1440C2211yescharacteristic, complemented
121#1440C2211yescharacteristic, complemented
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic, complemented
125#1439C2211yescharacteristic, complemented
126#1439C2211yescharacteristic, complemented
127#1439C2211yescharacteristic, complemented
128#1439C2211yescharacteristic, complemented
129#1439C2211yescharacteristic, complemented
130#1439C2211yescharacteristic, complemented
131#1439C2211yescharacteristic, complemented
132#1439C2211yescharacteristic, complemented
133#1439C2211yescharacteristic, complemented
134#1439C2211yescharacteristic, complemented
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1438C2211yescharacteristic
139#1438C2211yescharacteristic
140#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic, complemented
149#1437C2211yescharacteristic, complemented
150#1437C2211yescharacteristic, complemented
151#1437C2211yescharacteristic, complemented
152#1437C2211yescharacteristic, complemented
153#1437C2211yescharacteristic, complemented
154#1437C2211yescharacteristic, complemented
155#1437C2211yescharacteristic, complemented
156#1437C2211yescharacteristic, complemented
157#1437C2211yescharacteristic, complemented
158#1437C2211yescharacteristic, complemented
159#1437C2211yescharacteristic, complemented
160#1437C2211yescharacteristic, complemented
161#1437C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164#1436C2211yescharacteristic, complemented
165#1436C2211yescharacteristic, complemented
166#1436C2211yescharacteristic, complemented
167#1436C2211yescharacteristic, complemented
168#1436C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172C4⋊#95C2211yescharacteristic, complemented
173C4⋊#95C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175#1434C2211yescharacteristic, complemented
176#1434C2211yescharacteristic, complemented
177#1434C2211yescharacteristic, complemented
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic, complemented
181C22⋊#95C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C26C2311yescharacteristic
191C26C2311yescharacteristic
192C23×D4—24no—
193C23×D4—24no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4C2×C418yes—
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C2×C4×D4—42no—
211C2×C4×D4—42no—
212C2×C4×D4—42no—
213C2×C4×D4—42no—
214C2×C4×D4C2×C418yescomplemented
215C2×C4×D4C2×C418yescomplemented
216C2×#117—24no—
217C2×#117—42no—
218C2×#117—42no—
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C22⋊C4—24no—
234C22×C22⋊C4—24no—
235C22×C22⋊C4—24no—
236C22×C22⋊C4—24no—
237C22×C22⋊C4—24no—
238C22×C22⋊C4—42no—
239C22×C22⋊C4—42no—
240C22×C22⋊C4C2×C418yes—
241C22×C22⋊C4C2×C418yescomplemented
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊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×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C42C2311yescharacteristic
297C22×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302C22×C42C2311yescharacteristic
303C22×C42C2311yescharacteristic
304C22×C42C2311yescharacteristic
305C22×C42C2311yescharacteristic
306C22×C42C2311yescharacteristic
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310#390—24no—
311#390—24no—
312#390—42no—
313#390—42no—
314#390C2×C418yes—
315#390C2×C418yes—
316#388—24no—
317#388—24no—
318#388—24no—
319#388—24no—
320#388—24no—
321#388—24no—
322#388—24no—
323#388—24no—
324#388—24no—
325#388—24no—
326#388—24no—
327#388—42no—
328#388—42no—
329#388—42no—
330#388—42no—
331#388D418yescomplemented
332#387—42no—
333#387—42no—
334#386—24no—
335#386—24no—
336#386—42no—
337#386—42no—
338#386C2×C418yes—
339#386C2×C418yes—
340#386C2×C418yescomplemented
341#386C2×C418yescomplemented
342#385—24no—
343#385—24no—
344#385—42no—
345#381—24no—
346#380—24no—
347#380—24no—
348#380—24no—
349#380—42no—
350#380—42no—
351#380—42no—
352#380C2×C418yescomplemented
353#379—24no—
354#379—24no—
355#379—24no—
356#379—42no—
357#379—42no—
358#379—42no—
359#379—42no—
360#379C2×C418yes—
361#379C2×C418yescomplemented
362C4×C4⋊C4—42no—
363C4×C22⋊C4—24no—
364C4×C22⋊C4—24no—
365C4×C22⋊C4—24no—
366C4×C22⋊C4—24no—
367C4×C22⋊C4—24no—
368C4×C22⋊C4—42no—
369C4×C22⋊C4—42no—
370C4×C22⋊C4—42no—
371C4×C22⋊C4—42no—
372C4×C22⋊C4C2×C418yescomplemented
373#376—42no—
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
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—22no—
442C25—22no—
443C25—22no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25—41no—
452C25—41no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25—41no—
458C25—41no—
459C25—41no—
460C25—41no—
461C25—41no—
462C25C22×C414yes—
463C25C22×C414yes—
464C25C2411yescharacteristic
465C25C2411yescharacteristic
466C25C2411yescharacteristic
467C25C2411yescharacteristic
468C25C2411yescharacteristic
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—232no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—416no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4—41no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—416no—
494C22×D4—416no—
495C22×D4—416no—
496C22×D4—416no—
497C22×D4—416no—
498C22×D4C22×C414yes—
499C22×D4C22×C414yes—
500C22×D4C22×C414yes—
501C22×D4C22×C414yes—
502C22×D4#4114yes—
503C22×D4#4114yes—
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—22no—
522C23×C4—22no—
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×C4C22×C414yes—
549C23×C4C22×C414yes—
550C23×C4C22×C414yes—
551C23×C4C22×C414yes—
552C23×C4C22×C414yes—
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
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
579C4×D4—416no—
580C4×D4—416no—
581#117—416no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—22no—
589C2×C4⋊C4—22no—
590C2×C4⋊C4—22no—
591C2×C4⋊C4—22no—
592C2×C4⋊C4—22no—
593C2×C4⋊C4—22no—
594C2×C4⋊C4—22no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4C22×C414yes—
622C2×C4⋊C4C22×C414yes—
623C2×C4⋊C4C2×D414yescomplemented
624C2×C22⋊C4—22no—
625C2×C22⋊C4—22no—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—232no—
642C2×C22⋊C4—232no—
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—416no—
692C2×C22⋊C4—41no—
693C2×C22⋊C4—41no—
694C2×C22⋊C4—41no—
695C2×C22⋊C4—41no—
696C2×C22⋊C4—41no—
697C2×C22⋊C4—41no—
698C2×C22⋊C4—41no—
699C2×C22⋊C4—41no—
700C2×C22⋊C4—41no—
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⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4C22×C414yes—
770C2×C22⋊C4C22×C414yes—
771C2×C22⋊C4C22×C414yes—
772C2×C22⋊C4C22×C414yes—
773C2×C22⋊C4C22×C414yes—
774C2×C22⋊C4C22×C414yes—
775C2×C22⋊C4C22×C414yes—
776C2×C22⋊C4C22×C414yes—
777C2×C22⋊C4C22×C414yes—
778C2×C22⋊C4C22×C414yes—
779C2×C22⋊C4C22×C414yes—
780C2×C22⋊C4C22×C414yes—
781C2×C22⋊C4C22×C414yes—
782C2×C22⋊C4C22×C414yes—
783C2×C22⋊C4C22×C414yes—
784C2×C22⋊C4C22×C414yes—
785C2×C22⋊C4C2×D414yes—
786C2×C22⋊C4C2×D414yes—
787C2×C22⋊C4C2×D414yes—
788C2×C22⋊C4#4114yes—
789C2×C42—22no—
790C2×C42—22no—
791C2×C42—22no—
792C2×C42—22no—
793C2×C42—22no—
794C2×C42—22no—
795C2×C42—22no—
796C2×C42—22no—
797C2×C42—22no—
798C2×C42—22no—
799C2×C42—22no—
800C2×C42—22no—
801C2×C42—22no—
802C2×C42—22no—
803C2×C42—41no—
804C2×C42—41no—
805C2×C42—41no—
806C2×C42—41no—
807C2×C42—41no—
808C2×C42—41no—
809C2×C42—41no—
810C2×C42—41no—
811C2×C42—41no—
812C2×C42—41no—
813C2×C42—41no—
814C2×C42—41no—
815C2×C42—41no—
816C2×C42—41no—
817C2×C42—41no—
818C2×C42—41no—
819C2×C42—41no—
820C2×C42—41no—
821C2×C42—41no—
822C2×C42—41no—
823C2×C42—41no—
824C2×C42—41no—
825C2×C42—41no—
826C2×C42—41no—
827C2×C42—41no—
828C2×C42C22×C414yes—
829C2×C42C22×C414yes—
830C2×C42C2×D414yescomplemented
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—22no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95C22×C414yes—
886#95C22×C414yes—
887#95C22×C414yes—
888#95C22×C414yes—
889#95C2×D414yescomplemented
890#95C2×D414yescomplemented
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—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—28no—
954C24—28no—
955C24—28no—
956C24—28no—
957C24—28no—
958C24—44no—
959C24—44no—
960C24—44no—
961C24—44no—
962C24—44no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—44no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—44no—
974C24—44no—
975C24—44no—
976C24—44no—
977C24—44no—
978C24—44no—
979C24—44no—
980C24—44no—
981C24—44no—
982C24—44no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—82no—
988C24—82no—
989C24—82no—
990C24—82no—
991C24—82no—
992C24—82no—
993C24—82no—
994C24—82no—
995C24—82no—
996C24—82no—
997C24—82no—
998C24—82no—
999C24—82no—
1000C24—82no—
1001C24—82no—
1002C24—82no—
1003C24—82no—
1004C24—82no—
1005C24—82no—
1006C24—82no—
1007C24—82no—
1008C24—82no—
1009C24—82no—
1010C24—82no—
1011C24—82no—
1012C24—82no—
1013C24—82no—
1014C24—82no—
1015C24—82no—
1016C24—82no—
1017C24—82no—
1018C24—82no—
1019C24—82no—
1020C24—82no—
1021C24—82no—
1022C24—82no—
1023C24C23×C412yes—
1024C24C23×C412yes—
1025C24C23×C412yes—
1026C24C23×C412yes—
1027C24C23×C412yes—
1028C24C22×D412yes—
1029C24C2×#4112yes—
1030C24C2×#4112yes—
1031C24C2×#4112yes—
1032C24C2×#4112yes—
1033C24C2×#4112yes—
1034C24H(5,𝔽2)12yes—
1035C24H(5,𝔽2)12yes—
1036C24C2511yescharacteristic
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—28no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—4128no—
1065C2×D4#117116yescomplemented
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—28no—
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—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
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—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
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—21no—
1230C22×C4—21no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—82no—
1253C22×C4—82no—
1254C22×C4—82no—
1255C22×C4—82no—
1256C22×C4—82no—
1257C22×C4—82no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
1261C22×C4—82no—
1262C22×C4—82no—
1263C22×C4—82no—
1264C22×C4—82no—
1265C22×C4—82no—
1266C22×C4—82no—
1267C22×C4—82no—
1268C22×C4—82no—
1269C22×C4—82no—
1270C22×C4—82no—
1271C22×C4—82no—
1272C22×C4—82no—
1273C22×C4C23×C412yes—
1274C22×C4C23×C412yes—
1275C22×C4C23×C412yes—
1276C22×C4C23×C412yes—
1277C22×C4C23×C412yes—
1278C22×C4C23×C412yes—
1279C22×C4C23×C412yes—
1280C22×C4C23×C412yes—
1281C22×C4C23×C412yes—
1282C22×C4C23×C412yes—
1283C22×C4C22×D412yes—
1284C22×C4C22×D412yes—
1285C22×C4C22×D412yes—
1286C22×C4C22×D412yes—
1287C22×C4C22×D412yes—
1288C22×C4C22×D412yes—
1289C22×C4C2×#4112yes—
1290C22×C4C2×#4112yes—
1291C22×C4C2×#4112yes—
1292C22×C4C2×#4112yes—
1293C22×C4H(5,𝔽2)12yes—
1294C22×C4H(5,𝔽2)12yes—
1295C22×C4H(5,𝔽2)12yes—
1296C22×C4H(5,𝔽2)12yes—
1297C4⋊C4—28no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—82no—
1304C4⋊C4—82no—
1305C4⋊C4—82no—
1306C4⋊C4—82no—
1307C4⋊C4—82no—
1308C4⋊C4—82no—
1309C4⋊C4—82no—
1310C4⋊C4—82no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—82no—
1346C22⋊C4—82no—
1347C22⋊C4—82no—
1348C22⋊C4—82no—
1349C22⋊C4—82no—
1350C22⋊C4—82no—
1351C22⋊C4—82no—
1352C22⋊C4—82no—
1353C22⋊C4—82no—
1354C22⋊C4—82no—
1355C22⋊C4—82no—
1356C22⋊C4—82no—
1357C22⋊C4—82no—
1358C22⋊C4—82no—
1359C22⋊C4—82no—
1360C22⋊C4—82no—
1361C22⋊C4—82no—
1362C22⋊C4—82no—
1363C22⋊C4—82no—
1364C22⋊C4C4×D4116yes—
1365C42—28no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—82no—
1372C42—82no—
1373C42—82no—
1374C42—82no—
1375C42—82no—
1376C42—82no—
1377C42—82no—
1378C42—82no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—416no—
1459C23—416no—
1460C23—416no—
1461C23—416no—
1462C23—416no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—88no—
1561C23—88no—
1562C23—88no—
1563C23—88no—
1564C23—88no—
1565C23—88no—
1566C23—88no—
1567C23—88no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—88no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—88no—
1579C23—88no—
1580C23C2×#11714yes—
1581C23C2×#11714yes—
1582C23C2×C4×D414yes—
1583C23#51814yes—
1584C23C24×C411yescharacteristic
1585C23C23×D411yescharacteristic
1586C23C22×#4111yescharacteristic
1587C23C22×#4111yescharacteristic
1588C23C22×#4111yescharacteristic
1589C23C2×H(5,𝔽2)11yescharacteristic
1590C23C2×H(5,𝔽2)11yescharacteristic
1591C23C2×H(5,𝔽2)11yescharacteristic
1592C23C2×H(5,𝔽2)11yescharacteristic
1593C23C2×H(5,𝔽2)11yescharacteristic
1594C23C2×H(5,𝔽2)11yescharacteristic
1595C23#58511yescharacteristic
1596C23#58511yescharacteristic
1597C23#58511yescharacteristic
1598C23#58511yescharacteristic
1599D4—232no—
1600D4—416no—
1601D4—416no—
1602D4—416no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—416no—
1664C2×C4—416no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4—88no—
1788C2×C4C2×#11714yes—
1789C2×C4C2×C4×D414yes—
1790C2×C4C2×C4×D414yes—
1791C2×C4#51814yes—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—24no—
1796C22—24no—
1797C22—24no—
1798C22—24no—
1799C22—24no—
1800C22—24no—
1801C22—24no—
1802C22—24no—
1803C22—24no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—832no—
1860C22—832no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22C22×#11711yescharacteristic
1870C22C22×C4×D411yescharacteristic
1871C22C2×#51811yescharacteristic
1872C22C2×#51811yescharacteristic
1873C22#342811yescharacteristic
1874C22C4×H(5,𝔽2)11yescharacteristic
1875C22C4×H(5,𝔽2)11yescharacteristic
1876C22D4×#4111yescharacteristic
1877C22D4×#4111yescharacteristic
1878C22#347511yescharacteristic
1879C22#347511yescharacteristic
1880C22#348411yescharacteristic
1881C22#348811yescharacteristic
1882C22#349011yescharacteristic
1883C22#349011yescharacteristic
1884C22#349011yescharacteristic
1885C22#349011yescharacteristic
1886C22#349611yescharacteristic
1887C22#349811yescharacteristic
1888C22#351311yescharacteristic
1889C22#351311yescharacteristic
1890C22#351411yescharacteristic
1891C22#351411yescharacteristic
1892C22#351911yescharacteristic
1893C22#351911yescharacteristic
1894C22#351911yescharacteristic
1895C22#352111yescharacteristic
1896C22#353411yescharacteristic
1897C22#354011yescharacteristic
1898C22#354211yescharacteristic
1899C22#354211yescharacteristic
1900C22#354511yescharacteristic
1901C22#354611yescharacteristic
1902C22#356011yescharacteristic
1903C22#356211yescharacteristic
1904C4—24no—
1905C4—24no—
1906C4—24no—
1907C4—24no—
1908C4—42no—
1909C4—42no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4—81no—
1921C4—81no—
1922C4—81no—
1923C4—81no—
1924C4—81no—
1925C4—81no—
1926C4—81no—
1927C4—81no—
1928C4—81no—
1929C4—81no—
1930C2—44no—
1931C2—44no—
1932C2—44no—
1933C2—44no—
1934C2—82no—
1935C2D4×#11711yescharacteristic
1936C2#3417611yescharacteristic
1937C2#3426111yescharacteristic
1938C2#3429011yescharacteristic
1939C2#3431011yescharacteristic
1940C2#3447811yescharacteristic
1941C2#3449211yescharacteristic
1942C2#4303411yescharacteristic
1943C2#4304311yescharacteristic
1944C2#4320811yescharacteristic
1945C2#4321711yescharacteristic
1946C2#4367411yescharacteristic
1947C2#4368111yescharacteristic
1948C2#4414011yescharacteristic
1949C2#4422811yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC24×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2342C2semidirect
3. C2×#2312C2semidirect
4. #14429C2semidirect
5. #14407C2semidirect
6. #14401C2semidirect
7. #14374C2semidirect
8. #14369C2semidirect
9. #14366C2semidirect
10. #14366C2semidirect
11. #14365C2semidirect
12. #14108C2semidirect
13. #14084C2semidirect
14. #14082C2semidirect
15. #14076C2semidirect
16. #14071C2semidirect
17. #14036C2semidirect
18. #14012C2semidirect
19. #13971C2semidirect
20. #13912C2semidirect
22. #13891C2semidirect
23. #13890C2semidirect
24. #13873C2semidirect
25. #13873C2semidirect
26. #13871C2semidirect
28. #13847C2semidirect
29. #13824C2semidirect
30. #13816C2semidirect
31. #13791C2semidirect
35. C22×#117C22semidirect
40. D4×C22⋊C4C4semidirect
56. C2×#388C22semidirect
57. C2×#388C22semidirect
58. C2×#388C22semidirect
59. C2×#388C22semidirect
60. C2×#388C22semidirect
61. C2×#388C22semidirect
62. C2×#388C22semidirect
63. C2×#388C22semidirect
64. C2×#387C22semidirect
65. C2×#387C22semidirect
74. C2×#385C22semidirect
75. C2×#385C22semidirect
76. C2×#385C22semidirect
77. C2×#381C22semidirect
80. C2×#380C22semidirect
81. C2×#380C22semidirect
82. C2×#380C22semidirect
83. C2×#380C22semidirect
84. C2×#380C22semidirect
94. C2×C4×C4⋊C4C22semidirect
97. C2×C4×C22⋊C4C22semidirect
98. C2×C4×C22⋊C4C22semidirect
99. C2×C4×C22⋊C4C22semidirect
100. C2×C4×C22⋊C4C22semidirect
101. C2×C4×C22⋊C4C22semidirect
102. C2×C4×C22⋊C4C22semidirect
103. C2×C4×C22⋊C4C22semidirect
104. C2×C4×C22⋊C4C22semidirect
105. C2×#376C22semidirect
106. #1445C22semidirect
107. #1445C22semidirect
108. #1444C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1442C22semidirect
112. #1441C22semidirect
113. #1441C22semidirect
118. #1440C22semidirect
119. #1440C22semidirect
120. #1440C22semidirect
121. #1440C22semidirect
124. #1439C22semidirect
125. #1439C22semidirect
126. #1439C22semidirect
127. #1439C22semidirect
128. #1439C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
148. #1437C22semidirect
149. #1437C22semidirect
150. #1437C22semidirect
151. #1437C22semidirect
152. #1437C22semidirect
153. #1437C22semidirect
154. #1437C22semidirect
155. #1437C22semidirect
156. #1437C22semidirect
157. #1437C22semidirect
158. #1437C22semidirect
159. #1437C22semidirect
160. #1437C22semidirect
161. #1437C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. #1436C22semidirect
165. #1436C22semidirect
166. #1436C22semidirect
167. #1436C22semidirect
168. #1436C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. C4⋊#95C22semidirect
173. C4⋊#95C22semidirect
174. #1434C22semidirect
175. #1434C22semidirect
176. #1434C22semidirect
177. #1434C22semidirect
180. C22⋊#95C22semidirect
181. C22⋊#95C22semidirect
182. C22⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect
189. C4×#95C22semidirect
214. C2×C4×D4C2×C4semidirect
215. C2×C4×D4C2×C4semidirect
241. C22×C22⋊C4C2×C4semidirect
331. #388D4semidirect
340. #386C2×C4semidirect
341. #386C2×C4semidirect
352. #380C2×C4semidirect
361. #379C2×C4semidirect
372. C4×C22⋊C4C2×C4semidirect
623. C2×C4⋊C4C2×D4semidirect
830. C2×C42C2×D4semidirect
889. #95C2×D4semidirect
890. #95C2×D4semidirect
1065. C2×D4#117semidirect

Maximal subgroups

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

subgroupindex
C2×#23422
C2×D4×C22⋊C42
C2×#23122
#144292
#144072
#144012
#143742
#143692
#143662
#143652
#141082
#140842
#140822
#140762
#140712
#140362
#140122
#139712
#139122
#139022
#138912
#138902
#138732
#138712
#138672
#138472
#138242
#138162
#137912