Finite Group Databasebeta

← #1548088

Subgroups — #1548088

Order 512.

3120 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2677C211yesmaximal, characteristic, complemented
2C2×#2677C211yesmaximal, characteristic, complemented
3C2×#2561C211yesmaximal, characteristic
4C2×#2437C211yesmaximal, characteristic
5#17130C211yesmaximal, characteristic, complemented
6#17104C211yesmaximal, characteristic, complemented
7#16818C211yesmaximal, characteristic, complemented
8#16511C211yesmaximal, characteristic, complemented
9#16511C211yesmaximal, characteristic, complemented
10#16345C211yesmaximal, characteristic, complemented
11#16306C211yesmaximal, characteristic, complemented
12#16303C211yesmaximal, characteristic, complemented
13#16300C211yesmaximal, characteristic, complemented
14#16299C211yesmaximal, characteristic, complemented
15#16254C211yesmaximal, characteristic, complemented
16#15955C211yesmaximal, characteristic, complemented
17#15427C211yesmaximal, characteristic, complemented
18#15426C211yesmaximal, characteristic, complemented
19#15393C211yesmaximal, characteristic, complemented
20#15322C211yesmaximal, characteristic, complemented
21#15286C211yesmaximal, characteristic, complemented
22#15284C211yesmaximal, characteristic
23#15284C211yesmaximal, characteristic
24#15279C211yesmaximal, characteristic, complemented
25#15265C211yesmaximal, characteristic, complemented
26#15178C211yesmaximal, characteristic, complemented
27#14734C211yesmaximal, characteristic
28#14717C211yesmaximal, characteristic
29#14717C211yesmaximal, characteristic
30#14433C211yesmaximal, characteristic, complemented
31#14269C211yesmaximal, characteristic, complemented
32C22×C4⋊Q8C2211yescharacteristic, complemented
33C22×C4⋊Q8C2211yescharacteristic, complemented
34C22×C4⋊Q8C2211yescharacteristic, complemented
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42#2677—28no—
43#2677—28no—
44#2561—28no—
45#2437—28no—
46C2×#399C2211yescharacteristic
47C2×#399C2211yescharacteristic
48C2×#399C2211yescharacteristic
49C2×#399C2211yescharacteristic
50C2×#399C2211yescharacteristic
51C2×#398C2211yescharacteristic, complemented
52C2×#398C2211yescharacteristic, complemented
53C2×#398C2211yescharacteristic, complemented
54C2×#398C2211yescharacteristic, complemented
55C2×#397C2211yescharacteristic
56C2×#397C2211yescharacteristic
57C2×#396C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#395C2211yescharacteristic, complemented
60C2×#395C2211yescharacteristic, complemented
61C2×#395C2211yescharacteristic, complemented
62C2×#395C2211yescharacteristic, complemented
63C2×#395C2211yescharacteristic, complemented
64C2×#395C2211yescharacteristic, complemented
65C2×#395C2211yescharacteristic, complemented
66C2×#393C2211yescharacteristic
67C2×#393C2211yescharacteristic
68C2×#393C2211yescharacteristic
69C2×#393C2211yescharacteristic
70C2×#393C2211yescharacteristic
71C2×#393C2211yescharacteristic
72C2×#393C2211yescharacteristic
73C2×#391C2211yescharacteristic, complemented
74C2×#391C2211yescharacteristic, complemented
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic
81C2×#388C2211yescharacteristic
82C2×#388C2211yescharacteristic
83C2×#387C2211yescharacteristic, complemented
84C2×#387C2211yescharacteristic, complemented
85C2×#387C2211yescharacteristic, complemented
86C2×#387C2211yescharacteristic, complemented
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#381C2211yescharacteristic
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×#379C2211yescharacteristic
103C2×C4×C22⋊C4C2211yescharacteristic
104#1446C2211yescharacteristic, complemented
105#1445C2211yescharacteristic, complemented
106#1445C2211yescharacteristic, complemented
107#1445C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1444C2211yescharacteristic, complemented
113#1444C2211yescharacteristic, complemented
114#1444C2211yescharacteristic, complemented
115#1444C2211yescharacteristic, complemented
116#1443C2211yescharacteristic, complemented
117#1443C2211yescharacteristic, complemented
118#1443C2211yescharacteristic, complemented
119#1443C2211yescharacteristic, complemented
120#1443C2211yescharacteristic, complemented
121#1443C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1442C2211yescharacteristic, complemented
127#1442C2211yescharacteristic, complemented
128#1442C2211yescharacteristic, complemented
129#1442C2211yescharacteristic, complemented
130#1441C2211yescharacteristic, complemented
131#1441C2211yescharacteristic, complemented
132#1441C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1441C2211yescharacteristic, complemented
140#1441C2211yescharacteristic, complemented
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic
143#1440C2211yescharacteristic
144#1440C2211yescharacteristic
145#1440C2211yescharacteristic
146#1440C2211yescharacteristic
147#1440C2211yescharacteristic
148#1440C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic
162#1439C2211yescharacteristic
163#1439C2211yescharacteristic
164#1439C2211yescharacteristic
165#1439C2211yescharacteristic
166#1439C2211yescharacteristic
167#1439C2211yescharacteristic
168#1439C2211yescharacteristic
169#1439C2211yescharacteristic
170#1439C2211yescharacteristic
171#1439C2211yescharacteristic
172#1439C2211yescharacteristic
173#1439C2211yescharacteristic
174#1439C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181C4⋊#95C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C26C2311yescharacteristic
192C23×Q8C2311yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×Q8C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C2×C4⋊Q8—24no—
201C2×C4⋊Q8—24no—
202C2×C4⋊Q8—24no—
203C2×C4⋊Q8—24no—
204C2×C4⋊Q8—42no—
205C2×C4⋊Q8—42no—
206C2×C4⋊Q8—42no—
207C2×C4⋊Q8—42no—
208C2×C4⋊Q8—42no—
209C2×C22⋊Q8—24no—
210C2×C22⋊Q8—24no—
211C2×C22⋊Q8—24no—
212C2×C22⋊Q8—24no—
213C2×C22⋊Q8—24no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—42no—
217C2×C22⋊Q8—42no—
218C2×C22⋊Q8—42no—
219C2×C22⋊Q8—42no—
220C2×C22⋊Q8—42no—
221C2×C22⋊Q8—42no—
222C2×C22⋊Q8—42no—
223C2×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—24no—
257C22×C22⋊C4—42no—
258C22×C22⋊C4—42no—
259C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302#399—24no—
303#399—24no—
304#399—24no—
305#399—42no—
306#399—42no—
307#398—24no—
308#398—24no—
309#398—24no—
310#398—24no—
311#397—24no—
312#397—24no—
313#396—24no—
314#396—24no—
315#395—24no—
316#395—24no—
317#395—24no—
318#395—24no—
319#395—42no—
320#395—42no—
321#395—42no—
322#393—24no—
323#393—24no—
324#393—24no—
325#393—24no—
326#393—24no—
327#393—42no—
328#393—42no—
329#391—42no—
330#391—42no—
331#388—24no—
332#388—24no—
333#388—24no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—42no—
338#388D418yes—
339#387—24no—
340#387—24no—
341#387—24no—
342#387—24no—
343#385—24no—
344#385—24no—
345#385—24no—
346#385—24no—
347#385—42no—
348#385D418yes—
349#381—24no—
350#381—24no—
351#380—24no—
352#380—24no—
353#380—42no—
354#379—24no—
355#379—24no—
356#379—24no—
357#379—42no—
358#379—42no—
359C4×C22⋊C4—24no—
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
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
434C25—22no—
435C25—22no—
436C25—22no—
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—41no—
442C25—41no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25C2411yescharacteristic
450C25C2411yescharacteristic
451C25C2411yescharacteristic
452C22×Q8—22no—
453C22×Q8—22no—
454C22×Q8—22no—
455C22×Q8—22no—
456C22×Q8—22no—
457C22×Q8—22no—
458C22×Q8—22no—
459C22×Q8—22no—
460C22×Q8—22no—
461C22×Q8—22no—
462C22×Q8—22no—
463C22×Q8—22no—
464C22×Q8—22no—
465C22×Q8—41no—
466C22×Q8—41no—
467C22×Q8—41no—
468C22×Q8—41no—
469C22×Q8—41no—
470C22×Q8—41no—
471C22×Q8—41no—
472C22×Q8—41no—
473C22×Q8—41no—
474C22×Q8—41no—
475C22×Q8—41no—
476C22×Q8—41no—
477C22×Q8—41no—
478C22×Q8—41no—
479C22×Q8—41no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—22no—
485C23×C4—22no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—22no—
489C23×C4—22no—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—41no—
504C23×C4—41no—
505C23×C4—41no—
506C23×C4—41no—
507C23×C4C2×D414yes—
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C4⋊Q8—416no—
537C4⋊Q8—416no—
538C4⋊Q8—416no—
539C22⋊Q8—416no—
540C22⋊Q8—416no—
541C22⋊Q8—416no—
542C22⋊Q8—416no—
543C22⋊Q8—416no—
544C2×C4⋊C4—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
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—41no—
594C2×C4⋊C4—41no—
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⋊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⋊C4C2×D414yes—
632C2×C4⋊C4C2×D414yes—
633C2×C4⋊C4C2×D414yes—
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—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—416no—
696C2×C22⋊C4—416no—
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⋊C4C2×D414yes—
746C2×C22⋊C4C2×D414yes—
747C2×C22⋊C4C2×D414yes—
748C2×C22⋊C4C2×D414yes—
749C2×C22⋊C4C2×D414yes—
750C2×C42—22no—
751C2×C42—22no—
752C2×C42—22no—
753C2×C42—22no—
754C2×C42—22no—
755C2×C42—41no—
756C2×C42—41no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42—41no—
760C2×C42—41no—
761C2×C42C2×D414yes—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—22no—
779#95—22no—
780#95—22no—
781#95—22no—
782#95—22no—
783#95—22no—
784#95—22no—
785#95—22no—
786#95—22no—
787#95—22no—
788#95—22no—
789#95—22no—
790#95—22no—
791#95—22no—
792#95—22no—
793#95—22no—
794#95—22no—
795#95—22no—
796#95—22no—
797#95—41no—
798#95—41no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805#95—41no—
806#95—41no—
807#95—41no—
808#95—41no—
809#95—41no—
810#95—41no—
811#95—41no—
812#95—41no—
813#95—41no—
814#95—41no—
815#95—41no—
816#95—41no—
817#95—41no—
818#95—41no—
819#95—41no—
820#95—41no—
821#95—41no—
822#95—41no—
823#95—41no—
824#95—41no—
825#95—41no—
826#95—41no—
827#95—41no—
828#95—41no—
829#95—41no—
830#95—41no—
831#95—41no—
832#95C2×D414yes—
833#95C2×D414yes—
834#95C2×D414yes—
835#95C2×D414yes—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—28no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—44no—
876C24—44no—
877C24—44no—
878C24—44no—
879C24—44no—
880C24—44no—
881C24—44no—
882C24—44no—
883C24—44no—
884C24—44no—
885C24—44no—
886C24—44no—
887C24—44no—
888C24—44no—
889C24—44no—
890C24—44no—
891C24—82no—
892C24—82no—
893C24—82no—
894C24—82no—
895C24—82no—
896C24—82no—
897C24—82no—
898C24—82no—
899C24—82no—
900C24—82no—
901C24—82no—
902C24—82no—
903C24—82no—
904C24—82no—
905C24—82no—
906C24—82no—
907C24—82no—
908C24—82no—
909C24C22×D412yes—
910C24C22×D412yes—
911C242−1+412yes—
912C242−1+412yes—
913C242−1+412yes—
914C242−1+412yes—
915C242−1+412yes—
916C24C2511yescharacteristic
917C2×Q8—44no—
918C2×Q8—44no—
919C2×Q8—44no—
920C2×Q8—44no—
921C2×Q8—44no—
922C2×Q8—44no—
923C2×Q8—44no—
924C2×Q8—44no—
925C2×Q8—44no—
926C2×Q8—44no—
927C2×Q8—44no—
928C2×Q8—44no—
929C2×Q8—44no—
930C2×Q8—82no—
931C2×Q8—82no—
932C2×Q8—82no—
933C2×Q8—82no—
934C2×Q8—82no—
935C2×Q8—82no—
936C2×Q8—82no—
937C2×Q8—82no—
938C2×Q8—82no—
939C2×Q8—82no—
940C2×Q8—82no—
941C2×Q8—82no—
942C2×Q8—82no—
943C2×Q8—82no—
944C2×Q8—82no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
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—21no—
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—28no—
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—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—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—82no—
1138C22×C4—82no—
1139C22×C4—82no—
1140C22×C4—82no—
1141C22×C4—82no—
1142C22×C4—82no—
1143C22×C4—82no—
1144C22×C4—82no—
1145C22×C4—82no—
1146C22×C4—82no—
1147C22×C4—82no—
1148C22×C4—82no—
1149C22×C4—82no—
1150C22×C4—82no—
1151C22×C4—82no—
1152C22×C4C22×D412yes—
1153C22×C4C22×D412yes—
1154C22×C4C22×D412yes—
1155C22×C4C22×D412yes—
1156C22×C4C22×D412yes—
1157C22×C4C22×D412yes—
1158C22×C4C22×D412yes—
1159C22×C4C22×D412yes—
1160C22×C4C22×D412yes—
1161C22×C4C22×D412yes—
1162C22×C4C22×D412yes—
1163C22×C4C22×D412yes—
1164C22×C4H(5,𝔽2)12yes—
1165C22×C4H(5,𝔽2)12yes—
1166C22×C4H(5,𝔽2)12yes—
1167C22×C4H(5,𝔽2)12yes—
1168C22×C4H(5,𝔽2)12yes—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—28no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—82no—
1193C4⋊C4—82no—
1194C4⋊C4—82no—
1195C4⋊C4—82no—
1196C4⋊C4—82no—
1197C4⋊C4—82no—
1198C4⋊C4—82no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—82no—
1226C22⋊C4—82no—
1227C22⋊C4—82no—
1228C22⋊C4—82no—
1229C22⋊C4—82no—
1230C22⋊C4—82no—
1231C22⋊C4—82no—
1232C22⋊C4—82no—
1233C22⋊C4—82no—
1234C22⋊C4—82no—
1235C22⋊C4—82no—
1236C22⋊C4—82no—
1237C42—44no—
1238C42—44no—
1239C42—44no—
1240C42—82no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—416no—
1285C23—416no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—88no—
1347C23—88no—
1348C23—88no—
1349C23—88no—
1350C23—88no—
1351C23—88no—
1352C23—88no—
1353C23—88no—
1354C23—88no—
1355C23—88no—
1356C23—88no—
1357C23—88no—
1358C23—88no—
1359C23#53614yes—
1360C23#53614yes—
1361C23C23×D411yescharacteristic
1362C23C23×D411yescharacteristic
1363C23C2×H(5,𝔽2)11yescharacteristic
1364C23C2×H(5,𝔽2)11yescharacteristic
1365C23C2×H(5,𝔽2)11yescharacteristic
1366C23C2×H(5,𝔽2)11yescharacteristic
1367C23C2×H(5,𝔽2)11yescharacteristic
1368C23C2×2−1+411yescharacteristic
1369C23C2×2−1+411yescharacteristic
1370C23C2×2−1+411yescharacteristic
1371C23C2×2−1+411yescharacteristic
1372C23C2×2−1+411yescharacteristic
1373C23#58511yescharacteristic
1374C23#58511yescharacteristic
1375C23#58511yescharacteristic
1376Q8—88no—
1377Q8—88no—
1378Q8—88no—
1379Q8—88no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
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—88no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4D4214yes—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—832no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22C2×#53611yescharacteristic
1627C22C2×#53611yescharacteristic
1628C22C2×D4211yescharacteristic
1629C22#348411yescharacteristic
1630C22#348411yescharacteristic
1631C22#348411yescharacteristic
1632C22#348611yescharacteristic
1633C22#348911yescharacteristic
1634C22#348911yescharacteristic
1635C22#348911yescharacteristic
1636C22#348911yescharacteristic
1637C22#349811yescharacteristic
1638C22#350011yescharacteristic
1639C22#353511yescharacteristic
1640C22#353511yescharacteristic
1641C22#353511yescharacteristic
1642C22#353711yescharacteristic
1643C22#353711yescharacteristic
1644C22#353811yescharacteristic
1645C22#353811yescharacteristic
1646C22#353811yescharacteristic
1647C22#353811yescharacteristic
1648C22#353811yescharacteristic
1649C22#353811yescharacteristic
1650C22#353811yescharacteristic
1651C22#354111yescharacteristic
1652C22#355111yescharacteristic
1653C22#356011yescharacteristic
1654C22#356111yescharacteristic
1655C22#356111yescharacteristic
1656C22#356111yescharacteristic
1657C22#356111yescharacteristic
1658C22#356111yescharacteristic
1659C22#356111yescharacteristic
1660C22#356111yescharacteristic
1661C4—24no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4—81no—
1684C4—81no—
1685C4—81no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C2—44no—
1690C2—44no—
1691C2—82no—
1692C2#3670811yescharacteristic
1693C2#3765111yescharacteristic
1694C2#3767611yescharacteristic
1695C2#4059511yescharacteristic
1696C2#4059511yescharacteristic
1697C2#4195311yescharacteristic
1698C2#4300111yescharacteristic
1699C2#4635711yescharacteristic
1700C2#4795611yescharacteristic
1701C2#5088811yescharacteristic
1702C2#5140911yescharacteristic
1703C2#5362011yescharacteristic
1704C2#5505111yescharacteristic
1705C2#5898411yescharacteristic
1706C2#5898411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
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×#2677C2semidirect
2. C2×#2677C2semidirect
5. #17130C2semidirect
6. #17104C2semidirect
7. #16818C2semidirect
8. #16511C2semidirect
9. #16511C2semidirect
10. #16345C2semidirect
11. #16306C2semidirect
12. #16303C2semidirect
13. #16300C2semidirect
14. #16299C2semidirect
15. #16254C2semidirect
16. #15955C2semidirect
17. #15427C2semidirect
18. #15426C2semidirect
19. #15393C2semidirect
20. #15322C2semidirect
21. #15286C2semidirect
24. #15279C2semidirect
25. #15265C2semidirect
26. #15178C2semidirect
30. #14433C2semidirect
31. #14269C2semidirect
32. C22×C4⋊Q8C22semidirect
33. C22×C4⋊Q8C22semidirect
34. C22×C4⋊Q8C22semidirect
51. C2×#398C22semidirect
52. C2×#398C22semidirect
53. C2×#398C22semidirect
54. C2×#398C22semidirect
59. C2×#395C22semidirect
60. C2×#395C22semidirect
61. C2×#395C22semidirect
62. C2×#395C22semidirect
63. C2×#395C22semidirect
64. C2×#395C22semidirect
65. C2×#395C22semidirect
73. C2×#391C22semidirect
74. C2×#391C22semidirect
83. C2×#387C22semidirect
84. C2×#387C22semidirect
85. C2×#387C22semidirect
86. C2×#387C22semidirect
104. #1446C22semidirect
105. #1445C22semidirect
106. #1445C22semidirect
107. #1445C22semidirect
108. #1445C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1444C22semidirect
112. #1444C22semidirect
113. #1444C22semidirect
114. #1444C22semidirect
115. #1444C22semidirect
116. #1443C22semidirect
117. #1443C22semidirect
118. #1443C22semidirect
119. #1443C22semidirect
120. #1443C22semidirect
121. #1443C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1442C22semidirect
127. #1442C22semidirect
128. #1442C22semidirect
129. #1442C22semidirect
130. #1441C22semidirect
131. #1441C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
139. #1441C22semidirect
140. #1441C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. C4⋊#95C22semidirect
182. #1434C22semidirect
183. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#26772
C2×#25612
C2×#24372
#171302
#171042
#168182
#165112
#163452
#163062
#163032
#163002
#162992
#162542
#159552
#154272
#154262
#153932
#153222
#152862
#152842
#152792
#152652
#151782
#147342
#147172
#144332
#142692