Finite Group Databasebeta

← #2114141

Subgroups — #2114141

Order 512.

2676 conjugacy classes of subgroups.

The subgroup lattice has 1501 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2677C211yesmaximal, characteristic
2C2×#2551C211yesmaximal, characteristic, complemented
3C2×#2438C211yesmaximal, characteristic
4C2×#2628C211yesmaximal, characteristic
5#17132C211yesmaximal, characteristic, complemented
6#17072C211yesmaximal, characteristic, complemented
7#16560C211yesmaximal, characteristic, complemented
8#16507C211yesmaximal, characteristic, complemented
9#16507C211yesmaximal, characteristic, complemented
10#16318C211yesmaximal, characteristic
11#16299C211yesmaximal, characteristic
12#15804C211yesmaximal, characteristic, complemented
13#15789C211yesmaximal, characteristic, complemented
14#15770C211yesmaximal, characteristic
15#15762C211yesmaximal, characteristic, complemented
16#15627C211yesmaximal, characteristic, complemented
17#15430C211yesmaximal, characteristic
18#15367C211yesmaximal, characteristic, complemented
19#15360C211yesmaximal, characteristic, complemented
20#15318C211yesmaximal, characteristic, complemented
21#15294C211yesmaximal, characteristic
22#15265C211yesmaximal, characteristic
23#15125C211yesmaximal, characteristic
24#15075C211yesmaximal, characteristic, complemented
25#14844C211yesmaximal, characteristic, complemented
26#14758C211yesmaximal, characteristic
27#14386C211yesmaximal, characteristic, complemented
28#14382C211yesmaximal, characteristic
29#14178C211yesmaximal, characteristic
30#14063C211yesmaximal, characteristic
31#14004C211yesmaximal, characteristic
32C22×C4⋊Q8C2211yescharacteristic
33C22×C4⋊Q8C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic
35C22×C4⋊Q8C2211yescharacteristic
36C22×C4⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2677—28no—
41#2628—28no—
42#2551—28no—
43#2438—28no—
44C2×#400C2211yescharacteristic
45C2×#400C2211yescharacteristic
46C2×#400C2211yescharacteristic
47C2×#399C2211yescharacteristic
48C2×#399C2211yescharacteristic
49C2×#398C2211yescharacteristic
50C2×#398C2211yescharacteristic
51C2×#398C2211yescharacteristic
52C2×#398C2211yescharacteristic
53C2×#398C2211yescharacteristic
54C2×#398C2211yescharacteristic
55C2×#395C2211yescharacteristic
56C2×#395C2211yescharacteristic
57C2×#395C2211yescharacteristic
58C2×#395C2211yescharacteristic
59C2×#395C2211yescharacteristic
60C2×#395C2211yescharacteristic
61C2×#395C2211yescharacteristic
62C2×#395C2211yescharacteristic
63C2×#395C2211yescharacteristic
64C2×#395C2211yescharacteristic
65C2×#395C2211yescharacteristic
66C2×#395C2211yescharacteristic
67C2×#395C2211yescharacteristic
68C2×#393C2211yescharacteristic
69C2×#393C2211yescharacteristic
70C2×#393C2211yescharacteristic
71C2×#391C2211yescharacteristic
72C2×#389C2211yescharacteristic
73C2×#389C2211yescharacteristic
74C2×#389C2211yescharacteristic
75C2×#389C2211yescharacteristic
76C2×#389C2211yescharacteristic
77C2×#389C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#387C2211yescharacteristic
81C2×#387C2211yescharacteristic
82C2×#387C2211yescharacteristic
83C2×#387C2211yescharacteristic
84C2×#387C2211yescharacteristic
85C2×#387C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#384C2211yescharacteristic
93C2×#382C2211yescharacteristic
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic
98C2×#380C2211yescharacteristic
99C2×C4×C4⋊C4C2211yescharacteristic
100C2×C4×C4⋊C4C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C22×#95C2211yescharacteristic
103#1446C2211yescharacteristic
104#1446C2211yescharacteristic
105#1446C2211yescharacteristic
106#1446C2211yescharacteristic
107#1446C2211yescharacteristic
108#1446C2211yescharacteristic
109#1445C2211yescharacteristic
110#1445C2211yescharacteristic
111#1445C2211yescharacteristic
112#1445C2211yescharacteristic
113#1445C2211yescharacteristic
114#1445C2211yescharacteristic
115#1445C2211yescharacteristic
116#1445C2211yescharacteristic
117#1445C2211yescharacteristic
118#1444C2211yescharacteristic
119#1444C2211yescharacteristic
120#1444C2211yescharacteristic
121#1444C2211yescharacteristic
122#1444C2211yescharacteristic
123#1444C2211yescharacteristic
124#1444C2211yescharacteristic
125#1444C2211yescharacteristic
126#1444C2211yescharacteristic
127#1444C2211yescharacteristic
128#1443C2211yescharacteristic
129#1443C2211yescharacteristic
130#1442C2211yescharacteristic
131#1442C2211yescharacteristic
132#1442C2211yescharacteristic
133#1442C2211yescharacteristic
134#1442C2211yescharacteristic
135#1442C2211yescharacteristic
136#1442C2211yescharacteristic
137#1442C2211yescharacteristic
138#1442C2211yescharacteristic
139#1441C2211yescharacteristic
140#1441C2211yescharacteristic
141#1441C2211yescharacteristic
142#1441C2211yescharacteristic
143#1441C2211yescharacteristic
144#1441C2211yescharacteristic
145#1441C2211yescharacteristic
146#1441C2211yescharacteristic
147#1441C2211yescharacteristic
148#1441C2211yescharacteristic
149#1441C2211yescharacteristic
150#1441C2211yescharacteristic
151#1441C2211yescharacteristic
152#1441C2211yescharacteristic
153#1441C2211yescharacteristic
154#1441C2211yescharacteristic
155#1441C2211yescharacteristic
156#1441C2211yescharacteristic
157#1440C2211yescharacteristic
158#1440C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic
162#1439C2211yescharacteristic
163#1439C2211yescharacteristic
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1436C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169#1436C2211yescharacteristic
170#1436C2211yescharacteristic
171#1436C2211yescharacteristic
172#1436C2211yescharacteristic
173#1436C2211yescharacteristic
174#1436C2211yescharacteristic
175#1436C2211yescharacteristic
176#1436C2211yescharacteristic
177#1436C2211yescharacteristic
178#1436C2211yescharacteristic
179#1436C2211yescharacteristic
180C4⋊#95C2211yescharacteristic
181C4⋊#95C2211yescharacteristic
182C4⋊#95C2211yescharacteristic
183C4⋊#95C2211yescharacteristic
184C4⋊#95C2211yescharacteristic
185#1434C2211yescharacteristic
186#1434C2211yescharacteristic
187#1434C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C23×Q8C2311yescharacteristic
192C23×Q8C2311yescharacteristic
193C23×Q8C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×Q8C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C2×C4⋊Q8—24no—
200C2×C4⋊Q8—24no—
201C2×C4⋊Q8—24no—
202C2×C4⋊Q8—24no—
203C2×C4⋊Q8—24no—
204C2×C4⋊Q8—24no—
205C2×C4⋊Q8—24no—
206C2×C4⋊Q8—42no—
207C2×C4⋊Q8—42no—
208C2×C4⋊Q8—42no—
209C2×C4⋊Q8—42no—
210C2×C4⋊Q8—42no—
211C2×C4⋊Q8—42no—
212C2×C4⋊Q8—42no—
213C2×C4⋊Q8—42no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—42no—
218C2×C22⋊Q8—42no—
219C2×C22⋊Q8—42no—
220C2×#117—24no—
221C2×#117—24no—
222C2×#117—42no—
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×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×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×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×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284#400—24no—
285#400—24no—
286#400—24no—
287#399—24no—
288#399D418yes—
289#398—24no—
290#398—24no—
291#398—24no—
292#398—24no—
293#398—42no—
294#398—42no—
295#395—24no—
296#395—24no—
297#395—24no—
298#395—24no—
299#395—24no—
300#395—24no—
301#395—24no—
302#395—24no—
303#395—24no—
304#395—42no—
305#395—42no—
306#395—42no—
307#395—42no—
308#393—24no—
309#393—24no—
310#393—24no—
311#391—24no—
312#389—24no—
313#389—24no—
314#389—24no—
315#389—24no—
316#389—24no—
317#389D418yes—
318#388—24no—
319#388—24no—
320#387—24no—
321#387—24no—
322#387—24no—
323#387—24no—
324#387—42no—
325#387—42no—
326#385—24no—
327#385—24no—
328#385—24no—
329#385—42no—
330#385—42no—
331#385Q818yescomplemented
332#384—24no—
333#382—24no—
334#381—24no—
335#380—24no—
336#380—24no—
337#380—24no—
338#380—42no—
339C4×C4⋊C4—24no—
340C4×C4⋊C4—24no—
341C4×C22⋊C4—42no—
342C2×#95—24no—
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
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
429C25C2411yescharacteristic
430C22×Q8—22no—
431C22×Q8—22no—
432C22×Q8—22no—
433C22×Q8—22no—
434C22×Q8—22no—
435C22×Q8—22no—
436C22×Q8—22no—
437C22×Q8—22no—
438C22×Q8—22no—
439C22×Q8—22no—
440C22×Q8—22no—
441C22×Q8—22no—
442C22×Q8—22no—
443C22×Q8—41no—
444C22×Q8—41no—
445C22×Q8—41no—
446C22×Q8—41no—
447C22×Q8—41no—
448C22×Q8—41no—
449C22×Q8—41no—
450C22×Q8—41no—
451C22×Q8—41no—
452C22×Q8—41no—
453C22×Q8—41no—
454C22×Q8—41no—
455C22×Q8—41no—
456C22×Q8—41no—
457C22×Q8—41no—
458C22×Q8—41no—
459C22×Q8—41no—
460C22×Q8—41no—
461C22×Q8—41no—
462C22×Q8—41no—
463C22×Q8—41no—
464C22×Q8—41no—
465C23×C4—22no—
466C23×C4—22no—
467C23×C4—22no—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—22no—
471C23×C4—22no—
472C23×C4—22no—
473C23×C4—22no—
474C23×C4—22no—
475C23×C4—22no—
476C23×C4—41no—
477C23×C4—41no—
478C23×C4—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4C2×Q814yes—
486C23×C4C2411yescharacteristic
487C23×C4C2411yescharacteristic
488C23×C4C2411yescharacteristic
489C23×C4C2411yescharacteristic
490C23×C4C2411yescharacteristic
491C23×C4C2411yescharacteristic
492C23×C4C2411yescharacteristic
493C23×C4C2411yescharacteristic
494C23×C4C2411yescharacteristic
495C23×C4C2411yescharacteristic
496C23×C4C2411yescharacteristic
497C23×C4C2411yescharacteristic
498C23×C4C2411yescharacteristic
499C23×C4C2411yescharacteristic
500C23×C4C2411yescharacteristic
501C23×C4C2411yescharacteristic
502C23×C4C2411yescharacteristic
503C23×C4C2411yescharacteristic
504C23×C4C2411yescharacteristic
505C23×C4C2411yescharacteristic
506C23×C4C2411yescharacteristic
507C23×C4C2411yescharacteristic
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C4⋊Q8—416no—
517C4⋊Q8—416no—
518C4⋊Q8—416no—
519C4⋊Q8—416no—
520C4⋊Q8—416no—
521C22⋊Q8—416no—
522C22⋊Q8—416no—
523#117—416no—
524C2×C4⋊C4—22no—
525C2×C4⋊C4—22no—
526C2×C4⋊C4—22no—
527C2×C4⋊C4—22no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—22no—
530C2×C4⋊C4—22no—
531C2×C4⋊C4—22no—
532C2×C4⋊C4—22no—
533C2×C4⋊C4—22no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—22no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—22no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
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—41no—
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⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4C2×D414yes—
639C2×C4⋊C4C2×D414yes—
640C2×C4⋊C4C2×D414yes—
641C2×C4⋊C4C2×D414yes—
642C2×C4⋊C4C2×D414yes—
643C2×C4⋊C4C2×D414yes—
644C2×C4⋊C4C2×D414yes—
645C2×C4⋊C4C2×Q814yes—
646C2×C4⋊C4C2×Q814yes—
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—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4C2×D414yes—
679C2×C22⋊C4C2×D414yes—
680C2×C22⋊C4C2×D414yes—
681C2×C22⋊C4C2×Q814yes—
682C2×C22⋊C4C2×Q814yes—
683C2×C42—22no—
684C2×C42—22no—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—22no—
691C2×C42—22no—
692C2×C42—22no—
693C2×C42—22no—
694C2×C42—22no—
695C2×C42—22no—
696C2×C42—22no—
697C2×C42—22no—
698C2×C42—22no—
699C2×C42—41no—
700C2×C42—41no—
701C2×C42—41no—
702C2×C42—41no—
703C2×C42—41no—
704C2×C42—41no—
705C2×C42—41no—
706C2×C42C2×D414yes—
707#95—22no—
708#95—22no—
709#95—22no—
710#95—22no—
711#95—22no—
712#95—22no—
713#95—22no—
714#95—22no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—22no—
721#95—22no—
722#95—22no—
723#95—22no—
724#95—22no—
725#95—22no—
726#95—22no—
727#95—22no—
728#95—22no—
729#95—22no—
730#95—22no—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—22no—
745#95—22no—
746#95—22no—
747#95—22no—
748#95—22no—
749#95—22no—
750#95—22no—
751#95—22no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—41no—
760#95—41no—
761#95—41no—
762#95—41no—
763#95—41no—
764#95—41no—
765#95—41no—
766#95—41no—
767#95—41no—
768#95—41no—
769#95—41no—
770#95—41no—
771#95—41no—
772#95—41no—
773#95—41no—
774#95—41no—
775#95—41no—
776#95—41no—
777#95—41no—
778#95—41no—
779#95—41no—
780#95—41no—
781#95—41no—
782#95—41no—
783#95—41no—
784#95—41no—
785#95—41no—
786#95—41no—
787#95—41no—
788#95C2×D414yes—
789#95C2×D414yes—
790#95C2×D414yes—
791#95C2×Q814yes—
792#95C2×Q814yes—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24C22×D412yes—
806C24C22×Q812yes—
807C242−1+412yes—
808C24C2511yescharacteristic
809C2×Q8—44no—
810C2×Q8—44no—
811C2×Q8—44no—
812C2×Q8—44no—
813C2×Q8—44no—
814C2×Q8—44no—
815C2×Q8—44no—
816C2×Q8—44no—
817C2×Q8—44no—
818C2×Q8—44no—
819C2×Q8—44no—
820C2×Q8—44no—
821C2×Q8—44no—
822C2×Q8—82no—
823C2×Q8—82no—
824C2×Q8—82no—
825C2×Q8—82no—
826C2×Q8—82no—
827C2×Q8—82no—
828C2×Q8—82no—
829C2×Q8—82no—
830C2×Q8—82no—
831C2×Q8—82no—
832C2×Q8—82no—
833C2×Q8—82no—
834C2×Q8—82no—
835C2×Q8—82no—
836C2×Q8—82no—
837C2×Q8—82no—
838C2×Q8—82no—
839C2×Q8—82no—
840C2×Q8—82no—
841C2×Q8—82no—
842C2×Q8—82no—
843C2×Q8—82no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—28no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
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—28no—
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—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—82no—
1041C22×C4—82no—
1042C22×C4—82no—
1043C22×C4—82no—
1044C22×C4—82no—
1045C22×C4—82no—
1046C22×C4—82no—
1047C22×C4C22×D412yes—
1048C22×C4C22×D412yes—
1049C22×C4C22×D412yes—
1050C22×C4C22×D412yes—
1051C22×C4C22×D412yes—
1052C22×C4C22×D412yes—
1053C22×C4C22×D412yes—
1054C22×C4C22×D412yes—
1055C22×C4C22×D412yes—
1056C22×C4C22×D412yes—
1057C22×C4C22×D412yes—
1058C22×C4C22×D412yes—
1059C22×C4C22×D412yes—
1060C22×C4C22×Q812yes—
1061C22×C4C22×Q812yes—
1062C22×C4C22×Q812yes—
1063C22×C4C22×Q812yes—
1064C22×C4C22×Q812yes—
1065C22×C4C22×Q812yes—
1066C22×C4H(5,𝔽2)12yes—
1067C22×C4H(5,𝔽2)12yes—
1068C22×C4H(5,𝔽2)12yes—
1069C22×C4H(5,𝔽2)12yes—
1070C22×C42−1+412yes—
1071C22×C42−1+412yes—
1072C22×C42−1+412yes—
1073C22×C42−1+412yes—
1074C22×C42−1+412yes—
1075C4⋊C4—28no—
1076C4⋊C4—28no—
1077C4⋊C4—28no—
1078C4⋊C4—28no—
1079C4⋊C4—28no—
1080C4⋊C4—28no—
1081C4⋊C4—44no—
1082C4⋊C4—44no—
1083C4⋊C4—44no—
1084C4⋊C4—44no—
1085C4⋊C4—44no—
1086C4⋊C4—44no—
1087C4⋊C4—44no—
1088C4⋊C4—44no—
1089C4⋊C4—44no—
1090C4⋊C4—44no—
1091C4⋊C4—44no—
1092C4⋊C4—44no—
1093C4⋊C4—44no—
1094C4⋊C4—44no—
1095C4⋊C4—44no—
1096C4⋊C4—44no—
1097C4⋊C4—44no—
1098C4⋊C4—44no—
1099C4⋊C4—44no—
1100C4⋊C4—44no—
1101C4⋊C4—44no—
1102C4⋊C4—44no—
1103C4⋊C4—44no—
1104C4⋊C4—44no—
1105C4⋊C4—44no—
1106C4⋊C4—44no—
1107C4⋊C4—82no—
1108C4⋊C4—82no—
1109C4⋊C4—82no—
1110C4⋊C4—82no—
1111C4⋊C4—82no—
1112C4⋊C4—82no—
1113C4⋊C4—82no—
1114C4⋊C4—82no—
1115C4⋊C4—82no—
1116C22⋊C4—28no—
1117C22⋊C4—28no—
1118C22⋊C4—28no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—82no—
1127C22⋊C4—82no—
1128C42—28no—
1129C42—28no—
1130C42—44no—
1131C42—44no—
1132C42—44no—
1133C42—44no—
1134C42—44no—
1135C42—82no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23D4×Q814yes—
1171C23C23×D411yescharacteristic
1172C23C23×D411yescharacteristic
1173C23C23×Q811yescharacteristic
1174C23C2×H(5,𝔽2)11yescharacteristic
1175C23C2×H(5,𝔽2)11yescharacteristic
1176C23C2×H(5,𝔽2)11yescharacteristic
1177C23C2×H(5,𝔽2)11yescharacteristic
1178C23C2×2−1+411yescharacteristic
1179C23C2×2−1+411yescharacteristic
1180C23C2×2−1+411yescharacteristic
1181C23C2×2−1+411yescharacteristic
1182C23C2×2−1+411yescharacteristic
1183C23C2×2−1+411yescharacteristic
1184C23#58511yescharacteristic
1185C23#58511yescharacteristic
1186Q8—88no—
1187Q8—88no—
1188Q8—88no—
1189Q8—88no—
1190Q8—88no—
1191C2×C4—22no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—22no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—416no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—88no—
1399C2×C4—88no—
1400C2×C4#53614yes—
1401C2×C4#54414yes—
1402C2×C4D4214yes—
1403C2×C4D4×Q814yes—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22C2×#53611yescharacteristic
1420C22C2×#54411yescharacteristic
1421C22C2×D4211yescharacteristic
1422C22C2×D4×Q811yescharacteristic
1423C22C2×D4×Q811yescharacteristic
1424C22#348411yescharacteristic
1425C22#348411yescharacteristic
1426C22#348611yescharacteristic
1427C22#348811yescharacteristic
1428C22#348911yescharacteristic
1429C22#348911yescharacteristic
1430C22#349611yescharacteristic
1431C22#349911yescharacteristic
1432C22#349911yescharacteristic
1433C22#350111yescharacteristic
1434C22#350211yescharacteristic
1435C22#350311yescharacteristic
1436C22#350311yescharacteristic
1437C22#353811yescharacteristic
1438C22#353811yescharacteristic
1439C22#353811yescharacteristic
1440C22#353811yescharacteristic
1441C22#354311yescharacteristic
1442C22#354411yescharacteristic
1443C22#354411yescharacteristic
1444C22#354411yescharacteristic
1445C22#354711yescharacteristic
1446C22#355011yescharacteristic
1447C22#355211yescharacteristic
1448C22#355511yescharacteristic
1449C22#355811yescharacteristic
1450C22#356111yescharacteristic
1451C22#356111yescharacteristic
1452C22#356311yescharacteristic
1453C22#356411yescharacteristic
1454C4—24no—
1455C4—24no—
1456C4—24no—
1457C4—24no—
1458C4—42no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C2—44no—
1485C2#3768611yescharacteristic
1486C2#3933711yescharacteristic
1487C2#3936811yescharacteristic
1488C2#3959711yescharacteristic
1489C2#4059511yescharacteristic
1490C2#4249711yescharacteristic
1491C2#4389111yescharacteristic
1492C2#4487711yescharacteristic
1493C2#4642011yescharacteristic
1494C2#4884211yescharacteristic
1495C2#4958611yescharacteristic
1496C2#5153211yescharacteristic
1497C2#5485411yescharacteristic
1498C2#5896911yescharacteristic
1499C2#5899811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC25C24
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2551C2semidirect
5. #17132C2semidirect
6. #17072C2semidirect
7. #16560C2semidirect
8. #16507C2semidirect
9. #16507C2semidirect
12. #15804C2semidirect
13. #15789C2semidirect
15. #15762C2semidirect
16. #15627C2semidirect
18. #15367C2semidirect
19. #15360C2semidirect
20. #15318C2semidirect
24. #15075C2semidirect
25. #14844C2semidirect
27. #14386C2semidirect
331. #385Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#26772
C2×#25512
C2×#24382
C2×#26282
#171322
#170722
#165602
#165072
#163182
#162992
#158042
#157892
#157702
#157622
#156272
#154302
#153672
#153602
#153182
#152942
#152652
#151252
#150752
#148442
#147582
#143862
#143822
#141782
#140632
#140042